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feat: add Snell's Law refraction angle calculation#14623

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soradacroi wants to merge 1 commit intoTheAlgorithms:masterfrom
soradacroi:snells_law
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feat: add Snell's Law refraction angle calculation#14623
soradacroi wants to merge 1 commit intoTheAlgorithms:masterfrom
soradacroi:snells_law

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@soradacroi soradacroi commented May 3, 2026

Describe your change:

Added snells_law.py to the physics/ directory.
This implements the calculate_refraction_angle function,
which finds the refraction angle based on Snell's Law.

The implementation handles standard refraction, the critical angle (90°), Total Internal Reflection (TIR)
and Validation logic to catch physically impossible inputs (refractive index ratios less than -1).

  • Add an algorithm?
  • Fix a bug or typo in an existing algorithm?
  • Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
  • Documentation change?

Checklist:

  • I have read CONTRIBUTING.md.
  • This pull request is all my own work -- I have not plagiarized.
  • I know that pull requests will not be merged if they fail the automated tests.
  • This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
  • All new Python files are placed inside an existing directory.
  • All filenames are in all lowercase characters with no spaces or dashes.
  • All functions and variable names follow Python naming conventions.
  • All function parameters and return values are annotated with Python type hints.
  • All functions have doctests that pass the automated testing.
  • All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
  • If this pull request resolves one or more open issues then the description above includes the issue number(s) with a closing keyword: "Fixes #ISSUE-NUMBER".

@algorithms-keeper algorithms-keeper Bot added the awaiting reviews This PR is ready to be reviewed label May 3, 2026
Comment thread physics/snells_law.py
incident_angle_radians
)

if refraction_sine > 1:
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Good check for Total Internal Reflection — this correctly catches
cases where the sine value exceeds 1 which is physically impossible.

However the check on line 57 (refraction_sine < -1) will never
be reached in practice since a negative refractive index ratio
combined with a valid incident angle would need very specific
conditions. Worth adding a comment explaining when this case
actually occurs, or combining both checks:

if not -1 <= refraction_sine <= 1:
raise ValueError("Invalid physical inputs: ratio cannot be less than -1.")

Comment thread physics/snells_law.py

# If the sine value is approximately 1.0, it's at the critical angle
# We use math.isclose to account for floating-point precision errors
if math.isclose(refraction_sine, 1.0):
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Smart use of math.isclose() here to handle floating-point precision
errors at the critical angle boundary — good defensive programming.

Suggestion: consider also handling the case where refraction_sine
is close to -1.0 symmetrically, since the current code raises a
ValueError for values slightly below -1 due to floating-point
errors, which could be confusing to callers passing valid inputs.

Comment thread physics/snells_law.py
@@ -0,0 +1,66 @@
import math
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The file is missing a module-level docstring. The repo's convention
is to have a module docstring before imports. Consider adding:

"""
Snell's Law — Refraction Angle Calculation.

Calculates the angle of refraction when light passes between two
media using Snell's Law: n1 * sin(theta1) = n2 * sin(theta2).

Reference: https://en.wikipedia.org/wiki/Snell%27s_law
"""

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