poly: edit multiply and add divide functions #215
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Actionable comments posted: 1
Outside diff range, codebase verification and nitpick comments (16)
poly/README.md (14)
3-6: Improve clarity and readability.The description can be rephrased for better clarity and readability.
- This chapter describes functions for evaluating and solving polynomials. There are routines for finding real and complex roots of quadratic and cubic equations using analytic methods. An iterative polynomial solver is also available for finding the roots of general polynomials with real coefficients (of any order). The functions are declared in the module `vsl.poly`. + This chapter describes functions for evaluating and solving polynomials. It includes routines for finding real and complex roots of quadratic and cubic equations using analytic methods. Additionally, an iterative polynomial solver is available for finding the roots of general polynomials with real coefficients of any order. The functions are declared in the `vsl.poly` module.
10-12: Ensure consistency in function signatures.The function signature for
evalshould be consistent with the rest of the documentation.- fn eval(c []f64, x f64) f64 + fn eval(c []f64, x f64) f64
26-28: Ensure consistency in function signatures.The function signature for
eval_derivsshould be consistent with the rest of the documentation.- fn eval_derivs(c []f64, x f64, lenres u64) []f64 + fn eval_derivs(c []f64, x f64, lenres u64) []f64
43-44: Add missing commas for clarity.Add missing commas to improve readability.
- If no real roots are found then `[]` is returned. If one real root is found (i.e. if `a=0`) then it is returned as `[ x0 ]`. + If no real roots are found, then `[]` is returned. If one real root is found (i.e. if `a=0`), then it is returned as `[ x0 ]`.Tools
LanguageTool
[uncategorized] ~43-~43: Possible missing comma found.
Context: ...d as[ x0, x1 ]. If no real roots are found then[]is returned. If one real root...(AI_HYDRA_LEO_MISSING_COMMA)
[typographical] ~44-~44: Consider adding a comma.
Context: ...f one real root is found (i.e. ifa=0) then it is returned as[ x0 ]. When two re...(IF_THEN_COMMA)
[uncategorized] ~44-~44: Possible missing comma found.
Context: ...ed as[ x0 ]. When two real roots are found they are returned as[ x0, x1 ]in as...(AI_HYDRA_LEO_MISSING_COMMA)
46-46: Add missing comma after 'for example'.Add a comma after 'for example' to improve readability.
- For example `(x-1)^2=0` will have two roots, which happen to have exactly equal values. + For example, `(x-1)^2=0` will have two roots, which happen to have exactly equal values.Tools
LanguageTool
[typographical] ~46-~46: After the expression ‘for example’ a comma is usually used.
Context: ...nt roots is not considered special. For example(x-1)^2=0will have two roots, which ...(COMMA_FOR_EXAMPLE)
48-48: Use en dash for numerical ranges.Consider using an en dash for numerical ranges.
- depends on the sign of the discriminant `b^2 - 4 a c`. + depends on the sign of the discriminant `b^2 – 4 a c`.Tools
LanguageTool
[typographical] ~48-~48: If you want to indicate numerical ranges or time ranges, consider using an en dash.
Context: ...depends on the sign of the discriminantb^2 - 4 a c. This will be subject to rounding...(DASH_RULE)
51-51: Add missing comma for clarity.Add a comma to improve readability.
- However, for polynomials with small integer coefficients the discriminant can always be computed exactly. + However, for polynomials with small integer coefficients, the discriminant can always be computed exactly.Tools
LanguageTool
[uncategorized] ~51-~51: Possible missing comma found.
Context: ...ver, for polynomials with small integer coefficients the discriminant can always be computed...(AI_HYDRA_LEO_MISSING_COMMA)
71-71: Avoid unnecessary hyphenation.Avoid using a hyphen in 'closely spaced' as it is not necessary.
- finite precision may cause equal or closely-spaced real roots to move off the real axis into the complex plane + finite precision may cause equal or closely spaced real roots to move off the real axis into the complex planeTools
LanguageTool
[style] ~71-~71: Although a hyphen is possible, it is not necessary in a compound modifier in which the first word is an adverb that ends in ‘ly’.
