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Evaluate a 2-D Hermite series on the Cartesian product of x and y.

This function returns the values:

.. math:: p(a,b) = \sum_{i,j} c_{i,j} * H_i(a) * H_j(b)

where the points `(a, b)` consist of all pairs formed by taking
`a` from `x` and `b` from `y`. The resulting points form a grid with
`x` in the first dimension and `y` in the second.
(more...)

        def hermgrid2d(x, y, c):
    """
    Evaluate a 2-D Hermite series on the Cartesian product of x and y.

    This function returns the values:

    .. math:: p(a,b) = \sum_{i,j} c_{i,j} * H_i(a) * H_j(b)

    where the points `(a, b)` consist of all pairs formed by taking
    `a` from `x` and `b` from `y`. The resulting points form a grid with
    `x` in the first dimension and `y` in the second.

    The parameters `x` and `y` are converted to arrays only if they are
    tuples or a lists, otherwise they are treated as a scalars. In either
    case, either `x` and `y` or their elements must support multiplication
    and addition both with themselves and with the elements of `c`.

    If `c` has fewer than two dimensions, ones are implicitly appended to
    its shape to make it 2-D. The shape of the result will be c.shape[2:] +
    x.shape.

    Parameters
    ----------
    x, y : array_like, compatible objects
        The two dimensional series is evaluated at the points in the
        Cartesian product of `x` and `y`.  If `x` or `y` is a list or
        tuple, it is first converted to an ndarray, otherwise it is left
        unchanged and, if it isn't an ndarray, it is treated as a scalar.
    c : array_like
        Array of coefficients ordered so that the coefficients for terms of
        degree i,j are contained in ``c[i,j]``. If `c` has dimension
        greater than two the remaining indices enumerate multiple sets of
        coefficients.

    Returns
    -------
    values : ndarray, compatible object
        The values of the two dimensional polynomial at points in the Cartesian
        product of `x` and `y`.

    See Also
    --------
    hermval, hermval2d, hermval3d, hermgrid3d

    Notes
    -----

    .. versionadded::1.7.0

    """
    c = hermval(x, c)
    c = hermval(y, c)
    return c
        


src/n/u/nupic-linux64-HEAD/lib64/python2.6/site-packages/numpy/polynomial/tests/test_hermite.py   nupic-linux64(Download)
        #test values
        tgt = np.einsum('i,j->ij', y1, y2)
        res = herm.hermgrid2d(x1, x2, self.c2d)
        assert_almost_equal(res, tgt)
 
        #test shape
        z = np.ones((2,3))
        res = herm.hermgrid2d(z, z, self.c2d)

src/n/u/numpy-1.8.1/numpy/polynomial/tests/test_hermite.py   numpy(Download)
        #test values
        tgt = np.einsum('i,j->ij', y1, y2)
        res = herm.hermgrid2d(x1, x2, self.c2d)
        assert_almost_equal(res, tgt)
 
        #test shape
        z = np.ones((2, 3))
        res = herm.hermgrid2d(z, z, self.c2d)