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+// A transformation that bends points along a path
+transform3 bend(path3 g, real t)
+{
+ triple dir=dir(g,t);
+ triple a=point(g,0), b=postcontrol(g,0);
+ triple c=precontrol(g,1), d=point(g,1);
+ triple dir1=b-a;
+ triple dir2=c-b;
+ triple dir3=d-c;
+
+ triple u = unit(cross(dir1,dir3));
+ real eps=1000*realEpsilon;
+ if(abs(u) < eps) {
+ u = unit(cross(dir1,dir2));
+ if(abs(u) < eps) {
+ u = unit(cross(dir2,dir3));
+ if(abs(u) < eps)
+ // linear segment: use any direction perpendicular to initial direction
+ u = perp(dir1);
+ }
+ }
+ u = unit(perp(u,dir));
+
+ triple w=cross(dir,u);
+ triple q=point(g,t);
+ return new real[][] {
+ {u.x,w.x,dir.x,q.x},
+ {u.y,w.y,dir.y,q.y},
+ {u.z,w.z,dir.z,q.z},
+ {0,0,0,1}
+ };
+}
+
+// bend a point along a path; assumes that p.z is in [0,scale]
+triple bend(triple p, path3 g, real scale)
+{
+ return bend(g,arctime(g,arclength(g)+p.z-scale))*(p.x,p.y,0);
+}
+
+void bend(surface s, path3 g, real L)
+{
+ for(patch p : s.s) {
+ for(int i=0; i < 4; ++i) {
+ for(int j=0; j < 4; ++j) {
+ p.P[i][j]=bend(p.P[i][j],g,L);
+ }
+ }
+ }
+}
+
+// Refine a noncyclic path3 g so that it approaches its endpoint in
+// geometrically spaced steps.
+path3 approach(path3 p, int n, real radix=3)
+{
+ guide3 G;
+ real L=length(p);
+ real tlast=0;
+ real r=1/radix;
+ for(int i=1; i < n; ++i) {
+ real t=L*(1-r^i);
+ G=G&subpath(p,tlast,t);
+ tlast=t;
+ }
+ return G&subpath(p,tlast,L);
+}
+
+struct arrowhead3
+{
+ arrowhead arrowhead2=DefaultHead;
+ real size(pen p)=arrowsize;
+ real arcsize(pen p)=arcarrowsize;
+ real gap=1;
+ real size;
+ bool splitpath=false;
+
+ surface head(path3 g, position position=EndPoint,
+ pen p=currentpen, real size=0, real angle=arrowangle,
+ filltype filltype=null, bool forwards=true,
+ projection P=currentprojection);
+
+ static surface surface(path3 g, position position, real size,
+ path[] h, pen p, filltype filltype,
+ triple normal, projection P) {
+ bool relative=position.relative;
+ real position=position.position.x;
+ if(relative) position=reltime(g,position);
+ path3 r=subpath(g,position,0);
+ path3 s=subpath(r,arctime(r,size),0);
+ if(filltype == null) filltype=FillDraw(p);
+ bool draw=filltype.type != filltype.Fill;
+ triple v=point(s,length(s));
+ triple N=normal == O ? P.normal : normal;
+ triple w=unit(v-point(s,0));
+ transform3 t=transform3(w,unit(cross(w,N)));
+ path3[] H=t*path3(h);
+ surface s;
+ real width=linewidth(p);
+ if(filltype != NoFill && filltype.type != filltype.UnFill &&
+ filltype.type != filltype.Draw) {
+ triple n=0.5*width*unit(t*Z);
+ s=surface(shift(n)*H,planar=true);
+ s.append(surface(shift(-n)*H,planar=true));
+ if(!draw)
+ for(path g : h)
+ s.append(shift(-n)*t*extrude(g,width*Z));
+ }
+ if(draw)
+ for(path3 g : H) {
+ tube T=tube(g,width);
+ for(surface S : T.s)
+ s.append(S);
+ }
+ return shift(v)*s;
+ }
+
+ static path project(path3 g, bool forwards, projection P) {
+ path h=project(forwards ? g : reverse(g),P);
+ return shift(-point(h,length(h)))*h;
+ }
+
+ static path[] align(path H, path h) {
+ static real fuzz=1000*realEpsilon;
+ real[][] t=intersections(H,h,fuzz*max(abs(max(h)),abs(min(h))));
+ return t.length >= 2 ?
