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Convert a polynomial to Legendre series in Python
To convert a polynomial to a Legendre series, use the legendre.poly2lag() method in Python Numpy. Convert an array representing the coefficients of a polynomial ordered from lowest degree to highest, to an array of the coefficients of the equivalent Legendre series, ordered from lowest to highest degree. The method returns a 1-D array containing the coefficients of the equivalent Legendre series. The parameter pol, is a 1-D array containing the polynomial coefficients
Steps
At first, import the required library −
import numpy as np from numpy.polynomial import legendre as L
Create an array using the numpy.array() method −
c = np.array([1, 2, 3, 4, 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 convert a polynomial to a Legendre series, use the legendre.poly2lag() method in Python Numpy −
print("\nResult (polynomial to legendre)...\n",L.poly2leg(c))Example
import numpy as np
from numpy.polynomial import legendre as L
# Create an array using the numpy.array() method
c = np.array([1, 2, 3, 4, 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 convert a polynomial to a Legendre series, use the legendre.poly2lag() method in Python Numpy
print("\nResult (polynomial to legendre)...\n",L.poly2leg(c))Output
Our Array... [1 2 3 4 5] Dimensions of our Array... 1 Datatype of our Array object... int64 Shape of our Array object... (5,) Result (polynomial to legendre)... [3. 4.4 4.85714286 1.6 1.14285714]
Updated on: 10-Mar-2022
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