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///////////////////////////////////////////////////////////////////////////////
// Copyright 2011 John Maddock. Distributed under the Boost
// Software License, Version 1.0. (See accompanying file
// LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
#ifndef BOOST_MATH_BN_MPFR_HPP
#define BOOST_MATH_BN_MPFR_HPP
#include <boost/multiprecision/number.hpp>
#include <boost/multiprecision/debug_adaptor.hpp>
#include <boost/multiprecision/gmp.hpp>
#include <boost/math/special_functions/fpclassify.hpp>
#include <boost/cstdint.hpp>
#include <boost/multiprecision/detail/big_lanczos.hpp>
#include <boost/multiprecision/detail/digits.hpp>
#include <mpfr.h>
#include <cmath>
#include <algorithm>
#ifndef BOOST_MULTIPRECISION_MPFR_DEFAULT_PRECISION
# define BOOST_MULTIPRECISION_MPFR_DEFAULT_PRECISION 20
#endif
namespace boost{
namespace multiprecision{
enum mpfr_allocation_type
{
allocate_stack,
allocate_dynamic
};
namespace backends{
template <unsigned digits10, mpfr_allocation_type AllocationType = allocate_dynamic>
struct mpfr_float_backend;
template <>
struct mpfr_float_backend<0, allocate_stack>;
} // namespace backends
template <unsigned digits10, mpfr_allocation_type AllocationType>
struct number_category<backends::mpfr_float_backend<digits10, AllocationType> > : public mpl::int_<number_kind_floating_point>{};
namespace backends{
namespace detail{
template <bool b>
struct mpfr_cleanup
{
struct initializer
{
initializer() {}
~initializer(){ mpfr_free_cache(); }
void force_instantiate()const {}
};
static const initializer init;
static void force_instantiate() { init.force_instantiate(); }
};
template <bool b>
typename mpfr_cleanup<b>::initializer const mpfr_cleanup<b>::init;
template <unsigned digits10, mpfr_allocation_type AllocationType>
struct mpfr_float_imp;
template <unsigned digits10>
struct mpfr_float_imp<digits10, allocate_dynamic>
{
#ifdef BOOST_HAS_LONG_LONG
typedef mpl::list<long, boost::long_long_type> signed_types;
typedef mpl::list<unsigned long, boost::ulong_long_type> unsigned_types;
#else
typedef mpl::list<long> signed_types;
typedef mpl::list<unsigned long> unsigned_types;
#endif
typedef mpl::list<double, long double> float_types;
typedef long exponent_type;
mpfr_float_imp()
{
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
mpfr_set_ui(m_data, 0u, GMP_RNDN);
}
mpfr_float_imp(unsigned prec)
{
mpfr_init2(m_data, prec);
mpfr_set_ui(m_data, 0u, GMP_RNDN);
}
mpfr_float_imp(const mpfr_float_imp& o)
{
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
if(o.m_data[0]._mpfr_d)
mpfr_set(m_data, o.m_data, GMP_RNDN);
}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
mpfr_float_imp(mpfr_float_imp&& o) BOOST_NOEXCEPT
{
m_data[0] = o.m_data[0];
o.m_data[0]._mpfr_d = 0;
}
#endif
mpfr_float_imp& operator = (const mpfr_float_imp& o)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
if(o.m_data[0]._mpfr_d)
mpfr_set(m_data, o.m_data, GMP_RNDN);
return *this;
}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
mpfr_float_imp& operator = (mpfr_float_imp&& o) BOOST_NOEXCEPT
{
mpfr_swap(m_data, o.m_data);
return *this;
}
#endif
#ifdef BOOST_HAS_LONG_LONG
#ifdef _MPFR_H_HAVE_INTMAX_T
mpfr_float_imp& operator = (boost::ulong_long_type i)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
mpfr_set_uj(m_data, i, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (boost::long_long_type i)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
mpfr_set_sj(m_data, i, GMP_RNDN);
return *this;
}
#else
mpfr_float_imp& operator = (boost::ulong_long_type i)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
boost::ulong_long_type mask = ((((1uLL << (std::numeric_limits<unsigned long>::digits - 1)) - 1) << 1) | 1uLL);
unsigned shift = 0;
mpfr_t t;
mpfr_init2(t, (std::max)(static_cast<unsigned long>(std::numeric_limits<boost::ulong_long_type>::digits), static_cast<unsigned long>(multiprecision::detail::digits10_2_2(digits10))));
mpfr_set_ui(m_data, 0, GMP_RNDN);
while(i)
{
mpfr_set_ui(t, static_cast<unsigned long>(i & mask), GMP_RNDN);
if(shift)
mpfr_mul_2exp(t, t, shift, GMP_RNDN);
mpfr_add(m_data, m_data, t, GMP_RNDN);
shift += std::numeric_limits<unsigned long>::digits;
i >>= std::numeric_limits<unsigned long>::digits;
}
mpfr_clear(t);
return *this;
}
mpfr_float_imp& operator = (boost::long_long_type i)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
bool neg = i < 0;
*this = boost::multiprecision::detail::unsigned_abs(i);
if(neg)
mpfr_neg(m_data, m_data, GMP_RNDN);
return *this;
}
#endif
#endif
mpfr_float_imp& operator = (unsigned long i)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
mpfr_set_ui(m_data, i, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (long i)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
mpfr_set_si(m_data, i, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (double d)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
mpfr_set_d(m_data, d, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (long double a)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
mpfr_set_ld(m_data, a, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (const char* s)
{
if(m_data[0]._mpfr_d == 0)
mpfr_init2(m_data, multiprecision::detail::digits10_2_2(digits10 ? digits10 : get_default_precision()));
if(mpfr_set_str(m_data, s, 10, GMP_RNDN) != 0)
{
BOOST_THROW_EXCEPTION(std::runtime_error(std::string("Unable to parse string \"") + s + std::string("\"as a valid floating point number.")));
}
return *this;
}
void swap(mpfr_float_imp& o) BOOST_NOEXCEPT
{
mpfr_swap(m_data, o.m_data);
}
std::string str(std::streamsize digits, std::ios_base::fmtflags f)const
{
BOOST_ASSERT(m_data[0]._mpfr_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;
if(mpfr_inf_p(m_data))
{
if(mpfr_sgn(m_data) < 0)
result = "-inf";
else if(f & std::ios_base::showpos)
result = "+inf";
else
result = "inf";
return result;
}
if(mpfr_nan_p(m_data))
{
result = "nan";
return result;
}
if(mpfr_zero_p(m_data))
{
e = 0;
result = "0";
}
else
{
char* ps = mpfr_get_str (0, &e, 10, static_cast<std::size_t>(digits), m_data, GMP_RNDN);
--e; // To match with what our formatter expects.
if(fixed && e != -1)
{
// Oops we actually need a different number of digits to what we asked for:
mpfr_free_str(ps);
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 = mpfr_get_str (0, &e, 10, 0, m_data, GMP_RNDN);
--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;
}
}
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)
{
ps = mpfr_get_str (0, &e, 10, static_cast<std::size_t>(digits), m_data, GMP_RNDN);
--e; // To match with what our formatter expects.