+ rotate(-degrees(point(H,t[0][0])-point(H,t[1][0]),warn=false))*H : H;
+ }
+}
+
+arrowhead3 DefaultHead3;
+DefaultHead3.head=new surface(path3 g, position position=EndPoint,
+ pen p=currentpen, real size=0,
+ real angle=arrowangle, filltype filltype=null,
+ bool forwards=true,
+ projection P=currentprojection)
+{
+ if(size == 0) size=DefaultHead3.size(p);
+ bool relative=position.relative;
+ real position=position.position.x;
+ if(relative) position=reltime(g,position);
+
+ path3 r=subpath(g,position,0);
+ path3 s=subpath(r,arctime(r,size),0);
+ int n=length(s);
+ bool straight1=n == 1 && straight(g,0);
+ real aspect=Tan(angle);
+ real width=size*aspect;
+ surface head;
+ if(straight1) {
+ triple v=point(s,0);
+ triple u=point(s,1)-v;
+ return shift(v)*align(unit(u))*scale(width,width,size)*unitsolidcone;
+ } else {
+ real remainL=size;
+ bool first=true;
+ for(int i=0; i < n; ++i) {
+ path3 q=subpath(s,i,i+1);
+ if(remainL > 0) {
+ real l=arclength(q);
+ real w=remainL*aspect;
+ surface segment=scale(w,w,l)*unitcylinder;
+ if(first) { // add base
+ first=false;
+ segment.append(scale(w,w,1)*unitdisk);
+ }
+ for(patch p : segment.s) {
+ for(int i=0; i < 4; ++i) {
+ for(int j=0; j < 4; ++j) {
+ real k=1-p.P[i][j].z/remainL;
+ p.P[i][j]=bend((k*p.P[i][j].x,k*p.P[i][j].y,p.P[i][j].z),q,l);
+ }
+ }
+ }
+ head.append(segment);
+ remainL -= l;
+ }
+ }
+ }
+ return head;
+};
+
+arrowhead3 HookHead3(real dir=arrowdir, real barb=arrowbarb)
+{
+ arrowhead3 a;
+ a.head=new surface(path3 g, position position=EndPoint,
+ pen p=currentpen, real size=0, real angle=arrowangle,
+ filltype filltype=null, bool forwards=true,
+ projection P=currentprojection) {
+ if(size == 0) size=a.size(p);
+
+ bool relative=position.relative;
+ real position=position.position.x;
+ if(relative) position=reltime(g,position);
+
+ path3 r=subpath(g,position,0);
+ path3 s=subpath(r,arctime(r,size),0);
+ bool straight1=length(s) == 1 && straight(g,0);
+ path3 H=path3(HookHead(dir,barb).head((0,0)--(0,size),p,size,angle),
+ YZplane);
+ surface head=surface(O,reverse(approach(subpath(H,1,0),7,1.5))&
+ approach(subpath(H,1,2),4,2),Z);
+
+ if(straight1) {
+ triple v=point(s,0);
+ triple u=point(s,1)-v;
+ return shift(v)*align(unit(u))*head;
+ } else {
+ bend(head,s,size);
+ return head;
+ }
+ };
+ a.arrowhead2=HookHead;
+ a.gap=0.7;
+ return a;
+}
+arrowhead3 HookHead3=HookHead3();
+
+arrowhead3 TeXHead3;
+TeXHead3.size=TeXHead.size;
+TeXHead3.arcsize=TeXHead.size;
+TeXHead3.arrowhead2=TeXHead;
+TeXHead3.head=new surface(path3 g, position position=EndPoint,
+ pen p=currentpen, real size=0, real angle=arrowangle,
+ filltype filltype=null, bool forwards=true,
+ projection P=currentprojection)
+{
+ real texsize=TeXHead3.size(p);
+ if(size == 0) size=texsize;
+ bool relative=position.relative;
