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- #pragma once
- #include <c10/macros/Macros.h>
- #include <limits>
- C10_CLANG_DIAGNOSTIC_PUSH()
- #if C10_CLANG_HAS_WARNING("-Wimplicit-int-float-conversion")
- C10_CLANG_DIAGNOSTIC_IGNORE("-Wimplicit-int-float-conversion")
- #endif
- #if defined(SYCL_EXT_ONEAPI_BFLOAT16_MATH_FUNCTIONS)
- #if defined(CL_SYCL_LANGUAGE_VERSION)
- #include <CL/sycl.hpp> // for SYCL 1.2.1
- #else
- #include <sycl/sycl.hpp> // for SYCL 2020
- #endif
- #include <ext/oneapi/bfloat16.hpp>
- #endif
- namespace c10 {
- /// Constructors
- inline C10_HOST_DEVICE BFloat16::BFloat16(float value)
- :
- #if defined(__CUDACC__) && !defined(USE_ROCM) && defined(__CUDA_ARCH__) && \
- __CUDA_ARCH__ >= 800
- x(__bfloat16_as_ushort(__float2bfloat16(value)))
- #elif defined(__SYCL_DEVICE_ONLY__) && \
- defined(SYCL_EXT_ONEAPI_BFLOAT16_MATH_FUNCTIONS)
- x(sycl::bit_cast<uint16_t>(sycl::ext::oneapi::bfloat16(value)))
- #else
- // RNE by default
- x(detail::round_to_nearest_even(value))
- #endif
- {
- }
- /// Implicit conversions
- inline C10_HOST_DEVICE BFloat16::operator float() const {
- #if defined(__CUDACC__) && !defined(USE_ROCM)
- return __bfloat162float(*reinterpret_cast<const __nv_bfloat16*>(&x));
- #elif defined(__SYCL_DEVICE_ONLY__) && \
- defined(SYCL_EXT_ONEAPI_BFLOAT16_MATH_FUNCTIONS)
- return float(*reinterpret_cast<const sycl::ext::oneapi::bfloat16*>(&x));
- #else
- return detail::f32_from_bits(x);
- #endif
- }
- #if defined(__CUDACC__) && !defined(USE_ROCM)
- inline C10_HOST_DEVICE BFloat16::BFloat16(const __nv_bfloat16& value) {
- x = *reinterpret_cast<const unsigned short*>(&value);
- }
- inline C10_HOST_DEVICE BFloat16::operator __nv_bfloat16() const {
- return *reinterpret_cast<const __nv_bfloat16*>(&x);
- }
- #endif
- #if defined(SYCL_EXT_ONEAPI_BFLOAT16_MATH_FUNCTIONS)
- inline C10_HOST_DEVICE BFloat16::BFloat16(
- const sycl::ext::oneapi::bfloat16& value) {
- x = *reinterpret_cast<const unsigned short*>(&value);
- }
- inline C10_HOST_DEVICE BFloat16::operator sycl::ext::oneapi::bfloat16() const {
- return *reinterpret_cast<const sycl::ext::oneapi::bfloat16*>(&x);
- }
- #endif
- // CUDA intrinsics
- #if defined(__CUDACC__) || defined(__HIPCC__)
- inline C10_DEVICE BFloat16 __ldg(const BFloat16* ptr) {
- #if !defined(USE_ROCM) && defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 800
- return __ldg(reinterpret_cast<const __nv_bfloat16*>(ptr));
- #else
- return *ptr;
- #endif
- }
- #endif
- /// Arithmetic
- inline C10_HOST_DEVICE BFloat16
- operator+(const BFloat16& a, const BFloat16& b) {
- return static_cast<float>(a) + static_cast<float>(b);
- }
- inline C10_HOST_DEVICE BFloat16
- operator-(const BFloat16& a, const BFloat16& b) {
- return static_cast<float>(a) - static_cast<float>(b);
- }
- inline C10_HOST_DEVICE BFloat16
- operator*(const BFloat16& a, const BFloat16& b) {
- return static_cast<float>(a) * static_cast<float>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator/(const BFloat16& a, const BFloat16& b)
- __ubsan_ignore_float_divide_by_zero__ {
- return static_cast<float>(a) / static_cast<float>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator-(const BFloat16& a) {
- return -static_cast<float>(a);
- }
- inline C10_HOST_DEVICE BFloat16& operator+=(BFloat16& a, const BFloat16& b) {
- a = a + b;
- return a;
- }
- inline C10_HOST_DEVICE BFloat16& operator-=(BFloat16& a, const BFloat16& b) {
- a = a - b;
- return a;
- }
- inline C10_HOST_DEVICE BFloat16& operator*=(BFloat16& a, const BFloat16& b) {
- a = a * b;
- return a;
- }
