Created
July 3, 2018 10:40
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An HTML file to visualize the Recaman Sequence with an arbitrary upper bound, using Javascript
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<!DOCTYPE html> | |
<html> | |
<head> | |
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> | |
</head> | |
<body> | |
<canvas id="myCanvas" width="9000" height="1500" style="border:1px solid #d3d3d3;"> | |
Your browser does not support the HTML5 canvas tag.</canvas> | |
<div id="currentValue" style="font-size: 500px"> | |
0 | |
</div> | |
<script> | |
// The length in pixel of one unit | |
var unit = 10; | |
// The Y position of the number line | |
var lineY = 500; | |
// The upper limit of the generated Recaman sequence | |
var maximum = 3000; | |
// The speed of the drawing (miliseconds) | |
var speed = 1000; | |
var c = document.getElementById("myCanvas"); | |
var ctx = c.getContext("2d"); | |
var generateRecaman = function(limit){ | |
var arrayRecaman = [0]; | |
for(var i = 1 ; i < limit ; i++){ | |
var temp = arrayRecaman[i-1]; | |
if(temp - i > 0 && !arrayRecaman.includes(temp - i)) | |
arrayRecaman.push(temp - i); | |
else | |
arrayRecaman.push(temp + i); | |
} | |
return arrayRecaman; | |
} | |
var array = generateRecaman(maximum); | |
var drawNextArc = function(current,next){ | |
ctx.beginPath(); | |
if(current > next){ //backward | |
var sumPrevious = array.slice(0,i).reduce((a, b) => a + b, 0); | |
var centerX = ((next - current)/2) + array[i]; | |
var center = (centerX * unit) + unit; | |
ctx.arc(center,lineY,(current * unit - next * unit)/2,0,Math.PI,true); | |
} | |
else{ //forward | |
var centerX = ((next - current)/2) + current; | |
var center = (centerX * unit) + unit; | |
ctx.arc(center,lineY,(next * unit - current * unit)/2,Math.PI,0,true); | |
} | |
console.log(centerX); | |
ctx.stroke(); | |
} | |
var i = 0; | |
var interval = setInterval(function(){ | |
drawNextArc(array[i],array[i+1]); | |
document.getElementById("currentValue").innerHTML = i; | |
i++; | |
if(i > array.length){ | |
clearInterval(interval); | |
} | |
},speed); | |
</script> | |
</body> | |
</html> |
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