import sys from math import * def bisection_root_solver(f, a, b, n=10): ''' To apply the cml-arguments: f = sys.argv[1] a = int(sys.argv[2]) b = int(sys.argv[3]) ''' sign_a = -1 if compute(f(a)) < 0 else 1 sign_b = -1 if compute(f(b)) < 0 else 1 for i in range(n): m = (a-b)/float(n) sign_m = -1 if compute(f(m)) < 0 else 1 if sign_a != sign_m: b = m sign_b = sign_m elif sign_b != sign_m: a = m sign_a = sign_m print ('%s has a root in [%3f, %3f])' % (f, a, b) def compute(f): code = ''' def f(x): return %s ''' % f exec(code) bisection_root_solver('cos(pi*x)', 0, 0.82)
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