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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. */ /* Parallel reduction This sample shows how to perform a reduction operation on an array of values to produce a single value. 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 "--shmoo": Test performance for 1 to 32M elements with each of the 7 different kernels "--n=": Specify the number of elements to reduce (default 1048576) "--threads=": Specify the number of threads per block (default 128) "--kernel=": Specify which kernel to run (0-6, default 6) "--maxblocks=": Specify the maximum number of thread blocks to launch (kernel 6 only, default 64) "--cpufinal": Read back the per-block results and do final sum of block sums on CPU (default false) "--cputhresh=": The threshold of number of blocks sums below which to perform a CPU final reduction (default 1) "-type=": The datatype for the reduction, where T is "int", "float", or "double" (default int) */ // CUDA Runtime #include // Utilities and system includes #include #include #include // includes, project #include "reduction.h" enum ReduceType { REDUCE_INT, REDUCE_FLOAT, REDUCE_DOUBLE }; //////////////////////////////////////////////////////////////////////////////// // declaration, forward template bool runTest(int argc, char **argv, ReduceType datatype); #define MAX_BLOCK_DIM_SIZE 65535 #ifdef WIN32 #define strcasecmp strcmpi #endif extern "C" bool isPow2(unsigned int x) { return ((x & (x - 1)) == 0); } const char *getReduceTypeString(const ReduceType type) { switch (type) { case REDUCE_INT: return "int"; case REDUCE_FLOAT: return "float"; case REDUCE_DOUBLE: return "double"; default: return "unknown"; } } //////////////////////////////////////////////////////////////////////////////// // Program main //////////////////////////////////////////////////////////////////////////////// int main(int argc, char **argv) { printf("%s Starting...\n\n", argv[0]); char *typeInput = 0; getCmdLineArgumentString(argc, (const char **)argv, "type", &typeInput); ReduceType datatype = REDUCE_INT; if (0 != typeInput) { if (!strcasecmp(typeInput, "float")) { datatype = REDUCE_FLOAT; } else if (!strcasecmp(typeInput, "double")) { datatype = REDUCE_DOUBLE; } else if (strcasecmp(typeInput, "int")) { printf("Type %s is not recognized. Using default type int.\n\n", typeInput); } } cudaDeviceProp deviceProp; int dev; dev = findCudaDevice(argc, (const char **)argv); checkCudaErrors(cudaGetDeviceProperties(&deviceProp, dev)); printf("Using Device %d: %s\n\n", dev, deviceProp.name); checkCudaErrors(cudaSetDevice(dev)); printf("Reducing array of type %s\n\n", getReduceTypeString(datatype)); bool bResult = false; switch (datatype) { default: case REDUCE_INT: bResult = runTest(argc, argv, datatype); break; case REDUCE_FLOAT: bResult = runTest(argc, argv, datatype); break; case REDUCE_DOUBLE: bResult = runTest(argc, argv, datatype); break; } printf(bResult ? "Test passed\n" : "Test failed!\n"); } //////////////////////////////////////////////////////////////////////////////// //! 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 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; } #ifndef MIN #define MIN(x, y) ((x < y) ? x : y) #endif //////////////////////////////////////////////////////////////////////////////// // Compute the number of threads and blocks to use for the given reduction // kernel For the kernels >= 3, we set threads / block to the minimum of // maxThreads and n/2. For kernels < 3, we set to the minimum of maxThreads and // n. For kernel 6, we observe the maximum specified number of blocks, because // each thread in that kernel can process a variable number of elements. //////////////////////////////////////////////////////////////////////////////// void getNumBlocksAndThreads(int whichKernel, int n, int maxBlocks, int maxThreads, int &blocks, int &threads) { // get device capability, to avoid block/grid size exceed the upper bound cudaDeviceProp prop; int device; checkCudaErrors(cudaGetDevice(&device)); checkCudaErrors(cudaGetDeviceProperties(&prop, device)); if (whichKernel < 3) { threads = (n < maxThreads) ? nextPow2(n) : maxThreads; blocks = (n + threads - 1) / threads; } else { threads = (n < maxThreads * 2) ? nextPow2((n + 1) / 2) : maxThreads; blocks = (n + (threads * 2 - 1)) / (threads * 2); } if ((float)threads * blocks > (float)prop.maxGridSize[0] * prop.maxThreadsPerBlock) { printf("n is too large, please choose a smaller number!