Created
August 3, 2012 07:04
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Python implementation of the ternary search algorithm
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#!/usr/bin/env python | |
from __future__ import print_function | |
from __future__ import division | |
def maximize(func, a, b, precision): | |
(left, right) = (a, b) | |
while True: | |
if right - left <= precision: | |
return (left + right) / 2 | |
left_third = ((2 * left) + right) / 3 | |
right_third = (left + (2 * right)) / 3 | |
if func(left_third) < func(right_third): | |
(left, right) = (left_third, right) | |
else: | |
(left, right) = (left, right_third) | |
def minimize(func, a, b, precision): | |
def neg(func): | |
def wrapper(*args, **kwargs): | |
return -1 * func(*args, **kwargs) | |
return wrapper | |
return maximize(neg(func), a, b, precision) | |
def f(x): | |
return - x**2 + 3 * x | |
def f1(x): | |
return abs(x + 1) | |
def _main(): | |
print("Max: {:6f}".format(maximize(f, -2, 5, 1e-6))) | |
print("Min: {:6f}".format(minimize(f1, -2, 5, 1e-6))) | |
if __name__ == '__main__': | |
_main() |
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