vn-verdnaturachat/ios/Pods/boost-for-react-native/boost/multiprecision/cpp_int/bitwise.hpp

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39 KiB
C++

///////////////////////////////////////////////////////////////
// Copyright 2012 John Maddock. 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_
//
// Comparison operators for cpp_int_backend:
//
#ifndef BOOST_MP_CPP_INT_BIT_HPP
#define BOOST_MP_CPP_INT_BIT_HPP
#ifdef _MSC_VER
#pragma warning(push)
#pragma warning(disable:4319)
#endif
namespace boost{ namespace multiprecision{ namespace backends{
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
void is_valid_bitwise_op(
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o, const mpl::int_<checked>&)
{
if(result.sign() || o.sign())
BOOST_THROW_EXCEPTION(std::range_error("Bitwise operations on negative values results in undefined behavior."));
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
void is_valid_bitwise_op(
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>&,
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& , const mpl::int_<unchecked>&){}
template <unsigned MinBits1, unsigned MaxBits1, cpp_int_check_type Checked1, class Allocator1>
void is_valid_bitwise_op(
const cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>& result, const mpl::int_<checked>&)
{
if(result.sign())
BOOST_THROW_EXCEPTION(std::range_error("Bitwise operations on negative values results in undefined behavior."));
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_int_check_type Checked1, class Allocator1>
void is_valid_bitwise_op(
const cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>&, const mpl::int_<checked>&){}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1>
void is_valid_bitwise_op(
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>&, const mpl::int_<unchecked>&){}
template <class CppInt1, class CppInt2, class Op>
void bitwise_op(
CppInt1& result,
const CppInt2& o,
Op op, const mpl::true_&) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<CppInt1>::value))
{
//
// There are 4 cases:
// * Both positive.
// * result negative, o positive.
// * o negative, result positive.
// * Both negative.
//
// When one arg is negative we convert to 2's complement form "on the fly",
// and then convert back to signed-magnitude form at the end.
//
// Note however, that if the type is checked, then bitwise ops on negative values
// are not permitted and an exception will result.
//
is_valid_bitwise_op(result, o, typename CppInt1::checked_type());
//
// First figure out how big the result needs to be and set up some data:
//
unsigned rs = result.size();
unsigned os = o.size();
unsigned m, x;
minmax(rs, os, m, x);
result.resize(x, x);
typename CppInt1::limb_pointer pr = result.limbs();
typename CppInt2::const_limb_pointer po = o.limbs();
for(unsigned i = rs; i < x; ++i)
pr[i] = 0;
limb_type next_limb = 0;
if(!result.sign())
{
if(!o.sign())
{
for(unsigned i = 0; i < os; ++i)
pr[i] = op(pr[i], po[i]);
for(unsigned i = os; i < x; ++i)
pr[i] = op(pr[i], limb_type(0));
}
else
{
// "o" is negative:
double_limb_type carry = 1;
for(unsigned i = 0; i < os; ++i)
{
carry += static_cast<double_limb_type>(~po[i]);
pr[i] = op(pr[i], static_cast<limb_type>(carry));
carry >>= CppInt1::limb_bits;
}
for(unsigned i = os; i < x; ++i)
{
carry += static_cast<double_limb_type>(~limb_type(0));
pr[i] = op(pr[i], static_cast<limb_type>(carry));
carry >>= CppInt1::limb_bits;
}
// Set the overflow into the "extra" limb:
carry += static_cast<double_limb_type>(~limb_type(0));
next_limb = op(limb_type(0), static_cast<limb_type>(carry));
}
}
else
{
if(!o.sign())
{
// "result" is negative:
double_limb_type carry = 1;
for(unsigned i = 0; i < os; ++i)
{
carry += static_cast<double_limb_type>(~pr[i]);
pr[i] = op(static_cast<limb_type>(carry), po[i]);
carry >>= CppInt1::limb_bits;
}
for(unsigned i = os; i < x; ++i)
{
carry += static_cast<double_limb_type>(~pr[i]);
pr[i] = op(static_cast<limb_type>(carry), limb_type(0));
carry >>= CppInt1::limb_bits;
}
// Set the overflow into the "extra" limb:
carry += static_cast<double_limb_type>(~limb_type(0));
next_limb = op(static_cast<limb_type>(carry), limb_type(0));
}
else
{
// both are negative:
double_limb_type r_carry = 1;
double_limb_type o_carry = 1;
for(unsigned i = 0; i < os; ++i)