}
else
{
ps = mpfr_get_str (0, &e, 10, 1, m_data, GMP_RNDN);
--e;
unsigned offset = *ps == '-' ? 1 : 0;
ps[offset] = '0';
ps[offset + 1] = 0;
}
}
result = ps ? ps : "0";
if(ps)
mpfr_free_str(ps);
}
boost::multiprecision::detail::format_float_string(result, e, org_digits, f, 0 != mpfr_zero_p(m_data));
return result;
}
~mpfr_float_imp() BOOST_NOEXCEPT
{
if(m_data[0]._mpfr_d)
mpfr_clear(m_data);
detail::mpfr_cleanup<true>::force_instantiate();
}
void negate() BOOST_NOEXCEPT
{
BOOST_ASSERT(m_data[0]._mpfr_d);
mpfr_neg(m_data, m_data, GMP_RNDN);
}
template <mpfr_allocation_type AllocationType>
int compare(const mpfr_float_backend<digits10, AllocationType>& o)const BOOST_NOEXCEPT
{
BOOST_ASSERT(m_data[0]._mpfr_d && o.m_data[0]._mpfr_d);
return mpfr_cmp(m_data, o.m_data);
}
int compare(long i)const BOOST_NOEXCEPT
{
BOOST_ASSERT(m_data[0]._mpfr_d);
return mpfr_cmp_si(m_data, i);
}
int compare(unsigned long i)const BOOST_NOEXCEPT
{
BOOST_ASSERT(m_data[0]._mpfr_d);
return mpfr_cmp_ui(m_data, i);
}
template <class V>
int compare(V v)const BOOST_NOEXCEPT
{
mpfr_float_backend<digits10, allocate_dynamic> d;
d = v;
return compare(d);
}
mpfr_t& data() BOOST_NOEXCEPT
{
BOOST_ASSERT(m_data[0]._mpfr_d);
return m_data;
}
const mpfr_t& data()const BOOST_NOEXCEPT
{
BOOST_ASSERT(m_data[0]._mpfr_d);
return m_data;
}
protected:
mpfr_t m_data;
static unsigned& get_default_precision() BOOST_NOEXCEPT
{
static unsigned val = BOOST_MULTIPRECISION_MPFR_DEFAULT_PRECISION;
return val;
}
};
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable:4127) // Conditional expression is constant
#endif
template <unsigned digits10>
struct mpfr_float_imp<digits10, allocate_stack>
{
#ifdef BOOST_HAS_LONG_LONG
typedef mpl::list<long, boost::long_long_type> signed_types;
typedef mpl::list<unsigned long, boost::ulong_long_type> unsigned_types;
#else
typedef mpl::list<long> signed_types;
typedef mpl::list<unsigned long> unsigned_types;
#endif
typedef mpl::list<double, long double> float_types;
typedef long exponent_type;
static const unsigned digits2 = (digits10 * 1000uL) / 301uL + ((digits10 * 1000uL) % 301 ? 2u : 1u);
static const unsigned limb_count = mpfr_custom_get_size(digits2) / sizeof(mp_limb_t);
~mpfr_float_imp() BOOST_NOEXCEPT
{
detail::mpfr_cleanup<true>::force_instantiate();
}
mpfr_float_imp()
{
mpfr_custom_init(m_buffer, digits2);
mpfr_custom_init_set(m_data, MPFR_NAN_KIND, 0, digits2, m_buffer);
mpfr_set_ui(m_data, 0u, GMP_RNDN);
}
mpfr_float_imp(const mpfr_float_imp& o)
{
mpfr_custom_init(m_buffer, digits2);
mpfr_custom_init_set(m_data, MPFR_NAN_KIND, 0, digits2, m_buffer);
mpfr_set(m_data, o.m_data, GMP_RNDN);
}
mpfr_float_imp& operator = (const mpfr_float_imp& o)
{
mpfr_set(m_data, o.m_data, GMP_RNDN);
return *this;
}
#ifdef BOOST_HAS_LONG_LONG
#ifdef _MPFR_H_HAVE_INTMAX_T
mpfr_float_imp& operator = (boost::ulong_long_type i)
{
mpfr_set_uj(m_data, i, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (boost::long_long_type i)
{
mpfr_set_sj(m_data, i, GMP_RNDN);
return *this;
}
#else
mpfr_float_imp& operator = (boost::ulong_long_type i)
{
boost::ulong_long_type mask = ((((1uLL << (std::numeric_limits<unsigned long>::digits - 1)) - 1) << 1) | 1uL);
unsigned shift = 0;
mpfr_t t;
mp_limb_t t_limbs[limb_count];
mpfr_custom_init(t_limbs, digits2);
mpfr_custom_init_set(t, MPFR_NAN_KIND, 0, digits2, t_limbs);
mpfr_set_ui(m_data, 0, GMP_RNDN);
while(i)
{
mpfr_set_ui(t, static_cast<unsigned long>(i & mask), GMP_RNDN);
if(shift)
mpfr_mul_2exp(t, t, shift, GMP_RNDN);
mpfr_add(m_data, m_data, t, GMP_RNDN);
shift += std::numeric_limits<unsigned long>::digits;
i >>= std::numeric_limits<unsigned long>::digits;
}
return *this;
}
mpfr_float_imp& operator = (boost::long_long_type i)
{
bool neg = i < 0;
*this = boost::multiprecision::detail::unsigned_abs(i);
if(neg)
mpfr_neg(m_data, m_data, GMP_RNDN);
return *this;
}
#endif
#endif
mpfr_float_imp& operator = (unsigned long i)
{
mpfr_set_ui(m_data, i, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (long i)
{
mpfr_set_si(m_data, i, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (double d)
{
mpfr_set_d(m_data, d, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (long double a)
{
mpfr_set_ld(m_data, a, GMP_RNDN);
return *this;
}
mpfr_float_imp& operator = (const char* s)
{
if(mpfr_set_str(m_data, s, 10, GMP_RNDN) != 0)
{
BOOST_THROW_EXCEPTION(std::runtime_error(std::string("Unable to parse string \"") + s + std::string("\"as a valid floating point number.")));
}
return *this;
}
void swap(mpfr_float_imp& o) BOOST_NOEXCEPT
{
// We have to swap by copying:
mpfr_float_imp t(*this);
*this = o;
o = t;
}
std::string str(std::streamsize digits, std::ios_base::fmtflags f)const
{
BOOST_ASSERT(m_data[0]._mpfr_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;
if(mpfr_inf_p(m_data))
{
if(mpfr_sgn(m_data) < 0)
result = "-inf";
else if(f & std::ios_base::showpos)
result = "+inf";
else
result = "inf";
return result;
}
if(mpfr_nan_p(m_data))
{
result = "nan";
return result;
}
if(mpfr_zero_p(m_data))
{
e = 0;
result = "0";
}
else
{
char* ps = mpfr_get_str (0, &e, 10, static_cast<std::size_t>(digits), m_data, GMP_RNDN);
--e; // To match with what our formatter expects.
if(fixed && e != -1)
{
// Oops we actually need a different number of digits to what we asked for:
mpfr_free_str(ps);
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 = mpfr_get_str (0, &e, 10, 0, m_data, GMP_RNDN);
--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;
}
}
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)
{
ps = mpfr_get_str (0, &e, 10, static_cast<std::size_t>(digits), m_data, GMP_RNDN);
--e; // To match with what our formatter expects.
