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@thi.ng/transducers

transducers

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This project is part of the @thi.ng/umbrella monorepo.

About

Lightweight transducer implementations for ES6 / TypeScript.

This library provides altogether ~130 transducers, reducers, sequence generators (ES6 generators/iterators) and additional supporting functions for composing data transformation pipelines.

The overall concept and many of the core functions offered here are directly inspired by the original Clojure implementation by Rich Hickey, though the implementation does heavily differ (also in contrast to some other JS based implementations) and dozens of less common, but generally highly useful operators have been added. See full list below.

Furthermore, most transducers & reducers provided here accept an optional input iterable, which allows them to be used directly as transformers instead of having to wrap them in one of the execution functions (i.e. transduce(), reduce(), iterator(), run(), step()). If called this way, transducer functions will return a transforming ES6 iterator (generator) and reducing functions will return a reduced result of the given input iterable.

Status

STABLE - used in production

7.0.0 release

Thanks to a PR and related issue by @gavinpc-mindgrub, various transducers functions have been fixed for the case when they're invoked with an empty string as input iterable. Furthermore, flatten() is always treating strings as atomic values now, whereas before top-level strings would be split into individual characters.

6.0.0 release

BREAKING CHANGES:

  • The interpolate iterator for keyframe interpolation has been renamed to tween. In its place there's a new higher order transducer called interpolate, incl. syntax-sugar versions interpolateHermite and interpolateLinear.
  • The previously deprecated wrapLeft, wrapRight and wrapBoth iterators have been removed.
  • The wrap iterator has been renamed to wrapSides and has a new signature/arguments, more aligned with the ones listed below.

The following new iterators have been added:

  • extendSides
  • padSides
  • symmetric

5.0.0 release

Several previously included internal support functions have been migrated to the @thi.ng/arrays package. You'll need to update your imports if you've been using any of these directly. Note that some of these functions also have changes to their arg order. See changelog.

Functions using randomness now all support an optional PRNG implementation of the IRandom interface from the @thi.ng/random package.

Support packages

Related packages

Blog posts

Installation

yarn add @thi.ng/transducers
// ES module
<script type="module" src="https://unpkg.com/@thi.ng/transducers?module" crossorigin></script>

// UMD
<script src="https://unpkg.com/@thi.ng/transducers/lib/index.umd.js" crossorigin></script>

Package sizes (gzipped, pre-treeshake): ESM: 8.00 KB / CJS: 8.54 KB / UMD: 7.72 KB

Dependencies

Usage examples

Several demos in this repo's /examples directory are using this package.

A selection:

ScreenshotDescriptionLive demoSource
Interactive image processing (adaptive threshold)DemoSource
Figlet-style bitmap font creation with transducersDemoSource
2D transducer based cellular automataDemoSource
Heatmap visualization of this mono-repo's commitsDemoSource
Filterable commit log UI w/ minimal server to provide commit historyDemoSource
Basic crypto-currency candle chart with multiple moving averages plotsDemoSource
hdom update performance benchmark w/ config optionsDemoSource
Interactive pattern drawing demo using transducersDemoSource
Various hdom-canvas shape drawing examples & SVG conversion / exportDemoSource
Custom dropdown UI component w/ fuzzy searchDemoSource
Animated sine plasma effect visualized using contour linesDemoSource
Transforming JSON into UI componentsDemoSource
Worker based, interactive Mandelbrot visualizationDemoSource
CLI util to visualize umbrella pkg statsDemoSource
Unison wavetable synth with waveform editorDemoSource
Animated Voronoi diagram, cubic splines & SVG downloadDemoSource
Minimal demo of using rstream constructs to form an interceptor-style event loopDemoSource
Interactive grid generator, SVG generation & export, undo/redo supportDemoSource
Fork-join worker-based raymarch rendererDemoSource
Simplistic SVG bar chart componentDemoSource
Additive waveform synthesis & SVG visualization with undo/redoDemoSource
Triple store query results & sortable tableDemoSource
WebGL multi-colored cube meshDemoSource
WebGL instancing, animated gridDemoSource
WebGL MSDF text rendering & particle systemDemoSource
1D Wolfram automata with OBJ point cloud exportDemoSource
XML/HTML/SVG to hiccup/JS conversionDemoSource

Basic usage patterns

// compose transducer
xform = tx.comp(
    tx.filter((x) => (x & 1) > 0), // odd numbers only
    tx.distinct(),                 // distinct numbers only
    tx.map((x) => x * 3)           // times 3
);

