| /** |
| * covariance.c: This file is part of the PolyBench/C 3.2 test suite. |
| * |
| * |
| * Contact: Louis-Noel Pouchet <pouchet@cse.ohio-state.edu> |
| * Web address: http://polybench.sourceforge.net |
| */ |
| #include <stdio.h> |
| #include <unistd.h> |
| #include <string.h> |
| #include <math.h> |
| |
| /* Include polybench common header. */ |
| #include "../../utilities/polybench.h" |
| |
| /* Include benchmark-specific header. */ |
| /* Default data type is double, default size is 4000. */ |
| #include "covariance.h" |
| |
| |
| /* Array initialization. */ |
| static |
| void init_array (int m, int n, |
| DATA_TYPE *float_n, |
| DATA_TYPE POLYBENCH_2D(data,M,N,m,n)) |
| { |
| #pragma STDC FP_CONTRACT OFF |
| int i, j; |
| |
| *float_n = 1.2; |
| |
| for (i = 0; i < M; i++) |
| for (j = 0; j < N; j++) |
| data[i][j] = ((DATA_TYPE) i*j) / M; |
| } |
| |
| |
| /* DCE code. Must scan the entire live-out data. |
| Can be used also to check the correctness of the output. */ |
| static |
| void print_array(int m, |
| DATA_TYPE POLYBENCH_2D(symmat,M,M,m,m)) |
| |
| { |
| int i, j; |
| char *printmat = malloc(m*16 + 1); printmat[m*16] = 0; |
| |
| for (i = 0; i < m; i++) { |
| for (j = 0; j < m; j++) |
| print_element(symmat[i][j], j*16, printmat); |
| fputs(printmat, stderr); |
| } |
| free(printmat); |
| } |
| |
| |
| /* Main computational kernel. The whole function will be timed, |
| including the call and return. */ |
| static |
| void kernel_covariance(int m, int n, |
| DATA_TYPE float_n, |
| DATA_TYPE POLYBENCH_2D(data,M,N,m,n), |
| DATA_TYPE POLYBENCH_2D(symmat,M,M,m,m), |
| DATA_TYPE POLYBENCH_1D(mean,M,m)) |
| { |
| int i, j, j1, j2; |
| |
| #pragma scop |
| /* Determine mean of column vectors of input data matrix */ |
| for (j = 0; j < _PB_M; j++) |
| { |
| mean[j] = 0.0; |
| for (i = 0; i < _PB_N; i++) |
| mean[j] += data[i][j]; |
| mean[j] /= float_n; |
| } |
| |
| /* Center the column vectors. */ |
| for (i = 0; i < _PB_N; i++) |
| for (j = 0; j < _PB_M; j++) |
| data[i][j] -= mean[j]; |
| |
| /* Calculate the m * m covariance matrix. */ |
| for (j1 = 0; j1 < _PB_M; j1++) |
| for (j2 = j1; j2 < _PB_M; j2++) |
| { |
| symmat[j1][j2] = 0.0; |
| for (i = 0; i < _PB_N; i++) |
| symmat[j1][j2] += data[i][j1] * data[i][j2]; |
| symmat[j2][j1] = symmat[j1][j2]; |
| } |
| #pragma endscop |
| |
| } |
| |
| static void |
| kernel_covariance_StrictFP(int m, int n, |
| DATA_TYPE float_n, |
| DATA_TYPE POLYBENCH_2D(data,M,N,m,n), |
| DATA_TYPE POLYBENCH_2D(symmat,M,M,m,m), |
| DATA_TYPE POLYBENCH_1D(mean,M,m)) |
| { |
| #pragma STDC FP_CONTRACT OFF |
| int i, j, j1, j2; |
| |
| /* Determine mean of column vectors of input data matrix */ |
| for (j = 0; j < _PB_M; j++) |
| { |
| mean[j] = 0.0; |
