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///////////////////////////////////////////////////////////////
// Copyright 2012 John Maddock. 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
//
// This ensures all our code gets tested, even though it may
// not be the fastest configuration in normal use:
//
#define BOOST_MP_USE_LIMB_SHIFT
#include <boost/multiprecision/gmp.hpp>
#include <boost/multiprecision/cpp_int.hpp>
#include <boost/random/mersenne_twister.hpp>
#include <boost/random/uniform_int.hpp>
#include "timer.hpp"
#include "test.hpp"
#ifdef _MSC_VER
#pragma warning(disable : 4127) // Conditional expression is constant
#endif
#ifndef TEST
#define TEST 0
#endif
template <class T>
T generate_random(unsigned bits_wanted)
{
static boost::random::mt19937 gen;
typedef boost::random::mt19937::result_type random_type;
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) > (gen.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 *= (gen.max)();
val += gen();
}
val %= max_val;
return val;
}
template <class T>
struct is_checked_cpp_int : public std::integral_constant<bool, false>
{};
template <std::size_t MinBits, std::size_t MaxBits, boost::multiprecision::cpp_integer_type SignType, class Allocator, boost::multiprecision::expression_template_option ET>
struct is_checked_cpp_int<boost::multiprecision::number<boost::multiprecision::cpp_int_backend<MinBits, MaxBits, SignType, boost::multiprecision::checked, Allocator>, ET> > : public std::integral_constant<bool, true>
{};
template <class N>
typename std::enable_if<boost::multiprecision::backends::is_fixed_precision<typename N::backend_type>::value && !is_checked_cpp_int<N>::value>::type test(const N&)
{
using namespace boost::multiprecision;
static unsigned last_error_count = 0;
timer tim;
do
{
// Test modular arithmetic by filling all the bits of our test type:
mpz_int f = generate_random<mpz_int>(std::numeric_limits<N>::digits + 2);
mpz_int g = generate_random<mpz_int>(std::numeric_limits<N>::digits + 2);
mpz_int mask(1);
mask <<= std::numeric_limits<N>::digits;
--mask;
f &= mask;
g &= mask;
mpz_int r = (f * g) & mask;
N f1(f);
N g1(g);
N r1 = f1 * g1;
BOOST_CHECK_EQUAL(r1.str(), r.str());
if (last_error_count != (unsigned)boost::detail::test_errors())
{
// LCOV_EXCL_START
last_error_count = boost::detail::test_errors();
std::cout << std::hex << std::showbase;
std::cout << f1 << std::endl;
std::cout << f << std::endl;
std::cout << g1 << std::endl;
std::cout << g << std::endl;
std::cout << r1 << std::endl;
std::cout << r << std::endl;
// LCOV_EXCL_STOP
}
static boost::random::mt19937 gen;
boost::random::uniform_int_distribution<> d(12, std::numeric_limits<N>::digits);
f = generate_random<mpz_int>(d(gen));
g = generate_random<mpz_int>(d(gen));
r = (f * g) & mask;
f1 = N(f);
g1 = N(g);
r1 = f1 * g1;
BOOST_CHECK_EQUAL(r1.str(), r.str());
if (last_error_count != (unsigned)boost::detail::test_errors())
{
// LCOV_EXCL_START
last_error_count = boost::detail::test_errors();
std::cout << std::hex << std::showbase;
std::cout << f1 << std::endl;
std::cout << f << std::endl;
std::cout << g1 << std::endl;
std::cout << g << std::endl;
std::cout << r1 << std::endl;
std::cout << r << std::endl;
// LCOV_EXCL_STOP
}
#ifndef CI_SUPPRESS_KNOWN_ISSUES
if (tim.elapsed() > 200)
#else
if (tim.elapsed() > 25)
#endif
{
std::cout << "Timeout reached, aborting tests now....\n";
break;
}
} while (true);
//
