|  | // Ceres Solver - A fast non-linear least squares minimizer | 
|  | // Copyright 2018 Google Inc. All rights reserved. | 
|  | // http://ceres-solver.org/ | 
|  | // | 
|  | // 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 Google Inc. 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 | 
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|  | // 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 | 
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|  | // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | 
|  | // POSSIBILITY OF SUCH DAMAGE. | 
|  | // | 
|  | // Author: wjr@google.com (William Rucklidge) | 
|  |  | 
|  | #ifndef CERES_INTERNAL_PARALLEL_UTILS_H_ | 
|  | #define CERES_INTERNAL_PARALLEL_UTILS_H_ | 
|  |  | 
|  | #include "ceres/internal/export.h" | 
|  |  | 
|  | namespace ceres::internal { | 
|  |  | 
|  | // Converts a linear iteration order into a triangular iteration order. | 
|  | // Suppose you have nested loops that look like | 
|  | // for (int i = 0; i < n; i++) { | 
|  | //   for (int j = i; j < n; j++) { | 
|  | //     ... use i and j | 
|  | //   } | 
|  | // } | 
|  | // Naively using ParallelFor to parallelise those loops might look like | 
|  | // ParallelFor(..., 0, n * n, num_threads, | 
|  | //   [](int thread_id, int k) { | 
|  | //     int i = k / n, j = k % n; | 
|  | //     if (j < i) return; | 
|  | //     ... | 
|  | //    }); | 
|  | // but these empty work items can lead to very unbalanced threading. Instead, | 
|  | // do this: | 
|  | // int actual_work_items = (n * (n + 1)) / 2; | 
|  | // ParallelFor(..., 0, actual_work_items, num_threads, | 
|  | //   [](int thread_id, int k) { | 
|  | //     int i, j; | 
|  | //     UnfoldIteration(k, n, &i, &j); | 
|  | //     ... | 
|  | //    }); | 
|  | // which in each iteration will produce i and j satisfying | 
|  | // 0 <= i <= j < n | 
|  | CERES_NO_EXPORT void LinearIndexToUpperTriangularIndex(int k, | 
|  | int n, | 
|  | int* i, | 
|  | int* j); | 
|  |  | 
|  | }  // namespace ceres::internal | 
|  |  | 
|  | #endif  // CERES_INTERNAL_PARALLEL_UTILS_H_ |