asymptote 2.00

git-svn-id: svn://tug.org/texlive/trunk@19235 c570f23f-e606-0410-a88d-b1316a301751

28 files changed, 450 insertions, 209 deletions

diff --git a/Master/texmf/asymptote/GUI/xasyVersion.py b/Master/texmf/asymptote/GUI/xasyVersion.py
index e10d8563c4c..01d9ae47f55 100755
--- a/Master/texmf/asymptote/GUI/xasyVersion.py
+++ b/Master/texmf/asymptote/GUI/xasyVersion.py
@@ -1,2 +1,2 @@
 #!/usr/bin/env python
-xasyVersion = "1.99"
+xasyVersion = "2.00"
diff --git a/Master/texmf/asymptote/asy-keywords.el b/Master/texmf/asymptote/asy-keywords.el
index d5d4a97fb87..d49d2af2bfe 100644
--- a/Master/texmf/asymptote/asy-keywords.el
+++ b/Master/texmf/asymptote/asy-keywords.el
@@ -2,7 +2,7 @@
 ;; This file is automatically generated by asy-list.pl.
 ;; Changes will be overwritten.
 ;;
-(defvar asy-keywords-version "1.99")
+(defvar asy-keywords-version "2.00")
 
 (defvar asy-keyword-name '(
 and controls tension atleast curl if else while for do return break continue struct typedef new access import unravel from include quote static public private restricted this explicit true false null cycle newframe operator ))
diff --git a/Master/texmf/asymptote/graph3.asy b/Master/texmf/asymptote/graph3.asy
index 9eee4209134..e588c8aa4d6 100644
--- a/Master/texmf/asymptote/graph3.asy
+++ b/Master/texmf/asymptote/graph3.asy
@@ -148,7 +148,7 @@ void labelaxis(picture pic, transform3 T, Label L, path3 g,
       add(f,F.fit3(identity4,pic2,P));
     },exact=false);
 
-  path3[] G=path3(texpath(L));
+  path3[] G=path3(texpath(L,bbox=true));
   if(G.length > 0) {
     G=L.align.is3D ? align(G,O,align,L.p) : L.T3*G;
     triple v=point(g,relative(L,g));
diff --git a/Master/texmf/asymptote/math.asy b/Master/texmf/asymptote/math.asy
index a684307e5a5..0dfddff7f2f 100644
--- a/Master/texmf/asymptote/math.asy
+++ b/Master/texmf/asymptote/math.asy
@@ -167,11 +167,11 @@ int unique(string[] a, string x) {
 }
 
 bool lexorder(pair a, pair b) {
-  return a.x < b.x || (a.x == b.x && a.y <= b.y);
+  return a.x < b.x || (a.x == b.x && a.y < b.y);
 }
 
 bool lexorder(triple a, triple b) {
-  return a.x < b.x || (a.x == b.x && (a.y < b.y || (a.y == b.y && a.z <= b.z)));
+  return a.x < b.x || (a.x == b.x && (a.y < b.y || (a.y == b.y && a.z < b.z)));
 }
 
 real[] zero(int n)
diff --git a/Master/texmf/asymptote/plain_Label.asy b/Master/texmf/asymptote/plain_Label.asy
index 4f9d9a20f11..86d11f8acc0 100644
--- a/Master/texmf/asymptote/plain_Label.asy
+++ b/Master/texmf/asymptote/plain_Label.asy
@@ -578,53 +578,100 @@ frame pack(pair align=2S ... object inset[])
   return F;
 }
 
-path[] texpath(Label L, bool tex=settings.tex != "none")
-{
-  static string[] stringcache;
-  static pen[] pencache;
-  static path[][] pathcache;
-  path[] g;
+path[] texpath(Label L, bool tex=settings.tex != "none", bool bbox=false)
+{
+  struct stringfont
+  {
+    string s;
+    real fontsize;
+    string font;
+
+    void operator init(Label L) 
+    {
+      s=L.s;
+      fontsize=fontsize(L.p);
+      font=font(L.p);
+    }
+
+    pen pen() {return fontsize(fontsize)+fontcommand(font);}
+  }
+  
+  bool lexorder(stringfont a, stringfont b) {
+    return a.s < b.s || (a.s == b.s && (a.fontsize < b.fontsize ||
+                                        (a.fontsize == b.fontsize &&
+                                         a.font < b.font)));
+  }
 
-  string s=L.s;
-  pen p=fontcommand(font(L.p))+fontsize(fontsize(L.p));
+  static stringfont[] stringcache;
+  static path[][] pathcache;
 
-  // PDF tex engines lose track of the baseline.
-  bool adjust=tex && basealign(L.p) == 1 && pdf();
-  if(adjust) p=p+basealign;
+  static stringfont[] stringlist;
+  static bool adjust[];
   
-  int k=0;
-  int i;
-  while((i=find(stringcache == s,++k)) >= 0) {
-    if(pencache[i] == p) {
-      g=pathcache[i];
-      break;
+  path[] G;
+
+  stringfont s=stringfont(L);
+  pen p=s.pen();
+
+  int i=search(stringcache,s,lexorder);
+  if(i == -1 || lexorder(stringcache[i],s)) {
+    int k=search(stringlist,s,lexorder);
+    if(k == -1 || lexorder(stringlist[k],s)) {
+      ++k;
+      stringlist.insert(k,s);
+      // PDF tex engines lose track of the baseline.
+      adjust.insert(k,tex && basealign(L.p) == 1 && pdf());
     }
   }
 
-  if(i == -1) {
-    if(tex) {
-      if(adjust) {
-        g=_texpath("."+s,p);
-        if(g.length == 0) return g;
-        real y=min(g[0]).y;
-        g.delete(0);
-        g=shift(0,-y)*g;
-      } else g=_texpath(s,p);
-    } else g=textpath(s,p);
+  path[] transform(path[] g, Label L) {
+    pair m=min(g);
+    pair M=max(g);
+    pair dir=rectify(inverse(L.T)*-L.align.dir);
+    if(tex && basealign(L.p) == 1)
+      dir -= (0,(1-dir.y)*m.y/(M.y-m.y));
+    pair a=m+realmult(dir,M-m);
 
-    stringcache.push(s);
-    pencache.push(p);
-    pathcache.push(g);
+    return shift(L.position+L.align.dir*labelmargin(L.p))*L.T*shift(-a)*g;
   }
+
+  if(tex && bbox) {
+    frame f;
+    label(f,L);
+    return transform(box(min(f),max(f)),L);
+  }
+  
+  if(stringlist.length > 0) {
+    path[][] g;
+    int n=stringlist.length;
+    string[] s=new string[n];
+    pen[] p=new pen[n];
+    for(int i=0; i < n; ++i) {
+      stringfont S=stringlist[i];
+      s[i]=adjust[i] ? "."+S.s : S.s;
+      p[i]=adjust[i] ? S.pen()+basealign : S.pen();
+    }
+        
+    g=tex ? _texpath(s,p) : textpath(s,p);
+      
+    if(tex)
+      for(int i=0; i < n; ++i)
+        if(adjust[i]) {
+          real y=min(g[i][0]).y;
+          g[i].delete(0);
+          g[i]=shift(0,-y)*g[i];
+        }
+    
   
