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thirdparty/source/boost_1_61_0/boost/math/policies/policy.hpp vendored Normal file
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// fp_traits.hpp
#ifndef BOOST_MATH_FP_TRAITS_HPP
#define BOOST_MATH_FP_TRAITS_HPP
// Copyright (c) 2006 Johan Rade
// 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)
/*
To support old compilers, care has been taken to avoid partial template
specialization and meta function forwarding.
With these techniques, the code could be simplified.
*/
#if defined(__vms) && defined(__DECCXX) && !__IEEE_FLOAT
// The VAX floating point formats are used (for float and double)
# define BOOST_FPCLASSIFY_VAX_FORMAT
#endif
#include <cstring>
#include <boost/assert.hpp>
#include <boost/cstdint.hpp>
#include <boost/detail/endian.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_floating_point.hpp>
#ifdef BOOST_NO_STDC_NAMESPACE
namespace std{ using ::memcpy; }
#endif
#ifndef FP_NORMAL
#define FP_ZERO 0
#define FP_NORMAL 1
#define FP_INFINITE 2
#define FP_NAN 3
#define FP_SUBNORMAL 4
#else
#define BOOST_HAS_FPCLASSIFY
#ifndef fpclassify
# if (defined(__GLIBCPP__) || defined(__GLIBCXX__)) \
&& defined(_GLIBCXX_USE_C99_MATH) \
&& !(defined(_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC) \
&& (_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC != 0))
# ifdef _STLP_VENDOR_CSTD
# if _STLPORT_VERSION >= 0x520
# define BOOST_FPCLASSIFY_PREFIX ::__std_alias::
# else
# define BOOST_FPCLASSIFY_PREFIX ::_STLP_VENDOR_CSTD::
# endif
# else
# define BOOST_FPCLASSIFY_PREFIX ::std::
# endif
# else
# undef BOOST_HAS_FPCLASSIFY
# define BOOST_FPCLASSIFY_PREFIX
# endif
#elif (defined(__HP_aCC) && !defined(__hppa))
// aCC 6 appears to do "#define fpclassify fpclassify" which messes us up a bit!
# define BOOST_FPCLASSIFY_PREFIX ::
#else
# define BOOST_FPCLASSIFY_PREFIX
#endif
#ifdef __MINGW32__
# undef BOOST_HAS_FPCLASSIFY
#endif
#endif
//------------------------------------------------------------------------------
namespace boost {
namespace math {
namespace detail {
//------------------------------------------------------------------------------
/*
The following classes are used to tag the different methods that are used
for floating point classification
*/
struct native_tag {};
template <bool has_limits>
struct generic_tag {};
struct ieee_tag {};
struct ieee_copy_all_bits_tag : public ieee_tag {};
struct ieee_copy_leading_bits_tag : public ieee_tag {};
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
//
// These helper functions are used only when numeric_limits<>
// members are not compile time constants:
//
inline bool is_generic_tag_false(const generic_tag<false>*)
{
return true;
}
inline bool is_generic_tag_false(const void*)
{
return false;
}
#endif
//------------------------------------------------------------------------------
/*
Most processors support three different floating point precisions:
single precision (32 bits), double precision (64 bits)
and extended double precision (80 - 128 bits, depending on the processor)
Note that the C++ type long double can be implemented
both as double precision and extended double precision.
*/
struct unknown_precision{};
struct single_precision {};
struct double_precision {};
struct extended_double_precision {};
// native_tag version --------------------------------------------------------------
template<class T> struct fp_traits_native
{
typedef native_tag method;
};
// generic_tag version -------------------------------------------------------------
template<class T, class U> struct fp_traits_non_native
{
#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
typedef generic_tag<std::numeric_limits<T>::is_specialized> method;
#else
typedef generic_tag<false> method;
#endif
};
// ieee_tag versions ---------------------------------------------------------------
/*
These specializations of fp_traits_non_native contain information needed
to "parse" the binary representation of a floating point number.
Typedef members:
bits -- the target type when copying the leading bytes of a floating
point number. It is a typedef for uint32_t or uint64_t.
method -- tells us whether all bytes are copied or not.
It is a typedef for ieee_copy_all_bits_tag or ieee_copy_leading_bits_tag.
Static data members:
sign, exponent, flag, significand -- bit masks that give the meaning of the
bits in the leading bytes.
Static function members:
get_bits(), set_bits() -- provide access to the leading bytes.
*/
// ieee_tag version, float (32 bits) -----------------------------------------------
#ifndef BOOST_FPCLASSIFY_VAX_FORMAT
template<> struct fp_traits_non_native<float, single_precision>
{
typedef ieee_copy_all_bits_tag method;
BOOST_STATIC_CONSTANT(uint32_t, sign = 0x80000000u);
BOOST_STATIC_CONSTANT(uint32_t, exponent = 0x7f800000);
BOOST_STATIC_CONSTANT(uint32_t, flag = 0x00000000);
BOOST_STATIC_CONSTANT(uint32_t, significand = 0x007fffff);
typedef uint32_t bits;
static void get_bits(float x, uint32_t& a) { std::memcpy(&a, &x, 4); }
static void set_bits(float& x, uint32_t a) { std::memcpy(&x, &a, 4); }
};
// ieee_tag version, double (64 bits) ----------------------------------------------
#if defined(BOOST_NO_INT64_T) || defined(BOOST_NO_INCLASS_MEMBER_INITIALIZATION) \
|| defined(__BORLANDC__) || defined(__CODEGEAR__)
template<> struct fp_traits_non_native<double, double_precision>
{
typedef ieee_copy_leading_bits_tag method;
BOOST_STATIC_CONSTANT(uint32_t, sign = 0x80000000u);
BOOST_STATIC_CONSTANT(uint32_t, exponent = 0x7ff00000);
BOOST_STATIC_CONSTANT(uint32_t, flag = 0);
BOOST_STATIC_CONSTANT(uint32_t, significand = 0x000fffff);
typedef uint32_t bits;
static void get_bits(double x, uint32_t& a)
{
std::memcpy(&a, reinterpret_cast<const unsigned char*>(&x) + offset_, 4);
}
static void set_bits(double& x, uint32_t a)
{
std::memcpy(reinterpret_cast<unsigned char*>(&x) + offset_, &a, 4);
}
private:
#if defined(BOOST_BIG_ENDIAN)
BOOST_STATIC_CONSTANT(int, offset_ = 0);
#elif defined(BOOST_LITTLE_ENDIAN)
BOOST_STATIC_CONSTANT(int, offset_ = 4);
#else
BOOST_STATIC_ASSERT(false);
#endif
};
//..............................................................................
#else
template<> struct fp_traits_non_native<double, double_precision>
{
typedef ieee_copy_all_bits_tag method;
static const uint64_t sign = ((uint64_t)0x80000000u) << 32;
static const uint64_t exponent = ((uint64_t)0x7ff00000) << 32;
static const uint64_t flag = 0;
static const uint64_t significand
= (((uint64_t)0x000fffff) << 32) + ((uint64_t)0xffffffffu);
typedef uint64_t bits;
static void get_bits(double x, uint64_t& a) { std::memcpy(&a, &x, 8); }
static void set_bits(double& x, uint64_t a) { std::memcpy(&x, &a, 8); }
};
#endif
#endif // #ifndef BOOST_FPCLASSIFY_VAX_FORMAT
// long double (64 bits) -------------------------------------------------------
#if defined(BOOST_NO_INT64_T) || defined(BOOST_NO_INCLASS_MEMBER_INITIALIZATION)\
|| defined(__BORLANDC__) || defined(__CODEGEAR__)
template<> struct fp_traits_non_native<long double, double_precision>
{
typedef ieee_copy_leading_bits_tag method;
BOOST_STATIC_CONSTANT(uint32_t, sign = 0x80000000u);
BOOST_STATIC_CONSTANT(uint32_t, exponent = 0x7ff00000);
BOOST_STATIC_CONSTANT(uint32_t, flag = 0);
BOOST_STATIC_CONSTANT(uint32_t, significand = 0x000fffff);
typedef uint32_t bits;
static void get_bits(long double x, uint32_t& a)
{
std::memcpy(&a, reinterpret_cast<const unsigned char*>(&x) + offset_, 4);
}
static void set_bits(long double& x, uint32_t a)
{
std::memcpy(reinterpret_cast<unsigned char*>(&x) + offset_, &a, 4);
}
private:
#if defined(BOOST_BIG_ENDIAN)
BOOST_STATIC_CONSTANT(int, offset_ = 0);
#elif defined(BOOST_LITTLE_ENDIAN)
BOOST_STATIC_CONSTANT(int, offset_ = 4);
#else
BOOST_STATIC_ASSERT(false);
#endif
};
//..............................................................................
