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BenchmarkExamples_OrnaStrokes_LP.html
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BenchmarkExamples_OrnaStrokes_LP.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<style type="text/css">
body {
margin: 0px;
padding: 0px;
}
#CSCanvas {
width: 100%; height: 70vh;
display: flex; flex-grow: 0;
background-color: rgba(255,255,255,1); }
#container {
width: 100%; height: 50%;
display: flex; flex-direction: column; }
#controls {
flex-grow: 1; display: flex; flex-direction: row;
width: 100%; height: 80px;
align-items: stretch; text-align: center; align-items: center;
background-color: lightblue; }
.box {
background-color: dodgerblue; border: none;margin: 0px;
flex-grow: 0; color: blue; font-size: 15px;
height: 60px; border-radius: 40%; cursor: pointer; }
.box:hover {
background-color: darkblue; cursor: pointer; }
.box2 {
background-color: limegreen; border: none;margin: 0px;
flex-grow: 0; color: blue; font-size: 15px;
height: 60px; border-radius: 40%; cursor: pointer; }
.box2:hover {
background-color: darkgreen; cursor: pointer; }
</style>
<meta charset="utf-8">
<title>BenchmarkExamples</title>
<script type="text/javascript" src="https://cindyjs.org/dist/v0.8/Cindy.js"></script>
<script type="text/javascript" src="https://cindyjs.org/dist/v0.8/CindyGL.js"></script>
</head>
<body>
<script id='csinit' type='text/x-cindyscript'>
countorna=0;
testind=0;
ornaonoff():=(
countorna=countorna+1;
javascript("setColor('orna')");
resetclock();
clicky=0;
ptforcelist=[];
allptlist=[];
singlist=[];
singlast=[];
crossnew=[];
crossflag=0;
amountold=10;
dochangeamount=false;
colorplot((0,0),(1024,0),"aktcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"conftestcanvas",(0,0,0,-1));
colorplot((0,0),(1024,0),"countcanvas",(0,0,0,-1));
colorplot((0,0),(1024,0),"ptcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"mpcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"equicanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"mpimcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"radcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"aktcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"conftestcanvas2",(0,0,0,-1));
colorplot((0,0),(1024,0),"countcanvas2",(0,0,0,-1));
colorplot((0,0),(1024,0),"ptcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"mpcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"equicanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"mpimcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"radcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"overlapcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"overlapcanvas2",(0,0,0,0));
clicky=0;
javascript("setColor2('start')");
);//end ornaonoff
javascript("setColor('orna')");
clicky=0;
startstop():=(
clicky=mod(clicky+1,2);
javascript("setColor2('start')");
resetclock();
currentTime=seconds();
if(clicky==1,
testind=0;
ptforcelist=[];
allptlist=[];
equicount=0;
equicount2=0;
changecanvas=0;
lastmat=[];
singlist=[];
singlast=[];
crossnew=[];
crossflag=0;
amountold=10;
dochangeamount=false;
colorplot((0,0),(1024,0),"aktcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"conftestcanvas",(0,0,0,-1));
colorplot((0,0),(1024,0),"countcanvas",(0,0,0,-1));
colorplot((0,0),(1024,0),"ptcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"mpcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"equicanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"mpimcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"radcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"aktcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"conftestcanvas2",(0,0,0,-1));
