/* 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 a small symmetric, tridiagonal matrix */ // includes, system #include #include #include #include #include // includes, project #include "helper_functions.h" #include "helper_cuda.h" #include "config.h" #include "structs.h" #include "matlab.h" // includes, kernels #include "bisect_kernel_small.cuh" // includes, file #include "bisect_small.cuh" //////////////////////////////////////////////////////////////////////////////// //! Determine eigenvalues for matrices smaller than MAX_SMALL_MATRIX //! @param TimingIterations number of iterations for timing //! @param input handles to input data of kernel //! @param result handles to result of kernel //! @param mat_size matrix size //! @param lg lower limit of Gerschgorin interval //! @param ug upper limit of Gerschgorin interval //! @param precision desired precision of eigenvalues //! @param iterations number of iterations for timing //////////////////////////////////////////////////////////////////////////////// void computeEigenvaluesSmallMatrix(const InputData &input, ResultDataSmall &result, const unsigned int mat_size, const float lg, const float ug, const float precision, const unsigned int iterations) { StopWatchInterface *timer = NULL; sdkCreateTimer(&timer); sdkStartTimer(&timer); for (unsigned int i = 0; i < iterations; ++i) { dim3 blocks(1, 1, 1); dim3 threads(MAX_THREADS_BLOCK_SMALL_MATRIX, 1, 1); bisectKernel<<>>(input.g_a, input.g_b, mat_size, result.g_left, result.g_right, result.g_left_count, result.g_right_count, lg, ug, 0, mat_size, precision); } checkCudaErrors(cudaDeviceSynchronize()); sdkStopTimer(&timer); getLastCudaError("Kernel launch failed"); printf("Average time: %f ms (%i iterations)\n", sdkGetTimerValue(&timer) / (float)iterations, iterations); sdkDeleteTimer(&timer); } //////////////////////////////////////////////////////////////////////////////// //! Initialize variables and memory for the result for small matrices //! @param result handles to the necessary memory //! @param mat_size matrix_size //////////////////////////////////////////////////////////////////////////////// void initResultSmallMatrix(ResultDataSmall &result, const unsigned int mat_size) { result.mat_size_f = sizeof(float) * mat_size; result.mat_size_ui = sizeof(unsigned int) * mat_size; result.eigenvalues = (float *)malloc(result.mat_size_f); // helper variables result.zero_f = (float *)malloc(result.mat_size_f); result.zero_ui = (unsigned int *)malloc(result.mat_size_ui); for (unsigned int i = 0; i < mat_size; ++i) { result.zero_f[i] = 0.0f; result.zero_ui[i] = 0; result.eigenvalues[i] = 0.0f; } checkCudaErrors(cudaMalloc((void **)&result.g_left, result.mat_size_f)); checkCudaErrors(cudaMalloc((void **)&result.g_right, result.mat_size_f)); checkCudaErrors( cudaMalloc((void **)&result.g_left_count, result.mat_size_ui)); checkCudaErrors( cudaMalloc((void **)&result.g_right_count, result.mat_size_ui)); // initialize result memory checkCudaErrors(cudaMemcpy(result.g_left, result.zero_f, result.mat_size_f, cudaMemcpyHostToDevice)); checkCudaErrors(cudaMemcpy(result.g_right, result.zero_f, result.mat_size_f, cudaMemcpyHostToDevice)); checkCudaErrors(cudaMemcpy(result.g_right_count, result.zero_ui, result.mat_size_ui, cudaMemcpyHostToDevice)); checkCudaErrors(cudaMemcpy(result.g_left_count, result.zero_ui, result.mat_size_ui, cudaMemcpyHostToDevice)); } //////////////////////////////////////////////////////////////////////////////// //! Cleanup memory and variables for result for small matrices //! @param result handle to variables //////////////////////////////////////////////////////////////////////////////// void cleanupResultSmallMatrix(ResultDataSmall &result) { freePtr(result.eigenvalues); freePtr(result.zero_f); freePtr(result.zero_ui); checkCudaErrors(cudaFree(result.g_left)); checkCudaErrors(cudaFree(result.g_right)); checkCudaErrors(cudaFree(result.g_left_count)); checkCudaErrors(cudaFree(result.g_right_count)); } //////////////////////////////////////////////////////////////////////////////// //! Process the result obtained on the device, that is transfer to host and //! perform basic sanity checking //! @param input handles to input data //! @param result handles to result data //! @param mat_size matrix size //! @param filename output filename //////////////////////////////////////////////////////////////////////////////// void processResultSmallMatrix(const InputData &input, const ResultDataSmall &result, const unsigned int mat_size, const char *filename) { const unsigned int mat_size_f = sizeof(float) * mat_size; const unsigned int mat_size_ui = sizeof(unsigned int) * mat_size; // copy data back to host float *left = (float *)malloc(mat_size_f); unsigned int *left_count = (unsigned int *)malloc(mat_size_ui); checkCudaErrors( cudaMemcpy(left, result.g_left, mat_size_f, cudaMemcpyDeviceToHost)); checkCudaErrors(cudaMemcpy(left_count, result.g_left_count, mat_size_ui, cudaMemcpyDeviceToHost)); float *eigenvalues = (float *)malloc(mat_size_f); for (unsigned int i = 0; i < mat_size; ++i) { eigenvalues[left_count[i]] = left[i]; } // save result in matlab format writeTridiagSymMatlab(filename, input.a, input.b + 1, eigenvalues, mat_size); freePtr(left); freePtr(left_count); freePtr(eigenvalues); }