meshgrid

meshgrid(*arrays: array, indexing: str = 'xy') → List[array]

Returns coordinate matrices from coordinate vectors.

Parameters:

  • arrays (array) – an arbitrary number of one-dimensional arrays representing grid coordinates. Each array should have the same numeric data type.

  • indexing (str) – Cartesian 'xy' or matrix 'ij' indexing of output. If provided zero or one one-dimensional vector(s) (i.e., the zero- and one-dimensional cases, respectively), the indexing keyword has no effect and should be ignored. Default: 'xy'.

Returns:

out (List[array]) – list of N arrays, where N is the number of provided one-dimensional input arrays. Each returned array must have rank N. For N one-dimensional arrays having lengths Ni = len(xi),

  • if matrix indexing ij, then each returned array must have the shape (N1, N2, N3, ..., Nn).

  • if Cartesian indexing xy, then each returned array must have shape (N2, N1, N3, ..., Nn).

Accordingly, for the two-dimensional case with input one-dimensional arrays of length M and N, if matrix indexing ij, then each returned array must have shape (M, N), and, if Cartesian indexing xy, then each returned array must have shape (N, M).

Similarly, for the three-dimensional case with input one-dimensional arrays of length M, N, and P, if matrix indexing ij, then each returned array must have shape (M, N, P), and, if Cartesian indexing xy, then each returned array must have shape (N, M, P).

Each returned array should have the same data type as the input arrays.