164 lines
7.5 KiB
C++
164 lines
7.5 KiB
C++
///////////////////////////////////////////////////////////////
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// Copyright 2012 John Maddock. Distributed under the Boost
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// Software License, Version 1.0. (See accompanying file
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// LICENSE_1_0.txt or copy at https://www.boost.org/LICENSE_1_0.txt
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//
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// Compare arithmetic results using fixed_int to GMP results.
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//
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#ifdef _MSC_VER
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#define _SCL_SECURE_NO_WARNINGS
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#endif
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#include <boost/multiprecision/gmp.hpp>
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#include <boost/multiprecision/fixed_int.hpp>
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#include <boost/random/mersenne_twister.hpp>
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#include <boost/random/uniform_int.hpp>
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#include "test.hpp"
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template <class T>
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T generate_random(unsigned bits_wanted)
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{
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static boost::random::mt19937 gen;
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typedef boost::random::mt19937::result_type random_type;
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T max_val;
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unsigned digits;
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if (std::numeric_limits<T>::is_bounded && (bits_wanted == std::numeric_limits<T>::digits))
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{
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max_val = (std::numeric_limits<T>::max)();
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digits = std::numeric_limits<T>::digits;
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}
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else
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{
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max_val = T(1) << bits_wanted;
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digits = bits_wanted;
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}
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unsigned bits_per_r_val = std::numeric_limits<random_type>::digits - 1;
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while ((random_type(1) << bits_per_r_val) > (gen.max)())
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--bits_per_r_val;
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unsigned terms_needed = digits / bits_per_r_val + 1;
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T val = 0;
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for (unsigned i = 0; i < terms_needed; ++i)
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{
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val *= (gen.max)();
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val += gen();
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}
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val %= max_val;
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return val;
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}
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int main()
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{
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using namespace boost::multiprecision;
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typedef number<fixed_int<1024, true> > packed_type;
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unsigned last_error_count = 0;
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for (int i = 0; i < 1000; ++i)
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{
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mpz_int a = generate_random<mpz_int>(1000);
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mpz_int b = generate_random<mpz_int>(512);
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mpz_int c = generate_random<mpz_int>(256);
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mpz_int d = generate_random<mpz_int>(32);
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int si = d.convert_to<int>();
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packed_type a1 = a.str();
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packed_type b1 = b.str();
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packed_type c1 = c.str();
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packed_type d1 = d.str();
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BOOST_CHECK_EQUAL(a.str(), a1.str());
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BOOST_CHECK_EQUAL(b.str(), b1.str());
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BOOST_CHECK_EQUAL(c.str(), c1.str());
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BOOST_CHECK_EQUAL(d.str(), d1.str());
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BOOST_CHECK_EQUAL(mpz_int(a + b).str(), packed_type(a1 + b1).str());
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BOOST_CHECK_EQUAL(mpz_int(a - b).str(), packed_type(a1 - b1).str());
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BOOST_CHECK_EQUAL(mpz_int(mpz_int(-a) + b).str(), packed_type(packed_type(-a1) + b1).str());
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BOOST_CHECK_EQUAL(mpz_int(mpz_int(-a) - b).str(), packed_type(packed_type(-a1) - b1).str());
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BOOST_CHECK_EQUAL(mpz_int(c * d).str(), packed_type(c1 * d1).str());
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BOOST_CHECK_EQUAL(mpz_int(c * -d).str(), packed_type(c1 * -d1).str());
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BOOST_CHECK_EQUAL(mpz_int(-c * d).str(), packed_type(-c1 * d1).str());
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BOOST_CHECK_EQUAL(mpz_int(b * c).str(), packed_type(b1 * c1).str());
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BOOST_CHECK_EQUAL(mpz_int(a / b).str(), packed_type(a1 / b1).str());
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BOOST_CHECK_EQUAL(mpz_int(a / -b).str(), packed_type(a1 / -b1).str());
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BOOST_CHECK_EQUAL(mpz_int(-a / b).str(), packed_type(-a1 / b1).str());
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BOOST_CHECK_EQUAL(mpz_int(a / d).str(), packed_type(a1 / d1).str());
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BOOST_CHECK_EQUAL(mpz_int(a % b).str(), packed_type(a1 % b1).str());
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BOOST_CHECK_EQUAL(mpz_int(a % -b).str(), packed_type(a1 % -b1).str());
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BOOST_CHECK_EQUAL(mpz_int(-a % b).str(), packed_type(-a1 % b1).str());
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BOOST_CHECK_EQUAL(mpz_int(a % d).str(), packed_type(a1 % d1).str());