#else
template<> struct fp_traits_non_native<long double, double_precision>
{
typedef ieee_copy_all_bits_tag method;
static const uint64_t sign = (uint64_t)0x80000000u << 32;
static const uint64_t exponent = (uint64_t)0x7ff00000 << 32;
static const uint64_t flag = 0;
static const uint64_t significand
= ((uint64_t)0x000fffff << 32) + (uint64_t)0xffffffffu;
typedef uint64_t bits;
static void get_bits(long double x, uint64_t& a) { std::memcpy(&a, &x, 8); }
static void set_bits(long double& x, uint64_t a) { std::memcpy(&x, &a, 8); }
};
#endif
// long double (>64 bits), x86 and x64 -----------------------------------------
#if defined(__i386) || defined(__i386__) || defined(_M_IX86) \
|| defined(__amd64) || defined(__amd64__) || defined(_M_AMD64) \
|| defined(__x86_64) || defined(__x86_64__) || defined(_M_X64)
// Intel extended double precision format (80 bits)
template<>
struct fp_traits_non_native<long double, extended_double_precision>
{
typedef ieee_copy_leading_bits_tag method;
BOOST_STATIC_CONSTANT(uint32_t, sign = 0x80000000u);
BOOST_STATIC_CONSTANT(uint32_t, exponent = 0x7fff0000);
BOOST_STATIC_CONSTANT(uint32_t, flag = 0x00008000);
BOOST_STATIC_CONSTANT(uint32_t, significand = 0x00007fff);
typedef uint32_t bits;
static void get_bits(long double x, uint32_t& a)
{
std::memcpy(&a, reinterpret_cast<const unsigned char*>(&x) + 6, 4);
}
static void set_bits(long double& x, uint32_t a)
{
std::memcpy(reinterpret_cast<unsigned char*>(&x) + 6, &a, 4);
}
};
// long double (>64 bits), Itanium ---------------------------------------------
#elif defined(__ia64) || defined(__ia64__) || defined(_M_IA64)
// The floating point format is unknown at compile time
// No template specialization is provided.
// The generic_tag definition is used.
// The Itanium supports both
// the Intel extended double precision format (80 bits) and
// the IEEE extended double precision format with 15 exponent bits (128 bits).
#elif defined(__GNUC__) && (LDBL_MANT_DIG == 106)
//
// Define nothing here and fall though to generic_tag:
// We have GCC's "double double" in effect, and any attempt
// to handle it via bit-fiddling is pretty much doomed to fail...
//
// long double (>64 bits), PowerPC ---------------------------------------------
#elif defined(__powerpc) || defined(__powerpc__) || defined(__POWERPC__) \
|| defined(__ppc) || defined(__ppc__) || defined(__PPC__)
// PowerPC extended double precision format (128 bits)
template<>
struct fp_traits_non_native<long double, extended_double_precision>
{
typedef ieee_copy_leading_bits_tag method;
BOOST_STATIC_CONSTANT(uint32_t, sign = 0x80000000u);
BOOST_STATIC_CONSTANT(uint32_t, exponent = 0x7ff00000);
BOOST_STATIC_CONSTANT(uint32_t, flag = 0x00000000);
BOOST_STATIC_CONSTANT(uint32_t, significand = 0x000fffff);
typedef uint32_t bits;
static void get_bits(long double x, uint32_t& a)
{
std::memcpy(&a, reinterpret_cast<const unsigned char*>(&x) + offset_, 4);
}
static void set_bits(long double& x, uint32_t a)
{
std::memcpy(reinterpret_cast<unsigned char*>(&x) + offset_, &a, 4);
}
private:
#if defined(BOOST_BIG_ENDIAN)
BOOST_STATIC_CONSTANT(int, offset_ = 0);
#elif defined(BOOST_LITTLE_ENDIAN)
BOOST_STATIC_CONSTANT(int, offset_ = 12);
#else
BOOST_STATIC_ASSERT(false);
#endif
};
// long double (>64 bits), Motorola 68K ----------------------------------------
#elif defined(__m68k) || defined(__m68k__) \
|| defined(__mc68000) || defined(__mc68000__) \
// Motorola extended double precision format (96 bits)
// It is the same format as the Intel extended double precision format,
// except that 1) it is big-endian, 2) the 3rd and 4th byte are padding, and
// 3) the flag bit is not set for infinity
template<>
struct fp_traits_non_native<long double, extended_double_precision>
{
typedef ieee_copy_leading_bits_tag method;
BOOST_STATIC_CONSTANT(uint32_t, sign = 0x80000000u);
BOOST_STATIC_CONSTANT(uint32_t, exponent = 0x7fff0000);
BOOST_STATIC_CONSTANT(uint32_t, flag = 0x00008000);
BOOST_STATIC_CONSTANT(uint32_t, significand = 0x00007fff);
// copy 1st, 2nd, 5th and 6th byte. 3rd and 4th byte are padding.
typedef uint32_t bits;
static void get_bits(long double x, uint32_t& a)
{
std::memcpy(&a, &x, 2);
std::memcpy(reinterpret_cast<unsigned char*>(&a) + 2,
reinterpret_cast<const unsigned char*>(&x) + 4, 2);
}
static void set_bits(long double& x, uint32_t a)
{
std::memcpy(&x, &a, 2);
std::memcpy(reinterpret_cast<unsigned char*>(&x) + 4,
reinterpret_cast<const unsigned char*>(&a) + 2, 2);
}
};
// long double (>64 bits), All other processors --------------------------------
#else
// IEEE extended double precision format with 15 exponent bits (128 bits)
template<>
struct fp_traits_non_native<long double, extended_double_precision>
{
typedef ieee_copy_leading_bits_tag method;
BOOST_STATIC_CONSTANT(uint32_t, sign = 0x80000000u);
BOOST_STATIC_CONSTANT(uint32_t, exponent = 0x7fff0000);
BOOST_STATIC_CONSTANT(uint32_t, flag = 0x00000000);
BOOST_STATIC_CONSTANT(uint32_t, significand = 0x0000ffff);
typedef uint32_t bits;
static void get_bits(long double x, uint32_t& a)
{
std::memcpy(&a, reinterpret_cast<const unsigned char*>(&x) + offset_, 4);
}
static void set_bits(long double& x, uint32_t a)
{
std::memcpy(reinterpret_cast<unsigned char*>(&x) + offset_, &a, 4);
}
private:
#if defined(BOOST_BIG_ENDIAN)
BOOST_STATIC_CONSTANT(int, offset_ = 0);
#elif defined(BOOST_LITTLE_ENDIAN)
BOOST_STATIC_CONSTANT(int, offset_ = 12);
#else
BOOST_STATIC_ASSERT(false);
#endif
};
#endif
//------------------------------------------------------------------------------
// size_to_precision is a type switch for converting a C++ floating point type
// to the corresponding precision type.
template<int n, bool fp> struct size_to_precision
{
typedef unknown_precision type;
};
template<> struct size_to_precision<4, true>
{
typedef single_precision type;
};
template<> struct size_to_precision<8, true>
{
typedef double_precision type;
};
template<> struct size_to_precision<10, true>
{
typedef extended_double_precision type;
};
template<> struct size_to_precision<12, true>
{
typedef extended_double_precision type;
};
template<> struct size_to_precision<16, true>
{
typedef extended_double_precision type;
};
//------------------------------------------------------------------------------
//
// Figure out whether to use native classification functions based on
// whether T is a built in floating point type or not:
//
template <class T>
struct select_native
{
typedef BOOST_DEDUCED_TYPENAME size_to_precision<sizeof(T), ::boost::is_floating_point<T>::value>::type precision;
typedef fp_traits_non_native<T, precision> type;
};
template<>
struct select_native<float>
{
typedef fp_traits_native<float> type;
};
template<>
struct select_native<double>
{
typedef fp_traits_native<double> type;
};
template<>
struct select_native<long double>
{
typedef fp_traits_native<long double> type;
};
//------------------------------------------------------------------------------
// fp_traits is a type switch that selects the right fp_traits_non_native
#if (defined(BOOST_MATH_USE_C99) && !(defined(__GNUC__) && (__GNUC__ < 4))) \
&& !defined(__hpux) \
&& !defined(__DECCXX)\
&& !defined(__osf__) \
&& !defined(__SGI_STL_PORT) && !defined(_STLPORT_VERSION)\
&& !defined(__FAST_MATH__)\
&& !defined(BOOST_MATH_DISABLE_STD_FPCLASSIFY)\
&& !defined(BOOST_INTEL)\
&& !defined(sun)
# define BOOST_MATH_USE_STD_FPCLASSIFY
#endif
template<class T> struct fp_traits
{
typedef BOOST_DEDUCED_TYPENAME size_to_precision<sizeof(T), ::boost::is_floating_point<T>::value>::type precision;
#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && !defined(BOOST_MATH_DISABLE_STD_FPCLASSIFY)
typedef typename select_native<T>::type type;
#else
typedef fp_traits_non_native<T, precision> type;
#endif
typedef fp_traits_non_native<T, precision> sign_change_type;
};
//------------------------------------------------------------------------------
} // namespace detail
} // namespace math
} // namespace boost
#endif

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// Copyright John Maddock 2008.
