dtrsyl_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* dtrsyl_1 is the test program for the C interface to LAPACK
* routine dtrsyl
* The program doesn't require an input, the input data is hardcoded in the
* test program.
* The program tests the C interface in the four combinations:
*   1) column-major layout, middle-level interface
*   2) column-major layout, high-level interface
*   3) row-major layout, middle-level interface
*   4) row-major layout, high-level interface
* The output of the C interface function is compared to those obtained from
* the corresponiding LAPACK routine with the same input data, and the
* comparison diagnostics is then printed on the standard output having PASSED
* keyword if the test is passed, and FAILED keyword if the test isn't passed.
*****************************************************************************/
#include <stdio.h>
#include "lapacke.h"
#include "lapacke_utils.h"
#include "test_utils.h"

static void init_scalars_dtrsyl( char *trana, char *tranb, lapack_int *isgn,
                                 lapack_int *m, lapack_int *n, lapack_int *lda,
                                 lapack_int *ldb, lapack_int *ldc );
static void init_a( lapack_int size, double *a );
static void init_b( lapack_int size, double *b );
static void init_c( lapack_int size, double *c );
static int compare_dtrsyl( double *c, double *c_i, double scale, double scale_i,
                           lapack_int info, lapack_int info_i, lapack_int ldc,
                           lapack_int n );

int main(void)
{
    /* Local scalars */
    char trana, trana_i;
    char tranb, tranb_i;
    lapack_int isgn, isgn_i;
    lapack_int m, m_i;
    lapack_int n, n_i;
    lapack_int lda, lda_i;
    lapack_int lda_r;
    lapack_int ldb, ldb_i;
    lapack_int ldb_r;
    lapack_int ldc, ldc_i;
    lapack_int ldc_r;
    double scale, scale_i;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    double *a = NULL, *a_i = NULL;
    double *b = NULL, *b_i = NULL;
    double *c = NULL, *c_i = NULL;
    double *c_save = NULL;
    double *a_r = NULL;
    double *b_r = NULL;
    double *c_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_dtrsyl( &trana, &tranb, &isgn, &m, &n, &lda, &ldb, &ldc );
    lda_r = m+2;
    ldb_r = n+2;
    ldc_r = n+2;
    trana_i = trana;
    tranb_i = tranb;
    isgn_i = isgn;
    m_i = m;
    n_i = n;
    lda_i = lda;
    ldb_i = ldb;
    ldc_i = ldc;

    /* Allocate memory for the LAPACK routine arrays */
    a = (double *)LAPACKE_malloc( lda*m * sizeof(double) );
    b = (double *)LAPACKE_malloc( ldb*n * sizeof(double) );
    c = (double *)LAPACKE_malloc( ldc*n * sizeof(double) );

    /* Allocate memory for the C interface function arrays */
    a_i = (double *)LAPACKE_malloc( lda*m * sizeof(double) );
    b_i = (double *)LAPACKE_malloc( ldb*n * sizeof(double) );
    c_i = (double *)LAPACKE_malloc( ldc*n * sizeof(double) );

    /* Allocate memory for the backup arrays */
    c_save = (double *)LAPACKE_malloc( ldc*n * sizeof(double) );

    /* Allocate memory for the row-major arrays */
    a_r = (double *)LAPACKE_malloc( m*(m+2) * sizeof(double) );
    b_r = (double *)LAPACKE_malloc( n*(n+2) * sizeof(double) );
    c_r = (double *)LAPACKE_malloc( m*(n+2) * sizeof(double) );

    /* Initialize input arrays */
    init_a( lda*m, a );
    init_b( ldb*n, b );
    init_c( ldc*n, c );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldc*n; i++ ) {
        c_save[i] = c[i];
    }