colorplot((0,0),(1024,0),"countcanvas2",(0,0,0,-1));
colorplot((0,0),(1024,0),"ptcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"mpcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"equicanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"mpimcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"radcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"overlapcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"overlapcanvas2",(0,0,0,0));
);
if(clicky==0,
if(length(usestroke) <= 0,
testind=0;
ptforcelist=[];
allptlist=[];
equicount=0;
equicount2=0;
changecanvas=0;
lastmat=[];
singlist=[];
singlast=[];
crossnew=[];
crossflag=0;
amountold=10;
dochangeamount=false;
colorplot((0,0),(1024,0),"aktcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"conftestcanvas",(0,0,0,-1));
colorplot((0,0),(1024,0),"countcanvas",(0,0,0,-1));
colorplot((0,0),(1024,0),"ptcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"mpcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"equicanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"mpimcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"radcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"aktcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"conftestcanvas2",(0,0,0,-1));
colorplot((0,0),(1024,0),"countcanvas2",(0,0,0,-1));
colorplot((0,0),(1024,0),"ptcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"mpcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"equicanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"mpimcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"radcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"overlapcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"overlapcanvas2",(0,0,0,0));
);
);
usestroke=stroke;
);//end startstop
javascript("setColor2('start')");
doorna=false;
//stroke
createimage("aktcanvas", 1024,512);
colorplot((0,0),(1024,0),"aktcanvas",(0,0,0,0));
//preimage coordinates
createimage("ptcanvas", 1024,512);
colorplot((0,0),(1024,0),"ptcanvas",(0,0,0,0));
//preimage centers
createimage("mpcanvas", 1024, 512);
colorplot((0,0),(1024,0),"mpcanvas",(0,0,0,0));
loadvar=0;
imratio=1;
scvel=64;
//quantity of equidistant circles
createimage("equicanvas", 1024, 512);
colorplot((0,0),(1024,0),"equicanvas",(0,0,0,0));
//circle centers in the stroke
createimage("mpimcanvas", 1024, 512);
colorplot((0,0),(1024,0),"mpimcanvas",(0,0,0,0));
//radius of circles
createimage("radcanvas", 1024, 512);
colorplot((0,0),(1024,0),"radcanvas",(0,0,0,0));
//for self-intersection
createimage("aktcanvas2", 1024,512);
createimage("ptcanvas2", 1024, 512);
createimage("mpcanvas2", 1024, 512);
createimage("equicanvas2", 1024, 512);
createimage("mpimcanvas2", 1024, 512);
createimage("radcanvas2", 1024, 512);
colorplot((0,0),(1024,0),"aktcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"ptcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"mpcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"equicanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"mpimcanvas2",(0,0,0,0));
colorplot((0,0),(1024,0),"radcanvas2",(0,0,0,0));
createimage("overlapcanvas", 1024,512);
createimage("overlapcanvas2", 1024,512);
colorplot((0,0),(1024,0),"overlapcanvas",(0,0,0,0));
colorplot((0,0),(1024,0),"overlapcanvas2",(0,0,0,0));
//for test of conformality
createimage("conftestcanvas", 1024,512);
createimage("countcanvas", 1024,512);
createimage("conftestcanvas2", 1024,512);
createimage("countcanvas2", 1024,512);
colorplot((0,0),(1024,0),"conftestcanvas",(0,0,0,-1));
colorplot((0,0),(1024,0),"countcanvas",(0,0,0,-1));
