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Zoomable fractals in Javascript
Raw
README.md

Configurable fractals in Javascript.

Project

Demo (optimized for Google Chrome)

This project aims to represent all fractals in javascript. For now, it focuses on Escape-time fractals but don't hesitate to contribute in order to show more types of fractals.

WebGL is not used yet.

Credits

Based on syntagmatic zoomable Julia and DougX's Canvas Fractals.

Raw
D3 LICENSE
Copyright (c) 2013, Michael Bostock
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice, this
list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright notice,
this list of conditions and the following disclaimer in the documentation
and/or other materials provided with the distribution.
* The name Michael Bostock may not be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL MICHAEL BOSTOCK BE LIABLE FOR ANY DIRECT,
INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
Raw
D3 LICENSE
Copyright (c) 2013, Michael Bostock
All rights reserved.
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:
* Redistributions of source code must retain the above copyright notice, this
list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright notice,
this list of conditions and the following disclaimer in the documentation
and/or other materials provided with the distribution.
* The name Michael Bostock may not be used to endorse or promote products
derived from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
DISCLAIMED. IN NO EVENT SHALL MICHAEL BOSTOCK BE LIABLE FOR ANY DIRECT,
INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
Raw
d3.v3.min.js
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},n.y=function(t){return arguments.length?(c=t,f=hc[!o<<1|!c],n):c},n.extent=function(t){var e,r,u,a,l;return arguments.length?(i=[[0,0],[0,0]],o&&(e=t[0],r=t[1],c&&(e=e[0],r=r[0]),i[0][0]=e,i[1][0]=r,o.invert&&(e=o(e),r=o(r)),e>r&&(l=e,e=r,r=l),s[0][0]=0|e,s[1][0]=0|r),c&&(u=t[0],a=t[1],o&&(u=u[1],a=a[1]),i[0][1]=u,i[1][1]=a,c.invert&&(u=c(u),a=c(a)),u>a&&(l=u,u=a,a=l),s[0][1]=0|u,s[1][1]=0|a),n):(t=i||s,o&&(e=t[0][0],r=t[1][0],i||(e=s[0][0],r=s[1][0],o.invert&&(e=o.invert(e),r=o.invert(r)),e>r&&(l=e,e=r,r=l))),c&&(u=t[0][1],a=t[1][1],i||(u=s[0][1],a=s[1][1],c.invert&&(u=c.invert(u),a=c.invert(a)),u>a&&(l=u,u=a,a=l))),o&&c?[[e,u],[r,a]]:o?[e,r]:c&&[u,a])},n.clear=function(){return i=null,s[0][0]=s[0][1]=s[1][0]=s[1][1]=0,n},n.empty=function(){return o&&s[0][0]===s[1][0]||c&&s[0][1]===s[1][1]},ca.rebind(n,a,"on")};var sc={n:"ns-resize",e:"ew-resize",s:"ns-resize",w:"ew-resize",nw:"nwse-resize",ne:"nesw-resize",se:"nwse-resize",sw:"nesw-resize"},hc=[["n","e","s","w","nw","ne","se","sw"],["e","w"],["n","s"],[]];ca.time={};var gc=Date,pc=["Sunday","Monday","Tuesday","Wednesday","Thursday","Friday","Saturday"];Si.prototype={getDate:function(){return this._.getUTCDate()},getDay:function(){return this._.getUTCDay()},getFullYear:function(){return this._.getUTCFullYear()},getHours:function(){return this._.getUTCHours()},getMilliseconds:function(){return this._.getUTCMilliseconds()},getMinutes:function(){return this._.getUTCMinutes()},getMonth:function(){return this._.getUTCMonth()},getSeconds:function(){return this._.getUTCSeconds()},getTime:function(){return this._.getTime()},getTimezoneOffset:function(){return 0},valueOf:function(){return this._.valueOf()},setDate:function(){dc.setUTCDate.apply(this._,arguments)},setDay:function(){dc.setUTCDay.apply(this._,arguments)},setFullYear:function(){dc.setUTCFullYear.apply(this._,arguments)},setHours:function(){dc.setUTCHours.apply(this._,arguments)},setMilliseconds:function(){dc.setUTCMilliseconds.apply(this._,arguments)},setMinutes:function(){dc.setUTCMinutes.apply(this._,arguments)},setMonth:function(){dc.setUTCMonth.apply(this._,arguments)},setSeconds:function(){dc.setUTCSeconds.apply(this._,arguments)},setTime:function(){dc.setTime.apply(this._,arguments)}};var