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<!--
This work is licensed under CC BY-NC-ND 4.0
Link to license: http://creativecommons.org/licenses/by-nc-nd/4.0/
Attribute to Russell Georgi
-->
<html>
<head>
<title>
Waves 1-2
</title>
<style>
canvas {
position: absolute;
}
html, body {
width: 100%;
height: 100%;
margin: 0px;
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.redSlider::-moz-range-thumb {
background: #ff0000;
border-radius: 50%;
width: 15px;
height: 15px;
cursor: pointer;
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</style>
</head>
<body>
<canvas id="myCanvas" width="1" height="1" style="border:1px solid #ffffff;">
Your browser does not support the HTML5 canvas tag.</canvas>
<div class="slidecontainer">
<t>This program multiplies complex numbers.</t>
<t>Input the coordinates on w and z in the complex</t>
<t>plane.Then the blue vector is their product.</t>
<br>
<t>Real part of w</t>
<input type="range" min="-20" max="20" value="0" class="greenSlider" id="wRSlider">
<br>
<t>Imaginary part of w</t>
<input type="range" min="-20" max="20" value="0" class="greenSlider" id="wISlider">
<br>
<t>Real part of z</t>
<input type="range" min="-20" max="20" value="0" class="redSlider" id="zRSlider">
<br>
<t>Imaginary part of z</t>
<input type="range" min="-20" max="20" value="0" class="redSlider" id="zISlider">
</div>
<script>
var c = document.getElementById("myCanvas");
var ctx = c.getContext("2d");
c.width = window.innerWidth;
c.height = window.innerHeight;
var clx = "#ff0000";
var clw = "#00ff00";
var clz = "#0000ff";
var wR = 0;
var wRSlider = document.getElementById("wRSlider");
var wI = 0;
var wISlider = document.getElementById("wISlider");
var zR = 0;
var zRSlider = document.getElementById("zRSlider");
var zI = 0;
var zISlider = document.getElementById("zISlider");
var delta = 1;
var xPos = 0;
var yPos = 0;
var bottom = 0;
ctx.translate(ctx.canvas.width / 2, ctx.canvas.height / 2)
ctx.scale(3, 3);
wRSlider.oninput = function()
{
wR = this.value * 5;
}
wISlider.oninput = function()
{
wI = -this.value * 5;
}
zRSlider.oninput = function()
{
zR = this.value * 5;
}
zISlider.oninput = function()
{
zI = -this.value * 5;
}
function Clear(ctx)
{
ctx.clearRect(-c.width, -c.height, c.width * 2, c.height * 2);
}
function Update()
{
Clear(ctx);
var x2 = (zR * wR - zI * wI) / 50;
var y2 = (zR * wI + zI * wR) / 50;
ctx.strokeStyle = clx;
ctx.fillStyle = clx;
ctx.beginPath();
ctx.arc(zR, zI, 1, 0, Math.PI * 2);
ctx.fill();
ctx.strokeStyle = clw;
ctx.fillStyle = clw;
ctx.beginPath();
ctx.arc(wR, wI, 1, 0, Math.PI * 2);
ctx.fill();
ctx.strokeStyle = "#000000";
ctx.fillStyle = "#000000";
ctx.font = '5px serif';
ctx.fillText("Real axis", 65, -3);
ctx.rotate(Math.PI / 2);
ctx.fillText("Imaginary axis", 65, -3);
ctx.rotate(-Math.PI / 2);
ctx.beginPath();
ctx.moveTo(-3, 50);
ctx.lineTo(3, 50);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(-3, -50);
ctx.lineTo(3, -50);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(50, -3);
ctx.lineTo(50, 3);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(-50, -3);
ctx.lineTo(-50, 3);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(0, bottom - 100);
ctx.lineTo(0, 120);
ctx.stroke();
ctx.beginPath();
ctx.moveTo(-150, 0);
ctx.lineTo(150, 0);
ctx.stroke();
ctx.strokeStyle = clx;
ctx.beginPath();
ctx.moveTo(zR, zI);
ctx.lineTo(0, 0);
ctx.stroke();
ctx.strokeStyle = clw;
ctx.beginPath();
ctx.moveTo(wR, wI);
ctx.lineTo(0, 0);
ctx.stroke();
ctx.strokeStyle = clz;
ctx.beginPath();
ctx.moveTo(x2, y2);
ctx.lineTo(0, 0);
ctx.stroke();
ctx.strokeStyle = clz;
ctx.fillStyle = clz;
ctx.beginPath();
ctx.arc(x2, y2, 1, 0, Math.PI * 2);
ctx.fill();
setTimeout(Update, 1000/60)
}
window.addEventListener('resize', function(event) {
c.width = window.innerWidth;
c.height = window.innerHeight;
ctx.translate(c.width / 2, c.height / 2);
ctx.scale(3, 3);
}, true);
Update();
</script>
</body>
<p xmlns:cc="http://creativecommons.org/ns#" style="font-size: 1vw; bottom: 0px; position: absolute;">
This work is licensed under
<a href="http://creativecommons.org/licenses/by-nc-nd/4.0/?ref=chooser-v1" target="_blank" rel="license noopener noreferrer" style="display:inline-block;">CC BY-NC-ND 4.0<img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/cc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/by.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nc.svg?ref=chooser-v1"><img style="height:22px!important;margin-left:3px;vertical-align:text-bottom;" src="https://mirrors.creativecommons.org/presskit/icons/nd.svg?ref=chooser-v1"></a></p>
</html>