strsyl_1.c
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00002   Copyright (c) 2010, Intel Corp.
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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 * strsyl_1 is the test program for the C interface to LAPACK
00036 * routine strsyl
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_strsyl( char *trana, char *tranb, lapack_int *isgn,
00055                                  lapack_int *m, lapack_int *n, lapack_int *lda,
00056                                  lapack_int *ldb, lapack_int *ldc );
00057 static void init_a( lapack_int size, float *a );
00058 static void init_b( lapack_int size, float *b );
00059 static void init_c( lapack_int size, float *c );
00060 static int compare_strsyl( float *c, float *c_i, float scale, float scale_i,
00061                            lapack_int info, lapack_int info_i, lapack_int ldc,
00062                            lapack_int n );
00063 
00064 int main(void)
00065 {
00066     /* Local scalars */
00067     char trana, trana_i;
00068     char tranb, tranb_i;
00069     lapack_int isgn, isgn_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 ldb, ldb_i;
00075     lapack_int ldb_r;
00076     lapack_int ldc, ldc_i;
00077     lapack_int ldc_r;
00078     float scale, scale_i;
00079     lapack_int info, info_i;
00080     lapack_int i;
00081     int failed;
00082 
00083     /* Local arrays */
00084     float *a = NULL, *a_i = NULL;
00085     float *b = NULL, *b_i = NULL;
00086     float *c = NULL, *c_i = NULL;
00087     float *c_save = NULL;
00088     float *a_r = NULL;
00089     float *b_r = NULL;
00090     float *c_r = NULL;
00091 
00092     /* Iniitialize the scalar parameters */
00093     init_scalars_strsyl( &trana, &tranb, &isgn, &m, &n, &lda, &ldb, &ldc );
00094     lda_r = m+2;
00095     ldb_r = n+2;
00096     ldc_r = n+2;
00097     trana_i = trana;
00098     tranb_i = tranb;
00099     isgn_i = isgn;
00100     m_i = m;
00101     n_i = n;
00102     lda_i = lda;
00103     ldb_i = ldb;
00104     ldc_i = ldc;
00105 
00106     /* Allocate memory for the LAPACK routine arrays */
00107     a = (float *)LAPACKE_malloc( lda*m * sizeof(float) );
00108     b = (float *)LAPACKE_malloc( ldb*n * sizeof(float) );
00109     c = (float *)LAPACKE_malloc( ldc*n * sizeof(float) );
00110 
00111     /* Allocate memory for the C interface function arrays */
00112     a_i = (float *)LAPACKE_malloc( lda*m * sizeof(float) );
00113     b_i = (float *)LAPACKE_malloc( ldb*n * sizeof(float) );
00114     c_i = (float *)LAPACKE_malloc( ldc*n * sizeof(float) );
00115 
00116     /* Allocate memory for the backup arrays */
00117     c_save = (float *)LAPACKE_malloc( ldc*n * sizeof(float) );
00118 
00119     /* Allocate memory for the row-major arrays */
00120     a_r = (float *)LAPACKE_malloc( m*(m+2) * sizeof(float) );
00121     b_r = (float *)LAPACKE_malloc( n*(n+2) * sizeof(float) );
00122     c_r = (float *)LAPACKE_malloc( m*(n+2) * sizeof(float) );
00123 
00124     /* Initialize input arrays */
00125     init_a( lda*m, a );
00126     init_b( ldb*n, b );
00127     init_c( ldc*n, c );
00128 
00129     /* Backup the ouptut arrays */
00130     for( i = 0; i < ldc*n; i++ ) {
00131         c_save[i] = c[i];
00132     }