dc=Date.prototype,mc="%a %b %e %X %Y",vc="%m/%d/%Y",yc="%H:%M:%S",Mc=["Sunday","Monday","Tuesday","Wednesday","Thursday","Friday","Saturday"],xc=["Sun","Mon","Tue","Wed","Thu","Fri","Sat"],bc=["January","February","March","April","May","June","July","August","September","October","November","December"],_c=["Jan","Feb","Mar","Apr","May","Jun","Jul","Aug","Sep","Oct","Nov","Dec"];ca.time.year=Ei(function(n){return n=ca.time.day(n),n.setMonth(0,1),n},function(n,t){n.setFullYear(n.getFullYear()+t)},function(n){return n.getFullYear()}),ca.time.years=ca.time.year.range,ca.time.years.utc=ca.time.year.utc.range,ca.time.day=Ei(function(n){var t=new gc(1970,0);return t.setFullYear(n.getFullYear(),n.getMonth(),n.getDate()),t},function(n,t){n.setDate(n.getDate()+t)},function(n){return n.getDate()-1}),ca.time.days=ca.time.day.range,ca.time.days.utc=ca.time.day.utc.range,ca.time.dayOfYear=function(n){var t=ca.time.year(n);return Math.floor((n-t-(n.getTimezoneOffset()-t.getTimezoneOffset())*6e4)/864e5)},pc.forEach(function(n,t){n=n.toLowerCase(),t=7-t;var e=ca.time[n]=Ei(function(n){return(n=ca.time.day(n)).setDate(n.getDate()-(n.getDay()+t)%7),n},function(n,t){n.setDate(n.getDate()+Math.floor(t)*7)},function(n){var e=ca.time.year(n).getDay();return Math.floor((ca.time.dayOfYear(n)+(e+t)%7)/7)-(e!==t)});ca.time[n+"s"]=e.range,ca.time[n+"s"].utc=e.utc.range,ca.time[n+"OfYear"]=function(n){var e=ca.time.year(n).getDay();return Math.floor((ca.time.dayOfYear(n)+(e+t)%7)/7)}}),ca.time.week=ca.time.sunday,ca.time.weeks=ca.time.sunday.range,ca.time.weeks.utc=ca.time.sunday.utc.range,ca.time.weekOfYear=ca.time.sundayOfYear,ca.time.format=function(n){function t(t){for(var r,u,i,a=[],o=-1,c=0;++o<e;)n.charCodeAt(o)===37&&(a.push(n.substring(c,o)),(u=Nc[r=n.charAt(++o)])!=null&&(r=n.charAt(++o)),(i=Tc[r])&&(r=i(t,null==u?"e"===r?" ":"0":u)),a.push(r),c=o+1);return a.push(n.substring(c,o)),a.join("")}var e=n.length;return t.parse=function(t){var e={y:1900,m:0,d:1,H:0,M:0,S:0,L:0},r=Ai(e,n,t,0);if(r!=t.length)return null;"p"in e&&(e.H=e.H%12+e.p*12);var u=new gc;return u.setFullYear(e.y,e.m,e.d),u.setHours(e.H,e.M,e.S,e.L),u},t.toString=function(){return n},t};var wc=qi(Mc),Sc=qi(xc),Ec=qi(bc),kc=Ni(bc),Ac=qi(_c),qc=Ni(_c),Nc={"-":"",_:" ",0:"0"},Tc={a:function(n){return xc[n.getDay()]},A:function(n){return Mc[n.getDay()]},b:function(n){return _c[n.getMonth()]},B:function(n){return bc[n.getMonth()]},c:ca.time.format(mc),d:function(n,t){return Ti(n.getDate(),t,2)},e:function(n,t){return Ti(n.getDate(),t,2)},H:function(n,t){return Ti(n.getHours(),t,2)},I:function(n,t){return Ti(n.getHours()%12||12,t,2)},j:function(n,t){return Ti(1+ca.time.dayOfYear(n),t,3)},L:function(n,t){return Ti(n.getMilliseconds(),t,3)},m:function(n,t){return Ti(n.getMonth()+1,t,2)},M:function(n,t){return Ti(n.getMinutes(),t,2)},p:function(n){return n.getHours()>=12?"PM":"AM"},S:function(n,t){return Ti(n.getSeconds(),t,2)},U:function(n,t){return Ti(ca.time.sundayOfYear(n),t,2)},w:function(n){return n.getDay()},W:function(n,t){return Ti(ca.time.mondayOfYear(n),t,2)},x:ca.time.format(vc),X:ca.time.format(yc),y:function(n,t){return Ti(n.getFullYear()%100,t,2)},Y:function(n,t){return Ti(n.getFullYear()%1e4,t,4)},Z:$i,"%":function(){return"%"}},Cc={a:Ci,A:zi,b:Di,B:ji,c:Li,d:Ui,e:Ui,H:Ii,I:Ii,L:Zi,m:Yi,M:Vi,p:Bi,S:Xi,x:Fi,X:Hi,y:Ri,Y:Pi},zc=/^\s*\d+/,Dc=ca.map({am:0,pm:1});ca.time.format.utc=function(n){function t(n){try{gc=Si;var t=new gc;return t._=n,e(t)}finally{gc=Date}}var e=ca.time.format(n);return t.parse=function(n){try{gc=Si;var t=e.parse(n);return t&&t._}finally{gc=Date}},t.toString=e.toString,t};var jc=ca.time.format.utc("%Y-%m-%dT%H:%M:%S.