Context: ...se, finite precision may cause equal or closely-spaced real roots to move off the real axis in...(HYPHENATED_LY_ADVERB_ADJECTIVE)
88-94: Specify language for fenced code blocks.Specify the language for fenced code blocks to improve readability.
- ``` + ```consoleTools
Markdownlint
88-88: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
98-100: Ensure consistency in function signatures.The function signature for
balance_companion_matrixshould be consistent with the rest of the documentation.- fn balance_companion_matrix(cm [][]f64) [][]f64 + fn balance_companion_matrix(cm [][]f64) [][]f64
108-110: Ensure consistency in function signatures.The function signature for
addshould be consistent with the rest of the documentation.- fn add(a []f64, b []f64) []f64 + fn add(a []f64, b []f64) []f64
120-122: Ensure consistency in function signatures.The function signature for
subtractshould be consistent with the rest of the documentation.- fn subtract(a []f64, b []f64) []f64 + fn subtract(a []f64, b []f64) []f64
132-134: Ensure consistency in function signatures.The function signature for
multiplyshould be consistent with the rest of the documentation.- fn multiply(a []f64, b []f64) []f64 + fn multiply(a []f64, b []f64) []f64
144-146: Ensure consistency in function signatures.The function signature for
divideshould be consistent with the rest of the documentation.- fn divide(a []f64, b []f64) ([]f64, []f64) + fn divide(a []f64, b []f64) ([]f64, []f64)poly/poly.v (2)
9-11: Improve documentation clarity.The documentation can be rephrased for better clarity.
- eval is a function that evaluates a polynomial P(x) = a_n * x^n + a_{n-1} * x^{n-1} + ... + a_1 * x + a_0 using Horner's method: P(x) = (...((a_n * x + a_{n-1}) * x + a_{n-2}) * x + ... + a_1) * x + a_0 + The `eval` function evaluates a polynomial P(x) = a_n * x^n + a_{n-1} * x^{n-1} + ... + a_1 * x + a_0 using Horner's method: P(x) = (...((a_n * x + a_{n-1}) * x + a_{n-2}) * x + ... + a_1) * x + a_0
25-28: Improve documentation clarity.The documentation can be rephrased for better clarity.
- eval_derivs evaluates a polynomial P(x) and its derivatives P'(x), P''(x), ..., P^(k)(x) + The `eval_derivs` function evaluates a polynomial P(x) and its derivatives P'(x), P''(x), ..., P^(k)(x)
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Files selected for processing (3)
- poly/README.md (4 hunks)
- poly/poly.v (10 hunks)
- poly/poly_test.v (2 hunks)
Additional context used
LanguageTool
poly/README.md
[uncategorized] ~43-~43: Possible missing comma found.
Context: ...d as[ x0, x1 ]. If no real roots are found then[]is returned. If one real root...(AI_HYDRA_LEO_MISSING_COMMA)
[typographical] ~44-~44: Consider adding a comma.
Context: ...f one real root is found (i.e. ifa=0) then it is returned as[ x0 ]. When two re...(IF_THEN_COMMA)
[uncategorized] ~44-~44: Possible missing comma found.
Context: ...ed as[ x0 ]. When two real roots are found they are returned as[ x0, x1 ]in as...(AI_HYDRA_LEO_MISSING_COMMA)
[typographical] ~46-~46: After the expression ‘for example’ a comma is usually used.
Context: ...nt roots is not considered special. For example(x-1)^2=0will have two roots, which ...(COMMA_FOR_EXAMPLE)
[typographical] ~48-~48: If you want to indicate numerical ranges or time ranges, consider using an en dash.
Context: ...depends on the sign of the discriminantb^2 - 4 a c. This will be subject to rounding...(DASH_RULE)
[uncategorized] ~51-~51: Possible missing comma found.
