feat:node-modules
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33
node_modules/mathjs/lib/esm/plain/number/combinations.js
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vendored
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33
node_modules/mathjs/lib/esm/plain/number/combinations.js
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import { isInteger } from '../../utils/number.js';
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import { product } from '../../utils/product.js';
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export function combinationsNumber(n, k) {
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if (!isInteger(n) || n < 0) {
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throw new TypeError('Positive integer value expected in function combinations');
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}
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if (!isInteger(k) || k < 0) {
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throw new TypeError('Positive integer value expected in function combinations');
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}
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if (k > n) {
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throw new TypeError('k must be less than or equal to n');
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}
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var nMinusk = n - k;
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var answer = 1;
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var firstnumerator = k < nMinusk ? nMinusk + 1 : k + 1;
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var nextdivisor = 2;
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var lastdivisor = k < nMinusk ? k : nMinusk;
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// balance multiplications and divisions to try to keep intermediate values
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// in exact-integer range as long as possible
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for (var nextnumerator = firstnumerator; nextnumerator <= n; ++nextnumerator) {
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answer *= nextnumerator;
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while (nextdivisor <= lastdivisor && answer % nextdivisor === 0) {
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answer /= nextdivisor;
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++nextdivisor;
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}
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}
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// for big n, k, floating point may have caused weirdness in remainder
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if (nextdivisor <= lastdivisor) {
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answer /= product(nextdivisor, lastdivisor);
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}
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return answer;
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}
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combinationsNumber.signature = 'number, number';
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