colorplot((0,0),(1024,0),"conftestcanvas2",(0,0,0,-1));
colorplot((0,0),(1024,0),"countcanvas2",(0,0,0,-1));
scvelnew=1024;
base=256;
clampvel(x):=max(min(x,1),0);
//splitData and restoreData functions
compvel(u,scvel,base):=(
ux=clampvel(u_1/scvel);
uy=clampvel(u_2/scvel);
uxh=round(ux*base)/base;
uyh=round(uy*base)/base;
uxl=round((ux-uxh)*base*base)/base;
uyl=round((uy-uyh)*base*base)/base;
(uxh,uyh,uxl,uyl);
);
expvel(u,scvel,base):=(
ur=((u_1)+(u_3)/base,(u_2)+(u_4)/base,0,0);
ur*scvel;
);
compmp(u,scvel,base):=(
ux=clampvel(u_1/scvel);
uxh=round(ux*base)/base;
uxl=round((ux-uxh)*base*base)/base;
(uxh,uxl,u_3,u_4);
);
expmp(u,scvel,base):=(
ur1=((u_1)+(u_2)/base)*scvel;
(ur1,16,u_3,u_4)
);
comptime(u,scvelnew,base):=(
ux=clampvel(u_1/scvelnew);
uxh=round(ux*base)/base;
uxl=round((ux-uxh)*base*base)/base;
(uxh,uxl,u_3,u_4);
);
exptime(u,scvelnew,base):=(
ur1=((u_1)+(u_2)/base)*scvelnew;
(ur1,0,u_3,u_4)
);
compvelnew(u,scvelnew,base):=(
ux=clampvel(u_1/scvelnew);
uy=clampvel(u_2/scvelnew);
uxh=round(ux*base)/base;
uyh=round(uy*base)/base;
uxl=round((ux-uxh)*base*base)/base;
uyl=round((uy-uyh)*base*base)/base;
(uxh,uyh,uxl,uyl);
);
expvelnew(u,scvelnew,base):=(
ur=((u_1)+(u_3)/base,(u_2)+(u_4)/base,0,0);
ur*scvelnew;
);
compmpequi(u,base):=(
ux=clampvel(u_1/base);
uy=clampvel(u_2/base);
uxh=round(ux*base)/base;
uyh=round(uy*base)/base;
uxl=round((ux-uxh)*base*base)/base;
uyl=round((uy-uyh)*base*base)/base;
(uxh,uyh,uxl,uyl);
);
expmpequi(u,base):=(
ur=((u_1)+(u_3)/base,(u_2)+(u_4)/base,0,0);
ur*base;
);
lerp(x,y,t):=t*y+(1-t)*x;
ptforcelist = [];
allptlist=[];
equicount=0;
equicount2=0;
changecanvas=0;
lastmat=[];
xold=0;
//for singularities on the boundary
singlist=[];
singlast=[];
crossnew=[];
crossflag=0;
flag=5;
amountold=10;
dochangeamount=false;
//defines the stroke
initfct():=(
//stroke
if(flag==5,
sampleRate = round(5/0.1);
samplelist=apply(1..sampleRate,0.1*#);
stroke = apply(2..(sampleRate-1), [350+(samplelist_#-2)*100,250+10*(samplelist_#-1)*(samplelist_#-3)*(samplelist_#-3)]);
stroke = apply(2..(sampleRate-1), [stroke_#] :> 40*(0.7*cos((samplelist_#-2)/2-0.25)+0.1) );
timerMax = 1/35;
);
//narrow turn
if(flag==4,
sampleRate = round(2/0.05);
samplelist=apply(1..sampleRate,0.05*#);
stroke = apply(1..sampleRate, [400+(samplelist_#-20*0.05)*100,100+300*(samplelist_#-20*0.05)^2]);
stroke = apply(3..sampleRate, [stroke_#] :> 140*cos(samplelist_#/4-1)^2);
timerMax = 1/35;
);
//half annulus
if(flag==2,
sampleRate = round((pi+0.05)/0.05);
samplelist=apply(1..sampleRate,0.05*(#));
annvar=300;
annurad1=30;
rho=0.8;
Kreisvariable=1/2*(1/rho+rho);
annurad=1/2*(1/rho-rho);
stroke = apply(1..sampleRate, [500+Kreisvariable*annvar*cos(pi-samplelist_#),100+Kreisvariable*annvar*sin(pi-samplelist_#)]);
stroke = apply(1..sampleRate, [stroke_#] :> annurad*annvar);
timerMax = 1/50;
);
//self-intersecting
if(flag==1,
sampleRate = round(4/0.04);
samplelist=apply(1..sampleRate,0.04*#);
stroke = apply(1..sampleRate, [600+40*(1-3*(samplelist_#-2)^2),250-40*(samplelist_#-2)*(3-(samplelist_#-2)^2)]);
stroke = apply(1..sampleRate, [stroke_#] :> 60*(0.2*cos(-(samplelist_#)/2)^4+0.5));
timerMax = 1/60;
);
//ellipse
if(flag==0,
cosh(z):=1/2*(exp(z)+exp(-z));
sinh(z):=1/2*(exp(z)-exp(-z));
c=0.3;
a=cosh(c);
b=sinh(c);
sampleRate = round(1*pi/0.05);
samplelist=apply(1..sampleRate,0.05*#);
stroke = apply(1..sampleRate, [500+300*a*cos(samplelist_#+0.5*pi),250+300*b*sin(samplelist_#+0.5*pi)]);
stroke = apply(3..sampleRate, [stroke_#] :> 70 ); //27
timerMax = 1/35;
);
);//end initfct
initfct();
usestroke=stroke;
timer = timerMax;
currentTime = seconds();
