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https://github.com/freder/piecewise

a library for creating composable easing and envelope functions.
https://github.com/freder/piecewise

crossfade easing envelope javascript

Last synced: 21 days ago
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a library for creating composable easing and envelope functions.

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README

          

# @freder/piecewise

a library for creating composable easing and envelope functions.

## installation

```
# yarn
yarn add @freder/piecewise

# npm
npm install --save @freder/piecewise
```

## example: `easing` function

```javascript
const piecewise = require('@freder/piecewise');

function identity(t) {
return t;
}

function always(c) {
return (t) => c;
}

const piecewiseEasingFn = piecewise.easing([
{
tInterval: [0, 0.5],
tMap: [0, 1], // optional
easingFn: identity,
},
{
tInterval: [0.5, 0.8],
easingFn: always(1),
},
{
tInterval: [0.8, 1],
tMap: [1, 0], // reverse
easingFn: identity,
},
]);
```

`tInterval` is mapped to `tMap`, with which `easingFn` is called. `easingFn` only takes one argument `t`.

visualization:

![](./images/easing.png)

## example: `envelope` function

```javascript
const piecewiseEnvelopeFn = piecewise.easing([
{
tInterval: [0, 0.5],
tMap: [0, 1],
easingFn: identity,
},
{
tInterval: [0.5, 1],
tMap: [1, 0],
easingFn: identity,
},
]);

const finalFn = piecewise.envelope(piecewiseEnvelopeFn, piecewiseEasingFn);
```

`envelope` returns the product of the values of an envelope function and an easing function at time `t`.

visualization:

![](./images/envelope.png)

grey: easing function

red: envelope function

black: resulting function

## example: `mix` function

```javascript
const f1 = identity;
const f2 = always(1);
const finalFn = piecewise.mix(f1, f2, 0.7);
```

`mix` returns a new function that calculates the weighted mean of two functions at time `t`.

visualization:

![](./images/mix.png)

grey: f1, f2

black: resulting function

## example: `crossfade` function

```javascript
const easingFn = piecewise.easing([
{
tInterval: [0, 0.6],
tMap: [0, 1],
easingFn: always(0),
},
{
tInterval: [0.6, 0.8],
tMap: [0, 1],
easingFn: identity,
},
{
tInterval: [0.8, 1],
tMap: [0, 1],
easingFn: always(1),
},
]);

const f1 = always(0.75);
const f2 = always(0.25);
const finalFn = piecewise.crossfade(easingFn, f1, f2);
```

`crossfade` mixes two functions and is controlled by `easingFn`.

visualization:

![](./images/crossfade.png)

grey: f1, f2

red: easing function

black: resulting function

## visualization

→ [visualization-example.js](./visualization-example.js)

## utility functions

```javascript
const easing = require('easing-js');
const { utils } = require('@freder/piecewise');

// wrap penner easing function to only be a function of `t`:
const wrappedEasingFn = utils.wrapPennerFunction(easing.linear);
wrappedEasingFn(0.7); // → 0.7
```