poly: edit multiply and add divide functions #213
Conversation
WalkthroughThe recent updates significantly enhance polynomial operations and introduce robust implementations for Decision Trees, Random Forests, and Support Vector Machines (SVMs). New functions improve polynomial calculations and testing, while comprehensive documentation clarifies usage. Additionally, a suite of unit tests ensures functionality across all components, contributing to a more reliable and user-friendly experience for developers working with mathematical models. Changes
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Actionable comments posted: 0
Outside diff range, codebase verification and nitpick comments (4)
poly/poly_test.v (4)
25-25: Remove unnecessary print statement.The print statement is not needed in a test function and should be removed to keep the test output clean.
- println('Add result: ${result}')
33-33: Remove unnecessary print statement.The print statement is not needed in a test function and should be removed to keep the test output clean.
- println('Subtract result: ${result}')
42-42: Remove unnecessary print statement.The print statement is not needed in a test function and should be removed to keep the test output clean.
- println('Multiply result: ${result}')
51-52: Remove unnecessary print statements.The print statements are not needed in a test function and should be removed to keep the test output clean.
- println('Divide quotient: ${quotient}') - println('Divide remainder: ${remainder}')
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Files selected for processing (2)
- poly/poly.v (10 hunks)
- poly/poly_test.v (2 hunks)
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poly/poly_test.v (2)
Line range hint
7-13:
LGTM!The test function is well-written and correctly tests the evaluation of a polynomial.
Line range hint
16-20:
LGTM!The test function is well-written and correctly tests the swapping of two numbers.
poly/poly.v (12)
Line range hint
13-24:
LGTM!The function is well-documented and correctly implements polynomial evaluation using Horner's method.
Line range hint
29-59:
LGTM!The function is well-documented and correctly implements the evaluation of a polynomial and its derivatives.
Line range hint
65-91:
LGTM!The function is well-documented and correctly implements the solution of a quadratic equation using the quadratic formula.
Line range hint
97-132:
LGTM!The function is well-documented and correctly implements the solution of a cubic equation using Cardano's formula and trigonometric solution.
137-141: LGTM!The function is well-documented and correctly implements the swapping of two numbers.
Line range hint
146-162:
LGTM!The function is well-documented and correctly implements the sorting of three numbers in ascending order.
Line range hint
173-190:
LGTM!The function is well-documented and correctly implements the creation of a companion matrix for a polynomial.
Line range hint
196-256:
LGTM!The function is well-documented and correctly implements the balancing of a companion matrix to improve numerical stability.
261-267: LGTM!The function is well-documented and correctly implements the addition of two polynomials.
273-279: LGTM!The function is well-documented and correctly implements the subtraction of two polynomials.
285-293: LGTM!The function is well-documented and correctly implements the multiplication of two polynomials.
301-323: LGTM!The function is well-documented and correctly implements the division of two polynomials using polynomial long division.
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Outside diff range, codebase verification and nitpick comments (9)
poly/README.md (9)
29-29: Clarify the output array description.The description of the output array for
eval_derivscan be made clearer by explicitly stating that the array contains the polynomial value and its derivatives.- The output array contains the values of `d^k P(x)/d x^k` for the specified value of `x`, starting with `k = 0`. + The output array contains the polynomial value and its derivatives, specifically the values of `d^k P(x)/d x^k` for the specified value of `x`, starting with `k = 0`.
43-43: Use an en dash for numerical ranges.Consider using an en dash to indicate numerical ranges for better readability.
- The number of real roots (either zero, one, or two) is returned, and their locations are returned as `[ x0, x1 ]`. + The number of real roots (either zero, one, or two) is returned, and their locations are returned as `[ x0, x1 ]`.
59-59: Remove unnecessary hyphen.The hyphen in "closely-spaced" 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] ~59-~59: 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)
75-75: Specify the language for the code block.The fenced code block should have a language specified for better syntax highlighting.
- ``` + ```consoleTools
Markdownlint
75-75: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
97-97: Remove trailing spaces.There is a trailing space that should be removed.
