dhseqr_3.c
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00003   All rights reserved.
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 * dhseqr_3 is the test program for the C interface to LAPACK
00036 * routine dhseqr
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_dhseqr( char *job, char *compz, lapack_int *n,
00055                                  lapack_int *ilo, lapack_int *ihi,
00056                                  lapack_int *ldh, lapack_int *ldz,
00057                                  lapack_int *lwork );
00058 static void init_h( lapack_int size, double *h );
00059 static void init_wr( lapack_int size, double *wr );
00060 static void init_wi( lapack_int size, double *wi );
00061 static void init_z( lapack_int size, double *z );
00062 static void init_work( lapack_int size, double *work );
00063 static int compare_dhseqr( double *h, double *h_i, double *wr, double *wr_i,
00064                            double *wi, double *wi_i, double *z, double *z_i,
00065                            lapack_int info, lapack_int info_i, char compz,
00066                            lapack_int ldh, lapack_int ldz, lapack_int n );
00067 
00068 int main(void)
00069 {
00070     /* Local scalars */
00071     char job, job_i;
00072     char compz, compz_i;
00073     lapack_int n, n_i;
00074     lapack_int ilo, ilo_i;
00075     lapack_int ihi, ihi_i;
00076     lapack_int ldh, ldh_i;
00077     lapack_int ldh_r;
00078     lapack_int ldz, ldz_i;
00079     lapack_int ldz_r;
00080     lapack_int lwork, lwork_i;
00081     lapack_int info, info_i;
00082     lapack_int i;
00083     int failed;
00084 
00085     /* Local arrays */
00086     double *h = NULL, *h_i = NULL;
00087     double *wr = NULL, *wr_i = NULL;
00088     double *wi = NULL, *wi_i = NULL;
00089     double *z = NULL, *z_i = NULL;
00090     double *work = NULL, *work_i = NULL;
00091     double *h_save = NULL;
00092     double *wr_save = NULL;
00093     double *wi_save = NULL;
00094     double *z_save = NULL;
00095     double *h_r = NULL;
00096     double *z_r = NULL;
00097 
00098     /* Iniitialize the scalar parameters */
00099     init_scalars_dhseqr( &job, &compz, &n, &ilo, &ihi, &ldh, &ldz, &lwork );
00100     ldh_r = n+2;
00101     ldz_r = n+2;
00102     job_i = job;
00103     compz_i = compz;
00104     n_i = n;
00105     ilo_i = ilo;
00106     ihi_i = ihi;
00107     ldh_i = ldh;
00108     ldz_i = ldz;
00109     lwork_i = lwork;
00110 
00111     /* Allocate memory for the LAPACK routine arrays */
00112     h = (double *)LAPACKE_malloc( ldh*n * sizeof(double) );
00113     wr = (double *)LAPACKE_malloc( n * sizeof(double) );
00114     wi = (double *)LAPACKE_malloc( n * sizeof(double) );
00115     z = (double *)LAPACKE_malloc( ldz*n * sizeof(double) );
00116     work = (double *)LAPACKE_malloc( lwork * sizeof(double) );
00117 
00118     /* Allocate memory for the C interface function arrays */
00119     h_i = (double *)LAPACKE_malloc( ldh*n * sizeof(double) );
00120     wr_i = (double *)LAPACKE_malloc( n * sizeof(double) );
00121     wi_i = (double *)LAPACKE_malloc( n * sizeof(double) );
00122     z_i = (double *)LAPACKE_malloc( ldz*n * sizeof(double) );
00123     work_i = (double *)LAPACKE_malloc( lwork * sizeof(double) );
00124 
00125     /* Allocate memory for the backup arrays */
00126     h_save = (double *)LAPACKE_malloc( ldh*n * sizeof(double) );
00127     wr_save = (double *)LAPACKE_malloc( n * sizeof(double) );
00128     wi_save = (double *)LAPACKE_malloc( n * sizeof(double) );
00129     z_save = (double *)LAPACKE_malloc( ldz*n * sizeof(double) );
00130 
00131     /* Allocate memory for the row-major arrays */
00132     h_r = (double *)LAPACKE_malloc( n*(n+2) * sizeof(double) );
00133     z_r = (double *)LAPACKE_malloc( n*(n+2) * sizeof(double) );
00134 
00135     /* Initialize input arrays */
00136     init_h( ldh*n, h );
00137     init_wr( n, wr );
00138     init_wi( n, wi );
00139     init_z( ldz*n, z );
00140     init_work( lwork, work );
00141 
00142     /* Backup the ouptut arrays */
00143     for( i = 0; i < ldh*n; i++ ) {
