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fractales.js
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fractales.js
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"use strict";
var canvas = document.getElementById("canvas");
var cwidth = canvas.width = canvas.offsetWidth;
var cheight = canvas.height = canvas.offsetHeight;
var xmin = -2;
var xmax = 1;
var ymin = -1.2;
var ymax = 1.2;
var nmax = 1000;
var l = 4;
var rad = 2;
var frct = 11;
var cr = 0.28;
var ci = 0.01;
var t0,t1;
var coul=[];
function calCoul() {
coul[0]=0;
for (let i=1; i<nmax; i++){
coul[i]=Math.floor(128*Math.log10(i));
}
}
calCoul();
function coord(x, w, c) { // x[x, y], w[xmin, xmax, ymin, ymax], c[cwidth, cheight]
let xs = (w[1]-w[0])/c[0];
let ys = (w[3]-w[2])/c[1];
return [w[0]+x[0]*xs, w[2]+x[1]*ys];
}
function initGPU() {
try {
return new window.GPU.GPU();
} catch (e) {
return new GPU();
}
}
const gpu = initGPU();
gpu.addFunction(coord);
gpu.addFunction(mod_cc);
gpu.addFunction(mod2_cc);
gpu.addFunction(add_cc);
gpu.addFunction(sub_cc);
gpu.addFunction(mul_cc);
gpu.addFunction(div_cc);
function mandelbrot(){
let context,img,r,v,b,a=255;
context = canvas.getContext("2d");
let xs = (xmax-xmin)/cwidth;
let ys = (ymax-ymin)/cheight;
img = context.createImageData(cwidth,cheight);
for (let y=0,j=0;y<cheight;y++){
let cy = ymax - y*ys;
for (let x=0;x<cwidth;x++){
let cx = xmin + x*xs;
let x1 = cx;
let y1 = cy;
let xx = x1**2;
let yy = y1**2;
let i = 0;
let p = Math.sqrt((cx-.25)**2+cy**2); // speed optimisation
if (cx < p-2*p*p+.25) i = nmax; // skip the cardioid
if ((cx+1)**2+cy**2 < .0625) i = nmax; // skip first bulb
for(;i<nmax && xx+yy<=l;i++){
xx = x1**2;
yy = y1**2;
y1 = 2*x1*y1+cy;
x1 = xx-yy+cx;
}
if (i === nmax){
r=v=b=0;
} else {
r=coul[i];
v=i*2;
b=i;
}
img.data[j++] = r;
img.data[j++] = v;
img.data[j++] = b;
img.data[j++] = a;
}
}
context.putImageData(img, 0, 0);
}
var mandelbrotGPU = gpu.createKernel(function(xmin,xmax,ymin,ymax,nmax,cwidth,cheight) {
let x = [0,0];
x = coord([this.thread.x, this.thread.y], [xmin, xmax, ymin, ymax], [cwidth, cheight]);
let cx = x[0];
let cy = x[1];
let x1 = cx;
let y1 = cy;
let xx = x1**2;
let yy = y1**2;
let i = 0;
for(;i<nmax && xx+yy<=4;i++){
xx = x1**2;
yy = y1**2;
y1 = 2*x1*y1+cy;
x1 = xx-yy+cx;
}
if (i !== nmax){
this.color(Math.log10(i)/2, i*2/256, i/256);
} else {
this.color(0, 0, 0);
}
})
// .setPrecision('single')
// .setTactic('precision')
.setLoopMaxIterations(10000)
.setOutput([cwidth, cheight])
.setGraphical(true);
function mandelsinh(){
let context,img,r,v,b,a=255;
context = canvas.getContext("2d");
let xs = (xmax-xmin)/cwidth;
let ys = (ymax-ymin)/cheight;
img = context.createImageData(cwidth,cheight);
for (let y=0,j=0;y<cheight;y++){
let cy = ymax - y*ys;
for (let x=0;x<cwidth;x++){