- inline C10_HOST_DEVICE BFloat16& operator/=(BFloat16& a, const BFloat16& b) {
- a = a / b;
- return a;
- }
- inline C10_HOST_DEVICE BFloat16& operator|(BFloat16& a, const BFloat16& b) {
- a.x = a.x | b.x;
- return a;
- }
- inline C10_HOST_DEVICE BFloat16& operator^(BFloat16& a, const BFloat16& b) {
- a.x = a.x ^ b.x;
- return a;
- }
- inline C10_HOST_DEVICE BFloat16& operator&(BFloat16& a, const BFloat16& b) {
- a.x = a.x & b.x;
- return a;
- }
- /// Arithmetic with floats
- inline C10_HOST_DEVICE float operator+(BFloat16 a, float b) {
- return static_cast<float>(a) + b;
- }
- inline C10_HOST_DEVICE float operator-(BFloat16 a, float b) {
- return static_cast<float>(a) - b;
- }
- inline C10_HOST_DEVICE float operator*(BFloat16 a, float b) {
- return static_cast<float>(a) * b;
- }
- inline C10_HOST_DEVICE float operator/(BFloat16 a, float b) {
- return static_cast<float>(a) / b;
- }
- inline C10_HOST_DEVICE float operator+(float a, BFloat16 b) {
- return a + static_cast<float>(b);
- }
- inline C10_HOST_DEVICE float operator-(float a, BFloat16 b) {
- return a - static_cast<float>(b);
- }
- inline C10_HOST_DEVICE float operator*(float a, BFloat16 b) {
- return a * static_cast<float>(b);
- }
- inline C10_HOST_DEVICE float operator/(float a, BFloat16 b) {
- return a / static_cast<float>(b);
- }
- inline C10_HOST_DEVICE float& operator+=(float& a, const BFloat16& b) {
- return a += static_cast<float>(b);
- }
- inline C10_HOST_DEVICE float& operator-=(float& a, const BFloat16& b) {
- return a -= static_cast<float>(b);
- }
- inline C10_HOST_DEVICE float& operator*=(float& a, const BFloat16& b) {
- return a *= static_cast<float>(b);
- }
- inline C10_HOST_DEVICE float& operator/=(float& a, const BFloat16& b) {
- return a /= static_cast<float>(b);
- }
- /// Arithmetic with doubles
- inline C10_HOST_DEVICE double operator+(BFloat16 a, double b) {
- return static_cast<double>(a) + b;
- }
- inline C10_HOST_DEVICE double operator-(BFloat16 a, double b) {
- return static_cast<double>(a) - b;
- }
- inline C10_HOST_DEVICE double operator*(BFloat16 a, double b) {
- return static_cast<double>(a) * b;
- }
- inline C10_HOST_DEVICE double operator/(BFloat16 a, double b) {
- return static_cast<double>(a) / b;
- }
- inline C10_HOST_DEVICE double operator+(double a, BFloat16 b) {
- return a + static_cast<double>(b);
- }
- inline C10_HOST_DEVICE double operator-(double a, BFloat16 b) {
- return a - static_cast<double>(b);
- }
- inline C10_HOST_DEVICE double operator*(double a, BFloat16 b) {
- return a * static_cast<double>(b);
- }
- inline C10_HOST_DEVICE double operator/(double a, BFloat16 b) {
- return a / static_cast<double>(b);
- }
- /// Arithmetic with ints
- inline C10_HOST_DEVICE BFloat16 operator+(BFloat16 a, int b) {
- return a + static_cast<BFloat16>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator-(BFloat16 a, int b) {
- return a - static_cast<BFloat16>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator*(BFloat16 a, int b) {
- return a * static_cast<BFloat16>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator/(BFloat16 a, int b) {
- return a / static_cast<BFloat16>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator+(int a, BFloat16 b) {
- return static_cast<BFloat16>(a) + b;
- }
- inline C10_HOST_DEVICE BFloat16 operator-(int a, BFloat16 b) {
- return static_cast<BFloat16>(a) - b;
- }
- inline C10_HOST_DEVICE BFloat16 operator*(int a, BFloat16 b) {
- return static_cast<BFloat16>(a) * b;
- }
- inline C10_HOST_DEVICE BFloat16 operator/(int a, BFloat16 b) {
- return static_cast<BFloat16>(a) / b;
- }
