sormtr_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* sormtr_1 is the test program for the C interface to LAPACK
* routine sormtr
* 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_sormtr( char *side, char *uplo, char *trans,
                                 lapack_int *m, lapack_int *n, lapack_int *lda,
                                 lapack_int *ldc, lapack_int *lwork );
static void init_a( lapack_int size, float *a );
static void init_tau( lapack_int size, float *tau );
static void init_c( lapack_int size, float *c );
static void init_work( lapack_int size, float *work );
static int compare_sormtr( float *c, float *c_i, lapack_int info,
                           lapack_int info_i, lapack_int ldc, lapack_int n );

int main(void)
{
    /* Local scalars */
    char side, side_i;
    char uplo, uplo_i;
    char trans, trans_i;
    lapack_int m, m_i;
    lapack_int n, n_i;
    lapack_int lda, lda_i;
    lapack_int lda_r;
    lapack_int ldc, ldc_i;
    lapack_int ldc_r;
    lapack_int lwork, lwork_i;
    lapack_int info, info_i;
    /* Declare scalars */
    lapack_int r;
    lapack_int i;
    int failed;

    /* Local arrays */
    float *a = NULL, *a_i = NULL;
    float *tau = NULL, *tau_i = NULL;
    float *c = NULL, *c_i = NULL;
    float *work = NULL, *work_i = NULL;
    float *c_save = NULL;
    float *a_r = NULL;
    float *c_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_sormtr( &side, &uplo, &trans, &m, &n, &lda, &ldc, &lwork );
    r = LAPACKE_lsame( side, 'l' ) ? m : n;
    lda_r = r+2;
    ldc_r = n+2;
    side_i = side;
    uplo_i = uplo;
    trans_i = trans;
    m_i = m;
    n_i = n;
    lda_i = lda;
    ldc_i = ldc;
    lwork_i = lwork;

    /* Allocate memory for the LAPACK routine arrays */
    a = (float *)LAPACKE_malloc( lda*m * sizeof(float) );
    tau = (float *)LAPACKE_malloc( (m-1) * sizeof(float) );
    c = (float *)LAPACKE_malloc( ldc*n * sizeof(float) );
    work = (float *)LAPACKE_malloc( lwork * sizeof(float) );

    /* Allocate memory for the C interface function arrays */
    a_i = (float *)LAPACKE_malloc( lda*m * sizeof(float) );
    tau_i = (float *)LAPACKE_malloc( (m-1) * sizeof(float) );
    c_i = (float *)LAPACKE_malloc( ldc*n * sizeof(float) );
    work_i = (float *)LAPACKE_malloc( lwork * sizeof(float) );

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

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

    /* Initialize input arrays */
    init_a( lda*m, a );
    init_tau( (m-1), tau );
    init_c( ldc*n, c );
    init_work( lwork, work );

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

    /* Call the LAPACK routine */
    sormtr_( &side, &uplo, &trans, &m, &n, a, &lda, tau, c, &ldc, work, &lwork,
             &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 < (m-1); i++ ) {
        tau_i[i] = tau[i];
    }
    for( i = 0; i < ldc*n; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_sormtr_work( LAPACK_COL_MAJOR, side_i, uplo_i, trans_i,
                                  m_i, n_i, a_i, lda_i, tau_i, c_i, ldc_i,
                                  work_i, lwork_i );

    failed = compare_sormtr( c, c_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to sormtr\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to sormtr\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 < (m-1); i++ ) {
        tau_i[i] = tau[i];
    }
    for( i = 0; i < ldc*n; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_sormtr( LAPACK_COL_MAJOR, side_i, uplo_i, trans_i, m_i,
                             n_i, a_i, lda_i, tau_i, c_i, ldc_i );

    failed = compare_sormtr( c, c_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to sormtr\n" );
    } else {
        printf( "FAILED: column-major high-level interface to sormtr\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 < (m-1); i++ ) {
        tau_i[i] = tau[i];
    }
    for( i = 0; i < ldc*n; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }

    LAPACKE_sge_trans( LAPACK_COL_MAJOR, r, r, a_i, lda, a_r, r+2 );
    LAPACKE_sge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
    info_i = LAPACKE_sormtr_work( LAPACK_ROW_MAJOR, side_i, uplo_i, trans_i,
                                  m_i, n_i, a_r, lda_r, tau_i, c_r, ldc_r,
                                  work_i, lwork_i );

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

    failed = compare_sormtr( c, c_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to sormtr\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to sormtr\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 < (m-1); i++ ) {
        tau_i[i] = tau[i];
    }
    for( i = 0; i < ldc*n; i++ ) {
        c_i[i] = c_save[i];
    }
    for( i = 0; i < lwork; i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    LAPACKE_sge_trans( LAPACK_COL_MAJOR, r, r, a_i, lda, a_r, r+2 );
    LAPACKE_sge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
    info_i = LAPACKE_sormtr( LAPACK_ROW_MAJOR, side_i, uplo_i, trans_i, m_i,
                             n_i, a_r, lda_r, tau_i, c_r, ldc_r );

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

    failed = compare_sormtr( c, c_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to sormtr\n" );
    } else {
        printf( "FAILED: row-major high-level interface to sormtr\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( tau != NULL ) {
        LAPACKE_free( tau );
    }
    if( tau_i != NULL ) {
        LAPACKE_free( tau_i );
    }
    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 );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }

    return 0;
}

/* Auxiliary function: sormtr scalar parameters initialization */
static void init_scalars_sormtr( char *side, char *uplo, char *trans,
                                 lapack_int *m, lapack_int *n, lapack_int *lda,
                                 lapack_int *ldc, lapack_int *lwork )
{
    *side = 'L';
    *uplo = 'L';
    *trans = 'N';
    *m = 4;
    *n = 2;
    *lda = 8;
    *ldc = 8;
    *lwork = 512;

    return;
}

/* Auxiliary functions: sormtr 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] = 2.069999933e+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] = -5.825753212e+000;  /* a[1,0] */
    a[9] = 1.474093199e+000;  /* a[1,1] */
    a[17] = 0.000000000e+000;  /* a[1,2] */
    a[25] = 0.000000000e+000;  /* a[1,3] */
    a[2] = 4.331793189e-001;  /* a[2,0] */
    a[10] = 2.624044895e+000;  /* a[2,1] */
    a[18] = -6.491593122e-001;  /* a[2,2] */
    a[26] = 0.000000000e+000;  /* a[2,3] */
    a[3] = -1.186086312e-001;  /* a[3,0] */
    a[11] = 8.062880635e-001;  /* a[3,1] */
    a[19] = 9.162727594e-001;  /* a[3,2] */
    a[27] = -1.694934368e+000;  /* a[3,3] */
}
static void init_tau( lapack_int size, float *tau ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        tau[i] = 0;
    }
    tau[0] = 1.664291739e+000;
    tau[1] = 1.212047458e+000;
    tau[2] = 0.000000000e+000;
}
static void init_c( lapack_int size, float *c ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        c[i] = 0;
    }
    c[0] = 5.657591820e-001;  /* c[0,0] */
    c[8] = -2.328424156e-001;  /* c[0,1] */
    c[1] = 6.869179606e-001;  /* c[1,0] */
    c[9] = -1.626171023e-001;  /* c[1,1] */
    c[2] = -4.395889342e-001;  /* c[2,0] */
    c[10] = -3.017273545e-001;  /* c[2,1] */
    c[3] = 1.217449754e-001;  /* c[3,0] */
    c[11] = 9.101103544e-001;  /* c[3,1] */
}
static void init_work( lapack_int size, float *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = 0;
    }
}

/* Auxiliary function: C interface to sormtr results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_sormtr( float *c, float *c_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_floats(c[i],c_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;
}