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google-deepmind / alphageometry

Apache License 2.0
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Bump zipp from 3.17.0 to 3.19.1 #126

Open dependabot[bot] opened 4 months ago

dependabot[bot] commented 4 months ago

Bumps zipp from 3.17.0 to 3.19.1.

Changelog

Sourced from zipp's changelog.

v3.19.1

Bugfixes

  • Improved handling of malformed zip files. (#119)

v3.19.0

Features

  • Implement is_symlink. (#117)

v3.18.2

No significant changes.

v3.18.1

No significant changes.

v3.18.0

Features

  • Bypass ZipFile.namelist in glob for better performance. (#106)
  • Refactored glob functionality to support a more generalized solution with support for platform-specific path separators. (#108)

Bugfixes

  • Add special accounting for pypy when computing the stack level for text encoding warnings. (#114)
Commits


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Josteregg commented 4 months ago

import sympy as sp

Définir les points

A, B, C, D = sp.Point('A'), sp.Point('B'), sp.Point('C'), sp.Point('D')

Définir les droites

AB = sp.Line(A, B) CD = sp.Line(C, D) AC = sp.Line(A, C)

Vérifier si AB et CD sont parallèles

def are_parallel(line1, line2): return line1.is_parallel(line2)

Calculer les angles orientés

def oriented_angle(p1, p2, p3): return sp.geometry.util.oriented_angle(sp.Line(p1, p2), sp.Line(p2, p3))

1. Si AB et CD sont des droites parallèles distinctes, alors ∠ABC = ∠DCB

def check_statement_1(A, B, C, D): if are_parallel(AB, CD) and AB != CD: return oriented_angle(A, B, C) == oriented_angle(D, C, B) return False

2. Si B ∈ [AC], alors ∠DBA + ∠DBC = 180°

def check_statement_2(A, B, C, D): if B in AC: return oriented_angle(D, B, A) + oriented_angle(D, B, C) == sp.pi return False

3. Si ∠ABC + ∠BCD = 0°, alors les droites AB et CD sont parallèles

def check_statement_3(A, B, C, D): return oriented_angle(A, B, C) + oriented_angle(B, C, D) == 0 and are_parallel(AB, CD)

4. Si ∠ABC + ∠BCD = 180°, alors les droites AB et CD sont parallèles

def check_statement_4(A, B, C, D): return oriented_angle(A, B, C) + oriented_angle(B, C, D) == sp.pi and are_parallel(AB, CD)

Exemple de points (à remplacer par des points réels ou des tests unitaires)

A = sp.Point(0, 0) B = sp.Point(1, 1) C = sp.Point(2, 2) D = sp.Point(3, 3)

Afficher les résultats des vérifications

print("Affirmation 1 : ", check_statement_1(A, B, C, D)) print("Affirmation 2 : ", check_statement_2(A, B, C, D)) print("Affirmation 3 : ", check_statement_3(A, B, C, D)) print("Affirmation 4 : ", check_statement_4(A, B, C, D))