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test_cpp_rational.cpp
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///////////////////////////////////////////////////////////////
// Copyright 2021 John Maddock.
// Copyright 2022 Christopher Kormanyos.
// Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
//
// Compare arithmetic results using fixed_int to GMP results.
//
#ifdef _MSC_VER
#define _SCL_SECURE_NO_WARNINGS
#endif
#include <random>
#include <boost/multiprecision/gmp.hpp>
#include <boost/multiprecision/cpp_int.hpp>
#include "timer.hpp"
#include "test.hpp"
#ifdef _MSC_VER
#pragma warning(disable : 4127) // Conditional expression is constant
#endif
#if !defined(TEST1) && !defined(TEST2) && !defined(TEST3) && !defined(TEST4) && !defined(TEST5) && !defined(TEST6)
#define TEST1
#define TEST2
#define TEST3
#define TEST4
#define TEST5
#define TEST6
#endif
namespace local_random
{
using generator_type = std::mt19937;
using random_type = typename generator_type::result_type;
generator_type& my_generator()
{
static generator_type generator_instance;
return generator_instance;
}
template <class T>
T generate_random(unsigned bits_wanted)
{
T max_val;
unsigned digits;
if (std::numeric_limits<T>::is_bounded && (bits_wanted == (unsigned)std::numeric_limits<T>::digits))
{
max_val = (std::numeric_limits<T>::max)();
digits = std::numeric_limits<T>::digits;
}
else
{
max_val = T(1) << bits_wanted;
digits = bits_wanted;
}
unsigned bits_per_r_val = std::numeric_limits<random_type>::digits - 1;
while ((random_type(1) << bits_per_r_val) > (my_generator().max)())
--bits_per_r_val;
unsigned terms_needed = digits / bits_per_r_val + 1;
T val = 0;
for (unsigned i = 0; i < terms_needed; ++i)
{
val *= (my_generator().max)();
val += my_generator()();
}
val %= max_val;
return val;
}
}
template <class Number>
struct tester
{
using test_type = Number;
using checked = typename test_type::backend_type::checked_type;
using timer_type = boost::multiprecision::test_detail::timer_template<int, std::chrono::high_resolution_clock>;
unsigned last_error_count;
timer_type tim;
boost::multiprecision::mpz_int a, b, c, d;
int si;
unsigned ui;
boost::multiprecision::double_limb_type large_ui;
test_type a1, b1, c1, d1;
static constexpr int double_limb_type_digit_counter()
{
return static_cast<int>(sizeof(boost::multiprecision::double_limb_type)) * 8;
}
void t1()
{
//
// Arithmetic, non-mixed:
//
boost::multiprecision::mpq_rational x(a, b), y(c, d), z;
boost::multiprecision::cpp_rational x1(a1, b1), y1(c1, d1), z1;
BOOST_CHECK_EQUAL(x.str(), x1.str());
BOOST_CHECK_EQUAL(y.str(), y1.str());
// positive x, y:
z = x + y;
z1 = x1 + y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - y;
z1 = x1 - y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * y;
z1 = x1 * y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / y;
z1 = x1 / y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// negative y:
y = -y;
y1 = -y1;
BOOST_CHECK(y < 0);
z = x + y;
z1 = x1 + y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - y;
z1 = x1 - y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * y;
z1 = x1 * y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / y;
z1 = x1 / y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// negative x:
x.swap(y);
x1.swap(y1);
BOOST_CHECK(x < 0);
z = x + y;
z1 = x1 + y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - y;
z1 = x1 - y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * y;
z1 = x1 * y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / y;
z1 = x1 / y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// negative x, y:
y = -y;
y1 = -y1;
BOOST_CHECK(x < 0);
BOOST_CHECK(y < 0);
z = x + y;
z1 = x1 + y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - y;
z1 = x1 - y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * y;
z1 = x1 * y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / y;
z1 = x1 / y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// Inplace, negative x, y:
BOOST_CHECK(x < 0);
BOOST_CHECK(y < 0);