- Adds two polynomials: + Adds two polynomials:Tools
Markdownlint
97-97: Expected: 0 or 2; Actual: 1
Trailing spaces(MD009, no-trailing-spaces)
103-103: Clarify the result description foradd.The description of the result for the
addfunction can be made clearer by explicitly stating that the result is a polynomial with the summed coefficients.- Returns the result as `[a_0 + b_0, a_1 + b_1, ..., max(a_k, b_k), ...]`. + Returns the result as a polynomial with the summed coefficients `[a_0 + b_0, a_1 + b_1, ..., max(a_k, b_k), ...]`.
115-115: Clarify the result description forsubtract.The description of the result for the
subtractfunction can be made clearer by explicitly stating that the result is a polynomial with the subtracted coefficients.- Returns the result as `[a_0 - b_0, a_1 - b_1, ..., a_k - b_k, ...]`. + Returns the result as a polynomial with the subtracted coefficients `[a_0 - b_0, a_1 - b_1, ..., a_k - b_k, ...]`.
127-127: Clarify the result description formultiply.The description of the result for the
multiplyfunction can be made clearer by explicitly stating that the result is a polynomial with the multiplied coefficients.- Returns the result as `[c_0, c_1, ..., c_{n+m}]` where `c_k = ∑_{i+j=k} a_i * b_j`. + Returns the result as a polynomial with the multiplied coefficients `[c_0, c_1, ..., c_{n+m}]` where `c_k = ∑_{i+j=k} a_i * b_j`.
139-139: Clarify the result description fordivide.The description of the result for the
dividefunction can be made clearer by explicitly stating that the result is a tuple containing the quotient and remainder polynomials.- Uses polynomial long division algorithm. Returns `(q, r)` where `q` is the quotient and `r` is the remainder such that `a(x) = b(x) * q(x) + r(x)` and `degree(r) < degree(b)`. + Uses polynomial long division algorithm. Returns a tuple `(q, r)` where `q` is the quotient polynomial and `r` is the remainder polynomial such that `a(x) = b(x) * q(x) + r(x)` and `degree(r) < degree(b)`.
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- poly/README.md (3 hunks)
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LanguageTool
poly/README.md
[typographical] ~45-~45: 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] ~59-~59: 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
97-97: Expected: 0 or 2; Actual: 1
Trailing spaces(MD009, no-trailing-spaces)
75-75: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
Additional comments not posted (1)
poly/README.md (1)
89-89: LGTM!The description of the
balance_companion_matrixfunction is clear and accurate.
suleyman-kaya
changed the title
poly/poly.v
Outdated
| 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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could you replace all this comments
/* 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)
*/to
// 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)
poly/poly_test.v
Outdated
| println('Divide quotient: ${quotient}') | ||
| println('Divide remainder: ${remainder}') | ||
| assert quotient == [1.0, 1.0] | ||
| assert remainder == [] // boş küme bu iki polinomun tam bölündüğünü(kalansız bölündüğünü) ifade eder |
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oh sorry, i'll fixit 😅
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Actionable comments posted: 0
Outside diff range, codebase verification and nitpick comments (19)
ml/random_forest_test.v (4)
5-12: Suggestion: Add edge case tests and more assertions.The test function verifies the creation of a RandomForest object but could include edge case tests (e.g., zero or negative values) and additional assertions to ensure robustness.
+ // Add edge case tests + rf_zero := RandomForest.new(0, 0, 0, 0) + assert rf_zero.n_trees == 0 + assert rf_zero.max_depth == 0 + assert rf_zero.min_samples_split == 0 + assert rf_zero.feature_subset_size == 0 + assert rf_zero.trees.len == 0
14-24: Suggestion: Add assertions to verify the integrity of the sampled data.The test function verifies the bootstrap sample size but could include additional assertions to check the integrity of the sampled data.
+ // Add assertions to verify the integrity of the sampled data + for sample in bootstrap.samples { + assert dataset.samples.contains(sample) + }
34-54: Suggestion: Add assertions to verify prediction accuracy.The test function verifies the training and prediction capabilities but could include additional assertions to check the accuracy of the predictions.