\n"); } if (blocks > prop.maxGridSize[0]) { printf( "Grid size <%d> exceeds the device capability <%d>, set block size as " "%d (original %d)\n", blocks, prop.maxGridSize[0], threads * 2, threads); blocks /= 2; threads *= 2; } if (whichKernel >= 6) { blocks = MIN(maxBlocks, blocks); } } //////////////////////////////////////////////////////////////////////////////// // This function performs a reduction of the input data multiple times and // measures the average reduction time. //////////////////////////////////////////////////////////////////////////////// template T benchmarkReduce(int n, int numThreads, int numBlocks, int maxThreads, int maxBlocks, int whichKernel, int testIterations, bool cpuFinalReduction, int cpuFinalThreshold, StopWatchInterface *timer, T *h_odata, T *d_idata, T *d_odata) { T gpu_result = 0; bool needReadBack = true; T *d_intermediateSums; checkCudaErrors( cudaMalloc((void **)&d_intermediateSums, sizeof(T) * numBlocks)); for (int i = 0; i < testIterations; ++i) { gpu_result = 0; cudaDeviceSynchronize(); sdkStartTimer(&timer); // execute the kernel reduce(n, numThreads, numBlocks, whichKernel, d_idata, d_odata); // check if kernel execution generated an error getLastCudaError("Kernel execution failed"); if (cpuFinalReduction) { // sum partial sums from each block on CPU // copy result from device to host checkCudaErrors(cudaMemcpy(h_odata, d_odata, numBlocks * sizeof(T), cudaMemcpyDeviceToHost)); for (int i = 0; i < numBlocks; i++) { gpu_result += h_odata[i]; } needReadBack = false; } else { // sum partial block sums on GPU int s = numBlocks; int kernel = whichKernel; while (s > cpuFinalThreshold) { int threads = 0, blocks = 0; getNumBlocksAndThreads(kernel, s, maxBlocks, maxThreads, blocks, threads); checkCudaErrors(cudaMemcpy(d_intermediateSums, d_odata, s * sizeof(T), cudaMemcpyDeviceToDevice)); reduce(s, threads, blocks, kernel, d_intermediateSums, d_odata); if (kernel < 3) { s = (s + threads - 1) / threads; } else { s = (s + (threads * 2 - 1)) / (threads * 2); } } if (s > 1) { // copy result from device to host checkCudaErrors(cudaMemcpy(h_odata, d_odata, s * sizeof(T), cudaMemcpyDeviceToHost)); for (int i = 0; i < s; i++) { gpu_result += h_odata[i]; } needReadBack = false; } } cudaDeviceSynchronize(); sdkStopTimer(&timer); } if (needReadBack) { // copy final sum from device to host checkCudaErrors( cudaMemcpy(&gpu_result, d_odata, sizeof(T), cudaMemcpyDeviceToHost)); } checkCudaErrors(cudaFree(d_intermediateSums)); return gpu_result; } //////////////////////////////////////////////////////////////////////////////// // This function calls benchmarkReduce multiple times for a range of array sizes // and prints a report in CSV (comma-separated value) format that can be used // for generating a "shmoo" plot showing the performance for each kernel // variation over a wide range of input sizes. //////////////////////////////////////////////////////////////////////////////// template void shmoo(int minN, int maxN, int maxThreads, int maxBlocks, ReduceType datatype) { // create random input data on CPU unsigned int bytes = maxN * sizeof(T); T *h_idata = (T *)malloc(bytes); for (int i = 0; i < maxN; i++) { // Keep the numbers small so we don't get truncation error in the sum if (datatype == REDUCE_INT) { h_idata[i] = (T)(rand() & 0xFF); } else { h_idata[i] = (rand() & 0xFF) / (T)RAND_MAX; } } int maxNumBlocks = MIN(maxN / maxThreads, MAX_BLOCK_DIM_SIZE); // allocate mem for the result on host side T *h_odata = (T *)malloc(maxNumBlocks * sizeof(T)); // allocate device memory and data T *d_idata = NULL; T *d_odata = NULL; checkCudaErrors(cudaMalloc((void **)&d_idata, bytes)); checkCudaErrors(cudaMalloc((void **)&d_odata, maxNumBlocks * sizeof(T))); // copy data directly to device memory checkCudaErrors(cudaMemcpy(d_idata, h_idata, bytes, cudaMemcpyHostToDevice)); checkCudaErrors(cudaMemcpy(d_odata, h_idata, maxNumBlocks * sizeof(T), cudaMemcpyHostToDevice)); // warm-up for (int kernel = 0; kernel < 8; kernel++) { reduce(maxN, maxThreads, maxNumBlocks, kernel, d_idata, d_odata); } int testIterations = 100; StopWatchInterface *timer = 0; sdkCreateTimer(&timer); // print headers printf( "Time in milliseconds for various numbers of elements for each " "kernel\n\n\n"); printf("Kernel"); for (int i = minN; i <= maxN; i *= 2) { printf(", %d", i); } for (int kernel = 0; kernel < 8; kernel++) { printf("\n%d", kernel); for (int i = minN; i <= maxN; i *= 2) { sdkResetTimer(&timer); int numBlocks = 0; int