let cx = xmin + x*xs;
let x1 = 1;
let y1 = .1;
let xx = x1**2;
let yy = y1**2;
let i = 0;
let ca = cx**2/(cx**2+cy**2)**2-cy**2/(cx**2+cy**2)**2;
let cb = -2*cx*cy/(cx**2+cy**2)**2;
for(;i<nmax && xx+yy<=40000;i++){
xx = x1**2;
yy = y1**2;
let yt = Math.cosh(x1)*Math.sin(y1)+ca;
x1 = Math.sinh(x1)*Math.cos(y1)+cb;
y1 = yt;
}
if (i === nmax){
r=v=b=0;
} else {
r=128-256*Math.sin(i);
v=i*26;
b=i*26;
}
img.data[j++] = r;
img.data[j++] = v;
img.data[j++] = b;
img.data[j++] = a;
}
}
context.putImageData(img, 0, 0);
}
var mandelsinhGPU = gpu.createKernel(function(xmin,xmax,ymin,ymax,nmax,cwidth,cheight) {
let x = [0,0];
x = coord([this.thread.x, this.thread.y], [xmin, xmax, ymin, ymax], [cwidth, cheight]);
let cx = x[0];
let cy = x[1];
let x1 = 1;
let y1 = 0.1;
let xx = x1**2;
let yy = y1**2;
let i = 0;
let ca = cx**2/(cx**2+cy**2)**2-cy**2/(cx**2+cy**2)**2;
let cb = -2*cx*cy/(cx**2+cy**2)**2;
for(;i<nmax && xx+yy<=40000;i++){
xx = x1**2;
yy = y1**2;
let yt = Math.cosh(x1)*Math.sin(y1)+ca;
x1 = Math.sinh(x1)*Math.cos(y1)+cb;
y1 = yt;
}
if (i !== nmax){
this.color(0.5-Math.sin(i), i/10, i/10);
//this.color(i/10, i/10, i/10);
} else {
this.color(0, 0, 0);
}
})
// .setPrecision('single')
// .setTactic('precision')
.setLoopMaxIterations(10000)
.setOutput([cwidth, cheight])
.setGraphical(true);
var mandelGPU = gpu.createKernel(function(xmin,xmax,ymin,ymax,nmax, rad, cr, ci,cwidth,cheight) {
let x = [0,0];
x = coord([this.thread.x, this.thread.y], [xmin, xmax, ymin, ymax], [cwidth, cheight]);
let cx = x[0];
let cy = x[1];
let x1 = cr;
let y1 = ci;
let xx = x1**2;
let yy = y1**2;
let rad2 = rad**2;
let i = 0;
for(;i<nmax && xx+yy<=rad2;i++){
xx = x1**2;
yy = y1**2;
y1 = 2*x1*y1+cy;
x1 = xx-yy+cx;
}
if (i !== nmax){
this.color(Math.log10(i)/2, i*2/256, i/256);
} else {
this.color(0, 0, 0);
}
})
// .setPrecision('single')
// .setTactic('precision')
.setLoopMaxIterations(10000)
.setOutput([cwidth, cheight])
.setGraphical(true);
function burnShip(){
let context,img,r,v,b,a=255;
context = canvas.getContext("2d");
let xs = (xmax-xmin)/cwidth;
let ys = (ymax-ymin)/cheight;
img = context.createImageData(cwidth,cheight);
for (let y=0,j=0;y<cheight;y++){
let cy = y*ys - ymax; // invert y axis to see the ship
for (let x=0;x<cwidth;x++){
let cx = xmin + x*xs;
let x1 = cx;
let y1 = cy;
let i=0;
for(;i<nmax;i++){
let xx = x1**2;
let yy = y1**2;
if (xx+yy>l){break;}
y1 = Math.abs(2*x1*y1)+cy;
x1 = xx-yy+cx;
}
if (i === nmax){
r=v=b=0;
} else {
r=coul[i];
v=i*2;
b=i;
}
img.data[j++] = r;
img.data[j++] = v;
img.data[j++] = b;
img.data[j++] = a;
}
}
context.putImageData(img, 0, 0);
}
var burningShipGPU = gpu.createKernel(function(xmin,xmax,ymin,ymax,nmax,cwidth,cheight) {
let x = [0,0];
x = coord([this.thread.x, this.thread.y], [xmin, xmax, ymin, ymax], [cwidth, cheight]);
