asymptote 2.43

git-svn-id: svn://tug.org/texlive/trunk@47319 c570f23f-e606-0410-a88d-b1316a301751

45 files changed, 2837 insertions, 13584 deletions

diff --git a/Build/source/utils/asymptote/ChangeLog b/Build/source/utils/asymptote/ChangeLog
index 5d3a7d7fc94..a4742f4895f 100644
--- a/Build/source/utils/asymptote/ChangeLog
+++ b/Build/source/utils/asymptote/ChangeLog
@@ -1,3 +1,87 @@
+commit f91ccd81f6f33f927f88724e23afb75988c56692
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Thu Apr 5 21:21:39 2018 -0600
+
+    Replace symbolic link; update copyright.
+
+commit 69c6d33934672d86f94469325327e7e0862e4c72
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Thu Apr 5 20:29:03 2018 -0600
+
+    Fix MSWindows build script.
+
+commit 1ad3fcca0a38fdf6020ba9a00d9a09a12a0dea31
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Thu Apr 5 18:49:09 2018 -0600
+
+    Update build scripts.
+
+commit 66327ad373064731bcbda74a2873353a77f6eaf7
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Thu Apr 5 16:48:54 2018 -0600
+
+    Fix configure.ac.
+
+commit a4331d136126548b86d84ac59617f2a1374d9cc7
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Thu Apr 5 16:31:15 2018 -0600
+
+    Update build scripts.
+
+commit e1507613166785005f6f0c59ccc23df1340b9c2b
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Thu Apr 5 08:55:50 2018 -0600
+
+    Update config.sub and config.guess.
+
+commit 92056e30dd6222eee72088de94c16cce22080104
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Thu Apr 5 08:55:48 2018 -0600
+
+    Update config.sub and config.guess.
+
+commit 42faee86b22ba0e051aba4d3df08da670dbe02d8
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Thu Apr 5 08:53:51 2018 -0600
+
+    Rename 64-bit linux binary.
+
+commit fcbfb4633bb13103fcf9cf1b399dc917c7a70763
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Wed Apr 4 16:37:24 2018 -0600
+
+    Revert to Boehm GC 7.6.0 due to map compilation issues under MacOS X.
+
+commit 125fadda71d2ff4be2c5533a22a18e1f72c336a9
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Wed Apr 4 09:44:07 2018 -0600
+
+    Update to latest Boehm garbage collector.
+
+commit d412f0e76cee49975f77849997707399a5719fb1
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Wed Apr 4 00:59:24 2018 -0600
+
+    Support vector svg output for PDF tex engines.
+
+commit 986b329d6e3628c768646f2217fa444f4be08ed8
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Tue Apr 3 21:50:48 2018 -0600
+
+    Implement temporary workaround for github Issue #29.
+
+commit ce6d0daa38fb334ff23f190b74ba10d0aa241acd
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Tue Apr 3 19:47:40 2018 -0600
+
+    Fix real modulo operator.
+
+commit 3cdb10262d48640b9ce217896c3da595dd9ab805
+Author: John Bowman <bowman@ualberta.ca>
+Date:   Tue Apr 3 02:16:30 2018 -0600
+
+    Increment version to 2.43.
+
 commit 4d0f6ba1b9c6ea2609b145f42ec9a39023e60706
 Author: John Bowman <bowman@ualberta.ca>
 Date:   Tue Apr 3 00:12:12 2018 -0600
diff --git a/Build/source/utils/asymptote/README b/Build/source/utils/asymptote/README
index eeac4d753ba..d64637a9c46 100644
--- a/Build/source/utils/asymptote/README
+++ b/Build/source/utils/asymptote/README
@@ -1,5 +1,5 @@
 			  ASYMPTOTE
-      Copyright 2004-17 Andy Hammerlindl, John Bowman, and Tom Prince
+      Copyright 2004-18 Andy Hammerlindl, John Bowman, and Tom Prince
 
 Asymptote is a powerful descriptive vector graphics language for technical
 drawing, inspired by MetaPost but with an improved C++-like
diff --git a/Build/source/utils/asymptote/ReleaseNotes b/Build/source/utils/asymptote/ReleaseNotes
index f4d9662efda..342e68bbe0b 100644
--- a/Build/source/utils/asymptote/ReleaseNotes
+++ b/Build/source/utils/asymptote/ReleaseNotes
@@ -1,3 +1,9 @@
+Release Notes for Version 2.43
+
+The real modulo operator was fixed. Vector SVG output is now supported for
+PDF tex engines. Compilation under MacOS X was fixed. Both 32- and 64-bit
+MSWindows binaries are now available.
+
 Release Notes for Version 2.42
 
 Bitreverse and popcount functions were added. An overflow in the modulo
diff --git a/Build/source/utils/asymptote/asy-keywords.el b/Build/source/utils/asymptote/asy-keywords.el
index 46071332287..13babcc2514 100644
--- a/Build/source/utils/asymptote/asy-keywords.el
+++ b/Build/source/utils/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 "2.42")
+(defvar asy-keywords-version "2.43")
 