-  pair a;
-  if(g.length == 0) return g;
-  pair m=min(g);
-  pair M=max(g);
-  pair dir=rectify(inverse(L.T)*-L.align.dir);
-  if(tex && basealign(L.p) == 1)
-    dir -= (0,(1-dir.y)*m.y/(M.y-m.y));
-  a=m+realmult(dir,M-m);
-
-  return shift(L.position+L.align.dir*labelmargin(p))*L.T*shift(-a)*g;
+    for(int i=0; i < stringlist.length; ++i) {
+      stringfont s=stringlist[i];
+      int j=search(stringcache,s,lexorder)+1;
+      stringcache.insert(j,s);
+      pathcache.insert(j,g[i]);
+    }
+    stringlist.delete();
+    adjust.delete();
+  }
+
+  return transform(pathcache[search(stringcache,stringfont(L),lexorder)],L);
 }
diff --git a/Master/texmf/asymptote/plain_picture.asy b/Master/texmf/asymptote/plain_picture.asy
index 044ba90e7a7..2ec467727d2 100644
--- a/Master/texmf/asymptote/plain_picture.asy
+++ b/Master/texmf/asymptote/plain_picture.asy
@@ -420,6 +420,8 @@ struct projection {
   bool autoadjust=true; // Adjust camera to lie outside bounding volume?
   bool center=false;    // Center target within bounding volume?
   int ninterpolate;     // Used for projecting nurbs to 2D Bezier curves.
+  bool bboxonly=true;   // Typeset label bounding box only.
+  
   transformation T;
 
   void calculate() {
@@ -469,6 +471,7 @@ struct projection {
     P.center=center;
     P.projector=projector;
     P.ninterpolate=ninterpolate;
+    P.bboxonly=bboxonly;
     P.T=T.copy();
     return P;
   }
@@ -588,7 +591,7 @@ struct picture {
   // The functions to do the deferred drawing.
   drawerBound[] nodes;
   drawerBound3[] nodes3;
-  
+
   bool uptodate=true;
 
   // The coordinates in flex space to be used in sizing the picture.
diff --git a/Master/texmf/asymptote/three.asy b/Master/texmf/asymptote/three.asy
index f528e2a9e52..528a1da13c1 100644
--- a/Master/texmf/asymptote/three.asy
+++ b/Master/texmf/asymptote/three.asy
@@ -2162,9 +2162,9 @@ draw=new void(frame f, path3 g, material p=currentpen,
   pen q=(pen) p;
   if(is3D()) {
     p=material(p);
+    real width=linewidth(q);
     void drawthick(path3 g) {
       if(settings.thick) {
-        real width=linewidth(q);
         if(width > 0) {
           bool prc=prc();
           void cylinder(transform3) {};
@@ -2179,16 +2179,13 @@ draw=new void(frame f, path3 g, material p=currentpen,
             pipe=new void(path3 center, path3 g)
               {drawPRCtube(f,center,g,p,light);};
           }
-          real linecap;
-          real r;
+          real linecap=linecap(q);
+          real r=0.5*width;
           bool open=!cyclic(g);
           int L=length(g);
-          triple g0,gL;
+          triple g0=point(g,0);
+          triple gL=point(g,L);
           if(open && L > 0) {
-            g0=point(g,0);
-            gL=point(g,L);
-            linecap=linecap(q);
-            r=0.5*width;
             if(linecap == 2) {
               g0 -= r*dir(g,0);
               gL += r*dir(g,L);
@@ -2239,11 +2236,11 @@ draw=new void(frame f, path3 g, material p=currentpen,
         } else _draw(f,g,q);
       } else _draw(f,g,q);
     }
-    real[] dash=linetype(adjust(q,arclength(g),cyclic(g)));
     if(q != nullpen)
       begingroup3(f,name == "" ? "curve" : name,render);
-    if(dash.length == 0) drawthick(g);
+    if(linetype(q).length == 0) drawthick(g);
     else {
+      real[] dash=linetype(adjust(q,arclength(g),cyclic(g)));
       if(sum(dash) > 0) {
         dash.cyclic=true;
         real offset=offset(q);
@@ -2787,17 +2784,25 @@ struct scene
         adjusted=adjusted | this.P.adjust(m,M);
     }
 
+    bool scale=xsize != 0 || ysize != 0;
+    bool scaleAdjust=scale && this.P.autoadjust;
+    bool noAdjust=(this.P.absolute || !scaleAdjust);
+
+    if(pic.bounds3.exact && noAdjust)
+      this.P.bboxonly=false;
+    
     f=pic.fit3(t,pic.bounds3.exact ? pic2 : null,this.P);
 
     if(!pic.bounds3.exact) {
+      if(noAdjust)
+        this.P.bboxonly=false;
+
       transform3 s=pic.scale3(f,xsize3,ysize3,zsize3,keepAspect);
       t=s*t;
       this.P=s*this.P;
       f=pic.fit3(t,pic2,this.P);
     }
 
-    bool scale=xsize != 0 || ysize != 0;
-
     if(is3D || scale) {
       pic2.bounds.exact=true;
       transform s=pic2.scaling(xsize,ysize,keepAspect);
@@ -2810,7 +2815,7 @@ struct scene
       height=ceil(lambda.y+2*viewportmargin.y);
 
       if(!this.P.absolute) {
-        if(scale && this.P.autoadjust) {
+        if(scaleAdjust) {
           pair v=(s.xx,s.yy);
           transform3 T=this.P.t;
           pair x=project(X,T);
@@ -2826,6 +2831,7 @@ struct scene
           s=shift(this.P.target)*s*shift(-this.P.target);
           t=s*t;
           this.P=s*this.P;
+          this.P.bboxonly=false;
           f=pic.fit3(t,is3D ? null : pic2,this.P);
         }
 
@@ -2897,11 +2903,10 @@ object embed(string label="", string text=label, string prefix=defaultfilename,
     if(P.infinity) {
       triple m=min3(S.f);
       triple M=max3(S.f);
-
       triple lambda=M-m;
       S.viewportmargin=viewportmargin((lambda.x,lambda.y));
-      S.width=ceil(max(S.width,lambda.x)+2*S.viewportmargin.x);
-      S.height=ceil(max(S.height,lambda.y)+2*S.viewportmargin.y);
+      S.width=ceil(lambda.x+2*S.viewportmargin.x);
+      S.height=ceil(lambda.y+2*S.viewportmargin.y);
       S.f=shift((-0.5(m.x+M.x),-0.5*(m.y+M.y),0))*S.f; // Eye will be at (0,0,0)
     } else {
       if(P.angle == 0) {
diff --git a/Master/texmf/asymptote/three_surface.asy b/Master/texmf/asymptote/three_surface.asy
index 6d0c54d2479..8e48b0606a3 100644
--- a/Master/texmf/asymptote/three_surface.asy
+++ b/Master/texmf/asymptote/three_surface.asy
@@ -1403,16 +1403,16 @@ surface align(surface s, transform3 t=identity4, triple position,
   return shift(position+align*labelmargin(p))*t*shift(-a)*s;
 }
 