00133 
00134     /* Call the LAPACK routine */
00135     strsyl_( &trana, &tranb, &isgn, &m, &n, a, &lda, b, &ldb, c, &ldc, &scale,
00136              &info );
00137 
00138     /* Initialize input data, call the column-major middle-level
00139      * interface to LAPACK routine and check the results */
00140     for( i = 0; i < lda*m; i++ ) {
00141         a_i[i] = a[i];
00142     }
00143     for( i = 0; i < ldb*n; i++ ) {
00144         b_i[i] = b[i];
00145     }
00146     for( i = 0; i < ldc*n; i++ ) {
00147         c_i[i] = c_save[i];
00148     }
00149     info_i = LAPACKE_strsyl_work( LAPACK_COL_MAJOR, trana_i, tranb_i, isgn_i,
00150                                   m_i, n_i, a_i, lda_i, b_i, ldb_i, c_i, ldc_i,
00151                                   &scale_i );
00152 
00153     failed = compare_strsyl( c, c_i, scale, scale_i, info, info_i, ldc, n );
00154     if( failed == 0 ) {
00155         printf( "PASSED: column-major middle-level interface to strsyl\n" );
00156     } else {
00157         printf( "FAILED: column-major middle-level interface to strsyl\n" );
00158     }
00159 
00160     /* Initialize input data, call the column-major high-level
00161      * interface to LAPACK routine and check the results */
00162     for( i = 0; i < lda*m; i++ ) {
00163         a_i[i] = a[i];
00164     }
00165     for( i = 0; i < ldb*n; i++ ) {
00166         b_i[i] = b[i];
00167     }
00168     for( i = 0; i < ldc*n; i++ ) {
00169         c_i[i] = c_save[i];
00170     }
00171     info_i = LAPACKE_strsyl( LAPACK_COL_MAJOR, trana_i, tranb_i, isgn_i, m_i,
00172                              n_i, a_i, lda_i, b_i, ldb_i, c_i, ldc_i,
00173                              &scale_i );
00174 
00175     failed = compare_strsyl( c, c_i, scale, scale_i, info, info_i, ldc, n );
00176     if( failed == 0 ) {
00177         printf( "PASSED: column-major high-level interface to strsyl\n" );
00178     } else {
00179         printf( "FAILED: column-major high-level interface to strsyl\n" );
00180     }
00181 
00182     /* Initialize input data, call the row-major middle-level
00183      * interface to LAPACK routine and check the results */
00184     for( i = 0; i < lda*m; i++ ) {
00185         a_i[i] = a[i];
00186     }
00187     for( i = 0; i < ldb*n; i++ ) {
00188         b_i[i] = b[i];
00189     }
00190     for( i = 0; i < ldc*n; i++ ) {
00191         c_i[i] = c_save[i];
00192     }
00193 
00194     LAPACKE_sge_trans( LAPACK_COL_MAJOR, m, m, a_i, lda, a_r, m+2 );
00195     LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, b_i, ldb, b_r, n+2 );
00196     LAPACKE_sge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
00197     info_i = LAPACKE_strsyl_work( LAPACK_ROW_MAJOR, trana_i, tranb_i, isgn_i,
00198                                   m_i, n_i, a_r, lda_r, b_r, ldb_r, c_r, ldc_r,
00199                                   &scale_i );
00200 
00201     LAPACKE_sge_trans( LAPACK_ROW_MAJOR, m, n, c_r, n+2, c_i, ldc );
00202 
00203     failed = compare_strsyl( c, c_i, scale, scale_i, info, info_i, ldc, n );
00204     if( failed == 0 ) {
00205         printf( "PASSED: row-major middle-level interface to strsyl\n" );
00206     } else {
00207         printf( "FAILED: row-major middle-level interface to strsyl\n" );
