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polyval2d(x, y, c)

This function returns the value

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

The parameters x and y 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 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.

Notes

versionadded

Parameters

x, y : array_like, compatible objects: The two dimensional series is evaluated at the points :None:None:`(x, y)`, where x and y must have the same shape. 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 coefficient of the term of multi-degree i,j is contained in :None:None:`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 formed with pairs of corresponding values from x and y.

Evaluate a 2-D polynomial at points (x, y).

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.polyvander3d numpy.polynomial.polynomial.polyval numpy.polynomial.polynomial.polyval3d

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