-surface surface(Label L, triple position=O)
+surface surface(Label L, triple position=O, bool bbox=false)
 {
-  surface s=surface(texpath(L));
+  surface s=surface(texpath(L,bbox=bbox));
   return L.align.is3D ? align(s,L.T3,position,L.align.dir3,L.p) :
     shift(position)*L.T3*s;
 }
 
 private path[] path(Label L, pair z=0, projection P)
 {
-  path[] g=texpath(L);
+  path[] g=texpath(L,bbox=P.bboxonly);
   return L.align.is3D ? align(g,z,project(L.align.dir3,P)-project(O,P),L.p) :
     shift(z)*g;
 }
@@ -1433,7 +1433,7 @@ void label(frame f, Label L, triple position, align align=NoAlign,
   begingroup3(f,name == "" ? L.s : name,render);
   if(is3D()) {
     bool lighton=light.on();
-    for(patch S : surface(L,position).s) {
+    for(patch S : surface(L,position,bbox=P.bboxonly).s) {
       draw3D(f,S,position,L.p,light,interaction);
       if(render.labelfill && !lighton) // Fill subdivision cracks
         _draw(f,S.external(),position,L.p,interaction.type);
@@ -1465,7 +1465,8 @@ void label(picture pic=currentpicture, Label L, triple position,
   L.align(align);
   L.p(p);
   L.position(0);
-  pic.add(new void(frame f, transform3 t, picture pic, projection P) {
+  
+  pic.add(new void(frame f, transform3 t, picture pic2, projection P) {
       // Handle relative projected 3D alignments.
       Label L=L.copy();
       triple v=t*position;
@@ -1478,29 +1479,29 @@ void label(picture pic=currentpicture, Label L, triple position,
       if(L.defaulttransform3)
         L.T3=transform3(P);
 
-      surface S=surface(L,v);
       begingroup3(f,name == "" ? L.s : name,render,v,interaction.type);
       bool lighton=light.on();
+      
       if(is3D()) {
-        for(patch S : surface(L,v).s) {
+        for(patch S : surface(L,v,bbox=P.bboxonly).s) {
           draw3D(f,S,v,L.p,light,interaction);
           if(render.labelfill && !lighton) // Fill subdivision cracks
             _draw(f,S.external(),v,L.p,interaction.type);
         }
       }
       
-      if(pic != null) {
+      if(pic2 != null) {
         pen p=color(L.T3*Z,L.p,light,shiftless(P.T.modelview));
         if(L.defaulttransform3) {
           if(L.filltype == NoFill)
-            fill(project(v,P.t),pic,path(L,P),p);
+            fill(project(v,P.t),pic2,path(L,P),p);
           else {
             picture d;
             fill(project(v,P.t),d,path(L,P),p);
-            add(pic,d,L.filltype);
+            add(pic2,d,L.filltype);
           }
         } else
-          pic.add(new void(frame f, transform T) {
+          pic2.add(new void(frame f, transform T) {
               for(patch S : surface(L,v).s)
                 fill(f,T*project(S.external(),P,1),p);
             });
@@ -1510,10 +1511,11 @@ void label(picture pic=currentpicture, Label L, triple position,
     },!L.defaulttransform3);
 
   Label L=L.copy();
+  
   if(interaction.targetsize && settings.render != 0)
     L.T=L.T*scale(abs(currentprojection.camera-position)/
                   abs(currentprojection.vector()));
-  path[] g=texpath(L);
+  path[] g=texpath(L,bbox=true);
   if(g.length == 0 || (g.length == 1 && size(g[0]) == 0)) return;
   if(L.defaulttransform3)
     L.T3=transform3(currentprojection);
@@ -1580,8 +1582,10 @@ surface surface(Label L, surface s, real uoffset, real voffset,
         real u=uoffset+(z.x-m.x)/lambda.x;
         real v=voffset+(z.y-m.y)/lambda.y;
         if(((u < 0 || u >= nu) && !s.ucyclic()) ||
-           ((v < 0 || v >= nv) && !s.vcyclic()))
+           ((v < 0 || v >= nv) && !s.vcyclic())) {
           warning("cannotfit","cannot fit string to surface");
+          u=v=0;
+        }
         return s.point(u,v)+height*unit(s.normal(u,v));
       });
   }
diff --git a/Master/texmf/asymptote/version.asy b/Master/texmf/asymptote/version.asy
index 62fb50dc070..c2011eb0a90 100644
--- a/Master/texmf/asymptote/version.asy
+++ b/Master/texmf/asymptote/version.asy
@@ -1 +1 @@
-string VERSION="1.99";
+string VERSION="2.00";
diff --git a/Master/texmf/doc/asymptote/CAD.pdf b/Master/texmf/doc/asymptote/CAD.pdf
index 1d787c85f52..7076ef94893 100644
--- a/Master/texmf/doc/asymptote/CAD.pdf
+++ b/Master/texmf/doc/asymptote/CAD.pdf
diff --git a/Master/texmf/doc/asymptote/asymptote.pdf b/Master/texmf/doc/asymptote/asymptote.pdf
index 3056f8acbf0..f21cc658464 100644
--- a/Master/texmf/doc/asymptote/asymptote.pdf
+++ b/Master/texmf/doc/asymptote/asymptote.pdf
diff --git a/Master/texmf/doc/asymptote/examples/bars3.asy b/Master/texmf/doc/asymptote/examples/bars3.asy
new file mode 100644
index 00000000000..4205d46f37c
--- /dev/null
+++ b/Master/texmf/doc/asymptote/examples/bars3.asy
@@ -0,0 +1,22 @@
+import three;
+import palette; 
+import graph3;
+
+size(300);
+
+currentprojection=perspective(-30,-30,30,up=Z);
+
+surface s;
+
+for(int i = 0; i < 10; ++i) {
+  for(int j = 0; j < 10; ++j) {
+    s.append(shift(i,j,0)*scale(1,1,i+j)*unitcube);
+  }
+}
+
+s.colors(palette(s.map(zpart),Rainbow()));
+draw(s,meshpen=black+thick(),nolight,render(merge=true));
+
+xaxis3("$x$",Bounds,InTicks(endlabel=false,Label,2,2));
+yaxis3(YZ()*"$y$",Bounds,InTicks(beginlabel=false,Label,2,2));
+zaxis3(XZ()*"$z$",Bounds,InTicks);
diff --git a/Master/texmf/doc/asymptote/examples/condor.asy b/Master/texmf/doc/asymptote/examples/condor.asy
index d3b48728ea0..5ce5caa2412 100644
--- a/Master/texmf/doc/asymptote/examples/condor.asy
+++ b/Master/texmf/doc/asymptote/examples/condor.asy
@@ -29,4 +29,4 @@ triple condor(pair t)
 surface s=surface(condor,(-1,0),(1,K),16,Spline);
 s.colors(palette(s.map(zpart),Rainbow()));
 
