np.leggauss() Computes the sample points and weights for Gauss-legendre quadrature. These sample points and weights will correctly integrate polynomials of degree 2*deg - 1 or less over the interval [-1, 1] with the weight function f(x) = 1
Syntax :
np.leggauss(deg)
Parameters:
deg :[int] Number of sample points and weights. It must be >= 1.Return : 1.[ndarray] 1-D ndarray containing the sample points.
2.[ndarray] 1-D ndarray containing the weights.
Code #1 :
# Python program explaining # numpy.leggauss() method     # importing numpy as np  # and numpy.polynomial.legendre module as geek import numpy as np import numpy.polynomial.legendre as geek     # Input degree = 2   degree = 2      # using np.leggauss() method res = geek.leggauss(degree)   # Resulting array of sample point and weight print (res) |
Output:
(array([-0.57735027, 0.57735027]), array([ 1., 1.]))
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Code #2 :
# Python program explaining # numpy.leggauss() method     # importing numpy as np  # and numpy.polynomial.legendre module as geek import numpy as np import numpy.polynomial.legendre as geek     # Input degree degree = 3    # using np.leggauss() method res = geek.leggauss(degree)   # Resulting array of sample point and weight print (res) |
Output:
(array([-0.77459667, 0., 0.77459667]), array([ 0.55555556, 0.88888889, 0.55555556]))
