Python script to compute nonlinear equation with bisection method.

nonlinear_equation.py

#! /usr/local/bin/python3.6
"""
Nonlinear equation with bisection method
"""
import sys
import traceback


class NonlinearEquation:
    EPS = 1e-08  # Precision of truncation
    LIMIT = 50   # Number of truncation

    def __init__(self):
        self.f = lambda x: x**3 - x + 1

    def compute(self):
        """
        Computation of nonlinear equation with bisection method
        """
        try:
            low, high  = -2.0, 2.0
            cnt_loop = 0
            for k in range(1, self.LIMIT + 1):
                cnt_loop = k
                x = (low + high) / 2
                if self.f(x) > 0:
                    high = x
                else:
                    low  = x
                if self.f(x) == 0 or abs(high - low) / abs(low) < self.EPS:
                    print("x = {:f}".format(x))
                    break
            if cnt_loop == self.LIMIT:
                print("収束しない")
        except Exception as e:
            raise


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