dgeqrf_1.c
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00004 
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00029 /*  Contents: test routine for C interface to LAPACK
00030 *   Author: Intel Corporation
00031 *   Created in March, 2010
00032 *
00033 * Purpose
00034 *
00035 * dgeqrf_1 is the test program for the C interface to LAPACK
00036 * routine dgeqrf
00037 * The program doesn't require an input, the input data is hardcoded in the
00038 * test program.
00039 * The program tests the C interface in the four combinations:
00040 *   1) column-major layout, middle-level interface
00041 *   2) column-major layout, high-level interface
00042 *   3) row-major layout, middle-level interface
00043 *   4) row-major layout, high-level interface
00044 * The output of the C interface function is compared to those obtained from
00045 * the corresponiding LAPACK routine with the same input data, and the
00046 * comparison diagnostics is then printed on the standard output having PASSED
00047 * keyword if the test is passed, and FAILED keyword if the test isn't passed.
00048 *****************************************************************************/
00049 #include <stdio.h>
00050 #include "lapacke.h"
00051 #include "lapacke_utils.h"
00052 #include "test_utils.h"
00053 
00054 static void init_scalars_dgeqrf( lapack_int *m, lapack_int *n, lapack_int *lda,
00055                                  lapack_int *lwork );
00056 static void init_a( lapack_int size, double *a );
00057 static void init_tau( lapack_int size, double *tau );
00058 static void init_work( lapack_int size, double *work );
00059 static int compare_dgeqrf( double *a, double *a_i, double *tau, double *tau_i,
00060                            lapack_int info, lapack_int info_i, lapack_int lda,
00061                            lapack_int m, lapack_int n );
00062 
00063 int main(void)
00064 {
00065     /* Local scalars */
00066     lapack_int m, m_i;
00067     lapack_int n, n_i;
00068     lapack_int lda, lda_i;
00069     lapack_int lda_r;
00070     lapack_int lwork, lwork_i;
00071     lapack_int info, info_i;
00072     lapack_int i;
00073     int failed;
00074 
00075     /* Local arrays */
00076     double *a = NULL, *a_i = NULL;
00077     double *tau = NULL, *tau_i = NULL;
00078     double *work = NULL, *work_i = NULL;
00079     double *a_save = NULL;
00080     double *tau_save = NULL;
00081     double *a_r = NULL;
00082 
00083     /* Iniitialize the scalar parameters */
00084     init_scalars_dgeqrf( &m, &n, &lda, &lwork );
00085     lda_r = n+2;
00086     m_i = m;
00087     n_i = n;
00088     lda_i = lda;
00089     lwork_i = lwork;
00090 
00091     /* Allocate memory for the LAPACK routine arrays */
00092     a = (double *)LAPACKE_malloc( lda*n * sizeof(double) );
00093     tau = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
00094     work = (double *)LAPACKE_malloc( lwork * sizeof(double) );
00095 
00096     /* Allocate memory for the C interface function arrays */
00097     a_i = (double *)LAPACKE_malloc( lda*n * sizeof(double) );
00098     tau_i = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
00099     work_i = (double *)LAPACKE_malloc( lwork * sizeof(double) );
00100 
00101     /* Allocate memory for the backup arrays */
00102     a_save = (double *)LAPACKE_malloc( lda*n * sizeof(double) );
00103     tau_save = (double *)LAPACKE_malloc( MIN(m,n) * sizeof(double) );
00104 
00105     /* Allocate memory for the row-major arrays */
00106     a_r = (double *)LAPACKE_malloc( m*(n+2) * sizeof(double) );
00107 
00108     /* Initialize input arrays */
00109     init_a( lda*n, a );
00110     init_tau( (MIN(m,n)), tau );
00111     init_work( lwork, work );
00112 
00113     /* Backup the ouptut arrays */
00114     for( i = 0; i < lda*n; i++ ) {
00115         a_save[i] = a[i];
00116     }
00117     for( i = 0; i < (MIN(m,n)); i++ ) {
00118         tau_save[i] = tau[i];
00119     }
00120 
00121     /* Call the LAPACK routine */
