OpenBLAS/utest/test_extensions/test_zgbmv.c

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#include "utest/openblas_utest.h"
#include "common.h"

#define DATASIZE 100
#define INCREMENT 1

struct DATA_ZGBMV {
    double a_test[DATASIZE * DATASIZE * 2];
    double a_band_storage[DATASIZE * DATASIZE * 2];
    double matrix[DATASIZE * DATASIZE * 2];
    double b_test[DATASIZE * 2 * INCREMENT];
    double c_test[DATASIZE * 2 * INCREMENT];
    double c_verify[DATASIZE * 2 * INCREMENT];
};

#ifdef BUILD_COMPLEX16

static struct DATA_ZGBMV data_zgbmv;

/** 
 * Transform full-storage band matrix A to band-packed storage mode.
 * 
 * param m - number of rows of A
 * param n - number of columns of A
 * param kl - number of sub-diagonals of the matrix A
 * param ku - number of super-diagonals of the matrix A
 * output param a - buffer for holding band-packed matrix
 * param lda - specifies the leading dimension of a
 * param matrix - buffer holding full-storage band matrix A 
 * param ldm - specifies the leading full-storage band matrix A
 */
static void transform_to_band_storage(blasint m, blasint n, blasint kl, 
                                      blasint ku, double* a, blasint lda,
                                      double* matrix, blasint ldm)
{
    blasint i, j, k;
    for (j = 0; j < n; j++) 
    {
        k = 2 * (ku - j);
        for (i = MAX(0, 2*(j - ku)); i < MIN(m, j + kl + 1) * 2; i+=2) 
        {
            a[(k + i) + j * lda * 2] = matrix[i + j * ldm * 2];
            a[(k + i) + j * lda * 2 + 1] = matrix[i + j * ldm * 2 + 1];
        }
    }
}

/** 
 * Generate full-storage band matrix A with kl sub-diagonals and ku super-diagonals
 * 
 * param m - number of rows of A
 * param n - number of columns of A
 * param kl - number of sub-diagonals of the matrix A
 * param ku - number of super-diagonals of the matrix A
 * output param band_matrix - buffer for full-storage band matrix.
 * param matrix - buffer holding input general matrix
 * param ldm - specifies the leading of input general matrix
 */
static void get_band_matrix(blasint m, blasint n, blasint kl, blasint ku, 
                            double *band_matrix, double *matrix, blasint ldm)
{
    blasint i, j;
    blasint k = 0;
    for (i = 0; i < n; i++)
    {
        for (j = 0; j < m * 2; j += 2)
        {
            if ((blasint)(j/2) > kl + i || i > ku + (blasint)(j/2)) 
            {
                band_matrix[i * ldm * 2 + j] = 0.0;
                band_matrix[i * ldm * 2 + j + 1] = 0.0;
                continue;
            }

            band_matrix[i * ldm * 2 + j] = matrix[k++];
            band_matrix[i * ldm * 2 + j + 1] = matrix[k++];
        }
    }
}

/**
 * Comapare results computed by zgbmv and zgemv 
 * since gbmv is gemv for band matrix
 * 
 * param trans specifies op(A), the transposition operation applied to A
 * param m - number of rows of A
 * param n - number of columns of A
 * param kl - number of sub-diagonals of the matrix A
 * param ku - number of super-diagonals of the matrix A
 * param alpha - scaling factor for the matrix-vector product
 * param lda - specifies the leading dimension of a
 * param inc_b - stride of vector b
 * param beta - scaling factor for vector c
 * param inc_c - stride of vector c
 * return norm of differences 
 */
static double check_zgbmv(char trans, blasint m, blasint n, blasint kl, blasint ku,
    double *alpha, blasint lda, blasint inc_b, double *beta, blasint inc_c)
{
    blasint i;
    blasint lenb, lenc;
    
    if(trans == 'T' || trans == 'C' || trans == 'D' || trans == 'U'){
        lenb = m;
        lenc = n;
    } else {
        lenb = n;
        lenc = m;
    }

    drand_generate(data_zgbmv.matrix, m * n * 2);
    drand_generate(data_zgbmv.b_test, 2 * (1 + (lenb - 1) * inc_b));
    drand_generate(data_zgbmv.c_test, 2 * (1 + (lenc - 1) * inc_c));

    for (i = 0; i < 2 * (1 + (lenc - 1) * inc_c); i++)
        data_zgbmv.c_verify[i] = data_zgbmv.c_test[i];

    get_band_matrix(m, n, kl, ku, data_zgbmv.a_test, data_zgbmv.matrix, m);

    transform_to_band_storage(m, n, kl, ku, data_zgbmv.a_band_storage, lda, data_zgbmv.a_test, m);

