if(c.length==2) return function(t){return [c[0][0]+t*(c[1][0]-c[0][0]),c[0][1]+t*(c[1][1]-c[0][1])]}
else return function(t){return Bezier([Bezier(c.slice(0,-1))(t),Bezier(c.slice(1))(t)])(t)}
return function(t){return Bezier([f1(t),f2(t)])(t)}
var settings = {'guide':{'show':[true,true,true,true], 'color':['#EEEEEE','#00FF00','#0000FF','#FF00FF'], 'width':[10,1,1,1]}, 'curve':{'show':[false,false,false,false], 'color':['#EEEEEE','#00FF00','#0000FF','#FF00FF'], 'width':[10,3,3,3]}, 'main':{'show':true, 'color':'#FF0000', 'width':10}, 'sample': 100, 'steps':100, 'stepTime':10, 'mode':'Bezier', 'coords':[[0,500],[125,450],[125,0],[500,0]]}
window.addEventListener('load',function(){
c = $('c').getContext('2d')
if(k.constructor == Array) k.forEach(function(e){t = t[e]})
return t.length>i ? t[i] : t.slice(-1)[0]
c.strokeStyle = settings.curve.color[0]
c.lineWidth = settings.guide.width[0]
c.moveTo.apply(c,coords[0])
coords.slice(1).forEach(function(e){c.lineTo.apply(c,e)})
c.forEach(function(e){t.push([e[0]+5,e[1]+5])})
function drawBezier(coords,t){
c.strokeStyle = settings.main.color
c.lineWidth = settings.main.width
c.moveTo.apply(c,coords[0])
for(var i=0;i<=t*settings.sample;i++) c.lineTo.apply(c,Bezier(coords)(i/settings.sample))
function animateBezier(coords){
var cur = ($('t').value==1 ? ($('t').value=$('T').innerHTML=(0).toFixed(3))*1 : $('t').value*s)+1
var b = drawBezier(coords,$('t').value*1)
itv = setInterval(function(){
$("T").innerHTML = ($("t").value = cur/s).toFixed(3)
drawBezier(coords,cur++/s,b)
if(cur>s) clearInterval(itv)
function drawBezier2(coords,t){
c.strokeStyle = get(['curve','color'],coords.length-1)
c.lineWidth = get(['curve','width'],coords.length-1)
c.moveTo.apply(c,coords[0])
for(var i=0;i<=t*100;i++) c.lineTo.apply(c,Bezier(coords)(i/100))
function drawConstruction(coords,t,B){
if(t===undefined) t = 0.5
var b = B===undefined ? [[]] : B
coords.forEach(function(e){b[0].push(function(t){return e})})
for(var i=1;i<coords.length;i++){
if(B===undefined) b.push([])
for(var j=0;j<coords.length-i;j++){
if(B===undefined) b[i].push(Bezier2(b[i-1][j],b[i-1][j+1]))
if(i!=coords.length-1 && get(['curve','show'],i-1) || i==coords.length-1 && settings.main.show){
strokeStyle = i==coords.length-1?settings.main.color:get(['curve','color'],i-1)
lineWidth = i==coords.length-1?settings.main.width:get(['curve','width'],i-1)
moveTo.apply(c,b[i][j](0))
for(var k=0;k<=t*settings.sample;k++) lineTo.apply(c,b[i][j](k/settings.sample))
if(i && i!=coords.length-1 && get(['guide','show'],i)){
strokeStyle = i==coords.length-1?settings.main.color:get(['guide','color'],i)
lineWidth = i==coords.length-1?settings.main.width:get(['guide','width'],i)
if(i!=coords.length-1) arc.apply(c,b[i][j](t).concat([settings.curve.width[0]/2,0,2*Math.PI]))
if(i && i!=coords.length-1 && get(['guide','show'],i)){
moveTo.apply(c,b[i][0](t))
for(var j=1;j<coords.length-i;j++) lineTo.apply(c,b[i][j](t))
function animateConstruction(coords){
var cur = ($('t').value==1 ? ($('t').value=$('T').innerHTML=(0).toFixed(3))*1 : $('t').value*s)+1
var b = drawConstruction(coords,$('t').value*1)
itv = setInterval(function(){
$("T").innerHTML = ($("t").value = cur/s).toFixed(3)
drawConstruction(coords,cur++/s,b)
if(cur>s) clearInterval(itv)
function draw(coords,t){clearInterval(itv); return window['draw'+settings.mode](coords,t)}
function animate(coords){clearInterval(itv); return window['animate'+settings.mode](coords);}
function $(id){return document.getElementById(id)}
var k = (p||[]).concat([i]).join('-')
if((t = o[i].constructor) == Object || t == Array) v(o[i],[k])
if(t.type=='checkbox') t.checked = o[i]
else if(t.type=='radio'){
for(var j=0, t=document.getElementsByName(t.name); j<t.length; j++) if(t[j].value == o[i]){
}else if(t = $((i==0?'x':'y') + p[0].slice(-1))) t.value = o[i]
window.addEventListener('load',function(){
$('t').setAttribute('step',1/settings.steps)
var t = document.getElementsByTagName('input')
for(i=0;i<t.length;i++) t[i].addEventListener('change',function(){
if((t=this.id.split('-')).length > 1){
T.forEach(function(e){t += '[' + (isNaN(e)?'"'+e+'"':e) +']'})
eval(t + '=' + (this.type=='text'?this.value:(this.type=='checkbox'?this.checked:'"'+this.value+'"')))
$(T.join('-')).value = this.value
if(t[0]=='curve' && t[1]=='color' && $('u').checked==true) t1.call(this,['guide'].concat(t.slice(1)))
}else if(this.id == 'u'){
for(i=0;t=$('guide-color-'+i);i++){
t.disabled = this.checked
t.value = settings.guide.color[i] = this.checked?settings.curve.color[i]:t.value
}else if(this.id == 't'){
$('T').innerHTML = (this.value*1).toFixed(3)
draw(settings.coords,this.value*1)
}else if(t = /([xy])(\d+)/.exec(this.id)) settings.coords[t[2]*1][t[1]=='x'?0:1] = this.value*1
else settings[this.id] = this.value
if(this.id == 'steps') $("t").setAttribute("step",1/settings.steps)
$('moreGo').addEventListener('click',function(){
var t = $('more').value.split(';').map(function(e){return e.split(',').map(function(f){return f*1;});});