playanimation();
//Cubic splines
sp(t,v):=(1, t, t^2, t^3)*1/6*((1,4,1,0),(-3,0,3,0),(3,-6,3,0),(-1,3,-3,1))*v;
sr(t,v):=(1, t, t^2, t^3)*1/6*((1,4,1,0),(-3,0,3,0),(3,-6,3,0),(-1,3,-3,1))*v;
spd(t,v):=(0, 1, 2*t, 3*t^2)*1/6*((1,4,1,0),(-3,0,3,0),(3,-6,3,0),(-1,3,-3,1))*v;
srd(t,v):=(0, 1, 2*t, 3*t^2)*1/6*((1,4,1,0),(-3,0,3,0),(3,-6,3,0),(-1,3,-3,1))*v;
spd2(t,v):=(0, 0, 2, 6*t)*1/6*((1,4,1,0),(-3,0,3,0),(3,-6,3,0),(-1,3,-3,1))*v;
srd2(t,v):=(0, 0, 2, 6*t)*1/6*((1,4,1,0),(-3,0,3,0),(3,-6,3,0),(-1,3,-3,1))*v;
spd3(t,v):=(0, 0, 0, 6)*1/6*((1,4,1,0),(-3,0,3,0),(3,-6,3,0),(-1,3,-3,1))*v;
srd3(t,v):=(0, 0, 0, 6)*1/6*((1,4,1,0),(-3,0,3,0),(3,-6,3,0),(-1,3,-3,1))*v;
wp(t,vp,vr):=sp(t,vp)-sr(t,vr)*srd(t,vr)/|spd(t,vp)|^2*spd(t,vp)+sr(t,vr)/|spd(t,vp)|^2*Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2))*((0,-1),(1,0))*spd(t,vp);
wm(t,vp,vr):=sp(t,vp)-sr(t,vr)*srd(t,vr)/|spd(t,vp)|^2*spd(t,vp)-sr(t,vr)/|spd(t,vp)|^2*Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2))*((0,-1),(1,0))*spd(t,vp);
testsecdiff(x,y,t,vp,vr):=-2*((x-sp(t,vp)_1)*spd2(t,vp)_1-(spd(t,vp)_1)^2+(y-sp(t,vp)_2)*spd2(t,vp)_2-(spd(t,vp)_2)^2+sr(t,vr)*srd2(t,vr)+(srd(t,vr)^2));
wpd(t,vp,vr):=spd(t,vp)*(1-srd(t,vr)^2/|spd(t,vp)|^2-(sr(t,vr)*srd2(t,vr))/|spd(t,vp)|^2+(2*sr(t,vr)*srd(t,vr)*(spd(t,vp)_1*spd2(t,vp)_1+spd(t,vp)_2*spd2(t,vp)_2))/|spd(t,vp)|^4)
-spd2(t,vp)*sr(t,vr)*srd(t,vr)/|spd(t,vp)|^2+((0,-1),(1,0))*spd2(t,vp)*sr(t,vr)/|spd(t,vp)|^2*Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2))
+((0,-1),(1,0))*spd(t,vp)*(srd(t,vr)/|spd(t,vp)|^2*Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2))-2*sr(t,vr)*(spd(t,vp)_1*spd2(t,vp)_1+spd(t,vp)_2*spd2(t,vp)_2)/|spd(t,vp)|^4*Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2))
+sr(t,vr)/|spd(t,vp)|^2*(spd(t,vp)_1*spd2(t,vp)_1+spd(t,vp)_2*spd2(t,vp)_2-srd(t,vr)*srd2(t,vr))/Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2)));
wmd(t,vp,vr):=spd(t,vp)*(1-srd(t,vr)^2/|spd(t,vp)|^2-(sr(t,vr)*srd2(t,vr))/|spd(t,vp)|^2+(2*sr(t,vr)*srd(t,vr)*(spd(t,vp)_1*spd2(t,vp)_1+spd(t,vp)_2*spd2(t,vp)_2))/|spd(t,vp)|^4)
-spd2(t,vp)*sr(t,vr)*srd(t,vr)/|spd(t,vp)|^2-((0,-1),(1,0))*spd2(t,vp)*sr(t,vr)/|spd(t,vp)|^2*Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2))
-((0,-1),(1,0))*spd(t,vp)*(srd(t,vr)/|spd(t,vp)|^2*Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2))-2*sr(t,vr)*(spd(t,vp)_1*spd2(t,vp)_1+spd(t,vp)_2*spd2(t,vp)_2)/|spd(t,vp)|^4*Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2))
+sr(t,vr)/|spd(t,vp)|^2*(spd(t,vp)_1*spd2(t,vp)_1+spd(t,vp)_2*spd2(t,vp)_2-srd(t,vr)*srd2(t,vr))/Re(sqrt(|spd(t,vp)|^2-srd(t,vr)^2)));
detvec(v,w):=v_1*w_2-v_2*w_1;
curvcompare(t,vp,vr):=(|spd(t,vp)|^2-srd(t,vr)^2-sr(t,vr)*srd2(t,vr)+sr(t,vr)*srd(t,vr)/(|spd(t,vp)|^2)*(spd(t,vp)_1*spd2(t,vp)_1+spd(t,vp)_2*spd2(t,vp)_2))/(|spd(t,vp)|*sr(t,vr)*sqrt(|spd(t,vp)|^2-srd(t,vr)^2));
curvature(t,vp):=(detvec(spd(t,vp),spd2(t,vp)))/(|spd(t,vp)|^3);
dcurv(t,vp):=(detvec(spd(t,vp),spd3(t,vp))*|spd(t,vp)|^3-detvec(spd(t,vp),spd2(t,vp))*3*|spd(t,vp)|*(spd(t,vp)*spd2(t,vp)))/(|spd(t,vp)|^6);
evolute(t,vp):=sp(t,vp)+1/curvature(t,vp)*((0,-1),(1,0))*spd(t,vp)/|spd(t,vp)|;
devo(t,vp):=spd(t,vp)+((0,-1),(1,0))*((spd2(t,vp))/(curvature(t,vp)*|spd(t,vp)|^2)-(spd(t,vp)*(spd(t,vp)*spd2(t,vp)))/(curvature(t,vp)*|spd(t,vp)|^3)-(spd(t,vp)*dcurv(t,vp))/(curvature(t,vp)^2*|spd(t,vp)|));
drawtocanvas(newdist, newallpt, newallrad, newvec, xold, equicount, takt, vp, vr, allptlist, changecanvas, equicount2, lastmat):=(
if(doorna,
newvnorm=1/|newvec|*newvec;
vec3=newallrad*newvnorm;
vec4=(vec3_2,-vec3_1);
distpix=2*newallrad;
mal=newdist*32/(distpix);
