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Evaluate a 2-D Chebyshev series on the Cartesian product of x and y with 1d array of coefficient in Python
To evaluate a 2-D Chebyshev series on the Cartesian product of x and y, use the polynomial.chebgrid2d(x, y, c) method in Python. The method returns the values of the two dimensional Chebyshev series at points in the Cartesian product of x and y. 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.
The parameter, x and y are 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. The parameter, c is an array of coefficients ordered so that the coefficient of the term of multi-degree i,j is contained in c[i,j]. If c has dimension greater than two the remaining indices enumerate multiple sets of coefficients.
Steps
At first, import the required libraries −
import numpy as np from numpy.polynomial import chebyshev as C
Create a 1d array of coefficients −
c = np.array([3, 5])
Display the array −
print("Our Array...\n",c)Check the Dimensions −
print("\nDimensions of our Array...\n",c.ndim)
Get the Datatype −
print("\nDatatype of our Array object...\n",c.dtype)Get the Shape −
print("\nShape of our Array object...\n",c.shape)
To evaluate a 2-D Chebyshev series on the Cartesian product of x and y, use the polynomial.chebgrid2d(x, y, c) method −
print("\nResult...\n",C.chebgrid2d([1,2],[1,2], c))Example
import numpy as np
from numpy.polynomial import chebyshev as C
# Create a 1d array of coefficients
c = np.array([3, 5])
# Display the array
print("Our Array...\n",c)
# Check the Dimensions
print("\nDimensions of our Array...\n",c.ndim)
# Get the Datatype
print("\nDatatype of our Array object...\n",c.dtype)
# Get the Shape
print("\nShape of our Array object...\n",c.shape)
# To evaluate a 2-D Chebyshev series on the Cartesian product of x and y, use the polynomial.chebgrid2d(x, y, c) method in Python
print("\nResult...\n",C.chebgrid2d([1,2],[1,2], c))Output
Our Array... [3 5] Dimensions of our Array... 1 Datatype of our Array object... int64 Shape of our Array object... (2,) Result... [21. 34.]
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