// Copyright (c) 2020 PaddlePaddle Authors. All Rights Reserved. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. #pragma once #include #include #if !defined(_WIN32) #define PADDLE_ALIGN(x) __attribute__((aligned(x))) #else #define PADDLE_ALIGN(x) __declspec(align(x)) #endif #include #include "paddle/fluid/platform/hostdevice.h" #include "unsupported/Eigen/CXX11/Tensor" namespace paddle { namespace platform { struct PADDLE_ALIGN(2) bfloat16 { public: uint16_t x; bfloat16() = default; bfloat16(const bfloat16& o) = default; bfloat16& operator=(const bfloat16& o) = default; bfloat16(bfloat16&& o) = default; bfloat16& operator=(bfloat16&& o) = default; ~bfloat16() = default; HOSTDEVICE inline explicit bfloat16(float val) { std::memcpy(&x, reinterpret_cast(&val) + 2, 2); } template HOSTDEVICE inline explicit bfloat16(const T& val) : x(bfloat16(static_cast(val)).x) {} HOSTDEVICE inline bfloat16& operator=(bool b) { x = b ? 0x3f80 : 0; return *this; } HOSTDEVICE inline bfloat16& operator=(int8_t val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(uint8_t val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(int16_t val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(uint16_t val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(int32_t val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(uint32_t val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(int64_t val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(uint64_t val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(float val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline bfloat16& operator=(double val) { x = bfloat16(val).x; return *this; } HOSTDEVICE inline explicit operator float() const { float val = 0.f; uint16_t temp = x; memcpy(reinterpret_cast(&val) + 2, reinterpret_cast(&temp), 2); return val; } HOSTDEVICE inline explicit operator bool() const { return (x & 0x7fff) != 0; } HOSTDEVICE inline explicit operator int8_t() const { return static_cast(static_cast(*this)); } HOSTDEVICE inline explicit operator uint8_t() const { return static_cast(static_cast(*this)); } HOSTDEVICE inline explicit operator int16_t() const { return static_cast(static_cast(*this)); } HOSTDEVICE inline explicit operator uint16_t() const { return static_cast(static_cast(*this)); } HOSTDEVICE inline explicit operator int32_t() const { return static_cast(static_cast(*this)); } HOSTDEVICE inline explicit operator uint32_t() const { return static_cast(static_cast(*this)); } HOSTDEVICE inline explicit operator int64_t() const { return static_cast(static_cast(*this)); } HOSTDEVICE inline explicit operator uint64_t() const { return static_cast(static_cast(*this)); } HOSTDEVICE inline explicit operator double() const { return static_cast(static_cast(*this)); } }; HOSTDEVICE inline bfloat16 operator+(const bfloat16& a, const bfloat16& b) { return bfloat16(static_cast(a) + static_cast(b)); } HOSTDEVICE inline bfloat16 operator-(const bfloat16& a, const bfloat16& b) { return bfloat16(static_cast(a) - static_cast(b)); } HOSTDEVICE inline bfloat16 operator*(const bfloat16& a, const bfloat16& b) { return bfloat16(static_cast(a) * static_cast(b)); } HOSTDEVICE inline bfloat16 operator/(const bfloat16& a, const bfloat16& b) { return bfloat16(static_cast(a) / static_cast(b)); } HOSTDEVICE inline bfloat16 operator-(const bfloat16& a) { bfloat16 res; res.x = a.x ^ 0x8000; return res; } HOSTDEVICE inline bfloat16& operator+=(bfloat16& a, // NOLINT const bfloat16& b) { a = bfloat16(static_cast(a) + static_cast(b)); return a; } HOSTDEVICE inline bfloat16& operator-=(bfloat16& a, // NOLINT const bfloat16& b) { a = bfloat16(static_cast(a) - static_cast(b)); return a; } HOSTDEVICE inline bfloat16& operator*=(bfloat16& a, // NOLINT const bfloat16& b) { a = bfloat16(static_cast(a) * static_cast(b)); return a; } HOSTDEVICE inline bfloat16& operator/=(bfloat16& a, // NOLINT const bfloat16& b) { a = bfloat16(static_cast(a) / static_cast(b)); return a; } HOSTDEVICE inline bfloat16 raw_uint16_to_bfloat16(uint16_t a) { bfloat16 res; res.x = a; return res; } HOSTDEVICE inline bool operator==(const bfloat16& a, const bfloat16& b) { return static_cast(a) == static_cast(b); } HOSTDEVICE inline bool operator!=(const bfloat16& a, const bfloat16& b) { return static_cast(a) != static_cast(b); } HOSTDEVICE inline bool operator<(const bfloat16& a, const bfloat16& b) { return static_cast(a) < static_cast(b); } HOSTDEVICE inline bool operator<=(const bfloat16& a, const bfloat16& b) { return static_cast(a) <= static_cast(b); } HOSTDEVICE inline bool operator>(const bfloat16& a, const bfloat16& b) { return static_cast(a) > static_cast(b); } HOSTDEVICE inline bool operator>=(const bfloat16& a, const bfloat16& b) { return static_cast(a) >= static_cast(b); } HOSTDEVICE inline bool(isnan)(const bfloat16& a) { return (a.x & 0x7FFF) > 0x7F80; } HOSTDEVICE inline bool(isinf)(const bfloat16& a) { return (a.x & 0x7F80) == 0x7F80; } HOSTDEVICE inline bool(isfinite)(const bfloat16& a) { return !