cpteqr_1.c

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/*  Contents: test routine for C interface to LAPACK
*   Author: Intel Corporation
*   Created in March, 2010
*
* Purpose
*
* cpteqr_1 is the test program for the C interface to LAPACK
* routine cpteqr
* 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_cpteqr( char *compz, lapack_int *n, lapack_int *ldz );
static void init_d( lapack_int size, float *d );
static void init_e( lapack_int size, float *e );
static void init_z( lapack_int size, lapack_complex_float *z );
static void init_work( lapack_int size, float *work );
static int compare_cpteqr( float *d, float *d_i, float *e, float *e_i,
                           lapack_complex_float *z, lapack_complex_float *z_i,
                           lapack_int info, lapack_int info_i, lapack_int ldz,
                           lapack_int n );

int main(void)
{
    /* Local scalars */
    char compz, compz_i;
    lapack_int n, n_i;
    lapack_int ldz, ldz_i;
    lapack_int ldz_r;
    lapack_int info, info_i;
    lapack_int i;
    int failed;

    /* Local arrays */
    float *d = NULL, *d_i = NULL;
    float *e = NULL, *e_i = NULL;
    lapack_complex_float *z = NULL, *z_i = NULL;
    float *work = NULL, *work_i = NULL;
    float *d_save = NULL;
    float *e_save = NULL;
    lapack_complex_float *z_save = NULL;
    lapack_complex_float *z_r = NULL;

    /* Iniitialize the scalar parameters */
    init_scalars_cpteqr( &compz, &n, &ldz );
    ldz_r = n+2;
    compz_i = compz;
    n_i = n;
    ldz_i = ldz;

    /* Allocate memory for the LAPACK routine arrays */
    d = (float *)LAPACKE_malloc( n * sizeof(float) );
    e = (float *)LAPACKE_malloc( (n-1) * sizeof(float) );
    z = (lapack_complex_float *)
        LAPACKE_malloc( ldz*n * sizeof(lapack_complex_float) );
    work = (float *)LAPACKE_malloc( 4*n * sizeof(float) );

    /* Allocate memory for the C interface function arrays */
    d_i = (float *)LAPACKE_malloc( n * sizeof(float) );
    e_i = (float *)LAPACKE_malloc( (n-1) * sizeof(float) );
    z_i = (lapack_complex_float *)
        LAPACKE_malloc( ldz*n * sizeof(lapack_complex_float) );
    work_i = (float *)LAPACKE_malloc( 4*n * sizeof(float) );

    /* Allocate memory for the backup arrays */
    d_save = (float *)LAPACKE_malloc( n * sizeof(float) );
    e_save = (float *)LAPACKE_malloc( (n-1) * sizeof(float) );
    z_save = (lapack_complex_float *)
        LAPACKE_malloc( ldz*n * sizeof(lapack_complex_float) );

    /* Allocate memory for the row-major arrays */
    z_r = (lapack_complex_float *)
        LAPACKE_malloc( n*(n+2) * sizeof(lapack_complex_float) );

    /* Initialize input arrays */
    init_d( n, d );
    init_e( (n-1), e );
    init_z( ldz*n, z );
    init_work( 4*n, work );

    /* Backup the ouptut arrays */
    for( i = 0; i < n; i++ ) {
        d_save[i] = d[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_save[i] = e[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_save[i] = z[i];
    }

    /* Call the LAPACK routine */
    cpteqr_( &compz, &n, d, e, z, &ldz, work, &info );

    /* Initialize input data, call the column-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < 4*n; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_cpteqr_work( LAPACK_COL_MAJOR, compz_i, n_i, d_i, e_i, z_i,
                                  ldz_i, work_i );

    failed = compare_cpteqr( d, d_i, e, e_i, z, z_i, info, info_i, ldz, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major middle-level interface to cpteqr\n" );
    } else {
        printf( "FAILED: column-major middle-level interface to cpteqr\n" );
    }

    /* Initialize input data, call the column-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < 4*n; i++ ) {
        work_i[i] = work[i];
    }
    info_i = LAPACKE_cpteqr( LAPACK_COL_MAJOR, compz_i, n_i, d_i, e_i, z_i,
                             ldz_i );

    failed = compare_cpteqr( d, d_i, e, e_i, z, z_i, info, info_i, ldz, n );
    if( failed == 0 ) {
        printf( "PASSED: column-major high-level interface to cpteqr\n" );
    } else {
        printf( "FAILED: column-major high-level interface to cpteqr\n" );
    }

    /* Initialize input data, call the row-major middle-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < 4*n; i++ ) {
        work_i[i] = work[i];
    }

    LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, z_i, ldz, z_r, n+2 );
    info_i = LAPACKE_cpteqr_work( LAPACK_ROW_MAJOR, compz_i, n_i, d_i, e_i, z_r,
                                  ldz_r, work_i );

    LAPACKE_cge_trans( LAPACK_ROW_MAJOR, n, n, z_r, n+2, z_i, ldz );

    failed = compare_cpteqr( d, d_i, e, e_i, z, z_i, info, info_i, ldz, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major middle-level interface to cpteqr\n" );
    } else {
        printf( "FAILED: row-major middle-level interface to cpteqr\n" );
    }

