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atan2 vs acos
(version: 0)
Comparing performance of:
acos vs atan2
Created:
5 years ago
by:
Guest
Jump to the latest result
Script Preparation code:
var N = 1000000; var x = new Float32Array(N); var y = new Float32Array(N); for (var i = 0; i < N; ++i) { x[i] = 100 * Math.random(); y[i] = 100 * Math.random(); }
Tests:
acos
var fn = Math.acos; for (var i = 0; i < N; ++i) { fn(x[i]/Math.sqrt(x[i]*x[i]+y[i]*y[i])); }
atan2
var fn = Math.atan; for (var i = 0; i < N; ++i) { fn(y[i], x[i]); }
Rendered benchmark preparation results:
Suite status:
<idle, ready to run>
Run tests (2)
Previous results
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Test case name
Result
acos
atan2
Fastest:
N/A
Slowest:
N/A
Latest run results:
Run details:
(Test run date:
2 months ago
)
User agent:
Mozilla/5.0 (X11; Linux x86_64; rv:147.0) Gecko/20100101 Firefox/147.0
Browser/OS:
Firefox 147 on Linux
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Test name
Executions per second
acos
3964.2 Ops/sec
atan2
51.1 Ops/sec
Autogenerated LLM Summary
(model
llama3.2:3b
, generated one year ago):
Let's break down the provided benchmark and explain what's being tested. **Benchmark Overview** The benchmark compares the performance of two functions: `Math.acos` and `Math.atan2`. The goal is to evaluate which function is faster when used in a specific numerical calculation. **Options Compared** Two options are compared: 1. **Using `Math.acos`**: This option uses the `acos` (inverse cosine) function, which takes only one argument. 2. **Using `Math.atan2`**: This option uses the `atan2` (inverse tangent, y/x) function, which takes two arguments. **Pros and Cons** * **Using `Math.acos`**: + Pros: `acos` is generally a simple and fast function to compute. However, it's not designed for general-purpose inverse trigonometric calculations, so it may not be as accurate or robust as other options. + Cons: It only takes one argument, which might limit its applicability in certain scenarios. * **Using `Math.atan2`**: + Pros: `atan2` is a more versatile and accurate function for inverse trigonometric calculations. However, it's also slightly slower than `acos` due to the additional complexity of handling both y/x coordinates. + Cons: It requires two arguments (y/x), which might be less convenient in some cases. **Library** The benchmark uses the `Math` library, which is a built-in JavaScript library that provides various mathematical functions. In this case, it's used for the `acos` and `atan2` functions. **Special JS Feature or Syntax** This benchmark doesn't use any special JavaScript features or syntax beyond what's standard in modern JavaScript. However, it does rely on the `for` loop and the `Float32Array` constructor, which are both widely supported. **Other Alternatives** There are a few alternative approaches to implementing inverse trigonometric calculations: 1. **Using other libraries**: Other libraries like `mathjs`, `numjs`, or `fast-math` might provide more efficient or accurate implementations of these functions. 2. **Implementing from scratch**: One could write their own implementation of the `acos` and `atan2` functions in JavaScript, which would allow for more fine-grained control over performance and accuracy. 3. **Using SIMD instructions**: Modern CPUs often have SIMD (Single Instruction, Multiple Data) instructions that can accelerate certain mathematical operations. Implementing these functions using SIMD could potentially lead to better performance. However, without additional context or knowledge of the specific requirements or constraints of the benchmark, it's difficult to suggest alternative approaches with confidence.
Related benchmarks:
trigata
acos vs atan
acos vs atan2
Math.atan2(...arr) v. Math.atan2(arr[0], arr[1])
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