Add partial derivatives and tests #209
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WalkthroughThe recent updates enhance the derivative module by introducing a new Changes
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deriv/deriv_test.v (4)
72-74: LGTM!The function correctly implements ( f(x, y) = x^2 + y^2 ).
76-78: LGTM!The function correctly implements ( \frac{\partial f}{\partial x} = 2x ).
80-82: LGTM!The function correctly implements ( \frac{\partial f}{\partial y} = 2y ).
117-127: LGTM!The test cases for the partial derivatives of
f_multiare well-constructed and ensure correctness within a specified tolerance.deriv/deriv.v (1)
117-145: LGTM! But verify the function usage in the codebase.The code changes are approved.
However, ensure that all function calls to
partialmatch the new signature.
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Actionable comments posted: 1
Outside diff range, codebase verification and nitpick comments (4)
deriv/README.md (4)
1-1: Provide more context for the limitation in performing advanced data analysis.The introductory note is clear, but it would be helpful to explain why advanced data analysis is not possible at the moment.
80-80: Consider using a shorter alternative for "with respect to".The phrase "with respect to" might be wordy. Consider using "regarding" or "for".
- This function computes the partial derivative of a multivariable function `f` with respect to a specified variable at the point `x` using the central difference method with a step-size of `h`. + This function computes the partial derivative of a multivariable function `f` for a specified variable at the point `x` using the central difference method with a step-size of `h`.Tools
LanguageTool
[style] ~80-~80: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ...ivative of a multivariable functionfwith respect to a specified variable at the pointxu...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
82-82: Consider using a shorter alternative for "with respect to".The phrase "with respect to" might be wordy. Consider using "regarding" or "for".
- The `variable` parameter specifies the index of the variable with respect to which the partial derivative is to be computed. + The `variable` parameter specifies the index of the variable for which the partial derivative is to be computed.Tools
LanguageTool
[style] ~82-~82: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ...ter specifies the index of the variable with respect to which the partial derivative is to be c...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
84-84: Avoid redundancy in mentioning the initial value ofh.The initial value of
his mentioned twice, which could be redundant. Consider combining the information into a single sentence.- The initial value of `h` is used to estimate an optimal step-size, based on the scaling of the truncation error and round-off error in the derivative calculation. The partial derivative is computed by converting the multivariable function into a univariate function for the specified variable and then applying the central difference method. + The initial value of `h` is used to estimate an optimal step-size, based on the scaling of the truncation error and round-off error in the derivative calculation. The partial derivative is computed by converting the multivariable function into a univariate function for the specified variable and applying the central difference method.
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LanguageTool
deriv/README.md
[style] ~80-~80: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ...ivative of a multivariable functionfwith respect to a specified variable at the pointxu...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
[style] ~82-~82: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ...ter specifies the index of the variable with respect to which the partial derivative is to be c...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
[style] ~89-~89: The phrase ‘feel free to’ is used quite frequently. Consider using a less frequent alternative to set your writing apart from others and make it sound more professional.
Context: ...GSL. 📖 Feel free to explore and utilize these numerical dif...(FEEL_FREE_TO_STYLE_ME)
Markdownlint
deriv/README.md
92-92: null
Fenced code blocks should be surrounded by blank lines(MD031, blanks-around-fences)
92-92: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
Additional comments not posted (1)
deriv/README.md (1)
94-96: LGTM!The instructions for saving the file and the note in Turkish are clear and helpful.
deriv/README.md
Outdated
| ## References and Further Reading | ||
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| This work is a spiritual descendent of the Differentiation module in [GSL](https://github.com/ampl/gsl). 📖 | ||
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| Feel free to explore and utilize these numerical differentiation functions in | ||
| your projects! 🤖📊🔬 | ||
| ``` |
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Surround fenced code blocks with blank lines and specify the language.
Fenced code blocks should be surrounded by blank lines and have a language specified to comply with Markdownlint rules.
- ```markdown
+
+ ```markdown
# 🚀 Numerical Differentiation
...
+ Tools
Markdownlint
92-92: null
Fenced code blocks should be surrounded by blank lines(MD031, blanks-around-fences)
92-92: null
Fenced code blocks should have a language specified(MD040, fenced-code-language)
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Outside diff range, codebase verification and nitpick comments (1)
deriv/README.md (1)
72-74: Consider simplifying the phrase "with respect to".The phrase "with respect to" is used twice and could be simplified for readability.
- This function computes the partial derivative of a multivariable function `f` with respect to a specified variable at the point `x` using the central difference method with a step-size of `h`. + This function computes the partial derivative of a multivariable function `f` for a specified variable at the point `x` using the central difference method with a step-size of `h`. - The `variable` parameter specifies the index of the variable with respect to which the partial derivative is to be computed. + The `variable` parameter specifies the index of the variable for which the partial derivative is to be computed.Tools
LanguageTool
[style] ~72-~72: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ...ivative of a multivariable functionfwith respect to a specified variable at the pointxu...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
[style] ~74-~74: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ...ter specifies the index of the variable with respect to which the partial derivative is to be c...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
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- deriv/README.md (1 hunks)
- deriv/deriv_test.v (2 hunks)
Additional context used
LanguageTool
deriv/README.md
[style] ~72-~72: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ...ivative of a multivariable functionfwith respect to a specified variable at the pointxu...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
[style] ~74-~74: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ...ter specifies the index of the variable with respect to which the partial derivative is to be c...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
Additional comments not posted (5)
deriv/deriv_test.v (4)
72-74: LGTM!The function
f_multicorrectly computes ( f(x, y) = x^2 + y^2 ).
76-78: LGTM!The function
df_multi_dxcorrectly computes ( \frac{\partial f}{\partial x} = 2x ).
