/* 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. */ /* Computation of eigenvalues of symmetric, tridiagonal matrix using * bisection. */ // includes, system #include #include #include #include #include #include // includes, project #include #include #include "config.h" #include "structs.h" #include "matlab.h" #include "util.h" #include "gerschgorin.h" #include "bisect_small.cuh" #include "bisect_large.cuh" //////////////////////////////////////////////////////////////////////////////// // declaration, forward bool runTest(int argc, char **argv); //////////////////////////////////////////////////////////////////////////////// // Program main //////////////////////////////////////////////////////////////////////////////// int main(int argc, char **argv) { bool bQAResults = false; printf("Starting eigenvalues\n"); bQAResults = runTest(argc, argv); printf("Test %s\n", bQAResults ? "Succeeded!" : "Failed!"); exit(bQAResults ? EXIT_SUCCESS : EXIT_FAILURE); } //////////////////////////////////////////////////////////////////////////////// //! Initialize the input data to the algorithm //! @param input handles to the input data //! @param exec_path path where executable is run (argv[0]) //! @param mat_size size of the matrix //! @param user_defined 1 if the matrix size has been requested by the user, //! 0 if the default size //////////////////////////////////////////////////////////////////////////////// void initInputData(InputData &input, char *exec_path, const unsigned int mat_size, const unsigned int user_defined) { // allocate memory input.a = (float *)malloc(sizeof(float) * mat_size); input.b = (float *)malloc(sizeof(float) * mat_size); if (1 == user_defined) { // initialize diagonal and superdiagonal entries with random values srand(278217421); // srand( clock()); for (unsigned int i = 0; i < mat_size; ++i) { input.a[i] = (float)(2.0 * (((double)rand() / (double)RAND_MAX) - 0.5)); input.b[i] = (float)(2.0 * (((double)rand() / (double)RAND_MAX) - 0.5)); } // the first element of s is used as padding on the device (thus the // whole vector is copied to the device but the kernels are launched // with (s+1) as start address input.b[0] = 0.0f; } else { // read default matrix unsigned int input_data_size = mat_size; char *diag_path = sdkFindFilePath("diagonal.dat", exec_path); assert(NULL != diag_path); sdkReadFile(diag_path, &(input.a), &input_data_size, false); char *sdiag_path = sdkFindFilePath("superdiagonal.dat", exec_path); assert(NULL != sdiag_path); sdkReadFile(sdiag_path, &(input.b), &input_data_size, false); free(diag_path); free(sdiag_path); } // allocate device memory for input checkCudaErrors(cudaMalloc((void **)&(input.g_a), sizeof(float) * mat_size)); checkCudaErrors( cudaMalloc((void **)&(input.g_b_raw), sizeof(float) * mat_size)); // copy data to device checkCudaErrors(cudaMemcpy(input.g_a, input.a, sizeof(float) * mat_size, cudaMemcpyHostToDevice)); checkCudaErrors(cudaMemcpy(input.g_b_raw, input.b, sizeof(float) * mat_size, cudaMemcpyHostToDevice)); input.g_b = input.g_b_raw + 1; } //////////////////////////////////////////////////////////////////////////////// //! Clean up input data, in particular allocated memory //! @param input handles to the input data //////////////////////////////////////////////////////////////////////////////// void cleanupInputData(InputData &input) { freePtr(input.a); freePtr(input.b); checkCudaErrors(cudaFree(input.g_a)); input.g_a = NULL; checkCudaErrors(cudaFree(input.g_b_raw)); input.g_b_raw = NULL; input.g_b = NULL; } //////////////////////////////////////////////////////////////////////////////// //! Check if a specific matrix size has to be used //! @param argc number of command line arguments (from main(argc, argv) //! @param argv pointers to command line arguments (from main(argc, argv) //! @param matrix_size size of matrix, updated if specific size specified on //! command line //////////////////////////////////////////////////////////////////////////////// void getMatrixSize(int argc, char **argv, unsigned int &mat_size, unsigned int &user_defined) { int temp = -1; if (checkCmdLineFlag(argc, (const char **)argv, "matrix-size")) { temp = getCmdLineArgumentInt(argc, (const char **)argv, "matrix-size"); } if (temp > 0) { mat_size = (unsigned int)temp; // data type short is used in the kernel assert(mat_size < (1 << 16)); // mat_size should be large than 2 assert(mat_size >= 2); user_defined = 1; } printf("Matrix size: %i x %i\n", mat_size, mat_size); } //////////////////////////////////////////////////////////////////////////////// //! Check if a specific precision of the eigenvalue has to be obtained //! @param argc number of command line arguments (from main(argc, argv) //! @param argv pointers to command line arguments (from main(argc, argv) //! @param iters_timing numbers of iterations for timing, updated if a //! specific number is specified on the command line //! @param user_defined 1 if the precision has been requested by the user, //! 