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#include <stdio.h>
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#include <stdlib.h>
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#include <math.h>
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#include <float.h>
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#include <string.h>
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#include "meanshift_utils.h"
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#include "meanshift_kernels.h"
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#define OUTPUT_PREFIX "../output/output_"
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cudaDeviceProp device_properties;
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void get_args(int argc, char **argv, parameters *params){
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if (argc < 7) {
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printf("Usage: %s h e N D Pd Pl\nwhere:\n"
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"\th is the variance\n"
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"\te is the min distance, between two points, that is taken into account in computations\n"
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"\tN is the the number of points\n"
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"\tD is the number of dimensions of each point\n"
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"\tPd is the path of the dataset file\n"
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"\tPl is the path of the labels file\n"
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"\n\t--verbose | -v is an optional flag to enable execution information output"
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"\n\t--output | -o is an optional flag to enable points output in each iteration", argv[0]);
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exit(1);
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}
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DEVIATION = atoi(argv[1]);
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params->epsilon = atof(argv[2]);
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NUMBER_OF_POINTS = atoi(argv[3]);
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DIMENSIONS = atoi(argv[4]);
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POINTS_FILENAME = argv[5];
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LABELS_FILENAME = argv[6];
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params->verbose = false;
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params->display = false;
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if (argc > 7){
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for (int index=7; index<argc; ++index){
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if (!strcmp(argv[index], "--verbose") || !strcmp(argv[index], "-v")){
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params->verbose = true;
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} else if (!strcmp(argv[index], "--output") || !strcmp(argv[index], "-o")){
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params->display = true;
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} else {
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printf("Couldn't parse argument %d: %s\n", index, argv[index]);
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exit(EXIT_FAILURE);
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}
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}
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}
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/*printf("DEVIATION = %d\n"
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"epsilon = %f\n"
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"NUMBER_OF_POINTS = %d\n"
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"DIMENSIONS = %d\n"
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"POINTS_FILENAME = %s\n"
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"LABELS_FILENAME = %s\n"
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"verbose = %d\n"
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"display = %d\n", DEVIATION, params->epsilon, NUMBER_OF_POINTS, DIMENSIONS, POINTS_FILENAME
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, LABELS_FILENAME, params->verbose, params->display);*/
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}
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void init(double ***vectors, char **labels){
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int bytes_read = 0;
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set_Gpu();
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if (params.verbose){
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printf("Reading dataset and labels...\n");
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}
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// initializes vectors
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FILE *points_file;
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points_file = fopen(POINTS_FILENAME, "rb");
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if (points_file != NULL){
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// allocates memory for the array
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(*vectors) = alloc_2d_double(NUMBER_OF_POINTS, DIMENSIONS);
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// reads vectors dataset from file
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for (int i=0; i<NUMBER_OF_POINTS; i++){
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bytes_read = fread((*vectors)[i], sizeof(double), DIMENSIONS, points_file);
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if ( bytes_read != DIMENSIONS ){
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if(feof(points_file)){
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printf("Premature end of file reached.\n");
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} else{
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printf("Error reading points file.");
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}
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fclose(points_file);
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exit(EXIT_FAILURE);
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}
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}