 (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/Build/source/utils/asymptote/asy.list b/Build/source/utils/asymptote/asy.list
index dd53b3df0a5..f17e46f473f 100644
--- a/Build/source/utils/asymptote/asy.list
+++ b/Build/source/utils/asymptote/asy.list
@@ -1977,7 +1977,6 @@ bool3 operator init();
 autoscaleT operator init();
 position operator init();
 arrowhead operator init();
-sCAD operator init();
 frame NoBox(frame f);
 real animationdelay;
 animation operator init();
@@ -1994,24 +1993,24 @@ real[][] intersections(pair a, pair b, path p);
 real maxrefinements;
 real duplicateFuzz;
 path subdivide(path p);
-path[][] containmentTree(path[] paths);
 bool isDuplicate(pair a, pair b, real relSize);
 real fuzz;
 path removeDuplicates(path p);
+path[][] containmentTree(path[] paths);
 binarytree binarytree(... key[] keys);
 key nil;
 key key(int n, bool active=<default>);
 real minDistDefault;
 real nodeMarginDefault;
+key operator cast(int n);
+int operator cast(key k);
+int[] operator cast(key[] k);
 binarytreeNode binarytreeNode(int key);
-object draw(picture pic=<default>, binarytreeNode node, pair pos, int height, real minDist, real levelDist, real nodeDiameter, pen p=<default>, bool condensed=<default>);
-void draw(picture pic=<default>, binarytree tree, real minDist=<default>, real nodeMargin=<default>, pen p=<default>, bool condensed=<default>);
 binarytreeNode operator init();
 key operator init();
 binarytree operator init();
-key operator cast(int n);
-int operator cast(key k);
-int[] operator cast(key[] k);
+object draw(picture pic=<default>, binarytreeNode node, pair pos, int height, real minDist, real levelDist, real nodeDiameter, pen p=<default>, bool condensed=<default>);
+void draw(picture pic=<default>, binarytree tree, real minDist=<default>, real nodeMargin=<default>, pen p=<default>, bool condensed=<default>);
 binarytree searchtree(... int[] keys);
 real epsilon;
 void add(picture pic=<default>, face[] faces, projection P=<default>);
@@ -2024,6 +2023,16 @@ splitface operator init();
 bsp operator init();
 line intersection(face a, face b);
 splitface split(face a, face cut, projection P);
+sCAD operator init();
+vertex[][] contour3(triple[][][] v, real[][][] f, real[][][] midpoint=<default>, projection P=<default>);
+vertex[][] contour3(real[][][] f, real[][][] midpoint=<default>, triple a, triple b, projection P=<default>);
+vertex[][] contour3(real f(real, real, real), triple a, triple b, int nx=<default>, int ny=<default>, int nz=<default>, projection P=<default>);
+weighted operator init();
+bucket operator init();
+vertex operator init();
+object operator init();
+surface surface(vertex[][] g);
+real eps;
 void addseg(pair[][] gds, segment seg);
 pen[] extend(pen[] palette, pen below, pen above);
 guide[][] connect(pair[][][] points, real[] c, guide join(... guide[]));
@@ -2032,33 +2041,24 @@ segment case3(pair p0, pair p1, pair p2, real v0, real v1, real v2, int edge=<de
 segment case1(pair p0, pair p1, int edge);
 real eps;
 segment checktriangle(pair p0, pair p1, pair p2, real v0, real v1, real v2, int edge=<default>);
+segment case2(pair p0, pair p1, pair p2, real v0, real v1, real v2, int edge);
 guide[][] contour(pair[][] z, real[][] f, real[][] midpoint=<default>, real[] c, guide join(... guide[])=<default>);
 guide[][] contour(real[][] f, real[][] midpoint=<default>, pair a, pair b, real[] c, guide join(... guide[])=<default>);
 guide[][] contour(real f(real, real), pair a, pair b, real[] c, int nx=<default>, int ny=<default>, guide join(... guide[])=<default>);
 guide[][] contour(real f(pair), pair a, pair b, real[] c, int nx=<default>, int ny=<default>, guide join(... guide[])=<default>);
 guide[][] contour(pair[] z, real[] f, real[] c, guide join(... guide[])=<default>);
-segment case2(pair p0, pair p1, pair p2, real v0, real v1, real v2, int edge);
 segment operator init();
+pen[][] interior(picture pic=<default>, guide[][] g, pen[] palette);
 void draw(picture pic=<default>, Label[] L=<default>, guide[][] g, pen[] p);
 void draw(picture pic=<default>, Label[] L=<default>, guide[][] g, pen p=<default>);
-pen[][] interior(picture pic=<default>, guide[][] g, pen[] palette);
 void fill(picture pic=<default>, guide[][] g, pen[][] palette);
-vertex[][] contour3(triple[][][] v, real[][][] f, real[][][] midpoint=<default>, projection P=<default>);
-vertex[][] contour3(real[][][] f, real[][][] midpoint=<default>, triple a, triple b, projection P=<default>);
-vertex[][] contour3(real f(real, real, real), triple a, triple b, int nx=<default>, int ny=<default>, int nz=<default>, projection P=<default>);
-weighted operator init();
-bucket operator init();
-vertex operator init();
-object operator init();
-surface surface(vertex[][] g);
-real eps;
-real treeLevelStep;
 real treeMinNodeWidth;
 real treeNodeStep;
+TreeNode operator init();
 TreeNode makeNode(TreeNode parent=<default>, frame f);
 TreeNode makeNode(TreeNode parent=<default>, Label label);
-TreeNode operator init();
 void add(TreeNode child, TreeNode parent);
+real treeLevelStep;
 void draw(TreeNode root, pair pos);
 void drawAll(TreeNode node, frame f);
 real layout(int level, TreeNode node);
@@ -2091,35 +2091,35 @@ real photonamplitude;
 real gluonamplitude;
 real photonratio;
 pen gluonpen;
-pen fermionpen;
-real momarrowsize(pen p=<default>);
 void drawVertexX(picture pic=<default>, pair xy, real r=<default>, pen fgpen=<default>);
-real momarrowfactor;
 void drawVertexO(picture pic=<default>, pair xy, real r=<default>, pen fgpen=<default>, bool erasebg=<default>, pen bgpen=<default>);
-void fmdefaults();
-void texshipout(string stem, picture pic=<default>, bool xalign=<default>);
+real momarrowfactor;
+real momarrowlength;
 void drawVertexTriangleO(picture pic=<default>, pair xy, real r=<default>, pen fgpen=<default>, bool erasebg=<default>, pen bgpen=<default>);
 path photon(path p, real amp=<default>, real width=<default>);
-real momarrowlength;
-path gluon(path p, real amp=<default>, real width=<default>);
+void drawPhoton(picture pic=<default>, path p, real amp=<default>, real width=<default>, pen fgpen=<default>, bool erasebg=<default>, pen bgpen=<default>, real vertexangle=<default>, real margin=<default>);
 bool XYAlign;
-bool YAlign;
+path gluon(path p, real amp=<default>, real width=<default>);
+real momarrowsize(pen p=<default>);
+void fmdefaults();
+pen fermionpen;
 void drawFermion(picture pic=<default>, path p, pen fgpen=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool erasebg=<default>, pen bgpen=<default>, real vertexangle=<default>, real margin=<default>);
-void drawPhoton(picture pic=<default>, path p, real amp=<default>, real width=<default>, pen fgpen=<default>, bool erasebg=<default>, pen bgpen=<default>, real vertexangle=<default>, real margin=<default>);
 bool appendsuffix;
 pen vertexpen;
-real gluonratio;
 void drawGluon(picture pic=<default>, path p, real amp=<default>, real width=<default>, pen fgpen=<default>, bool erasebg=<default>, pen bgpen=<default>, real vertexangle=<default>, real margin=<default>);
 path momArrowPath(path p, align align, position pos, real offset=<default>, real length=<default>);
+real bigvertexsize;
+real gluonratio;
+void texshipout(string stem, picture pic=<default>, bool xalign=<default>);
 pen backgroundpen;
 pen ghostpen;
-void do_overpaint(picture pic, path p, pen bgpen, real halfwidth, real vertexangle);
 pen scalarpen;
+bool YAlign;
 void drawVertexBoxX(picture pic=<default>, pair xy, real r=<default>, pen fgpen=<default>, bool erasebg=<default>, pen bgpen=<default>);
-real bigvertexsize;
 void drawScalar(picture pic=<default>, path p, pen fgpen=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool erasebg=<default>, pen bgpen=<default>, real vertexangle=<default>, real margin=<default>);
 string includegraphicscommand;
 pen photonpen;
+void do_overpaint(picture pic, path p, pen bgpen, real halfwidth, real vertexangle);
 pen bigvertexpen;
 Dir Down;
 Dir Left;
@@ -2132,17 +2132,17 @@ Dir Up;
 Dir Right;
 real minblockwidth;
 block circle(object body, pair center=<default>, pen fillpen=<default>, pen drawpen=<default>, real dr=<default>, real mindiameter=<default>);
+path path(pair[] point ... flowdir[] dir);
+void draw(picture pic=<default>, block block, pen p=<default>);
 block operator --(block b1, Label label);
 block operator --(block b1, Dir dir);
 block operator --(block b, bool arrowbar(picture, path, pen, marginT(path, pen)));
-block rectangle(object header, object body, pair center=<default>, pen headerpen=<default>, pen bodypen=<default>, pen drawpen=<default>, real dx=<default>, real minheaderwidth=<default>, real minheaderheight=<default>, real minbodywidth=<default>, real minbodyheight=<default>);
-block rectangle(object body, pair center=<default>, pen fillpen=<default>, pen drawpen=<default>, real dx=<default>, real minwidth=<default>, real minheight=<default>);
 flowdir operator init();
 block operator init();
 Dir operator init();
 flowdir Vertical;
-path path(pair[] point ... flowdir[] dir);
-void draw(picture pic=<default>, block block, pen p=<default>);
+block rectangle(object header, object body, pair center=<default>, pen headerpen=<default>, pen bodypen=<default>, pen drawpen=<default>, real dx=<default>, real minheaderwidth=<default>, real minheaderheight=<default>, real minbodywidth=<default>, real minbodyheight=<default>);
+block rectangle(object body, pair center=<default>, pen fillpen=<default>, pen drawpen=<default>, real dx=<default>, real minwidth=<default>, real minheight=<default>);
 block blockconnector(block, block)(picture pic, transform t, pen p=<default>, marginT margin(path, pen)=<default>);
 block parallelogram(object body, pair center=<default>, pen fillpen=<default>, pen drawpen=<default>, real dx=<default>, real slope=<default>, real minwidth=<default>, real minheight=<default>);
 flowdir Horizontal;
@@ -2183,8 +2183,6 @@ transform projection(point A, point B);
 transform projection(point A, point B, point C, point D, bool safe=<default>);
 transform projection(line l);
 transform projection(line l1, line l2, bool safe=<default>);
-real EPS;
-bqe canonical(bqe bqe);
 pair operator *(coordsys R, pair p);
 path operator *(coordsys R, path g);
 coordsys operator *(transform t, coordsys R);
@@ -2236,13 +2234,17 @@ inversion inversion(point C, real k);
 inversion inversion(circle c1, circle c2, real sgn=<default>);
 inversion inversion(circle c1, circle c2, circle c3);
 inversion inversion(circle c);
+segment segment(point A, point B);
+segment segment(line l);
+segment segment(explicit side side);
 path compassmark(pair O, pair A, real position, real angle=<default>);
 path square(pair z1, pair z2);
 real[] bangles(picture pic=<default>, parabola p);
 real[][] bangles(picture pic=<default>, hyperbola h);
+line vline(coordsys R=<default>);
+line vline;
 vector vector(coordsys R=<default>, pair v);
 vector vector(point M);
-void clipdraw(picture pic=<default>, Label L=<default>, path g, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, real xmargin=<default>, real ymargin=<default>, Label legend=<default>, marker marker=<default>);
 line median(vertex V);
 line median(side side);
 real arclength(circle c);
@@ -2261,11 +2263,10 @@ void perpendicularmark(picture pic=<default>, point z, explicit pair align, path
 void perpendicularmark(picture pic=<default>, point z, vector align, path g, real size=<default>, pen p=<default>, marginT margin(path, pen)=<default>, filltype filltype=<default>);
 void perpendicularmark(picture pic=<default>, line l1, line l2, real size=<default>, pen p=<default>, int quarter=<default>, marginT margin(path, pen)=<default>, filltype filltype=<default>);
 void markrightangle(picture pic=<default>, point A, point O, point B, real size=<default>, pen p=<default>, marginT margin(path, pen)=<default>, filltype filltype=<default>);
+point ppoint(arc a, real x);
 line sector(int n=<default>, int p=<default>, line l1, line l2, real angle=<default>, bool sharp=<default>);
 line hline(coordsys R=<default>);
 line hline;
-circle incircle(point A, point B, point C);
-circle incircle(triangle t);
 real binomial(real n, real k);
 point point(coordsys R, pair p, real m=<default>);
 point point(explicit pair p, real m);
@@ -2312,17 +2313,27 @@ bool operator ==(coordsys c1, coordsys c2);
 bool operator ==(explicit point M, explicit point N);
 bool operator ==(explicit vector u, explicit vector v);
 bool operator ==(line l1, line l2);
-mass masscenter(... mass[] M);
 triangle triangleAbc(real alpha, real b, real c, real angle=<default>, point A=<default>);
-bool operator !=(explicit point M, explicit point N);
-bool operator !=(line l1, line l2);
-arc arcsubtended(point A, point B, real angle);
 vector unit(point M);
 vector unit(vector u);
 transform reflect(line l);
 transform reflect(line l1, line l2, bool safe=<default>);
+real EPS;
+bqe canonical(bqe bqe);
+point relpoint(line l, real x);
+point relpoint(explicit circle c, real x);
+point relpoint(explicit ellipse el, real x);
+point relpoint(explicit parabola p, real x);
+point relpoint(explicit hyperbola h, real x);
+point relpoint(explicit conic co, explicit real x);
+point relpoint(explicit conic co, explicit int x);
+point relpoint(arc a, real x);
+bool collinear(vector u, vector v);
+void clipdraw(picture pic=<default>, Label L=<default>, path g, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, real xmargin=<default>, real ymargin=<default>, Label legend=<default>, marker marker=<default>);
 real sharpdegrees(line l1, line l2);
-int ellipsenodesnumberfactor;
+mass masscenter(... mass[] M);
+bool inside(ellipse el, point M);
+bool inside(parabola p, point M);
 real degrees(explicit point M, coordsys R=<default>, bool warn=<default>);
 real degrees(vector v, coordsys R=<default>, bool warn=<default>);
 real degrees(line l, coordsys R=<default>);
@@ -2332,10 +2343,11 @@ point foot(vertex V);
 point foot(side side);
 point excenter(point A, point B, point C);
 point excenter(side side);
-triangle incentral(triangle t);
-point origin;
-point origin(coordsys R=<default>);
-string massformat(string format=<default>, string s, mass M);
+bool operator !=(explicit point M, explicit point N);
+bool operator !=(line l1, line l2);
+arc arcsubtended(point A, point B, real angle);
+real[] intersect(path g, explicit pair p, real fuzz=<default>);
+real[] intersect(path g, explicit point P, real fuzz=<default>);
 void write(explicit line l);
 void write(explicit segment s);
 void write(trilinear tri);
@@ -2345,6 +2357,7 @@ triangle isotomic(triangle t, point M);
 transform hprojection(line l, bool safe=<default>);
 point midpoint(segment s);
 point midpoint(side side);
+int ellipsenodesnumberfactor;
 pair operator cast(point P);
 pair[] operator cast(point[] P);
 point operator cast(pair p);
@@ -2396,28 +2409,7 @@ point curpoint(explicit ellipse el, real x);
 point curpoint(explicit parabola p, real x);
 point curpoint(conic co, real x);
 point curpoint(arc a, real x);
-point relpoint(line l, real x);
-point relpoint(explicit circle c, real x);
-point relpoint(explicit ellipse el, real x);
-point relpoint(explicit parabola p, real x);
-point relpoint(explicit hyperbola h, real x);
-point relpoint(explicit conic co, explicit real x);
-point relpoint(explicit conic co, explicit int x);
-point relpoint(arc a, real x);
-bool collinear(vector u, vector v);
-bool between(point M, point O, point N);
-void draw(picture pic=<default>, Label L=<default>, line l, bool dirA=<default>, bool dirB=<default>, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, Label legend=<default>, marker marker=<default>, path pathModifier(path)=<default>);
-void draw(picture pic=<default>, Label[] L=<default>, line[] l, align align=<default>, pen[] p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, Label[] legend=<default>, marker marker=<default>, path pathModifier(path)=<default>);
-void draw(picture pic=<default>, Label[] L=<default>, line[] l, align align=<default>, pen p, bool arrow(picture, path, pen, marginT(path, pen))=<default>, Label[] legend=<default>, marker marker=<default>, path pathModifier(path)=<default>);
-void draw(picture pic=<default>, Label L=<default>, circle c, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
-void draw(picture pic=<default>, Label L=<default>, ellipse el, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
-void draw(picture pic=<default>, Label L=<default>, parabola parabola, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
-void draw(picture pic=<default>, Label L=<default>, hyperbola h, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
-void draw(picture pic=<default>, Label L=<default>, explicit conic co, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
-void draw(picture pic=<default>, Label L=<default>, arc a, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
-void draw(picture pic=<default>, triangle t, pen p=<default>, marker marker=<default>);
-void draw(picture pic=<default>, triangle[] t, pen p=<default>, marker marker=<default>);
-int parabolanodesnumber(parabola p, real angle1, real angle2);
+triangle incentral(triangle t);
 line complementary(explicit line l);
 line[] complementary(explicit segment s);
 arc complementary(arc a);
@@ -2440,7 +2432,25 @@ mass operator init();
 triangle operator init();
 trilinear operator init();
 inversion operator init();
-triangle triangle(line l1, line l2, line l3);
+point circumcenter(point A, point B, point C);
+point circumcenter(triangle t);
+point origin;
+point origin(coordsys R=<default>);
+string massformat(string format=<default>, string s, mass M);
+transform xscale(real k, point M);
+void draw(picture pic=<default>, Label L=<default>, line l, bool dirA=<default>, bool dirB=<default>, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, Label legend=<default>, marker marker=<default>, path pathModifier(path)=<default>);
+void draw(picture pic=<default>, Label[] L=<default>, line[] l, align align=<default>, pen[] p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, Label[] legend=<default>, marker marker=<default>, path pathModifier(path)=<default>);
+void draw(picture pic=<default>, Label[] L=<default>, line[] l, align align=<default>, pen p, bool arrow(picture, path, pen, marginT(path, pen))=<default>, Label[] legend=<default>, marker marker=<default>, path pathModifier(path)=<default>);
+void draw(picture pic=<default>, Label L=<default>, circle c, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
+void draw(picture pic=<default>, Label L=<default>, ellipse el, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
+void draw(picture pic=<default>, Label L=<default>, parabola parabola, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
+void draw(picture pic=<default>, Label L=<default>, hyperbola h, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
+void draw(picture pic=<default>, Label L=<default>, explicit conic co, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
+void draw(picture pic=<default>, Label L=<default>, arc a, align align=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, bool bar(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, Label legend=<default>, marker marker=<default>);
+void draw(picture pic=<default>, triangle t, pen p=<default>, marker marker=<default>);
+void draw(picture pic=<default>, triangle[] t, pen p=<default>, marker marker=<default>);
+int parabolanodesnumber(parabola p, real angle1, real angle2);
+bool between(point M, point O, point N);
 transform vprojection(line l, bool safe=<default>);
 circle circumcircle(point A, point B, point C);
 circle circumcircle(triangle t);
@@ -2448,8 +2458,6 @@ pen addpenarc;
 pen addpenarc(pen p);
 line reverse(line l);
 arc reverse(arc a);
-line vline(coordsys R=<default>);
-line vline;
 pair[] intersectionpoints(pair A, pair B, real a, real b, real c, real d, real f, real g);
 pair[] intersectionpoints(pair A, pair B, real[] equation);
 point[] intersectionpoints(line l, path g);
@@ -2499,8 +2507,8 @@ line tangent(hyperbola h, abscissa x);
 line tangent(explicit arc a, abscissa x);
 line tangent(explicit arc a, point M);
 void drawline(picture pic=<default>, triangle t, pen p=<default>);
-bool inside(ellipse el, point M);
-bool inside(parabola p, point M);
+circle incircle(point A, point B, point C);
+circle incircle(triangle t);
 side opposite(vertex V);
 vertex opposite(side side);
 line[] operator ^^(line l1, line l2);
@@ -2553,38 +2561,12 @@ line line(coordsys R=<default>, real slope, real origin);
 line line(coordsys R=<default>, real a, real b, real c);
 line line(circle c);
 line line(explicit side side);
-point ppoint(arc a, real x);
 arc arc(ellipse el, real angle1, real angle2, path polarconicroutine(conic co, real angle1, real angle2, int n, bool direction)=<default>, bool direction=<default>);
 arc arc(ellipse el, explicit abscissa x1, explicit abscissa x2, bool direction=<default>);
 arc arc(ellipse el, point M, point N, bool direction=<default>);
 arc arc(explicit arc a, abscissa x1, abscissa x2);
 arc arc(explicit arc a, point M, point N);
 path arc(explicit pair B, explicit pair A, explicit pair C, real r);
-point operator -(explicit point P);
-point operator -(explicit point P1, explicit point P2);
-point operator -(explicit point P1, explicit pair p2);
-point operator -(explicit pair p1, explicit point P2);
-point operator -(point M, explicit vector v);
-vector operator -(explicit vector v);
-point operator -(explicit pair m, explicit vector v);
-vector operator -(explicit vector v1, explicit vector v2);
-line operator -(line l, vector u);
-conic operator -(conic c, explicit point M);
-conic operator -(conic c, explicit pair m);
-conic operator -(conic c, vector v);
-circle operator -(explicit circle c, explicit point M);
-circle operator -(explicit circle c, pair m);
-circle operator -(explicit circle c, vector m);
-abscissa operator -(explicit abscissa a);
-abscissa operator -(real x, explicit abscissa a);
-abscissa operator -(explicit abscissa a, real x);
-abscissa operator -(int x, explicit abscissa a);
-arc operator -(explicit arc a, point M);
-arc operator -(explicit arc a, vector v);
-mass operator -(mass M1, mass M2);
-mass operator -(explicit mass M, real x);
-mass operator -(explicit mass M, int x);
-real[] realquarticroots(real a, real b, real c, real d, real e);
 string defaultmassformat;
 coordsys canonicalcartesiansystem(ellipse el);
 coordsys canonicalcartesiansystem(parabola p);
@@ -2605,6 +2587,7 @@ ellipse ellipse(point F1, point F2, point M);
 ellipse ellipse(point C, real a, real b, real angle=<default>);
 ellipse ellipse(bqe bqe);
 ellipse ellipse(point M1, point M2, point M3, point M4, point M5);
+triangle triangle(line l1, line l2, line l3);
 path fromCenter(conic co, real angle1, real angle2, int n, bool direction);
 pen addpenline;
 pen addpenline(pen p);
@@ -2617,11 +2600,31 @@ abscissa nodabscissa(ellipse el, point M);
 abscissa nodabscissa(parabola p, point M);
 abscissa nodabscissa(conic co, point M);
 abscissa nodabscissa(arc a, point M);
-transform xscale(real k, point M);
-real[] intersect(path g, explicit pair p, real fuzz=<default>);
-real[] intersect(path g, explicit point P, real fuzz=<default>);
-point circumcenter(point A, point B, point C);
-point circumcenter(triangle t);
+point operator -(explicit point P);
+point operator -(explicit point P1, explicit point P2);
+point operator -(explicit point P1, explicit pair p2);
+point operator -(explicit pair p1, explicit point P2);
+point operator -(point M, explicit vector v);
+vector operator -(explicit vector v);
+point operator -(explicit pair m, explicit vector v);
+vector operator -(explicit vector v1, explicit vector v2);
+line operator -(line l, vector u);
+conic operator -(conic c, explicit point M);
+conic operator -(conic c, explicit pair m);
+conic operator -(conic c, vector v);
+circle operator -(explicit circle c, explicit point M);
+circle operator -(explicit circle c, pair m);
+circle operator -(explicit circle c, vector m);
+abscissa operator -(explicit abscissa a);
+abscissa operator -(real x, explicit abscissa a);
+abscissa operator -(explicit abscissa a, real x);
+abscissa operator -(int x, explicit abscissa a);
+arc operator -(explicit arc a, point M);
+arc operator -(explicit arc a, vector v);
+mass operator -(mass M1, mass M2);
+mass operator -(explicit mass M, real x);
+mass operator -(explicit mass M, int x);
+real[] realquarticroots(real a, real b, real c, real d, real e);
 line Ox(coordsys R=<default>);
 line Ox;
 real abs(coordsys R, pair m);
@@ -2647,9 +2650,6 @@ line[] tangents(circle c, point M);
 line[] tangents(ellipse el, point M);
 line[] tangents(parabola p, point M);
 line[] tangents(hyperbola h, point M);
-segment segment(point A, point B);
-segment segment(line l);
-segment segment(explicit side side);
 bool simeq(point A, point B, real fuzz=<default>);
 bool simeq(point a, real b, real fuzz=<default>);
 triangle triangleabc(real a, real b, real c, real angle=<default>, point A=<default>);
@@ -2822,6 +2822,117 @@ int[] numarray;
 line altitude(vertex V);
 line altitude(side side);
 int[] tricoef(side side);
+void labelz(picture pic=<default>, Label L=<default>, triple v, align align=<default>, string format=<default>, pen p=<default>);
+void labelx3(picture pic=<default>, Label L=<default>, real x, align align=<default>, string format=<default>, pen p=<default>);
+void ztick3(picture pic=<default>, real z, triple dir=<default>, real size=<default>, pen p=<default>);
+void ztick3(picture pic=<default>, Label L, real z, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
+void ztick(picture pic=<default>, triple v, triple dir=<default>, real size=<default>, pen p=<default>);
+void ztick(picture pic=<default>, Label L, triple v, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
+void ytick3(picture pic=<default>, real y, triple dir=<default>, real size=<default>, pen p=<default>);
+void ytick3(picture pic=<default>, Label L, real y, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
+void xaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real xmin=<default>, real xmax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>);
+void autoscale3(picture pic=<default>, void axis(picture, axisT));
+triple defaultdir(triple X, triple Y, triple Z, bool opposite=<default>, projection P);
+real ztrans(real[][] t, real z);
+void XYZero(picture, axisT)(triple align=<default>, bool extend=<default>);
+void XYZero(picture, axisT);
+void YZZero(picture, axisT)(triple align=<default>, bool extend=<default>);
+void YZZero(picture, axisT);
+void XZEquals(picture, axisT)(real x, real z, triple align=<default>, bool extend=<default>);
+void YZEquals(picture, axisT)(real y, real z, triple align=<default>, bool extend=<default>);
+void Bounds(picture, axisT)(int type=<default>, int type2=<default>, triple align=<default>, bool extend=<default>);
+void Bounds(picture, axisT);
+void InTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void InTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void InTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>);
+void NoTicks3(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)();
+void NoTicks3(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>);
+void Ticks3(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(int sign, Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks=<default>, real[] ticks=<default>, int N=<default>, bool begin=<default>, bool end=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void Ticks3(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(int sign, Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+surface bispline(real[][] z, real[][] p, real[][] q, real[][] r, real[] x, real[] y, bool[][] cond=<default>);