}
else
{
ps = mpfr_get_str (0, &e, 10, 1, m_data, GMP_RNDN);
--e;
unsigned offset = *ps == '-' ? 1 : 0;
ps[offset] = '0';
ps[offset + 1] = 0;
}
}
result = ps ? ps : "0";
if(ps)
mpfr_free_str(ps);
}
boost::multiprecision::detail::format_float_string(result, e, org_digits, f, 0 != mpfr_zero_p(m_data));
return result;
}
void negate() BOOST_NOEXCEPT
{
mpfr_neg(m_data, m_data, GMP_RNDN);
}
template <mpfr_allocation_type AllocationType>
int compare(const mpfr_float_backend<digits10, AllocationType>& o)const BOOST_NOEXCEPT
{
return mpfr_cmp(m_data, o.m_data);
}
int compare(long i)const BOOST_NOEXCEPT
{
return mpfr_cmp_si(m_data, i);
}
int compare(unsigned long i)const BOOST_NOEXCEPT
{
return mpfr_cmp_ui(m_data, i);
}
template <class V>
int compare(V v)const BOOST_NOEXCEPT
{
mpfr_float_backend<digits10, allocate_stack> d;
d = v;
return compare(d);
}
mpfr_t& data() BOOST_NOEXCEPT
{
return m_data;
}
const mpfr_t& data()const BOOST_NOEXCEPT
{
return m_data;
}
protected:
mpfr_t m_data;
mp_limb_t m_buffer[limb_count];
};
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
} // namespace detail
template <unsigned digits10, mpfr_allocation_type AllocationType>
struct mpfr_float_backend : public detail::mpfr_float_imp<digits10, AllocationType>
{
mpfr_float_backend() : detail::mpfr_float_imp<digits10, AllocationType>() {}
mpfr_float_backend(const mpfr_float_backend& o) : detail::mpfr_float_imp<digits10, AllocationType>(o) {}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
mpfr_float_backend(mpfr_float_backend&& o) BOOST_NOEXCEPT : detail::mpfr_float_imp<digits10, AllocationType>(static_cast<detail::mpfr_float_imp<digits10, AllocationType>&&>(o)) {}
#endif
template <unsigned D, mpfr_allocation_type AT>
mpfr_float_backend(const mpfr_float_backend<D, AT>& val, typename enable_if_c<D <= digits10>::type* = 0)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set(this->m_data, val.data(), GMP_RNDN);
}
template <unsigned D, mpfr_allocation_type AT>
explicit mpfr_float_backend(const mpfr_float_backend<D, AT>& val, typename disable_if_c<D <= digits10>::type* = 0)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set(this->m_data, val.data(), GMP_RNDN);
}
template <unsigned D>
mpfr_float_backend(const gmp_float<D>& val, typename enable_if_c<D <= digits10>::type* = 0)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set_f(this->m_data, val.data(), GMP_RNDN);
}
template <unsigned D>
mpfr_float_backend(const gmp_float<D>& val, typename disable_if_c<D <= digits10>::type* = 0)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set_f(this->m_data, val.data(), GMP_RNDN);
}
mpfr_float_backend(const gmp_int& val)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set_z(this->m_data, val.data(), GMP_RNDN);
}
mpfr_float_backend(const gmp_rational& val)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set_q(this->m_data, val.data(), GMP_RNDN);
}
mpfr_float_backend(const mpfr_t val)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set(this->m_data, val, GMP_RNDN);
}
mpfr_float_backend(const mpf_t val)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set_f(this->m_data, val, GMP_RNDN);
}
mpfr_float_backend(const mpz_t val)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set_z(this->m_data, val, GMP_RNDN);
}
mpfr_float_backend(const mpq_t val)
: detail::mpfr_float_imp<digits10, AllocationType>()
{
mpfr_set_q(this->m_data, val, GMP_RNDN);
}
mpfr_float_backend& operator=(const mpfr_float_backend& o)
{
*static_cast<detail::mpfr_float_imp<digits10, AllocationType>*>(this) = static_cast<detail::mpfr_float_imp<digits10, AllocationType> const&>(o);
return *this;
}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
mpfr_float_backend& operator=(mpfr_float_backend&& o) BOOST_NOEXCEPT
{
*static_cast<detail::mpfr_float_imp<digits10, AllocationType>*>(this) = static_cast<detail::mpfr_float_imp<digits10, AllocationType>&&>(o);
return *this;
}
#endif
template <class V>
mpfr_float_backend& operator=(const V& v)
{
*static_cast<detail::mpfr_float_imp<digits10, AllocationType>*>(this) = v;
return *this;
}
mpfr_float_backend& operator=(const mpfr_t val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpfr_set(this->m_data, val, GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const mpf_t val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpfr_set_f(this->m_data, val, GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const mpz_t val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpfr_set_z(this->m_data, val, GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const mpq_t val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpfr_set_q(this->m_data, val, GMP_RNDN);
return *this;
}
// We don't change our precision here, this is a fixed precision type:
template <unsigned D, mpfr_allocation_type AT>
mpfr_float_backend& operator=(const mpfr_float_backend<D, AT>& val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpfr_set(this->m_data, val.data(), GMP_RNDN);
return *this;
}
template <unsigned D>
mpfr_float_backend& operator=(const gmp_float<D>& val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpfr_set_f(this->m_data, val.data(), GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const gmp_int& val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpfr_set_z(this->m_data, val.data(), GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const gmp_rational& val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(digits10));
mpfr_set_q(this->m_data, val.data(), GMP_RNDN);
return *this;
}
};
template <>
struct mpfr_float_backend<0, allocate_dynamic> : public detail::mpfr_float_imp<0, allocate_dynamic>
{
mpfr_float_backend() : detail::mpfr_float_imp<0, allocate_dynamic>() {}
mpfr_float_backend(const mpfr_t val)
: detail::mpfr_float_imp<0, allocate_dynamic>(mpfr_get_prec(val))
{
mpfr_set(this->m_data, val, GMP_RNDN);
}
mpfr_float_backend(const mpf_t val)
: detail::mpfr_float_imp<0, allocate_dynamic>(mpf_get_prec(val))
{
mpfr_set_f(this->m_data, val, GMP_RNDN);
}
mpfr_float_backend(const mpz_t val)
: detail::mpfr_float_imp<0, allocate_dynamic>()
{
mpfr_set_z(this->m_data, val, GMP_RNDN);
}
mpfr_float_backend(const mpq_t val)
: detail::mpfr_float_imp<0, allocate_dynamic>()
{
mpfr_set_q(this->m_data, val, GMP_RNDN);
}
mpfr_float_backend(const mpfr_float_backend& o) : detail::mpfr_float_imp<0, allocate_dynamic>(o) {}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
mpfr_float_backend(mpfr_float_backend&& o) BOOST_NOEXCEPT : detail::mpfr_float_imp<0, allocate_dynamic>(static_cast<detail::mpfr_float_imp<0, allocate_dynamic>&&>(o)) {}
#endif
mpfr_float_backend(const mpfr_float_backend& o, unsigned digits10)
: detail::mpfr_float_imp<0, allocate_dynamic>(digits10)
{
*this = o;
}
template <unsigned D>
mpfr_float_backend(const mpfr_float_backend<D>& val)
: detail::mpfr_float_imp<0, allocate_dynamic>(mpfr_get_prec(val.data()))
{
mpfr_set(this->m_data, val.data(), GMP_RNDN);
}
template <unsigned D>
mpfr_float_backend(const gmp_float<D>& val)
: detail::mpfr_float_imp<0, allocate_dynamic>(mpf_get_prec(val.data()))
{
mpfr_set_f(this->m_data, val.data(), GMP_RNDN);
}
mpfr_float_backend(const gmp_int& val)
: detail::mpfr_float_imp<0, allocate_dynamic>()
{
mpfr_set_z(this->m_data, val.data(), GMP_RNDN);
}
mpfr_float_backend(const gmp_rational& val)
: detail::mpfr_float_imp<0, allocate_dynamic>()
{
mpfr_set_q(this->m_data, val.data(), GMP_RNDN);
}
mpfr_float_backend& operator=(const mpfr_float_backend& o)
{
if(this != &o)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, mpfr_get_prec(o.data()));
else
mpfr_set_prec(this->m_data, mpfr_get_prec(o.data()));
mpfr_set(this->m_data, o.data(), GMP_RNDN);
}
return *this;
}
#ifndef BOOST_NO_CXX11_RVALUE_REFERENCES
mpfr_float_backend& operator=(mpfr_float_backend&& o) BOOST_NOEXCEPT
{
*static_cast<detail::mpfr_float_imp<0, allocate_dynamic>*>(this) = static_cast<detail::mpfr_float_imp<0, allocate_dynamic> &&>(o);