- //// Arithmetic with int64_t
- inline C10_HOST_DEVICE BFloat16 operator+(BFloat16 a, int64_t b) {
- return a + static_cast<BFloat16>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator-(BFloat16 a, int64_t b) {
- return a - static_cast<BFloat16>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator*(BFloat16 a, int64_t b) {
- return a * static_cast<BFloat16>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator/(BFloat16 a, int64_t b) {
- return a / static_cast<BFloat16>(b);
- }
- inline C10_HOST_DEVICE BFloat16 operator+(int64_t a, BFloat16 b) {
- return static_cast<BFloat16>(a) + b;
- }
- inline C10_HOST_DEVICE BFloat16 operator-(int64_t a, BFloat16 b) {
- return static_cast<BFloat16>(a) - b;
- }
- inline C10_HOST_DEVICE BFloat16 operator*(int64_t a, BFloat16 b) {
- return static_cast<BFloat16>(a) * b;
- }
- inline C10_HOST_DEVICE BFloat16 operator/(int64_t a, BFloat16 b) {
- return static_cast<BFloat16>(a) / b;
- }
- // Overloading < and > operators, because std::max and std::min use them.
- inline C10_HOST_DEVICE bool operator>(BFloat16& lhs, BFloat16& rhs) {
- return float(lhs) > float(rhs);
- }
- inline C10_HOST_DEVICE bool operator<(BFloat16& lhs, BFloat16& rhs) {
- return float(lhs) < float(rhs);
- }
- } // namespace c10
- namespace std {
- template <>
- class numeric_limits<c10::BFloat16> {
- public:
- static constexpr bool is_signed = true;
- static constexpr bool is_specialized = true;
- static constexpr bool is_integer = false;
- static constexpr bool is_exact = false;
- static constexpr bool has_infinity = true;
- static constexpr bool has_quiet_NaN = true;
- static constexpr bool has_signaling_NaN = true;
- static constexpr auto has_denorm = numeric_limits<float>::has_denorm;
- static constexpr auto has_denorm_loss =
- numeric_limits<float>::has_denorm_loss;
- static constexpr auto round_style = numeric_limits<float>::round_style;
- static constexpr bool is_iec559 = false;
- static constexpr bool is_bounded = true;
- static constexpr bool is_modulo = false;
- static constexpr int digits = 8;
- static constexpr int digits10 = 2;
- static constexpr int max_digits10 = 4;
- static constexpr int radix = 2;
- static constexpr int min_exponent = -125;
- static constexpr int min_exponent10 = -37;
- static constexpr int max_exponent = 128;
- static constexpr int max_exponent10 = 38;
- static constexpr auto traps = numeric_limits<float>::traps;
- static constexpr auto tinyness_before =
- numeric_limits<float>::tinyness_before;
- static constexpr c10::BFloat16 min() {
- return c10::BFloat16(0x0080, c10::BFloat16::from_bits());
- }
- static constexpr c10::BFloat16 lowest() {
- return c10::BFloat16(0xFF7F, c10::BFloat16::from_bits());
- }
- static constexpr c10::BFloat16 max() {
- return c10::BFloat16(0x7F7F, c10::BFloat16::from_bits());
- }
- static constexpr c10::BFloat16 epsilon() {
- return c10::BFloat16(0x3C00, c10::BFloat16::from_bits());
- }
- static constexpr c10::BFloat16 round_error() {
- return c10::BFloat16(0x3F00, c10::BFloat16::from_bits());
- }
- static constexpr c10::BFloat16 infinity() {
- return c10::BFloat16(0x7F80, c10::BFloat16::from_bits());
- }
- static constexpr c10::BFloat16 quiet_NaN() {
- return c10::BFloat16(0x7FC0, c10::BFloat16::from_bits());
- }
- static constexpr c10::BFloat16 signaling_NaN() {
- return c10::BFloat16(0x7F80, c10::BFloat16::from_bits());
- }
- static constexpr c10::BFloat16 denorm_min() {
- return c10::BFloat16(0x0001, c10::BFloat16::from_bits());
- }
- };
- } // namespace std
- C10_CLANG_DIAGNOSTIC_POP()
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