+void axes3(picture pic=<default>, Label xlabel=<default>, Label ylabel=<default>, Label zlabel=<default>, bool extend=<default>, triple min=<default>, triple max=<default>, pen p=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>);
+bool vperiodic(triple[][] a);
+bool uperiodic(triple[][] a);
+void zaxis3At(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real zmin=<default>, real zmax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>, bool opposite=<default>, bool opposite2=<default>, bool primary=<default>);
+void yaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>);
+path3[] segment(triple[] v, bool[] cond, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void yaxis3At(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>, bool opposite=<default>, bool opposite2=<default>, bool primary=<default>);
+real ScaleZ(picture pic=<default>, real z);
+triple tickMin3(picture pic);
+void axis(picture pic=<default>, Label L=<default>, path3 g, path3 g2=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>), ticklocate locate, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, int[] divisor=<default>, bool above=<default>, bool opposite=<default>);
+triple tickMax3(picture pic);
+void labely3(picture pic=<default>, Label L=<default>, real y, align align=<default>, string format=<default>, pen p=<default>);
+void(flatguide3)[][] lift(real f(real x, real y), guide[][] g, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void(flatguide3)[][] lift(real f(pair z), guide[][] g, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void xtick3(picture pic=<default>, real x, triple dir=<default>, real size=<default>, pen p=<default>);
+void xtick3(picture pic=<default>, Label L, real x, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
+void ytick(picture pic=<default>, triple v, triple dir=<default>, real size=<default>, pen p=<default>);
+void ytick(picture pic=<default>, Label L, triple v, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
+triple Dir(real)(triple dir);
+real xtrans(real[][] t, real x);
+real maxlength(triple f(pair z), pair a, pair b, int nu, int nv);
+real ytrans(real[][] t, real y);
+void draw(picture pic=<default>, Label[] L=<default>, void(flatguide3)[][] g, pen[] p, light light=<default>, string name=<default>, render render=<default>, interaction interaction=<default>);
+void draw(picture pic=<default>, Label[] L=<default>, void(flatguide3)[][] g, pen p=<default>, light light=<default>, string name=<default>, render render=<default>, interaction interaction=<default>);
+locateT operator init();
+void xtick(picture pic=<default>, triple v, triple dir=<default>, real size=<default>, pen p=<default>);
+void xtick(picture pic=<default>, Label L, triple v, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
+void zaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real zmin=<default>, real zmax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>);
+picture vectorfield(path3 vector(pair v), triple f(pair z), pair a, pair b, int nu=<default>, int nv=<default>, bool truesize=<default>, real maxlength=<default>, bool cond(pair z)=<default>, pen p=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, string name=<default>, render render=<default>);
+ticklocate ticklocate(real a, real b, autoscaleT S=<default>, real tickmin=<default>, real tickmax=<default>, real time(real)=<default>, triple dir(real));
+void OutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void OutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void OutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>);
+void label(picture pic, Label L, triple v, real x, align align, string format, pen p);
+void XZZero(picture, axisT)(triple align=<default>, bool extend=<default>);
+void XZZero(picture, axisT);
+void Straight(flatguide3)(... void(flatguide3)[]);
+path3 Circle(triple c, real r, triple normal=<default>, int n=<default>);
+void labelaxis(picture pic, real[][] T, Label L, path3 g, ticklocate locate=<default>, int sign=<default>, bool ticklabels=<default>);
+void xaxis3At(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real xmin=<default>, real xmax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>, bool opposite=<default>, bool opposite2=<default>, bool primary=<default>);
+void XYEquals(picture, axisT)(real x, real y, triple align=<default>, bool extend=<default>);
+void Spline(flatguide3)(... void(flatguide3)[]);
+void labelz3(picture pic=<default>, Label L=<default>, real z, align align=<default>, string format=<default>, pen p=<default>);
+void graph(flatguide3)(triple F(real), real, real, int)(void join(flatguide3)(... void(flatguide3)[]));
+void(flatguide3)[] graph(triple F(real), real, real, int)(void join(flatguide3)(... void(flatguide3)[]), bool3 cond(real));
+void graph(flatguide3)(picture pic=<default>, real x(real), real y(real), real z(real), real a, real b, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void(flatguide3)[] graph(picture pic=<default>, real x(real), real y(real), real z(real), real a, real b, int n=<default>, bool3 cond(real), void join(flatguide3)(... void(flatguide3)[])=<default>);
+void graph(flatguide3)(picture pic=<default>, triple v(real), real a, real b, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void(flatguide3)[] graph(picture pic=<default>, triple v(real), real a, real b, int n=<default>, bool3 cond(real), void join(flatguide3)(... void(flatguide3)[])=<default>);
+void graph(flatguide3)(picture pic=<default>, triple[] v, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void(flatguide3)[] graph(picture pic=<default>, triple[] v, bool3[] cond, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void graph(flatguide3)(picture pic=<default>, real[] x, real[] y, real[] z, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void(flatguide3)[] graph(picture pic=<default>, real[] x, real[] y, real[] z, bool3[] cond, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void graph(flatguide3)(triple F(path, real), path p, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void graph(flatguide3)(triple F(pair), path p, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void graph(flatguide3)(picture pic=<default>, real f(pair), path p, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
+void graph(flatguide3)(real f(pair), path p, int n=<default>, real T(pair), void join(flatguide3)(... void(flatguide3)[])=<default>);
+path3 Arc(triple c, triple v1, triple v2, triple normal=<default>, bool direction=<default>, int n=<default>);
+path3 Arc(triple c, real r, real theta1, real phi1, real theta2, real phi2, triple normal=<default>, bool direction, int n=<default>);
+path3 Arc(triple c, real r, real theta1, real phi1, real theta2, real phi2, triple normal=<default>, int n=<default>);
+void labeltick(picture pic, real[][] T, path3 g, ticklocate locate, real val, int sign, real Size, string ticklabel(real), Label F, real norm=<default>);
+void labelx(picture pic=<default>, Label L=<default>, triple v, align align=<default>, string format=<default>, pen p=<default>);
+void drawtick(picture pic, real[][] T, path3 g, path3 g2, ticklocate locate, real val, real Size, int sign, pen p, bool extend);
+void labely(picture pic=<default>, Label L=<default>, triple v, align align=<default>, string format=<default>, pen p=<default>);
+void tick(picture pic=<default>, triple v, triple dir, real size=<default>, pen p=<default>);
+void tick(picture pic=<default>, Label L, real value, triple v, triple dir, string format=<default>, real size=<default>, pen p=<default>);
+void polargraph(flatguide3)(real r(real, real), real theta(real), real phi(real), int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
+triple ticklabelshift(triple align, pen p=<default>);
+triple polar(real r, real theta, real phi);
+triple Scale(picture pic=<default>, triple v);
+void limits(picture pic=<default>, triple min, triple max);
+void InOutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void InOutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void InOutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>);
+surface surface(triple[][] f, bool[][] cond=<default>);
+surface surface(real[][] f, real[] x, real[] y, real[] xsplinetype(real[], real[])=<default>, real[] ysplinetype(real[], real[])=<default>, bool[][] cond=<default>);
+surface surface(real[][] f, pair a, pair b, real[] xsplinetype(real[], real[]), real[] ysplinetype(real[], real[])=<default>, bool[][] cond=<default>);
+surface surface(real[][] f, pair a, pair b, bool[][] cond=<default>);
+surface surface(triple f(pair z), pair a, pair b, int nu=<default>, int nv=<default>, bool cond(pair z)=<default>);
+surface surface(triple f(pair z), pair a, pair b, int nu=<default>, int nv=<default>, real[](real[], real[])[] usplinetype, real[](real[], real[])[] vsplinetype=<default>, bool cond(pair z)=<default>);
+surface surface(real f(pair z), pair a, pair b, int nx=<default>, int ny=<default>, bool cond(pair z)=<default>);
+surface surface(real f(pair z), pair a, pair b, int nx=<default>, int ny=<default>, real[] xsplinetype(real[], real[]), real[] ysplinetype(real[], real[])=<default>, bool cond(pair z)=<default>);
+void zlimits(picture pic=<default>, real min=<default>, real max=<default>, bool crop=<default>);
 path Arc(pair c, real r, real angle1, real angle2, bool direction, int n=<default>);
 path Arc(pair c, real r, real angle1, real angle2, int n=<default>);
 path Arc(pair c, explicit pair z1, explicit pair z2, bool direction=<default>, int n=<default>);
@@ -2854,8 +2965,6 @@ void labelx(picture pic=<default>, Label L=<default>, real x, align align=<defau
 void labelx(picture pic=<default>, Label L, string format=<default>, explicit pen p=<default>);
 void tick(picture pic=<default>, pair z, pair dir, real size=<default>, pen p=<default>);
 void tick(picture pic=<default>, Label L, real value, explicit pair z, pair dir, string format=<default>, real size=<default>, pen p=<default>);
-void yaxis(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>, bool autorotate=<default>);
-void xaxis(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real xmin=<default>, real xmax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>);
 void limits(picture pic=<default>, pair min, pair max, bool crop=<default>);
 void ylimits(picture pic=<default>, real min=<default>, real max=<default>, bool crop=<default>);
 void xaxisAt(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real xmin=<default>, real xmax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>, bool opposite=<default>);
@@ -2871,12 +2980,14 @@ void RightTicks(frame, transform, Label, pair, path, path, pen, bool(picture, pa
 void RightTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>);
 void NoTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)();
 void NoTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>);
+tickvalues OmitTickIntervals(tickvalues)(real[] a, real[] b);
 void Ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(int sign, Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks=<default>, real[] ticks=<default>, int N=<default>, bool begin=<default>, bool end=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
 void Ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(int sign, Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
 void Ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
 void Ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
 void Ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>);
 real zerotickfuzz;
+void xaxis(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real xmin=<default>, real xmax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>);
 void drawtick(frame f, transform T, path g, path g2, ticklocate locate, real val, real Size, int sign, pen p, bool extend);
 pair ticklabelshift(pair align, pen p=<default>);
 string DefaultFormat(real);
@@ -2886,19 +2997,20 @@ bool logaxiscoverage(int N, transform T, path g, ticklocate locate, pair side, i
 pair labeltick(frame d, transform T, path g, ticklocate locate, real val, pair side, int sign, real Size, string ticklabel(real), Label F, real norm=<default>);
 int[] divisors(int a, int b);
 scientific scientific(real x);
+Label Break;
+tickvalues Break(tickvalues)(real, real);
 scaleT Linear;
 scaleT Linear(bool automin=<default>, bool automax=<default>, real s=<default>, real intercept=<default>);
 bool axiscoverage(int N, transform T, path g, ticklocate locate, real Step, pair side, int sign, real Size, Label F, string ticklabel(real), real norm, real limit);
-Label Break;
-tickvalues Break(tickvalues)(real, real);
 void errorbar(picture pic, pair z, pair dp, pair dm, pen p=<default>, real size=<default>);
 real linear(real)(real S(real x)=<default>, real Min, real Max);
+void yaxisAt(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>, bool opposite=<default>);
 tickvalues None(tickvalues v);
-path[] segment(pair[] z, bool[] cond, guide join(... guide[])=<default>);
+int Value;
 int Max;
 tickvalues NoZero(tickvalues);
 autoscaleT defaultS;
-real ScaleY(picture pic=<default>, real y);
+real ScaleX(picture pic=<default>, real x);
 void yequals(picture pic=<default>, Label L=<default>, real y, bool extend=<default>, real xmin=<default>, real xmax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>);
 guide Spline(... guide[]);
 bounds autoscale(real Min, real Max, scaleT scale=<default>);
@@ -2908,6 +3020,7 @@ void Right(picture, axisT);
 void errorbars(picture pic=<default>, pair[] z, pair[] dp, pair[] dm=<default>, bool[] cond=<default>, pen p=<default>, real size=<default>);
 void errorbars(picture pic=<default>, real[] x, real[] y, real[] dpx, real[] dpy, real[] dmx=<default>, real[] dmy=<default>, bool[] cond=<default>, pen p=<default>, real size=<default>);
 void errorbars(picture pic=<default>, real[] x, real[] y, real[] dpy, bool[] cond=<default>, pen p=<default>, real size=<default>);
+scaleT Logarithmic;
 void XZero(picture, axisT)(bool extend=<default>);
 void XZero(picture, axisT);
 void LeftRight(picture, axisT)(bool extend=<default>);
@@ -2920,44 +3033,47 @@ string LogFormat(real);
 void BottomTop(picture, axisT)(bool extend=<default>);
 void BottomTop(picture, axisT);
 void checkconditionlength(int x, int y);
-pair zero(real);
-void label(picture pic, Label L, pair z, real x, align align, string format, pen p);
 pair tickMin(picture pic);
+tickvalues OmitTickInterval(tickvalues)(real a, real b);
 tickvalues generateticks(int sign, Label F=<default>, string ticklabel(real)=<default>, int N, int n=<default>, real Step=<default>, real step=<default>, real Size=<default>, real size=<default>, transform T, pair side, path g, real limit, pen p, ticklocate locate, int[] divisor, bool opposite);
 int Both;
 ticklocate ticklocate(real a, real b, autoscaleT S=<default>, real tickmin=<default>, real tickmax=<default>, real time(real)=<default>, pair dir(real)=<default>);
+pair zero(real);
+void label(picture pic, Label L, pair z, real x, align align, string format, pen p);
+real ScaleY(picture pic=<default>, real y);
 string NoZeroFormat(real);
 string trailingzero;
 picture vectorfield(path vector(real), path g, int n, bool truesize=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>);
 picture vectorfield(path vector(pair), pair a, pair b, int nx=<default>, int ny=<default>, bool truesize=<default>, real maxlength=<default>, bool cond(pair z)=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>);
-tickvalues OmitTick(tickvalues)(... real[] x);
 void Top(picture, axisT)(bool extend=<default>);
 void Top(picture, axisT);
-real maxlength(pair a, pair b, int nx, int ny);
-real ScaleX(picture pic=<default>, real x);
 pair tickMax(picture pic);
+tickvalues OmitTick(tickvalues)(... real[] x);
+scaleT BrokenLog(real a, real b, bool automin=<default>, bool automax=<default>);
+void yaxis(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>, bool autorotate=<default>);
 scientific operator init();
 bounds operator init();
 ticklocate operator init();
 locateT operator init();
 tickvalues operator init();
 axisT operator init();
-scaleT Logarithmic;
+real maxlength(pair a, pair b, int nx, int ny);
 real xtrans(transform t, real x);
-void LeftTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void LeftTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void LeftTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>);
-void yaxisAt(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>, bool opposite=<default>);
 pair Scale(picture pic=<default>, pair z);
+void ytick(picture pic=<default>, explicit pair z, pair dir=<default>, real size=<default>, pen p=<default>);
+void ytick(picture pic=<default>, real y, pair dir=<default>, real size=<default>, pen p=<default>);
+void ytick(picture pic=<default>, Label L, explicit pair z, pair dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
+void ytick(picture pic=<default>, Label L, real y, pair dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
 void xequals(picture pic=<default>, Label L=<default>, real x, bool extend=<default>, real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>);
 scaleT Log;
 scaleT Log(bool automin=<default>, bool automax=<default>);
 string signedtrailingzero;
-scaleT BrokenLog(real a, real b, bool automin=<default>, bool automax=<default>);
+void LeftTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void LeftTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
+void LeftTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>);
 void xlimits(picture pic=<default>, real min=<default>, real max=<default>, bool crop=<default>);
 void scale(picture pic=<default>, scaleT x, scaleT y=<default>, scaleT z=<default>);
 void scale(picture pic=<default>, bool xautoscale=<default>, bool yautoscale=<default>, bool zautoscale=<default>);
-int Value;
 void Bottom(picture, axisT)(bool extend=<default>);
 void Bottom(picture, axisT);
 void xtick(picture pic=<default>, explicit pair z, pair dir=<default>, real size=<default>, pen p=<default>);
@@ -2965,133 +3081,17 @@ void xtick(picture pic=<default>, real x, pair dir=<default>, real size=<default
 void xtick(picture pic=<default>, Label L, explicit pair z, pair dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
 void xtick(picture pic=<default>, Label L, real x, pair dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
 string autoformat(string format=<default>, real norm ... real[] a);
-void ytick(picture pic=<default>, explicit pair z, pair dir=<default>, real size=<default>, pen p=<default>);
-void ytick(picture pic=<default>, real y, pair dir=<default>, real size=<default>, pen p=<default>);
-void ytick(picture pic=<default>, Label L, explicit pair z, pair dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
-void ytick(picture pic=<default>, Label L, real y, pair dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
-string baselinetemplate;
+path[] segment(pair[] z, bool[] cond, guide join(... guide[])=<default>);
 guide Straight(... guide[]);
 scaleT Broken(real a, real b, bool automin=<default>, bool automax=<default>);
-tickvalues OmitTickIntervals(tickvalues)(real[] a, real[] b);
 axisT axis;
 void axis(picture pic=<default>, Label L=<default>, path g, path g2=<default>, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>), ticklocate locate, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, int[] divisor=<default>, bool above=<default>, bool opposite=<default>);
 string DefaultLogFormat(real)(int base);
 string DefaultLogFormat(real);
-tickvalues OmitTickInterval(tickvalues)(real a, real b);
 void crop(picture pic=<default>);
+string baselinetemplate;
 void axes(picture pic=<default>, Label xlabel=<default>, Label ylabel=<default>, bool extend=<default>, pair min=<default>, pair max=<default>, pen p=<default>, bool arrow(picture, path, pen, marginT(path, pen))=<default>, marginT margin(path, pen)=<default>, bool above=<default>);
 string OmitFormat(real)(string s=<default> ... real[] x);
-void labelz(picture pic=<default>, Label L=<default>, triple v, align align=<default>, string format=<default>, pen p=<default>);
-void labelx3(picture pic=<default>, Label L=<default>, real x, align align=<default>, string format=<default>, pen p=<default>);
-void ztick3(picture pic=<default>, real z, triple dir=<default>, real size=<default>, pen p=<default>);
-void ztick3(picture pic=<default>, Label L, real z, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
-void ztick(picture pic=<default>, triple v, triple dir=<default>, real size=<default>, pen p=<default>);
-void ztick(picture pic=<default>, Label L, triple v, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
-void ytick3(picture pic=<default>, real y, triple dir=<default>, real size=<default>, pen p=<default>);
-void ytick3(picture pic=<default>, Label L, real y, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
-void yaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>);
-void autoscale3(picture pic=<default>, void axis(picture, axisT));
-void zaxis3At(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real zmin=<default>, real zmax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>, bool opposite=<default>, bool opposite2=<default>, bool primary=<default>);
-void yaxis3At(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real ymin=<default>, real ymax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>, bool opposite=<default>, bool opposite2=<default>, bool primary=<default>);
-void xaxis3At(picture pic=<default>, Label L=<default>, void axis(picture, axisT), real xmin=<default>, real xmax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>, bool opposite=<default>, bool opposite2=<default>, bool primary=<default>);
-triple defaultdir(triple X, triple Y, triple Z, bool opposite=<default>, projection P);
-real ztrans(real[][] t, real z);
-void XYZero(picture, axisT)(triple align=<default>, bool extend=<default>);
-void XYZero(picture, axisT);
-void YZZero(picture, axisT)(triple align=<default>, bool extend=<default>);
-void YZZero(picture, axisT);
-void XZEquals(picture, axisT)(real x, real z, triple align=<default>, bool extend=<default>);
-void YZEquals(picture, axisT)(real y, real z, triple align=<default>, bool extend=<default>);
-void Bounds(picture, axisT)(int type=<default>, int type2=<default>, triple align=<default>, bool extend=<default>);
-void Bounds(picture, axisT);
-void InTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void InTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void InTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>);
-void NoTicks3(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)();
-void NoTicks3(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>);
-void Ticks3(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(int sign, Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks=<default>, real[] ticks=<default>, int N=<default>, bool begin=<default>, bool end=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void Ticks3(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(int sign, Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-surface bispline(real[][] z, real[][] p, real[][] q, real[][] r, real[] x, real[] y, bool[][] cond=<default>);
-void axes3(picture pic=<default>, Label xlabel=<default>, Label ylabel=<default>, Label zlabel=<default>, bool extend=<default>, triple min=<default>, triple max=<default>, pen p=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>);
-void zlimits(picture pic=<default>, real min=<default>, real max=<default>, bool crop=<default>);
-bool vperiodic(triple[][] a);
-void xtick3(picture pic=<default>, real x, triple dir=<default>, real size=<default>, pen p=<default>);
-void xtick3(picture pic=<default>, Label L, real x, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
-bool uperiodic(triple[][] a);
-void OutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void OutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void OutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>);
-triple tickMin3(picture pic);
-void axis(picture pic=<default>, Label L=<default>, path3 g, path3 g2=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>), ticklocate locate, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, int[] divisor=<default>, bool above=<default>, bool opposite=<default>);
-triple tickMax3(picture pic);
-void draw(picture pic=<default>, Label[] L=<default>, void(flatguide3)[][] g, pen[] p, light light=<default>, string name=<default>, render render=<default>, interaction interaction=<default>);
-void draw(picture pic=<default>, Label[] L=<default>, void(flatguide3)[][] g, pen p=<default>, light light=<default>, string name=<default>, render render=<default>, interaction interaction=<default>);
-void labely3(picture pic=<default>, Label L=<default>, real y, align align=<default>, string format=<default>, pen p=<default>);
-void ytick(picture pic=<default>, triple v, triple dir=<default>, real size=<default>, pen p=<default>);
-void ytick(picture pic=<default>, Label L, triple v, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
-void Straight(flatguide3)(... void(flatguide3)[]);
-real xtrans(real[][] t, real x);
-void(flatguide3)[][] lift(real f(real x, real y), guide[][] g, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void(flatguide3)[][] lift(real f(pair z), guide[][] g, void join(flatguide3)(... void(flatguide3)[])=<default>);
-real maxlength(triple f(pair z), pair a, pair b, int nu, int nv);
-locateT operator init();
-triple Dir(real)(triple dir);
-void xtick(picture pic=<default>, triple v, triple dir=<default>, real size=<default>, pen p=<default>);
-void xtick(picture pic=<default>, Label L, triple v, triple dir=<default>, string format=<default>, real size=<default>, pen p=<default>);
-picture vectorfield(path3 vector(pair v), triple f(pair z), pair a, pair b, int nu=<default>, int nv=<default>, bool truesize=<default>, real maxlength=<default>, bool cond(pair z)=<default>, pen p=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, string name=<default>, render render=<default>);
-void label(picture pic, Label L, triple v, real x, align align, string format, pen p);
-ticklocate ticklocate(real a, real b, autoscaleT S=<default>, real tickmin=<default>, real tickmax=<default>, real time(real)=<default>, triple dir(real));
-void XZZero(picture, axisT)(triple align=<default>, bool extend=<default>);
-void XZZero(picture, axisT);
-real ytrans(real[][] t, real y);
-path3 Circle(triple c, real r, triple normal=<default>, int n=<default>);
-void labelaxis(picture pic, real[][] T, Label L, path3 g, ticklocate locate=<default>, int sign=<default>, bool ticklabels=<default>);
-void XYEquals(picture, axisT)(real x, real y, triple align=<default>, bool extend=<default>);
-real ScaleZ(picture pic=<default>, real z);
-void Spline(flatguide3)(... void(flatguide3)[]);
-void labelz3(picture pic=<default>, Label L=<default>, real z, align align=<default>, string format=<default>, pen p=<default>);
-path3[] segment(triple[] v, bool[] cond, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void graph(flatguide3)(triple F(real), real, real, int)(void join(flatguide3)(... void(flatguide3)[]));
-void(flatguide3)[] graph(triple F(real), real, real, int)(void join(flatguide3)(... void(flatguide3)[]), bool3 cond(real));
-void graph(flatguide3)(picture pic=<default>, real x(real), real y(real), real z(real), real a, real b, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void(flatguide3)[] graph(picture pic=<default>, real x(real), real y(real), real z(real), real a, real b, int n=<default>, bool3 cond(real), void join(flatguide3)(... void(flatguide3)[])=<default>);