    /* Initialize input data, call the row-major high-level
     * interface to LAPACK routine and check the results */
    for( i = 0; i < n; i++ ) {
        d_i[i] = d_save[i];
    }
    for( i = 0; i < (n-1); i++ ) {
        e_i[i] = e_save[i];
    }
    for( i = 0; i < ldz*n; i++ ) {
        z_i[i] = z_save[i];
    }
    for( i = 0; i < 4*n; i++ ) {
        work_i[i] = work[i];
    }

    /* Init row_major arrays */
    LAPACKE_cge_trans( LAPACK_COL_MAJOR, n, n, z_i, ldz, z_r, n+2 );
    info_i = LAPACKE_cpteqr( LAPACK_ROW_MAJOR, compz_i, n_i, d_i, e_i, z_r,
                             ldz_r );

    LAPACKE_cge_trans( LAPACK_ROW_MAJOR, n, n, z_r, n+2, z_i, ldz );

    failed = compare_cpteqr( d, d_i, e, e_i, z, z_i, info, info_i, ldz, n );
    if( failed == 0 ) {
        printf( "PASSED: row-major high-level interface to cpteqr\n" );
    } else {
        printf( "FAILED: row-major high-level interface to cpteqr\n" );
    }

    /* Release memory */
    if( d != NULL ) {
        LAPACKE_free( d );
    }
    if( d_i != NULL ) {
        LAPACKE_free( d_i );
    }
    if( d_save != NULL ) {
        LAPACKE_free( d_save );
    }
    if( e != NULL ) {
        LAPACKE_free( e );
    }
    if( e_i != NULL ) {
        LAPACKE_free( e_i );
    }
    if( e_save != NULL ) {
        LAPACKE_free( e_save );
    }
    if( z != NULL ) {
        LAPACKE_free( z );
    }
    if( z_i != NULL ) {
        LAPACKE_free( z_i );
    }
    if( z_r != NULL ) {
        LAPACKE_free( z_r );
    }
    if( z_save != NULL ) {
        LAPACKE_free( z_save );
    }
    if( work != NULL ) {
        LAPACKE_free( work );
    }
    if( work_i != NULL ) {
        LAPACKE_free( work_i );
    }

    return 0;
}

/* Auxiliary function: cpteqr scalar parameters initialization */
static void init_scalars_cpteqr( char *compz, lapack_int *n, lapack_int *ldz )
{
    *compz = 'V';
    *n = 4;
    *ldz = 8;

    return;
}

/* Auxiliary functions: cpteqr array parameters initialization */
static void init_d( lapack_int size, float *d ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        d[i] = 0;
    }
    d[0] = 6.019999981e+000;
    d[1] = 2.738845587e+000;
    d[2] = 5.173556328e+000;
    d[3] = 2.467597485e+000;
}
static void init_e( lapack_int size, float *e ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        e[i] = 0;
    }
    e[0] = 2.742389441e+000;
    e[1] = 1.835962176e+000;
    e[2] = 1.695211291e+000;
}
static void init_z( lapack_int size, lapack_complex_float *z ) {
    lapack_int i;
    for( i = 0; i < size; i++ ) {
        z[i] = lapack_make_complex_float( 0.0f, 0.0f );
    }
    z[0] = lapack_make_complex_float( 1.000000000e+000, 0.000000000e+000 );
    z[8] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    z[16] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    z[24] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    z[1] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    z[9] = lapack_make_complex_float( -1.640905142e-001, -9.116137773e-002 );
    z[17] = lapack_make_complex_float( 4.492193833e-002, -1.991468519e-001 );
    z[25] = lapack_make_complex_float( -7.606251240e-001, -5.869720578e-001 );
    z[2] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    z[10] = lapack_make_complex_float( -4.740391970e-001, -6.344832182e-001 );
    z[18] = lapack_make_complex_float( -4.067592323e-001, 4.544042349e-001 );
    z[26] = lapack_make_complex_float( 2.193787694e-002, 1.733219624e-002 );
    z[3] = lapack_make_complex_float( 0.000000000e+000, 0.000000000e+000 );
    z[11] = lapack_make_complex_float( 5.287360549e-001, 2.406660616e-001 );
    z[19] = lapack_make_complex_float( -1.787167192e-001, 7.446116805e-001 );
    z[27] = lapack_make_complex_float( -2.225494087e-001, -1.631059647e-001 );
}
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 cpteqr results check */
/* Return value: 0 - test is passed, non-zero - test is failed */
static int compare_cpteqr( float *d, float *d_i, float *e, float *e_i,
                           lapack_complex_float *z, lapack_complex_float *z_i,
                           lapack_int info, lapack_int info_i, lapack_int ldz,
                           lapack_int n )
{
    lapack_int i;
    int failed = 0;
    for( i = 0; i < n; i++ ) {
        failed += compare_floats(d[i],d_i[i]);
    }
    for( i = 0; i < (n-1); i++ ) {
        failed += compare_floats(e[i],e_i[i]);
    }
    for( i = 0; i < ldz*n; i++ ) {
        failed += compare_complex_floats(z[i],z_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;
}