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amd_hip_fp16.h
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amd_hip_fp16.h
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/*
Copyright (c) 2015 - 2021 Advanced Micro Devices, Inc. All rights reserved.
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
*/
#pragma once
#ifndef HIP_INCLUDE_HIP_AMD_DETAIL_HIP_FP16_H
#define HIP_INCLUDE_HIP_AMD_DETAIL_HIP_FP16_H
#include <hip/amd_detail/amd_hip_common.h>
#include "hip/amd_detail/host_defines.h"
#if defined(__HIPCC_RTC__)
#define __HOST_DEVICE__ __device__
#else
#define __HOST_DEVICE__ __host__ __device__
#include <assert.h>
#if defined(__cplusplus)
#include <algorithm>
#include <type_traits>
#include <utility>
#endif
#endif // !defined(__HIPCC_RTC__)
#if __HIP_CLANG_ONLY__
typedef _Float16 _Float16_2 __attribute__((ext_vector_type(2)));
struct __half_raw {
union {
static_assert(sizeof(_Float16) == sizeof(unsigned short), "");
_Float16 data;
unsigned short x;
};
};
struct __half2_raw {
union {
static_assert(sizeof(_Float16_2) == sizeof(unsigned short[2]), "");
_Float16_2 data;
struct {
unsigned short x;
unsigned short y;
};
};
};
#if defined(__cplusplus)
#include "hip_fp16_math_fwd.h"
#include "amd_hip_vector_types.h"
#include "host_defines.h"
namespace std
{
template<> struct is_floating_point<_Float16> : std::true_type {};
}
template<bool cond, typename T = void>
using Enable_if_t = typename std::enable_if<cond, T>::type;
// BEGIN STRUCT __HALF
struct __half {
protected:
union {
static_assert(sizeof(_Float16) == sizeof(unsigned short), "");
_Float16 data;
unsigned short __x;
};
public:
// CREATORS
__HOST_DEVICE__
__half() = default;
__HOST_DEVICE__
__half(const __half_raw& x) : data{x.data} {}
#if !defined(__HIP_NO_HALF_CONVERSIONS__)
__HOST_DEVICE__
__half(decltype(data) x) : data{x} {}
template<
typename T,
Enable_if_t<std::is_floating_point<T>{}>* = nullptr>
__HOST_DEVICE__
__half(T x) : data{static_cast<_Float16>(x)} {}
#endif
__HOST_DEVICE__
__half(const __half&) = default;
__HOST_DEVICE__
__half(__half&&) = default;
__HOST_DEVICE__
~__half() = default;
// CREATORS - DEVICE ONLY
#if !defined(__HIP_NO_HALF_CONVERSIONS__)
template<
typename T, Enable_if_t<std::is_integral<T>{}>* = nullptr>
__HOST_DEVICE__
__half(T x) : data{static_cast<_Float16>(x)} {}
#endif
// MANIPULATORS
__HOST_DEVICE__
__half& operator=(const __half&) = default;
__HOST_DEVICE__
__half& operator=(__half&&) = default;
__HOST_DEVICE__
__half& operator=(const __half_raw& x)
{
data = x.data;
return *this;
}
__HOST_DEVICE__
volatile __half& operator=(const __half_raw& x) volatile
{
data = x.data;
return *this;
}
volatile __half& operator=(const volatile __half_raw& x) volatile
{
data = x.data;
return *this;
}
__half& operator=(__half_raw&& x)
{
data = x.data;
return *this;
}
volatile __half& operator=(__half_raw&& x) volatile
{
data = x.data;
return *this;
}
volatile __half& operator=(volatile __half_raw&& x) volatile
{
data = x.data;
return *this;
}
#if !defined(__HIP_NO_HALF_CONVERSIONS__)
template<
typename T,
Enable_if_t<std::is_floating_point<T>{}>* = nullptr>
__HOST_DEVICE__
__half& operator=(T x)
{
data = static_cast<_Float16>(x);
return *this;
}
#endif
// MANIPULATORS - DEVICE ONLY
#if !defined(__HIP_NO_HALF_CONVERSIONS__)
template<
typename T, Enable_if_t<std::is_integral<T>{}>* = nullptr>
__device__
__half& operator=(T x)
{
data = static_cast<_Float16>(x);
return *this;
}
#endif
#if !defined(__HIP_NO_HALF_OPERATORS__)
__device__
__half& operator+=(const __half& x)
{
data += x.data;
return *this;
}
__device__
__half& operator-=(const __half& x)
{
data -= x.data;