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} else {
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printf("Error reading dataset file.\n");
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exit(EXIT_FAILURE);
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}
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fclose(points_file);
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// initializes file that will contain the labels (train)
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FILE *labels_file;
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labels_file = fopen(LABELS_FILENAME, "rb");
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if (labels_file != NULL){
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// NOTE : Labels were classified as <class 'numpy.uint8'>
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// variables of type uint8 are stored as 1-byte (8-bit) unsigned integers
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// gets number of labels
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fseek(labels_file, 0L, SEEK_END);
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long int pos = ftell(labels_file);
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rewind(labels_file);
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int label_elements = pos/ sizeof(char);
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// allocates memory for the array
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*labels = (char*)malloc(label_elements* sizeof(char));
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fseek(labels_file, 0L, SEEK_SET);
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bytes_read = fread((*labels), sizeof(char), label_elements, labels_file);
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if ( bytes_read != label_elements ){
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if(feof(points_file)){
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printf("Premature end of file reached.\n");
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} else{
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printf("Error reading points file.");
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}
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fclose(labels_file);
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exit(EXIT_FAILURE);
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}
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}
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fclose(labels_file);
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if (params.verbose){
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printf("Done.\n\n");
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}
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}
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//Based on https://stackoverflow.com/a/28113186
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//Poio psagmeno link https://www.cs.virginia.edu/~csadmin/wiki/index.php/CUDA_Support/Choosing_a_GPU
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void set_Gpu(){
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int devices_count = 0, max_multiprocessors = 0, max_device = 0;
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// gets devices count checking for errors like no devices or no drivers to check for
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// devices available
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gpuErrchk( cudaGetDeviceCount(&devices_count) );
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for(int device_index = 0; device_index < devices_count; ++device_index){
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// gets current index device's properties
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cudaDeviceProp this_device_properties;
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gpuErrchk( cudaGetDeviceProperties(&this_device_properties, device_index) );
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// stores best available device's index
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// only devices with compute capability >= 2.0 are able to run the code
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if (max_multiprocessors < this_device_properties.multiProcessorCount
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&& this_device_properties.major >= 2 && this_device_properties.minor >= 0){
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// stores devices properties for later use
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device_properties = this_device_properties;
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max_multiprocessors = this_device_properties.multiProcessorCount;
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max_device = device_index;
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}
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}
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// sets the device
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gpuErrchk( cudaSetDevice(max_device) );
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if (params.verbose){
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printf("Device chosen is \"%s\"\n"
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"Device has %d multi processors and compute capability %d.%d\n"
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"Max threads per block supported are %d\n\n"
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, device_properties.name
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, device_properties.multiProcessorCount, device_properties.major, device_properties.minor
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, device_properties.maxThreadsPerBlock);
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}
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}
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int meanshift(double **original_points, double ***shifted_points, int deviation
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, parameters *opt){
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static int iteration = 0;
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static double **mean_shift_vector, **kernel_matrix, *denominator;
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// allocates memory and copies original points on first iteration
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if (iteration == 0 || (*shifted_points) == NULL){
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(*shifted_points) = alloc_2d_double(NUMBER_OF_POINTS, DIMENSIONS);
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duplicate(original_points, NUMBER_OF_POINTS, DIMENSIONS, shifted_points);
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// allocates memory for mean shift vector
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mean_shift_vector = alloc_2d_double(NUMBER_OF_POINTS, DIMENSIONS);
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// initializes elements of mean_shift_vector to inf
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for (int i=0;i<NUMBER_OF_POINTS;i++){
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for (int j=0;j<DIMENSIONS;j++){
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mean_shift_vector[i][j] = DBL_MAX;
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}
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}
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// allocates memory for other arrays needed
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kernel_matrix = alloc_2d_double(NUMBER_OF_POINTS, NUMBER_OF_POINTS);
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denominator = (double *)malloc(NUMBER_OF_POINTS * sizeof(double));
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}
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// TODO move arrays to device and create global kernel for the iteration
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// finds pairwise distance matrix (inside radius)
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// [I, D] = rangesearch(x,y,h);
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calculate_kernel_matrix((*shifted_points), original_points, deviation, &kernel_matrix);
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// // calculate denominator
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// for (int i=0; i<NUMBER_OF_POINTS; i++){
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// double sum = 0;
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// for (int j=0; j<NUMBER_OF_POINTS; j++){
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// sum = sum + kernel_matrix[i][j];
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// }
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// denominator[i] = sum;
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// }
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denominator = calculate_denominator(kernel_matrix);
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// creates new y vector
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double **new_shift = alloc_2d_double(NUMBER_OF_POINTS, DIMENSIONS);
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// builds nominator
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multiply(kernel_matrix, original_points, &new_shift);
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// divides element-wise
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for (int i=0; i<NUMBER_OF_POINTS; i++){
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for (int j=0; j<DIMENSIONS; j++){
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new_shift[i][j] = new_shift[i][j] / denominator[i];
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// calculates mean-shift vector at the same time
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mean_shift_vector[i][j] = new_shift[i][j] - (*shifted_points)[i][j];
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}
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}
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// frees previously shifted points, they're now garbage
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free((*shifted_points)[0]);
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// updates shifted points pointer to the new array address
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shifted_points = &new_shift;
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if (params.display){
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save_matrix((*shifted_points), iteration);
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}
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// calculates norm of the new mean shift vector
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double current_norm = norm(mean_shift_vector, NUMBER_OF_POINTS, DIMENSIONS);
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if (params.verbose){
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printf("Iteration n. %d, error %f \n", iteration, current_norm);
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}
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/** iterates until convergence **/
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if (current_norm > opt->epsilon) {
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++iteration;
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meanshift(original_points, shifted_points, deviation, opt);
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}
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if (iteration == 0){
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// cleans up allocations
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free(mean_shift_vector[0]);
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free(mean_shift_vector);
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free(kernel_matrix[0]);
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free(kernel_matrix);
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free(denominator);
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}
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return iteration;
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}
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double norm(double **matrix, int rows, int cols){
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double sum=0, temp_mul=0;
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for (int i=0; i<rows; i++) {
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for (int j=0; j<cols; j++) {
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temp_mul = matrix[i][j] * matrix[i][j];
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sum = sum + temp_mul;
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}
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}
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double norm = sqrt(sum);
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return norm;
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}
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void calculate_kernel_matrix(double **shifted_points, double **original_points, double deviation
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, double ***kernel_matrix){
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static bool first_iter = true;
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// allocates memory for shifted_points in GPU and copies the array
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Matrix d_shifted_points;
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d_shifted_points.width = DIMENSIONS;
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d_shifted_points.height = NUMBER_OF_POINTS;
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int size = DIMENSIONS * NUMBER_OF_POINTS * sizeof(double);
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gpuErrchk( cudaMalloc(&d_shifted_points.elements, size) );
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gpuErrchk( cudaMemcpy(d_shifted_points.elements, &(shifted_points[0][0])
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, size, cudaMemcpyHostToDevice) );
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// allocates memory for original_points in GPU and copies the array
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Matrix d_original_points;
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d_original_points.width = DIMENSIONS;
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d_original_points.height = NUMBER_OF_POINTS;
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size = NUMBER_OF_POINTS * DIMENSIONS * sizeof(double);
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gpuErrchk( cudaMalloc(&d_original_points.elements, size) );
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gpuErrchk( cudaMemcpy(d_original_points.elements, &(original_points[0][0])
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, size, cudaMemcpyHostToDevice) );
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// allocates memory for kernel_matrix in GPU
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Matrix d_kernel_matrix;
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d_kernel_matrix.width = NUMBER_OF_POINTS;
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d_kernel_matrix.height = NUMBER_OF_POINTS;
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size = NUMBER_OF_POINTS * NUMBER_OF_POINTS * sizeof(double);
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gpuErrchk( cudaMalloc(&d_kernel_matrix.elements, size) );
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// get max sizes supported from the device
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int max_block_size = (int)sqrt(device_properties.maxThreadsPerBlock);
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int requested_block_size = max_block_size;
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bool block_size_too_big = true;
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dim3 dimBlock;
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dim3 dimGrid;
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do {
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dimBlock.x = requested_block_size;
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dimBlock.y = requested_block_size;
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dimGrid.x = (d_kernel_matrix.height + dimBlock.x - 1) / dimBlock.x;
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dimGrid.y = (d_kernel_matrix.width + dimBlock.y - 1) / dimBlock.y;
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calculate_kernel_matrix_kernel<<<dimGrid, dimBlock>>>(d_shifted_points, d_original_points
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, deviation, d_kernel_matrix);
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if (cudaGetLastError() != cudaSuccess){
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--requested_block_size;
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} else {
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block_size_too_big = false;
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gpuErrchk( cudaDeviceSynchronize() );
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}
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} while(block_size_too_big);
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if (first_iter && params.verbose){
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printf("calculate_kernel_matrix_kernel called with:\n");
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printf("dimBlock.x = %d, dimBlock.y = %d\n", dimBlock.x, dimBlock.y);
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printf("dimGrid.x = %d, dimGrid.y = %d\n\n", dimGrid.x, dimGrid.y);
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first_iter = false;
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}
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size = NUMBER_OF_POINTS * NUMBER_OF_POINTS * sizeof(double);
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gpuErrchk( cudaMemcpy(&((*kernel_matrix)[0][0]), d_kernel_matrix.elements
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, size, cudaMemcpyDeviceToHost) );
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gpuErrchk( cudaFree(d_shifted_points.elements) );
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gpuErrchk( cudaFree(d_original_points.elements) );
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gpuErrchk( cudaFree(d_kernel_matrix.elements) );
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}
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void multiply(double **kernel_matrix, double **original_points, double ***new_shift){
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static bool first_iter = true;
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// allocates memory for kernel_matrix in GPU and copies the array
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Matrix d_kernel_matrix;
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d_kernel_matrix.width = NUMBER_OF_POINTS;
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d_kernel_matrix.height = NUMBER_OF_POINTS;
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int size = NUMBER_OF_POINTS * NUMBER_OF_POINTS * sizeof(double);