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// bitwise ops:
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BOOST_CHECK_EQUAL(mpz_int(a | b).str(), packed_type(a1 | b1).str());
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BOOST_CHECK_EQUAL(mpz_int(a & b).str(), packed_type(a1 & b1).str());
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BOOST_CHECK_EQUAL(mpz_int(a ^ b).str(), packed_type(a1 ^ b1).str());
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// Now check operations involving integers:
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BOOST_CHECK_EQUAL(mpz_int(a + si).str(), packed_type(a1 + si).str());
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BOOST_CHECK_EQUAL(mpz_int(a + -si).str(), packed_type(a1 + -si).str());
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BOOST_CHECK_EQUAL(mpz_int(-a + si).str(), packed_type(-a1 + si).str());
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BOOST_CHECK_EQUAL(mpz_int(si + a).str(), packed_type(si + a1).str());
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BOOST_CHECK_EQUAL(mpz_int(a - si).str(), packed_type(a1 - si).str());
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BOOST_CHECK_EQUAL(mpz_int(a - -si).str(), packed_type(a1 - -si).str());
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BOOST_CHECK_EQUAL(mpz_int(-a - si).str(), packed_type(-a1 - si).str());
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BOOST_CHECK_EQUAL(mpz_int(si - a).str(), packed_type(si - a1).str());
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BOOST_CHECK_EQUAL(mpz_int(b * si).str(), packed_type(b1 * si).str());
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BOOST_CHECK_EQUAL(mpz_int(b * -si).str(), packed_type(b1 * -si).str());
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BOOST_CHECK_EQUAL(mpz_int(-b * si).str(), packed_type(-b1 * si).str());
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BOOST_CHECK_EQUAL(mpz_int(si * b).str(), packed_type(si * b1).str());
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BOOST_CHECK_EQUAL(mpz_int(a / si).str(), packed_type(a1 / si).str());
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BOOST_CHECK_EQUAL(mpz_int(a / -si).str(), packed_type(a1 / -si).str());
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BOOST_CHECK_EQUAL(mpz_int(-a / si).str(), packed_type(-a1 / si).str());
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BOOST_CHECK_EQUAL(mpz_int(a % si).str(), packed_type(a1 % si).str());
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BOOST_CHECK_EQUAL(mpz_int(a % -si).str(), packed_type(a1 % -si).str());
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BOOST_CHECK_EQUAL(mpz_int(-a % si).str(), packed_type(-a1 % si).str());
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BOOST_CHECK_EQUAL(mpz_int(a | si).str(), packed_type(a1 | si).str());
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BOOST_CHECK_EQUAL(mpz_int(a & si).str(), packed_type(a1 & si).str());
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BOOST_CHECK_EQUAL(mpz_int(a ^ si).str(), packed_type(a1 ^ si).str());
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BOOST_CHECK_EQUAL(mpz_int(si | a).str(), packed_type(si | a1).str());
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BOOST_CHECK_EQUAL(mpz_int(si & a).str(), packed_type(si & a1).str());
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BOOST_CHECK_EQUAL(mpz_int(si ^ a).str(), packed_type(si ^ a1).str());
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BOOST_CHECK_EQUAL(mpz_int(gcd(a, b)).str(), packed_type(gcd(a1, b1)).str());
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BOOST_CHECK_EQUAL(mpz_int(lcm(c, d)).str(), packed_type(lcm(c1, d1)).str());
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if (last_error_count != boost::detail::test_errors())
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{
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last_error_count = boost::detail::test_errors();
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std::cout << std::hex << std::showbase;
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std::cout << "a = " << a << std::endl;
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std::cout << "a1 = " << a1 << std::endl;
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std::cout << "b = " << b << std::endl;
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std::cout << "b1 = " << b1 << std::endl;
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std::cout << "c = " << c << std::endl;
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std::cout << "c1 = " << c1 << std::endl;
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std::cout << "d = " << d << std::endl;
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std::cout << "d1 = " << d1 << std::endl;
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std::cout << "a + b = " << a + b << std::endl;
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std::cout << "a1 + b1 = " << a1 + b1 << std::endl;
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std::cout << std::dec;
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std::cout << "a - b = " << a - b << std::endl;
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std::cout << "a1 - b1 = " << a1 - b1 << std::endl;
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std::cout << "-a + b = " << mpz_int(-a) + b << std::endl;
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std::cout << "-a1 + b1 = " << packed_type(-a1) + b1 << std::endl;
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std::cout << "-a - b = " << mpz_int(-a) - b << std::endl;
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std::cout << "-a1 - b1 = " << packed_type(-a1) - b1 << std::endl;
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std::cout << "c*d = " << c * d << std::endl;
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std::cout << "c1*d1 = " << c1 * d1 << std::endl;
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std::cout << "b*c = " << b * c << std::endl;
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std::cout << "b1*c1 = " << b1 * c1 << std::endl;
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std::cout << "a/b = " << a / b << std::endl;
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std::cout << "a1/b1 = " << a1 / b1 << std::endl;
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std::cout << "a/d = " << a / d << std::endl;
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std::cout << "a1/d1 = " << a1 / d1 << std::endl;
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std::cout << "a%b = " << a % b << std::endl;
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std::cout << "a1%b1 = " << a1 % b1 << std::endl;
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std::cout << "a%d = " << a % d << std::endl;
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std::cout << "a1%d1 = " << a1 % d1 << std::endl;
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}
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}
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return boost::report_errors();
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}
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