OpenBLAS/utest/test_extensions/test_daxpby.c

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

#define DATASIZE 100
#define INCREMENT 2

struct DATA_DAXPBY{
    double x_test[DATASIZE * INCREMENT];
    double x_verify[DATASIZE * INCREMENT];
    double y_test[DATASIZE * INCREMENT];
    double y_verify[DATASIZE * INCREMENT];
};

#ifdef BUILD_DOUBLE
static struct DATA_DAXPBY data_daxpby;

/**
 * Fortran API specific function
 * Test daxpby by comparing it with dscal and daxpy.
 * Compare with the following options:
 * 
 * param n - number of elements in vectors x and y
 * param alpha - scalar alpha
 * param incx - increment for the elements of x
 * param beta - scalar beta
 * param incy - increment for the elements of y
 * return norm of difference
 */
static double check_daxpby(blasint n, double alpha, blasint incx, double beta, blasint incy)
{
    blasint i;

    // dscal accept only positive increments
    blasint incx_abs = labs(incx);
    blasint incy_abs = labs(incy);

    // Fill vectors x, y
    drand_generate(data_daxpby.x_test, n * incx_abs);
    drand_generate(data_daxpby.y_test, n * incy_abs);

    // Copy vector x for daxpy
    for (i = 0; i < n * incx_abs; i++)
        data_daxpby.x_verify[i] = data_daxpby.x_test[i];

    // Copy vector y for dscal
    for (i = 0; i < n * incy_abs; i++)
        data_daxpby.y_verify[i] = data_daxpby.y_test[i];

    // Find beta*y
    BLASFUNC(dscal)(&n, &beta, data_daxpby.y_verify, &incy_abs);

    // Find sum of alpha*x and beta*y
    BLASFUNC(daxpy)(&n, &alpha, data_daxpby.x_verify, &incx,
                        data_daxpby.y_verify, &incy);
    
    BLASFUNC(daxpby)(&n, &alpha, data_daxpby.x_test, &incx,
                        &beta, data_daxpby.y_test, &incy);

    // Find the differences between output vector caculated by daxpby and daxpy
    for (i = 0; i < n * incy_abs; i++)
        data_daxpby.y_test[i] -= data_daxpby.y_verify[i];

    // Find the norm of differences
    return BLASFUNC(dnrm2)(&n, data_daxpby.y_test, &incy_abs);
}

/**
 * C API specific function
 * Test daxpby by comparing it with dscal and daxpy.
 * Compare with the following options:
 * 
 * param n - number of elements in vectors x and y
 * param alpha - scalar alpha
 * param incx - increment for the elements of x
 * param beta - scalar beta
 * param incy - increment for the elements of y
 * return norm of difference
 */
static double c_api_check_daxpby(blasint n, double alpha, blasint incx, double beta, blasint incy)
{
    blasint i;

    // dscal accept only positive increments
    blasint incx_abs = labs(incx);
    blasint incy_abs = labs(incy);

    // Copy vector x for daxpy
    for (i = 0; i < n * incx_abs; i++)
        data_daxpby.x_verify[i] = data_daxpby.x_test[i];

    // Copy vector y for dscal
    for (i = 0; i < n * incy_abs; i++)
        data_daxpby.y_verify[i] = data_daxpby.y_test[i];

    // Find beta*y
    cblas_dscal(n, beta, data_daxpby.y_verify, incy_abs);

    // Find sum of alpha*x and beta*y
    cblas_daxpy(n, alpha, data_daxpby.x_verify, incx,
                        data_daxpby.y_verify, incy);
    
    cblas_daxpby(n, alpha, data_daxpby.x_test, incx,
                        beta, data_daxpby.y_test, incy);

    // Find the differences between output vector caculated by daxpby and daxpy
    for (i = 0; i < n * incy_abs; i++)
        data_daxpby.y_test[i] -= data_daxpby.y_verify[i];

