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libcarla/include/system/boost/multiprecision/gmp.hpp
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///////////////////////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock.
// Copyright 2021 Matt Borland. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifndef BOOST_MP_GMP_HPP
#define BOOST_MP_GMP_HPP
#include <boost/multiprecision/detail/standalone_config.hpp>
#include <boost/multiprecision/number.hpp>
#include <boost/multiprecision/debug_adaptor.hpp>
#include <boost/multiprecision/detail/integer_ops.hpp>
#include <boost/multiprecision/detail/float128_functions.hpp>
#include <boost/multiprecision/detail/digits.hpp>
#include <boost/multiprecision/detail/atomic.hpp>
#include <boost/multiprecision/detail/hash.hpp>
#include <boost/multiprecision/detail/no_exceptions_support.hpp>
#include <boost/multiprecision/detail/assert.hpp>
#include <boost/multiprecision/detail/fpclassify.hpp>
#include <algorithm>
#include <cctype>
#include <cfloat>
#include <climits>
#include <cmath>
#include <cstdint>
#include <cstdlib>
#include <cstring>
#include <iomanip>
#include <iostream>
#include <limits>
#include <memory>
#include <type_traits>
#include <utility>
//
// Some includes we need from Boost.Math, since we rely on that library to provide these functions:
//
#ifdef BOOST_MP_MATH_AVAILABLE
#include <boost/math/special_functions/asinh.hpp>
#include <boost/math/special_functions/acosh.hpp>
#include <boost/math/special_functions/atanh.hpp>
#include <boost/math/special_functions/cbrt.hpp>
#include <boost/math/special_functions/expm1.hpp>
#include <boost/math/special_functions/gamma.hpp>
#endif
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable : 4127)
#endif
#include <gmp.h>
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
#if defined(__MPIR_VERSION) && defined(__MPIR_VERSION_MINOR) && defined(__MPIR_VERSION_PATCHLEVEL)
#define BOOST_MP_MPIR_VERSION (__MPIR_VERSION * 10000 + __MPIR_VERSION_MINOR * 100 + __MPIR_VERSION_PATCHLEVEL)
#else
#define BOOST_MP_MPIR_VERSION 0
#endif
namespace boost {
namespace multiprecision {
namespace backends {
#ifdef BOOST_MSVC
// warning C4127: conditional expression is constant
#pragma warning(push)
//#pragma warning(disable : 4127)
#endif
template <unsigned digits10>
struct gmp_float;
struct gmp_int;
struct gmp_rational;
} // namespace backends
template <>
struct number_category<backends::gmp_int> : public std::integral_constant<int, number_kind_integer>
{};
template <>
struct number_category<backends::gmp_rational> : public std::integral_constant<int, number_kind_rational>
{};
template <unsigned digits10>
struct number_category<backends::gmp_float<digits10> > : public std::integral_constant<int, number_kind_floating_point>
{};
namespace backends {
//
// Within this file, the only functions we mark as noexcept are those that manipulate
// (but don't create) an mpf_t. All other types may allocate at pretty much any time
// via a user-supplied allocator, and therefore throw.
//
namespace detail {
template <unsigned digits10>
struct gmp_float_imp
{
#ifdef BOOST_HAS_LONG_LONG
using signed_types = std::tuple<long, long long> ;
using unsigned_types = std::tuple<unsigned long, unsigned long long>;
#else
using signed_types = std::tuple<long> ;
using unsigned_types = std::tuple<unsigned long>;
#endif
using float_types = std::tuple<double, long double>;
using exponent_type = long ;
gmp_float_imp() noexcept
{
m_data[0]._mp_d = nullptr; // uninitialized m_data
m_data[0]._mp_prec = 1;
}
gmp_float_imp(const gmp_float_imp& o)
{
//
// We have to do an init followed by a set here, otherwise *this may be at
// a lower precision than o: seems like mpf_init_set copies just enough bits
// to get the right value, but if it's then used in further calculations
// things go badly wrong!!
//
mpf_init2(m_data, preserve_source_precision() ? mpf_get_prec(o.data()) : boost::multiprecision::detail::digits10_2_2(get_default_precision()));
if (o.m_data[0]._mp_d)
mpf_set(m_data, o.m_data);
}
// rvalue copy
gmp_float_imp(gmp_float_imp&& o) noexcept
{
if ((this->get_default_options() == variable_precision_options::preserve_target_precision) && (mpf_get_prec(o.data()) != boost::multiprecision::detail::digits10_2_2(get_default_precision())))
{
mpf_init2(m_data, boost::multiprecision::detail::digits10_2_2(get_default_precision()));
*this = static_cast<const gmp_float_imp&>(o);
}
else
{
m_data[0] = o.m_data[0];
o.m_data[0]._mp_d = nullptr;
}
}
gmp_float_imp& operator=(const gmp_float_imp& o)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, preserve_source_precision() ? mpf_get_prec(o.data()) : boost::multiprecision::detail::digits10_2_2(get_default_precision()));
mpf_set(m_data, o.m_data);
}
else if (preserve_source_precision() && (mpf_get_prec(data()) != mpf_get_prec(o.data())))
{
mpf_t t;
mpf_init2(t, mpf_get_prec(o.data()));
mpf_set(t, o.data());
mpf_swap(data(), t);
mpf_clear(t);
}
else
{
mpf_set(m_data, o.m_data);
}
return *this;
}
// rvalue assign
gmp_float_imp& operator=(gmp_float_imp&& o) noexcept
{
if ((this->get_default_options() == variable_precision_options::preserve_target_precision) && (mpf_get_prec(o.data()) != mpf_get_prec(data())))
*this = static_cast<const gmp_float_imp&>(o);
else
{
mpf_swap(m_data, o.m_data);
}
return *this;
}
#ifdef BOOST_HAS_LONG_LONG
#if defined(ULLONG_MAX) && (ULLONG_MAX == ULONG_MAX)
gmp_float_imp& operator=(unsigned long long i)
{
*this = static_cast<unsigned long>(i);
return *this;
}
#else
gmp_float_imp& operator=(unsigned long long i)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
unsigned long long mask = ((((1uLL << (std::numeric_limits<unsigned long>::digits - 1)) - 1) << 1) | 1uLL);
unsigned shift = 0;
mpf_t t;
mpf_init2(t, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
mpf_set_ui(m_data, 0);
while (i)
{
mpf_set_ui(t, static_cast<unsigned long>(i & mask));
if (shift)
mpf_mul_2exp(t, t, shift);
mpf_add(m_data, m_data, t);
shift += std::numeric_limits<unsigned long>::digits;
i >>= std::numeric_limits<unsigned long>::digits;
}
mpf_clear(t);
return *this;
}
#endif
gmp_float_imp& operator=(long long i)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
bool neg = i < 0;
*this = static_cast<unsigned long long>(boost::multiprecision::detail::unsigned_abs(i));
if (neg)
mpf_neg(m_data, m_data);
return *this;
}
#endif
gmp_float_imp& operator=(unsigned long i)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
mpf_set_ui(m_data, i);
return *this;
}
gmp_float_imp& operator=(long i)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
mpf_set_si(m_data, i);
return *this;
}
#ifdef BOOST_HAS_INT128
gmp_float_imp& operator=(uint128_type i)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
unsigned long mask = ((((1uLL << (std::numeric_limits<unsigned long>::digits - 1)) - 1) << 1) | 1uLL);
unsigned shift = 0;
mpf_t t;
mpf_init2(t, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
mpf_set_ui(m_data, 0);
while (i)
{
mpf_set_ui(t, static_cast<unsigned long>(i & mask));
if (shift)
mpf_mul_2exp(t, t, shift);
mpf_add(m_data, m_data, t);
shift += std::numeric_limits<unsigned long>::digits;
i >>= std::numeric_limits<unsigned long>::digits;
}
mpf_clear(t);
return *this;
}
gmp_float_imp& operator=(int128_type i)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
bool neg = i < 0;
*this = static_cast<uint128_type>(boost::multiprecision::detail::unsigned_abs(i));
if (neg)
mpf_neg(m_data, m_data);
return *this;
}
#endif
gmp_float_imp& operator=(double d)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
mpf_set_d(m_data, d);
return *this;
}
template <class F>
gmp_float_imp& assign_float(F a)
{
BOOST_MP_FLOAT128_USING using std::floor; using std::frexp; using std::ldexp;
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
if (a == 0)
{
mpf_set_si(m_data, 0);
return *this;
}
if (a == 1)
{
mpf_set_si(m_data, 1);
return *this;
}
BOOST_MP_ASSERT(!BOOST_MP_ISINF(a));
BOOST_MP_ASSERT(!BOOST_MP_ISNAN(a));
int e;
F f, term;
mpf_set_ui(m_data, 0u);
f = frexp(a, &e);
constexpr int shift = std::numeric_limits<int>::digits - 1;
while (f)
{
// extract int sized bits from f:
f = ldexp(f, shift);
term = floor(f);
e -= shift;
mpf_mul_2exp(m_data, m_data, shift);
if (term > 0)
mpf_add_ui(m_data, m_data, static_cast<unsigned>(term));
else
mpf_sub_ui(m_data, m_data, static_cast<unsigned>(-term));
f -= term;
}
if (e > 0)
mpf_mul_2exp(m_data, m_data, e);
else if (e < 0)
mpf_div_2exp(m_data, m_data, -e);
return *this;
}
gmp_float_imp& operator=(long double a)
{
return assign_float(a);
}
#ifdef BOOST_HAS_FLOAT128
gmp_float_imp& operator= (float128_type a)
{
return assign_float(a);
}
#endif
gmp_float_imp& operator=(const char* s)
{
if (m_data[0]._mp_d == nullptr)
{
mpf_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : (unsigned)get_default_precision()));
}
if (s && (*s == '+'))
++s; // Leading "+" sign not supported by mpf_set_str:
if (0 != mpf_set_str(m_data, s, 10))
BOOST_MP_THROW_EXCEPTION(std::runtime_error(std::string("The string \"") + s + std::string("\"could not be interpreted as a valid floating point number.")));
return *this;
}
void swap(gmp_float_imp& o) noexcept
{
mpf_swap(m_data, o.m_data);
}
std::string str(std::streamsize digits, std::ios_base::fmtflags f) const
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
bool scientific = (f & std::ios_base::scientific) == std::ios_base::scientific;
bool fixed = (f & std::ios_base::fixed) == std::ios_base::fixed;
std::streamsize org_digits(digits);
if (scientific && digits)
++digits;
std::string result;
mp_exp_t e;
void* (*alloc_func_ptr)(size_t);
void* (*realloc_func_ptr)(void*, size_t, size_t);
void (*free_func_ptr)(void*, size_t);
mp_get_memory_functions(&alloc_func_ptr, &realloc_func_ptr, &free_func_ptr);
if (mpf_sgn(m_data) == 0)
{
e = 0;
result = "0";
if (fixed && digits)
++digits;
}
else
{
char* ps = mpf_get_str(nullptr, &e, 10, static_cast<std::size_t>(digits), m_data);
--e; // To match with what our formatter expects.
if (fixed)
{
// Oops we actually need a different number of digits to what we asked for:
(*free_func_ptr)((void*)ps, std::strlen(ps) + 1);
digits += e + 1;
if (digits == 0)
{
// We need to get *all* the digits and then possibly round up,
// we end up with either "0" or "1" as the result.
ps = mpf_get_str(nullptr, &e, 10, 0, m_data);
--e;
unsigned offset = *ps == '-' ? 1 : 0;
if (ps[offset] > '5')
{
++e;
ps[offset] = '1';
ps[offset + 1] = 0;
}
else if (ps[offset] == '5')
{
unsigned i = offset + 1;
bool round_up = false;
while (ps[i] != 0)
{
if (ps[i] != '0')
{
round_up = true;
break;
}
++i;
}
if (round_up)
{
++e;
ps[offset] = '1';
ps[offset + 1] = 0;
}
else
{
ps[offset] = '0';
ps[offset + 1] = 0;
}
}
else
{
ps[offset] = '0';
ps[offset + 1] = 0;
}
}
else if (digits > 0)
{
mp_exp_t old_e = e;
ps = mpf_get_str(nullptr, &e, 10, static_cast<std::size_t>(digits), m_data);
--e; // To match with what our formatter expects.
if (old_e > e)
{
// in some cases, when we ask for more digits of precision, it will
// change the number of digits to the left of the decimal, if that
// happens, account for it here.
// example: cout << fixed << setprecision(3) << mpf_float_50("99.9809")
digits -= old_e - e;
(*free_func_ptr)((void*)ps, std::strlen(ps) + 1);
ps = mpf_get_str(nullptr, &e, 10, static_cast<std::size_t>(digits), m_data);
--e; // To match with what our formatter expects.