+ real position=position.position.x;
+ if(relative) position=reltime(g,position);
+
+ path3 r=subpath(g,position,0);
+ path3 s=subpath(r,arctime(r,size),0);
+ bool straight1=length(s) == 1 && straight(g,0);
+
+ surface head=surface(O,approach(subpath(path3(TeXHead.head((0,0)--(0,1),p,
+ size),
+ YZplane),5,0),8,1.5),Z);
+ if(straight1) {
+ triple v=point(s,0);
+ triple u=point(s,1)-v;
+ return shift(v)*align(unit(u))*head;
+ } else {
+ path3 s=subpath(r,arctime(r,size/texsize*arrowsize(p)),0);
+ bend(head,s,size);
+ return head;
+ }
+};
+
+path3 arrowbase(path3 r, triple y, real t, real size)
+{
+ triple perp=2*size*perp(dir(r,t));
+ return size == 0 ? y : y+perp--y-perp;
+}
+
+arrowhead3 DefaultHead2(triple normal=O) {
+ arrowhead3 a;
+ a.head=new surface(path3 g, position position=EndPoint,
+ pen p=currentpen, real size=0,
+ real angle=arrowangle,
+ filltype filltype=null, bool forwards=true,
+ projection P=currentprojection) {
+ if(size == 0) size=a.size(p);
+ path h=a.project(g,forwards,P);
+ a.size=min(size,arclength(h));
+ path[] H=a.align(DefaultHead.head(h,p,size,angle),h);
+ H=forwards ? yscale(-1)*H : H;
+ return a.surface(g,position,size,H,p,filltype,normal,P);
+ };
+ a.gap=1.005;
+ return a;
+}
+arrowhead3 DefaultHead2=DefaultHead2();
+
+arrowhead3 HookHead2(real dir=arrowdir, real barb=arrowbarb, triple normal=O)
+{
+ arrowhead3 a;
+ a.head=new surface(path3 g, position position=EndPoint,
+ pen p=currentpen, real size=0, real angle=arrowangle,
+ filltype filltype=null, bool forwards=true,
+ projection P=currentprojection) {
+ if(size == 0) size=a.size(p);
+ path h=a.project(g,forwards,P);
+ a.size=min(size,arclength(h));
+ path[] H=a.align(HookHead.head(h,p,size,angle),h);
+ H=forwards ? yscale(-1)*H : H;
+ return a.surface(g,position,size,H,p,filltype,normal,P);
+ };
+ a.arrowhead2=HookHead;
+ a.gap=1.005;
+ a.splitpath=true;
+ return a;
+}
+arrowhead3 HookHead2=HookHead2();
+
+arrowhead3 TeXHead2(triple normal=O) {
+ arrowhead3 a;
+ a.head=new surface(path3 g, position position=EndPoint,
+ pen p=currentpen, real size=0,
+ real angle=arrowangle, filltype filltype=null,
+ bool forwards=true, projection P=currentprojection) {
+ if(size == 0) size=a.size(p);
+ path h=a.project(g,forwards,P);
+ a.size=min(size,arclength(h));
+ h=rotate(-degrees(dir(h,length(h)),warn=false))*h;
+ path[] H=TeXHead.head(h,p,size,angle);
+ H=forwards ? yscale(-1)*H : H;
+ return a.surface(g,position,size,H,p,
+ filltype == null ? TeXHead.defaultfilltype(p) : filltype,
+ normal,P);
+ };
+ a.arrowhead2=TeXHead;
+ a.size=TeXHead.size;
+ a.gap=1.005;
+ return a;
+}
+arrowhead3 TeXHead2=TeXHead2();
+
+private real position(position position, real size, path3 g, bool center)
+{
+ bool relative=position.relative;
+ real position=position.position.x;
