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
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
|
/***************************************************************************************************
* Copyright (c) 2017-2018, 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 TOR (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
*
**************************************************************************************************/
/*! \file
\brief Defines Fragment, a statically-sized array for storing parts of matrices within a
thread's registers.
*/
#pragma once
#include <assert.h>
#include <cutlass/shape.h>
#include <cutlass/util/cutlass_math.h>
#include <cutlass/vector.h>
namespace cutlass {
///////////////////////////////////////////////////////////////////////////////////////////////////
/*!@defgroup fragment_concept Fragment Concept
@{
\ref fragment_concept is a statically sized array for storing parts of tiles held by individual CUDA
threads.
@par \ref fragment_concept
Types satisfying \ref fragment_concept define the following members
- <b>Element</b> - type of each access held within the fragment
- <b>kElements</b> - number of elements stored by the fragment
- <b>clear()</b> - overwrites the fragment storage with zeros
- <b>Element & operator[](int i)</b> - by-reference access of the ith element
- <b>Element const & operator[](int i) const</b> - const by-reference access of the ith element
@}
*/
///////////////////////////////////////////////////////////////////////////////////////////////////
/*!@defgroup fragment_iterator_concept Fragment Iterator Concept
@{
\ref fragment_iterator_concept provides structured access to the elements within a fragment with an
optional bitcast to the desired access type
@par \ref fragment_iterator_concept
Types satisfying \ref fragment_iterator_concept define the following members
- <b>AccessType& operator[](int i)</b> - provides access to the ith element of the fragment
- <b>AccessType& at(int d, int h, int w, int c)</b> - applies \ref layout_concept to fragment and
provides access to element at (d, h, w, c)
@}
*/
////////////////////////////////////////////////////////////////////////////////////////////////////
template <int kAlignment_>
struct StorageType {
typedef uint64_t Type;
};
template <>
struct StorageType<4> {
typedef uint32_t Type;
};
template <>
struct StorageType<2> {
typedef uint16_t Type;
};
template <>
struct StorageType<1> {
typedef uint8_t Type;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
/**
* @brief A template defining \ref fragment_concept
* @concept{fragment_concept}
*/
template <typename Element_, int kElements_, size_t kAlignment_ = 16>
struct Fragment : public AlignedStruct<kAlignment_> {
/// Make sure the alignment makes sense wrt the size of elements.
static_assert(kAlignment_ == 16 || kAlignment_ >= sizeof(Element_), "Alignment is too small");
/// Alignment must be a power of two
static_assert(is_pow2<kAlignment_>::value, "Alignment must be a power of two");
/// This class.
typedef Fragment<Element_, kElements_> This_;
/// The element.
typedef Element_ Element;
/// The number of elements.
static int const kElements = kElements_;
/// Clear a fragment.
CUTLASS_DEVICE void clear() {
// Avoid element-wise access for sub 32b element type
if (kAlignment_ >= 8 && (kElements * sizeof(Element)) % 8 == 0) {
uint64_t* ptr = reinterpret_cast<uint64_t*>(storage);
for (int i = 0; i < (kElements * sizeof(Element)) / 8; ++i) {
ptr[i] = uint64_t(0);
}
} else if (kAlignment_ >= 4 && (kElements * sizeof(Element)) % 4 == 0) {
uint32_t* ptr = reinterpret_cast<uint32_t*>(storage);
for (int i = 0; i < (kElements * sizeof(Element)) / 4; ++i) {
ptr[i] = uint32_t(0);
}
} else if (kAlignment_ >= 2 && (kElements * sizeof(Element)) % 2 == 0) {
uint16_t* ptr = reinterpret_cast<uint16_t*>(storage);
for (int i = 0; i < (kElements * sizeof(Element)) / 2; ++i) {
ptr[i] = uint16_t(0);
}
} else {
for (int i = 0; i < kElements; ++i) {
storage[i] = 0;
}
}
}
/// The accessor.
CUTLASS_DEVICE Element& operator[](int i) {
assert(i < kElements_);
return reinterpret_cast<Element*>(storage)[i];
}
/// The accessor.
CUTLASS_DEVICE Element const& operator[](int i) const {
assert(i < kElements_);
return reinterpret_cast<Element const*>(storage)[i];
}
private:
/// Storage type to use for Elements
typedef typename StorageType<kAlignment_>::Type StorageType;
/// Number of elements in the storage
static int const kStorageCount =
(sizeof(Element_) * kElements_ + sizeof(StorageType) - 1) / sizeof(StorageType);
/// The storage.
