@nexys/math-ts/dist/binomial.js

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"use strict";
var __importStar = (this && this.__importStar) || function (mod) {
    if (mod && mod.__esModule) return mod;
    var result = {};
    if (mod != null) for (var k in mod) if (Object.hasOwnProperty.call(mod, k)) result[k] = mod[k];
    result["default"] = mod;
    return result;
};
Object.defineProperty(exports, "__esModule", { value: true });
const U = __importStar(require("./utils"));
exports.coefficientR = (n, k) => {
    if (n < 1) {
        throw Error('n>=1');
    }
    if (k < 0) {
        throw Error('k>=0');
    }
    if (k === 0 || k === n) {
        return 1;
    }
    if (k === 1) {
        return n;
    }
    if (k > n) {
        return -1;
    }
    if (k > U.divWoRest(n, 2) + 1) {
        return exports.coefficientR(n, k - U.divWoRest(n, 2) - 1);
    }
    return exports.coefficientR(n - 1, k - 1) + exports.coefficientR(n - 1, k);
};
exports.coefficient = (n, k) => U.factorial(n) / (U.factorial(k) * U.factorial(n - k));