zgbcon_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 * zgbcon_1 is the test program for the C interface to LAPACK
00036 * routine zgbcon
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_zgbcon( char *norm, lapack_int *n, lapack_int *kl,
00055                                  lapack_int *ku, lapack_int *ldab,
00056                                  double *anorm );
00057 static void init_ab( lapack_int size, lapack_complex_double *ab );
00058 static void init_ipiv( lapack_int size, lapack_int *ipiv );
00059 static void init_work( lapack_int size, lapack_complex_double *work );
00060 static void init_rwork( lapack_int size, double *rwork );
00061 static int compare_zgbcon( double rcond, double rcond_i, lapack_int info,
00062                            lapack_int info_i );
00063 
00064 int main(void)
00065 {
00066     /* Local scalars */
00067     char norm, norm_i;
00068     lapack_int n, n_i;
00069     lapack_int kl, kl_i;
00070     lapack_int ku, ku_i;
00071     lapack_int ldab, ldab_i;
00072     lapack_int ldab_r;
00073     double anorm, anorm_i;
00074     double rcond, rcond_i;
00075     lapack_int info, info_i;
00076     lapack_int i;
00077     int failed;
00078 
00079     /* Local arrays */
00080     lapack_complex_double *ab = NULL, *ab_i = NULL;
00081     lapack_int *ipiv = NULL, *ipiv_i = NULL;
00082     lapack_complex_double *work = NULL, *work_i = NULL;
00083     double *rwork = NULL, *rwork_i = NULL;
00084     lapack_complex_double *ab_r = NULL;
00085 
00086     /* Iniitialize the scalar parameters */
00087     init_scalars_zgbcon( &norm, &n, &kl, &ku, &ldab, &anorm );
00088     ldab_r = n+2;
00089     norm_i = norm;
00090     n_i = n;
00091     kl_i = kl;
00092     ku_i = ku;
00093     ldab_i = ldab;
00094     anorm_i = anorm;
00095 
00096     /* Allocate memory for the LAPACK routine arrays */
00097     ab = (lapack_complex_double *)
00098         LAPACKE_malloc( ldab*n * sizeof(lapack_complex_double) );
00099     ipiv = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
00100     work = (lapack_complex_double *)
00101         LAPACKE_malloc( 2*n * sizeof(lapack_complex_double) );
00102     rwork = (double *)LAPACKE_malloc( n * sizeof(double) );
00103 
00104     /* Allocate memory for the C interface function arrays */
00105     ab_i = (lapack_complex_double *)
00106         LAPACKE_malloc( ldab*n * sizeof(lapack_complex_double) );
00107     ipiv_i = (lapack_int *)LAPACKE_malloc( n * sizeof(lapack_int) );
00108     work_i = (lapack_complex_double *)
00109         LAPACKE_malloc( 2*n * sizeof(lapack_complex_double) );
00110     rwork_i = (double *)LAPACKE_malloc( n * sizeof(double) );
00111 
00112     /* Allocate memory for the row-major arrays */
00113     ab_r = (lapack_complex_double *)
00114         LAPACKE_malloc( ((2*kl+ku+1)*(n+2)) * sizeof(lapack_complex_double) );
00115 
00116     /* Initialize input arrays */
00117     init_ab( ldab*n, ab );
00118     init_ipiv( n, ipiv );
00119     init_work( 2*n, work );
00120     init_rwork( n, rwork );
00121 
00122     /* Call the LAPACK routine */
00123     zgbcon_( &norm, &n, &kl, &ku, ab, &ldab, ipiv, &anorm, &rcond, work, rwork,
00124              &info );
00125 
00126     /* Initialize input data, call the column-major middle-level
00127      * interface to LAPACK routine and check the results */
00128     for( i = 0; i < ldab*n; i++ ) {
00129         ab_i[i] = ab[i];
00130     }
00131     for( i = 0; i < n; i++ ) {
00132         ipiv_i[i] = ipiv[i];
00133     }
00134     for( i = 0; i < 2*n; i++ ) {
00135         work_i[i] = work[i];
00136     }
00137     for( i = 0; i < n; i++ ) {
00138         rwork_i[i] = rwork[i];
00139     }
00140     info_i = LAPACKE_zgbcon_work( LAPACK_COL_MAJOR, norm_i, n_i, kl_i, ku_i,
00141                                   ab_i, ldab_i, ipiv_i, anorm_i, &rcond_i,
00142                                   work_i, rwork_i );
00143 
00144     failed = compare_zgbcon( rcond, rcond_i, info, info_i );
00145     if( failed == 0 ) {
00146         printf( "PASSED: column-major middle-level interface to zgbcon\n" );
00147     } else {
00148         printf( "FAILED: column-major middle-level interface to zgbcon\n" );
00149     }
00150 
00151     /* Initialize input data, call the column-major high-level
00152      * interface to LAPACK routine and check the results */
00153     for( i = 0; i < ldab*n; i++ ) {