StorageType storage[kStorageCount];
/// Ensure that there's enough storage for all elements
static_assert(sizeof(StorageType) <= kAlignment_, "StorageType is too big for given alignment");
};
////////////////////////////////////////////////////////////////////////////////////////////////////
/**
* @brief A template defining \ref fragment_iterator_concept
* @concept{fragment_iterator_concept}
*/
template <typename Fragment_, typename Iterations_, typename AccessType_>
struct FragmentIterator {
/// This class.
typedef FragmentIterator<Fragment_, Iterations_, AccessType_> This_;
/// The fragment.
typedef Fragment_ Fragment;
/// The number of iterations.
typedef Iterations_ Iterations;
/// The access type.
typedef AccessType_ AccessType;
/// The element.
typedef typename Fragment::Element Element;
/// The number of elements per access.
static int const kElementsPerAccess = (int)(sizeof(AccessType) / sizeof(Element));
/// The shape of the the fragment.
typedef typename ShapeMul<Iterations, Shape<1, 1, 1, kElementsPerAccess> >::Shape FragmentShape;
/// The linear strides for iterations.
typedef typename ShapeStrides<FragmentShape, kElementsPerAccess>::Shape Strides;
/// Ctor.
template <typename OtherFragment_>
CUTLASS_DEVICE FragmentIterator(OtherFragment_& fragment, int offset = 0)
: pointer(reinterpret_cast<Element*>(&fragment[offset])) {
static_assert(OtherFragment_::kElements >= Fragment::kElements, "");
}
/// The accessor.
CUTLASS_DEVICE AccessType const& at(int d, int h, int w, int c = 0) const {
int const imm = ComputeOffsetFromStrides<Strides>::get(d, h, w, c);
return reinterpret_cast<AccessType const&>(pointer[imm]);
}
/// The accessor.
CUTLASS_DEVICE AccessType& at(int d, int h, int w, int c = 0) {
int const imm = ComputeOffsetFromStrides<Strides>::get(d, h, w, c);
return reinterpret_cast<AccessType&>(pointer[imm]);
}
/// The accessor.
CUTLASS_DEVICE AccessType const& operator[](int i) const {
return reinterpret_cast<AccessType const&>(pointer[i * kElementsPerAccess]);
}
/// The accessor.
CUTLASS_DEVICE AccessType& operator[](int i) {
return reinterpret_cast<AccessType&>(pointer[i * kElementsPerAccess]);
}
/// Is the iterator valid?
CUTLASS_DEVICE bool valid(int d, int h, int w, int c) const { return true; }
/// The pointer.
Element* pointer;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
template <typename Fragment_, typename Iterations_, typename AccessType_>
struct FragmentConstIterator {
/// This class.
typedef FragmentIterator<Fragment_, Iterations_, AccessType_> This_;
/// The fragment.
typedef Fragment_ Fragment;
/// The number of iterations.
typedef Iterations_ Iterations;
/// The access type.
typedef AccessType_ AccessType;
/// The element.
typedef typename Fragment::Element Element;
/// The number of elements per access.
static int const kElementsPerAccess = (int)(sizeof(AccessType) / sizeof(Element));
/// The shape of the the fragment.
typedef typename ShapeMul<Iterations, Shape<1, 1, 1, kElementsPerAccess> >::Shape FragmentShape;
/// The linear strides for iterations.
typedef typename ShapeStrides<FragmentShape, kElementsPerAccess>::Shape IterationsStrides;
/// Ctor.
template <typename OtherFragment_>
CUTLASS_DEVICE FragmentConstIterator(OtherFragment_& fragment, int offset = 0)
: pointer(reinterpret_cast<Element const*>(&fragment[offset])) {
static_assert(OtherFragment_::kElements >= Fragment::kElements, "");
}
/// Create from non-constant FragmentIterator
CUTLASS_DEVICE FragmentConstIterator(
FragmentIterator<Fragment_, Iterations_, AccessType_> const& rhs_)
: pointer(reinterpret_cast<Element const*>(rhs_.offset)) {}
/// The accessor.
CUTLASS_DEVICE AccessType const& at(int d, int h, int w, int c = 0) const {
int const imm = ComputeOffsetFromStrides<IterationsStrides>::get(d, h, w, c);
return reinterpret_cast<AccessType const&>(pointer[imm]);
}
/// The accessor.
CUTLASS_DEVICE AccessType const& operator[](int i) const {
return reinterpret_cast<AccessType const&>(pointer[i * kElementsPerAccess]);
}
/// Is the iterator valid?
CUTLASS_DEVICE bool valid(int d, int h, int w, int c) const { return true; }
/// The pointer.
Element const* pointer;
};
////////////////////////////////////////////////////////////////////////////////////////////////////
} // namespace cutlass
|