00144         h_save[i] = h[i];
00145     }
00146     for( i = 0; i < n; i++ ) {
00147         wr_save[i] = wr[i];
00148     }
00149     for( i = 0; i < n; i++ ) {
00150         wi_save[i] = wi[i];
00151     }
00152     for( i = 0; i < ldz*n; i++ ) {
00153         z_save[i] = z[i];
00154     }
00155 
00156     /* Call the LAPACK routine */
00157     dhseqr_( &job, &compz, &n, &ilo, &ihi, h, &ldh, wr, wi, z, &ldz, work,
00158              &lwork, &info );
00159 
00160     /* Initialize input data, call the column-major middle-level
00161      * interface to LAPACK routine and check the results */
00162     for( i = 0; i < ldh*n; i++ ) {
00163         h_i[i] = h_save[i];
00164     }
00165     for( i = 0; i < n; i++ ) {
00166         wr_i[i] = wr_save[i];
00167     }
00168     for( i = 0; i < n; i++ ) {
00169         wi_i[i] = wi_save[i];
00170     }
00171     for( i = 0; i < ldz*n; i++ ) {
00172         z_i[i] = z_save[i];
00173     }
00174     for( i = 0; i < lwork; i++ ) {
00175         work_i[i] = work[i];
00176     }
00177     info_i = LAPACKE_dhseqr_work( LAPACK_COL_MAJOR, job_i, compz_i, n_i, ilo_i,
00178                                   ihi_i, h_i, ldh_i, wr_i, wi_i, z_i, ldz_i,
00179                                   work_i, lwork_i );
00180 
00181     failed = compare_dhseqr( h, h_i, wr, wr_i, wi, wi_i, z, z_i, info, info_i,
00182                              compz, ldh, ldz, n );
00183     if( failed == 0 ) {
00184         printf( "PASSED: column-major middle-level interface to dhseqr\n" );
00185     } else {
00186         printf( "FAILED: column-major middle-level interface to dhseqr\n" );
00187     }
00188 
00189     /* Initialize input data, call the column-major high-level
00190      * interface to LAPACK routine and check the results */
00191     for( i = 0; i < ldh*n; i++ ) {
00192         h_i[i] = h_save[i];
00193     }
00194     for( i = 0; i < n; i++ ) {
00195         wr_i[i] = wr_save[i];
00196     }
00197     for( i = 0; i < n; i++ ) {
00198         wi_i[i] = wi_save[i];
00199     }
00200     for( i = 0; i < ldz*n; i++ ) {
00201         z_i[i] = z_save[i];
00202     }
00203     for( i = 0; i < lwork; i++ ) {
00204         work_i[i] = work[i];
00205     }
00206     info_i = LAPACKE_dhseqr( LAPACK_COL_MAJOR, job_i, compz_i, n_i, ilo_i,
00207                              ihi_i, h_i, ldh_i, wr_i, wi_i, z_i, ldz_i );
00208 
00209     failed = compare_dhseqr( h, h_i, wr, wr_i, wi, wi_i, z, z_i, info, info_i,
00210                              compz, ldh, ldz, n );
00211     if( failed == 0 ) {
00212         printf( "PASSED: column-major high-level interface to dhseqr\n" );
00213     } else {
00214         printf( "FAILED: column-major high-level interface to dhseqr\n" );
00215     }
00216 
00217     /* Initialize input data, call the row-major middle-level
00218      * interface to LAPACK routine and check the results */
00219     for( i = 0; i < ldh*n; i++ ) {
00220         h_i[i] = h_save[i];
00221     }
00222     for( i = 0; i < n; i++ ) {
00223         wr_i[i] = wr_save[i];
00224     }
00225     for( i = 0; i < n; i++ ) {
00226         wi_i[i] = wi_save[i];
00227     }
00228     for( i = 0; i < ldz*n; i++ ) {
00229         z_i[i] = z_save[i];
00230     }
00231     for( i = 0; i < lwork; i++ ) {
00232         work_i[i] = work[i];
00233     }
00234 
00235     LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, h_i, ldh, h_r, n+2 );
00236     if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
00237         LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, z_i, ldz, z_r, n+2 );
00238     }
00239     info_i = LAPACKE_dhseqr_work( LAPACK_ROW_MAJOR, job_i, compz_i, n_i, ilo_i,
00240                                   ihi_i, h_r, ldh_r, wr_i, wi_i, z_r, ldz_r,
00241                                   work_i, lwork_i );
00242 
00243     LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, n, h_r, n+2, h_i, ldh );
00244     if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
00245         LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, n, z_r, n+2, z_i, ldz );
