#pragma once
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#include <cstring>
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#include <limits>
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#include <c10/macros/Macros.h>
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#ifdef __CUDACC__
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#include <cuda_fp16.h>
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#endif
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#ifdef __HIPCC__
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#include <hip/hip_fp16.h>
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#endif
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namespace c10 {
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/// Constructors
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inline C10_HOST_DEVICE Half::Half(float value) {
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#if defined(__CUDA_ARCH__) || defined(__HIP_DEVICE_COMPILE__)
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x = __half_as_short(__float2half(value));
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#else
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x = detail::fp16_ieee_from_fp32_value(value);
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#endif
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}
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/// Implicit conversions
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inline C10_HOST_DEVICE Half::operator float() const {
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#if defined(__CUDA_ARCH__) || defined(__HIP_DEVICE_COMPILE__)
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return __half2float(*reinterpret_cast<const __half*>(&x));
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#else
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return detail::fp16_ieee_to_fp32_value(x);
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#endif
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}
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#if defined(__CUDACC__) || defined(__HIPCC__)
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inline C10_HOST_DEVICE Half::Half(const __half& value) {
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x = *reinterpret_cast<const unsigned short*>(&value);
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}
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inline C10_HOST_DEVICE Half::operator __half() const {
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return *reinterpret_cast<const __half*>(&x);
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}
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#endif
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// CUDA intrinsics
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#if defined(__CUDA_ARCH__) && (__CUDA_ARCH__ >= 350)
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inline __device__ Half __ldg(const Half* ptr) {
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return __ldg(reinterpret_cast<const __half*>(ptr));
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}
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#endif
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/// Arithmetic
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inline C10_HOST_DEVICE Half operator+(const Half& a, const Half& b) {
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return static_cast<float>(a) + static_cast<float>(b);
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}
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inline C10_HOST_DEVICE Half operator-(const Half& a, const Half& b) {
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return static_cast<float>(a) - static_cast<float>(b);
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}
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inline C10_HOST_DEVICE Half operator*(const Half& a, const Half& b) {
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return static_cast<float>(a) * static_cast<float>(b);
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}
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inline C10_HOST_DEVICE Half operator/(const Half& a, const Half& b) {
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return static_cast<float>(a) / static_cast<float>(b);
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}
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inline C10_HOST_DEVICE Half operator-(const Half& a) {
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#if (defined(__CUDA_ARCH__) && __CUDA_ARCH__ >= 530) || defined(__HIP_DEVICE_COMPILE__)
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return __hneg(a);
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#else
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return -static_cast<float>(a);
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#endif
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}
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inline C10_HOST_DEVICE Half& operator+=(Half& a, const Half& b) {
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a = a + b;
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return a;
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}
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inline C10_HOST_DEVICE Half& operator-=(Half& a, const Half& b) {
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a = a - b;
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return a;
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}
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inline C10_HOST_DEVICE Half& operator*=(Half& a, const Half& b) {
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a = a * b;
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return a;
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}
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inline C10_HOST_DEVICE Half& operator/=(Half& a, const Half& b) {
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a = a / b;
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return a;
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}
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/// Arithmetic with floats
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inline C10_HOST_DEVICE float operator+(Half a, float b) {
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return static_cast<float>(a) + b;
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}
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inline C10_HOST_DEVICE float operator-(Half a, float b) {
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return static_cast<float>(a) - b;
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}
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inline C10_HOST_DEVICE float operator*(Half a, float b) {
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return static_cast<float>(a) * b;
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}
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inline C10_HOST_DEVICE float operator/(Half a, float b) {
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return static_cast<float>(a) / b;
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}
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inline C10_HOST_DEVICE float operator+(float a, Half b) {
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return a + static_cast<float>(b);
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}
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inline C10_HOST_DEVICE float operator-(float a, Half b) {
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return a - static_cast<float>(b);
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}
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inline C10_HOST_DEVICE float operator*(float a, Half b) {
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return a * static_cast<float>(b);
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}
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inline C10_HOST_DEVICE float operator/(float a, Half b) {
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return a / static_cast<float>(b);
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}
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inline C10_HOST_DEVICE float& operator+=(float& a, const Half& b) {
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return a += static_cast<float>(b);
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}
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inline C10_HOST_DEVICE float& operator-=(float& a, const Half& b) {
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return a -= static_cast<float>(b);
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}
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inline C10_HOST_DEVICE float& operator*=(float& a, const Half& b) {
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return a *= static_cast<float>(b);
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}
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inline C10_HOST_DEVICE float& operator/=(float& a, const Half& b) {
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return a /= static_cast<float>(b);
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}
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/// Arithmetic with doubles
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inline C10_HOST_DEVICE double operator+(Half a, double b) {
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return static_cast<double>(a) + b;
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}
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inline C10_HOST_DEVICE double operator-(Half a, double b) {
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return static_cast<double>(a) - b;
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}
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inline C10_HOST_DEVICE double operator*(Half a, double b) {
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return static_cast<double>(a) * b;
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}
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inline C10_HOST_DEVICE double operator/(Half a, double b) {
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return static_cast<double>(a) / b;
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}
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inline C10_HOST_DEVICE double operator+(double a, Half b) {
