numpy.polynomial.legendre.leggrid2d(x, y, c)
[source]
Evaluate a 2-D Legendre series on the Cartesian product of x and y.
This function returns the values:
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 + y.shape.
Parameters: |
x, y : array_like, compatible objects The two dimensional series is evaluated at the points in the Cartesian product of c : array_like Array of coefficients ordered so that the coefficient of the term of multi-degree i,j is contained in |
---|---|
Returns: |
values : ndarray, compatible object The values of the two dimensional Chebyshev series at points in the Cartesian product of |
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Licensed under the NumPy License.
https://docs.scipy.org/doc/numpy-1.13.0/reference/generated/numpy.polynomial.legendre.leggrid2d.html