00154         ab_i[i] = ab[i];
00155     }
00156     for( i = 0; i < n; i++ ) {
00157         ipiv_i[i] = ipiv[i];
00158     }
00159     for( i = 0; i < 2*n; i++ ) {
00160         work_i[i] = work[i];
00161     }
00162     for( i = 0; i < n; i++ ) {
00163         rwork_i[i] = rwork[i];
00164     }
00165     info_i = LAPACKE_zgbcon( LAPACK_COL_MAJOR, norm_i, n_i, kl_i, ku_i, ab_i,
00166                              ldab_i, ipiv_i, anorm_i, &rcond_i );
00167 
00168     failed = compare_zgbcon( rcond, rcond_i, info, info_i );
00169     if( failed == 0 ) {
00170         printf( "PASSED: column-major high-level interface to zgbcon\n" );
00171     } else {
00172         printf( "FAILED: column-major high-level interface to zgbcon\n" );
00173     }
00174 
00175     /* Initialize input data, call the row-major middle-level
00176      * interface to LAPACK routine and check the results */
00177     for( i = 0; i < ldab*n; i++ ) {
00178         ab_i[i] = ab[i];
00179     }
00180     for( i = 0; i < n; i++ ) {
00181         ipiv_i[i] = ipiv[i];
00182     }
00183     for( i = 0; i < 2*n; i++ ) {
00184         work_i[i] = work[i];
00185     }
00186     for( i = 0; i < n; i++ ) {
00187         rwork_i[i] = rwork[i];
00188     }
00189 
00190     LAPACKE_zge_trans( LAPACK_COL_MAJOR, 2*kl+ku+1, n, ab_i, ldab, ab_r, n+2 );
00191     info_i = LAPACKE_zgbcon_work( LAPACK_ROW_MAJOR, norm_i, n_i, kl_i, ku_i,
00192                                   ab_r, ldab_r, ipiv_i, anorm_i, &rcond_i,
00193                                   work_i, rwork_i );
00194 
00195     failed = compare_zgbcon( rcond, rcond_i, info, info_i );
00196     if( failed == 0 ) {
00197         printf( "PASSED: row-major middle-level interface to zgbcon\n" );
00198     } else {
00199         printf( "FAILED: row-major middle-level interface to zgbcon\n" );
00200     }
00201 
00202     /* Initialize input data, call the row-major high-level
00203      * interface to LAPACK routine and check the results */
00204     for( i = 0; i < ldab*n; i++ ) {
00205         ab_i[i] = ab[i];
00206     }
00207     for( i = 0; i < n; i++ ) {
00208         ipiv_i[i] = ipiv[i];
00209     }
00210     for( i = 0; i < 2*n; i++ ) {
00211         work_i[i] = work[i];
00212     }
00213     for( i = 0; i < n; i++ ) {
00214         rwork_i[i] = rwork[i];
00215     }
00216 
00217     /* Init row_major arrays */
00218     LAPACKE_zge_trans( LAPACK_COL_MAJOR, 2*kl+ku+1, n, ab_i, ldab, ab_r, n+2 );
00219     info_i = LAPACKE_zgbcon( LAPACK_ROW_MAJOR, norm_i, n_i, kl_i, ku_i, ab_r,
00220                              ldab_r, ipiv_i, anorm_i, &rcond_i );
00221 
00222     failed = compare_zgbcon( rcond, rcond_i, info, info_i );
00223     if( failed == 0 ) {
00224         printf( "PASSED: row-major high-level interface to zgbcon\n" );
00225     } else {
00226         printf( "FAILED: row-major high-level interface to zgbcon\n" );
00227     }
00228 
00229     /* Release memory */
00230     if( ab != NULL ) {
00231         LAPACKE_free( ab );
00232     }
00233     if( ab_i != NULL ) {
00234         LAPACKE_free( ab_i );
00235     }
00236     if( ab_r != NULL ) {
00237         LAPACKE_free( ab_r );
00238     }
00239     if( ipiv != NULL ) {
00240         LAPACKE_free( ipiv );
00241     }
00242     if( ipiv_i != NULL ) {
00243         LAPACKE_free( ipiv_i );
00244     }
00245     if( work != NULL ) {
00246         LAPACKE_free( work );
00247     }
00248     if( work_i != NULL ) {
00249         LAPACKE_free( work_i );
00250     }
00251     if( rwork != NULL ) {
00252         LAPACKE_free( rwork );
00253     }
00254     if( rwork_i != NULL ) {
00255         LAPACKE_free( rwork_i );
00256     }
00257 
00258     return 0;
00259 }
00260 
00261 /* Auxiliary function: zgbcon scalar parameters initialization */
00262 static void init_scalars_zgbcon( char *norm, lapack_int *n, lapack_int *kl,
00263                                  lapack_int *ku, lapack_int *ldab,
00264                                  double *anorm )
00265 {
00266     *norm = '1';
00267     *n = 4;
00268     *kl = 1;
00269     *ku = 2;
00270     *ldab = 25;
00271     *anorm = 1.54793504020627920e+001;
00272 
00273     return;
00274 }
00275 
00276 /* Auxiliary functions: zgbcon array parameters initialization */
00277 static void init_ab( lapack_int size, lapack_complex_double *ab ) {
00278     lapack_int i;