00246     }
00247 
00248     failed = compare_dhseqr( h, h_i, wr, wr_i, wi, wi_i, z, z_i, info, info_i,
00249                              compz, ldh, ldz, n );
00250     if( failed == 0 ) {
00251         printf( "PASSED: row-major middle-level interface to dhseqr\n" );
00252     } else {
00253         printf( "FAILED: row-major middle-level interface to dhseqr\n" );
00254     }
00255 
00256     /* Initialize input data, call the row-major high-level
00257      * interface to LAPACK routine and check the results */
00258     for( i = 0; i < ldh*n; i++ ) {
00259         h_i[i] = h_save[i];
00260     }
00261     for( i = 0; i < n; i++ ) {
00262         wr_i[i] = wr_save[i];
00263     }
00264     for( i = 0; i < n; i++ ) {
00265         wi_i[i] = wi_save[i];
00266     }
00267     for( i = 0; i < ldz*n; i++ ) {
00268         z_i[i] = z_save[i];
00269     }
00270     for( i = 0; i < lwork; i++ ) {
00271         work_i[i] = work[i];
00272     }
00273 
00274     /* Init row_major arrays */
00275     LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, h_i, ldh, h_r, n+2 );
00276     if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
00277         LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, z_i, ldz, z_r, n+2 );
00278     }
00279     info_i = LAPACKE_dhseqr( LAPACK_ROW_MAJOR, job_i, compz_i, n_i, ilo_i,
00280                              ihi_i, h_r, ldh_r, wr_i, wi_i, z_r, ldz_r );
00281 
00282     LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, n, h_r, n+2, h_i, ldh );
00283     if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
00284         LAPACKE_dge_trans( LAPACK_ROW_MAJOR, n, n, z_r, n+2, z_i, ldz );
00285     }
00286 
00287     failed = compare_dhseqr( h, h_i, wr, wr_i, wi, wi_i, z, z_i, info, info_i,
00288                              compz, ldh, ldz, n );
00289     if( failed == 0 ) {
00290         printf( "PASSED: row-major high-level interface to dhseqr\n" );
00291     } else {
00292         printf( "FAILED: row-major high-level interface to dhseqr\n" );
00293     }
00294 
00295     /* Release memory */
00296     if( h != NULL ) {
00297         LAPACKE_free( h );
00298     }
00299     if( h_i != NULL ) {
00300         LAPACKE_free( h_i );
00301     }
00302     if( h_r != NULL ) {
00303         LAPACKE_free( h_r );
00304     }
00305     if( h_save != NULL ) {
00306         LAPACKE_free( h_save );
00307     }
00308     if( wr != NULL ) {
00309         LAPACKE_free( wr );
00310     }
00311     if( wr_i != NULL ) {
00312         LAPACKE_free( wr_i );
00313     }
00314     if( wr_save != NULL ) {
00315         LAPACKE_free( wr_save );
00316     }
00317     if( wi != NULL ) {
00318         LAPACKE_free( wi );
00319     }
00320     if( wi_i != NULL ) {
00321         LAPACKE_free( wi_i );
00322     }
00323     if( wi_save != NULL ) {
00324         LAPACKE_free( wi_save );
00325     }
00326     if( z != NULL ) {
00327         LAPACKE_free( z );
00328     }
00329     if( z_i != NULL ) {
00330         LAPACKE_free( z_i );
00331     }
00332     if( z_r != NULL ) {
00333         LAPACKE_free( z_r );
00334     }
00335     if( z_save != NULL ) {
00336         LAPACKE_free( z_save );
00337     }
00338     if( work != NULL ) {
00339         LAPACKE_free( work );
00340     }
00341     if( work_i != NULL ) {
00342         LAPACKE_free( work_i );
00343     }
00344 
00345     return 0;
00346 }
00347 
00348 /* Auxiliary function: dhseqr scalar parameters initialization */
00349 static void init_scalars_dhseqr( char *job, char *compz, lapack_int *n,
00350                                  lapack_int *ilo, lapack_int *ihi,
00351                                  lapack_int *ldh, lapack_int *ldz,
00352                                  lapack_int *lwork )
00353 {
00354     *job = 'S';
00355     *compz = 'V';
00356     *n = 4;
00357     *ilo = 1;
00358     *ihi = 4;
00359     *ldh = 8;
00360     *ldz = 8;
00361     *lwork = 448;
00362 
00363     return;
00364 }
00365 
00366 /* Auxiliary functions: dhseqr array parameters initialization */