// collect into array (tx.push)
tx.transduce(xform, tx.push(), [1, 2, 3, 4, 5, 4, 3, 2, 1]);
// [ 3, 9, 15 ]

// re-use same xform, but collect into ES6 Set
tx.transduce(xform, tx.conj(), [1, 2, 3, 4, 5, 4, 3, 2, 1]);
// Set { 3, 9, 15 }

// or apply as transforming iterator
// no reduction, only transformations
[...tx.iterator(xform, [1, 2, 3, 4, 5])]
// [ 3, 9, 15]

// alternatively provide an input iterable and
// use xform as transforming iterator
[...tx.filter((x) => /[A-Z]/.test(x), "Hello World!")]
// ["H", "W"]

// single step execution
// returns undefined if transducer returned no result for this input
// returns array if transducer step produced multiple results
f = tx.step(xform);
f(1) // 3
f(2) // undefined
f(3) // 9
f(4) // undefined

f = tx.step(take)

Interpolation & SVG generation

This example uses the @thi.ng/geom package for quick SVG generation.

example output

import { asSvg, svgDoc, circle, polyline } from "@thi.ng/geom";

// source values
const values = [5, 10, 4, 8, 20, 2, 11, 7];

// interpolate values and transform into 2D points
const vertices = [...tx.iterator(
    tx.comp(
        tx.interpolateHermite(10),
        tx.mapIndexed((x, y) => [x, y])
    ),
    // duplicate first & last vals (1x LHS / 2x RHS)
    // this is only needed for hermite interpolation
    // (see doc string for `interpolateHermite`)
    tx.extendSides(values, 1, 2)
)];

// generate SVG
asSvg(
    svgDoc(
        { width: 800, height: 200, "stroke-width": 0.1 },
        // interpolated points as polyline
        polyline(vertices, { stroke: "red" }),
        // original values as dots
        ...values.map((y, x) => circle([x * 10, y], 0.2))
    )
)

Fuzzy search

[...tx.filterFuzzy("ho", ["hello", "hallo", "hey", "heyoka"])]
// ["hello", "hallo", "heyoka"]
[...tx.filterFuzzy("hlo", ["hello", "hallo", "hey", "heyoka"])]
// ["hello", "hallo"]

// works with any array-like values & supports custom key extractors
[...tx.filterFuzzy(
    [1, 3],
    { key: (x) => x.tags },
    [
        { tags: [1, 2, 3] },
        { tags: [2, 3, 4] },
        { tags: [4, 5, 6] },
        { tags: [1, 3, 6] }
    ]
)]
// [ { tags: [ 1, 2, 3 ] }, { tags: [ 1, 3, 6 ] } ]

Histogram generation & result grouping

// use the `frequencies` reducer to create
// a map counting occurrence of each value
tx.transduce(tx.map((x) => x.toUpperCase()), tx.frequencies(), "hello world");
// Map { 'H' => 1, 'E' => 1, 'L' => 3, 'O' => 2, ' ' => 1, 'W' => 1, 'R' => 1, 'D' => 1 }

// reduction only (no transform)
tx.reduce(tx.frequencies(), [1, 1, 1, 2, 3, 4, 4]);
// Map { 1 => 3, 2 => 1, 3 => 1, 4 => 2 }

// direct reduction if input is given
tx.frequencies([1, 1, 1, 2, 3, 4, 4]);
// Map { 1 => 3, 2 => 1, 3 => 1, 4 => 2 }

// with optional key function, here to bin by word length
tx.frequencies(
    (x) => x.length,
    "my camel is collapsing and needs some water".split(" ")
);
// Map { 2 => 2, 5 => 3, 10 => 1, 3 => 1, 4 => 1 }

// actual grouping (here: by word length)
tx.groupByMap(
    { key: (x) => x.length },
    "my camel is collapsing and needs some water".split(" ")
);
// Map {
//   2 => [ 'my', 'is' ],
//   3 => [ 'and' ],
//   4 => [ 'some' ],
//   5 => [ 'camel', 'needs', 'water' ],
//   10 => [ 'collapsing' ]
// }
// extract only items for given page id & page length
[...tx.page(0, 5, tx.range(12))]
// [ 0, 1, 2, 3, 4 ]

