890 lines
42 KiB
C++
890 lines
42 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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// Comparison operators for cpp_int_backend:
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//
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#ifndef BOOST_MP_CPP_INT_BITWISE_HPP
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#define BOOST_MP_CPP_INT_BITWISE_HPP
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#include <stdexcept>
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#include <type_traits>
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#include <boost/multiprecision/detail/endian.hpp>
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#include <boost/multiprecision/detail/no_exceptions_support.hpp>
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#include <boost/multiprecision/detail/assert.hpp>
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#ifdef BOOST_MSVC
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#pragma warning(push)
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#pragma warning(disable : 4319)
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#endif
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namespace boost { namespace multiprecision { namespace backends {
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
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BOOST_MP_CXX14_CONSTEXPR void is_valid_bitwise_op(
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cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
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const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o, const std::integral_constant<int, checked>&)
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{
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if (result.sign() || o.sign())
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BOOST_MP_THROW_EXCEPTION(std::range_error("Bitwise operations on negative values results in undefined behavior."));
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}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
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BOOST_MP_CXX14_CONSTEXPR void is_valid_bitwise_op(
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cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>&,
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const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>&, const std::integral_constant<int, unchecked>&) {}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_int_check_type Checked1, class Allocator1>
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BOOST_MP_CXX14_CONSTEXPR void is_valid_bitwise_op(
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const cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>& result, const std::integral_constant<int, checked>&)
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{
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if (result.sign())
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BOOST_MP_THROW_EXCEPTION(std::range_error("Bitwise operations on negative values results in undefined behavior."));
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}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_int_check_type Checked1, class Allocator1>
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BOOST_MP_CXX14_CONSTEXPR void is_valid_bitwise_op(
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const cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>&, const std::integral_constant<int, checked>&) {}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1>
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BOOST_MP_CXX14_CONSTEXPR void is_valid_bitwise_op(
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cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>&, const std::integral_constant<int, unchecked>&) {}
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template <class CppInt1, class CppInt2, class Op>
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BOOST_MP_CXX14_CONSTEXPR void bitwise_op(
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CppInt1& result,
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const CppInt2& o,
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Op op, const std::integral_constant<bool, true>&) noexcept((is_non_throwing_cpp_int<CppInt1>::value))
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{
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//
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// There are 4 cases:
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// * Both positive.
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// * result negative, o positive.
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// * o negative, result positive.
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// * Both negative.
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//
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// When one arg is negative we convert to 2's complement form "on the fly",
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// and then convert back to signed-magnitude form at the end.
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//
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// Note however, that if the type is checked, then bitwise ops on negative values
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// are not permitted and an exception will result.
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//
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is_valid_bitwise_op(result, o, typename CppInt1::checked_type());
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//
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// First figure out how big the result needs to be and set up some data:
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//
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std::size_t rs = result.size();
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std::size_t os = o.size();
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std::size_t m(0), x(0);
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minmax(rs, os, m, x);
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result.resize(x, x);
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typename CppInt1::limb_pointer pr = result.limbs();
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typename CppInt2::const_limb_pointer po = o.limbs();
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for (std::size_t i = rs; i < x; ++i)
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pr[i] = 0;
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limb_type next_limb = 0;
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if (!result.sign())
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{
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if (!o.sign())
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{
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for (std::size_t i = 0; i < os; ++i)
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pr[i] = op(pr[i], po[i]);
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for (std::size_t i = os; i < x; ++i)
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pr[i] = op(pr[i], limb_type(0));
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}
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else
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{
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// "o" is negative:
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double_limb_type carry = 1;
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for (std::size_t i = 0; i < os; ++i)
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{