let cx = x[0];
let cy = -x[1];
let x1 = cx;
let y1 = cy;
let out = false;
let i = 0;
for(;i<nmax;i++){
let xx = x1**2;
let yy = y1**2;
if (xx+yy>4){out=true;break;}
y1 = Math.abs(2*x1*y1)+cy;
x1 = xx-yy+cx;
}
if (out){
this.color(Math.log10(i)/2, i*2/256, i/256);
} else {
this.color(0, 0, 0);
}
})
// .setPrecision('single')
// .setTactic('precision')
.setLoopMaxIterations(10000)
.setOutput([cwidth, cheight])
.setGraphical(true);
function julia(n){
let context,img,r,v,b,a=255;
context = canvas.getContext("2d");
img = context.createImageData(cwidth,cheight);
let xs = (xmax-xmin)/cwidth;
let ys = (ymax-ymin)/cheight;
for (let y=0,j=0;y<cheight;y++){
let cy = ymax - y*ys;
for (let x=0;x<cwidth;x++){
let cr,ci;
if (n === 1) {
cr = 0.285;
ci = 0.01;
}else if (n === 2) {
cr = 0.28;
ci = -0.02;
}else{
cr = -0.15;
ci = 1.03;
}
let cx = xmin + x*xs;
let x1 = cx;
let y1 = cy;
let i=0
for(;i<nmax;i++){
let xx = x1**2;
let yy = y1**2;
if (xx+yy>l){break;}
y1 = 2*x1*y1+ci;
x1 = xx-yy+cr;
}
if (i === nmax){
r=0;
v=0;
b=0;
} else {
r=Math.floor(128*Math.log(i)/Math.log(10));
v=i*2;
b=i;
}
img.data[j++] = r;
img.data[j++] = v;
img.data[j++] = b;
img.data[j++] = a;
}
}
context.putImageData(img, 0, 0);
}
var juliaGPU = gpu.createKernel(function(xmin,xmax,ymin,ymax,nmax,cwidth,cheight,cr,ci) {
let x = [0,0];
x = coord([this.thread.x, this.thread.y], [xmin, xmax, ymin, ymax], [cwidth, cheight]);
let cx = x[0];
let cy = x[1];
let x1 = cx;
let y1 = cy;
let out = false;
let i = 0;
for(;i<nmax;i++){
let xx = x1**2;
let yy = y1**2;
if (xx+yy>4){out=true;break;}
y1 = 2*x1*y1+ci;
x1 = xx-yy+cr;
}
if (out){
this.color(Math.log10(i)/2, i*2/256, i/256);
} else {
this.color(0, 0, 0);
}
})
// .setPrecision('single')
// .setTactic('precision')
.setLoopMaxIterations(10000)
.setOutput([cwidth, cheight])
.setGraphical(true);
function collatz() {
let context,img,r,v,b,a=255;
context = canvas.getContext("2d");
let xs = (xmax-xmin)/cwidth;
let ys = (ymax-ymin)/cheight;
img = context.createImageData(cwidth,cheight);
for (let y=0,j=0;y<cheight;y++){
let cy = ymax - y*ys;
for (let x=0;x<cwidth;x++){
let cx = xmin + x*xs;
let x1 = cx;
let y1 = cy;
let i=0
let norm = 0;
for(;i<nmax && norm<10000;i++){
let cosr = Math.cos(Math.PI*x1)*Math.cosh(Math.PI*y1);
let cosi = Math.sin(Math.PI*x1)*Math.sinh(Math.PI*y1);
let re = (2-(2+5*x1)*cosr+7*x1-5*y1*cosi)/4;
let im = ((2+5*x1)*cosi+7*y1-5*y1*cosr)/4;
// let re = (1-(1+2*x1)*cosr+4*x1-2*y1*cosi)/4;
// let im = ((1+2*x1)*cosi+4*y1-2*y1*cosr)/4;
x1 = re;
y1 = im;
norm = re*re+im*im;
// if (){break;}
}
if (i === nmax){
r=v=b=0;
} else {
b=i*60;
v=(i-4)*80;
r=(i-4)*10;
}
img.data[j++] = r;
img.data[j++] = v;
img.data[j++] = b;
img.data[j++] = a;
}
}
context.putImageData(img, 0, 0);
}
var collGPU = gpu.createKernel(function(xmin,xmax,ymin,ymax,nmax,cwidth,cheight) {