// Use, modification and distribution are subject to 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_SPECIAL_ROUND_FWD_HPP
#define BOOST_MATH_SPECIAL_ROUND_FWD_HPP
#include <boost/config.hpp>
#include <boost/math/tools/promotion.hpp>
#ifdef _MSC_VER
#pragma once
#endif
namespace boost
{
namespace math
{
template <class T, class Policy>
typename tools::promote_args<T>::type trunc(const T& v, const Policy& pol);
template <class T>
typename tools::promote_args<T>::type trunc(const T& v);
template <class T, class Policy>
int itrunc(const T& v, const Policy& pol);
template <class T>
int itrunc(const T& v);
template <class T, class Policy>
long ltrunc(const T& v, const Policy& pol);
template <class T>
long ltrunc(const T& v);
#ifdef BOOST_HAS_LONG_LONG
template <class T, class Policy>
boost::long_long_type lltrunc(const T& v, const Policy& pol);
template <class T>
boost::long_long_type lltrunc(const T& v);
#endif
template <class T, class Policy>
typename tools::promote_args<T>::type round(const T& v, const Policy& pol);
template <class T>
typename tools::promote_args<T>::type round(const T& v);
template <class T, class Policy>
int iround(const T& v, const Policy& pol);
template <class T>
int iround(const T& v);
template <class T, class Policy>
long lround(const T& v, const Policy& pol);
template <class T>
long lround(const T& v);
#ifdef BOOST_HAS_LONG_LONG
template <class T, class Policy>
boost::long_long_type llround(const T& v, const Policy& pol);
template <class T>
boost::long_long_type llround(const T& v);
#endif
template <class T, class Policy>
T modf(const T& v, T* ipart, const Policy& pol);
template <class T>
T modf(const T& v, T* ipart);
template <class T, class Policy>
T modf(const T& v, int* ipart, const Policy& pol);
template <class T>
T modf(const T& v, int* ipart);
template <class T, class Policy>
T modf(const T& v, long* ipart, const Policy& pol);
template <class T>
T modf(const T& v, long* ipart);
#ifdef BOOST_HAS_LONG_LONG
template <class T, class Policy>
T modf(const T& v, boost::long_long_type* ipart, const Policy& pol);
template <class T>
T modf(const T& v, boost::long_long_type* ipart);
#endif
}
}
#undef BOOST_MATH_STD_USING
#define BOOST_MATH_STD_USING BOOST_MATH_STD_USING_CORE\
using boost::math::round;\
using boost::math::iround;\
using boost::math::lround;\
using boost::math::trunc;\
using boost::math::itrunc;\
using boost::math::ltrunc;\
using boost::math::modf;
#endif // BOOST_MATH_SPECIAL_ROUND_FWD_HPP

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// Copyright John Maddock 2005-2008.
// Copyright (c) 2006-2008 Johan Rade
// Use, modification and distribution are subject to 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_FPCLASSIFY_HPP
#define BOOST_MATH_FPCLASSIFY_HPP
#ifdef _MSC_VER
#pragma once
#endif
#include <math.h>
#include <boost/config/no_tr1/cmath.hpp>
#include <boost/limits.hpp>
#include <boost/math/tools/real_cast.hpp>
#include <boost/type_traits/is_floating_point.hpp>
#include <boost/math/special_functions/math_fwd.hpp>
#include <boost/math/special_functions/detail/fp_traits.hpp>
/*!
\file fpclassify.hpp
\brief Classify floating-point value as normal, subnormal, zero, infinite, or NaN.
\version 1.0
\author John Maddock
*/
/*
1. If the platform is C99 compliant, then the native floating point
classification functions are used. However, note that we must only
define the functions which call std::fpclassify etc if that function
really does exist: otherwise a compiler may reject the code even though
the template is never instantiated.
2. If the platform is not C99 compliant, and the binary format for
a floating point type (float, double or long double) can be determined
at compile time, then the following algorithm is used:
If all exponent bits, the flag bit (if there is one),
and all significand bits are 0, then the number is zero.
If all exponent bits and the flag bit (if there is one) are 0,
and at least one significand bit is 1, then the number is subnormal.
If all exponent bits are 1 and all significand bits are 0,
then the number is infinity.
If all exponent bits are 1 and at least one significand bit is 1,
then the number is a not-a-number.
Otherwise the number is normal.
This algorithm works for the IEEE 754 representation,
and also for several non IEEE 754 formats.
Most formats have the structure
sign bit + exponent bits + significand bits.
A few have the structure
sign bit + exponent bits + flag bit + significand bits.
The flag bit is 0 for zero and subnormal numbers,
and 1 for normal numbers and NaN.
It is 0 (Motorola 68K) or 1 (Intel) for infinity.
To get the bits, the four or eight most significant bytes are copied
into an uint32_t or uint64_t and bit masks are applied.
This covers all the exponent bits and the flag bit (if there is one),
but not always all the significand bits.
Some of the functions below have two implementations,
depending on whether all the significand bits are copied or not.
3. If the platform is not C99 compliant, and the binary format for
a floating point type (float, double or long double) can not be determined
at compile time, then comparison with std::numeric_limits values
is used.
*/
#if defined(_MSC_VER) || defined(__BORLANDC__)
#include <float.h>
#endif
#ifdef BOOST_MATH_USE_FLOAT128
#ifdef __has_include
#if __has_include("quadmath.h")
#include "quadmath.h"
#define BOOST_MATH_HAS_QUADMATH_H
#endif
#endif
#endif
#ifdef BOOST_NO_STDC_NAMESPACE
namespace std{ using ::abs; using ::fabs; }
#endif
namespace boost{
//
// This must not be located in any namespace under boost::math
// otherwise we can get into an infinite loop if isnan is
// a #define for "isnan" !
//
namespace math_detail{
#ifdef BOOST_MSVC
#pragma warning(push)
#pragma warning(disable:4800)
#endif
template <class T>
inline bool is_nan_helper(T t, const boost::true_type&)
{
#ifdef isnan
return isnan(t);
#elif defined(BOOST_MATH_DISABLE_STD_FPCLASSIFY) || !defined(BOOST_HAS_FPCLASSIFY)
(void)t;
return false;
#else // BOOST_HAS_FPCLASSIFY
return (BOOST_FPCLASSIFY_PREFIX fpclassify(t) == (int)FP_NAN);
#endif
}
#ifdef BOOST_MSVC
#pragma warning(pop)
#endif
template <class T>
inline bool is_nan_helper(T, const boost::false_type&)
{
return false;
}
#if defined(BOOST_MATH_USE_FLOAT128)
#if defined(BOOST_MATH_HAS_QUADMATH_H)
inline bool is_nan_helper(__float128 f, const boost::true_type&) { return ::isnanq(f); }
inline bool is_nan_helper(__float128 f, const boost::false_type&) { return ::isnanq(f); }
#elif defined(BOOST_GNU_STDLIB) && BOOST_GNU_STDLIB && \
_GLIBCXX_USE_C99_MATH && !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
inline bool is_nan_helper(__float128 f, const boost::true_type&) { return std::isnan(static_cast<double>(f)); }
inline bool is_nan_helper(__float128 f, const boost::false_type&) { return std::isnan(static_cast<double>(f)); }
#else
inline bool is_nan_helper(__float128 f, const boost::true_type&) { return ::isnan(static_cast<double>(f)); }
inline bool is_nan_helper(__float128 f, const boost::false_type&) { return ::isnan(static_cast<double>(f)); }
#endif
#endif
}
namespace math{
namespace detail{
#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
template <class T>
inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(T t, const native_tag&)
{
return (std::fpclassify)(t);
}
#endif
template <class T>
inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(T t, const generic_tag<true>&)
{
BOOST_MATH_INSTRUMENT_VARIABLE(t);
// whenever possible check for Nan's first:
#if defined(BOOST_HAS_FPCLASSIFY) && !defined(BOOST_MATH_DISABLE_STD_FPCLASSIFY)
if(::boost::math_detail::is_nan_helper(t, ::boost::is_floating_point<T>()))
return FP_NAN;
#elif defined(isnan)
if(boost::math_detail::is_nan_helper(t, ::boost::is_floating_point<T>()))
return FP_NAN;
#elif defined(_MSC_VER) || defined(__BORLANDC__)
if(::_isnan(boost::math::tools::real_cast<double>(t)))
return FP_NAN;
#endif
// std::fabs broken on a few systems especially for long long!!!!
