| /* test_const_mod.cpp |
| * |
| * Copyright Steven Watanabe 2011 |
| * Distributed under the Boost Software License, Version 1.0. (See |
| * accompanying file LICENSE_1_0.txt or copy at |
| * http://www.boost.org/LICENSE_1_0.txt) |
| * |
| * $Id$ |
| * |
| */ |
| |
| #include <boost/random/detail/const_mod.hpp> |
| |
| #include <boost/cstdint.hpp> |
| #include <boost/mpl/vector.hpp> |
| |
| #define BOOST_TEST_MAIN |
| #include <boost/test/unit_test.hpp> |
| |
| typedef boost::mpl::vector< |
| boost::int8_t, |
| boost::uint8_t |
| > int8_types; |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_mult8, IntType, int8_types) { |
| for(int i = 0; i < 127; ++i) { |
| for(int j = 0; j < 127; ++j) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 127>::mult(IntType(i), IntType(j))), i * j % 127); |
| } |
| } |
| int modulus = (std::numeric_limits<IntType>::max)() + 1; |
| for(int i = 0; i < modulus; ++i) { |
| for(int j = 0; j < modulus; ++j) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 0>::mult(IntType(i), IntType(j))), i * j % modulus); |
| } |
| } |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_add8, IntType, int8_types) { |
| for(int i = 0; i < 127; ++i) { |
| for(int j = 0; j < 127; ++j) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 127>::add(IntType(i), IntType(j))), (i + j) % 127); |
| } |
| } |
| { |
| const int modulus = boost::integer_traits<IntType>::const_max; |
| for(int i = 0; i < modulus; ++i) { |
| for(int j = 0; j < modulus; ++j) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, modulus>::add(IntType(i), IntType(j))), (i + j) % modulus); |
| } |
| } |
| } |
| { |
| int modulus = (std::numeric_limits<IntType>::max)() + 1; |
| for(int i = 0; i < modulus; ++i) { |
| for(int j = 0; j < modulus; ++j) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 0>::add(IntType(i), IntType(j))), (i + j) % modulus); |
| } |
| } |
| } |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_mult_add8, IntType, int8_types) { |
| for(int i = 0; i < 127; i += 5) { |
| for(int j = 0; j < 127; j += 3) { |
| for(int k = 0; k < 127; k += 3) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 127>::mult_add(IntType(i), IntType(j), IntType(k))), (i * j + k) % 127); |
| } |
| } |
| } |
| { |
| int modulus = (std::numeric_limits<IntType>::max)() + 1; |
| for(int i = 0; i < modulus; i += 5) { |
| for(int j = 0; j < modulus; j += 3) { |
| for(int k = 0; k < modulus; k += 3) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 0>::mult_add(IntType(i), IntType(j), IntType(k))), (i * j + k) % modulus); |
| } |
| } |
| } |
| } |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_invert8, IntType, int8_types) { |
| for(int i = 1; i < 127; ++i) { |
| IntType inverse = boost::random::const_mod<IntType, 127>::invert(IntType(i)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 127>::mult(IntType(i), inverse)), 1); |
| } |
| int modulus = (std::numeric_limits<IntType>::max)() + 1; |
| for(int i = 1; i < modulus; i += 2) { |
| IntType inverse = boost::random::const_mod<IntType, 0>::invert(IntType(i)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 0>::mult(IntType(i), inverse)), 1); |
| } |
| } |
| |
| typedef boost::mpl::vector< |
| boost::int32_t, |
| boost::uint32_t |
| > int32_types; |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_mult32, IntType, int32_types) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult(0, 0)), IntType(0)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult(0, 2147483562)), IntType(0)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult(2147483562, 0)), IntType(0)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult(2147483562, 2147483562)), IntType(1)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult(1234567890, 1234657890)), IntType(813106682)); |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_add32, IntType, int32_types) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::add(0, 0)), IntType(0)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::add(0, 2147483562)), IntType(2147483562)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::add(2147483562, 0)), IntType(2147483562)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::add(2147483562, 2147483562)), IntType(2147483561)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::add(1234567890, 1234657890)), IntType(321742217)); |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_mult_add32, IntType, int32_types) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult_add(0, 