1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256
|
/******************************************************************************
* Copyright (c) 2021, NVIDIA CORPORATION. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions are met:
* * Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* * Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* * Neither the name of the NVIDIA CORPORATION nor the
* names of its contributors may be used to endorse or promote products
* derived from this software without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
* WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
* DISCLAIMED. IN NO EVENT SHALL NVIDIA CORPORATION BE LIABLE FOR ANY
* DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
* (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
* ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
* SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
******************************************************************************/
#pragma once
/**
* \file
* Utilities for interacting with the opaque CUDA __nv_bfloat16 type
*/
#include <cuda_bf16.h>
#include <cub/util_type.cuh>
#include <cuda/std/type_traits>
#include <cstdint>
#include <iosfwd>
#ifdef __GNUC__
// There's a ton of type-punning going on in this file.
# pragma GCC diagnostic push
# pragma GCC diagnostic ignored "-Wstrict-aliasing"
#endif
/******************************************************************************
* bfloat16_t
******************************************************************************/
/**
* Host-based fp16 data type compatible and convertible with __nv_bfloat16
*/
struct bfloat16_t
{
uint16_t __x;
/// Constructor from __nv_bfloat16
__host__ __device__ __forceinline__ explicit bfloat16_t(const __nv_bfloat16& other)
{
__x = reinterpret_cast<const uint16_t&>(other);
}
/// Constructor from integer
__host__ __device__ __forceinline__ explicit bfloat16_t(int a)
{
*this = bfloat16_t(float(a));
}
/// Constructor from std::size_t
__host__ __device__ __forceinline__ explicit bfloat16_t(std::size_t a)
{
*this = bfloat16_t(float(a));
}
/// Constructor from double
__host__ __device__ __forceinline__ explicit bfloat16_t(double a)
{
*this = bfloat16_t(float(a));
}
/// Constructor from unsigned long long int
template <typename T,
typename = typename ::cuda::std::enable_if<
::cuda::std::is_same<T, unsigned long long int>::value
&& (!::cuda::std::is_same<std::size_t, unsigned long long int>::value)>::type>
__host__ __device__ __forceinline__ explicit bfloat16_t(T a)
{
*this = bfloat16_t(float(a));
}
/// Default constructor
bfloat16_t() = default;
/// Constructor from float
__host__ __device__ __forceinline__ explicit bfloat16_t(float a)
{
// Refrence:
// https://github.com/pytorch/pytorch/blob/44cc873fba5e5ffc4d4d4eef3bd370b653ce1ce1/c10/util/BFloat16.h#L51
uint16_t ir;
if (a != a)
{
ir = UINT16_C(0x7FFF);
}
else
{
union
{
uint32_t U32;
float F32;
};
F32 = a;
uint32_t rounding_bias = ((U32 >> 16) & 1) + UINT32_C(0x7FFF);
ir = static_cast<uint16_t>((U32 + rounding_bias) >> 16);
}
this->__x = ir;
}
/// Cast to __nv_bfloat16
__host__ __device__ __forceinline__ operator __nv_bfloat16() const
{
return reinterpret_cast<const __nv_bfloat16&>(__x);
}
/// Cast to float
__host__ __device__ __forceinline__ operator float() const
{
float f = 0;
uint32_t* p = reinterpret_cast<uint32_t*>(&f);
*p = uint32_t(__x) << 16;
return f;
}
/// Get raw storage
__host__ __device__ __forceinline__ uint16_t raw() const
{
return this->__x;
}
/// Equality
__host__ __device__ __forceinline__ friend bool operator==(const bfloat16_t& a, const bfloat16_t& b)
{
return (a.__x == b.__x);
}
/// Inequality
__host__ __device__ __forceinline__ friend bool operator!=(const bfloat16_t& a, const bfloat16_t& b)
{
return (a.__x != b.__x);
}
/// Assignment by sum
__host__ __device__ __forceinline__ bfloat16_t& operator+=(const bfloat16_t& rhs)
{
*this = bfloat16_t(float(*this) + float(rhs));
return *this;
}
/// Multiply
__host__ __device__ __forceinline__ bfloat16_t operator*(const bfloat16_t& other)
{
return bfloat16_t(float(*this) * float(other));
}
/// Add
__host__ __device__ __forceinline__ bfloat16_t operator+(const bfloat16_t& other)
{
return bfloat16_t(float(*this) + float(other));
}
/// Less-than
__host__ __device__ __forceinline__ bool operator<(const bfloat16_t& other) const
{
return float(*this) < float(other);
}
/// Less-than-equal
__host__ __device__ __forceinline__ bool operator<=(const bfloat16_t& other) const
{
return float(*this) <= float(other);
}
/// Greater-than
__host__ __device__ __forceinline__ bool operator>(const bfloat16_t& other) const
{
return float(*this) > float(other);
}
/// Greater-than-equal
__host__ __device__ __forceinline__ bool operator>=(const bfloat16_t& other) const
{
return float(*this) >= float(other);
}
/// numeric_traits<bfloat16_t>::max
__host__ __device__ __forceinline__ static bfloat16_t(max)()
{
uint16_t max_word = 0x7F7F;
return reinterpret_cast<bfloat16_t&>(max_word);
}
/// numeric_traits<bfloat16_t>::lowest
__host__ __device__ __forceinline__ static bfloat16_t lowest()
{
uint16_t lowest_word = 0xFF7F;
return reinterpret_cast<bfloat16_t&>(lowest_word);
}
};
/******************************************************************************
* I/O stream overloads
******************************************************************************/
/// Insert formatted \p bfloat16_t into the output stream
inline std::ostream& operator<<(std::ostream& out, const bfloat16_t& x)
{
out << (float) x;
return out;
}
/// Insert formatted \p __nv_bfloat16 into the output stream
inline std::ostream& operator<<(std::ostream& out, const __nv_bfloat16& x)
{
return out << bfloat16_t(x);
}
/******************************************************************************
* Traits overloads
******************************************************************************/
template <>
struct CUB_NS_QUALIFIER::FpLimits<bfloat16_t>
{
static __host__ __device__ __forceinline__ bfloat16_t Max()
{
return bfloat16_t::max();
}
static __host__ __device__ __forceinline__ bfloat16_t Lowest()
{
return bfloat16_t::lowest();
}
};
template <>
struct CUB_NS_QUALIFIER::NumericTraits<bfloat16_t>
: CUB_NS_QUALIFIER::BaseTraits<FLOATING_POINT, true, false, unsigned short, bfloat16_t>
{};
#ifdef __GNUC__
# pragma GCC diagnostic pop
#endif
|