00367 static void init_h( lapack_int size, double *h ) {
00368     lapack_int i;
00369     for( i = 0; i < size; i++ ) {
00370         h[i] = 0;
00371     }
00372     h[0] = 3.49999999999999980e-001;  /* h[0,0] */
00373     h[8] = -1.15952429620503390e-001;  /* h[0,1] */
00374     h[16] = -3.88601034323321160e-001;  /* h[0,2] */
00375     h[24] = -2.94184075347302120e-001;  /* h[0,3] */
00376     h[1] = -5.14003891035855980e-001;  /* h[1,0] */
00377     h[9] = 1.22486752460257420e-001;  /* h[1,1] */
00378     h[17] = 1.00359789682150170e-001;  /* h[1,2] */
00379     h[25] = 1.12561879970531830e-001;  /* h[1,3] */
00380     h[2] = -7.28472128292762870e-001;  /* h[2,0] */
00381     h[10] = 6.44263618527061930e-001;  /* h[2,1] */
00382     h[18] = -1.35700171757113630e-001;  /* h[2,2] */
00383     h[26] = -9.76816227049334410e-002;  /* h[2,3] */
00384     h[3] = 4.13904618348160720e-001;  /* h[3,0] */
00385     h[11] = -1.66544579490569860e-001;  /* h[3,1] */
00386     h[19] = 4.26244372207844720e-001;  /* h[3,2] */
00387     h[27] = 1.63213419296856090e-001;  /* h[3,3] */
00388 }
00389 static void init_wr( lapack_int size, double *wr ) {
00390     lapack_int i;
00391     for( i = 0; i < size; i++ ) {
00392         wr[i] = 0;
00393     }
00394 }
00395 static void init_wi( lapack_int size, double *wi ) {
00396     lapack_int i;
00397     for( i = 0; i < size; i++ ) {
00398         wi[i] = 0;
00399     }
00400 }
00401 static void init_z( lapack_int size, double *z ) {
00402     lapack_int i;
00403     for( i = 0; i < size; i++ ) {
00404         z[i] = 0;
00405     }
00406     z[0] = 1.00000000000000000e+000;  /* z[0,0] */
00407     z[8] = 0.00000000000000000e+000;  /* z[0,1] */
00408     z[16] = 0.00000000000000000e+000;  /* z[0,2] */
00409     z[24] = 0.00000000000000000e+000;  /* z[0,3] */
00410     z[1] = 0.00000000000000000e+000;  /* z[1,0] */
00411     z[9] = -1.75095950769216470e-001;  /* z[1,1] */
00412     z[17] = -9.67453769917777540e-001;  /* z[1,2] */
00413     z[25] = -1.82687194669204300e-001;  /* z[1,3] */
00414     z[2] = 0.00000000000000000e+000;  /* z[2,0] */
00415     z[10] = 8.56024648205058860e-001;  /* z[2,1] */
00416     z[18] = -2.41259865343002920e-001;  /* z[2,2] */
00417     z[26] = 4.57182107086532010e-001;  /* z[2,3] */
00418     z[3] = 0.00000000000000000e+000;  /* z[3,0] */
00419     z[11] = -4.86377641025601600e-001;  /* z[3,1] */
00420     z[19] = -7.63340058332845350e-002;  /* z[3,2] */
00421     z[27] = 8.70407898553209990e-001;  /* z[3,3] */
00422 }
00423 static void init_work( lapack_int size, double *work ) {
00424     lapack_int i;
00425     for( i = 0; i < size; i++ ) {
00426         work[i] = 0;
00427     }
00428 }
00429 
00430 /* Auxiliary function: C interface to dhseqr results check */
00431 /* Return value: 0 - test is passed, non-zero - test is failed */
00432 static int compare_dhseqr( double *h, double *h_i, double *wr, double *wr_i,
00433                            double *wi, double *wi_i, double *z, double *z_i,
00434                            lapack_int info, lapack_int info_i, char compz,
00435                            lapack_int ldh, lapack_int ldz, lapack_int n )
00436 {
00437     lapack_int i;
00438     int failed = 0;
00439     for( i = 0; i < ldh*n; i++ ) {
00440         failed += compare_doubles(h[i],h_i[i]);
00441     }
00442     for( i = 0; i < n; i++ ) {
00443         failed += compare_doubles(wr[i],wr_i[i]);
00444     }
00445     for( i = 0; i < n; i++ ) {
00446         failed += compare_doubles(wi[i],wi_i[i]);
00447     }
00448     if( LAPACKE_lsame( compz, 'i' ) || LAPACKE_lsame( compz, 'v' ) ) {
00449         for( i = 0; i < ldz*n; i++ ) {
00450             failed += compare_doubles(z[i],z_i[i]);
00451         }
00452     }
00453     failed += (info == info_i) ? 0 : 1;
00454     if( info != 0 || info_i != 0 ) {
00455         printf( "info=%d, info_i=%d\n",(int)info,(int)info_i );
00456     }
00457 
00458     return failed;
00459 }


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autogenerated on Sat Jun 8 2019 18:55:45