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carry += static_cast<double_limb_type>(~po[i]);
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pr[i] = op(pr[i], static_cast<limb_type>(carry));
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carry >>= CppInt1::limb_bits;
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}
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for (std::size_t i = os; i < x; ++i)
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{
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carry += static_cast<double_limb_type>(~limb_type(0));
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pr[i] = op(pr[i], static_cast<limb_type>(carry));
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carry >>= CppInt1::limb_bits;
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}
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// Set the overflow into the "extra" limb:
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carry += static_cast<double_limb_type>(~limb_type(0));
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next_limb = op(limb_type(0), static_cast<limb_type>(carry));
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}
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}
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else
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{
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if (!o.sign())
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{
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// "result" is negative:
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double_limb_type carry = 1;
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for (std::size_t i = 0; i < os; ++i)
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{
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carry += static_cast<double_limb_type>(~pr[i]);
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pr[i] = op(static_cast<limb_type>(carry), po[i]);
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carry >>= CppInt1::limb_bits;
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}
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for (std::size_t i = os; i < x; ++i)
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{
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carry += static_cast<double_limb_type>(~pr[i]);
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pr[i] = op(static_cast<limb_type>(carry), limb_type(0));
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carry >>= CppInt1::limb_bits;
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}
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// Set the overflow into the "extra" limb:
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carry += static_cast<double_limb_type>(~limb_type(0));
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next_limb = op(static_cast<limb_type>(carry), limb_type(0));
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}
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else
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{
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// both are negative:
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double_limb_type r_carry = 1;
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double_limb_type o_carry = 1;
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for (std::size_t i = 0; i < os; ++i)
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{
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r_carry += static_cast<double_limb_type>(~pr[i]);
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o_carry += static_cast<double_limb_type>(~po[i]);
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pr[i] = op(static_cast<limb_type>(r_carry), static_cast<limb_type>(o_carry));
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r_carry >>= CppInt1::limb_bits;
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o_carry >>= CppInt1::limb_bits;
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}
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for (std::size_t i = os; i < x; ++i)
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{
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r_carry += static_cast<double_limb_type>(~pr[i]);
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o_carry += static_cast<double_limb_type>(~limb_type(0));
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pr[i] = op(static_cast<limb_type>(r_carry), static_cast<limb_type>(o_carry));
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r_carry >>= CppInt1::limb_bits;
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o_carry >>= CppInt1::limb_bits;
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}
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// Set the overflow into the "extra" limb:
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r_carry += static_cast<double_limb_type>(~limb_type(0));
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o_carry += static_cast<double_limb_type>(~limb_type(0));
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next_limb = op(static_cast<limb_type>(r_carry), static_cast<limb_type>(o_carry));
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}
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}
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//
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// See if the result is negative or not:
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//
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if (static_cast<signed_limb_type>(next_limb) < 0)
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{
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double_limb_type carry = 1;
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for (std::size_t i = 0; i < x; ++i)
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{
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carry += static_cast<double_limb_type>(~pr[i]);
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pr[i] = static_cast<limb_type>(carry);
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carry >>= CppInt1::limb_bits;
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}
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if (carry)
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{
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result.resize(x + 1, x);
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if (result.size() > x)
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result.limbs()[x] = static_cast<limb_type>(carry);
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}
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result.sign(true);
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}
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else
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result.sign(false);
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result.normalize();
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}
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template <class CppInt1, class CppInt2, class Op>
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BOOST_MP_CXX14_CONSTEXPR void bitwise_op(
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CppInt1& result,
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const CppInt2& o,
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Op op, const std::integral_constant<bool, false>&) noexcept((is_non_throwing_cpp_int<CppInt1>::value))
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{
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//
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// Both arguments are unsigned types, very simple case handled as a special case.
