zsytri_1.c
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00002   Copyright (c) 2010, Intel Corp.
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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 * zsytri_1 is the test program for the C interface to LAPACK
00036 * routine zsytri
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_zsytri( char *uplo, lapack_int *n, lapack_int *lda );
00055 static void init_a( lapack_int size, lapack_complex_double *a );
00056 static void init_ipiv( lapack_int size, lapack_int *ipiv );
00057 static void init_work( lapack_int size, lapack_complex_double *work );
00058 static int compare_zsytri( lapack_complex_double *a, lapack_complex_double *a_i,
00059                            lapack_int info, lapack_int info_i, lapack_int lda,
00060                            lapack_int n );
00061 
00062 int main(void)
00063 {
00064     /* Local scalars */
00065     char uplo, uplo_i;
00066     lapack_int n, n_i;
00067     lapack_int lda, lda_i;
00068     lapack_int lda_r;
00069     lapack_int info, info_i;
00070     lapack_int i;
00071     int failed;
00072 
00073     /* Local arrays */
00074     lapack_complex_double *a = NULL, *a_i = NULL;
00075     lapack_int *ipiv = NULL, *ipiv_i = NULL;
00076     lapack_complex_double *work = NULL, *work_i = NULL;
00077     lapack_complex_double *a_save = NULL;
00078     lapack_complex_double *a_r = NULL;
00079 
00080     /* Iniitialize the scalar parameters */
00081     init_scalars_zsytri( &uplo, &n, &lda );
00082     lda_r = n+2;
00083     uplo_i = uplo;
00084     n_i = n;
00085     lda_i = lda;
00086 
00087     /* Allocate memory for the LAPACK routine arrays */
00088     a = (lapack_complex_double *)
00089         LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
00090     ipiv = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
00091     work = (lapack_complex_double *)
00092         LAPACKE_malloc( 2*n * sizeof(lapack_complex_double) );
00093 
00094     /* Allocate memory for the C interface function arrays */
00095     a_i = (lapack_complex_double *)
00096         LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
00097     ipiv_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
00098     work_i = (lapack_complex_double *)
00099         LAPACKE_malloc( 2*n * sizeof(lapack_complex_double) );
00100 
00101     /* Allocate memory for the backup arrays */
00102     a_save = (lapack_complex_double *)
00103         LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
00104 
00105     /* Allocate memory for the row-major arrays */
00106     a_r = (lapack_complex_double *)
00107         LAPACKE_malloc( n*(n+2) * sizeof(lapack_complex_double) );
00108 
00109     /* Initialize input arrays */
00110     init_a( lda*n, a );
00111     init_ipiv( n, ipiv );
00112     init_work( 2*n, work );
00113 
00114     /* Backup the ouptut arrays */
00115     for( i = 0; i < lda*n; i++ ) {
00116         a_save[i] = a[i];
00117     }
00118 
00119     /* Call the LAPACK routine */
00120     zsytri_( &uplo, &n, a, &lda, ipiv, work, &info );
00121 
00122     /* Initialize input data, call the column-major middle-level
00123      * interface to LAPACK routine and check the results */
00124     for( i = 0; i < lda*n; i++ ) {
00125         a_i[i] = a_save[i];
00126     }
00127     for( i = 0; i < n; i++ ) {
00128         ipiv_i[i] = ipiv[i];
00129     }
00130     for( i = 0; i < 2*n; i++ ) {
00131         work_i[i] = work[i];
00132     }
00133     info_i = LAPACKE_zsytri_work( LAPACK_COL_MAJOR, uplo_i, n_i, a_i, lda_i,
00134                                   ipiv_i, work_i );
00135 
00136     failed = compare_zsytri( a, a_i, info, info_i, lda, n );
00137     if( failed == 0 ) {
00138         printf( "PASSED: column-major middle-level interface to zsytri\n" );
