/* Copyright (c) 2021, 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 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 ``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 THE COPYRIGHT OWNER OR * CONTRIBUTORS 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 TORT * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ //Based on http://www.iti.fh-flensburg.de/lang/algorithmen/sortieren/networks/oemen.htm #include #include namespace cg = cooperative_groups; #include #include "sortingNetworks_common.h" #include "sortingNetworks_common.cuh" //////////////////////////////////////////////////////////////////////////////// // Monolithic Bacther's sort kernel for short arrays fitting into shared memory //////////////////////////////////////////////////////////////////////////////// __global__ void oddEvenMergeSortShared(uint *d_DstKey, uint *d_DstVal, uint *d_SrcKey, uint *d_SrcVal, uint arrayLength, uint dir) { // Handle to thread block group cg::thread_block cta = cg::this_thread_block(); // Shared memory storage for one or more small vectors __shared__ uint s_key[SHARED_SIZE_LIMIT]; __shared__ uint s_val[SHARED_SIZE_LIMIT]; // Offset to the beginning of subbatch and load data d_SrcKey += blockIdx.x * SHARED_SIZE_LIMIT + threadIdx.x; d_SrcVal += blockIdx.x * SHARED_SIZE_LIMIT + threadIdx.x; d_DstKey += blockIdx.x * SHARED_SIZE_LIMIT + threadIdx.x; d_DstVal += blockIdx.x * SHARED_SIZE_LIMIT + threadIdx.x; s_key[threadIdx.x + 0] = d_SrcKey[0]; s_val[threadIdx.x + 0] = d_SrcVal[0]; s_key[threadIdx.x + (SHARED_SIZE_LIMIT / 2)] = d_SrcKey[(SHARED_SIZE_LIMIT / 2)]; s_val[threadIdx.x + (SHARED_SIZE_LIMIT / 2)] = d_SrcVal[(SHARED_SIZE_LIMIT / 2)]; for (uint size = 2; size <= arrayLength; size <<= 1) { uint stride = size / 2; uint offset = threadIdx.x & (stride - 1); { cg::sync(cta); uint pos = 2 * threadIdx.x - (threadIdx.x & (stride - 1)); Comparator(s_key[pos + 0], s_val[pos + 0], s_key[pos + stride], s_val[pos + stride], dir); stride >>= 1; } for (; stride > 0; stride >>= 1) { cg::sync(cta); uint pos = 2 * threadIdx.x - (threadIdx.x & (stride - 1)); if (offset >= stride) Comparator(s_key[pos - stride], s_val[pos - stride], s_key[pos + 0], s_val[pos + 0], dir); } } cg::sync(cta); d_DstKey[0] = s_key[threadIdx.x + 0]; d_DstVal[0] = s_val[threadIdx.x + 0]; d_DstKey[(SHARED_SIZE_LIMIT / 2)] = s_key[threadIdx.x + (SHARED_SIZE_LIMIT / 2)]; d_DstVal[(SHARED_SIZE_LIMIT / 2)] = s_val[threadIdx.x + (SHARED_SIZE_LIMIT / 2)]; } //////////////////////////////////////////////////////////////////////////////// // Odd-even merge sort iteration kernel // for large arrays (not fitting into shared memory) //////////////////////////////////////////////////////////////////////////////// __global__ void oddEvenMergeGlobal(uint *d_DstKey, uint *d_DstVal, uint *d_SrcKey, uint *d_SrcVal, uint arrayLength, uint size, uint stride, uint dir) { uint global_comparatorI = blockIdx.x * blockDim.x + threadIdx.x; // Odd-even merge uint pos = 2 * global_comparatorI - (global_comparatorI & (stride - 1)); if (stride < size / 2) { uint offset = global_comparatorI & ((size / 2) - 1); if (offset >= stride) { uint keyA = d_SrcKey[pos - stride]; uint valA = d_SrcVal[pos - stride]; uint keyB = d_SrcKey[pos + 0]; uint valB = d_SrcVal[pos + 0]; Comparator(keyA, valA, keyB, valB, dir); d_DstKey[pos - stride] = keyA; d_DstVal[pos - stride] = valA; d_DstKey[pos + 0] = keyB; d_DstVal[pos + 0] = valB; } } else { uint keyA = d_SrcKey[pos + 0]; uint valA = d_SrcVal[pos + 0]; uint keyB = d_SrcKey[pos + stride]; uint valB = d_SrcVal[pos + stride]; Comparator(keyA, valA, keyB, valB, dir); d_DstKey[pos + 0] = keyA; d_DstVal[pos + 0] = valA; d_DstKey[pos + stride] = keyB; d_DstVal[pos + stride] = valB; } } //////////////////////////////////////////////////////////////////////////////// // Interface function //////////////////////////////////////////////////////////////////////////////// // Helper function extern "C" uint factorRadix2(uint *log2L, uint L); extern "C" void oddEvenMergeSort(uint *d_DstKey, uint *d_DstVal, uint *d_SrcKey, uint *d_SrcVal, uint batchSize, uint arrayLength, uint dir) { // Nothing to sort if (arrayLength < 2) return; // Only power-of-two array lengths are supported by this implementation uint log2L; uint factorizationRemainder = factorRadix2(&log2L, arrayLength); assert(factorizationRemainder == 1); dir = (dir != 0); uint blockCount = (batchSize * arrayLength) / SHARED_SIZE_LIMIT; uint threadCount = SHARED_SIZE_LIMIT / 2; if (arrayLength <= SHARED_SIZE_LIMIT) { assert(SHARED_SIZE_LIMIT % arrayLength == 0); oddEvenMergeSortShared<<>>( d_DstKey, d_DstVal, d_SrcKey, d_SrcVal, arrayLength, dir); } else { oddEvenMergeSortShared<<>>( d_DstKey, d_DstVal, d_SrcKey, d_SrcVal, SHARED_SIZE_LIMIT, dir); for (uint size = 2 * SHARED_SIZE_LIMIT; size <= arrayLength; size <<= 1) for (unsigned stride = size / 2; stride > 0; stride >>= 1) { // Unlike with bitonic sort, combining bitonic merge steps with // stride = [SHARED_SIZE_LIMIT / 2 .. 1] seems to be impossible as there // are dependencies between data elements crossing the SHARED_SIZE_LIMIT // borders oddEvenMergeGlobal<<<(batchSize * arrayLength) / 512, 256>>>( d_DstKey, d_DstVal, d_DstKey, d_DstVal, arrayLength, size, stride, dir); } } }