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//
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// First figure out how big the result needs to be and set up some data:
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//
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std::size_t rs = result.size();
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std::size_t os = o.size();
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std::size_t m(0), x(0);
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minmax(rs, os, m, x);
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result.resize(x, x);
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typename CppInt1::limb_pointer pr = result.limbs();
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typename CppInt2::const_limb_pointer po = o.limbs();
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for (std::size_t i = rs; i < x; ++i)
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pr[i] = 0;
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for (std::size_t i = 0; i < os; ++i)
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pr[i] = op(pr[i], po[i]);
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for (std::size_t i = os; i < x; ++i)
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pr[i] = op(pr[i], limb_type(0));
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result.normalize();
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}
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struct bit_and
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{
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BOOST_MP_CXX14_CONSTEXPR limb_type operator()(limb_type a, limb_type b) const noexcept { return a & b; }
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};
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struct bit_or
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{
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BOOST_MP_CXX14_CONSTEXPR limb_type operator()(limb_type a, limb_type b) const noexcept { return a | b; }
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};
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struct bit_xor
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{
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BOOST_MP_CXX14_CONSTEXPR limb_type operator()(limb_type a, limb_type b) const noexcept { return a ^ b; }
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};
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
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BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && !is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>::type
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eval_bitwise_and(
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cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
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const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
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{
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bitwise_op(result, o, bit_and(),
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std::integral_constant<bool, std::numeric_limits<number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> > >::is_signed || std::numeric_limits<number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> > >::is_signed > ());
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}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
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BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && !is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>::type
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eval_bitwise_or(
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cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
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const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
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{
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bitwise_op(result, o, bit_or(),
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std::integral_constant<bool, std::numeric_limits<number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> > >::is_signed || std::numeric_limits<number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> > >::is_signed > ());
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}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
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BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && !is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>::type
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eval_bitwise_xor(
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cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
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const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
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{
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bitwise_op(result, o, bit_xor(),
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std::integral_constant<bool, std::numeric_limits<number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> > >::is_signed || std::numeric_limits<number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> > >::is_signed > ());
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}
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//
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// Again for operands which are single limbs:
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//
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_int_check_type Checked1, class Allocator1>
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BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1> >::value>::type
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eval_bitwise_and(
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cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>& result,
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limb_type l) noexcept
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{
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result.limbs()[0] &= l;
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result.resize(1, 1);
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}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_int_check_type Checked1, class Allocator1>
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BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1> >::value>::type
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eval_bitwise_or(
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cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>& result,
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limb_type l) noexcept
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{
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result.limbs()[0] |= l;
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}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_int_check_type Checked1, class Allocator1>
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BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1> >::value>::type
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eval_bitwise_xor(
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cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>& result,
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limb_type l) noexcept
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{
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result.limbs()[0] ^= l;
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}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
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BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<is_signed_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && !is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && !is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>::type
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eval_complement(
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cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
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const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
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{
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static_assert(((Checked1 != checked) || (Checked2 != checked)), "Attempt to take the complement of a signed type results in undefined behavior.");
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// Increment and negate:
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result = o;
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eval_increment(result);
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result.negate();
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}
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template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1>
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BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<is_unsigned_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && !is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && !is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value>::type
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eval_complement(
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cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
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const cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
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{
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std::size_t os = o.size();
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result.resize(SIZE_MAX, os);
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for (std::size_t i = 0; i < os; ++i)
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result.limbs()[i] = ~o.limbs()[i];
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for (std::size_t i = os; i < result.size(); ++i)
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result.limbs()[i] = ~static_cast<limb_type>(0);
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result.normalize();
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}
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template <class Int>
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inline void left_shift_byte(Int& result, double_limb_type s)
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{
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limb_type offset = static_cast<limb_type>(s / Int::limb_bits);
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limb_type shift = static_cast<limb_type>(s % Int::limb_bits);
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std::size_t ors = result.size();
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if ((ors == 1) && (!*result.limbs()))
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return; // shifting zero yields zero.
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std::size_t rs = ors;
|
|
if (shift && (result.limbs()[ors - 1] >> (Int::limb_bits - shift)))
|
|
++rs; // Most significant limb will overflow when shifted
|
|
rs += offset;
|
|
result.resize(rs, rs);
|
|
rs = result.size();
|
|
|
|
typename Int::limb_pointer pr = result.limbs();
|
|
|
|
if (rs != ors)
|
|
pr[rs - 1] = 0u;
|
|
std::size_t bytes = static_cast<std::size_t>(s / CHAR_BIT);
|
|
std::size_t len = (std::min)(ors * sizeof(limb_type), rs * sizeof(limb_type) - bytes);
|
|
if (bytes >= rs * sizeof(limb_type))
|
|
result = static_cast<limb_type>(0u);
|
|
else
|
|
{
|
|
unsigned char* pc = reinterpret_cast<unsigned char*>(pr);
|
|
std::memmove(pc + bytes, pc, len);
|
|
std::memset(pc, 0, bytes);
|
|
}
|
|
}
|
|
|
|
template <class Int>
|
|
inline BOOST_MP_CXX14_CONSTEXPR void left_shift_limb(Int& result, double_limb_type s)
|
|
{
|
|
limb_type offset = static_cast<limb_type>(s / Int::limb_bits);
|
|
limb_type shift = static_cast<limb_type>(s % Int::limb_bits);
|
|
|
|
std::size_t ors = result.size();
|
|
if ((ors == 1) && (!*result.limbs()))
|
|
return; // shifting zero yields zero.