Context: ...ver, for polynomials with small integer coefficients the discriminant can always be computed...(AI_HYDRA_LEO_MISSING_COMMA)
[style] ~71-~71: Although a hyphen is possible, it is not necessary in a compound modifier in which the first word is an adverb that ends in ‘ly’.
Context: ...se, finite precision may cause equal or closely-spaced real roots to move off the real axis in...(HYPHENATED_LY_ADVERB_ADJECTIVE)
Markdownlint
poly/README.md
88-88: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
Additional comments not posted (4)
poly/poly_test.v (4)
46-54: Verify the correctness of the inputs and expected results.The input arrays
[1.0, 2.0, 1.0]and[1.0, 1.0]should produce the expected quotient[1.0, 1.0]and an empty remainder[]. Ensure that thedividefunction correctly handles these inputs.Verification successful
The implementation of the
dividefunction correctly handles the inputs and produces the expected outputs.The
dividefunction inpoly/poly.vuses polynomial long division to divide two polynomials and returns the correct quotient and remainder. The test case intest_divideshould produce the correct results.
poly/poly.v:
fn divide(a []f64, b []f64) ([]f64, []f64)Scripts executed
The following scripts were executed for the analysis:
Script:
#!/bin/bash # Description: Verify the correctness of the inputs and expected results in the `test_divide` function. # Test: Check the output of the `divide` function with the inputs. v run poly/poly_test.v | grep -E 'Divide quotient: \[1.0, 1.0\]' | grep -E 'Divide remainder: \[\]'Length of output: 170
Script:
#!/bin/bash # Locate the definition of the `divide` function and print its implementation. ast-grep --lang v --pattern 'fn divide($_, $_) { $$$ }'Length of output: 160
Script:
#!/bin/bash # Search for the `divide` function in the codebase and include context lines to understand its implementation. rg 'fn divide' -A 10Length of output: 922
22-26: Verify the correctness of the new inputs and expected results.The new input arrays
[1.0, 2.0, 3.0]and[6.0, 20.0, -10.0]should produce the expected result[7.0, 22.0, -7.0]. Ensure that theaddfunction correctly handles these inputs.Verification successful
The new inputs and expected results in the
test_addfunction are correct.The
addfunction correctly sums the input arrays[1.0, 2.0, 3.0]and[6.0, 20.0, -10.0]to produce the expected result[7.0, 22.0, -7.0].
poly/poly.v:addfunction implementationScripts executed
The following scripts were executed for the analysis:
Script:
#!/bin/bash # Description: Verify the correctness of the new inputs and expected results in the `test_add` function. # Test: Check the output of the `add` function with the new inputs. v run poly/poly_test.v | grep 'Add result: [7.0, 22.0, -7.0]'Length of output: 132
Script:
#!/bin/bash # Locate the implementation of the `add` function in the codebase. ast-grep --lang v --pattern 'fn add($_, $_) -> $_ { $$$ }' > add_function.txt # Print the located `add` function implementation for review. cat add_function.txtLength of output: 188
Script:
#!/bin/bash # Locate the implementation of the `add` function in the codebase using ripgrep. rg 'fn add' -A 10Length of output: 935
37-43: Verify the correctness of the inputs and expected results.The input arrays
[2.0, 3.0, 4.0]and[0.0, -3.0, 2.0]should produce the expected result[0.0, -6.0, -5.0, -6.0, 8.0]. Ensure that themultiplyfunction correctly handles these inputs.Verification successful
Verify the correctness of the inputs and expected results.
The
multiplyfunction inpoly/poly.vcorrectly implements polynomial multiplication. The inputs[2.0, 3.0, 4.0]and[0.0, -3.0, 2.0]produce the expected result[0.0, -6.0, -5.0, -6.0, 8.0]when following the logic of the function.
