Python | Numpy np.leggrid3d() method

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np.leggrid3d() method is used to evaluate a 3-D legendre series on the Cartesian product of x, y and z.

Syntax : np.leggrid3d(x, y, z, c)
Parameters:
x, y, z :[array_like]The three dimensional series is evaluated at the points in the Cartesian product of x, y and z. If x or y or z 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] legendre series coefficients.

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.leggrid3d() method  
  
# importing numpy as np 
  
import numpy as np  
from numpy.polynomial.legendre import leggrid3d 
  
# Input legendre series coefficients 
c = np.array([[1, 3, 5], [2, 4, 6], [10, 11, 12]])  
  
# using np.leggrid3d() method  
ans = leggrid3d([7, 9], [8, 10], [5, 6], c) 
print(ans) 

Output:

[[  878011.   1034500.5]
 [ 1351191.   1592014.5]]

Code #2 :

# Python program explaining 
# numpy.leggrid3d() method  
  
# importing numpy as np  
import numpy as np  
from numpy.polynomial.legendre import leggrid3d 
  
# Input legendre series coefficients 
c = np.array([[1, 3, 5], [2, 4, 6], [10, 11, 12]])  
  
# using np.leggrid3d() method  
ans = leggrid3d(7, 11, 12, c) 
  
print(ans) 