T at = (t < T(0)) ? -t : t;
// Use a process of exclusion to figure out
// what kind of type we have, this relies on
// IEEE conforming reals that will treat
// Nan's as unordered. Some compilers
// don't do this once optimisations are
// turned on, hence the check for nan's above.
if(at <= (std::numeric_limits<T>::max)())
{
if(at >= (std::numeric_limits<T>::min)())
return FP_NORMAL;
return (at != 0) ? FP_SUBNORMAL : FP_ZERO;
}
else if(at > (std::numeric_limits<T>::max)())
return FP_INFINITE;
return FP_NAN;
}
template <class T>
inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(T t, const generic_tag<false>&)
{
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
if(std::numeric_limits<T>::is_specialized)
return fpclassify_imp(t, generic_tag<true>());
#endif
//
// An unknown type with no numeric_limits support,
// so what are we supposed to do we do here?
//
BOOST_MATH_INSTRUMENT_VARIABLE(t);
return t == 0 ? FP_ZERO : FP_NORMAL;
}
template<class T>
int fpclassify_imp BOOST_NO_MACRO_EXPAND(T x, ieee_copy_all_bits_tag)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
BOOST_MATH_INSTRUMENT_VARIABLE(x);
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
BOOST_MATH_INSTRUMENT_VARIABLE(a);
a &= traits::exponent | traits::flag | traits::significand;
BOOST_MATH_INSTRUMENT_VARIABLE((traits::exponent | traits::flag | traits::significand));
BOOST_MATH_INSTRUMENT_VARIABLE(a);
if(a <= traits::significand) {
if(a == 0)
return FP_ZERO;
else
return FP_SUBNORMAL;
}
if(a < traits::exponent) return FP_NORMAL;
a &= traits::significand;
if(a == 0) return FP_INFINITE;
return FP_NAN;
}
template<class T>
int fpclassify_imp BOOST_NO_MACRO_EXPAND(T x, ieee_copy_leading_bits_tag)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
BOOST_MATH_INSTRUMENT_VARIABLE(x);
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a &= traits::exponent | traits::flag | traits::significand;
if(a <= traits::significand) {
if(x == 0)
return FP_ZERO;
else
return FP_SUBNORMAL;
}
if(a < traits::exponent) return FP_NORMAL;
a &= traits::significand;
traits::set_bits(x,a);
if(x == 0) return FP_INFINITE;
return FP_NAN;
}
#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && (defined(BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY) || defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS))
inline int fpclassify_imp BOOST_NO_MACRO_EXPAND(long double t, const native_tag&)
{
return boost::math::detail::fpclassify_imp(t, generic_tag<true>());
}
#endif
} // namespace detail
template <class T>
inline int fpclassify BOOST_NO_MACRO_EXPAND(T t)
{
typedef typename detail::fp_traits<T>::type traits;
typedef typename traits::method method;
typedef typename tools::promote_args_permissive<T>::type value_type;
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
if(std::numeric_limits<T>::is_specialized && detail::is_generic_tag_false(static_cast<method*>(0)))
return detail::fpclassify_imp(static_cast<value_type>(t), detail::generic_tag<true>());
return detail::fpclassify_imp(static_cast<value_type>(t), method());
#else
return detail::fpclassify_imp(static_cast<value_type>(t), method());
#endif
}
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
template <>
inline int fpclassify<long double> BOOST_NO_MACRO_EXPAND(long double t)
{
typedef detail::fp_traits<long double>::type traits;
typedef traits::method method;
typedef long double value_type;
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
if(std::numeric_limits<long double>::is_specialized && detail::is_generic_tag_false(static_cast<method*>(0)))
return detail::fpclassify_imp(static_cast<value_type>(t), detail::generic_tag<true>());
return detail::fpclassify_imp(static_cast<value_type>(t), method());
#else
return detail::fpclassify_imp(static_cast<value_type>(t), method());
#endif
}
#endif
namespace detail {
#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
template<class T>
inline bool isfinite_impl(T x, native_tag const&)
{
return (std::isfinite)(x);
}
#endif
template<class T>
inline bool isfinite_impl(T x, generic_tag<true> const&)
{
return x >= -(std::numeric_limits<T>::max)()
&& x <= (std::numeric_limits<T>::max)();
}
template<class T>
inline bool isfinite_impl(T x, generic_tag<false> const&)
{
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
if(std::numeric_limits<T>::is_specialized)
return isfinite_impl(x, generic_tag<true>());
#endif
(void)x; // warning suppression.
return true;
}
template<class T>
inline bool isfinite_impl(T x, ieee_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME detail::fp_traits<T>::type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a &= traits::exponent;
return a != traits::exponent;
}
#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && defined(BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY)
inline bool isfinite_impl BOOST_NO_MACRO_EXPAND(long double t, const native_tag&)
{
return boost::math::detail::isfinite_impl(t, generic_tag<true>());
}
#endif
}
template<class T>
inline bool (isfinite)(T x)
{ //!< \brief return true if floating-point type t is finite.
typedef typename detail::fp_traits<T>::type traits;
typedef typename traits::method method;
// typedef typename boost::is_floating_point<T>::type fp_tag;
typedef typename tools::promote_args_permissive<T>::type value_type;
return detail::isfinite_impl(static_cast<value_type>(x), method());
}
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
template<>
inline bool (isfinite)(long double x)
{ //!< \brief return true if floating-point type t is finite.
typedef detail::fp_traits<long double>::type traits;
typedef traits::method method;
//typedef boost::is_floating_point<long double>::type fp_tag;
typedef long double value_type;
return detail::isfinite_impl(static_cast<value_type>(x), method());
}
#endif
//------------------------------------------------------------------------------
namespace detail {
#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
template<class T>
inline bool isnormal_impl(T x, native_tag const&)
{
return (std::isnormal)(x);
}
#endif
template<class T>
inline bool isnormal_impl(T x, generic_tag<true> const&)
{
if(x < 0) x = -x;
return x >= (std::numeric_limits<T>::min)()
&& x <= (std::numeric_limits<T>::max)();
}
template<class T>
inline bool isnormal_impl(T x, generic_tag<false> const&)
{
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
if(std::numeric_limits<T>::is_specialized)
return isnormal_impl(x, generic_tag<true>());
#endif
return !(x == 0);
}
template<class T>
inline bool isnormal_impl(T x, ieee_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME detail::fp_traits<T>::type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a &= traits::exponent | traits::flag;
return (a != 0) && (a < traits::exponent);
}
#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && defined(BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY)
inline bool isnormal_impl BOOST_NO_MACRO_EXPAND(long double t, const native_tag&)
{
return boost::math::detail::isnormal_impl(t, generic_tag<true>());
}
#endif
}
template<class T>
inline bool (isnormal)(T x)
{
typedef typename detail::fp_traits<T>::type traits;
typedef typename traits::method method;
//typedef typename boost::is_floating_point<T>::type fp_tag;
typedef typename tools::promote_args_permissive<T>::type value_type;
return detail::isnormal_impl(static_cast<value_type>(x), method());
}
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
template<>
inline bool (isnormal)(long double x)
{
typedef detail::fp_traits<long double>::type traits;
typedef traits::method method;
//typedef boost::is_floating_point<long double>::type fp_tag;
typedef long double value_type;
return detail::isnormal_impl(static_cast<value_type>(x), method());
}
#endif
//------------------------------------------------------------------------------
namespace detail {
#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
template<class T>
inline bool isinf_impl(T x, native_tag const&)
{
return (std::isinf)(x);
}
#endif
template<class T>
inline bool isinf_impl(T x, generic_tag<true> const&)
{
(void)x; // in case the compiler thinks that x is unused because std::numeric_limits<T>::has_infinity is false
return std::numeric_limits<T>::has_infinity
&& ( x == std::numeric_limits<T>::infinity()
|| x == -std::numeric_limits<T>::infinity());
}
template<class T>
inline bool isinf_impl(T x, generic_tag<false> const&)
{
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
if(std::numeric_limits<T>::is_specialized)
return isinf_impl(x, generic_tag<true>());
#endif
(void)x; // warning suppression.
