zupgtr_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* zupgtr_1 is the test program for the C interface to LAPACK
* routine zupgtr
* 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_zupgtr( char *uplo, lapack_int *n, lapack_int *ldq );
static void init_ap( lapack_int size, lapack_complex_double *ap );
static void init_tau( lapack_int size, lapack_complex_double *tau );
static void init_q( lapack_int size, lapack_complex_double *q );
static void init_work( lapack_int size, lapack_complex_double *work );
static int compare_zupgtr( lapack_complex_double *q, lapack_complex_double *q_i,
                           lapack_int info, lapack_int info_i, lapack_int ldq,
                           lapack_int n );

int main(void)
{
    /* Local scalars */
    char uplo, uplo_i;
    lapack_int n, n_i;
    lapack_int ldq, ldq_i;
    lapack_int ldq_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    lapack_complex_double *ap = NULL, *ap_i = NULL;
    lapack_complex_double *tau = NULL, *tau_i = NULL;
    lapack_complex_double *q = NULL, *q_i = NULL;
    lapack_complex_double *work = NULL, *work_i = NULL;
    lapack_complex_double *q_save = NULL;
    lapack_complex_double *ap_r = NULL;
    lapack_complex_double *q_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_zupgtr( &uplo, &n, &ldq );
    ldq_r = n+2;
    uplo_i = uplo;
    n_i = n;
    ldq_i = ldq;

    /* Allocate memory for the LAPACK routine arrays */
    ap = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    tau = (lapack_complex_double *)
        LAPACKE_malloc( (n-1) * sizeof(lapack_complex_double) );
    q = (lapack_complex_double *)
        LAPACKE_malloc( ldq*n * sizeof(lapack_complex_double) );
    work = (lapack_complex_double *)
        LAPACKE_malloc( (n-1) * sizeof(lapack_complex_double) );

    /* Allocate memory for the C interface function arrays */
    ap_i = (lapack_complex_double *)
        LAPACKE_malloc( ((n*(n+1)/2)) * sizeof(lapack_complex_double) );
    tau_i = (lapack_complex_double *)
        LAPACKE_malloc( (n-1) * sizeof(lapack_complex_double) );
    q_i = (lapack_complex_double *)
        LAPACKE_malloc( ldq*n * sizeof(lapack_complex_double) );
    work_i = (lapack_complex_double *)
        LAPACKE_malloc( (n-1) * sizeof(lapack_complex_double) );

    /* Allocate memory for the backup arrays */
    q_save = (lapack_complex_double *)
        LAPACKE_malloc( ldq*n * sizeof(lapack_complex_double) );

    /* Allocate memory for the row-major arrays */
    ap_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(n+1)/2 * sizeof(lapack_complex_double) );
    q_r = (lapack_complex_double *)
        LAPACKE_malloc( n*(n+2) * sizeof(lapack_complex_double) );

    /* Initialize input arrays */
    init_ap( (n*(n+1)/2), ap );
    init_tau( (n-1), tau );
    init_q( ldq*n, q );
    init_work( (n-1), work );

    /* Backup the ouptut arrays */
    for( i = 0; i < ldq*n; i++ ) {
        q_save[i] = q[i];
    }

    /* Call the LAPACK routine */
    zupgtr_( &uplo, &n, ap, tau, q, &ldq, work, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_i[i] = tau[i];
    }
    for( i = 0; i < ldq*n; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zupgtr_work( LAPACK_COL_MAJOR, uplo_i, n_i, ap_i, tau_i,
                                  q_i, ldq_i, work_i );

    failed = compare_zupgtr( q, q_i, info, info_i, ldq, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to zupgtr\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to zupgtr\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_i[i] = tau[i];
    }
    for( i = 0; i < ldq*n; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_zupgtr( LAPACK_COL_MAJOR, uplo_i, n_i, ap_i, tau_i, q_i,
                             ldq_i );

    failed = compare_zupgtr( q, q_i, info, info_i, ldq, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to zupgtr\n" );
    } else {
        printf( "FAILED: column-major high-level interface to zupgtr\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_i[i] = tau[i];
    }
    for( i = 0; i < ldq*n; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        work_i[i] = work[i];
    }

