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@ -16,7 +16,7 @@ repos:
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- id: auto-walrus
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- repo: https://github.com/astral-sh/ruff-pre-commit
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rev: v0.7.2
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rev: v0.7.4
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hooks:
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- id: ruff
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- id: ruff-format
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@ -42,7 +42,7 @@ repos:
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pass_filenames: false
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- repo: https://github.com/abravalheri/validate-pyproject
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rev: v0.22
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rev: v0.23
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hooks:
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- id: validate-pyproject
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@ -457,6 +457,7 @@
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## Geometry
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* [Geometry](geometry/geometry.py)
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* [Shoelace](geometry/shoelace.py)
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## Graphics
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* [Bezier Curve](graphics/bezier_curve.py)
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@ -172,7 +172,7 @@ def solved(values):
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def from_file(filename, sep="\n"):
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"Parse a file into a list of strings, separated by sep."
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return open(filename).read().strip().split(sep) # noqa: SIM115
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return open(filename).read().strip().split(sep)
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def random_puzzle(assignments=17):
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30
geometry/shoelace.py
Normal file
30
geometry/shoelace.py
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@ -0,0 +1,30 @@
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def area_of_polygon(xs: list[float], ys: list[float]) -> float:
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"""
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Compute the area of a polygon. The polygon has to be planar and simple
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(not self-intersecting). The vertices have to be ordered in the
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counter-clockwise direction.
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https://en.wikipedia.org/wiki/Shoelace_formula
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Args:
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xs: list of x coordinates of the polygon vertices in counter-clockwise order
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ys: list of y coordinates of the polygon vertices in counter-clockwise order
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Returns:
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area of the polygon
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>>> from math import isclose
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>>> xs = [1, 3, 7, 4, 8]
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>>> ys = [6, 1, 2, 4, 5]
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>>> isclose(area_of_polygon(xs, ys), 16.5)
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True
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"""
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return 0.5 * sum(
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(ys[i] + ys[(i + 1) % len(ys)]) * (xs[i] - xs[(i + 1) % len(xs)])
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for i in range(len(xs))
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)
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if __name__ == "__main__":
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import doctest
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doctest.testmod()
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@ -1,4 +1,4 @@
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#!/usr/bin/env python3
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#!python
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import os
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try:
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