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polygrid3d(x, y, z, c)

This function returns the values:

$$p(a,b,c) = \sum_{i,j,k} c_{i,j,k} * a^i * b^j * c^k$$

where the points :None:None:`(a, b, c)` consist of all triples formed by taking a from x, :None:None:`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.

Notes

versionadded

Parameters

x, y, z : array_like, compatible objects: The three dimensional series is evaluated at the points in the Cartesian product of x, y, and z. If x,`y`, or z 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.

Evaluate a 3-D polynomial on the Cartesian product of x, y and z.

Examples

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

numpy.polynomial.polynomial.polyval numpy.polynomial.polynomial.polygrid2d numpy.polynomial.polynomial.polyval3d numpy.polynomial.polynomial.polyval2d

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