35 lines
1.2 KiB
Python
35 lines
1.2 KiB
Python
|
# Python module for approximating the fixpoint of special linear functions
|
||
|
|
# _ _ _ _
|
||
|
|
# __ ___ __(_) |_| |_ ___ _ __ | |__ _ _
|
||
|
|
# \ \ /\ / / '__| | __| __/ _ \ '_ \ | '_ \| | | |
|
||
|
|
# \ V V /| | | | |_| || __/ | | | | |_) | |_| |
|
||
|
|
# \_/\_/ |_| |_|\__|\__\___|_| |_| |_.__/ \__, |
|
||
|
|
# |___/
|
||
|
|
# ____ __ __ _
|
||
|
|
# / ___|_ _____ _ __ \ \ / /__ __ _ ___| |
|
||
|
|
# \___ \ \ / / _ \ '_ \ \ \ / / _ \ / _` |/ _ \ |
|
||
|
|
# ___) \ V / __/ | | | \ V / (_) | (_| | __/ |
|
||
|
|
# |____/ \_/ \___|_| |_| \_/ \___/ \__, |\___|_|
|
||
|
|
# |___/
|
||
|
|
# Licensed under the GPLv2 License, Version 2.0 (the "License");
|
||
|
|
# Copyright (c) Sven Vogel
|
||
|
|
|
||
|
|
|
||
|
|
# iteratively approximate the fixpoint of specific linear functions
|
||
|
|
def fixpoint_approximation(start, function, iterations):
|
||
|
|
x = start
|
||
|
|
for _ in range(iterations):
|
||
|
|
x = function(x)
|
||
|
|
|
||
|
|
return x
|
||
|
|
|
||
|
|
|
||
|
|
# in order to work the linear function has to be in the form:
|
||
|
|
# ]-1.0, 1.0[ * x + k
|
||
|
|
def linear_function(x):
|
||
|
|
return 0.25 * x - 3
|
||
|
|
|
||
|
|
|
||
|
|
def test():
|
||
|
|
print("fixpoint approximation: ", fixpoint_approximation(start=1.0, function=linear_function, iterations=400))
|