%LZ");ca.time.format.iso=Date.prototype.toISOString&&+new Date("2000-01-01T00:00:00.000Z")?Ji:jc,Ji.parse=function(n){var t=new Date(n);return isNaN(t)?null:t},Ji.toString=jc.toString,ca.time.second=Ei(function(n){return new gc(Math.floor(n/1e3)*1e3)},function(n,t){n.setTime(n.getTime()+Math.floor(t)*1e3)},function(n){return n.getSeconds()}),ca.time.seconds=ca.time.second.range,ca.time.seconds.utc=ca.time.second.utc.range,ca.time.minute=Ei(function(n){return new gc(Math.floor(n/6e4)*6e4)},function(n,t){n.setTime(n.getTime()+Math.floor(t)*6e4)},function(n){return n.getMinutes()}),ca.time.minutes=ca.time.minute.range,ca.time.minutes.utc=ca.time.minute.utc.range,ca.time.hour=Ei(function(n){var t=n.getTimezoneOffset()/60;return new gc((Math.floor(n/36e5-t)+t)*36e5)},function(n,t){n.setTime(n.getTime()+Math.floor(t)*36e5)},function(n){return n.getHours()}),ca.time.hours=ca.time.hour.range,ca.time.hours.utc=ca.time.hour.utc.range,ca.time.month=Ei(function(n){return n=ca.time.day(n),n.setDate(1),n},function(n,t){n.setMonth(n.getMonth()+t)},function(n){return n.getMonth()}),ca.time.months=ca.time.month.range,ca.time.months.utc=ca.time.month.utc.range;var Lc=[1e3,5e3,15e3,3e4,6e4,3e5,9e5,18e5,36e5,108e5,216e5,432e5,864e5,1728e5,6048e5,2592e6,7776e6,31536e6],Fc=[[ca.time.second,1],[ca.time.second,5],[ca.time.second,15],[ca.time.second,30],[ca.time.minute,1],[ca.time.minute,5],[ca.time.minute,15],[ca.time.minute,30],[ca.time.hour,1],[ca.time.hour,3],[ca.time.hour,6],[ca.time.hour,12],[ca.time.day,1],[ca.time.day,2],[ca.time.week,1],[ca.time.month,1],[ca.time.month,3],[ca.time.year,1]],Hc=[[ca.time.format("%Y"),jt],[ca.time.format("%B"),function(n){return n.getMonth()}],[ca.time.format("%b %d"),function(n){return n.getDate()!=1}],[ca.time.format("%a %d"),function(n){return n.getDay()&&n.getDate()!=1}],[ca.time.format("%I %p"),function(n){return n.getHours()}],[ca.time.format("%I:%M"),function(n){return n.getMinutes()}],[ca.time.format(":%S"),function(n){return n.getSeconds()}],[ca.time.format(".%L"),function(n){return n.getMilliseconds()}]],Pc=ca.scale.linear(),Rc=Qi(Hc);Fc.year=function(n,t){return Pc.domain(n.map(ta)).ticks(t).map(na)},ca.time.scale=function(){return Gi(ca.scale.linear(),Fc,Rc)};var Oc=Fc.map(function(n){return[n[0].utc,n[1]]}),Yc=[[ca.time.format.utc("%Y"),jt],[ca.time.format.utc("%B"),function(n){return n.getUTCMonth()}],[ca.time.format.utc("%b %d"),function(n){return n.getUTCDate()!=1}],[ca.time.format.utc("%a %d"),function(n){return n.getUTCDay()&&n.getUTCDate()!=1}],[ca.time.format.utc("%I %p"),function(n){return n.getUTCHours()}],[ca.time.format.utc("%I:%M"),function(n){return n.getUTCMinutes()}],[ca.time.format.utc(":%S"),function(n){return n.getUTCSeconds()}],[ca.time.format.utc(".%L"),function(n){return n.getUTCMilliseconds()}]],Uc=Qi(Yc);return Oc.year=function(n,t){return Pc.domain(n.map(ra)).ticks(t).map(ea)},ca.time.scale.utc=function(){return Gi(ca.scale.linear(),Oc,Uc)},ca.text=function(){return ca.xhr.apply(ca,arguments).response(ua)},ca.json=function(n,t){return ca.xhr(n,"application/json",t).response(ia)},ca.html=function(n,t){return ca.xhr(n,"text/html",t).response(aa)},ca.xml=function(){return ca.xhr.apply(ca,arguments).response(oa)},ca}();
Raw
fractal.js
function fractal(x_extent, y_extent) {
var jul = {};
var _methods = {
mandelbrot: {id: "m", name: "Mandelbrot", iterFunc: function(jul, real,imag){return mandelbrotIterate(jul, real, imag, 2)}},
mandelbrot3: {id: "m3", name: "Mandelbrot z^3", iterFunc: function(jul, real,imag){return mandelbrotIterate(jul, real, imag,3)}},