return false;
}
template<class T>
inline bool isinf_impl(T x, ieee_copy_all_bits_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a &= traits::exponent | traits::significand;
return a == traits::exponent;
}
template<class T>
inline bool isinf_impl(T x, ieee_copy_leading_bits_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a &= traits::exponent | traits::significand;
if(a != traits::exponent)
return false;
traits::set_bits(x,0);
return x == 0;
}
#if defined(BOOST_MATH_USE_STD_FPCLASSIFY) && defined(BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY)
inline bool isinf_impl BOOST_NO_MACRO_EXPAND(long double t, const native_tag&)
{
return boost::math::detail::isinf_impl(t, generic_tag<true>());
}
#endif
} // namespace detail
template<class T>
inline bool (isinf)(T x)
{
typedef typename detail::fp_traits<T>::type traits;
typedef typename traits::method method;
// typedef typename boost::is_floating_point<T>::type fp_tag;
typedef typename tools::promote_args_permissive<T>::type value_type;
return detail::isinf_impl(static_cast<value_type>(x), method());
}
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
template<>
inline bool (isinf)(long double x)
{
typedef detail::fp_traits<long double>::type traits;
typedef traits::method method;
//typedef boost::is_floating_point<long double>::type fp_tag;
typedef long double value_type;
return detail::isinf_impl(static_cast<value_type>(x), method());
}
#endif
#if defined(BOOST_MATH_USE_FLOAT128) && defined(BOOST_MATH_HAS_QUADMATH_H)
template<>
inline bool (isinf)(__float128 x)
{
return ::isinfq(x);
}
#endif
//------------------------------------------------------------------------------
namespace detail {
#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
template<class T>
inline bool isnan_impl(T x, native_tag const&)
{
return (std::isnan)(x);
}
#endif
template<class T>
inline bool isnan_impl(T x, generic_tag<true> const&)
{
return std::numeric_limits<T>::has_infinity
? !(x <= std::numeric_limits<T>::infinity())
: x != x;
}
template<class T>
inline bool isnan_impl(T x, generic_tag<false> const&)
{
#ifdef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
if(std::numeric_limits<T>::is_specialized)
return isnan_impl(x, generic_tag<true>());
#endif
(void)x; // warning suppression
return false;
}
template<class T>
inline bool isnan_impl(T x, ieee_copy_all_bits_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a &= traits::exponent | traits::significand;
return a > traits::exponent;
}
template<class T>
inline bool isnan_impl(T x, ieee_copy_leading_bits_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a &= traits::exponent | traits::significand;
if(a < traits::exponent)
return false;
a &= traits::significand;
traits::set_bits(x,a);
return x != 0;
}
} // namespace detail
template<class T>
inline bool (isnan)(T x)
{ //!< \brief return true if floating-point type t is NaN (Not A Number).
typedef typename detail::fp_traits<T>::type traits;
typedef typename traits::method method;
// typedef typename boost::is_floating_point<T>::type fp_tag;
return detail::isnan_impl(x, method());
}
#ifdef isnan
template <> inline bool isnan BOOST_NO_MACRO_EXPAND<float>(float t){ return ::boost::math_detail::is_nan_helper(t, boost::true_type()); }
template <> inline bool isnan BOOST_NO_MACRO_EXPAND<double>(double t){ return ::boost::math_detail::is_nan_helper(t, boost::true_type()); }
template <> inline bool isnan BOOST_NO_MACRO_EXPAND<long double>(long double t){ return ::boost::math_detail::is_nan_helper(t, boost::true_type()); }
#elif defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
template<>
inline bool (isnan)(long double x)
{ //!< \brief return true if floating-point type t is NaN (Not A Number).
typedef detail::fp_traits<long double>::type traits;
typedef traits::method method;
//typedef boost::is_floating_point<long double>::type fp_tag;
return detail::isnan_impl(x, method());
}
#endif
#if defined(BOOST_MATH_USE_FLOAT128) && defined(BOOST_MATH_HAS_QUADMATH_H)
template<>
inline bool (isnan)(__float128 x)
{
return ::isnanq(x);
}
#endif
} // namespace math
} // namespace boost
#endif // BOOST_MATH_FPCLASSIFY_HPP

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// (C) Copyright John Maddock 2006.
// (C) Copyright Johan Rade 2006.
// (C) Copyright Paul A. Bristow 2011 (added changesign).
// Use, modification and distribution are subject to 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_TOOLS_SIGN_HPP
#define BOOST_MATH_TOOLS_SIGN_HPP
#ifdef _MSC_VER
#pragma once
#endif
#include <boost/math/tools/config.hpp>
#include <boost/math/special_functions/math_fwd.hpp>
#include <boost/math/special_functions/detail/fp_traits.hpp>
namespace boost{ namespace math{
namespace detail {
// signbit
#ifdef BOOST_MATH_USE_STD_FPCLASSIFY
template<class T>
inline int signbit_impl(T x, native_tag const&)
{
return (std::signbit)(x);
}
#endif
// Generic versions first, note that these do not handle
// signed zero or NaN.
template<class T>
inline int signbit_impl(T x, generic_tag<true> const&)
{
return x < 0;
}
template<class T>
inline int signbit_impl(T x, generic_tag<false> const&)
{
return x < 0;
}
#if defined(__GNUC__) && (LDBL_MANT_DIG == 106)
//
// Special handling for GCC's "double double" type,
// in this case the sign is the same as the sign we
// get by casting to double, no overflow/underflow
// can occur since the exponents are the same magnitude
// for the two types:
//
inline int signbit_impl(long double x, generic_tag<true> const&)
{
return (boost::math::signbit)(static_cast<double>(x));
}
inline int signbit_impl(long double x, generic_tag<false> const&)
{
return (boost::math::signbit)(static_cast<double>(x));
}
#endif
template<class T>
inline int signbit_impl(T x, ieee_copy_all_bits_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
return a & traits::sign ? 1 : 0;
}
template<class T>
inline int signbit_impl(T x, ieee_copy_leading_bits_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
return a & traits::sign ? 1 : 0;
}
// Changesign
// Generic versions first, note that these do not handle
// signed zero or NaN.
template<class T>
inline T (changesign_impl)(T x, generic_tag<true> const&)
{
return -x;
}
template<class T>
inline T (changesign_impl)(T x, generic_tag<false> const&)
{
return -x;
}
#if defined(__GNUC__) && (LDBL_MANT_DIG == 106)
//
// Special handling for GCC's "double double" type,
// in this case we need to change the sign of both
// components of the "double double":
//
inline long double (changesign_impl)(long double x, generic_tag<true> const&)
{
double* pd = reinterpret_cast<double*>(&x);
pd[0] = boost::math::changesign(pd[0]);
pd[1] = boost::math::changesign(pd[1]);
return x;
}
inline long double (changesign_impl)(long double x, generic_tag<false> const&)
{
double* pd = reinterpret_cast<double*>(&x);
pd[0] = boost::math::changesign(pd[0]);
pd[1] = boost::math::changesign(pd[1]);
return x;
}
#endif
template<class T>
inline T changesign_impl(T x, ieee_copy_all_bits_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::sign_change_type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a ^= traits::sign;
traits::set_bits(x,a);
return x;
}
template<class T>
inline T (changesign_impl)(T x, ieee_copy_leading_bits_tag const&)
{
typedef BOOST_DEDUCED_TYPENAME fp_traits<T>::sign_change_type traits;
BOOST_DEDUCED_TYPENAME traits::bits a;
traits::get_bits(x,a);
a ^= traits::sign;
traits::set_bits(x,a);
return x;
}
} // namespace detail
template<class T> int (signbit)(T x)
{
typedef typename detail::fp_traits<T>::type traits;
typedef typename traits::method method;
// typedef typename boost::is_floating_point<T>::type fp_tag;
typedef typename tools::promote_args_permissive<T>::type result_type;
return detail::signbit_impl(static_cast<result_type>(x), method());
}
template <class T>
inline int sign BOOST_NO_MACRO_EXPAND(const T& z)
{
return (z == 0) ? 0 : (boost::math::signbit)(z) ? -1 : 1;
}
template <class T> typename tools::promote_args_permissive<T>::type (changesign)(const T& x)
{ //!< \brief return unchanged binary pattern of x, except for change of sign bit.