00139     } else {
00140         printf( "FAILED: column-major middle-level interface to zsytri\n" );
00141     }
00142 
00143     /* Initialize input data, call the column-major high-level
00144      * interface to LAPACK routine and check the results */
00145     for( i = 0; i < lda*n; i++ ) {
00146         a_i[i] = a_save[i];
00147     }
00148     for( i = 0; i < n; i++ ) {
00149         ipiv_i[i] = ipiv[i];
00150     }
00151     for( i = 0; i < 2*n; i++ ) {
00152         work_i[i] = work[i];
00153     }
00154     info_i = LAPACKE_zsytri( LAPACK_COL_MAJOR, uplo_i, n_i, a_i, lda_i,
00155                              ipiv_i );
00156 
00157     failed = compare_zsytri( a, a_i, info, info_i, lda, n );
00158     if( failed == 0 ) {
00159         printf( "PASSED: column-major high-level interface to zsytri\n" );
00160     } else {
00161         printf( "FAILED: column-major high-level interface to zsytri\n" );
00162     }
00163 
00164     /* Initialize input data, call the row-major middle-level
00165      * interface to LAPACK routine and check the results */
00166     for( i = 0; i < lda*n; i++ ) {
00167         a_i[i] = a_save[i];
00168     }
00169     for( i = 0; i < n; i++ ) {
00170         ipiv_i[i] = ipiv[i];
00171     }
00172     for( i = 0; i < 2*n; i++ ) {
00173         work_i[i] = work[i];
00174     }
00175 
00176     LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
00177     info_i = LAPACKE_zsytri_work( LAPACK_ROW_MAJOR, uplo_i, n_i, a_r, lda_r,
00178                                   ipiv_i, work_i );
00179 
00180     LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, a_r, n+2, a_i, lda );
00181 
00182     failed = compare_zsytri( a, a_i, info, info_i, lda, n );
00183     if( failed == 0 ) {
00184         printf( "PASSED: row-major middle-level interface to zsytri\n" );
00185     } else {
00186         printf( "FAILED: row-major middle-level interface to zsytri\n" );
00187     }
00188 
00189     /* Initialize input data, call the row-major high-level
00190      * interface to LAPACK routine and check the results */
00191     for( i = 0; i < lda*n; i++ ) {
00192         a_i[i] = a_save[i];
00193     }
00194     for( i = 0; i < n; i++ ) {
00195         ipiv_i[i] = ipiv[i];
00196     }
00197     for( i = 0; i < 2*n; i++ ) {
00198         work_i[i] = work[i];
00199     }
00200 
00201     /* Init row_major arrays */
00202     LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
00203     info_i = LAPACKE_zsytri( LAPACK_ROW_MAJOR, uplo_i, n_i, a_r, lda_r,
00204                              ipiv_i );
00205 
00206     LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, a_r, n+2, a_i, lda );
00207 
00208     failed = compare_zsytri( a, a_i, info, info_i, lda, n );
00209     if( failed == 0 ) {
00210         printf( "PASSED: row-major high-level interface to zsytri\n" );
00211     } else {
00212         printf( "FAILED: row-major high-level interface to zsytri\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( ipiv != NULL ) {
00229         LAPACKE_free( ipiv );
00230     }
00231     if( ipiv_i != NULL ) {
00232         LAPACKE_free( ipiv_i );
00233     }
00234     if( work != NULL ) {
00235         LAPACKE_free( work );
00236     }
00237     if( work_i != NULL ) {
00238         LAPACKE_free( work_i );
00239     }
00240 
00241     return 0;
00242 }
00243 
00244 /* Auxiliary function: zsytri scalar parameters initialization */
00245 static void init_scalars_zsytri( char *uplo, lapack_int *n, lapack_int *lda )
00246 {
00247     *uplo = 'L';
00248     *n = 4;
00249     *lda = 8;
00250 
00251     return;
00252 }
00253 
00254 /* Auxiliary functions: zsytri array parameters initialization */
00255 static void init_a( lapack_int size, lapack_complex_double *a ) {
