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Update matrix_multiplication
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@ -18,15 +18,15 @@ inline void gpuAssert(cudaError_t code, const char *file, int line, bool abort=t
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#ifdef __CUDACC__
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#ifdef __CUDACC__
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int i_div_up(int hostPtr, int b){
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int i_div_up(int a, int b) { // Partie entière supérieure de a/b
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return ((hostPtr % b) != 0) ? (hostPtr / b + 1) : (hostPtr / b);
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return ((a % b) != 0) ? (a / b + 1) : (a / b);
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}
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}
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__global__ void matrix_mul_kernel(float* Md, float* Nd, float* Pd, int n, int p, int q, size_t pitch_m, size_t pitch_n, size_t pitch_p) {
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__global__ void matrix_mul_kernel(float* Md, float* Nd, float* Pd, int p, size_t pitch_m, size_t pitch_n, size_t pitch_p) {
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// 2D Thread ID
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// 2D Thread ID
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int tx = blockIdx.x*blockDim.x + threadIdx.x;
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int tx = blockIdx.x*blockDim.x + threadIdx.x; // Indice de colonne
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int ty = blockIdx.y*blockDim.y + threadIdx.y;
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int ty = blockIdx.y*blockDim.y + threadIdx.y; // Indice de ligne
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// Pvalue stores the Pd element that is computed by the thread
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// Pvalue stores the Pd element that is computed by the thread
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float Pvalue = 0.;
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float Pvalue = 0.;
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float* M_offset;
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float* M_offset;
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@ -38,7 +38,7 @@ __global__ void matrix_mul_kernel(float* Md, float* Nd, float* Pd, int n, int p,
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Pvalue += M_offset[k] * N_offset[tx];
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Pvalue += M_offset[k] * N_offset[tx];
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}
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}
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// Write the matrix to device memory each thread writes one element
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// Écrire les résultats des calculs dans la matrice stockée sur le device
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float* P_offset = (float*)((char*)Pd + ty * pitch_p);
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float* P_offset = (float*)((char*)Pd + ty * pitch_p);
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P_offset[tx] = Pvalue;
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P_offset[tx] = Pvalue;
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}
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}
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@ -67,9 +67,9 @@ void matrix_multiplication_device(float** m1, float** m2, float** result, int n,
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// Traitement
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// Traitement
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dim3 gridSize(i_div_up(n, BLOCKSIZE_x), i_div_up(q, BLOCKSIZE_y));
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dim3 gridSize(i_div_up(n, BLOCKSIZE_x), i_div_up(q, BLOCKSIZE_y));
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dim3 blockSize(BLOCKSIZE_y, BLOCKSIZE_x);
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dim3 blockSize(BLOCKSIZE_x, BLOCKSIZE_y);
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matrix_mul_kernel<<<gridSize, blockSize>>>(m1_dev, m2_dev, result_dev, n, p, q, pitch_m1_dev, pitch_m2_dev, pitch_result_dev);
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matrix_mul_kernel<<<gridSize, blockSize>>>(m1_dev, m2_dev, result_dev, p, pitch_m1_dev, pitch_m2_dev, pitch_result_dev);
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gpuErrchk( cudaPeekAtLastError() );
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gpuErrchk( cudaPeekAtLastError() );
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gpuErrchk( cudaDeviceSynchronize() );
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gpuErrchk( cudaDeviceSynchronize() );
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@ -55,15 +55,26 @@ float** create_empty_matrix(int n, int p) {
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return matrix;
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return matrix;
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}
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}
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float max_float(float a, float b) {
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return a > b ? a : b;
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}
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bool check_matrices_equality(float** m1, float** m2, int n, int p) {
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bool check_matrices_equality(float** m1, float** m2, int n, int p) {
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float err_max = 0.;
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float err_moy = 0.;
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for (int i=0; i < n; i++) {
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for (int i=0; i < n; i++) {
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for (int j=0; j < p; j++) {
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for (int j=0; j < p; j++) {
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if (fabs(m1[i][j] - m2[i][j]) > 0.001) {
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if (fabs(m1[i][j] - m2[i][j]) > 0.8) {
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return false;
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//printf("%d %d\n", i, j);
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}
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//return false;
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}
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err_max = max_float(err_max, fabs(m1[i][j] - m2[i][j]));
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err_moy += fabs(m1[i][j] - m2[i][j]);
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}
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}
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}
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}
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printf("err_max: %f\n", err_max);
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printf("err_moy: %f\n", err_moy/(n*p));
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return true;
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return true;
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}
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}
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@ -83,16 +94,15 @@ int main() {
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printf("Generating matrices.\n");
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printf("Generating matrices.\n");
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srand(time(NULL));
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srand(time(NULL));
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int n = 3;
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int n = 200;
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int p = 3;
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int p = 1000;
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int q = 3;
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int q = 200;
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float** matrix1 = create_matrix(n, p);
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float** matrix1 = create_matrix(n, p);
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float** matrix2 = create_matrix(p, q);
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float** matrix2 = create_matrix(p, q);
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float** result_gpu = create_empty_matrix(n, q);
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float** result_gpu = create_empty_matrix(n, q);
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float** result_cpu = create_empty_matrix(n, q);
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float** result_cpu = create_empty_matrix(n, q);
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printf("OK\n");
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printf("OK\n");
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printf("Computing on GPU.\n");
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printf("Computing on GPU.\n");
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start = clock();
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start = clock();
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matrix_multiplication_device(matrix1, matrix2, result_gpu, n, p, q);
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matrix_multiplication_device(matrix1, matrix2, result_gpu, n, p, q);
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@ -102,10 +112,9 @@ int main() {
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printf("Time used for GPU: %lf seconds\n", cpu_time_used);
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printf("Time used for GPU: %lf seconds\n", cpu_time_used);
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printf("OK\n");
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printf("OK\n");
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printf("Computing on CPU.\n");
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printf("Computing on CPU.\n");
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start = clock();
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start = clock();
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matrix_multiplication_host(matrix1, matrix2, result_gpu, n, p, q);
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matrix_multiplication_host(matrix1, matrix2, result_cpu, n, p, q);
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end = clock();
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end = clock();
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cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
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cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
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@ -121,3 +130,9 @@ int main() {
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return 0;
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return 0;
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}
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}
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// On obtient une différence entre le calcul fait par le GPU et par le CPU.
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// Cette différence est linéaire en p. (err_moy = p*1.639e-6)
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// Elle ne varie pas en fonction de n et q.
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// Cette erreur est sûrement dûe à différences mineurs dans la précision du stockage des flottants
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// Dans la mémoire RAM et VRAM (du GPU)
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