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exponential-warp.html
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<!--
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met:
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OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
"http://www.w3.org/TR/html4/loose.dtd">
<html>
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<title>
</title>
<!-- Slider stuff -->
<script type="text/javascript" src="lib/events.js"></script>
<style type="text/css">
#slider { margin: 10px; }
</style>
<link rel="stylesheet" type="text/css" href = "style/simple.css" />
<!-- Our javascript code -->
<script type="text/javascript">
// Events
// init() once the page has finished loading.
window.onload = init;
var canvas;
var canvasContext;
var canvasWidth = 0;
var canvasHeight = 0;
var backgroundColor = "rgb(0, 0, 0)";
var curveColor1 = "rgb(192,192,192)";
var curveColor2 = "rgb(255,100,255)";
var gridColor = "rgb(200,200,200)";
var target = 0.5;
var k = 0.005;
function preWarp(x) {
return Math.asin(x) / (0.5 * Math.PI);
}
function postWarp(x) {
return Math.sin(0.5 * Math.PI * x);
}
function drawCurve() {
var width = canvas.width;
var height = canvas.height;
canvasContext.fillStyle = backgroundColor;
canvasContext.fillRect(0, 0, width, height);
canvasContext.strokeStyle = curveColor1;
canvasContext.lineWidth = 3;
canvasContext.beginPath();
canvasContext.moveTo(0, 0);
// Draw unwarped curve.
var startingValue = 1;
var v = startingValue;
for (var x = 0; x < width; ++x) {
if (x >= width / 4) {
v += (target - v) * k;
}
var y = height - v * height;
canvasContext.lineTo(x, y);
}
canvasContext.stroke();
// Draw warped curve.
canvasContext.strokeStyle = curveColor2;
canvasContext.beginPath();
canvasContext.moveTo(0, 0);
var preWarpedStartingValue = preWarp(startingValue);
var preWarpedTarget = preWarp(target);
v = preWarpedStartingValue;
for (var x = 0; x < width; ++x) {
if (x >= width / 4) {
v += (preWarpedTarget - v) * k;
}
var v2 = postWarp(v);
var y = height - v2 * height;
canvasContext.lineTo(x, y);
}
canvasContext.stroke();
}
function targetHandler(event, ui) {
target = ui.value;
drawCurve();
var info = document.getElementById("target-value");
info.innerHTML = "target = " + target;
}
function kHandler(event, ui) {
k = 0.05 * ui.value;
drawCurve();
var info = document.getElementById("k-value");
info.innerHTML = "k = " + target;
}
function init() {
canvas = document.getElementById('canvasID');
canvasContext = canvas.getContext('2d');
canvasWidth = parseFloat(window.getComputedStyle(canvas, null).width);
canvasHeight = parseFloat(window.getComputedStyle(canvas, null).height);
addSlider("target");
addSlider("k");
configureSlider("target", target, 0.0, 1.0, targetHandler);
configureSlider("k", 20*k, 0, 1, kHandler);
drawCurve();
}
</script>
</head>
<body>
<h1>Warping of Exponential Slew</h1>
<p>
The warped (pink) curve transitions more smoothly at the break point.
</p>
<div id="info">
</div>
<canvas id="canvasID" width="1024" height="768" style="border: 2px inset blue;">
</canvas>
<br><br>
<!-- Sliders and other controls will be added here -->
<div id="controls"> </div>
<div id="info"> </div>
<div id="kits">
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</body>
</html>