-void graph(flatguide3)(picture pic=<default>, triple v(real), real a, real b, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void(flatguide3)[] graph(picture pic=<default>, triple v(real), real a, real b, int n=<default>, bool3 cond(real), void join(flatguide3)(... void(flatguide3)[])=<default>);
-void graph(flatguide3)(picture pic=<default>, triple[] v, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void(flatguide3)[] graph(picture pic=<default>, triple[] v, bool3[] cond, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void graph(flatguide3)(picture pic=<default>, real[] x, real[] y, real[] z, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void(flatguide3)[] graph(picture pic=<default>, real[] x, real[] y, real[] z, bool3[] cond, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void graph(flatguide3)(triple F(path, real), path p, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void graph(flatguide3)(triple F(pair), path p, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void graph(flatguide3)(picture pic=<default>, real f(pair), path p, int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
-void graph(flatguide3)(real f(pair), path p, int n=<default>, real T(pair), void join(flatguide3)(... void(flatguide3)[])=<default>);
-void xaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real xmin=<default>, real xmax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>);
-path3 Arc(triple c, triple v1, triple v2, triple normal=<default>, bool direction=<default>, int n=<default>);
-path3 Arc(triple c, real r, real theta1, real phi1, real theta2, real phi2, triple normal=<default>, bool direction, int n=<default>);
-path3 Arc(triple c, real r, real theta1, real phi1, real theta2, real phi2, triple normal=<default>, int n=<default>);
-void labeltick(picture pic, real[][] T, path3 g, ticklocate locate, real val, int sign, real Size, string ticklabel(real), Label F, real norm=<default>);
-void labelx(picture pic=<default>, Label L=<default>, triple v, align align=<default>, string format=<default>, pen p=<default>);
-void labely(picture pic=<default>, Label L=<default>, triple v, align align=<default>, string format=<default>, pen p=<default>);
-void drawtick(picture pic, real[][] T, path3 g, path3 g2, ticklocate locate, real val, real Size, int sign, pen p, bool extend);
-void tick(picture pic=<default>, triple v, triple dir, real size=<default>, pen p=<default>);
-void tick(picture pic=<default>, Label L, real value, triple v, triple dir, string format=<default>, real size=<default>, pen p=<default>);
-void polargraph(flatguide3)(real r(real, real), real theta(real), real phi(real), int n=<default>, void join(flatguide3)(... void(flatguide3)[])=<default>);
-triple ticklabelshift(triple align, pen p=<default>);
-triple polar(real r, real theta, real phi);
-triple Scale(picture pic=<default>, triple v);
-void limits(picture pic=<default>, triple min, triple max);
-void InOutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, tickvalues modify(tickvalues)=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void InOutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, real[] Ticks, real[] ticks=<default>, real Size=<default>, real size=<default>, bool extend=<default>, pen pTick=<default>, pen ptick=<default>);
-void InOutTicks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>);
-surface surface(triple[][] f, bool[][] cond=<default>);
-surface surface(real[][] f, real[] x, real[] y, real[] xsplinetype(real[], real[])=<default>, real[] ysplinetype(real[], real[])=<default>, bool[][] cond=<default>);
-surface surface(real[][] f, pair a, pair b, real[] xsplinetype(real[], real[]), real[] ysplinetype(real[], real[])=<default>, bool[][] cond=<default>);
-surface surface(real[][] f, pair a, pair b, bool[][] cond=<default>);
-surface surface(triple f(pair z), pair a, pair b, int nu=<default>, int nv=<default>, bool cond(pair z)=<default>);
-surface surface(triple f(pair z), pair a, pair b, int nu=<default>, int nv=<default>, real[](real[], real[])[] usplinetype, real[](real[], real[])[] vsplinetype=<default>, bool cond(pair z)=<default>);
-surface surface(real f(pair z), pair a, pair b, int nx=<default>, int ny=<default>, bool cond(pair z)=<default>);
-surface surface(real f(pair z), pair a, pair b, int nx=<default>, int ny=<default>, real[] xsplinetype(real[], real[]), real[] ysplinetype(real[], real[])=<default>, bool cond(pair z)=<default>);
-void zaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, real zmin=<default>, real zmax=<default>, pen p=<default>, void ticks(picture, real[][], Label, path3, path3, pen, bool(picture, path3, material, marginT3(path3, pen), light, light), marginT3(path3, pen), ticklocate, int[], bool opposite=<default>, bool primary=<default>)=<default>, bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, marginT3 margin(path3, pen)=<default>, bool above=<default>);
 real axiscoverage;
 real Ticksize;
 real ticksize;
@@ -3099,10 +3099,10 @@ int nmesh;
 int nCircle;
 real epsilon;
 real ylabelwidth;
-int ngraph;
 real axislabelfactor;
-bool Crop;
 bool NoCrop;
+int ngraph;
+bool Crop;
 guide hermite(real[] x, real[] y, real[] splinetype(real[], real[])=<default>);
 real[] monotonic(real[] x, real[] y);
 real[] clamped(real[], real[])(real slopea, real slopeb);
@@ -3113,8 +3113,8 @@ real[] Spline(real[] x, real[] y);
 real[](real[], real[])[] Spline;
 real[] notaknot(real[] x, real[] y);
 real[] periodic(real[] x, real[] y);
-void checklengths(int x, int y, string text=<default>);
 real[] natural(real[] x, real[] y);
+void checklengths(int x, int y, string text=<default>);
 void checkincreasing(real[] x);
 grid3(picture pic)[] YX_YZgrid(position posa=<default>, position posb=<default>);
 grid3(picture pic)[] YX_YZgrid;
@@ -3136,16 +3136,18 @@ grid3 YXgrid(picture pic)(position pos=<default>);
 grid3 YXgrid(picture pic);
 grid3 XYgrid(picture pic)(position pos=<default>);
 grid3 XYgrid(picture pic);
+void xaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, pen p=<default>, ticksgridT ticks(), bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, bool above=<default>);
 ticksgridT InTicks()(Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, real Size=<default>, real size=<default>, pen pTick=<default>, pen ptick=<default>, grid3(picture pic)[][] gridroutine, pen pGrid=<default>, pen pgrid=<default>);
-void yaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, pen p=<default>, ticksgridT ticks(), bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, bool above=<default>);
-position middle;
+grid3(picture pic)[][] XYZgrid(position pos=<default>);
+grid3(picture pic)[][] XYZgrid;
 grid3(picture pic)[] YXYgrid(position pos=<default>);
 grid3(picture pic)[] YXYgrid;
 grid3(picture pic)[] ZX_ZYgrid(position posa=<default>, position posb=<default>);
 grid3(picture pic)[] ZX_ZYgrid;
-ticksgridT OutTicks()(Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, real Size=<default>, real size=<default>, pen pTick=<default>, pen ptick=<default>, grid3(picture pic)[][] gridroutine, pen pGrid=<default>, pen pgrid=<default>);
+position middle;
+void grid3(picture pic=<default>, grid3(picture pic)[][] gridroutine=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, pen pGrid=<default>, pen pgrid=<default>, bool above=<default>);
+void grid3(picture pic=<default>, grid3(picture pic)[][] gridroutine, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, pen[] pGrid, pen[] pgrid, bool above=<default>);
 position top;
-triple ZX(picture pic);
 triple X(picture pic);
 grid3 operator init();
 ticksgridT operator init();
@@ -3154,21 +3156,19 @@ grid3(picture pic)[] operator cast(grid3 gridroutine(picture pic));
 grid3(picture pic)[][] operator cast(grid3(picture pic)[] gridroutine);
 grid3(picture pic)[][] operator cast(grid3 gridroutine(picture pic));
 position bottom;
-void grid3(picture pic=<default>, grid3(picture pic)[][] gridroutine=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, pen pGrid=<default>, pen pgrid=<default>, bool above=<default>);
-void grid3(picture pic=<default>, grid3(picture pic)[][] gridroutine, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, pen[] pGrid, pen[] pgrid, bool above=<default>);
+triple ZX(picture pic);
+ticksgridT OutTicks()(Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, real Size=<default>, real size=<default>, pen pTick=<default>, pen ptick=<default>, grid3(picture pic)[][] gridroutine, pen pGrid=<default>, pen pgrid=<default>);
 grid3(picture pic)[] XY_XZgrid(position posa=<default>, position posb=<default>);
 grid3(picture pic)[] XY_XZgrid;
+void yaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, pen p=<default>, ticksgridT ticks(), bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, bool above=<default>);
 grid3(picture pic)[] ZYZgrid(position pos=<default>);
 grid3(picture pic)[] ZYZgrid;
 grid3(picture pic)[] XYXgrid(position pos=<default>);
 grid3(picture pic)[] XYXgrid;
-void xaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, pen p=<default>, ticksgridT ticks(), bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, bool above=<default>);
 ticksgridT InOutTicks()(Label F=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, bool begin=<default>, bool end=<default>, real Size=<default>, real size=<default>, pen pTick=<default>, pen ptick=<default>, grid3(picture pic)[][] gridroutine, pen pGrid=<default>, pen pgrid=<default>);
-triple YZ(picture pic);
-triple XY(picture pic);
 void zaxis3(picture pic=<default>, Label L=<default>, void axis(picture, axisT)=<default>, pen p=<default>, ticksgridT ticks(), bool arrow(picture, path3, material, marginT3(path3, pen), light, light)=<default>, bool above=<default>);
-grid3(picture pic)[][] XYZgrid(position pos=<default>);
-grid3(picture pic)[][] XYZgrid;
+triple XY(picture pic);
+triple YZ(picture pic);
 triple Z(picture pic);
 real fspline(real)(real[] x, real[] y, real[] splinetype(real[], real[])=<default>);
 real fhorner(real)(horner sh);
@@ -3176,16 +3176,16 @@ horner operator init();
 horner hdiffdiv(real[] x, real[] y, real[] dy);
 real pwhermite(real)(real[] x, real[] y, real[] dy);
 horner diffdiv(real[] x, real[] y);
+surface labelpath(string s, path3 p, real angle=<default>, triple optional=<default>);
+triple nextnormal(triple p, triple q);
+triple[] nextframe(path3 p, real reltimestart, triple[] start, real reltimeend, int subdiv=<default>);
+triple[] firstframe(path3 p, triple optional=<default>);
+real eps;
 void labelpath(frame f, Label L, path g, string justify=<default>, pen p=<default>);
 void labelpath(picture pic=<default>, Label L, path g, string justify=<default>, pen p=<default>);
 string RightJustified;
 string Centered;
 string LeftJustified;
-surface labelpath(string s, path3 p, real angle=<default>, triple optional=<default>);
-triple nextnormal(triple p, triple q);
-triple[] firstframe(path3 p, triple optional=<default>);
-triple[] nextframe(path3 p, real reltimestart, triple[] start, real reltimeend, int subdiv=<default>);
-real eps;
 FitControl defaultControl;
 void lm_lmpar(int n, real[] r, int ldr, int[] ipvt, real[] diag, real[] qtb, real delta, lm_real_type par, real[] x, real[] sdiag, real[] wa1, real[] wa2);
 void lm_qrfac(int m, int n, real[] a, bool pivot, int[] ipvt, real[] rdiag, real[] acnorm, real[] wa);
@@ -3276,31 +3276,31 @@ real acsc(real x);
 real sec(real x);
 real csc(real x);
 int quadrant(real degrees);
-int[][] segment(bool[] b);
 pair exp(explicit pair z);
-string nopoint;
+real intersect(pair p, pair q, pair z);
+real intersect(triple P, triple Q, triple n, triple Z);
 real cot(real x);
 pair log(explicit pair z);
+pair unityroot(int n, int k=<default>);
 triple intersectionpoint(triple n0, triple P0, triple n1, triple P1);
 real[] zero(int n);
 real[][] zero(int n, int m);
 real findroot(real f(real), real a, real b, real tolerance=<default>, real fa=<default>, real fb=<default>);
+string nopoint;
 void drawline(picture pic=<default>, pair P, pair Q, pen p=<default>);
 rootfinder_settings operator init();
 real acot(real x);
-real intersect(pair p, pair q, pair z);
-real intersect(triple P, triple Q, triple n, triple Z);
-pair unityroot(int n, int k=<default>);
-int[][] segmentlimits(bool[] b);
 bool polygon(path p);
 bool increasing(real[] a, bool strict=<default>);
 bool square(real[][] m);
+int[][] segment(bool[] b);
+int[][] segmentlimits(bool[] b);
 path cuttings;
 path cutafter(path p, path q);
 path cutbefore(path p, path q);
 obj operator *(real[][] T, obj o);
-obj operator init();
 void draw(picture pic=<default>, obj o, light light=<default>);
+obj operator init();
 real[][] finiteDifferenceJacobian(real[] f(real[]), real[] t, real[] h=<default>);
 solution integrate(real y, real c=<default>, real f(real t, real y), real a, real b=<default>, real h=<default>, int n=<default>, bool dynamic=<default>, real tolmin=<default>, real tolmax=<default>, real dtmin=<default>, real dtmax=<default>, RKTableau tableau, bool verbose=<default>);
 Solution integrate(real[] y, real[] f(real t, real[] y), real a, real b=<default>, real h=<default>, int n=<default>, bool dynamic=<default>, real tolmin=<default>, real tolmax=<default>, real dtmin=<default>, real dtmax=<default>, RKTableau tableau, bool verbose=<default>);
@@ -3316,7 +3316,6 @@ real phi1(real x);
 real[] Coeff;
 real stepfactor;
 real phi2(real x);
-RKTableau PC;
 RKTableau RK5DP;
 RKTableau E_PC;
 RKTableau E_RK2;
@@ -3326,14 +3325,15 @@ coefficients operator init();
 RKTableau operator init();
 solution operator init();
 Solution operator init();
+RKTableau PC;
+real phi3(real x);
 void write(solution S);
 void write(Solution S);
-real phi3(real x);
 void expfactors(real x, coefficients a);
 RKTableau E_RK3BS;
-RKTableau Euler;
 real[] solveBVP(real[] f(real, real[]), real a, real b=<default>, real h=<default>, int n=<default>, bool dynamic=<default>, real tolmin=<default>, real tolmax=<default>, real dtmin=<default>, real dtmax=<default>, RKTableau tableau, bool verbose=<default>, real[] initial(real[]), real[] discrepancy(real[]), real[] guess, int iterations=<default>);
 RKTableau RK5F;
+RKTableau Euler;
 pen[] cmyk(pen[] Palette);
 pen[] BWRainbow2(int NColors=<default>);
 pen[] Wheel(int NColors=<default>);
@@ -3354,6 +3354,7 @@ transform swap;
 void NoTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(int sign=<default>);
 pen[] Gradient(int NColors=<default> ... pen[] p);
 pen[] quantize(pen[] Palette, int n);
+pen[] Rainbow(int NColors=<default>);
 pen[] Grayscale(int NColors=<default>);
 pen[] BWRainbow(int NColors, bool two);
 pen[] BWRainbow(int NColors=<default>);
@@ -3362,7 +3363,6 @@ pen[][] palette(real[][] f, pen[] palette);
 void palette(picture pic=<default>, Label L=<default>, bounds bounds, pair initial, pair final, void axis(picture, axisT)=<default>, pen[] palette, pen p=<default>, void ticks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(int sign=<default>)=<default>, bool copy=<default>, bool antialias=<default>);
 void PaletteTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(int sign=<default>)(Label format=<default>, string ticklabel(real)=<default>, bool beginlabel=<default>, bool endlabel=<default>, int N=<default>, int n=<default>, real Step=<default>, real step=<default>, pen pTick=<default>, pen ptick=<default>);
 void PaletteTicks(frame, transform, Label, pair, path, path, pen, bool(picture, path, pen, marginT(path, pen)), marginT(path, pen), ticklocate, int[], bool opposite=<default>)(int sign=<default>);
-pen[] Rainbow(int NColors=<default>);
 picture crosshatch(real H=<default>, pen p=<default>);
 picture hatch(real H=<default>, pair dir=<default>, pen p=<default>);
 real hatchepsilon;
@@ -3384,24 +3384,24 @@ rational abs(rational r);
 int lcm(int m, int n);
 bool operator >=(rational r, rational s);
 rational operator +(rational r, rational s);
-rational operator init();
+bool operator <=(rational r, rational s);
+int gcd(int m, int n);
 rational min(rational a, rational b);
-rational operator -(rational r);
-rational operator -(rational r, rational s);
-rational max(rational a, rational b);
-rational max(rational[] a);
 rational operator cast(int p);
 rational[] operator cast(int[] a);
 rational[][] operator cast(int[][] a);
+rational operator init();
 void write(string s=<default>, rational r, void suffix(file)=<default>);
 void write(string s=<default>, rational[] a, void suffix(file)=<default>);
 void write(string s=<default>, rational[][] a, void suffix(file)=<default>);
-int gcd(int m, int n);
 bool operator ==(rational r, rational s);
 bool[] operator ==(rational[] r, rational s);
 bool operator ==(rational[] r, rational[] s);
 bool operator ==(rational[][] r, rational[][] s);
-bool operator <=(rational r, rational s);
+rational operator -(rational r);
+rational operator -(rational r, rational s);
+rational max(rational a, rational b);
+rational max(rational[] a);
 real operator ecast(rational r);
 rational operator *(rational r, rational s);
 path roundedpath(path A, real R, real S=<default>);
@@ -3459,43 +3459,43 @@ void background();
 real pageheight;
 real pagewidth;
 void indexedfigure(string prefix, int first, int last, string options=<default>, string caption=<default>, pair align=<default>, pen p=<default>, pen figuremattpen=<default>, bool step=<default>);
-void equations(string s, pen p=<default>);
 pen titlepen;
 string bulletcolor(string color);
 real minipagemargin;
 void incrementposition(pair z);
-bool allowstepping;
 void newslide(bool stepping=<default>);
 void center(string s, pen p=<default>);
 real titleskip;
 bool stepping;
-pen urlpen;
-pen steppagenumberpen;
-void currentexitfunction();
+pair currentposition;
 void step();
 pair startposition;
-pair currentposition;
 void titlepage(string title, string author, string institution=<default>, string date=<default>, string url=<default>, bool newslide=<default>);
+bool allowstepping;
 void asycode(bool center=<default>, string s, string options=<default>, string caption=<default>, string preamble=<default>, pair align=<default>, pen p=<default>, pen figuremattpen=<default>, real indent=<default>, real skip=<default>, filltype filltype=<default>, bool newslide=<default>);
 pen itempen;
 string asywrite(string s, string preamble=<default>);
 bool reverse;
 void numberpage(pen p=<default>);
+void multifigure(string[] slist, string options=<default>, string caption=<default>, pair align=<default>, pen p=<default>, pen figuremattpen=<default>, bool step=<default>);
 bool firststep;
+void normalvideo();
+real codeskip;
 bool landscape;
 real figureborder;
+pen urlpen;
 string bullet;
-void normalvideo();
-real codeskip;
-void multifigure(string[] slist, string options=<default>, string caption=<default>, pair align=<default>, pen p=<default>, pen figuremattpen=<default>, bool step=<default>);
+pen steppagenumberpen;
 bool itemstep;
 pen pagenumberpen;
-int[] lastnode;
+void currentexitfunction();
 void usersetting();
 real aboveequationskip;
 real minipagewidth;
 void bibliographystyle(string name);
+void equations(string s, pen p=<default>);
 real pagemargin;
+int[] lastnode;
 string texcolor(pen p);
 void title(string s, pair position=<default>, pair align=<default>, pen p=<default>, bool newslide=<default>);
 pen authorpen;
@@ -3513,7 +3513,6 @@ evaluatedpoint[][][] slice(evaluatedpoint[][][] a, int start1, int end1, int sta
 positionedvector[][] slice(positionedvector[][] a, int start1, int end1, int start2, int end2);
 positionedvector[][][] slice(positionedvector[][][] a, int start1, int end1, int start2, int end2, int start3, int end3);
 triple nGrad(triple)(real f(triple));
-patch[] quadpatches(path3 edgecycle, positionedvector[] corners, real f(triple), triple grad(triple), triple a, triple b, bool usetriangles);
 bool checkpt(triple testpt, real f(triple), triple grad(triple), triple a, triple b);
 bool checkptincube(triple pt, triple a, triple b);
 bool check_fpt_zero(triple testpoint, real f(triple), triple grad(triple));
@@ -3531,8 +3530,13 @@ real(real)[] bernstein;
 real B23(real t);
 real B13(real t);
 real B03(real t);
+evaluatedpoint[][][] make3dgrid(triple a, triple b, int nx, int ny, int nz, real f(triple), bool allowzero=<default>);
 bool operator ==(edge a, edge b);
 real B33(real t);
+string operator cast(edge e);
+string operator cast(edge[] edges);
+string operator cast(positionedvector vv);
+triple operator cast(evaluatedpoint p);
 pathwithnormals_settings operator init();
 intset operator init();
 int_to_intset operator init();
@@ -3540,21 +3544,17 @@ edge operator init();
 positionedvector operator init();
 evaluatedpoint operator init();
 gridwithzeros operator init();
-string operator cast(edge e);
-string operator cast(edge[] edges);
-string operator cast(positionedvector vv);
-triple operator cast(evaluatedpoint p);
 real[] projecttospan_findcoeffs(triple toproject, triple v1, triple v2, bool warn=<default>);
-int YLOW;
 int ZLOW;
 int ZHIGH;
 real angledegrees(triple a, triple b);
+int YLOW;
 path3 pathbetween(positionedvector v1, positionedvector v2);
 path3 pathbetween(path3 edgecycle, int vertex1, int vertex2);
 patch[] maketriangle(path3 external, real f(triple), triple grad(triple), bool allowsubdivide=<default>);
 path3 pathinface(positionedvector v1, positionedvector v2, triple facenorm, triple edge1normout, triple edge2normout);
 path3 pathinface(positionedvector v1, positionedvector v2, int face, int edge1face, int edge2face);
-evaluatedpoint[][][] make3dgrid(triple a, triple b, int nx, int ny, int nz, real f(triple), bool allowzero=<default>);
+patch[] quadpatches(path3 edgecycle, positionedvector[] corners, real f(triple), triple grad(triple), triple a, triple b, bool usetriangles);
 int XLOW;
 int[] makecircle(edge[] edges);
 path[] cylinder(path3 base, real h, triple axis=<default>, projection P);
@@ -3564,9 +3564,9 @@ pen defaultbackpen;
 revolution cone(triple c=<default>, real r, real h, triple axis=<default>, int n=<default>);
 revolution operator *(real[][] t, revolution r);
 revolution sphere(triple c=<default>, real r, int n=<default>);
-void draw(picture pic=<default>, revolution r, int m=<default>, int n=<default>, pen frontpen=<default>, pen backpen=<default>, pen longitudinalpen=<default>, pen longitudinalbackpen=<default>, light light=<default>, string name=<default>, render render=<default>, projection P=<default>);
 skeleton operator init();
 revolution operator init();
+void draw(picture pic=<default>, revolution r, int m=<default>, int n=<default>, pen frontpen=<default>, pen backpen=<default>, pen longitudinalpen=<default>, pen longitudinalbackpen=<default>, light light=<default>, string name=<default>, render render=<default>, projection P=<default>);
 real[] tangent(path p, path q, bool side);
 surface surface(revolution r, int n=<default>, pen color(int i, real j)=<default>);
 linefit leastsquares(real[] x, real[] y);
@@ -3583,15 +3583,15 @@ real variancebiased(real[] A);
 real variance(real[] A);
 real legendmarkersize;
 real rms(real[] A);
+int bins(real[] data, int max=<default>);
 void histogram(picture pic=<default>, real[] bins, real[] count, real low=<default>, pen fillpen=<default>, pen drawpen=<default>, bool bars=<default>, Label legend=<default>, real markersize=<default>);
 void histogram(picture pic=<default>, real[] data, real a, real b, int n, bool normalize=<default>, real low=<default>, pen fillpen=<default>, pen drawpen=<default>, bool bars=<default>, Label legend=<default>, real markersize=<default>);
 real kurtosisexcess(real[] A);
-real Gaussian(real x, real sigma);
-real Gaussian(real x);
 linefit operator init();
-int bins(real[] data, int max=<default>);
 real skewness(real[] A);
 path topbox(pair a, pair b);
+real Gaussian(real x, real sigma);
+real Gaussian(real x);
 path halfbox(pair a, pair b);
 real mean(real[] A);
 Relation r4a;
@@ -3641,7 +3641,9 @@ pen Melon;
 pen Dandelion;
 pen Goldenrod;
 pen GreenYellow;
+pen Violet;
 pen Peach;
+pen SkyBlue;
 pen VioletRed;
 pen Cerulean;
 pen White;
@@ -3650,30 +3652,27 @@ pen PineGreen;
 pen RedViolet;
 pen Red;
 pen Magenta;
-pen Turquoise;
 pen MidnightBlue;
+pen Orchid;
+pen Turquoise;
 pen ProcessBlue;
 pen Black;
 pen Bittersweet;
-pen SkyBlue;
-pen Aquamarine;
-pen Orchid;
+pen ForestGreen;
 pen RawSienna;
 pen Thistle;
+pen TealBlue;
 pen SpringGreen;
-pen Periwinkle;
 pen Sepia;
-pen TealBlue;
 pen LimeGreen;
 pen YellowGreen;
-pen Violet;
-pen ForestGreen;
+pen Periwinkle;
 pen Mulberry;
 pen Cyan;
 pen Blue;
 pen Orange;
-pen CornflowerBlue;
 pen Emerald;
+pen CornflowerBlue;
 pen WildStrawberry;
 pen RedOrange;
 pen RoyalBlue;
@@ -3681,10 +3680,11 @@ pen Apricot;
 pen Purple;
 pen YellowOrange;
 pen Green;
+pen Aquamarine;
 int lookup(tree t, int key);
 bool contains(tree t, int key);
-tree add(tree t, int key, int value);
 tree operator init();
+tree add(tree t, int key, int value);
 void write(file out=<default>, tree t);
 tree newtree();
 real trembleFrequency;
@@ -3694,15 +3694,15 @@ tremble operator init();
 real trembleRandom;
 real trembleAngle;
 real degrees(rmf a, rmf b);
-int coloredNodes;
+surface tube(path3 g, coloredpath section, transform T(real)=<default>, real corner=<default>, real relstep=<default>);
 path3 roundedpath(path3 A, real r);
 coloredpath operator cast(path p);
 coloredpath operator cast(guide p);
-surface tube(path3 g, coloredpath section, transform T(real)=<default>, real corner=<default>, real relstep=<default>);
+int coloredNodes;
 coloredpath operator init();
-real[] sample(path3 g, real r, real relstep=<default>);
 surface surface(rmf[] R, real[] t, coloredpath cp, transform T(real), bool cyclic);
 int coloredSegments;
+real[] sample(path3 g, real r, real relstep=<default>);
 string VERSION;
 pen Tomato;
 pen Tan;
@@ -3765,7 +3765,6 @@ pen Brown;
 pen BlueViolet;
 pen Beige;
 pen Azure;
-pen Indigo;
 pen SlateBlue;
 pen OliveDrab;
 pen DarkKhaki;
@@ -3774,59 +3773,60 @@ pen PeachPuff;
 pen Lime;
 pen LightGoldenrodYellow;
 pen DarkSeaGreen;
-pen MidnightBlue;
+pen SkyBlue;
 pen White;
 pen Yellow;
 pen LightCyan;
 pen GhostWhite;
-pen Ivory;
 pen Red;
 pen Magenta;
 pen LightSeaGreen;
 pen DarkViolet;
 pen Turquoise;
-pen AntiqueWhite;
-pen WhiteSmoke;
-pen Bisque;
 pen PaleGreen;
 pen PaleGoldenrod;
 pen Black;
-pen SkyBlue;
 pen LightBlue;
+pen Bisque;
 pen ForestGreen;
 pen LightGrey;
 pen AliceBlue;
-pen Orchid;
+pen Aquamarine;
 pen SandyBrown;
 pen LavenderBlush;
 pen Thistle;
 pen MediumVioletRed;
-pen FloralWhite;
+pen SteelBlue;
+pen DarkSlateBlue;
+pen SlateGray;
+pen MediumSpringGreen;
+pen Ivory;
 pen BlanchedAlmond;
 pen Linen;
 pen Olive;
 pen SpringGreen;
+pen FloralWhite;
 pen LimeGreen;
 pen FireBrick;
 pen Gold;
+pen Orchid;
+pen AntiqueWhite;
 pen YellowGreen;
-pen MediumSpringGreen;
-pen SteelBlue;
-pen Aqua;
-pen Violet;
+pen MidnightBlue;
+pen WhiteSmoke;
 pen rgbint(int r, int g, int b);
 pen Cyan;
-pen Blue;
 pen Teal;
+pen Blue;
+pen Aqua;
+pen Violet;
 pen MediumBlue;
 pen Chartreuse;
-pen DarkSlateBlue;
-pen SlateGray;
 pen Wheat;
 pen Orange;
-pen CornflowerBlue;
 pen Seashell;
 pen DarkGray;
+pen CornflowerBlue;
 pen MediumOrchid;
 pen Chocolate;
 pen MediumPurple;
@@ -3838,10 +3838,10 @@ pen MediumSlateBlue;
 pen RoyalBlue;
 pen Silver;
 pen MediumAquamarine;
+pen Indigo;
 pen Purple;
 pen MediumTurquoise;
 pen DarkTurquoise;
 pen LightSteelBlue;
 pen Green;
 pen Gainsboro;
-pen Aquamarine;
diff --git a/Build/source/utils/asymptote/asymptote.spec b/Build/source/utils/asymptote/asymptote.spec
index e2622423102..9d0ec146d44 100644
--- a/Build/source/utils/asymptote/asymptote.spec
+++ b/Build/source/utils/asymptote/asymptote.spec
@@ -1,7 +1,7 @@
 %{!?_texmf: %global _texmf %(eval "echo `kpsewhich -expand-var '$TEXMFLOCAL'`")}
 