let x = [0,0];
x = coord([this.thread.x, this.thread.y], [xmin, xmax, ymin, ymax], [cwidth, cheight]);
let cx = x[0];
let cy = x[1];
let x1 = cx;
let y1 = cy;
let i = 0;
let norm=0;
for(;i<nmax && norm<10000;i++){
let cosr = Math.cos(Math.PI*x1)*Math.cosh(Math.PI*y1);
let cosi = Math.sin(Math.PI*x1)*Math.sinh(Math.PI*y1);
let re = (2-(2+5*x1)*cosr+7*x1-5*y1*cosi)/4;
let im = ((2+5*x1)*cosi+7*y1-5*y1*cosr)/4;
x1 = re;
y1 = im;
norm = re*re+im*im;
}
if (i === nmax){
this.color(0, 0, 0);
} else {
let b=.234*i;
let v=.313*(i-4);
let r=.039*(i-4);
this.color(r, v, b);
}
})
// .setPrecision('single')
// .setTactic('precision')
// .setFixIntegerDivisionAccuracy(true)
.setLoopMaxIterations(10000)
.setOutput([cwidth, cheight])
.setGraphical(true);
var coll2GPU = gpu.createKernel(function(xmin,xmax,ymin,ymax,nmax,cwidth,cheight) {
let x = [0,0];
x = coord([this.thread.x, this.thread.y], [xmin, xmax, ymin, ymax], [cwidth, cheight]);
let cx = x[0];
let cy = x[1];
let x1 = cx;
let y1 = cy;
let i = 0;
let norm=0;
for(;i<nmax && norm<10000;i++){
let cosr = Math.cos(Math.PI*x1)*Math.cosh(Math.PI*y1);
let cosi = Math.sin(Math.PI*x1)*Math.sinh(Math.PI*y1);
let re = (1-(1+2*x1)*cosr+4*x1-2*y1*cosi)/4;
let im = ((1+2*x1)*cosi+4*y1-2*y1*cosr)/4;
x1 = re;
y1 = im;
norm = re*re+im*im;
}
if (i === nmax){
this.color(0, 0, 0);
} else {
let b=.234*i;
let v=.313*(i-4);
let r=.039*(i-4);
this.color(r, v, b);
}
})
// .setPrecision('single')
// .setTactic('precision')
// .setFixIntegerDivisionAccuracy(true)
.setLoopMaxIterations(10000)
.setOutput([cwidth, cheight])
.setGraphical(true);
function add_c(a, b) {
return {r: a.r+b.r, i: a.i+b.i};
}
function sub_c(a, b) {
return {r: a.r-b.r, i: a.i-b.i};
}
function mul_c(a, b) {
return {r:a.r*b.r-a.i*b.i, i:a.r*b.i+a.i*b.r};
}
function div_c(a, b) {
let mod2 = mod2_c(b);
if (mod2 === 0) // division par zéro
return {r:0, i:0};
return {r:(a.r*b.r+a.i*b.i)/mod2, i:(a.i*b.r-a.r*b.i)/mod2};
}
function mod_c(a){
return Math.sqrt(a.r*a.r+a.i*a.i);
}
function mod2_c(a){
return a.r*a.r+a.i*a.i;
}
function newton () {
let context,img,r,v,b,a=255;
context = canvas.getContext("2d");
let xs = (xmax-xmin)/cwidth;
let ys = (ymax-ymin)/cheight;
let p1 = {r: 1, i: 0}, // les 3 racines
p2 = {r: -.5, i: Math.sqrt(3)/2},
p3 = {r:-.5, i: -Math.sqrt(3)/2};
let threshold = .001;
img = context.createImageData(cwidth,cheight);
for (let y=0,j=0;y<cheight;y++){
let cy = ymax - y*ys;
for (let x=0;x<cwidth;x++){
let cx = xmin + x*xs;
let z = {r:cx, i:cy};
let d1 = mod_c(p1);
let d2 = mod_c(p2);
let d3 = mod_c(p3);
let dmin = Math.min(Math.min(d1,d2),d3);
// nmax = 100;
let i=0;
for(;i<nmax && dmin>threshold;i++){
let num = mul_c(mul_c(sub_c(z, p1),sub_c(z, p2)), sub_c(z, p3));
let den = add_c(add_c(mul_c(sub_c(z, p2), sub_c(z, p3)), mul_c(sub_c(z, p1), sub_c(z, p3))), mul_c(sub_c(z, p1), sub_c(z, p2)));
