simple-squiggle/node_modules/mathjs/lib/esm/function/arithmetic/hypot.js

81 lines
2.5 KiB
JavaScript

import { factory } from '../../utils/factory.js';
import { flatten } from '../../utils/array.js';
var name = 'hypot';
var dependencies = ['typed', 'abs', 'addScalar', 'divideScalar', 'multiplyScalar', 'sqrt', 'smaller', 'isPositive'];
export var createHypot = /* #__PURE__ */factory(name, dependencies, _ref => {
var {
typed,
abs,
addScalar,
divideScalar,
multiplyScalar,
sqrt,
smaller,
isPositive
} = _ref;
/**
* Calculate the hypotenusa of a list with values. The hypotenusa is defined as:
*
* hypot(a, b, c, ...) = sqrt(a^2 + b^2 + c^2 + ...)
*
* For matrix input, the hypotenusa is calculated for all values in the matrix.
*
* Syntax:
*
* math.hypot(a, b, ...)
* math.hypot([a, b, c, ...])
*
* Examples:
*
* math.hypot(3, 4) // 5
* math.hypot(3, 4, 5) // 7.0710678118654755
* math.hypot([3, 4, 5]) // 7.0710678118654755
* math.hypot(-2) // 2
*
* See also:
*
* abs, norm
*
* @param {... number | BigNumber | Array | Matrix} args A list with numeric values or an Array or Matrix.
* Matrix and Array input is flattened and returns a
* single number for the whole matrix.
* @return {number | BigNumber} Returns the hypothenusa of the input values.
*/
return typed(name, {
'... number | BigNumber': _hypot,
Array: function Array(x) {
return this.apply(this, flatten(x));
},
Matrix: function Matrix(x) {
return this.apply(this, flatten(x.toArray()));
}
});
/**
* Calculate the hypotenusa for an Array with values
* @param {Array.<number | BigNumber>} args
* @return {number | BigNumber} Returns the result
* @private
*/
function _hypot(args) {
// code based on `hypot` from es6-shim:
// https://github.com/paulmillr/es6-shim/blob/master/es6-shim.js#L1619-L1633
var result = 0;
var largest = 0;
for (var i = 0; i < args.length; i++) {
var value = abs(args[i]);
if (smaller(largest, value)) {
result = multiplyScalar(result, multiplyScalar(divideScalar(largest, value), divideScalar(largest, value)));
result = addScalar(result, 1);
largest = value;
} else {
result = addScalar(result, isPositive(value) ? multiplyScalar(divideScalar(value, largest), divideScalar(value, largest)) : value);
}
}
return multiplyScalar(largest, sqrt(result));
}
});