dormqr_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* dormqr_1 is the test program for the C interface to LAPACK
* routine dormqr
* 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_dormqr( char *side, char *trans, lapack_int *m,
                                 lapack_int *n, lapack_int *k, lapack_int *lda,
                                 lapack_int *ldc, lapack_int *lwork );
static void init_a( lapack_int size, double *a );
static void init_tau( lapack_int size, double *tau );
static void init_c( lapack_int size, double *c );
static void init_work( lapack_int size, double *work );
static int compare_dormqr( double *c, double *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 trans, trans_i;
    lapack_int m, m_i;
    lapack_int n, n_i;
    lapack_int k, k_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 */
    double *a = NULL, *a_i = NULL;
    double *tau = NULL, *tau_i = NULL;
    double *c = NULL, *c_i = NULL;
    double *work = NULL, *work_i = NULL;
    double *c_save = NULL;
    double *a_r = NULL;
    double *c_r = NULL;

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

    /* Allocate memory for the LAPACK routine arrays */
    a = (double *)LAPACKE_malloc( lda*k * sizeof(double) );
    tau = (double *)LAPACKE_malloc( k * sizeof(double) );
    c = (double *)LAPACKE_malloc( ldc*n * sizeof(double) );
    work = (double *)LAPACKE_malloc( lwork * sizeof(double) );

    /* Allocate memory for the C interface function arrays */
    a_i = (double *)LAPACKE_malloc( lda*k * sizeof(double) );
    tau_i = (double *)LAPACKE_malloc( k * sizeof(double) );
    c_i = (double *)LAPACKE_malloc( ldc*n * sizeof(double) );
    work_i = (double *)LAPACKE_malloc( lwork * 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( r*(k+2) * sizeof(double) );
    c_r = (double *)LAPACKE_malloc( m*(n+2) * sizeof(double) );

    /* Initialize input arrays */
    init_a( lda*k, a );
    init_tau( k, 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 */
    dormqr_( &side, &trans, &m, &n, &k, 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*k; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < k; 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_dormqr_work( LAPACK_COL_MAJOR, side_i, trans_i, m_i, n_i,
                                  k_i, a_i, lda_i, tau_i, c_i, ldc_i, work_i,
                                  lwork_i );

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

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*k; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < k; 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_dormqr( LAPACK_COL_MAJOR, side_i, trans_i, m_i, n_i, k_i,
                             a_i, lda_i, tau_i, c_i, ldc_i );

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

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*k; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < k; 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_dge_trans( LAPACK_COL_MAJOR, r, k, a_i, lda, a_r, k+2 );
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
    info_i = LAPACKE_dormqr_work( LAPACK_ROW_MAJOR, side_i, trans_i, m_i, n_i,
                                  k_i, a_r, lda_r, tau_i, c_r, ldc_r, work_i,
                                  lwork_i );

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

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

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < lda*k; i++ ) {
        a_i[i] = a[i];
    }
    for( i = 0; i < k; 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_dge_trans( LAPACK_COL_MAJOR, r, k, a_i, lda, a_r, k+2 );
    LAPACKE_dge_trans( LAPACK_COL_MAJOR, m, n, c_i, ldc, c_r, n+2 );
    info_i = LAPACKE_dormqr( LAPACK_ROW_MAJOR, side_i, trans_i, m_i, n_i, k_i,
                             a_r, lda_r, tau_i, c_r, ldc_r );

