[orx-easing] Fix easeInOutQuintic, tweak demo (#233)
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Abe Pazos
GitHub
@@ -4,37 +4,99 @@ Provides easing functions for smooth animation or non-linear interpolation.
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Similar to those on https://easings.net
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- `easeLinear`
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- `easeBackIn`, `easeBackInOut`, `easeBackOut`
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- `easeBounceIn`, `easeBounceInOut`, `easeBounceOut`
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- `easeCircIn`, `easeCircInOut`, `easeCircOut`
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- `easeCubicIn`, `easeCubicInOut` `easeCubicOut`
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- `easeElasticIn`, `easeElasticInOut`, `easeElasticOut`
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- `easeExpoIn`, `easeExpoInOut`, `easeExpoOut`
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- `easeQuadIn`, `easeQuadInOut`, `easeQuadOut`
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- `easeQuartIn`, `easeQuartInOut`, `easeQuartOut`
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- `easeQuintIn`, `easeQuintInOut`, `easeQuintOut`
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- `easeSineIn`, `easeSineInOut`, `easeSineOut`
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| type | |
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|:-----------|:-------------|
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| linear | `easeLinear` |
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| constant 0 | `easeZero` |
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| constant 1 | `easeOne` |
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## usage
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| type | in | in out | out |
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|---------|----------------:|-------------------:|-----------------:|
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| quad | `easeQuadIn` | `easeQuadInOut` | `easeQuadOut` |
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| cubic | `easeCubicIn` | `easeCubicInOut` | `easeCubicOut` |
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| quart | `easeQuartIn` | `easeQuartInOut` | `easeQuartOut` |
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| quint | `easeQuintIn` | `easeQuintInOut` | `easeQuintOut` |
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| circ | `easeCircIn` | `easeCircInOut` | `easeCircOut` |
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| expo | `easeExpoIn` | `easeExpoInOut` | `easeExpoOut` |
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| sine | `easeSineIn` | `easeSineInOut` | `easeSineOut` |
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| back | `easeBackIn` | `easeBackInOut` | `easeBackOut` |
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| bounce | `easeBounceIn` | `easeBounceInOut` | `easeBounceOut` |
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| elastic | `easeElasticIn` | `easeElasticInOut` | `easeElasticOut` |
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`fun easeX(time: Double, bias: Double = 0.0, scale: Double = 1.0, duration : Double = 1.0)`
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## Usage
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```kotlin
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// -- when t is in [0, 1]
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val et = easeQuadIn(t)
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val et = easeQuadIn(t, 0.0, 1.0, 10.0)
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```
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fun easeX(
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t: Double, // current time
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b: Double = 0.0, // beginning (output value when t is 0.0)
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c: Double = 1.0, // change (output delta)
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d: Double = 1.0 // duration = end time
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)
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```
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Using the `Easing` enumeration
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The most common usage involves repeatedly calling the easing function increasing
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the `t` argument while keeping other arguments unchanged. When `t` increases from 0.0 up to `d`, the returned value slides from `b` to `b + c`.
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### Example
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For accelerating from 40.0 down to 10.0 in 10 steps:
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```kotlin
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repeat(10) {
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val y = easeQuadIn(it.toDouble(), 40.0, -30.0, 9.0)
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println("$it -> $y")
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}
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```
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Outputs
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```
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0 -> 40.0
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1 -> 39.629629629629626
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2 -> 38.51851851851852
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3 -> 36.666666666666664
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4 -> 34.074074074074076
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5 -> 30.74074074074074
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6 -> 26.666666666666668
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7 -> 21.85185185185185
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8 -> 16.2962962962963
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9 -> 10.0
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```
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Note how most result values are closer to 40.0 than to 10.0, due to the usage of
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an `In` easing function. `easeCubicIn`, `easeQuartIn` and `easeQuinticIn` functions would make this even more obvious.
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### Default arguments
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When `t` is in `[0, 1]` we can omit most arguments
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```kotlin
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val e0 = easeQuadIn(t, 0.0, 1.0, 1.0)
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val e1 = easeQuadIn(t)
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```
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### Using the `Easing` enumeration
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The `Easing` enum contains all easing functions.
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```kotlin
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val et = Easing.QuadIn.function(t, 0.0, 1.0, 1.0)
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// list all easing function names
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Easing.values().forEach { easing ->
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println(easing.name)
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}
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// find out how many easing functions are available
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println(Easing.values().size)
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```
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<!-- __demos__ -->
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## Demos
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### DemoEasings01
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[source code](src/demo/kotlin/DemoEasings01.kt)
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@@ -25,6 +25,7 @@ kotlin {
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kotlin.srcDir("src/demo")
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dependencies {
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implementation(project(":orx-camera"))
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implementation(project(":orx-shapes"))
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implementation("org.openrndr:openrndr-application:$openrndrVersion")
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implementation("org.openrndr:openrndr-extensions:$openrndrVersion")
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runtimeOnly("org.openrndr:openrndr-gl3:$openrndrVersion")
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@@ -4,6 +4,15 @@ import kotlin.math.*
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typealias EasingFunction = (Double, Double, Double, Double) -> Double
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/**
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* # Easing function arguments
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*
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* @param t current Time
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* @param b Beginning value
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* @param c Change in value (the final value is `b+c`)
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* @param d Duration (maximum time)
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*/
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fun easeLinear(t: Double, b: Double = 0.0, c: Double = 1.0, d: Double = 1.0) = c * (t / d) + b
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// -- constant
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@@ -261,11 +270,9 @@ fun easeQuintIn(t: Double, b: Double = 0.0, c: Double = 1.0, d: Double = 1.0): D
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}
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fun easeQuintInOut(t: Double, b: Double = 0.0, c: Double = 1.0, d: Double = 1.0): Double {
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val t2 = t * 2.0
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val t22 = t2 - 2.0
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return if (t < 0.5) 0.5 * t2 * t2 * t2 * t2 * t2 else {
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0.5 * (t22 * t22 * t22 * t22 * t22 + 2.0)
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}
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val td = t / (d / 2)
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val td2 = td - 2.0
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return if (td < 1) c / 2 * td * td * td * td * td + b else c / 2 * (td2 * td2 * td2 * td2 * td2 + 2) + b
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}
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fun easeQuintOut(t: Double, b: Double = 0.0, c: Double = 1.0, d: Double = 1.0): Double {
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@@ -284,7 +291,12 @@ fun easeSineOut(t: Double, b: Double = 0.0, c: Double = 1.0, d: Double = 1.0): D
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fun easeSineInOut(t: Double, b: Double = 0.0, c: Double = 1.0, d: Double = 1.0): Double =
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-c / 2 * (cos(PI * t / d) - 1) + b
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/**
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* Enum containing all easing functions
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*
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* Use the `Easing.values()` list to iterate over available functions,
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* query its `.size` property or get functions by index.
