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      1 /* Copyright 2017 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 // Utility functions related to layouts of Shapes.
     17 
     18 #ifndef TENSORFLOW_COMPILER_XLA_INDEX_UTIL_H_
     19 #define TENSORFLOW_COMPILER_XLA_INDEX_UTIL_H_
     20 
     21 #include <vector>
     22 
     23 #include "tensorflow/compiler/xla/types.h"
     24 #include "tensorflow/compiler/xla/xla_data.pb.h"
     25 #include "tensorflow/core/lib/gtl/array_slice.h"
     26 #include "tensorflow/core/platform/macros.h"
     27 
     28 namespace xla {
     29 
     30 // Namespaced collection of (static) utilities related to indexing into
     31 // multidimensional arrays.
     32 class IndexUtil {
     33  public:
     34   // Converts a multidimensional index (eg {x, y, z}) into a linear index based
     35   // on the shape and its layout. The first index in the multi_index is
     36   // dimension 0.
     37   static int64 MultidimensionalIndexToLinearIndex(
     38       const Shape& shape, tensorflow::gtl::ArraySlice<int64> multi_index);
     39 
     40   // Converts a linear index into multidimensional index (eg {x, y, z}) based on
     41   // the shape and its layout. The first index in the returned multidimensional
     42   // index is dimension 0.
     43   static std::vector<int64> LinearIndexToMultidimensionalIndex(
     44       const Shape& shape, int64 linear_index);
     45 
     46   // Bumps a sequence of indices; e.g. {0,0,0,0} up by one index value; e.g. to
     47   // {0,0,0,1}. This is akin to std::next_permutation. If the index hits a limit
     48   // for the provided shape, the next most significant index is bumped, in a
     49   // counting-up process.
     50   //
     51   // E.g. for shape f32[2,3]
     52   //  {0,0}=>{0,1}
     53   //  {0,1}=>{0,2}
     54   //  {0,2}=>{1,0}
     55   //  etc.
     56   //
     57   // This is useful for traversing the indices in a literal.
     58   //
     59   // Returns true iff the indices were successfully bumped; false if we've hit
     60   // the limit where it can no longer be bumped in-bounds.
     61   static bool BumpIndices(const Shape& shape,
     62                           tensorflow::gtl::MutableArraySlice<int64> indices);
     63 
     64   // Calculates the stride size (in number of elements, not byte size) of a
     65   // given logical shape dimension (from 0 to rank-1). If available, padded
     66   // dimensions are used.
     67   // Example:
     68   //  GetDimensionStride(F32[5,8,10,4]{3,2,1,0}, 1) ==
     69   //    sizeof(dimension(3)) * sizeof(dimension(2)) == 4 * 10
     70   static int64 GetDimensionStride(const Shape& shape, int64 dimension);
     71 
     72   // Returns true iff the given multi-index is contained in the bounds for the
     73   // shape.
     74   static bool IndexInBounds(const Shape& shape,
     75                             tensorflow::gtl::ArraySlice<int64> index);
     76 
     77   // Compares the given indices in lexicographic order.  lhs[0] and rhs[0] are
     78   // compared first, and lhs[rank-1] and rhs[rank-1] last.  If lhs is larger,
     79   // then -1 is returned. If rhs is larger, then 1 is returned.  Otherwise, 0 is
     80   // returned.
     81   static int CompareIndices(tensorflow::gtl::ArraySlice<int64> lhs,
     82                             tensorflow::gtl::ArraySlice<int64> rhs);
     83 
     84  private:
     85   TF_DISALLOW_COPY_AND_ASSIGN(IndexUtil);
     86 };
     87 
     88 }  // namespace xla
     89 
     90 #endif  // TENSORFLOW_COMPILER_XLA_INDEX_UTIL_H_
     91