最近我学到了一些奇怪的吸引子,我在JS中创建了以下程序:
var ctx, clock, width, height, pixSize;
var x,y,a,b,c,d;
window.onload = function(){
start();
};
function start(random=true){
window.cancelAnimationFrame(clock);
if(random){
a = 6*Math.random()-3;
b = 6*Math.random()-3;
c = 2*Math.random()-0.5;
d = 2*Math.random()-0.5;
}
canvasSetup();
clearCanvas();
x = Math.random()-Math.random();
y = Math.random()-Math.random();
clock = requestAnimationFrame(main);
}
function save(){
var text = JSON.stringify({
a:a,
b:b,
c:c,
d:d
});
window.prompt("Copy to clipboard: Ctrl+C", text);
}
function load(){
var input = JSON.parse(window.prompt("Import Save:"));
a = input.a;
b = input.b;
c = input.c;
d = input.d;
start(false);
}
function canvasSetup(){
canvas = document.getElementById('canvas');
width = window.innerWidth-5;
height = window.innerHeight-5;
canvas.width = width;
canvas.height = height;
ctx = canvas.getContext('2d');
var min = Math.min(width,height);
var scale = min/4;
ctx.translate(width/2, height/2);
ctx.scale(scale, scale);
pixSize = 1/scale/2;
ctx.globalCompositeOperation = "lighter";
}
function clearCanvas(){
ctx.save();
ctx.setTransform(1, 0, 0, 1, 0, 0);
ctx.clearRect(0,0,width,height);
ctx.restore();
}
function main(){
for(var i=0;i<10000;i++){
var xnew = Math.sin(y*b)+c*Math.sin(x*b);
var ynew = Math.sin(x*a)+d*Math.sin(y*a);
x = xnew;
y = ynew;
plot(x,y,"rgb(50,5,1)");
}
clock = requestAnimationFrame(main);
}
function plot(x,y,color="white"){
ctx.fillStyle = color;
ctx.fillRect(x,-y,pixSize,pixSize);
}
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body {
background-color: black;
color: white;
font-family: Consolas;
font-size: 13px;
margin: 0;
padding: 0;
}
#buttons{
position: absolute;
top: 0;
left: 0;
}
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<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<title>Strange Attractor</title>
<link rel="stylesheet" href="style.css">
<script src="rules.js"></script>
<script src="script.js"></script>
</head>
<body>
<div align="center">
<canvas id="canvas"></canvas>
</div>
<div id="buttons">
<button onclick="start()">New Attractor</button><br>
<button onclick="save()">Save</button><br>
<button onclick="load()">Load</button>
</div>
</body>
</html>
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它采用4个随机参数(a,b,c,d)并使用公式
var xnew = Math.sin(y*b)+c*Math.sin(x*b);
var ynew = Math.sin(x*a)+d*Math.sin(y*a);
x = xnew;
y = ynew;
但在其他情况下,我只获得一条线或几条点。有没有一种简单的方法来查看参数并找出它们,如果它们创建的吸引器会很奇怪?
我知道,我可以保存一堆价值,相互比较并以这种方式进行测试,如果图片可能有趣,但我喜欢不同的解决方案......
我希望你能帮忙:)。
编辑: 要查看特定值,您只需使用上面js草图中的保存和加载按钮...