// when composing with other transducers
// it's most efficient to place `page()` early on in the chain
// that way only the page items will be further processed
[...tx.iterator(tx.comp(tx.page(1, 5), tx.map(x => x * 10)), tx.range(12))]
// [ 50, 60, 70, 80, 90 ]

// use `padLast()` to fill up missing values
[...tx.iterator(tx.comp(tx.page(2, 5), tx.padLast(5, "n/a")), tx.range(12))]
// [ 10, 11, 'n/a', 'n/a', 'n/a' ]

// no values produced for invalid pages
[...tx.page(3, 5, tx.range(12))]
// []

Multiplexing / parallel transducer application

multiplex and multiplexObj can be used to transform values in parallel using the provided transducers (which can be composed as usual) and results in a tuple or keyed object.

tx.transduce(
    tx.multiplex(
        tx.map((x) => x.charAt(0)),
        tx.map((x) => x.toUpperCase()),
        tx.map((x) => x.length)
    ),
    tx.push(),
    ["Alice", "Bob", "Charlie"]
);
// [ [ "A", "ALICE", 5 ], [ "B", "BOB", 3 ], [ "C", "CHARLIE", 7 ] ]

tx.transduce(
    tx.multiplexObj({
        initial: tx.map((x) => x.charAt(0)),
        name: tx.map((x) => x.toUpperCase()),
        len: tx.map((x) => x.length)
    }),
    tx.push(),
    ["Alice", "Bob", "Charlie"]
);
// [ { len: 5, name: 'ALICE', initial: 'A' },
//   { len: 3, name: 'BOB', initial: 'B' },
//   { len: 7, name: 'CHARLIE', initial: 'C' } ]

Moving average using sliding window

// use nested reduce to compute window averages
tx.transduce(
    tx.comp(
        tx.partition(5, 1),
        tx.map(x => tx.reduce(tx.mean(), x))
    ),
    tx.push(),
    [1, 2, 3, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10]
)
// [ 2.6, 3.4, 4, 4.6, 5.4, 6.2, 6.8, 7.6, 8.4 ]

// this combined transducer is also directly
// available as: `tx.movingAverage(n)`
[...tx.movingAverage(5, [1, 2, 3, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10])]
// [ 2.6, 3.4, 4, 4.6, 5.4, 6.2, 6.8, 7.6, 8.4 ]

Benchmark function execution time

// function to test
fn = () => {
    let x;
    for (i = 0; i < 1e6; i++) {
        x = Math.cos(i);
    }
    return x;
};

// compute the mean of 100 runs
tx.transduce(tx.benchmark(), tx.mean(), tx.repeatedly(fn, 100));
// 1.93 (milliseconds)

Apply inspectors to debug transducer pipeline

// alternatively, use tx.sideEffect() for any side fx
tx.transduce(
    tx.comp(
        tx.trace("orig"),
        tx.map((x) => x + 1),
        tx.trace("mapped"),
        tx.filter((x) => (x & 1) > 0)
    ),
    tx.push(),
    [1, 2, 3, 4]
);
// orig 1
// mapped 2
// orig 2
// mapped 3
// orig 3
// mapped 4
// orig 4
// mapped 5
// [ 3, 5 ]

Stream parsing / structuring

The struct transducer is simply a composition of: partitionOf -> partition -> rename -> mapKeys. See code here.

// Higher-order transducer to convert linear input into structured objects
// using given field specs and ordering. A single field spec is an array of
// 2 or 3 items: `[name, size, transform?]`. If `transform` is given, it will
// be used to produce the final value for this field. In the example below,
// it is used to unwrap the ID field values, e.g. from `[0] => 0`
[
    ...tx.struct(
        [["id", 1, (id) => id[0]], ["pos", 2], ["vel", 2], ["color", 4]],
        [0, 100, 200, -1, 0, 1, 0.5, 0, 1, 1, 0, 0, 5, 4, 0, 0, 1, 1]
    )
];
// [ { color: [ 1, 0.5, 0, 1 ],
//     vel: [ -1, 0 ],
//     pos: [ 100, 200 ],
//     id: 0 },
//   { color: [ 0, 0, 1, 1 ],
//     vel: [ 5, 4 ],
//     pos: [ 0, 0 ],
//     id: 1 } ]

