ysjj-system/node_modules/mathjs/lib/cjs/function/probability/combinationsWithRep.js

"use strict";

Object.defineProperty(exports, "__esModule", {
  value: true
});
exports.createCombinationsWithRep = void 0;
var _factory = require("../../utils/factory.js");
var _number = require("../../utils/number.js");
var _product = require("../../utils/product.js");
var name = 'combinationsWithRep';
var dependencies = ['typed'];
var createCombinationsWithRep = /* #__PURE__ */(0, _factory.factory)(name, dependencies, function (_ref) {
  var typed = _ref.typed;
  /**
   * Compute the number of ways of picking `k` unordered outcomes from `n`
   * possibilities, allowing individual outcomes to be repeated more than once.
   *
   * CombinationsWithRep only takes integer arguments.
   * The following condition must be enforced: k <= n + k -1.
   *
   * Syntax:
   *
   *     math.combinationsWithRep(n, k)
   *
   * Examples:
   *
   *    math.combinationsWithRep(7, 5) // returns 462
   *
   * See also:
   *
   *    combinations, permutations, factorial
   *
   * @param {number | BigNumber} n    Total number of objects in the set
   * @param {number | BigNumber} k    Number of objects in the subset
   * @return {number | BigNumber}     Number of possible combinations with replacement.
   */
  return typed(name, {
    'number, number': function numberNumber(n, k) {
      if (!(0, _number.isInteger)(n) || n < 0) {
        throw new TypeError('Positive integer value expected in function combinationsWithRep');
      }
      if (!(0, _number.isInteger)(k) || k < 0) {
        throw new TypeError('Positive integer value expected in function combinationsWithRep');
      }
      if (n < 1) {
        throw new TypeError('k must be less than or equal to n + k - 1');
      }
      if (k < n - 1) {
        var _prodrange = (0, _product.product)(n, n + k - 1);
        return _prodrange / (0, _product.product)(1, k);
      }
      var prodrange = (0, _product.product)(k + 1, n + k - 1);
      return prodrange / (0, _product.product)(1, n - 1);
    },
    'BigNumber, BigNumber': function BigNumberBigNumber(n, k) {
      var BigNumber = n.constructor;
      var result, i;
      var one = new BigNumber(1);
      var nMinusOne = n.minus(one);
      if (!isPositiveInteger(n) || !isPositiveInteger(k)) {
        throw new TypeError('Positive integer value expected in function combinationsWithRep');
      }
      if (n.lt(one)) {
        throw new TypeError('k must be less than or equal to n + k - 1 in function combinationsWithRep');
      }
      result = one;
      if (k.lt(nMinusOne)) {
        for (i = one; i.lte(nMinusOne); i = i.plus(one)) {
          result = result.times(k.plus(i)).dividedBy(i);
        }
      } else {
        for (i = one; i.lte(k); i = i.plus(one)) {
          result = result.times(nMinusOne.plus(i)).dividedBy(i);
        }
      }
      return result;
    }
  });
});

/**
 * Test whether BigNumber n is a positive integer
 * @param {BigNumber} n
 * @returns {boolean} isPositiveInteger
 */
exports.createCombinationsWithRep = createCombinationsWithRep;
function isPositiveInteger(n) {
  return n.isInteger() && n.gte(0);
}