48 lines
1.4 KiB
JavaScript
48 lines
1.4 KiB
JavaScript
import { factory } from '../../utils/factory.js';
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var name = 'composition';
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var dependencies = ['typed', 'addScalar', 'combinations', 'isNegative', 'isPositive', 'isInteger', 'larger'];
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export var createComposition = /* #__PURE__ */factory(name, dependencies, _ref => {
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var {
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typed,
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addScalar,
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combinations,
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isPositive,
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isNegative,
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isInteger,
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larger
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} = _ref;
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/**
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* The composition counts of n into k parts.
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*
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* composition only takes integer arguments.
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* The following condition must be enforced: k <= n.
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*
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* Syntax:
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*
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* math.composition(n, k)
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*
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* Examples:
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*
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* math.composition(5, 3) // returns 6
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*
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* See also:
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*
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* combinations
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*
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* @param {Number | BigNumber} n Total number of objects in the set
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* @param {Number | BigNumber} k Number of objects in the subset
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* @return {Number | BigNumber} Returns the composition counts of n into k parts.
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*/
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return typed(name, {
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'number | BigNumber, number | BigNumber': function numberBigNumberNumberBigNumber(n, k) {
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if (!isInteger(n) || !isPositive(n) || !isInteger(k) || !isPositive(k)) {
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throw new TypeError('Positive integer value expected in function composition');
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} else if (larger(k, n)) {
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throw new TypeError('k must be less than or equal to n in function composition');
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}
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return combinations(addScalar(n, -1), addScalar(k, -1));
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}
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});
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}); |