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Paulami Bhosle — R23-T051: Property tests for maths/points_are_collinear_3d.py #6

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Description

@ankushbisht01

Student: Paulami Bhosle

Task: R23-T051 · 1 of 10
Repository: https://github.com/S-AI-Projects/TheAlgorithms-Python
Assigned working branch: student/e26b07f0792

Goal

Use Hypothesis to test the code against a trusted reference or a mathematical property over thousands of random inputs. Property: three points with B = A + t·v and C = A + s·v are collinear for any t, s; perturbed points are not (watch the accuracy rounding).

Steps

  1. Write test_points_are_collinear_3d_properties.py in work/R23-T051/ using hypothesis strategies.
  2. Implement the property/reference checks described in the goal.
  3. Run it; if Hypothesis finds a failing input, reduce it to a minimal example and either fix the code (with a doctest) or document the limitation.
  4. Explain each property in PROPERTIES.md.
  5. Make the code change in the repository: maths/points_are_collinear_3d.py: doctests for the boundary cases found (nearly collinear points and the accuracy rounding). Re-run the automated check and the repo's own tests afterwards.
  6. Prepare the PR: on branch R23-T051, commit the code change plus your work/R23-T051/ evidence, put your findings in the PR description and open the PR against the org fork. For a later upstream PR, create a second branch containing only the code change (no work/ folder).

Done when

☐ Property tests: B = A + t·v and C = A + s·v are collinear for random t, s; perturbed points are not (accuracy rounding considered).
☐ maths/points_are_collinear_3d.py gains doctests for nearly-collinear points at different accuracy values.
☐ Existing 14 doctests pass.

Additional task guidance

Additional curated task guidance

Item:
maths/points_are_collinear_3d.py (126 lines; 14 doctests)

Task type:
Property-based testing

Code change (goes into the PR):
maths/points_are_collinear_3d.py: doctests for the boundary cases found (nearly collinear points and the accuracy rounding).

Automated check:
uv run --with hypothesis pytest work/R23-T051/

Prerequisites:
Linux/WSL2/Codespaces with uv (https://docs.astral.sh/uv/getting-started/installation/); run uv sync --group=test once – it installs the Python version CI uses (.python-version = 3.15t) and the test dependencies, about 1–2 GB

Upstream PR rules:
Follow CONTRIBUTING.md: type hints on every parameter/return, doctests for valid and erroneous input, snake_case file names, no duplicate of an existing implementation, no hand edits to DIRECTORY.md. CI (pytest with doctests, ruff) must pass – bots close PRs without tests or type hints. Keep work/ (benchmarks, notes, property tests) out of the upstream branch; put results in the PR description.

Source (pinned):
https://github.com/TheAlgorithms/Python/blob/574d100b7181956e9c8384552fd078165e4cc326/maths/points_are_collinear_3d.py

Change:
No change recorded

PR destination:
Preserved pilot guidance

Submission checklist

  • Complete this task and its checks.
  • Add the required evidence and link your pull request here.
  • Select this S-AI-Projects fork as the PR base repository.
  • Request instructor review.

Keep this PR focused on this task. Do not submit assignment PRs to the upstream repository.

Activity

  1. changed the title [-]Paulami Bhosle — Project tasks (R23)[/-] [+]Paulami Bhosle — R23-T051: Property tests for maths/points_are_collinear_3d.py[/+] on Nov 3, 2026
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