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polygrid2d(x, y, c)

This function returns the values:

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

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

Notes

versionadded

Parameters

x, y : array_like, compatible objects

The two dimensional series is evaluated at the points in the Cartesian product of x and y. 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 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 2-D polynomial on the Cartesian product of x and y.

See Also

polygrid3d
polyval
polyval2d
polyval3d

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.polyval3d numpy.polynomial.polynomial.polyval2d numpy.polynomial.polynomial.polygrid3d

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GitHub : /numpy/polynomial/polynomial.py#898
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