typedef typename detail::fp_traits<T>::sign_change_type traits;
typedef typename traits::method method;
// typedef typename boost::is_floating_point<T>::type fp_tag;
typedef typename tools::promote_args_permissive<T>::type result_type;
return detail::changesign_impl(static_cast<result_type>(x), method());
}
template <class T, class U>
inline typename tools::promote_args_permissive<T, U>::type
copysign BOOST_NO_MACRO_EXPAND(const T& x, const U& y)
{
BOOST_MATH_STD_USING
typedef typename tools::promote_args_permissive<T, U>::type result_type;
return (boost::math::signbit)(static_cast<result_type>(x)) != (boost::math::signbit)(static_cast<result_type>(y))
? (boost::math::changesign)(static_cast<result_type>(x)) : static_cast<result_type>(x);
}
} // namespace math
} // namespace boost
#endif // BOOST_MATH_TOOLS_SIGN_HPP

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// Copyright (c) 2006-7 John Maddock
// Use, modification and distribution are subject to 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_TOOLS_CONFIG_HPP
#define BOOST_MATH_TOOLS_CONFIG_HPP
#ifdef _MSC_VER
#pragma once
#endif
#include <boost/config.hpp>
#include <boost/predef.h>
#include <boost/cstdint.hpp> // for boost::uintmax_t
#include <boost/detail/workaround.hpp>
#include <boost/type_traits/is_integral.hpp>
#include <algorithm> // for min and max
#include <boost/config/no_tr1/cmath.hpp>
#include <climits>
#include <cfloat>
#if (defined(macintosh) || defined(__APPLE__) || defined(__APPLE_CC__))
# include <math.h>
#endif
#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
# include <limits>
#endif
#include <boost/math/tools/user.hpp>
#if (defined(__CYGWIN__) || defined(__FreeBSD__) || defined(__NetBSD__) \
|| (defined(__hppa) && !defined(__OpenBSD__)) || (defined(__NO_LONG_DOUBLE_MATH) && (DBL_MANT_DIG != LDBL_MANT_DIG))) \
&& !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#endif
#if BOOST_WORKAROUND(__BORLANDC__, BOOST_TESTED_AT(0x582))
//
// Borland post 5.8.2 uses Dinkumware's std C lib which
// doesn't have true long double precision. Earlier
// versions are problematic too:
//
# define BOOST_MATH_NO_REAL_CONCEPT_TESTS
# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
# define BOOST_MATH_CONTROL_FP _control87(MCW_EM,MCW_EM)
# include <float.h>
#endif
#ifdef __IBMCPP__
//
// For reasons I don't unserstand, the tests with IMB's compiler all
// pass at long double precision, but fail with real_concept, those tests
// are disabled for now. (JM 2012).
# define BOOST_MATH_NO_REAL_CONCEPT_TESTS
#endif
#ifdef sun
// Any use of __float128 in program startup code causes a segfault (tested JM 2015, Solaris 11).
# define BOOST_MATH_DISABLE_FLOAT128
#endif
#ifdef __HAIKU__
//
// Not sure what's up with the math detection on Haiku, but linking fails with
// float128 code enabled, and we don't have an implementation of __expl, so
// disabling long double functions for now as well.
# define BOOST_MATH_DISABLE_FLOAT128
# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#endif
#if (defined(macintosh) || defined(__APPLE__) || defined(__APPLE_CC__)) && ((LDBL_MANT_DIG == 106) || (__LDBL_MANT_DIG__ == 106)) && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
//
// Darwin's rather strange "double double" is rather hard to
// support, it should be possible given enough effort though...
//
# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#endif
#if defined(unix) && defined(__INTEL_COMPILER) && (__INTEL_COMPILER <= 1000) && !defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
//
// Intel compiler prior to version 10 has sporadic problems
// calling the long double overloads of the std lib math functions:
// calling ::powl is OK, but std::pow(long double, long double)
// may segfault depending upon the value of the arguments passed
// and the specific Linux distribution.
//
// We'll be conservative and disable long double support for this compiler.
//
// Comment out this #define and try building the tests to determine whether
// your Intel compiler version has this issue or not.
//
# define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#endif
#if defined(unix) && defined(__INTEL_COMPILER)
//
// Intel compiler has sporadic issues compiling std::fpclassify depending on
// the exact OS version used. Use our own code for this as we know it works
// well on Intel processors:
//
#define BOOST_MATH_DISABLE_STD_FPCLASSIFY
#endif
#if defined(BOOST_MSVC) && !defined(_WIN32_WCE)
// Better safe than sorry, our tests don't support hardware exceptions:
# define BOOST_MATH_CONTROL_FP _control87(MCW_EM,MCW_EM)
#endif
#ifdef __IBMCPP__
# define BOOST_MATH_NO_DEDUCED_FUNCTION_POINTERS
#endif
#if (defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901))
# define BOOST_MATH_USE_C99
#endif
#if (defined(__hpux) && !defined(__hppa))
# define BOOST_MATH_USE_C99
#endif
#if defined(__GNUC__) && defined(_GLIBCXX_USE_C99)
# define BOOST_MATH_USE_C99
#endif
#if defined(_LIBCPP_VERSION) && !defined(_MSC_VER)
# define BOOST_MATH_USE_C99
#endif
#if defined(__CYGWIN__) || defined(__HP_aCC) || defined(BOOST_INTEL) \
|| defined(BOOST_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY) \
|| (defined(__GNUC__) && !defined(BOOST_MATH_USE_C99))\
|| defined(BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS)
# define BOOST_MATH_NO_NATIVE_LONG_DOUBLE_FP_CLASSIFY
#endif
#if BOOST_WORKAROUND(__SUNPRO_CC, <= 0x590)
# include "boost/type.hpp"
# include "boost/non_type.hpp"
# define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(t) boost::type<t>* = 0
# define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(t) boost::type<t>*
# define BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE(t, v) boost::non_type<t, v>* = 0
# define BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v) boost::non_type<t, v>*
# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(t) \
, BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(t)
# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(t) \
, BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(t)
# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE(t, v) \
, BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE(t, v)
# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v) \
, BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v)
#else
// no workaround needed: expand to nothing
# define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE(t)
# define BOOST_MATH_EXPLICIT_TEMPLATE_TYPE_SPEC(t)
# define BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE(t, v)
# define BOOST_MATH_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v)
# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE(t)
# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_TYPE_SPEC(t)
# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE(t, v)
# define BOOST_MATH_APPEND_EXPLICIT_TEMPLATE_NON_TYPE_SPEC(t, v)
#endif // __SUNPRO_CC
#if (defined(__SUNPRO_CC) || defined(__hppa) || defined(__GNUC__)) && !defined(BOOST_MATH_SMALL_CONSTANT)
// Sun's compiler emits a hard error if a constant underflows,
// as does aCC on PA-RISC, while gcc issues a large number of warnings:
# define BOOST_MATH_SMALL_CONSTANT(x) 0.0
#else
# define BOOST_MATH_SMALL_CONSTANT(x) x
#endif
#if BOOST_WORKAROUND(BOOST_MSVC, < 1400)
//
// Define if constants too large for a float cause "bad"
// values to be stored in the data, rather than infinity
// or a suitably large value.
