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441 lines
13 KiB
Plaintext
441 lines
13 KiB
Plaintext
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/* Copyright (c) 2021, NVIDIA CORPORATION. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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* * Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* * Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in the
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* documentation and/or other materials provided with the distribution.
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* * Neither the name of NVIDIA CORPORATION nor the names of its
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* contributors may be used to endorse or promote products derived
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* from this software without specific prior written permission.
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*
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
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* EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
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* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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* PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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* PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
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* OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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* (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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* OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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/*
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Parallel reduction kernels
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*/
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#ifndef _REDUCE_KERNEL_H_
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#define _REDUCE_KERNEL_H_
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#include <cuda_runtime_api.h>
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#include <cooperative_groups.h>
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namespace cg = cooperative_groups;
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/*
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Parallel sum reduction using shared memory
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- takes log(n) steps for n input elements
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- uses n/2 threads
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- only works for power-of-2 arrays
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This version adds multiple elements per thread sequentially. This reduces
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the overall cost of the algorithm while keeping the work complexity O(n) and
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the step complexity O(log n). (Brent's Theorem optimization)
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See the CUDA SDK "reduction" sample for more information.
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*/
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template <unsigned int blockSize>
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__device__ void reduceBlock(volatile float *sdata, float mySum,
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const unsigned int tid, cg::thread_block cta) {
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cg::thread_block_tile<32> tile32 = cg::tiled_partition<32>(cta);
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sdata[tid] = mySum;
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cg::sync(tile32);
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const int VEC = 32;
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const int vid = tid & (VEC - 1);
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float beta = mySum;
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float temp;
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for (int i = VEC / 2; i > 0; i >>= 1) {
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if (vid < i) {
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temp = sdata[tid + i];
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beta += temp;
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sdata[tid] = beta;
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}
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cg::sync(tile32);
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}
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cg::sync(cta);
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if (cta.thread_rank() == 0) {
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beta = 0;
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for (int i = 0; i < blockDim.x; i += VEC) {
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beta += sdata[i];
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}
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sdata[0] = beta;
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}
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cg::sync(cta);
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}
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template <unsigned int blockSize, bool nIsPow2>
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__device__ void reduceBlocks(const float *g_idata, float *g_odata,
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unsigned int n, cg::thread_block cta) {
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extern __shared__ float sdata[];
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// perform first level of reduction,
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// reading from global memory, writing to shared memory
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unsigned int tid = threadIdx.x;
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unsigned int i = blockIdx.x * (blockSize * 2) + threadIdx.x;
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unsigned int gridSize = blockSize * 2 * gridDim.x;
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float mySum = 0;
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// we reduce multiple elements per thread. The number is determined by the
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// number of active thread blocks (via gridDim). More blocks will result
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// in a larger gridSize and therefore fewer elements per thread
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while (i < n) {
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mySum += g_idata[i];
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// ensure we don't read out of bounds -- this is optimized away for powerOf2
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// sized arrays
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if (nIsPow2 || i + blockSize < n) mySum += g_idata[i + blockSize];
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i += gridSize;
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}
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// do reduction in shared mem
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reduceBlock<blockSize>(sdata, mySum, tid, cta);
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// write result for this block to global mem
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if (tid == 0) g_odata[blockIdx.x] = sdata[0];
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}
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template <unsigned int blockSize, bool nIsPow2>
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__global__ void reduceMultiPass(const float *g_idata, float *g_odata,
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unsigned int n) {
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// Handle to thread block group
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cg::thread_block cta = cg::this_thread_block();
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reduceBlocks<blockSize, nIsPow2>(g_idata, g_odata, n, cta);
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}
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// Global variable used by reduceSinglePass to count how many blocks have
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// finished
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__device__ unsigned int retirementCount = 0;
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cudaError_t setRetirementCount(int retCnt) {
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return cudaMemcpyToSymbol(retirementCount, &retCnt, sizeof(unsigned int), 0,
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cudaMemcpyHostToDevice);
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}
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// This reduction kernel reduces an arbitrary size array in a single kernel
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// invocation It does so by keeping track of how many blocks have finished.
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// After each thread block completes the reduction of its own block of data, it
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// "takes a ticket" by atomically incrementing a global counter. If the ticket
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// value is equal to the number of thread blocks, then the block holding the
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// ticket knows that it is the last block to finish. This last block is
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// responsible for summing the results of all the other blocks.
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//
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// In order for this to work, we must be sure that before a block takes a
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// ticket, all of its memory transactions have completed. This is what
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// __threadfence() does -- it blocks until the results of all outstanding memory
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// transactions within the calling thread are visible to all other threads.
