perf: calculate hypoteneuse manually instead of using hypot (#3468)

Something was bothering me a bit with the discussion around sqrt's being
slow. Looks like `Math.hypot` has a performance cost associated with it.

Looking at the Chromium source code:
https://chromium.googlesource.com/v8/v8/+/4.3.21/src/math.js?autodive=0%2F%2F#19
and

https://source.chromium.org/chromium/chromium/src/+/main:v8/src/builtins/math.tq;l=36?q=math&sq=&ss=chromium%2Fchromium%2Fsrc:v8%2Fsrc%2F

it looks like maybe we'd be avoiding the multiple arguments that can be
passed into Math.hypot which is maybe the source of the perf hit.

Also, interestingly in `math.tq` you can see it doing this funky sqrt
calculation: `Float64Sqrt((a / max) * (a / max) + (b / max) * (b / max))
* max` - I think that possibly is trying to avoid some overflow in some
cases with bigger numbers, but also possibly with a perf hit.

[edit]: OK, actually on Firefox, doing sqrt seems slower - but digging
more into this, it looks like doing `** 0.5` instead of `sqrt` is much
faster.

More related articles:
- https://stackoverflow.com/questions/71898044/why-is-math-hypot-so-slow
-
https://stackoverflow.com/questions/3764978/why-hypot-function-is-so-slow
-
https://www.reddit.com/r/javascript/comments/wk3e57/askjs_why_mathsqrt_is_so_slow_in_firefox/

[edit again!] looks like this is being fixed in the latest Chrome!
https://blog.seokho.dev/development/2024/03/18/V8-optimize-MathHypot.html

```
 ┌─────────┬───────┬─────────┬─────────┬─────────┬────────┐
    │ (index) │ Cold  │ Slowest │ Fastest │ Average │ Total  │
    ├─────────┼───────┼─────────┼─────────┼─────────┼────────┤
    │   old   │ 13.39 │  10.07  │  9.69   │  9.98   │ 998.57 │
    │  sqrt   │ 8.19  │  6.66   │  6.61   │  6.67   │ 667.6  │
    │ pow 0.5 │ 1.89  │  0.28   │  0.28   │   0.3   │ 29.79  │
    │   new   │ 1.64  │  0.28   │  0.28   │  0.29   │ 28.95  │
    └─────────┴───────┴─────────┴─────────┴─────────┴────────┘
```

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pull/3476/head
Mime Čuvalo 2024-04-15 19:45:30 +01:00 zatwierdzone przez GitHub
rodzic 45dffd1af6
commit 273ba62e0e
Nie znaleziono w bazie danych klucza dla tego podpisu
ID klucza GPG: B5690EEEBB952194
3 zmienionych plików z 9 dodań i 9 usunięć

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@ -389,9 +389,9 @@ function getArcInfo(a: VecLike, b: VecLike, c: VecLike): TLArcInfo {
const sweepFlag = +Vec.Clockwise(a, c, b)
// The base angle of the arc in radians
const ab = Math.hypot(a.y - b.y, a.x - b.x)
const bc = Math.hypot(b.y - c.y, b.x - c.x)
const ca = Math.hypot(c.y - a.y, c.x - a.x)
const ab = ((a.y - b.y) ** 2 + (a.x - b.x) ** 2) ** 0.5
const bc = ((b.y - c.y) ** 2 + (b.x - c.x) ** 2) ** 0.5
const ca = ((c.y - a.y) ** 2 + (c.x - a.x) ** 2) ** 0.5
const theta = Math.acos((bc * bc + ca * ca - ab * ab) / (2 * bc * ca)) * 2

Wyświetl plik

@ -218,10 +218,10 @@ export class Mat {
let rotation
if (m.a !== 0 || m.c !== 0) {
const hypotAc = Math.hypot(m.a, m.c)
const hypotAc = (m.a * m.a + m.c * m.c) ** 0.5
rotation = Math.acos(m.a / hypotAc) * (m.c > 0 ? -1 : 1)
} else if (m.b !== 0 || m.d !== 0) {
const hypotBd = Math.hypot(m.b, m.d)
const hypotBd = (m.b * m.b + m.d * m.d) ** 0.5
rotation = HALF_PI + Math.acos(m.b / hypotBd) * (m.d > 0 ? -1 : 1)
} else {
rotation = 0
@ -234,12 +234,12 @@ export class Mat {
let scaleX, scaleY, rotation
if (m.a !== 0 || m.c !== 0) {
const hypotAc = Math.hypot(m.a, m.c)
const hypotAc = (m.a * m.a + m.c * m.c) ** 0.5
scaleX = hypotAc
scaleY = (m.a * m.d - m.b * m.c) / hypotAc
rotation = Math.acos(m.a / hypotAc) * (m.c > 0 ? -1 : 1)
} else if (m.b !== 0 || m.d !== 0) {
const hypotBd = Math.hypot(m.b, m.d)
const hypotBd = (m.b * m.b + m.d * m.d) ** 0.5
scaleX = (m.a * m.d - m.b * m.c) / hypotBd
scaleY = hypotBd
rotation = HALF_PI + Math.acos(m.b / hypotBd) * (m.d > 0 ? -1 : 1)

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@ -315,7 +315,7 @@ export class Vec {
// Get the distance between two points.
static Dist(A: VecLike, B: VecLike): number {
return Math.hypot(A.y - B.y, A.x - B.x)
return ((A.y - B.y) ** 2 + (A.x - B.x) ** 2) ** 0.5
}
// Get whether a distance between two points is less than a number. This is faster to calulate than using `Vec.Dist(a, b) < n`.
@ -355,7 +355,7 @@ export class Vec {
}
static Len(A: VecLike): number {
return Math.hypot(A.x, A.y)
return (A.x * A.x + A.y * A.y) ** 0.5
}
/**