Source code for naginterfaces.library.examples.quad.dim1_fin_smooth_ex

#!/usr/bin/env python3
"``naginterfaces.library.quad.dim1_fin_smooth`` Python Example."

# NAG Copyright 2017-2019.

# pylint: disable=invalid-name

from math import pi, sin

from naginterfaces.library import quad

def main():
    """
    Example for :func:`naginterfaces.library.quad.dim1_fin_smooth`.

    One-dimensional quadrature, non-adaptive, finite interval.

    >>> main()
    naginterfaces.library.quad.dim1_fin_smooth Python Example Results.
    One-dimensional quadrature, non-adaptive, finite interval.
    Approximation for the integral = -0.03183099
    """

    print('naginterfaces.library.quad.dim1_fin_smooth Python Example Results.')
    print('One-dimensional quadrature, non-adaptive, finite interval.')

    quad_res = quad.dim1_fin_smooth(
        f=lambda x: (x**2*sin(10.*pi*x)), a=0., b=1.,
        epsabs=0., epsrel=0.0001,
    )

    print('Approximation for the integral = {:1.8f}'.format(quad_res.result))

if __name__ == '__main__':
    import doctest
    import sys
    sys.exit(
        doctest.testmod(
            None, verbose=True, report=False,
            optionflags=doctest.REPORT_NDIFF,
        ).failed
    )