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polyval3d(x, y, z, c)

This function returns the values:

$$p(x,y,z) = \sum_{i,j,k} c_{i,j,k} * x^i * y^j * z^k$$

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 and they must have the same shape after conversion. 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 3 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.

Notes

versionadded

Parameters

x, y, z : array_like, compatible object: The three dimensional series is evaluated at the points :None:None:`(x, y, z)`, where x, y, and z must have the same shape. If any of 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 coefficient of the term of multi-degree i,j,k is contained in c[i,j,k] . If c has dimension greater than 3 the remaining indices enumerate multiple sets of coefficients.

Returns

values : ndarray, compatible object: The values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z.

Evaluate a 3-D polynomial at points (x, y, z).

Examples

See :

Back References

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

numpy.polynomial.polynomial.polygrid2d numpy.polynomial.polynomial.polygrid3d numpy.polynomial.polynomial.polyvander2d numpy.polynomial.polynomial.polyval2d numpy.polynomial.polynomial.polyvander3d numpy.polynomial.polynomial.polyval

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