00122     dgeqrf_( &m, &n, a, &lda, tau, work, &lwork, &info );
00123 
00124     /* Initialize input data, call the column-major middle-level
00125      * interface to LAPACK routine and check the results */
00126     for( i = 0; i < lda*n; i++ ) {
00127         a_i[i] = a_save[i];
00128     }
00129     for( i = 0; i < (MIN(m,n)); i++ ) {
00130         tau_i[i] = tau_save[i];
00131     }
00132     for( i = 0; i < lwork; i++ ) {
00133         work_i[i] = work[i];
00134     }
00135     info_i = LAPACKE_dgeqrf_work( LAPACK_COL_MAJOR, m_i, n_i, a_i, lda_i, tau_i,
00136                                   work_i, lwork_i );
00137 
00138     failed = compare_dgeqrf( a, a_i, tau, tau_i, info, info_i, lda, m, n );
00139     if( failed == 0 ) {
00140         printf( "PASSED: column-major middle-level interface to dgeqrf\n" );
00141     } else {
00142         printf( "FAILED: column-major middle-level interface to dgeqrf\n" );
00143     }
00144 
00145     /* Initialize input data, call the column-major high-level
00146      * interface to LAPACK routine and check the results */
00147     for( i = 0; i < lda*n; i++ ) {
00148         a_i[i] = a_save[i];
00149     }
00150     for( i = 0; i < (MIN(m,n)); i++ ) {
00151         tau_i[i] = tau_save[i];
00152     }
00153     for( i = 0; i < lwork; i++ ) {
00154         work_i[i] = work[i];
00155     }
00156     info_i = LAPACKE_dgeqrf( LAPACK_COL_MAJOR, m_i, n_i, a_i, lda_i, tau_i );
00157 
00158     failed = compare_dgeqrf( a, a_i, tau, tau_i, info, info_i, lda, m, n );
00159     if( failed == 0 ) {
00160         printf( "PASSED: column-major high-level interface to dgeqrf\n" );
00161     } else {
00162         printf( "FAILED: column-major high-level interface to dgeqrf\n" );
00163     }
00164 
00165     /* Initialize input data, call the row-major middle-level
00166      * interface to LAPACK routine and check the results */
00167     for( i = 0; i < lda*n; i++ ) {
00168         a_i[i] = a_save[i];
00169     }
00170     for( i = 0; i < (MIN(m,n)); i++ ) {
00171         tau_i[i] = tau_save[i];
00172     }
00173     for( i = 0; i < lwork; i++ ) {
00174         work_i[i] = work[i];
00175     }
00176 
00177     LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, a_i, lda, a_r, n+2 );
00178     info_i = LAPACKE_dgeqrf_work( LAPACK_ROW_MAJOR, m_i, n_i, a_r, lda_r, tau_i,
00179                                   work_i, lwork_i );
00180 
00181     LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, n, a_r, n+2, a_i, lda );
00182 
00183     failed = compare_dgeqrf( a, a_i, tau, tau_i, info, info_i, lda, m, n );
00184     if( failed == 0 ) {
00185         printf( "PASSED: row-major middle-level interface to dgeqrf\n" );
00186     } else {
00187         printf( "FAILED: row-major middle-level interface to dgeqrf\n" );
00188     }
00189 
00190     /* Initialize input data, call the row-major high-level
00191      * interface to LAPACK routine and check the results */
00192     for( i = 0; i < lda*n; i++ ) {
00193         a_i[i] = a_save[i];
00194     }
00195     for( i = 0; i < (MIN(m,n)); i++ ) {
00196         tau_i[i] = tau_save[i];
00197     }
00198     for( i = 0; i < lwork; i++ ) {
00199         work_i[i] = work[i];
00200     }
00201 
00202     /* Init row_major arrays */
00203     LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, a_i, lda, a_r, n+2 );
00204     info_i = LAPACKE_dgeqrf( LAPACK_ROW_MAJOR, m_i, n_i, a_r, lda_r, tau_i );
00205 
00206     LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, n, a_r, n+2, a_i, lda );
00207 
00208     failed = compare_dgeqrf( a, a_i, tau, tau_i, info, info_i, lda, m, n );
00209     if( failed == 0 ) {
00210         printf( "PASSED: row-major high-level interface to dgeqrf\n" );
00211     } else {
00212         printf( "FAILED: row-major high-level interface to dgeqrf\n" );
00213     }
00214 
00215     /* Release memory */
00216     if( a != NULL ) {
00217         LAPACKE_free( a );
