proconlib
This documentation is automatically generated by competitive-verifier/competitive-verifier
tests/floor.test.cpp
- View this file on GitHub
- Last update: 2025-02-10 01:30:13+09:00
Depends on
- $\left\lfloor \frac{x}{y} \right\rfloor$ (tools/floor.hpp)
- std::is_integral extended for tools::int128_t and tools::uint128_t (tools/is_integral.hpp)
Code
// competitive-verifier: STANDALONE
#include <cstdint>
#include <iostream>
#include "tools/floor.hpp"
int main() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-2147483647)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-4)) == INT32_C(536870912));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-2)) == INT32_C(1073741824));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(1)) == INT32_C(-2147483647) - INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(2)) == INT32_C(-1073741824));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(3)) == INT32_C(-715827883));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(2147483646)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(2147483647)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-2147483647)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-4)) == INT32_C(536870911));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-2)) == INT32_C(1073741823));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-1)) == INT32_C(2147483647));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(1)) == INT32_C(-2147483647));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(2)) == INT32_C(-1073741824));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(3)) == INT32_C(-715827883));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(2147483646)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-4)) == INT32_C(536870911));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-2)) == INT32_C(1073741823));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-1)) == INT32_C(2147483646));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(1)) == INT32_C(-2147483646));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(2)) == INT32_C(-1073741823));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(3)) == INT32_C(-715827882));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-5), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-5), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-5), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-5), INT32_C(-5)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-5), INT32_C(-4)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-5), INT32_C(-3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-5), INT32_C(-2)) == INT32_C(2));
static_assert(tools::floor(INT32_C(-5), INT32_C(-1)) == INT32_C(5));
static_assert(tools::floor(INT32_C(-5), INT32_C(1)) == INT32_C(-5));
static_assert(tools::floor(INT32_C(-5), INT32_C(2)) == INT32_C(-3));
static_assert(tools::floor(INT32_C(-5), INT32_C(3)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-5), INT32_C(4)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-5), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-5), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-5), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-4), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-4), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-4), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-4), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-4), INT32_C(-4)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-4), INT32_C(-3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-4), INT32_C(-2)) == INT32_C(2));
static_assert(tools::floor(INT32_C(-4), INT32_C(-1)) == INT32_C(4));
static_assert(tools::floor(INT32_C(-4), INT32_C(1)) == INT32_C(-4));
static_assert(tools::floor(INT32_C(-4), INT32_C(2)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-4), INT32_C(3)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-4), INT32_C(4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-4), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-4), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-4), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-3), INT32_C(-2)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-3), INT32_C(-1)) == INT32_C(3));
static_assert(tools::floor(INT32_C(-3), INT32_C(1)) == INT32_C(-3));
static_assert(tools::floor(INT32_C(-3), INT32_C(2)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-3), INT32_C(3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-2)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2), INT32_C(-1)) == INT32_C(2));
static_assert(tools::floor(INT32_C(-2), INT32_C(1)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-2), INT32_C(2)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-2)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-1)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-1), INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(2)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(0), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-2)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(2)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-2)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(1)) == INT32_C(1));
static_assert(tools::floor(INT32_C(1), INT32_C(2)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-2)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-1)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(2), INT32_C(1)) == INT32_C(2));
static_assert(tools::floor(INT32_C(2), INT32_C(2)) == INT32_C(1));
static_assert(tools::floor(INT32_C(2), INT32_C(3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(3), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-2)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(3), INT32_C(-1)) == INT32_C(-3));
static_assert(tools::floor(INT32_C(3), INT32_C(1)) == INT32_C(3));
static_assert(tools::floor(INT32_C(3), INT32_C(2)) == INT32_C(1));
static_assert(tools::floor(INT32_C(3), INT32_C(3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(3), INT32_C(4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(3), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(3), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(3), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(4), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-3)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(4), INT32_C(-2)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(4), INT32_C(-1)) == INT32_C(-4));
static_assert(tools::floor(INT32_C(4), INT32_C(1)) == INT32_C(4));
static_assert(tools::floor(INT32_C(4), INT32_C(2)) == INT32_C(2));
static_assert(tools::floor(INT32_C(4), INT32_C(3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(4), INT32_C(4)) == INT32_C(1));
static_assert(tools::floor(INT32_C(4), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(4), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(4), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(5), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(5), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(5), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(5), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(5), INT32_C(-4)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(5), INT32_C(-3)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(5), INT32_C(-2)) == INT32_C(-3));
static_assert(tools::floor(INT32_C(5), INT32_C(-1)) == INT32_C(-5));
static_assert(tools::floor(INT32_C(5), INT32_C(1)) == INT32_C(5));
static_assert(tools::floor(INT32_C(5), INT32_C(2)) == INT32_C(2));
static_assert(tools::floor(INT32_C(5), INT32_C(3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(5), INT32_C(4)) == INT32_C(1));
static_assert(tools::floor(INT32_C(5), INT32_C(5)) == INT32_C(1));
static_assert(tools::floor(INT32_C(5), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(5), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-3)) == INT32_C(-715827882));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-2)) == INT32_C(-1073741823));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-1)) == INT32_C(-2147483646));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(1)) == INT32_C(2147483646));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(2)) == INT32_C(1073741823));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(4)) == INT32_C(536870911));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-2147483646)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-3)) == INT32_C(-715827883));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-2)) == INT32_C(-1073741824));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-1)) == INT32_C(-2147483647));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(1)) == INT32_C(2147483647));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(2)) == INT32_C(1073741823));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(4)) == INT32_C(536870911));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(2147483647)) == INT32_C(1));
static_assert(tools::floor(INT32_C(0), UINT32_C(1)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(1)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(1), UINT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(1)) == UINT32_C(2));
static_assert(tools::floor(INT32_C(2), UINT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(2), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(1)) == UINT32_C(3));
static_assert(tools::floor(INT32_C(3), UINT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(3), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(3), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(1)) == UINT32_C(4));
static_assert(tools::floor(INT32_C(4), UINT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(INT32_C(4), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(4), UINT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(4), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(1)) == UINT32_C(5));
static_assert(tools::floor(INT32_C(5), UINT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(INT32_C(5), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(5), UINT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(5), UINT32_C(5)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(1)) == UINT32_C(2147483646));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(1)) == UINT32_C(2147483647));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-1)) == INT64_C(2147483648));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-1)) == INT64_C(2147483647));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-1)) == INT64_C(2147483646));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(3)) == INT64_C(-715827882));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-5)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-5), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT32_C(-5), INT64_C(-1)) == INT64_C(5));
static_assert(tools::floor(INT32_C(-5), INT64_C(1)) == INT64_C(-5));
static_assert(tools::floor(INT32_C(-5), INT64_C(2)) == INT64_C(-3));
static_assert(tools::floor(INT32_C(-5), INT64_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-5), INT64_C(4)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-5), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-4), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT32_C(-4), INT64_C(-1)) == INT64_C(4));
static_assert(tools::floor(INT32_C(-4), INT64_C(1)) == INT64_C(-4));
static_assert(tools::floor(INT32_C(-4), INT64_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-4), INT64_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-4), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-3), INT64_C(-1)) == INT64_C(3));
static_assert(tools::floor(INT32_C(-3), INT64_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT32_C(-3), INT64_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-3), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2), INT64_C(-1)) == INT64_C(2));
static_assert(tools::floor(INT32_C(-2), INT64_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-2), INT64_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-1)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-1), INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(0), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(1)) == INT64_C(1));
static_assert(tools::floor(INT32_C(1), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-1)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(2), INT64_C(1)) == INT64_C(2));
static_assert(tools::floor(INT32_C(2), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(INT32_C(2), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(3), INT64_C(-1)) == INT64_C(-3));
static_assert(tools::floor(INT32_C(3), INT64_C(1)) == INT64_C(3));
static_assert(tools::floor(INT32_C(3), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(INT32_C(3), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(3), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(4), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(4), INT64_C(-1)) == INT64_C(-4));
static_assert(tools::floor(INT32_C(4), INT64_C(1)) == INT64_C(4));
static_assert(tools::floor(INT32_C(4), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(INT32_C(4), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(4), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(INT32_C(4), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(5), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(5), INT64_C(-2)) == INT64_C(-3));
static_assert(tools::floor(INT32_C(5), INT64_C(-1)) == INT64_C(-5));
static_assert(tools::floor(INT32_C(5), INT64_C(1)) == INT64_C(5));
static_assert(tools::floor(INT32_C(5), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(INT32_C(5), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(5), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(INT32_C(5), INT64_C(5)) == INT64_C(1));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-3)) == INT64_C(-715827882));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(1), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(INT32_C(2), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(2), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(INT32_C(3), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(3), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(3), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(INT32_C(4), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(INT32_C(4), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(4), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(4), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(INT32_C(5), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(INT32_C(5), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(5), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(5), UINT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-2147483647) - INT32_C(1)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-1)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(1)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(1)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(1), INT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(1)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(2), INT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2), INT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), INT32_C(1)) == UINT32_C(3));
