import { ISortedMap, ISortedMapF, ISortedSet } from './interfaces'; export { ISetSource, ISetSink, ISet, ISetF, ISortedSetSource, ISortedSet, ISortedSetF, IMapSource, IMapSink, IMap, IMapF, ISortedMapSource, ISortedMap, ISortedMapF } from './interfaces'; export type EditRangeResult = { value?: V; break?: R; delete?: boolean; }; /** * Types that BTree supports by default */ export type DefaultComparable = number | string | Date | boolean | null | undefined | (number | string)[] | { valueOf: () => number | string | Date | boolean | null | undefined | (number | string)[]; }; /** * Compares DefaultComparables to form a strict partial ordering. * * Handles +/-0 and NaN like Map: NaN is equal to NaN, and -0 is equal to +0. * * Arrays are compared using '<' and '>', which may cause unexpected equality: * for example [1] will be considered equal to ['1']. * * Two objects with equal valueOf compare the same, but compare unequal to * primitives that have the same value. */ export declare function defaultComparator(a: DefaultComparable, b: DefaultComparable): number; /** * Compares items using the < and > operators. This function is probably slightly * faster than the defaultComparator for Dates and strings, but has not been benchmarked. * Unlike defaultComparator, this comparator doesn't support mixed types correctly, * i.e. use it with `BTree` or `BTree` but not `BTree`. * * NaN is not supported. * * Note: null is treated like 0 when compared with numbers or Date, but in general * null is not ordered with respect to strings (neither greater nor less), and * undefined is not ordered with other types. */ export declare function simpleComparator(a: string, b: string): number; export declare function simpleComparator(a: number | null, b: number | null): number; export declare function simpleComparator(a: Date | null, b: Date | null): number; export declare function simpleComparator(a: (number | string)[], b: (number | string)[]): number; /** * A reasonably fast collection of key-value pairs with a powerful API. * Largely compatible with the standard Map. BTree is a B+ tree data structure, * so the collection is sorted by key. * * B+ trees tend to use memory more efficiently than hashtables such as the * standard Map, especially when the collection contains a large number of * items. However, maintaining the sort order makes them modestly slower: * O(log size) rather than O(1). This B+ tree implementation supports O(1) * fast cloning. It also supports freeze(), which can be used to ensure that * a BTree is not changed accidentally. * * Confusingly, the ES6 Map.forEach(c) method calls c(value,key) instead of * c(key,value), in contrast to other methods such as set() and entries() * which put the key first. I can only assume that the order was reversed on * the theory that users would usually want to examine values and ignore keys. * BTree's forEach() therefore works the same way, but a second method * `.forEachPair((key,value)=>{...})` is provided which sends you the key * first and the value second; this method is slightly faster because it is * the "native" for-each method for this class. * * Out of the box, BTree supports keys that are numbers, strings, arrays of * numbers/strings, Date, and objects that have a valueOf() method returning a * number or string. Other data types, such as arrays of Date or custom * objects, require a custom comparator, which you must pass as the second * argument to the constructor (the first argument is an optional list of * initial items). Symbols cannot be used as keys because they are unordered * (one Symbol is never "greater" or "less" than another). * * @example * Given a {name: string, age: number} object, you can create a tree sorted by * name and then by age like this: * * var tree = new BTree(undefined, (a, b) => { * if (a.name > b.name) * return 1; // Return a number >0 when a > b * else if (a.name < b.name) * return -1; // Return a number <0 when a < b * else // names are equal (or incomparable) * return a.age - b.age; // Return >0 when a.age > b.age * }); * * tree.set({name:"Bill", age:17}, "happy"); * tree.set({name:"Fran", age:40}, "busy & stressed"); * tree.set({name:"Bill", age:55}, "recently laid off"); * tree.forEachPair((k, v) => { * console.log(`Name: ${k.name} Age: ${k.age} Status: ${v}`); * }); * * @description * The "range" methods (`forEach, forRange, editRange`) will return the number * of elements that were scanned. In addition, the callback can return {break:R} * to stop early and return R from the outer function. * * - TODO: Test performance of preallocating values array at max size * - TODO: Add fast initialization when a sorted array is provided to constructor * * For more documentation see https://github.com/qwertie/btree-typescript * * Are you a C# developer? You might like the similar data structures I made for C#: * BDictionary, BList, etc. See http://core.loyc.net/collections/ * * @author David Piepgrass */ export default class BTree implements ISortedMapF, ISortedMap { private _root; _maxNodeSize: number; /** * provides a total order over keys (and a strict partial order over the type K) * @returns a negative value if a < b, 0 if a === b and a positive value if a > b */ _compare: (a: K, b: K) => number; /** * Initializes an empty B+ tree. * @param compare Custom function to compare pairs of elements in the tree. * If not specified, defaultComparator will be used which is valid as long as K extends DefaultComparable. * @param entries A set of key-value pairs to initialize the tree * @param maxNodeSize Branching factor (maximum items or children per node) * Must be in range 4..256. If undefined or <4 then default is used; if >256 then 256. */ constructor(entries?: [K, V][], compare?: (a: K, b: K) => number, maxNodeSize?: number); /** Gets the number of key-value pairs in the tree. */ get size(): number; /** Gets the number of key-value pairs in the tree. */ get length(): number; /** Returns true iff the tree contains no key-value pairs. */ get isEmpty(): boolean; /** Releases the tree so that its size is 0. */ clear(): void; forEach(callback: (v: V, k: K, tree: BTree) => void, thisArg?: any): number; /** Runs a function for each key-value pair, in order from smallest to * largest key. The callback can return {break:R} (where R is any value * except undefined) to stop immediately and return R from forEachPair. * @param onFound A function that is called for each key-value pair. This * function can return {break:R} to stop early with result R. * The reason that you must return {break:R} instead of simply R * itself is for consistency with editRange(), which allows * multiple actions, not just breaking. * @param initialCounter This is the value of the third argument of * `onFound` the first time it is called. The counter increases * by one each time `onFound` is called. Default value: 0 * @returns the number of pairs sent to the callback (plus initialCounter, * if you provided one). If the callback returned {break:R} then * the R value is returned instead. */ forEachPair(callback: (k: K, v: V, counter: number) => { break?: R; } | void, initialCounter?: number): R | number; /** * Finds a pair in the tree and returns the associated value. * @param defaultValue a value to return if the key was not found. * @returns the value, or defaultValue if the key was not found. * @description Computational complexity: O(log size) */ get(key: K, defaultValue?: V): V | undefined; /** * Adds or overwrites a key-value pair in the B+ tree. * @param key the key is used to determine the sort order of * data in the tree. * @param value data to associate with the key (optional) * @param overwrite Whether to overwrite an existing key-value pair * (default: true). If this is false and there is an existing * key-value pair then this method has no effect. * @returns true if a new key-value pair was added. * @description Computational complexity: O(log size) * Note: when overwriting a previous entry, the key is updated * as well as the value. This has no effect unless the new key * has data that does not affect its sort order. */ set(key: K, value: V, overwrite?: boolean): boolean; /** * Returns true if the key exists in the B+ tree, false if not. * Use get() for best performance; use has() if you need to * distinguish between "undefined value" and "key not present". * @param key Key to detect * @description Computational complexity: O(log size) */ has(key: K): boolean; /** * Removes a single key-value pair from the B+ tree. * @param key Key to find * @returns true if a pair was found and removed, false otherwise. * @description Computational complexity: O(log size) */ delete(key: K): boolean; /** Returns a copy of the tree with the specified key set (the value is undefined). */ with(key: K): BTree; /** Returns a copy of the tree with the specified key-value pair set. */ with(key: K, value: V2, overwrite?: boolean): BTree; /** Returns a copy of the tree with the specified key-value pairs set. */ withPairs(pairs: [K, V | V2][], overwrite: boolean): BTree; /** Returns a copy of the tree with the specified keys present. * @param