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1 /* Copyright 2015 The TensorFlow Authors. All Rights Reserved.
2 
3 Licensed under the Apache License, Version 2.0 (the "License");
4 you may not use this file except in compliance with the License.
5 You may obtain a copy of the License at
6 
7     http://www.apache.org/licenses/LICENSE-2.0
8 
9 Unless required by applicable law or agreed to in writing, software
10 distributed under the License is distributed on an "AS IS" BASIS,
11 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
12 See the License for the specific language governing permissions and
13 limitations under the License.
14 ==============================================================================*/
15 
16 #ifndef TENSORFLOW_CORE_KERNELS_TRANSPOSE_FUNCTOR_H_
17 #define TENSORFLOW_CORE_KERNELS_TRANSPOSE_FUNCTOR_H_
18 
19 #include <numeric>
20 #include <string>
21 #include <vector>
22 #include "tensorflow/core/framework/tensor.h"
23 #include "tensorflow/core/framework/tensor_types.h"
24 #include "tensorflow/core/platform/logging.h"
25 
26 namespace tensorflow {
27 // Transpose tensor 'in' into tensor 'out' according to dimension
28 // permutation 'perm'.
29 //
30 // REQUIRES: in.dtype() == out->dtype()
31 // REQUIRES: in.dims() == out->dims()
32 // REQUIRES: in.dims() == perm.size()
33 // REQUIRES: in.dim_size(perm[i]) == out->dim_size(i)
34 template <typename Device>
35 Status DoTranspose(const Device& device, const Tensor& in,
36                    const gtl::ArraySlice<int32> perm, Tensor* out);
37 
38 // Conjugate and transpose tensor 'in' into tensor 'out' according to dimension
39 // permutation 'perm'.
40 //
41 // REQUIRES: in.dtype() == out->dtype()
42 // REQUIRES: in.dims() == out->dims()
43 // REQUIRES: in.dims() == perm.size()
44 // REQUIRES: in.dim_size(perm[i]) == out->dim_size(i)
45 template <typename Device>
46 Status DoConjugateTranspose(const Device& device, const Tensor& in,
47                             const gtl::ArraySlice<int32> perm, Tensor* out);
48 
49 // Convenience versions of DoTranspose that only swap the last (inner) two
50 // dimensions.
51 template <typename Device>
52 Status DoMatrixTranspose(const Device& device, const Tensor& in, Tensor* out);
53 
54 // Convenience versions of DoConjugateTranspose that only swap the last (inner)
55 // two dimensions.
56 template <typename Device>
57 Status DoConjugateMatrixTranspose(const Device& device, const Tensor& in,
58                                   Tensor* out);
59 
60 // Primary device specific functor to be specialized for each device and type.
61 template <typename Device, typename T, bool conjugate = false>
62 struct Transpose {
63   static void run(const Device& d, const Tensor& in,
64                   const gtl::ArraySlice<int32> perm, Tensor* out);
65 };
66 
67 // Implementation details.
68 namespace internal {
69 
70 typedef gtl::InlinedVector<int64, 8> TransposeDimsVec;
71 typedef gtl::InlinedVector<int32, 8> TransposePermsVec;
72 
73 // Helper function that takes a tensor shape, a permutation, combines the
74 // neighboring shapes if their indices in the permutation are consecutive.
75 // The function outputs the combined shape and new permutation.
76 // Example: Tensor shape {2, 3, 4, 5, 120} and permutation {0, 4, 1, 2, 3} will
77 // produce new shape {2, 60, 120} and new permutation {0, 2, 1}.
ReduceTransposeDimensions(const TensorShape & shape,gtl::ArraySlice<int32> perm,TransposePermsVec * new_perm,TransposeDimsVec * new_dims)78 inline void ReduceTransposeDimensions(const TensorShape& shape,
79                                       gtl::ArraySlice<int32> perm,
80                                       TransposePermsVec* new_perm,
81                                       TransposeDimsVec* new_dims) {
82   CHECK_EQ(shape.dims(), perm.size());
83   if (shape.dims() == 1) {
84     // If input dimension is already 1, no need to reduce dimension.
85     new_perm->resize(1);
86     (*new_perm)[0] = perm[0];
87     (*new_dims)[0] = shape.dim_size(0);
88     return;
89   }
90   TransposePermsVec new_dim_position(shape.dims(), -1);
91   TransposeDimsVec combined_dims(shape.dims(), 0);
92   int cur_head = perm[0];
93   new_dim_position[cur_head] = 0;
94   combined_dims[0] = shape.dim_size(cur_head);
95   int dim_idx = 0;
96   for (int perm_idx = 1; perm_idx < shape.dims(); ++perm_idx) {
97     // If two indices in permutation are consecutive numbers, combine their
98     // dimensions.
99     if (cur_head + 1 == perm[perm_idx]) {
100       cur_head = perm[perm_idx];
101       combined_dims[dim_idx] *= shape.dim_size(cur_head);
102     } else {
103       // Else start a new dimension.
104       cur_head = perm[perm_idx];
105       dim_idx++;
106       new_dim_position[cur_head] = dim_idx;
107       combined_dims[dim_idx] = shape.dim_size(cur_head);
108     }
109   }
110   // Compact the new permutations and dimension sizes.
111   new_perm->resize(dim_idx + 1);
112   new_dims->resize(dim_idx + 1);
113   dim_idx = 0;
114   for (int i = 0; i < new_dim_position.size(); ++i) {
115     if (new_dim_position[i] >= 0) {
116       int new_perm_idx = new_dim_position[i];
117       (*new_perm)[dim_idx] = new_perm_idx;
118       (*new_dims)[dim_idx] = combined_dims[new_perm_idx];
119       dim_idx++;
120     }
121   }
122 }
123 
124 // If all non-singleton dimensions remain in ascending order, the shuffled
125 // singletons can be transposed by a reshape, saving a memory allocation & copy.