{
r_carry += static_cast<double_limb_type>(~pr[i]);
o_carry += static_cast<double_limb_type>(~po[i]);
pr[i] = op(static_cast<limb_type>(r_carry), static_cast<limb_type>(o_carry));
r_carry >>= CppInt1::limb_bits;
o_carry >>= CppInt1::limb_bits;
}
for(unsigned i = os; i < x; ++i)
{
r_carry += static_cast<double_limb_type>(~pr[i]);
o_carry += static_cast<double_limb_type>(~limb_type(0));
pr[i] = op(static_cast<limb_type>(r_carry), static_cast<limb_type>(o_carry));
r_carry >>= CppInt1::limb_bits;
o_carry >>= CppInt1::limb_bits;
}
// Set the overflow into the "extra" limb:
r_carry += static_cast<double_limb_type>(~limb_type(0));
o_carry += static_cast<double_limb_type>(~limb_type(0));
next_limb = op(static_cast<limb_type>(r_carry), static_cast<limb_type>(o_carry));
}
}
//
// See if the result is negative or not:
//
if(static_cast<signed_limb_type>(next_limb) < 0)
{
double_limb_type carry = 1;
for(unsigned i = 0; i < x; ++i)
{
carry += static_cast<double_limb_type>(~pr[i]);
pr[i] = static_cast<limb_type>(carry);
carry >>= CppInt1::limb_bits;
}
if(carry)
{
result.resize(x + 1, x);
if(result.size() > x)
result.limbs()[x] = static_cast<limb_type>(carry);
}
result.sign(true);
}
else
result.sign(false);
result.normalize();
}
template <class CppInt1, class CppInt2, class Op>
void bitwise_op(
CppInt1& result,
const CppInt2& o,
Op op, const mpl::false_&) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<CppInt1>::value))
{
//
// Both arguments are unsigned types, very simple case handled as a special case.
//
// First figure out how big the result needs to be and set up some data:
//
unsigned rs = result.size();
unsigned os = o.size();
unsigned m, x;
minmax(rs, os, m, x);
result.resize(x, x);
typename CppInt1::limb_pointer pr = result.limbs();
typename CppInt2::const_limb_pointer po = o.limbs();
for(unsigned i = rs; i < x; ++i)
pr[i] = 0;
for(unsigned i = 0; i < os; ++i)
pr[i] = op(pr[i], po[i]);
for(unsigned i = os; i < x; ++i)
pr[i] = op(pr[i], limb_type(0));
result.normalize();
}
struct bit_and{ limb_type operator()(limb_type a, limb_type b)const BOOST_NOEXCEPT { return a & b; } };
struct bit_or { limb_type operator()(limb_type a, limb_type b)const BOOST_NOEXCEPT { return a | b; } };
struct bit_xor{ limb_type operator()(limb_type a, limb_type b)const BOOST_NOEXCEPT { return a ^ b; } };
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
BOOST_MP_FORCEINLINE typename enable_if_c<!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
eval_bitwise_and(
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
bitwise_op(result, o, bit_and(),
mpl::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>());
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
BOOST_MP_FORCEINLINE typename enable_if_c<!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
eval_bitwise_or(
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
bitwise_op(result, o, bit_or(),
mpl::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>());
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
BOOST_MP_FORCEINLINE typename enable_if_c<!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
eval_bitwise_xor(
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
bitwise_op(result, o, bit_xor(),
mpl::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>());
}
//
// Again for operands which are single limbs:
//
template <unsigned MinBits1, unsigned MaxBits1, cpp_int_check_type Checked1, class Allocator1>
BOOST_MP_FORCEINLINE typename enable_if_c<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1> >::value>::type
eval_bitwise_and(
cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>& result,
limb_type l) BOOST_NOEXCEPT
{
result.limbs()[0] &= l;
result.resize(1, 1);
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_int_check_type Checked1, class Allocator1>
BOOST_MP_FORCEINLINE typename enable_if_c<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1> >::value>::type
eval_bitwise_or(
cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>& result,
limb_type l) BOOST_NOEXCEPT
{
result.limbs()[0] |= l;
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_int_check_type Checked1, class Allocator1>
BOOST_MP_FORCEINLINE typename enable_if_c<!is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1> >::value>::type
eval_bitwise_xor(