static_assert(tools::floor(UINT32_C(3), INT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(3), INT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(3), INT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), INT32_C(1)) == UINT32_C(4));
static_assert(tools::floor(UINT32_C(4), INT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4), INT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4), INT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), INT32_C(1)) == UINT32_C(5));
static_assert(tools::floor(UINT32_C(5), INT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(5), INT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), INT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), INT32_C(5)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(1)) == UINT32_C(2147483646));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(1)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(1)) == UINT32_C(2147483648));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(2)) == UINT32_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(1)) == UINT32_C(2147483649));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(2)) == UINT32_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(3)) == UINT32_C(715827883));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(1)) == UINT32_C(2147483650));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(2)) == UINT32_C(1073741825));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(3)) == UINT32_C(715827883));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(5)) == UINT32_C(429496730));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(1)) == UINT32_C(4294967294));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(2)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(3)) == UINT32_C(1431655764));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(4)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(5)) == UINT32_C(858993458));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(2147483646)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(2147483647)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(1)) == UINT32_C(4294967295));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(2)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(3)) == UINT32_C(1431655765));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(4)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(5)) == UINT32_C(858993459));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(2147483646)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(2147483647)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(0), UINT32_C(1)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(1)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(1)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(1)) == UINT32_C(3));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(3), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(3), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(1)) == UINT32_C(4));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4), UINT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(1)) == UINT32_C(5));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(5), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), UINT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), UINT32_C(5)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(1)) == UINT32_C(2147483646));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(1)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(1)) == UINT32_C(2147483648));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2)) == UINT32_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(1)) == UINT32_C(2147483649));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2)) == UINT32_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(3)) == UINT32_C(715827883));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483649)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(1)) == UINT32_C(2147483650));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2)) == UINT32_C(1073741825));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(3)) == UINT32_C(715827883));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(5)) == UINT32_C(429496730));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483649)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483650)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(1)) == UINT32_C(4294967294));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(3)) == UINT32_C(1431655764));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(4)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(5)) == UINT32_C(858993458));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483646)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483647)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483649)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483650)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(4294967294)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(1)) == UINT32_C(4294967295));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(3)) == UINT32_C(1431655765));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(4)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(5)) == UINT32_C(858993459));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483646)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483647)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483649)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483650)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(4294967294)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(4294967295)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(0), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-1)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(1)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(1), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-1)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2), INT64_C(1)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(2), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(3), INT64_C(-1)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(3), INT64_C(1)) == INT64_C(3));
static_assert(tools::floor(UINT32_C(3), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(3), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(3), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4), INT64_C(-1)) == INT64_C(-4));
static_assert(tools::floor(UINT32_C(4), INT64_C(1)) == INT64_C(4));
static_assert(tools::floor(UINT32_C(4), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(5), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(5), INT64_C(-1)) == INT64_C(-5));
static_assert(tools::floor(UINT32_C(5), INT64_C(1)) == INT64_C(5));
static_assert(tools::floor(UINT32_C(5), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(5), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(5), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(5), INT64_C(5)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-3)) == INT64_C(-715827882));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2)) == INT64_C(-1073741823));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-1)) == INT64_C(-2147483646));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-1)) == INT64_C(-2147483647));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-1)) == INT64_C(-2147483648));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(1)) == INT64_C(2147483648));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-1)) == INT64_C(-2147483649));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(1)) == INT64_C(2147483649));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(3)) == INT64_C(715827883));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-3)) == INT64_C(-715827884));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-1)) == INT64_C(-2147483650));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(1)) == INT64_C(2147483650));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2)) == INT64_C(1073741825));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(3)) == INT64_C(715827883));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(5)) == INT64_C(429496730));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2)) == INT64_C(-2147483647));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-1)) == INT64_C(-4294967294));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(1)) == INT64_C(4294967294));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(3)) == INT64_C(1431655764));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(5)) == INT64_C(858993458));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-1)) == INT64_C(-4294967295));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(3), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(5), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(5), UINT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-4)) == INT64_C(2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-2)) == INT64_C(4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(1)) == INT64_C(-9223372036854775807) - INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT32_C(-5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT32_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT32_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT32_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-5), INT32_C(-1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(-5), INT32_C(1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(-5), INT32_C(2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-5), INT32_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), INT32_C(4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT32_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4), INT32_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4), INT32_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4), INT32_C(-1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(-4), INT32_C(1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(-4), INT32_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), INT32_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), INT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-3), INT32_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-3), INT32_C(-1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(-3), INT32_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-3), INT32_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-3), INT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2), INT32_C(-1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-2), INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2), INT32_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-1), INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(0), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(1), INT32_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2), INT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(2), INT32_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2), INT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(3), INT32_C(-1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(3), INT32_C(1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(3), INT32_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), INT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), INT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4), INT32_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4), INT32_C(-1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(4), INT32_C(1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(4), INT32_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4), INT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), INT32_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT32_C(-4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(5), INT32_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(5), INT32_C(-2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(5), INT32_C(-1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(5), INT32_C(1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(5), INT32_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(5), INT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT32_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT32_C(5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(1)) == INT64_C(-9223372036854775807) - INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483649)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(4294967294)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-5), UINT32_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), UINT32_C(4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), UINT32_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), UINT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-3), UINT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(0), UINT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(1), UINT32_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(2), UINT32_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2), UINT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(3), UINT32_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), UINT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), UINT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(4), UINT32_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4), UINT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), UINT32_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(5), UINT32_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(5), UINT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT32_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT32_C(5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483649)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-9223372036854775807)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967296)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483648)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4)) == INT64_C(2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2)) == INT64_C(4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(1)) == INT64_C(-9223372036854775807) - INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967298)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(9223372036854775806)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(9223372036854775807)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-9223372036854775807)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967296)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967298)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(9223372036854775806)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967296)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483649)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967294)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967298)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967298)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