mandelbrot4: {id: "m4", name: "Mandelbrot z^4", iterFunc: function(jul, real,imag){return mandelbrotIterate(jul, real, imag,4)}},
mandelbrot8: {id: "m8", name: "Mandelbrot z^8", iterFunc: function(jul, real,imag){return mandelbrotIterate(jul, real, imag,8)}},
tricorn: {id: "t", name: "Tricorn", iterFunc: tricornIterate},
burningShip: {id: "bs", name: "Burning ship", iterFunc: burningShipIterate},
julia: {id: "j", name: "Julia", iterFunc: function(jul, real,imag){return juliaIterate(jul, real, imag, 2)}, initParams: function(){__.CR=-0.8; __.CI= .156;}},
julia3: {id: "j3", name: "Julia z^3", iterFunc: function(jul, real,imag){return juliaIterate(jul, real, imag, 3)}, initParams: function(){__.CR=-0.8; __.CI= .156;}},
dentrite: {id: "d", name: "Dentrite", iterFunc: function(jul, real,imag){return juliaIterate(jul, real, imag, 2)}, initParams: function(){__.CR=0; __.CI= 1;}},
siegelDisk: {id: "sd", name: "Siegel Disk", iterFunc: function(jul, real,imag){return juliaIterate(jul, real, imag, 2)}, initParams: function(){__.CR=-0.390541; __.CI= -0.586788;}},
douadysRabbit: {id: "dr", name: "Douady's Rabbit", iterFunc: function(jul, real,imag){return juliaIterate(jul, real, imag, 2)}, initParams: function(){__.CR=-0.123; __.CI= -0.745;}},
sanMarco: {id: "sm", name: "San Marco", iterFunc: function(jul, real,imag){return juliaIterate(jul, real, imag, 2)}, initParams: function(){__.CR=-3/4; __.CI= 0;}},
juliaCos: {id: "jcos", name: "Julia cos(z)+c", iterFunc: juliaCosIterate},
//barnleys: {id: "bt", name: "Barnleys Tree", iterFunc: function(jul, real,imag){return barnsleysIterate(jul, real, imag)}, initParams: function(){__.CR=0.6; __.CI= 1.1; __.maxIter=50;}},
newton: {id: "n", name: "Newton", iterFunc: null }
}
var _menuItems = {
mandelbrotItems: {
name:"Mandelbrot",
id:"mandelbrotMenu",
main:_methods.mandelbrot,
others:[_methods.mandelbrot3, _methods.mandelbrot4, _methods.mandelbrot8, _methods.tricorn, _methods.burningShip]
},
juliaItems: {
name:"Julia",
id:"JuliaMenu",
main: _methods.julia,
others: [_methods.julia3, _methods.dentrite, _methods.siegelDisk, _methods.douadysRabbit, _methods.sanMarco]
},
/*BarnleysItems:{
name:"Barnleys Tree",
id:"BarnleysMenu",
main:_methods.barnleys,
others: []
},*/
NewtonItems:{
name:"Newton",
id:"NewtonMenu",
main:_methods.newton,
others: []
}
}
var __ = {
method: _methods.mandelbrot,
realMin: -1.7,
realMax: 1.7,
imagMin: -1,
imagMax: 1,
maxIter: 1000,
minResolution: 40,
CR: -.8,
CI: .156,
newtonThresh: 0.000001,
newtonContrast: 50
};
var events = d3.dispatch.apply(this, ["done"].concat(d3.keys(__)));
jul.color = d3.scale.sqrt()
.domain([0, __.maxIter])
.range(["white", "black"])
.interpolate(d3.interpolateLab);
jul.__ = __;
jul._menuItems = _menuItems
getset(jul, __, events);
d3.rebind(jul, events, "on");
var ctx;
var _x = 0;
var _y = 0;
var resolution = __.minResolution;
var done = false;
jul.zoom = function(reals,imags) {
done = true;
__.realMin = reals[0];
__.realMax = reals[1];
__.imagMin = imags[0];
__.imagMax = imags[1];
jul.resetForRender();
}
jul.changeMethod = function(method, reals, imags) {
__.method = method
done = true;
__.realMin = reals[0];
__.realMax = reals[1];
__.imagMin = imags[0];
__.imagMax = imags[1];
if(method.initParams != null ){
method.initParams();
}
jul.resetForRender();
}
jul.changeColor = function(color){
jul.color = color;
jul.resetForRender();
}
jul.iterate = function(real,imag) {
return __.method.iterFunc(jul, real, imag)
}
jul.go = function(){
resolution = __.minResolution
d3.timer(jul.render)
}
jul.render = function(){
if(done){return true}
if(resolution>3) jul.boxes()
else return jul.renderAux()
}
jul.renderAux = function() {
var realSpan = __.realMax - __.realMin;
var imagSpan = __.imagMax - __.imagMin;
var realMin = __.realMin;
var imagMin = __.imagMin;