numThreads = 0; getNumBlocksAndThreads(kernel, i, maxBlocks, maxThreads, numBlocks, numThreads); float reduceTime; if (numBlocks <= MAX_BLOCK_DIM_SIZE) { benchmarkReduce(i, numThreads, numBlocks, maxThreads, maxBlocks, kernel, testIterations, false, 1, timer, h_odata, d_idata, d_odata); reduceTime = sdkGetAverageTimerValue(&timer); } else { reduceTime = -1.0; } printf(", %.5f", reduceTime); } } // cleanup sdkDeleteTimer(&timer); free(h_idata); free(h_odata); checkCudaErrors(cudaFree(d_idata)); checkCudaErrors(cudaFree(d_odata)); } //////////////////////////////////////////////////////////////////////////////// // The main function which runs the reduction test. //////////////////////////////////////////////////////////////////////////////// template bool runTest(int argc, char **argv, ReduceType datatype) { int size = 1 << 24; // number of elements to reduce int maxThreads = 256; // number of threads per block int whichKernel = 7; int maxBlocks = 64; bool cpuFinalReduction = false; int cpuFinalThreshold = 1; if (checkCmdLineFlag(argc, (const char **)argv, "n")) { size = getCmdLineArgumentInt(argc, (const char **)argv, "n"); } if (checkCmdLineFlag(argc, (const char **)argv, "threads")) { maxThreads = getCmdLineArgumentInt(argc, (const char **)argv, "threads"); } if (checkCmdLineFlag(argc, (const char **)argv, "kernel")) { whichKernel = getCmdLineArgumentInt(argc, (const char **)argv, "kernel"); } if (checkCmdLineFlag(argc, (const char **)argv, "maxblocks")) { maxBlocks = getCmdLineArgumentInt(argc, (const char **)argv, "maxblocks"); } printf("%d elements\n", size); printf("%d threads (max)\n", maxThreads); cpuFinalReduction = checkCmdLineFlag(argc, (const char **)argv, "cpufinal"); if (checkCmdLineFlag(argc, (const char **)argv, "cputhresh")) { cpuFinalThreshold = getCmdLineArgumentInt(argc, (const char **)argv, "cputhresh"); } bool runShmoo = checkCmdLineFlag(argc, (const char **)argv, "shmoo"); if (runShmoo) { shmoo(1, 33554432, maxThreads, maxBlocks, datatype); } else { // create random input data on CPU unsigned int bytes = size * sizeof(T); T *h_idata = (T *)malloc(bytes); for (int i = 0; i < size; i++) { // Keep the numbers small so we don't get truncation error in the sum if (datatype == REDUCE_INT) { h_idata[i] = (T)(rand() & 0xFF); } else { h_idata[i] = (rand() & 0xFF) / (T)RAND_MAX; } } int numBlocks = 0; int numThreads = 0; getNumBlocksAndThreads(whichKernel, size, maxBlocks, maxThreads, numBlocks, numThreads); if (numBlocks == 1) { cpuFinalThreshold = 1; } // allocate mem for the result on host side T *h_odata = (T *)malloc(numBlocks * sizeof(T)); printf("%d blocks\n\n", numBlocks); // allocate device memory and data T *d_idata = NULL; T *d_odata = NULL; checkCudaErrors(cudaMalloc((void **)&d_idata, bytes)); checkCudaErrors(cudaMalloc((void **)&d_odata, numBlocks * sizeof(T))); // copy data directly to device memory checkCudaErrors( cudaMemcpy(d_idata, h_idata, bytes, cudaMemcpyHostToDevice)); checkCudaErrors(cudaMemcpy(d_odata, h_idata, numBlocks * sizeof(T), cudaMemcpyHostToDevice)); // warm-up reduce(size, numThreads, numBlocks, whichKernel, d_idata, d_odata); int testIterations = 100; StopWatchInterface *timer = 0; sdkCreateTimer(&timer); T gpu_result = 0; gpu_result = benchmarkReduce(size, numThreads, numBlocks, maxThreads, maxBlocks, whichKernel, testIterations, cpuFinalReduction, cpuFinalThreshold, timer, h_odata, d_idata, d_odata); double reduceTime = sdkGetAverageTimerValue(&timer) * 1e-3; printf( "Reduction, Throughput = %.4f GB/s, Time = %.5f s, Size = %u Elements, " "NumDevsUsed = %d, Workgroup = %u\n", 1.0e-9 * ((double)bytes) / reduceTime, reduceTime, size, 1, numThreads); // compute reference solution T cpu_result = reduceCPU(h_idata, size); int precision = 0; double threshold = 0; double diff = 0; if (datatype == REDUCE_INT) { printf("\nGPU result = %d\n", (int)gpu_result); printf("CPU result = %d\n\n", (int)cpu_result); } else { if (datatype == REDUCE_FLOAT) { precision = 8; threshold = 1e-8 * size; } else { precision = 12; threshold = 1e-12 * size; } printf("\nGPU result = %.*f\n", precision, (double)gpu_result); printf("CPU result = %.*f\n\n", precision, (double)cpu_result); diff = fabs((double)gpu_result - (double)cpu_result); } // cleanup sdkDeleteTimer(&timer); free(h_idata); free(h_odata); checkCudaErrors(cudaFree(d_idata)); checkCudaErrors(cudaFree(d_odata)); if (datatype == REDUCE_INT) { return (gpu_result == cpu_result); } else { return (diff < threshold); } } return true; }