967297)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483649)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967296)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967297)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967297)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967296)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-5), INT64_C(-1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(-5), INT64_C(1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(-5), INT64_C(2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-5), INT64_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), INT64_C(4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4), INT64_C(-1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(-4), INT64_C(1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(-4), INT64_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), INT64_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-3), INT64_C(-1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(-3), INT64_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-3), INT64_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-3), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2), INT64_C(-1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-2), INT64_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2), INT64_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-1), INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(0), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(1), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2), INT64_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(2), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(3), INT64_C(-1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(3), INT64_C(1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(3), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4), INT64_C(-1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(4), INT64_C(1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(4), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(5), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(5), INT64_C(-2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(5), INT64_C(-1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(5), INT64_C(1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(5), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(5), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT64_C(5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967296)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967297)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967297)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967296)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483649)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967297)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967298)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967298)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967294)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483649)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967296)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-9223372036854775806)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967298)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967296)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(9223372036854775807)) == INT64_C(1));
static_assert(tools::floor(INT64_C(0), UINT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(1), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(2), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(INT64_C(3), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(3), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(3), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(INT64_C(4), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(INT64_C(5), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(5), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483649)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967298)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-2147483647) - INT32_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(1), INT32_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(2), INT32_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2), INT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT32_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT64_C(3), INT32_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), INT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), INT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT32_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT64_C(4), INT32_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4), INT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), INT32_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT32_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT64_C(5), INT32_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(5), INT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT32_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT32_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(1)) == UINT64_C(9223372036854775808));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(1)) == UINT64_C(9223372036854775809));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(1)) == UINT64_C(9223372036854775810));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(2)) == UINT64_C(4611686018427387905));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(5)) == UINT64_C(1844674407370955162));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(1)) == UINT64_C(18446744073709551614));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(3)) == UINT64_C(6148914691236517204));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(5)) == UINT64_C(3689348814741910322));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(1)) == UINT64_C(18446744073709551615));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(3)) == UINT64_C(6148914691236517205));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(5)) == UINT64_C(3689348814741910323));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(0), UINT32_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2), UINT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), UINT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), UINT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4), UINT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), UINT32_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(5), UINT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT32_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT32_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483649)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(1)) == UINT64_C(9223372036854775808));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(1)) == UINT64_C(9223372036854775809));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(1)) == UINT64_C(9223372036854775810));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2)) == UINT64_C(4611686018427387905));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(5)) == UINT64_C(1844674407370955162));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(1)) == UINT64_C(18446744073709551614));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(3)) == UINT64_C(6148914691236517204));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(5)) == UINT64_C(3689348814741910322));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(4294967295)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(1)) == UINT64_C(18446744073709551615));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(3)) == UINT64_C(6148914691236517205));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(5)) == UINT64_C(3689348814741910323));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(4294967295)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(0), INT64_C(-9223372036854775807) - INT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(1), INT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(2), INT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2), INT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT64_C(3), INT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), INT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), INT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT64_C(4), INT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4), INT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), INT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT64_C(5), INT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(5), INT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483649)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967298)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(1)) == UINT64_C(9223372036854775808));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(1)) == UINT64_C(9223372036854775809));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(1)) == UINT64_C(9223372036854775810));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2)) == UINT64_C(4611686018427387905));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(5)) == UINT64_C(1844674407370955162));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(1)) == UINT64_C(18446744073709551614));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(3)) == UINT64_C(6148914691236517204));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(5)) == UINT64_C(3689348814741910322));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967295)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967296)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967297)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967298)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(9223372036854775806)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(9223372036854775807)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(1)) == UINT64_C(18446744073709551615));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(3)) == UINT64_C(6148914691236517205));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(5)) == UINT64_C(3689348814741910323));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967295)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967296)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967297)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967298)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(9223372036854775806)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(9223372036854775807)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(0), UINT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(5), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483649)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967298)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(1)) == UINT64_C(9223372036854775808));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(1)) == UINT64_C(9223372036854775809));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775809)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(1)) == UINT64_C(9223372036854775810));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2)) == UINT64_C(4611686018427387905));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(5)) == UINT64_C(1844674407370955162));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775809)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775810)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(1)) == UINT64_C(18446744073709551614));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(3)) == UINT64_C(6148914691236517204));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(5)) == UINT64_C(3689348814741910322));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967295)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967296)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967297)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967298)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775806)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775807)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775809)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775810)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(18446744073709551614)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(1)) == UINT64_C(18446744073709551615));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(3)) == UINT64_C(6148914691236517205));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(5)) == UINT64_C(3689348814741910323));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967295)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967296)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967297)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967298)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775806)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775807)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775809)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775810)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(18446744073709551614)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(18446744073709551615)) == UINT64_C(1));
return 0;
}
#line 1 "tests/floor.test.cpp"
// competitive-verifier: STANDALONE
#include <cstdint>
#include <iostream>
#line 1 "tools/floor.hpp"
#include <cassert>
#include <type_traits>
#line 1 "tools/is_integral.hpp"
#line 5 "tools/is_integral.hpp"
namespace tools {
template <typename T>
struct is_integral : ::std::is_integral<T> {};
template <typename T>
inline constexpr bool is_integral_v = ::tools::is_integral<T>::value;
}
#line 7 "tools/floor.hpp"
namespace tools {
template <typename M, typename N> requires (
::tools::is_integral_v<M> && !::std::is_same_v<::std::remove_cv_t<M>, bool> &&
::tools::is_integral_v<N> && !::std::is_same_v<::std::remove_cv_t<N>, bool>)
constexpr ::std::common_type_t<M, N> floor(const M x, const N y) noexcept {
assert(y != 0);
if (y >= 0) {
if (x >= 0) {
return x / y;
} else {
return (x + 1) / y - 1;
}
} else {
if (x > 0) {
return (x - 1) / y - 1;
} else {
return x / y;
}
}
}
}
#line 6 "tests/floor.test.cpp"
int main() {
std::cin.tie(nullptr);
std::ios_base::sync_with_stdio(false);