z = x;
z += y;
z1 = x1;
z1 += y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z -= y;
z1 = x1;
z1 -= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z *= y;
z1 = x1;
z1 *= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z *= z;
z1 = x1;
z1 *= z1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z /= y;
z1 = x1;
z1 /= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// Inplace, negative x:
y = -y;
y1 = -y1;
BOOST_CHECK(x < 0);
z = x;
z += y;
z1 = x1;
z1 += y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z -= y;
z1 = x1;
z1 -= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z *= y;
z1 = x1;
z1 *= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z *= z;
z1 = x1;
z1 *= z1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z /= y;
z1 = x1;
z1 /= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// Inplace, negative y:
x.swap(y);
x1.swap(y1);
BOOST_CHECK(y < 0);
z = x;
z += y;
z1 = x1;
z1 += y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z -= y;
z1 = x1;
z1 -= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z *= y;
z1 = x1;
z1 *= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z *= z;
z1 = x1;
z1 *= z1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z /= y;
z1 = x1;
z1 /= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// Inplace, positive x, y:
y = -y;
y1 = -y1;
BOOST_CHECK(x > 0);
BOOST_CHECK(y > 0);
z = x;
z += y;
z1 = x1;
z1 += y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z -= y;
z1 = x1;
z1 -= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z *= y;
z1 = x1;
z1 *= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z *= z;
z1 = x1;
z1 *= z1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z /= y;
z1 = x1;
z1 /= y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
BOOST_CHECK_EQUAL((x == y), (x1 == y1));
BOOST_CHECK_EQUAL((x != y), (x1 != y1));
BOOST_CHECK_EQUAL((x <= y), (x1 <= y1));
BOOST_CHECK_EQUAL((x >= y), (x1 >= y1));
BOOST_CHECK_EQUAL((x < y), (x1 < y1));
BOOST_CHECK_EQUAL((x > y), (x1 > y1));
z = x;
z1 = x1;
BOOST_CHECK_EQUAL((x == z), (x1 == z1));
BOOST_CHECK_EQUAL((x != z), (x1 != z1));
BOOST_CHECK_EQUAL((x <= z), (x1 <= z1));
BOOST_CHECK_EQUAL((x >= z), (x1 >= z1));
BOOST_CHECK_EQUAL((x < z), (x1 < z1));
BOOST_CHECK_EQUAL((x > z), (x1 > z1));
}
void t2()
{
//
// Mixed with signed integer:
//
boost::multiprecision::mpq_rational x(a, b), y(c, d), z;
boost::multiprecision::cpp_rational x1(a1, b1), y1(c1, d1), z1;
BOOST_CHECK_EQUAL(x.str(), x1.str());
BOOST_CHECK_EQUAL(y.str(), y1.str());
// Both positive:
z = x + si;
z1 = x1 + si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - si;
z1 = x1 - si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * si;
z1 = x1 * si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / si;
z1 = x1 / si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si + x;
z1 = si + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si - x;
z1 = si - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si * x;
z1 = si * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si / x;
z1 = si / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// x negative:
x = -x;
x1 = -x1;
z = x + si;
z1 = x1 + si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - si;
z1 = x1 - si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * si;
z1 = x1 * si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / si;
z1 = x1 / si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si + x;
z1 = si + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si - x;
z1 = si - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si * x;
z1 = si * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si / x;
z1 = si / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// x and si both negative:
z = x + si;
z1 = x1 + si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - si;
z1 = x1 - si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * si;
z1 = x1 * si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / si;
z1 = x1 / si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si + x;