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return a + static_cast<double>(b);
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}
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inline C10_HOST_DEVICE double operator-(double a, Half b) {
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return a - static_cast<double>(b);
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}
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inline C10_HOST_DEVICE double operator*(double a, Half b) {
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return a * static_cast<double>(b);
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}
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inline C10_HOST_DEVICE double operator/(double a, Half b) {
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return a / static_cast<double>(b);
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}
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/// Arithmetic with ints
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inline C10_HOST_DEVICE Half operator+(Half a, int b) {
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return a + static_cast<Half>(b);
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}
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inline C10_HOST_DEVICE Half operator-(Half a, int b) {
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return a - static_cast<Half>(b);
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}
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inline C10_HOST_DEVICE Half operator*(Half a, int b) {
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return a * static_cast<Half>(b);
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}
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inline C10_HOST_DEVICE Half operator/(Half a, int b) {
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return a / static_cast<Half>(b);
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}
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inline C10_HOST_DEVICE Half operator+(int a, Half b) {
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return static_cast<Half>(a) + b;
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}
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inline C10_HOST_DEVICE Half operator-(int a, Half b) {
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return static_cast<Half>(a) - b;
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}
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inline C10_HOST_DEVICE Half operator*(int a, Half b) {
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return static_cast<Half>(a) * b;
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}
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inline C10_HOST_DEVICE Half operator/(int a, Half b) {
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return static_cast<Half>(a) / b;
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}
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//// Arithmetic with int64_t
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inline C10_HOST_DEVICE Half operator+(Half a, int64_t b) {
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return a + static_cast<Half>(b);
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}
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inline C10_HOST_DEVICE Half operator-(Half a, int64_t b) {
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return a - static_cast<Half>(b);
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}
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inline C10_HOST_DEVICE Half operator*(Half a, int64_t b) {
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return a * static_cast<Half>(b);
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}
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inline C10_HOST_DEVICE Half operator/(Half a, int64_t b) {
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return a / static_cast<Half>(b);
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}
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inline C10_HOST_DEVICE Half operator+(int64_t a, Half b) {
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return static_cast<Half>(a) + b;
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}
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inline C10_HOST_DEVICE Half operator-(int64_t a, Half b) {
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return static_cast<Half>(a) - b;
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}
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inline C10_HOST_DEVICE Half operator*(int64_t a, Half b) {
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return static_cast<Half>(a) * b;
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}
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inline C10_HOST_DEVICE Half operator/(int64_t a, Half b) {
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return static_cast<Half>(a) / b;
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}
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/// NOTE: we do not define comparisons directly and instead rely on the implicit
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/// conversion from c10::Half to float.
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} // namespace c10
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namespace std {
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template <>
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class numeric_limits<c10::Half> {
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public:
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static constexpr bool is_specialized = true;
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static constexpr bool is_signed = true;
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static constexpr bool is_integer = false;
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static constexpr bool is_exact = false;
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static constexpr bool has_infinity = true;
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static constexpr bool has_quiet_NaN = true;
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static constexpr bool has_signaling_NaN = true;
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static constexpr auto has_denorm = numeric_limits<float>::has_denorm;
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static constexpr auto has_denorm_loss =
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numeric_limits<float>::has_denorm_loss;
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static constexpr auto round_style = numeric_limits<float>::round_style;
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static constexpr bool is_iec559 = true;
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static constexpr bool is_bounded = true;
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static constexpr bool is_modulo = false;
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static constexpr int digits = 11;
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static constexpr int digits10 = 3;
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static constexpr int max_digits10 = 5;
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static constexpr int radix = 2;
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static constexpr int min_exponent = -13;
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static constexpr int min_exponent10 = -4;
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static constexpr int max_exponent = 16;
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static constexpr int max_exponent10 = 4;
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static constexpr auto traps = numeric_limits<float>::traps;
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static constexpr auto tinyness_before =
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numeric_limits<float>::tinyness_before;
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static constexpr c10::Half min() {
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return c10::Half(0x0400, c10::Half::from_bits());
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}
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static constexpr c10::Half lowest() {
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return c10::Half(0xFBFF, c10::Half::from_bits());
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}
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static constexpr c10::Half max() {
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return c10::Half(0x7BFF, c10::Half::from_bits());
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}
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static constexpr c10::Half epsilon() {
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return c10::Half(0x1400, c10::Half::from_bits());
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}
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static constexpr c10::Half round_error() {
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return c10::Half(0x3800, c10::Half::from_bits());
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}
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static constexpr c10::Half infinity() {
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return c10::Half(0x7C00, c10::Half::from_bits());
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}
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static constexpr c10::Half quiet_NaN() {
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return c10::Half(0x7E00, c10::Half::from_bits());
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}
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static constexpr c10::Half signaling_NaN() {
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return c10::Half(0x7D00, c10::Half::from_bits());
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}
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static constexpr c10::Half denorm_min() {
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return c10::Half(0x0001, c10::Half::from_bits());
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}
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};
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} // namespace std
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