keys The keys to add. If a key is already present in the tree, * neither the existing key nor the existing value is modified. * @param returnThisIfUnchanged if true, returns this if all keys already * existed. Performance note: due to the architecture of this class, all * node(s) leading to existing keys are cloned even if the collection is * ultimately unchanged. */ withKeys(keys: K[], returnThisIfUnchanged?: boolean): BTree; /** Returns a copy of the tree with the specified key removed. * @param returnThisIfUnchanged if true, returns this if the key didn't exist. * Performance note: due to the architecture of this class, node(s) leading * to where the key would have been stored are cloned even when the key * turns out not to exist and the collection is unchanged. */ without(key: K, returnThisIfUnchanged?: boolean): this; /** Returns a copy of the tree with the specified keys removed. * @param returnThisIfUnchanged if true, returns this if none of the keys * existed. Performance note: due to the architecture of this class, * node(s) leading to where the key would have been stored are cloned * even when the key turns out not to exist. */ withoutKeys(keys: K[], returnThisIfUnchanged?: boolean): this; /** Returns a copy of the tree with the specified range of keys removed. */ withoutRange(low: K, high: K, includeHigh: boolean, returnThisIfUnchanged?: boolean): this; /** Returns a copy of the tree with pairs removed whenever the callback * function returns false. `where()` is a synonym for this method. */ filter(callback: (k: K, v: V, counter: number) => boolean, returnThisIfUnchanged?: boolean): this; /** Returns a copy of the tree with all values altered by a callback function. */ mapValues(callback: (v: V, k: K, counter: number) => R): BTree; /** Performs a reduce operation like the `reduce` method of `Array`. * It is used to combine all pairs into a single value, or perform * conversions. `reduce` is best understood by example. For example, * `tree.reduce((P, pair) => P * pair[0], 1)` multiplies all keys * together. It means "start with P=1, and for each pair multiply * it by the key in pair[0]". Another example would be converting * the tree to a Map (in this example, note that M.set returns M): * * var M = tree.reduce((M, pair) => M.set(pair[0],pair[1]), new Map()) * * **Note**: the same array is sent to the callback on every iteration. */ reduce(callback: (previous: R, currentPair: [K, V], counter: number, tree: BTree) => R, initialValue: R): R; reduce(callback: (previous: R | undefined, currentPair: [K, V], counter: number, tree: BTree) => R): R | undefined; /** Returns an iterator that provides items in order (ascending order if * the collection's comparator uses ascending order, as is the default.) * @param lowestKey First key to be iterated, or undefined to start at * minKey(). If the specified key doesn't exist then iteration * starts at the next higher key (according to the comparator). * @param reusedArray Optional array used repeatedly to store key-value * pairs, to avoid creating a new array on every iteration. */ entries(lowestKey?: K, reusedArray?: (K | V)[]): IterableIterator<[K, V]>; /** Returns an iterator that provides items in reversed order. * @param highestKey Key at which to start iterating, or undefined to * start at maxKey(). If the specified key doesn't exist then iteration * starts at the next lower key (according to the comparator). * @param reusedArray Optional array used repeatedly to store key-value * pairs, to avoid creating a new array on every iteration. * @param skipHighest Iff this flag is true and the highestKey exists in the * collection, the pair matching highestKey is skipped, not iterated. */ entriesReversed(highestKey?: K, reusedArray?: (K | V)[], skipHighest?: boolean): IterableIterator<[K, V]>; private findPath; /** Returns a new iterator for iterating the keys of each pair in ascending order. * @param firstKey: Minimum key to include in the output. */ keys(firstKey?: K): IterableIterator; /** Returns a new iterator for iterating the values of each pair in order by key. * @param firstKey: Minimum key whose associated value is included in the output. */ values(firstKey?: K): IterableIterator; /** Returns the maximum number of children/values before nodes will split. */ get maxNodeSize(): number; /** Gets the lowest key in the tree. Complexity: O(log size) */ minKey(): K | undefined; /** Gets the highest key in the tree. Complexity: O(1) */ maxKey(): K | undefined; /** Quickly clones the tree by marking the root node as