return *this;
}
__device__
__half& operator*=(const __half& x)
{
data *= x.data;
return *this;
}
__device__
__half& operator/=(const __half& x)
{
data /= x.data;
return *this;
}
__device__
__half& operator++() { ++data; return *this; }
__device__
__half operator++(int)
{
__half tmp{*this};
++*this;
return tmp;
}
__device__
__half& operator--() { --data; return *this; }
__device__
__half operator--(int)
{
__half tmp{*this};
--*this;
return tmp;
}
#endif
// ACCESSORS
#if !defined(__HIP_NO_HALF_CONVERSIONS__)
template<
typename T,
Enable_if_t<std::is_floating_point<T>{}>* = nullptr>
__HOST_DEVICE__
operator T() const { return data; }
#endif
__HOST_DEVICE__
operator __half_raw() const { return __half_raw{data}; }
__HOST_DEVICE__
operator __half_raw() const volatile
{
return __half_raw{data};
}
#if !defined(__HIP_NO_HALF_CONVERSIONS__)
template<
typename T, Enable_if_t<std::is_integral<T>{}>* = nullptr>
__HOST_DEVICE__
operator T() const { return data; }
#endif
#if !defined(__HIP_NO_HALF_OPERATORS__)
__device__
__half operator+() const { return *this; }
__device__
__half operator-() const
{
__half tmp{*this};
tmp.data = -tmp.data;
return tmp;
}
#endif
// FRIENDS
#if !defined(__HIP_NO_HALF_OPERATORS__)
friend
inline
__device__
__half operator+(const __half& x, const __half& y)
{
return __half{x} += y;
}
friend
inline
__device__
__half operator-(const __half& x, const __half& y)
{
return __half{x} -= y;
}
friend
inline
__device__
__half operator*(const __half& x, const __half& y)
{
return __half{x} *= y;
}
friend
inline
__device__
__half operator/(const __half& x, const __half& y)
{
return __half{x} /= y;
}
friend
inline
__device__
bool operator==(const __half& x, const __half& y)
{
return x.data == y.data;
}
friend
inline
__device__
bool operator!=(const __half& x, const __half& y)
{
return !(x == y);
}
friend
inline
__device__
bool operator<(const __half& x, const __half& y)
{
return x.data < y.data;
}
friend
inline
__device__
bool operator>(const __half& x, const __half& y)
{
return y.data < x.data;
}
friend
inline
__device__
bool operator<=(const __half& x, const __half& y)
{
return !(y < x);
}
friend
inline
__device__
bool operator>=(const __half& x, const __half& y)
{
return !(x < y);
}
#endif // !defined(__HIP_NO_HALF_OPERATORS__)
};
// END STRUCT __HALF
// BEGIN STRUCT __HALF2
struct __half2 {
public:
union {
static_assert(
sizeof(_Float16_2) == sizeof(unsigned short[2]), "");
_Float16_2 data;
struct {
unsigned short x;
unsigned short y;
};
};
// CREATORS
__HOST_DEVICE__
__half2() = default;
__HOST_DEVICE__
__half2(const __half2_raw& x) : data{x.data} {}
__HOST_DEVICE__
__half2(decltype(data) x) : data{x} {}
__HOST_DEVICE__
__half2(const __half& x, const __half& y)
:
data{
static_cast<__half_raw>(x).data,
static_cast<__half_raw>(y).data}
{}
__HOST_DEVICE__
__half2(const __half2&) = default;
__HOST_DEVICE__
__half2(__half2&&) = default;
__HOST_DEVICE__
~__half2() = default;
// MANIPULATORS
__HOST_DEVICE__
__half2& operator=(const __half2&) = default;
__HOST_DEVICE__
__half2& operator=(__half2&&) = default;
__HOST_DEVICE__
__half2& operator=(const __half2_raw& x)
{
data = x.data;
return *this;
}
// MANIPULATORS - DEVICE ONLY
#if !defined(__HIP_NO_HALF_OPERATORS__)
__device__
__half2& operator+=(const __half2& x)
{
data += x.data;
return *this;
}
__device__
__half2& operator-=(const __half2& x)
{
data -= x.data;
return *this;
}
__device__
__half2& operator*=(const __half2& x)
{
data *= x.data;
return *this;
}
__device__
__half2& operator/=(const __half2& x)
{
data /= x.data;
return *this;
}
__device__
__half2& operator++() { return *this += _Float16_2{1, 1}; }
__device__
__half2 operator++(int)
{