00279     for( i = 0; i < size; i++ ) {
00280         ab[i] = lapack_make_complex_double( 0.0, 0.0 );
00281     }
00282     ab[0] = lapack_make_complex_double( 0.00000000000000000e+000,
00283                                         0.00000000000000000e+000 );
00284     ab[25] = lapack_make_complex_double( 0.00000000000000000e+000,
00285                                          0.00000000000000000e+000 );
00286     ab[50] = lapack_make_complex_double( 0.00000000000000000e+000,
00287                                          0.00000000000000000e+000 );
00288     ab[75] = lapack_make_complex_double( 5.89999999999999970e-001,
00289                                          -4.79999999999999980e-001 );
00290     ab[1] = lapack_make_complex_double( 0.00000000000000000e+000,
00291                                         0.00000000000000000e+000 );
00292     ab[26] = lapack_make_complex_double( 0.00000000000000000e+000,
00293                                          0.00000000000000000e+000 );
00294     ab[51] = lapack_make_complex_double( -3.99000000000000020e+000,
00295                                          4.00999999999999980e+000 );
00296     ab[76] = lapack_make_complex_double( 3.33000000000000010e+000,
00297                                          -1.04000000000000000e+000 );
00298     ab[2] = lapack_make_complex_double( 0.00000000000000000e+000,
00299                                         0.00000000000000000e+000 );
00300     ab[27] = lapack_make_complex_double( -1.48000000000000000e+000,
00301                                          -1.75000000000000000e+000 );
00302     ab[52] = lapack_make_complex_double( -1.06000000000000010e+000,
00303                                          1.93999999999999990e+000 );
00304     ab[77] = lapack_make_complex_double( -1.76920938160968100e+000,
00305                                          -1.85874728194578730e+000 );
00306     ab[3] = lapack_make_complex_double( 0.00000000000000000e+000,
00307                                         6.29999999999999980e+000 );
00308     ab[28] = lapack_make_complex_double( -7.70000000000000020e-001,
00309                                          2.83000000000000010e+000 );
00310     ab[53] = lapack_make_complex_double( 4.93026694117547140e+000,
00311                                          -3.00856374062719210e+000 );
00312     ab[78] = lapack_make_complex_double( 4.33774926590159760e-001,
00313                                          1.23252818156083470e-001 );
00314     ab[4] = lapack_make_complex_double( 3.58730158730158680e-001,
00315                                         2.61904761904761860e-001 );
00316     ab[29] = lapack_make_complex_double( 2.31426072874374280e-001,
00317                                          6.35764884204745640e-001 );
00318     ab[54] = lapack_make_complex_double( 7.60422661963551130e-001,
00319                                          2.42944258926713260e-001 );
00320     ab[79] = lapack_make_complex_double( 0.00000000000000000e+000,
00321                                          0.00000000000000000e+000 );
00322 }
00323 static void init_ipiv( lapack_int size, lapack_int *ipiv ) {
00324     lapack_int i;
00325     for( i = 0; i < size; i++ ) {
00326         ipiv[i] = 0;
00327     }
00328     ipiv[0] = 2;
00329     ipiv[1] = 3;
00330     ipiv[2] = 3;
00331     ipiv[3] = 4;
00332 }
00333 static void init_work( lapack_int size, lapack_complex_double *work ) {
00334     lapack_int i;
00335     for( i = 0; i < size; i++ ) {
00336         work[i] = lapack_make_complex_double( 0.0, 0.0 );
00337     }
00338 }
00339 static void init_rwork( lapack_int size, double *rwork ) {
00340     lapack_int i;
00341     for( i = 0; i < size; i++ ) {
00342         rwork[i] = 0;
00343     }
00344 }
00345 
00346 /* Auxiliary function: C interface to zgbcon results check */
00347 /* Return value: 0 - test is passed, non-zero - test is failed */
00348 static int compare_zgbcon( double rcond, double rcond_i, lapack_int info,
00349                            lapack_int info_i )
00350 {
00351     int failed = 0;
00352     failed += compare_doubles(rcond,rcond_i);
00353     failed += (info == info_i) ? 0 : 1;
00354     if( info != 0 || info_i != 0 ) {
00355         printf( "info=%d, info_i=%d\n",(int)info,(int)info_i );
00356     }
00357 
00358     return failed;
00359 }


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