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//
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// For more details on the reduction algorithm (notably the multi-pass
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// approach), see the "reduction" sample in the CUDA SDK.
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template <unsigned int blockSize, bool nIsPow2>
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__global__ void reduceSinglePass(const float *g_idata, float *g_odata,
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unsigned int n) {
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// Handle to thread block group
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cg::thread_block cta = cg::this_thread_block();
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//
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// PHASE 1: Process all inputs assigned to this block
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//
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reduceBlocks<blockSize, nIsPow2>(g_idata, g_odata, n, cta);
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//
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// PHASE 2: Last block finished will process all partial sums
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//
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if (gridDim.x > 1) {
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const unsigned int tid = threadIdx.x;
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__shared__ bool amLast;
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extern float __shared__ smem[];
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// wait until all outstanding memory instructions in this thread are
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// finished
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__threadfence();
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// Thread 0 takes a ticket
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if (tid == 0) {
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unsigned int ticket = atomicInc(&retirementCount, gridDim.x);
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// If the ticket ID is equal to the number of blocks, we are the last
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// block!
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amLast = (ticket == gridDim.x - 1);
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}
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cg::sync(cta);
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// The last block sums the results of all other blocks
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if (amLast) {
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int i = tid;
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float mySum = 0;
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while (i < gridDim.x) {
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mySum += g_odata[i];
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i += blockSize;
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}
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reduceBlock<blockSize>(smem, mySum, tid, cta);
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if (tid == 0) {
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g_odata[0] = smem[0];
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// reset retirement count so that next run succeeds
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retirementCount = 0;
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}
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}
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}
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}
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bool isPow2(unsigned int x) { return ((x & (x - 1)) == 0); }
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////////////////////////////////////////////////////////////////////////////////
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// Wrapper function for kernel launch
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////////////////////////////////////////////////////////////////////////////////
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extern "C" void reduce(int size, int threads, int blocks, float *d_idata,
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float *d_odata) {
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dim3 dimBlock(threads, 1, 1);
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dim3 dimGrid(blocks, 1, 1);
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int smemSize =
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(threads <= 32) ? 2 * threads * sizeof(float) : threads * sizeof(float);
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// choose which of the optimized versions of reduction to launch
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if (isPow2(size)) {
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switch (threads) {
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case 512:
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reduceMultiPass<512, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 256:
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reduceMultiPass<256, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 128:
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reduceMultiPass<128, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 64:
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reduceMultiPass<64, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 32:
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reduceMultiPass<32, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 16:
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reduceMultiPass<16, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 8:
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reduceMultiPass<8, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 4:
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reduceMultiPass<4, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 2:
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reduceMultiPass<2, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 1:
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reduceMultiPass<1, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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}
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} else {
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switch (threads) {
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case 512:
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reduceMultiPass<512, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 256:
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reduceMultiPass<256, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 128:
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reduceMultiPass<128, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 64:
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reduceMultiPass<64, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 32:
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reduceMultiPass<32, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 16:
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reduceMultiPass<16, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 8:
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reduceMultiPass<8, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 4:
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reduceMultiPass<4, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 2:
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reduceMultiPass<2, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 1:
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reduceMultiPass<1, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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}
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}
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}
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extern "C" void reduceSinglePass(int size, int threads, int blocks,
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float *d_idata, float *d_odata) {
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dim3 dimBlock(threads, 1, 1);
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dim3 dimGrid(blocks, 1, 1);
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int smemSize = threads * sizeof(float);
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// choose which of the optimized versions of reduction to launch
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if (isPow2(size)) {
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switch (threads) {
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case 512:
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reduceSinglePass<512, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 256:
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reduceSinglePass<256, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 128:
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reduceSinglePass<128, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 64:
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reduceSinglePass<64, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 32:
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reduceSinglePass<32, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 16:
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reduceSinglePass<16, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 8:
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reduceSinglePass<8, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 4:
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reduceSinglePass<4, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 2:
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reduceSinglePass<2, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 1:
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reduceSinglePass<1, true>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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}
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} else {
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switch (threads) {
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case 512:
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reduceSinglePass<512, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 256:
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reduceSinglePass<256, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 128:
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reduceSinglePass<128, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 64:
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reduceSinglePass<64, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 32:
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reduceSinglePass<32, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 16:
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reduceSinglePass<16, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 8:
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reduceSinglePass<8, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 4:
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reduceSinglePass<4, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 2:
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reduceSinglePass<2, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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case 1:
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reduceSinglePass<1, false>
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<<<dimGrid, dimBlock, smemSize>>>(d_idata, d_odata, size);
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break;
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}
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||
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}
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||
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}
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||
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||
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#endif // #ifndef _REDUCE_KERNEL_H_
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