    LAPACKE_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, q_i, ldq, q_r, n+2 );
    info_i = LAPACKE_zupgtr_work( LAPACK_ROW_MAJOR, uplo_i, n_i, ap_r, tau_i,
                                  q_r, ldq_r, work_i );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, q_r, n+2, q_i, ldq );

    failed = compare_zupgtr( q, q_i, info, info_i, ldq, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to zupgtr\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to zupgtr\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < (n*(n+1)/2); i++ ) {
        ap_i[i] = ap[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        tau_i[i] = tau[i];
    }
    for( i = 0; i < ldq*n; i++ ) {
        q_i[i] = q_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    LAPACKE_zpp_trans( LAPACK_COL_MAJOR, uplo, n, ap_i, ap_r );
    LAPACKE_zge_trans( LAPACK_COL_MAJOR, n, n, q_i, ldq, q_r, n+2 );
    info_i = LAPACKE_zupgtr( LAPACK_ROW_MAJOR, uplo_i, n_i, ap_r, tau_i, q_r,
                             ldq_r );

    LAPACKE_zge_trans( LAPACK_ROW_MAJOR, n, n, q_r, n+2, q_i, ldq );

    failed = compare_zupgtr( q, q_i, info, info_i, ldq, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to zupgtr\n" );
    } else {
        printf( "FAILED: row-major high-level interface to zupgtr\n" );
    }

    /* Release memory */
    if( ap != NULL ) {
        LAPACKE_free( ap );
    }
    if( ap_i != NULL ) {
        LAPACKE_free( ap_i );
    }
    if( ap_r != NULL ) {
        LAPACKE_free( ap_r );
    }
    if( tau != NULL ) {
        LAPACKE_free( tau );
    }
    if( tau_i != NULL ) {
        LAPACKE_free( tau_i );
    }
    if( q != NULL ) {
        LAPACKE_free( q );
    }
    if( q_i != NULL ) {
        LAPACKE_free( q_i );
    }
    if( q_r != NULL ) {
        LAPACKE_free( q_r );
    }
    if( q_save != NULL ) {
        LAPACKE_free( q_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }

    return 0;
}

/* Auxiliary function: zupgtr scalar parameters initialization */
static void init_scalars_zupgtr( char *uplo, lapack_int *n, lapack_int *ldq )
{
    *uplo = 'L';
    *n = 4;
    *ldq = 8;

    return;
}

/* Auxiliary functions: zupgtr array parameters initialization */
static void init_ap( lapack_int size, lapack_complex_double *ap ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        ap[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    ap[0] = lapack_make_complex_double( -2.27999999999999980e+000,
                                        0.00000000000000000e+000 );
    ap[1] = lapack_make_complex_double( -4.33845594653212970e+000,
                                        0.00000000000000000e+000 );
    ap[2] = lapack_make_complex_double( 3.27860676092192380e-001,
                                        -1.25122609226443690e-001 );
    ap[3] = lapack_make_complex_double( -1.41256563750694670e-001,
                                        -3.66636483973957040e-001 );
    ap[4] = lapack_make_complex_double( -1.28456981649329280e-001,
                                        0.00000000000000000e+000 );
    ap[5] = lapack_make_complex_double( -2.02259457862261720e+000,
                                        0.00000000000000000e+000 );
    ap[6] = lapack_make_complex_double( -3.08321908008089010e-001,
                                        1.76322636472677850e-001 );
    ap[7] = lapack_make_complex_double( -1.66593253752407190e-001,
                                        0.00000000000000000e+000 );
    ap[8] = lapack_make_complex_double( -1.80232297833873440e+000,
                                        0.00000000000000000e+000 );
    ap[9] = lapack_make_complex_double( -1.92494976459826360e+000,
                                        0.00000000000000000e+000 );
}
static void init_tau( lapack_int size, lapack_complex_double *tau ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        tau[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
    tau[0] = lapack_make_complex_double( 1.41028421676675380e+000,
                                         4.67908404514893240e-001 );
    tau[1] = lapack_make_complex_double( 1.30242036943477490e+000,
                                         7.85332074252958030e-001 );
    tau[2] = lapack_make_complex_double( 1.09397371592308160e+000,
                                         -9.95574678623159850e-001 );
}
static void init_q( lapack_int size, lapack_complex_double *q ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        q[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
}
static void init_work( lapack_int size, lapack_complex_double *work ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        work[i] = lapack_make_complex_double( 0.0, 0.0 );
    }
}

/* Auxiliary function: C interface to zupgtr results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_zupgtr( lapack_complex_double *q, lapack_complex_double *q_i,
                           lapack_int info, lapack_int info_i, lapack_int ldq,
                           lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < ldq*n; i++ ) {
        failed += compare_complex_doubles(q[i],q_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;
}