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/* boost random/detail/large_arithmetic.hpp header file * * 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) * * See http://www.boost.org for most recent version including documentation. * * $Id$ */ #ifndef BOOST_RANDOM_DETAIL_LARGE_ARITHMETIC_HPP #define BOOST_RANDOM_DETAIL_LARGE_ARITHMETIC_HPP #include #include #include #include #include namespace boost { namespace random { namespace detail { struct div_t { boost::uintmax_t quotient; boost::uintmax_t remainder; }; inline div_t muldivmod(boost::uintmax_t a, boost::uintmax_t b, boost::uintmax_t m) { const int bits = ::std::numeric_limits< ::boost::uintmax_t>::digits / 2; const ::boost::uintmax_t mask = (::boost::uintmax_t(1) << bits) - 1; typedef ::boost::uint_t::fast digit_t; int shift = std::numeric_limits< ::boost::uintmax_t>::digits - 1 - detail::integer_log2(m); a <<= shift; m <<= shift; digit_t product[4] = { 0, 0, 0, 0 }; digit_t a_[2] = { digit_t(a & mask), digit_t((a >> bits) & mask) }; digit_t b_[2] = { digit_t(b & mask), digit_t((b >> bits) & mask) }; digit_t m_[2] = { digit_t(m & mask), digit_t((m >> bits) & mask) }; // multiply a * b for(int i = 0; i < 2; ++i) { digit_t carry = 0; for(int j = 0; j < 2; ++j) { ::boost::uint64_t temp = ::boost::uintmax_t(a_[i]) * b_[j] + carry + product[i + j]; product[i + j] = digit_t(temp & mask); carry = digit_t(temp >> bits); } if(carry != 0) { product[i + 2] += carry; } } digit_t quotient[2]; if(m == 0) { div_t result = { ((::boost::uintmax_t(product[3]) << bits) | product[2]), ((::boost::uintmax_t(product[1]) << bits) | product[0]) >> shift, }; return result; } // divide product / m for(int i = 3; i >= 2; --i) { ::boost::uintmax_t temp = ::boost::uintmax_t(product[i]) << bits | product[i - 1]; digit_t q = digit_t((product[i] == m_[1]) ? mask : temp / m_[1]); ::boost::uintmax_t rem = ((temp - ::boost::uintmax_t(q) * m_[1]) << bits) + product[i - 2]; ::boost::uintmax_t diff = m_[0] * ::boost::uintmax_t(q); int error = 0; if(diff > rem) { if(diff - rem > m) { error = 2; } else { error = 1; } } q -= error; rem = rem + error * m - diff; quotient[i - 2] = q; product[i] = 0; product[i-1] = static_cast((rem >> bits) & mask); product[i-2] = static_cast(rem & mask); } div_t result = { ((::boost::uintmax_t(quotient[1]) << bits) | quotient[0]), ((::boost::uintmax_t(product[1]) << bits) | product[0]) >> shift, }; return result; } inline boost::uintmax_t muldiv(boost::uintmax_t a, boost::uintmax_t b, boost::uintmax_t m) { return detail::muldivmod(a, b, m).quotient; } inline boost::uintmax_t mulmod(boost::uintmax_t a, boost::uintmax_t b, boost::uintmax_t m) { return detail::muldivmod(a, b, m).remainder; } } // namespace detail } // namespace random } // namespace boost #include #endif // BOOST_RANDOM_DETAIL_LARGE_ARITHMETIC_HPP