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chebgrid2d(x, y, c)

This function returns the values:

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

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 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 Chebyshev series at points in the Cartesian product of x and y.

Evaluate a 2-D Chebyshev series on the Cartesian product of x and y.

See Also

chebgrid3d
chebval
chebval2d
chebval3d

Examples

See :

Back References

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

numpy.polynomial.chebyshev.chebval2d numpy.polynomial.chebyshev.chebgrid3d numpy.polynomial.chebyshev.chebval numpy.polynomial.chebyshev.chebval3d

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GitHub : /numpy/polynomial/chebyshev.py#1227
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