feat:node-modules

node_modules/mathjs/lib/cjs/function/combinatorics/bellNumbers.js

@@ -0,0 +1,53 @@
+"use strict";
+
+Object.defineProperty(exports, "__esModule", {
+  value: true
+});
+exports.createBellNumbers = void 0;
+var _factory = require("../../utils/factory.js");
+const name = 'bellNumbers';
+const dependencies = ['typed', 'addScalar', 'isNegative', 'isInteger', 'stirlingS2'];
+const createBellNumbers = exports.createBellNumbers = /* #__PURE__ */(0, _factory.factory)(name, dependencies, _ref => {
+  let {
+    typed,
+    addScalar,
+    isNegative,
+    isInteger,
+    stirlingS2
+  } = _ref;
+  /**
+   * The Bell Numbers count the number of partitions of a set. A partition is a pairwise disjoint subset of S whose union is S.
+   * bellNumbers only takes integer arguments.
+   * The following condition must be enforced: n >= 0
+   *
+   * Syntax:
+   *
+   *   math.bellNumbers(n)
+   *
+   * Examples:
+   *
+   *    math.bellNumbers(3) // returns 5
+   *    math.bellNumbers(8) // returns 4140
+   *
+   * See also:
+   *
+   *    stirlingS2
+   *
+   * @param {Number | BigNumber} n    Total number of objects in the set
+   * @return {Number | BigNumber}     B(n)
+   */
+  return typed(name, {
+    'number | BigNumber': function (n) {
+      if (!isInteger(n) || isNegative(n)) {
+        throw new TypeError('Non-negative integer value expected in function bellNumbers');
+      }
+
+      // Sum (k=0, n) S(n,k).
+      let result = 0;
+      for (let i = 0; i <= n; i++) {
+        result = addScalar(result, stirlingS2(n, i));
+      }
+      return result;
+    }
+  });
+});