xbefore=xold;
xold=xold+mal;
x1=mod(xold,imratio*64);
x2=mod(32+xold,imratio*64);
if(x1>x2,
x1=mod(-imratio*32+xold,imratio*64);
x2=mod(-imratio*32+32+xold,imratio*64);
);
mat=map(newallpt-vec3+vec4,newallpt+vec3+vec4,(x1,0),(x2,0));
ptnew=newallpt;
fval=newallrad;
if(changecanvas==0,
equicount=equicount+1;
colorplot((0,0),(1024,0),"ptcanvas",
col=imagergba((0,0),(1024,0),"ptcanvas",#);
ins=imagergba((0,0),(1024,0),"mpcanvas",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
impt=(mat*(#.x,#.y,1)).xy;
if(|pointc|<=fval+0.5,
if(ins_4<1 , col=compvel((impt_1,min(max(0,impt_2),32),0,1),scvel,base); );
);
col
); //end colorplot
colorplot((0,0),(1024,0),"mpimcanvas", interpolate->false,
colnew=imagergba((0,0),(1024,0),"mpimcanvas",#);
col=imagergba((0,0),(1024,0),"mpcanvas",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,
if(col_4<1,
colnew=compvelnew((ptnew_1,ptnew_2,0,1),scvelnew,base);
);
);
colnew
);//end colorplot
colorplot((0,0),(1024,0),"radcanvas", interpolate->false,
coln=imagergba((0,0),(1024,0),"radcanvas",#);
col=imagergba((0,0),(1024,0),"mpcanvas",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,
if(col_4<1,
coln=compmpequi((floor(fval),(fval-floor(fval))*100,0,1),base);
);
);
coln
);//end colorplot
eone=mod(equicount,256);
etwo=floor(equicount/256);
colorplot((0,0),(1024,0),"equicanvas",
col=imagergba((0,0),(1024,0),"equicanvas",#);
ins=imagergba((0,0),(1024,0),"mpcanvas",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,
if(ins_4<1, col=compmpequi((eone,etwo,0,1),base));
);
col
);//end colorplots
pt=(mat*(ptnew_1,ptnew_2,1)).xy;
colorplot((0,0),(1024,0),"mpcanvas",
col=imagergba((0,0),(1024,0),"mpcanvas",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,
if(col_4<1,
col=compmp((pt_1,16,0,1),scvel,base);
);
);
col
);//end colorplot
,
//changecanvas==1
equicount2=equicount2+1;
if(equicount2==1,
colorplot((0,0),(1024,0),"overlapcanvas",
col=imagergba((0,0),(1024,0),"overlapcanvas",#);
ins=imagergba((0,0),(1024,0),"mpcanvas",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
impt=(mat*(#.x,#.y,1)).xy;
if(|pointc|<=fval+0.5,
if(ins_4<1 ,
col=(1,0,1,1);
);
);
col
); //end colorplot
ptold=allptlist_(-2)_1;
radold=allptlist_(-2)_2;
colorplot((0,0),(1024,0),"overlapcanvas2",
col=imagergba((0,0),(1024,0),"overlapcanvas2",#);
ins=imagergba((0,0),(1024,0),"mpcanvas2",#);
pointc=(ptold_1-#.x,ptold_2-#.y);
impt=(lastmat*(#.x,#.y,1)).xy;
if(|pointc|<=radold+0.5,
if(ins_4<1 ,
col=(0.3,0,0.3,1);
);
);
col
); //end colorplot
); //end if equicount2==1
colorplot((0,0),(1024,0),"ptcanvas2",
col=imagergba((0,0),(1024,0),"ptcanvas2",#);
ins=imagergba((0,0),(1024,0),"mpcanvas2",#);
ins2=imagergba((0,0),(1024,0),"overlapcanvas2",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
impt=(mat*(#.x,#.y,1)).xy;
if(|pointc|<=fval+0.5,
if((ins_4+ins2_4)<1 ,
col=compvel((impt_1,min(max(0,impt_2),32),0,1),scvel,base);
);
);
col
); //end colorplot
colorplot((0,0),(1024,0),"mpimcanvas2", interpolate->false,
colnew=imagergba((0,0),(1024,0),"mpimcanvas2",#);
col=imagergba((0,0),(1024,0),"mpcanvas2",#);
ins2=imagergba((0,0),(1024,0),"overlapcanvas2",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,
if((col_4+ins2_4)<1,
colnew=compvelnew((ptnew_1,ptnew_2,0,1),scvelnew,base);
);
);
colnew
);//end colorplot
colorplot((0,0),(1024,0),"radcanvas2", interpolate->false,
coln=imagergba((0,0),(1024,0),"radcanvas2",#);
col=imagergba((0,0),(1024,0),"mpcanvas2",#);
ins2=imagergba((0,0),(1024,0),"overlapcanvas2",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,
if((col_4+ins2_4)<1,
coln=compmpequi((floor(fval),(fval-floor(fval))*100,0,1),base);