z = sub_c(z, div_c(num, den));
d1 = mod_c(sub_c(z, p1));
d2 = mod_c(sub_c(z, p2));
d3 = mod_c(sub_c(z, p3));
dmin = Math.min(Math.min(d1,d2),d3);
}
let coul = 153 + 102*Math.cos(.25* (i - Math.log2(Math.log(dmin) / Math.log(threshold))));
// let coul = 153 + 102*Math.cos(.25*i);
// let coul = 153 + 10*i;
if (i === nmax){
r=v=b=0;
} else if (d1<d2 && d1<d3) { // on converge vers d1
r=coul;
v=0;
b=.3*coul;
} else if (d2<d1 && d2<d3) { // on converge vers d2
r=0;
v=coul;
b=.3*coul;
} else { // on converge vers d3
r=0;
v=.3*coul;
b=coul;
}
img.data[j++] = r;
img.data[j++] = v;
img.data[j++] = b;
img.data[j++] = a;
}
}
context.putImageData(img, 0, 0);
}
function mod_cc(a){
return Math.sqrt(a[0]*a[0]+a[1]*a[1]);
}
function mod2_cc(a){
return a[0]*a[0]+a[1]*a[1];
}
function add_cc(a, b) {
return [a[0]+b[0], a[1]+b[1]];
}
function sub_cc(a, b) {
return [a[0]-b[0], a[1]-b[1]];
}
function mul_cc(a, b) {
return [a[0]*b[0]-a[1]*b[1], a[0]*b[1]+a[1]*b[0]];
}
function div_cc(a, b) {
let mod2 = mod2_cc(b);
if (mod2 === 0) // division par zéro
return [0, 0];
return [(a[0]*b[0]+a[1]*b[1])/mod2, (a[1]*b[0]-a[0]*b[1])/mod2];
}
var newtonGPU = gpu.createKernel(function(xmin,xmax,ymin,ymax,nmax,cwidth,cheight) {
let x = [0,0];
x = coord([this.thread.x, this.thread.y], [xmin, xmax, ymin, ymax], [cwidth, cheight]);
let z = [x[0], x[1]];
let p1 = [1, 0], // les 3 racines
p2 = [-.5, Math.sqrt(3)/2],
p3 = [-.5, -Math.sqrt(3)/2];
let threshold = .001;
let d1 = mod_cc(p1);
let d2 = mod_cc(p2);
let d3 = mod_cc(p3);
let dmin = Math.min(Math.min(d1,d2),d3)
let i = 0;
for(;i<nmax && dmin>threshold;i++){
let num = mul_cc(mul_cc(sub_cc(z, p1),sub_cc(z, p2)), sub_cc(z, p3));
let den = add_cc(add_cc(mul_cc(sub_cc(z, p2), sub_cc(z, p3)), mul_cc(sub_cc(z, p1), sub_cc(z, p3))), mul_cc(sub_cc(z, p1), sub_cc(z, p2)));
z = sub_cc(z, div_cc(num, den));
d1 = mod_cc(sub_cc(z, p1));
d2 = mod_cc(sub_cc(z, p2));
d3 = mod_cc(sub_cc(z, p3));
dmin = Math.min(Math.min(d1,d2),d3);
}
let vc = .24*(Math.log2(Math.log(dmin) / Math.log(threshold)));
let coul = .6 + .4*Math.cos(.25*i-vc);
if (i===nmax){
this.color(0, 1, 0);
} else {
let r=0, v=0, b=0;
if (d1<d2 && d1<d3) { // on converge vers d1
r=coul;
b=.3*coul;
} else if (d2<d1 && d2<d3) { // on converge vers d2
v=coul;
b=.3*coul;
} else { // on converge vers d3
v=.3*coul;
b=coul;
}
this.color(r, v, b);
}
})
// .setPrecision('single')
// .setTactic('precision')
.setLoopMaxIterations(10000)
.setOutput([cwidth, cheight])
.setGraphical(true);
var cosa = Math.cos(Math.PI/3);
var sina = Math.sin(Math.PI/3);
function koch(x1,y1,x2,y2,i,ctx){
if ((i>=nmax)||(i>=9)){
let xs = cwidth/(xmax-xmin);
let ys = cheight/(ymax-ymin);
let xa = (x1-xmin)*xs;
let ya = (-y1+ymax)*ys;
let xb = (x2-xmin)*xs;