//
# define BOOST_MATH_BUGGY_LARGE_FLOAT_CONSTANTS
#endif
//
// Tune performance options for specific compilers:
//
#ifdef BOOST_MSVC
# define BOOST_MATH_POLY_METHOD 2
# define BOOST_MATH_RATIONAL_METHOD 1
#elif defined(BOOST_INTEL)
# define BOOST_MATH_POLY_METHOD 2
# define BOOST_MATH_RATIONAL_METHOD 1
#elif defined(__GNUC__)
#if __GNUC__ < 4
# define BOOST_MATH_POLY_METHOD 3
# define BOOST_MATH_RATIONAL_METHOD 3
# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT
# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L
#else
# define BOOST_MATH_POLY_METHOD 3
# define BOOST_MATH_RATIONAL_METHOD 1
#endif
#endif
#if defined(BOOST_NO_LONG_LONG) && !defined(BOOST_MATH_INT_TABLE_TYPE)
# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) RT
# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##.0L
#endif
//
// constexpr support, early GCC implementations can't cope so disable
// constexpr for them:
//
#if !defined(__clang) && defined(__GNUC__)
#if (__GNUC__ * 100 + __GNUC_MINOR__) < 490
# define BOOST_MATH_DISABLE_CONSTEXPR
#endif
#endif
#ifdef BOOST_MATH_DISABLE_CONSTEXPR
# define BOOST_MATH_CONSTEXPR
#else
# define BOOST_MATH_CONSTEXPR BOOST_CONSTEXPR
#endif
//
// noexcept support:
//
#ifndef BOOST_NO_CXX11_NOEXCEPT
#ifndef BOOST_NO_CXX11_HDR_TYPE_TRAITS
#include <type_traits>
# define BOOST_MATH_NOEXCEPT(T) noexcept(std::is_floating_point<T>::value)
# define BOOST_MATH_IS_FLOAT(T) (std::is_floating_point<T>::value)
#else
#include <boost/type_traits/is_floating_point.hpp>
# define BOOST_MATH_NOEXCEPT(T) noexcept(boost::is_floating_point<T>::value)
# define BOOST_MATH_IS_FLOAT(T) (boost::is_floating_point<T>::value)
#endif
#else
# define BOOST_MATH_NOEXCEPT(T)
# define BOOST_MATH_IS_FLOAT(T) false
#endif
//
// The maximum order of polynomial that will be evaluated
// via an unrolled specialisation:
//
#ifndef BOOST_MATH_MAX_POLY_ORDER
# define BOOST_MATH_MAX_POLY_ORDER 20
#endif
//
// Set the method used to evaluate polynomials and rationals:
//
#ifndef BOOST_MATH_POLY_METHOD
# define BOOST_MATH_POLY_METHOD 2
#endif
#ifndef BOOST_MATH_RATIONAL_METHOD
# define BOOST_MATH_RATIONAL_METHOD 1
#endif
//
// decide whether to store constants as integers or reals:
//
#ifndef BOOST_MATH_INT_TABLE_TYPE
# define BOOST_MATH_INT_TABLE_TYPE(RT, IT) IT
#endif
#ifndef BOOST_MATH_INT_VALUE_SUFFIX
# define BOOST_MATH_INT_VALUE_SUFFIX(RV, SUF) RV##SUF
#endif
//
// And then the actual configuration:
//
#if defined(_GLIBCXX_USE_FLOAT128) && defined(BOOST_GCC) && !defined(__STRICT_ANSI__) \
&& !defined(BOOST_MATH_DISABLE_FLOAT128) || defined(BOOST_MATH_USE_FLOAT128)
//
// Only enable this when the compiler really is GCC as clang and probably
// intel too don't support __float128 yet :-(
//
#ifndef BOOST_MATH_USE_FLOAT128
# define BOOST_MATH_USE_FLOAT128
#endif
# if defined(BOOST_INTEL) && defined(BOOST_INTEL_CXX_VERSION) && (BOOST_INTEL_CXX_VERSION >= 1310) && defined(__GNUC__)
# if (__GNUC__ > 4) || ((__GNUC__ == 4) && (__GNUC_MINOR__ >= 6))
# define BOOST_MATH_FLOAT128_TYPE __float128
# endif
# elif defined(__GNUC__)
# define BOOST_MATH_FLOAT128_TYPE __float128
# endif
# ifndef BOOST_MATH_FLOAT128_TYPE
# define BOOST_MATH_FLOAT128_TYPE _Quad
# endif
#endif
//
// Check for WinCE with no iostream support:
//
#if defined(_WIN32_WCE) && !defined(__SGI_STL_PORT)
# define BOOST_MATH_NO_LEXICAL_CAST
#endif
//
// Helper macro for controlling the FP behaviour:
//
#ifndef BOOST_MATH_CONTROL_FP
# define BOOST_MATH_CONTROL_FP
#endif
//
// Helper macro for using statements:
//
#define BOOST_MATH_STD_USING_CORE \
using std::abs;\
using std::acos;\
using std::cos;\
using std::fmod;\
using std::modf;\
using std::tan;\
using std::asin;\
using std::cosh;\
using std::frexp;\
using std::pow;\
using std::tanh;\
using std::atan;\
using std::exp;\
using std::ldexp;\
using std::sin;\
using std::atan2;\
using std::fabs;\
using std::log;\
using std::sinh;\
using std::ceil;\
using std::floor;\
using std::log10;\
using std::sqrt;
#define BOOST_MATH_STD_USING BOOST_MATH_STD_USING_CORE
namespace boost{ namespace math{
namespace tools
{
template <class T>
inline T max BOOST_PREVENT_MACRO_SUBSTITUTION(T a, T b, T c) BOOST_MATH_NOEXCEPT(T)
{
return (std::max)((std::max)(a, b), c);
}
template <class T>
inline T max BOOST_PREVENT_MACRO_SUBSTITUTION(T a, T b, T c, T d) BOOST_MATH_NOEXCEPT(T)
{
return (std::max)((std::max)(a, b), (std::max)(c, d));
}
} // namespace tools
template <class T>
void suppress_unused_variable_warning(const T&) BOOST_MATH_NOEXCEPT(T)
{
}
namespace detail{
template <class T>
struct is_integer_for_rounding
{
static const bool value = boost::is_integral<T>::value
#ifndef BOOST_NO_LIMITS_COMPILE_TIME_CONSTANTS
|| (std::numeric_limits<T>::is_specialized && std::numeric_limits<T>::is_integer)
#endif
;
};
}
}} // namespace boost namespace math
#ifdef __GLIBC_PREREQ
# if __GLIBC_PREREQ(2,14)
# define BOOST_MATH_HAVE_FIXED_GLIBC
# endif
#endif
#if ((defined(__linux__) && !defined(__UCLIBC__) && !defined(BOOST_MATH_HAVE_FIXED_GLIBC)) || defined(__QNX__) || defined(__IBMCPP__)) && !defined(BOOST_NO_FENV_H)
//
// This code was introduced in response to this glibc bug: http://sourceware.org/bugzilla/show_bug.cgi?id=2445
// Basically powl and expl can return garbage when the result is small and certain exception flags are set
// on entrance to these functions. This appears to have been fixed in Glibc 2.14 (May 2011).
// Much more information in this message thread: https://groups.google.com/forum/#!topic/boost-list/ZT99wtIFlb4
//
#include <boost/detail/fenv.hpp>
# ifdef FE_ALL_EXCEPT
namespace boost{ namespace math{
namespace detail
{
struct fpu_guard
{
fpu_guard()
{
fegetexceptflag(&m_flags, FE_ALL_EXCEPT);
feclearexcept(FE_ALL_EXCEPT);
}
~fpu_guard()
{
fesetexceptflag(&m_flags, FE_ALL_EXCEPT);
}
private:
fexcept_t m_flags;
};
} // namespace detail
}} // namespaces
# define BOOST_FPU_EXCEPTION_GUARD boost::math::detail::fpu_guard local_guard_object;
# define BOOST_MATH_INSTRUMENT_FPU do{ fexcept_t cpu_flags; fegetexceptflag(&cpu_flags, FE_ALL_EXCEPT); BOOST_MATH_INSTRUMENT_VARIABLE(cpu_flags); } while(0);
# else
# define BOOST_FPU_EXCEPTION_GUARD
# define BOOST_MATH_INSTRUMENT_FPU
# endif
#else // All other platforms.
# define BOOST_FPU_EXCEPTION_GUARD
# define BOOST_MATH_INSTRUMENT_FPU
#endif
#ifdef BOOST_MATH_INSTRUMENT
# include <iostream>
# include <iomanip>
# include <typeinfo>
# define BOOST_MATH_INSTRUMENT_CODE(x) \
std::cout << std::setprecision(35) << __FILE__ << ":" << __LINE__ << " " << x << std::endl;
# define BOOST_MATH_INSTRUMENT_VARIABLE(name) BOOST_MATH_INSTRUMENT_CODE(BOOST_STRINGIZE(name) << " = " << name)
#else
# define BOOST_MATH_INSTRUMENT_CODE(x)
# define BOOST_MATH_INSTRUMENT_VARIABLE(name)
#endif
#endif // BOOST_MATH_TOOLS_CONFIG_HPP

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// boost\math\tools\promotion.hpp
// Copyright John Maddock 2006.
// Copyright Paul A. Bristow 2006.
// Use, modification and distribution are subject to 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)
// Promote arguments functions to allow math functions to have arguments
// provided as integer OR real (floating-point, built-in or UDT)
// (called ArithmeticType in functions that use promotion)
// that help to reduce the risk of creating multiple instantiations.
// Allows creation of an inline wrapper that forwards to a foo(RT, RT) function,
// so you never get to instantiate any mixed foo(RT, IT) functions.
#ifndef BOOST_MATH_PROMOTION_HPP
#define BOOST_MATH_PROMOTION_HPP
#ifdef _MSC_VER
#pragma once
#endif
// Boost type traits:
#include <boost/math/tools/config.hpp>
#include <boost/type_traits/is_floating_point.hpp> // for boost::is_floating_point;
#include <boost/type_traits/is_integral.hpp> // for boost::is_integral
#include <boost/type_traits/is_convertible.hpp> // for boost::is_convertible
#include <boost/type_traits/is_same.hpp>// for boost::is_same
#include <boost/type_traits/remove_cv.hpp>// for boost::remove_cv
// Boost Template meta programming:
#include <boost/mpl/if.hpp> // for boost::mpl::if_c.
#include <boost/mpl/and.hpp> // for boost::mpl::if_c.
#include <boost/mpl/or.hpp> // for boost::mpl::if_c.
#include <boost/mpl/not.hpp> // for boost::mpl::if_c.
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
#include <boost/static_assert.hpp>
#endif
namespace boost
{
namespace math
{
namespace tools
{
// If either T1 or T2 is an integer type,
// pretend it was a double (for the purposes of further analysis).
// Then pick the wider of the two floating-point types
// as the actual signature to forward to.
// For example:
// foo(int, short) -> double foo(double, double);
// foo(int, float) -> double foo(double, double);
// Note: NOT float foo(float, float)
// foo(int, double) -> foo(double, double);
// foo(double, float) -> double foo(double, double);
// foo(double, float) -> double foo(double, double);
// foo(any-int-or-float-type, long double) -> foo(long double, long double);
// but ONLY float foo(float, float) is unchanged.
// So the only way to get an entirely float version is to call foo(1.F, 2.F),
// But since most (all?) the math functions convert to double internally,
// probably there would not be the hoped-for gain by using float here.
// This follows the C-compatible conversion rules of pow, etc
// where pow(int, float) is converted to pow(double, double).
template <class T>
struct promote_arg
{ // If T is integral type, then promote to double.
typedef typename mpl::if_<is_integral<T>, double, T>::type type;
};
// These full specialisations reduce mpl::if_ usage and speed up
// compilation:
template <> struct promote_arg<float> { typedef float type; };
template <> struct promote_arg<double>{ typedef double type; };
template <> struct promote_arg<long double> { typedef long double type; };
template <> struct promote_arg<int> { typedef double type; };
template <class T1, class T2>
struct promote_args_2
{ // Promote, if necessary, & pick the wider of the two floating-point types.
// for both parameter types, if integral promote to double.
typedef typename promote_arg<T1>::type T1P; // T1 perhaps promoted.
typedef typename promote_arg<T2>::type T2P; // T2 perhaps promoted.
typedef typename mpl::if_<
typename mpl::and_<is_floating_point<T1P>, is_floating_point<T2P> >::type, // both T1P and T2P are floating-point?
#ifdef BOOST_MATH_USE_FLOAT128
typename mpl::if_< typename mpl::or_<is_same<__float128, T1P>, is_same<__float128, T2P> >::type, // either long double?
__float128,
#endif
typename mpl::if_< typename mpl::or_<is_same<long double, T1P>, is_same<long double, T2P> >::type, // either long double?
long double, // then result type is long double.
typename mpl::if_< typename mpl::or_<is_same<double, T1P>, is_same<double, T2P> >::type, // either double?
double, // result type is double.
float // else result type is float.
>::type
#ifdef BOOST_MATH_USE_FLOAT128
>::type
#endif
>::type,
// else one or the other is a user-defined type:
typename mpl::if_< typename mpl::and_<mpl::not_<is_floating_point<T2P> >, ::boost::is_convertible<T1P, T2P> >, T2P, T1P>::type>::type type;
}; // promote_arg2
// These full specialisations reduce mpl::if_ usage and speed up
// compilation:
template <> struct promote_args_2<float, float> { typedef float type; };
template <> struct promote_args_2<double, double>{ typedef double type; };
template <> struct promote_args_2<long double, long double> { typedef long double type; };
template <> struct promote_args_2<int, int> { typedef double type; };
template <> struct promote_args_2<int, float> { typedef double type; };
template <> struct promote_args_2<float, int> { typedef double type; };
template <> struct promote_args_2<int, double> { typedef double type; };
template <> struct promote_args_2<double, int> { typedef double type; };
template <> struct promote_args_2<int, long double> { typedef long double type; };
template <> struct promote_args_2<long double, int> { typedef long double type; };
template <> struct promote_args_2<float, double> { typedef double type; };
template <> struct promote_args_2<double, float> { typedef double type; };
template <> struct promote_args_2<float, long double> { typedef long double type; };
template <> struct promote_args_2<long double, float> { typedef long double type; };
template <> struct promote_args_2<double, long double> { typedef long double type; };
template <> struct promote_args_2<long double, double> { typedef long double type; };
template <class T1, class T2=float, class T3=float, class T4=float, class T5=float, class T6=float>
struct promote_args
{
typedef typename promote_args_2<
typename remove_cv<T1>::type,
typename promote_args_2<
typename remove_cv<T2>::type,
typename promote_args_2<
typename remove_cv<T3>::type,
typename promote_args_2<
typename remove_cv<T4>::type,
typename promote_args_2<
typename remove_cv<T5>::type, typename remove_cv<T6>::type
>::type
>::type
>::type
>::type
>::type type;
#ifdef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
//
// Guard against use of long double if it's not supported:
//
BOOST_STATIC_ASSERT_MSG((0 == ::boost::is_same<type, long double>::value), "Sorry, but this platform does not have sufficient long double support for the special functions to be reliably implemented.");
#endif
};
//
// This struct is the same as above, but has no static assert on long double usage,
// it should be used only on functions that can be implemented for long double
// even when std lib support is missing or broken for that type.
//
template <class T1, class T2=float, class T3=float, class T4=float, class T5=float, class T6=float>
struct promote_args_permissive
{
typedef typename promote_args_2<
typename remove_cv<T1>::type,
typename promote_args_2<
typename remove_cv<T2>::type,
typename promote_args_2<
typename remove_cv<T3>::type,
typename promote_args_2<
typename remove_cv<T4>::type,
typename promote_args_2<
typename remove_cv<T5>::type, typename remove_cv<T6>::type
>::type
>::type
>::type
>::type
>::type type;
};
} // namespace tools
} // namespace math
} // namespace boost
#endif // BOOST_MATH_PROMOTION_HPP

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// Copyright John Maddock 2006.
// Use, modification and distribution are subject to 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_TOOLS_REAL_CAST_HPP
#define BOOST_MATH_TOOLS_REAL_CAST_HPP
#include <boost/math/tools/config.hpp>
#ifdef _MSC_VER
#pragma once
#endif
namespace boost{ namespace math
{
namespace tools
{
template <class To, class T>
inline BOOST_MATH_CONSTEXPR To real_cast(T t) BOOST_NOEXCEPT_IF(BOOST_MATH_IS_FLOAT(T) && BOOST_MATH_IS_FLOAT(To))
{
return static_cast<To>(t);
}
} // namespace tools
} // namespace math
} // namespace boost
#endif // BOOST_MATH_TOOLS_REAL_CAST_HPP

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// Copyright John Maddock 2007.
// Copyright Paul A. Bristow 2007.
// Use, modification and distribution are subject to 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_TOOLS_USER_HPP
#define BOOST_MATH_TOOLS_USER_HPP
#ifdef _MSC_VER
#pragma once
#endif
// This file can be modified by the user to change the default policies.
// See "Changing the Policy Defaults" in documentation.
// define this if the platform has no long double functions,
// or if the long double versions have only double precision:
//
// #define BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
//
// Performance tuning options:
//
// #define BOOST_MATH_POLY_METHOD 3
// #define BOOST_MATH_RATIONAL_METHOD 3
//
// The maximum order of polynomial that will be evaluated
// via an unrolled specialisation:
//
// #define BOOST_MATH_MAX_POLY_ORDER 17
//
// decide whether to store constants as integers or reals:
//
// #define BOOST_MATH_INT_TABLE_TYPE(RT, IT) IT
//
// Default policies follow:
//
// Domain errors:
//
// #define BOOST_MATH_DOMAIN_ERROR_POLICY throw_on_error
//
// Pole errors:
//
// #define BOOST_MATH_POLE_ERROR_POLICY throw_on_error
//
// Overflow Errors:
//
// #define BOOST_MATH_OVERFLOW_ERROR_POLICY throw_on_error
//
// Internal Evaluation Errors:
//
// #define BOOST_MATH_EVALUATION_ERROR_POLICY throw_on_error
//
// Underfow:
//
// #define BOOST_MATH_UNDERFLOW_ERROR_POLICY ignore_error
//
// Denorms:
//
// #define BOOST_MATH_DENORM_ERROR_POLICY ignore_error
//
// Max digits to use for internal calculations:
//
// #define BOOST_MATH_DIGITS10_POLICY 0
//
// Promote floats to doubles internally?
//
// #define BOOST_MATH_PROMOTE_FLOAT_POLICY true
//
// Promote doubles to long double internally:
//
// #define BOOST_MATH_PROMOTE_DOUBLE_POLICY true
//
// What do discrete quantiles return?
//
// #define BOOST_MATH_DISCRETE_QUANTILE_POLICY integer_round_outwards
//
// If a function is mathematically undefined
// (for example the Cauchy distribution has no mean),
// then do we stop the code from compiling?
//
// #define BOOST_MATH_ASSERT_UNDEFINED_POLICY true
//
// Maximum series iterstions permitted:
//
// #define BOOST_MATH_MAX_SERIES_ITERATION_POLICY 1000000
//
// Maximum root finding steps permitted:
//
// define BOOST_MATH_MAX_ROOT_ITERATION_POLICY 200
//
// Enable use of __float128 in numeric constants:
//
// #define BOOST_MATH_USE_FLOAT128
//
// Disable use of __float128 in numeric_constants even if the compiler looks to support it:
//
// #define BOOST_MATH_DISABLE_FLOAT128
#endif // BOOST_MATH_TOOLS_USER_HPP