);
);
coln
);//end colorplot
eone=mod(equicount2,256);
etwo=floor(equicount2/256);
colorplot((0,0),(1024,0),"equicanvas2",
col=imagergba((0,0),(1024,0),"equicanvas2",#);
ins=imagergba((0,0),(1024,0),"mpcanvas2",#);
ins2=imagergba((0,0),(1024,0),"overlapcanvas2",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,
if((ins_4+ins2_4)<1,
col=compmpequi((eone,etwo,0,1),base);
);
);
col
);//end colorplot
pt=(mat*(ptnew_1,ptnew_2,1)).xy;
colorplot((0,0),(1024,0),"mpcanvas2",
col=imagergba((0,0),(1024,0),"mpcanvas2",#);
ins2=imagergba((0,0),(1024,0),"overlapcanvas2",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,
if((col_4+ins2_4)<1,
col=compmp((pt_1,16,0,1),scvel,base);
);
);
col
);//end colorplot
);//end if changecanvas
lastmat=mat;
,
//no orna
ptnew=newallpt;
fval=newallrad;
colorplot((0,0),(1024,0),"mpcanvas",
col=imagergba((0,0),(1024,0),"mpcanvas",#);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,if(col_4<1, col=(0,0,0,1)););
col
);//end colorplot
colorplot((0,0),(1024,0),"aktcanvas",
col=imagergba((0,0),(1024,0),"aktcanvas", # , interpolate->true);
pointc=(ptnew_1-#.x,ptnew_2-#.y);
if(|pointc|<=fval+0.5,if(col_4<=1,col=(0.3,0,0.3,1)));
col
); //end colorplot
colorplot((0,0),(1024,0),"aktcanvas",
col=imagergba((0,0),(1024,0),"aktcanvas",#,interpolate->true);
if(col_4<1,
count=0;
list=[[1,0],[0,1],[-1,0],[0,-1]];
repeat(4,i,
coln=imagergba((0,0),(1024,0),"aktcanvas",#+list_i,interpolate->true);
if(coln_4>=1,count=count+1);
);//end repeat
if(count>=2,
col=(0.3,0,0.3,0.9);
);//end if count
);//end if col
col
);//end colorplot
colorplot((0,0),(1024,0),"aktcanvas",
col=imagergba((0,0),(1024,0),"aktcanvas",#,interpolate->true);
if(col_4<0.9,
count=0;
list=[[1,0],[0,1],[-1,0],[0,-1]];
repeat(4,i,
coln=imagergba((0,0),(1024,0),"aktcanvas",#+list_i,interpolate->true);
if(coln_4>=0.9,count=count+1);
);//end repeat
if(count>=2,
col=(0.3,0,0.3,0.8);
);//end if count
);//end if col
col
);//end colorplot
);//end doorna
[xold,equicount,equicount2, lastmat]
);//end drawtocanvas
list=[];
repeat(8,
list=concat(list,[[cos((#-1)/8*2*pi),sin((#-1)/8*2*pi)]]);
);
repeat(8,
list=concat(list,[[2*cos((#-1)/8*2*pi),2*sin((#-1)/8*2*pi)]]);
);
listj=[];
repeat(8,
listj=concat(listj,[[cos((#+3)/8*2*pi),sin((#+3)/8*2*pi)]]);
);
repeat(8,
listj=concat(listj,[[2*cos((#+3)/8*2*pi),2*sin((#+3)/8*2*pi)]]);
);
averpos(p,which):=(
pointa=(0,0);
count=0;
pointret=(0,0,0,0);
if(which==0,
pdir=expvel(imagergba((0,0),(1024,0),"ptcanvas",p, interpolate->false),scvel,base);
mpdir=expmp(imagergba((0,0),(1024,0),"mpcanvas",p, interpolate->false),scvel,base);
,
pdir=expvel(imagergba((0,0),(1024,0),"ptcanvas2",p, interpolate->false),scvel,base);
mpdir=expmp(imagergba((0,0),(1024,0),"mpcanvas2",p, interpolate->false),scvel,base);
);//end if which
repeat(16,l,
if(which==0,
pt=expvel(imagergba((0,0),(1024,0),"ptcanvas",p+list_l, interpolate->false),scvel,base);
hpt=expmp(imagergba((0,0),(1024,0),"mpcanvas",p+list_l, interpolate->false),scvel,base);
,
pt=expvel(imagergba((0,0),(1024,0),"ptcanvas2",p+list_l, interpolate->false),scvel,base);
hpt=expmp(imagergba((0,0),(1024,0),"mpcanvas2",p+list_l, interpolate->false),scvel,base);
);//end which
if(hpt_4>0,
if(abs(hpt_1-mpdir_1)>imratio*16,
if(hpt_1>mpdir_1, pa1=pt_1-imratio*32 , pa1=pt_1+imratio*32 );
, pa1=pt_1 ); //end if abs
pa2=pt_2;
pointa=pointa+(pa1,pa2);
count=count+1
);//end if hpt
);//end repeat
pointpro=1/count*pointa;
pointret=compvel((pointpro_1,pointpro_2,0,1),scvel,base);
if(count<16,
if(which==0,
pmp=expmpequi(imagergba((0,0),(1024,0),"equicanvas", p, interpolate->false),base);
,
