simple-squiggle/node_modules/mathjs/lib/esm/function/probability/multinomial.js

52 lines
1.5 KiB
JavaScript

import { deepForEach } from '../../utils/collection.js';
import { factory } from '../../utils/factory.js';
var name = 'multinomial';
var dependencies = ['typed', 'add', 'divide', 'multiply', 'factorial', 'isInteger', 'isPositive'];
export var createMultinomial = /* #__PURE__ */factory(name, dependencies, _ref => {
var {
typed,
add,
divide,
multiply,
factorial,
isInteger,
isPositive
} = _ref;
/**
* Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities.
*
* multinomial takes one array of integers as an argument.
* The following condition must be enforced: every ai <= 0
*
* Syntax:
*
* math.multinomial(a) // a is an array type
*
* Examples:
*
* math.multinomial([1,2,1]) // returns 12
*
* See also:
*
* combinations, factorial
*
* @param {number[] | BigNumber[]} a Integer numbers of objects in the subset
* @return {Number | BigNumber} Multinomial coefficient.
*/
return typed(name, {
'Array | Matrix': function ArrayMatrix(a) {
var sum = 0;
var denom = 1;
deepForEach(a, function (ai) {
if (!isInteger(ai) || !isPositive(ai)) {
throw new TypeError('Positive integer value expected in function multinomial');
}
sum = add(sum, ai);
denom = multiply(denom, factorial(ai));
});
return divide(factorial(sum), denom);
}
});
});