let yb = (-y2+ymax)*ys;
ctx.lineJoin = "bevel";
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(xa,ya);
ctx.lineTo(xb,yb);
ctx.stroke();
}else{
let xa = x1+(x2-x1)/3;
let ya = y1+(y2-y1)/3;
let xc = x1+2*(x2-x1)/3;
let yc = y1+2*(y2-y1)/3;
let xb = cosa*(xc-xa) - sina*(yc-ya) + xa;
let yb = sina*(xc-xa) + cosa*(yc-ya) + ya;
i++;
koch(x1,y1,xa,ya,i,ctx);
koch(xa,ya,xb,yb,i,ctx);
koch(xb,yb,xc,yc,i,ctx);
koch(xc,yc,x2,y2,i,ctx);
}
}
function vankoch(){
context = canvas.getContext("2d");
if (nmax>9) {nmax = 9;document.getElementById("formiter").value=nmax;}
context.strokeStyle = "#fff";
koch(-1,1,1,1,0,context);
koch(1,1,0,-0.732,0,context);
koch(0,-0.732,-1,1,0,context);
}
function koch2(x1,y1,x2,y2,i,ctx){
if ((i>=nmax)||(i>=5)){
let xs = cwidth/(xmax-xmin);
let ys = cheight/(ymax-ymin);
let xa = (x1-xmin)*xs;
let ya = (-y1+ymax)*ys;
let xb = (x2-xmin)*xs;
let yb = (-y2+ymax)*ys;
ctx.lineJoin = "bevel";
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(xa,ya);
ctx.lineTo(xb,yb);
ctx.stroke();
}else{
let xs = x2-x1;
let ys = y2-y1;
let xa = x1+xs/4;
let ya = y1+ys/4;
let xd = x1+2*xs/4;
let yd = y1+2*ys/4;
let xg = x1+3*xs/4;
let yg = y1+3*ys/4;
let xb = xa-(yd-ya);
let yb = ya+(xd-xa);
let xc = xd-(yg-yd);
let yc = yd+(xg-xd);
let xe = xd-(xc-xd);
let ye = yd-(yc-yd);
let xf = xg-(yd-yg);
let yf = yg+(xd-xg);
i++;
koch2(x1,y1,xa,ya,i,ctx);
koch2(xa,ya,xb,yb,i,ctx);
koch2(xb,yb,xc,yc,i,ctx);
koch2(xc,yc,xd,yd,i,ctx);
koch2(xd,yd,xe,ye,i,ctx);
koch2(xe,ye,xf,yf,i,ctx);
koch2(xf,yf,xg,yg,i,ctx);
koch2(xg,yg,x2,y2,i,ctx);
}
}
function vankoch2(){
context = canvas.getContext("2d");
if (nmax>5) {nmax = 5;document.getElementById("formiter").value=nmax;}
context.strokeStyle = "#fff";
koch2(-1,1,1,1,0,context);
koch2(1,1,1,-1,0,context);
koch2(1,-1,-1,-1,0,context);
koch2(-1,-1,-1,1,0,context);
}
function sierp(x1,y1,x2,y2,x3,y3,i,ctx){
if ((i>=nmax)||(i>=12)){
let xs = cwidth/(xmax-xmin);
let ys = cheight/(ymax-ymin);
let xa = (x1-xmin)*xs;
let ya = (-y1+ymax)*ys;
let xb = (x2-xmin)*xs;
let yb = (-y2+ymax)*ys;
let xc = (x3-xmin)*xs;
let yc = (-y3+ymax)*ys;
ctx.lineJoin = "bevel";
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(xa,ya);
ctx.lineTo(xb,yb);
ctx.lineTo(xc,yc);
ctx.closePath();
ctx.fill();
}else{
let a = x1+(x3-x1)/4;
let b = x1+2*(x3-x1)/4;
let c = x1+3*(x3-x1)/4;
let d = y1+(y2-y1)/2;
i++;
sierp(x1,y1,a,d,b,y1,i,ctx);
sierp(a,d,x2,y2,c,d,i,ctx);
sierp(b,y1,c,d,x3,y3,i,ctx);
}
}
function sierpinski(){
context = canvas.getContext("2d");
if (nmax>12) {nmax = 12;document.getElementById("formiter").value=nmax;}
context.fillStyle = "#eee";
sierp(-1,-0.732,0,1,1,-0.732,0,context);
}
function dragon(x1,y1,x2,y2,i,ctx){
if ((i>=nmax)||(i>=18)){
let xs = cwidth/(xmax-xmin);
let ys = cheight/(ymax-ymin);
let xa = (x1-xmin)*xs;
