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math.round vs alternatives (floating point fix)
(version: 0)
Various fixes for floating point issues
Comparing performance of:
math.round vs math.round2 vs decimal round vs round (php)
Created:
5 years ago
by:
Registered User
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Script Preparation code:
var factor = 10 ** 8 var fp = (1.1*1.1) // 1.2100000000000002
Tests:
math.round
Math.round(fp * 10e8) / 10e8
math.round2
Math.round(fp * factor) / factor;
decimal round
const fpFix = Number.EPSILON * (fp < 0 ? -1 : 1); Math.round((fp + fpFix) * factor) / factor;
round (php)
let d = 8; let n = +(d ? fp * factor : fp).toFixed(8); let r = Math.round(n) d ? r / factor : r;
Rendered benchmark preparation results:
Suite status:
<idle, ready to run>
Run tests (4)
Previous results
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Test case name
Result
math.round
math.round2
decimal round
round (php)
Fastest:
N/A
Slowest:
N/A
Latest run results:
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Autogenerated LLM Summary
(model
llama3.2:3b
, generated one year ago):
Let's dive into the world of JavaScript microbenchmarks! The provided benchmark tests four different approaches to mitigate floating-point precision issues when using `Math.round` in JavaScript. **Approach 1: Using `Math.round` with a multiplier** ```javascript Benchmark Definition: Math.round(fp * factor) / factor; ``` This approach multiplies the input value by a large number (`factor`) before passing it to `Math.round`. This is done to reduce the effect of floating-point precision issues. Pros: * Simple and easy to implement. * Reduces the impact of floating-point errors. Cons: * May not be as efficient as other approaches, especially for larger inputs. * Can lead to unnecessary calculations if the input value is very large or small. **Approach 2: Using `Number.EPSILON`** ```javascript Benchmark Definition: const fpFix = Number.EPSILON * (fp < 0 ? -1 : 1); Math.round((fp + fpFix) * factor) / factor; ``` This approach uses the `Number.EPSILON` constant, which represents the smallest difference between 1 and any non-zero number in JavaScript. It adds a small value to the input (`fp`) to help mitigate floating-point precision issues. Pros: * More efficient than Approach 1, especially for larger inputs. * Works well for both positive and negative input values. Cons: * Requires knowledge of `Number.EPSILON` to implement correctly. **Approach 3: Using string formatting** ```javascript Benchmark Definition: let n = +(d ? fp * factor : fp).toFixed(8); let r = Math.round(n); d ? r / factor : r; ``` This approach uses string formatting (`toFixed`) to convert the input value to a string with a fixed number of decimal places. The resulting string is then passed to `Math.round`. Pros: * Works well for both positive and negative input values. * Can be more efficient than Approach 1 or 2. Cons: * May not work correctly for very large or small input values. * Requires knowledge of string formatting to implement correctly. **Library: `Number.EPSILON`** The `Number.EPSILON` constant is a built-in JavaScript property that represents the smallest difference between 1 and any non-zero number in JavaScript. It is used to mitigate floating-point precision issues by adding a small value to the input value. **Special JS feature: none** There are no special JavaScript features or syntax used in this benchmark. The other alternatives to these approaches include: * Using `BigInt` arithmetic, which can provide more accurate results for large integers. * Using specialized libraries like `big-integer` or `decimal.js`, which can provide more accurate results for floating-point operations. * Using compiler optimizations, such as `-ffast-math` in GCC, which can help mitigate floating-point precision issues. Overall, the choice of approach depends on the specific use case and performance requirements. Approach 2 (using `Number.EPSILON`) is often considered a good balance between efficiency and accuracy.
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