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# ![@thi.ng/sorted-map](https://raw.githubusercontent.com/thi-ng/umbrella/develop/assets/banners/thing-sorted-map.svg?a2ee1fc6)

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> [!NOTE]
> This is one of 209 standalone projects, maintained as part
> of the [@thi.ng/umbrella](https://github.com/thi-ng/umbrella/) monorepo
> and anti-framework.
>
> 🚀 Please help me to work full-time on these projects by [sponsoring me on
> GitHub](https://github.com/sponsors/postspectacular). Thank you! ❤️

- [About](#about)
  - [SortedMap](#sortedmap)
    - [Ranged queries](#ranged-queries)
  - [SortedSet](#sortedset)
- [Status](#status)
- [Related packages](#related-packages)
- [Installation](#installation)
- [Dependencies](#dependencies)
- [API](#api)
  - [Basic usage](#basic-usage)
- [Authors](#authors)
- [License](#license)

## About

Skiplist-based sorted map & set implementation.

This package contains functionality which was previously part of and has been
extracted from the [@thi.ng/associative](https://thi.ng/associative) package.

[Skiplist](https://en.wikipedia.org/wiki/Skip_list) based `SortedMap` &
`SortedSet` implementing the full ES6 Map/Set APIs and additional features:

- range query iterators (via `entries()`, `keys()`, `values()`)
- [`ICompare`](https://docs.thi.ng/umbrella/api/interfaces/ICompare.html),
  [`ICopy`](https://docs.thi.ng/umbrella/api/interfaces/ICopy.html),
  [`IEmpty`](https://docs.thi.ng/umbrella/api/interfaces/IEmpty.html) &
  [`IEquiv`](https://docs.thi.ng/umbrella/api/interfaces/IEquiv.html)
  implementations
- multiple value additions / updates / deletions via `.into()`, `.dissoc()` or
  `.disj()`
- configurable key equality & comparison (incl. default implementations)
- getters w/ optional "not-found" default value

The native ES6 implementations use **object reference** identity to determine
key containment, but often it's **more practical and useful to use equivalent
value semantics** for this purpose, especially when keys are structured data
(arrays / objects).

**Note**: It's the user's responsibility to ensure the inserted keys are kept
immutable (even if technically they're not).

### SortedMap

Alternative implementation of the ES6 Map API using a Skip list as
backing store and support for configurable key equality and sorting
semantics. Like with sets, uses @thi.ng/equiv & @thi.ng/compare by
default.

William Pugh's (creator of this data structure) description:

> "Skip lists are probabilistic data structures that have the same
asymptotic expected time bounds as balanced trees, are simpler, faster
and use less space."

Data structure description:

- ftp://ftp.cs.umd.edu/pub/skipLists/skiplists.pdf
- https://en.wikipedia.org/wiki/Skip_list

#### Ranged queries

```ts
import { defSortedMap } from "@thi.ng/sorted-map";

map = defSortedMap([
    ["c", 3], ["a", 1], ["d", 4], ["b", 2]
]);
// SortedMap { 'a' => 1, 'b' => 2, 'c' => 3, 'd' => 4 }

// all entries
[...map.entries()]
// [ [ 'd', 4 ], [ 'c', 3 ], [ 'b', 2 ], [ 'a', 1 ] ]

// range query w/ given start key
// also works with `keys()` and `values()`
[...map.entries("c")]
// [ [ 'c', 3 ], [ 'd', 4 ] ]

// unknown start keys are ok
[...map.entries("cc")]
// [ [ 'd', 4 ] ]

// range query w/ given MAX key
[...map.entries("c", true)]
// [ [ 'a', 1 ], [ 'b', 2 ], [ 'c', 3 ] ]
```

### SortedSet

Sorted set implementation with standard ES6 Set API, customizable value
equality and comparison semantics and additional functionality:

- range queries (via `entries`, `keys`, `values`)
- multiple value addition/deletion via `into()` and `disj()`

Furthermore, this class implements the `ICopy`, `IEmpty`, `ICompare` and
`IEquiv` interfaces defined by `@thi.ng/api`. The latter two allow
instances to be used as keys themselves in other data types defined in
this (and other) package(s).

This set uses a `SortedMap` as backing store.

## Status

**STABLE** - used in production

[Search or submit any issues for this package](https://github.com/thi-ng/umbrella/issues?q=%5Bsorted-map%5D+in%3Atitle)

## Related packages

- [@thi.ng/associative](https://github.com/thi-ng/umbrella/tree/develop/packages/associative) - ES Map/Set-compatible implementations with customizable equality semantics & supporting operations

## Installation

```bash
yarn add @thi.ng/sorted-map
```

ESM import:

```ts
import * as sm from "@thi.ng/sorted-map";
```

Browser ESM import:

```html
<script type="module" src="https://esm.run/@thi.ng/sorted-map"></script>
```

[JSDelivr documentation](https://www.jsdelivr.com/)

For Node.js REPL:

```js
const sm = await import("@thi.ng/sorted-map");
```

Package sizes (brotli'd, pre-treeshake): ESM: 1.70 KB

## Dependencies

- [@thi.ng/api](https://github.com/thi-ng/umbrella/tree/develop/packages/api)
- [@thi.ng/associative](https://github.com/thi-ng/umbrella/tree/develop/packages/associative)
- [@thi.ng/checks](https://github.com/thi-ng/umbrella/tree/develop/packages/checks)
- [@thi.ng/compare](https://github.com/thi-ng/umbrella/tree/develop/packages/compare)
- [@thi.ng/random](https://github.com/thi-ng/umbrella/tree/develop/packages/random)
- [@thi.ng/transducers](https://github.com/thi-ng/umbrella/tree/develop/packages/transducers)

Note: @thi.ng/api is in _most_ cases a type-only import (not used at runtime)

## API

[Generated API docs](https://docs.thi.ng/umbrella/sorted-map/)

### Basic usage

```ts
import { defSortedSet, defSortedMap } from "@thi.ng/sorted-map";

// define keys w/ equal values
const a = [1, 2];
const b = [1, 2];

const set = defSortedSet([a, [-1, 2], [-1, -2]]);
// SortedSet { [ -1, -2 ], [ -1, 2 ], [ 1, 2 ] }

// `b` was not added directly, but the set uses value equality
set.has(b);
// true

const map = defSortedMap([[a, "foo"], [[-1, -2], "bar"]]);
// SortedMap { [ -1, -2 ] => 'bar', [ 1, 2 ] => 'foo' }

// `b` was not added directly, but the set uses value equality
map.get(b);
// "foo"

// key lookup w/ default value
map.get([3, 4], "n/a");
// "n/a"
```

## Authors

- [Karsten Schmidt](https://thi.ng)

If this project contributes to an academic publication, please cite it as:

```bibtex
@misc{thing-sorted-map,
  title = "@thi.ng/sorted-map",
  author = "Karsten Schmidt",
  note = "https://thi.ng/sorted-map",
  year = 2018
}
```

## License

&copy; 2018 - 2025 Karsten Schmidt // Apache License 2.0