+ if(relative) {
+ position *= arclength(g);
+ if(center) position += 0.5*size;
+ position=arctime(g,position);
+ } else if(center)
+ position=arctime(g,arclength(subpath(g,0,position))+0.5*size);
+ return position;
+}
+
+void drawarrow(picture pic, arrowhead3 arrowhead=DefaultHead3,
+ path3 g, material p=currentpen, material arrowheadpen=nullpen,
+ real size=0, real angle=arrowangle, position position=EndPoint,
+ filltype filltype=null, bool forwards=true,
+ margin3 margin=NoMargin3, bool center=false, light light=nolight,
+ light arrowheadlight=currentlight,
+ projection P=currentprojection)
+{
+ pen q=(pen) p;
+ if(filltype != null) {
+ if(arrowheadpen == nullpen && filltype != null)
+ arrowheadpen=filltype.fillpen;
+ if(arrowheadpen == nullpen && filltype != null)
+ arrowheadpen=filltype.drawpen;
+ }
+ if(arrowheadpen == nullpen) arrowheadpen=p;
+ if(size == 0) size=arrowhead.size(q);
+ size=min(arrowsizelimit*arclength(g),size);
+ real position=position(position,size,g,center);
+
+ g=margin(g,q).g;
+ int L=length(g);
+ if(!forwards) {
+ g=reverse(g);
+ position=L-position;
+ }
+ path3 r=subpath(g,position,0);
+ size=min(arrowsizelimit*arclength(r),size);
+ surface head=arrowhead.head(g,position,q,size,angle,filltype,forwards,P);
+ if(arrowhead.size > 0) size=arrowhead.size;
+ bool endpoint=position > L-sqrtEpsilon;
+ if(arrowhead.splitpath || endpoint) {
+ if(position > 0) {
+ real Size=size*arrowhead.gap;
+ draw(pic,subpath(r,arctime(r,Size),length(r)),p,light);
+ }
+ if(!endpoint)
+ draw(pic,subpath(g,position,L),p,light);
+ } else draw(pic,g,p,light);
+ draw(pic,head,arrowheadpen,arrowheadlight);
+}
+
+void drawarrow2(picture pic, arrowhead3 arrowhead=DefaultHead3,
+ path3 g, material p=currentpen, material arrowheadpen=nullpen,
+ real size=0, real angle=arrowangle, filltype filltype=null,
+ margin3 margin=NoMargin3, light light=nolight,
+ light arrowheadlight=currentlight,
+ projection P=currentprojection)
+{
+ pen q=(pen) p;
+ if(filltype != null) {
+ if(arrowheadpen == nullpen && filltype != null)
+ arrowheadpen=filltype.fillpen;
+ if(arrowheadpen == nullpen && filltype != null)
+ arrowheadpen=filltype.drawpen;
+ }
+ if(arrowheadpen == nullpen) arrowheadpen=p;
+ if(size == 0) size=arrowhead.size(q);
+ g=margin(g,q).g;
+ size=min(arrow2sizelimit*arclength(g),size);
+
+ path3 r=reverse(g);
+ int L=length(g);
+ real Size=size*arrowhead.gap;
+ draw(pic,subpath(r,arctime(r,Size),L-arctime(g,Size)),p,light);
+ draw(pic,arrowhead.head(g,L,q,size,angle,filltype,forwards=true,P),
+ arrowheadpen,arrowheadlight);
+ draw(pic,arrowhead.head(r,L,q,size,angle,filltype,forwards=false,P),
+ arrowheadpen,arrowheadlight);
+}
+
+// Add to picture an estimate of the bounding box contribution of arrowhead
+// using the local slope at endpoint.