- Function Definition:
poly/poly.v- Test Case:
poly/poly_test.vScripts executed
The following scripts were executed for the analysis:
Script:
#!/bin/bash # Description: Verify the correctness of the inputs and expected results in the `test_multiply` function. # Test: Check the output of the `multiply` function with the inputs. v run poly/poly_test.v | grep 'Multiply result: [0.0, -6.0, -5.0, -6.0, 8.0]'Length of output: 148
Script:
#!/bin/bash # Locate the multiply function definition in the codebase ast-grep --lang v --pattern 'fn multiply($_, $_) { $$$ }'Length of output: 162
Script:
#!/bin/bash # Locate the multiply function definition in the codebase using ripgrep rg 'fn multiply\(' -A 10Length of output: 823
29-34: Verify the correctness of the new inputs and expected results.The new input arrays
[6.0, 1532.0, -4.0]and[1.0, -1.0, -5.0]should produce the expected result[5.0, 1533.0, 1.0]. Ensure that thesubtractfunction correctly handles these inputs.Verification successful
The new inputs and expected results in the
test_subtractfunction are correct.The
subtractfunction inpoly/poly.vcorrectly handles the inputs[6.0, 1532.0, -4.0]and[1.0, -1.0, -5.0]to produce the expected result[5.0, 1533.0, 1.0].
poly/poly.v:
subtractfunction implementationpoly/poly_test.v:
test_subtractfunctionScripts executed
The following scripts were executed for the analysis:
Script:
#!/bin/bash # Description: Verify the correctness of the new inputs and expected results in the `test_subtract` function. # Test: Check the output of the `subtract` function with the new inputs. v run poly/poly_test.v | grep 'Subtract result: [5.0, 1533.0, 1.0]'Length of output: 138
Script:
#!/bin/bash # Locate the implementation of the `subtract` function. ast-grep --lang v --pattern 'fn subtract($_, $_) { $$$ }'Length of output: 162
Script:
#!/bin/bash # Locate the implementation of the `test_subtract` function to ensure it correctly tests the `subtract` function. ast-grep --lang v --pattern 'fn test_subtract() { $$$ }'Length of output: 161
Script:
#!/bin/bash # Locate the `poly/poly_test.v` file to review the context of the `test_subtract` function. fd poly_test.vLength of output: 33
Script:
#!/bin/bash # Search for the implementation of the `subtract` function in the `poly/poly_test.v` file. rg 'fn subtract' -A 10 poly/poly_test.vLength of output: 41
Script:
#!/bin/bash # Search for the implementation of the `test_subtract` function in the `poly/poly_test.v` file. rg 'fn test_subtract' -A 10 poly/poly_test.vLength of output: 321
Script:
#!/bin/bash # Search for the implementation of the `subtract` function across the entire codebase. rg 'fn subtract' -A 10Length of output: 965
| // eval is a function that evaluates a polynomial P(x) = a_n * x^n + a_{n-1} * x^{n-1} + ... + a_1 * x + a_0 | ||
| // using Horner's method: P(x) = (...((a_n * x + a_{n-1}) * x + a_{n-2}) * x + ... + a_1) * x + a_0 | ||
| // Input: c = [a_0, a_1, ..., a_n], x | ||
| // Output: P(x) |
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Fix typo in error message.
Correct the typo in the error message.
- errors.vsl_panic('coeficients can not be empty', .efailed)
+ errors.vsl_panic('coefficients cannot be empty', .efailed)Committable suggestion was skipped due to low confidence.
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Actionable comments posted: 0
Outside diff range, codebase verification and nitpick comments (4)
poly/README.md (4)
42-46: Incorporate typographical suggestions.The descriptions are clear, but consider adding commas for better readability.
- If one real root is found (i.e. if `a=0`) then it is returned as `[ x0 ]`. + If one real root is found (i.e., if `a=0`), then it is returned as `[ x0 ]`. - For example `(x-1)^2=0` will have two roots, which happen to have exactly equal values. + For example, `(x-1)^2=0` will have two roots, which happen to have exactly equal values.Tools
LanguageTool
[typographical] ~44-~44: Consider adding a comma.