|
|
std::size_t rs = ors;
|
|
if (shift && (result.limbs()[ors - 1] >> (Int::limb_bits - shift)))
|
|
++rs; // Most significant limb will overflow when shifted
|
|
rs += offset;
|
|
result.resize(rs, rs);
|
|
|
|
typename Int::limb_pointer pr = result.limbs();
|
|
|
|
if (offset > rs)
|
|
{
|
|
// The result is shifted past the end of the result:
|
|
result = static_cast<limb_type>(0);
|
|
return;
|
|
}
|
|
|
|
std::size_t i = rs - result.size();
|
|
for (; i < ors; ++i)
|
|
pr[rs - 1 - i] = pr[ors - 1 - i];
|
|
#ifndef BOOST_MP_NO_CONSTEXPR_DETECTION
|
|
if (BOOST_MP_IS_CONST_EVALUATED(s))
|
|
{
|
|
for (; i < rs; ++i)
|
|
pr[rs - 1 - i] = 0;
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
std::memset(pr, 0, (rs - i) * sizeof(*pr));
|
|
}
|
|
}
|
|
|
|
template <class Int>
|
|
inline BOOST_MP_CXX14_CONSTEXPR void left_shift_generic(Int& result, double_limb_type s)
|
|
{
|
|
limb_type offset = static_cast<limb_type>(s / Int::limb_bits);
|
|
limb_type shift = static_cast<limb_type>(s % Int::limb_bits);
|
|
|
|
std::size_t ors = result.size();
|
|
if ((ors == 1) && (!*result.limbs()))
|
|
return; // shifting zero yields zero.
|
|
std::size_t rs = ors;
|
|
if (shift && (result.limbs()[ors - 1] >> (Int::limb_bits - shift)))
|
|
++rs; // Most significant limb will overflow when shifted
|
|
rs += offset;
|
|
result.resize(rs, rs);
|
|
bool truncated = result.size() != rs;
|
|
|
|
typename Int::limb_pointer pr = result.limbs();
|
|
|
|
if (offset > rs)
|
|
{
|
|
// The result is shifted past the end of the result:
|
|
result = static_cast<limb_type>(0);
|
|
return;
|
|
}
|
|
|
|
std::size_t i = rs - result.size();
|
|
// This code only works when shift is non-zero, otherwise we invoke undefined behaviour!
|
|
BOOST_MP_ASSERT(shift);
|
|
if (!truncated)
|
|
{
|
|
if (rs > ors + offset)
|
|
{
|
|
pr[rs - 1 - i] = pr[ors - 1 - i] >> (Int::limb_bits - shift);
|
|
--rs;
|
|
}
|
|
else
|
|
{
|
|
pr[rs - 1 - i] = pr[ors - 1 - i] << shift;
|
|
if (ors > 1)
|
|
pr[rs - 1 - i] |= pr[ors - 2 - i] >> (Int::limb_bits - shift);
|
|
++i;
|
|
}
|
|
}
|
|
for (; rs - i >= 2 + offset; ++i)
|
|
{
|
|
pr[rs - 1 - i] = pr[rs - 1 - i - offset] << shift;
|
|
pr[rs - 1 - i] |= pr[rs - 2 - i - offset] >> (Int::limb_bits - shift);
|
|
}
|
|
if (rs - i >= 1 + offset)
|
|
{
|
|
pr[rs - 1 - i] = pr[rs - 1 - i - offset] << shift;
|
|
++i;
|
|
}
|
|
#ifndef BOOST_MP_NO_CONSTEXPR_DETECTION
|
|
if (BOOST_MP_IS_CONST_EVALUATED(s))
|
|
{
|
|
for (; i < rs; ++i)
|
|
pr[rs - 1 - i] = 0;
|
|
}
|
|
else
|
|
#endif
|
|
{
|
|
std::memset(pr, 0, (rs - i) * sizeof(*pr));
|
|
}
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value>::type
|
|
eval_left_shift(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
double_limb_type s) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
is_valid_bitwise_op(result, typename cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::checked_type());
|
|
if (!s)
|
|
return;
|
|
|
|
#if BOOST_MP_ENDIAN_LITTLE_BYTE && defined(BOOST_MP_USE_LIMB_SHIFT)
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::limb_bits - 1;
|
|
constexpr limb_type byte_shift_mask = CHAR_BIT - 1;
|
|
|
|
if ((s & limb_shift_mask) == 0)
|
|
{
|
|
left_shift_limb(result, s);