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-2147483647)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-4)) == INT32_C(536870912));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(-2)) == INT32_C(1073741824));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(1)) == INT32_C(-2147483647) - INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(2)) == INT32_C(-1073741824));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(3)) == INT32_C(-715827883));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(2147483646)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT32_C(2147483647)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-2147483647)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-4)) == INT32_C(536870911));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-2)) == INT32_C(1073741823));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(-1)) == INT32_C(2147483647));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(1)) == INT32_C(-2147483647));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(2)) == INT32_C(-1073741824));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(3)) == INT32_C(-715827883));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(2147483646)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-2147483647), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-4)) == INT32_C(536870911));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-2)) == INT32_C(1073741823));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(-1)) == INT32_C(2147483646));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(1)) == INT32_C(-2147483646));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(2)) == INT32_C(-1073741823));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(3)) == INT32_C(-715827882));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-5), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-5), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-5), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-5), INT32_C(-5)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-5), INT32_C(-4)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-5), INT32_C(-3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-5), INT32_C(-2)) == INT32_C(2));
static_assert(tools::floor(INT32_C(-5), INT32_C(-1)) == INT32_C(5));
static_assert(tools::floor(INT32_C(-5), INT32_C(1)) == INT32_C(-5));
static_assert(tools::floor(INT32_C(-5), INT32_C(2)) == INT32_C(-3));
static_assert(tools::floor(INT32_C(-5), INT32_C(3)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-5), INT32_C(4)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-5), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-5), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-5), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-4), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-4), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-4), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-4), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-4), INT32_C(-4)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-4), INT32_C(-3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-4), INT32_C(-2)) == INT32_C(2));
static_assert(tools::floor(INT32_C(-4), INT32_C(-1)) == INT32_C(4));
static_assert(tools::floor(INT32_C(-4), INT32_C(1)) == INT32_C(-4));
static_assert(tools::floor(INT32_C(-4), INT32_C(2)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-4), INT32_C(3)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-4), INT32_C(4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-4), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-4), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-4), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-3), INT32_C(-3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-3), INT32_C(-2)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-3), INT32_C(-1)) == INT32_C(3));
static_assert(tools::floor(INT32_C(-3), INT32_C(1)) == INT32_C(-3));
static_assert(tools::floor(INT32_C(-3), INT32_C(2)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-3), INT32_C(3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-3), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-2), INT32_C(-2)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-2), INT32_C(-1)) == INT32_C(2));
static_assert(tools::floor(INT32_C(-2), INT32_C(1)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(-2), INT32_C(2)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-2), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-2)) == INT32_C(0));
static_assert(tools::floor(INT32_C(-1), INT32_C(-1)) == INT32_C(1));
static_assert(tools::floor(INT32_C(-1), INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(2)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(-1), INT32_C(2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(0), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-2)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(-1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(1)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(2)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(0), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-2)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(-1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(1), INT32_C(1)) == INT32_C(1));
static_assert(tools::floor(INT32_C(1), INT32_C(2)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(1), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-2)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2), INT32_C(-1)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(2), INT32_C(1)) == INT32_C(2));
static_assert(tools::floor(INT32_C(2), INT32_C(2)) == INT32_C(1));
static_assert(tools::floor(INT32_C(2), INT32_C(3)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(3), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-3)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(3), INT32_C(-2)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(3), INT32_C(-1)) == INT32_C(-3));
static_assert(tools::floor(INT32_C(3), INT32_C(1)) == INT32_C(3));
static_assert(tools::floor(INT32_C(3), INT32_C(2)) == INT32_C(1));
static_assert(tools::floor(INT32_C(3), INT32_C(3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(3), INT32_C(4)) == INT32_C(0));
static_assert(tools::floor(INT32_C(3), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(3), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(3), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(4), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-4)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(4), INT32_C(-3)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(4), INT32_C(-2)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(4), INT32_C(-1)) == INT32_C(-4));
static_assert(tools::floor(INT32_C(4), INT32_C(1)) == INT32_C(4));
static_assert(tools::floor(INT32_C(4), INT32_C(2)) == INT32_C(2));
static_assert(tools::floor(INT32_C(4), INT32_C(3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(4), INT32_C(4)) == INT32_C(1));
static_assert(tools::floor(INT32_C(4), INT32_C(5)) == INT32_C(0));
static_assert(tools::floor(INT32_C(4), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(4), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(5), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(5), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(5), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(5), INT32_C(-5)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(5), INT32_C(-4)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(5), INT32_C(-3)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(5), INT32_C(-2)) == INT32_C(-3));
static_assert(tools::floor(INT32_C(5), INT32_C(-1)) == INT32_C(-5));
static_assert(tools::floor(INT32_C(5), INT32_C(1)) == INT32_C(5));
static_assert(tools::floor(INT32_C(5), INT32_C(2)) == INT32_C(2));
static_assert(tools::floor(INT32_C(5), INT32_C(3)) == INT32_C(1));
static_assert(tools::floor(INT32_C(5), INT32_C(4)) == INT32_C(1));
static_assert(tools::floor(INT32_C(5), INT32_C(5)) == INT32_C(1));
static_assert(tools::floor(INT32_C(5), INT32_C(2147483646)) == INT32_C(0));
static_assert(tools::floor(INT32_C(5), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-2147483646)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-3)) == INT32_C(-715827882));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-2)) == INT32_C(-1073741823));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(-1)) == INT32_C(-2147483646));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(1)) == INT32_C(2147483646));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(2)) == INT32_C(1073741823));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(4)) == INT32_C(536870911));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(2147483646), INT32_C(2147483647)) == INT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-2147483647) - INT32_C(1)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-2147483647)) == INT32_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-2147483646)) == INT32_C(-2));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-5)) == INT32_C(-429496730));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-4)) == INT32_C(-536870912));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-3)) == INT32_C(-715827883));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-2)) == INT32_C(-1073741824));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(-1)) == INT32_C(-2147483647));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(1)) == INT32_C(2147483647));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(2)) == INT32_C(1073741823));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(3)) == INT32_C(715827882));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(4)) == INT32_C(536870911));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(5)) == INT32_C(429496729));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(2147483646)) == INT32_C(1));
static_assert(tools::floor(INT32_C(2147483647), INT32_C(2147483647)) == INT32_C(1));
static_assert(tools::floor(INT32_C(0), UINT32_C(1)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(0), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(1)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(1), UINT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(1), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(1)) == UINT32_C(2));
static_assert(tools::floor(INT32_C(2), UINT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(2), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(1)) == UINT32_C(3));
static_assert(tools::floor(INT32_C(3), UINT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(3), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(3), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(3), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(1)) == UINT32_C(4));
static_assert(tools::floor(INT32_C(4), UINT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(INT32_C(4), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(4), UINT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(4), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(4), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(1)) == UINT32_C(5));
static_assert(tools::floor(INT32_C(5), UINT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(INT32_C(5), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(5), UINT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(5), UINT32_C(5)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(5), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(1)) == UINT32_C(2147483646));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(1)) == UINT32_C(2147483647));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(-1)) == INT64_C(2147483648));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647) - INT32_C(1), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(-1)) == INT64_C(2147483647));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483647), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(-1)) == INT64_C(2147483646));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(3)) == INT64_C(-715827882));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2147483646), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-5), INT64_C(-5)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-5), INT64_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-5), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-5), INT64_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT32_C(-5), INT64_C(-1)) == INT64_C(5));
static_assert(tools::floor(INT32_C(-5), INT64_C(1)) == INT64_C(-5));
static_assert(tools::floor(INT32_C(-5), INT64_C(2)) == INT64_C(-3));
static_assert(tools::floor(INT32_C(-5), INT64_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-5), INT64_C(4)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-5), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-5), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-4), INT64_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-4), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-4), INT64_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT32_C(-4), INT64_C(-1)) == INT64_C(4));
static_assert(tools::floor(INT32_C(-4), INT64_C(1)) == INT64_C(-4));
static_assert(tools::floor(INT32_C(-4), INT64_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-4), INT64_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-4), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-4), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-3), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-3), INT64_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-3), INT64_C(-1)) == INT64_C(3));
static_assert(tools::floor(INT32_C(-3), INT64_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT32_C(-3), INT64_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-3), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-3), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-2), INT64_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-2), INT64_C(-1)) == INT64_C(2));
static_assert(tools::floor(INT32_C(-2), INT64_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(-2), INT64_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-2), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT32_C(-1), INT64_C(-1)) == INT64_C(1));
static_assert(tools::floor(INT32_C(-1), INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(-1), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(0), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(-1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(-1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(1), INT64_C(1)) == INT64_C(1));
static_assert(tools::floor(INT32_C(1), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(1), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2), INT64_C(-1)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(2), INT64_C(1)) == INT64_C(2));
static_assert(tools::floor(INT32_C(2), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(INT32_C(2), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(3), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(3), INT64_C(-1)) == INT64_C(-3));
static_assert(tools::floor(INT32_C(3), INT64_C(1)) == INT64_C(3));
static_assert(tools::floor(INT32_C(3), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(INT32_C(3), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(3), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(3), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(4), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(4), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(4), INT64_C(-1)) == INT64_C(-4));
static_assert(tools::floor(INT32_C(4), INT64_C(1)) == INT64_C(4));
static_assert(tools::floor(INT32_C(4), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(INT32_C(4), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(4), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(INT32_C(4), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(4), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(5), INT64_C(-4)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(5), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(5), INT64_C(-2)) == INT64_C(-3));
