34 lines
1.2 KiB
Python
34 lines
1.2 KiB
Python
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# Python module for approximating a zero point of any given function
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# _ _ _ _
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# __ ___ __(_) |_| |_ ___ _ __ | |__ _ _
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# \ \ /\ / / '__| | __| __/ _ \ '_ \ | '_ \| | | |
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# \ V V /| | | | |_| || __/ | | | | |_) | |_| |
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# \_/\_/ |_| |_|\__|\__\___|_| |_| |_.__/ \__, |
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# |___/
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# ____ __ __ _
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# / ___|_ _____ _ __ \ \ / /__ __ _ ___| |
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# \___ \ \ / / _ \ '_ \ \ \ / / _ \ / _` |/ _ \ |
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# ___) \ V / __/ | | | \ V / (_) | (_| | __/ |
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# |____/ \_/ \___|_| |_| \_/ \___/ \__, |\___|_|
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# |___/
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# Licensed under the GPLv2 License, Version 2.0 (the "License");
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# Copyright (c) Sven Vogel
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def zero_point_approximation(interval, function, iterations):
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for _ in range(iterations):
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median = interval[1] - (interval[1] - interval[0]) / 2
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if function(median) > 0:
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interval[1] = median
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else:
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interval[0] = median
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return interval
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def f(x):
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return 4 * x * x * x - 7 * x * x + 5 * x - 12
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def test():
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print("Zero-point approximation: ", zero_point_approximation(interval=[-9, 9], function=f, iterations=15))
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