return *this;
}
#endif
template <class V>
mpfr_float_backend& operator=(const V& v)
{
*static_cast<detail::mpfr_float_imp<0, allocate_dynamic>*>(this) = v;
return *this;
}
mpfr_float_backend& operator=(const mpfr_t val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, mpfr_get_prec(val));
else
mpfr_set_prec(this->m_data, mpfr_get_prec(val));
mpfr_set(this->m_data, val, GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const mpf_t val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, mpf_get_prec(val));
else
mpfr_set_prec(this->m_data, mpf_get_prec(val));
mpfr_set_f(this->m_data, val, GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const mpz_t val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(get_default_precision()));
mpfr_set_z(this->m_data, val, GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const mpq_t val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(get_default_precision()));
mpfr_set_q(this->m_data, val, GMP_RNDN);
return *this;
}
template <unsigned D>
mpfr_float_backend& operator=(const mpfr_float_backend<D>& val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, mpfr_get_prec(val.data()));
else
mpfr_set_prec(this->m_data, mpfr_get_prec(val.data()));
mpfr_set(this->m_data, val.data(), GMP_RNDN);
return *this;
}
template <unsigned D>
mpfr_float_backend& operator=(const gmp_float<D>& val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, mpf_get_prec(val.data()));
else
mpfr_set_prec(this->m_data, mpf_get_prec(val.data()));
mpfr_set_f(this->m_data, val.data(), GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const gmp_int& val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(get_default_precision()));
mpfr_set_z(this->m_data, val.data(), GMP_RNDN);
return *this;
}
mpfr_float_backend& operator=(const gmp_rational& val)
{
if(this->m_data[0]._mpfr_d == 0)
mpfr_init2(this->m_data, multiprecision::detail::digits10_2_2(get_default_precision()));
mpfr_set_q(this->m_data, val.data(), GMP_RNDN);
return *this;
}
static unsigned default_precision() BOOST_NOEXCEPT
{
return get_default_precision();
}
static void default_precision(unsigned v) BOOST_NOEXCEPT
{
get_default_precision() = v;
}
unsigned precision()const BOOST_NOEXCEPT
{
return multiprecision::detail::digits2_2_10(mpfr_get_prec(this->m_data));
}
void precision(unsigned digits10) BOOST_NOEXCEPT
{
mpfr_prec_round(this->m_data, multiprecision::detail::digits10_2_2((digits10)), GMP_RNDN);
}
};
template <unsigned digits10, mpfr_allocation_type AllocationType, class T>
inline typename enable_if<is_arithmetic<T>, bool>::type eval_eq(const mpfr_float_backend<digits10, AllocationType>& a, const T& b) BOOST_NOEXCEPT
{
return a.compare(b) == 0;
}
template <unsigned digits10, mpfr_allocation_type AllocationType, class T>
inline typename enable_if<is_arithmetic<T>, bool>::type eval_lt(const mpfr_float_backend<digits10, AllocationType>& a, const T& b) BOOST_NOEXCEPT
{
return a.compare(b) < 0;
}
template <unsigned digits10, mpfr_allocation_type AllocationType, class T>
inline typename enable_if<is_arithmetic<T>, bool>::type eval_gt(const mpfr_float_backend<digits10, AllocationType>& a, const T& b) BOOST_NOEXCEPT
{
return a.compare(b) > 0;
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_add(mpfr_float_backend<D1, A1>& result, const mpfr_float_backend<D2, A2>& o)
{
mpfr_add(result.data(), result.data(), o.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_subtract(mpfr_float_backend<D1, A1>& result, const mpfr_float_backend<D2, A2>& o)
{
mpfr_sub(result.data(), result.data(), o.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_multiply(mpfr_float_backend<D1, A1>& result, const mpfr_float_backend<D2, A2>& o)
{
if((void*)&o == (void*)&result)
mpfr_sqr(result.data(), o.data(), GMP_RNDN);
else
mpfr_mul(result.data(), result.data(), o.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_divide(mpfr_float_backend<D1, A1>& result, const mpfr_float_backend<D2, A2>& o)
{
mpfr_div(result.data(), result.data(), o.data(), GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_add(mpfr_float_backend<digits10, AllocationType>& result, unsigned long i)
{
mpfr_add_ui(result.data(), result.data(), i, GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_subtract(mpfr_float_backend<digits10, AllocationType>& result, unsigned long i)
{
mpfr_sub_ui(result.data(), result.data(), i, GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_multiply(mpfr_float_backend<digits10, AllocationType>& result, unsigned long i)
{
mpfr_mul_ui(result.data(), result.data(), i, GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_divide(mpfr_float_backend<digits10, AllocationType>& result, unsigned long i)
{
mpfr_div_ui(result.data(), result.data(), i, GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_add(mpfr_float_backend<digits10, AllocationType>& result, long i)
{
if(i > 0)
mpfr_add_ui(result.data(), result.data(), i, GMP_RNDN);
else
mpfr_sub_ui(result.data(), result.data(), boost::multiprecision::detail::unsigned_abs(i), GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_subtract(mpfr_float_backend<digits10, AllocationType>& result, long i)
{
if(i > 0)
mpfr_sub_ui(result.data(), result.data(), i, GMP_RNDN);
else
mpfr_add_ui(result.data(), result.data(), boost::multiprecision::detail::unsigned_abs(i), GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_multiply(mpfr_float_backend<digits10, AllocationType>& result, long i)
{
mpfr_mul_ui(result.data(), result.data(), boost::multiprecision::detail::unsigned_abs(i), GMP_RNDN);
if(i < 0)
mpfr_neg(result.data(), result.data(), GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_divide(mpfr_float_backend<digits10, AllocationType>& result, long i)
{
mpfr_div_ui(result.data(), result.data(), boost::multiprecision::detail::unsigned_abs(i), GMP_RNDN);
if(i < 0)
mpfr_neg(result.data(), result.data(), GMP_RNDN);
}
//
// Specialised 3 arg versions of the basic operators:
//
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2, unsigned D3>
inline void eval_add(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, const mpfr_float_backend<D3>& y)
{
mpfr_add(a.data(), x.data(), y.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_add(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, unsigned long y)
{
mpfr_add_ui(a.data(), x.data(), y, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_add(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, long y)
{
if(y < 0)
mpfr_sub_ui(a.data(), x.data(), boost::multiprecision::detail::unsigned_abs(y), GMP_RNDN);
else
mpfr_add_ui(a.data(), x.data(), y, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_add(mpfr_float_backend<D1, A1>& a, unsigned long x, const mpfr_float_backend<D2, A2>& y)
{
mpfr_add_ui(a.data(), y.data(), x, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_add(mpfr_float_backend<D1, A1>& a, long x, const mpfr_float_backend<D2, A2>& y)
{
if(x < 0)
{
mpfr_ui_sub(a.data(), boost::multiprecision::detail::unsigned_abs(x), y.data(), GMP_RNDN);
mpfr_neg(a.data(), a.data(), GMP_RNDN);
}
else
mpfr_add_ui(a.data(), y.data(), x, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2, unsigned D3>
inline void eval_subtract(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, const mpfr_float_backend<D3>& y)
{
mpfr_sub(a.data(), x.data(), y.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_subtract(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, unsigned long y)
{
mpfr_sub_ui(a.data(), x.data(), y, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_subtract(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, long y)
{
if(y < 0)
mpfr_add_ui(a.data(), x.data(), boost::multiprecision::detail::unsigned_abs(y), GMP_RNDN);
else
mpfr_sub_ui(a.data(), x.data(), y, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_subtract(mpfr_float_backend<D1, A1>& a, unsigned long x, const mpfr_float_backend<D2, A2>& y)