((isnan)(a)) && !((isinf)(a)); } inline std::ostream& operator<<(std::ostream& os, const bfloat16& a) { os << a.x; return os; } } // namespace platform } // namespace paddle namespace std { template <> struct is_pod { static const bool value = is_trivial::value && is_standard_layout::value; }; template <> struct is_floating_point : std::integral_constant< bool, std::is_same::type>::value> {}; template <> struct is_signed { static const bool value = true; }; template <> struct is_unsigned { static const bool value = false; }; inline bool isnan(const paddle::platform::bfloat16& a) { return paddle::platform::isnan(a); } inline bool isinf(const paddle::platform::bfloat16& a) { return paddle::platform::isinf(a); } template <> struct numeric_limits { static const bool is_specialized = true; static const bool is_signed = true; static const bool is_integer = false; static const bool is_exact = false; static const bool has_infinity = true; static const bool has_quiet_NaN = true; static const bool has_signaling_NaN = true; static const float_denorm_style has_denorm = denorm_present; static const bool has_denorm_loss = false; static const std::float_round_style round_style = std::round_to_nearest; static const bool is_iec559 = false; static const bool is_bounded = false; static const bool is_modulo = false; static const int digits = 8; static const int digits10 = 2; static const int max_digits10 = 9; static const int radix = 2; static const int min_exponent = -125; static const int min_exponent10 = -37; static const int max_exponent = 128; static const int max_exponent10 = 38; static const bool traps = true; static const bool tinyness_before = false; static paddle::platform::bfloat16(min)() { return paddle::platform::raw_uint16_to_bfloat16(0x007f); } static paddle::platform::bfloat16 lowest() { return paddle::platform::raw_uint16_to_bfloat16(0xff7f); } static paddle::platform::bfloat16(max)() { return paddle::platform::raw_uint16_to_bfloat16(0x7f7f); } static paddle::platform::bfloat16 epsilon() { return paddle::platform::raw_uint16_to_bfloat16(0x3400); } static paddle::platform::bfloat16 round_error() { return paddle::platform::bfloat16(0.5); } static paddle::platform::bfloat16 infinity() { return paddle::platform::raw_uint16_to_bfloat16(0x7f80); } static paddle::platform::bfloat16 quiet_NaN() { return paddle::platform::raw_uint16_to_bfloat16(0xffc1); } static paddle::platform::bfloat16 signaling_NaN() { return paddle::platform::raw_uint16_to_bfloat16(0xff81); } static paddle::platform::bfloat16 denorm_min() { return paddle::platform::raw_uint16_to_bfloat16(0x0001); } }; } // namespace std namespace Eigen { using bfloat16 = paddle::platform::bfloat16; template <> struct NumTraits : GenericNumTraits { enum { IsSigned = true, IsInteger = false, IsComplex = false, RequireInitialization = false }; HOSTDEVICE static inline bfloat16 epsilon() { return paddle::platform::raw_uint16_to_bfloat16(0x3400); } HOSTDEVICE static inline bfloat16 dummy_precision() { return bfloat16(1e-5f); } HOSTDEVICE static inline bfloat16 highest() { return paddle::platform::raw_uint16_to_bfloat16(0x7f7f); } HOSTDEVICE static inline bfloat16 lowest() { return paddle::platform::raw_uint16_to_bfloat16(0xff7f); } HOSTDEVICE static inline bfloat16 infinity() { return paddle::platform::raw_uint16_to_bfloat16(0x7f80); } HOSTDEVICE static inline bfloat16 quiet_NaN() { return paddle::platform::raw_uint16_to_bfloat16(0xffc1); } }; namespace numext { template <> HOSTDEVICE inline bool(isnan)(const bfloat16& a) { return (paddle::platform::isnan)(a); } template <> HOSTDEVICE inline bool(isinf)(const bfloat16& a) { return (paddle::platform::isinf)(a); } template <> HOSTDEVICE inline bool(isfinite)(const bfloat16& a) { return (paddle::platform::isfinite)(a); } template <> HOSTDEVICE inline bfloat16 exp(const bfloat16& a) { return bfloat16(::expf(static_cast(a))); } template <> HOSTDEVICE inline bfloat16 erf(const bfloat16& a) { return bfloat16(::erff(static_cast(a))); } template <> HOSTDEVICE inline bfloat16 log(const bfloat16& a) { return bfloat16(::logf(static_cast(a))); } template <> HOSTDEVICE inline bfloat16 tanh(const bfloat16& a) { return bfloat16(::tanhf(static_cast(a))); } template <> HOSTDEVICE inline bfloat16 sqrt(const bfloat16& a) { return bfloat16(::sqrtf(static_cast(a))); } template <> HOSTDEVICE inline bfloat16 ceil(const bfloat16& a) { return bfloat16(::ceilf(static_cast(a))); } template <> HOSTDEVICE inline bfloat16 floor(const bfloat16& a) { return bfloat16(::floorf(static_cast(a))); } template <> HOSTDEVICE inline bfloat16 round(const bfloat16& a) { return bfloat16(::roundf(static_cast(a))); } template <> HOSTDEVICE inline bfloat16 pow(const bfloat16& a, const bfloat16& b) { return bfloat16(::powf(static_cast(a), static_cast(b))); } template <> HOSTDEVICE inline bfloat16 abs(const bfloat16& a) { return bfloat16(::fabs(static_cast(a))); } } // namespace numext } // namespace Eigen