/* Copyright (c) 2014, Evghenii Gaburov 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 Intel 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 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 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 radixSort from http://www.moderngpu.com */ #define NUMBITS 8 #define NUMDIGITS (1<> bit); #ifdef __NVPTX__ atomic_add_global(&counts[key], 1); #else atomic_add_local(&counts[key], 1); #endif } foreach (digit = 0 ... NUMDIGITS) atomic_add_global(&countsGlobal[digit], counts[digit]); } task void sortPass( uniform Key keysAll[], uniform Key sorted[], uniform int bit, uniform int numElements, uniform int digitOffsetsAll[]) { const uniform int blockIdx = taskIndex; const uniform int numBlocks = taskCount; const uniform int blockDim = (numElements + numBlocks - 1) / numBlocks; const uniform int keyIndex = blockIdx * blockDim; uniform Key * uniform keys = keysAll + keyIndex; const uniform int nloc = min(numElements - keyIndex, blockDim); const uniform int mask = (1 << NUMBITS) - 1; /* copy digit offset from Gmem to Lmem */ #if 1 uniform int digitOffsets[NUMDIGITS]; foreach (digit = 0 ... NUMDIGITS) digitOffsets[digit] = digitOffsetsAll[blockIdx*NUMDIGITS + digit]; #else uniform int * uniform digitOffsets = &digitOffsetsAll[blockIdx*NUMDIGITS]; #endif foreach (i = 0 ... nloc) { const int key = mask & ((unsigned int)keys[i] >> bit); int scatter; /* not a vector friendly loop */ foreach_active(iv) scatter = digitOffsets[key]++; sorted[scatter] = keys[i]; } } task void partialScanLocal( uniform int numBlocks, uniform int excScanAll[], uniform int countsAll[], uniform int partialSumAll[]) { const uniform int blockIdx = taskIndex; const uniform int blockDim = (numBlocks+taskCount-1)/taskCount; const uniform int bbeg = blockIdx * blockDim; const uniform int bend = min(bbeg + blockDim, numBlocks); uniform int (* uniform countsBlock)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])countsAll; uniform int (* uniform excScanBlock)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])excScanAll; uniform int (* uniform partialSum)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])partialSumAll; foreach (digit = 0 ... NUMDIGITS) { int prev = bbeg == 0 ? excScanBlock[0][digit] : 0; for (uniform int block = bbeg; block < bend; block++) { const int y = countsBlock[block][digit]; excScanBlock[block][digit] = prev; prev += y; } partialSum[blockIdx][digit] = excScanBlock[bend-1][digit] + countsBlock[bend-1][digit]; } } task void partialScanGlobal( const uniform int numBlocks, uniform int partialSumAll[], uniform int prefixSumAll[]) { uniform int (* uniform partialSum)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])partialSumAll; uniform int (* uniform prefixSum)[NUMDIGITS] = (uniform int (*)[NUMDIGITS]) prefixSumAll; const uniform int digit = taskIndex; int carry = 0; foreach (block = 0 ... numBlocks) { const int value = partialSum[block][digit]; const int scan = exclusive_scan_add(value); prefixSum[block][digit] = scan + carry; carry += broadcast(scan+value, programCount-1); } } task void completeScanGlobal( uniform int numBlocks, uniform int excScanAll[], uniform int carryValueAll[]) { const uniform int blockIdx = taskIndex; const uniform int blockDim = (numBlocks+taskCount-1)/taskCount; const uniform int bbeg = blockIdx * blockDim; const uniform int bend = min(bbeg + blockDim, numBlocks); uniform int (* uniform excScanBlock)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])excScanAll; uniform int (* uniform carryValue)[NUMDIGITS] = (uniform int (*)[NUMDIGITS])carryValueAll; foreach (digit = 0 ... NUMDIGITS) { const int carry = carryValue[blockIdx][digit]; for (uniform int block = bbeg; block < bend; block++) excScanBlock[block][digit] += carry; } } static inline void radixExclusiveScan( const uniform int numBlocks, uniform int excScanPtr[], uniform int countsPtr[], uniform int partialSum[], uniform int prefixSum[]) { const uniform int scale = 8; launch [numBlocks/scale] partialScanLocal(numBlocks, excScanPtr, countsPtr, partialSum); sync; launch [NUMDIGITS] partialScanGlobal(numBlocks/scale, partialSum, prefixSum); sync; launch [numBlocks/scale] completeScanGlobal(numBlocks, excScanPtr, prefixSum); sync; } static uniform int * uniform memoryPool = NULL; static uniform int numBlocks; static uniform int nSharedCounts; static uniform int nCountsGlobal; static uniform int nExcScan; static uniform int nCountsBlock; static uniform int nPartialSum; static uniform int nPrefixSum; static uniform int * uniform sharedCounts; static uniform int * uniform countsGlobal; static uniform int * uniform excScan; static uniform int * uniform counts; static uniform int * uniform partialSum; static uniform int * uniform prefixSum; static uniform int numElementsBuf = 0; static uniform Key * uniform bufKeys; export void radixSort_alloc(const uniform int n) { assert(memoryPool == NULL); numBlocks = num_cores()*4; #ifdef __NVPTX__ numBlocks = 13*32*4; //num_cores()*4; #endif nSharedCounts = NUMDIGITS*numBlocks; nCountsGlobal = NUMDIGITS; nExcScan = NUMDIGITS*numBlocks; nCountsBlock = NUMDIGITS*numBlocks; nPartialSum = NUMDIGITS*numBlocks; nPrefixSum = NUMDIGITS*numBlocks; const uniform int nalloc = nSharedCounts + nCountsGlobal + nExcScan + nCountsBlock + nPartialSum + nPrefixSum; memoryPool = uniform new uniform int[nalloc]; sharedCounts = memoryPool; countsGlobal = sharedCounts + nSharedCounts; excScan = countsGlobal + nCountsGlobal; counts = excScan + nExcScan; partialSum = counts + nCountsBlock; prefixSum = partialSum + nPartialSum; } static void radixSort_freeBufKeys() { if (numElementsBuf > 0) { delete bufKeys; numElementsBuf = 0; } } export void radixSort_free() { assert(memoryPool != NULL); delete memoryPool; memoryPool = NULL; radixSort_freeBufKeys(); } export void radixSort( const uniform int numElements, uniform Key keys[], const uniform int nBits) { #ifdef __NVPTX__ assert((numBlocks & 3) == 0); /* task granularity on Kepler is 4 */ #endif if (numElementsBuf < numElements) radixSort_freeBufKeys(); if (numElementsBuf == 0) { numElementsBuf = numElements; bufKeys = uniform new uniform Key[numElementsBuf]; } const uniform int blockDim = (numElements + numBlocks - 1) / numBlocks; for (uniform int bit = 0; bit < nBits; bit += NUMBITS) { /* initialize histogram for each digit */ foreach (digit = 0 ... NUMDIGITS) countsGlobal[digit] = 0; /* compute histogram for each digit */ launch [numBlocks] countPass(keys, bufKeys, bit, numElements, counts, countsGlobal); sync; /* exclusive scan on global histogram */ int carry = 0; excScan[0] = 0; foreach (digit = 0 ... NUMDIGITS) { const int value = countsGlobal[digit]; const int scan = exclusive_scan_add(value); excScan[digit] = scan + carry; carry += broadcast(scan+value, programCount-1); } /* computing offsets for each digit */ radixExclusiveScan(numBlocks, excScan, counts, partialSum, prefixSum); /* sorting */ launch [numBlocks] sortPass( bufKeys, keys, bit, numElements, excScan); sync; } }