In this article, we will cover how to evaluate a 2-D Hermite_e series at points (x,y) in Python.
polynomial.hermite.hermval2d
The numpy.polynomial.hermite.hermval2d() from the NumPy library is used to Evaluate a 2-D Hermite_e series at points(x,y) in Python. If the parameters x and y are tuples or lists, they are converted to arrays otherwise they are treated as scalars and must have the same shape after conversion. In either case, x and y or their elements must support multiplication and addition with themselves as well as with the elements of c. If c is a one-dimensional array, a one is implicitly appended to its shape to make it two-dimensional. The final shape will be c.shape[2:] + x.shape.
Syntax: polynomial.hermite.hermval2d(x, y, c)
Parameters :
- x , y: array like compatible objects.
- c: array like object.
Returns : The values of the two-dimensional polynomial at coordinates formed by corresponding pairs of x and y values.
Example 1:
The NumPy package is imported. An array is created which represents coefficients of the Hermite series. polynomial.hermite.hermval2d(x, y, c) is used to evaluate a 2-D Hermite series, in the below example, arrays are given for x and y parameters which represent multiple points. The shape, datatype, and dimension of the array are found by using the .shape, .dtype, and .ndim attributes.
Python3
# import packages import numpy as np from numpy.polynomial import hermite as H # array of coefficients array = np.array([[5,6],[7,8]]) print(array) # shape of the array is print("Shape of the array is : ",array.shape) # dimension of the array print("The dimension of the array is : ",array.ndim) # Datatype of the array print("Datatype of our Array is : ",array.dtype) # evaluating a 2-d hermite series at point(x,y) print(H.hermval2d([1,1],[2,2],array)) |
Output:
[[5 6] [7 8]] Shape of the array is : (2, 2) The dimension of the array is : 2 Datatype of our Array is : int64 [107. 107.]
Example 2:
In this example, scalars are given as x and y parameters which represent a single point and the 2-d Hermite series is evaluated at that point.
Python3
# import packages import numpy as np from numpy.polynomial import hermite as H # array of coefficients array = np.array([[5,6],[7,8]]) print(array) # shape of the array is print("Shape of the array is : ",array.shape) # dimension of the array print("The dimension of the array is : ",array.ndim) # Datatype of the array print("Datatype of our Array is : ",array.dtype) # evaluating a 2-d hermite series at point(x,y) print(H.hermval2d(1,2,array)) |
Output:
[[5 6] [7 8]] Shape of the array is : (2, 2) The dimension of the array is : 2 Datatype of our Array is : int64 107.0