let ya = (-y1+ymax)*ys;
let xb = (x2-xmin)*xs;
let yb = (-y2+ymax)*ys;
ctx.lineJoin = "bevel";
ctx.lineWidth = 1;
ctx.beginPath();
ctx.moveTo(xa,ya);
ctx.lineTo(xb,yb);
ctx.stroke();
}else{
let xs = x2-x1;
let ys = y2-y1;
let x = x1+xs/2;
let y = y1+ys/2;
i++;
x = (x2-x1)/2 + (y2-y1)/2 + x1;
y = (y2-y1)/2 - (x2-x1)/2 + y1;
dragon(x1,y1,x,y,i,ctx);
dragon(x2,y2,x,y,i,ctx);
}
}
function heightway(){
context = canvas.getContext("2d");
if (nmax>18) {nmax = 18;document.getElementById("formiter").value=nmax;}
context.strokeStyle = "red";
dragon(-1,0,1,0,0,context);
context.strokeStyle = "green";
dragon(1,0,-1,0,0,context);
context.strokeStyle = "blue";
dragon(1,0,3,0,0,context);
context.strokeStyle = "purple";
dragon(3,0,1,0,0,context);
}
function rotate(M, O, angle, h=.67) {
let xM, yM, x, y;
angle *= Math.PI / 180;
xM = M.x - O.x;
yM = M.y - O.y;
xM *= h;yM *= h;
x = xM * Math.cos (angle) + yM * Math.sin (angle) + O.x;
y = - xM * Math.sin (angle) + yM * Math.cos (angle) + O.y;
return ({x:Math.round (x), y:Math.round (y)});
}
function tree() {
let ctx = canvas.getContext("2d");
ctx.strokeStyle = "brown";
ctx.lineJoin = "bevel";
ctx.lineWidth = 2;
ctx.beginPath();
let x1 = 0, y1 = -1, x2 = 0, y2 = -.3;
let xs = cwidth/(xmax-xmin);
let ys = cheight/(ymax-ymin);
let xa = (x1-xmin)*xs;
let ya = (-y1+ymax)*ys;
let xb = (x2-xmin)*xs;
let yb = (-y2+ymax)*ys;
branch(xa, ya, xb, yb, 0, ctx);
}
function branch(x0, y0, x1, y1, i, ctx) {
if ((i++>nmax) || (i>20)) return;
if (i>5) ctx.strokeStyle = "Green";
else ctx.strokeStyle = "SaddleBrown";
ctx.beginPath();
ctx.moveTo(x0,y0);
ctx.lineTo(x1,y1);
ctx.lineWidth = 9-i;
ctx.stroke();
let b1 = rotate({x:x0, y:y0}, {x:x1, y:y1}, -150)
let b2 = rotate({x:x0, y:y0}, {x:x1, y:y1}, 130)
branch(x1, y1, b1.x, b1.y, i, ctx);
branch(x1, y1, b2.x, b2.y, i, ctx);
}
function fern() {
let ctx = canvas.getContext("2d");
ctx.strokeStyle = "brown";
ctx.lineJoin = "bevel";
ctx.lineWidth = 2;
ctx.beginPath();
let x1 = 0, y1 = -1, x2 = 0, y2 = -.3;
let xs = cwidth/(xmax-xmin);
let ys = cheight/(ymax-ymin);
let xa = (x1-xmin)*xs;
let ya = (-y1+ymax)*ys;
let xb = (x2-xmin)*xs;
let yb = (-y2+ymax)*ys;
leaf(xa, ya, xb, yb, 0, ctx);
}
function leaf(x0, y0, x1, y1, i, ctx) {
if ((i++>nmax) || (i>11)) return;
if (i>1) ctx.strokeStyle = "Green";
else ctx.strokeStyle = "SaddleBrown";
ctx.beginPath();
ctx.moveTo(x0,y0);
ctx.lineTo(x1,y1);
ctx.lineWidth = 9-i;
ctx.stroke();
let b1 = rotate({x:x0, y:y0}, {x:x1, y:y1}, -118,.35)
let b2 = rotate({x:x0, y:y0}, {x:x1, y:y1}, 108,.25)
let b3 = rotate({x:x0, y:y0}, {x:x1, y:y1}, 175,.85)
leaf(x1, y1, b1.x, b1.y, i, ctx);
leaf(x1, y1, b2.x, b2.y, i, ctx);
leaf(x1, y1, b3.x, b3.y, i, ctx);
}
function draw(){
cwidth = canvas.width = canvas.offsetWidth;
cheight = canvas.height = canvas.offsetHeight;