+void addArrow(picture pic, arrowhead3 arrowhead, path3 g, pen p, real size,
+ real angle, filltype filltype, real position)
+{
+ triple v=point(g,position);
+ path3 g=v-(size+linewidth(p))*dir(g,position)--v;
+ surface s=arrowhead.head(g,position,p,size,angle);
+ if(s.s.length > 0) {
+ pic.addPoint(v,min(s)-v);
+ pic.addPoint(v,max(s)-v);
+ } else pic.addPoint(v);
+}
+
+picture arrow(arrowhead3 arrowhead=DefaultHead3,
+ path3 g, material p=currentpen, material arrowheadpen=p,
+ real size=0, real angle=arrowangle,
+ filltype filltype=null, position position=EndPoint,
+ bool forwards=true, margin3 margin=NoMargin3,
+ bool center=false, light light=nolight,
+ light arrowheadlight=currentlight)
+{
+ pen q=(pen) p;
+ if(size == 0) size=arrowhead.size(q);
+ picture pic;
+ if(is3D())
+ pic.add(new void(frame f, transform3 t, picture pic2, projection P) {
+ picture opic;
+ drawarrow(opic,arrowhead,t*g,p,arrowheadpen,size,angle,position,
+ filltype,forwards,margin,center,light,arrowheadlight,P);
+ add(f,opic.fit3(identity4,pic2,P));
+ });
+
+ addPath(pic,g,q);
+
+ real position=position(position,size,g,center);
+ path3 G;
+ if(!forwards) {
+ G=reverse(g);
+ position=length(g)-position;
+ } else G=g;
+ addArrow(pic,arrowhead,G,q,size,angle,filltype,position);
+
+ return pic;
+}
+
+picture arrow2(arrowhead3 arrowhead=DefaultHead3,
+ path3 g, material p=currentpen, material arrowheadpen=p,
+ real size=0, real angle=arrowangle, filltype filltype=null,
+ margin3 margin=NoMargin3, light light=nolight,
+ light arrowheadlight=currentlight)
+{
+ pen q=(pen) p;
+ if(size == 0) size=arrowhead.size(q);
+ picture pic;
+
+ if(is3D())
+ pic.add(new void(frame f, transform3 t, picture pic2, projection P) {
+ picture opic;
+ drawarrow2(opic,arrowhead,t*g,p,arrowheadpen,size,angle,filltype,
+ margin,light,arrowheadlight,P);
+ add(f,opic.fit3(identity4,pic2,P));
+ });
+
+ addPath(pic,g,q);
+
+ int L=length(g);
+ addArrow(pic,arrowhead,g,q,size,angle,filltype,L);
+ addArrow(pic,arrowhead,reverse(g),q,size,angle,filltype,L);
+
+ return pic;
+}
+
+void add(picture pic, arrowhead3 arrowhead, real size, real angle,
+ filltype filltype, position position, material arrowheadpen,
+ path3 g, material p, bool forwards=true, margin3 margin,
+ bool center=false, light light, light arrowheadlight)
+{
+ add(pic,arrow(arrowhead,g,p,arrowheadpen,size,angle,filltype,position,
+ forwards,margin,center,light,arrowheadlight));
+ if(!is3D()) {
+ pic.add(new void(frame f, transform3 t, picture pic, projection P) {
+ if(pic != null) {
+ pen q=(pen) p;
+ path3 G=t*g;
+ marginT3 m=margin(G,q);
+ add(pic,arrow(arrowhead.arrowhead2,project(G,P),q,size,angle,
+ filltype == null ?