|
|
}
|
|
#ifdef BOOST_MP_NO_CONSTEXPR_DETECTION
|
|
else if ((s & byte_shift_mask) == 0)
|
|
#else
|
|
else if (((s & byte_shift_mask) == 0) && !BOOST_MP_IS_CONST_EVALUATED(s))
|
|
#endif
|
|
{
|
|
left_shift_byte(result, s);
|
|
}
|
|
#elif BOOST_MP_ENDIAN_LITTLE_BYTE
|
|
constexpr limb_type byte_shift_mask = CHAR_BIT - 1;
|
|
|
|
#ifdef BOOST_MP_NO_CONSTEXPR_DETECTION
|
|
if ((s & byte_shift_mask) == 0)
|
|
#else
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::limb_bits - 1;
|
|
if (BOOST_MP_IS_CONST_EVALUATED(s) && ((s & limb_shift_mask) == 0))
|
|
left_shift_limb(result, s);
|
|
else if (((s & byte_shift_mask) == 0) && !BOOST_MP_IS_CONST_EVALUATED(s))
|
|
#endif
|
|
{
|
|
left_shift_byte(result, s);
|
|
}
|
|
#else
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::limb_bits - 1;
|
|
|
|
if ((s & limb_shift_mask) == 0)
|
|
{
|
|
left_shift_limb(result, s);
|
|
}
|
|
#endif
|
|
else
|
|
{
|
|
left_shift_generic(result, s);
|
|
}
|
|
//
|
|
// We may have shifted off the end and have leading zeros:
|
|
//
|
|
result.normalize();
|
|
}
|
|
|
|
template <class Int>
|
|
inline void right_shift_byte(Int& result, double_limb_type s)
|
|
{
|
|
limb_type offset = static_cast<limb_type>(s / Int::limb_bits);
|
|
BOOST_MP_ASSERT((s % CHAR_BIT) == 0);
|
|
std::size_t ors = result.size();
|
|
std::size_t rs = ors;
|
|
if (offset >= rs)
|
|
{
|
|
result = limb_type(0);
|
|
return;
|
|
}
|
|
rs -= offset;
|
|
typename Int::limb_pointer pr = result.limbs();
|
|
unsigned char* pc = reinterpret_cast<unsigned char*>(pr);
|
|
limb_type shift = static_cast<limb_type>(s / CHAR_BIT);
|
|
std::memmove(pc, pc + shift, ors * sizeof(pr[0]) - shift);
|
|
shift = (sizeof(limb_type) - shift % sizeof(limb_type)) * CHAR_BIT;
|
|
if (shift < Int::limb_bits)
|
|
{
|
|
pr[ors - offset - 1] &= (static_cast<limb_type>(1u) << shift) - 1;
|
|
if (!pr[ors - offset - 1] && (rs > 1))
|
|
--rs;
|
|
}
|
|
result.resize(rs, rs);
|
|
}
|
|
|
|
template <class Int>
|
|
inline BOOST_MP_CXX14_CONSTEXPR void right_shift_limb(Int& result, double_limb_type s)
|
|
{
|
|
limb_type offset = static_cast<limb_type>(s / Int::limb_bits);
|
|
BOOST_MP_ASSERT((s % Int::limb_bits) == 0);
|
|
std::size_t ors = result.size();
|
|
std::size_t rs = ors;
|
|
if (offset >= rs)
|
|
{
|
|
result = limb_type(0);
|
|
return;
|
|
}
|
|
rs -= offset;
|
|
typename Int::limb_pointer pr = result.limbs();
|
|
std::size_t i = 0;
|
|
for (; i < rs; ++i)
|
|
pr[i] = pr[i + offset];
|
|
result.resize(rs, rs);
|
|
}
|
|
|
|
template <class Int>
|
|
inline BOOST_MP_CXX14_CONSTEXPR void right_shift_generic(Int& result, double_limb_type s)
|
|
{
|
|
limb_type offset = static_cast<limb_type>(s / Int::limb_bits);
|
|
limb_type shift = static_cast<limb_type>(s % Int::limb_bits);
|
|
std::size_t ors = result.size();
|
|
std::size_t rs = ors;
|
|
if (offset >= rs)
|
|
{
|
|
result = limb_type(0);
|
|
return;
|
|
}
|
|
rs -= offset;
|
|
typename Int::limb_pointer pr = result.limbs();
|
|
if ((pr[ors - 1] >> shift) == 0)
|
|
{
|
|
if (--rs == 0)
|
|
{
|
|
result = limb_type(0);
|
|
return;
|
|
}
|
|
}
|
|
std::size_t i = 0;
|
|
|
|
// This code only works for non-zero shift, otherwise we invoke undefined behaviour!