static_assert(tools::floor(INT32_C(5), INT64_C(-1)) == INT64_C(-5));
static_assert(tools::floor(INT32_C(5), INT64_C(1)) == INT64_C(5));
static_assert(tools::floor(INT32_C(5), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(INT32_C(5), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT32_C(5), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(INT32_C(5), INT64_C(5)) == INT64_C(1));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(5), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-3)) == INT64_C(-715827882));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(-1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(-1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(0), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(1), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(1), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(INT32_C(2), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(2), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(INT32_C(3), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(3), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(3), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(3), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(INT32_C(4), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(INT32_C(4), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(4), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(4), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(4), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(INT32_C(5), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(INT32_C(5), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(5), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(5), UINT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(5), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483646), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT32_C(2147483647), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-2147483647) - INT32_C(1)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(-1)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(1)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(1)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(1), INT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(1)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(2), INT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2), INT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), INT32_C(1)) == UINT32_C(3));
static_assert(tools::floor(UINT32_C(3), INT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(3), INT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(3), INT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), INT32_C(1)) == UINT32_C(4));
static_assert(tools::floor(UINT32_C(4), INT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4), INT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4), INT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4), INT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), INT32_C(1)) == UINT32_C(5));
static_assert(tools::floor(UINT32_C(5), INT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(5), INT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), INT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), INT32_C(5)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), INT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(1)) == UINT32_C(2147483646));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483646), INT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(1)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483647), INT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(1)) == UINT32_C(2147483648));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(2)) == UINT32_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(1)) == UINT32_C(2147483649));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(2)) == UINT32_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(3)) == UINT32_C(715827883));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(1)) == UINT32_C(2147483650));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(2)) == UINT32_C(1073741825));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(3)) == UINT32_C(715827883));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(5)) == UINT32_C(429496730));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(1)) == UINT32_C(4294967294));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(2)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(3)) == UINT32_C(1431655764));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(4)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(5)) == UINT32_C(858993458));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(2147483646)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967294), INT32_C(2147483647)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(1)) == UINT32_C(4294967295));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(2)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(3)) == UINT32_C(1431655765));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(4)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(5)) == UINT32_C(858993459));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(2147483646)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967295), INT32_C(2147483647)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(0), UINT32_C(1)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(0), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(1)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(1), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(1)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2), UINT32_C(3)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(1)) == UINT32_C(3));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(3), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(3), UINT32_C(4)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(3), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(1)) == UINT32_C(4));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4), UINT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4), UINT32_C(5)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(1)) == UINT32_C(5));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(5), UINT32_C(3)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), UINT32_C(4)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), UINT32_C(5)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483646)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(5), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(1)) == UINT32_C(2147483646));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483647)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(1)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(4)) == UINT32_C(536870911));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483648)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(1)) == UINT32_C(2147483648));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2)) == UINT32_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(3)) == UINT32_C(715827882));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483649)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(1)) == UINT32_C(2147483649));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2)) == UINT32_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(3)) == UINT32_C(715827883));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(5)) == UINT32_C(429496729));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483649)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(2147483650)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(1)) == UINT32_C(2147483650));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2)) == UINT32_C(1073741825));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(3)) == UINT32_C(715827883));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(4)) == UINT32_C(536870912));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(5)) == UINT32_C(429496730));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483646)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483647)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483649)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(2147483650)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(4294967294)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(1)) == UINT32_C(4294967294));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(3)) == UINT32_C(1431655764));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(4)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(5)) == UINT32_C(858993458));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483646)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483647)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483649)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(2147483650)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(4294967294)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT32_C(4294967295)) == UINT32_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(1)) == UINT32_C(4294967295));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2)) == UINT32_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(3)) == UINT32_C(1431655765));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(4)) == UINT32_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(5)) == UINT32_C(858993459));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483646)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483647)) == UINT32_C(2));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483648)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483649)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(2147483650)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(4294967294)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT32_C(4294967295)) == UINT32_C(1));
static_assert(tools::floor(UINT32_C(0), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(-1)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(-1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(1), INT64_C(1)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(1), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(1), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2), INT64_C(-1)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2), INT64_C(1)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(2), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(3), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(3), INT64_C(-1)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(3), INT64_C(1)) == INT64_C(3));
static_assert(tools::floor(UINT32_C(3), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(3), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(3), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(3), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4), INT64_C(-1)) == INT64_C(-4));
static_assert(tools::floor(UINT32_C(4), INT64_C(1)) == INT64_C(4));
static_assert(tools::floor(UINT32_C(4), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(5), INT64_C(-4)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(5), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(5), INT64_C(-2)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(5), INT64_C(-1)) == INT64_C(-5));
static_assert(tools::floor(UINT32_C(5), INT64_C(1)) == INT64_C(5));
static_assert(tools::floor(UINT32_C(5), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(5), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(5), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(5), INT64_C(5)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(5), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-3)) == INT64_C(-715827882));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-2)) == INT64_C(-1073741823));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(-1)) == INT64_C(-2147483646));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(-1)) == INT64_C(-2147483647));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(-1)) == INT64_C(-2147483648));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(1)) == INT64_C(2147483648));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(-1)) == INT64_C(-2147483649));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(1)) == INT64_C(2147483649));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(3)) == INT64_C(715827883));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-3)) == INT64_C(-715827884));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(-1)) == INT64_C(-2147483650));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(1)) == INT64_C(2147483650));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2)) == INT64_C(1073741825));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(3)) == INT64_C(715827883));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(5)) == INT64_C(429496730));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-2)) == INT64_C(-2147483647));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(-1)) == INT64_C(-4294967294));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(1)) == INT64_C(4294967294));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(3)) == INT64_C(1431655764));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(5)) == INT64_C(858993458));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(-1)) == INT64_C(-4294967295));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(0), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(1), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(3), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(3), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(5), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(5), UINT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(5), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483646), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483647), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483648), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483649), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(2147483650), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967294), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT32_C(4294967295), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-4)) == INT64_C(2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(-2)) == INT64_C(4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(1)) == INT64_C(-9223372036854775807) - INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT32_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(-1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT32_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(-1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT32_C(2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(-1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), INT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(-1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(-1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), INT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(-1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), INT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(-1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967294), INT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(-1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(-1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(-1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), INT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(-1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483647), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(-1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT32_C(-5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT32_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT32_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT32_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-5), INT32_C(-1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(-5), INT32_C(1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(-5), INT32_C(2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-5), INT32_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), INT32_C(4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT32_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4), INT32_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4), INT32_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4), INT32_C(-1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(-4), INT32_C(1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(-4), INT32_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), INT32_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), INT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT32_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-3), INT32_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-3), INT32_C(-1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(-3), INT32_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-3), INT32_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-3), INT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT32_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2), INT32_C(-1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-2), INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2), INT32_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT32_C(-1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-1), INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(0), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(-1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(-1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(1), INT32_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT32_C(-1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2), INT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(2), INT32_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2), INT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT32_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(3), INT32_C(-1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(3), INT32_C(1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(3), INT32_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), INT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), INT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT32_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4), INT32_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4), INT32_C(-1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(4), INT32_C(1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(4), INT32_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4), INT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), INT32_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), INT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT32_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT32_C(-4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(5), INT32_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(5), INT32_C(-2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(5), INT32_C(-1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(5), INT32_C(1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(5), INT32_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(5), INT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT32_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT32_C(5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(-1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483646), INT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(-1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), INT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(-1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(-1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(-1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(-1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(-1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(-1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(-1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(-1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(-1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775806), INT32_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-2147483647) - INT32_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(-1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775807), INT32_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(1)) == INT64_C(-9223372036854775807) - INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), UINT32_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-9223372036854775807), UINT32_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483649)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(4294967294)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), UINT32_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), UINT32_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), UINT32_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), UINT32_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-5), UINT32_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), UINT32_C(4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), UINT32_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), UINT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-3), UINT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), UINT32_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(0), UINT32_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(1), UINT32_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(2), UINT32_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2), UINT32_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(3), UINT32_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), UINT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), UINT32_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(4), UINT32_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4), UINT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), UINT32_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), UINT32_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(5), UINT32_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(5), UINT32_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT32_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT32_C(5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT32_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT32_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT32_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT32_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483649)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT32_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT32_C(4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT32_C(4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-9223372036854775807)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967296)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483648)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-4)) == INT64_C(2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(-2)) == INT64_C(4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(1)) == INT64_C(-9223372036854775807) - INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(4294967298)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(9223372036854775806)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-9223372036854775807) - INT64_C(1), INT64_C(9223372036854775807)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-9223372036854775807)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967296)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(-1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(4294967298)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(9223372036854775806)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-9223372036854775807), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967296)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(-1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483649)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967294)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(4294967298)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-9223372036854775806), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967298)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967297)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483649)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(-1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967296)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967297)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967298), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967297)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(-1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967296)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967297), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(-1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967296), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(-1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967295), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(-1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4294967294), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(-1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483650), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(-1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483649), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(-1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483648), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(-1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483647), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(-1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2147483646), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-5), INT64_C(-5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT64_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-5), INT64_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-5), INT64_C(-1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(-5), INT64_C(1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(-5), INT64_C(2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-5), INT64_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), INT64_C(4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-5), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-5), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-4), INT64_C(-4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-4), INT64_C(-2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-4), INT64_C(-1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(-4), INT64_C(1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(-4), INT64_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), INT64_C(3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-4), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-4), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-3), INT64_C(-3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-3), INT64_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-3), INT64_C(-1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(-3), INT64_C(1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(-3), INT64_C(2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-3), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-3), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-2), INT64_C(-2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-2), INT64_C(-1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(-2), INT64_C(1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(-2), INT64_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-2), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(-1), INT64_C(-1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(-1), INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(-1), INT64_C(9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(0), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(-1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(1)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(0), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(-1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(1), INT64_C(1)) == INT64_C(1));
static_assert(tools::floor(INT64_C(1), INT64_C(2)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(1), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-2)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2), INT64_C(-1)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2), INT64_C(1)) == INT64_C(2));
static_assert(tools::floor(INT64_C(2), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2), INT64_C(3)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-3)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(3), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(3), INT64_C(-1)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(3), INT64_C(1)) == INT64_C(3));
static_assert(tools::floor(INT64_C(3), INT64_C(2)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(3), INT64_C(4)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(3), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-4)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4), INT64_C(-2)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4), INT64_C(-1)) == INT64_C(-4));
static_assert(tools::floor(INT64_C(4), INT64_C(1)) == INT64_C(4));
static_assert(tools::floor(INT64_C(4), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4), INT64_C(5)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-5)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(5), INT64_C(-4)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(5), INT64_C(-3)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(5), INT64_C(-2)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(5), INT64_C(-1)) == INT64_C(-5));
static_assert(tools::floor(INT64_C(5), INT64_C(1)) == INT64_C(5));
static_assert(tools::floor(INT64_C(5), INT64_C(2)) == INT64_C(2));
