Python | Numpy np.leggrid2d() method

np.leggrid2d() method is used to evaluate a 2-D legendre series on the Cartesian product of x and y.

Syntax : np.leggrid2d(x, y, c)
Parameters:
x, y :[array_like]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] 1-D arrays of legendre series coefficients ordered from low to high.

Return : [ndarray] The values of the two dimensional legendre series at points in the Cartesian product of x and y.

Code #1 :

# Python program explaining
# numpy.leggrid2d() method

# importing numpy as np

import numpy as np
from numpy.polynomial.legendre import leggrid2d

# Input legendre series coefficients
c = np.array([[1, 3, 5], [2, 4, 6]])

# using np.leggrid2d() method
ans = leggrid2d([7, 9], [8, 10], c)
print(ans)

Output:

[[ 4751.5  7351.5]
 [ 5965.5  9229.5]]

Code #2 :

# Python program explaining
# numpy.leggrid2d() method

# importing numpy as np
import numpy as np
from numpy.polynomial.legendre import leggrid2d

# Input legendre series coefficients
c = np.array([[1, 3, 5], [2, 4, 6]])

# using np.leggrid2d() method
ans = leggrid2d(7, 8, c)

print(ans)

Output:

4751.5