|
|
BOOST_MP_ASSERT(shift);
|
|
for (; i + offset + 1 < ors; ++i)
|
|
{
|
|
pr[i] = pr[i + offset] >> shift;
|
|
pr[i] |= pr[i + offset + 1] << (Int::limb_bits - shift);
|
|
}
|
|
pr[i] = pr[i + offset] >> shift;
|
|
result.resize(rs, rs);
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_int_check_type Checked1, class Allocator1>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1> >::value>::type
|
|
eval_right_shift(
|
|
cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>& result,
|
|
double_limb_type s) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1> >::value))
|
|
{
|
|
is_valid_bitwise_op(result, typename cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>::checked_type());
|
|
if (!s)
|
|
return;
|
|
|
|
#if BOOST_MP_ENDIAN_LITTLE_BYTE && defined(BOOST_MP_USE_LIMB_SHIFT)
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::limb_bits - 1;
|
|
constexpr limb_type byte_shift_mask = CHAR_BIT - 1;
|
|
|
|
if ((s & limb_shift_mask) == 0)
|
|
right_shift_limb(result, s);
|
|
#ifdef BOOST_MP_NO_CONSTEXPR_DETECTION
|
|
else if ((s & byte_shift_mask) == 0)
|
|
#else
|
|
else if (((s & byte_shift_mask) == 0) && !BOOST_MP_IS_CONST_EVALUATED(s))
|
|
#endif
|
|
right_shift_byte(result, s);
|
|
#elif BOOST_MP_ENDIAN_LITTLE_BYTE
|
|
constexpr limb_type byte_shift_mask = CHAR_BIT - 1;
|
|
|
|
#ifdef BOOST_MP_NO_CONSTEXPR_DETECTION
|
|
if ((s & byte_shift_mask) == 0)
|
|
#else
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::limb_bits - 1;
|
|
if (BOOST_MP_IS_CONST_EVALUATED(s) && ((s & limb_shift_mask) == 0))
|
|
right_shift_limb(result, s);
|
|
else if (((s & byte_shift_mask) == 0) && !BOOST_MP_IS_CONST_EVALUATED(s))
|
|
#endif
|
|
right_shift_byte(result, s);
|
|
#else
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::limb_bits - 1;
|
|
|
|
if ((s & limb_shift_mask) == 0)
|
|
right_shift_limb(result, s);
|
|
#endif
|
|
else
|
|
right_shift_generic(result, s);
|
|
}
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_int_check_type Checked1, class Allocator1>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1> >::value>::type
|
|
eval_right_shift(
|
|
cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>& result,
|
|
double_limb_type s) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1> >::value))
|
|
{
|
|
is_valid_bitwise_op(result, typename cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::checked_type());
|
|
if (!s)
|
|
return;
|
|
|
|
bool is_neg = result.sign();
|
|
if (is_neg)
|
|
eval_increment(result);
|
|
|
|
#if BOOST_MP_ENDIAN_LITTLE_BYTE && defined(BOOST_MP_USE_LIMB_SHIFT)
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::limb_bits - 1;
|
|
constexpr limb_type byte_shift_mask = CHAR_BIT - 1;
|
|
|
|
if ((s & limb_shift_mask) == 0)
|
|
right_shift_limb(result, s);
|
|
#ifdef BOOST_MP_NO_CONSTEXPR_DETECTION
|
|
else if ((s & byte_shift_mask) == 0)
|
|
#else
|
|
else if (((s & byte_shift_mask) == 0) && !BOOST_MP_IS_CONST_EVALUATED(s))
|
|
#endif
|
|
right_shift_byte(result, s);
|
|
#elif BOOST_MP_ENDIAN_LITTLE_BYTE
|
|
constexpr limb_type byte_shift_mask = CHAR_BIT - 1;
|
|
|
|
#ifdef BOOST_MP_NO_CONSTEXPR_DETECTION
|
|
if ((s & byte_shift_mask) == 0)
|
|
#else
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::limb_bits - 1;
|
|
if (BOOST_MP_IS_CONST_EVALUATED(s) && ((s & limb_shift_mask) == 0))
|
|
right_shift_limb(result, s);
|
|
else if (((s & byte_shift_mask) == 0) && !BOOST_MP_IS_CONST_EVALUATED(s))
|
|
#endif
|
|
right_shift_byte(result, s);
|
|
#else
|
|
constexpr limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::limb_bits - 1;
|
|
|
|
if ((s & limb_shift_mask) == 0)
|
|
right_shift_limb(result, s);
|
|
#endif
|
|
else
|
|
right_shift_generic(result, s);
|
|
if (is_neg)
|
|
eval_decrement(result);
|
|
}
|
|
|
|
//
|
|
// Over again for trivial cpp_int's:
|
|
//
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, class T>