 Name:           asymptote
-Version:        2.42
+Version:        2.43
 Release:        1%{?dist}
 Summary:        Descriptive vector graphics language
 
diff --git a/Build/source/utils/asymptote/build-scripts/HOWTO-MSWindows b/Build/source/utils/asymptote/build-scripts/HOWTO-MSWindows
index d96a8fc9876..3499bc73655 100644
--- a/Build/source/utils/asymptote/build-scripts/HOWTO-MSWindows
+++ b/Build/source/utils/asymptote/build-scripts/HOWTO-MSWindows
@@ -6,11 +6,12 @@ shared via virtualbox to the cygwin build environment.
 
 Install these cygwin packages:
 
+git
 wget
 make
 patch
 gcc-g++
-autoconf
+autoconf2.5
 bison
 flex
 w32api-headers
@@ -18,30 +19,21 @@ w32api-runtime
 zlib-devel
 libGLU-devel
 libtirpc-devel (SRC)
-libncurses-devel (SRC)
 libreadline-devel (SRC)
 libfftw3-devel (SRC)
 libgsl-devel (SRC)
-automake
+automake1.15
 libtool
 
-ln -s /usr/include/tirpc/rpc /usr/include/rpc
-ln -s /usr/include/tirpc/netconfig.h /usr/include/netconfig.h
-ln -s /usr/lib/libtirpc.a /usr/lib/librpc.a
-
 mv /usr/include/GL /usr/include/GL.orig
 
-Build and install from /usr/local/src:
+Build and install static libraries from /usr/local/src:
 
-gsl-devel
+gsl-devel:
 ./configure --prefix=/usr
 make install
 
-ncurses-devel
-./configure --prefix=/usr
-make install
-
-readline-devel
+readline-devel:
 ./configure --prefix=/usr --without-curses --disable-shared
 make install
 
@@ -49,12 +41,14 @@ fftw3-devel:
 ./configure --prefix=/usr --enable-shared 
 make install
 
-Compile static libraries from source:
-tirpc-devel
+tirpc-devel (if rpc library is unavailable):
 ./configure --prefix=/usr --disable-gssapi
 make install
+ln -s /usr/include/tirpc/rpc /usr/include/rpc
+ln -s /usr/include/tirpc/netconfig.h /usr/include/netconfig.h
+ln -s /usr/lib/libtirpc.a /usr/lib/librpc.a
 
-termcap-1.3.1
+termcap-1.3.1:
 ./configure --prefix=/usr
 make install
 
@@ -63,24 +57,26 @@ git clone http://github.com/vectorgraphics/asymptote
 cd /usr/include
 patch -p0 < ~/asymptote/patches/cygwin_glu.patch
 
-cd
-~/asymptote/build-scripts/build-freeglut
 mkdir -p ~/dll/cygwin
 cp /usr/bin/cygwin1.dll ~/dll/cygwin
 
+cd
+~/asymptote/build-scripts/build-freeglut
+
 install texlive
 
 mkdir ~/CTAN
-cp -a ~/asymptote/buildscripts/README-binaries ~/CTAN
+cp -a ~/asymptote/build-scripts/README-binaries ~/CTAN
 
 GCVERSION=7.6.2
+wget http://hboehm.info/gc/gc_source/gc-$GCVERSION.tar.gz
+wget http://www.ivmaisoft.com/_bin/atomic_ops/libatomic_ops-$GCVERSION.tar.gz
 tar -zxf gc-$GCVERSION.tar.gz
 tar -zxf libatomic_ops-$GCVERSION.tar.gz
 mv libatomic_ops-$GCVERSION gc-$GCVERSION/libatomic_ops
 cd gc-$GCVERSION
-patch < ~/asymptote/patches/cygwin_gc.patch
+patch -p1 < ~/asymptote/patches/cygwin_gc.patch
 ./configure --disable-shared
 make check
 
-VERSION=2.42
-~/asymptote/build-scripts/build-asymptote.dos $VERSION
+~/asymptote/build-scripts/build-asymptote.dos 2.43
diff --git a/Build/source/utils/asymptote/build-scripts/build-asymptote b/Build/source/utils/asymptote/build-scripts/build-asymptote
index 75ab3f46392..4239babd6bc 100755
--- a/Build/source/utils/asymptote/build-scripts/build-asymptote
+++ b/Build/source/utils/asymptote/build-scripts/build-asymptote
@@ -67,8 +67,8 @@ cp -a /usr/local/share/info/asymptote/asymptote.info $SHARED/asydoc/png
 cp -a /usr/local/share/info/asy-faq.info $SHARED/asydoc/FAQ
 cd $BUILD
 tar cfz $SRC asymptote-$VERSION
-tar cfz asymptote-$VERSION.i386.tgz $BINDIR
+tar cfz asymptote-$VERSION.x86_64.tgz $BINDIR
 cp $SRC $SHARED
 rm -rf $BUILD/$BINDIR
-tar -zxf asymptote-$VERSION.i386.tgz
+tar -zxf asymptote-$VERSION.x86_64.tgz
 su rpmbuild -c "rpmbuild -ta --nodeps $SRC && rm -rf ~/rpms/BUILD/asymptote-$VERSION"
diff --git a/Build/source/utils/asymptote/build-scripts/build-asymptote.dos b/Build/source/utils/asymptote/build-scripts/build-asymptote.dos
index 376e0da0558..3da86ae8ffb 100755
--- a/Build/source/utils/asymptote/build-scripts/build-asymptote.dos
+++ b/Build/source/utils/asymptote/build-scripts/build-asymptote.dos
@@ -1,6 +1,12 @@
 #!/bin/sh -x
 GC=7.6.2
 
+MACHINE=`uname -m`
+if [ $MACHINE == i686 ]; then
+BINDIR=i386-windows
+else
+BINDIR=x86_64-windows
+fi
 SHARED=~/shared/asy
 MAKEFLAGS=-j8
 export MAKEFLAGS
@@ -19,7 +25,7 @@ mkdir -p CTAN
 rm -rf CTAN/asymptote-$VERSION
 tar -zxf $SHARED/asymptote-$VERSION.src.tgz -C CTAN
 tar -zxf $SHARED/asymptote-$VERSION.src.tgz
-mkdir -p CTAN/asymptote-$VERSION/binaries/i386-win32/texlive
+mkdir -p CTAN/asymptote-$VERSION/binaries/$BINDIR/texlive
 cd asymptote-$VERSION
 fi
 BUILD=build-$VERSION
@@ -30,7 +36,7 @@ rm -rf $BUILD
 mkdir -p $BUILD
 cp -a $HOME/dll/cygwin/*.dll $HOME/dll/*.dll $BUILD
 chmod 0644 $BUILD/*.dll
-cp -a $BUILD/*.dll ~/CTAN/asymptote-$VERSION/binaries/i386-win32/
+cp -a $BUILD/*.dll ~/CTAN/asymptote-$VERSION/binaries/$BINDIR/
 cp -a $HOME/dll/*.dll .
 make MSDOS=1 DESTDIR="$BUILD/" docdir="$BUILD/"
 test -f asy.list || make MSDOS=1 keywords DESTDIR="$BUILD/" docdir="$BUILD/"
@@ -50,9 +56,16 @@ ls -p1 $BUILD \
     | awk '{ if(index($0,"/")==length($0)) print "RMDir /r $INSTDIR\\" substr($0,0,length($0)-1); else print "Delete $INSTDIR\\" $0 }' \
 	> AsymptoteUninstallList.nsi
 
+if [ $MACHINE == i686 ]; then
+sed asymptote.nsi -e 's/$PROGRAMFILES64/$PROGRAMFILES/g' > asymptote32.nsi
+/cygdrive/c/Program\ Files\ \(x86\)/NSIS/makensis.exe asymptote32.nsi
+SUFFIX=-i386
+else
 /cygdrive/c/Program\ Files\ \(x86\)/NSIS/makensis.exe asymptote.nsi
-cp -a --no-preserve=mode asymptote-$VERSION-setup.exe $SHARED
-mv asymptote-$VERSION-setup.exe ~/
+SUFFIX=
+fi
+cp -a --no-preserve=mode asymptote-$VERSION-setup.exe $SHARED/asymptote-$VERSION-setup$SUFFIX.exe
+mv asymptote-$VERSION-setup.exe ~/asymptote-$VERSION-setup$SUFFIX.exe
 
 cd ~/
 rm -rf asymptote-${VERSION}TL || exit
@@ -67,12 +80,19 @@ rm -f doc/*.aux doc/*.log doc/*.dvi
 make MSDOS=1 DESTDIR="$BUILD/"
 make MSDOS=1 install-asy DESTDIR="$BUILD/"
 mv $BUILD/usr/local/bin/asy.exe $BUILD
-cp $BUILD/asy.exe ~/CTAN/asymptote-$VERSION/binaries/i386-win32/texlive
+cp $BUILD/asy.exe ~/CTAN/asymptote-$VERSION/binaries/$BINDIR/texlive
 cp -a configure.ac ~/CTAN/asymptote-$VERSION/
 cp -a $SHARED/asydoc/* ~/CTAN/asymptote-$VERSION/doc
-cd ~/CTAN/asymptote-$VERSION/binaries/i386-win32
-ln -sf ../../README .
+cd ~/CTAN/asymptote-$VERSION/binaries/$BINDIR
+cp -a ../../README .
 cd ~/CTAN
-cp -a ~/asymptote/build-scripts/README-binaries asymptote-$VERSION/binaries/i386-win32/texlive/README
+cp -a ~/asymptote/build-scripts/README-binaries asymptote-$VERSION/binaries/$BINDIR/texlive/README
+SHAREDBIN=$SHARED/CTAN/asymptote-$VERSION
+if [ $MACHINE == i686 ]; then
+mkdir -p $SHAREDBIN
+cp -a asymptote-$VERSION/binaries/$BINDIR $SHAREDBIN
+else
+cp -a $SHAREDBIN/i386-windows ~/CTAN/asymptote-$VERSION/binaries
+fi
 tar cfz asymptote-$VERSION-CTAN.tgz asymptote-$VERSION
 cp -a --no-preserve=mode asymptote-$VERSION-CTAN.tgz $SHARED
diff --git a/Build/source/utils/asymptote/builtin.symbols.h b/Build/source/utils/asymptote/builtin.symbols.h
new file mode 100644
index 00000000000..05c40828a6a
--- /dev/null
+++ b/Build/source/utils/asymptote/builtin.symbols.h
@@ -0,0 +1,91 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(VERSION);
+ADDSYMBOL(a);
+ADDSYMBOL(abs);
+ADDSYMBOL(acos);
+ADDSYMBOL(acosh);
+ADDSYMBOL(alias);
+ADDSYMBOL(array);
+ADDSYMBOL(asin);
+ADDSYMBOL(asinh);
+ADDSYMBOL(atan);
+ADDSYMBOL(atanh);
+ADDSYMBOL(b);
+ADDSYMBOL(cbrt);
+ADDSYMBOL(concat);
+ADDSYMBOL(conj);
+ADDSYMBOL(copy);
+ADDSYMBOL(cos);
+ADDSYMBOL(cosh);
+ADDSYMBOL(currentpen);
+ADDSYMBOL(depth);
+ADDSYMBOL(diagonal);
+ADDSYMBOL(e);
+ADDSYMBOL(exp);
+ADDSYMBOL(expm1);
+ADDSYMBOL(f);
+ADDSYMBOL(fabs);
+ADDSYMBOL(file);
+ADDSYMBOL(identity);
+ADDSYMBOL(inf);
+ADDSYMBOL(infinity);
+ADDSYMBOL(initialized);
+ADDSYMBOL(intMax);
+ADDSYMBOL(intMin);
+ADDSYMBOL(interp);
+ADDSYMBOL(key);
+ADDSYMBOL(ldexp);
+ADDSYMBOL(less);
+ADDSYMBOL(log);
+ADDSYMBOL(log10);
+ADDSYMBOL(log1p);
+ADDSYMBOL(map);
+ADDSYMBOL(max);
+ADDSYMBOL(maxbound);
+ADDSYMBOL(min);
+ADDSYMBOL(minbound);
+ADDSYMBOL(n);
+ADDSYMBOL(nan);
+ADDSYMBOL(perm);
+ADDSYMBOL(pi);
+ADDSYMBOL(pow10);
+ADDSYMBOL(printBytecode);
+ADDSYMBOL(randMax);
+ADDSYMBOL(realDigits);
+ADDSYMBOL(realEpsilon);
+ADDSYMBOL(realMax);
+ADDSYMBOL(realMin);
+ADDSYMBOL(s);
+ADDSYMBOL(search);
+ADDSYMBOL(sequence);
+ADDSYMBOL(sin);
+ADDSYMBOL(sinh);
+ADDSYMBOL(sort);
+ADDSYMBOL(sqrt);
+ADDSYMBOL(suffix);
+ADDSYMBOL(sum);
+ADDSYMBOL(t);
+ADDSYMBOL(tan);
+ADDSYMBOL(tanh);
+ADDSYMBOL(transpose);
+ADDSYMBOL(value);
+ADDSYMBOL(write);
+ADDSYMBOL(x);
+ADDSYMBOL(xx);
+ADDSYMBOL(xy);
+ADDSYMBOL(y);
+ADDSYMBOL(yx);
+ADDSYMBOL(yy);
+ADDSYMBOL(z);
diff --git a/Build/source/utils/asymptote/config.guess b/Build/source/utils/asymptote/config.guess
index f32079abda6..256083a70d3 100644..100755
--- a/Build/source/utils/asymptote/config.guess
+++ b/Build/source/utils/asymptote/config.guess
@@ -1,14 +1,12 @@
 #! /bin/sh
 # Attempt to guess a canonical system name.
-#   Copyright (C) 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999,
-#   2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008
-#   Free Software Foundation, Inc.
+#   Copyright 1992-2018 Free Software Foundation, Inc.
 
-timestamp='2008-01-23'
+timestamp='2018-03-08'
 
 # This file is free software; you can redistribute it and/or modify it
 # under the terms of the GNU General Public License as published by
-# the Free Software Foundation; either version 2 of the License, or
+# the Free Software Foundation; either version 3 of the License, or
 # (at your option) any later version.
 #
 # This program is distributed in the hope that it will be useful, but
@@ -17,26 +15,22 @@ timestamp='2008-01-23'
 # General Public License for more details.
 #
 # You should have received a copy of the GNU General Public License
-# along with this program; if not, write to the Free Software
-# Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA
-# 02110-1301, USA.
+# along with this program; if not, see <https://www.gnu.org/licenses/>.
 #
 # As a special exception to the GNU General Public License, if you
 # distribute this file as part of a program that contains a
 # configuration script generated by Autoconf, you may include it under
-# the same distribution terms that you use for the rest of that program.
-
-
-# Originally written by Per Bothner <per@bothner.com>.
-# Please send patches to <config-patches@gnu.org>.  Submit a context
-# diff and a properly formatted ChangeLog entry.
+# the same distribution terms that you use for the rest of that
+# program.  This Exception is an additional permission under section 7
+# of the GNU General Public License, version 3 ("GPLv3").
 #
-# This script attempts to guess a canonical system name similar to
-# config.sub.  If it succeeds, it prints the system name on stdout, and
-# exits with 0.  Otherwise, it exits with 1.
+# Originally written by Per Bothner; maintained since 2000 by Ben Elliston.
 #
-# The plan is that this can be called by configure scripts if you
-# don't specify an explicit build system type.
+# You can get the latest version of this script from:
+# https://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.guess
+#
+# Please send patches to <config-patches@gnu.org>.
+
 
 me=`echo "$0" | sed -e 's,.*/,,'`
 
@@ -45,7 +39,7 @@ Usage: $0 [OPTION]
 
 Output the configuration name of the system \`$me' is run on.
 
-Operation modes:
+Options:
   -h, --help         print this help, then exit
   -t, --time-stamp   print date of last modification, then exit
   -v, --version      print version number, then exit
@@ -56,8 +50,7 @@ version="\
 GNU config.guess ($timestamp)
 
 Originally written by Per Bothner.
-Copyright (C) 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001,
-2002, 2003, 2004, 2005, 2006, 2007, 2008 Free Software Foundation, Inc.
+Copyright 1992-2018 Free Software Foundation, Inc.
 
 This is free software; see the source for copying conditions.  There is NO
 warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE."
@@ -114,9 +107,9 @@ trap "rm -f \$tmpfiles 2>/dev/null; rmdir \$tmp 2>/dev/null; exit 1" 1 2 13 15 ;
 dummy=$tmp/dummy ;
 tmpfiles="$dummy.c $dummy.o $dummy.rel $dummy" ;
 case $CC_FOR_BUILD,$HOST_CC,$CC in
- ,,)    echo "int x;" > $dummy.c ;
+ ,,)    echo "int x;" > "$dummy.c" ;
 	for c in cc gcc c89 c99 ; do
-	  if ($c -c -o $dummy.o $dummy.c) >/dev/null 2>&1 ; then
+	  if ($c -c -o "$dummy.o" "$dummy.c") >/dev/null 2>&1 ; then
 	     CC_FOR_BUILD="$c"; break ;
 	  fi ;
 	done ;
@@ -139,12 +132,40 @@ UNAME_RELEASE=`(uname -r) 2>/dev/null` || UNAME_RELEASE=unknown
 UNAME_SYSTEM=`(uname -s) 2>/dev/null`  || UNAME_SYSTEM=unknown
 UNAME_VERSION=`(uname -v) 2>/dev/null` || UNAME_VERSION=unknown
 
+case "$UNAME_SYSTEM" in
+Linux|GNU|GNU/*)
+	# If the system lacks a compiler, then just pick glibc.
+	# We could probably try harder.
+	LIBC=gnu
+
+	eval "$set_cc_for_build"
+	cat <<-EOF > "$dummy.c"
+	#include <features.h>
+	#if defined(__UCLIBC__)
+	LIBC=uclibc
+	#elif defined(__dietlibc__)
+	LIBC=dietlibc
+	#else
+	LIBC=gnu
+	#endif
+	EOF
+	eval "`$CC_FOR_BUILD -E "$dummy.c" 2>/dev/null | grep '^LIBC' | sed 's, ,,g'`"
+
+	# If ldd exists, use it to detect musl libc.
+	if command -v ldd >/dev/null && \
+		ldd --version 2>&1 | grep -q ^musl
+	then
+	    LIBC=musl
+	fi
+	;;
+esac
+
 # Note: order is significant - the case branches are not exclusive.
 
