OpenBLAS/utest/test_extensions/test_zaxpby.c

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

#define DATASIZE 100
#define INCREMENT 2

struct DATA_ZAXPBY {
    double x_test[DATASIZE * INCREMENT * 2];
    double x_verify[DATASIZE * INCREMENT * 2];
    double y_test[DATASIZE * INCREMENT * 2];
    double y_verify[DATASIZE * INCREMENT * 2];
};
#ifdef BUILD_COMPLEX16
static struct DATA_ZAXPBY data_zaxpby;

/**
 * Fortran API specific function
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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_zaxpby(blasint n, double *alpha, blasint incx, double *beta, blasint incy)
{
    blasint i;

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

    // Fill vectors x, y
    drand_generate(data_zaxpby.x_test, n * incx_abs * 2);
    drand_generate(data_zaxpby.y_test, n * incy_abs * 2);

    // Copy vector x for zaxpy
    for (i = 0; i < n * incx_abs * 2; i++)
        data_zaxpby.x_verify[i] = data_zaxpby.x_test[i];

    // Copy vector y for zscal
    for (i = 0; i < n * incy_abs * 2; i++)
        data_zaxpby.y_verify[i] = data_zaxpby.y_test[i];

    // Find beta*y
    BLASFUNC(zscal)(&n, beta, data_zaxpby.y_verify, &incy_abs);

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

    // Find the differences between output vector caculated by zaxpby and zaxpy
    for (i = 0; i < n * incy_abs * 2; i++)
        data_zaxpby.y_test[i] -= data_zaxpby.y_verify[i];

    // Find the norm of differences
    return BLASFUNC(dznrm2)(&n, data_zaxpby.y_test, &incy_abs);
}

/**
 * C API specific function
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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_zaxpby(blasint n, double *alpha, blasint incx, double *beta, blasint incy)
{
    blasint i;

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

    // Fill vectors x, y
    drand_generate(data_zaxpby.x_test, n * incx_abs * 2);
    drand_generate(data_zaxpby.y_test, n * incy_abs * 2);

    // Copy vector x for zaxpy
    for (i = 0; i < n * incx_abs * 2; i++)
        data_zaxpby.x_verify[i] = data_zaxpby.x_test[i];

    // Copy vector y for zscal
    for (i = 0; i < n * incy_abs * 2; i++)
        data_zaxpby.y_verify[i] = data_zaxpby.y_test[i];

    // Find beta*y
    cblas_zscal(n, beta, data_zaxpby.y_verify, incy_abs);

    // Find sum of alpha*x and beta*y
    cblas_zaxpy(n, alpha, data_zaxpby.x_verify, incx,
                        data_zaxpby.y_verify, incy);
    
    cblas_zaxpby(n, alpha, data_zaxpby.x_test, incx,
                        beta, data_zaxpby.y_test, incy);

    // Find the differences between output vector caculated by zaxpby and zaxpy
    for (i = 0; i < n * incy_abs * 2; i++)
        data_zaxpby.y_test[i] -= data_zaxpby.y_verify[i];

    // Find the norm of differences
    return cblas_dznrm2(n, data_zaxpby.y_test, incy_abs);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_1_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha[] = {1.0, 1.0};
    double beta[] = {1.0, 1.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_2_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    double alpha[] = {2.0, 1.0};
    double beta[] = {1.0, 1.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha[] = {1.0, 1.0};
    double beta[] = {2.0, 1.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_2_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    double alpha[] = {3.0, 1.0};
    double beta[] = {4.0, 3.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_neg_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = -1, incy = 2;
    double alpha[] = {5.0, 2.2};
    double beta[] = {4.0, 5.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = -1;
    double alpha[] = {1.0, 1.0};
    double beta[] = {6.0, 3.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_neg_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = -2, incy = -1;
    double alpha[] = {7.0, 2.0};
    double beta[] = {3.5, 1.3};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_1_inc_y_1_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha[] = {0.0, 0.0};
    double beta[] = {1.0, 1.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_1_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha[] = {1.0, 1.0};
    double beta[] = {0.0, 0.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_1_inc_y_1_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha[] = {0.0, 0.0};
    double beta[] = {0.0, 0.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * Fortran API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, inc_x_1_inc_y_2_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha[] = {0.0, 0.0};
    double beta[] = {0.0, 0.0};

    double norm = check_zaxpby(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(zaxpby, check_n_zero)
{
    blasint n = 0, incx = 1, incy = 1;
    double alpha[] = {1.0, 1.0};
    double beta[] = {1.0, 1.0};

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

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_1_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha[] = {1.0, 1.0};
    double beta[] = {1.0, 1.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_2_inc_y_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 1;
    double alpha[] = {2.0, 1.0};
    double beta[] = {1.0, 1.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha[] = {1.0, 1.0};
    double beta[] = {2.0, 2.1};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_2_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = 2;
    double alpha[] = {3.0, 2.0};
    double beta[] = {4.0, 3.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_neg_1_inc_y_2_N_100)
{
    blasint n = DATASIZE, incx = -1, incy = 2;
    double alpha[] = {5.0, 2.0};
    double beta[] = {4.0, 3.1};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = 2, incy = -1;
    double alpha[] = {1.0, 1.0};
    double beta[] = {6.0, 2.3};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_neg_2_inc_y_neg_1_N_100)
{
    blasint n = DATASIZE, incx = -2, incy = -1;
    double alpha[] = {7.0, 1.0};
    double beta[] = {3.5, 1.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha[] = {0.0, 0.0};
    double beta[] = {1.0, 1.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_1_inc_y_1_N_100_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha[] = {1.0, 1.0};
    double beta[] = {0.0, 0.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_1_inc_y_1_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 1;
    double alpha[] = {0.0, 0.0};
    double beta[] = {0.0, 0.0};

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

    ASSERT_DBL_NEAR_TOL(0.0, norm, DOUBLE_EPS);
}

/**
 * C API specific test
 * Test zaxpby by comparing it with zscal and zaxpy.
 * 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(zaxpby, c_api_inc_x_1_inc_y_2_N_100_alpha_beta_zero)
{
    blasint n = DATASIZE, incx = 1, incy = 2;
    double alpha[] = {0.0, 0.0};
    double beta[] = {0.0, 0.0};

    double norm = c_api_check_zaxpby(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(zaxpby, c_api_check_n_zero)
{
    blasint n = 0, incx = 1, incy = 1;
    double alpha[] = {1.0, 1.0};
    double beta[] = {1.0, 1.0};

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

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