+ // Add assertions to verify prediction accuracy + mut correct_predictions := 0 + for i in 0 .. 100 { + features := [f64(i * 10), f64(i * 20), f64(i * 30), f64(i * 40)] + prediction := rf.predict(features) + if prediction == (i % 2) { + correct_predictions += 1 + } + } + assert correct_predictions > 80 // Example threshold for accuracy
56-62: Suggestion: Improve the success message.The success message could be more informative by including the number of tests passed.
- println('All Random Forest tests passed successfully!') + println('${__FUNCTION__.len} Random Forest tests passed successfully!')ml/decision_tree_test.v (4)
5-11: Suggestion: Add edge case tests and more assertions.The test function verifies the creation of a DecisionTree object but could include edge case tests (e.g., zero or negative values) and additional assertions to ensure robustness.
+ // Add edge case tests + dt_zero := DecisionTree.new(0, 0) + assert dt_zero.max_depth == 0 + assert dt_zero.min_samples_split == 0
22-34: Suggestion: Add assertions to verify the integrity of the added samples.The test function verifies the addition of samples but could include additional assertions to check the integrity of the added samples.
+ // Add assertions to verify the integrity of the added samples + for sample in dataset.samples { + assert sample.features.len == 3 + assert sample.label >= 0 && sample.label < 4 + }
49-62: Suggestion: Add assertions to verify prediction accuracy.The test function verifies the training and prediction capabilities but could include additional assertions to check the accuracy of the predictions.
+ // Add assertions to verify prediction accuracy + mut correct_predictions := 0 + for sample in dataset.samples { + prediction := dt.predict(sample.features) + if prediction == sample.label { + correct_predictions += 1 + } + } + assert correct_predictions > 3 // Example threshold for accuracy
86-93: Suggestion: Improve the success message.The success message could be more informative by including the number of tests passed.
- println('All Decision Tree tests passed successfully!') + println('${__FUNCTION__.len} Decision Tree tests passed successfully!')ml/svm_test.v (3)
76-117: Suggestion: Add assertions to verify prediction accuracy.The test function verifies the SVM training and prediction but could include additional assertions to check the accuracy of the predictions.
+ // Add assertions to verify prediction accuracy + mut correct_predictions := 0 + for point in data { + pred := predict(model, point.x) + if pred == point.y { + correct_predictions += 1 + } + } + assert correct_predictions > 3 // Example threshold for accuracy
119-168: Suggestion: Add assertions to verify prediction accuracy.The test function verifies the multiclass SVM training and prediction but could include additional assertions to check the accuracy of the predictions.
+ // Add assertions to verify prediction accuracy + mut correct_predictions := 0 + for point in data { + predicted_class := predict_multiclass(multiclass_model, point.x) + if predicted_class == point.y { + correct_predictions += 1 + } + } + assert correct_predictions > 3 // Example threshold for accuracy
170-180: Suggestion: Improve the success message.The success message could be more informative by including the number of tests passed.
- println('All SVM tests passed successfully!') + println('${__FUNCTION__.len} SVM tests passed successfully!')poly/README.md (2)
46-50: Approved: Improved readability and grammar.The changes enhance the clarity and grammatical correctness of the description.
Apply grammatical improvements.
Add a comma after "i.e." and "for example" 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] ~48-~48: 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] ~50-~50: 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)
70-75: Approved: Improved readability and style.The changes enhance the clarity and readability of the description.
Apply style improvement.
Remove the unnecessary hyphen in "closely-spaced".
- finite precision may cause equal or closely-spaced real roots to move off the real axis + finite precision may cause equal or closely spaced real roots to move off the real axisTools
LanguageTool
[style] ~75-~75: 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)
ml/random_forest.v (3)
24-32: Approved: Correct bootstrap sample function.The
bootstrap_samplefunction correctly creates a bootstrap sample from the given dataset.Add error handling for
rand.intn.The use of
rand.intnwithout error handling might lead to unexpected behavior. Consider adding error handling.- sample_index := rand.intn(dataset.samples.len) or { 0 } + sample_index := rand.intn(dataset.samples.len) or { panic("Failed to generate random index") }
40-50: Approved: Correct training function.The
RandomForest.trainfunction correctly trains the random forest on the given dataset.Add logging for debugging.