00256     lapack_int i;
00257     for( i = 0; i < size; i++ ) {
00258         a[i] = lapack_make_complex_double( 0.0, 0.0 );
00259     }
00260     a[0] = lapack_make_complex_double( -3.90000000000000010e-001,
00261                                        -7.09999999999999960e-001 );
00262     a[8] = lapack_make_complex_double( 0.00000000000000000e+000,
00263                                        0.00000000000000000e+000 );
00264     a[16] = lapack_make_complex_double( 0.00000000000000000e+000,
00265                                         0.00000000000000000e+000 );
00266     a[24] = lapack_make_complex_double( 0.00000000000000000e+000,
00267                                         0.00000000000000000e+000 );
00268     a[1] = lapack_make_complex_double( -7.86000000000000030e+000,
00269                                        -2.96000000000000000e+000 );
00270     a[9] = lapack_make_complex_double( -2.83000000000000010e+000,
00271                                        -2.99999999999999990e-002 );
00272     a[17] = lapack_make_complex_double( 0.00000000000000000e+000,
00273                                         0.00000000000000000e+000 );
00274     a[25] = lapack_make_complex_double( 0.00000000000000000e+000,
00275                                         0.00000000000000000e+000 );
00276     a[2] = lapack_make_complex_double( 5.27872480164079950e-001,
00277                                        -3.71466001482590570e-001 );
00278     a[10] = lapack_make_complex_double( -6.07839105668319330e-001,
00279                                         2.81079647893121950e-001 );
00280     a[18] = lapack_make_complex_double( 4.40790623673101220e+000,
00281                                         5.39912067679694110e+000 );
00282     a[26] = lapack_make_complex_double( 0.00000000000000000e+000,
00283                                         0.00000000000000000e+000 );
00284     a[3] = lapack_make_complex_double( 4.42558238872675090e-001,
00285                                        1.93648369829740290e-001 );
00286     a[11] = lapack_make_complex_double( -4.82282297518538240e-001,
00287                                         1.49893621910528460e-002 );
00288     a[19] = lapack_make_complex_double( -1.07082188009268430e-001,
00289                                         -3.15678086248845520e-001 );
00290     a[27] = lapack_make_complex_double( -2.09541488784005690e+000,
00291                                         -2.20113928144078570e+000 );
00292 }
00293 static void init_ipiv( lapack_int size, lapack_int *ipiv ) {
00294     lapack_int i;
00295     for( i = 0; i < size; i++ ) {
00296         ipiv[i] = 0;
00297     }
00298     ipiv[0] = -3;
00299     ipiv[1] = -3;
00300     ipiv[2] = 3;
00301     ipiv[3] = 4;
00302 }
00303 static void init_work( lapack_int size, lapack_complex_double *work ) {
00304     lapack_int i;
00305     for( i = 0; i < size; i++ ) {
00306         work[i] = lapack_make_complex_double( 0.0, 0.0 );
00307     }
00308 }
00309 
00310 /* Auxiliary function: C interface to zsytri results check */
00311 /* Return value: 0 - test is passed, non-zero - test is failed */
00312 static int compare_zsytri( lapack_complex_double *a, lapack_complex_double *a_i,
00313                            lapack_int info, lapack_int info_i, lapack_int lda,
00314                            lapack_int n )
00315 {
00316     lapack_int i;
00317     int failed = 0;
00318     for( i = 0; i < lda*n; i++ ) {
00319         failed += compare_complex_doubles(a[i],a_i[i]);
00320     }
00321     failed += (info == info_i) ? 0 : 1;
00322     if( info != 0 || info_i != 0 ) {
00323         printf( "info=%d, info_i=%d\n",(int)info,(int)info_i );
00324     }
00325 
00326     return failed;
00327 }


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