-case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
+case "$UNAME_MACHINE:$UNAME_SYSTEM:$UNAME_RELEASE:$UNAME_VERSION" in
     *:NetBSD:*:*)
 	# NetBSD (nbsd) targets should (where applicable) match one or
-	# more of the tupples: *-*-netbsdelf*, *-*-netbsdaout*,
+	# more of the tuples: *-*-netbsdelf*, *-*-netbsdaout*,
 	# *-*-netbsdecoff* and *-*-netbsd*.  For targets that recently
 	# switched to ELF, *-*-netbsd* would select the old
 	# object file format.  This provides both forward
@@ -154,23 +175,33 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
 	# Note: NetBSD doesn't particularly care about the vendor
 	# portion of the name.  We always set it to "unknown".
 	sysctl="sysctl -n hw.machine_arch"
-	UNAME_MACHINE_ARCH=`(/sbin/$sysctl 2>/dev/null || \
-	    /usr/sbin/$sysctl 2>/dev/null || echo unknown)`
-	case "${UNAME_MACHINE_ARCH}" in
+	UNAME_MACHINE_ARCH=`(uname -p 2>/dev/null || \
+	    "/sbin/$sysctl" 2>/dev/null || \
+	    "/usr/sbin/$sysctl" 2>/dev/null || \
+	    echo unknown)`
+	case "$UNAME_MACHINE_ARCH" in
 	    armeb) machine=armeb-unknown ;;
 	    arm*) machine=arm-unknown ;;
 	    sh3el) machine=shl-unknown ;;
 	    sh3eb) machine=sh-unknown ;;
 	    sh5el) machine=sh5le-unknown ;;
-	    *) machine=${UNAME_MACHINE_ARCH}-unknown ;;
+	    earmv*)
+		arch=`echo "$UNAME_MACHINE_ARCH" | sed -e 's,^e\(armv[0-9]\).*$,\1,'`
+		endian=`echo "$UNAME_MACHINE_ARCH" | sed -ne 's,^.*\(eb\)$,\1,p'`
+		machine="${arch}${endian}"-unknown
+		;;
+	    *) machine="$UNAME_MACHINE_ARCH"-unknown ;;
 	esac
 	# The Operating System including object format, if it has switched
-	# to ELF recently, or will in the future.
-	case "${UNAME_MACHINE_ARCH}" in
+	# to ELF recently (or will in the future) and ABI.
+	case "$UNAME_MACHINE_ARCH" in
+	    earm*)
+		os=netbsdelf
+		;;
 	    arm*|i386|m68k|ns32k|sh3*|sparc|vax)
-		eval $set_cc_for_build
+		eval "$set_cc_for_build"
 		if echo __ELF__ | $CC_FOR_BUILD -E - 2>/dev/null \
-			| grep __ELF__ >/dev/null
+			| grep -q __ELF__
 		then
 		    # Once all utilities can be ECOFF (netbsdecoff) or a.out (netbsdaout).
 		    # Return netbsd for either.  FIX?
@@ -180,7 +211,14 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
 		fi
 		;;
 	    *)
-	        os=netbsd
+		os=netbsd
+		;;
+	esac
+	# Determine ABI tags.
+	case "$UNAME_MACHINE_ARCH" in
+	    earm*)
+		expr='s/^earmv[0-9]/-eabi/;s/eb$//'
+		abi=`echo "$UNAME_MACHINE_ARCH" | sed -e "$expr"`
 		;;
 	esac
 	# The OS release
@@ -188,42 +226,62 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
 	# thus, need a distinct triplet. However, they do not need
 	# kernel version information, so it can be replaced with a
 	# suitable tag, in the style of linux-gnu.
-	case "${UNAME_VERSION}" in
+	case "$UNAME_VERSION" in
 	    Debian*)
 		release='-gnu'
 		;;
 	    *)
-		release=`echo ${UNAME_RELEASE}|sed -e 's/[-_].*/\./'`
+		release=`echo "$UNAME_RELEASE" | sed -e 's/[-_].*//' | cut -d. -f1,2`
 		;;
 	esac
 	# Since CPU_TYPE-MANUFACTURER-KERNEL-OPERATING_SYSTEM:
 	# contains redundant information, the shorter form:
 	# CPU_TYPE-MANUFACTURER-OPERATING_SYSTEM is used.
-	echo "${machine}-${os}${release}"
+	echo "$machine-${os}${release}${abi}"
+	exit ;;
+    *:Bitrig:*:*)
+	UNAME_MACHINE_ARCH=`arch | sed 's/Bitrig.//'`
+	echo "$UNAME_MACHINE_ARCH"-unknown-bitrig"$UNAME_RELEASE"
 	exit ;;
     *:OpenBSD:*:*)
 	UNAME_MACHINE_ARCH=`arch | sed 's/OpenBSD.//'`
-	echo ${UNAME_MACHINE_ARCH}-unknown-openbsd${UNAME_RELEASE}
+	echo "$UNAME_MACHINE_ARCH"-unknown-openbsd"$UNAME_RELEASE"
+	exit ;;
+    *:LibertyBSD:*:*)
+	UNAME_MACHINE_ARCH=`arch | sed 's/^.*BSD\.//'`
+	echo "$UNAME_MACHINE_ARCH"-unknown-libertybsd"$UNAME_RELEASE"
+	exit ;;
+    *:MidnightBSD:*:*)
+	echo "$UNAME_MACHINE"-unknown-midnightbsd"$UNAME_RELEASE"
 	exit ;;
     *:ekkoBSD:*:*)
-	echo ${UNAME_MACHINE}-unknown-ekkobsd${UNAME_RELEASE}
+	echo "$UNAME_MACHINE"-unknown-ekkobsd"$UNAME_RELEASE"
 	exit ;;
     *:SolidBSD:*:*)
-	echo ${UNAME_MACHINE}-unknown-solidbsd${UNAME_RELEASE}
+	echo "$UNAME_MACHINE"-unknown-solidbsd"$UNAME_RELEASE"
 	exit ;;
     macppc:MirBSD:*:*)
-	echo powerpc-unknown-mirbsd${UNAME_RELEASE}
+	echo powerpc-unknown-mirbsd"$UNAME_RELEASE"
 	exit ;;
     *:MirBSD:*:*)
-	echo ${UNAME_MACHINE}-unknown-mirbsd${UNAME_RELEASE}
+	echo "$UNAME_MACHINE"-unknown-mirbsd"$UNAME_RELEASE"
+	exit ;;
+    *:Sortix:*:*)
+	echo "$UNAME_MACHINE"-unknown-sortix
 	exit ;;
+    *:Redox:*:*)
+	echo "$UNAME_MACHINE"-unknown-redox
+	exit ;;
+    mips:OSF1:*.*)
+        echo mips-dec-osf1
+        exit ;;
     alpha:OSF1:*:*)
 	case $UNAME_RELEASE in
 	*4.0)
 		UNAME_RELEASE=`/usr/sbin/sizer -v | awk '{print $3}'`
 		;;
 	*5.*)
-	        UNAME_RELEASE=`/usr/sbin/sizer -v | awk '{print $4}'`
+		UNAME_RELEASE=`/usr/sbin/sizer -v | awk '{print $4}'`
 		;;
 	esac
 	# According to Compaq, /usr/sbin/psrinfo has been available on
@@ -233,60 +291,54 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
 	ALPHA_CPU_TYPE=`/usr/sbin/psrinfo -v | sed -n -e 's/^  The alpha \(.*\) processor.*$/\1/p' | head -n 1`
 	case "$ALPHA_CPU_TYPE" in
 	    "EV4 (21064)")
-		UNAME_MACHINE="alpha" ;;
+		UNAME_MACHINE=alpha ;;
 	    "EV4.5 (21064)")
-		UNAME_MACHINE="alpha" ;;
+		UNAME_MACHINE=alpha ;;
 	    "LCA4 (21066/21068)")
-		UNAME_MACHINE="alpha" ;;
+		UNAME_MACHINE=alpha ;;
 	    "EV5 (21164)")
-		UNAME_MACHINE="alphaev5" ;;
+		UNAME_MACHINE=alphaev5 ;;
 	    "EV5.6 (21164A)")
-		UNAME_MACHINE="alphaev56" ;;
+		UNAME_MACHINE=alphaev56 ;;
 	    "EV5.6 (21164PC)")
-		UNAME_MACHINE="alphapca56" ;;
+		UNAME_MACHINE=alphapca56 ;;
 	    "EV5.7 (21164PC)")
-		UNAME_MACHINE="alphapca57" ;;
+		UNAME_MACHINE=alphapca57 ;;
 	    "EV6 (21264)")
-		UNAME_MACHINE="alphaev6" ;;
+		UNAME_MACHINE=alphaev6 ;;
 	    "EV6.7 (21264A)")
-		UNAME_MACHINE="alphaev67" ;;
+		UNAME_MACHINE=alphaev67 ;;
 	    "EV6.8CB (21264C)")
-		UNAME_MACHINE="alphaev68" ;;
+		UNAME_MACHINE=alphaev68 ;;
 	    "EV6.8AL (21264B)")
-		UNAME_MACHINE="alphaev68" ;;
+		UNAME_MACHINE=alphaev68 ;;
 	    "EV6.8CX (21264D)")
-		UNAME_MACHINE="alphaev68" ;;
+		UNAME_MACHINE=alphaev68 ;;
 	    "EV6.9A (21264/EV69A)")
-		UNAME_MACHINE="alphaev69" ;;
+		UNAME_MACHINE=alphaev69 ;;
 	    "EV7 (21364)")
-		UNAME_MACHINE="alphaev7" ;;
+		UNAME_MACHINE=alphaev7 ;;
 	    "EV7.9 (21364A)")
-		UNAME_MACHINE="alphaev79" ;;
+		UNAME_MACHINE=alphaev79 ;;
 	esac
 	# A Pn.n version is a patched version.
 	# A Vn.n version is a released version.
 	# A Tn.n version is a released field test version.
 	# A Xn.n version is an unreleased experimental baselevel.
 	# 1.2 uses "1.2" for uname -r.
-	echo ${UNAME_MACHINE}-dec-osf`echo ${UNAME_RELEASE} | sed -e 's/^[PVTX]//' | tr 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' 'abcdefghijklmnopqrstuvwxyz'`
-	exit ;;
-    Alpha\ *:Windows_NT*:*)
-	# How do we know it's Interix rather than the generic POSIX subsystem?
-	# Should we change UNAME_MACHINE based on the output of uname instead
-	# of the specific Alpha model?
-	echo alpha-pc-interix
-	exit ;;
-    21064:Windows_NT:50:3)
-	echo alpha-dec-winnt3.5
-	exit ;;
+	echo "$UNAME_MACHINE"-dec-osf"`echo "$UNAME_RELEASE" | sed -e 's/^[PVTX]//' | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz`"
+	# Reset EXIT trap before exiting to avoid spurious non-zero exit code.
+	exitcode=$?
+	trap '' 0
+	exit $exitcode ;;
     Amiga*:UNIX_System_V:4.0:*)
 	echo m68k-unknown-sysv4
 	exit ;;
     *:[Aa]miga[Oo][Ss]:*:*)
-	echo ${UNAME_MACHINE}-unknown-amigaos
+	echo "$UNAME_MACHINE"-unknown-amigaos
 	exit ;;
     *:[Mm]orph[Oo][Ss]:*:*)
-	echo ${UNAME_MACHINE}-unknown-morphos
+	echo "$UNAME_MACHINE"-unknown-morphos
 	exit ;;
     *:OS/390:*:*)
 	echo i370-ibm-openedition
@@ -295,12 +347,12 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
 	echo s390-ibm-zvmoe
 	exit ;;
     *:OS400:*:*)
-        echo powerpc-ibm-os400
+	echo powerpc-ibm-os400
 	exit ;;
     arm:RISC*:1.[012]*:*|arm:riscix:1.[012]*:*)
-	echo arm-acorn-riscix${UNAME_RELEASE}
+	echo arm-acorn-riscix"$UNAME_RELEASE"
 	exit ;;
-    arm:riscos:*:*|arm:RISCOS:*:*)
+    arm*:riscos:*:*|arm*:RISCOS:*:*)
 	echo arm-unknown-riscos
 	exit ;;
     SR2?01:HI-UX/MPP:*:* | SR8000:HI-UX/MPP:*:*)
@@ -324,20 +376,39 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
 	case `/usr/bin/uname -p` in
 	    sparc) echo sparc-icl-nx7; exit ;;
 	esac ;;
+    s390x:SunOS:*:*)
+	echo "$UNAME_MACHINE"-ibm-solaris2"`echo "$UNAME_RELEASE" | sed -e 's/[^.]*//'`"
+	exit ;;
     sun4H:SunOS:5.*:*)
-	echo sparc-hal-solaris2`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'`
+	echo sparc-hal-solaris2"`echo "$UNAME_RELEASE"|sed -e 's/[^.]*//'`"
 	exit ;;
     sun4*:SunOS:5.*:* | tadpole*:SunOS:5.*:*)
-	echo sparc-sun-solaris2`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'`
+	echo sparc-sun-solaris2"`echo "$UNAME_RELEASE" | sed -e 's/[^.]*//'`"
+	exit ;;
+    i86pc:AuroraUX:5.*:* | i86xen:AuroraUX:5.*:*)
+	echo i386-pc-auroraux"$UNAME_RELEASE"
 	exit ;;
     i86pc:SunOS:5.*:* | i86xen:SunOS:5.*:*)
-	echo i386-pc-solaris2`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'`
+	eval "$set_cc_for_build"
+	SUN_ARCH=i386
+	# If there is a compiler, see if it is configured for 64-bit objects.
+	# Note that the Sun cc does not turn __LP64__ into 1 like gcc does.
+	# This test works for both compilers.
+	if [ "$CC_FOR_BUILD" != no_compiler_found ]; then
+	    if (echo '#ifdef __amd64'; echo IS_64BIT_ARCH; echo '#endif') | \
+		(CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \
+		grep IS_64BIT_ARCH >/dev/null
+	    then
+		SUN_ARCH=x86_64
+	    fi
+	fi
+	echo "$SUN_ARCH"-pc-solaris2"`echo "$UNAME_RELEASE"|sed -e 's/[^.]*//'`"
 	exit ;;
     sun4*:SunOS:6*:*)
 	# According to config.sub, this is the proper way to canonicalize
 	# SunOS6.  Hard to guess exactly what SunOS6 will be like, but
 	# it's likely to be more like Solaris than SunOS4.
-	echo sparc-sun-solaris3`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'`
+	echo sparc-sun-solaris3"`echo "$UNAME_RELEASE"|sed -e 's/[^.]*//'`"
 	exit ;;
     sun4*:SunOS:*:*)
 	case "`/usr/bin/arch -k`" in
@@ -346,25 +417,25 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
 		;;
 	esac
 	# Japanese Language versions have a version number like `4.1.3-JL'.
-	echo sparc-sun-sunos`echo ${UNAME_RELEASE}|sed -e 's/-/_/'`
+	echo sparc-sun-sunos"`echo "$UNAME_RELEASE"|sed -e 's/-/_/'`"
 	exit ;;
     sun3*:SunOS:*:*)
-	echo m68k-sun-sunos${UNAME_RELEASE}
+	echo m68k-sun-sunos"$UNAME_RELEASE"
 	exit ;;
     sun*:*:4.2BSD:*)
 	UNAME_RELEASE=`(sed 1q /etc/motd | awk '{print substr($5,1,3)}') 2>/dev/null`
-	test "x${UNAME_RELEASE}" = "x" && UNAME_RELEASE=3
+	test "x$UNAME_RELEASE" = x && UNAME_RELEASE=3
 	case "`/bin/arch`" in
 	    sun3)
-		echo m68k-sun-sunos${UNAME_RELEASE}
+		echo m68k-sun-sunos"$UNAME_RELEASE"
 		;;
 	    sun4)
-		echo sparc-sun-sunos${UNAME_RELEASE}
+		echo sparc-sun-sunos"$UNAME_RELEASE"
 		;;
 	esac
 	exit ;;
     aushp:SunOS:*:*)
-	echo sparc-auspex-sunos${UNAME_RELEASE}
+	echo sparc-auspex-sunos"$UNAME_RELEASE"
 	exit ;;
     # The situation for MiNT is a little confusing.  The machine name
     # can be virtually everything (everything which is not
@@ -375,44 +446,44 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
     # MiNT.  But MiNT is downward compatible to TOS, so this should
     # be no problem.
     atarist[e]:*MiNT:*:* | atarist[e]:*mint:*:* | atarist[e]:*TOS:*:*)
-        echo m68k-atari-mint${UNAME_RELEASE}
+	echo m68k-atari-mint"$UNAME_RELEASE"
 	exit ;;
     atari*:*MiNT:*:* | atari*:*mint:*:* | atarist[e]:*TOS:*:*)
-	echo m68k-atari-mint${UNAME_RELEASE}
-        exit ;;
+	echo m68k-atari-mint"$UNAME_RELEASE"
+	exit ;;
     *falcon*:*MiNT:*:* | *falcon*:*mint:*:* | *falcon*:*TOS:*:*)
-        echo m68k-atari-mint${UNAME_RELEASE}
+	echo m68k-atari-mint"$UNAME_RELEASE"
 	exit ;;
     milan*:*MiNT:*:* | milan*:*mint:*:* | *milan*:*TOS:*:*)
-        echo m68k-milan-mint${UNAME_RELEASE}
-        exit ;;
+	echo m68k-milan-mint"$UNAME_RELEASE"
+	exit ;;
     hades*:*MiNT:*:* | hades*:*mint:*:* | *hades*:*TOS:*:*)
-        echo m68k-hades-mint${UNAME_RELEASE}
-        exit ;;
+	echo m68k-hades-mint"$UNAME_RELEASE"
+	exit ;;
     *:*MiNT:*:* | *:*mint:*:* | *:*TOS:*:*)
-        echo m68k-unknown-mint${UNAME_RELEASE}
-        exit ;;
+	echo m68k-unknown-mint"$UNAME_RELEASE"
+	exit ;;
     m68k:machten:*:*)
-	echo m68k-apple-machten${UNAME_RELEASE}
+	echo m68k-apple-machten"$UNAME_RELEASE"
 	exit ;;
     powerpc:machten:*:*)
-	echo powerpc-apple-machten${UNAME_RELEASE}
+	echo powerpc-apple-machten"$UNAME_RELEASE"
 	exit ;;
     RISC*:Mach:*:*)
 	echo mips-dec-mach_bsd4.3
 	exit ;;
     RISC*:ULTRIX:*:*)
-	echo mips-dec-ultrix${UNAME_RELEASE}
+	echo mips-dec-ultrix"$UNAME_RELEASE"
 	exit ;;
     VAX*:ULTRIX*:*:*)
-	echo vax-dec-ultrix${UNAME_RELEASE}
+	echo vax-dec-ultrix"$UNAME_RELEASE"
 	exit ;;
     2020:CLIX:*:* | 2430:CLIX:*:*)
-	echo clipper-intergraph-clix${UNAME_RELEASE}
+	echo clipper-intergraph-clix"$UNAME_RELEASE"
 	exit ;;
     mips:*:*:UMIPS | mips:*:*:RISCos)
-	eval $set_cc_for_build
-	sed 's/^	//' << EOF >$dummy.c
+	eval "$set_cc_for_build"
+	sed 's/^	//' << EOF > "$dummy.c"
 #ifdef __cplusplus
 #include <stdio.h>  /* for printf() prototype */
 	int main (int argc, char *argv[]) {
@@ -421,23 +492,23 @@ case "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" in
 #endif
 	#if defined (host_mips) && defined (MIPSEB)
 	#if defined (SYSTYPE_SYSV)
-	  printf ("mips-mips-riscos%ssysv\n", argv[1]); exit (0);
+	  printf ("mips-mips-riscos%ssysv\\n", argv[1]); exit (0);
 	#endif
 	#if defined (SYSTYPE_SVR4)
-	  printf ("mips-mips-riscos%ssvr4\n", argv[1]); exit (0);
+	  printf ("mips-mips-riscos%ssvr4\\n", argv[1]); exit (0);
 	#endif
 	#if defined (SYSTYPE_BSD43) || defined(SYSTYPE_BSD)
-	  printf ("mips-mips-riscos%sbsd\n", argv[1]); exit (0);
+	  printf ("mips-mips-riscos%sbsd\\n", argv[1]); exit (0);
 	#endif
 	#endif
 	  exit (-1);
 	}
 EOF
-	$CC_FOR_BUILD -o $dummy $dummy.c &&
-	  dummyarg=`echo "${UNAME_RELEASE}" | sed -n 's/\([0-9]*\).*/\1/p'` &&
-	  SYSTEM_NAME=`$dummy $dummyarg` &&
+	$CC_FOR_BUILD -o "$dummy" "$dummy.c" &&
+	  dummyarg=`echo "$UNAME_RELEASE" | sed -n 's/\([0-9]*\).*/\1/p'` &&
+	  SYSTEM_NAME=`"$dummy" "$dummyarg"` &&
 	    { echo "$SYSTEM_NAME"; exit; }
-	echo mips-mips-riscos${UNAME_RELEASE}
+	echo mips-mips-riscos"$UNAME_RELEASE"
 	exit ;;
     Motorola:PowerMAX_OS:*:*)
 	echo powerpc-motorola-powermax
@@ -461,21 +532,21 @@ EOF
 	echo m88k-motorola-sysv3
 	exit ;;
     AViiON:dgux:*:*)
-        # DG/UX returns AViiON for all architectures
-        UNAME_PROCESSOR=`/usr/bin/uname -p`
-	if [ $UNAME_PROCESSOR = mc88100 ] || [ $UNAME_PROCESSOR = mc88110 ]
+	# DG/UX returns AViiON for all architectures
+	UNAME_PROCESSOR=`/usr/bin/uname -p`
+	if [ "$UNAME_PROCESSOR" = mc88100 ] || [ "$UNAME_PROCESSOR" = mc88110 ]
 	then
-	    if [ ${TARGET_BINARY_INTERFACE}x = m88kdguxelfx ] || \
-	       [ ${TARGET_BINARY_INTERFACE}x = x ]
+	    if [ "$TARGET_BINARY_INTERFACE"x = m88kdguxelfx ] || \
+	       [ "$TARGET_BINARY_INTERFACE"x = x ]
 	    then
-		echo m88k-dg-dgux${UNAME_RELEASE}
+		echo m88k-dg-dgux"$UNAME_RELEASE"
 	    else
-		echo m88k-dg-dguxbcs${UNAME_RELEASE}
+		echo m88k-dg-dguxbcs"$UNAME_RELEASE"
 	    fi
 	else
-	    echo i586-dg-dgux${UNAME_RELEASE}
+	    echo i586-dg-dgux"$UNAME_RELEASE"
 	fi
- 	exit ;;
+	exit ;;
     M88*:DolphinOS:*:*)	# DolphinOS (SVR3)
 	echo m88k-dolphin-sysv3
 	exit ;;
@@ -490,7 +561,7 @@ EOF
 	echo m68k-tektronix-bsd
 	exit ;;
     *:IRIX*:*:*)
-	echo mips-sgi-irix`echo ${UNAME_RELEASE}|sed -e 's/-/_/g'`
+	echo mips-sgi-irix"`echo "$UNAME_RELEASE"|sed -e 's/-/_/g'`"
 	exit ;;
     ????????:AIX?:[12].1:2)   # AIX 2.2.1 or AIX 2.1.1 is RT/PC AIX.
 	echo romp-ibm-aix     # uname -m gives an 8 hex-code CPU id
@@ -502,14 +573,14 @@ EOF
 	if [ -x /usr/bin/oslevel ] ; then
 		IBM_REV=`/usr/bin/oslevel`
 	else
-		IBM_REV=${UNAME_VERSION}.${UNAME_RELEASE}
+		IBM_REV="$UNAME_VERSION.$UNAME_RELEASE"
 	fi
-	echo ${UNAME_MACHINE}-ibm-aix${IBM_REV}
+	echo "$UNAME_MACHINE"-ibm-aix"$IBM_REV"
 	exit ;;
     *:AIX:2:3)
 	if grep bos325 /usr/include/stdio.h >/dev/null 2>&1; then
-		eval $set_cc_for_build
-		sed 's/^		//' << EOF >$dummy.c
+		eval "$set_cc_for_build"
+		sed 's/^		//' << EOF > "$dummy.c"
 		#include <sys/systemcfg.h>
 
 		main()
@@ -520,7 +591,7 @@ EOF
 			exit(0);
 			}
 EOF
-		if $CC_FOR_BUILD -o $dummy $dummy.c && SYSTEM_NAME=`$dummy`
+		if $CC_FOR_BUILD -o "$dummy" "$dummy.c" && SYSTEM_NAME=`"$dummy"`
 		then
 			echo "$SYSTEM_NAME"
 		else
@@ -532,28 +603,29 @@ EOF
 		echo rs6000-ibm-aix3.2
 	fi
 	exit ;;
-    *:AIX:*:[456])
+    *:AIX:*:[4567])
 	IBM_CPU_ID=`/usr/sbin/lsdev -C -c processor -S available | sed 1q | awk '{ print $1 }'`
-	if /usr/sbin/lsattr -El ${IBM_CPU_ID} | grep ' POWER' >/dev/null 2>&1; then
+	if /usr/sbin/lsattr -El "$IBM_CPU_ID" | grep ' POWER' >/dev/null 2>&1; then
 		IBM_ARCH=rs6000
 	else
 		IBM_ARCH=powerpc
 	fi
-	if [ -x /usr/bin/oslevel ] ; then
-		IBM_REV=`/usr/bin/oslevel`
+	if [ -x /usr/bin/lslpp ] ; then
+		IBM_REV=`/usr/bin/lslpp -Lqc bos.rte.libc |
+			   awk -F: '{ print $3 }' | sed s/[0-9]*$/0/`
 	else
-		IBM_REV=${UNAME_VERSION}.${UNAME_RELEASE}
+		IBM_REV="$UNAME_VERSION.$UNAME_RELEASE"
 	fi
-	echo ${IBM_ARCH}-ibm-aix${IBM_REV}
+	echo "$IBM_ARCH"-ibm-aix"$IBM_REV"
 	exit ;;
     *:AIX:*:*)
 	echo rs6000-ibm-aix
 	exit ;;
-    ibmrt:4.4BSD:*|romp-ibm:BSD:*)
+    ibmrt:4.4BSD:*|romp-ibm:4.4BSD:*)
 	echo romp-ibm-bsd4.4
 	exit ;;
     ibmrt:*BSD:*|romp-ibm:BSD:*)            # covers RT/PC BSD and
-	echo romp-ibm-bsd${UNAME_RELEASE}   # 4.3 with uname added to
+	echo romp-ibm-bsd"$UNAME_RELEASE"   # 4.3 with uname added to
 	exit ;;                             # report: romp-ibm BSD 4.3
     *:BOSX:*:*)
 	echo rs6000-bull-bosx
@@ -568,67 +640,67 @@ EOF
 	echo m68k-hp-bsd4.4
 	exit ;;
     9000/[34678]??:HP-UX:*:*)
-	HPUX_REV=`echo ${UNAME_RELEASE}|sed -e 's/[^.]*.[0B]*//'`
-	case "${UNAME_MACHINE}" in
-	    9000/31? )            HP_ARCH=m68000 ;;
-	    9000/[34]?? )         HP_ARCH=m68k ;;
+	HPUX_REV=`echo "$UNAME_RELEASE"|sed -e 's/[^.]*.[0B]*//'`
+	case "$UNAME_MACHINE" in
+	    9000/31?)            HP_ARCH=m68000 ;;
+	    9000/[34]??)         HP_ARCH=m68k ;;
 	    9000/[678][0-9][0-9])
 		if [ -x /usr/bin/getconf ]; then
 		    sc_cpu_version=`/usr/bin/getconf SC_CPU_VERSION 2>/dev/null`
-                    sc_kernel_bits=`/usr/bin/getconf SC_KERNEL_BITS 2>/dev/null`
-                    case "${sc_cpu_version}" in
-                      523) HP_ARCH="hppa1.0" ;; # CPU_PA_RISC1_0
-                      528) HP_ARCH="hppa1.1" ;; # CPU_PA_RISC1_1
-                      532)                      # CPU_PA_RISC2_0
-                        case "${sc_kernel_bits}" in
-                          32) HP_ARCH="hppa2.0n" ;;
-                          64) HP_ARCH="hppa2.0w" ;;
-			  '') HP_ARCH="hppa2.0" ;;   # HP-UX 10.20
-                        esac ;;
-                    esac
+		    sc_kernel_bits=`/usr/bin/getconf SC_KERNEL_BITS 2>/dev/null`
+		    case "$sc_cpu_version" in
+		      523) HP_ARCH=hppa1.0 ;; # CPU_PA_RISC1_0
+		      528) HP_ARCH=hppa1.1 ;; # CPU_PA_RISC1_1
+		      532)                      # CPU_PA_RISC2_0
+			case "$sc_kernel_bits" in
+			  32) HP_ARCH=hppa2.0n ;;
+			  64) HP_ARCH=hppa2.0w ;;
+			  '') HP_ARCH=hppa2.0 ;;   # HP-UX 10.20
+			esac ;;
+		    esac
 		fi
-		if [ "${HP_ARCH}" = "" ]; then
-		    eval $set_cc_for_build
-		    sed 's/^              //' << EOF >$dummy.c
+		if [ "$HP_ARCH" = "" ]; then
+		    eval "$set_cc_for_build"
+		    sed 's/^		//' << EOF > "$dummy.c"
 
-              #define _HPUX_SOURCE
-              #include <stdlib.h>
-              #include <unistd.h>
+		#define _HPUX_SOURCE
+		#include <stdlib.h>
+		#include <unistd.h>
 
-              int main ()
-              {
-              #if defined(_SC_KERNEL_BITS)
-                  long bits = sysconf(_SC_KERNEL_BITS);
-              #endif
-                  long cpu  = sysconf (_SC_CPU_VERSION);
+		int main ()
+		{
+		#if defined(_SC_KERNEL_BITS)
+		    long bits = sysconf(_SC_KERNEL_BITS);
+		#endif
+		    long cpu  = sysconf (_SC_CPU_VERSION);
 
-                  switch (cpu)
-              	{
-              	case CPU_PA_RISC1_0: puts ("hppa1.0"); break;
-              	case CPU_PA_RISC1_1: puts ("hppa1.1"); break;
-              	case CPU_PA_RISC2_0:
-              #if defined(_SC_KERNEL_BITS)
-              	    switch (bits)
-              		{
-              		case 64: puts ("hppa2.0w"); break;
-              		case 32: puts ("hppa2.0n"); break;
-              		default: puts ("hppa2.0"); break;
-              		} break;
-              #else  /* !defined(_SC_KERNEL_BITS) */
-              	    puts ("hppa2.0"); break;
-              #endif
-              	default: puts ("hppa1.0"); break;
-              	}
-                  exit (0);
-              }
+		    switch (cpu)
+			{
+			case CPU_PA_RISC1_0: puts ("hppa1.0"); break;
+			case CPU_PA_RISC1_1: puts ("hppa1.1"); break;
+			case CPU_PA_RISC2_0:
+		#if defined(_SC_KERNEL_BITS)
+			    switch (bits)
+				{
+				case 64: puts ("hppa2.0w"); break;
+				case 32: puts ("hppa2.0n"); break;
+				default: puts ("hppa2.0"); break;
+				} break;
+		#else  /* !defined(_SC_KERNEL_BITS) */
+			    puts ("hppa2.0"); break;
+		#endif
+			default: puts ("hppa1.0"); break;
+			}
+		    exit (0);
+		}
 EOF
-		    (CCOPTS= $CC_FOR_BUILD -o $dummy $dummy.c 2>/dev/null) && HP_ARCH=`$dummy`
+		    (CCOPTS="" $CC_FOR_BUILD -o "$dummy" "$dummy.c" 2>/dev/null) && HP_ARCH=`"$dummy"`
 		    test -z "$HP_ARCH" && HP_ARCH=hppa
 		fi ;;
 	esac
-	if [ ${HP_ARCH} = "hppa2.0w" ]
+	if [ "$HP_ARCH" = hppa2.0w ]
 	then
-	    eval $set_cc_for_build
+	    eval "$set_cc_for_build"
 
 	    # hppa2.0w-hp-hpux* has a 64-bit kernel and a compiler generating
 	    # 32-bit code.  hppa64-hp-hpux* has the same kernel and a compiler
@@ -639,23 +711,23 @@ EOF
 	    # $ CC_FOR_BUILD="cc +DA2.0w" ./config.guess
 	    # => hppa64-hp-hpux11.23
 