{
mpfr_ui_sub(a.data(), x, y.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_subtract(mpfr_float_backend<D1, A1>& a, long x, const mpfr_float_backend<D2, A2>& y)
{
if(x < 0)
{
mpfr_add_ui(a.data(), y.data(), boost::multiprecision::detail::unsigned_abs(x), GMP_RNDN);
mpfr_neg(a.data(), a.data(), GMP_RNDN);
}
else
mpfr_ui_sub(a.data(), x, y.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2, unsigned D3>
inline void eval_multiply(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, const mpfr_float_backend<D3>& y)
{
if((void*)&x == (void*)&y)
mpfr_sqr(a.data(), x.data(), GMP_RNDN);
else
mpfr_mul(a.data(), x.data(), y.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_multiply(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, unsigned long y)
{
mpfr_mul_ui(a.data(), x.data(), y, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_multiply(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, long y)
{
if(y < 0)
{
mpfr_mul_ui(a.data(), x.data(), boost::multiprecision::detail::unsigned_abs(y), GMP_RNDN);
a.negate();
}
else
mpfr_mul_ui(a.data(), x.data(), y, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_multiply(mpfr_float_backend<D1, A1>& a, unsigned long x, const mpfr_float_backend<D2, A2>& y)
{
mpfr_mul_ui(a.data(), y.data(), x, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_multiply(mpfr_float_backend<D1, A1>& a, long x, const mpfr_float_backend<D2, A2>& y)
{
if(x < 0)
{
mpfr_mul_ui(a.data(), y.data(), boost::multiprecision::detail::unsigned_abs(x), GMP_RNDN);
mpfr_neg(a.data(), a.data(), GMP_RNDN);
}
else
mpfr_mul_ui(a.data(), y.data(), x, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2, unsigned D3>
inline void eval_divide(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, const mpfr_float_backend<D3>& y)
{
mpfr_div(a.data(), x.data(), y.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_divide(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, unsigned long y)
{
mpfr_div_ui(a.data(), x.data(), y, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_divide(mpfr_float_backend<D1, A1>& a, const mpfr_float_backend<D2, A2>& x, long y)
{
if(y < 0)
{
mpfr_div_ui(a.data(), x.data(), boost::multiprecision::detail::unsigned_abs(y), GMP_RNDN);
a.negate();
}
else
mpfr_div_ui(a.data(), x.data(), y, GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_divide(mpfr_float_backend<D1, A1>& a, unsigned long x, const mpfr_float_backend<D2, A2>& y)
{
mpfr_ui_div(a.data(), x, y.data(), GMP_RNDN);
}
template <unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
inline void eval_divide(mpfr_float_backend<D1, A1>& a, long x, const mpfr_float_backend<D2, A2>& y)
{
if(x < 0)
{
mpfr_ui_div(a.data(), boost::multiprecision::detail::unsigned_abs(x), y.data(), GMP_RNDN);
mpfr_neg(a.data(), a.data(), GMP_RNDN);
}
else
mpfr_ui_div(a.data(), x, y.data(), GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline bool eval_is_zero(const mpfr_float_backend<digits10, AllocationType>& val) BOOST_NOEXCEPT
{
return 0 != mpfr_zero_p(val.data());
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline int eval_get_sign(const mpfr_float_backend<digits10, AllocationType>& val) BOOST_NOEXCEPT
{
return mpfr_sgn(val.data());
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_convert_to(unsigned long* result, const mpfr_float_backend<digits10, AllocationType>& val)
{
if(mpfr_nan_p(val.data()))
{
BOOST_THROW_EXCEPTION(std::runtime_error("Could not convert NaN to integer."));
}
*result = mpfr_get_ui(val.data(), GMP_RNDZ);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_convert_to(long* result, const mpfr_float_backend<digits10, AllocationType>& val)
{
if(mpfr_nan_p(val.data()))
{
BOOST_THROW_EXCEPTION(std::runtime_error("Could not convert NaN to integer."));
}
*result = mpfr_get_si(val.data(), GMP_RNDZ);
}
#ifdef _MPFR_H_HAVE_INTMAX_T
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_convert_to(boost::ulong_long_type* result, const mpfr_float_backend<digits10, AllocationType>& val)
{
if(mpfr_nan_p(val.data()))
{
BOOST_THROW_EXCEPTION(std::runtime_error("Could not convert NaN to integer."));
}
*result = mpfr_get_uj(val.data(), GMP_RNDZ);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_convert_to(boost::long_long_type* result, const mpfr_float_backend<digits10, AllocationType>& val)
{
if(mpfr_nan_p(val.data()))
{
BOOST_THROW_EXCEPTION(std::runtime_error("Could not convert NaN to integer."));
}
*result = mpfr_get_sj(val.data(), GMP_RNDZ);
}
#endif
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_convert_to(float* result, const mpfr_float_backend<digits10, AllocationType>& val) BOOST_NOEXCEPT
{
*result = mpfr_get_flt(val.data(), GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_convert_to(double* result, const mpfr_float_backend<digits10, AllocationType>& val) BOOST_NOEXCEPT
{
*result = mpfr_get_d(val.data(), GMP_RNDN);
}
template <unsigned digits10, mpfr_allocation_type AllocationType>
inline void eval_convert_to(long double* result, const mpfr_float_backend<digits10, AllocationType>& val) BOOST_NOEXCEPT
{
*result = mpfr_get_ld(val.data(), GMP_RNDN);
}
//
// Native non-member operations:
//
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_sqrt(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val)
{
mpfr_sqrt(result.data(), val.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_abs(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val)
{
mpfr_abs(result.data(), val.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_fabs(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val)
{
mpfr_abs(result.data(), val.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_ceil(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val)
{
mpfr_ceil(result.data(), val.data());
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_floor(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val)
{
mpfr_floor(result.data(), val.data());
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_trunc(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val)
{
if(0 == mpfr_number_p(val.data()))
{
result = boost::math::policies::raise_rounding_error("boost::multiprecision::trunc<%1%>(%1%)", 0, number<mpfr_float_backend<Digits10, AllocateType> >(val), number<mpfr_float_backend<Digits10, AllocateType> >(val), boost::math::policies::policy<>()).backend();
return;
}
mpfr_trunc(result.data(), val.data());
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_ldexp(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val, long e)
{
if(e > 0)
mpfr_mul_2exp(result.data(), val.data(), e, GMP_RNDN);
else if(e < 0)
mpfr_div_2exp(result.data(), val.data(), -e, GMP_RNDN);
else
result = val;
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_frexp(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val, int* e)
{
long v;
mpfr_get_d_2exp(&v, val.data(), GMP_RNDN);
*e = v;
eval_ldexp(result, val, -v);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_frexp(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& val, long* e)
{
mpfr_get_d_2exp(e, val.data(), GMP_RNDN);
return eval_ldexp(result, val, -*e);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline int eval_fpclassify(const mpfr_float_backend<Digits10, AllocateType>& val) BOOST_NOEXCEPT
{
return mpfr_inf_p(val.data()) ? FP_INFINITE : mpfr_nan_p(val.data()) ? FP_NAN : mpfr_zero_p(val.data()) ? FP_ZERO : FP_NORMAL;
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_pow(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& b, const mpfr_float_backend<Digits10, AllocateType>& e)
{
mpfr_pow(result.data(), b.data(), e.data(), GMP_RNDN);
}
#ifdef BOOST_MSVC
//
// The enable_if usage below doesn't work with msvc - but only when
// certain other enable_if usages are defined first. It's a capricious
// and rather annoying compiler bug in other words....
