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Python script to compute definite integral by simpson rule.
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#! /usr/local/bin/python3.6 | |
""" | |
Definite integral by by simpson rule | |
""" | |
import math | |
import sys | |
import traceback | |
class DefiniteIntegralSimpson: | |
M = 100 # Number of division | |
def __init__(self): | |
self.f = lambda x: math.sqrt(4 - x * x) | |
def compute(self, a, b): | |
""" | |
Computation of infinite intagral | |
""" | |
try: | |
h = (b - a) / (2 * self.M) | |
x, f_o, f_e = a, 0, 0 | |
for k in range(1, 2 * self.M - 1): | |
x += h | |
if k % 2 == 1: | |
f_o += self.f(x) | |
else: | |
f_e += self.f(x) | |
s = self.f(a) + self.f(b) | |
s += 4 * (f_o + self.f(b - h)) + 2 * f_e | |
s *= h / 3.0 | |
print(" / {:f}".format(b)) | |
print(" | f(x)dx = {:f} ".format(s)) | |
print(" / {:f}".format(a)) | |
except Exception as e: | |
raise | |
if __name__ == '__main__': | |
if len(sys.argv) < 3: | |
print("USAGE: ./definite_integral_simpson.py A B") | |
sys.exit(0) | |
a, b = list(map(float, sys.argv[1:3])) | |
if a == 0 and b == 0: | |
sys.exit(0) | |
try: | |
obj = DefiniteIntegralSimpson() | |
obj.compute(a, b) | |
except Exception as e: | |
traceback.print_exc() | |
sys.exit(1) |
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