// Special cases:
//
mpz_int mask;
if (std::numeric_limits<N>::is_bounded)
mask = mpz_int((std::numeric_limits<N>::max)());
mpz_int a, b;
N x, y;
unsigned upper_limit = std::numeric_limits<N>::is_bounded ? std::numeric_limits<N>::digits - 1 : 8192 * 2;
for (unsigned i = 1024; i < upper_limit; i *= 2)
{
a = 1;
a <<= i;
--a;
x = 1;
x <<= i;
--x;
b = a * a;
if (std::numeric_limits<N>::is_bounded)
b &= mask;
y = x * x;
BOOST_CHECK_EQUAL(y.str(), b.str());
if (last_error_count != (unsigned)boost::detail::test_errors())
{
// LCOV_EXCL_START
last_error_count = boost::detail::test_errors();
std::cout << std::hex << std::showbase;
std::cout << a << std::endl;
std::cout << x << std::endl;
std::cout << b << std::endl;
std::cout << y << std::endl;
// LCOV_EXCL_STOP
}
}
}
template <class N>
typename std::enable_if<!(boost::multiprecision::backends::is_fixed_precision<typename N::backend_type>::value && !is_checked_cpp_int<N>::value)>::type test(const N&)
{
using namespace boost::multiprecision;
static unsigned last_error_count = 0;
timer tim;
mpz_int mask;
if (std::numeric_limits<N>::is_bounded)
mask = mpz_int((std::numeric_limits<N>::max)());
do
{
// Test modular arithmetic by filling all the bits of our test type:
static boost::random::mt19937 gen;
boost::random::uniform_int_distribution<> d(12, std::numeric_limits<N>::is_bounded ? std::numeric_limits<N>::digits : 100000);
mpz_int f = generate_random<mpz_int>(d(gen));
mpz_int g = generate_random<mpz_int>(d(gen));
mpz_int r = f * g;
if (std::numeric_limits<N>::is_bounded)
r &= mask;
N f1(f);
N g1(g);
N r1 = f1 * g1;
BOOST_CHECK_EQUAL(r1.str(), r.str());
if (last_error_count != (unsigned)boost::detail::test_errors())
{
// LCOV_EXCL_START
last_error_count = boost::detail::test_errors();
std::cout << std::hex << std::showbase;
std::cout << f1 << std::endl;
std::cout << f << std::endl;
std::cout << g1 << std::endl;
std::cout << g << std::endl;
std::cout << r1 << std::endl;
std::cout << r << std::endl;
// LCOV_EXCL_STOP
}
#ifndef CI_SUPPRESS_KNOWN_ISSUES
if (tim.elapsed() > 200)
#else
if (tim.elapsed() > 25)
#endif
{
std::cout << "Timeout reached, aborting tests now....\n";
break;
}
} while (true);
//
// Special cases:
//
mpz_int a, b;
N x, y;
unsigned upper_limit = std::numeric_limits<N>::is_bounded ? std::numeric_limits<N>::digits - 1 : 8192 * 2;
for (unsigned i = 1024; i < upper_limit; i *= 2)
{
a = 1;
a <<= i;
--a;
x = 1;
x <<= i;
--x;
b = a * a;
if (std::numeric_limits<N>::is_bounded)
b &= mask;
y = x * x;
BOOST_CHECK_EQUAL(y.str(), b.str());
if (last_error_count != (unsigned)boost::detail::test_errors())
{
// LCOV_EXCL_START
last_error_count = boost::detail::test_errors();
std::cout << std::hex << std::showbase;
std::cout << a << std::endl;
std::cout << x << std::endl;
std::cout << b << std::endl;
std::cout << y << std::endl;
// LCOV_EXCL_STOP
}
}
}
int main()
{
using namespace boost::multiprecision;
#if (TEST == 1) || (TEST == 0)
test(cpp_int());
#endif
#if (TEST == 2) || (TEST == 0)
test(number<cpp_int_backend<8192, 8192, signed_magnitude, unchecked, void> >());
#endif
#if (TEST == 3) || (TEST == 0)
test(number<cpp_int_backend<8192, 8192, signed_magnitude, unchecked, std::allocator<char> > >());
#endif
#if (TEST == 4) || (TEST == 0)
test(number<cpp_int_backend<8192, 8192, unsigned_magnitude, unchecked> >());
#endif
return boost::report_errors();
}
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