-draw(s);
+draw(s,render(compression=Low,merge=true));
diff --git a/Master/texmf/doc/asymptote/examples/cones.asy b/Master/texmf/doc/asymptote/examples/cones.asy
index 4f28796cb92..e63a4281251 100644
--- a/Master/texmf/doc/asymptote/examples/cones.asy
+++ b/Master/texmf/doc/asymptote/examples/cones.asy
@@ -3,14 +3,16 @@ import solids;
 size(200);
 currentprojection=orthographic(5,4,2);
 
+render render=render(compression=Low,merge=true);
+
 revolution upcone=cone(-Z,1,1);
 revolution downcone=cone(Z,1,-1);
-draw(surface(upcone),green);
-draw(surface(downcone),green);
+draw(surface(upcone),green,render);
+draw(surface(downcone),green,render);
 draw(upcone,5,blue,longitudinalpen=nullpen);
 draw(downcone,5,blue,longitudinalpen=nullpen);
 
 revolution cone=shift(2Y-2X)*cone(1,1);
 
-draw(surface(cone),green);
+draw(surface(cone),green,render);
 draw(cone,5,blue);
diff --git a/Master/texmf/doc/asymptote/examples/cylinder.asy b/Master/texmf/doc/asymptote/examples/cylinder.asy
index d326ea579a2..88ff1394bac 100644
--- a/Master/texmf/doc/asymptote/examples/cylinder.asy
+++ b/Master/texmf/doc/asymptote/examples/cylinder.asy
@@ -4,5 +4,5 @@ size(0,100);
 currentlight=Viewport;
 
 revolution r=cylinder(O,1,1.5,Y+Z);
-draw(surface(r),green);
+draw(surface(r),green,render(merge=true));
 draw(r,blue);
diff --git a/Master/texmf/doc/asymptote/examples/hyperboloid.asy b/Master/texmf/doc/asymptote/examples/hyperboloid.asy
index 10d3609f5d0..0cf6da08c40 100644
--- a/Master/texmf/doc/asymptote/examples/hyperboloid.asy
+++ b/Master/texmf/doc/asymptote/examples/hyperboloid.asy
@@ -4,5 +4,5 @@ import solids;
 currentprojection=perspective(4,4,3);
 revolution hyperboloid=revolution(new real(real x) {return sqrt(1+x*x);},
                                   -2,2,20,operator..,X);
-draw(surface(hyperboloid),green);
+draw(surface(hyperboloid),green,render(compression=Low,merge=true));
 draw(hyperboloid,6,blue,longitudinalpen=nullpen);
diff --git a/Master/texmf/doc/asymptote/examples/pipes.asy b/Master/texmf/doc/asymptote/examples/pipes.asy
new file mode 100644
index 00000000000..6b2025f6b35
--- /dev/null
+++ b/Master/texmf/doc/asymptote/examples/pipes.asy
@@ -0,0 +1,140 @@
+import solids;
+import tube;
+import graph3;
+import palette;
+size(8cm);
+
+currentprojection=perspective(
+camera=(13.3596389245356,8.01038090435314,14.4864483364785),
+up=(-0.0207054323419367,-0.00472438375047319,0.0236460907598947),
+target=(-1.06042550499095,2.68154529985845,0.795007562120261));
+
+defaultpen(fontsize(6pt));
+
+// draw coordinates and frames 
+// axis1 is defined by z axis of TBase
+// axis2 is defined by z axis of TEnd
+void DrawFrame(transform3 TBase, transform3 TEnd, string s)
+{
+  triple p1,v1,p2,v2;
+  p1=TBase*O;
+  v1=TBase*Z-p1;
+  p2=TEnd*O;
+  v2=TEnd*Z-p2;
+  triple n=cross(v1,v2);
+
+  real[][] A=
+    {
+      {v1.x,-v2.x,-n.x},
+      {v1.y,-v2.y,-n.y},
+      {v1.z,-v2.z,-n.z}
+    };
+
+  triple vb=p2-p1;
+
+  real[] b={vb.x,vb.y,vb.z};
+    
+  // Get the extention along vector v1 and v2, 
+  // so, we can get the common normal between two axis
+  real[] x=solve(A,b);
+
+  real s1=x[0];
+  real s2=x[1];
+    
+  // get foot of a perpendicular on both axies
+  triple foot1=p1+s1*v1;
+  triple foot2=p2+s2*v2;
+	
+  // draw two axis
+  triple axis_a,axis_b;
+  axis_a=p1+s1*v1*1.5;
+  axis_b=p1-s1*v1*1.5;
+  draw(axis_a--axis_b);
+	
+  axis_a=p2+s2*v2*1.5;
+  axis_b=p2-s2*v2*1.5;
+  draw(axis_a--axis_b);
+ 
+  // draw "a"(common normal) 
+  draw(Label("$a_{"+s+"}$"),foot1--foot2,linewidth(1pt)); 
+
+  // draw the coordinates frame
+  triple dx,dy,dz,org;
+  real length=0.8;
+    
+  org=foot1;
+  dx =length*unit(foot2-foot1); // define the x axis of the frame on "a"
+  dz =length*unit(v1);          // define the z axis which is along axis1
+  dy =length*unit(cross(dz,dx));
+	
+  draw(Label("$X_{"+s+"}$",1,align=-dy-dz),org--(org+dx),red+linewidth(1.5pt),
+       Arrow3(8));
+  draw(Label("$Y_{"+s+"}$",1,align=2dy-dz-dx),org--(org+dy), 
+       green+linewidth(1.5pt),	Arrow3(8));
+  draw(Label("$Z_{"+s+"}$",1,align=-2dx-dy),org--(org+dz),
+       blue+linewidth(1.5pt),	Arrow3(8));
+    
+  dot(Label("$O_{"+s+"}$",align =-dx-dz,black),org,black); // origin
+           
+}
+
+void DrawLink(transform3 TBase, transform3 TEnd, pen objStyle,string s)
+{
+  real h=1;
+  real r=0.5;
+  path3 generator=(0.5*r,0,h)--(r,0,h)--(r,0,0)--(0.5*r,0,0);
+  revolution vase=revolution(O,generator,0,360);
+  surface objSurface=surface(vase);
+    
+  render render=render(merge=true);
+
+  // draw two cylinders
+  draw(TBase*objSurface,objStyle,render);
+  draw(TEnd*shift((0,0,-h))*objSurface,objStyle,render);
+	
+  // draw the link between two cylinders
+  triple pStart=TBase*(0.5*h*Z);
+  triple pEnd  =TEnd*(-0.5*h*Z);
+  triple pControl1=0.25*(pEnd-pStart)+TBase*(0,0,h);
+  triple pControl2=-0.25*(pEnd-pStart)+TEnd*(0,0,-h);
+  path3 p=pStart..controls pControl1 and pControl2..pEnd;
+  draw(tube(p,scale(0.2)*unitsquare),objStyle,render);   
+}
+
+// t1 and t2 define the starting frame and ending frame of the first link(i-1)
+transform3 t1=shift((0,0,1));
+transform3 t2=shift((0,0,-1))*rotate(-20,Y)*shift((0,3,2));
+// as, the two links were connected, so t2 is also the starting frame of link(i)
+// t3 defines the ending frame of link(i) 
+transform3 t3=t2*rotate(40,Z)*shift((0,3,1.5))*rotate(-15,Y)*shift(-1.5*Z);
+
+// draw link(i-1)
+DrawLink(t1,t2,palegreen,"i-1");
+DrawFrame(t1,t2,"i-1");
+// draw link(i)
+DrawLink(t2,t3,lightmagenta,"i");
+DrawFrame(t2,t3,"i");
+
+
+// draw angle alpha, which is the angle between axis(i-1) and axis(i)
+triple p0=(0,0,-1);
+triple p1=(0,0,2.3);
+triple p2=shift((0,0,-1))*rotate(-20,Y)*(0,0,4);
+draw(p0--p2,cyan);
+draw("$\alpha_{i-1}$",arc(p0,p1,p2,Y,CW),ArcArrow3(3));
+
+
+// draw angle theta, which is the angle between a_i and a_{i-1}
+transform3 tx=shift((0,0,-1))*rotate(-20,Y)*shift((0,3,0));
+p0=tx*O;
+p1=tx*(0,3,0);
+p2=tx*rotate(40,Z)*(0,3,0);
+draw(p0--p1,cyan);
+draw(p0--p2,cyan);
+
+triple p1a=tx*(0,1.5,0);
+draw("$\theta_{i}$",arc(p0,p1a,p2),ArcArrow3(3));
+
+// draw d_{i-1}
+triple org_i   =t2*shift((0,0,1.5))*O;
+draw(Label("$d_{i}$",0.13),p0--org_i,linewidth(1pt)); 
diff --git a/Master/texmf/doc/asymptote/examples/projectrevolution.asy b/Master/texmf/doc/asymptote/examples/projectrevolution.asy
index fe639b3b901..25cbe6d4902 100644
--- a/Master/texmf/doc/asymptote/examples/projectrevolution.asy
+++ b/Master/texmf/doc/asymptote/examples/projectrevolution.asy
@@ -11,5 +11,7 @@ surface s=surface(r);
  