| for (i = 0; i < _PB_N; i++) |
| mean[j] += data[i][j]; |
| mean[j] /= float_n; |
| } |
| |
| /* Center the column vectors. */ |
| for (i = 0; i < _PB_N; i++) |
| for (j = 0; j < _PB_M; j++) |
| data[i][j] -= mean[j]; |
| |
| /* Calculate the m * m covariance matrix. */ |
| for (j1 = 0; j1 < _PB_M; j1++) |
| for (j2 = j1; j2 < _PB_M; j2++) |
| { |
| symmat[j1][j2] = 0.0; |
| for (i = 0; i < _PB_N; i++) |
| symmat[j1][j2] += data[i][j1] * data[i][j2]; |
| symmat[j2][j1] = symmat[j1][j2]; |
| } |
| } |
| |
| /* Return 0 when one of the elements of arrays A and B do not match within the |
| allowed FP_ABSTOLERANCE. Return 1 when all elements match. */ |
| static inline int |
| check_FP(int m, |
| DATA_TYPE POLYBENCH_2D(A,M,M,m,m), |
| DATA_TYPE POLYBENCH_2D(B,M,M,m,m)) { |
| int i, j; |
| double AbsTolerance = FP_ABSTOLERANCE; |
| for (i = 0; i < _PB_M; i++) |
| for (j = 0; j < _PB_M; j++) |
| { |
| double V1 = A[i][j]; |
| double V2 = B[i][j]; |
| double Diff = fabs(V1 - V2); |
| if (Diff > AbsTolerance) { |
| fprintf(stderr, "A[%d][%d] = %lf and B[%d][%d] = %lf differ more than" |
| " FP_ABSTOLERANCE = %lf\n", i, j, V1, i, j, V2, AbsTolerance); |
| return 0; |
| } |
| } |
| |
| /* All elements are within the allowed FP_ABSTOLERANCE error margin. */ |
| return 1; |
| } |
| |
| int main(int argc, char** argv) |
| { |
| /* Retrieve problem size. */ |
| int n = N; |
| int m = M; |
| |
| /* Variable declaration/allocation. */ |
| DATA_TYPE float_n; |
| POLYBENCH_2D_ARRAY_DECL(data,DATA_TYPE,M,N,m,n); |
| POLYBENCH_2D_ARRAY_DECL(symmat,DATA_TYPE,M,M,m,m); |
| POLYBENCH_2D_ARRAY_DECL(symmat_StrictFP,DATA_TYPE,M,M,m,m); |
| POLYBENCH_1D_ARRAY_DECL(mean,DATA_TYPE,M,m); |
| |
| |
| /* Initialize array(s). */ |
| init_array (m, n, &float_n, POLYBENCH_ARRAY(data)); |
| |
| /* Start timer. */ |
| polybench_start_instruments; |
| |
| /* Run kernel. */ |
| kernel_covariance (m, n, float_n, |
| POLYBENCH_ARRAY(data), |
| POLYBENCH_ARRAY(symmat), |
| POLYBENCH_ARRAY(mean)); |
| |
| /* Stop and print timer. */ |
| polybench_stop_instruments; |
| polybench_print_instruments; |
| |
| init_array (m, n, &float_n, POLYBENCH_ARRAY(data)); |
| kernel_covariance (m, n, float_n, |
| POLYBENCH_ARRAY(data), |
| POLYBENCH_ARRAY(symmat_StrictFP), |
| POLYBENCH_ARRAY(mean)); |
| if (!check_FP(m, POLYBENCH_ARRAY(symmat), POLYBENCH_ARRAY(symmat_StrictFP))) |
| return 1; |
| |
| /* Prevent dead-code elimination. All live-out data must be printed |
| by the function call in argument. */ |
| polybench_prevent_dce(print_array(m, POLYBENCH_ARRAY(symmat_StrictFP))); |
| |
| /* Be clean. */ |
| POLYBENCH_FREE_ARRAY(data); |
| POLYBENCH_FREE_ARRAY(symmat); |
| POLYBENCH_FREE_ARRAY(symmat_StrictFP); |
| POLYBENCH_FREE_ARRAY(mean); |
| |
| return 0; |
| } |