224 lines
7.9 KiB
C++
224 lines
7.9 KiB
C++
/*******************************************************************************
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* Copyright (c) 2015-2018 Skymind, Inc.
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*
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* This program and the accompanying materials are made available under the
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* terms of the Apache License, Version 2.0 which is available at
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* https://www.apache.org/licenses/LICENSE-2.0.
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
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* License for the specific language governing permissions and limitations
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* under the License.
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*
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* SPDX-License-Identifier: Apache-2.0
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******************************************************************************/
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//
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// @author raver119@gmail.com
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//
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#include <ops/specials_sparse.h>
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#include <system/dll.h>
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#include <system/pointercast.h>
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#include <stdio.h>
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#include <stdlib.h>
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#ifdef _OPENMP
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#include <omp.h>
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#endif
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#include <types/float16.h>
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#include <types/types.h>
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namespace sd {
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namespace sparse {
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template <typename T>
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void SparseUtils<T>::printIndex(Nd4jLong *indices, int rank, int x) {
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printf(" [");
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for (int e = 0; e < rank; e++) {
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if (e > 0)
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printf(", ");
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printf("%lld", (long long) indices[x * rank + e]);
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}
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printf("] ");
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}
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template <typename T>
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bool SparseUtils<T>::ltIndices(Nd4jLong *indices, int rank, Nd4jLong x, Nd4jLong y) {
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for (int e = 0; e < rank; e++) {
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Nd4jLong idxX = indices[x * rank + e];
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Nd4jLong idxY = indices[y * rank + e];
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// we're comparing indices one by one, starting from outer dimension
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if (idxX < idxY) {
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return true;
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} else if (idxX == idxY) {
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// do nothing, continue to next dimension
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} else
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return false;
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}
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return false;
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}
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template <typename T>
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bool SparseUtils<T>::gtIndices(Nd4jLong *indices, int rank, Nd4jLong x, Nd4jLong y) {
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for (int e = 0; e < rank; e++) {
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// we're comparing indices one by one, starting from outer dimension
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Nd4jLong idxX = indices[x * rank + e];
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Nd4jLong idxY = indices[y * rank + e];
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if ( idxX > idxY) {
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return true;
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} else if (idxX == idxY) {
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// do nothing, continue to next dimension
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} else
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return false;
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}
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return false;
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}
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template <typename T>
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void SparseUtils<T>::swapEverything(Nd4jLong *indices, T *array, int rank, Nd4jLong x, Nd4jLong y) {
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// swap indices
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for (int e = 0; e < rank; e++) {
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Nd4jLong tmp = indices[x * rank + e];
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indices[x * rank + e] = indices[y * rank + e];
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indices[y * rank + e] = tmp;
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}
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// swap values
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T tmp = array[x];
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array[x] = array[y];
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array[y] = tmp;
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}
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template <typename T>
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Nd4jLong SparseUtils<T>::coo_quickSort_findPivot(Nd4jLong *indices, T *array, Nd4jLong left, Nd4jLong right,
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int rank) {
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Nd4jLong mid = (left + right) / 2;
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// ensure left < mid
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if (ltIndices(indices, rank, mid, left)) { // ensure lo < mid
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swapEverything(indices, array, rank, mid, left);
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}
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// ensure left < right
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if (ltIndices(indices, rank, right, left)) {
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swapEverything(indices, array, rank, right, left);
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}
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// ensure mid < right
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if (ltIndices(indices, rank, right, mid)) {
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swapEverything(indices, array, rank, right, mid);
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}
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// mid is the median of the 3, and is the optimal pivot point
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return mid;
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}
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template<typename T>
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void SparseUtils<T>::coo_quickSort_parallel_internal(Nd4jLong *indices, T* array, Nd4jLong left, Nd4jLong right, int cutoff, int rank) {
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Nd4jLong span = right - left; // elements to be partitioned - 1
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if (span == 1){
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// only 2 elements to partition. swap if needed and return directly without further sorting.
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if (ltIndices(indices, rank, right, left)){
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swapEverything(indices, array, rank, left, right);
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}
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return;
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}
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// find optimal pivot and sort left < right < right
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Nd4jLong pvt = coo_quickSort_findPivot(indices, array, left, right, rank);
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if (span == 2){
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// only 3 elements to partition. findPivot has already sorted them. no further sorting is needed.
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return;
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}
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// index that is greater than pivot - leftmost element is already partitioned because of findPivot.
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Nd4jLong i = left + 1;
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// index that is smaller than pivot - rightmost element is already partitioned because of findPivot.
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Nd4jLong j = right - 1;
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{
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// flag that indicates that pivot index lies between i and j and *could* be swapped.
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bool checkPivot = true;
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/* PARTITION PART */
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while (i <= j) {
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while (ltIndices(indices, rank, i, pvt))
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i++;
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while (gtIndices(indices, rank, j, pvt))
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j--;
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if (i <= j) {
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if(i != j) { // swap can be fairly expensive. don't swap i -> i
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swapEverything(indices, array, rank, i, j);
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}
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// only check pivot if it hasn't already been swapped.
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if (checkPivot) {
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// check if we moved the pivot, if so, change pivot index accordingly
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if (pvt == j) {
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pvt = i;
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checkPivot = false;
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} else if (pvt == i) {
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pvt = j;
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checkPivot = false;
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}
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}
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i++;
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j--;
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}
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}
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}
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if ( (span < cutoff) ){
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if (left < j){ coo_quickSort_parallel_internal(indices, array, left, j, cutoff, rank); }
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if (i < right){ coo_quickSort_parallel_internal(indices, array, i, right, cutoff, rank); }
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}else{
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PRAGMA_OMP_TASK
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{ coo_quickSort_parallel_internal(indices, array, left, j, cutoff, rank); }
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PRAGMA_OMP_TASK
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{ coo_quickSort_parallel_internal(indices, array, i, right, cutoff, rank); }
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}
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}
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template <typename T>
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void SparseUtils<T>::coo_quickSort_parallel(Nd4jLong *indices, T* array, Nd4jLong lenArray, int numThreads, int rank){
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int cutoff = 1000;
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PRAGMA_OMP_PARALLEL_THREADS(numThreads)
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{
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PRAGMA_OMP_SINGLE_ARGS(nowait)
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{
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coo_quickSort_parallel_internal(indices, array, 0, lenArray-1, cutoff, rank);
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}
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}
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}
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template <typename T>
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void SparseUtils<T>::sortCooIndicesGeneric(Nd4jLong *indices, void *vx, Nd4jLong length, int rank) {
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auto values = reinterpret_cast<T *>(vx);
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#ifdef _OPENMP
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coo_quickSort_parallel(indices, values, length, omp_get_max_threads(), rank);
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#else
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coo_quickSort_parallel(indices, values, length, 1, rank);
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#endif
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}
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BUILD_SINGLE_TEMPLATE(template class ND4J_EXPORT SparseUtils, , LIBND4J_TYPES);
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}
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}
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