/** * Copyright 1993-2015 NVIDIA Corporation. All rights reserved. * * Please refer to the NVIDIA end user license agreement (EULA) associated * with this source code for terms and conditions that govern your use of * this software. Any use, reproduction, disclosure, or distribution of * this software and related documentation outside the terms of the EULA * is strictly prohibited. * */ /* Parallel reduction This sample shows how to perform a reduction operation on an array of values to produce a single value in a single kernel (as opposed to two or more kernel calls as shown in the "reduction" CUDA Sample). Single-pass reduction requires Cooperative Groups. Reductions are a very common computation in parallel algorithms. Any time an array of values needs to be reduced to a single value using a binary associative operator, a reduction can be used. Example applications include statistics computations such as mean and standard deviation, and image processing applications such as finding the total luminance of an image. This code performs sum reductions, but any associative operator such as min() or max() could also be used. It assumes the input size is a power of 2. COMMAND LINE ARGUMENTS "--n=<N>": Specify the number of elements to reduce (default 33554432) "--threads=<N>": Specify the number of threads per block (default 128) "--maxblocks=<N>": Specify the maximum number of thread blocks to launch (kernel 6 only, default 64) */ // includes, system #include <stdlib.h> #include <stdio.h> #include <string.h> #include <math.h> // includes, project #include <helper_functions.h> #include <helper_cuda.h> #include <cuda_runtime.h> const char *sSDKsample = "reductionMultiBlockCG"; #include <cuda_runtime_api.h> #include <cooperative_groups.h> #include <cooperative_groups/reduce.h> namespace cg = cooperative_groups; /* Parallel sum reduction using shared memory - takes log(n) steps for n input elements - uses n/2 threads - only works for power-of-2 arrays This version adds multiple elements per thread sequentially. This reduces the overall cost of the algorithm while keeping the work complexity O(n) and the step complexity O(log n). (Brent's Theorem optimization) See the CUDA SDK "reduction" sample for more information. */ __device__ void reduceBlock(double *sdata, const cg::thread_block &cta) { const unsigned int tid = cta.thread_rank(); cg::thread_block_tile<32> tile32 = cg::tiled_partition<32>(cta); sdata[tid] = cg::reduce(tile32, sdata[tid], cg::plus<double>()); cg::sync(cta); double beta = 0.0; if (cta.thread_rank() == 0) { beta = 0; for (int i = 0; i < blockDim.x; i += tile32.size()) { beta += sdata[i]; } sdata[0] = beta; } cg::sync(cta); } // This reduction kernel reduces an arbitrary size array in a single kernel invocation // // For more details on the reduction algorithm (notably the multi-pass approach), see // the "reduction" sample in the CUDA SDK. extern "C" __global__ void reduceSinglePassMultiBlockCG(const float *g_idata, float *g_odata, unsigned int n) { // Handle to thread block group cg::thread_block block = cg::this_thread_block(); cg::grid_group grid = cg::this_grid(); extern double __shared__ sdata[]; // Stride over grid and add the values to a shared memory buffer sdata[block.thread_rank()] = 0; for (int i = grid.thread_rank(); i < n; i += grid.size()) { sdata[block.thread_rank()] += g_idata[i]; } cg::sync(block); // Reduce each block (called once per block) reduceBlock(sdata, block); // Write out the result to global memory if (block.thread_rank() == 0) { g_odata[blockIdx.x] = sdata[0]; } cg::sync(grid); if (grid.thread_rank() == 0) { for (int block = 1; block < gridDim.x; block++) { g_odata[0] += g_odata[block]; } } } //////////////////////////////////////////////////////////////////////////////// // Wrapper function for kernel launch //////////////////////////////////////////////////////////////////////////////// void call_reduceSinglePassMultiBlockCG(int size, int threads, int numBlocks, float *d_idata, float *d_odata) { int smemSize = threads * sizeof(double); void *kernelArgs[] = { (void*)&d_idata, (void*)&d_odata, (void*)&size, }; dim3 dimBlock(threads, 1, 1); dim3 dimGrid(numBlocks, 1, 1); cudaLaunchCooperativeKernel((void*)reduceSinglePassMultiBlockCG, dimGrid, dimBlock, kernelArgs, smemSize, NULL); // check if kernel execution generated an error getLastCudaError("Kernel execution failed"); } //////////////////////////////////////////////////////////////////////////////// // declaration, forward bool runTest(int argc, char **argv, int device); //////////////////////////////////////////////////////////////////////////////// // Program main //////////////////////////////////////////////////////////////////////////////// int main(int argc, char **argv) { cudaDeviceProp deviceProp = { 0 }; int dev; printf("%s Starting...