zgetrf_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zgetrf_1 is the test program for the C interface to LAPACK
* routine zgetrf
* 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_zgetrf( lapack_int *m, lapack_int *n,
                                 lapack_int *lda );
static void init_a( lapack_int size, lapack_complex_double *a );
static void init_ipiv( lapack_int size, lapack_int *ipiv );
static int compare_zgetrf( lapack_complex_double *a, lapack_complex_double *a_i,
                           lapack_int *ipiv, lapack_int *ipiv_i,
                           lapack_int info, lapack_int info_i, lapack_int lda,
                           lapack_int m, lapack_int n );

int main(void)
{
    /* Local scalars */
    lapack_int m, m_i;
    lapack_int n, n_i;
    lapack_int lda, lda_i;
    lapack_int lda_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_double *a = NULL, *a_i = NULL;
    lapack_int *ipiv = NULL, *ipiv_i = NULL;
    lapack_complex_double *a_save = NULL;
    lapack_int *ipiv_save = NULL;
    lapack_complex_double *a_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zgetrf( &m, &n, &lda );
    lda_r = n+2;
    m_i = m;
    n_i = n;
    lda_i = lda;

    /* Allocate memory for the LAPACK routine arrays */
    a = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
    ipiv = (lapack_int *)LAPACKE_malloc( MIN(m,n) * sizeof(lapack_int) );

    /* Allocate memory for the C interface function arrays */
    a_i = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
    ipiv_i = (lapack_int *)LAPACKE_malloc( MIN(m,n) * sizeof(lapack_int) );

    /* Allocate memory for the backup arrays */
    a_save = (lapack_complex_double *)
        LAPACKE_malloc( lda*n * sizeof(lapack_complex_double) );
    ipiv_save = (lapack_int *)LAPACKE_malloc( MIN(m,n) * sizeof(lapack_int) );

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

    /* Initialize input arrays */
    init_a( lda*n, a );
    init_ipiv( (MIN(m,n)), ipiv );

    /* Backup the ouptut arrays */
    for( i = 0; i < lda*n; i++ ) {
        a_save[i] = a[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_save[i] = ipiv[i];
    }

    /* Call the LAPACK routine */
    zgetrf_( &m, &n, a, &lda, ipiv, &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_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_i[i] = ipiv_save[i];
    }
    info_i = LAPACKE_zgetrf_work( LAPACK_COL_MAJOR, m_i, n_i, a_i, lda_i,
                                  ipiv_i );

    failed = compare_zgetrf( a, a_i, ipiv, ipiv_i, info, info_i, lda, m, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zgetrf\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zgetrf\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_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_i[i] = ipiv_save[i];
    }
    info_i = LAPACKE_zgetrf( LAPACK_COL_MAJOR, m_i, n_i, a_i, lda_i, ipiv_i );

    failed = compare_zgetrf( a, a_i, ipiv, ipiv_i, info, info_i, lda, m, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zgetrf\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zgetrf\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_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_i[i] = ipiv_save[i];
    }

    LAPACKE_zge_trans( LAPACK_COL_MAJOR, m, n, a_i, lda, a_r, n+2 );
    info_i = LAPACKE_zgetrf_work( LAPACK_ROW_MAJOR, m_i, n_i, a_r, lda_r,
                                  ipiv_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, m, n, a_r, n+2, a_i, lda );

    failed = compare_zgetrf( a, a_i, ipiv, ipiv_i, info, info_i, lda, m, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zgetrf\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zgetrf\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_save[i];
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        ipiv_i[i] = ipiv_save[i];
    }

    /* Init row_major arrays */
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, m, n, a_i, lda, a_r, n+2 );
    info_i = LAPACKE_zgetrf( LAPACK_ROW_MAJOR, m_i, n_i, a_r, lda_r, ipiv_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, m, n, a_r, n+2, a_i, lda );

    failed = compare_zgetrf( a, a_i, ipiv, ipiv_i, info, info_i, lda, m, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zgetrf\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zgetrf\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( a_save != NULL ) {
        LAPACKE_free( a_save );
    }
    if( ipiv != NULL ) {
        LAPACKE_free( ipiv );
    }
    if( ipiv_i != NULL ) {
        LAPACKE_free( ipiv_i );
    }
    if( ipiv_save != NULL ) {
        LAPACKE_free( ipiv_save );
    }

    return 0;
}

/* Auxiliary function: zgetrf scalar parameters initialization */
static void init_scalars_zgetrf( lapack_int *m, lapack_int *n, lapack_int *lda )
{
    *m = 4;
    *n = 4;
    *lda = 8;

    return;
}

/* Auxiliary functions: zgetrf array parameters initialization */
static void init_a( lapack_int size, lapack_complex_double *a ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        a[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    a[0] = lapack_make_complex_double( -1.34000000000000010e+000,
                                       2.54999999999999980e+000 );
    a[8] = lapack_make_complex_double( 2.80000000000000030e-001,
                                       3.16999999999999990e+000 );
    a[16] = lapack_make_complex_double( -6.38999999999999970e+000,
                                        -2.20000000000000020e+000 );
    a[24] = lapack_make_complex_double( 7.19999999999999970e-001,
                                        -9.20000000000000040e-001 );
    a[1] = lapack_make_complex_double( -1.70000000000000010e-001,
                                       -1.40999999999999990e+000 );
    a[9] = lapack_make_complex_double( 3.31000000000000010e+000,
                                       -1.49999999999999990e-001 );
    a[17] = lapack_make_complex_double( -1.49999999999999990e-001,
                                        1.34000000000000010e+000 );
    a[25] = lapack_make_complex_double( 1.29000000000000000e+000,
                                        1.37999999999999990e+000 );
    a[2] = lapack_make_complex_double( -3.29000000000000000e+000,
                                       -2.39000000000000010e+000 );
    a[10] = lapack_make_complex_double( -1.90999999999999990e+000,
                                        4.41999999999999990e+000 );
    a[18] = lapack_make_complex_double( -1.40000000000000010e-001,
                                        -1.35000000000000010e+000 );
    a[26] = lapack_make_complex_double( 1.72000000000000000e+000,
                                        1.35000000000000010e+000 );
    a[3] = lapack_make_complex_double( 2.41000000000000010e+000,
                                       3.90000000000000010e-001 );
    a[11] = lapack_make_complex_double( -5.60000000000000050e-001,
                                        1.47000000000000000e+000 );
    a[19] = lapack_make_complex_double( -8.29999999999999960e-001,
                                        -6.89999999999999950e-001 );
    a[27] = lapack_make_complex_double( -1.96000000000000000e+000,
                                        6.70000000000000040e-001 );
}
static void init_ipiv( lapack_int size, lapack_int *ipiv ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ipiv[i] = 0;
    }
}

/* Auxiliary function: C interface to zgetrf results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zgetrf( lapack_complex_double *a, lapack_complex_double *a_i,
                           lapack_int *ipiv, lapack_int *ipiv_i,
                           lapack_int info, lapack_int info_i, lapack_int lda,
                           lapack_int m, lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < lda*n; i++ ) {
        failed += compare_complex_doubles(a[i],a_i[i]);
    }
    for( i = 0; i < (MIN(m,n)); i++ ) {
        failed += (ipiv[i] == ipiv_i[i]) ? 0 : 1;
    }
    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;
}