 surface S=planeproject(shift(-Z)*unitsquare3)*s;
 S.colors(palette(s.map(zpart),Rainbow()));
-draw(S);
-draw(s,lightgray); 
+
+render render=render(compression=Low,merge=true);
+draw(S,render);
+draw(s,lightgray,render); 
diff --git a/Master/texmf/doc/asymptote/examples/sacone3D.asy b/Master/texmf/doc/asymptote/examples/sacone3D.asy
index 1ed60da0351..d8f3aa373d3 100644
--- a/Master/texmf/doc/asymptote/examples/sacone3D.asy
+++ b/Master/texmf/doc/asymptote/examples/sacone3D.asy
@@ -5,7 +5,8 @@ real r=1;
 real h=1;
 
 revolution R=cone(r,h);
-draw(surface(R),lightgreen+opacity(0.5));
+
+draw(surface(R),lightgreen+opacity(0.5),render(compression=Low));
 pen edge=blue+0.25mm;
 draw("$\ell$",(0,r,0)--(0,0,h),W,edge);
 draw("$r$",(0,0,0)--(r,0,0),red+dashed);
diff --git a/Master/texmf/doc/asymptote/examples/sacylinder3D.asy b/Master/texmf/doc/asymptote/examples/sacylinder3D.asy
index e44f78e8e72..fcc1a487bbe 100644
--- a/Master/texmf/doc/asymptote/examples/sacylinder3D.asy
+++ b/Master/texmf/doc/asymptote/examples/sacylinder3D.asy
@@ -5,7 +5,7 @@ real r=1;
 real h=3;
 
 revolution R=cylinder(-h/2*Z,r,h);
-draw(surface(R),lightgreen+opacity(0.5));
+draw(surface(R),lightgreen+opacity(0.5),render(compression=Low));
 draw((0,0,-h/2)--(0,0,h/2),dashed);
 dot((0,0,-h/2));
 dot((0,0,h/2));
diff --git a/Master/texmf/doc/asymptote/examples/shellmethod.asy b/Master/texmf/doc/asymptote/examples/shellmethod.asy
index c1c0155ae3a..c8e541f2a62 100644
--- a/Master/texmf/doc/asymptote/examples/shellmethod.asy
+++ b/Master/texmf/doc/asymptote/examples/shellmethod.asy
@@ -26,11 +26,13 @@ path p=graph(F,0,2,n,operator ..)--cycle;
 surface s=surface(p);
 path3 p3=path3(p);
 
+render render=render(compression=0,merge=true);
+
 revolution a=revolution(p3,Y,0,alpha);
-draw(surface(a),color);
-draw(rotate(alpha,Y)*s,color);
+draw(surface(a),color,render);
+draw(rotate(alpha,Y)*s,color,render);
 for(int i=0; i < n; ++i)
-  draw(surface(blocks[i]),color+opacity(0.5),black);
+  draw(surface(blocks[i]),color+opacity(0.5),black,render);
 draw(p3);
 
 xaxis3(Label("$x$",1,align=2X),Arrow3);
diff --git a/Master/texmf/doc/asymptote/examples/splitpatch.asy b/Master/texmf/doc/asymptote/examples/splitpatch.asy
index 200fb2c4c44..f1f5b6b98ba 100644
--- a/Master/texmf/doc/asymptote/examples/splitpatch.asy
+++ b/Master/texmf/doc/asymptote/examples/splitpatch.asy
@@ -1,5 +1,7 @@
 import three;
 
+size(300);
+
 currentprojection=orthographic(0,0,1);
 
 triple[][] A={
diff --git a/Master/texmf/doc/asymptote/examples/teapot.asy b/Master/texmf/doc/asymptote/examples/teapot.asy
index 9ec5b0cb370..401ecec5ab9 100644
--- a/Master/texmf/doc/asymptote/examples/teapot.asy
+++ b/Master/texmf/doc/asymptote/examples/teapot.asy
@@ -169,4 +169,4 @@ triple[][][] Q={
   }
 };
 