    BLASFUNC(zgemv)(&trans, &m, &n, alpha, data_zgbmv.a_test, &m, data_zgbmv.b_test,
                    &inc_b, beta, data_zgbmv.c_verify, &inc_c);

    BLASFUNC(zgbmv)(&trans, &m, &n, &kl, &ku, alpha, data_zgbmv.a_band_storage, &lda, data_zgbmv.b_test, 
                    &inc_b, beta, data_zgbmv.c_test, &inc_c);

    for (i = 0; i < 2 * (1 + (lenc - 1) * inc_c); i++)
        data_zgbmv.c_verify[i] -= data_zgbmv.c_test[i];

    return BLASFUNC(dznrm2)(&lenc, data_zgbmv.c_verify, &inc_c);
}

/**
 * Test zgbmv by comparing it against zgemv
 * with param trans is D
 */
CTEST(zgbmv, trans_D)
{
    blasint m = 50, n = 25;
    blasint inc_b = 1, inc_c = 1;
    blasint kl = 20, ku = 11;
    blasint lda = 50;
    char trans = 'D';

    double alpha[] = {7.0, 1.0};
    double beta[] = {1.5, -1.5};

    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
}

/**
 * Test zgbmv by comparing it against zgemv
 * with param trans is O
 */
CTEST(zgbmv, trans_O)
{
    blasint m = 50, n = 25;
    blasint inc_b = 1, inc_c = 1;
    blasint kl = 20, ku = 10;
    blasint lda = 50;
    char trans = 'O';

    double alpha[] = {7.0, 1.0};
    double beta[] = {1.5, -1.5};

    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
}

/**
 * Test zgbmv by comparing it against zgemv
 * with param trans is S
 */
CTEST(zgbmv, trans_S)
{
    blasint m = 50, n = 25;
    blasint inc_b = 1, inc_c = 1;
    blasint kl = 6, ku = 9;
    blasint lda = 50;
    char trans = 'S';

    double alpha[] = {7.0, 1.0};
    double beta[] = {1.5, -1.5};

    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
}

/**
 * Test zgbmv by comparing it against zgemv
 * with param trans is U
 */
CTEST(zgbmv, trans_U)
{
    blasint m = 25, n = 50;
    blasint inc_b = 1, inc_c = 1;
    blasint kl = 7, ku = 11;
    blasint lda = kl + ku + 1;
    char trans = 'U';

    double alpha[] = {7.0, 1.0};
    double beta[] = {1.5, -1.5};

    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
}

/**
 * Test zgbmv by comparing it against zgemv
 * with param trans is C
 */
CTEST(zgbmv, trans_C)
{
    blasint m = 50, n = 25;
    blasint inc_b = 1, inc_c = 1;
    blasint kl = 20, ku = 11;
    blasint lda = 50;
    char trans = 'C';

    double alpha[] = {7.0, 1.0};
    double beta[] = {1.5, -1.5};

    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
}

/**
 * Test zgbmv by comparing it against zgemv
 * with param trans is R
 */
CTEST(zgbmv, trans_R)
{
    blasint m = 50, n = 100;
    blasint inc_b = 1, inc_c = 1;
    blasint kl = 20, ku = 11;
    blasint lda = 50;
    char trans = 'R';

    double alpha[] = {7.0, 1.0};
    double beta[] = {1.5, -1.5};

    double norm = check_zgbmv(trans, m, n, kl, ku, alpha, lda, inc_b, beta, inc_c);
    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_TOL);
}
#endif