static_assert(tools::floor(INT64_C(5), INT64_C(3)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT64_C(4)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT64_C(5)) == INT64_C(1));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483646)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(5), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2147483646)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-3)) == INT64_C(-715827882));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-2)) == INT64_C(-1073741823));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(-1)) == INT64_C(-2147483646));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(1)) == INT64_C(2147483646));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483647)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483647)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(-1)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(1)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4)) == INT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483648)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483648)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-4)) == INT64_C(-536870912));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-2)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(-1)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(1)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(3)) == INT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483649)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483649)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-3)) == INT64_C(-715827883));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(-1)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(1)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(5)) == INT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(2147483650)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483650)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2147483646)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-5)) == INT64_C(-429496730));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-4)) == INT64_C(-536870913));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-3)) == INT64_C(-715827884));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-2)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(-1)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(1)) == INT64_C(2147483650));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2)) == INT64_C(1073741825));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(3)) == INT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4)) == INT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(5)) == INT64_C(429496730));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483646)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483647)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967294)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4294967294)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483647)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-2)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(-1)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(1)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(3)) == INT64_C(1431655764));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(5)) == INT64_C(858993458));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967295)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967295)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-5)) == INT64_C(-858993459));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-3)) == INT64_C(-1431655765));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(-1)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(1)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4)) == INT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483648)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967296)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967296)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483648)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-4)) == INT64_C(-1073741824));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-2)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(-1)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(1)) == INT64_C(4294967296));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967297)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967297)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967296)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(-1)) == INT64_C(-4294967297));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(1)) == INT64_C(4294967297));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(3)) == INT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483649)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967297)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(4294967298)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967298)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967297)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967296)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967295)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4294967294)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483650)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483649)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483648)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483647)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2147483646)) == INT64_C(-3));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-5)) == INT64_C(-858993460));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-4)) == INT64_C(-1073741825));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-3)) == INT64_C(-1431655766));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-2)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(-1)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(1)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(3)) == INT64_C(1431655766));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4)) == INT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(5)) == INT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483646)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483647)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483648)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483649)) == INT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(2147483650)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967294)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967295)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967296)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967297)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(4294967298)) == INT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(9223372036854775806)) == INT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-9223372036854775806)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967298)) == INT64_C(-2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4294967294)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483649)) == INT64_C(-4294967294));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483647)) == INT64_C(-4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-3)) == INT64_C(-3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-2)) == INT64_C(-4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(-1)) == INT64_C(-9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(1)) == INT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967296)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775806), INT64_C(9223372036854775807)) == INT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-9223372036854775807) - INT64_C(1)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-9223372036854775807)) == INT64_C(-1));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-9223372036854775806)) == INT64_C(-2));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967298)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967297)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967296)) == INT64_C(-2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967295)) == INT64_C(-2147483649));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4294967294)) == INT64_C(-2147483650));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483650)) == INT64_C(-4294967293));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483649)) == INT64_C(-4294967295));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483648)) == INT64_C(-4294967296));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483647)) == INT64_C(-4294967299));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2147483646)) == INT64_C(-4294967301));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-5)) == INT64_C(-1844674407370955162));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-4)) == INT64_C(-2305843009213693952));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-3)) == INT64_C(-3074457345618258603));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-2)) == INT64_C(-4611686018427387904));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(-1)) == INT64_C(-9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(1)) == INT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2)) == INT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(3)) == INT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4)) == INT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(5)) == INT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483646)) == INT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483647)) == INT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483648)) == INT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483649)) == INT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(2147483650)) == INT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967294)) == INT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967295)) == INT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967296)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967297)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(4294967298)) == INT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(9223372036854775806)) == INT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775807), INT64_C(9223372036854775807)) == INT64_C(1));
static_assert(tools::floor(INT64_C(0), UINT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(0), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(1), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(1), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(2), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(INT64_C(3), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(3), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(3), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(3), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(INT64_C(4), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(INT64_C(5), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(5), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(5), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483646), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483647), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483648), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483649), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(2147483650), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967294), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967295), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967296), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967297), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483649)) == UINT64_C(2));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(4294967298)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(4294967298), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775806), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(INT64_C(9223372036854775807), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-2147483647) - INT32_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(-1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(1), INT32_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(2), INT32_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2), INT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT32_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT64_C(3), INT32_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), INT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), INT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT32_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT64_C(4), INT32_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4), INT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), INT32_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), INT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT32_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT64_C(5), INT32_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(5), INT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT32_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT32_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483646), INT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), INT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(1)) == UINT64_C(9223372036854775808));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(1)) == UINT64_C(9223372036854775809));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(1)) == UINT64_C(9223372036854775810));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(2)) == UINT64_C(4611686018427387905));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(5)) == UINT64_C(1844674407370955162));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(1)) == UINT64_C(18446744073709551614));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(3)) == UINT64_C(6148914691236517204));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(5)) == UINT64_C(3689348814741910322));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT32_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(1)) == UINT64_C(18446744073709551615));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(3)) == UINT64_C(6148914691236517205));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(5)) == UINT64_C(3689348814741910323));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT32_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(0), UINT32_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2), UINT32_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), UINT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), UINT32_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4), UINT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), UINT32_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), UINT32_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(5), UINT32_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT32_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT32_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT32_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT32_