-draw(surface(Q),blue);
+draw(surface(Q),blue,render(compression=Low));
diff --git a/Master/texmf/doc/asymptote/examples/torus.asy b/Master/texmf/doc/asymptote/examples/torus.asy
index f89c82cde8b..d0b8673d737 100644
--- a/Master/texmf/doc/asymptote/examples/torus.asy
+++ b/Master/texmf/doc/asymptote/examples/torus.asy
@@ -17,4 +17,4 @@ triple f(pair t) {
 }
 
 surface s=surface(f,(radians(90),0),(radians(345),2pi),8,8,Spline);
-draw(s,green,render(merge=true));
+draw(s,green,render(compression=Low,merge=true));
diff --git a/Master/texmf/doc/asymptote/examples/workcone.asy b/Master/texmf/doc/asymptote/examples/workcone.asy
index 5b4f8c94ad5..37efb5cc86b 100644
--- a/Master/texmf/doc/asymptote/examples/workcone.asy
+++ b/Master/texmf/doc/asymptote/examples/workcone.asy
@@ -16,6 +16,8 @@ real x1=r*s1/h;
 real s2=sr+0.2;
 real x2=r*s2/h;
 
+//render render=render(compression=Low,merge=true);
+
 path3 p=(0,0,0)--(x,0,s);
 revolution a=revolution(p,Z);
 draw(surface(a,4),lightblue+opacity(0.5));
diff --git a/Master/texmf/doc/info/asy-faq.info b/Master/texmf/doc/info/asy-faq.info
index 61c827ac745..4741db226ae 100644
--- a/Master/texmf/doc/info/asy-faq.info
+++ b/Master/texmf/doc/info/asy-faq.info
@@ -9,7 +9,7 @@ END-INFO-DIR-ENTRY
 File: $prefix.info, Node: Top, Next: Question 1.1, Up: (dir)
 
             ASYMPTOTE FREQUENTLY ASKED QUESTIONS
-                            18 Jun 2010
+                            25 Jun 2010
                           
 This is the list of Frequently Asked Questions about Asymptote (asy).
 
diff --git a/Master/texmf/doc/info/asymptote.info b/Master/texmf/doc/info/asymptote.info
index d672a648432..45ab814b89a 100644
--- a/Master/texmf/doc/info/asymptote.info
+++ b/Master/texmf/doc/info/asymptote.info
@@ -1,7 +1,7 @@
 This is asymptote.info, produced by makeinfo version 4.13 from
 ../asymptote.texi.
 
-This file documents `Asymptote', version 1.99.
+This file documents `Asymptote', version 2.00.
 
    `http://asymptote.sourceforge.net'
 
@@ -23,7 +23,7 @@ File: asymptote.info,  Node: Top,  Next: Description,  Up: (dir)
 Asymptote
 *********
 
-This file documents `Asymptote', version 1.99.
+This file documents `Asymptote', version 2.00.
 
    `http://asymptote.sourceforge.net'
 
@@ -3996,10 +3996,14 @@ of type `T[]'.
      the `-n'th value;
 
 `int search(T[] a, T key)'
-     For built-in ordered types `T', searches a sorted ordered array
-     `a' of `n' elements for k, returning the index `i' if `a[i] <= key
-     < a[i+1]', `-1' if `key' is less than all elements of `a', or
-     `n-1' if `key' is greater than or equal to the last element of `a'.
+     For built-in ordered types `T', searches a sorted array `a' of `n'
+     elements for k, returning the index `i' if `a[i] <= key < a[i+1]',
+     `-1' if `key' is less than all elements of `a', or `n-1' if `key'
+     is greater than or equal to the last element of `a'.
+
+`int search(T[] a, T key, bool less(T i, T j))'
+     searches an array `a' sorted in ascending order such that element
+     `i' precedes element `j' if `less(i,j)' is true;
 
 `T[] copy(T[] a)'
      returns a copy of the array `a';
@@ -4034,9 +4038,9 @@ of type `T[]'.
      bob     9
      pete    7
 
-`T[] sort(T[] a, bool compare(T i, T j))'
+`T[] sort(T[] a, bool less(T i, T j))'
      returns a copy of `a' stably sorted in ascending order such that
-     element `i' precedes element `j' if `compare(i,j)' is true.
+     element `i' precedes element `j' if `less(i,j)' is true.
 
 `T[][] transpose(T[][] a)'
      returns the transpose of `a'.
@@ -4946,10 +4950,10 @@ useful functions such as
      sequentially, returning the index of `x' in the resulting array.
 
 `bool lexorder(pair a, pair b)'
-     returns the lexicographical partial order of `a' and `b'.
+     returns the strict lexicographical partial order of `a' and `b'.
 
 `bool lexorder(triple a, triple b)'
-     returns the lexicographical partial order of `a' and `b'.
+     returns the strict lexicographical partial order of `a' and `b'.
 