80-82: LGTM!The function
df_multi_dycorrectly computes ( \frac{\partial f}{\partial y} = 2y ).
117-127: LGTM!The test cases for the partial derivatives of
f_multiare correctly implemented and use appropriate assertions.deriv/README.md (1)
76-76: LGTM!The remaining documentation for the
partialfunction is clear and well-written.
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Outside diff range, codebase verification and nitpick comments (3)
deriv/README.md (3)
66-66: Surround fenced code blocks with blank lines.Fenced code blocks should be surrounded by blank lines to comply with Markdownlint rules.
+ ### `partial` +
68-68: Specify the language for fenced code blocks.Fenced code blocks should have a language specified to comply with Markdownlint rules.
- ```v ignore + ```v
72-72: Consider a shorter alternative to 'with respect to'.The phrase 'with respect to' might be wordy. Consider a shorter alternative for clarity.
- This function computes the partial derivative of the function `f` with respect to a specified variable at point `x` using step-size `h`. + This function computes the partial derivative of the function `f` for a specified variable at point `x` using step-size `h`.Tools
LanguageTool
[style] ~72-~72: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ... partial derivative of the functionfwith respect to a specified variable at pointxusing...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
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LanguageTool
deriv/README.md
[style] ~72-~72: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ... partial derivative of the functionfwith respect to a specified variable at pointxusing...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
Additional comments not posted (1)
deriv/README.md (1)
69-69: Ensure function signature is correct.The function signature appears correct. Ensure it matches the implementation in the code.
deriv/deriv.v
Outdated
| */ | ||
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| if variable < 0 || variable >= x.len { | ||
| panic('Invalid variable index') |
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use this function instead of panic https://vlang.github.io/vsl/errors.html#vsl_panic
Co-authored-by: Ulises Jeremias <ulisescf.24@gmail.com>
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Outside diff range, codebase verification and nitpick comments (1)
deriv/README.md (1)
72-72: Consider a shorter alternative for "with respect to".The phrase "with respect to" might be wordy. Consider using a shorter alternative like "regarding" or "for".
- This function computes the partial derivative of the function `f` with respect to + This function computes the partial derivative of the function `f` forTools
LanguageTool
[style] ~72-~72: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ... partial derivative of the functionfwith respect to a specified variable at pointxusing...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
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Files selected for processing (2)
- deriv/README.md (1 hunks)
- deriv/deriv.v (1 hunks)
Additional context used
LanguageTool
deriv/README.md
[style] ~72-~72: ‘with respect to’ might be wordy. Consider a shorter alternative.
Context: ... partial derivative of the functionfwith respect to a specified variable at pointxusing...(EN_WORDINESS_PREMIUM_WITH_RESPECT_TO)
Additional comments not posted (3)
deriv/deriv.v (3)
117-127: Include the docstring above the function header.To improve readability, include the docstring above the function header.
- pub fn partial(f fn ([]f64) f64, x []f64, variable int, h f64) (f64, f64) { - /** + /** + * partial is a function that computes the partial derivative of a multivariable function with respect to a specified variable. + * + * @param f The multivariable function for which the partial derivative is to be computed. + * @param x The point at which the partial derivative is to be computed, represented as an array of coordinates. + * @param variable The index of the variable with respect to which the partial derivative is to be computed. + * @param h The step size to be used in the central difference method. + * + * @return A tuple containing the value of the partial derivative and the estimated error. + */ + pub fn partial(f fn ([]f64) f64, x []f64, variable int, h f64) (f64, f64) {
130-130: Usevsl_panicinstead ofpanic.Use
vsl_panicas suggested in the previous review comment.- panic('Invalid variable index') + vsl_panic('Invalid variable index')
117-145: LGTM!The implementation of the
partialfunction is correct and follows the intended logic.
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Outside diff range, codebase verification and nitpick comments (1)
deriv/deriv_test.v (1)
Line range hint
1-1: Reminder: Format the file.Run
v fmt -w deriv/deriv_test.vto format the file.
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Additional comments not posted (4)
deriv/deriv_test.v (4)
71-73: LGTM!The function
f_multicorrectly calculates ( f(x, y) = x^2 + y^2 ).
75-77: LGTM!The function
df_multi_dxcorrectly calculates ( \frac{\partial f}{\partial x} = 2x ).
79-81: LGTM!The function
df_multi_dycorrectly calculates ( \frac{\partial f}{\partial y} = 2y ).
116-126: LGTM!The test cases correctly validate the
partialfunction by comparing its output with the expected partial derivatives off_multi.
* 'main' of github.com:vlang/vsl: Replace panic with vsl_panic in graph.v (#214) Replace panic with vsl_panic in eval function (#212) change IImage.data from voidptr to &u8 Add Planck Temperature to Constants (#210) Add partial derivatives and tests (#209) ci: comment out the whole super-linter job (too many false positives, it seems that the tool is not configured properly) ci: update Dockerfile to satisfy the lint job ci: change `master` to `main` in .github/workflows/lint.yml ci: upgrade to `super-linter/super-linter/slim@v6.7.0` fix `v check-md ~/.vmodules/vsl` fix compilation on macos with latest clang 15 and LAPACK from brew
deriv: add partial derivative function and tests
This PR adds the
partialfunction to compute partial derivatives for multivariable functions. It also includes corresponding test cases to verify the correctness of the new function.The new
partialfunction calculates the partial derivative of a given multivariable function with respect to a specified variable using the central difference method. This addition enhances the library's ability to handle multivariable calculus operations effectively.The following test cases are added to ensure the correctness of the new function:
Summary by CodeRabbit
New Features
Tests