00208     }
00209 
00210     /* Initialize input data, call the row-major high-level
00211      * interface to LAPACK routine and check the results */
00212     for( i = 0; i < lda*m; i++ ) {
00213         a_i[i] = a[i];
00214     }
00215     for( i = 0; i < ldb*n; i++ ) {
00216         b_i[i] = b[i];
00217     }
00218     for( i = 0; i < ldc*n; i++ ) {
00219         c_i[i] = c_save[i];
00220     }
00221 
00222     /* Init row_major arrays */
00223     LAPACKE_sge_trans( LAPACK_COL_MAJOR, m, m, a_i, lda, a_r, m+2 );
00224     LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, b_i, ldb, b_r, n+2 );
00225     LAPACKE_sge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
00226     info_i = LAPACKE_strsyl( LAPACK_ROW_MAJOR, trana_i, tranb_i, isgn_i, m_i,
00227                              n_i, a_r, lda_r, b_r, ldb_r, c_r, ldc_r,
00228                              &scale_i );
00229 
00230     LAPACKE_sge_trans( LAPACK_ROW_MAJOR, m, n, c_r, n+2, c_i, ldc );
00231 
00232     failed = compare_strsyl( c, c_i, scale, scale_i, info, info_i, ldc, n );
00233     if( failed == 0 ) {
00234         printf( "PASSED: row-major high-level interface to strsyl\n" );
00235     } else {
00236         printf( "FAILED: row-major high-level interface to strsyl\n" );
00237     }
00238 
00239     /* Release memory */
00240     if( a != NULL ) {
00241         LAPACKE_free( a );
00242     }
00243     if( a_i != NULL ) {
00244         LAPACKE_free( a_i );
00245     }
00246     if( a_r != NULL ) {
00247         LAPACKE_free( a_r );
00248     }
00249     if( b != NULL ) {
00250         LAPACKE_free( b );
00251     }
00252     if( b_i != NULL ) {
00253         LAPACKE_free( b_i );
00254     }
00255     if( b_r != NULL ) {
00256         LAPACKE_free( b_r );
00257     }
00258     if( c != NULL ) {
00259         LAPACKE_free( c );
00260     }
00261     if( c_i != NULL ) {
00262         LAPACKE_free( c_i );
00263     }
00264     if( c_r != NULL ) {
00265         LAPACKE_free( c_r );
00266     }
00267     if( c_save != NULL ) {
00268         LAPACKE_free( c_save );
00269     }
00270 
00271     return 0;
00272 }
00273 
00274 /* Auxiliary function: strsyl scalar parameters initialization */
00275 static void init_scalars_strsyl( char *trana, char *tranb, lapack_int *isgn,
00276                                  lapack_int *m, lapack_int *n, lapack_int *lda,
00277                                  lapack_int *ldb, lapack_int *ldc )
00278 {
00279     *trana = 'N';
00280     *tranb = 'N';
00281     *isgn = 1;
00282     *m = 4;
00283     *n = 4;
00284     *lda = 8;
00285     *ldb = 8;
00286     *ldc = 8;
00287 
00288     return;
00289 }
00290 
00291 /* Auxiliary functions: strsyl array parameters initialization */
00292 static void init_a( lapack_int size, float *a ) {
00293     lapack_int i;
00294     for( i = 0; i < size; i++ ) {
00295         a[i] = 0;
00296     }
00297     a[0] = 1.000000015e-001;  /* a[0,0] */
00298     a[8] = 5.000000000e-001;  /* a[0,1] */
00299     a[16] = 6.800000072e-001;  /* a[0,2] */
00300     a[24] = -2.099999934e-001;  /* a[0,3] */
00301     a[1] = -5.000000000e-001;  /* a[1,0] */
00302     a[9] = 1.000000015e-001;  /* a[1,1] */
00303     a[17] = -2.399999946e-001;  /* a[1,2] */
