refactor(math) refactor ApproxRoot() for better read and perf #22226
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📝 WalkthroughWalkthroughThe changes involve modifications to the Changes
Sequence Diagram(s)sequenceDiagram
participant User
participant LegacyDec
participant ApproxRoot
User->>LegacyDec: Call ApproxRoot(root)
LegacyDec->>ApproxRoot: Set initial guess to LegacyOneDec()
ApproxRoot->>ApproxRoot: Check if root is 1 or decimal is 0
ApproxRoot->>ApproxRoot: Handle special case for decimal equals one
ApproxRoot->>ApproxRoot: Enter iterative process for Newton's method
ApproxRoot->>ApproxRoot: Calculate delta
ApproxRoot->>ApproxRoot: Check convergence
ApproxRoot-->>LegacyDec: Return guess and error
LegacyDec-->>User: Return result
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Actionable comments posted: 1
🧹 Outside diff range and nitpick comments (2)
math/dec.go (2)
475-478: Good addition of special cases forroot == 1andd.IsZero()The logic correctly handles cases where the root is
1or the decimal is zero, returning the decimal directly. This optimization avoids unnecessary calculations and improves performance.Suggestion: Consider adding unit tests for these special cases to ensure they behave as expected.
480-483: Efficient handling ofd == 1caseBy returning
LegacyOneDec()whendequals1, you optimize the function by avoiding unnecessary iterations.Suggestion: Add unit tests to cover the scenario when
dequals1, verifying that the function returns the correct result.
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- math/dec.go (1 hunks)
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math/dec.go (1)
Pattern
**/*.go: Review the Golang code for conformity with the Uber Golang style guide, highlighting any deviations.
🔇 Additional comments (1)
math/dec.go (1)
489-493: Improved initialization and constantsInitializing
guesstoLegacyOneDec()and precomputingrootDecandrootMinusOneenhance the clarity and potential performance of the iterative method.
| // Iteratively apply Newton's method | ||
| for iter := 0; iter < maxApproxRootIterations; iter++ { | ||
| // Compute guess^(root-1) | ||
| prev := guess.Power(rootMinusOne) | ||
| if prev.IsZero() { | ||
| prev = smallestDec | ||
| prev = smallestDec // avoid division by zero | ||
| } | ||
| delta.Set(d).QuoMut(prev) | ||
| delta.SubMut(guess) | ||
| delta.QuoInt64Mut(int64(root)) | ||
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| // delta = (d / guess^(root-1) - guess) / root | ||
| delta := d.Quo(prev).Sub(guess).Quo(rootDec) | ||
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| // Update guess: guess = guess + delta | ||
| guess.AddMut(delta) | ||
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| // If delta is small enough, break early (convergence) | ||
| if delta.Abs().LT(smallestDec) { | ||
| break | ||
| } | ||
| } |
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🛠️ Refactor suggestion
Refactored Newton's method improves performance and readability
The iterative application of Newton's method has been streamlined. Simplifying the calculation of delta and adding an effective convergence check with smallestDec enhances both performance and readability. The handling of potential division by zero with prev.IsZero() is appropriate.
Suggestion: To further align with the Uber Golang style guide, consider adding comments explaining the choice of smallestDec to avoid division by zero, and clarifying the convergence criteria.
Code Improvement: You might consider encapsulating the convergence criteria and the division by zero handling into separate helper functions to enhance modularity and readability.
julienrbrt
changed the title
…ance
Description
Closes: #XXXX
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Summary by CodeRabbit
New Features
ApproxRootmethod, enhancing root calculation efficiency.Bug Fixes