In mathematics, the p-norm of a vector is defined as in [1]. For p = 1, we get the taxicab norm, for p = 2 we get the Euclidean norm, and for the limit as p → ±∞ we get the maximum/minimum norm.
Particularly the Euclidean norm is pretty common in graphics-related code.
This could be implemented as an addition to`TypedArray.prototype`.
A rough sketch might look like so:
```js
TypedArray.prototype.norm = function(p) {
if (Number.isNaN(p)) {
return p;
}
const { abs, min, max, sign } = Math;
if (Number.isFinite(p)) {
return this.map(x => abs(x) ** p).reduce((a, b) => a + b, 0) **
(1 / p);
}
return abs((sign(p) === 1 ? max : min)(...this));
};
```
Since norms are a little too specific for `Array` (as they don't necessarily
contain numerical values), it might be worth pondering about a native`Vector`
implementation.
Any opinions?
[1] https://en.wikipedia.org/wiki/Norm_(mathematics)#p-norm
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