0, 0)), IntType(0)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult_add(0, 2147483562, 827364)), IntType(827364)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult_add(2147483562, 0, 827364)), IntType(827364)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult_add(2147483562, 2147483562, 2147483562)), IntType(0)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult_add(1234567890, 1234657890, 1726384759)), IntType(392007878)); |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_invert32, IntType, int32_types) { |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::invert(0)), IntType(0)); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult_add(0, 0, 0)), IntType(0)); |
| IntType inverse; |
| inverse = boost::random::const_mod<IntType, 2147483563>::invert(2147483562); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult(2147483562, inverse)), IntType(1)); |
| inverse = boost::random::const_mod<IntType, 2147483563>::invert(1234567890); |
| BOOST_CHECK_EQUAL((boost::random::const_mod<IntType, 2147483563>::mult(1234567890, inverse)), IntType(1)); |
| } |
| |
| #if !defined(BOOST_NO_INT64_T) |
| |
| typedef boost::mpl::vector< |
| boost::int64_t, |
| boost::uint64_t |
| > int64_types; |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_mult64, IntType, int64_types) { |
| typedef boost::random::const_mod<IntType, INT64_C(2147483563652738498)> const_mod_type; |
| BOOST_CHECK_EQUAL((const_mod_type::mult(0, 0)), IntType(0)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult(0, 2147483562)), IntType(0)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult(2147483562, 0)), IntType(0)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult(2147483562, 2147483562)), IntType(INT64_C(316718521754730848))); |
| BOOST_CHECK_EQUAL((const_mod_type::mult(1234567890, 1234657890)), IntType(INT64_C(1524268986129152100))); |
| BOOST_CHECK_EQUAL((const_mod_type::mult(INT64_C(1234567890726352938), INT64_C(1234657890736453927))), IntType(INT64_C(88656187017794672))); |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_add64, IntType, int64_types) { |
| typedef boost::random::const_mod<IntType, INT64_C(2147483563652738498)> const_mod_type; |
| BOOST_CHECK_EQUAL((const_mod_type::add(0, 0)), IntType(0)); |
| BOOST_CHECK_EQUAL((const_mod_type::add(0, 2147483562)), IntType(2147483562)); |
| BOOST_CHECK_EQUAL((const_mod_type::add(2147483562, 0)), IntType(2147483562)); |
| BOOST_CHECK_EQUAL((const_mod_type::add(2147483562, 2147483562)), IntType(4294967124U)); |
| BOOST_CHECK_EQUAL((const_mod_type::add(1234567890, 1234657890)), IntType(2469225780U)); |
| BOOST_CHECK_EQUAL((const_mod_type::add(INT64_C(1234567890726352938), INT64_C(1234657890736453927))), IntType(INT64_C(321742217810068367))); |
| BOOST_CHECK_EQUAL((const_mod_type::add(INT64_C(2147483563652738490), 8)), IntType(0)); |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_mult_add64, IntType, int64_types) { |
| typedef boost::random::const_mod<IntType, INT64_C(2147483563652738498)> const_mod_type; |
| BOOST_CHECK_EQUAL((const_mod_type::mult_add(0, 0, 0)), IntType(0)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult_add(0, 2147483562, 827364)), IntType(827364)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult_add(2147483562, 0, 827364)), IntType(827364)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult_add(2147483562, 2147483562, 2147483562)), IntType(INT64_C(316718523902214410))); |
| BOOST_CHECK_EQUAL((const_mod_type::mult_add(1234567890, 1234657890, 1726384759)), IntType(INT64_C(1524268987855536859))); |
| BOOST_CHECK_EQUAL((const_mod_type::mult_add(INT64_C(1234567890726352938), INT64_C(1234657890736453927), INT64_C(1726384759726488649))), IntType(INT64_C(1815040946744283321))); |
| } |
| |
| BOOST_AUTO_TEST_CASE_TEMPLATE(test_invert64, IntType, int64_types) { |
| typedef boost::random::const_mod<IntType, INT64_C(2147483563652738498)> const_mod_type; |
| BOOST_CHECK_EQUAL((const_mod_type::invert(0)), IntType(0)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult_add(0, 0, 0)), IntType(0)); |
| IntType inverse; |
| inverse = const_mod_type::invert(INT64_C(7362947769)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult(INT64_C(7362947769), inverse)), IntType(1)); |
| inverse = const_mod_type::invert(INT64_C(1263142436887493875)); |
| BOOST_CHECK_EQUAL((const_mod_type::mult(INT64_C(1263142436887493875), inverse)), IntType(1)); |
| } |
| |
| #endif |