Bezier curve ease, Newton-Raphson-Iteration, Binary Subdivision
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readme.md

#bease

##Install

$ npm install bease

##Use

import Ease from 'ease/source/BezierEase';
import Interval from 'ease/source/Interval';

const ease = Ease.EaseIn();

const y = ease.yOfX(0.5);


const interval = new Interval(0.0, 60.0, 0.0, 100.0, ease);
 
const n = interval.nOfT(30.0);

Table of Contents

BezierEase

Bezier easing curve

constructor

Creates a new instance

Parameters

  • x0 number The x coordinate of the second control point
  • y0 number The y coordinate of the second control point
  • x1 number The x coordinate of the third control point
  • y1 number The y coordinate of the third control point

define

Redefines the instance

Parameters

  • x1 number The x coordinate of the second control point
  • y1 number The y coordinate of the second control point
  • x2 number The x coordinate of the third control point
  • y2 number The y coordinate of the third control point

Returns BezierEase

x1

The x coordinate of the second control point

y1

The y coordinate of the second control point

x2

The x coordinate of the third control point

y2

The y coordinate of the third control point

xOfT

Returns the x of t p(t) = (1-t)³p0 + 3t(1-t)²p1 + 3t²(1-t)p2 + t³p3 => 3t(1-t)²p1 + 3t²(1-t)p2 + t³ <=> (1-3p2+3p1)t³ + (3p2-6p1)t² + (3p1)t => at³ + bt² + ct

Parameters

Returns number

yOfT

Returns the y of t p(t) = (1-t)³p0 + 3t(1-t)²p1 + 3t²(1-t)p2 + t³p3 => 3t(1-t)²p1 + 3t²(1-t)p2 + t³ <=> (1-3p2+3p1)t³ + (3p2-6p1)t² + (3p1)t => at³ + bt² + ct

Parameters

Returns number

tOfX

Returns the t of x

Parameters

Returns number

tOfY

Returns the t of y

Parameters

Returns number

xOfY

Returns the x of y

Parameters

Returns number

yOfX

Returns the y of x

Parameters

Returns number

toString

Returns a string representation of the instance

Parameters

  • digits int? The decimal places (optional, default 3)

Returns string

Define

Returns a defined instance

Parameters

  • x1 number The x coordinate of the second control point
  • y1 number The y coordinate of the second control point
  • x2 number The x coordinate of the third control point
  • y2 number The y coordinate of the third control point
  • target BezierEase? The target instance

Returns BezierEase

Linear

Returns a instance representing the (0.0,0.0,1.0,1.0) bezier curve

Parameters

Returns BezierEase

Ease

Returns a instance representing the (0.25,0.1,0.25,1.0) bezier curve

Parameters

Returns BezierEase

EaseIn

Returns a instance representing the (0.42,0.0,1.0,1.0) bezier curve

Parameters

Returns BezierEase

EaseOut

Returns a instance representing the (0.0,0.0,0.58,1.0) bezier curve

Parameters

Returns BezierEase

EaseInOut

Returns a instance representing the (0.42,0.0,0.58,1.0) bezier curve

Parameters

Returns BezierEase

isEQ

Returns true if a == b, false otherwise

Parameters

Returns boolean

Interval

Transformation interval

constructor

Creates a new instance

Parameters

  • t0 number The first interval offset
  • tDelta number The interval duration
  • n0 number The first interval state
  • nDelta number The interval magnitude
  • ease BezierEase The interval easing

t0

The first interval state

tDelta

The interval duration

n0

The first interval state

nDelta

The interval magnitude

ease

The interval easing

define

Redefines the instance

Parameters

  • t0 number The first interval offset
  • tDelta number The interval duration
  • n0 number The first interval state
  • nDelta number The interval magnitude
  • ease BezierEase The interval easing

Returns Interval

tN

The last interval offset

nN

The last interval state

fOfT

Returns the unclamped interval duration fraction

Parameters

Returns number

nOfT

Returns the clamped interval state

Parameters

Returns number

nOfF

Returns the unclamped interval state

Parameters

  • f number The interval duration fraction

Returns number

toString

Returns a string representation of the instance

Parameters

  • digits int? The representation digits (optional, default 3)

Returns string

Define

Returns a defined instance

Parameters

  • t0 number The first interval offset
  • tDelta number The interval duration
  • n0 number The first interval state
  • nDelta number The interval magnitude
  • ease BezierEase? The interval easing
  • target Interval? The target instance

Returns Interval

Extremes

Returns an instance from interval extremes

Parameters

  • t0 number The first interval offset
  • tN number The last interval offset
  • n0 number The first interval state
  • nN number The last interval state
  • ease BezierEase? The interval easing
  • target Interval? The target instance

Returns Interval