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

    failed = compare_dormqr( c, c_i, info, info_i, ldc, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to dormqr\n" );
    } else {
        printf( "FAILED: row-major high-level interface to dormqr\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: dormqr scalar parameters initialization */
static void init_scalars_dormqr( char *side, char *trans, lapack_int *m,
                                 lapack_int *n, lapack_int *k, lapack_int *lda,
                                 lapack_int *ldc, lapack_int *lwork )
{
    *side = 'L';
    *trans = 'T';
    *m = 6;
    *n = 2;
    *k = 5;
    *lda = 8;
    *ldc = 8;
    *lwork = 512;

    return;
}

/* Auxiliary functions: dormqr 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] = 2.89044979198739950e+000;  /* a[0,0] */
    a[8] = 5.16182638472380990e-001;  /* a[0,1] */
    a[16] = -1.71983613546250200e+000;  /* a[0,2] */
    a[24] = 2.02390645781731050e-001;  /* a[0,3] */
    a[32] = -1.50263810568169690e+000;  /* a[0,4] */
    a[1] = 5.23410930858115080e-001;  /* a[1,0] */
    a[9] = -2.70840460118862050e+000;  /* a[1,1] */
    a[17] = -3.64771775129019820e-001;  /* a[1,2] */
    a[25] = -8.72578130883918110e-002;  /* a[1,3] */
    a[33] = 1.14752585214783200e+000;  /* a[1,4] */
    a[2] = 4.96569344660262980e-001;  /* a[2,0] */
    a[10] = -4.77807447011384670e-001;  /* a[2,1] */
    a[18] = 2.25233328333677820e+000;  /* a[2,2] */
    a[26] = 8.39728992469042530e-001;  /* a[2,3] */
    a[34] = -5.95216999148401320e-003;  /* a[2,4] */
    a[3] = 3.65716611945734290e-001;  /* a[3,0] */
    a[11] = -5.52004275578922950e-001;  /* a[3,1] */
    a[19] = -3.30617676999934770e-001;  /* a[3,2] */
    a[27] = -1.00860265702704340e+000;  /* a[3,3] */
    a[35] = 7.11629393779033890e-001;  /* a[3,4] */
    a[4] = -2.68415861978520550e-002;  /* a[4,0] */
    a[12] = 6.25855874605071420e-001;  /* a[4,1] */
    a[20] = -1.97275173915996900e-002;  /* a[4,2] */
    a[28] = 1.93418400495411730e-001;  /* a[4,3] */
    a[36] = -3.36445950941304230e-003;  /* a[4,4] */
    a[5] = 5.33476525682309630e-001;  /* a[5,0] */
    a[13] = -2.58811088544481960e-002;  /* a[5,1] */
    a[21] = 8.65080478099006060e-003;  /* a[5,2] */
    a[29] = -3.96117737057897270e-001;  /* a[5,3] */
    a[37] = -6.35195600985372090e-001;  /* a[5,4] */
}
static void init_tau( lapack_int size, double *tau ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        tau[i] = 0;
    }
    tau[0] = 1.03113702242795860e+000;
    tau[1] = 1.03875917742961610e+000;
    tau[2] = 1.80217188070268990e+000;
    tau[3] = 1.67459315904558000e+000;
    tau[4] = 1.42503586216506740e+000;
}
static void init_c( lapack_int size, double *c ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        c[i] = 0;
    }
    c[0] = -1.00000000000000000e-002;  /* c[0,0] */
    c[8] = -4.00000000000000010e-002;  /* c[0,1] */
    c[1] = 4.00000000000000010e-002;  /* c[1,0] */
    c[9] = -2.99999999999999990e-002;  /* c[1,1] */
    c[2] = 5.00000000000000030e-002;  /* c[2,0] */
    c[10] = 1.00000000000000000e-002;  /* c[2,1] */
    c[3] = -2.99999999999999990e-002;  /* c[3,0] */
    c[11] = -2.00000000000000000e-002;  /* c[3,1] */
    c[4] = 2.00000000000000000e-002;  /* c[4,0] */
    c[12] = 5.00000000000000030e-002;  /* c[4,1] */
    c[5] = -5.99999999999999980e-002;  /* c[5,0] */
    c[13] = 7.00000000000000070e-002;  /* c[5,1] */
}
static void init_work( lapack_int size, double *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = 0;
    }
}

/* Auxiliary function: C interface to dormqr results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_dormqr( double *c, double *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_doubles(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;
}