\n\n", sSDKsample); dev = findCudaDevice(argc, (const char **)argv); checkCudaErrors(cudaGetDeviceProperties(&deviceProp, dev)); if (!deviceProp.cooperativeLaunch) { printf("\nSelected GPU (%d) does not support Cooperative Kernel Launch, Waiving the run\n", dev); exit(EXIT_WAIVED); } bool bTestPassed = false; bTestPassed = runTest(argc, argv, dev); exit(bTestPassed ? EXIT_SUCCESS : EXIT_FAILURE); } //////////////////////////////////////////////////////////////////////////////// //! Compute sum reduction on CPU //! We use Kahan summation for an accurate sum of large arrays. //! http://en.wikipedia.org/wiki/Kahan_summation_algorithm //! //! @param data pointer to input data //! @param size number of input data elements //////////////////////////////////////////////////////////////////////////////// template<class T> T reduceCPU(T *data, int size) { T sum = data[0]; T c = (T)0.0; for (int i = 1; i < size; i++) { T y = data[i] - c; T t = sum + y; c = (t - sum) - y; sum = t; } return sum; } unsigned int nextPow2(unsigned int x) { --x; x |= x >> 1; x |= x >> 2; x |= x >> 4; x |= x >> 8; x |= x >> 16; return ++x; } //////////////////////////////////////////////////////////////////////////////// // Compute the number of threads and blocks to use for the reduction // We set threads / block to the minimum of maxThreads and n/2. //////////////////////////////////////////////////////////////////////////////// void getNumBlocksAndThreads(int n, int maxBlocks, int maxThreads, int &blocks, int &threads) { if (n == 1) { threads = 1; blocks = 1; } else { threads = (n < maxThreads*2) ? nextPow2(n / 2) : maxThreads; blocks = max(1, n / (threads * 2)); } blocks = min(maxBlocks, blocks); } //////////////////////////////////////////////////////////////////////////////// // This function performs a reduction of the input data multiple times and // measures the average reduction time. //////////////////////////////////////////////////////////////////////////////// float benchmarkReduce(int n, int numThreads, int numBlocks, int maxThreads, int maxBlocks, int testIterations, StopWatchInterface *timer, float *h_odata, float *d_idata, float *d_odata) { float gpu_result = 0; cudaError_t error; printf("\nLaunching %s kernel\n", "SinglePass Multi Block Cooperative Groups"); for (int i = 0; i < testIterations; ++i) { gpu_result = 0; sdkStartTimer(&timer); call_reduceSinglePassMultiBlockCG(n, numThreads, numBlocks, d_idata, d_odata); cudaDeviceSynchronize(); sdkStopTimer(&timer); } // copy final sum from device to host error = cudaMemcpy(&gpu_result, d_odata, sizeof(float), cudaMemcpyDeviceToHost); checkCudaErrors(error); return gpu_result; } //////////////////////////////////////////////////////////////////////////////// // The main function which runs the reduction test. //////////////////////////////////////////////////////////////////////////////// bool runTest(int argc, char **argv, int device) { int size = 1 << 25; // number of elements to reduce bool bTestPassed = false; if (checkCmdLineFlag(argc, (const char **) argv, "n")) { size = getCmdLineArgumentInt(argc, (const char **)argv, "n"); } printf("%d elements\n", size); // Set the device to be used cudaDeviceProp prop = { 0 }; checkCudaErrors(cudaSetDevice(device)); checkCudaErrors(cudaGetDeviceProperties(&prop, device)); // create random input data on CPU unsigned int bytes = size * sizeof(float); float *h_idata = (float *) malloc(bytes); for (int i = 0; i < size; i++) { // Keep the numbers small so we don't get truncation error in the sum h_idata[i] = (rand() & 0xFF) / (float)RAND_MAX; } // Determine the launch configuration (threads, blocks) int maxThreads = 0; int maxBlocks = 0; if (checkCmdLineFlag(argc, (const char **) argv, "threads")) { maxThreads = getCmdLineArgumentInt(argc, (const char **)argv, "threads"); } else { maxThreads = prop.maxThreadsPerBlock; } if (checkCmdLineFlag(argc, (const char **) argv, "maxblocks")) { maxBlocks = getCmdLineArgumentInt(argc, (const char **)argv, "maxblocks"); } else { maxBlocks = prop.multiProcessorCount * (prop.maxThreadsPerMultiProcessor / prop.maxThreadsPerBlock); } int numBlocks = 0; int numThreads = 0; getNumBlocksAndThreads(size, maxBlocks, maxThreads, numBlocks, numThreads); // We calculate the occupancy to know how many block can actually fit on the GPU int numBlocksPerSm = 0; checkCudaErrors(cudaOccupancyMaxActiveBlocksPerMultiprocessor(&numBlocksPerSm, reduceSinglePassMultiBlockCG, numThreads, numThreads*sizeof(double))); int numSms = prop.multiProcessorCount; if (numBlocks > numBlocksPerSm * numSms) { numBlocks = numBlocksPerSm * numSms; } printf("numThreads: %d\n", numThreads); printf("numBlocks: %d\n", numBlocks); // allocate mem for the result on host side float *h_odata = (float *) malloc(numBlocks*sizeof(float)); // allocate device memory and data float *d_idata = NULL; float *d_odata = NULL; checkCudaErrors(cudaMalloc((void **) &d_idata, bytes)); checkCudaErrors(cudaMalloc((void **) &d_odata, numBlocks*sizeof(float))); // copy data directly to device memory checkCudaErrors(cudaMemcpy(d_idata, h_idata, bytes, cudaMemcpyHostToDevice)); checkCudaErrors(cudaMemcpy(d_odata, h_idata, numBlocks*sizeof(float), cudaMemcpyHostToDevice)); int testIterations = 100; StopWatchInterface *timer = 0; sdkCreateTimer(&timer); float gpu_result = 0; gpu_result = benchmarkReduce(size, numThreads, numBlocks, maxThreads, maxBlocks, testIterations, timer, h_odata, d_idata, d_odata); float reduceTime = sdkGetAverageTimerValue(&timer); printf("Average time: %f ms\n", reduceTime); printf("Bandwidth: %f GB/s\n\n", (size * sizeof(int)) / (reduceTime * 1.0e6)); // compute reference solution float cpu_result = reduceCPU<float>(h_idata, size); printf("GPU result = %0.12f\n", gpu_result); printf("CPU result = %0.12f\n", cpu_result); double threshold = 1e-8 * size; double diff = abs((double)gpu_result - (double)cpu_result); bTestPassed = (diff < threshold); // cleanup sdkDeleteTimer(&timer); free(h_idata); free(h_odata); cudaFree(d_idata); cudaFree(d_odata); return bTestPassed; }