CSV parsing

tx.transduce(
    tx.comp(
        // split into rows
        tx.mapcat((x) => x.split("\n")),
        // split each row
        tx.map((x) => x.split(",")),
        // convert each row into object, rename array indices
        tx.rename({ id: 0, name: 1, alias: 2, num: "length" })
    ),
    tx.push(),
    ["100,typescript\n101,clojure,clj\n110,rust,rs"]
);
// [ { num: 2, name: 'typescript', id: '100' },
//   { num: 3, alias: 'clj', name: 'clojure', id: '101' },
//   { num: 3, alias: 'rs', name: 'rust', id: '110' } ]

Early termination

// result is realized after max. 7 values, irrespective of nesting
tx.transduce(tx.comp(tx.flatten(), tx.take(7)), tx.push(), [
    1,
    [2, [3, 4, [5, 6, [7, 8], 9, [10]]]]
]);
// [1, 2, 3, 4, 5, 6, 7]

Scan operator

// this transducer uses 2 scans (a scan = inner reducer per item)
// 1) counts incoming values
// 2) forms an array of the current counter value `x` & repeated `x` times
// 3) emits results as series of reductions in the outer array produced
//    by the main reducer
// IMPORTANT: since arrays are mutable we use `pushCopy` as the inner reducer
// instead of `push` (the outer reducer)
xform = tx.comp(
    tx.scan(tx.count()),
    tx.map(x => [...tx.repeat(x,x)]),
    tx.scan(tx.pushCopy())
)

[...tx.iterator(xform, [1, 1, 1, 1])]
// [ [ [ 1 ] ],
//   [ [ 1 ], [ 2, 2 ] ],
//   [ [ 1 ], [ 2, 2 ], [ 3, 3, 3 ] ],
//   [ [ 1 ], [ 2, 2 ], [ 3, 3, 3 ], [ 4, 4, 4, 4 ] ] ]

// more simple & similar to previous, but without the 2nd xform step
tx.transduce(tx.comp(tx.scan(tx.count()), tx.scan(tx.pushCopy())), tx.push(), [1,1,1,1])
// [ [ 1 ], [ 1, 2 ], [ 1, 2, 3 ], [ 1, 2, 3, 4 ] ]

Weighted random choices

[...tx.take(10, tx.choices("abcd", [1, 0.5, 0.25, 0.125]))];
// [ 'a', 'a', 'b', 'a', 'a', 'b', 'a', 'c', 'd', 'b' ]

tx.transduce(
    tx.take(1000),
    tx.frequencies(),
    tx.choices("abcd", [1, 0.5, 0.25, 0.125])
);
// Map { 'c' => 132, 'a' => 545, 'b' => 251, 'd' => 72 }

Keyframe interpolation

See tween() docs for details.

[
    ...tween(
        10,
        0,
        100,
        (a, b) => [a, b],
        ([a, b], t) => Math.floor(a + (b - a) * t),
        [20, 100],
        [50, 200],
        [80, 0]
    )
];
// [ 100, 100, 100, 133, 166, 200, 133, 66, 0, 0, 0 ]

API

Generated API docs

Types

Apart from type aliases, the only real types defined are:

Reducer

Reducers are the core building blocks of transducers. Unlike other implementations using OOP approaches, a Reducer in this lib is a simple 3-element array of functions, each addressing a separate processing step.

Since v0.6.0 the bundled reducers are all wrapped in functions to provide a uniform API (and some of them can be preconfigured and/or are stateful closures). However, it's fine to define stateless reducers as constant arrays.

interface Reducer<A, B> extends Array<any> {
    /**
     * Initialization, e.g. to provide a suitable accumulator value,
     * only called when no initial accumulator has been provided by user.
     */
    [0]: () => A;
    /**
     * Completion. When called usually just returns `acc`, but stateful
     * transformers should flush/apply their outstanding results.
     */
    [1]: (acc: A) => A;
    /**
     * Reduction step. Combines new input with accumulator.
     * If reduction should terminate early, wrap result via `reduced()`
     */
    [2]: (acc: A, x: B) => A | Reduced<A>;
}

// A concrete example:
const push: Reducer<any[], any> = [
    // init
    () => [],
    // completion (nothing to do in this case)
    (acc) => acc,
    // step
    (acc, x) => (acc.push(x), acc)
];

partition, partitionBy, streamSort, streamShuffle are (examples of) transducers making use of their 1-arity completing function.

