dormtr_1.c
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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 * dormtr_1 is the test program for the C interface to LAPACK
00036 * routine dormtr
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_dormtr( char *side, char *uplo, char *trans,
00055                                  lapack_int *m, lapack_int *n, lapack_int *lda,
00056                                  lapack_int *ldc, lapack_int *lwork );
00057 static void init_a( lapack_int size, double *a );
00058 static void init_tau( lapack_int size, double *tau );
00059 static void init_c( lapack_int size, double *c );
00060 static void init_work( lapack_int size, double *work );
00061 static int compare_dormtr( double *c, double *c_i, lapack_int info,
00062                            lapack_int info_i, lapack_int ldc, lapack_int n );
00063 
00064 int main(void)
00065 {
00066     /* Local scalars */
00067     char side, side_i;
00068     char uplo, uplo_i;
00069     char trans, trans_i;
00070     lapack_int m, m_i;
00071     lapack_int n, n_i;
00072     lapack_int lda, lda_i;
00073     lapack_int lda_r;
00074     lapack_int ldc, ldc_i;
00075     lapack_int ldc_r;
00076     lapack_int lwork, lwork_i;
00077     lapack_int info, info_i;
00078     /* Declare scalars */
00079     lapack_int r;
00080     lapack_int i;
00081     int failed;
00082 
00083     /* Local arrays */
00084     double *a = NULL, *a_i = NULL;
00085     double *tau = NULL, *tau_i = NULL;
00086     double *c = NULL, *c_i = NULL;
00087     double *work = NULL, *work_i = NULL;
00088     double *c_save = NULL;
00089     double *a_r = NULL;
00090     double *c_r = NULL;
00091 
00092     /* Iniitialize the scalar parameters */
00093     init_scalars_dormtr( &side, &uplo, &trans, &m, &n, &lda, &ldc, &lwork );
00094     r = LAPACKE_lsame( side, 'l' ) ? m : n;
00095     lda_r = r+2;
00096     ldc_r = n+2;
00097     side_i = side;
00098     uplo_i = uplo;
00099     trans_i = trans;
00100     m_i = m;
00101     n_i = n;
00102     lda_i = lda;
00103     ldc_i = ldc;
00104     lwork_i = lwork;
00105 
00106     /* Allocate memory for the LAPACK routine arrays */
00107     a = (double *)LAPACKE_malloc( lda*m * sizeof(double) );
00108     tau = (double *)LAPACKE_malloc( (m-1) * sizeof(double) );
00109     c = (double *)LAPACKE_malloc( ldc*n * sizeof(double) );
00110     work = (double *)LAPACKE_malloc( lwork * sizeof(double) );
00111 
00112     /* Allocate memory for the C interface function arrays */
00113     a_i = (double *)LAPACKE_malloc( lda*m * sizeof(double) );
00114     tau_i = (double *)LAPACKE_malloc( (m-1) * sizeof(double) );
00115     c_i = (double *)LAPACKE_malloc( ldc*n * sizeof(double) );
00116     work_i = (double *)LAPACKE_malloc( lwork * sizeof(double) );
00117 
00118     /* Allocate memory for the backup arrays */
00119     c_save = (double *)LAPACKE_malloc( ldc*n * sizeof(double) );
00120 
00121     /* Allocate memory for the row-major arrays */
00122     a_r = (double *)LAPACKE_malloc( r*(r+2) * sizeof(double) );
00123     c_r = (double *)LAPACKE_malloc( m*(n+2) * sizeof(double) );
00124 
00125     /* Initialize input arrays */
00126     init_a( lda*m, a );
00127     init_tau( (m-1), tau );
00128     init_c( ldc*n, c );
00129     init_work( lwork, work );
00130 
00131     /* Backup the ouptut arrays */
00132     for( i = 0; i < ldc*n; i++ ) {
00133         c_save[i] = c[i];
00134     }
00135 
00136     /* Call the LAPACK routine */
00137     dormtr_( &side, &uplo, &trans, &m, &n, a, &lda, tau, c, &ldc, work, &lwork,
00138              &info );
00139 
00140     /* Initialize input data, call the column-major middle-level
00141      * interface to LAPACK routine and check the results */
00142     for( i = 0; i < lda*m; i++ ) {
00143         a_i[i] = a[i];
00144     }
00145     for( i = 0; i < (m-1); i++ ) {
00146         tau_i[i] = tau[i];
00147     }
00148     for( i = 0; i < ldc*n; i++ ) {
00149         c_i[i] = c_save[i];
00150     }
00151     for( i = 0; i < lwork; i++ ) {
00152         work_i[i] = work[i];
00153     }
00154     info_i = LAPACKE_dormtr_work( LAPACK_COL_MAJOR, side_i, uplo_i, trans_i,