shared. * Both copies remain editable. When you modify either copy, any * nodes that are shared (or potentially shared) between the two * copies are cloned so that the changes do not affect other copies. * This is known as copy-on-write behavior, or "lazy copying". */ clone(): this; /** Performs a greedy clone, immediately duplicating any nodes that are * not currently marked as shared, in order to avoid marking any * additional nodes as shared. * @param force Clone all nodes, even shared ones. */ greedyClone(force?: boolean): this; /** Gets an array filled with the contents of the tree, sorted by key */ toArray(maxLength?: number): [K, V][]; /** Gets an array of all keys, sorted */ keysArray(): K[]; /** Gets an array of all values, sorted by key */ valuesArray(): V[]; /** Gets a string representing the tree's data based on toArray(). */ toString(): string; /** Stores a key-value pair only if the key doesn't already exist in the tree. * @returns true if a new key was added */ setIfNotPresent(key: K, value: V): boolean; /** Returns the next pair whose key is larger than the specified key (or undefined if there is none). * If key === undefined, this function returns the lowest pair. * @param key The key to search for. * @param reusedArray Optional array used repeatedly to store key-value pairs, to * avoid creating a new array on every iteration. */ nextHigherPair(key: K | undefined, reusedArray?: [K, V]): [K, V] | undefined; /** Returns the next key larger than the specified key, or undefined if there is none. * Also, nextHigherKey(undefined) returns the lowest key. */ nextHigherKey(key: K | undefined): K | undefined; /** Returns the next pair whose key is smaller than the specified key (or undefined if there is none). * If key === undefined, this function returns the highest pair. * @param key The key to search for. * @param reusedArray Optional array used repeatedly to store key-value pairs, to * avoid creating a new array each time you call this method. */ nextLowerPair(key: K | undefined, reusedArray?: [K, V]): [K, V] | undefined; /** Returns the next key smaller than the specified key, or undefined if there is none. * Also, nextLowerKey(undefined) returns the highest key. */ nextLowerKey(key: K | undefined): K | undefined; /** Returns the key-value pair associated with the supplied key if it exists * or the pair associated with the next lower pair otherwise. If there is no * next lower pair, undefined is returned. * @param key The key to search for. * @param reusedArray Optional array used repeatedly to store key-value pairs, to * avoid creating a new array each time you call this method. * */ getPairOrNextLower(key: K, reusedArray?: [K, V]): [K, V] | undefined; /** Returns the key-value pair associated with the supplied key if it exists * or the pair associated with the next lower pair otherwise. If there is no * next lower pair, undefined is returned. * @param key The key to search for. * @param reusedArray Optional array used repeatedly to store key-value pairs, to * avoid creating a new array each time you call this method. * */ getPairOrNextHigher(key: K, reusedArray?: [K, V]): [K, V] | undefined; /** Edits the value associated with a key in the tree, if it already exists. * @returns true if the key existed, false if not. */ changeIfPresent(key: K, value: V): boolean; /** * Builds an array of pairs from the specified range of keys, sorted by key. * Each returned pair is also an array: pair[0] is the key, pair[1] is the value. * @param low The first key in the array will be greater than or equal to `low`. * @param high This method returns when a key larger than this is reached. * @param includeHigh If the `high` key is present, its pair will be included * in the output if and only if this parameter is true. Note: if the * `low` key is present, it is always included in the output. * @param maxLength Length limit. getRange will stop scanning the tree when * the array reaches this size. * @description Computational complexity: O(result.length + log size) */ getRange(low: K, high: K, includeHigh?: boolean, maxLength?: number): [K, V][]; /** Adds all pairs from a list of key-value pairs. * @param pairs Pairs to add to this tree. If there are duplicate keys, * later pairs currently overwrite earlier ones (e.g. [[0,1],[0,7]] * associates 0 with 7.) * @param overwrite Whether to overwrite pairs that already exist (if false, * pairs[i] is ignored when the key pairs[i][0] already exists.) * @returns The number of pairs added to the collection. * @description Computational