 
 File: asymptote.info,  Node: interpolate,  Next: geometry,  Prev: math,  Up: Base modules
@@ -8443,11 +8447,11 @@ Index
                                                               (line  48)
 * Airy:                                  Mathematical functions.
                                                               (line  48)
-* alias <1>:                             Arrays.              (line 182)
+* alias <1>:                             Arrays.              (line 186)
 * alias:                                 Structures.          (line  52)
 * align:                                 Options.             (line 167)
 * Align:                                 label.               (line  12)
-* all:                                   Arrays.              (line 330)
+* all:                                   Arrays.              (line 334)
 * Allow:                                 Pens.                (line 327)
 * AND:                                   Arithmetic & logical.
                                                               (line  80)
@@ -8625,6 +8629,7 @@ Index
 * circle:                                Paths and guides.    (line  10)
 * circlebarframe:                        markers.             (line  18)
 * CJK:                                   unicode.             (line  12)
+* clamped:                               graph.               (line  37)
 * clear <1>:                             Debugger.            (line  23)
 * clear:                                 Files.               (line  88)
 * clip:                                  fill.                (line 111)
@@ -8641,7 +8646,7 @@ Index
 * colorless:                             Pens.                (line  54)
 * colors:                                Pens.                (line  51)
 * comma:                                 Files.               (line  58)
-* comma-separated-value mode:            Arrays.              (line 363)
+* comma-separated-value mode:            Arrays.              (line 367)
 * command-line options <1>:              Options.             (line   6)
 * command-line options:                  Configuring.         (line  83)
 * comment character:                     Files.               (line  15)
@@ -8649,7 +8654,7 @@ Index
 * Compiling from UNIX source:            Compiling from UNIX source.
                                                               (line   6)
 * complement:                            Arrays.              (line 149)
-* concat:                                Arrays.              (line 178)
+* concat:                                Arrays.              (line 182)
 * conditional <1>:                       Arithmetic & logical.
                                                               (line  73)
 * conditional:                           Programming.         (line   8)
@@ -8673,7 +8678,7 @@ Index
 * convert:                               Configuring.         (line  67)
 * convertOptions:                        Options.             (line 129)
 * Coons shading:                         fill.                (line  74)
-* copy:                                  Arrays.              (line 169)
+* copy:                                  Arrays.              (line 173)
 * Cos:                                   Mathematical functions.
                                                               (line  20)
 * cos:                                   Mathematical functions.
@@ -8687,10 +8692,10 @@ Index
 * cross:                                 Data types.          (line 167)
 * crossframe:                            markers.             (line  23)
 * crosshatch:                            Pens.                (line 267)
-* csv:                                   Arrays.              (line 363)
+* csv:                                   Arrays.              (line 367)
 * CTZ:                                   Arithmetic & logical.
                                                               (line  80)
-* cubicroots:                            Arrays.              (line 319)
+* cubicroots:                            Arrays.              (line 323)
 * curl <1>:                              three.               (line   6)
 * curl:                                  Bezier curves.       (line  63)
 * curlSpecifier:                         Paths and guides.    (line 391)
@@ -8731,9 +8736,9 @@ Index
 * delete <1>:                            Arrays.              (line  39)
 * delete:                                Files.               (line 145)
 * description:                           Description.         (line   6)
-* diagonal:                              Arrays.              (line 304)
+* diagonal:                              Arrays.              (line 308)
 * diamond:                               flowchart.           (line  57)
-* dimension:                             Arrays.              (line 368)
+* dimension:                             Arrays.              (line 372)
 * dir <1>:                               three.               (line 502)
 * dir <2>:                               Paths and guides.    (line  98)
 * dir <3>:                               Data types.          (line  85)
@@ -8744,7 +8749,7 @@ Index
 * dirtime:                               Paths and guides.    (line 152)
 * display:                               Configuring.         (line  67)
 * do:                                    Programming.         (line  29)
-* dot <1>:                               Arrays.              (line 260)
+* dot <1>:                               Arrays.              (line 264)
 * dot <2>:                               Data types.          (line  98)
 * dot:                                   draw.                (line  83)
 * DotMargin:                             draw.                (line  42)
@@ -8796,9 +8801,9 @@ Index
 * EndPoint:                              label.               (line  57)
 * envelope:                              Frames and pictures. (line  22)
 * environment variables:                 Configuring.         (line  87)
-* eof <1>:                               Arrays.              (line 345)
+* eof <1>:                               Arrays.              (line 349)
 * eof:                                   Files.               (line  88)
-* eol <1>:                               Arrays.              (line 345)
+* eol <1>:                               Arrays.              (line 349)
 * eol:                                   Files.               (line  88)
 * EPS <1>:                               Options.             (line 142)
 * EPS:                                   label.               (line  80)
@@ -8843,7 +8848,7 @@ Index
                                                               (line  15)
 * feynman:                               feynman.             (line   6)
 * fft <1>:                               math.                (line  26)
-* fft:                                   Arrays.              (line 247)
+* fft:                                   Arrays.              (line 251)
 * FFTW:                                  Compiling from UNIX source.
                                                               (line  58)
 * file <1>:                              Debugger.            (line  45)
@@ -8956,7 +8961,7 @@ Index
 * i_scaled:                              Mathematical functions.
                                                               (line  48)
 * iconic:                                three.               (line 210)
-* identity <1>:                          Arrays.              (line 301)
+* identity <1>:                          Arrays.              (line 305)
 * identity <2>:                          Mathematical functions.
                                                               (line   6)
 * identity:                              Transforms.          (line  24)
@@ -9009,7 +9014,7 @@ Index
 * InTicks:                               graph3.              (line  34)
 * intMax:                                Data types.          (line  28)
 * intMin:                                Data types.          (line  28)
-* inverse <1>:                           Arrays.              (line 307)
+* inverse <1>:                           Arrays.              (line 311)
 * inverse:                               Transforms.          (line  16)
 * invert:                                three.               (line 422)
 * invisible:                             Pens.                (line  39)
@@ -9068,8 +9073,8 @@ Index
 * libsigsegv <1>:                        Help.                (line  33)
 * libsigsegv:                            Functions.           (line  88)
 * limits:                                graph.               (line 636)
-* line:                                  Arrays.              (line 345)
-* line mode:                             Arrays.              (line 345)
+* line:                                  Arrays.              (line 349)
+* line mode:                             Arrays.              (line 349)
 * Linear:                                graph.               (line 682)
 * linecap:                               Pens.                (line 129)
 * linejoin:                              Pens.                (line 138)
@@ -9112,7 +9117,7 @@ Index
 * mathematical functions:                Mathematical functions.
                                                               (line   6)
 * max <1>:                               three.               (line 502)
-* max <2>:                               Arrays.              (line 226)
+* max <2>:                               Arrays.              (line 230)
 * max <3>:                               Frames and pictures. (line   7)
 * max:                                   Paths and guides.    (line 264)
 * maxbound:                              Data types.          (line 104)
@@ -9133,7 +9138,7 @@ Index
 * midpoint:                              Paths and guides.    (line 166)
 * MidPoint:                              label.               (line  57)
 * min <1>:                               three.               (line 502)
-* min <2>:                               Arrays.              (line 219)
+* min <2>:                               Arrays.              (line 223)
 * min <3>:                               Frames and pictures. (line   7)
 * min:                                   Paths and guides.    (line 260)
 * minbound:                              Data types.          (line 101)
@@ -9143,6 +9148,7 @@ Index
 * miterlimit:                            Pens.                (line 147)
 * mm:                                    Tutorial.            (line  61)
 * mode:                                  Files.               (line  84)
+* monotonic:                             graph.               (line  37)
 * mouse:                                 GUI.                 (line   6)
 * mouse bindings:                        three.               (line 137)
 * Move:                                  Pens.                (line 339)
@@ -9153,6 +9159,7 @@ Index
 * N:                                     Tutorial.            (line 104)
 * name:                                  Files.               (line  84)
 * named arguments:                       Named arguments.     (line   6)
+* natural:                               graph.               (line  37)
 * new <1>:                               Arrays.              (line 109)
 * new:                                   Structures.          (line   6)
 * newframe:                              Frames and pictures. (line   7)
@@ -9172,6 +9179,7 @@ Index
 * nosafe:                                Options.             (line 162)
 * NOT:                                   Arithmetic & logical.
                                                               (line  80)
+* notaknot:                              graph.               (line  37)
 * NoTicks:                               graph.               (line 161)
 * NoTicks3:                              graph3.              (line  34)
 * null:                                  Structures.          (line   6)
@@ -9222,7 +9230,7 @@ Index
 * packing:                               Rest arguments.      (line  30)
 * pair <1>:                              Data types.          (line  41)
 * pair:                                  Tutorial.            (line  49)
-* pairs:                                 Arrays.              (line 243)
+* pairs:                                 Arrays.              (line 247)
 * paperheight:                           Configuring.         (line  61)
 * papertype:                             Configuring.         (line  61)
 * paperwidth:                            Configuring.         (line  61)
@@ -9250,6 +9258,7 @@ Index
 * PenMargins:                            draw.                (line  42)
 * PenMargins2:                           three.               (line 559)
 * PenMargins3:                           three.               (line 559)
+* periodic:                              graph.               (line  37)
 * perpendicular:                         geometry.            (line   6)
 * perspective:                           three.               (line 358)
 * picture:                               Frames and pictures. (line  35)
@@ -9294,7 +9303,7 @@ Index
 * public:                                Structures.          (line   6)
 * push:                                  Arrays.              (line  39)
 * Python usage:                          Interactive mode.    (line  80)
-* quadraticroots:                        Arrays.              (line 310)
+* quadraticroots:                        Arrays.              (line 314)
 * quarticroots:                          math.                (line  22)
 * quit <1>:                              Debugger.            (line  54)
 * quit <2>:                              Interactive mode.    (line  59)
@@ -9314,9 +9323,9 @@ Index
                                                               (line  39)
 * randMax:                               Mathematical functions.
                                                               (line  39)
-* read:                                  Arrays.              (line 386)
+* read:                                  Arrays.              (line 390)
 * reading:                               Files.               (line  11)
-* reading string arrays:                 Arrays.              (line 355)
+* reading string arrays:                 Arrays.              (line 359)
 * readline:                              Files.               (line 130)
 * real:                                  Data types.          (line  33)
 * realDigits:                            Data types.          (line  33)
@@ -9440,8 +9449,8 @@ Index
 * slopefield:                            slopefield.          (line   6)
 * solid:                                 Pens.                (line  95)
 * solids:                                solids.              (line   9)
-* solve:                                 Arrays.              (line 279)
-* sort:                                  Arrays.              (line 185)
+* solve:                                 Arrays.              (line 283)
+* sort:                                  Arrays.              (line 189)
 * Spline <1>:                            graph3.              (line 100)
 * Spline:                                graph.               (line  34)
 * split:                                 Data types.          (line 261)
@@ -9474,7 +9483,7 @@ Index
 * subpictures:                           Frames and pictures. (line 103)
 * substr:                                Data types.          (line 244)
 * Subversion:                            Subversion.          (line   6)
-* sum:                                   Arrays.              (line 214)
+* sum:                                   Arrays.              (line 218)
 * superpath:                             Tutorial.            (line 132)
 * Suppress:                              Pens.                (line 331)
 * SuppressQuiet:                         Pens.                (line 335)
@@ -9538,12 +9547,12 @@ Index
 * transform:                             Transforms.          (line   6)
 * transform3:                            three.               (line 432)
 * transparency:                          Pens.                (line 222)
-* transpose:                             Arrays.              (line 206)
+* transpose:                             Arrays.              (line 210)
 * tree:                                  tree.                (line   9)
 * trembling:                             trembling.           (line   6)
 * triangle:                              geometry.            (line   6)
 * triangulate:                           contour.             (line 157)
-* tridiagonal:                           Arrays.              (line 267)
+* tridiagonal:                           Arrays.              (line 271)
 * trigonometric integrals:               Mathematical functions.
                                                               (line  48)
 * triple:                                Data types.          (line 108)
@@ -9590,7 +9599,7 @@ Index
                                                               (line   6)
 * vectorfield:                           graph.               (line 975)
 * vectorfield3:                          graph3.              (line 159)
-* vectorization:                         Arrays.              (line 324)
+* vectorization:                         Arrays.              (line 328)
 * verbatim:                              Frames and pictures. (line 271)
 * vertex-dependent colors:               three.               (line  81)
 * Vertical:                              flowchart.           (line  81)
@@ -9607,11 +9616,11 @@ Index
 * Wheel:                                 palette.             (line  22)
 * wheel mouse:                           GUI.                 (line   6)
 * while:                                 Programming.         (line  29)
-* white-space string delimiter mode:     Arrays.              (line 355)
+* white-space string delimiter mode:     Arrays.              (line 359)
 * width:                                 LaTeX usage.         (line  31)
 * windingnumber:                         Paths and guides.    (line 268)
-* word:                                  Arrays.              (line 355)
-* write <1>:                             Arrays.              (line 395)
+* word:                                  Arrays.              (line 359)
+* write <1>:                             Arrays.              (line 399)
 * write:                                 Files.               (line  50)
 * X:                                     three.               (line 274)
 * xasy:                                  GUI.                 (line   6)
@@ -9744,80 +9753,80 @@ Node: Named arguments147188
 Node: Rest arguments149350
 Node: Mathematical functions152160
 Node: Arrays156767
-Ref: sort163651
-Ref: tridiagonal166061
-Ref: solve167289
-Node: Slices171482
-Node: Casts175372
-Node: Import177337
-Node: Static182564
-Node: LaTeX usage185458
-Node: Base modules190932
-Node: plain193432
-Node: simplex194084
-Node: math194357
-Node: interpolate197048
-Node: geometry197327
-Node: trembling197921
-Node: stats198272
-Node: patterns198532
-Node: markers198768
-Node: tree200551
-Node: binarytree200739
-Node: drawtree201328
-Node: syzygy201532
-Node: feynman201806
-Node: roundedpath202081
-Node: animation202364
-Ref: animate202781
-Node: embed203920
-Node: slide205709
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-Node: unicode206765
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-Ref: pathmarkers230570
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-Ref: automatic scaling237233
-Node: palette247879
-Ref: images247997
-Ref: image252168
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-Node: three253896
-Ref: PostScript3D278438
-Node: obj280130
-Node: graph3280382
-Ref: GaussianSurface285507
-Node: grid3286611
-Node: solids287351
-Node: tube288299
-Node: flowchart290534
-Node: contour295103
-Node: contour3300228
-Node: slopefield300535
-Node: ode301972
-Node: Options302232
-Ref: configuration file308077
-Ref: settings308077
-Ref: convert309278
-Node: Interactive mode312245
-Ref: history314398
-Node: GUI315703
-Node: GUI installation316206
-Node: GUI usage317336
-Node: PostScript to Asymptote318239
-Node: Help318995
-Node: Debugger320731
-Node: Credits322516
-Node: Index323448
+Ref: sort163817
+Ref: tridiagonal166221
+Ref: solve167449
+Node: Slices171642
+Node: Casts175532
+Node: Import177497
+Node: Static182724
+Node: LaTeX usage185618
+Node: Base modules191092
+Node: plain193592
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+Node: Interactive mode312419
+Ref: history314572
+Node: GUI315877
+Node: GUI installation316380
+Node: GUI usage317510
+Node: PostScript to Asymptote318413
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+Node: Index323622
 
 End Tag Table
diff --git a/Master/texmf/doc/man/man1/asy.man1.pdf b/Master/texmf/doc/man/man1/asy.man1.pdf
index a074b219c54..80ae55c122b 100644
--- a/Master/texmf/doc/man/man1/asy.man1.pdf
+++ b/Master/texmf/doc/man/man1/asy.man1.pdf