z1 = si + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si - x;
z1 = si - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si * x;
z1 = si * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si / x;
z1 = si / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// si negative:
x = -x;
x1 = -x1;
z = x + si;
z1 = x1 + si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - si;
z1 = x1 - si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * si;
z1 = x1 * si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / si;
z1 = x1 / si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si + x;
z1 = si + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si - x;
z1 = si - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si * x;
z1 = si * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si / x;
z1 = si / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
si = -si;
// Inplace:
z = x;
z1 = x1;
z += si;
z1 += si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z -= si;
z1 -= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z *= si;
z1 *= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z /= si;
z1 /= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// si negative:
si = -si;
z = x;
z1 = x1;
z += si;
z1 += si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z -= si;
z1 -= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z *= si;
z1 *= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z /= si;
z1 /= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// Both negative:
x = -x;
x1 = -x1;
z = x;
z1 = x1;
z += si;
z1 += si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z -= si;
z1 -= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z *= si;
z1 *= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z /= si;
z1 /= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// x negative:
si = -si;
z = x;
z1 = x1;
z += si;
z1 += si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z -= si;
z1 -= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z *= si;
z1 *= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z /= si;
z1 /= si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
BOOST_CHECK_EQUAL((x == si), (x1 == si));
BOOST_CHECK_EQUAL((x != si), (x1 != si));
BOOST_CHECK_EQUAL((x <= si), (x1 <= si));
BOOST_CHECK_EQUAL((x >= si), (x1 >= si));
BOOST_CHECK_EQUAL((x < si), (x1 < si));
BOOST_CHECK_EQUAL((x > si), (x1 > si));
z = si;
z1 = si;
BOOST_CHECK_EQUAL((x == si), (x1 == si));
BOOST_CHECK_EQUAL((x != si), (x1 != si));
BOOST_CHECK_EQUAL((x <= si), (x1 <= si));
BOOST_CHECK_EQUAL((x >= si), (x1 >= si));
BOOST_CHECK_EQUAL((x < si), (x1 < si));
BOOST_CHECK_EQUAL((x > si), (x1 > si));
}
void t3()
{
//
// Mixed with unsigned integer:
//
boost::multiprecision::mpq_rational x(a, b), y(c, d), z;
boost::multiprecision::cpp_rational x1(a1, b1), y1(c1, d1), z1;
BOOST_CHECK_EQUAL(x.str(), x1.str());
BOOST_CHECK_EQUAL(y.str(), y1.str());
// Both positive:
z = x + ui;
z1 = x1 + ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - ui;
z1 = x1 - ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * ui;
z1 = x1 * ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / ui;
z1 = x1 / ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = ui + x;
z1 = ui + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = ui - x;
z1 = ui - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = ui * x;
z1 = ui * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = ui / x;
z1 = ui / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// x negative:
x = -x;
x1 = -x1;
z = x + ui;
z1 = x1 + ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - ui;
z1 = x1 - ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * ui;
z1 = x1 * ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / ui;
z1 = x1 / ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = ui + x;
z1 = ui + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = ui - x;
z1 = ui - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = ui * x;