var fast_color = _.memoize(jul.color);
var ll = _x + 6; // how many columns to render at once
for ( ; _x < ll; ++_x) {
for ( _y = 0; _y < y_extent; ++_y) {
var fx = _x / x_extent;
var fy = _y / y_extent;
var real = fx * realSpan + realMin;
var imag = fy * imagSpan + imagMin;
if(__.method == _methods.newton){
var color = newtonColor(jul, real,imag);
ctx.fillStyle = color;
ctx.fillRect(_x,_y,1,1);
}else {
iterations = jul.iterate(real,imag);
ctx.fillStyle = fast_color(iterations);
ctx.fillRect(_x,_y,1,1);
}
}
}
return done || _x>=x_extent
}
jul.boxes = function() {
var realSpan = __.realMax - __.realMin;
var imagSpan = __.imagMax - __.imagMin;
var fast_color = _.memoize(jul.color);
for ( _x = 0; _x < x_extent; _x += resolution) {
for ( _y = 0; _y < y_extent; _y += resolution) {
var fx = (_x + resolution/2) / x_extent;
var fy = (_y + resolution/2) / y_extent;
var real = fx * realSpan + __.realMin;
var imag = fy * imagSpan + __.imagMin;
if(__.method == _methods.newton){
var color = newtonColor(jul, real,imag);
ctx.fillStyle = color;
ctx.fillRect(_x,_y,resolution,resolution);
}else {
var iterations = jul.iterate(real,imag);
ctx.fillStyle = fast_color(iterations);
ctx.fillRect(_x,_y,resolution,resolution);
}
}
}
resolution -=3;
_x =0;
}
jul.resetForRender = function() {
_x = 0;
_y = 0;
resolution = __.minResolution;
done = false;
jul.go();
}
jul.context = function(_) {
if (!arguments.length) return ctx;
ctx = _;
return this;
};
jul.x_extent = function(_) {
if (!arguments.length) return x_extent;
x_extent = _;
jul.resetForRender();
return this;
};
jul.y_extent = function(_) {
if (!arguments.length) return y_extent;
y_extent = _;
jul.resetForRender();
return this;
};
// getter/setter with event firing
function getset(obj,state) {
d3.keys(state).forEach(function(key) {
obj[key] = function(x) {
if (!arguments.length) return state[key];
var old = state[key];
state[key] = typeof (x - 0) == "number" ? x - 0 : x;
events[key].call(jul,{"value": state[key], "previous": old});
obj.resetForRender();
return obj;
};
});
};
return jul;
}
Raw
index.html
<head>
<link href="style.css" rel="stylesheet">
<script src="lib/d3.v3.min.js" type="text/javascript" charset="utf-8"></script>
<script src="lib/underscore-min.js"></script>
<script src="fractal.js"></script>
<script src="methods.js"></script>
<style>
body{background:white;}
</style>
</head>
<body>
<canvas id="theCanvas" width="803" height="400"></canvas>
<canvas id="interactionCanvas" width="803" height="400"></canvas>
<div id="zoom">
<div class="container" id="zoom-method">
<div class="button">Fractal type</div>
<div id="methods" class="tools"> </div>
</div>
<div class="container" id="zoom-gear">
<div class="button">Parameters</div>
<div id="tools" class="tools"> </div>
</div>
<div class="container" id="zoom-color">
<div class="button">Color scheme</div>
<div id="colors" class="tools">
<span class="choice active" id="deep" onclick="changeColor(deep)">Deep</span><br/>
<span class="choice" id="mixed" onclick="changeColor(mixed)">Mixed</span><br/>
<span class="choice" id="bw" onclick="changeColor(bw)">Black/White</span><br/>
<span class="choice" id="greenBlack" onclick="changeColor(greenBlack)">Green/Black</span>
</div>
</div>
<div class="container" id="zoom-reset">
<div class="button" onclick="resetZoom()">Reset Zoom </div>
</div>
<div class="container" id="about" style="float:right;">
<div class="button">About</div>
<div id="text" class="tools" style="width:300px; float: right">
<p>This project aims to represent all fractals in Javascript</p>
<p>If you want to contribute and add features, join on <a href="https://github.com/ChrisJamesC/javascriptFractals">github</a>.</p>
<p>Author: Christopher Chiche (<a href="www.christopherchiche.com">website</a>)</p>
</div>
</div>
</div>
<script src="navigation.js"></script>
</body>
Raw
methods.js
/* Julia Set */
juliaIterate = function(jul, real,imag, power){
var iterations = 0;
var zr = real;
var zi = imag;
var zr_next, zi_next, z_pow;
while (true) {
iterations++;
if ( iterations > jul.__.maxIter ) return 0;
z_pow = intPower(zr, zi, power)
zr_next = z_pow[0] + jul.__.CR;
zi_next = z_pow[1] + jul.__.CI;
zr = zr_next;
zi = zi_next;
if ( zr > 4 ) return iterations;
if ( zi > 4 ) return iterations;
}
return iterations;
}
/* Julia Cos/Sin set TODO:fix method in order to make it work */
var cosh = function(x){
return (Math.pow(Math.E, x) + Math.pow(Math.E, -x)) / 2;
};
var sinh = function(x){
return (Math.pow(Math.E, x) - Math.pow(Math.E, -x)) / 2;
};
juliaCosIterate = function(jul, real,imag){
var iterations = 0;
var zr = real;
var zi = imag;
var zr_next, zi_next, z_pow;
while (true) {
iterations++;
if ( iterations > jul.__.maxIter ) return 0;
//z_pow = intPower(zr, zi, power)
zr_next = Math.sin(real) * cosh(imag) + jul.__.CR;
zi_next = Math.cos(real) * sinh(imag) + jul.__.CI;
zr = zr_next;
zi = zi_next;
if ( Math.abs(zr) > 4 ) return iterations;
if ( Math.abs(zi) > 4 ) return iterations;
}
return iterations;
}
/* Barnsleys tree TODO Fix method*/
barnsleysIterate = function(jul, real,imag){
var iterations = 0;
var zr = real;
var zi = imag;
var zr_next, zi_next, z_pow;
while (true) {
iterations++;
if ( iterations > jul.__.maxIter ) return 0;
zr_next = jul.__.CR*(zr - zr/Math.abs(zr))- jul.__.CI*zi;
zi_next = jul.__.CI*(zr - zr/Math.abs(zr))- jul.__.CR*zi;
zr = zr_next;
zi = zi_next;
if ( zr^2 + zi^2 > 4 ) return iterations;
}
return iterations;
}
/* Mandelbrot Set */
mandelbrotIterate = function(jul, real, imag, power){
//var power= 2
var iterations = 0;
var zr = 0;
var zi = 0;
var zr_next, zi_next, z_pow;
while (true) {
iterations++;
if ( iterations > jul.__.maxIter ) return 0;
z_pow = intPower(zr, zi, power);
zr_next = z_pow[0] + real;
zi_next = z_pow[1] +imag;
zr = zr_next;
zi = zi_next;
if ( zr > 4 ) return iterations;
if ( zi > 4 ) return iterations;
}
return iterations;
}
/* Tricorn Set */
tricornIterate = function(jul, real, imag){
//var power= 2
var iterations = 0;
var zr = 0;
var zi = 0;
var zr_next, zi_next, z_pow;
while (true) {
iterations++;
if ( iterations > jul.__.maxIter ) return 0;
z_pow = intPower(zr, -zi, 2)
zr_next = z_pow[0] + real;
zi_next = z_pow[1] +imag;
zr = zr_next;
zi = zi_next;
if ( zr > 4 ) return iterations;
if ( zi > 4 ) return iterations;
}
return iterations;
}
/* Burning ship Set */
burningShipIterate = function(jul, real, imag){
//var power= 2
var iterations = 0;
var zr = 0;
var zi = 0;
var zr_next, zi_next, z_pow;
while (true) {
iterations++;
if ( iterations > jul.__.maxIter ) return 0;
z_pow = intPower(Math.abs(zr), Math.abs(zi), 2)
zr_next = z_pow[0] + real;
zi_next = z_pow[1] +imag;
zr = zr_next;
zi = zi_next;
if ( zr > 4 ) return iterations;
if ( zi > 4 ) return iterations;
}
return iterations;
}
/* Newton fractals */
newtonColor = function(jul, x,y)
{
var iterations = 0;
var thresh = jul.__.newtonThresh;
while(true)
{
iterations++;
var x2 = x*x;
var x3 = x2*x;
var x4 = x3*x;
var x6 = x3*x3;
var y2 = y*y;
var y4 = y2*y2;
var y6 = y2*y4;
var denom = 4*Math.pow((x2 + y2),3);
var rtemp = x*(3*y2+y6+x6 +3*x4*y2-x2 +3*x2*y4);
rtemp /= denom;
var itemp = y*(3*x2+y6 +3*x2*y4-y2 +x6 + 3*x4*y2);
itemp /= denom;
x = x - rtemp;
y = y - itemp;
//
// for the equation being solved, f(Z)=Z^4-1, the iteration will converge
// on one of four roots (-1,1,-i,i) The tighter we make the threshold
// around the roots the cleaner the picture will be
//
// each root gets its own color, and the starting point is colored with
// the color of the root it ends up converging on.
