spotrs_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* spotrs_1 is the test program for the C interface to LAPACK
* routine spotrs
* 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_spotrs( char *uplo, lapack_int *n, lapack_int *nrhs,
                                 lapack_int *lda, lapack_int *ldb );
static void init_a( lapack_int size, float *a );
static void init_b( lapack_int size, float *b );
static int compare_spotrs( float *b, float *b_i, lapack_int info,
                           lapack_int info_i, lapack_int ldb, lapack_int nrhs );

int main(void)
{
    /* Local scalars */
    char uplo, uplo_i;
    lapack_int n, n_i;
    lapack_int nrhs, nrhs_i;
    lapack_int lda, lda_i;
    lapack_int lda_r;
    lapack_int ldb, ldb_i;
    lapack_int ldb_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    float *a = NULL, *a_i = NULL;
    float *b = NULL, *b_i = NULL;
    float *b_save = NULL;
    float *a_r = NULL;
    float *b_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_spotrs( &uplo, &n, &nrhs, &lda, &ldb );
    lda_r = n+2;
    ldb_r = nrhs+2;
    uplo_i = uplo;
    n_i = n;
    nrhs_i = nrhs;
    lda_i = lda;
    ldb_i = ldb;

    /* Allocate memory for the LAPACK routine arrays */
    a = (float *)LAPACKE_malloc( lda*n * sizeof(float) );
    b = (float *)LAPACKE_malloc( ldb*nrhs * sizeof(float) );

    /* Allocate memory for the C interface function arrays */
    a_i = (float *)LAPACKE_malloc( lda*n * sizeof(float) );
    b_i = (float *)LAPACKE_malloc( ldb*nrhs * sizeof(float) );

    /* Allocate memory for the backup arrays */
    b_save = (float *)LAPACKE_malloc( ldb*nrhs * sizeof(float) );

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

    /* Initialize input arrays */
    init_a( lda*n, a );
    init_b( ldb*nrhs, b );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_save[i] = b[i];
    }

    /* Call the LAPACK routine */
    spotrs_( &uplo, &n, &nrhs, a, &lda, b, &ldb, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b_save[i];
    }
    info_i = LAPACKE_spotrs_work( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, a_i,
                                  lda_i, b_i, ldb_i );

    failed = compare_spotrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to spotrs\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to spotrs\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*n; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < ldb*nrhs; i++ ) {
        b_i[i] = b_save[i];
    }
    info_i = LAPACKE_spotrs( LAPACK_COL_MAJOR, uplo_i, n_i, nrhs_i, a_i, lda_i,
                             b_i, ldb_i );

    failed = compare_spotrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to spotrs\n" );
    } else {
        printf( "FAILED: column-major high-level interface to spotrs\n" );
    }

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

    LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
    LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    info_i = LAPACKE_spotrs_work( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, a_r,
                                  lda_r, b_r, ldb_r );

    LAPACKE_sge_trans( LAPACK_ROW_MAJOR, n, nrhs, b_r, nrhs+2, b_i, ldb );

    failed = compare_spotrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to spotrs\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to spotrs\n" );
    }

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

    /* Init row_major arrays */
    LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, n, a_i, lda, a_r, n+2 );
    LAPACKE_sge_trans( LAPACK_COL_MAJOR, n, nrhs, b_i, ldb, b_r, nrhs+2 );
    info_i = LAPACKE_spotrs( LAPACK_ROW_MAJOR, uplo_i, n_i, nrhs_i, a_r, lda_r,
                             b_r, ldb_r );

    LAPACKE_sge_trans( LAPACK_ROW_MAJOR, n, nrhs, b_r, nrhs+2, b_i, ldb );

    failed = compare_spotrs( b, b_i, info, info_i, ldb, nrhs );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to spotrs\n" );
    } else {
        printf( "FAILED: row-major high-level interface to spotrs\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( b_save != NULL ) {
        LAPACKE_free( b_save );
    }

    return 0;
}

/* Auxiliary function: spotrs scalar parameters initialization */
static void init_scalars_spotrs( char *uplo, lapack_int *n, lapack_int *nrhs,
                                 lapack_int *lda, lapack_int *ldb )
{
    *uplo = 'L';
    *n = 4;
    *nrhs = 2;
    *lda = 8;
    *ldb = 8;

    return;
}

/* Auxiliary functions: spotrs array parameters initialization */
static void init_a( lapack_int size, float *a ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        a[i] = 0;
    }
    a[0] = 2.039607763e+000;  /* a[0,0] */
    a[8] = 0.000000000e+000;  /* a[0,1] */
    a[16] = 0.000000000e+000;  /* a[0,2] */
    a[24] = 0.000000000e+000;  /* a[0,3] */
    a[1] = -1.529705763e+000;  /* a[1,0] */
    a[9] = 1.640122056e+000;  /* a[1,1] */
    a[17] = 0.000000000e+000;  /* a[1,2] */
    a[25] = 0.000000000e+000;  /* a[1,3] */
    a[2] = 2.745625973e-001;  /* a[2,0] */
    a[10] = -2.499813884e-001;  /* a[2,1] */
    a[18] = 7.887488008e-001;  /* a[2,2] */
    a[26] = 0.000000000e+000;  /* a[2,3] */
    a[3] = -4.902903363e-002;  /* a[3,0] */
    a[11] = 6.737302542e-001;  /* a[3,1] */
    a[19] = 6.616575122e-001;  /* a[3,2] */
    a[27] = 5.346896052e-001;  /* a[3,3] */
}
static void init_b( lapack_int size, float *b ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        b[i] = 0;
    }
    b[0] = 8.699999809e+000;  /* b[0,0] */
    b[8] = 8.300000191e+000;  /* b[0,1] */
    b[1] = -1.335000038e+001;  /* b[1,0] */
    b[9] = 2.130000114e+000;  /* b[1,1] */
    b[2] = 1.889999986e+000;  /* b[2,0] */
    b[10] = 1.610000014e+000;  /* b[2,1] */
    b[3] = -4.139999866e+000;  /* b[3,0] */
    b[11] = 5.000000000e+000;  /* b[3,1] */
}

/* Auxiliary function: C interface to spotrs results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_spotrs( float *b, float *b_i, lapack_int info,
                           lapack_int info_i, lapack_int ldb, lapack_int nrhs )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldb*nrhs; i++ ) {
        failed += compare_floats(b[i],b_i[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;
}