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feat: add polynomial odd-even coefficient sum and degree functions #217

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@suleyman-kaya suleyman-kaya commented Aug 21, 2024

This PR introduces three new functions to the poly module: sum_odd_coeffs, sum_even_coeffs, and degree. These functions compute specific properties of polynomials based on their coefficients.

  1. sum_odd_coeffs:

    • Calculates the sum of the coefficients at odd indices.
    • Input: c = [a_0, a_1, ..., a_n]
    • Output: Sum of the coefficients at odd indices as a floating-point number.
  2. sum_even_coeffs:

    • Calculates the sum of the coefficients at even indices.
    • Input: c = [a_0, a_1, ..., a_n]
    • Output: Sum of the coefficients at even indices as a floating-point number.
  3. degree:

    • Returns the degree of the polynomial represented by the coefficient array.
    • Input: c = [a_0, a_1, ..., a_n]
    • Output: Degree of the polynomial as an integer.

The corresponding tests have been added to poly_test.v to verify the functionality of these new functions.

Changes:

  • Added the following functions to poly.v:
    • pub fn sum_odd_coeffs(c []f64) f64
    • pub fn sum_even_coeffs(c []f64) f64
    • pub fn degree(c []f64) int
  • Updated poly_test.v to include tests for the new functions.

Testing:

  • Added unit tests for sum_odd_coeffs, sum_even_coeffs, and degree in poly_test.v.
  • All tests have been confirmed to pass.

Summary by CodeRabbit

  • New Features

    • Introduced three new functions for polynomial operations: degree, sum_odd_coeffs, and sum_even_coeffs.
    • Enhanced functionality for analyzing polynomial structures.
  • Tests

    • Added comprehensive tests for the new functions to ensure accuracy and handle edge cases.

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coderabbitai bot commented Aug 21, 2024

Walkthrough

The recent updates introduce essential functions for polynomial operations within the poly module, enhancing its analytical capabilities. New functions—degree, sum_odd_coeffs, and sum_even_coeffs—are now available, allowing users to determine polynomial degrees and compute sums of coefficients at odd and even indices. Accompanying tests ensure these functionalities work correctly across various scenarios, bolstering reliability and usability.

Changes

Files Change Summary
poly/README.md, poly/poly.v Introduced three new public functions: degree, sum_odd_coeffs, and sum_even_coeffs for polynomial analysis, improving functionality and utility.
poly/poly_test.v Added test functions for degree, sum_odd_coeffs, and sum_even_coeffs to enhance testing coverage and ensure the correctness of polynomial operations.

Poem

🐰 In the land of polynomials, bright and fair,
New functions hop in, with a joyful flair!
Degrees are counted, odd sums in sight,
Even sums too, making math feel right.
With tests all around, we leap with glee,
Polynomial magic, come dance with me! 🎉


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Actionable comments posted: 1

Review details

Configuration used: CodeRabbit UI
Review profile: CHILL

Commits

Files that changed from the base of the PR and between bdb5c39 and fbf14e4.

Files selected for processing (3)
  • poly/README.md (1 hunks)
  • poly/poly.v (1 hunks)
  • poly/poly_test.v (1 hunks)
Additional comments not posted (8)
poly/poly_test.v (3)

57-61: Comprehensive test coverage for degree.

The test cases effectively cover typical scenarios and edge cases for the degree function.


63-67: Comprehensive test coverage for sum_odd_coeffs.

The test cases effectively cover typical scenarios and edge cases for the sum_odd_coeffs function.


69-72: Comprehensive test coverage for sum_even_coeffs.

The test cases effectively cover typical scenarios and edge cases for the sum_even_coeffs function.

poly/README.md (3)

159-170: Clear documentation for degree.

The documentation clearly describes the purpose and expected output of the degree function.


172-183: Clear documentation for sum_odd_coeffs.

The documentation clearly describes the purpose and expected output of the sum_odd_coeffs function.


185-196: Clear documentation for sum_even_coeffs.

The documentation clearly describes the purpose and expected output of the sum_even_coeffs function.

poly/poly.v (2)

324-330: Efficient implementation of sum_odd_coeffs.

The function is correctly implemented and efficiently calculates the sum of coefficients at odd indices.


335-341: Efficient implementation of sum_even_coeffs.

The function is correctly implemented and efficiently calculates the sum of coefficients at even indices.

Comment on lines +317 to +319
pub fn degree(c []f64) int {
return c.len - 1
}
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Handle zero-coefficient case in degree.

The function should handle the case where all coefficients are zero, returning -1 as the degree.

Apply this diff to handle the zero-coefficient case:

 pub fn degree(c []f64) int {
-  return c.len - 1
+  for i := c.len - 1; i >= 0; i-- {
+    if c[i] != 0.0 {
+      return i
+    }
+  }
+  return -1
 }
Committable suggestion

‼️ IMPORTANT
Carefully review the code before committing. Ensure that it accurately replaces the highlighted code, contains no missing lines, and has no issues with indentation. Thoroughly test & benchmark the code to ensure it meets the requirements.

Suggested change
pub fn degree(c []f64) int {
return c.len - 1
}
pub fn degree(c []f64) int {
for i := c.len - 1; i >= 0; i-- {
if c[i] != 0.0 {
return i
}
}
return -1
}

@suleyman-kaya
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@ulises-jeremias

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