complexity: O(pairs.length * log(size + pairs.length)) */ setPairs(pairs: [K, V][], overwrite?: boolean): number; forRange(low: K, high: K, includeHigh: boolean, onFound?: (k: K, v: V, counter: number) => void, initialCounter?: number): number; /** * Scans and potentially modifies values for a subsequence of keys. * Note: the callback `onFound` should ideally be a pure function. * Specfically, it must not insert items, call clone(), or change * the collection except via return value; out-of-band editing may * cause an exception or may cause incorrect data to be sent to * the callback (duplicate or missed items). It must not cause a * clone() of the collection, otherwise the clone could be modified * by changes requested by the callback. * @param low The first key scanned will be greater than or equal to `low`. * @param high Scanning stops when a key larger than this is reached. * @param includeHigh If the `high` key is present, `onFound` is called for * that final pair if and only if this parameter is true. * @param onFound A function that is called for each key-value pair. This * function can return `{value:v}` to change the value associated * with the current key, `{delete:true}` to delete the current pair, * `{break:R}` to stop early with result R, or it can return nothing * (undefined or {}) to cause no effect and continue iterating. * `{break:R}` can be combined with one of the other two commands. * The third argument `counter` is the number of items iterated * previously; it equals 0 when `onFound` is called the first time. * @returns The number of values scanned, or R if the callback returned * `{break:R}` to stop early. * @description * Computational complexity: O(number of items scanned + log size) * Note: if the tree has been cloned with clone(), any shared * nodes are copied before `onFound` is called. This takes O(n) time * where n is proportional to the amount of shared data scanned. */ editRange(low: K, high: K, includeHigh: boolean, onFound: (k: K, v: V, counter: number) => EditRangeResult | void, initialCounter?: number): R | number; /** Same as `editRange` except that the callback is called for all pairs. */ editAll(onFound: (k: K, v: V, counter: number) => EditRangeResult | void, initialCounter?: number): R | number; /** * Removes a range of key-value pairs from the B+ tree. * @param low The first key scanned will be greater than or equal to `low`. * @param high Scanning stops when a key larger than this is reached. * @param includeHigh Specifies whether the `high` key, if present, is deleted. * @returns The number of key-value pairs that were deleted. * @description Computational complexity: O(log size + number of items deleted) */ deleteRange(low: K, high: K, includeHigh: boolean): number; /** Deletes a series of keys from the collection. */ deleteKeys(keys: K[]): number; /** Gets the height of the tree: the number of internal nodes between the * BTree object and its leaf nodes (zero if there are no internal nodes). */ get height(): number; /** Makes the object read-only to ensure it is not accidentally modified. * Freezing does not have to be permanent; unfreeze() reverses the effect. * This is accomplished by replacing mutator functions with a function * that throws an Error. Compared to using a property (e.g. this.isFrozen) * this implementation gives better performance in non-frozen BTrees. */ freeze(): void; /** Ensures mutations are allowed, reversing the effect of freeze(). */ unfreeze(): void; /** Returns true if the tree appears to be frozen. */ get isFrozen(): boolean; /** Scans the tree for signs of serious bugs (e.g. this.size doesn't match * number of elements, internal nodes not caching max element properly...). * Computational complexity: O(number of nodes). This method validates cached size * information and, optionally, the ordering of keys (including leaves), which * takes more time to check (O(size), which is technically the same big-O). */ checkValid(checkOrdering?: boolean): void; } /** A TypeScript helper function that simply returns its argument, typed as * `ISortedSet` if the BTree implements it, as it does if `V extends undefined`. * If `V` cannot be `undefined`, it returns `unknown` instead. Or at least, that * was the intention, but TypeScript is acting weird and may return `ISortedSet` * even if `V` can't be `undefined` (discussion: btree-typescript issue #14) */ export declare function asSet(btree: BTree): undefined extends V ? ISortedSet : unknown; /** A BTree frozen in the empty state. */ export declare const EmptyBTree: BTree;