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Diffstat (limited to 'third_party/xsimd/include/xsimd/arch/xsimd_constants.hpp')
| -rw-r--r-- | third_party/xsimd/include/xsimd/arch/xsimd_constants.hpp | 391 |
1 files changed, 391 insertions, 0 deletions
diff --git a/third_party/xsimd/include/xsimd/arch/xsimd_constants.hpp b/third_party/xsimd/include/xsimd/arch/xsimd_constants.hpp new file mode 100644 index 0000000000..22dd5d3e30 --- /dev/null +++ b/third_party/xsimd/include/xsimd/arch/xsimd_constants.hpp @@ -0,0 +1,391 @@ +/*************************************************************************** + * Copyright (c) Johan Mabille, Sylvain Corlay, Wolf Vollprecht and * + * Martin Renou * + * Copyright (c) QuantStack * + * Copyright (c) Serge Guelton * + * * + * Distributed under the terms of the BSD 3-Clause License. * + * * + * The full license is in the file LICENSE, distributed with this software. * + ****************************************************************************/ + +#ifndef XSIMD_NUMERICAL_CONSTANT_HPP +#define XSIMD_NUMERICAL_CONSTANT_HPP + +#include <limits> + +#include "../types/xsimd_utils.hpp" + +namespace xsimd +{ + + namespace constants + { + +#define XSIMD_DEFINE_CONSTANT(NAME, SINGLE, DOUBLE) \ + template <class T> \ + inline T NAME() noexcept \ + { \ + return T(NAME<typename T::value_type>()); \ + } \ + template <> \ + inline float NAME<float>() noexcept \ + { \ + return SINGLE; \ + } \ + template <> \ + inline double NAME<double>() noexcept \ + { \ + return DOUBLE; \ + } + +#define XSIMD_DEFINE_CONSTANT_HEX(NAME, SINGLE, DOUBLE) \ + template <class T> \ + inline T NAME() noexcept \ + { \ + return T(NAME<typename T::value_type>()); \ + } \ + template <> \ + inline float NAME<float>() noexcept \ + { \ + return bit_cast<float>((uint32_t)SINGLE); \ + } \ + template <> \ + inline double NAME<double>() noexcept \ + { \ + return bit_cast<double>((uint64_t)DOUBLE); \ + } + +// Under fast-math, GCC might replace signmask (minus zero) by zero +#if defined(__FAST_MATH__) && defined(__GNUC__) && !defined(__clang__) +#pragma GCC push_options +#pragma GCC optimize("signed-zeros") +#endif + XSIMD_DEFINE_CONSTANT(infinity, (std::numeric_limits<float>::infinity()), (std::numeric_limits<double>::infinity())) + XSIMD_DEFINE_CONSTANT(invlog_2, 1.442695040888963407359924681001892137426645954152986f, 1.442695040888963407359924681001892137426645954152986) + XSIMD_DEFINE_CONSTANT_HEX(invlog_2hi, 0x3fb8b000, 0x3ff7154765200000) + XSIMD_DEFINE_CONSTANT_HEX(invlog_2lo, 0xb9389ad4, 0x3de705fc2eefa200) + XSIMD_DEFINE_CONSTANT(invlog10_2, 3.32192809488736234787031942949f, 3.32192809488736234787031942949) + XSIMD_DEFINE_CONSTANT_HEX(invpi, 0x3ea2f983, 0x3fd45f306dc9c883) + XSIMD_DEFINE_CONSTANT(log_2, 0.6931471805599453094172321214581765680755001343602553f, 0.6931471805599453094172321214581765680755001343602553) + XSIMD_DEFINE_CONSTANT_HEX(log_2hi, 0x3f318000, 0x3fe62e42fee00000) + XSIMD_DEFINE_CONSTANT_HEX(log_2lo, 0xb95e8083, 0x3dea39ef35793c76) + XSIMD_DEFINE_CONSTANT_HEX(log10_2hi, 0x3e9a0000, 0x3fd3440000000000) + XSIMD_DEFINE_CONSTANT_HEX(log10_2lo, 0x39826a14, 0x3ed3509f79fef312) + XSIMD_DEFINE_CONSTANT_HEX(logeps, 0xc17f1402, 0xc04205966f2b4f12) + XSIMD_DEFINE_CONSTANT_HEX(logpi, 0x3f928682, 0x3ff250d048e7a1bd) + XSIMD_DEFINE_CONSTANT_HEX(logsqrt2pi, 0x3f6b3f8e, 0x3fed67f1c864beb5) + XSIMD_DEFINE_CONSTANT(maxflint, 16777216.0f, 9007199254740992.0) + XSIMD_DEFINE_CONSTANT(maxlog, 88.3762626647949f, 709.78271289338400) + XSIMD_DEFINE_CONSTANT(maxlog2, 127.0f, 1023.) + XSIMD_DEFINE_CONSTANT(maxlog10, 38.23080825805664f, 308.2547155599167) + XSIMD_DEFINE_CONSTANT_HEX(mediumpi, 0x43490fdb, 