z1 = ui * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = ui / x;
z1 = ui / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
x = -x;
x1 = -x1;
// Inplace:
z = x;
z1 = x1;
z += ui;
z1 += ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z -= ui;
z1 -= ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z *= ui;
z1 *= ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z /= ui;
z1 /= ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// x negative:
x = -x;
x1 = -x1;
z = x;
z1 = x1;
z += ui;
z1 += ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z -= ui;
z1 -= ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z *= ui;
z1 *= ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z /= ui;
z1 /= ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
x = -x;
x1 = -x1;
BOOST_CHECK_EQUAL((x == ui), (x1 == ui));
BOOST_CHECK_EQUAL((x != ui), (x1 != ui));
BOOST_CHECK_EQUAL((x <= ui), (x1 <= ui));
BOOST_CHECK_EQUAL((x >= ui), (x1 >= ui));
BOOST_CHECK_EQUAL((x < ui), (x1 < ui));
BOOST_CHECK_EQUAL((x > ui), (x1 > ui));
z = ui;
z1 = ui;
BOOST_CHECK_EQUAL((x == ui), (x1 == ui));
BOOST_CHECK_EQUAL((x != ui), (x1 != ui));
BOOST_CHECK_EQUAL((x <= ui), (x1 <= ui));
BOOST_CHECK_EQUAL((x >= ui), (x1 >= ui));
BOOST_CHECK_EQUAL((x < ui), (x1 < ui));
BOOST_CHECK_EQUAL((x > ui), (x1 > ui));
}
void t4()
{
//
// Mixed with unsigned long integer:
//
boost::multiprecision::mpq_rational x(a, b), y(c, d), z;
boost::multiprecision::cpp_rational x1(a1, b1), y1(c1, d1), z1;
BOOST_CHECK_EQUAL(x.str(), x1.str());
BOOST_CHECK_EQUAL(y.str(), y1.str());
// Both positive:
z = x + large_ui;
z1 = x1 + large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - large_ui;
z1 = x1 - large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * large_ui;
z1 = x1 * large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / large_ui;
z1 = x1 / large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = large_ui + x;
z1 = large_ui + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = large_ui - x;
z1 = large_ui - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = large_ui * x;
z1 = large_ui * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = large_ui / x;
z1 = large_ui / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// x negative:
x = -x;
x1 = -x1;
z = x + large_ui;
z1 = x1 + large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - large_ui;
z1 = x1 - large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * large_ui;
z1 = x1 * large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / large_ui;
z1 = x1 / large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = large_ui + x;
z1 = large_ui + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = large_ui - x;
z1 = large_ui - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = large_ui * x;
z1 = large_ui * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = large_ui / x;
z1 = large_ui / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
x = -x;
x1 = -x1;
// Inplace:
z = x;
z1 = x1;
z += large_ui;
z1 += large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z -= large_ui;
z1 -= large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z *= large_ui;
z1 *= large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z /= large_ui;
z1 /= large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// x negative:
x = -x;
x1 = -x1;
z = x;
z1 = x1;
z += large_ui;
z1 += large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z -= large_ui;
z1 -= large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z *= large_ui;
z1 *= large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x;
z1 = x1;
z /= large_ui;
z1 /= large_ui;
BOOST_CHECK_EQUAL(z.str(), z1.str());
x = -x;
x1 = -x1;
BOOST_CHECK_EQUAL((x == large_ui), (x1 == large_ui));
BOOST_CHECK_EQUAL((x != large_ui), (x1 != large_ui));
BOOST_CHECK_EQUAL((x <= large_ui), (x1 <= large_ui));
BOOST_CHECK_EQUAL((x >= large_ui), (x1 >= large_ui));
BOOST_CHECK_EQUAL((x < large_ui), (x1 < large_ui));
BOOST_CHECK_EQUAL((x > large_ui), (x1 > large_ui));
z = large_ui;