//
if ( x > 1-thresh && x < 1 + thresh )
return makeColorString(jul, 255,0,0,iterations);
if ( x < -1+thresh && x > -1-thresh )
return makeColorString(jul,0,255,0,iterations);
if ( y > 1-thresh && y < 1+thresh )
return makeColorString(jul,0,0,255,iterations);
if ( y < -1+thresh && y > -1-thresh )
return makeColorString(jul,255,255,0,iterations);
if ( iterations >= jul.__.maxIter )
return "rgb(0,0,0)";
}
}
makeColorString = function(jul, r,g,b,i)
{
//console.log(i)
i /= jul.__.maxIter-20;
i*=255;
i *= jul.__.newtonContrast;
i = Math.floor(i);
//i -= this.myRefine*50;
if ( i > 255 ) i = 255;
if ( i < 0 ) i = 0;
if(r>0) r-= i;
if(g>0) g-= i;
if(b>0) b-= i;
var str = "rgb(" + r + "," + g + "," + b + ")";
return str;
}
/* Utility to compute power of complex number
* Support for n = 0,1,2,3,4,6
*/
intPower = function(real, imag, n){
//if(n ==null) return
if(n==0) return [1,0];
if(n==1) return [real, imag];
var z2 = multiply(real, imag, real, imag);
if(n==2) return z2;
var z3 = multiply(real, imag, z2[0], z2[1]);
if(n==3) return z3;
var z4 = multiply(z2[0], z2[1], z2[0], z2[1]);
if(n==4) return z4;
var z8 = multiply(z4[0], z4[1], z4[0], z4[1]);
if(n==8) return z8;
return z2
}
multiply = function(r1, i1, r2, i2) {
return [r1*r2 - i1*i2, r1*i2 + i1*r2]
}
Raw
navigation.js
var width = document.body.clientWidth;
var height = document.body.clientHeight;
var canvas = document.getElementById('theCanvas');
var interaction_canvas = document.getElementById('interactionCanvas');
var param_names = {
realMin: "Minimum X",
realMax: "Maximum X",
imagMin: "Minimum Y",
imagMax: "Maximum Y",
maxIter: "Maximal Iterations",
minResolution: "Minimal Resolution",
CR: "C (Real part)",
CI: "C (Imaginary part)",
newtonThresh: "Threshold",
newtonContrast: "Constrast"
}
/* Scaling */
var real_scale = d3.scale.linear()
.range([0, width])
.domain([-1.7,1.7]);
var imag_scale = d3.scale.linear()
.range([0, height])
.domain([-1,1]);
d3.selectAll("canvas")
.attr("width", width)
.attr("height", height);
var ctx = canvas.getContext('2d');
jul = fractal(width,height)
.context(ctx)
.minResolution(21);
/* Colors */
var bw = d3.scale.sqrt()
.domain([0, jul.__.maxIter])
.range(["white", "black"])
.interpolate(d3.interpolateLab);
var mixed = d3.scale.linear()
.domain([0, 12, 30, 50, 100, 180, 260, 380, 600, 800, 1200, 1600, 3200])
.range(["moccasin", "#999", "steelblue", "yellow", "brown", "#222", "pink", "purple", "#027", "#260", "orange", "yellow", "blue"])
.interpolate(d3.interpolateHcl);
var greenBlack = d3.scale.sqrt()
.domain([0, jul.__.maxIter])
.range(["black", "green"])
.interpolate(d3.interpolateLab);
var deep = d3.scale.linear()
.domain(d3.range(0,jul.__.maxIter,20))
.range(d3.range(0,100).map(function(i) { return d3.hcl(190+120*i, 40+35*Math.round(Math.cos(i/5)), 18+6*(i%10)).toString(); }))
.interpolate(d3.interpolateLab);
var zoom = d3.behavior.zoom()
.x(real_scale)
.y(imag_scale)
.on("zoom", onzoom)
function onzoom() {
d3.select("#input-realMin").attr("value", real_scale.domain()[0]);
d3.select("#input-imagMin").attr("value", imag_scale.domain()[0]);
d3.select("#input-realMax").attr("value", real_scale.domain()[1]);
d3.select("#input-imagMax").attr("value", imag_scale.domain()[1]);
jul.zoom(real_scale.domain(), imag_scale.domain());
};
function resetZoom() {
real_scale.domain([-1.7,1.7]);
imag_scale.domain([-1,1]);
zoom.scale(1)
.translate([0,0])
.x(real_scale)
.y(imag_scale);
onzoom();
}
function changeMethod(method){
real_scale.domain([-1.7,1.7]);
imag_scale.domain([-1,1]);
zoom.scale(1)
.translate([0,0])
.x(real_scale)
.y(imag_scale);
d3.select("#input-realMin").attr("value", real_scale.domain()[0]);
d3.select("#input-imagMin").attr("value", imag_scale.domain()[0]);
d3.select("#input-realMax").attr("value", real_scale.domain()[1]);
d3.select("#input-imagMax").attr("value", imag_scale.domain()[1]);
jul.changeMethod(method, real_scale.domain(), imag_scale.domain());
updateKeys(method);
activate(method)
}
function activate(method){
d3.selectAll(".subchoice").classed("active", false)
d3.selectAll(".choice").classed("active", false)
d3.select("#"+method.id).classed("active", true)
}
function updateMethods() {
d3.select("#methods").html("")
d3.keys(jul._menuItems).