Reduced

class Reduced<T> implements IDeref<T> {
    protected value: T;
    constructor(val: T);
    deref(): T;
}

Simple type wrapper to identify early termination of a reducer. Does not modify wrapped value by injecting magic properties. Instances can be created via reduced(x) and handled via these helper functions:

  • reduced(x: any): any
  • isReduced(x: any): boolean
  • ensureReduced(x: any): Reduced<any>
  • unreduced(x: any): any

IReducible

By default reduce() consumes inputs via the standard ES6 Iterable interface, i.e. using a for..of.. loop, but uses optimized routes for some types: Array-like inputs are consumed via a traditional for-loop and custom optimized iterations can be provided via implementations of the IReducible interface in the source collection type. Examples can be found here:

Note: The IReducible interface is only used by reduce(), transduce() and run().

Transducer

From Rich Hickey's original definition:

A transducer is a transformation from one reducing function to another

As shown in the examples above, transducers can be dynamically composed (using comp()) to form arbitrary data transformation pipelines without causing large overheads for intermediate collections.

type Transducer<A, B> = (rfn: Reducer<any, B>) => Reducer<any, A>;

// concrete example of stateless transducer (expanded for clarity)
function map<A, B>(fn: (x: A) => B): Transducer<A, B> {
    return (rfn: Reducer<any, B>) => {
        return [
            () => rfn[0](),
            (acc) => rfn[1](acc),
            (acc, x: A) => rfn[2](acc, fn(x))
        ];
    };
}

// stateful transducer
// removes successive value repetitions
function dedupe<T>(): Transducer<T, T> {
    return (rfn: Reducer<any, T>) => {
        // state initialization
        let prev = {};
        return [
            () => rfn[0](),
            (acc) => rfn[1](acc),
            (acc, x) => {
                acc = prev === x ? acc : rfn[2](acc, x);
                prev = x;
                return acc;
            }
        ];
    };
}

IXform interface

Interface for types able to provide some internal functionality (or derive some related transformation) as Transducer. Implementations of this interface can be directly passed to all functions in this package where a Transducer arg is expected.

class Mul implements IXform<number, number> {

    constructor(public factor = 10) {}

    xform() {
        return map((x) => this.factor * x);
    }
}

transduce(new Mul(11), push(), range(4))
// [0, 11, 22, 33, 44]

// also usable w/ comp(), iterator(), step(), run() etc.
transduce(
    comp(drop(1), new Mul(11), takeNth(2)),
    push(),
    range(4)
)
// [11, 33]

Composition & execution

comp

comp(f1, f2, ...)

Returns new transducer composed from given transducers. Data flow is from left to right. Offers fast paths for up to 10 args. If more are given, composition is done dynamically via for loop.

compR

compR(rfn: Reducer<any, any>, fn: (acc, x) => any): Reducer<any, any>

Helper function to compose reducers.

iterator

iterator<A, B>(tx: Transducer<A, B>, xs: Iterable<A>): IterableIterator<B>

Similar to transduce(), but emits results as ES6 iterator (and hence doesn't use a reduction function).

reduce

reduce<A, B>(rfn: Reducer<A, B>, acc: A, xs: Iterable<B>): A

Reduces xs using given reducer and optional initial accumulator/result. If xs implements the IReducible interface, delegates to that implementation. Likewise, uses a fast route if xs is an ArrayLike type.

transduce

transduce<A, B, C>(tx: Transducer<A, B>, rfn: Reducer<C, B>, acc: C, xs: Iterable<A>): C

Transforms iterable using given transducer and combines results with given reducer and optional initial accumulator/result.

run

run<A, B>(tx: Transducer<A, B>, fx: (x: B) => void, xs: Iterable<A>)

Transforms iterable with given transducer and optional side effect without any reduction step. If fx is given it will be called with every value produced by the transducer. If fx is not given, the transducer is assumed to include at least one sideEffect() step itself. Returns nothing.

Transducers

All of the following functions can be used and composed as transducers. With a few exceptions, most also accept an input iterable and then directly yield a transforming iterator, e.g.

// as transducer
tx.transduce(tx.map((x) => x*10), tx.push(), tx.range(4))
// [ 0, 10, 20, 30 ]

// as transforming iterator
[...tx.map((x) => x*10, tx.range(4))]
// [ 0, 10, 20, 30 ]

Generators / Iterators

Reducers

As with transducer functions, reducer functions can also given an optional input iterable. If done so, the function will consume the input and return a reduced result (as if it would be called via reduce()).

Authors

Karsten Schmidt

License

© 2016 - 2020 Karsten Schmidt // Apache Software License 2.0

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