t0 = performance.now();
fractale();
t1 = performance.now();
let d = (t1-t0)/1000; // durée d'execution en secondes
document.getElementById("disp").innerHTML = "temps de calcul :<br>"+d.toFixed(5)+" sec";
}
function selectFract(f) {
frct = parseInt(f);
let iter = document.getElementById("formiter");
switch(frct){
case 1: // mandelbrot
default:
case 2: // julia 1
case 3: // julia 2
case 4: // julia 3
case 13: // burning ship
case 16: // newton
iter.min = 100;
iter.max = 10000;
iter.step = 100;
iter.value = 1000;
break;
case 18: // mandelsinh
iter.min = 10;
iter.max = 1000;
iter.step = 10;
iter.value = 100;
break;
case 22: // mandelbrot GPU parametrable
cr=ci=0;
case 11: // mandelbrot GPU
case 12: // julia GPU
case 14: // burning ship GPU
case 17: // newton GPU
case 19: // mandelsinh GPU
iter.min = 1000;
iter.max = 10000;
iter.step = 1000;
iter.value = 1000;
break;
case 10: // Collatz
iter.min = 10;
iter.max = 1000;
iter.step = 10;
iter.value = 100;
break;
case 20: // Collatz GPU
case 21: // Collatz 2 GPU
iter.min = 10;
iter.max = 1000;
iter.step = 10;
iter.value = 100;
break;
case 5: // Koch 1
iter.min = 0;
iter.max = 9;
iter.step = 1;
iter.value = 4;
break;
case 6: // koch 2
iter.min = 0;
iter.max = 5;
iter.step = 1;
iter.value = 3;
break;
case 7: // sierpinski
iter.min = 0;
iter.max = 12;
iter.step = 1;
iter.value = 5;
break;
case 8: // heighway
iter.min = 0;
iter.max = 18;
iter.step = 1;
iter.value = 15;
break;
case 9: // tree
iter.min = 0;
iter.max = 18;
iter.step = 1;
iter.value = 14;
break;
case 15: // fern
iter.min = 0;
iter.max = 12;
iter.step = 1;
iter.value = 10;
break;
}
nmax = parseInt(iter.value);
document.getElementById("formiter2").value = iter.value;
draw();
}
function fractale(){
document.getElementById("juliacri").style="display:none;";
document.getElementById("mandelp").style="display:none;";
switch(frct){
case 1:
default:
mandelbrot();
break;
case 11:
mandelbrotGPU(xmin,xmax,ymin,ymax,nmax,cwidth,cheight);
document.getElementById('canvas').getContext('2d').drawImage(gpu.canvas, 0, 0);
break;
case 22:
document.getElementById("mandelp").style="display:block;";
mandelGPU(xmin,xmax,ymin,ymax,nmax,rad,cr,ci,cwidth,cheight);
document.getElementById('canvas').getContext('2d').drawImage(gpu.canvas, 0, 0);
break;
case 10:
collatz();
break;
case 20:
collGPU(xmin,xmax,ymin,ymax,nmax,cwidth,cheight);
document.getElementById('canvas').getContext('2d').drawImage(gpu.canvas, 0, 0);
break;
case 21:
coll2GPU(xmin,xmax,ymin,ymax,nmax,cwidth,cheight);
document.getElementById('canvas').getContext('2d').drawImage(gpu.canvas, 0, 0);
break;
case 13:
burnShip();
break;
case 14:
burningShipGPU(xmin,xmax,ymin,ymax,nmax,cwidth,cheight);
document.getElementById('canvas').getContext('2d').drawImage(gpu.canvas, 0, 0);
break;
case 2:
julia(1);
break;
case 16: