diff options
Diffstat (limited to '3rdParty/Boost/src/boost/math/special_functions/detail')
-rw-r--r-- | 3rdParty/Boost/src/boost/math/special_functions/detail/fp_traits.hpp | 570 | ||||
-rw-r--r-- | 3rdParty/Boost/src/boost/math/special_functions/detail/round_fwd.hpp | 80 |
2 files changed, 650 insertions, 0 deletions
diff --git a/3rdParty/Boost/src/boost/math/special_functions/detail/fp_traits.hpp b/3rdParty/Boost/src/boost/math/special_functions/detail/fp_traits.hpp new file mode 100644 index 0000000..50c034d --- /dev/null +++ b/3rdParty/Boost/src/boost/math/special_functions/detail/fp_traits.hpp @@ -0,0 +1,570 @@ +// 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). + + +// 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(BOOST_MATH_DISABLE_STD_FPCLASSIFY) +# 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 diff --git a/3rdParty/Boost/src/boost/math/special_functions/detail/round_fwd.hpp b/3rdParty/Boost/src/boost/math/special_functions/detail/round_fwd.hpp new file mode 100644 index 0000000..952259a --- /dev/null +++ b/3rdParty/Boost/src/boost/math/special_functions/detail/round_fwd.hpp @@ -0,0 +1,80 @@ +// 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> + +#ifdef _MSC_VER +#pragma once +#endif + +namespace boost +{ + namespace math + { + + template <class T, class Policy> + T trunc(const T& v, const Policy& pol); + template <class T> + T 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> + T round(const T& v, const Policy& pol); + template <class T> + T 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 + + } +} +#endif // BOOST_MATH_SPECIAL_ROUND_FWD_HPP + |