00155                                   m_i, n_i, a_i, lda_i, tau_i, c_i, ldc_i,
00156                                   work_i, lwork_i );
00157 
00158     failed = compare_dormtr( c, c_i, info, info_i, ldc, n );
00159     if( failed == 0 ) {
00160         printf( "PASSED: column-major middle-level interface to dormtr\n" );
00161     } else {
00162         printf( "FAILED: column-major middle-level interface to dormtr\n" );
00163     }
00164 
00165     /* Initialize input data, call the column-major high-level
00166      * interface to LAPACK routine and check the results */
00167     for( i = 0; i < lda*m; i++ ) {
00168         a_i[i] = a[i];
00169     }
00170     for( i = 0; i < (m-1); i++ ) {
00171         tau_i[i] = tau[i];
00172     }
00173     for( i = 0; i < ldc*n; i++ ) {
00174         c_i[i] = c_save[i];
00175     }
00176     for( i = 0; i < lwork; i++ ) {
00177         work_i[i] = work[i];
00178     }
00179     info_i = LAPACKE_dormtr( LAPACK_COL_MAJOR, side_i, uplo_i, trans_i, m_i,
00180                              n_i, a_i, lda_i, tau_i, c_i, ldc_i );
00181 
00182     failed = compare_dormtr( c, c_i, info, info_i, ldc, n );
00183     if( failed == 0 ) {
00184         printf( "PASSED: column-major high-level interface to dormtr\n" );
00185     } else {
00186         printf( "FAILED: column-major high-level interface to dormtr\n" );
00187     }
00188 
00189     /* Initialize input data, call the row-major middle-level
00190      * interface to LAPACK routine and check the results */
00191     for( i = 0; i < lda*m; i++ ) {
00192         a_i[i] = a[i];
00193     }
00194     for( i = 0; i < (m-1); i++ ) {
00195         tau_i[i] = tau[i];
00196     }
00197     for( i = 0; i < ldc*n; i++ ) {
00198         c_i[i] = c_save[i];
00199     }
00200     for( i = 0; i < lwork; i++ ) {
00201         work_i[i] = work[i];
00202     }
00203 
00204     LAPACKE_dge_trans( LAPACK_COL_MAJOR, r, r, a_i, lda, a_r, r+2 );
00205     LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
00206     info_i = LAPACKE_dormtr_work( LAPACK_ROW_MAJOR, side_i, uplo_i, trans_i,
00207                                   m_i, n_i, a_r, lda_r, tau_i, c_r, ldc_r,
00208                                   work_i, lwork_i );
00209 
00210     LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, n, c_r, n+2, c_i, ldc );
00211 
00212     failed = compare_dormtr( c, c_i, info, info_i, ldc, n );
00213     if( failed == 0 ) {
00214         printf( "PASSED: row-major middle-level interface to dormtr\n" );
00215     } else {
00216         printf( "FAILED: row-major middle-level interface to dormtr\n" );
00217     }
00218 
00219     /* Initialize input data, call the row-major high-level
00220      * interface to LAPACK routine and check the results */
00221     for( i = 0; i < lda*m; i++ ) {
00222         a_i[i] = a[i];
00223     }
00224     for( i = 0; i < (m-1); i++ ) {
00225         tau_i[i] = tau[i];
00226     }
00227     for( i = 0; i < ldc*n; i++ ) {
00228         c_i[i] = c_save[i];
00229     }
00230     for( i = 0; i < lwork; i++ ) {
00231         work_i[i] = work[i];
00232     }
00233 
00234     /* Init row_major arrays */
00235     LAPACKE_dge_trans( LAPACK_COL_MAJOR, r, r, a_i, lda, a_r, r+2 );
00236     LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
00237     info_i = LAPACKE_dormtr( LAPACK_ROW_MAJOR, side_i, uplo_i, trans_i, m_i,
00238                              n_i, a_r, lda_r, tau_i, c_r, ldc_r );
00239 
00240     LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, n, c_r, n+2, c_i, ldc );
00241 
00242     failed = compare_dormtr( c, c_i, info, info_i, ldc, n );
00243     if( failed == 0 ) {
00244         printf( "PASSED: row-major high-level interface to dormtr\n" );
00245     } else {
00246         printf( "FAILED: row-major high-level interface to dormtr\n" );
00247     }
00248 
00249     /* Release memory */
00250     if( a != NULL ) {
00251         LAPACKE_free( a );
00252     }
00253     if( a_i != NULL ) {
00254         LAPACKE_free( a_i );
00255     }
00256     if( a_r != NULL ) {
00257         LAPACKE_free( a_r );
00258     }
00259     if( tau != NULL ) {
00260         LAPACKE_free( tau );