    /* Call the LAPACK routine */
    dtrsyl_( &trana, &tranb, &isgn, &m, &n, a, &lda, b, &ldb, c, &ldc, &scale,
             &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*m; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < ldb*n; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldc*n; i++ ) {
        c_i[i] = c_save[i];
    }
    info_i = LAPACKE_dtrsyl_work( LAPACK_COL_MAJOR, trana_i, tranb_i, isgn_i,
                                  m_i, n_i, a_i, lda_i, b_i, ldb_i, c_i, ldc_i,
                                  &scale_i );

    failed = compare_dtrsyl( c, c_i, scale, scale_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to dtrsyl\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to dtrsyl\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*m; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < ldb*n; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldc*n; i++ ) {
        c_i[i] = c_save[i];
    }
    info_i = LAPACKE_dtrsyl( LAPACK_COL_MAJOR, trana_i, tranb_i, isgn_i, m_i,
                             n_i, a_i, lda_i, b_i, ldb_i, c_i, ldc_i,
                             &scale_i );

    failed = compare_dtrsyl( c, c_i, scale, scale_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to dtrsyl\n" );
    } else {
        printf( "FAILED: column-major high-level interface to dtrsyl\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*m; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < ldb*n; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldc*n; i++ ) {
        c_i[i] = c_save[i];
    }

    LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, m, a_i, lda, a_r, m+2 );
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, b_i, ldb, b_r, n+2 );
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
    info_i = LAPACKE_dtrsyl_work( LAPACK_ROW_MAJOR, trana_i, tranb_i, isgn_i,
                                  m_i, n_i, a_r, lda_r, b_r, ldb_r, c_r, ldc_r,
                                  &scale_i );

    LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, n, c_r, n+2, c_i, ldc );

    failed = compare_dtrsyl( c, c_i, scale, scale_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to dtrsyl\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to dtrsyl\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*m; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < ldb*n; i++ ) {
        b_i[i] = b[i];
    }
    for( i = 0; i < ldc*n; i++ ) {
        c_i[i] = c_save[i];
    }

    /* Init row_major arrays */
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, m, a_i, lda, a_r, m+2 );
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, n, n, b_i, ldb, b_r, n+2 );
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
    info_i = LAPACKE_dtrsyl( LAPACK_ROW_MAJOR, trana_i, tranb_i, isgn_i, m_i,
                             n_i, a_r, lda_r, b_r, ldb_r, c_r, ldc_r,
                             &scale_i );

    LAPACKE_dge_trans( LAPACK_ROW_MAJOR, m, n, c_r, n+2, c_i, ldc );

    failed = compare_dtrsyl( c, c_i, scale, scale_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to dtrsyl\n" );
    } else {
        printf( "FAILED: row-major high-level interface to dtrsyl\n" );
    }

    /* Release memory */
    if( a != NULL ) {
        LAPACKE_free( a );
    }
    if( a_i != NULL ) {
        LAPACKE_free( a_i );
    }
    if( a_r != NULL ) {
        LAPACKE_free( a_r );
    }
    if( b != NULL ) {
        LAPACKE_free( b );
    }
    if( b_i != NULL ) {
        LAPACKE_free( b_i );
    }
    if( b_r != NULL ) {
        LAPACKE_free( b_r );
    }
    if( c != NULL ) {
        LAPACKE_free( c );
    }
    if( c_i != NULL ) {
        LAPACKE_free( c_i );
    }
    if( c_r != NULL ) {
        LAPACKE_free( c_r );
    }
    if( c_save != NULL ) {
        LAPACKE_free( c_save );
    }

    return 0;
}

/* Auxiliary function: dtrsyl scalar parameters initialization */
static void init_scalars_dtrsyl( char *trana, char *tranb, lapack_int *isgn,
                                 lapack_int *m, lapack_int *n, lapack_int *lda,
                                 lapack_int *ldb, lapack_int *ldc )
{
    *trana = 'N';
    *tranb = 'N';
    *isgn = 1;
    *m = 4;
    *n = 4;
    *lda = 8;
    *ldb = 8;
    *ldc = 8;