|
|
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value >::type
|
|
eval_left_shift(cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result, T s) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
is_valid_bitwise_op(result, typename cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::checked_type());
|
|
*result.limbs() = detail::checked_left_shift(*result.limbs(), s, typename cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::checked_type());
|
|
result.normalize();
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, class T>
|
|
BOOST_MP_FORCEINLINE BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value >::type
|
|
eval_right_shift(cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result, T s) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
// Nothing to check here... just make sure we don't invoke undefined behavior:
|
|
is_valid_bitwise_op(result, typename cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::checked_type());
|
|
*result.limbs() = (static_cast<unsigned>(s) >= sizeof(*result.limbs()) * CHAR_BIT) ? 0 : (result.sign() ? ((--*result.limbs()) >> s) + 1 : *result.limbs() >> s);
|
|
if (result.sign() && (*result.limbs() == 0))
|
|
result = static_cast<signed_limb_type>(-1);
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<
|
|
is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value && (is_signed_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value || is_signed_number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value)>::type
|
|
eval_complement(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
static_assert(((Checked1 != checked) || (Checked2 != checked)), "Attempt to take the complement of a signed type results in undefined behavior.");
|
|
//
|
|
// If we're not checked then emulate 2's complement behavior:
|
|
//
|
|
if (o.sign())
|
|
{
|
|
*result.limbs() = *o.limbs() - 1;
|
|
result.sign(false);
|
|
}
|
|
else
|
|
{
|
|
*result.limbs() = 1 + *o.limbs();
|
|
result.sign(true);
|
|
}
|
|
result.normalize();
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<
|
|
is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value && is_unsigned_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_unsigned_number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>::type
|
|
eval_complement(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
*result.limbs() = ~*o.limbs();
|
|
result.normalize();
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<
|
|
is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value && is_unsigned_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_unsigned_number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>::type
|
|
eval_bitwise_and(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
*result.limbs() &= *o.limbs();
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<
|
|
is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value && (is_signed_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value || is_signed_number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value)>::type
|
|
eval_bitwise_and(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
is_valid_bitwise_op(result, o, typename cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::checked_type());
|
|
|
|
using default_ops::eval_bit_test;
|
|
using default_ops::eval_increment;
|
|
|
|
if (result.sign() || o.sign())
|
|
{
|
|
constexpr std::size_t m = detail::static_unsigned_max<detail::static_unsigned_max<MinBits1, MinBits2>::value, detail::static_unsigned_max<MaxBits1, MaxBits2>::value>::value;
|
|
cpp_int_backend<m + 1, m + 1, unsigned_magnitude, unchecked, void> t1(result);
|
|
cpp_int_backend<m + 1, m + 1, unsigned_magnitude, unchecked, void> t2(o);
|
|
eval_bitwise_and(t1, t2);
|
|
bool s = eval_bit_test(t1, m + 1);
|
|
if (s)
|
|
{
|
|