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gpuErrchk( cudaMalloc(&d_kernel_matrix.elements, size) );
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gpuErrchk( cudaMemcpy(d_kernel_matrix.elements, &(kernel_matrix[0][0])
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, size, cudaMemcpyHostToDevice) );
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// allocates memory for original_points in GPU and copies the array
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Matrix d_original_points;
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d_original_points.width = DIMENSIONS;
|
|
|
|
d_original_points.height = NUMBER_OF_POINTS;
|
|
|
|
size = NUMBER_OF_POINTS * DIMENSIONS * sizeof(double);
|
|
|
|
gpuErrchk( cudaMalloc(&d_original_points.elements, size) );
|
|
|
|
gpuErrchk( cudaMemcpy(d_original_points.elements, &(original_points[0][0])
|
|
|
|
, size, cudaMemcpyHostToDevice) );
|
|
|
|
|
|
|
|
// allocates memory for new_shift in GPU
|
|
|
|
Matrix d_new_shift;
|
|
|
|
d_new_shift.width = DIMENSIONS;
|
|
|
|
d_new_shift.height = NUMBER_OF_POINTS;
|
|
|
|
size = NUMBER_OF_POINTS * DIMENSIONS * sizeof(double);
|
|
|
|
gpuErrchk( cudaMalloc(&d_new_shift.elements, size) );
|
|
|
|
|
|
|
|
// get max sizes supported from the device
|
|
|
|
int max_block_size = device_properties.maxThreadsPerBlock;
|
|
|
|
dim3 dimBlock((d_new_shift.height < sqrt(max_block_size)) ? d_new_shift.height : sqrt(max_block_size)
|
|
|
|
, (d_new_shift.width < sqrt(max_block_size)) ? d_new_shift.width : sqrt(max_block_size));
|
|
|
|
dim3 dimGrid((d_new_shift.height + dimBlock.x - 1) / dimBlock.x
|
|
|
|
, (d_new_shift.width + dimBlock.y - 1) / dimBlock.y);
|
|
|
|
|
|
|
|
if (first_iter && params.verbose){
|
|
|
|
printf("multiply_kernel called with:\n");
|
|
|
|
printf("dimBlock.x = %d, dimBlock.y = %d\n", dimBlock.x, dimBlock.y);
|
|
|
|
printf("dimGrid.x = %d, dimGrid.y = %d\n\n", dimGrid.x, dimGrid.y);
|
|
|
|
first_iter = false;
|
|
|
|
}
|
|
|
|
|
|
|
|
multiply_kernel<<<dimGrid, dimBlock>>>(d_kernel_matrix, d_original_points, d_new_shift);
|
|
|
|
gpuErrchk( cudaPeekAtLastError() );
|
|
|
|
gpuErrchk( cudaDeviceSynchronize() );
|
|
|
|
|
|
|
|
size = NUMBER_OF_POINTS * DIMENSIONS * sizeof(double);
|
|
|
|
gpuErrchk( cudaMemcpy(&((*new_shift)[0][0]), d_new_shift.elements
|
|
|
|
, size, cudaMemcpyDeviceToHost) );
|
|
|
|
|
|
|
|
gpuErrchk( cudaFree(d_kernel_matrix.elements) );
|
|
|
|
gpuErrchk( cudaFree(d_original_points.elements) );
|
|
|
|
gpuErrchk( cudaFree(d_new_shift.elements) );
|
|
|
|
}
|
|
|
|
|
|
|
|
double calculateDistance(double *y, double *x){
|
|
|
|
double sum = 0, dif;
|
|
|
|
for (int i=0; i<DIMENSIONS; i++){
|
|
|
|
dif = y[i]-x[i];
|
|
|
|
sum += dif * dif;
|
|
|
|
}
|
|
|
|
double distance = sqrt(sum);
|
|
|
|
return distance;
|
|
|
|
}
|
|
|
|
|
|
|
|
double **alloc_2d_double(int rows, int cols) {
|
|
|
|
double *data = (double *) malloc(rows*cols*sizeof(double));
|
|
|
|
double **array = (double **) malloc(rows*sizeof(double*));
|
|
|
|
for (int i=0; i<rows; i++)
|
|
|
|
array[i] = &(data[cols*i]);
|
|
|
|
return array;
|
|
|
|
}
|
|
|
|
|
|
|
|
void duplicate(double **source, int rows, int cols, double ***dest){
|
|
|
|
for (int i=0; i<rows; i++){
|
|
|
|
for (int j=0; j<cols; j++){
|
|
|
|
(*dest)[i][j] = source[i][j];
|
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void print_matrix(double **array, int rows, int cols){
|
|
|
|
for (int i=0; i<cols; i++){
|
|
|
|
for (int j=0; j<rows; j++){
|
|
|
|
printf("%f ", array[j][i]);
|
|
|
|
}
|
|
|
|
printf("\n");
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
void save_matrix(double **matrix, int iteration){
|
|
|
|
char filename[50];
|
|
|
|
snprintf(filename, sizeof(filename), "%s%d", "../output/output_", iteration);
|
|
|
|
FILE *file;
|
|
|
|
file = fopen(filename, "w");
|
|
|
|
for (int rows=0; rows<NUMBER_OF_POINTS; ++rows){
|
|
|
|
for (int cols=0; cols<DIMENSIONS; ++cols){
|
|
|
|
fprintf(file, "%f", matrix[rows][cols]);
|
|
|
|
if (cols != DIMENSIONS - 1){
|
|
|
|
fprintf(file, ",");
|
|
|
|
}
|
|
|
|
}
|
|
|
|
fprintf(file, "\n");
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
double * calculate_denominator(double **kernel_matrix){
|
|
|
|
static bool first_iter = true;
|
|
|
|
|
|
|
|
// allocates memory for denominator_matrix in GPU
|
|
|
|
Matrix d_denominator_matrix;
|
|
|
|
d_denominator_matrix.width = NUMBER_OF_POINTS;
|
|
|
|
d_denominator_matrix.height = 1;
|
|
|
|
int size = NUMBER_OF_POINTS * sizeof(double);
|
|
|
|
gpuErrchk( cudaMalloc(&d_denominator_matrix.elements, size) );
|
|
|
|
|
|
|
|
// allocates memory for kernel_matrix in GPU and copies the array
|
|
|
|
Matrix d_kernel_matrix;
|
|
|
|
d_kernel_matrix.width = NUMBER_OF_POINTS;
|
|
|
|
d_kernel_matrix.height = NUMBER_OF_POINTS;
|
|
|
|
size = NUMBER_OF_POINTS * NUMBER_OF_POINTS * sizeof(double);
|
|
|
|
gpuErrchk( cudaMalloc(&d_kernel_matrix.elements, size) );
|
|
|
|
gpuErrchk( cudaMemcpy(d_kernel_matrix.elements, &(kernel_matrix[0][0])
|
|
|
|
, size, cudaMemcpyHostToDevice) );
|
|
|
|
|
|
|
|
// get max sizes supported from the device
|
|
|
|
int max_block_size = device_properties.maxThreadsPerBlock;
|
|
|
|
dim3 dimBlock((d_denominator_matrix.height < sqrt(max_block_size)) ? d_denominator_matrix.height : sqrt(max_block_size)
|
|
|
|
, (d_denominator_matrix.width < sqrt(max_block_size)) ? d_denominator_matrix.width : sqrt(max_block_size));
|
|
|
|
dim3 dimGrid((d_denominator_matrix.height + dimBlock.x - 1) / dimBlock.x
|
|
|
|
, (d_denominator_matrix.width + dimBlock.y - 1) / dimBlock.y);
|
|
|
|
|
|
|
|
if (first_iter && params.verbose){
|
|
|
|
printf("calculate_denominator called with:\n");
|
|
|
|
printf("dimBlock.x = %d, dimBlock.y = %d\n", dimBlock.x, dimBlock.y);
|
|
|
|
printf("dimGrid.x = %d, dimGrid.y = %d\n\n", dimGrid.x, dimGrid.y);
|
|
|
|
first_iter = false;
|
|
|
|
}
|
|
|
|
|
|
|
|
denominator_kernel<<<dimGrid, dimBlock>>>(d_denominator_matrix, d_kernel_matrix);
|
|
|
|
gpuErrchk( cudaPeekAtLastError() );
|
|
|
|
gpuErrchk( cudaDeviceSynchronize() );
|
|
|
|
|
|
|
|
|
|
|
|
size = NUMBER_OF_POINTS * sizeof(double);
|
|
|
|
double * denominator = malloc(size);
|
|
|
|
gpuErrchk( cudaMemcpy(&((*denominator)[0]), d_denominator_matrix.elements
|
|
|
|
,size, cudaMemcpyDeviceToHost) );
|
|
|
|
|
|
|
|
gpuErrchk( cudaFree(d_kernel_matrix.elements) );
|
|
|
|
gpuErrchk( cudaFree(d_denominator_matrix.elements) );
|
|
|
|
|
|
|
|
return denominator;
|
|
|
|
}
|