+ arrowhead.arrowhead2.defaultfilltype
+ ((pen) arrowheadpen) : filltype,position,
+ forwards,TrueMargin(m.begin,m.end),center));
+ }
+ },true);
+ }
+}
+
+void add2(picture pic, arrowhead3 arrowhead, real size, real angle,
+ filltype filltype, material arrowheadpen, path3 g, material p,
+ margin3 margin, light light, light arrowheadlight)
+{
+ add(pic,arrow2(arrowhead,g,p,arrowheadpen,size,angle,filltype,margin,light,
+ arrowheadlight));
+ if(!is3D()) {
+ pic.add(new void(frame f, transform3 t, picture pic, projection P) {
+ if(pic != null) {
+ pen q=(pen) p;
+ path3 G=t*g;
+ marginT3 m=margin(G,q);
+ add(pic,arrow2(arrowhead.arrowhead2,project(G,P),q,size,angle,
+ filltype == null ?
+ arrowhead.arrowhead2.defaultfilltype
+ ((pen) arrowheadpen) : filltype,
+ TrueMargin(m.begin,m.end)));
+ }
+ },true);
+ }
+}
+
+void bar(picture pic, triple a, triple d, triple perp=O,
+ material p=currentpen, light light=nolight)
+{
+ d *= 0.5;
+ perp *= 0.5;
+ pic.add(new void(frame f, transform3 t, picture pic2, projection P) {
+ picture opic;
+ triple A=t*a;
+ triple v=d == O ? abs(perp)*unit(cross(P.normal,perp)) : d;
+ draw(opic,A-v--A+v,p,light);
+ add(f,opic.fit3(identity4,pic2,P));
+ });
+ triple v=d == O ? cross(currentprojection.normal,perp) : d;
+ pen q=(pen) p;
+ triple m=min3(q);
+ triple M=max3(q);
+ pic.addPoint(a,-v-m);
+ pic.addPoint(a,-v+m);
+ pic.addPoint(a,v-M);
+ pic.addPoint(a,v+M);
+}
+
+picture bar(triple a, triple dir, triple perp=O, material p=currentpen)
+{
+ picture pic;
+ bar(pic,a,dir,perp,p);
+ return pic;
+}
+
+typedef bool arrowbar3(picture, path3, material, margin3, light, light);
+
+bool Blank(picture, path3, material, margin3, light, light)
+{
+ return false;
+}
+
+bool None(picture, path3, material, margin3, light, light)
+{
+ return true;
+}
+
+arrowbar3 BeginArrow3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arrowangle,
+ filltype filltype=null, position position=BeginPoint,
+ material arrowheadpen=nullpen)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin,
+ light light, light arrowheadlight) {
+ add(pic,arrowhead,size,angle,filltype,position,arrowheadpen,g,p,
+ forwards=false,margin,light,arrowheadlight);
+ return false;
+ };
+}
+
+arrowbar3 Arrow3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arrowangle,
+ filltype filltype=null, position position=EndPoint,
+ material arrowheadpen=nullpen)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin,
+ light light, light arrowheadlight) {
+ add(pic,arrowhead,size,angle,filltype,position,arrowheadpen,g,p,margin,
+ light,arrowheadlight);
+ return false;
+ };
+}
+
+arrowbar3 EndArrow3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arrowangle,
+ filltype filltype=null, position position=EndPoint,
+ material arrowheadpen=nullpen)=Arrow3;
+
+arrowbar3 MidArrow3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arrowangle,
+ filltype filltype=null, material arrowheadpen=nullpen)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin,
+ light light, light arrowheadlight) {
+ add(pic,arrowhead,size,angle,filltype,MidPoint,
+ arrowheadpen,g,p,margin,center=true,light,arrowheadlight);
+ return false;
+ };
+}
+
+arrowbar3 Arrows3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arrowangle,
+ filltype filltype=null, material arrowheadpen=nullpen)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin,
+ light light, light arrowheadlight) {