z1 = large_ui;
BOOST_CHECK_EQUAL((x == large_ui), (x1 == large_ui));
BOOST_CHECK_EQUAL((x != large_ui), (x1 != large_ui));
BOOST_CHECK_EQUAL((x <= large_ui), (x1 <= large_ui));
BOOST_CHECK_EQUAL((x >= large_ui), (x1 >= large_ui));
BOOST_CHECK_EQUAL((x < large_ui), (x1 < large_ui));
BOOST_CHECK_EQUAL((x > large_ui), (x1 > large_ui));
}
void t5()
{
//
// Special cases:
//
boost::multiprecision::mpq_rational x(a, b), y(c, d), z;
boost::multiprecision::cpp_rational x1(a1, b1), y1(c1, d1), z1;
BOOST_CHECK_EQUAL(x.str(), x1.str());
BOOST_CHECK_EQUAL(y.str(), y1.str());
BOOST_CHECK_EQUAL(x1 * 0, 0);
BOOST_CHECK_EQUAL(x1 * 1, x1);
BOOST_CHECK_EQUAL(x1 * -1, -x1);
z = x * y;
z1 = x1;
x1 = x1 * y1;
BOOST_CHECK_EQUAL(z.str(), x1.str());
x1 = z1;
x1 = y1 * x1;
BOOST_CHECK_EQUAL(z.str(), x1.str());
x1 = z1;
z = x * si;
x1 = x1 * si;
BOOST_CHECK_EQUAL(z.str(), x1.str());
x1 = z1;
x1 = si * x1;
BOOST_CHECK_EQUAL(z.str(), x1.str());
x1 = z1;
z1 = x1;
z1 *= 0;
BOOST_CHECK_EQUAL(z1, 0);
z1 = x1;
z1 *= 1;
BOOST_CHECK_EQUAL(z1, x1);
z1 = x1;
z1 *= -1;
BOOST_CHECK_EQUAL(z1, -x1);
z1 = x1 / x1;
BOOST_CHECK_EQUAL(z1, 1);
z1 = x1 / -x1;
BOOST_CHECK_EQUAL(z1, -1);
z = x / y;
z1 = x1;
z1 = z1 / y1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z1 = y1;
z1 = x1 / z1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / si;
z1 = x1;
z1 = z1 / si;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = si / x;
z1 = x1;
z1 = si / z1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
BOOST_CHECK_THROW(z1 = x1 / 0, std::overflow_error);
z1= x1;
BOOST_CHECK_THROW(z1 /= 0, std::overflow_error);
z1 = x1;
z1 /= 1;
BOOST_CHECK_EQUAL(z1, x1);
z1 /= -1;
BOOST_CHECK_EQUAL(z1, -x1);
z1 = x1 / 1;
BOOST_CHECK_EQUAL(z1, x1);
z1 = x1 / -1;
BOOST_CHECK_EQUAL(z1, -x1);
z1 = 0;
BOOST_CHECK_EQUAL(z1 * si, 0);
BOOST_CHECK_EQUAL(z1 / si, 0);
BOOST_CHECK_EQUAL(z1 + si, si);
BOOST_CHECK_EQUAL(z1 - si, -si);
z1 *= si;
BOOST_CHECK_EQUAL(z1, 0);
z1 /= si;
BOOST_CHECK_EQUAL(z1, 0);
z1 += si;
BOOST_CHECK_EQUAL(z1, si);
z1 = 0;
z1 -= si;
BOOST_CHECK_EQUAL(z1, -si);
z1 = si;
z1 /= si;
BOOST_CHECK_EQUAL(z1, 1);
z1 = si;
z1 /= -si;
BOOST_CHECK_EQUAL(z1, -1);
z1 = -si;
z1 /= si;
BOOST_CHECK_EQUAL(z1, -1);
z1 = -si;
z1 /= -si;
BOOST_CHECK_EQUAL(z1, 1);
x1 = si;
z1 = si / x1;
BOOST_CHECK_EQUAL(z1, 1);
x1 = si;
z1 = x1 / si;
BOOST_CHECK_EQUAL(z1, 1);
x1 = -si;
z1 = si / x1;
BOOST_CHECK_EQUAL(z1, -1);
x1 = -si;
z1 = x1 / si;
BOOST_CHECK_EQUAL(z1, -1);
x1 = -si;
z1 = -si / x1;
BOOST_CHECK_EQUAL(z1, 1);
x1 = -si;
z1 = x1 / -si;
BOOST_CHECK_EQUAL(z1, 1);
x1 = si;
z1 = -si / x1;
BOOST_CHECK_EQUAL(z1, -1);
x1 = si;
z1 = x1 / -si;
BOOST_CHECK_EQUAL(z1, -1);
}
void t6()
{
//
// Mixed with signed integer:
//
boost::multiprecision::mpq_rational x(a, b), y(c, d), z;
boost::multiprecision::cpp_rational x1(a1, b1), y1(c1, d1), z1;
boost::multiprecision::mpz_int bi = local_random::generate_random<boost::multiprecision::mpz_int>(1000);
boost::multiprecision::cpp_int bi1(bi.str());
BOOST_CHECK_EQUAL(x.str(), x1.str());
BOOST_CHECK_EQUAL(y.str(), y1.str());
BOOST_CHECK_EQUAL(bi.str(), bi1.str());
// Both positive:
z = x + bi;
z1 = x1 + bi1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - bi;
z1 = x1 - bi1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * bi;
z1 = x1 * bi1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / bi;
z1 = x1 / bi1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = bi + x;
z1 = bi1 + x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = bi - x;
z1 = bi1 - x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = bi * x;
z1 = bi1 * x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = bi / x;
z1 = bi1 / x1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
// x negative:
x = -x;
x1 = -x1;
z = x + bi;
z1 = x1 + bi1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x - bi;
z1 = x1 - bi1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x * bi;
z1 = x1 * bi1;
BOOST_CHECK_EQUAL(z.str(), z1.str());
z = x / bi;
z1 = x1 / bi1;
BOOST_CHECK_EQUAL(z.str(), z1.str());