00261     }
00262     if( tau_i != NULL ) {
00263         LAPACKE_free( tau_i );
00264     }
00265     if( c != NULL ) {
00266         LAPACKE_free( c );
00267     }
00268     if( c_i != NULL ) {
00269         LAPACKE_free( c_i );
00270     }
00271     if( c_r != NULL ) {
00272         LAPACKE_free( c_r );
00273     }
00274     if( c_save != NULL ) {
00275         LAPACKE_free( c_save );
00276     }
00277     if( work != NULL ) {
00278         LAPACKE_free( work );
00279     }
00280     if( work_i != NULL ) {
00281         LAPACKE_free( work_i );
00282     }
00283 
00284     return 0;
00285 }
00286 
00287 /* Auxiliary function: dormtr scalar parameters initialization */
00288 static void init_scalars_dormtr( char *side, char *uplo, char *trans,
00289                                  lapack_int *m, lapack_int *n, lapack_int *lda,
00290                                  lapack_int *ldc, lapack_int *lwork )
00291 {
00292     *side = 'L';
00293     *uplo = 'L';
00294     *trans = 'N';
00295     *m = 4;
00296     *n = 2;
00297     *lda = 8;
00298     *ldc = 8;
00299     *lwork = 512;
00300 
00301     return;
00302 }
00303 
00304 /* Auxiliary functions: dormtr array parameters initialization */
00305 static void init_a( lapack_int size, double *a ) {
00306     lapack_int i;
00307     for( i = 0; i < size; i++ ) {
00308         a[i] = 0;
00309     }
00310     a[0] = 2.06999999999999980e+000;  /* a[0,0] */
00311     a[8] = 0.00000000000000000e+000;  /* a[0,1] */
00312     a[16] = 0.00000000000000000e+000;  /* a[0,2] */
00313     a[24] = 0.00000000000000000e+000;  /* a[0,3] */
00314     a[1] = -5.82575317019181590e+000;  /* a[1,0] */
00315     a[9] = 1.47409370819755310e+000;  /* a[1,1] */
00316     a[17] = 0.00000000000000000e+000;  /* a[1,2] */
00317     a[25] = 0.00000000000000000e+000;  /* a[1,3] */
00318     a[2] = 4.33179344221786720e-001;  /* a[2,0] */
00319     a[10] = 2.62404517879558740e+000;  /* a[2,1] */
00320     a[18] = -6.49159507545784330e-001;  /* a[2,2] */
00321     a[26] = 0.00000000000000000e+000;  /* a[2,3] */
00322     a[3] = -1.18608629965489210e-001;  /* a[3,0] */
00323     a[11] = 8.06288153277579080e-001;  /* a[3,1] */
00324     a[19] = 9.16272756321918620e-001;  /* a[3,2] */
00325     a[27] = -1.69493420065176800e+000;  /* a[3,3] */
00326 }
00327 static void init_tau( lapack_int size, double *tau ) {
00328     lapack_int i;
00329     for( i = 0; i < size; i++ ) {
00330         tau[i] = 0;
00331     }
00332     tau[0] = 1.66429178973824920e+000;
00333     tau[1] = 1.21204732416214210e+000;
00334     tau[2] = 0.00000000000000000e+000;
00335 }
00336 static void init_c( lapack_int size, double *c ) {
00337     lapack_int i;
00338     for( i = 0; i < size; i++ ) {
00339         c[i] = 0;
00340     }
00341     c[0] = 5.65759178822387240e-001;  /* c[0,0] */
00342     c[8] = -2.32842430803157250e-001;  /* c[0,1] */
00343     c[1] = 6.86917957250591790e-001;  /* c[1,0] */
00344     c[9] = -1.62617096149163560e-001;  /* c[1,1] */
00345     c[2] = -4.39588937213165000e-001;  /* c[2,0] */
00346     c[10] = -3.01727334388271980e-001;  /* c[2,1] */
00347     c[3] = 1.21744970593008300e-001;  /* c[3,0] */
00348     c[11] = 9.10110267022979150e-001;  /* c[3,1] */
00349 }
00350 static void init_work( lapack_int size, double *work ) {
00351     lapack_int i;
00352     for( i = 0; i < size; i++ ) {
00353         work[i] = 0;
00354     }
00355 }
00356 
00357 /* Auxiliary function: C interface to dormtr results check */
00358 /* Return value: 0 - test is passed, non-zero - test is failed */
00359 static int compare_dormtr( double *c, double *c_i, lapack_int info,
00360                            lapack_int info_i, lapack_int ldc, lapack_int n )
00361 {
00362     lapack_int i;
00363     int failed = 0;
00364     for( i = 0; i < ldc*n; i++ ) {
00365         failed += compare_doubles(c[i],c_i[i]);
00366     }
00367     failed += (info == info_i) ? 0 : 1;
00368     if( info != 0 || info_i != 0 ) {
00369         printf( "info=%d, info_i=%d\n",(int)info,(int)info_i );
00370     }
00371 
00372     return failed;
00373 }


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