eval_complement(t1, t1);
|
|
eval_increment(t1);
|
|
}
|
|
result = t1;
|
|
result.sign(s);
|
|
}
|
|
else
|
|
{
|
|
*result.limbs() &= *o.limbs();
|
|
}
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<
|
|
is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value && is_unsigned_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_unsigned_number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>::type
|
|
eval_bitwise_or(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
*result.limbs() |= *o.limbs();
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<
|
|
is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value && (is_signed_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value || is_signed_number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value)>::type
|
|
eval_bitwise_or(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
is_valid_bitwise_op(result, o, typename cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::checked_type());
|
|
|
|
using default_ops::eval_bit_test;
|
|
using default_ops::eval_increment;
|
|
|
|
if (result.sign() || o.sign())
|
|
{
|
|
constexpr std::size_t m = detail::static_unsigned_max<detail::static_unsigned_max<MinBits1, MinBits2>::value, detail::static_unsigned_max<MaxBits1, MaxBits2>::value>::value;
|
|
cpp_int_backend<m + 1, m + 1, unsigned_magnitude, unchecked, void> t1(result);
|
|
cpp_int_backend<m + 1, m + 1, unsigned_magnitude, unchecked, void> t2(o);
|
|
eval_bitwise_or(t1, t2);
|
|
bool s = eval_bit_test(t1, m + 1);
|
|
if (s)
|
|
{
|
|
eval_complement(t1, t1);
|
|
eval_increment(t1);
|
|
}
|
|
result = t1;
|
|
result.sign(s);
|
|
}
|
|
else
|
|
{
|
|
*result.limbs() |= *o.limbs();
|
|
result.normalize();
|
|
}
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<
|
|
is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value && is_unsigned_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_unsigned_number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value>::type
|
|
eval_bitwise_xor(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
*result.limbs() ^= *o.limbs();
|
|
}
|
|
|
|
template <std::size_t MinBits1, std::size_t MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, std::size_t MinBits2, std::size_t MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
|
|
inline BOOST_MP_CXX14_CONSTEXPR typename std::enable_if<
|
|
is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value && is_trivial_cpp_int<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value && (is_signed_number<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value || is_signed_number<cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2> >::value)>::type
|
|
eval_bitwise_xor(
|
|
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
|
|
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) noexcept((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
|
|
{
|
|
is_valid_bitwise_op(result, o, typename cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::checked_type());
|
|
|
|
using default_ops::eval_bit_test;
|
|
using default_ops::eval_increment;
|
|
|
|
if (result.sign() || o.sign())
|
|
{
|
|
constexpr std::size_t m = detail::static_unsigned_max<detail::static_unsigned_max<MinBits1, MinBits2>::value, detail::static_unsigned_max<MaxBits1, MaxBits2>::value>::value;
|
|
cpp_int_backend<m + 1, m + 1, unsigned_magnitude, unchecked, void> t1(result);
|
|
cpp_int_backend<m + 1, m + 1, unsigned_magnitude, unchecked, void> t2(o);
|
|
eval_bitwise_xor(t1, t2);
|
|
bool s = eval_bit_test(t1, m + 1);
|
|
if (s)
|
|
{
|
|
eval_complement(t1, t1);
|
|
eval_increment(t1);
|
|
}
|
|
result = t1;
|
|
result.sign(s);
|
|
}
|
|
else
|
|
{
|
|
*result.limbs() ^= *o.limbs();
|
|
}
|
|
}
|
|
|
|
}}} // namespace boost::multiprecision::backends
|
|
|
|
#ifdef BOOST_MSVC
|
|
#pragma warning(pop)
|
|
#endif
|
|
|
|
#endif
|