}
}
else
{
ps = mpf_get_str(nullptr, &e, 10, 1, m_data);
--e;
unsigned offset = *ps == '-' ? 1 : 0;
ps[offset] = '0';
ps[offset + 1] = 0;
}
}
result = ps;
(*free_func_ptr)((void*)ps, std::strlen(ps) + 1);
}
boost::multiprecision::detail::format_float_string(result, e, org_digits, f, mpf_sgn(m_data) == 0);
return result;
}
~gmp_float_imp() noexcept
{
if (m_data[0]._mp_d)
{
mpf_clear(m_data);
}
}
void negate() noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
mpf_neg(m_data, m_data);
}
int compare(const gmp_float<digits10>& o) const noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d && o.m_data[0]._mp_d);
return mpf_cmp(m_data, o.m_data);
}
int compare(long i) const noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
return mpf_cmp_si(m_data, i);
}
int compare(unsigned long i) const noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
return mpf_cmp_ui(m_data, i);
}
template <class V>
typename std::enable_if<boost::multiprecision::detail::is_arithmetic<V>::value, int>::type compare(V v) const
{
gmp_float<digits10> d;
d = v;
return compare(d);
}
mpf_t& data() noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
return m_data;
}
const mpf_t& data() const noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
return m_data;
}
protected:
mpf_t m_data;
static unsigned& get_default_precision() noexcept
{
static BOOST_MP_THREAD_LOCAL unsigned val(get_global_default_precision());
return val;
}
static boost::multiprecision::detail::precision_type& get_global_default_precision() noexcept
{
static boost::multiprecision::detail::precision_type val(50);
return val;
}
#ifndef BOOST_MT_NO_ATOMIC_INT
static std::atomic<variable_precision_options>& get_global_default_options() noexcept
#else
static variable_precision_options& get_global_default_options() noexcept
#endif
{
#ifndef BOOST_MT_NO_ATOMIC_INT
static std::atomic<variable_precision_options> val{variable_precision_options::preserve_related_precision};
#else
static variable_precision_options val{variable_precision_options::preserve_related_precision};
#endif
return val;
}
static variable_precision_options& get_default_options()noexcept
{
static BOOST_MP_THREAD_LOCAL variable_precision_options val(get_global_default_options());
return val;
}
static bool preserve_source_precision() noexcept
{
return get_default_options() >= variable_precision_options::preserve_source_precision;
}
};
class gmp_char_ptr
{
private:
char* ptr_val;
void* (*alloc_func_ptr)(size_t);
void* (*realloc_func_ptr)(void*, size_t, size_t);
void (*free_func_ptr)(void*, size_t);
public:
gmp_char_ptr() = delete;
explicit gmp_char_ptr(char* val_) : ptr_val {val_}
{
mp_get_memory_functions(&alloc_func_ptr, &realloc_func_ptr, &free_func_ptr);
}
~gmp_char_ptr() noexcept
{
(*free_func_ptr)((void*)ptr_val, sizeof(*ptr_val));
ptr_val = nullptr;
}
inline char* get() noexcept { return ptr_val; }
};
} // namespace detail
struct gmp_int;
struct gmp_rational;
template <unsigned digits10>
struct gmp_float : public detail::gmp_float_imp<digits10>
{
gmp_float()
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
}
gmp_float(const gmp_float& o) : detail::gmp_float_imp<digits10>(o) {}
template <unsigned D>
gmp_float(const gmp_float<D>& o, typename std::enable_if<D <= digits10>::type* = 0);
template <unsigned D>
explicit gmp_float(const gmp_float<D>& o, typename std::enable_if<!(D <= digits10)>::type* = 0);
gmp_float(const gmp_int& o);
gmp_float(const gmp_rational& o);
gmp_float(const mpf_t val)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpf_set(this->m_data, val);
}
gmp_float(const mpz_t val)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpf_set_z(this->m_data, val);
}
gmp_float(const mpq_t val)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpf_set_q(this->m_data, val);
}
// rvalue copy
gmp_float(gmp_float&& o) noexcept : detail::gmp_float_imp<digits10>(static_cast<detail::gmp_float_imp<digits10>&&>(o))
{}
gmp_float& operator=(const gmp_float& o)
{
*static_cast<detail::gmp_float_imp<digits10>*>(this) = static_cast<detail::gmp_float_imp<digits10> const&>(o);
return *this;
}
gmp_float& operator=(gmp_float&& o) noexcept
{
*static_cast<detail::gmp_float_imp<digits10>*>(this) = static_cast<detail::gmp_float_imp<digits10>&&>(o);
return *this;
}
template <unsigned D>
gmp_float& operator=(const gmp_float<D>& o);
gmp_float& operator=(const gmp_int& o);
gmp_float& operator=(const gmp_rational& o);
gmp_float& operator=(const mpf_t val)
{
if (this->m_data[0]._mp_d == nullptr)
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpf_set(this->m_data, val);
return *this;
}
gmp_float& operator=(const mpz_t val)
{
if (this->m_data[0]._mp_d == nullptr)
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpf_set_z(this->m_data, val);
return *this;
}
gmp_float& operator=(const mpq_t val)
{
if (this->m_data[0]._mp_d == nullptr)
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpf_set_q(this->m_data, val);
return *this;
}
template <class V>
typename std::enable_if<std::is_assignable<detail::gmp_float_imp<digits10>, V>::value, gmp_float&>::type operator=(const V& v)
{
*static_cast<detail::gmp_float_imp<digits10>*>(this) = v;
return *this;
}
};
template <>
struct gmp_float<0> : public detail::gmp_float_imp<0>
{
//
// We have a problem with mpf_t in that the precision we request isn't what we get.
// As a result the front end can end up chasing it's tail trying to create a variable
// with the the correct precision to hold the result of an expression.
// See: https://github.com/boostorg/multiprecision/issues/164
// The problem is made worse by the fact that our conversions from base10 to 2 and
// vice-versa do not exactly round trip (and probably never will).
// The workaround is to keep track of the precision requested, and always return
// that as the current actual precision.
//
private:
unsigned requested_precision;
public:
gmp_float() : requested_precision(get_default_precision())
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
}
gmp_float(const mpf_t val) : requested_precision(get_default_precision())
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
mpf_set(this->m_data, val);
}
gmp_float(const mpz_t val) : requested_precision(get_default_precision())
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
mpf_set_z(this->m_data, val);
}
gmp_float(const mpq_t val) : requested_precision(get_default_precision())
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
mpf_set_q(this->m_data, val);
}
gmp_float(const gmp_float& o) : detail::gmp_float_imp<0>(o), requested_precision(preserve_source_precision() ? o.requested_precision : get_default_precision()) {}
template <unsigned D>
gmp_float(const gmp_float<D>& o)
{
mpf_init2(this->m_data, preserve_related_precision() ? mpf_get_prec(o.data()) : multiprecision::detail::digits10_2_2(get_default_precision()));
mpf_set(this->m_data, o.data());
requested_precision = preserve_related_precision() ? D : get_default_precision();
}
// rvalue copy
gmp_float(gmp_float&& o) noexcept : detail::gmp_float_imp<0>(static_cast<detail::gmp_float_imp<0>&&>(o)), requested_precision((this->get_default_options() != variable_precision_options::preserve_target_precision) ? o.requested_precision : get_default_precision())
{}
gmp_float(const gmp_int& o);
gmp_float(const gmp_rational& o);
gmp_float(const gmp_float& o, unsigned digits10) : requested_precision(digits10)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpf_set(this->m_data, o.data());
}
template <class V>
gmp_float(const V& o, unsigned digits10) : requested_precision(digits10)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
*this = o;
}
#ifndef BOOST_NO_CXX17_HDR_STRING_VIEW
//
// Support for new types in C++17
//
template <class Traits>
gmp_float(const std::basic_string_view<char, Traits>& o, unsigned digits10) : requested_precision(digits10)
{
using default_ops::assign_from_string_view;
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
assign_from_string_view(*this, o);
}
#endif
gmp_float& operator=(const gmp_float& o)
{
*static_cast<detail::gmp_float_imp<0>*>(this) = static_cast<detail::gmp_float_imp<0> const&>(o);
if(preserve_source_precision())
requested_precision = o.requested_precision;
return *this;
}
// rvalue copy
gmp_float& operator=(gmp_float&& o) noexcept
{
*static_cast<detail::gmp_float_imp<0>*>(this) = static_cast<detail::gmp_float_imp<0>&&>(o);
if ((this->get_default_options() != variable_precision_options::preserve_target_precision))
requested_precision = o.requested_precision;
return *this;
}
template <unsigned D>
gmp_float& operator=(const gmp_float<D>& o)
{
if (this->m_data[0]._mp_d == nullptr)
{
mpf_init2(this->m_data, preserve_related_precision() ? mpf_get_prec(o.data()) : multiprecision::detail::digits10_2_2(get_default_precision()));
}
else if(preserve_related_precision())
{
mpf_set_prec(this->m_data, mpf_get_prec(o.data()));
}
mpf_set(this->m_data, o.data());
if (preserve_related_precision())
requested_precision = D;
return *this;
}
gmp_float& operator=(const gmp_int& o);
gmp_float& operator=(const gmp_rational& o);
gmp_float& operator=(const mpf_t val)
{
if (this->m_data[0]._mp_d == nullptr)
{
requested_precision = get_default_precision();
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
}
mpf_set(this->m_data, val);
return *this;
}
gmp_float& operator=(const mpz_t val)
{
if (this->m_data[0]._mp_d == nullptr)
{
requested_precision = get_default_precision();
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
}
mpf_set_z(this->m_data, val);
return *this;
}
gmp_float& operator=(const mpq_t val)
{
if (this->m_data[0]._mp_d == nullptr)
{
requested_precision = get_default_precision();
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
}
mpf_set_q(this->m_data, val);
return *this;
}
template <class V>
typename std::enable_if<std::is_assignable<detail::gmp_float_imp<0>, V>::value, gmp_float&>::type operator=(const V& v)
{
constexpr unsigned d10 = std::is_floating_point<V>::value ?
std::numeric_limits<V>::digits10 :
std::numeric_limits<V>::digits10 ? 1 + std::numeric_limits<V>::digits10 :
1 + boost::multiprecision::detail::digits2_2_10(std::numeric_limits<V>::digits);
if((thread_default_variable_precision_options() >= variable_precision_options::preserve_all_precision) && (precision() < d10))
this->precision(d10);
*static_cast<detail::gmp_float_imp<0>*>(this) = v;
return *this;
}
static unsigned default_precision() noexcept
{
return get_global_default_precision();
}
static void default_precision(unsigned v) noexcept
{
get_global_default_precision() = v;
}
static unsigned thread_default_precision() noexcept
{
return get_default_precision();
}
static void thread_default_precision(unsigned v) noexcept
{
get_default_precision() = v;
}
unsigned precision() const noexcept
{
return requested_precision;
}
void precision(unsigned digits10) noexcept
{
requested_precision = digits10;
mpf_set_prec(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
}
//
// Variable precision options:
//
static variable_precision_options default_variable_precision_options()noexcept
{
return get_global_default_options();
}
static variable_precision_options thread_default_variable_precision_options()noexcept
{
return get_default_options();
}
static void default_variable_precision_options(variable_precision_options opts)
{
get_global_default_options() = opts;
}
static void thread_default_variable_precision_options(variable_precision_options opts)
{
get_default_options() = opts;
}
static bool preserve_source_precision()
{
return get_default_options() >= variable_precision_options::preserve_source_precision;
}
static bool preserve_related_precision()
{
return get_default_options() >= variable_precision_options::preserve_related_precision;
}
static bool preserve_all_precision()
{
return get_default_options() >= variable_precision_options::preserve_all_precision;
}
//
// swap:
//
void swap(gmp_float& o)
{
std::swap(requested_precision, o.requested_precision);
gmp_float_imp<0>::swap(o);
}
};
template <unsigned digits10, class T>
inline typename std::enable_if<boost::multiprecision::detail::is_arithmetic<T>::value, bool>::type eval_eq(const gmp_float<digits10>& a, const T& b) noexcept
{
return a.compare(b) == 0;
}
template <unsigned digits10, class T>
inline typename std::enable_if<boost::multiprecision::detail::is_arithmetic<T>::value, bool>::type eval_lt(const gmp_float<digits10>& a, const T& b) noexcept
{
return a.compare(b) < 0;
}
template <unsigned digits10, class T>
inline typename std::enable_if<boost::multiprecision::detail::is_arithmetic<T>::value, bool>::type eval_gt(const gmp_float<digits10>& a, const T& b) noexcept
{
return a.compare(b) > 0;
}
template <unsigned D1, unsigned D2>
inline void eval_add(gmp_float<D1>& result, const gmp_float<D2>& o)
{
mpf_add(result.data(), result.data(), o.data());
}
template <unsigned D1, unsigned D2>
inline void eval_subtract(gmp_float<D1>& result, const gmp_float<D2>& o)
{
mpf_sub(result.data(), result.data(), o.data());
}
template <unsigned D1, unsigned D2>
inline void eval_multiply(gmp_float<D1>& result, const gmp_float<D2>& o)
{
mpf_mul(result.data(), result.data(), o.data());
}
template <unsigned digits10>
inline bool eval_is_zero(const gmp_float<digits10>& val) noexcept
{
return mpf_sgn(val.data()) == 0;
}
template <unsigned D1, unsigned D2>
inline void eval_divide(gmp_float<D1>& result, const gmp_float<D2>& o)
{
if (eval_is_zero(o))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpf_div(result.data(), result.data(), o.data());
}
template <unsigned digits10>
inline void eval_add(gmp_float<digits10>& result, unsigned long i)
{
mpf_add_ui(result.data(), result.data(), i);
}
template <unsigned digits10>
inline void eval_subtract(gmp_float<digits10>& result, unsigned long i)
{
mpf_sub_ui(result.data(), result.data(), i);
}
template <unsigned digits10>
inline void eval_multiply(gmp_float<digits10>& result, unsigned long i)
{
mpf_mul_ui(result.data(), result.data(), i);
}
template <unsigned digits10>
inline void eval_divide(gmp_float<digits10>& result, unsigned long i)
{
if (i == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpf_div_ui(result.data(), result.data(), i);
}
template <unsigned digits10>
inline void eval_add(gmp_float<digits10>& result, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (i > 0)
mpf_add_ui(result.data(), result.data(), static_cast<local_uint_type>(i));
else if (i < 0)
mpf_sub_ui(result.data(), result.data(), static_cast<local_uint_type>(-i));
}
template <unsigned digits10>
inline void eval_subtract(gmp_float<digits10>& result, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (i > 0)
mpf_sub_ui(result.data(), result.data(), static_cast<local_uint_type>(i));
else if (i < 0)
mpf_add_ui(result.data(), result.data(), static_cast<local_uint_type>(-i));
}
template <unsigned digits10>
inline void eval_multiply(gmp_float<digits10>& result, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
mpf_mul_ui(result.data(), result.data(), static_cast<local_uint_type>(boost::multiprecision::detail::unsigned_abs(i)));
if (i < 0)
mpf_neg(result.data(), result.data());
}
template <unsigned digits10>
inline void eval_divide(gmp_float<digits10>& result, long i)
{
if (i == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
mpf_div_ui(result.data(), result.data(), static_cast<local_uint_type>(boost::multiprecision::detail::unsigned_abs(i)));
if (i < 0)
mpf_neg(result.data(), result.data());
}
//
// Specialised 3 arg versions of the basic operators:
//
template <unsigned D1, unsigned D2, unsigned D3>
inline void eval_add(gmp_float<D1>& a, const gmp_float<D2>& x, const gmp_float<D3>& y)
{
mpf_add(a.data(), x.data(), y.data());
}
template <unsigned D1, unsigned D2>
inline void eval_add(gmp_float<D1>& a, const gmp_float<D2>& x, unsigned long y)
{
mpf_add_ui(a.data(), x.data(), y);
}
template <unsigned D1, unsigned D2>
inline void eval_add(gmp_float<D1>& a, const gmp_float<D2>& x, long y)
{
if (y < 0)
mpf_sub_ui(a.data(), x.data(), boost::multiprecision::detail::unsigned_abs(y));
else
mpf_add_ui(a.data(), x.data(), y);
}
template <unsigned D1, unsigned D2>
inline void eval_add(gmp_float<D1>& a, unsigned long x, const gmp_float<D2>& y)
{
mpf_add_ui(a.data(), y.data(), x);
}
template <unsigned D1, unsigned D2>
inline void eval_add(gmp_float<D1>& a, long x, const gmp_float<D2>& y)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (x < 0)
{
mpf_ui_sub(a.data(), static_cast<local_uint_type>(-x), y.data());
mpf_neg(a.data(), a.data());
}
else
mpf_add_ui(a.data(), y.data(), static_cast<local_uint_type>(x));
}
template <unsigned D1, unsigned D2, unsigned D3>
inline void eval_subtract(gmp_float<D1>& a, const gmp_float<D2>& x, const gmp_float<D3>& y)
{
mpf_sub(a.data(), x.data(), y.data());
}
template <unsigned D1, unsigned D2>
inline void eval_subtract(gmp_float<D1>& a, const gmp_float<D2>& x, unsigned long y)
{
mpf_sub_ui(a.data(), x.data(), y);
}
template <unsigned D1, unsigned D2>
inline void eval_subtract(gmp_float<D1>& a, const gmp_float<D2>& x, long y)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (y < 0)
mpf_add_ui(a.data(), x.data(), static_cast<local_uint_type>(-y));
else
mpf_sub_ui(a.data(), x.data(), static_cast<local_uint_type>(y));
}
template <unsigned D1, unsigned D2>
inline void eval_subtract(gmp_float<D1>& a, unsigned long x, const gmp_float<D2>& y)
{
mpf_ui_sub(a.data(), x, y.data());
}
template <unsigned D1, unsigned D2>
inline void eval_subtract(gmp_float<D1>& a, long x, const gmp_float<D2>& y)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (x < 0)
{
mpf_add_ui(a.data(), y.data(), static_cast<local_uint_type>(-x));
mpf_neg(a.data(), a.data());
}
else
mpf_ui_sub(a.data(), static_cast<local_uint_type>(x), y.data());
}
template <unsigned D1, unsigned D2, unsigned D3>
inline void eval_multiply(gmp_float<D1>& a, const gmp_float<D2>& x, const gmp_float<D3>& y)
{
mpf_mul(a.data(), x.data(), y.data());
}
template <unsigned D1, unsigned D2>
inline void eval_multiply(gmp_float<D1>& a, const gmp_float<D2>& x, unsigned long y)
{
mpf_mul_ui(a.data(), x.data(), y);
}
template <unsigned D1, unsigned D2>
inline void eval_multiply(gmp_float<D1>& a, const gmp_float<D2>& x, long y)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (y < 0)
{
mpf_mul_ui(a.data(), x.data(), static_cast<local_uint_type>(-y));
a.negate();
}
else
mpf_mul_ui(a.data(), x.data(), static_cast<local_uint_type>(y));
}
template <unsigned D1, unsigned D2>
inline void eval_multiply(gmp_float<D1>& a, unsigned long x, const gmp_float<D2>& y)
{
mpf_mul_ui(a.data(), y.data(), x);
}
template <unsigned D1, unsigned D2>
inline void eval_multiply(gmp_float<D1>& a, long x, const gmp_float<D2>& y)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (x < 0)
{
mpf_mul_ui(a.data(), y.data(), static_cast<local_uint_type>(-x));
mpf_neg(a.data(), a.data());
}
else
mpf_mul_ui(a.data(), y.data(), static_cast<local_uint_type>(x));
}
template <unsigned D1, unsigned D2, unsigned D3>
inline void eval_divide(gmp_float<D1>& a, const gmp_float<D2>& x, const gmp_float<D3>& y)
{
if (eval_is_zero(y))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpf_div(a.data(), x.data(), y.data());
}
template <unsigned D1, unsigned D2>
inline void eval_divide(gmp_float<D1>& a, const gmp_float<D2>& x, unsigned long y)
{
if (y == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpf_div_ui(a.data(), x.data(), y);
}
template <unsigned D1, unsigned D2>
inline void eval_divide(gmp_float<D1>& a, const gmp_float<D2>& x, long y)
{
if (y == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (y < 0)
{
mpf_div_ui(a.data(), x.data(), static_cast<local_uint_type>(-y));
a.negate();
}
else
mpf_div_ui(a.data(), x.data(), static_cast<local_uint_type>(y));
}
template <unsigned D1, unsigned D2>
inline void eval_divide(gmp_float<D1>& a, unsigned long x, const gmp_float<D2>& y)
{
if (eval_is_zero(y))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpf_ui_div(a.data(), x, y.data());
}
template <unsigned D1, unsigned D2>
inline void eval_divide(gmp_float<D1>& a, long x, const gmp_float<D2>& y)
{
if (eval_is_zero(y))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
if (x < 0)
{
mpf_ui_div(a.data(), boost::multiprecision::detail::unsigned_abs(x), y.data());
mpf_neg(a.data(), a.data());
}
else
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
mpf_ui_div(a.data(), static_cast<local_uint_type>(x), y.data());
}
}
template <unsigned digits10>
inline int eval_get_sign(const gmp_float<digits10>& val) noexcept
{
return mpf_sgn(val.data());
}
template <unsigned digits10>
inline void eval_convert_to(unsigned long* result, const gmp_float<digits10>& val) noexcept
{
if (0 == mpf_fits_ulong_p(val.data()))
*result = (std::numeric_limits<unsigned long>::max)();
else
*result = static_cast<unsigned long>(mpf_get_ui(val.data()));
}
template <unsigned digits10>
inline void eval_convert_to(long* result, const gmp_float<digits10>& val) noexcept
{
if (0 == mpf_fits_slong_p(val.data()))
{
*result = (std::numeric_limits<long>::max)();
*result *= mpf_sgn(val.data());
}
else
*result = static_cast<long>(mpf_get_si(val.data()));
}
#ifdef BOOST_MP_STANDALONE
template <unsigned digits10>
inline void eval_convert_to(long double* result, const gmp_float<digits10>& val) noexcept
{
mp_exp_t exp = 0;
detail::gmp_char_ptr val_char_ptr {mpf_get_str(nullptr, &exp, 10, LDBL_DIG, val.data())};
auto temp_string = std::string(val_char_ptr.get());
if(exp > 0 && static_cast<std::size_t>(exp) < temp_string.size())
{
if(temp_string.front() == '-')
{
++exp;
}
temp_string.insert(static_cast<std::size_t>(exp), static_cast<std::size_t>(1u), '.');
}
*result = std::strtold(temp_string.c_str(), nullptr);
if((temp_string.size() == 2ul && *result < 0.0l) ||
(static_cast<std::size_t>(exp) > temp_string.size()))
{
*result *= std::pow(10l, exp-1);
}
}
#endif // BOOST_MP_STANDALONE
template <unsigned digits10>
inline void eval_convert_to(double* result, const gmp_float<digits10>& val) noexcept
{
*result = mpf_get_d(val.data());
}
#ifdef BOOST_HAS_LONG_LONG
template <unsigned digits10>
inline void eval_convert_to(long long* result, const gmp_float<digits10>& val)
{
gmp_float<digits10> t(val);
if (eval_get_sign(t) < 0)
t.negate();
long digits = std::numeric_limits<long long>::digits - std::numeric_limits<long>::digits;
if (digits > 0)
mpf_div_2exp(t.data(), t.data(), digits);
if (!mpf_fits_slong_p(t.data()))
{
if (eval_get_sign(val) < 0)
*result = (std::numeric_limits<long long>::min)();
else
*result = (std::numeric_limits<long long>::max)();
return;
};
*result = mpf_get_si(t.data());
while (digits > 0)
{
*result <<= digits;
digits -= std::numeric_limits<unsigned long>::digits;
mpf_mul_2exp(t.data(), t.data(), digits >= 0 ? std::numeric_limits<unsigned long>::digits : std::numeric_limits<unsigned long>::digits + digits);
unsigned long l = static_cast<unsigned long>(mpf_get_ui(t.data()));
if (digits < 0)
l >>= -digits;
*result |= l;
}
if (eval_get_sign(val) < 0)
*result = -*result;
}
template <unsigned digits10>
inline void eval_convert_to(unsigned long long* result, const gmp_float<digits10>& val)
{
gmp_float<digits10> t(val);
long digits = std::numeric_limits<long long>::digits - std::numeric_limits<long>::digits;
if (digits > 0)
mpf_div_2exp(t.data(), t.data(), digits);
if (!mpf_fits_ulong_p(t.data()))
{
*result = (std::numeric_limits<long long>::max)();
return;
}
*result = mpf_get_ui(t.data());
while (digits > 0)
{
*result <<= digits;
digits -= std::numeric_limits<unsigned long>::digits;
mpf_mul_2exp(t.data(), t.data(), digits >= 0 ? std::numeric_limits<unsigned long>::digits : std::numeric_limits<unsigned long>::digits + digits);
unsigned long l = static_cast<unsigned long>(mpf_get_ui(t.data()));
if (digits < 0)
l >>= -digits;
*result |= l;
}
}
#endif
#ifdef BOOST_HAS_FLOAT128
template <unsigned digits10>
inline void eval_convert_to(float128_type* result, const gmp_float<digits10>& val)
{
*result = float128_procs::strtoflt128(val.str(0, std::ios_base::scientific).c_str(), nullptr);
}
#endif
//
// Native non-member operations:
//
template <unsigned Digits10>
inline void eval_sqrt(gmp_float<Digits10>& result, const gmp_float<Digits10>& val)
{
mpf_sqrt(result.data(), val.data());
}
template <unsigned Digits10>
inline void eval_abs(gmp_float<Digits10>& result, const gmp_float<Digits10>& val)
{
mpf_abs(result.data(), val.data());
}
template <unsigned Digits10>
inline void eval_fabs(gmp_float<Digits10>& result, const gmp_float<Digits10>& val)
{
mpf_abs(result.data(), val.data());
}
template <unsigned Digits10>
inline void eval_ceil(gmp_float<Digits10>& result, const gmp_float<Digits10>& val)
{
mpf_ceil(result.data(), val.data());
}
template <unsigned Digits10>
inline void eval_floor(gmp_float<Digits10>& result, const gmp_float<Digits10>& val)
{
mpf_floor(result.data(), val.data());
}
template <unsigned Digits10>
inline void eval_trunc(gmp_float<Digits10>& result, const gmp_float<Digits10>& val)
{
mpf_trunc(result.data(), val.data());
}
template <unsigned Digits10>
inline void eval_ldexp(gmp_float<Digits10>& result, const gmp_float<Digits10>& val, long e)
{
if (e > 0)
mpf_mul_2exp(result.data(), val.data(), static_cast<mp_bitcnt_t>(e));
else if (e < 0)
mpf_div_2exp(result.data(), val.data(), static_cast<mp_bitcnt_t>(-e));
else
result = val;
}
template <unsigned Digits10>
inline void eval_frexp(gmp_float<Digits10>& result, const gmp_float<Digits10>& val, int* e)
{
#if (BOOST_MP_MPIR_VERSION >= 20600) && (BOOST_MP_MPIR_VERSION < 30000)
mpir_si v;
mpf_get_d_2exp(&v, val.data());
#else
long v;
mpf_get_d_2exp(&v, val.data());
#endif
*e = static_cast<int>(v);
eval_ldexp(result, val, -v);
}
template <unsigned Digits10>
inline void eval_frexp(gmp_float<Digits10>& result, const gmp_float<Digits10>& val, long* e)
{
#if (BOOST_MP_MPIR_VERSION >= 20600) && (BOOST_MP_MPIR_VERSION < 30000)
mpir_si v;
mpf_get_d_2exp(&v, val.data());
*e = v;
eval_ldexp(result, val, -v);
#else
mpf_get_d_2exp(e, val.data());
eval_ldexp(result, val, -*e);
#endif
}
template <unsigned Digits10>
inline std::size_t hash_value(const gmp_float<Digits10>& val)
{
std::size_t result = 0;
for (int i = 0; i < std::abs(val.data()[0]._mp_size); ++i)
boost::multiprecision::detail::hash_combine(result, val.data()[0]._mp_d[i]);
boost::multiprecision::detail::hash_combine(result, val.data()[0]._mp_exp, val.data()[0]._mp_size);
return result;
}
struct gmp_int
{
#ifdef BOOST_HAS_LONG_LONG
using signed_types = std::tuple<long, long long> ;
using unsigned_types = std::tuple<unsigned long, unsigned long long>;
#else
using signed_types = std::tuple<long> ;
using unsigned_types = std::tuple<unsigned long>;
#endif
using float_types = std::tuple<double, long double>;
gmp_int()
{
mpz_init(this->m_data);
}
gmp_int(const gmp_int& o)
{
if (o.m_data[0]._mp_d)
mpz_init_set(m_data, o.m_data);
else
mpz_init(this->m_data);
}
// rvalue
gmp_int(gmp_int&& o) noexcept
{
m_data[0] = o.m_data[0];
o.m_data[0]._mp_d = nullptr;
}
explicit gmp_int(const mpf_t val)
{
mpz_init(this->m_data);
mpz_set_f(this->m_data, val);
}
gmp_int(const mpz_t val)
{
mpz_init_set(this->m_data, val);
}
gmp_int(long i)
{
mpz_init_set_si(this->m_data, i);
}
gmp_int(unsigned long i)
{
mpz_init_set_ui(this->m_data, i);
}
explicit gmp_int(const mpq_t val)
{
mpz_init(this->m_data);
mpz_set_q(this->m_data, val);
}
template <unsigned Digits10>
explicit gmp_int(const gmp_float<Digits10>& o)
{
mpz_init(this->m_data);
mpz_set_f(this->m_data, o.data());
}
explicit gmp_int(const gmp_rational& o);
gmp_int& operator=(const gmp_int& o)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set(m_data, o.m_data);
return *this;
}
// rvalue copy
gmp_int& operator=(gmp_int&& o) noexcept
{
mpz_swap(m_data, o.m_data);
return *this;
}
#ifdef BOOST_HAS_LONG_LONG
#if defined(ULLONG_MAX) && (ULLONG_MAX == ULONG_MAX)
gmp_int& operator=(unsigned long long i)
{
*this = static_cast<unsigned long>(i);
return *this;
}
#else
gmp_int& operator=(unsigned long long i)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
unsigned long long mask = ((((1uLL << (std::numeric_limits<unsigned long>::digits - 1)) - 1) << 1) | 1uLL);
unsigned shift = 0;
mpz_t t;
mpz_set_ui(m_data, 0);
mpz_init_set_ui(t, 0);
while (i)
{
mpz_set_ui(t, static_cast<unsigned long>(i & mask));
if (shift)
mpz_mul_2exp(t, t, shift);
mpz_add(m_data, m_data, t);
shift += std::numeric_limits<unsigned long>::digits;
i >>= std::numeric_limits<unsigned long>::digits;
}
mpz_clear(t);
return *this;
}
#endif
gmp_int& operator=(long long i)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
bool neg = i < 0;
*this = boost::multiprecision::detail::unsigned_abs(i);
if (neg)
mpz_neg(m_data, m_data);
return *this;
}
#endif
#ifdef BOOST_HAS_INT128
gmp_int& operator=(uint128_type i)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
uint128_type mask = ((((1uLL << (std::numeric_limits<unsigned long>::digits - 1)) - 1) << 1) | 1uLL);
unsigned shift = 0;
mpz_t t;
mpz_set_ui(m_data, 0);
mpz_init_set_ui(t, 0);
while (i)
{
mpz_set_ui(t, static_cast<unsigned long>(i & mask));
if (shift)
mpz_mul_2exp(t, t, shift);
mpz_add(m_data, m_data, t);
shift += std::numeric_limits<unsigned long>::digits;
i >>= std::numeric_limits<unsigned long>::digits;
}
mpz_clear(t);
return *this;
}
gmp_int& operator=(int128_type i)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
bool neg = i < 0;
*this = boost::multiprecision::detail::unsigned_abs(i);
if (neg)
mpz_neg(m_data, m_data);
return *this;
}
#endif
gmp_int& operator=(unsigned long i)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set_ui(m_data, i);
return *this;
}
gmp_int& operator=(long i)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set_si(m_data, i);
return *this;
}
gmp_int& operator=(double d)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set_d(m_data, d);
return *this;
}
template <class F>
gmp_int& assign_float(F a)
{
BOOST_MP_FLOAT128_USING using std::floor; using std::frexp; using std::ldexp;
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
if (a == 0)
{
mpz_set_si(m_data, 0);
return *this;
}
if (a == 1)
{
mpz_set_si(m_data, 1);
return *this;
}
BOOST_MP_ASSERT(!BOOST_MP_ISINF(a));
BOOST_MP_ASSERT(!BOOST_MP_ISNAN(a));
int e;
F f, term;
mpz_set_ui(m_data, 0u);
f = frexp(a, &e);
constexpr int shift = std::numeric_limits<int>::digits - 1;
while (f != static_cast<F>(0.0f))
{
// extract int sized bits from f:
f = ldexp(f, shift);
term = floor(f);
e -= shift;
mpz_mul_2exp(m_data, m_data, shift);
if (term > 0)
mpz_add_ui(m_data, m_data, static_cast<unsigned>(term));
else
mpz_sub_ui(m_data, m_data, static_cast<unsigned>(-term));
f -= term;
}
if (e > 0)
mpz_mul_2exp(m_data, m_data, static_cast<mp_bitcnt_t>(e));
else if (e < 0)
mpz_div_2exp(m_data, m_data, static_cast<mp_bitcnt_t>(-e));
return *this;
}
gmp_int& operator=(long double a)
{
return assign_float(a);
}
gmp_int& operator=(const char* s)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
std::size_t n = s ? std::strlen(s) : 0;
int radix = 10;
if (n && (*s == '0'))
{
if ((n > 1) && ((s[1] == 'x') || (s[1] == 'X')))
{
radix = 16;
s += 2;
n -= 2;
}
else
{
radix = 8;
n -= 1;
}
}
if (n)
{
if (0 != mpz_set_str(m_data, s, radix))
BOOST_MP_THROW_EXCEPTION(std::runtime_error(std::string("The string \"") + s + std::string("\"could not be interpreted as a valid integer.")));
}
else
mpz_set_ui(m_data, 0);
return *this;
}
#ifdef BOOST_HAS_FLOAT128
gmp_int& operator=(float128_type a)
{
return assign_float(a);
}
#endif
gmp_int& operator=(const mpf_t val)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set_f(this->m_data, val);
return *this;
}
gmp_int& operator=(const mpz_t val)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set(this->m_data, val);
return *this;
}
gmp_int& operator=(const mpq_t val)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set_q(this->m_data, val);
return *this;
}
template <unsigned Digits10>
gmp_int& operator=(const gmp_float<Digits10>& o)
{
if (m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set_f(this->m_data, o.data());
return *this;
}
gmp_int& operator=(const gmp_rational& o);
void swap(gmp_int& o)
{
mpz_swap(m_data, o.m_data);
}
std::string str(std::streamsize /*digits*/, std::ios_base::fmtflags f) const
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
int base = 10;
if ((f & std::ios_base::oct) == std::ios_base::oct)
base = 8;
else if ((f & std::ios_base::hex) == std::ios_base::hex)
base = 16;
//
// sanity check, bases 8 and 16 are only available for positive numbers:
//
if ((base != 10) && (mpz_sgn(m_data) < 0))
BOOST_MP_THROW_EXCEPTION(std::runtime_error("Formatted output in bases 8 or 16 is only available for positive numbers"));
void* (*alloc_func_ptr)(size_t);
void* (*realloc_func_ptr)(void*, size_t, size_t);
void (*free_func_ptr)(void*, size_t);
const char* ps = mpz_get_str(nullptr, base, m_data);
std::string s = ps;
mp_get_memory_functions(&alloc_func_ptr, &realloc_func_ptr, &free_func_ptr);
(*free_func_ptr)((void*)ps, std::strlen(ps) + 1);
if (f & std::ios_base::uppercase)
for (size_t i = 0; i < s.length(); ++i)
s[i] = static_cast<char>(std::toupper(s[i]));
if ((base != 10) && (f & std::ios_base::showbase))
{
int pos = s[0] == '-' ? 1 : 0;
const char* pp = base == 8 ? "0" : (f & std::ios_base::uppercase) ? "0X" : "0x";
s.insert(static_cast<std::string::size_type>(pos), pp);
}
if ((f & std::ios_base::showpos) && (s[0] != '-'))
s.insert(static_cast<std::string::size_type>(0), 1, '+');
return s;
}
~gmp_int() noexcept
{
if (m_data[0]._mp_d)
mpz_clear(m_data);
}
void negate() noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
mpz_neg(m_data, m_data);
}
int compare(const gmp_int& o) const noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d && o.m_data[0]._mp_d);
return mpz_cmp(m_data, o.m_data);
}
int compare(long i) const noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
return mpz_cmp_si(m_data, i);
}
int compare(unsigned long i) const noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
return mpz_cmp_ui(m_data, i);
}
template <class V>
int compare(V v) const
{
gmp_int d;
d = v;
return compare(d);
}
mpz_t& data() noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
return m_data;
}
const mpz_t& data() const noexcept
{
BOOST_MP_ASSERT(m_data[0]._mp_d);
return m_data;
}
protected:
mpz_t m_data;
};
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_arithmetic<T>::value, bool>::type eval_eq(const gmp_int& a, const T& b)
{
return a.compare(b) == 0;
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_arithmetic<T>::value, bool>::type eval_lt(const gmp_int& a, const T& b)
{
return a.compare(b) < 0;
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_arithmetic<T>::value, bool>::type eval_gt(const gmp_int& a, const T& b)
{
return a.compare(b) > 0;
}
inline bool eval_is_zero(const gmp_int& val)
{
return mpz_sgn(val.data()) == 0;
}
inline void eval_add(gmp_int& t, const gmp_int& o)
{
mpz_add(t.data(), t.data(), o.data());
}
inline void eval_multiply_add(gmp_int& t, const gmp_int& a, const gmp_int& b)
{
mpz_addmul(t.data(), a.data(), b.data());
}
inline void eval_multiply_subtract(gmp_int& t, const gmp_int& a, const gmp_int& b)
{
mpz_submul(t.data(), a.data(), b.data());
}
inline void eval_subtract(gmp_int& t, const gmp_int& o)
{
mpz_sub(t.data(), t.data(), o.data());
}
inline void eval_multiply(gmp_int& t, const gmp_int& o)
{
mpz_mul(t.data(), t.data(), o.data());
}
inline void eval_divide(gmp_int& t, const gmp_int& o)
{
if (eval_is_zero(o))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_tdiv_q(t.data(), t.data(), o.data());
}
inline void eval_modulus(gmp_int& t, const gmp_int& o)
{
mpz_tdiv_r(t.data(), t.data(), o.data());
}
inline void eval_add(gmp_int& t, unsigned long i)
{
mpz_add_ui(t.data(), t.data(), i);
}
inline void eval_multiply_add(gmp_int& t, const gmp_int& a, unsigned long i)
{
mpz_addmul_ui(t.data(), a.data(), i);
}
inline void eval_multiply_subtract(gmp_int& t, const gmp_int& a, unsigned long i)
{
mpz_submul_ui(t.data(), a.data(), i);
}
inline void eval_subtract(gmp_int& t, unsigned long i)
{
mpz_sub_ui(t.data(), t.data(), i);
}
inline void eval_multiply(gmp_int& t, unsigned long i)
{
mpz_mul_ui(t.data(), t.data(), i);
}
inline void eval_modulus(gmp_int& t, unsigned long i)
{
mpz_tdiv_r_ui(t.data(), t.data(), i);
}
inline void eval_divide(gmp_int& t, unsigned long i)
{
if (i == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_tdiv_q_ui(t.data(), t.data(), i);
}
inline void eval_add(gmp_int& t, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (i > 0)
mpz_add_ui(t.data(), t.data(), static_cast<local_uint_type>(i));
else if (i < 0)
mpz_sub_ui(t.data(), t.data(), static_cast<local_uint_type>(-i));
}
inline void eval_multiply_add(gmp_int& t, const gmp_int& a, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (i > 0)
mpz_addmul_ui(t.data(), a.data(), static_cast<local_uint_type>(i));
else
mpz_submul_ui(t.data(), a.data(), static_cast<local_uint_type>(-i));
}
inline void eval_multiply_subtract(gmp_int& t, const gmp_int& a, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (i > 0)
mpz_submul_ui(t.data(), a.data(), static_cast<local_uint_type>(i));
else
mpz_addmul_ui(t.data(), a.data(), static_cast<local_uint_type>(-i));
}
inline void eval_subtract(gmp_int& t, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (i > 0)
mpz_sub_ui(t.data(), t.data(), static_cast<local_uint_type>(i));
else if (i < 0)
mpz_add_ui(t.data(), t.data(), static_cast<local_uint_type>(-i));
}
inline void eval_multiply(gmp_int& t, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
mpz_mul_ui(t.data(), t.data(), static_cast<local_uint_type>(boost::multiprecision::detail::unsigned_abs(i)));
if (i < 0)
mpz_neg(t.data(), t.data());
}
inline void eval_modulus(gmp_int& t, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
mpz_tdiv_r_ui(t.data(), t.data(), static_cast<local_uint_type>(boost::multiprecision::detail::unsigned_abs(i)));
}
inline void eval_divide(gmp_int& t, long i)
{
if (i == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
mpz_tdiv_q_ui(t.data(), t.data(), static_cast<local_uint_type>(boost::multiprecision::detail::unsigned_abs(i)));
if (i < 0)
mpz_neg(t.data(), t.data());
}
template <class UI>
inline void eval_left_shift(gmp_int& t, UI i)
{
mpz_mul_2exp(t.data(), t.data(), static_cast<unsigned long>(i));
}
template <class UI>
inline void eval_right_shift(gmp_int& t, UI i)
{
mpz_fdiv_q_2exp(t.data(), t.data(), static_cast<unsigned long>(i));
}
template <class UI>
inline void eval_left_shift(gmp_int& t, const gmp_int& v, UI i)
{
mpz_mul_2exp(t.data(), v.data(), static_cast<unsigned long>(i));
}
template <class UI>
inline void eval_right_shift(gmp_int& t, const gmp_int& v, UI i)
{
mpz_fdiv_q_2exp(t.data(), v.data(), static_cast<unsigned long>(i));
}
inline void eval_bitwise_and(gmp_int& result, const gmp_int& v)
{
mpz_and(result.data(), result.data(), v.data());
}
inline void eval_bitwise_or(gmp_int& result, const gmp_int& v)
{
mpz_ior(result.data(), result.data(), v.data());
}
inline void eval_bitwise_xor(gmp_int& result, const gmp_int& v)
{
mpz_xor(result.data(), result.data(), v.data());
}
inline void eval_add(gmp_int& t, const gmp_int& p, const gmp_int& o)
{
mpz_add(t.data(), p.data(), o.data());
}
inline void eval_subtract(gmp_int& t, const gmp_int& p, const gmp_int& o)
{
mpz_sub(t.data(), p.data(), o.data());
}
inline void eval_multiply(gmp_int& t, const gmp_int& p, const gmp_int& o)
{
mpz_mul(t.data(), p.data(), o.data());
}
inline void eval_divide(gmp_int& t, const gmp_int& p, const gmp_int& o)
{
if (eval_is_zero(o))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_tdiv_q(t.data(), p.data(), o.data());
}
inline void eval_modulus(gmp_int& t, const gmp_int& p, const gmp_int& o)
{
mpz_tdiv_r(t.data(), p.data(), o.data());
}
inline void eval_add(gmp_int& t, const gmp_int& p, unsigned long i)
{
mpz_add_ui(t.data(), p.data(), i);
}
inline void eval_subtract(gmp_int& t, const gmp_int& p, unsigned long i)
{
mpz_sub_ui(t.data(), p.data(), i);
}
inline void eval_multiply(gmp_int& t, const gmp_int& p, unsigned long i)
{
mpz_mul_ui(t.data(), p.data(), i);
}
inline void eval_modulus(gmp_int& t, const gmp_int& p, unsigned long i)
{
mpz_tdiv_r_ui(t.data(), p.data(), i);
}
inline void eval_divide(gmp_int& t, const gmp_int& p, unsigned long i)
{
if (i == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_tdiv_q_ui(t.data(), p.data(), i);
}
inline void eval_add(gmp_int& t, const gmp_int& p, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (i > 0)
mpz_add_ui(t.data(), p.data(), static_cast<local_uint_type>(i));
else
mpz_sub_ui(t.data(), p.data(), static_cast<local_uint_type>(-i));
}
inline void eval_subtract(gmp_int& t, const gmp_int& p, long i)
{
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (i > 0)
mpz_sub_ui(t.data(), p.data(), static_cast<local_uint_type>(i));
else
mpz_add_ui(t.data(), p.data(), static_cast<local_uint_type>(-i));
}
inline void eval_multiply(gmp_int& t, const gmp_int& p, long i)
{
mpz_mul_ui(t.data(), p.data(), boost::multiprecision::detail::unsigned_abs(i));
if (i < 0)
mpz_neg(t.data(), t.data());
}
inline void eval_modulus(gmp_int& t, const gmp_int& p, long i)
{
mpz_tdiv_r_ui(t.data(), p.data(), boost::multiprecision::detail::unsigned_abs(i));
}
inline void eval_divide(gmp_int& t, const gmp_int& p, long i)
{
if (i == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_tdiv_q_ui(t.data(), p.data(), boost::multiprecision::detail::unsigned_abs(i));
if (i < 0)
mpz_neg(t.data(), t.data());
}
inline void eval_bitwise_and(gmp_int& result, const gmp_int& u, const gmp_int& v)
{
mpz_and(result.data(), u.data(), v.data());
}
inline void eval_bitwise_or(gmp_int& result, const gmp_int& u, const gmp_int& v)
{
mpz_ior(result.data(), u.data(), v.data());
}
inline void eval_bitwise_xor(gmp_int& result, const gmp_int& u, const gmp_int& v)
{
mpz_xor(result.data(), u.data(), v.data());
}
inline void eval_complement(gmp_int& result, const gmp_int& u)
{
mpz_com(result.data(), u.data());
}
inline int eval_get_sign(const gmp_int& val)
{
return mpz_sgn(val.data());
}
inline void eval_convert_to(unsigned long* result, const gmp_int& val)
{
if (mpz_sgn(val.data()) < 0)
{
BOOST_MP_THROW_EXCEPTION(std::range_error("Conversion from negative integer to an unsigned type results in undefined behaviour"));
}
else
*result = static_cast<unsigned long>(mpz_get_ui(val.data()));
}
inline void eval_convert_to(long* result, const gmp_int& val)
{
if (0 == mpz_fits_slong_p(val.data()))
{
*result = mpz_sgn(val.data()) < 0 ? (std::numeric_limits<long>::min)() : (std::numeric_limits<long>::max)();
}
else
*result = static_cast<long>(mpz_get_si(val.data()));
}
inline void eval_convert_to(long double* result, const gmp_int& val)
{
detail::gmp_char_ptr val_char_ptr {mpz_get_str(nullptr, 10, val.data())};
*result = std::strtold(val_char_ptr.get(), nullptr);
}
inline void eval_convert_to(double* result, const gmp_int& val)
{
*result = mpz_get_d(val.data());
}
#ifdef BOOST_HAS_LONG_LONG
inline void eval_convert_to(unsigned long long* result, const gmp_int& val)
{
if (mpz_sgn(val.data()) < 0)
{
BOOST_MP_THROW_EXCEPTION(std::range_error("Conversion from negative integer to an unsigned type results in undefined behaviour"));
}
*result = 0;
gmp_int t(val);
unsigned parts = sizeof(unsigned long long) / sizeof(unsigned long);
for (unsigned i = 0; i < parts; ++i)
{
unsigned long long part = mpz_get_ui(t.data());
if (i)
*result |= part << (i * sizeof(unsigned long) * CHAR_BIT);
else
*result = part;
mpz_tdiv_q_2exp(t.data(), t.data(), sizeof(unsigned long) * CHAR_BIT);
}
}
inline void eval_convert_to(long long* result, const gmp_int& val)
{
int s = mpz_sgn(val.data());
*result = 0;
gmp_int t(val);
unsigned parts = sizeof(unsigned long long) / sizeof(unsigned long);
unsigned long long unsigned_result = 0;
for (unsigned i = 0; i < parts; ++i)
{
unsigned long long part = mpz_get_ui(t.data());
if (i)
unsigned_result |= part << (i * sizeof(unsigned long) * CHAR_BIT);
else
unsigned_result = part;
mpz_tdiv_q_2exp(t.data(), t.data(), sizeof(unsigned long) * CHAR_BIT);
}
//
// Overflow check:
//
bool overflow = false;
if (mpz_sgn(t.data()))
{
overflow = true;
}
if ((s > 0) && (unsigned_result > static_cast<unsigned long long>((std::numeric_limits<long long>::max)())))
overflow = true;
if((s < 0) && (unsigned_result > 1u - static_cast<unsigned long long>((std::numeric_limits<long long>::min)() + 1)))
overflow = true;
if(overflow)
*result = s < 0 ? (std::numeric_limits<long long>::min)() : (std::numeric_limits<long long>::max)();
else
*result = s < 0 ? -static_cast<long long>(unsigned_result - 1u) - 1 : static_cast<long long>(unsigned_result);
}
#endif
#ifdef BOOST_HAS_INT128
inline void eval_convert_to(uint128_type* result, const gmp_int& val)
{
if (mpz_sgn(val.data()) < 0)
{
BOOST_MP_THROW_EXCEPTION(std::range_error("Conversion from negative integer to an unsigned type results in undefined behaviour"));
}
*result = 0;
gmp_int t(val);
unsigned parts = sizeof(uint128_type) / sizeof(unsigned long);
for (unsigned i = 0; i < parts; ++i)
{
uint128_type part = mpz_get_ui(t.data());
if (i)
*result |= part << (i * sizeof(unsigned long) * CHAR_BIT);
else
*result = part;
mpz_tdiv_q_2exp(t.data(), t.data(), sizeof(unsigned long) * CHAR_BIT);
}
}
inline void eval_convert_to(int128_type* result, const gmp_int& val)
{
int s = mpz_sgn(val.data());
*result = 0;
gmp_int t(val);
unsigned parts = sizeof(uint128_type) / sizeof(unsigned long);
uint128_type unsigned_result = 0;
for (unsigned i = 0; i < parts; ++i)
{
uint128_type part = mpz_get_ui(t.data());
if (i)
unsigned_result |= part << (i * sizeof(unsigned long) * CHAR_BIT);
else
unsigned_result = part;
mpz_tdiv_q_2exp(t.data(), t.data(), sizeof(unsigned long) * CHAR_BIT);
}
//
// Overflow check:
//
constexpr int128_type int128_max = static_cast<int128_type>((static_cast<uint128_type>(1u) << 127) - 1);
constexpr int128_type int128_min = static_cast<int128_type>(static_cast<int128_type>(-int128_max) -1);
bool overflow = false;
if (mpz_sgn(t.data()))
{
overflow = true;
}
if ((s > 0) && (unsigned_result > static_cast<uint128_type>(int128_max)))
overflow = true;
if ((s < 0) && (unsigned_result > 1u - static_cast<uint128_type>(int128_min + 1)))
overflow = true;
if (overflow)
*result = s < 0 ? int128_min : int128_max;
else
*result = s < 0 ? -static_cast<int128_type>(unsigned_result - 1u) - 1 : static_cast<int128_type>(unsigned_result);
}
template <unsigned digits10>
inline void eval_convert_to(int128_type* result, const gmp_float<digits10>& val)
{
gmp_int i;
mpz_set_f(i.data(), val.data());
eval_convert_to(result, i);
}
template <unsigned digits10>
inline void eval_convert_to(uint128_type* result, const gmp_float<digits10>& val)
{
gmp_int i;
mpz_set_f(i.data(), val.data());
eval_convert_to(result, i);
}
#endif
#ifdef BOOST_HAS_FLOAT128
inline void eval_convert_to(float128_type* result, const gmp_int& val)
{
*result = float128_procs::strtoflt128(val.str(0, std::ios_base::fixed).c_str(), nullptr);
}
#endif
inline void eval_abs(gmp_int& result, const gmp_int& val)
{
mpz_abs(result.data(), val.data());
}
inline void eval_gcd(gmp_int& result, const gmp_int& a, const gmp_int& b)
{
mpz_gcd(result.data(), a.data(), b.data());
}
inline void eval_lcm(gmp_int& result, const gmp_int& a, const gmp_int& b)
{
mpz_lcm(result.data(), a.data(), b.data());
}
template <class I>
inline typename std::enable_if<(boost::multiprecision::detail::is_unsigned<I>::value && (sizeof(I) <= sizeof(unsigned long)))>::type eval_gcd(gmp_int& result, const gmp_int& a, const I b)
{
mpz_gcd_ui(result.data(), a.data(), b);
}
template <class I>
inline typename std::enable_if<(boost::multiprecision::detail::is_unsigned<I>::value && (sizeof(I) <= sizeof(unsigned long)))>::type eval_lcm(gmp_int& result, const gmp_int& a, const I b)
{
mpz_lcm_ui(result.data(), a.data(), b);
}
template <class I>
inline typename std::enable_if<(boost::multiprecision::detail::is_signed<I>::value && boost::multiprecision::detail::is_integral<I>::value && (sizeof(I) <= sizeof(long)))>::type eval_gcd(gmp_int& result, const gmp_int& a, const I b)
{
mpz_gcd_ui(result.data(), a.data(), boost::multiprecision::detail::unsigned_abs(b));
}
template <class I>
inline typename std::enable_if<boost::multiprecision::detail::is_signed<I>::value && boost::multiprecision::detail::is_integral<I>::value && ((sizeof(I) <= sizeof(long)))>::type eval_lcm(gmp_int& result, const gmp_int& a, const I b)
{
mpz_lcm_ui(result.data(), a.data(), boost::multiprecision::detail::unsigned_abs(b));
}
inline void eval_integer_sqrt(gmp_int& s, gmp_int& r, const gmp_int& x)
{
mpz_sqrtrem(s.data(), r.data(), x.data());
}
inline std::size_t eval_lsb(const gmp_int& val)
{
int c = eval_get_sign(val);
if (c == 0)
{
BOOST_MP_THROW_EXCEPTION(std::domain_error("No bits were set in the operand."));
}
if (c < 0)
{
BOOST_MP_THROW_EXCEPTION(std::domain_error("Testing individual bits in negative values is not supported - results are undefined."));
}
return static_cast<unsigned>(mpz_scan1(val.data(), 0));
}
inline std::size_t eval_msb(const gmp_int& val)
{
int c = eval_get_sign(val);
if (c == 0)
{
BOOST_MP_THROW_EXCEPTION(std::domain_error("No bits were set in the operand."));
}
if (c < 0)
{
BOOST_MP_THROW_EXCEPTION(std::domain_error("Testing individual bits in negative values is not supported - results are undefined."));
}
return static_cast<unsigned>(mpz_sizeinbase(val.data(), 2) - 1);
}
inline bool eval_bit_test(const gmp_int& val, std::size_t index)
{
return mpz_tstbit(val.data(), index) ? true : false;
}
inline void eval_bit_set(gmp_int& val, std::size_t index)
{
mpz_setbit(val.data(), index);
}
inline void eval_bit_unset(gmp_int& val, std::size_t index)
{
mpz_clrbit(val.data(), index);
}
inline void eval_bit_flip(gmp_int& val, std::size_t index)
{
mpz_combit(val.data(), index);
}
inline void eval_qr(const gmp_int& x, const gmp_int& y,
gmp_int& q, gmp_int& r)
{
mpz_tdiv_qr(q.data(), r.data(), x.data(), y.data());
}
template <class Integer>
inline typename std::enable_if<boost::multiprecision::detail::is_unsigned<Integer>::value, Integer>::type eval_integer_modulus(const gmp_int& x, Integer val)
{
#if defined(__MPIR_VERSION) && (__MPIR_VERSION >= 3)
if ((sizeof(Integer) <= sizeof(mpir_ui)) || (val <= (std::numeric_limits<mpir_ui>::max)()))
#else
if ((sizeof(Integer) <= sizeof(long)) || (val <= (std::numeric_limits<unsigned long>::max)()))
#endif
{
return static_cast<Integer>(mpz_tdiv_ui(x.data(), val));
}
else
{
return default_ops::eval_integer_modulus(x, val);
}
}
template <class Integer>
inline typename std::enable_if<boost::multiprecision::detail::is_signed<Integer>::value && boost::multiprecision::detail::is_integral<Integer>::value, Integer>::type eval_integer_modulus(const gmp_int& x, Integer val)
{
return eval_integer_modulus(x, boost::multiprecision::detail::unsigned_abs(val));
}
inline void eval_powm(gmp_int& result, const gmp_int& base, const gmp_int& p, const gmp_int& m)
{
if (eval_get_sign(p) < 0)
{
BOOST_MP_THROW_EXCEPTION(std::runtime_error("powm requires a positive exponent."));
}
mpz_powm(result.data(), base.data(), p.data(), m.data());
}
template <class Integer>
inline typename std::enable_if<
boost::multiprecision::detail::is_unsigned<Integer>::value && (sizeof(Integer) <= sizeof(unsigned long))>::type
eval_powm(gmp_int& result, const gmp_int& base, Integer p, const gmp_int& m)
{
mpz_powm_ui(result.data(), base.data(), p, m.data());
}
template <class Integer>
inline typename std::enable_if<boost::multiprecision::detail::is_signed<Integer>::value && boost::multiprecision::detail::is_integral<Integer>::value && (sizeof(Integer) <= sizeof(unsigned long))>::type
eval_powm(gmp_int& result, const gmp_int& base, Integer p, const gmp_int& m)
{
if (p < 0)
{
BOOST_MP_THROW_EXCEPTION(std::runtime_error("powm requires a positive exponent."));
}
mpz_powm_ui(result.data(), base.data(), p, m.data());
}
inline std::size_t hash_value(const gmp_int& val)
{
// We should really use mpz_limbs_read here, but that's unsupported on older versions:
std::size_t result = 0;
for (int i = 0; i < std::abs(val.data()[0]._mp_size); ++i)
boost::multiprecision::detail::hash_combine(result, val.data()[0]._mp_d[i]);
boost::multiprecision::detail::hash_combine(result, val.data()[0]._mp_size);
return result;
}
struct gmp_rational;
void eval_add(gmp_rational& t, const gmp_rational& o);
struct gmp_rational
{
#ifdef BOOST_HAS_LONG_LONG
using signed_types = std::tuple<long, long long> ;
using unsigned_types = std::tuple<unsigned long, unsigned long long>;
#else
using signed_types = std::tuple<long> ;
using unsigned_types = std::tuple<unsigned long>;
#endif
using float_types = std::tuple<double, long double>;
gmp_rational()
{
mpq_init(this->m_data);
}
gmp_rational(const gmp_rational& o)
{
mpq_init(m_data);
if (o.m_data[0]._mp_num._mp_d)
mpq_set(m_data, o.m_data);
}
gmp_rational(const gmp_int& o)
{
mpz_init_set(&m_data[0]._mp_num, o.data());
mpz_init_set_ui(&m_data[0]._mp_den, 1u);
}
gmp_rational(long i)
{
mpz_init_set_si(&m_data[0]._mp_num, i);
mpz_init_set_ui(&m_data[0]._mp_den, 1u);
}
gmp_rational(unsigned long ui)
{
mpz_init_set_ui(&m_data[0]._mp_num, ui);
mpz_init_set_ui(&m_data[0]._mp_den, 1u);
}
// 2-arg constructors:
template <class T, class U>
gmp_rational(const T& a, const U& b, typename std::enable_if<std::is_constructible<gmp_int, T>::value && std::is_constructible<gmp_int, U>::value>::type* = nullptr)
{
gmp_int i(a), j(b);
if (eval_is_zero(j))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
m_data[0]._mp_num = i.data()[0];
m_data[0]._mp_den = j.data()[0];
mpq_canonicalize(m_data);
i.data()[0]._mp_d = nullptr;
j.data()[0]._mp_d = nullptr;
}
template <class U>
gmp_rational(const gmp_int& a, const U& b, typename std::enable_if<std::is_constructible<gmp_int, U>::value>::type* = nullptr)
{
gmp_int j(b);
if (eval_is_zero(j))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_init_set(&m_data[0]._mp_num, a.data());
m_data[0]._mp_den = j.data()[0];
if (boost::multiprecision::detail::unsigned_abs(b) > 1)
mpq_canonicalize(m_data);
j.data()[0]._mp_d = nullptr;
}
template <class U>
gmp_rational(gmp_int&& a, const U& b, typename std::enable_if<std::is_constructible<gmp_int, U>::value>::type* = nullptr)
{
gmp_int j(b);
if (eval_is_zero(j))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
m_data[0]._mp_num = a.data()[0];
m_data[0]._mp_den = j.data()[0];
if (boost::multiprecision::detail::unsigned_abs(b) > 1)
mpq_canonicalize(m_data);
a.data()[0]._mp_d = nullptr;
j.data()[0]._mp_d = nullptr;
}
template <class T>
gmp_rational(const T& a, const gmp_int& b, typename std::enable_if<std::is_constructible<gmp_int, T>::value>::type* = nullptr)
{
if (eval_is_zero(b))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
gmp_int i(a);
m_data[0]._mp_num = i.data()[0];
mpz_init_set(&m_data[0]._mp_den, b.data());
if(boost::multiprecision::detail::unsigned_abs(a) > 1)
mpq_canonicalize(m_data);
i.data()[0]._mp_d = nullptr;
}
template <class T>
gmp_rational(const T& a, gmp_int&& b, typename std::enable_if<std::is_constructible<gmp_int, T>::value>::type* = nullptr)
{
if (eval_is_zero(static_cast<gmp_int&&>(b)))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
gmp_int i(a);
m_data[0]._mp_num = i.data()[0];
m_data[0]._mp_den = b.data()[0];
if(boost::multiprecision::detail::unsigned_abs(a) > 1)
mpq_canonicalize(m_data);
i.data()[0]._mp_d = nullptr;
b.data()[0]._mp_d = nullptr;
}
gmp_rational(const gmp_int& a, const gmp_int& b)
{
if (eval_is_zero(b))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_init_set(&m_data[0]._mp_num, a.data());
mpz_init_set(&m_data[0]._mp_den, b.data());
mpq_canonicalize(m_data);
}
gmp_rational(const gmp_int& a, gmp_int&& b)
{
if (eval_is_zero(static_cast<gmp_int&&>(b)))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_init_set(&m_data[0]._mp_num, a.data());
m_data[0]._mp_den = b.data()[0];
mpq_canonicalize(m_data);
b.data()[0]._mp_d = nullptr;
}
gmp_rational(gmp_int&& a, const gmp_int& b)
{
if (eval_is_zero(b))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
m_data[0]._mp_num = a.data()[0];
mpz_init_set(&m_data[0]._mp_den, b.data());
mpq_canonicalize(m_data);
a.data()[0]._mp_d = nullptr;
}
gmp_rational(gmp_int&& a, gmp_int&& b)
{
if (eval_is_zero(static_cast<gmp_int&&>(b)))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
m_data[0]._mp_num = a.data()[0];
m_data[0]._mp_den = b.data()[0];
mpq_canonicalize(m_data);
a.data()[0]._mp_d = nullptr;
b.data()[0]._mp_d = nullptr;
}
// rvalue copy
gmp_rational(gmp_rational&& o) noexcept
{
m_data[0] = o.m_data[0];
o.m_data[0]._mp_num._mp_d = nullptr;
o.m_data[0]._mp_den._mp_d = nullptr;
}
gmp_rational(const mpq_t o)
{
mpq_init(m_data);
mpq_set(m_data, o);
}
gmp_rational(const mpz_t o)
{
mpq_init(m_data);
mpq_set_z(m_data, o);
}
gmp_rational& operator=(const gmp_rational& o)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
mpq_set(m_data, o.m_data);
return *this;
}
// rvalue assign
gmp_rational& operator=(gmp_rational&& o) noexcept
{
mpq_swap(m_data, o.m_data);
return *this;
}
#ifdef BOOST_HAS_LONG_LONG
#if defined(ULLONG_MAX) && (ULLONG_MAX == ULONG_MAX)
gmp_rational& operator=(unsigned long long i)
{
*this = static_cast<unsigned long>(i);
return *this;
}
#else
gmp_rational& operator=(unsigned long long i)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
gmp_int zi;
zi = i;
mpq_set_z(m_data, zi.data());
return *this;
}
gmp_rational& operator=(long long i)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
bool neg = i < 0;
*this = boost::multiprecision::detail::unsigned_abs(i);
if (neg)
mpq_neg(m_data, m_data);
return *this;
}
#endif
#endif
gmp_rational& operator=(unsigned long i)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
mpq_set_ui(m_data, i, 1);
return *this;
}
gmp_rational& operator=(long i)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
mpq_set_si(m_data, i, 1);
return *this;
}
gmp_rational& operator=(double d)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
mpq_set_d(m_data, d);
return *this;
}
template <class F>
gmp_rational& assign_float(F a)
{
using default_ops::eval_add;
using default_ops::eval_subtract;
BOOST_MP_FLOAT128_USING using std::floor; using std::frexp; using std::ldexp;
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
if (a == 0)
{
mpq_set_si(m_data, 0, 1);
return *this;
}
if (a == 1)
{
mpq_set_si(m_data, 1, 1);
return *this;
}
BOOST_MP_ASSERT(!BOOST_MP_ISINF(a));
BOOST_MP_ASSERT(!BOOST_MP_ISNAN(a));
int e;
F f, term;
mpq_set_ui(m_data, 0, 1);
mpq_set_ui(m_data, 0u, 1);
gmp_rational t;
f = frexp(a, &e);
constexpr int shift = std::numeric_limits<int>::digits - 1;
while (f != static_cast<F>(0.0f))
{
// extract int sized bits from f:
f = ldexp(f, shift);
term = floor(f);
e -= shift;
mpq_mul_2exp(m_data, m_data, shift);
t = static_cast<long>(term);
eval_add(*this, t);
f -= term;
}
if (e > 0)
mpq_mul_2exp(m_data, m_data, static_cast<mp_bitcnt_t>(e));
else if (e < 0)
mpq_div_2exp(m_data, m_data, static_cast<mp_bitcnt_t>(-e));
return *this;
}
gmp_rational& operator=(long double a)
{
return assign_float(a);
}
#ifdef BOOST_HAS_FLOAT128
gmp_rational& operator=(float128_type a)
{
return assign_float(a);
}
#endif
#ifdef BOOST_HAS_INT128
gmp_rational& operator=(uint128_type i)
{
gmp_int gi;
gi = i;
return *this = gi;
}
gmp_rational& operator=(int128_type i)
{
gmp_int gi;
gi = i;
return *this = gi;
}
#endif
gmp_rational& operator=(const char* s)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
if (0 != mpq_set_str(m_data, s, 10))
BOOST_MP_THROW_EXCEPTION(std::runtime_error(std::string("The string \"") + s + std::string("\"could not be interpreted as a valid rational number.")));
return *this;
}
gmp_rational& operator=(const gmp_int& o)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
mpq_set_z(m_data, o.data());
return *this;
}
gmp_rational& operator=(const mpq_t o)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
mpq_set(m_data, o);
return *this;
}
gmp_rational& operator=(const mpz_t o)
{
if (m_data[0]._mp_den._mp_d == nullptr)
mpq_init(m_data);
mpq_set_z(m_data, o);
return *this;
}
void swap(gmp_rational& o)
{
mpq_swap(m_data, o.m_data);
}
std::string str(std::streamsize /*digits*/, std::ios_base::fmtflags /*f*/) const
{
BOOST_MP_ASSERT(m_data[0]._mp_num._mp_d);
// TODO make a better job of this including handling of f!!
void* (*alloc_func_ptr)(size_t);
void* (*realloc_func_ptr)(void*, size_t, size_t);
void (*free_func_ptr)(void*, size_t);
const char* ps = mpq_get_str(nullptr, 10, m_data);
std::string s = ps;
mp_get_memory_functions(&alloc_func_ptr, &realloc_func_ptr, &free_func_ptr);
(*free_func_ptr)((void*)ps, std::strlen(ps) + 1);
return s;
}
~gmp_rational()
{
if (m_data[0]._mp_num._mp_d || m_data[0]._mp_den._mp_d)
mpq_clear(m_data);
}
void negate()
{
BOOST_MP_ASSERT(m_data[0]._mp_num._mp_d);
mpq_neg(m_data, m_data);
}
int compare(const gmp_rational& o) const
{
BOOST_MP_ASSERT(m_data[0]._mp_num._mp_d && o.m_data[0]._mp_num._mp_d);
return mpq_cmp(m_data, o.m_data);
}
template <class V>
int compare(V v) const
{
gmp_rational d;
d = v;
return compare(d);
}
int compare(unsigned long v) const
{
BOOST_MP_ASSERT(m_data[0]._mp_num._mp_d);
return mpq_cmp_ui(m_data, v, 1);
}
int compare(long v) const
{
BOOST_MP_ASSERT(m_data[0]._mp_num._mp_d);
return mpq_cmp_si(m_data, v, 1);
}
mpq_t& data()
{
BOOST_MP_ASSERT(m_data[0]._mp_num._mp_d);
return m_data;
}
const mpq_t& data() const
{
BOOST_MP_ASSERT(m_data[0]._mp_num._mp_d);
return m_data;
}
protected:
mpq_t m_data;
};
inline bool eval_is_zero(const gmp_rational& val)
{
return mpq_sgn(val.data()) == 0;
}
template <class T>
inline bool eval_eq(gmp_rational& a, const T& b)
{
return a.compare(b) == 0;
}
template <class T>
inline bool eval_lt(gmp_rational& a, const T& b)
{
return a.compare(b) < 0;
}
template <class T>
inline bool eval_gt(gmp_rational& a, const T& b)
{
return a.compare(b) > 0;
}
inline void eval_add(gmp_rational& t, const gmp_rational& o)
{
mpq_add(t.data(), t.data(), o.data());
}
inline void eval_subtract(gmp_rational& t, const gmp_rational& o)
{
mpq_sub(t.data(), t.data(), o.data());
}
inline void eval_multiply(gmp_rational& t, const gmp_rational& o)
{
mpq_mul(t.data(), t.data(), o.data());
}
inline void eval_divide(gmp_rational& t, const gmp_rational& o)
{
if (eval_is_zero(o))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpq_div(t.data(), t.data(), o.data());
}
inline void eval_add(gmp_rational& t, const gmp_rational& p, const gmp_rational& o)
{
mpq_add(t.data(), p.data(), o.data());
}
inline void eval_subtract(gmp_rational& t, const gmp_rational& p, const gmp_rational& o)
{
mpq_sub(t.data(), p.data(), o.data());
}
inline void eval_multiply(gmp_rational& t, const gmp_rational& p, const gmp_rational& o)
{
mpq_mul(t.data(), p.data(), o.data());
}
inline void eval_divide(gmp_rational& t, const gmp_rational& p, const gmp_rational& o)
{
if (eval_is_zero(o))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpq_div(t.data(), p.data(), o.data());
}
//
// operator with scalars:
//
inline void eval_add(gmp_rational& result, gmp_rational const& a, gmp_int const& b)
{
// we allow result and a to be the same object here:
if (&a != &result)
{
mpz_set(mpq_numref(result.data()), mpq_numref(a.data()));
mpz_set(mpq_denref(result.data()), mpq_denref(a.data()));
}
mpz_addmul(mpq_numref(result.data()), mpq_denref(a.data()), b.data());
// no need to normalize, there can be no common divisor as long as a is already normalized.
}
inline void eval_add(gmp_rational& result, gmp_rational const& a, unsigned long b)
{
// we allow result and a to be the same object here:
if (&a != &result)
{
mpz_set(mpq_numref(result.data()), mpq_numref(a.data()));
mpz_set(mpq_denref(result.data()), mpq_denref(a.data()));
}
mpz_addmul_ui(mpq_numref(result.data()), mpq_denref(a.data()), b);
// no need to normalize, there can be no common divisor as long as a is already normalized.
}
inline void eval_add(gmp_rational& result, gmp_rational const& a, long b)
{
// we allow result and a to be the same object here:
if (&a != &result)
{
mpz_set(mpq_numref(result.data()), mpq_numref(a.data()));
mpz_set(mpq_denref(result.data()), mpq_denref(a.data()));
}
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if(b > 0)
mpz_addmul_ui(mpq_numref(result.data()), mpq_denref(a.data()), static_cast<local_uint_type>(b));
else
mpz_submul_ui(mpq_numref(result.data()), mpq_denref(a.data()), static_cast<local_uint_type>(-b));
// no need to normalize, there can be no common divisor as long as a is already normalized.
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_add(gmp_rational& result, gmp_rational const& a, const T& b)
{
gmp_int t;
t = b;
eval_add(result, a, t);
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_add(gmp_rational& result, const T& b, gmp_rational const& a)
{
eval_add(result, a, b);
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_add(gmp_rational& result, const T& b)
{
eval_add(result, result, b);
}
inline void eval_subtract(gmp_rational& result, gmp_rational const& a, gmp_int const& b)
{
// we allow result and a to be the same object here:
if (&a != &result)
{
mpz_set(mpq_numref(result.data()), mpq_numref(a.data()));
mpz_set(mpq_denref(result.data()), mpq_denref(a.data()));
}
mpz_submul(mpq_numref(result.data()), mpq_denref(a.data()), b.data());
// no need to normalize, there can be no common divisor as long as a is already normalized.
}
inline void eval_subtract(gmp_rational& result, gmp_rational const& a, unsigned long b)
{
// we allow result and a to be the same object here:
if (&a != &result)
{
mpz_set(mpq_numref(result.data()), mpq_numref(a.data()));
mpz_set(mpq_denref(result.data()), mpq_denref(a.data()));
}
mpz_submul_ui(mpq_numref(result.data()), mpq_denref(a.data()), b);
// no need to normalize, there can be no common divisor as long as a is already normalized.
}
inline void eval_subtract(gmp_rational& result, gmp_rational const& a, long b)
{
// we allow result and a to be the same object here:
if (&a != &result)
{
mpz_set(mpq_numref(result.data()), mpq_numref(a.data()));
mpz_set(mpq_denref(result.data()), mpq_denref(a.data()));
}
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if(b > 0)
mpz_submul_ui(mpq_numref(result.data()), mpq_denref(a.data()), static_cast<local_uint_type>(b));
else
mpz_addmul_ui(mpq_numref(result.data()), mpq_denref(a.data()), static_cast<local_uint_type>(-b));
// no need to normalize, there can be no common divisor as long as a is already normalized.
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_subtract(gmp_rational& result, gmp_rational const& a, const T& b)
{
gmp_int t;
t = b;
eval_subtract(result, a, t);
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_subtract(gmp_rational& result, const T& b, gmp_rational const& a)
{
eval_subtract(result, a, b);
result.negate();
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_subtract(gmp_rational& result, const T& b)
{
eval_subtract(result, result, b);
}
inline void eval_multiply(gmp_rational& result, gmp_rational const& a, gmp_int const& b)
{
gmp_int g, t;
mpz_gcd(g.data(), mpq_denref(a.data()), b.data());
if (!mpz_fits_uint_p(g.data()) || (mpz_get_ui(g.data()) != 1))
{
// We get here if the gcd is not unity, this is true if the number is
// too large for an unsigned long, or if we get an unsigned long and check against 1.
eval_divide(t, b, g);
mpz_mul(mpq_numref(result.data()), t.data(), mpq_numref(a.data()));
mpz_divexact(mpq_denref(result.data()), mpq_denref(a.data()), g.data());
}
else
{
// gcd is 1.
mpz_mul(mpq_numref(result.data()), mpq_numref(a.data()), b.data());
if (&result != &a)
mpz_set(mpq_denref(result.data()), mpq_denref(a.data()));
}
}
inline void eval_multiply(gmp_rational& result, gmp_rational const& a, unsigned long b)
{
if (b == 0)
{
mpq_set_ui(result.data(), b, 1);
return;
}
if (mpz_sgn(mpq_numref(a.data())) == 0)
{
result = a;
return;
}
unsigned long g = static_cast<unsigned long>(mpz_gcd_ui(nullptr, mpq_denref(a.data()), b));
if (g != 1)
{
BOOST_MP_ASSERT(g);
b /= g;
mpz_mul_ui(mpq_numref(result.data()), mpq_numref(a.data()), b);
mpz_divexact_ui(mpq_denref(result.data()), mpq_denref(a.data()), g);
}
else
{
mpz_mul_ui(mpq_numref(result.data()), mpq_numref(a.data()), b);
if (&result != &a)
mpz_set(mpq_denref(result.data()), mpq_denref(a.data()));
}
}
inline void eval_multiply(gmp_rational& result, gmp_rational const& a, long b)
{
eval_multiply(result, a, boost::multiprecision::detail::unsigned_abs(b));
if (b < 0)
result.negate();
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_multiply(gmp_rational& result, gmp_rational const& a, const T& b)
{
gmp_int t;
t = b;
eval_multiply(result, a, t);
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_multiply(gmp_rational& result, const T& b, gmp_rational const& a)
{
eval_multiply(result, a, b);
}
template <class T>
inline typename std::enable_if<boost::multiprecision::detail::is_integral<T>::value>::type eval_multiply(gmp_rational& result, const T& b)
{
eval_multiply(result, result, b);
}
inline int eval_get_sign(const gmp_rational& val)
{
return mpq_sgn(val.data());
}
template <class R>
inline typename std::enable_if<number_category<R>::value == number_kind_floating_point>::type eval_convert_to(R* result, const gmp_rational& backend)
{
//
// The generic conversion is as good as anything we can write here:
//
// This does not round correctly:
//
//*result = mpq_get_d(val.data());
//
// This does:
//
::boost::multiprecision::detail::generic_convert_rational_to_float(*result, backend);
}
#ifdef BOOST_HAS_FLOAT128
inline void eval_convert_to(float128_type* result, const gmp_rational& val)
{
using default_ops::eval_convert_to;
gmp_int n, d;
float128_type fn, fd;
mpz_set(n.data(), mpq_numref(val.data()));
mpz_set(d.data(), mpq_denref(val.data()));
eval_convert_to(&fn, n);
eval_convert_to(&fd, d);
*result = fn / fd;
}
#endif
template <class R>
inline typename std::enable_if<number_category<R>::value == number_kind_integer>::type eval_convert_to(R* result, const gmp_rational& backend)
{
gmp_int n(mpq_numref(backend.data()));
gmp_int d(mpq_denref(backend.data()));
using default_ops::eval_divide;
eval_divide(n, d);
using default_ops::eval_convert_to;
eval_convert_to(result, n);
}
inline void eval_abs(gmp_rational& result, const gmp_rational& val)
{
mpq_abs(result.data(), val.data());
}
inline void assign_components(gmp_rational& result, unsigned long v1, unsigned long v2)
{
if (v2 == 0u)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpq_set_ui(result.data(), v1, v2);
mpq_canonicalize(result.data());
}
inline void assign_components(gmp_rational& result, long v1, long v2)
{
if (v2 == 0)
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
using local_uint_type = typename boost::multiprecision::detail::make_unsigned<long>::type;
if (v2 < 0)
mpq_set_si(result.data(), -v1, static_cast<local_uint_type>(-v2));
else
mpq_set_si(result.data(), v1, static_cast<local_uint_type>(v2));
mpq_canonicalize(result.data());
}
inline void assign_components(gmp_rational& result, gmp_int const& v1, gmp_int const& v2)
{
if (eval_is_zero(v2))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_set(mpq_numref(result.data()), v1.data());
mpz_set(mpq_denref(result.data()), v2.data());
mpq_canonicalize(result.data());
}
template <class T, class U>
void assign_components(gmp_rational& result, const T& a, const U& b)
{
gmp_int x, y;
x = a;
y = b;
if (eval_is_zero(y))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
std::swap(result.data()[0]._mp_num, x.data()[0]);
std::swap(result.data()[0]._mp_den, y.data()[0]);
mpq_canonicalize(result.data());
}
template <class U>
void assign_components(gmp_rational& result, const gmp_int& a, const U& b)
{
gmp_int y;
y = b;
if (eval_is_zero(y))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
mpz_set(&result.data()[0]._mp_num, a.data());
std::swap(result.data()[0]._mp_den, y.data()[0]);
mpq_canonicalize(result.data());
}
template <class T>
void assign_components(gmp_rational& result, const T& a, const gmp_int& b)
{
if (eval_is_zero(b))
BOOST_MP_THROW_EXCEPTION(std::overflow_error("Division by zero."));
gmp_int x;
x = a;
std::swap(result.data()[0]._mp_num, x.data()[0]);
mpz_set(&result.data()[0]._mp_den, b.data());
mpq_canonicalize(result.data());
}
inline std::size_t hash_value(const gmp_rational& val)
{
std::size_t result = 0;
for (int i = 0; i < std::abs(val.data()[0]._mp_num._mp_size); ++i)
boost::multiprecision::detail::hash_combine(result, val.data()[0]._mp_num._mp_d[i]);
for (int i = 0; i < std::abs(val.data()[0]._mp_den._mp_size); ++i)
boost::multiprecision::detail::hash_combine(result, val.data()[0]._mp_den._mp_d[i]);
boost::multiprecision::detail::hash_combine(result, val.data()[0]._mp_num._mp_size);
return result;
}
//
// Some useful helpers:
//
inline std::size_t used_gmp_int_bits(const gmp_int& val)
{
return eval_msb(val) - eval_lsb(val) + 1;
}
inline std::size_t used_gmp_rational_bits(const gmp_rational& val)
{
unsigned d2_d = static_cast<unsigned>(mpz_sizeinbase(mpq_denref(val.data()), 2) - mpz_scan1(mpq_denref(val.data()), 0));
unsigned d2_n = static_cast<unsigned>(mpz_sizeinbase(mpq_numref(val.data()), 2) - mpz_scan1(mpq_numref(val.data()), 0));
return (std::max)(d2_d, d2_n);
}
//
// Some member functions that are dependent upon previous code go here:
//
template <unsigned Digits10>
template <unsigned D>
inline gmp_float<Digits10>::gmp_float(const gmp_float<D>& o, typename std::enable_if<D <= Digits10>::type*)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(Digits10 ? Digits10 : (unsigned)this->get_default_precision()));
mpf_set(this->m_data, o.data());
}
template <unsigned Digits10>
template <unsigned D>
inline gmp_float<Digits10>::gmp_float(const gmp_float<D>& o, typename std::enable_if< !(D <= Digits10)>::type*)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(Digits10 ? Digits10 : (unsigned)this->get_default_precision()));
mpf_set(this->m_data, o.data());
}
template <unsigned Digits10>
inline gmp_float<Digits10>::gmp_float(const gmp_int& o)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(Digits10 ? Digits10 : (unsigned)this->get_default_precision()));
mpf_set_z(this->data(), o.data());
}
template <unsigned Digits10>
inline gmp_float<Digits10>::gmp_float(const gmp_rational& o)
{
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(Digits10 ? Digits10 : (unsigned)this->get_default_precision()));
mpf_set_q(this->data(), o.data());
}
template <unsigned Digits10>
template <unsigned D>
inline gmp_float<Digits10>& gmp_float<Digits10>::operator=(const gmp_float<D>& o)
{
if (this->m_data[0]._mp_d == nullptr)
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(Digits10 ? Digits10 : (unsigned)this->get_default_precision()));
mpf_set(this->m_data, o.data());
return *this;
}
template <unsigned Digits10>
inline gmp_float<Digits10>& gmp_float<Digits10>::operator=(const gmp_int& o)
{
if (this->m_data[0]._mp_d == nullptr)
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(Digits10 ? Digits10 : (unsigned)this->get_default_precision()));
mpf_set_z(this->data(), o.data());
return *this;
}
template <unsigned Digits10>
inline gmp_float<Digits10>& gmp_float<Digits10>::operator=(const gmp_rational& o)
{
if (this->m_data[0]._mp_d == nullptr)
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(Digits10 ? Digits10 : (unsigned)this->get_default_precision()));
mpf_set_q(this->data(), o.data());
return *this;
}
inline gmp_float<0>::gmp_float(const gmp_int& o) : requested_precision(get_default_precision())
{
if (thread_default_variable_precision_options() >= variable_precision_options::preserve_all_precision)
{
std::size_t d2 = used_gmp_int_bits(o);
std::size_t d10 = 1 + multiprecision::detail::digits2_2_10(d2);
if (d10 > requested_precision)
requested_precision = static_cast<unsigned>(d10);
}
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
mpf_set_z(this->data(), o.data());
}
inline gmp_float<0>::gmp_float(const gmp_rational& o) : requested_precision(get_default_precision())
{
if (thread_default_variable_precision_options() >= variable_precision_options::preserve_all_precision)
{
std::size_t d10 = 1 + multiprecision::detail::digits2_2_10(used_gmp_rational_bits(o));
if (d10 > requested_precision)
requested_precision = static_cast<unsigned>(d10);
}
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
mpf_set_q(this->data(), o.data());
}
inline gmp_float<0>& gmp_float<0>::operator=(const gmp_int& o)
{
if (this->m_data[0]._mp_d == nullptr)
{
requested_precision = this->get_default_precision();
if (thread_default_variable_precision_options() >= variable_precision_options::preserve_all_precision)
{
std::size_t d2 = used_gmp_int_bits(o);
std::size_t d10 = 1 + multiprecision::detail::digits2_2_10(d2);
if (d10 > requested_precision)
requested_precision = static_cast<unsigned>(d10);
}
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
}
else if (thread_default_variable_precision_options() >= variable_precision_options::preserve_all_precision)
{
std::size_t d2 = used_gmp_int_bits(o);
std::size_t d10 = 1 + multiprecision::detail::digits2_2_10(d2);
if (d10 > requested_precision)
this->precision(static_cast<unsigned>(d10));
}
mpf_set_z(this->data(), o.data());
return *this;
}
inline gmp_float<0>& gmp_float<0>::operator=(const gmp_rational& o)
{
if (this->m_data[0]._mp_d == nullptr)
{
requested_precision = this->get_default_precision();
if (thread_default_variable_precision_options() >= variable_precision_options::preserve_all_precision)
{
std::size_t d10 = 1 + multiprecision::detail::digits2_2_10(used_gmp_rational_bits(o));
if (d10 > requested_precision)
requested_precision = static_cast<unsigned>(d10);
}
mpf_init2(this->m_data, multiprecision::detail::digits10_2_2(requested_precision));
}
else if (thread_default_variable_precision_options() >= variable_precision_options::preserve_all_precision)
{
std::size_t d10 = 1 + multiprecision::detail::digits2_2_10(used_gmp_rational_bits(o));
if (d10 > requested_precision)
this->precision(static_cast<unsigned>(d10));
}
mpf_set_q(this->data(), o.data());
return *this;
}
inline gmp_int::gmp_int(const gmp_rational& o)
{
mpz_init(this->m_data);
mpz_set_q(this->m_data, o.data());
}
inline gmp_int& gmp_int::operator=(const gmp_rational& o)
{
if (this->m_data[0]._mp_d == nullptr)
mpz_init(this->m_data);
mpz_set_q(this->m_data, o.data());
return *this;
}
} //namespace backends
using boost::multiprecision::backends::gmp_float;
using boost::multiprecision::backends::gmp_int;
using boost::multiprecision::backends::gmp_rational;
template <expression_template_option ExpressionTemplates>
struct component_type<number<gmp_rational, ExpressionTemplates> >
{
using type = number<gmp_int, ExpressionTemplates>;
};
template <expression_template_option ET>
inline number<gmp_int, ET> numerator(const number<gmp_rational, ET>& val)
{
number<gmp_int, ET> result;
mpz_set(result.backend().data(), (mpq_numref(val.backend().data())));
return result;
}
template <expression_template_option ET>
inline number<gmp_int, ET> denominator(const number<gmp_rational, ET>& val)
{
number<gmp_int, ET> result;
mpz_set(result.backend().data(), (mpq_denref(val.backend().data())));
return result;
}
namespace detail {
template <>
struct digits2<number<gmp_float<0>, et_on> >
{
static long value()
{
return static_cast<long>(multiprecision::detail::digits10_2_2(gmp_float<0>::thread_default_precision()));
}
};
template <>
struct digits2<number<gmp_float<0>, et_off> >
{
static long value()
{
return static_cast<long>(multiprecision::detail::digits10_2_2(gmp_float<0>::thread_default_precision()));
}
};
template <>
struct digits2<number<debug_adaptor<gmp_float<0> >, et_on> >
{
static long value()
{
return static_cast<long>(multiprecision::detail::digits10_2_2(gmp_float<0>::thread_default_precision()));
}
};
template <>
struct digits2<number<debug_adaptor<gmp_float<0> >, et_off> >
{
static long value()
{
return static_cast<long>(multiprecision::detail::digits10_2_2(gmp_float<0>::thread_default_precision()));
}
};
template <unsigned Digits10>
struct transcendental_reduction_type<boost::multiprecision::backends::gmp_float<Digits10> >
{
//
// The type used for trigonometric reduction needs 3 times the precision of the base type.
// This is double the precision of the original type, plus the largest exponent supported.
// As a practical measure the largest argument supported is 1/eps, as supporting larger
// arguments requires the division of argument by PI/2 to also be done at higher precision,
// otherwise the result (an integer) can not be represented exactly.
//
// See ARGUMENT REDUCTION FOR HUGE ARGUMENTS. K C Ng.
//
using type = boost::multiprecision::backends::gmp_float<Digits10 * 3>;
};
} // namespace detail
template <>
struct number_category<detail::canonical<mpz_t, gmp_int>::type> : public std::integral_constant<int, number_kind_integer>
{};
template <>
struct number_category<detail::canonical<mpq_t, gmp_rational>::type> : public std::integral_constant<int, number_kind_rational>
{};
template <>
struct number_category<detail::canonical<mpf_t, gmp_float<0> >::type> : public std::integral_constant<int, number_kind_floating_point>
{};
namespace detail {
template <>
struct is_variable_precision<backends::gmp_float<0> > : public std::integral_constant<bool, true>
{};
} // namespace detail
using mpf_float_50 = number<gmp_float<50> >;
using mpf_float_100 = number<gmp_float<100> >;
using mpf_float_500 = number<gmp_float<500> >;
using mpf_float_1000 = number<gmp_float<1000> >;
using mpf_float = number<gmp_float<0> >;
using mpz_int = number<gmp_int>;
using mpq_rational = number<gmp_rational>;
} // namespace multiprecision
namespace math { namespace tools {
#ifndef BOOST_MP_MATH_AVAILABLE
template <typename T>
inline int digits();
template <typename T>
inline T max_value();
template <typename T>
inline T min_value();
#endif // BOOST_MP_MATH_AVAILABLE
inline void set_output_precision(const boost::multiprecision::mpf_float& val, std::ostream& os)
{
const int sz_prec = static_cast<int>(val.precision());
os << std::setprecision(sz_prec);
}
template <>
inline int digits<boost::multiprecision::mpf_float>()
#ifdef BOOST_MATH_NOEXCEPT
noexcept
#endif
{
return static_cast<int>(multiprecision::detail::digits10_2_2(boost::multiprecision::mpf_float::thread_default_precision()));
}
template <>
inline int digits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, boost::multiprecision::et_off> >()
#ifdef BOOST_MATH_NOEXCEPT
noexcept
#endif
{
return static_cast<int>(multiprecision::detail::digits10_2_2(boost::multiprecision::mpf_float::thread_default_precision()));
}
template <>
inline boost::multiprecision::mpf_float
max_value<boost::multiprecision::mpf_float>()
{
boost::multiprecision::mpf_float result(0.5);
mpf_mul_2exp(result.backend().data(), result.backend().data(), (std::numeric_limits<mp_exp_t>::max)() / 64 + 1);
return result;
}
template <>
inline boost::multiprecision::mpf_float
min_value<boost::multiprecision::mpf_float>()
{
boost::multiprecision::mpf_float result(0.5);
mpf_div_2exp(result.backend().data(), result.backend().data(), (std::numeric_limits<mp_exp_t>::max)() / 64 + 1);
return result;
}
template <>
inline boost::multiprecision::number<boost::multiprecision::gmp_float<0>, boost::multiprecision::et_off>
max_value<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, boost::multiprecision::et_off> >()
{
boost::multiprecision::number<boost::multiprecision::gmp_float<0>, boost::multiprecision::et_off> result(0.5);
mpf_mul_2exp(result.backend().data(), result.backend().data(), (std::numeric_limits<mp_exp_t>::max)() / 64 + 1);
return result;
}
template <>
inline boost::multiprecision::number<boost::multiprecision::gmp_float<0>, boost::multiprecision::et_off>
min_value<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, boost::multiprecision::et_off> >()
{
boost::multiprecision::number<boost::multiprecision::gmp_float<0>, boost::multiprecision::et_off> result(0.5);
mpf_div_2exp(result.backend().data(), result.backend().data(), (std::numeric_limits<mp_exp_t>::max)() / 64 + 1);
return result;
}
template <>
inline int digits<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpf_float::backend_type> > >()
#ifdef BOOST_MATH_NOEXCEPT
noexcept
#endif
{
return static_cast<int>(multiprecision::detail::digits10_2_2(boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpf_float::backend_type> >::thread_default_precision()));
}
template <>
inline int digits<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::gmp_float<0> >, boost::multiprecision::et_off> >()
#ifdef BOOST_MATH_NOEXCEPT
noexcept
#endif
{
return static_cast<int>(multiprecision::detail::digits10_2_2(boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpf_float::backend_type> >::thread_default_precision()));
}
template <>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpf_float::backend_type> >
max_value<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpf_float::backend_type> > >()
{
return max_value<boost::multiprecision::mpf_float>().backend();
}
template <>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpf_float::backend_type> >
min_value<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpf_float::backend_type> > >()
{
return min_value<boost::multiprecision::mpf_float>().backend();
}
template <>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::gmp_float<0> >, boost::multiprecision::et_off>
max_value<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::gmp_float<0> >, boost::multiprecision::et_off> >()
{
return max_value<boost::multiprecision::mpf_float>().backend();
}
template <>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::gmp_float<0> >, boost::multiprecision::et_off>
min_value<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::gmp_float<0> >, boost::multiprecision::et_off> >()
{
return min_value<boost::multiprecision::mpf_float>().backend();
}
}} // namespace math::tools
} // namespace boost
namespace std {
//
// numeric_limits [partial] specializations for the types declared in this header:
//
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
class numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >
{
using number_type = boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates>;
//
// min and max values chosen so as to not cause segfaults when calling
// mpf_get_str on 64-bit Linux builds. Possibly we could use larger
// exponent values elsewhere.
//
static number_type calc_min()
{
number_type result(1);
mpf_div_2exp(result.backend().data(), result.backend().data(), (std::numeric_limits<mp_exp_t>::max)() / 64 + 1);
return result;
}
static number_type calc_max()
{
number_type result(1);
mpf_mul_2exp(result.backend().data(), result.backend().data(), (std::numeric_limits<mp_exp_t>::max)() / 64 + 1);
return result;
}
static number_type calc_epsilon()
{
number_type result(1);
mpf_div_2exp(result.backend().data(), result.backend().data(), std::numeric_limits<number_type>::digits - 1);
return result;
}
public:
static constexpr bool is_specialized = true;
static number_type(min)()
{
// rely on C++11 thread safe initialization of statics:
static const number_type value{calc_min()};
return value;
}
static number_type(max)()
{
static number_type value{calc_max()};
return value;
}
static constexpr number_type lowest()
{
return -(max)();
}
static constexpr int digits = static_cast<int>((Digits10 * 1000L) / 301L + ((Digits10 * 1000L) % 301L ? 2 : 1));
static constexpr int digits10 = Digits10;
// Have to allow for a possible extra limb inside the gmp data structure:
static constexpr int max_digits10 = Digits10 + 3 + ((GMP_LIMB_BITS * 301L) / 1000L);
static constexpr bool is_signed = true;
static constexpr bool is_integer = false;
static constexpr bool is_exact = false;
static constexpr int radix = 2;
static number_type epsilon()
{
static const number_type value{calc_epsilon()};
return value;
}
// What value should this be????
static number_type round_error()
{
return 1;
}
static constexpr long min_exponent = LONG_MIN;
static constexpr long min_exponent10 = (LONG_MIN / 1000) * 301L;
static constexpr long max_exponent = LONG_MAX;
static constexpr long max_exponent10 = (LONG_MAX / 1000) * 301L;
static constexpr bool has_infinity = false;
static constexpr bool has_quiet_NaN = false;
static constexpr bool has_signaling_NaN = false;
static constexpr float_denorm_style has_denorm = denorm_absent;
static constexpr bool has_denorm_loss = false;
static constexpr number_type infinity() { return number_type(); }
static constexpr number_type quiet_NaN() { return number_type(); }
static constexpr number_type signaling_NaN() { return number_type(); }
static constexpr number_type denorm_min() { return number_type(); }
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = true;
static constexpr bool is_modulo = false;
static constexpr bool traps = true;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_indeterminate;
};
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::digits;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::digits10;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::max_digits10;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::is_signed;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::is_integer;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::is_exact;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::radix;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr long numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::min_exponent;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr long numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::min_exponent10;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr long numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::max_exponent;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr long numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::max_exponent10;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::has_infinity;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::has_quiet_NaN;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::has_signaling_NaN;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::has_denorm;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::has_denorm_loss;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::is_iec559;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::is_bounded;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::is_modulo;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::traps;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::tinyness_before;
template <unsigned Digits10, boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<Digits10>, ExpressionTemplates> >::round_style;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
class numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >
{
using number_type = boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates>;
public:
static constexpr bool is_specialized = false;
static number_type(min)() { return number_type(); }
static number_type(max)() { return number_type(); }
static number_type lowest() { return number_type(); }
static constexpr int digits = 0;
static constexpr int digits10 = 0;
static constexpr int max_digits10 = 0;
static constexpr bool is_signed = false;
static constexpr bool is_integer = false;
static constexpr bool is_exact = false;
static constexpr int radix = 0;
static number_type epsilon() { return number_type(); }
static number_type round_error() { return number_type(); }
static constexpr int min_exponent = 0;
static constexpr int min_exponent10 = 0;
static constexpr int max_exponent = 0;
static constexpr int max_exponent10 = 0;
static constexpr bool has_infinity = false;
static constexpr bool has_quiet_NaN = false;
static constexpr bool has_signaling_NaN = false;
static constexpr float_denorm_style has_denorm = denorm_absent;
static constexpr bool has_denorm_loss = false;
static number_type infinity() { return number_type(); }
static number_type quiet_NaN() { return number_type(); }
static number_type signaling_NaN() { return number_type(); }
static number_type denorm_min() { return number_type(); }
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = false;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_indeterminate;
};
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::digits;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::digits10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::max_digits10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::is_signed;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::is_integer;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::is_exact;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::radix;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::min_exponent;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::min_exponent10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::max_exponent;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::max_exponent10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::has_infinity;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::has_quiet_NaN;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::has_signaling_NaN;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::has_denorm;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::has_denorm_loss;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::is_iec559;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::is_bounded;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::is_modulo;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::traps;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::tinyness_before;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >::round_style;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
class numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >
{
using number_type = boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates>;
public:
static constexpr bool is_specialized = true;
//
// Largest and smallest numbers are bounded only by available memory, set
// to zero:
//
static number_type(min)()
{
return number_type();
}
static number_type(max)()
{
return number_type();
}
static number_type lowest() { return (min)(); }
static constexpr int digits = INT_MAX;
static constexpr int digits10 = (INT_MAX / 1000) * 301L;
static constexpr int max_digits10 = digits10 + 3;
static constexpr bool is_signed = true;
static constexpr bool is_integer = true;
static constexpr bool is_exact = true;
static constexpr int radix = 2;
static number_type epsilon() { return number_type(); }
static number_type round_error() { return number_type(); }
static constexpr int min_exponent = 0;
static constexpr int min_exponent10 = 0;
static constexpr int max_exponent = 0;
static constexpr int max_exponent10 = 0;
static constexpr bool has_infinity = false;
static constexpr bool has_quiet_NaN = false;
static constexpr bool has_signaling_NaN = false;
static constexpr float_denorm_style has_denorm = denorm_absent;
static constexpr bool has_denorm_loss = false;
static number_type infinity() { return number_type(); }
static number_type quiet_NaN() { return number_type(); }
static number_type signaling_NaN() { return number_type(); }
static number_type denorm_min() { return number_type(); }
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = false;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_toward_zero;
};
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::digits;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::digits10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::max_digits10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::is_signed;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::is_integer;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::is_exact;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::radix;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::min_exponent;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::min_exponent10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::max_exponent;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::max_exponent10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::has_infinity;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::has_quiet_NaN;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::has_signaling_NaN;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::has_denorm;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::has_denorm_loss;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::is_iec559;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::is_bounded;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::is_modulo;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::traps;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::tinyness_before;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_int, ExpressionTemplates> >::round_style;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
class numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >
{
using number_type = boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates>;
public:
static constexpr bool is_specialized = true;
//
// Largest and smallest numbers are bounded only by available memory, set
// to zero:
//
static number_type(min)()
{
return number_type();
}
static number_type(max)()
{
return number_type();
}
static number_type lowest() { return (min)(); }
// Digits are unbounded, use zero for now:
static constexpr int digits = INT_MAX;
static constexpr int digits10 = (INT_MAX / 1000) * 301L;
static constexpr int max_digits10 = digits10 + 3;
static constexpr bool is_signed = true;
static constexpr bool is_integer = false;
static constexpr bool is_exact = true;
static constexpr int radix = 2;
static number_type epsilon() { return number_type(); }
static number_type round_error() { return number_type(); }
static constexpr int min_exponent = 0;
static constexpr int min_exponent10 = 0;
static constexpr int max_exponent = 0;
static constexpr int max_exponent10 = 0;
static constexpr bool has_infinity = false;
static constexpr bool has_quiet_NaN = false;
static constexpr bool has_signaling_NaN = false;
static constexpr float_denorm_style has_denorm = denorm_absent;
static constexpr bool has_denorm_loss = false;
static number_type infinity() { return number_type(); }
static number_type quiet_NaN() { return number_type(); }
static number_type signaling_NaN() { return number_type(); }
static number_type denorm_min() { return number_type(); }
static constexpr bool is_iec559 = false;
static constexpr bool is_bounded = false;
static constexpr bool is_modulo = false;
static constexpr bool traps = false;
static constexpr bool tinyness_before = false;
static constexpr float_round_style round_style = round_toward_zero;
};
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::digits;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::digits10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::max_digits10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::is_signed;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::is_integer;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::is_exact;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::radix;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::min_exponent;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::min_exponent10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::max_exponent;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr int numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::max_exponent10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::has_infinity;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::has_quiet_NaN;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::has_signaling_NaN;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::has_denorm;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::has_denorm_loss;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::is_iec559;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::is_bounded;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::is_modulo;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::traps;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr bool numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::tinyness_before;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
constexpr float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::gmp_rational, ExpressionTemplates> >::round_style;
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
} // namespace std
namespace Eigen
{
template <class B1, class B2>
struct NumTraitsImp;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
struct NumTraitsImp<boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates>, boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates> >
{
using self_type = boost::multiprecision::number<boost::multiprecision::gmp_float<0>, ExpressionTemplates>;
using Real = typename boost::multiprecision::scalar_result_from_possible_complex<self_type>::type;
using NonInteger = self_type; // Not correct but we can't do much better??
using Literal = double;
using Nested = self_type;
enum
{
IsComplex = boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_complex,
IsInteger = boost::multiprecision::number_category<self_type>::value == boost::multiprecision::number_kind_integer,
ReadCost = 1,
AddCost = 4,
MulCost = 8,
IsSigned = std::numeric_limits<self_type>::is_specialized ? std::numeric_limits<self_type>::is_signed : true,
RequireInitialization = 1,
};
static Real highest() noexcept
{
return boost::math::tools::max_value<Real>();
}
static Real lowest() noexcept
{
return boost::math::tools::min_value<Real>();
}
static int digits() noexcept
{
return boost::math::tools::digits<Real>();
}
static int digits10()
{
return Real::thread_default_precision();
}
static Real epsilon()
{
return ldexp(Real(1), 1 - digits());
}
static Real dummy_precision()
{
return 1000 * epsilon();
}
static constexpr long min_exponent() noexcept
{
return LONG_MIN;
}
static constexpr long max_exponent() noexcept
{
return LONG_MAX;
}
static Real infinity()
{
return Real();
}
static Real quiet_NaN()
{
return Real();
}
};
}
#endif
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