126 // |permutation| must be a permutation of {0, .., input_shape.dims() - 1}.
127 // That is, for all i, 0 <= perm[i] < input_shape.dims().
128 // In practice, this is checked in TransposeOp::Compute prior to calling this
129 // function, and the function sits here to facilitate unit testing.
NonSingletonDimensionsAlign(const TensorShape & input_shape,const std::vector<int32> & permutation)130 inline bool NonSingletonDimensionsAlign(const TensorShape& input_shape,
131                                         const std::vector<int32>& permutation) {
132   int last_nonsingleton_perm_dim = -1;
133   for (int perm_dim : permutation) {
134     if (input_shape.dim_size(perm_dim) == 1) {
135       continue;
136     }
137     if (perm_dim < last_nonsingleton_perm_dim) {
138       return false;
139     }
140     last_nonsingleton_perm_dim = perm_dim;
141   }
142   return true;
143 }
144 
145 // Uses Eigen to transpose.
146 template <typename Device, typename T, int NDIMS>
TransposeUsingEigen(const Device & d,const Tensor & in,const gtl::ArraySlice<int32> perm,bool conjugate,Tensor * out)147 void TransposeUsingEigen(const Device& d, const Tensor& in,
148                          const gtl::ArraySlice<int32> perm, bool conjugate,
149                          Tensor* out) {
150   Eigen::array<int, NDIMS> p;
151   for (int i = 0; i < NDIMS; ++i) p[i] = perm[i];
152   auto x = typename TTypes<T, NDIMS>::ConstTensor(
153       reinterpret_cast<const T*>(in.tensor_data().data()),
154       in.shape().AsEigenDSizes<NDIMS>());
155   auto y = typename TTypes<T, NDIMS>::Tensor(
156       reinterpret_cast<T*>(const_cast<char*>(out->tensor_data().data())),
157       out->shape().AsEigenDSizes<NDIMS>());
158   if (conjugate) {
159     y.device(d) = x.conjugate().shuffle(p);
160   } else {
161     y.device(d) = x.shuffle(p);
162   }
163 }
164 
165 template <typename Device>
DoTransposeImpl(const Device & d,const Tensor & in,const gtl::ArraySlice<int32> perm,bool conjugate,Tensor * out)166 Status DoTransposeImpl(const Device& d, const Tensor& in,
167                        const gtl::ArraySlice<int32> perm, bool conjugate,
168                        Tensor* out) {
169   CHECK_GE(in.dims(), 2);
170   CHECK_EQ(in.dims(), out->dims());
171   CHECK_EQ(in.dims(), perm.size());
172   CHECK_EQ(in.dtype(), out->dtype());
173   switch (in.dtype()) {
174     case DT_BOOL:
175     case DT_INT8:
176     case DT_QINT8:
177     case DT_QUINT8:
178     case DT_UINT8:
179       Transpose<Device, uint8>::run(d, in, perm, out);
180       break;
181 
182     case DT_BFLOAT16:
183     case DT_HALF:
184     case DT_INT16:
185     case DT_QINT16:
186     case DT_QUINT16:
187     case DT_UINT16:
188       Transpose<Device, uint16>::run(d, in, perm, out);
189       break;
190 
191     case DT_FLOAT:
192     case DT_INT32:
193     case DT_QINT32:
194     case DT_UINT32:
195       Transpose<Device, uint32>::run(d, in, perm, out);
196       break;
197 
198     case DT_DOUBLE:
199     case DT_INT64:
200     case DT_UINT64:
201       Transpose<Device, uint64>::run(d, in, perm, out);
202       break;
203 
204     case DT_COMPLEX64:
205       if (conjugate) {
206 #if defined(__ANDROID__) and !defined(__clang__)
207         // Workaround for GCC compiler bug in Android toolchain.
208         return errors::Unimplemented(
209             "Conjugate transpose of complex64 not supported for GCC on "
210             "Android.");
211 #else
212         Transpose<Device, complex64, /*conjugate=*/true>::run(d, in, perm, out);
213 #endif
214       } else {
215         Transpose<Device, uint64>::run(d, in, perm, out);
216       }
217       break;
218 
219     case DT_COMPLEX128:
220       if (conjugate) {
221         Transpose<Device, complex128, /*conjugate=*/true>::run(d, in, perm,
222                                                                out);
223       } else {
224         Transpose<Device, complex128, /*conjugate=*/false>::run(d, in, perm,
225                                                                 out);
226       }
227       break;
228 
229     case DT_STRING:
230       Transpose<Device, tstring>::run(d, in, perm, out);
231       break;
232 
233     default:
234       return errors::Unimplemented("Unsupported dtype on CPU: ", in.dtype());
235   }
236   return Status::OK();
237 }
238 
239 template <typename Device>
DoMatrixTransposeImpl(const Device & device,const Tensor & in,bool conjugate,Tensor * out)240 inline Status DoMatrixTransposeImpl(const Device& device, const Tensor& in,
241                                     bool conjugate, Tensor* out) {
242   const int ndims = in.dims();
243   if (ndims == 0) return Status::OK();
244   TransposePermsVec perm(ndims);
245   std::iota(perm.begin(), perm.end(), 0);
246   std::swap(perm[ndims - 2], perm[ndims - 1]);
247   return DoTransposeImpl(device, in, perm, conjugate, out);
248 }
249 
250 
251 }  // namespace internal
252 }  // namespace tensorflow
253 
254 #endif  // TENSORFLOW_CORE_KERNELS_TRANSPOSE_FUNCTOR_H_
255