    // Find the norm of differences
    return cblas_dnrm2(n, data_daxpby.y_test, incy_abs);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 1
 */
CTEST(daxpby, inc_x_1_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha = 1.0;
    double beta = 1.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is 1
 */
CTEST(daxpby, inc_x_2_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    double alpha = 2.0;
    double beta = 1.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 2
 */
CTEST(daxpby, inc_x_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha = 1.0;
    double beta = 2.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is 2
 */
CTEST(daxpby, inc_x_2_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    double alpha = 3.0;
    double beta = 4.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is -1
 * Stride of vector y is 2
 */
CTEST(daxpby, inc_x_neg_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = -1, incy = 2;
    double alpha = 5.0;
    double beta = 4.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is -1
 */
CTEST(daxpby, inc_x_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = -1;
    double alpha = 1.0;
    double beta = 6.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is -2
 * Stride of vector y is -1
 */
CTEST(daxpby, inc_x_neg_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = -2, incy = -1;
    double alpha = 7.0;
    double beta = 3.5;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 1
 * Scalar alpha is zero
 */
CTEST(daxpby, inc_x_1_inc_y_1_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha = 0.0;
    double beta = 1.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 2
 * Scalar alpha is zero
*/
CTEST(daxpby, inc_x_1_inc_y_2_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha = 0.0;
    double beta = 1.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 1
 * Scalar beta is zero
 */
CTEST(daxpby, inc_x_1_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha = 1.0;
    double beta = 0.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is 1
 * Scalar beta is zero
*/
CTEST(daxpby, inc_x_2_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    double alpha = 1.0;
    double beta = 0.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 2
 * Scalar beta is zero
*/
CTEST(daxpby, inc_x_1_inc_y_2_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha = 1.0;
    double beta = 0.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is 2
 * Scalar beta is zero
*/
CTEST(daxpby, inc_x_2_inc_y_2_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    double alpha = 1.0;
    double beta = 0.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 1
 * Scalar alpha is zero
 * Scalar beta is zero
 */
CTEST(daxpby, inc_x_1_inc_y_1_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha = 0.0;
    double beta = 0.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 2
 * Scalar alpha is zero
 * Scalar beta is zero
*/
CTEST(daxpby, inc_x_1_inc_y_2_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha = 0.0;
    double beta = 0.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Check if n - size of vectors x, y is zero
 */
CTEST(daxpby, check_n_zero)
{
    blasint n = 0, incx = 1, incy = 1;
    double alpha = 1.0;
    double beta = 1.0;

    double norm = check_daxpby(n, alpha, incx, beta, incy);
    
    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 1
 */
CTEST(daxpby, c_api_inc_x_1_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha = 1.0;
    double beta = 1.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is 1
 */
CTEST(daxpby, c_api_inc_x_2_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    double alpha = 2.0;
    double beta = 1.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 2
 */
CTEST(daxpby, c_api_inc_x_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha = 1.0;
    double beta = 2.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is 2
 */
CTEST(daxpby, c_api_inc_x_2_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    double alpha = 3.0;
    double beta = 4.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is -1
 * Stride of vector y is 2
 */
CTEST(daxpby, c_api_inc_x_neg_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = -1, incy = 2;
    double alpha = 5.0;
    double beta = 4.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is -1
 */
CTEST(daxpby, c_api_inc_x_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = -1;
    double alpha = 1.0;
    double beta = 6.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is -2
 * Stride of vector y is -1
 */
CTEST(daxpby, c_api_inc_x_neg_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = -2, incy = -1;
    double alpha = 7.0;
    double beta = 3.5;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 1
 * Scalar alpha is zero
 */
CTEST(daxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha = 0.0;
    double beta = 1.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 2
 * Scalar alpha is zero
*/
CTEST(daxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha = 0.0;
    double beta = 1.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * 
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 1
 * Scalar beta is zero
 */
CTEST(daxpby, c_api_inc_x_1_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha = 1.0;
    double beta = 0.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is 1
 * Scalar beta is zero
*/
CTEST(daxpby, c_api_inc_x_2_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    double alpha = 1.0;
    double beta = 0.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * 
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 2
 * Scalar beta is zero
*/
CTEST(daxpby, c_api_inc_x_1_inc_y_2_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha = 1.0;
    double beta = 0.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * 
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 2
 * Stride of vector y is 2
 * Scalar beta is zero
*/
CTEST(daxpby, c_api_inc_x_2_inc_y_2_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    double alpha = 1.0;
    double beta = 0.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * 
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 1
 * Scalar alpha is zero
 * Scalar beta is zero
 */
CTEST(daxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha = 0.0;
    double beta = 0.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test daxpby by comparing it with dscal and daxpy.
 * Test with the following options:
 * 
 * Size of vectors x, y is 100
 * Stride of vector x is 1
 * Stride of vector y is 2
 * Scalar alpha is zero
 * Scalar beta is zero
*/
CTEST(daxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha = 0.0;
    double beta = 0.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Check if n - size of vectors x, y is zero
 */
CTEST(daxpby, c_api_check_n_zero)
{
    blasint n = 0, incx = 1, incy = 1;
    double alpha = 1.0;
    double beta = 1.0;

    double norm = c_api_check_daxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}
#endif