Consider adding logging to help with debugging during the training process.
+ println("Training tree \${_ + 1} of \${rf.n_trees}")
52-65: Approved: Correct prediction function.The
RandomForest.predictfunction correctly predicts the class label for the given features using the trained random forest.Use a more descriptive sentinel value.
Consider using a more descriptive sentinel value instead of
-1for no trees.- return -1 + return -9999 // No trees availableml/decision_tree.v (3)
62-71: Approved: Correct sample addition function.The
Dataset.add_samplefunction correctly adds a sample to the dataset.Improve return type for better readability.
Consider using a more descriptive return type, such as
Result<bool, String>, for better readability and error handling.- pub fn (mut dataset Dataset) add_sample(features []f64, label int) bool { + pub fn (mut dataset Dataset) add_sample(features []f64, label int) Result<bool, String> {
89-124: Approved: Correct best split function.The
find_best_splitfunction correctly finds the best split for the dataset.Add logging for debugging.
Consider adding logging to help with debugging during the split finding process.
+ println("Evaluating feature \${feature} with threshold \${threshold}")
126-179: Approved: Correct tree building function.The
build_treefunction correctly builds a decision tree from the dataset.Add logging for debugging.
Consider adding logging to help with debugging during the tree building process.
+ println("Building tree node with feature \${best_feature} and threshold \${best_threshold}")
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Files selected for processing (9)
- ml/decision_tree.v (1 hunks)
- ml/decision_tree_test.v (1 hunks)
- ml/random_forest.v (1 hunks)
- ml/random_forest_test.v (1 hunks)
- ml/svm.v (1 hunks)
- ml/svm_test.v (1 hunks)
- poly/README.md (4 hunks)
- poly/poly.v (10 hunks)
- poly/poly_test.v (2 hunks)
Files skipped from review as they are similar to previous changes (1)
- poly/poly_test.v
Additional context used
LanguageTool
poly/README.md
[typographical] ~48-~48: 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] ~50-~50: 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] ~52-~52: 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] ~75-~75: 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
92-92: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
Additional comments not posted (47)
ml/random_forest_test.v (1)
26-32: LGTM!The test function correctly verifies the feature subset selection method.
ml/decision_tree_test.v (3)
13-20: LGTM!The test function correctly verifies the creation of a dataset object.
36-47: LGTM!The test function correctly verifies the entropy calculation method.
64-84: LGTM!The test function correctly verifies the information gain calculation method.
ml/svm_test.v (7)
6-13: LGTM!The test function correctly verifies the linear kernel function.
15-24: LGTM!The test function correctly verifies the polynomial kernel function.
26-36: LGTM!The test function correctly verifies the RBF kernel function.
38-45: LGTM!The test function correctly verifies the quadratic kernel function.
47-56: LGTM!The test function correctly verifies the custom kernel function.
58-65: LGTM!The test function correctly verifies the dot product function.
67-74: LGTM!The test function correctly verifies the vector subtraction function.
poly/README.md (6)
22-32: Approved: Improved clarity and consistency.The restructuring of the
eval_derivsfunction description enhances readability and consistency.
78-98: Approved: Clear and comprehensive description.The new section provides a clear and comprehensive overview of the
companion_matrixfunction.Tools
Markdownlint
92-92: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
100-108: Approved: Clear and comprehensive description.The new section provides a clear and comprehensive overview of the
balance_companion_matrixfunction.
110-123: Approved: Clear and comprehensive description.The new section provides a clear and comprehensive overview of the
addfunction.
124-135: Approved: Clear and comprehensive description.The new section provides a clear and comprehensive overview of the
subtractfunction.
136-159: Approved: Clear and comprehensive descriptions.The new sections provide clear and comprehensive overviews of the
multiplyanddividefunctions.ml/random_forest.v (3)
14-22: Approved: Correct initialization function.The
RandomForest.newfunction correctly initializes a newRandomForestinstance with the specified parameters.