pmp=expmpequi(imagergba((0,0),(1024,0),"equicanvas2", p, interpolate->false),base);
);
fl=pmp_2*256+pmp_1;
pointa=[0,0];
count=0;
if(which==0,
cent=expmp(imagergba((0,0),(1024,0),"mpcanvas", p, interpolate->false),scvel,base);
,
cent=expmp(imagergba((0,0),(1024,0),"mpcanvas2", p, interpolate->false),scvel,base);
);
ocent=[cent_1,cent_2];
repeat(8,i,
if(which==0,
lpt=expvel(imagergba((0,0),(1024,0),"ptcanvas",p+list_i, interpolate->false),scvel,base);
lhpt=expmp(imagergba((0,0),(1024,0),"mpcanvas",p+list_i, interpolate->false),scvel,base);
,
lpt=expvel(imagergba((0,0),(1024,0),"ptcanvas2",p+list_i, interpolate->false),scvel,base);
lhpt=expmp(imagergba((0,0),(1024,0),"mpcanvas2",p+list_i, interpolate->false),scvel,base);
);//end which
if(lhpt_4>0,
if(abs(lhpt_1-mpdir_1)>imratio*16,
if(lhpt_1>mpdir_1, pa1=lpt_1-imratio*32 , pa1=lpt_1+imratio*32 );
, pa1=lpt_1 ); //end if abs
pa2=lpt_2;
pointa=pointa+(pa1,pa2);
count=count+1;
);//if lhpt_4>0
if(lhpt_4<=0,
if(which==0,equicompare=equicount;,equicompare=equicount2;);
if(1<fl & fl<equicompare,
if(which==0,
lptn=expvel(imagergba((0,0),(1024,0),"ptcanvas",p+listj_i, interpolate->false),scvel,base);
lhptn=expmp(imagergba((0,0),(1024,0),"mpcanvas",p+listj_i, interpolate->false),scvel,base);
,
lptn=expvel(imagergba((0,0),(1024,0),"ptcanvas2",p+listj_i, interpolate->false),scvel,base);
lhptn=expmp(imagergba((0,0),(1024,0),"mpcanvas2",p+listj_i, interpolate->false),scvel,base);
);//end which
if(lhptn_4>0,
if(abs(lhptn_1-mpdir_1)>imratio*16,
if(lhptn_1>mpdir_1, pa1=lptn_1-imratio*32 , pa1=lptn_1+imratio*32 );
, pa1=lptn_1 ); //end if abs
pa2=lptn_2;
if(pa2>16,
pa2=32+(32-pa2);
,
pa2=0-pa2;
);
pointa=pointa+(pa1,pa2);
count=count+1;
);//end if lhptn_4
,
if(changecanvas==1,
if(which==0,
compareval=1;
,
compareval=equicount2;
);
if(fl==compareval,
if(which==0,
retmpim=expvelnew(imagergba((0,0),(1024,0),"mpimcanvas",p, interpolate->false),scvelnew,base);
retrad=expmpequi(imagergba((0,0),(1024,0),"radcanvas",p, interpolate->false),base);
cent=expmp(imagergba((0,0),(1024,0),"mpcanvas", p, interpolate->false),scvel,base);
,
retmpim=expvelnew(imagergba((0,0),(1024,0),"mpimcanvas2",p, interpolate->false),scvelnew,base);
retrad=expmpequi(imagergba((0,0),(1024,0),"radcanvas2",p, interpolate->false),base);
cent=expmp(imagergba((0,0),(1024,0),"mpcanvas2", p, interpolate->false),scvel,base);
);//end which
smid=[retmpim_1,retmpim_2];
srad=retrad_1+1/100*retrad_2;
ocent=[cent_1,cent_2];
p1=p+list_i;
inv=circinverse(p1,smid,srad);
if(which==0,
ret=expvel(imagergba((0,0),(1024,0),"ptcanvas",inv, interpolate->false),scvel,base);
mpret=expmp(imagergba((0,0),(1024,0),"mpcanvas",inv, interpolate->false),scvel,base);
,
ret=expvel(imagergba((0,0),(1024,0),"ptcanvas2",inv, interpolate->false),scvel,base);
mpret=expmp(imagergba((0,0),(1024,0),"mpcanvas2",inv, interpolate->false),scvel,base);
);//end which
oinv=[ret_1,ret_2];
if(abs(mpret_1-cent_1)>imratio*16,
if(mpret_1>cent_1, pa1=oinv_1-imratio*32 , pa1=oinv_1+imratio*32 );
, pa1=oinv_1 ); //end if abs
pa2=max(min(oinv_2,32),0);
oinvn=(pa1,pa2);
if(|oinvn-ocent|<=16,
opt=circinverse(oinvn,ocent,16);
pointa=pointa+opt;
count=count+1;
);
,
if(which==0,
overlappt=imagergba((0,0),(1024,0),"overlapcanvas",p+list_i, interpolate->false);
,
overlappt=imagergba((0,0),(1024,0),"overlapcanvas2",p+list_i, interpolate->false);
);//end which
if(overlappt_4>0,
if(which==0,
lpt=expvel(imagergba((0,0),(1024,0),"ptcanvas2",p+list_i, interpolate->false),scvel,base);
lhpt=expmp(imagergba((0,0),(1024,0),"mpcanvas2",p+list_i, interpolate->false),scvel,base);
,