__half2 tmp{*this};
++*this;
return tmp;
}
__device__
__half2& operator--() { return *this -= _Float16_2{1, 1}; }
__device__
__half2 operator--(int)
{
__half2 tmp{*this};
--*this;
return tmp;
}
#endif
// ACCESSORS
__HOST_DEVICE__
operator decltype(data)() const { return data; }
__HOST_DEVICE__
operator __half2_raw() const { return __half2_raw{data}; }
// ACCESSORS - DEVICE ONLY
#if !defined(__HIP_NO_HALF_OPERATORS__)
__device__
__half2 operator+() const { return *this; }
__device__
__half2 operator-() const
{
__half2 tmp{*this};
tmp.data = -tmp.data;
return tmp;
}
#endif
// FRIENDS
#if !defined(__HIP_NO_HALF_OPERATORS__)
friend
inline
__device__
__half2 operator+(const __half2& x, const __half2& y)
{
return __half2{x} += y;
}
friend
inline
__device__
__half2 operator-(const __half2& x, const __half2& y)
{
return __half2{x} -= y;
}
friend
inline
__device__
__half2 operator*(const __half2& x, const __half2& y)
{
return __half2{x} *= y;
}
friend
inline
__device__
__half2 operator/(const __half2& x, const __half2& y)
{
return __half2{x} /= y;
}
friend
inline
__device__
bool operator==(const __half2& x, const __half2& y)
{
auto r = x.data == y.data;
return r.x != 0 && r.y != 0;
}
friend
inline
__device__
bool operator!=(const __half2& x, const __half2& y)
{
return !(x == y);
}
friend
inline
__device__
bool operator<(const __half2& x, const __half2& y)
{
auto r = x.data < y.data;
return r.x != 0 && r.y != 0;
}
friend
inline
__device__
bool operator>(const __half2& x, const __half2& y)
{
return y < x;
}
friend
inline
__device__
bool operator<=(const __half2& x, const __half2& y)
{
return !(y < x);
}
friend
inline
__device__
bool operator>=(const __half2& x, const __half2& y)
{
return !(x < y);
}
#endif // !defined(__HIP_NO_HALF_OPERATORS__)
};
// END STRUCT __HALF2
namespace
{
inline
__HOST_DEVICE__
__half2 make_half2(__half x, __half y)
{
return __half2{x, y};
}
inline
__HOST_DEVICE__
__half __low2half(__half2 x)
{
return __half{__half_raw{static_cast<__half2_raw>(x).data.x}};
}
inline
__HOST_DEVICE__
__half __high2half(__half2 x)
{
return __half{__half_raw{static_cast<__half2_raw>(x).data.y}};
}
inline
__HOST_DEVICE__
__half2 __half2half2(__half x)
{
return __half2{x, x};
}
inline
__HOST_DEVICE__
__half2 __halves2half2(__half x, __half y)
{
return __half2{x, y};
}
inline
__HOST_DEVICE__
__half2 __low2half2(__half2 x)
{
return __half2{
_Float16_2{
static_cast<__half2_raw>(x).data.x,
static_cast<__half2_raw>(x).data.x}};
}
inline
__HOST_DEVICE__
__half2 __high2half2(__half2 x)
{
return __half2_raw{
_Float16_2{
static_cast<__half2_raw>(x).data.y,
static_cast<__half2_raw>(x).data.y}};
}
inline
__HOST_DEVICE__
__half2 __lows2half2(__half2 x, __half2 y)
{
return __half2_raw{
_Float16_2{
static_cast<__half2_raw>(x).data.x,
static_cast<__half2_raw>(y).data.x}};
}
inline
__HOST_DEVICE__
__half2 __highs2half2(__half2 x, __half2 y)
{
return __half2_raw{
_Float16_2{
static_cast<__half2_raw>(x).data.y,
static_cast<__half2_raw>(y).data.y}};
}
inline
__HOST_DEVICE__
__half2 __lowhigh2highlow(__half2 x)
{
return __half2_raw{
_Float16_2{
static_cast<__half2_raw>(x).data.y,
static_cast<__half2_raw>(x).data.x}};
}
// Bitcasts
inline
__device__
short __half_as_short(__half x)
{
return static_cast<__half_raw>(x).x;
}
inline
__device__
unsigned short __half_as_ushort(__half x)
{
return static_cast<__half_raw>(x).x;
}
inline
__device__
__half __short_as_half(short x)
{
__half_raw r; r.x = x;
return r;
}
inline
__device__
__half __ushort_as_half(unsigned short x)
{
__half_raw r; r.x = x;
return r;
}
// TODO: rounding behaviour is not correct.
// float -> half | half2
inline
__HOST_DEVICE__
__half __float2half(float x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__HOST_DEVICE__
__half __float2half_rn(float x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__HOST_DEVICE__
__half __float2half_rz(float x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__HOST_DEVICE__
__half __float2half_rd(float x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__HOST_DEVICE__
__half __float2half_ru(float x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__HOST_DEVICE__
__half2 __float2half2_rn(float x)
{
return __half2_raw{
_Float16_2{
static_cast<_Float16>(x), static_cast<_Float16>(x)}};
}
inline
__HOST_DEVICE__
__half2 __floats2half2_rn(float x, float y)
{
return __half2_raw{_Float16_2{
static_cast<_Float16>(x), static_cast<_Float16>(y)}};
}
inline
__HOST_DEVICE__
__half2 __float22half2_rn(float2 x)
{
return __floats2half2_rn(x.x, x.y);
}
// half | half2 -> float
inline
__HOST_DEVICE__
float __half2float(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__HOST_DEVICE__
float __low2float(__half2 x)
{
return static_cast<__half2_raw>(x).data.x;
}
inline
__HOST_DEVICE__
float __high2float(__half2 x)
{
return static_cast<__half2_raw>(x).data.y;
}
inline
__HOST_DEVICE__
float2 __half22float2(__half2 x)
{
return make_float2(
static_cast<__half2_raw>(x).data.x,
static_cast<__half2_raw>(x).data.y);
}
// half -> int
inline
__device__
int __half2int_rn(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
int __half2int_rz(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
int __half2int_rd(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
int __half2int_ru(__half x)
{
return static_cast<__half_raw>(x).data;
}
// int -> half
inline
__device__
__half __int2half_rn(int x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __int2half_rz(int x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __int2half_rd(int x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __int2half_ru(int x)
{
return __half_raw{static_cast<_Float16>(x)};
}
// half -> short
inline
__device__
short __half2short_rn(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
short __half2short_rz(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
short __half2short_rd(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
short __half2short_ru(__half x)
{
return static_cast<__half_raw>(x).data;
}
// short -> half
inline
__device__
__half __short2half_rn(short x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __short2half_rz(short x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __short2half_rd(short x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __short2half_ru(short x)
{
return __half_raw{static_cast<_Float16>(x)};
}
// half -> long long
inline
__device__
long long __half2ll_rn(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
long long __half2ll_rz(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
long long __half2ll_rd(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
long long __half2ll_ru(__half x)
{
return static_cast<__half_raw>(x).data;
}
// long long -> half
inline
__device__
__half __ll2half_rn(long long x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __ll2half_rz(long long x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __ll2half_rd(long long x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __ll2half_ru(long long x)
{
return __half_raw{static_cast<_Float16>(x)};
}
// half -> unsigned int
inline
__device__
unsigned int __half2uint_rn(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
unsigned int __half2uint_rz(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
unsigned int __half2uint_rd(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
unsigned int __half2uint_ru(__half x)
{
return static_cast<__half_raw>(x).data;
}
// unsigned int -> half
inline
__device__
__half __uint2half_rn(unsigned int x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __uint2half_rz(unsigned int x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __uint2half_rd(unsigned int x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __uint2half_ru(unsigned int x)
{
return __half_raw{static_cast<_Float16>(x)};
}
// half -> unsigned short
inline
__device__
unsigned short __half2ushort_rn(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
unsigned short __half2ushort_rz(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
unsigned short __half2ushort_rd(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
unsigned short __half2ushort_ru(__half x)
{
return static_cast<__half_raw>(x).data;
}
// unsigned short -> half
inline
__device__
__half __ushort2half_rn(unsigned short x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __ushort2half_rz(unsigned short x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __ushort2half_rd(unsigned short x)
{
return __half_raw{static_cast<_Float16>(x)};
}
inline
__device__
__half __ushort2half_ru(unsigned short x)
{
return __half_raw{static_cast<_Float16>(x)};
}
// half -> unsigned long long
inline
__device__
unsigned long long __half2ull_rn(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
unsigned long long __half2ull_rz(__half x)
{
return static_cast<__half_raw>(x).data;
}
inline
__device__
unsigned long long __half2ull_rd(__half x)