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* Remove eval from arithmetic_analysis/newton_raphson.py
* Relocate contents of arithmetic_analysis/
Delete the arithmetic_analysis/ directory and relocate its files because
the purpose of the directory was always ill-defined. "Arithmetic
analysis" isn't a field of math, and the directory's files contained
algorithms for linear algebra, numerical analysis, and physics.
Relocated the directory's linear algebra algorithms to linear_algebra/,
its numerical analysis algorithms to a new subdirectory called
maths/numerical_analysis/, and its single physics algorithm to physics/.
* updating DIRECTORY.md
---------
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
30 lines
574 B
Python
30 lines
574 B
Python
"""
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Implementing Secant method in Python
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Author: dimgrichr
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"""
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from math import exp
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def f(x: float) -> float:
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"""
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>>> f(5)
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39.98652410600183
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"""
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return 8 * x - 2 * exp(-x)
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def secant_method(lower_bound: float, upper_bound: float, repeats: int) -> float:
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"""
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>>> secant_method(1, 3, 2)
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0.2139409276214589
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"""
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x0 = lower_bound
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x1 = upper_bound
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for _ in range(repeats):
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x0, x1 = x1, x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0))
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return x1
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if __name__ == "__main__":
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print(f"Example: {secant_method(1, 3, 2)}")
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