cpp_int_backend<MinBits1, MaxBits1, unsigned_magnitude, Checked1, Allocator1>& result,
limb_type l) BOOST_NOEXCEPT
{
result.limbs()[0] ^= l;
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
BOOST_MP_FORCEINLINE typename enable_if_c<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
eval_complement(
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
const cpp_int_backend<MinBits2, MaxBits2, SignType2, Checked2, Allocator2>& o) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
BOOST_STATIC_ASSERT_MSG(((Checked1 != checked) || (Checked2 != checked)), "Attempt to take the complement of a signed type results in undefined behavior.");
// Increment and negate:
result = o;
eval_increment(result);
result.negate();
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1>
BOOST_MP_FORCEINLINE typename enable_if_c<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
eval_complement(
cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result,
const cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& o) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
unsigned os = o.size();
result.resize(UINT_MAX, os);
for(unsigned i = 0; i < os; ++i)
result.limbs()[i] = ~o.limbs()[i];
for(unsigned i = os; i < result.size(); ++i)
result.limbs()[i] = ~static_cast<limb_type>(0);
result.normalize();
}
template <class Int>
inline void left_shift_byte(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);
unsigned ors = result.size();
if((ors == 1) && (!*result.limbs()))
return; // shifting zero yields zero.
unsigned 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 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);
unsigned ors = result.size();
if((ors == 1) && (!*result.limbs()))
return; // shifting zero yields zero.
unsigned 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;
}
unsigned i = rs - result.size();
for(; i < ors; ++i)
pr[rs - 1 - i] = pr[ors - 1 - i];
for(; i < rs; ++i)
pr[rs - 1 - i] = 0;
}
template <class Int>
inline 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);
unsigned ors = result.size();
if((ors == 1) && (!*result.limbs()))
return; // shifting zero yields zero.
unsigned 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;
}
unsigned i = rs - result.size();
// This code only works when shift is non-zero, otherwise we invoke undefined behaviour!
BOOST_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(; ors > 1 + i; ++i)
{
pr[rs - 1 - i] = pr[ors - 1 - i] << shift;
pr[rs - 1 - i] |= pr[ors - 2 - i] >> (Int::limb_bits - shift);
}
if(ors >= 1 + i)
{
pr[rs - 1 - i] = pr[ors - 1 - i] << shift;
++i;
}
for(; i < rs; ++i)
pr[rs - 1 - i] = 0;
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1>
inline typename enable_if_c<!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) BOOST_MP_NOEXCEPT_IF((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 defined(BOOST_LITTLE_ENDIAN) && defined(BOOST_MP_USE_LIMB_SHIFT)
static const limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>::limb_bits - 1;
static const limb_type byte_shift_mask = CHAR_BIT - 1;
if((s & limb_shift_mask) == 0)
{
left_shift_limb(result, s);
}
else if((s & byte_shift_mask) == 0)
{
left_shift_byte(result, s);
}
#elif defined(BOOST_LITTLE_ENDIAN)
static const limb_type byte_shift_mask = CHAR_BIT - 1;
if((s & byte_shift_mask) == 0)
{
left_shift_byte(result, s);
}
#else
static const 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);
limb_type shift;
BOOST_ASSERT((s % CHAR_BIT) == 0);
unsigned ors = result.size();
unsigned 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);
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 void right_shift_limb(Int& result, double_limb_type s)
{
limb_type offset = static_cast<limb_type>(s / Int::limb_bits);
BOOST_ASSERT((s % Int::limb_bits) == 0);
unsigned ors = result.size();
unsigned rs = ors;
if(offset >= rs)
{
result = limb_type(0);
return;
}
rs -= offset;
typename Int::limb_pointer pr = result.limbs();
unsigned i = 0;
for(; i < rs; ++i)
pr[i] = pr[i + offset];
result.resize(rs, rs);
}
template <class Int>
inline 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);
unsigned ors = result.size();
unsigned 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;
}
}
unsigned i = 0;
// This code only works for non-zero shift, otherwise we invoke undefined behaviour!
