OpenBLAS/utest/test_extensions/test_saxpby.c

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

#define DATASIZE 100
#define INCREMENT 2

struct DATA_SAXPBY {
    float x_test[DATASIZE * INCREMENT];
    float x_verify[DATASIZE * INCREMENT];
    float y_test[DATASIZE * INCREMENT];
    float y_verify[DATASIZE * INCREMENT];
};
#ifdef BUILD_SINGLE
static struct DATA_SAXPBY data_saxpby;

/**
 * Fortran API specific function
 * Test saxpby by comparing it with sscal and saxpy.
 * 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 float check_saxpby(blasint n, float alpha, blasint incx, float beta, blasint incy)
{
    blasint i;

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

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

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

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

    // Find beta*y
    BLASFUNC(sscal)(&n, &beta, data_saxpby.y_verify, &incy_abs);

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

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

    // Find the norm of differences
    return BLASFUNC(snrm2)(&n, data_saxpby.y_test, &incy_abs);
}

#ifndef NO_CBLAS
/**
 * C API specific function
 * Test saxpby by comparing it with sscal and saxpy.
 * 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 float c_api_check_saxpby(blasint n, float alpha, blasint incx, float beta, blasint incy)
{
    blasint i;

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

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

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

    // Find beta*y
    cblas_sscal(n, beta, data_saxpby.y_verify, incy_abs);

    // Find sum of alpha*x and beta*y
    cblas_saxpy(n, alpha, data_saxpby.x_verify, incx,
                        data_saxpby.y_verify, incy);
    
    cblas_saxpby(n, alpha, data_saxpby.x_test, incx,
                        beta, data_saxpby.y_test, incy);

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

    // Find the norm of differences
    return cblas_snrm2(n, data_saxpby.y_test, incy_abs);
}
#endif

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_1_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    float alpha = 1.0f;
    float beta = 1.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_2_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    float alpha = 2.0f;
    float beta = 1.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    float alpha = 1.0f;
    float beta = 2.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_2_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    float alpha = 3.0f;
    float beta = 4.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_neg_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = -1, incy = 2;
    float alpha = 5.0f;
    float beta = 4.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = -1;
    float alpha = 1.0f;
    float beta = 6.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_neg_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = -2, incy = -1;
    float alpha = 7.0f;
    float beta = 3.5f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_1_inc_y_1_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    float alpha = 0.0f;
    float beta = 1.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_1_inc_y_2_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    float alpha = 0.0f;
    float beta = 1.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_1_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    float alpha = 1.0f;
    float beta = 0.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_2_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    float alpha = 1.0f;
    float beta = 0.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_1_inc_y_2_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    float alpha = 1.0f;
    float beta = 0.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_2_inc_y_2_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    float alpha = 1.0f;
    float beta = 0.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_1_inc_y_1_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    float alpha = 0.0f;
    float beta = 0.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * Fortran API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, inc_x_1_inc_y_2_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    float alpha = 0.0f;
    float beta = 0.0f;

    float norm = check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

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

    float norm = check_saxpby(n, alpha, incx, beta, incy);
    
    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

#ifndef NO_CBLAS
/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_1_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    float alpha = 1.0f;
    float beta = 1.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_2_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    float alpha = 2.0f;
    float beta = 1.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    float alpha = 1.0f;
    float beta = 2.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_2_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    float alpha = 3.0f;
    float beta = 4.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_neg_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = -1, incy = 2;
    float alpha = 5.0f;
    float beta = 4.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = -1;
    float alpha = 1.0f;
    float beta = 6.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_neg_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = -2, incy = -1;
    float alpha = 7.0f;
    float beta = 3.5f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    float alpha = 0.0f;
    float beta = 1.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    float alpha = 0.0f;
    float beta = 1.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_1_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    float alpha = 1.0f;
    float beta = 0.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_2_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    float alpha = 1.0f;
    float beta = 0.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_1_inc_y_2_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    float alpha = 1.0f;
    float beta = 0.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_2_inc_y_2_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    float alpha = 1.0f;
    float beta = 0.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    float alpha = 0.0f;
    float beta = 0.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

/**
 * C API specific test
 * Test saxpby by comparing it with sscal and saxpy.
 * 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(saxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    float alpha = 0.0f;
    float beta = 0.0f;

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}

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

    float norm = c_api_check_saxpby(n, alpha, incx, beta, incy);

    ASSERT_DBL_NEAR_TOL(0.0f, norm, SINGLE_EPS);
}
#endif
#endif