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# Byte-compiled / optimized / DLL files | ||
__pycache__/ | ||
*.py[cod] | ||
*$py.class | ||
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# Distribution / packaging | ||
.Python | ||
build/ | ||
develop-eggs/ | ||
dist/ | ||
downloads/ | ||
eggs/ | ||
.eggs/ | ||
lib/ | ||
lib64/ | ||
parts/ | ||
sdist/ | ||
var/ | ||
wheels/ | ||
share/python-wheels/ | ||
*.egg-info/ | ||
.installed.cfg | ||
*.egg | ||
MANIFEST |
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# How to Contribute | ||
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## Contributor License Agreement | ||
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Contributions to this project must be accompanied by a Contributor License | ||
Agreement. You (or your employer) retain the copyright to your contribution, | ||
this simply gives us permission to use and redistribute your contributions as | ||
part of the project. Head over to <https://cla.developers.google.com/> to see | ||
your current agreements on file or to sign a new one. | ||
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You generally only need to submit a CLA once, so if you've already submitted one | ||
(even if it was for a different project), you probably don't need to do it | ||
again. | ||
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## Code reviews | ||
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All submissions, including submissions by project members, require review. We | ||
use GitHub pull requests for this purpose. Consult | ||
[GitHub Help](https://help.github.com/articles/about-pull-requests/) for more | ||
information on using pull requests. | ||
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## Community Guidelines | ||
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This project follows [Google's Open Source Community | ||
Guidelines](https://opensource.google/conduct/). |
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# alphageometry | ||
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TODO(b/303301137): Add a description for your new project, explain what is | ||
being released here, etc... Additional, the following sections are normally | ||
expected for all releases. Feel free to add additional sections if appropriate | ||
for your project. | ||
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## Installation | ||
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Write instructions for how the user should install your code. The instructions | ||
should ideally be valid when copy-pasted. You can combine this with the Usage | ||
section if there's no separate installation step. | ||
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## Usage | ||
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Write example usage of your code. The instructions should ideally be valid when | ||
copy-pasted, and will be used by your technical reviewer to verify that your | ||
package functions correctly. | ||
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## Citing this work | ||
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Add citation details here, usually a pastable BibTeX snippet. | ||
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## License and disclaimer | ||
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Copyright 2023 DeepMind Technologies Limited | ||
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All software is licensed under the Apache License, Version 2.0 (Apache 2.0); | ||
you may not use this file except in compliance with the Apache 2.0 license. | ||
You may obtain a copy of the Apache 2.0 license at: | ||
https://www.apache.org/licenses/LICENSE-2.0 | ||
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All other materials are licensed under the Creative Commons Attribution 4.0 | ||
International License (CC-BY). You may obtain a copy of the CC-BY license at: | ||
https://creativecommons.org/licenses/by/4.0/legalcode | ||
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Unless required by applicable law or agreed to in writing, all software and | ||
materials distributed here under the Apache 2.0 or CC-BY licenses are | ||
distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, | ||
either express or implied. See the licenses for the specific language governing | ||
permissions and limitations under those licenses. | ||
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This is not an official Google product. |
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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))
CONTRIBUTING.md