0x412921fb54442d18) + XSIMD_DEFINE_CONSTANT(minlog, -88.3762626647949f, -708.3964185322641) + XSIMD_DEFINE_CONSTANT(minlog2, -127.0f, -1023.) + XSIMD_DEFINE_CONSTANT(minlog10, -37.89999771118164f, -308.2547155599167) + XSIMD_DEFINE_CONSTANT(minusinfinity, (-infinity<float>()), (-infinity<double>())) + XSIMD_DEFINE_CONSTANT_HEX(nan, 0xffffffff, 0xffffffffffffffff) + XSIMD_DEFINE_CONSTANT_HEX(oneosqrteps, 0x453504f3, 0x4190000000000000) + XSIMD_DEFINE_CONSTANT_HEX(oneotwoeps, 0x4a800000, 0x4320000000000000) + XSIMD_DEFINE_CONSTANT_HEX(pi, 0x40490fdb, 0x400921fb54442d18) + XSIMD_DEFINE_CONSTANT_HEX(pio_2lo, 0xb33bbd2e, 0x3c91a62633145c07) + XSIMD_DEFINE_CONSTANT_HEX(pio_4lo, 0xb2bbbd2e, 0x3c81a62633145c07) + XSIMD_DEFINE_CONSTANT_HEX(pio2, 0x3fc90fdb, 0x3ff921fb54442d18) + XSIMD_DEFINE_CONSTANT_HEX(pio2_1, 0x3fc90f80, 0x3ff921fb54400000) + XSIMD_DEFINE_CONSTANT_HEX(pio2_1t, 0x37354443, 0x3dd0b4611a626331) + XSIMD_DEFINE_CONSTANT_HEX(pio2_2, 0x37354400, 0x3dd0b4611a600000) + XSIMD_DEFINE_CONSTANT_HEX(pio2_2t, 0x2e85a308, 0x3ba3198a2e037073) + XSIMD_DEFINE_CONSTANT_HEX(pio2_3, 0x2e85a300, 0x3ba3198a2e000000) + XSIMD_DEFINE_CONSTANT_HEX(pio2_3t, 0x248d3132, 0x397b839a252049c1) + XSIMD_DEFINE_CONSTANT_HEX(pio4, 0x3f490fdb, 0x3fe921fb54442d18) + XSIMD_DEFINE_CONSTANT_HEX(signmask, 0x80000000, 0x8000000000000000) + XSIMD_DEFINE_CONSTANT(smallestposval, std::numeric_limits<float>::min(), std::numeric_limits<double>::min()) + XSIMD_DEFINE_CONSTANT_HEX(sqrt_2pi, 0x40206c99, 0x40040d931ff62704) + XSIMD_DEFINE_CONSTANT_HEX(sqrteps, 0x39b504f3, 0x3e50000000000000) + XSIMD_DEFINE_CONSTANT_HEX(tanpio8, 0x3ed413cd, 0x3fda827999fcef31) + XSIMD_DEFINE_CONSTANT_HEX(tan3pio8, 0x401a827a, 0x4003504f333f9de6) + XSIMD_DEFINE_CONSTANT_HEX(twentypi, 0x427b53d1, 0x404f6a7a2955385e) + XSIMD_DEFINE_CONSTANT_HEX(twoopi, 0x3f22f983, 0x3fe45f306dc9c883) + XSIMD_DEFINE_CONSTANT(twotonmb, 8388608.0f, 4503599627370496.0) + XSIMD_DEFINE_CONSTANT_HEX(twotonmbo3, 0x3ba14518, 0x3ed428a2f98d7286) +#if defined(__FAST_MATH__) && defined(__GNUC__) && !defined(__clang__) +#pragma GCC pop_options +#endif + +#undef XSIMD_DEFINE_CONSTANT +#undef XSIMD_DEFINE_CONSTANT_HEX + + template <class T> + constexpr T allbits() noexcept; + + template <class T> + constexpr as_integer_t<T> mask1frexp() noexcept; + + template <class T> + constexpr as_integer_t<T> mask2frexp() noexcept; + + template <class T> + constexpr as_integer_t<T> maxexponent() noexcept; + + template <class T> + constexpr as_integer_t<T> maxexponentm1() noexcept; + + template <class T> + constexpr int32_t nmb() noexcept; + + template <class T> + constexpr T zero() noexcept; + + template <class T> + constexpr T minvalue() noexcept; + + template <class T> + constexpr T maxvalue() noexcept; + + /************************** + * allbits implementation * + **************************/ + + namespace detail + { + template <class T, bool = std::is_integral<T>::value> + struct allbits_impl + { + static constexpr T get_value() noexcept + { + return T(~0); + } + }; + + template <class T> + struct allbits_impl<T, false> + { + static constexpr T get_value() noexcept + { + return nan<T>(); + } + }; + } + + template <class T> + inline constexpr T allbits() noexcept + { + return T(detail::allbits_impl<typename T::value_type>::get_value()); + } + + /***************************** + * mask1frexp implementation * + *****************************/ + + template <class T> + inline constexpr as_integer_t<T> mask1frexp() noexcept + { + return as_integer_t<T>(mask1frexp<typename T::value_type>()); + } + + template <> + inline constexpr int32_t mask1frexp<float>() noexcept + { + return 0x7f800000; + } + + template <> + inline constexpr int64_t mask1frexp<double>() noexcept + { + return 