198 lines
7.0 KiB
C++
198 lines
7.0 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/cpp_int.hpp>
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#include "test.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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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 == (unsigned)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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template <class Number>
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void test_signed_overflow(Number a, Number b, const std::integral_constant<bool, true>&)
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{
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a = -a;
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BOOST_CHECK_THROW(Number(a * b), std::overflow_error);
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++a;
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BOOST_CHECK(Number(a * b) >= (std::numeric_limits<Number>::min)());
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}
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template <class Number>
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void test_signed_overflow(Number, Number, const std::integral_constant<bool, false>&)
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{
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}
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template <class Number>
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void test()
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{
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using namespace boost::multiprecision;
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typedef Number test_type;
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if (std::numeric_limits<test_type>::is_bounded)
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{
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test_type val = (std::numeric_limits<test_type>::max)();
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#ifndef BOOST_NO_EXCEPTIONS
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BOOST_CHECK_THROW(++val, std::overflow_error);
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val = (std::numeric_limits<test_type>::max)();
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BOOST_CHECK_THROW(test_type(1 + val), std::overflow_error);
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BOOST_CHECK_THROW(test_type(val + 1), std::overflow_error);
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BOOST_CHECK_THROW(test_type(2 * val), std::overflow_error);
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val /= 2;
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val += 1;
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BOOST_CHECK_THROW(test_type(2 * val), std::overflow_error);
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if (std::numeric_limits<test_type>::is_signed)
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{
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val = (std::numeric_limits<test_type>::min)();
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BOOST_CHECK_THROW(--val, std::overflow_error);
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val = (std::numeric_limits<test_type>::min)();
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BOOST_CHECK_THROW(test_type(val - 1), std::overflow_error);
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BOOST_CHECK_THROW(test_type(2 * val), std::overflow_error);
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val /= 2;
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val -= 1;
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BOOST_CHECK_THROW(test_type(2 * val), std::overflow_error);
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}
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else
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{
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val = (std::numeric_limits<test_type>::min)();
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BOOST_CHECK_THROW(--val, std::range_error);
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val = (std::numeric_limits<test_type>::min)();
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BOOST_CHECK_THROW(test_type(val - 1), std::range_error);
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}
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#endif
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//
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// Test overflow in random values:
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//
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for (unsigned bits = 30; bits < std::numeric_limits<test_type>::digits; bits += 30)
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{
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for (unsigned i = 0; i < 100; ++i)
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{
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val = static_cast<test_type>(generate_random<cpp_int>(bits));
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test_type val2 = 1 + (std::numeric_limits<test_type>::max)() / val;
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BOOST_CHECK_THROW(test_type(val2 * val), std::overflow_error);
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test_signed_overflow(val2, val, std::integral_constant<bool, std::numeric_limits<test_type>::is_signed>());
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--val2;
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BOOST_CHECK(cpp_int(val2) * cpp_int(val) <= cpp_int((std::numeric_limits<test_type>::max)()));
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BOOST_CHECK(val2 * val <= (std::numeric_limits<test_type>::max)());
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val2 = (std::numeric_limits<test_type>::max)() - val;
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++val2;
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BOOST_CHECK_THROW(test_type(val2 + val), std::overflow_error);
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BOOST_CHECK((val2 - 1) + val == (std::numeric_limits<test_type>::max)());
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if (std::numeric_limits<test_type>::is_signed)
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{
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val2 = (std::numeric_limits<test_type>::min)() + val;
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--val2;
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BOOST_CHECK_THROW(test_type(val2 - val), std::overflow_error);
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++val2;
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BOOST_CHECK(val2 - val == (std::numeric_limits<test_type>::min)());
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}
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unsigned shift = std::numeric_limits<test_type>::digits - msb(val);
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BOOST_CHECK_THROW((val << shift) > 0, std::overflow_error);
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}
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}
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}
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#ifndef BOOST_NO_EXCEPTIONS
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if (std::numeric_limits<test_type>::is_signed)
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{
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test_type a = -1;
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test_type b = 1;
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BOOST_CHECK_THROW(test_type(a | b), std::range_error);
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BOOST_CHECK_THROW(test_type(a & b), std::range_error);
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BOOST_CHECK_THROW(test_type(a ^ b), std::range_error);
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}
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else
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{
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// Constructing from a negative value is not allowed:
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BOOST_CHECK_THROW(test_type(-2), std::range_error);
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BOOST_CHECK_THROW(test_type("-2"), std::range_error);
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}
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if (std::numeric_limits<test_type>::digits < std::numeric_limits<long long>::digits)
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{
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long long llm = (std::numeric_limits<long long>::max)();
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test_type t;
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BOOST_CHECK_THROW(t = llm, std::range_error);
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BOOST_CHECK_THROW(t = static_cast<test_type>(llm), std::range_error);
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unsigned long long ullm = (std::numeric_limits<unsigned long long>::max)();
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BOOST_CHECK_THROW(t = ullm, std::range_error);
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BOOST_CHECK_THROW(t = static_cast<test_type>(ullm), std::range_error);
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static const checked_uint512_t big = (std::numeric_limits<checked_uint512_t>::max)();
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BOOST_CHECK_THROW(t = static_cast<test_type>(big), std::range_error);
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}
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//
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// String errors:
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//
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BOOST_CHECK_THROW(test_type("12A"), std::runtime_error);
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BOOST_CHECK_THROW(test_type("0658"), std::runtime_error);
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if (std::numeric_limits<test_type>::is_signed)
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{
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BOOST_CHECK_THROW(test_type(-2).str(0, std::ios_base::hex), std::runtime_error);
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BOOST_CHECK_THROW(test_type(-2).str(0, std::ios_base::oct), std::runtime_error);
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}
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#endif
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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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test<number<cpp_int_backend<0, 0, signed_magnitude, checked> > >();
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test<checked_int512_t>();
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test<checked_uint512_t>();
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test<number<cpp_int_backend<32, 32, signed_magnitude, checked, void> > >();
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test<number<cpp_int_backend<32, 32, unsigned_magnitude, checked, void> > >();
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//
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// We also need to test type with "odd" bit counts in order to ensure full code coverage:
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//
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test<number<cpp_int_backend<528, 528, signed_magnitude, checked, void> > >();
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test<number<cpp_int_backend<528, 528, unsigned_magnitude, checked, void> > >();
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test<number<cpp_int_backend<48, 48, signed_magnitude, checked, void> > >();
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test<number<cpp_int_backend<48, 48, unsigned_magnitude, checked, void> > >();
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return boost::report_errors();
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}
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