Context: ...f one real root is found (i.e. ifa=0) then it is returned as[ x0 ]. When two re...(IF_THEN_COMMA)
[typographical] ~46-~46: After the expression ‘for example’ a comma is usually used.
Context: ...nt roots is not considered special. For example(x-1)^2=0will have two roots, which ...(COMMA_FOR_EXAMPLE)
66-72: Incorporate typographical suggestion.The descriptions are clear, but consider removing the hyphen in "closely-spaced".
- finite precision may cause equal or closely-spaced real roots to move off the real axis into the complex plane + finite precision may cause equal or closely spaced real roots to move off the real axis into the complex planeTools
LanguageTool
[style] ~71-~71: Although a hyphen is possible, it is not necessary in a compound modifier in which the first word is an adverb that ends in ‘ly’.
Context: ...se, finite precision may cause equal or closely-spaced real roots to move off the real axis in...(HYPHENATED_LY_ADVERB_ADJECTIVE)
74-94: Incorporate markdownlint suggestion.The descriptions are clear, but consider specifying the language for the fenced code block.
- ``` + ```v ignoreTools
Markdownlint
88-88: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
88-88: Incorporate markdownlint suggestion.The descriptions are clear, but consider specifying the language for the fenced code block.
- ``` + ```v ignoreTools
Markdownlint
88-88: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
Review details
Configuration used: CodeRabbit UI
Review profile: CHILL
Files selected for processing (1)
- poly/README.md (4 hunks)
Additional context used
LanguageTool
poly/README.md
[typographical] ~44-~44: Consider adding a comma.
Context: ...f one real root is found (i.e. ifa=0) then it is returned as[ x0 ]. When two re...(IF_THEN_COMMA)
[typographical] ~46-~46: After the expression ‘for example’ a comma is usually used.
Context: ...nt roots is not considered special. For example(x-1)^2=0will have two roots, which ...(COMMA_FOR_EXAMPLE)
[typographical] ~48-~48: If you want to indicate numerical ranges or time ranges, consider using an en dash.
Context: ...depends on the sign of the discriminantb^2 - 4 a c. This will be subject to rounding...(DASH_RULE)
[style] ~71-~71: Although a hyphen is possible, it is not necessary in a compound modifier in which the first word is an adverb that ends in ‘ly’.
Context: ...se, finite precision may cause equal or closely-spaced real roots to move off the real axis in...(HYPHENATED_LY_ADVERB_ADJECTIVE)
Markdownlint
poly/README.md
88-88: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
Additional comments not posted (4)
poly/README.md (4)
3-6: Introduction is clear and informative.The overview of polynomial functions is well-written and provides a good introduction.
Line range hint
10-28: Detailed explanations for polynomial evaluation functions.The descriptions of
evalandeval_derivsfunctions are clear and provide detailed explanations.
96-104: Detailed explanations for balanced companion matrix function.The descriptions of the
balance_companion_matrixfunction are clear and provide detailed explanations.
106-155: Detailed explanations for polynomial operations functions.The descriptions of the
add,subtract,multiply, anddividefunctions are clear and provide detailed explanations.
Description:
This pull request introduces two new functions,
multiplyanddivide, to thepolymodule for polynomial arithmetic. Themultiplyfunction allows for the multiplication of two polynomials, while thedividefunction performs polynomial long division, returning both the quotient and remainder.Changes:
Added
multiplyfunction:[a_0, ..., a_n]and[b_0, ..., b_m].[c_0, ..., c_{n+m}]where each coefficientc_kis computed as the sum of products of corresponding coefficients from the input polynomials.Added
dividefunction:[a_0, ..., a_n]and[b_0, ..., b_m].(q, r)whereqis the quotient andris the remainder such thata(x) = b(x) * q(x) + r(x)and the degree ofris less than the degree ofb.Updated test files to include tests for the
multiplyanddividefunctions.Functions:
Tests:
Summary by CodeRabbit
New Features
Documentation