    return;
}

/* Auxiliary functions: dtrsyl array parameters initialization */
static void init_a( lapack_int size, double *a ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        a[i] = 0;
    }
    a[0] = 1.00000000000000010e-001;  /* a[0,0] */
    a[8] = 5.00000000000000000e-001;  /* a[0,1] */
    a[16] = 6.80000000000000050e-001;  /* a[0,2] */
    a[24] = -2.09999999999999990e-001;  /* a[0,3] */
    a[1] = -5.00000000000000000e-001;  /* a[1,0] */
    a[9] = 1.00000000000000010e-001;  /* a[1,1] */
    a[17] = -2.39999999999999990e-001;  /* a[1,2] */
    a[25] = 6.70000000000000040e-001;  /* a[1,3] */
    a[2] = 0.00000000000000000e+000;  /* a[2,0] */
    a[10] = 0.00000000000000000e+000;  /* a[2,1] */
    a[18] = 1.90000000000000000e-001;  /* a[2,2] */
    a[26] = -3.49999999999999980e-001;  /* a[2,3] */
    a[3] = 0.00000000000000000e+000;  /* a[3,0] */
    a[11] = 0.00000000000000000e+000;  /* a[3,1] */
    a[19] = 0.00000000000000000e+000;  /* a[3,2] */
    a[27] = -7.19999999999999970e-001;  /* a[3,3] */
}
static void init_b( lapack_int size, double *b ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        b[i] = 0;
    }
    b[0] = -9.89999999999999990e-001;  /* b[0,0] */
    b[8] = -1.70000000000000010e-001;  /* b[0,1] */
    b[16] = 3.90000000000000010e-001;  /* b[0,2] */
    b[24] = 5.79999999999999960e-001;  /* b[0,3] */
    b[1] = 0.00000000000000000e+000;  /* b[1,0] */
    b[9] = 4.79999999999999980e-001;  /* b[1,1] */
    b[17] = -8.39999999999999970e-001;  /* b[1,2] */
    b[25] = -1.49999999999999990e-001;  /* b[1,3] */
    b[2] = 0.00000000000000000e+000;  /* b[2,0] */
    b[10] = 0.00000000000000000e+000;  /* b[2,1] */
    b[18] = 7.50000000000000000e-001;  /* b[2,2] */
    b[26] = 2.50000000000000000e-001;  /* b[2,3] */
    b[3] = 0.00000000000000000e+000;  /* b[3,0] */
    b[11] = 0.00000000000000000e+000;  /* b[3,1] */
    b[19] = -2.50000000000000000e-001;  /* b[3,2] */
    b[27] = 7.50000000000000000e-001;  /* b[3,3] */
}
static void init_c( lapack_int size, double *c ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        c[i] = 0;
    }
    c[0] = 6.30000000000000000e-001;  /* c[0,0] */
    c[8] = -5.60000000000000050e-001;  /* c[0,1] */
    c[16] = 8.00000000000000020e-002;  /* c[0,2] */
    c[24] = -2.30000000000000010e-001;  /* c[0,3] */
    c[1] = -4.50000000000000010e-001;  /* c[1,0] */
    c[9] = -3.10000000000000000e-001;  /* c[1,1] */
    c[17] = 2.70000000000000020e-001;  /* c[1,2] */
    c[25] = 1.21000000000000000e+000;  /* c[1,3] */
    c[2] = 2.00000000000000010e-001;  /* c[2,0] */
    c[10] = -3.49999999999999980e-001;  /* c[2,1] */
    c[18] = 4.09999999999999980e-001;  /* c[2,2] */
    c[26] = 8.39999999999999970e-001;  /* c[2,3] */
    c[3] = 4.89999999999999990e-001;  /* c[3,0] */
    c[11] = -5.00000000000000030e-002;  /* c[3,1] */
    c[19] = -5.20000000000000020e-001;  /* c[3,2] */
    c[27] = -8.00000000000000020e-002;  /* c[3,3] */
}

/* Auxiliary function: C interface to dtrsyl results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_dtrsyl( double *c, double *c_i, double scale, double scale_i,
                           lapack_int info, lapack_int info_i, lapack_int ldc,
                           lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldc*n; i++ ) {
        failed += compare_doubles(c[i],c_i[i]);
    }
    failed += compare_doubles(scale,scale_i);
    failed += (info == info_i) ? 0 : 1;
    if( info != 0 || info_i != 0 ) {
        printf( "info=%d, info_i=%d\n",(int)info,(int)info_i );
    }

    return failed;
}