34-38: Approved: Correct feature selection function.The
select_feature_subsetfunction correctly selects a subset of features from the given number of features.
67-70: Approved: Correct training function with feature subset.The
DecisionTree.train_with_feature_subsetfunction correctly trains the decision tree with a subset of features from the given dataset.ml/decision_tree.v (5)
36-42: Approved: Correct initialization function.The
DecisionTree.newfunction correctly initializes a newDecisionTreeinstance with the specified parameters.
44-52: Approved: Correct maximum index function.The
index_of_maxfunction correctly finds the index of the maximum value in an array.
54-60: Approved: Correct dataset creation function.The
create_datasetfunction correctly creates a new dataset with the specified number of features and classes.
73-87: Approved: Correct entropy calculation function.The
Dataset.calculate_entropyfunction correctly calculates the entropy of the dataset.
182-184: Approved: Correct training function.The
DecisionTree.trainfunction correctly trains the decision tree on the given dataset.ml/svm.v (10)
6-14: LGTM!The
SVMConfigstruct is well-defined with appropriate default values.
16-22: LGTM!The
KernelTypeenum is comprehensive and includes a custom option for flexibility.
24-24: LGTM!The
KernelFunctiontype alias correctly defines the expected function signature for kernel functions.
26-30: LGTM!The
DataPointstruct is simple and correctly represents a data point for SVM training.
32-39: LGTM!The
SVMModelstruct is well-defined and includes all necessary fields for an SVM model.
41-44: LGTM!The
MulticlassSVMstruct correctly represents a multi-class SVM model.
46-72: LGTM!The kernel functions are correctly implemented and follow standard definitions for SVM kernels. The custom kernel function is a unique addition.
74-88: LGTM!The helper functions
dot_productandvector_subtractare correctly implemented and essential for kernel computations.
90-177: LGTM!The
train_svmfunction comprehensively implements the SMO algorithm for training an SVM model.
178-254: LGTM!The remaining functions are correctly implemented and essential for the SVM model's functionality. The
train_multiclass_svmandpredict_multiclassfunctions effectively extend the SVM model to support multi-class classification.poly/poly.v (12)
Line range hint
9-24:
LGTM!The
evalfunction is correctly implemented and the documentation is clear and concise.
Line range hint
25-58:
LGTM!The
eval_derivsfunction is correctly implemented and the documentation is clear and concise.
Line range hint
59-89:
LGTM!The
solve_quadraticfunction is correctly implemented and the documentation is clear and concise.
Line range hint
90-129:
LGTM!The
solve_cubicfunction is correctly implemented and the documentation is clear and concise.
130-136: LGTM!The
swap_function is correctly implemented and the documentation is clear and concise.
Line range hint
138-156:
LGTM!The
sorted_3_function is correctly implemented and the documentation is clear and concise.
Line range hint
158-184:
LGTM!The
companion_matrixfunction is correctly implemented and the documentation is clear and concise.
Line range hint
185-249:
LGTM!The
balance_companion_matrixfunction is correctly implemented and the documentation is clear and concise.
250-259: LGTM!The
addfunction is correctly implemented and the documentation is clear and concise.
261-270: LGTM!The
subtractfunction is correctly implemented and the documentation is clear and concise.
272-283: LGTM!The
multiplyfunction is correctly implemented and the documentation is clear and concise.
285-311: LGTM!The
dividefunction is correctly implemented and the documentation is clear and concise.
This reverts commit 4aba549.
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Actionable comments posted: 10
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- poly/README.md (4 hunks)
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Markdownlint
poly/README.md
22-22: Expected: atx; Actual: setext
Heading style(MD003, heading-style)
22-22: Expected: 1; Actual: 0; Below
Headings should be surrounded by blank lines(MD022, blanks-around-headings)
25-25: Punctuation: '.'
Trailing punctuation in heading(MD026, no-trailing-punctuation)
57-57: Expected: atx; Actual: setext
Heading style(MD003, heading-style)
57-57: Expected: 1; Actual: 0; Below
Headings should be surrounded by blank lines(MD022, blanks-around-headings)
61-61: Punctuation: '.'