forEach(function(menuItem) {
var menu = jul._menuItems[menuItem]
d3.select("#methods")
.append("span")
.attr("id", menu.main.id)
.attr("class", "choice")
.html(menu.name+"<br/>")
.on("click", function(){changeMethod(menu.main)})
menu.others.forEach(function(item){
d3.select("#methods")
.append("span")
.attr("id", item.id)
.attr("class", "subchoice")
.html(item.name+"<br/>")
.on("click", function(){changeMethod(item)})
})
});
}
function changeColor(color){
jul.changeColor(color)
d3.select("#mixed").classed("active", color==mixed);
d3.select("#deep").classed("active", color==deep);
d3.select("#bw").classed("active", color==bw);
d3.select("#greenBlack").classed("active", color==greenBlack);
}
// bind inputs to julia parameters
function updateKeys(method) {
d3.select("#tools").html('')
d3.keys(jul.__).filter(
function(key){
var specificFilterJ = (method.id == 'j' || method.id=='j3') | ((key != "CR") & (key != "CI"));
var specificFilterN = method.id== 'n' | ((key != "newtonThresh") & (key != "newtonContrast"));
var generalFilter = (key!= "method");
return specificFilterJ & specificFilterN & generalFilter;
}).
forEach(function(key) {
d3.select("#tools")
.append("div")
.html(param_names[key] + "<br/>")
.append("input")
.attr({
id: "input-" + key,
type: "text",
value: jul[key]()
})
.on("keyup", function() {
jul[key](this.value);
});
});
}
jul.color = deep;
updateKeys(jul.__.method);
updateMethods()
activate(jul.__.method)
jul.go();
d3.select(interaction_canvas)
.call(zoom);
window.onresize = function() {
width = document.body.clientWidth;
height = document.body.clientHeight;
real_scale.range([0, width]);
imag_scale.range([0, height]);
jul.x_extent(width)
.y_extent(height);
d3.selectAll("canvas")
.attr("width", width)
.attr("height", height);
resetZoom()
}
Raw
style.css
html, body {
padding: 0;
margin: 0;
}
body {
background:#000;
color:white;
font-family: Arial,Helvetica,Sans-serif;
font-size: 12px;
}
a:hover {
text-decoration: none;
}
a {
text-decoration: underline;
color: inherit;
}
canvas {
position: absolute;
cursor: move;
}
#zoom {
position: absolute;
top: 12px;
left: 12px;
right: 12px;
font-size: 12px;
line-height: 24px;
font-weight: normal;
font-family: sans-serif;
text-align: center;
}
#zoom .container{
float:left;
width:120px;
margin-right: 4px;
font-color: white;
width:120px;
}
#zoom .button{
border-radius: 4px;
background-color: rgba(0,0,0,0.3);
font-size: 16px;
padding: 2px;
cursor: default;
}
#zoom .container:hover .button{
background-color: rgba(0,0,0,0.6);
}
#zoom .container:hover .tools {
display: block;
}
#zoom .tools {
display: none;
text-align: left;
color: #eee;
top: 48px;
left: 12px;
line-height: 18px;
padding: 6px;
z-index: 10;
background-color: rgba(0,0,0,0.6);
border-radius: 4px;
margin-top: 2px;
}
#zoom .tools input[type=text] {
color: #fff;
font-weight: bold;
width: 108px;
/*margin: 0 0 4px 0; */
padding: 4px 5px;
background: rgba(0,0,0,0.1);
border: none;
}
.choice {
cursor: pointer;
}
.choice.active {
font-weight: bold;
}
.subchoice {
cursor: pointer;
margin-left: 10px;
}
.subchoice.active {
font-weight: bold;
}
#methods {
/*height: 52px;*/
}
#colors {
height: 70px;
}
#currentMethod{
color: #eee;
position: fixed;
top: 12px;
right: 12px;
line-height: 18px;
padding: 6px 8px 6px 8px;
z-index: 10;
background: rgba(0,0,0,0.6);
/*height: 20px;*/
border-radius: 4px;
}
Raw
UNDERSCORE LICENSE.txt
Copyright (c) 2009-2013 Jeremy Ashkenas, DocumentCloud
Permission is hereby granted, free of charge, to any person
obtaining a copy of this software and associated documentation
files (the "Software"), to deal in the Software without
restriction, including without limitation the rights to use,
copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the
Software is furnished to do so, subject to the following
conditions:
The above copyright notice and this permission notice shall be
included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
OTHER DEALINGS IN THE SOFTWARE.
Raw
UNDERSCORE LICENSE.txt
Copyright (c) 2009-2013 Jeremy Ashkenas, DocumentCloud
Permission is hereby granted, free of charge, to any person
obtaining a copy of this software and associated documentation
files (the "Software"), to deal in the Software without
restriction, including without limitation the rights to use,
copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the
Software is furnished to do so, subject to the following
conditions:
The above copyright notice and this permission notice shall be
included in all copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
OTHER DEALINGS IN THE SOFTWARE.
Raw
underscore-min.js
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