Python script to compute Taylor expansion (exp(x)).

taylor_expansion.py

#! /usr/local/bin/python3.6
"""
Taylor expansion (exp(x))
"""
import math
import sys
import traceback


class TaylorExpansion:
    EPS = 1e-08  # Precision

    def compute(self):
        """ Computation of Taylor expansion """
        try:
            print("    x      myexp(x)        exp(x)")
            for x in range(-50, 51, 10):
                exp, exp_2 = math.exp(x), self.__calc_exp(x)
                print("{:5.1f}{:14g}{:14g}".format(x, exp_2, exp))
        except Exception as e:
            raise


    def __calc_exp(self, x):
        """ Computation of exp(x)

        :param  float   x
        :return float exp
        """
        try:
            d = s = e = 1.0
            for k in range(1, 201):
                d = s
                e = e * abs(x) / k
                s += e
                if abs(s - d) / abs(d) < self.EPS:
                    return s if x > 0 else 1.0 / s
            return 0.0
        except Exception as e:
            raise


if __name__ == '__main__':
    try:
        obj = TaylorExpansion()
        obj.compute()
    except Exception as e:
        traceback.print_exc()
        sys.exit(1)