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT32_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT32_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483649)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT32_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(1)) == UINT64_C(9223372036854775808));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(1)) == UINT64_C(9223372036854775809));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(1)) == UINT64_C(9223372036854775810));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2)) == UINT64_C(4611686018427387905));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(5)) == UINT64_C(1844674407370955162));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT32_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(1)) == UINT64_C(18446744073709551614));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(3)) == UINT64_C(6148914691236517204));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(5)) == UINT64_C(3689348814741910322));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT32_C(4294967295)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(1)) == UINT64_C(18446744073709551615));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(3)) == UINT64_C(6148914691236517205));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(5)) == UINT64_C(3689348814741910323));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT32_C(4294967295)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(0), INT64_C(-9223372036854775807) - INT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(-1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(1), INT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(2), INT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2), INT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT64_C(3), INT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), INT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), INT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT64_C(4), INT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4), INT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), INT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), INT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT64_C(5), INT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(5), INT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483649)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(4294967298)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775806), INT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775807), INT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(1)) == UINT64_C(9223372036854775808));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), INT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(1)) == UINT64_C(9223372036854775809));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), INT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(1)) == UINT64_C(9223372036854775810));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2)) == UINT64_C(4611686018427387905));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(5)) == UINT64_C(1844674407370955162));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), INT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(1)) == UINT64_C(18446744073709551614));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(3)) == UINT64_C(6148914691236517204));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(5)) == UINT64_C(3689348814741910322));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967295)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967296)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967297)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(4294967298)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(9223372036854775806)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551614), INT64_C(9223372036854775807)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(1)) == UINT64_C(18446744073709551615));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(3)) == UINT64_C(6148914691236517205));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(5)) == UINT64_C(3689348814741910323));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967295)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967296)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967297)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(4294967298)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(9223372036854775806)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551615), INT64_C(9223372036854775807)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(0), UINT64_C(1)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(0), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(1)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(1), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(1)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2), UINT64_C(3)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(1)) == UINT64_C(3));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(3), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(1)) == UINT64_C(4));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4), UINT64_C(5)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(1)) == UINT64_C(5));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(5), UINT64_C(3)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT64_C(5)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483646)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(5), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(1)) == UINT64_C(2147483646));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483647)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483646), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(1)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4)) == UINT64_C(536870911));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483648)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483647), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(1)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(3)) == UINT64_C(715827882));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483649)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483648), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(1)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(5)) == UINT64_C(429496729));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(2147483650)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483649), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(1)) == UINT64_C(2147483650));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2)) == UINT64_C(1073741825));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(3)) == UINT64_C(715827883));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4)) == UINT64_C(536870912));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(5)) == UINT64_C(429496730));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483646)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483647)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967294)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(2147483650), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(1)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(3)) == UINT64_C(1431655764));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(5)) == UINT64_C(858993458));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967295)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967294), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(1)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4)) == UINT64_C(1073741823));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483648)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967296)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967295), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(1)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967297)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967296), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(1)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(3)) == UINT64_C(1431655765));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483649)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(4294967298)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967297), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(1)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(3)) == UINT64_C(1431655766));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4)) == UINT64_C(1073741824));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(5)) == UINT64_C(858993459));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483646)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483647)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483648)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483649)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(2147483650)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967294)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967295)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967296)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967297)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(4294967298)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775806)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(4294967298), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(1)) == UINT64_C(9223372036854775806));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775807)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775806), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(1)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4)) == UINT64_C(2305843009213693951));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483648)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967296)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775808)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775807), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(1)) == UINT64_C(9223372036854775808));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(3)) == UINT64_C(3074457345618258602));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775809)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775808), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(1)) == UINT64_C(9223372036854775809));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2)) == UINT64_C(4611686018427387904));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(5)) == UINT64_C(1844674407370955161));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775809)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(9223372036854775810)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775809), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(1)) == UINT64_C(9223372036854775810));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2)) == UINT64_C(4611686018427387905));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(3)) == UINT64_C(3074457345618258603));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4)) == UINT64_C(2305843009213693952));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(5)) == UINT64_C(1844674407370955162));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483646)) == UINT64_C(4294967300));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483647)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483648)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483649)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(2147483650)) == UINT64_C(4294967292));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967294)) == UINT64_C(2147483649));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967295)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967296)) == UINT64_C(2147483648));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967297)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(4294967298)) == UINT64_C(2147483647));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775806)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775807)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775809)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(9223372036854775810)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(18446744073709551614)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(9223372036854775810), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(1)) == UINT64_C(18446744073709551614));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(3)) == UINT64_C(6148914691236517204));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(5)) == UINT64_C(3689348814741910322));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967295)) == UINT64_C(4294967296));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967296)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967297)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(4294967298)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775806)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775807)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775809)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(9223372036854775810)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(18446744073709551614)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551614), UINT64_C(18446744073709551615)) == UINT64_C(0));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(1)) == UINT64_C(18446744073709551615));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2)) == UINT64_C(9223372036854775807));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(3)) == UINT64_C(6148914691236517205));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4)) == UINT64_C(4611686018427387903));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(5)) == UINT64_C(3689348814741910323));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483646)) == UINT64_C(8589934600));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483647)) == UINT64_C(8589934596));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483648)) == UINT64_C(8589934591));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483649)) == UINT64_C(8589934588));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(2147483650)) == UINT64_C(8589934584));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967294)) == UINT64_C(4294967298));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967295)) == UINT64_C(4294967297));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967296)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967297)) == UINT64_C(4294967295));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(4294967298)) == UINT64_C(4294967294));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775806)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775807)) == UINT64_C(2));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775808)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775809)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(9223372036854775810)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(18446744073709551614)) == UINT64_C(1));
static_assert(tools::floor(UINT64_C(18446744073709551615), UINT64_C(18446744073709551615)) == UINT64_C(1));
return 0;
}