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*/
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enum class Easing(val function: EasingFunction) {
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Linear(::easeLinear),
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@@ -331,5 +343,3 @@ enum class Easing(val function: EasingFunction) {
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SineInOut(::easeSineInOut),
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SineOut(::easeSineOut),
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}
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@@ -1,9 +1,17 @@
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import org.openrndr.application
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import org.openrndr.color.ColorRGBa
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import org.openrndr.extensions.SingleScreenshot
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import org.openrndr.extras.easing.*
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import org.openrndr.draw.loadFont
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import org.openrndr.extra.shapes.grid
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import org.openrndr.extras.easing.Easing
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import org.openrndr.math.Vector2
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import org.openrndr.math.map
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/**
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* # Visualizes Easing types as a graph and as motion.
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*
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* [grid] is used to layout graphs on rows and columns.
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*
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*/
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fun main() {
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application {
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configure {
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@@ -11,63 +19,60 @@ fun main() {
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height = 1080
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}
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program {
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fun drawEasing(f: EasingFunction) {
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val font = loadFont("demo-data/fonts/IBMPlexMono-Regular.ttf", 20.0)
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// grid `columns * rows` must be >= Easing.values().size
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val grid = drawer.bounds.grid(
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3, 11, 10.0, 10.0, 10.0, 10.0
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).flatten()
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// make pairs of (easing function, grid rectangle)
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val pairs = Easing.values() zip grid
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extend {
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// ~4 seconds animation loop
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val animT = (frameCount % 240) / 60.0
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pairs.forEach { (easing, gridRect) ->
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// background rectangle
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drawer.stroke = null
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drawer.fill = ColorRGBa.WHITE.opacify(0.3)
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drawer.rectangle(gridRect)
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// graph
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drawer.stroke = ColorRGBa.PINK
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val points = mutableListOf<Vector2>()
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for (i in 0 .. 40) {
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val y = 40.0 - f(i / 40.0, 0.0, 1.0, 1.0) * 40.0
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points.add(Vector2(i*10.0, y))
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val points = List(40) {
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val curveT = it / 39.0
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gridRect.position(
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curveT, easing.function(curveT, 1.0, -1.0, 1.0)
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)
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}
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drawer.lineStrip(points)
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drawer.stroke = ColorRGBa.GRAY
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drawer.lineSegment(0.0, 40.0, 400.0, 40.0)
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drawer.lineSegment(0.0, 20.0, 400.0, 20.0)
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}
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extend {
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drawer.stroke = ColorRGBa.WHITE
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val functions = listOf(
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::easeLinear,
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::easeQuadIn,
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::easeQuadOut,
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::easeQuadInOut,
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::easeCubicIn,
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::easeCubicOut,
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::easeCubicInOut,
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::easeCircIn,
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::easeCircOut,
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::easeCircInOut,
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::easeQuartIn,
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::easeQuartOut,
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::easeQuartInOut,
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::easeExpoIn,
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::easeExpoOut,
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::easeExpoInOut,
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::easeQuintIn,
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::easeQuintOut,
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::easeQuintInOut,
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::easeSineIn,
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::easeSineOut,
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::easeSineInOut,
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::easeBackIn,
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::easeBackOut,
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::easeBackInOut,
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::easeElasticIn,
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::easeElasticOut,
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::easeElasticInOut,
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::easeBounceIn,
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::easeBounceOut,
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::easeBounceInOut
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// label
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drawer.fill = ColorRGBa.WHITE
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drawer.stroke = null
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drawer.fontMap = font
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drawer.text(
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easing.name,
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// text position rounded for crisp font rendering
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gridRect.position(0.02, 0.25).toInt().vector2
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)
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var i = 0
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for (f in functions) {
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drawEasing(f)
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drawer.translate(0.0, 50.0)
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i ++
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if (i > 19) {
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drawer.translate(450.0, -20 * 50.0)
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i = 0
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}
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// animation
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drawer.fill = ColorRGBa.WHITE.opacify(
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when { // 4-stage opacity
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animT > 3.0 -> 0.0 // invisible
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animT > 2.0 -> 3.0 - animT // fade-out
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animT < 1.0 -> animT // fade-in
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else -> 1.0 // visible
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}
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)
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// move only while visible (when loop time in 1.0..2.0)
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val t = animT.map(1.0, 2.0, 0.0, 1.0, true)
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val xy = Vector2(1.0, easing.function(t, 1.0, -1.0, 1.0))
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drawer.circle(gridRect.position(xy), 5.0)
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}
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}
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}
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