lpt=expvel(imagergba((0,0),(1024,0),"ptcanvas",p+list_i, interpolate->false),scvel,base);
lhpt=expmp(imagergba((0,0),(1024,0),"mpcanvas",p+list_i, interpolate->false),scvel,base);
);//end which
if(lhpt_4>0,
if(abs(lhpt_1-mpdir_1)>imratio*16,
if(lhpt_1>mpdir_1, pa1=lpt_1-imratio*32 , pa1=lpt_1+imratio*32 );
, pa1=lpt_1 ); //end if abs
pa2=lpt_2;
pointa=pointa+(pa1,pa2);
count=count+1;
);//if lhpt_4>0
,
if(which==0,
lptn=expvel(imagergba((0,0),(1024,0),"ptcanvas",p+listj_i, interpolate->false),scvel,base);
lhptn=expmp(imagergba((0,0),(1024,0),"mpcanvas",p+listj_i, interpolate->false),scvel,base);
,
lptn=expvel(imagergba((0,0),(1024,0),"ptcanvas2",p+listj_i, interpolate->false),scvel,base);
lhptn=expmp(imagergba((0,0),(1024,0),"mpcanvas2",p+listj_i, interpolate->false),scvel,base);
);//end which
if(lhptn_4>0,
if(abs(lhptn_1-mpdir_1)>imratio*16,
if(lhptn_1>mpdir_1, pa1=lptn_1-imratio*32 , pa1=lptn_1+imratio*32 );
, pa1=lptn_1 ); //end if abs
pa2=lptn_2;
if(pa2>16,
pa2=32+(32-pa2);
,
pa2=0-pa2;
);
opt=(pa1,pa2);
pointa=pointa+opt;
count=count+1;
,
if(which==0,
overlappth=imagergba((0,0),(1024,0),"overlapcanvas",p+listj_i, interpolate->false);
,
overlappth=imagergba((0,0),(1024,0),"overlapcanvas2",p+listj_i, interpolate->false);
);//end which
if(overlappth_4>0,
if(which==0,
lptn=expvel(imagergba((0,0),(1024,0),"ptcanvas2",p+listj_i, interpolate->false),scvel,base);
lhptn=expmp(imagergba((0,0),(1024,0),"mpcanvas2",p+listj_i, interpolate->false),scvel,base);
,
lptn=expvel(imagergba((0,0),(1024,0),"ptcanvas",p+listj_i, interpolate->false),scvel,base);
lhptn=expmp(imagergba((0,0),(1024,0),"mpcanvas",p+listj_i, interpolate->false),scvel,base);
);//end which
if(lhptn_4>0,
if(abs(lhptn_1-mpdir_1)>imratio*16,
if(lhptn_1>mpdir_1, pa1=lptn_1-imratio*32 , pa1=lptn_1+imratio*32 );
, pa1=lptn_1 ); //end if abs
pa2=lptn_2;
if(pa2>16,
pa2=32+(32-pa2);
,
pa2=0-pa2;
);
opt=(pa1,pa2);
pointa=pointa+opt;
count=count+1;
);//end if lhptn_4
);//end if overlappth_4
);//end if lhptn_4>0
);//end if overlappt_4
);//end if fl 1 oder equicount2
,
retmpim=expvelnew(imagergba((0,0),(1024,0),"mpimcanvas",p, interpolate->false),scvelnew,base);
smid=[retmpim_1,retmpim_2];
retrad=expmpequi(imagergba((0,0),(1024,0),"radcanvas",p, interpolate->false),base);
srad=retrad_1+1/100*retrad_2;
cent=expmp(imagergba((0,0),(1024,0),"mpcanvas", p, interpolate->false),scvel,base);
ocent=[cent_1,cent_2];
p1=p+list_i;
inv=circinverse(p1,smid,srad);
ret=expvel(imagergba((0,0),(1024,0),"ptcanvas",inv, interpolate->false),scvel,base);
oinv=[ret_1,ret_2];
mpret=expmp(imagergba((0,0),(1024,0),"mpcanvas",inv, interpolate->false),scvel,base);
if(abs(mpret_1-cent_1)>imratio*16,
if(mpret_1>cent_1, pa1=oinv_1-imratio*32 , pa1=oinv_1+imratio*32 );
, pa1=oinv_1 ); //end if abs
pa2=max(min(oinv_2,32),0);
oinvn=(pa1,pa2);
if(|oinvn-ocent|<=16,
opt=circinverse(oinvn,ocent,16);
pointa=pointa+opt;
count=count+1;
);
);//end if changecanvas
);//end if fl
);//end if lhpt
);//end repeat
pointpro=1/count*pointa;
pointret=compvel((pointpro_1,pointpro_2,0,1),scvel,base);
); //end if count<16
pointret
);//averpos
circinverse(ptinv,middle,radius):=(
distnew=(radius*radius)/|ptinv-middle|;
vec=ptinv-middle;
vec=1/|vec|*vec;
inverse=(middle+distnew*vec).xy;
inverse
);//end circinverse
conftestdevi(p,mpdir,which):=(
col=(0,0,0,0);
count=0;
if(which==0,
pos0=expvel(imagergba((0,0),(1024,0),"ptcanvas",p),scvel,base);
pos1=expvel(imagergba((0,0),(1024,0),"ptcanvas",p+[1,0]),scvel,base);
ref1=expmp(imagergba((0,0),(1024,0),"mpcanvas",p+[1,0]),scvel,base);
if(ref1_4>0,count=count+1;
, ref1overlap=imagergba((0,0),(1024,0),"overlapcanvas",p+[1,0]);
if(ref1overlap_4>0,