//
# define BOOST_MP_ENABLE_IF_WORKAROUND (Digits10 || !Digits10) &&
#else
#define BOOST_MP_ENABLE_IF_WORKAROUND
#endif
template <unsigned Digits10, mpfr_allocation_type AllocateType, class Integer>
inline typename enable_if<mpl::and_<is_signed<Integer>, mpl::bool_<BOOST_MP_ENABLE_IF_WORKAROUND (sizeof(Integer) <= sizeof(long))> > >::type
eval_pow(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& b, const Integer& e)
{
mpfr_pow_si(result.data(), b.data(), e, GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType, class Integer>
inline typename enable_if<mpl::and_<is_unsigned<Integer>, mpl::bool_<BOOST_MP_ENABLE_IF_WORKAROUND (sizeof(Integer) <= sizeof(long))> > >::type
eval_pow(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& b, const Integer& e)
{
mpfr_pow_ui(result.data(), b.data(), e, GMP_RNDN);
}
#undef BOOST_MP_ENABLE_IF_WORKAROUND
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_exp(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_exp(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_exp2(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_exp2(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_log(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_log(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_log10(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_log10(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_sin(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_sin(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_cos(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_cos(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_tan(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_tan(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_asin(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_asin(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_acos(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_acos(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_atan(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_atan(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_atan2(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg1, const mpfr_float_backend<Digits10, AllocateType>& arg2)
{
mpfr_atan2(result.data(), arg1.data(), arg2.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_sinh(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_sinh(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_cosh(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_cosh(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_tanh(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_tanh(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_log2(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg)
{
mpfr_log2(result.data(), arg.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_modf(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& arg, mpfr_float_backend<Digits10, AllocateType>* pipart)
{
if(0 == pipart)
{
mpfr_float_backend<Digits10, AllocateType> ipart;
mpfr_modf(ipart.data(), result.data(), arg.data(), GMP_RNDN);
}
else
{
mpfr_modf(pipart->data(), result.data(), arg.data(), GMP_RNDN);
}
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_remainder(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& a, const mpfr_float_backend<Digits10, AllocateType>& b)
{
mpfr_remainder(result.data(), a.data(), b.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_remquo(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& a, const mpfr_float_backend<Digits10, AllocateType>& b, int* pi)
{
long l;
mpfr_remquo(result.data(), &l, a.data(), b.data(), GMP_RNDN);
if(pi) *pi = l;
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_fmod(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& a, const mpfr_float_backend<Digits10, AllocateType>& b)
{
mpfr_fmod(result.data(), a.data(), b.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_multiply_add(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& a, const mpfr_float_backend<Digits10, AllocateType>& b)
{
mpfr_fma(result.data(), a.data(), b.data(), result.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_multiply_add(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& a, const mpfr_float_backend<Digits10, AllocateType>& b, const mpfr_float_backend<Digits10, AllocateType>& c)
{
mpfr_fma(result.data(), a.data(), b.data(), c.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_multiply_subtract(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& a, const mpfr_float_backend<Digits10, AllocateType>& b)
{
mpfr_fms(result.data(), a.data(), b.data(), result.data(), GMP_RNDN);
result.negate();
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline void eval_multiply_subtract(mpfr_float_backend<Digits10, AllocateType>& result, const mpfr_float_backend<Digits10, AllocateType>& a, const mpfr_float_backend<Digits10, AllocateType>& b, const mpfr_float_backend<Digits10, AllocateType>& c)
{
mpfr_fms(result.data(), a.data(), b.data(), c.data(), GMP_RNDN);
}
template <unsigned Digits10, mpfr_allocation_type AllocateType>
inline std::size_t hash_value(const mpfr_float_backend<Digits10, AllocateType>& val)
{
std::size_t result = 0;
std::size_t len = val.data()[0]._mpfr_prec / mp_bits_per_limb;
if(val.data()[0]._mpfr_prec % mp_bits_per_limb)
++len;
for(int i = 0; i < len; ++i)
boost::hash_combine(result, val.data()[0]._mpfr_d[i]);
boost::hash_combine(result, val.data()[0]._mpfr_exp);
boost::hash_combine(result, val.data()[0]._mpfr_sign);
return result;
}
} // namespace backends
#ifdef BOOST_NO_SFINAE_EXPR
namespace detail{
template<unsigned D1, unsigned D2, mpfr_allocation_type A1, mpfr_allocation_type A2>
struct is_explicitly_convertible<backends::mpfr_float_backend<D1, A1>, backends::mpfr_float_backend<D2, A2> > : public mpl::true_ {};
}
#endif
template<>
struct number_category<detail::canonical<mpfr_t, backends::mpfr_float_backend<0> >::type> : public mpl::int_<number_kind_floating_point>{};
using boost::multiprecision::backends::mpfr_float_backend;
typedef number<mpfr_float_backend<50> > mpfr_float_50;
typedef number<mpfr_float_backend<100> > mpfr_float_100;
typedef number<mpfr_float_backend<500> > mpfr_float_500;
typedef number<mpfr_float_backend<1000> > mpfr_float_1000;
typedef number<mpfr_float_backend<0> > mpfr_float;
typedef number<mpfr_float_backend<50, allocate_stack> > static_mpfr_float_50;
typedef number<mpfr_float_backend<100, allocate_stack> > static_mpfr_float_100;
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline int signbit BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
return (arg.backend().data()[0]._mpfr_sign < 0) ? 1 : 0;
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> copysign BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& a, const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& b)
{
return (boost::multiprecision::signbit)(a) != (boost::multiprecision::signbit)(b) ? boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>(-a) : a;
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline int signbit BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates>& arg)
{
return (arg.backend().value().data()[0]._mpfr_sign < 0) ? 1 : 0;
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> copysign BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates>& a, const boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates>& b)
{
return (boost::multiprecision::signbit)(a) != (boost::multiprecision::signbit)(b) ? boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates>(-a) : a;
}
} // namespace multiprecision
namespace math{
using boost::multiprecision::signbit;
using boost::multiprecision::copysign;
namespace tools{
template <>
inline int digits<boost::multiprecision::mpfr_float>()
#ifdef BOOST_MATH_NOEXCEPT
BOOST_NOEXCEPT
#endif
{
return multiprecision::detail::digits10_2_2(boost::multiprecision::mpfr_float::default_precision());
}
template <>
inline int digits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, boost::multiprecision::et_off> >()
#ifdef BOOST_MATH_NOEXCEPT
BOOST_NOEXCEPT
#endif
{
return multiprecision::detail::digits10_2_2(boost::multiprecision::mpfr_float::default_precision());
}
template <>
inline boost::multiprecision::mpfr_float
max_value<boost::multiprecision::mpfr_float>()
{
boost::multiprecision::mpfr_float result(0.5);
mpfr_mul_2exp(result.backend().data(), result.backend().data(), mpfr_get_emax(), GMP_RNDN);
BOOST_ASSERT(mpfr_number_p(result.backend().data()));
return result;
}
template <>
inline boost::multiprecision::mpfr_float
min_value<boost::multiprecision::mpfr_float>()
{
boost::multiprecision::mpfr_float result(0.5);
mpfr_div_2exp(result.backend().data(), result.backend().data(), -mpfr_get_emin(), GMP_RNDN);
BOOST_ASSERT(mpfr_number_p(result.backend().data()));
return result;
}
template <>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, boost::multiprecision::et_off>
max_value<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, boost::multiprecision::et_off> >()
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, boost::multiprecision::et_off> result(0.5);
mpfr_mul_2exp(result.backend().data(), result.backend().data(), mpfr_get_emax(), GMP_RNDN);
BOOST_ASSERT(mpfr_number_p(result.backend().data()));
return result;
}
template <>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, boost::multiprecision::et_off>
min_value<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, boost::multiprecision::et_off> >()
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, boost::multiprecision::et_off> result(0.5);
mpfr_div_2exp(result.backend().data(), result.backend().data(), -mpfr_get_emin(), GMP_RNDN);
BOOST_ASSERT(mpfr_number_p(result.backend().data()));
return result;
}
template <>
inline int digits<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float::backend_type> > >()
#ifdef BOOST_MATH_NOEXCEPT
BOOST_NOEXCEPT
#endif
{
return multiprecision::detail::digits10_2_2(boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float::backend_type> >::default_precision());
}
template <>
inline int digits<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<0> >, boost::multiprecision::et_off> >()
#ifdef BOOST_MATH_NOEXCEPT
BOOST_NOEXCEPT
#endif
{
return multiprecision::detail::digits10_2_2(boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float::backend_type> >::default_precision());
}
template <>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float::backend_type> >
max_value<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float::backend_type> > >()
{
return max_value<boost::multiprecision::mpfr_float>().backend();
}
template <>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float::backend_type> >
min_value<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float::backend_type> > >()
{
return min_value<boost::multiprecision::mpfr_float>().backend();
}
template <>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<0> >, boost::multiprecision::et_off>
max_value<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<0> >, boost::multiprecision::et_off> >()
{
return max_value<boost::multiprecision::mpfr_float>().backend();
}
template <>
inline boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<0> >, boost::multiprecision::et_off>
min_value<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<0> >, boost::multiprecision::et_off> >()
{
return min_value<boost::multiprecision::mpfr_float>().backend();
}
} // namespace tools
namespace constants{ namespace detail{
template <class T> struct constant_pi;
template <class T> struct constant_ln_two;
template <class T> struct constant_euler;
template <class T> struct constant_catalan;
namespace detail{
template <class T, int N>
struct mpfr_constant_initializer
{
static void force_instantiate()
{
init.force_instantiate();
}
private:
struct initializer
{
initializer()
{
T::get(mpl::int_<N>());
}
void force_instantiate()const{}
};
static const initializer init;
};
template <class T, int N>
typename mpfr_constant_initializer<T, N>::initializer const mpfr_constant_initializer<T, N>::init;
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
struct constant_pi<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result_type;
template<int N>
static inline const result_type& get(const mpl::int_<N>&)
{
detail::mpfr_constant_initializer<constant_pi<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >, N>::force_instantiate();
static result_type result;
static bool has_init = false;
if(!has_init)
{
mpfr_const_pi(result.backend().data(), GMP_RNDN);
has_init = true;
}
return result;
}
static inline const result_type get(const mpl::int_<0>&)
{
result_type result;
mpfr_const_pi(result.backend().data(), GMP_RNDN);
return result;
}
};
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
struct constant_ln_two<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result_type;
template<int N>
static inline const result_type& get(const mpl::int_<N>&)
{
detail::mpfr_constant_initializer<constant_ln_two<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >, N>::force_instantiate();
static result_type result;
static bool init = false;
if(!init)
{
mpfr_const_log2(result.backend().data(), GMP_RNDN);
init = true;
}
return result;
}
static inline const result_type get(const mpl::int_<0>&)
{
result_type result;
mpfr_const_log2(result.backend().data(), GMP_RNDN);
return result;
}
};
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
struct constant_euler<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result_type;
template<int N>
static inline const result_type& get(const mpl::int_<N>&)
{
detail::mpfr_constant_initializer<constant_euler<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >, N>::force_instantiate();
static result_type result;
static bool init = false;
if(!init)
{
mpfr_const_euler(result.backend().data(), GMP_RNDN);
init = true;
}
return result;
}
static inline const result_type get(const mpl::int_<0>&)
{
result_type result;
mpfr_const_euler(result.backend().data(), GMP_RNDN);
return result;
}
};
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
struct constant_catalan<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result_type;
template<int N>
static inline const result_type& get(const mpl::int_<N>&)
{
detail::mpfr_constant_initializer<constant_catalan<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >, N>::force_instantiate();
static result_type result;
static bool init = false;
if(!init)
{
mpfr_const_catalan(result.backend().data(), GMP_RNDN);
init = true;
}
return result;
}
static inline const result_type get(const mpl::int_<0>&)
{
result_type result;
mpfr_const_catalan(result.backend().data(), GMP_RNDN);
return result;
}
};
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
struct constant_pi<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> result_type;
template<int N>
static inline const result_type& get(const mpl::int_<N>&)
{
detail::mpfr_constant_initializer<constant_pi<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> >, N>::force_instantiate();
static result_type result;
static bool has_init = false;
if(!has_init)
{
mpfr_const_pi(result.backend().value().data(), GMP_RNDN);
has_init = true;
}
return result;
}
static inline const result_type get(const mpl::int_<0>&)
{
result_type result;
mpfr_const_pi(result.backend().value().data(), GMP_RNDN);
return result;
}
};
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
struct constant_ln_two<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> result_type;
template<int N>
static inline const result_type& get(const mpl::int_<N>&)
{
detail::mpfr_constant_initializer<constant_ln_two<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> >, N>::force_instantiate();
static result_type result;
static bool init = false;
if(!init)
{
mpfr_const_log2(result.backend().value().data(), GMP_RNDN);
init = true;
}
return result;
}
static inline const result_type get(const mpl::int_<0>&)
{
result_type result;
mpfr_const_log2(result.backend().value().data(), GMP_RNDN);
return result;
}
};
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
struct constant_euler<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> result_type;
template<int N>
static inline const result_type& get(const mpl::int_<N>&)
{
detail::mpfr_constant_initializer<constant_euler<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> >, N>::force_instantiate();
static result_type result;
static bool init = false;
if(!init)
{
mpfr_const_euler(result.backend().value().data(), GMP_RNDN);
init = true;
}
return result;
}
static inline const result_type get(const mpl::int_<0>&)
{
result_type result;
mpfr_const_euler(result.backend().value().data(), GMP_RNDN);
return result;
}
};
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
struct constant_catalan<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> result_type;
template<int N>
static inline const result_type& get(const mpl::int_<N>&)
{
detail::mpfr_constant_initializer<constant_catalan<boost::multiprecision::number<boost::multiprecision::debug_adaptor<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType> >, ExpressionTemplates> >, N>::force_instantiate();
static result_type result;
static bool init = false;
if(!init)
{
mpfr_const_catalan(result.backend().value().data(), GMP_RNDN);
init = true;
}
return result;
}
static inline const result_type get(const mpl::int_<0>&)
{
result_type result;
mpfr_const_catalan(result.backend().value().data(), GMP_RNDN);
return result;
}
};
}} // namespaces
} // namespace multiprecision
namespace multiprecision {
//
// Overloaded special functions which call native mpfr routines:
//
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> asinh BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_asinh(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> acosh BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_acosh(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> atanh BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_atanh(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> cbrt BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_cbrt(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> erf BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_erf(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> erfc BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_erfc(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> expm1 BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_expm1(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> lgamma BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_lngamma(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> tgamma BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_gamma(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
inline boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> log1p BOOST_PREVENT_MACRO_SUBSTITUTION(const boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates>& arg)
{
boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> result;
mpfr_log1p(result.backend().data(), arg.backend().data(), GMP_RNDN);
return BOOST_MP_MOVE(result);
}
}
} // namespace boost
namespace std{
//
// numeric_limits [partial] specializations for the types declared in this header:
//
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
class numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> number_type;
public:
BOOST_STATIC_CONSTEXPR bool is_specialized = true;
static number_type (min)()
{
initializer.do_nothing();
static std::pair<bool, number_type> value;
if(!value.first)
{
value.first = true;
value.second = 0.5;
mpfr_div_2exp(value.second.backend().data(), value.second.backend().data(), -mpfr_get_emin(), GMP_RNDN);
}
return value.second;
}
static number_type (max)()
{
initializer.do_nothing();
static std::pair<bool, number_type> value;
if(!value.first)
{
value.first = true;
value.second = 0.5;
mpfr_mul_2exp(value.second.backend().data(), value.second.backend().data(), mpfr_get_emax(), GMP_RNDN);
}
return value.second;
}
BOOST_STATIC_CONSTEXPR number_type lowest()
{
return -(max)();
}
BOOST_STATIC_CONSTEXPR int digits = static_cast<int>((Digits10 * 1000L) / 301L + ((Digits10 * 1000L) % 301 ? 2 : 1));
BOOST_STATIC_CONSTEXPR int digits10 = Digits10;
// Is this really correct???