0 if the default size //////////////////////////////////////////////////////////////////////////////// void getPrecision(int argc, char **argv, float &precision, unsigned int &user_defined) { float temp = -1.0f; if (checkCmdLineFlag(argc, (const char **)argv, "precision")) { temp = getCmdLineArgumentFloat(argc, (const char **)argv, "precision"); printf("Precision is between [0.001, 0.000001]\n"); } if (temp > 1e-6 && temp <= 0.001) { precision = temp; user_defined = 1; } printf("Precision: %f\n", precision); } //////////////////////////////////////////////////////////////////////////////// //! Check if a particular number of iterations for timings has to be used //! @param argc number of command line arguments (from main(argc, argv) //! @param argv pointers to command line arguments (from main(argc, argv) //! @param iters_timing number of timing iterations, updated if user //! specific value //////////////////////////////////////////////////////////////////////////////// void getItersTiming(int argc, char **argv, unsigned int &iters_timing) { int temp = -1; if (checkCmdLineFlag(argc, (const char **)argv, "iters-timing")) { temp = getCmdLineArgumentInt(argc, (const char **)argv, "iters-timing"); } if (temp > 0) { iters_timing = temp; } printf("Iterations to be timed: %i\n", iters_timing); } //////////////////////////////////////////////////////////////////////////////// //! Check if a particular filename has to be used for the file where the result //! is stored //! @param argc number of command line arguments (from main(argc, argv) //! @param argv pointers to command line arguments (from main(argc, argv) //! @param filename filename of result file, updated if user specified //! filename //////////////////////////////////////////////////////////////////////////////// void getResultFilename(int argc, char **argv, char *&filename) { char *temp = NULL; getCmdLineArgumentString(argc, (const char **)argv, "filename-result", &temp); if (NULL != temp) { filename = (char *)malloc(sizeof(char) * strlen(temp)); strcpy(filename, temp); free(temp); } printf("Result filename: '%s'\n", filename); } //////////////////////////////////////////////////////////////////////////////// //! Run a simple test for CUDA //////////////////////////////////////////////////////////////////////////////// bool runTest(int argc, char **argv) { bool bCompareResult = false; findCudaDevice(argc, (const char **)argv); StopWatchInterface *timer = NULL; StopWatchInterface *timer_total = NULL; sdkCreateTimer(&timer); sdkCreateTimer(&timer_total); // default unsigned int mat_size = 2048; // flag if the matrix size is due to explicit user request unsigned int user_defined = 0; // desired precision of eigenvalues float precision = 0.00001f; unsigned int iters_timing = 100; char *result_file = (char *)"eigenvalues.dat"; // check if there is a command line request for the matrix size getMatrixSize(argc, argv, mat_size, user_defined); // check if user requested specific precision getPrecision(argc, argv, precision, user_defined); // check if user requested specific number of iterations for timing getItersTiming(argc, argv, iters_timing); // file name for result file getResultFilename(argc, argv, result_file); // set up input InputData input; initInputData(input, argv[0], mat_size, user_defined); // compute Gerschgorin interval float lg = FLT_MAX; float ug = -FLT_MAX; computeGerschgorin(input.a, input.b + 1, mat_size, lg, ug); printf("Gerschgorin interval: %f / %f\n", lg, ug); // two kernels, for small matrices a lot of overhead can be avoided if (mat_size <= MAX_SMALL_MATRIX) { // initialize memory for result ResultDataSmall result; initResultSmallMatrix(result, mat_size); // run the kernel computeEigenvaluesSmallMatrix(input, result, mat_size, lg, ug, precision, iters_timing); // get the result from the device and do some sanity checks, // save the result processResultSmallMatrix(input, result, mat_size, result_file); // clean up cleanupResultSmallMatrix(result); printf("User requests non-default argument(s), skipping self-check!\n"); bCompareResult = true; } else { // initialize memory for result ResultDataLarge result; initResultDataLargeMatrix(result, mat_size); // run the kernel computeEigenvaluesLargeMatrix(input, result, mat_size, precision, lg, ug, iters_timing); // get the result from the device and do some sanity checks // save the result if user specified matrix size bCompareResult = processResultDataLargeMatrix( input, result, mat_size, result_file, user_defined, argv[0]); // cleanup cleanupResultDataLargeMatrix(result); } cleanupInputData(input); return bCompareResult; }