00218     }
00219     if( a_i != NULL ) {
00220         LAPACKE_free( a_i );
00221     }
00222     if( a_r != NULL ) {
00223         LAPACKE_free( a_r );
00224     }
00225     if( a_save != NULL ) {
00226         LAPACKE_free( a_save );
00227     }
00228     if( tau != NULL ) {
00229         LAPACKE_free( tau );
00230     }
00231     if( tau_i != NULL ) {
00232         LAPACKE_free( tau_i );
00233     }
00234     if( tau_save != NULL ) {
00235         LAPACKE_free( tau_save );
00236     }
00237     if( work != NULL ) {
00238         LAPACKE_free( work );
00239     }
00240     if( work_i != NULL ) {
00241         LAPACKE_free( work_i );
00242     }
00243 
00244     return 0;
00245 }
00246 
00247 /* Auxiliary function: dgeqrf scalar parameters initialization */
00248 static void init_scalars_dgeqrf( lapack_int *m, lapack_int *n, lapack_int *lda,
00249                                  lapack_int *lwork )
00250 {
00251     *m = 6;
00252     *n = 4;
00253     *lda = 8;
00254     *lwork = 512;
00255 
00256     return;
00257 }
00258 
00259 /* Auxiliary functions: dgeqrf array parameters initialization */
00260 static void init_a( lapack_int size, double *a ) {
00261     lapack_int i;
00262     for( i = 0; i < size; i++ ) {
00263         a[i] = 0;
00264     }
00265     a[0] = -5.69999999999999950e-001;  /* a[0,0] */
00266     a[8] = -1.28000000000000000e+000;  /* a[0,1] */
00267     a[16] = -3.90000000000000010e-001;  /* a[0,2] */
00268     a[24] = 2.50000000000000000e-001;  /* a[0,3] */
00269     a[1] = -1.92999999999999990e+000;  /* a[1,0] */
00270     a[9] = 1.08000000000000010e+000;  /* a[1,1] */
00271     a[17] = -3.10000000000000000e-001;  /* a[1,2] */
00272     a[25] = -2.14000000000000010e+000;  /* a[1,3] */
00273     a[2] = 2.29999999999999980e+000;  /* a[2,0] */
00274     a[10] = 2.39999999999999990e-001;  /* a[2,1] */
00275     a[18] = 4.00000000000000020e-001;  /* a[2,2] */
00276     a[26] = -3.49999999999999980e-001;  /* a[2,3] */
00277     a[3] = -1.92999999999999990e+000;  /* a[3,0] */
00278     a[11] = 6.40000000000000010e-001;  /* a[3,1] */
00279     a[19] = -6.60000000000000030e-001;  /* a[3,2] */
00280     a[27] = 8.00000000000000020e-002;  /* a[3,3] */
00281     a[4] = 1.49999999999999990e-001;  /* a[4,0] */
00282     a[12] = 2.99999999999999990e-001;  /* a[4,1] */
00283     a[20] = 1.49999999999999990e-001;  /* a[4,2] */
00284     a[28] = -2.12999999999999990e+000;  /* a[4,3] */
00285     a[5] = -2.00000000000000000e-002;  /* a[5,0] */
00286     a[13] = 1.03000000000000000e+000;  /* a[5,1] */
00287     a[21] = -1.42999999999999990e+000;  /* a[5,2] */
00288     a[29] = 5.00000000000000000e-001;  /* a[5,3] */
00289 }
00290 static void init_tau( lapack_int size, double *tau ) {
00291     lapack_int i;
00292     for( i = 0; i < size; i++ ) {
00293         tau[i] = 0;
00294     }
00295 }
00296 static void init_work( lapack_int size, double *work ) {
00297     lapack_int i;
00298     for( i = 0; i < size; i++ ) {
00299         work[i] = 0;
00300     }
00301 }
00302 
00303 /* Auxiliary function: C interface to dgeqrf results check */
00304 /* Return value: 0 - test is passed, non-zero - test is failed */
00305 static int compare_dgeqrf( double *a, double *a_i, double *tau, double *tau_i,
00306                            lapack_int info, lapack_int info_i, lapack_int lda,
00307                            lapack_int m, lapack_int n )
00308 {
00309     lapack_int i;
00310     int failed = 0;
00311     for( i = 0; i < lda*n; i++ ) {
00312         failed += compare_doubles(a[i],a_i[i]);
00313     }
00314     for( i = 0; i < (MIN(m,n)); i++ ) {
00315         failed += compare_doubles(tau[i],tau_i[i]);
00316     }
00317     failed += (info == info_i) ? 0 : 1;
00318     if( info != 0 || info_i != 0 ) {
00319         printf( "info=%d, info_i=%d\n",(int)info,(int)info_i );
00320     }
00321 
00322     return failed;
00323 }


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