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- /**
- * Copyright (c) 2013-present, Facebook, Inc.
- *
- * This source code is licensed under the MIT license found in the
- * LICENSE file in the root directory of this source tree.
- *
- *
- * @typechecks
- */
- 'use strict';
- function _defineProperty(obj, key, value) { if (key in obj) { Object.defineProperty(obj, key, { value: value, enumerable: true, configurable: true, writable: true }); } else { obj[key] = value; } return obj; }
- var invariant = require("./invariant");
- var parent = function parent(node) {
- return Math.floor(node / 2);
- };
- var Int32Array = global.Int32Array || function (size) {
- var xs = [];
- for (var i = size - 1; i >= 0; --i) {
- xs[i] = 0;
- }
- return xs;
- };
- /**
- * Computes the next power of 2 after or equal to x.
- */
- function ceilLog2(x) {
- var y = 1;
- while (y < x) {
- y *= 2;
- }
- return y;
- }
- /**
- * A prefix interval tree stores an numeric array and the partial sums of that
- * array. It is optimized for updating the values of the array without
- * recomputing all of the partial sums.
- *
- * - O(ln n) update
- * - O(1) lookup
- * - O(ln n) compute a partial sum
- * - O(n) space
- *
- * Note that the sequence of partial sums is one longer than the array, so that
- * the first partial sum is always 0, and the last partial sum is the sum of the
- * entire array.
- */
- var PrefixIntervalTree =
- /*#__PURE__*/
- function () {
- /**
- * Number of elements in the array
- */
- /**
- * Half the size of the heap. It is also the number of non-leaf nodes, and the
- * index of the first element in the heap. Always a power of 2.
- */
- /**
- * Binary heap
- */
- function PrefixIntervalTree(xs) {
- _defineProperty(this, "_size", void 0);
- _defineProperty(this, "_half", void 0);
- _defineProperty(this, "_heap", void 0);
- this._size = xs.length;
- this._half = ceilLog2(this._size);
- this._heap = new Int32Array(2 * this._half);
- var i;
- for (i = 0; i < this._size; ++i) {
- this._heap[this._half + i] = xs[i];
- }
- for (i = this._half - 1; i > 0; --i) {
- this._heap[i] = this._heap[2 * i] + this._heap[2 * i + 1];
- }
- }
- PrefixIntervalTree.uniform = function uniform(size, initialValue) {
- var xs = [];
- for (var _i = size - 1; _i >= 0; --_i) {
- xs[_i] = initialValue;
- }
- return new PrefixIntervalTree(xs);
- };
- PrefixIntervalTree.empty = function empty(size) {
- return PrefixIntervalTree.uniform(size, 0);
- };
- var _proto = PrefixIntervalTree.prototype;
- _proto.set = function set(index, value) {
- !(0 <= index && index < this._size) ? process.env.NODE_ENV !== "production" ? invariant(false, 'Index out of range %s', index) : invariant(false) : void 0;
- var node = this._half + index;
- this._heap[node] = value;
- node = parent(node);
- for (; node !== 0; node = parent(node)) {
- this._heap[node] = this._heap[2 * node] + this._heap[2 * node + 1];
- }
- };
- _proto.get = function get(index) {
- !(0 <= index && index < this._size) ? process.env.NODE_ENV !== "production" ? invariant(false, 'Index out of range %s', index) : invariant(false) : void 0;
- var node = this._half + index;
- return this._heap[node];
- };
- _proto.getSize = function getSize() {
- return this._size;
- };
- /**
- * Returns the sum get(0) + get(1) + ... + get(end - 1).
- */
- _proto.sumUntil = function sumUntil(end) {
- !(0 <= end && end < this._size + 1) ? process.env.NODE_ENV !== "production" ? invariant(false, 'Index out of range %s', end) : invariant(false) : void 0;
- if (end === 0) {
- return 0;
- }
- var node = this._half + end - 1;
- var sum = this._heap[node];
- for (; node !== 1; node = parent(node)) {
- if (node % 2 === 1) {
- sum += this._heap[node - 1];
- }
- }
- return sum;
- };
- /**
- * Returns the sum get(0) + get(1) + ... + get(inclusiveEnd).
- */
- _proto.sumTo = function sumTo(inclusiveEnd) {
- !(0 <= inclusiveEnd && inclusiveEnd < this._size) ? process.env.NODE_ENV !== "production" ? invariant(false, 'Index out of range %s', inclusiveEnd) : invariant(false) : void 0;
- return this.sumUntil(inclusiveEnd + 1);
- };
- /**
- * Returns the sum get(begin) + get(begin + 1) + ... + get(end - 1).
- */
- _proto.sum = function sum(begin, end) {
- !(begin <= end) ? process.env.NODE_ENV !== "production" ? invariant(false, 'Begin must precede end') : invariant(false) : void 0;
- return this.sumUntil(end) - this.sumUntil(begin);
- };
- /**
- * Returns the smallest i such that 0 <= i <= size and sumUntil(i) <= t, or
- * -1 if no such i exists.
- */
- _proto.greatestLowerBound = function greatestLowerBound(t) {
- if (t < 0) {
- return -1;
- }
- var node = 1;
- if (this._heap[node] <= t) {
- return this._size;
- }
- while (node < this._half) {
- var leftSum = this._heap[2 * node];
- if (t < leftSum) {
- node = 2 * node;
- } else {
- node = 2 * node + 1;
- t -= leftSum;
- }
- }
- return node - this._half;
- };
- /**
- * Returns the smallest i such that 0 <= i <= size and sumUntil(i) < t, or
- * -1 if no such i exists.
- */
- _proto.greatestStrictLowerBound = function greatestStrictLowerBound(t) {
- if (t <= 0) {
- return -1;
- }
- var node = 1;
- if (this._heap[node] < t) {
- return this._size;
- }
- while (node < this._half) {
- var leftSum = this._heap[2 * node];
- if (t <= leftSum) {
- node = 2 * node;
- } else {
- node = 2 * node + 1;
- t -= leftSum;
- }
- }
- return node - this._half;
- };
- /**
- * Returns the smallest i such that 0 <= i <= size and t <= sumUntil(i), or
- * size + 1 if no such i exists.
- */
- _proto.leastUpperBound = function leastUpperBound(t) {
- return this.greatestStrictLowerBound(t) + 1;
- };
- /**
- * Returns the smallest i such that 0 <= i <= size and t < sumUntil(i), or
- * size + 1 if no such i exists.
- */
- _proto.leastStrictUpperBound = function leastStrictUpperBound(t) {
- return this.greatestLowerBound(t) + 1;
- };
- return PrefixIntervalTree;
- }();
- module.exports = PrefixIntervalTree;
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