+ add2(pic,arrowhead,size,angle,filltype,arrowheadpen,g,p,margin,light,
+ arrowheadlight);
+ return false;
+ };
+}
+
+arrowbar3 BeginArcArrow3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arcarrowangle,
+ filltype filltype=null, position position=BeginPoint,
+ material arrowheadpen=nullpen)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin,
+ light light, light arrowheadlight) {
+ real size=size == 0 ? arrowhead.arcsize((pen) p) : size;
+ add(pic,arrowhead,size,angle,filltype,position,arrowheadpen,g,p,
+ forwards=false,margin,light,arrowheadlight);
+ return false;
+ };
+}
+
+arrowbar3 ArcArrow3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arcarrowangle,
+ filltype filltype=null, position position=EndPoint,
+ material arrowheadpen=nullpen)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin,
+ light light, light arrowheadlight) {
+ real size=size == 0 ? arrowhead.arcsize((pen) p) : size;
+ add(pic,arrowhead,size,angle,filltype,position,arrowheadpen,g,p,margin,
+ light,arrowheadlight);
+ return false;
+ };
+}
+
+arrowbar3 EndArcArrow3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arcarrowangle,
+ filltype filltype=null,
+ position position=EndPoint,
+ material arrowheadpen=nullpen)=ArcArrow3;
+
+
+arrowbar3 MidArcArrow3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arcarrowangle,
+ filltype filltype=null, material arrowheadpen=nullpen)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin,
+ light light, light arrowheadlight) {
+ real size=size == 0 ? arrowhead.arcsize((pen) p) : size;
+ add(pic,arrowhead,size,angle,filltype,MidPoint,arrowheadpen,g,p,margin,
+ center=true,light,arrowheadlight);
+ return false;
+ };
+}
+
+arrowbar3 ArcArrows3(arrowhead3 arrowhead=DefaultHead3,
+ real size=0, real angle=arcarrowangle,
+ filltype filltype=null, material arrowheadpen=nullpen)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin,
+ light light, light arrowheadlight) {
+ real size=size == 0 ? arrowhead.arcsize((pen) p) : size;
+ add2(pic,arrowhead,size,angle,filltype,arrowheadpen,g,p,margin,light,
+ arrowheadlight);
+ return false;
+ };
+}
+
+arrowbar3 BeginBar3(real size=0, triple dir=O)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin, light light,
+ light) {
+ real size=size == 0 ? barsize((pen) p) : size;
+ bar(pic,point(g,0),size*unit(dir),size*dir(g,0),p,light);
+ return true;
+ };
+}
+
+arrowbar3 Bar3(real size=0, triple dir=O)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin, light light,
+ light) {
+ int L=length(g);
+ real size=size == 0 ? barsize((pen) p) : size;
+ bar(pic,point(g,L),size*unit(dir),size*dir(g,L),p,light);
+ return true;
+ };
+}
+
+arrowbar3 EndBar3(real size=0, triple dir=O)=Bar3;
+
+arrowbar3 Bars3(real size=0, triple dir=O)
+{
+ return new bool(picture pic, path3 g, material p, margin3 margin, light light,
+ light) {
+ real size=size == 0 ? barsize((pen) p) : size;
+ BeginBar3(size,dir)(pic,g,p,margin,light,nolight);
+ EndBar3(size,dir)(pic,g,p,margin,light,nolight);
+ return true;
+ };
+}
+
+arrowbar3 BeginArrow3=BeginArrow3(),
+MidArrow3=MidArrow3(),
+Arrow3=Arrow3(),
+EndArrow3=Arrow3(),
+Arrows3=Arrows3(),
+BeginArcArrow3=BeginArcArrow3(),
+MidArcArrow3=MidArcArrow3(),
+ArcArrow3=ArcArrow3(),
+EndArcArrow3=ArcArrow3(),
+ArcArrows3=ArcArrows3(),
+BeginBar3=BeginBar3(),
+Bar3=Bar3(),
+EndBar3=Bar3(),
+Bars3=Bars3();