Trailing punctuation in heading(MD026, no-trailing-punctuation)
80-80: Expected: atx; Actual: setext
Heading style(MD003, heading-style)
80-80: Expected: 1; Actual: 0; Below
Headings should be surrounded by blank lines(MD022, blanks-around-headings)
87-87: Punctuation: '.'
Trailing punctuation in heading(MD026, no-trailing-punctuation)
106-106: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
LanguageTool
poly/README.md
[uncategorized] ~52-~52: 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] ~53-~53: 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] ~55-~55: 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] ~57-~57: 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] ~63-~63: 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] ~65-~65: 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] ~86-~86: 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)
[style] ~89-~89: 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)
Additional comments not posted (2)
poly/README.md (2)
3-3: Fix heading style and punctuation.The heading style should be consistent and the punctuation should be corrected.
-This chapter describes functions for evaluating and solving polynomials. There are routines +This chapter describes functions for evaluating and solving polynomials. There are routines.Likely invalid or redundant comment.
57-61: Fix heading style, punctuation, and use en dash for ranges.The heading style should be consistent, punctuation should be corrected, and en dash should be used for ranges.
-The number of roots found depends on the sign of the discriminant `b^2 - 4 a c`. This will -be subject to rounding and cancellation errors when computed in double precision, and will -also be subject to errors if the coefficients of the polynomial are inexact. These errors may -cause a discrete change in the number of roots. However, for polynomials with small integer -coefficients the discriminant can always be computed exactly. +The number of roots found depends on the sign of the discriminant `b^2 – 4 a c`. This will +be subject to rounding and cancellation errors when computed in double precision, and will +also be subject to errors if the coefficients of the polynomial are inexact. These errors may +cause a discrete change in the number of roots. However, for polynomials with small integer +coefficients, the discriminant can always be computed exactly.Likely invalid or redundant comment.
Tools
LanguageTool
[typographical] ~57-~57: 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)
Markdownlint
57-57: Expected: atx; Actual: setext
Heading style(MD003, heading-style)
57-57: Expected: 1; Actual: 0; Below
Headings should be surrounded by blank lines(MD022, blanks-around-headings)
61-61: Punctuation: '.'
Trailing punctuation in heading(MD026, no-trailing-punctuation)
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| The companion matrix `C` is defined as: | ||
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| ``` |
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+```vTools
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| ## Balanced Companion Matrix | ||
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| ## Polynomial Operations | ||
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| Returns the result as `[a_0 + b_0, a_1 + b_1, ..., max(a_k, b_k), ...]`. | ||
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| Returns the result as `[a_0 - b_0, a_1 - b_1, ..., a_k - b_k, ...]`. | ||
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| Returns the result as `[c_0, c_1, ..., c_{n+m}]` where `c_k = ∑_{i+j=k} a_i * b_j`. | ||
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+```v| fn divide(a []f64, b []f64) ([]f64, []f64) | ||
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| Divides two polynomials: |
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+```v| <<<<<<< HEAD | ||
| with a leading coefficient of unity. The number of real roots (either one or three) is | ||
| returned, and their locations are returned as `[ x0, x1, x2 ]`. If one real root is found | ||
| then only `[ x0 ]` is returned. When three real roots are found they are returned as | ||
| `[ x0, x1, x2 ]` in ascending order. The case of coincident roots is not considered special. | ||
| For example, the equation `(x-1)^3=0` will have three roots with exactly equal values. As | ||
| in the quadratic case, finite precision may cause equal or closely-spaced real roots to move | ||
| off the real axis into the complex plane, leading to a discrete change in the number of real roots. |
There was a problem hiding this comment.
Fix heading style, punctuation, and hyphenated adverbs.
The heading style should be consistent, punctuation should be corrected, and hyphenated adverbs should be addressed.
-with a leading coefficient of unity. The number of real roots (either one or three) is
-returned, and their locations are returned as `[ x0, x1, x2 ]`. If one real root is found
-then only `[ x0 ]` is returned. When three real roots are found they are returned as
-`[ x0, x1, x2 ]` in ascending order. The case of coincident roots is not considered special.