BOOST_STATIC_CONSTEXPR int max_digits10 = Digits10 + 3;
BOOST_STATIC_CONSTEXPR bool is_signed = true;
BOOST_STATIC_CONSTEXPR bool is_integer = false;
BOOST_STATIC_CONSTEXPR bool is_exact = false;
BOOST_STATIC_CONSTEXPR int radix = 2;
static number_type epsilon()
{
initializer.do_nothing();
static std::pair<bool, number_type> value;
if(!value.first)
{
value.first = true;
value.second = 1;
mpfr_div_2exp(value.second.backend().data(), value.second.backend().data(), std::numeric_limits<number_type>::digits - 1, GMP_RNDN);
}
return value.second;
}
// What value should this be????
static number_type round_error()
{
// returns epsilon/2
initializer.do_nothing();
static std::pair<bool, number_type> value;
if(!value.first)
{
value.first = true;
value.second = 1;
mpfr_div_2exp(value.second.backend().data(), value.second.backend().data(), 1, GMP_RNDN);
}
return value.second;
}
BOOST_STATIC_CONSTEXPR long min_exponent = MPFR_EMIN_DEFAULT;
BOOST_STATIC_CONSTEXPR long min_exponent10 = (MPFR_EMIN_DEFAULT / 1000) * 301L;
BOOST_STATIC_CONSTEXPR long max_exponent = MPFR_EMAX_DEFAULT;
BOOST_STATIC_CONSTEXPR long max_exponent10 = (MPFR_EMAX_DEFAULT / 1000) * 301L;
BOOST_STATIC_CONSTEXPR bool has_infinity = true;
BOOST_STATIC_CONSTEXPR bool has_quiet_NaN = true;
BOOST_STATIC_CONSTEXPR bool has_signaling_NaN = false;
BOOST_STATIC_CONSTEXPR float_denorm_style has_denorm = denorm_absent;
BOOST_STATIC_CONSTEXPR bool has_denorm_loss = false;
static number_type infinity()
{
// returns epsilon/2
initializer.do_nothing();
static std::pair<bool, number_type> value;
if(!value.first)
{
value.first = true;
value.second = 1;
mpfr_set_inf(value.second.backend().data(), 1);
}
return value.second;
}
static number_type quiet_NaN()
{
// returns epsilon/2
initializer.do_nothing();
static std::pair<bool, number_type> value;
if(!value.first)
{
value.first = true;
value.second = 1;
mpfr_set_nan(value.second.backend().data());
}
return value.second;
}
BOOST_STATIC_CONSTEXPR number_type signaling_NaN()
{
return number_type(0);
}
BOOST_STATIC_CONSTEXPR number_type denorm_min() { return number_type(0); }
BOOST_STATIC_CONSTEXPR bool is_iec559 = false;
BOOST_STATIC_CONSTEXPR bool is_bounded = true;
BOOST_STATIC_CONSTEXPR bool is_modulo = false;
BOOST_STATIC_CONSTEXPR bool traps = true;
BOOST_STATIC_CONSTEXPR bool tinyness_before = false;
BOOST_STATIC_CONSTEXPR float_round_style round_style = round_to_nearest;
private:
struct data_initializer
{
data_initializer()
{
std::numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<digits10, AllocateType> > >::epsilon();
std::numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<digits10, AllocateType> > >::round_error();
(std::numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<digits10, AllocateType> > >::min)();
(std::numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<digits10, AllocateType> > >::max)();
std::numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<digits10, AllocateType> > >::infinity();
std::numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<digits10, AllocateType> > >::quiet_NaN();
}
void do_nothing()const{}
};
static const data_initializer initializer;
};
template<unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
const typename numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::data_initializer numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::initializer;
#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::digits;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::digits10;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::max_digits10;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::is_signed;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::is_integer;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::is_exact;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::radix;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST long numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::min_exponent;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST long numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::min_exponent10;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST long numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::max_exponent;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST long numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::max_exponent10;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::has_infinity;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::has_quiet_NaN;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::has_signaling_NaN;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::has_denorm;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::has_denorm_loss;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::is_iec559;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::is_bounded;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::is_modulo;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::traps;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::tinyness_before;
template <unsigned Digits10, boost::multiprecision::mpfr_allocation_type AllocateType, boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<Digits10, AllocateType>, ExpressionTemplates> >::round_style;
#endif
template<boost::multiprecision::expression_template_option ExpressionTemplates>
class numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >
{
typedef boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> number_type;
public:
BOOST_STATIC_CONSTEXPR bool is_specialized = false;
static number_type (min)() { return number_type(0); }
static number_type (max)() { return number_type(0); }
static number_type lowest() { return number_type(0); }
BOOST_STATIC_CONSTEXPR int digits = 0;
BOOST_STATIC_CONSTEXPR int digits10 = 0;
BOOST_STATIC_CONSTEXPR int max_digits10 = 0;
BOOST_STATIC_CONSTEXPR bool is_signed = false;
BOOST_STATIC_CONSTEXPR bool is_integer = false;
BOOST_STATIC_CONSTEXPR bool is_exact = false;
BOOST_STATIC_CONSTEXPR int radix = 0;
static number_type epsilon() { return number_type(0); }
static number_type round_error() { return number_type(0); }
BOOST_STATIC_CONSTEXPR int min_exponent = 0;
BOOST_STATIC_CONSTEXPR int min_exponent10 = 0;
BOOST_STATIC_CONSTEXPR int max_exponent = 0;
BOOST_STATIC_CONSTEXPR int max_exponent10 = 0;
BOOST_STATIC_CONSTEXPR bool has_infinity = false;
BOOST_STATIC_CONSTEXPR bool has_quiet_NaN = false;
BOOST_STATIC_CONSTEXPR bool has_signaling_NaN = false;
BOOST_STATIC_CONSTEXPR float_denorm_style has_denorm = denorm_absent;
BOOST_STATIC_CONSTEXPR bool has_denorm_loss = false;
static number_type infinity() { return number_type(0); }
static number_type quiet_NaN() { return number_type(0); }
static number_type signaling_NaN() { return number_type(0); }
static number_type denorm_min() { return number_type(0); }
BOOST_STATIC_CONSTEXPR bool is_iec559 = false;
BOOST_STATIC_CONSTEXPR bool is_bounded = false;
BOOST_STATIC_CONSTEXPR bool is_modulo = false;
BOOST_STATIC_CONSTEXPR bool traps = false;
BOOST_STATIC_CONSTEXPR bool tinyness_before = false;
BOOST_STATIC_CONSTEXPR float_round_style round_style = round_toward_zero;
};
#ifndef BOOST_NO_INCLASS_MEMBER_INITIALIZATION
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::digits;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::digits10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::max_digits10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::is_signed;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::is_integer;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::is_exact;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::radix;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::min_exponent;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::min_exponent10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::max_exponent;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST int numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::max_exponent10;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::has_infinity;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::has_quiet_NaN;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::has_signaling_NaN;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST float_denorm_style numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::has_denorm;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::has_denorm_loss;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::is_iec559;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::is_bounded;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::is_modulo;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::traps;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST bool numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::tinyness_before;
template <boost::multiprecision::expression_template_option ExpressionTemplates>
BOOST_CONSTEXPR_OR_CONST float_round_style numeric_limits<boost::multiprecision::number<boost::multiprecision::mpfr_float_backend<0>, ExpressionTemplates> >::round_style;
#endif
} // namespace std
#endif
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