bundles / numpy 2.4.4 / numpy / polynomial / legendre / leggrid3d
function
numpy.polynomial.legendre:leggrid3d
Signature
def leggrid3d ( x , y , z , c ) Summary
Evaluate a 3-D Legendre series on the Cartesian product of x, y, and z.
Extended Summary
This function returns the values:
where the points (a, b, c) consist of all triples formed by taking a from x, b from y, and c from z. The resulting points form a grid with x in the first dimension, y in the second, and z in the third.
The parameters x, y, and z are converted to arrays only if they are tuples or a lists, otherwise they are treated as a scalars. In either case, either x, y, and z or their elements must support multiplication and addition both with themselves and with the elements of c.
If c has fewer than three dimensions, ones are implicitly appended to its shape to make it 3-D. The shape of the result will be c.shape[3:] + x.shape + y.shape + z.shape.
Parameters
x, y, z: array_like, compatible objectsThe three dimensional series is evaluated at the points in the Cartesian product of
x,y, andz. Ifx,y, orzis 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_likeArray of coefficients ordered so that the coefficients for terms of degree i,j are contained in
c[i,j]. Ifchas dimension greater than two the remaining indices enumerate multiple sets of coefficients.
Returns
values: ndarray, compatible objectThe values of the two dimensional polynomial at points in the Cartesian product of
xandy.
See also
Aliases
-
numpy.polynomial.legendre.leggrid3d