BOOST_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 <unsigned MinBits1, unsigned MaxBits1, cpp_int_check_type Checked1, class Allocator1>
inline typename enable_if_c<!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) BOOST_MP_NOEXCEPT_IF((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 defined(BOOST_LITTLE_ENDIAN) && defined(BOOST_MP_USE_LIMB_SHIFT)
static const limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::limb_bits - 1;
static const limb_type byte_shift_mask = CHAR_BIT - 1;
if((s & limb_shift_mask) == 0)
right_shift_limb(result, s);
else if((s & byte_shift_mask) == 0)
right_shift_byte(result, s);
#elif defined(BOOST_LITTLE_ENDIAN)
static const limb_type byte_shift_mask = CHAR_BIT - 1;
if((s & byte_shift_mask) == 0)
right_shift_byte(result, s);
#else
static const 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 <unsigned MinBits1, unsigned MaxBits1, cpp_int_check_type Checked1, class Allocator1>
inline typename enable_if_c<!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) BOOST_MP_NOEXCEPT_IF((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 defined(BOOST_LITTLE_ENDIAN) && defined(BOOST_MP_USE_LIMB_SHIFT)
static const limb_type limb_shift_mask = cpp_int_backend<MinBits1, MaxBits1, signed_magnitude, Checked1, Allocator1>::limb_bits - 1;
static const limb_type byte_shift_mask = CHAR_BIT - 1;
if((s & limb_shift_mask) == 0)
right_shift_limb(result, s);
else if((s & byte_shift_mask) == 0)
right_shift_byte(result, s);
#elif defined(BOOST_LITTLE_ENDIAN)
static const limb_type byte_shift_mask = CHAR_BIT - 1;
if((s & byte_shift_mask) == 0)
right_shift_byte(result, s);
#else
static const 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 <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, class T>
BOOST_MP_FORCEINLINE typename enable_if<is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> > >::type
eval_left_shift(cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result, T s) BOOST_MP_NOEXCEPT_IF((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 <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, class T>
BOOST_MP_FORCEINLINE typename enable_if<is_trivial_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> > >::type
eval_right_shift(cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1>& result, T s) BOOST_MP_NOEXCEPT_IF((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 <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
inline typename enable_if_c<
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) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
BOOST_STATIC_ASSERT_MSG(((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 <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
inline typename enable_if_c<
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) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
*result.limbs() = ~*o.limbs();
result.normalize();
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
inline typename enable_if_c<
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) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
*result.limbs() &= *o.limbs();
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
inline typename enable_if_c<
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) BOOST_MP_NOEXCEPT_IF((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())
{
static const unsigned m = static_unsigned_max<static_unsigned_max<MinBits1, MinBits2>::value, 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 <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
inline typename enable_if_c<
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) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
*result.limbs() |= *o.limbs();
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
inline typename enable_if_c<
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) BOOST_MP_NOEXCEPT_IF((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())
{
static const unsigned m = static_unsigned_max<static_unsigned_max<MinBits1, MinBits2>::value, 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 <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
inline typename enable_if_c<
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) BOOST_MP_NOEXCEPT_IF((is_non_throwing_cpp_int<cpp_int_backend<MinBits1, MaxBits1, SignType1, Checked1, Allocator1> >::value))
{
*result.limbs() ^= *o.limbs();
}
template <unsigned MinBits1, unsigned MaxBits1, cpp_integer_type SignType1, cpp_int_check_type Checked1, class Allocator1, unsigned MinBits2, unsigned MaxBits2, cpp_integer_type SignType2, cpp_int_check_type Checked2, class Allocator2>
inline typename enable_if_c<
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) BOOST_MP_NOEXCEPT_IF((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())
{
static const unsigned m = static_unsigned_max<static_unsigned_max<MinBits1, MinBits2>::value, 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();
}
}
}}} // namespaces
#ifdef _MSC_VER
#pragma warning(pop)
#endif
#endif