00304     a[25] = 6.700000167e-001;  /* a[1,3] */
00305     a[2] = 0.000000000e+000;  /* a[2,0] */
00306     a[10] = 0.000000000e+000;  /* a[2,1] */
00307     a[18] = 1.899999976e-001;  /* a[2,2] */
00308     a[26] = -3.499999940e-001;  /* a[2,3] */
00309     a[3] = 0.000000000e+000;  /* a[3,0] */
00310     a[11] = 0.000000000e+000;  /* a[3,1] */
00311     a[19] = 0.000000000e+000;  /* a[3,2] */
00312     a[27] = -7.200000286e-001;  /* a[3,3] */
00313 }
00314 static void init_b( lapack_int size, float *b ) {
00315     lapack_int i;
00316     for( i = 0; i < size; i++ ) {
00317         b[i] = 0;
00318     }
00319     b[0] = -9.900000095e-001;  /* b[0,0] */
00320     b[8] = -1.700000018e-001;  /* b[0,1] */
00321     b[16] = 3.899999857e-001;  /* b[0,2] */
00322     b[24] = 5.799999833e-001;  /* b[0,3] */
00323     b[1] = 0.000000000e+000;  /* b[1,0] */
00324     b[9] = 4.799999893e-001;  /* b[1,1] */
00325     b[17] = -8.399999738e-001;  /* b[1,2] */
00326     b[25] = -1.500000060e-001;  /* b[1,3] */
00327     b[2] = 0.000000000e+000;  /* b[2,0] */
00328     b[10] = 0.000000000e+000;  /* b[2,1] */
00329     b[18] = 7.500000000e-001;  /* b[2,2] */
00330     b[26] = 2.500000000e-001;  /* b[2,3] */
00331     b[3] = 0.000000000e+000;  /* b[3,0] */
00332     b[11] = 0.000000000e+000;  /* b[3,1] */
00333     b[19] = -2.500000000e-001;  /* b[3,2] */
00334     b[27] = 7.500000000e-001;  /* b[3,3] */
00335 }
00336 static void init_c( lapack_int size, float *c ) {
00337     lapack_int i;
00338     for( i = 0; i < size; i++ ) {
00339         c[i] = 0;
00340     }
00341     c[0] = 6.299999952e-001;  /* c[0,0] */
00342     c[8] = -5.600000024e-001;  /* c[0,1] */
00343     c[16] = 7.999999821e-002;  /* c[0,2] */
00344     c[24] = -2.300000042e-001;  /* c[0,3] */
00345     c[1] = -4.499999881e-001;  /* c[1,0] */
00346     c[9] = -3.100000024e-001;  /* c[1,1] */
00347     c[17] = 2.700000107e-001;  /* c[1,2] */
00348     c[25] = 1.210000038e+000;  /* c[1,3] */
00349     c[2] = 2.000000030e-001;  /* c[2,0] */
00350     c[10] = -3.499999940e-001;  /* c[2,1] */
00351     c[18] = 4.099999964e-001;  /* c[2,2] */
00352     c[26] = 8.399999738e-001;  /* c[2,3] */
00353     c[3] = 4.900000095e-001;  /* c[3,0] */
00354     c[11] = -5.000000075e-002;  /* c[3,1] */
00355     c[19] = -5.199999809e-001;  /* c[3,2] */
00356     c[27] = -7.999999821e-002;  /* c[3,3] */
00357 }
00358 
00359 /* Auxiliary function: C interface to strsyl results check */
00360 /* Return value: 0 - test is passed, non-zero - test is failed */
00361 static int compare_strsyl( float *c, float *c_i, float scale, float scale_i,
00362                            lapack_int info, lapack_int info_i, lapack_int ldc,
00363                            lapack_int n )
00364 {
00365     lapack_int i;
00366     int failed = 0;
00367     for( i = 0; i < ldc*n; i++ ) {
00368         failed += compare_floats(c[i],c_i[i]);
00369     }
00370     failed += compare_floats(scale,scale_i);
00371     failed += (info == info_i) ? 0 : 1;
00372     if( info != 0 || info_i != 0 ) {
00373         printf( "info=%d, info_i=%d\n",(int)info,(int)info_i );
00374     }
00375 
00376     return failed;
00377 }


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