-For example, the equation `(x-1)^3=0` will have three roots with exactly equal values. As
-in the quadratic case, finite precision may cause equal or closely-spaced real roots to move
-off the real axis into the complex plane, leading to a discrete change in the number of real roots.
+with a leading coefficient of unity. The number of real roots (either one or three) is
+returned, and their locations are returned as `[ x0, x1, x2 ]`. If one real root is found,
+only `[ x0 ]` is returned. When three real roots are found, they are returned as
+`[ x0, x1, x2 ]` in ascending order. The case of coincident roots is not considered special.
+For example, the equation `(x-1)^3=0` will have three roots with exactly equal values. As
+in the quadratic case, finite precision may cause equal or closely spaced real roots to move
+off the real axis into the complex plane, leading to a discrete change in the number of real roots.Committable suggestion was skipped due to low confidence.
Tools
LanguageTool
[style] ~86-~86: 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
80-80: Expected: atx; Actual: setext
Heading style(MD003, heading-style)
80-80: Expected: 1; Actual: 0; Below
Headings should be surrounded by blank lines(MD022, blanks-around-headings)
87-87: Punctuation: '.'
Trailing punctuation in heading(MD026, no-trailing-punctuation)
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| fn eval(c []f64, x f64) f64 | |||
| ``` | |||
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Fix heading style and punctuation.
The heading style should be consistent and the punctuation should be corrected.
-This function evaluates a polynomial and its derivatives, storing the results in the array
+This function evaluates a polynomial and its derivatives, storing the results in the array.Committable suggestion was skipped due to low confidence.
Tools
Markdownlint
22-22: Expected: atx; Actual: setext
Heading style(MD003, heading-style)
22-22: Expected: 1; Actual: 0; Below
Headings should be surrounded by blank lines(MD022, blanks-around-headings)
| <<<<<<< HEAD | ||
| The number of real roots (either zero, one or two) is returned, and their locations are | ||
| returned as `[ x0, x1 ]`. 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 ]`. When two real roots are found they | ||
| are returned as `[ x0, x1 ]` in ascending order. The case of coincident roots is not considered | ||
| special. For example `(x-1)^2=0` will have two roots, which happen to have exactly equal values. |
There was a problem hiding this comment.
Fix heading style, punctuation, and missing commas.
The heading style should be consistent, punctuation should be corrected, and missing commas should be added.
-The number of real roots (either zero, one or two) is returned, and their locations are
-returned as `[ x0, x1 ]`. 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 ]`. When two real roots are found they
-are returned as `[ x0, x1 ]` in ascending order. The case of coincident roots is not considered
-special. For example `(x-1)^2=0` will have two roots, which happen to have exactly equal values.
+The number of real roots (either zero, one, or two) is returned, and their locations are
+returned as `[ x0, x1 ]`. 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 ]`. When two real roots are found, they
+are returned as `[ x0, x1 ]` in ascending order. The case of coincident roots is not considered
+special. For example, `(x-1)^2=0` will have two roots, which happen to have exactly equal values.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.
| <<<<<<< HEAD | |
| The number of real roots (either zero, one or two) is returned, and their locations are | |
| returned as `[ x0, x1 ]`. 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 ]`. When two real roots are found they | |
| are returned as `[ x0, x1 ]` in ascending order. The case of coincident roots is not considered | |
| special. For example `(x-1)^2=0` will have two roots, which happen to have exactly equal values. | |
| The number of real roots (either zero, one, or two) is returned, and their locations are | |
| returned as `[ x0, x1 ]`. 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 ]`. When two real roots are found, they | |
| are returned as `[ x0, x1 ]` in ascending order. The case of coincident roots is not considered | |
| special. For example, `(x-1)^2=0` will have two roots, which happen to have exactly equal values. |
Tools
LanguageTool
[uncategorized] ~52-~52: 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] ~53-~53: 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] ~55-~55: 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)
poly: add multiply and divide functions
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
add,subtract,multiply, anddivide.companion_matrixandbalance_companion_matrixfunctions for enhanced polynomial functionality.Improvements
Bug Fixes
test_substracttotest_subtract.