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// Create a tiling named name from picture pic
// with optional left-bottom margin lb and right-top margin rt.
frame tiling(string name, picture pic, pair lb=0, pair rt=0)
{
frame tiling;
frame f=pic.fit(identity());
pair pmin=min(f)-lb;
pair pmax=max(f)+rt;
string s="%.6f";
postscript(tiling,"<< /PaintType 1 /PatternType 1 /TilingType 1
/BBox ["+format(s,pmin.x,"C")+" "+format(s,pmin.y,"C")+" "+
format(s,pmax.x,"C")+" "+format(s,pmax.y,"C")+"]
/XStep "+format(s,pmax.x-pmin.x,"C")+"
/YStep "+format(s,pmax.y-pmin.y,"C")+"
/PaintProc {pop");
begingroup(tiling);
add(tiling,f);
endgroup(tiling);
postscript(tiling,"} >>
matrix makepattern
/"+name+" exch def");
return tiling;
}
// Add to frame preamble a tiling name constructed from picture pic
// with optional left-bottom margin lb and right-top margin rt.
void add(string name, picture pic, pair lb=0, pair rt=0)
{
add(currentpatterns,tiling(name,pic,lb,rt));
}
picture tile(real Hx=5mm, real Hy=0, pen p=currentpen,
filltype filltype=NoFill)
{
picture tiling;
if(Hy == 0) Hy=Hx;
path tile=box((0,0),(Hx,Hy));
tiling.add(new void (frame f, transform t) {
filltype.fill(f,t*tile,p);
});
clip(tiling,tile);
return tiling;
}
picture checker(real Hx=5mm, real Hy=0, pen p=currentpen)
{
picture tiling;
if(Hy == 0) Hy=Hx;
path tile=box((0,0),(Hx,Hy));
fill(tiling,tile,p);
fill(tiling,shift(Hx,Hy)*tile,p);
clip(tiling,box((0,0),(2Hx,2Hy)));
return tiling;
}
picture brick(real Hx=5mm, real Hy=0, pen p=currentpen)
{
picture tiling;
if(Hy == 0) Hy=Hx/2;
path tile=box((0,0),(Hx,Hy));
draw(tiling,tile,p);
draw(tiling,(Hx/2,Hy)--(Hx/2,2Hy),p);
draw(tiling,(0,2Hy)--(Hx,2Hy),p);
clip(tiling,box((0,0),(Hx,2Hy)));
return tiling;
}
real hatchepsilon=1e-4;
picture hatch(real H=5mm, pair dir=NE, pen p=currentpen)
{
picture tiling;
real theta=angle(dir);
real s=sin(theta);
real c=cos(theta);
if(abs(s) <= hatchepsilon) {
path g=(0,0)--(H,0);
draw(tiling,g,p);
draw(tiling,shift(0,H)*g,p);
clip(tiling,scale(H)*unitsquare);
} else if(abs(c) <= hatchepsilon) {
path g=(0,0)--(0,H);
draw(tiling,g,p);
draw(tiling,shift(H,0)*g,p);
clip(tiling,scale(H)*unitsquare);
} else {
real h=H/s;
real y=H/c;
path g=(0,0)--(h,y);
draw(tiling,g,p);
draw(tiling,shift(-h/2,y/2)*g,p);
draw(tiling,shift(h/2,-y/2)*g,p);
clip(tiling,box((0,0),(h,y)));
}
return tiling;
}
picture crosshatch(real H=5mm, pen p=currentpen)
{
picture tiling;
add(tiling,hatch(H,p));
add(tiling,shift(H*sqrt(2))*rotate(90)*hatch(H,p));
return tiling;
}
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