0x7ff0000000000000; + } + + /***************************** + * mask2frexp implementation * + *****************************/ + + template <class T> + inline constexpr as_integer_t<T> mask2frexp() noexcept + { + return as_integer_t<T>(mask2frexp<typename T::value_type>()); + } + + template <> + inline constexpr int32_t mask2frexp<float>() noexcept + { + return 0x3f000000; + } + + template <> + inline constexpr int64_t mask2frexp<double>() noexcept + { + return 0x3fe0000000000000; + } + + /****************************** + * maxexponent implementation * + ******************************/ + + template <class T> + inline constexpr as_integer_t<T> maxexponent() noexcept + { + return as_integer_t<T>(maxexponent<typename T::value_type>()); + } + + template <> + inline constexpr int32_t maxexponent<float>() noexcept + { + return 127; + } + + template <> + inline constexpr int64_t maxexponent<double>() noexcept + { + return 1023; + } + + /****************************** + * maxexponent implementation * + ******************************/ + + template <class T> + inline constexpr as_integer_t<T> maxexponentm1() noexcept + { + return as_integer_t<T>(maxexponentm1<typename T::value_type>()); + } + + template <> + inline constexpr int32_t maxexponentm1<float>() noexcept + { + return 126; + } + + template <> + inline constexpr int64_t maxexponentm1<double>() noexcept + { + return 1022; + } + + /********************** + * nmb implementation * + **********************/ + + template <class T> + inline constexpr int32_t nmb() noexcept + { + return nmb<typename T::value_type>(); + } + + template <> + inline constexpr int32_t nmb<float>() noexcept + { + return 23; + } + + template <> + inline constexpr int32_t nmb<double>() noexcept + { + return 52; + } + + /*********************** + * zero implementation * + ***********************/ + + template <class T> + inline constexpr T zero() noexcept + { + return T(typename T::value_type(0)); + } + + /*************************** + * minvalue implementation * + ***************************/ + + namespace detail + { + template <class T> + struct minvalue_impl + { + static constexpr T get_value() noexcept + { + return std::numeric_limits<typename T::value_type>::min(); + } + }; + + template <class T> + struct minvalue_common + { + static constexpr T get_value() noexcept + { + return std::numeric_limits<T>::min(); + } + }; + + template <> + struct minvalue_impl<int8_t> : minvalue_common<int8_t> + { + }; + template <> + struct minvalue_impl<uint8_t> : minvalue_common<uint8_t> + { + }; + template <> + struct minvalue_impl<int16_t> : minvalue_common<int16_t> + { + }; + template <> + struct minvalue_impl<uint16_t> : minvalue_common<uint16_t> + { + }; + template <> + struct minvalue_impl<int32_t> : minvalue_common<int32_t> + { + }; + template <> + struct minvalue_impl<uint32_t> : minvalue_common<uint32_t> + { + }; + template <> + struct minvalue_impl<int64_t> : minvalue_common<int64_t> + { + }; + template <> + struct minvalue_impl<uint64_t> : minvalue_common<uint64_t> + { + }; + + template <> + struct minvalue_impl<float> + { + inline static float get_value() noexcept + { + return bit_cast<float>((uint32_t)0xff7fffff); + } + }; + + template <> + struct minvalue_impl<double> + { + inline static double get_value() noexcept + { + return bit_cast<double>((uint64_t)0xffefffffffffffff); + } + }; + } + + template <class T> + constexpr T minvalue() noexcept + { + return T(detail::minvalue_impl<typename T::value_type>::get_value()); + } + + /*************************** + * maxvalue implementation * + ***************************/ + + template <class T> + constexpr T maxvalue() noexcept + { + return T(std::numeric_limits<typename T::value_type>::max()); + } + } + +} + +#endif |