-	    if echo __LP64__ | (CCOPTS= $CC_FOR_BUILD -E - 2>/dev/null) |
-		grep __LP64__ >/dev/null
+	    if echo __LP64__ | (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) |
+		grep -q __LP64__
 	    then
-		HP_ARCH="hppa2.0w"
+		HP_ARCH=hppa2.0w
 	    else
-		HP_ARCH="hppa64"
+		HP_ARCH=hppa64
 	    fi
 	fi
-	echo ${HP_ARCH}-hp-hpux${HPUX_REV}
+	echo "$HP_ARCH"-hp-hpux"$HPUX_REV"
 	exit ;;
     ia64:HP-UX:*:*)
-	HPUX_REV=`echo ${UNAME_RELEASE}|sed -e 's/[^.]*.[0B]*//'`
-	echo ia64-hp-hpux${HPUX_REV}
+	HPUX_REV=`echo "$UNAME_RELEASE"|sed -e 's/[^.]*.[0B]*//'`
+	echo ia64-hp-hpux"$HPUX_REV"
 	exit ;;
     3050*:HI-UX:*:*)
-	eval $set_cc_for_build
-	sed 's/^	//' << EOF >$dummy.c
+	eval "$set_cc_for_build"
+	sed 's/^	//' << EOF > "$dummy.c"
 	#include <unistd.h>
 	int
 	main ()
@@ -680,11 +752,11 @@ EOF
 	  exit (0);
 	}
 EOF
-	$CC_FOR_BUILD -o $dummy $dummy.c && SYSTEM_NAME=`$dummy` &&
+	$CC_FOR_BUILD -o "$dummy" "$dummy.c" && SYSTEM_NAME=`"$dummy"` &&
 		{ echo "$SYSTEM_NAME"; exit; }
 	echo unknown-hitachi-hiuxwe2
 	exit ;;
-    9000/7??:4.3bsd:*:* | 9000/8?[79]:4.3bsd:*:* )
+    9000/7??:4.3bsd:*:* | 9000/8?[79]:4.3bsd:*:*)
 	echo hppa1.1-hp-bsd
 	exit ;;
     9000/8??:4.3bsd:*:*)
@@ -693,7 +765,7 @@ EOF
     *9??*:MPE/iX:*:* | *3000*:MPE/iX:*:*)
 	echo hppa1.0-hp-mpeix
 	exit ;;
-    hp7??:OSF1:*:* | hp8?[79]:OSF1:*:* )
+    hp7??:OSF1:*:* | hp8?[79]:OSF1:*:*)
 	echo hppa1.1-hp-osf
 	exit ;;
     hp8??:OSF1:*:*)
@@ -701,9 +773,9 @@ EOF
 	exit ;;
     i*86:OSF1:*:*)
 	if [ -x /usr/sbin/sysversion ] ; then
-	    echo ${UNAME_MACHINE}-unknown-osf1mk
+	    echo "$UNAME_MACHINE"-unknown-osf1mk
 	else
-	    echo ${UNAME_MACHINE}-unknown-osf1
+	    echo "$UNAME_MACHINE"-unknown-osf1
 	fi
 	exit ;;
     parisc*:Lites*:*:*)
@@ -711,325 +783,274 @@ EOF
 	exit ;;
     C1*:ConvexOS:*:* | convex:ConvexOS:C1*:*)
 	echo c1-convex-bsd
-        exit ;;
+	exit ;;
     C2*:ConvexOS:*:* | convex:ConvexOS:C2*:*)
 	if getsysinfo -f scalar_acc
 	then echo c32-convex-bsd
 	else echo c2-convex-bsd
 	fi
-        exit ;;
+	exit ;;
     C34*:ConvexOS:*:* | convex:ConvexOS:C34*:*)
 	echo c34-convex-bsd
-        exit ;;
+	exit ;;
     C38*:ConvexOS:*:* | convex:ConvexOS:C38*:*)
 	echo c38-convex-bsd
-        exit ;;
+	exit ;;
     C4*:ConvexOS:*:* | convex:ConvexOS:C4*:*)
 	echo c4-convex-bsd
-        exit ;;
+	exit ;;
     CRAY*Y-MP:*:*:*)
-	echo ymp-cray-unicos${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/'
+	echo ymp-cray-unicos"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'
 	exit ;;
     CRAY*[A-Z]90:*:*:*)
-	echo ${UNAME_MACHINE}-cray-unicos${UNAME_RELEASE} \
+	echo "$UNAME_MACHINE"-cray-unicos"$UNAME_RELEASE" \
 	| sed -e 's/CRAY.*\([A-Z]90\)/\1/' \
 	      -e y/ABCDEFGHIJKLMNOPQRSTUVWXYZ/abcdefghijklmnopqrstuvwxyz/ \
 	      -e 's/\.[^.]*$/.X/'
 	exit ;;
     CRAY*TS:*:*:*)
-	echo t90-cray-unicos${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/'
+	echo t90-cray-unicos"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'
 	exit ;;
     CRAY*T3E:*:*:*)
-	echo alphaev5-cray-unicosmk${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/'
+	echo alphaev5-cray-unicosmk"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'
 	exit ;;
     CRAY*SV1:*:*:*)
-	echo sv1-cray-unicos${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/'
+	echo sv1-cray-unicos"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'
 	exit ;;
     *:UNICOS/mp:*:*)
-	echo craynv-cray-unicosmp${UNAME_RELEASE} | sed -e 's/\.[^.]*$/.X/'
+	echo craynv-cray-unicosmp"$UNAME_RELEASE" | sed -e 's/\.[^.]*$/.X/'
 	exit ;;
     F30[01]:UNIX_System_V:*:* | F700:UNIX_System_V:*:*)
-	FUJITSU_PROC=`uname -m | tr 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' 'abcdefghijklmnopqrstuvwxyz'`
-        FUJITSU_SYS=`uname -p | tr 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' 'abcdefghijklmnopqrstuvwxyz' | sed -e 's/\///'`
-        FUJITSU_REL=`echo ${UNAME_RELEASE} | sed -e 's/ /_/'`
-        echo "${FUJITSU_PROC}-fujitsu-${FUJITSU_SYS}${FUJITSU_REL}"
-        exit ;;
+	FUJITSU_PROC=`uname -m | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz`
+	FUJITSU_SYS=`uname -p | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/\///'`
+	FUJITSU_REL=`echo "$UNAME_RELEASE" | sed -e 's/ /_/'`
+	echo "${FUJITSU_PROC}-fujitsu-${FUJITSU_SYS}${FUJITSU_REL}"
+	exit ;;
     5000:UNIX_System_V:4.*:*)
-        FUJITSU_SYS=`uname -p | tr 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' 'abcdefghijklmnopqrstuvwxyz' | sed -e 's/\///'`
-        FUJITSU_REL=`echo ${UNAME_RELEASE} | tr 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' 'abcdefghijklmnopqrstuvwxyz' | sed -e 's/ /_/'`
-        echo "sparc-fujitsu-${FUJITSU_SYS}${FUJITSU_REL}"
+	FUJITSU_SYS=`uname -p | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/\///'`
+	FUJITSU_REL=`echo "$UNAME_RELEASE" | tr ABCDEFGHIJKLMNOPQRSTUVWXYZ abcdefghijklmnopqrstuvwxyz | sed -e 's/ /_/'`
+	echo "sparc-fujitsu-${FUJITSU_SYS}${FUJITSU_REL}"
 	exit ;;
     i*86:BSD/386:*:* | i*86:BSD/OS:*:* | *:Ascend\ Embedded/OS:*:*)
-	echo ${UNAME_MACHINE}-pc-bsdi${UNAME_RELEASE}
+	echo "$UNAME_MACHINE"-pc-bsdi"$UNAME_RELEASE"
 	exit ;;
     sparc*:BSD/OS:*:*)
-	echo sparc-unknown-bsdi${UNAME_RELEASE}
+	echo sparc-unknown-bsdi"$UNAME_RELEASE"
 	exit ;;
     *:BSD/OS:*:*)
-	echo ${UNAME_MACHINE}-unknown-bsdi${UNAME_RELEASE}
+	echo "$UNAME_MACHINE"-unknown-bsdi"$UNAME_RELEASE"
 	exit ;;
     *:FreeBSD:*:*)
-	case ${UNAME_MACHINE} in
-	    pc98)
-		echo i386-unknown-freebsd`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'` ;;
+	UNAME_PROCESSOR=`/usr/bin/uname -p`
+	case "$UNAME_PROCESSOR" in
 	    amd64)
-		echo x86_64-unknown-freebsd`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'` ;;
-	    *)
-		echo ${UNAME_MACHINE}-unknown-freebsd`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'` ;;
+		UNAME_PROCESSOR=x86_64 ;;
+	    i386)
+		UNAME_PROCESSOR=i586 ;;
 	esac
+	echo "$UNAME_PROCESSOR"-unknown-freebsd"`echo "$UNAME_RELEASE"|sed -e 's/[-(].*//'`"
 	exit ;;
     i*:CYGWIN*:*)
-	echo ${UNAME_MACHINE}-pc-cygwin
+	echo "$UNAME_MACHINE"-pc-cygwin
+	exit ;;
+    *:MINGW64*:*)
+	echo "$UNAME_MACHINE"-pc-mingw64
 	exit ;;
     *:MINGW*:*)
-	echo ${UNAME_MACHINE}-pc-mingw32
+	echo "$UNAME_MACHINE"-pc-mingw32
 	exit ;;
-    i*:windows32*:*)
-    	# uname -m includes "-pc" on this system.
-    	echo ${UNAME_MACHINE}-mingw32
+    *:MSYS*:*)
+	echo "$UNAME_MACHINE"-pc-msys
 	exit ;;
     i*:PW*:*)
-	echo ${UNAME_MACHINE}-pc-pw32
+	echo "$UNAME_MACHINE"-pc-pw32
 	exit ;;
-    *:Interix*:[3456]*)
-    	case ${UNAME_MACHINE} in
+    *:Interix*:*)
+	case "$UNAME_MACHINE" in
 	    x86)
-		echo i586-pc-interix${UNAME_RELEASE}
+		echo i586-pc-interix"$UNAME_RELEASE"
 		exit ;;
-	    EM64T | authenticamd)
-		echo x86_64-unknown-interix${UNAME_RELEASE}
+	    authenticamd | genuineintel | EM64T)
+		echo x86_64-unknown-interix"$UNAME_RELEASE"
 		exit ;;
 	    IA64)
-		echo ia64-unknown-interix${UNAME_RELEASE}
+		echo ia64-unknown-interix"$UNAME_RELEASE"
 		exit ;;
 	esac ;;
-    [345]86:Windows_95:* | [345]86:Windows_98:* | [345]86:Windows_NT:*)
-	echo i${UNAME_MACHINE}-pc-mks
-	exit ;;
-    i*:Windows_NT*:* | Pentium*:Windows_NT*:*)
-	# How do we know it's Interix rather than the generic POSIX subsystem?
-	# It also conflicts with pre-2.0 versions of AT&T UWIN. Should we
-	# UNAME_MACHINE based on the output of uname instead of i386?
-	echo i586-pc-interix
-	exit ;;
     i*:UWIN*:*)
-	echo ${UNAME_MACHINE}-pc-uwin
+	echo "$UNAME_MACHINE"-pc-uwin
 	exit ;;
     amd64:CYGWIN*:*:* | x86_64:CYGWIN*:*:*)
 	echo x86_64-unknown-cygwin
 	exit ;;
-    p*:CYGWIN*:*)
-	echo powerpcle-unknown-cygwin
-	exit ;;
     prep*:SunOS:5.*:*)
-	echo powerpcle-unknown-solaris2`echo ${UNAME_RELEASE}|sed -e 's/[^.]*//'`
+	echo powerpcle-unknown-solaris2"`echo "$UNAME_RELEASE"|sed -e 's/[^.]*//'`"
 	exit ;;
     *:GNU:*:*)
 	# the GNU system
-	echo `echo ${UNAME_MACHINE}|sed -e 's,[-/].*$,,'`-unknown-gnu`echo ${UNAME_RELEASE}|sed -e 's,/.*$,,'`
+	echo "`echo "$UNAME_MACHINE"|sed -e 's,[-/].*$,,'`-unknown-$LIBC`echo "$UNAME_RELEASE"|sed -e 's,/.*$,,'`"
 	exit ;;
     *:GNU/*:*:*)
 	# other systems with GNU libc and userland
-	echo ${UNAME_MACHINE}-unknown-`echo ${UNAME_SYSTEM} | sed 's,^[^/]*/,,' | tr '[A-Z]' '[a-z]'``echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'`-gnu
+	echo "$UNAME_MACHINE-unknown-`echo "$UNAME_SYSTEM" | sed 's,^[^/]*/,,' | tr "[:upper:]" "[:lower:]"``echo "$UNAME_RELEASE"|sed -e 's/[-(].*//'`-$LIBC"
 	exit ;;
     i*86:Minix:*:*)
-	echo ${UNAME_MACHINE}-pc-minix
+	echo "$UNAME_MACHINE"-pc-minix
+	exit ;;
+    aarch64:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
+	exit ;;
+    aarch64_be:Linux:*:*)
+	UNAME_MACHINE=aarch64_be
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
+	exit ;;
+    alpha:Linux:*:*)
+	case `sed -n '/^cpu model/s/^.*: \(.*\)/\1/p' < /proc/cpuinfo` in
+	  EV5)   UNAME_MACHINE=alphaev5 ;;
+	  EV56)  UNAME_MACHINE=alphaev56 ;;
+	  PCA56) UNAME_MACHINE=alphapca56 ;;
+	  PCA57) UNAME_MACHINE=alphapca56 ;;
+	  EV6)   UNAME_MACHINE=alphaev6 ;;
+	  EV67)  UNAME_MACHINE=alphaev67 ;;
+	  EV68*) UNAME_MACHINE=alphaev68 ;;
+	esac
+	objdump --private-headers /bin/sh | grep -q ld.so.1
+	if test "$?" = 0 ; then LIBC=gnulibc1 ; fi
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
+	exit ;;
+    arc:Linux:*:* | arceb:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     arm*:Linux:*:*)
-	eval $set_cc_for_build
+	eval "$set_cc_for_build"
 	if echo __ARM_EABI__ | $CC_FOR_BUILD -E - 2>/dev/null \
 	    | grep -q __ARM_EABI__
 	then
-	    echo ${UNAME_MACHINE}-unknown-linux-gnu
+	    echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	else
-	    echo ${UNAME_MACHINE}-unknown-linux-gnueabi
+	    if echo __ARM_PCS_VFP | $CC_FOR_BUILD -E - 2>/dev/null \
+		| grep -q __ARM_PCS_VFP
+	    then
+		echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"eabi
+	    else
+		echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"eabihf
+	    fi
 	fi
 	exit ;;
     avr32*:Linux:*:*)
-	echo ${UNAME_MACHINE}-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     cris:Linux:*:*)
-	echo cris-axis-linux-gnu
+	echo "$UNAME_MACHINE"-axis-linux-"$LIBC"
 	exit ;;
     crisv32:Linux:*:*)
-	echo crisv32-axis-linux-gnu
+	echo "$UNAME_MACHINE"-axis-linux-"$LIBC"
+	exit ;;
+    e2k:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     frv:Linux:*:*)
-    	echo frv-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
+	exit ;;
+    hexagon:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
+	exit ;;
+    i*86:Linux:*:*)
+	echo "$UNAME_MACHINE"-pc-linux-"$LIBC"
 	exit ;;
     ia64:Linux:*:*)
-	echo ${UNAME_MACHINE}-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
+	exit ;;
+    k1om:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     m32r*:Linux:*:*)
-	echo ${UNAME_MACHINE}-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     m68*:Linux:*:*)
-	echo ${UNAME_MACHINE}-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
-    mips:Linux:*:*)
-	eval $set_cc_for_build
-	sed 's/^	//' << EOF >$dummy.c
+    mips:Linux:*:* | mips64:Linux:*:*)
+	eval "$set_cc_for_build"
+	sed 's/^	//' << EOF > "$dummy.c"
 	#undef CPU
-	#undef mips
-	#undef mipsel
+	#undef ${UNAME_MACHINE}
+	#undef ${UNAME_MACHINE}el
 	#if defined(__MIPSEL__) || defined(__MIPSEL) || defined(_MIPSEL) || defined(MIPSEL)
-	CPU=mipsel
+	CPU=${UNAME_MACHINE}el
 	#else
 	#if defined(__MIPSEB__) || defined(__MIPSEB) || defined(_MIPSEB) || defined(MIPSEB)
-	CPU=mips
+	CPU=${UNAME_MACHINE}
 	#else
 	CPU=
 	#endif
 	#endif
 EOF
-	eval "`$CC_FOR_BUILD -E $dummy.c 2>/dev/null | sed -n '
-	    /^CPU/{
-		s: ::g
-		p
-	    }'`"
-	test x"${CPU}" != x && { echo "${CPU}-unknown-linux-gnu"; exit; }
+	eval "`$CC_FOR_BUILD -E "$dummy.c" 2>/dev/null | grep '^CPU'`"
+	test "x$CPU" != x && { echo "$CPU-unknown-linux-$LIBC"; exit; }
 	;;
-    mips64:Linux:*:*)
-	eval $set_cc_for_build
-	sed 's/^	//' << EOF >$dummy.c
-	#undef CPU
-	#undef mips64
-	#undef mips64el
-	#if defined(__MIPSEL__) || defined(__MIPSEL) || defined(_MIPSEL) || defined(MIPSEL)
-	CPU=mips64el
-	#else
-	#if defined(__MIPSEB__) || defined(__MIPSEB) || defined(_MIPSEB) || defined(MIPSEB)
-	CPU=mips64
-	#else
-	CPU=
-	#endif
-	#endif
-EOF
-	eval "`$CC_FOR_BUILD -E $dummy.c 2>/dev/null | sed -n '
-	    /^CPU/{
-		s: ::g
-		p
-	    }'`"
-	test x"${CPU}" != x && { echo "${CPU}-unknown-linux-gnu"; exit; }
-	;;
-    or32:Linux:*:*)
-	echo or32-unknown-linux-gnu
+    mips64el:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
-    ppc:Linux:*:*)
-	echo powerpc-unknown-linux-gnu
+    openrisc*:Linux:*:*)
+	echo or1k-unknown-linux-"$LIBC"
 	exit ;;
-    ppc64:Linux:*:*)
-	echo powerpc64-unknown-linux-gnu
+    or32:Linux:*:* | or1k*:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
-    alpha:Linux:*:*)
-	case `sed -n '/^cpu model/s/^.*: \(.*\)/\1/p' < /proc/cpuinfo` in
-	  EV5)   UNAME_MACHINE=alphaev5 ;;
-	  EV56)  UNAME_MACHINE=alphaev56 ;;
-	  PCA56) UNAME_MACHINE=alphapca56 ;;
-	  PCA57) UNAME_MACHINE=alphapca56 ;;
-	  EV6)   UNAME_MACHINE=alphaev6 ;;
-	  EV67)  UNAME_MACHINE=alphaev67 ;;
-	  EV68*) UNAME_MACHINE=alphaev68 ;;
-        esac
-	objdump --private-headers /bin/sh | grep ld.so.1 >/dev/null
-	if test "$?" = 0 ; then LIBC="libc1" ; else LIBC="" ; fi
-	echo ${UNAME_MACHINE}-unknown-linux-gnu${LIBC}
+    padre:Linux:*:*)
+	echo sparc-unknown-linux-"$LIBC"
+	exit ;;
+    parisc64:Linux:*:* | hppa64:Linux:*:*)
+	echo hppa64-unknown-linux-"$LIBC"
 	exit ;;
     parisc:Linux:*:* | hppa:Linux:*:*)
 	# Look for CPU level
 	case `grep '^cpu[^a-z]*:' /proc/cpuinfo 2>/dev/null | cut -d' ' -f2` in
-	  PA7*) echo hppa1.1-unknown-linux-gnu ;;
-	  PA8*) echo hppa2.0-unknown-linux-gnu ;;
-	  *)    echo hppa-unknown-linux-gnu ;;
+	  PA7*) echo hppa1.1-unknown-linux-"$LIBC" ;;
+	  PA8*) echo hppa2.0-unknown-linux-"$LIBC" ;;
+	  *)    echo hppa-unknown-linux-"$LIBC" ;;
 	esac
 	exit ;;
-    parisc64:Linux:*:* | hppa64:Linux:*:*)
-	echo hppa64-unknown-linux-gnu
+    ppc64:Linux:*:*)
+	echo powerpc64-unknown-linux-"$LIBC"
+	exit ;;
+    ppc:Linux:*:*)
+	echo powerpc-unknown-linux-"$LIBC"
+	exit ;;
+    ppc64le:Linux:*:*)
+	echo powerpc64le-unknown-linux-"$LIBC"
+	exit ;;
+    ppcle:Linux:*:*)
+	echo powerpcle-unknown-linux-"$LIBC"
+	exit ;;
+    riscv32:Linux:*:* | riscv64:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     s390:Linux:*:* | s390x:Linux:*:*)
-	echo ${UNAME_MACHINE}-ibm-linux
+	echo "$UNAME_MACHINE"-ibm-linux-"$LIBC"
 	exit ;;
     sh64*:Linux:*:*)
-    	echo ${UNAME_MACHINE}-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     sh*:Linux:*:*)
-	echo ${UNAME_MACHINE}-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     sparc:Linux:*:* | sparc64:Linux:*:*)
-	echo ${UNAME_MACHINE}-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
+	exit ;;
+    tile*:Linux:*:*)
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
     vax:Linux:*:*)
-	echo ${UNAME_MACHINE}-dec-linux-gnu
+	echo "$UNAME_MACHINE"-dec-linux-"$LIBC"
 	exit ;;
     x86_64:Linux:*:*)
-	echo x86_64-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-pc-linux-"$LIBC"
 	exit ;;
     xtensa*:Linux:*:*)
-    	echo ${UNAME_MACHINE}-unknown-linux-gnu
+	echo "$UNAME_MACHINE"-unknown-linux-"$LIBC"
 	exit ;;
-    i*86:Linux:*:*)
-	# The BFD linker knows what the default object file format is, so
-	# first see if it will tell us. cd to the root directory to prevent
-	# problems with other programs or directories called `ld' in the path.
-	# Set LC_ALL=C to ensure ld outputs messages in English.
-	ld_supported_targets=`cd /; LC_ALL=C ld --help 2>&1 \
-			 | sed -ne '/supported targets:/!d
-				    s/[ 	][ 	]*/ /g
-				    s/.*supported targets: *//
-				    s/ .*//
-				    p'`
-        case "$ld_supported_targets" in
-	  elf32-i386)
-		TENTATIVE="${UNAME_MACHINE}-pc-linux-gnu"
-		;;
-	  a.out-i386-linux)
-		echo "${UNAME_MACHINE}-pc-linux-gnuaout"
-		exit ;;
-	  coff-i386)
-		echo "${UNAME_MACHINE}-pc-linux-gnucoff"
-		exit ;;
-	  "")
-		# Either a pre-BFD a.out linker (linux-gnuoldld) or
-		# one that does not give us useful --help.
-		echo "${UNAME_MACHINE}-pc-linux-gnuoldld"
-		exit ;;
-	esac
-	# Determine whether the default compiler is a.out or elf
-	eval $set_cc_for_build
-	sed 's/^	//' << EOF >$dummy.c
-	#include <features.h>
-	#ifdef __ELF__
-	# ifdef __GLIBC__
-	#  if __GLIBC__ >= 2
-	LIBC=gnu
-	#  else
-	LIBC=gnulibc1
-	#  endif
-	# else
-	LIBC=gnulibc1
-	# endif
-	#else
-	#if defined(__INTEL_COMPILER) || defined(__PGI) || defined(__SUNPRO_C) || defined(__SUNPRO_CC)
-	LIBC=gnu
-	#else
-	LIBC=gnuaout
-	#endif
-	#endif
-	#ifdef __dietlibc__
-	LIBC=dietlibc
-	#endif
-EOF
-	eval "`$CC_FOR_BUILD -E $dummy.c 2>/dev/null | sed -n '
-	    /^LIBC/{
-		s: ::g
-		p
-	    }'`"
-	test x"${LIBC}" != x && {
-		echo "${UNAME_MACHINE}-pc-linux-${LIBC}"
-		exit
-	}
-	test x"${TENTATIVE}" != x && { echo "${TENTATIVE}"; exit; }
-	;;
     i*86:DYNIX/ptx:4*:*)
 	# ptx 4.0 does uname -s correctly, with DYNIX/ptx in there.
 	# earlier versions are messed up and put the nodename in both
@@ -1037,54 +1058,54 @@ EOF
 	echo i386-sequent-sysv4
 	exit ;;
     i*86:UNIX_SV:4.2MP:2.*)
-        # Unixware is an offshoot of SVR4, but it has its own version
-        # number series starting with 2...
-        # I am not positive that other SVR4 systems won't match this,
+	# Unixware is an offshoot of SVR4, but it has its own version
+	# number series starting with 2...
+	# I am not positive that other SVR4 systems won't match this,
 	# I just have to hope.  -- rms.
-        # Use sysv4.2uw... so that sysv4* matches it.
-	echo ${UNAME_MACHINE}-pc-sysv4.2uw${UNAME_VERSION}
+	# Use sysv4.2uw... so that sysv4* matches it.
+	echo "$UNAME_MACHINE"-pc-sysv4.2uw"$UNAME_VERSION"
 	exit ;;
     i*86:OS/2:*:*)
 	# If we were able to find `uname', then EMX Unix compatibility
 	# is probably installed.
-	echo ${UNAME_MACHINE}-pc-os2-emx
+	echo "$UNAME_MACHINE"-pc-os2-emx
 	exit ;;
     i*86:XTS-300:*:STOP)
-	echo ${UNAME_MACHINE}-unknown-stop
+	echo "$UNAME_MACHINE"-unknown-stop
 	exit ;;
     i*86:atheos:*:*)
-	echo ${UNAME_MACHINE}-unknown-atheos
+	echo "$UNAME_MACHINE"-unknown-atheos
 	exit ;;
     i*86:syllable:*:*)
-	echo ${UNAME_MACHINE}-pc-syllable
+	echo "$UNAME_MACHINE"-pc-syllable
 	exit ;;
-    i*86:LynxOS:2.*:* | i*86:LynxOS:3.[01]*:* | i*86:LynxOS:4.0*:*)
-	echo i386-unknown-lynxos${UNAME_RELEASE}
+    i*86:LynxOS:2.*:* | i*86:LynxOS:3.[01]*:* | i*86:LynxOS:4.[02]*:*)
+	echo i386-unknown-lynxos"$UNAME_RELEASE"
 	exit ;;
     i*86:*DOS:*:*)
-	echo ${UNAME_MACHINE}-pc-msdosdjgpp
+	echo "$UNAME_MACHINE"-pc-msdosdjgpp
 	exit ;;
-    i*86:*:4.*:* | i*86:SYSTEM_V:4.*:*)
-	UNAME_REL=`echo ${UNAME_RELEASE} | sed 's/\/MP$//'`
+    i*86:*:4.*:*)
+	UNAME_REL=`echo "$UNAME_RELEASE" | sed 's/\/MP$//'`
 	if grep Novell /usr/include/link.h >/dev/null 2>/dev/null; then
-		echo ${UNAME_MACHINE}-univel-sysv${UNAME_REL}
+		echo "$UNAME_MACHINE"-univel-sysv"$UNAME_REL"
 	else
-		echo ${UNAME_MACHINE}-pc-sysv${UNAME_REL}
+		echo "$UNAME_MACHINE"-pc-sysv"$UNAME_REL"
 	fi
 	exit ;;
     i*86:*:5:[678]*)
-    	# UnixWare 7.x, OpenUNIX and OpenServer 6.
+	# UnixWare 7.x, OpenUNIX and OpenServer 6.
 	case `/bin/uname -X | grep "^Machine"` in
 	    *486*)	     UNAME_MACHINE=i486 ;;
 	    *Pentium)	     UNAME_MACHINE=i586 ;;
 	    *Pent*|*Celeron) UNAME_MACHINE=i686 ;;
 	esac
-	echo ${UNAME_MACHINE}-unknown-sysv${UNAME_RELEASE}${UNAME_SYSTEM}${UNAME_VERSION}
+	echo "$UNAME_MACHINE-unknown-sysv${UNAME_RELEASE}${UNAME_SYSTEM}{$UNAME_VERSION}"
 	exit ;;
     i*86:*:3.2:*)
 	if test -f /usr/options/cb.name; then
 		UNAME_REL=`sed -n 's/.*Version //p' </usr/options/cb.name`
-		echo ${UNAME_MACHINE}-pc-isc$UNAME_REL
+		echo "$UNAME_MACHINE"-pc-isc"$UNAME_REL"
 	elif /bin/uname -X 2>/dev/null >/dev/null ; then
 		UNAME_REL=`(/bin/uname -X|grep Release|sed -e 's/.*= //')`
 		(/bin/uname -X|grep i80486 >/dev/null) && UNAME_MACHINE=i486
@@ -1094,17 +1115,20 @@ EOF
 			&& UNAME_MACHINE=i686
 		(/bin/uname -X|grep '^Machine.*Pentium Pro' >/dev/null) \
 			&& UNAME_MACHINE=i686
-		echo ${UNAME_MACHINE}-pc-sco$UNAME_REL
+		echo "$UNAME_MACHINE"-pc-sco"$UNAME_REL"
 	else
-		echo ${UNAME_MACHINE}-pc-sysv32
+		echo "$UNAME_MACHINE"-pc-sysv32
 	fi
 	exit ;;
     pc:*:*:*)
 	# Left here for compatibility:
-        # uname -m prints for DJGPP always 'pc', but it prints nothing about
-        # the processor, so we play safe by assuming i386.
-	echo i386-pc-msdosdjgpp
-        exit ;;
+	# uname -m prints for DJGPP always 'pc', but it prints nothing about
+	# the processor, so we play safe by assuming i586.
+	# Note: whatever this is, it MUST be the same as what config.sub
+	# prints for the "djgpp" host, or else GDB configure will decide that
+	# this is a cross-build.
+	echo i586-pc-msdosdjgpp
+	exit ;;
     Intel:Mach:3*:*)
 	echo i386-pc-mach3
 	exit ;;
@@ -1113,9 +1137,9 @@ EOF
 	exit ;;
     i860:*:4.*:*) # i860-SVR4
 	if grep Stardent /usr/include/sys/uadmin.h >/dev/null 2>&1 ; then
-	  echo i860-stardent-sysv${UNAME_RELEASE} # Stardent Vistra i860-SVR4
+	  echo i860-stardent-sysv"$UNAME_RELEASE" # Stardent Vistra i860-SVR4
 	else # Add other i860-SVR4 vendors below as they are discovered.
-	  echo i860-unknown-sysv${UNAME_RELEASE}  # Unknown i860-SVR4
+	  echo i860-unknown-sysv"$UNAME_RELEASE"  # Unknown i860-SVR4
 	fi
 	exit ;;
     mini*:CTIX:SYS*5:*)
@@ -1135,29 +1159,39 @@ EOF
 	test -r /etc/.relid \
 	&& OS_REL=.`sed -n 's/[^ ]* [^ ]* \([0-9][0-9]\).*/\1/p' < /etc/.relid`
 	/bin/uname -p 2>/dev/null | grep 86 >/dev/null \
-	  && { echo i486-ncr-sysv4.3${OS_REL}; exit; }
+	  && { echo i486-ncr-sysv4.3"$OS_REL"; exit; }
 	/bin/uname -p 2>/dev/null | /bin/grep entium >/dev/null \
-	  && { echo i586-ncr-sysv4.3${OS_REL}; exit; } ;;
+	  && { echo i586-ncr-sysv4.3"$OS_REL"; exit; } ;;
     3[34]??:*:4.0:* | 3[34]??,*:*:4.0:*)
-        /bin/uname -p 2>/dev/null | grep 86 >/dev/null \
-          && { echo i486-ncr-sysv4; exit; } ;;
+	/bin/uname -p 2>/dev/null | grep 86 >/dev/null \
+	  && { echo i486-ncr-sysv4; exit; } ;;
+    NCR*:*:4.2:* | MPRAS*:*:4.2:*)
+	OS_REL='.3'
+	test -r /etc/.relid \
+	    && OS_REL=.`sed -n 's/[^ ]* [^ ]* \([0-9][0-9]\).*/\1/p' < /etc/.relid`
+	/bin/uname -p 2>/dev/null | grep 86 >/dev/null \
+	    && { echo i486-ncr-sysv4.3"$OS_REL"; exit; }
+	/bin/uname -p 2>/dev/null | /bin/grep entium >/dev/null \
+	    && { echo i586-ncr-sysv4.3"$OS_REL"; exit; }
+	/bin/uname -p 2>/dev/null | /bin/grep pteron >/dev/null \
+	    && { echo i586-ncr-sysv4.3"$OS_REL"; exit; } ;;
     m68*:LynxOS:2.*:* | m68*:LynxOS:3.0*:*)
-	echo m68k-unknown-lynxos${UNAME_RELEASE}
+	echo m68k-unknown-lynxos"$UNAME_RELEASE"
 	exit ;;
     mc68030:UNIX_System_V:4.*:*)
 	echo m68k-atari-sysv4
 	exit ;;
     TSUNAMI:LynxOS:2.*:*)
-	echo sparc-unknown-lynxos${UNAME_RELEASE}
+	echo sparc-unknown-lynxos"$UNAME_RELEASE"
 	exit ;;
     rs6000:LynxOS:2.*:*)
-	echo rs6000-unknown-lynxos${UNAME_RELEASE}
+	echo rs6000-unknown-lynxos"$UNAME_RELEASE"
 	exit ;;
-    PowerPC:LynxOS:2.*:* | PowerPC:LynxOS:3.[01]*:* | PowerPC:LynxOS:4.0*:*)
-	echo powerpc-unknown-lynxos${UNAME_RELEASE}
+    PowerPC:LynxOS:2.*:* | PowerPC:LynxOS:3.[01]*:* | PowerPC:LynxOS:4.[02]*:*)
+	echo powerpc-unknown-lynxos"$UNAME_RELEASE"
 	exit ;;
     SM[BE]S:UNIX_SV:*:*)
-	echo mips-dde-sysv${UNAME_RELEASE}
+	echo mips-dde-sysv"$UNAME_RELEASE"
 	exit ;;
     RM*:ReliantUNIX-*:*:*)
 	echo mips-sni-sysv4
@@ -1168,15 +1202,15 @@ EOF
     *:SINIX-*:*:*)
 	if uname -p 2>/dev/null >/dev/null ; then
 		UNAME_MACHINE=`(uname -p) 2>/dev/null`
-		echo ${UNAME_MACHINE}-sni-sysv4
+		echo "$UNAME_MACHINE"-sni-sysv4
 	else
 		echo ns32k-sni-sysv
 	fi
 	exit ;;
-    PENTIUM:*:4.0*:*) # Unisys `ClearPath HMP IX 4000' SVR4/MP effort
-                      # says <Richard.M.Bartel@ccMail.Census.GOV>
-        echo i586-unisys-sysv4
-        exit ;;
+    PENTIUM:*:4.0*:*)	# Unisys `ClearPath HMP IX 4000' SVR4/MP effort
+			# says <Richard.M.Bartel@ccMail.Census.GOV>
+	echo i586-unisys-sysv4
+	exit ;;
     *:UNIX_System_V:4*:FTX*)
 	# From Gerald Hewes <hewes@openmarket.com>.
 	# How about differentiating between stratus architectures? -djm
@@ -1188,25 +1222,25 @@ EOF
 	exit ;;
     i*86:VOS:*:*)
 	# From Paul.Green@stratus.com.
-	echo ${UNAME_MACHINE}-stratus-vos
+	echo "$UNAME_MACHINE"-stratus-vos
 	exit ;;
     *:VOS:*:*)
 	# From Paul.Green@stratus.com.
 	echo hppa1.1-stratus-vos
 	exit ;;
     mc68*:A/UX:*:*)
-	echo m68k-apple-aux${UNAME_RELEASE}
+	echo m68k-apple-aux"$UNAME_RELEASE"
 	exit ;;
     news*:NEWS-OS:6*:*)
 	echo mips-sony-newsos6
 	exit ;;
     R[34]000:*System_V*:*:* | R4000:UNIX_SYSV:*:* | R*000:UNIX_SV:*:*)
 	if [ -d /usr/nec ]; then
-	        echo mips-nec-sysv${UNAME_RELEASE}
+		echo mips-nec-sysv"$UNAME_RELEASE"
 	else
-	        echo mips-unknown-sysv${UNAME_RELEASE}
+		echo mips-unknown-sysv"$UNAME_RELEASE"
 	fi
-        exit ;;
+	exit ;;
     BeBox:BeOS:*:*)	# BeOS running on hardware made by Be, PPC only.
 	echo powerpc-be-beos
 	exit ;;
@@ -1216,53 +1250,100 @@ EOF
     BePC:BeOS:*:*)	# BeOS running on Intel PC compatible.
 	echo i586-pc-beos
 	exit ;;
+    BePC:Haiku:*:*)	# Haiku running on Intel PC compatible.
+	echo i586-pc-haiku
+	exit ;;
+    x86_64:Haiku:*:*)
+	echo x86_64-unknown-haiku
+	exit ;;
     SX-4:SUPER-UX:*:*)
-	echo sx4-nec-superux${UNAME_RELEASE}
+	echo sx4-nec-superux"$UNAME_RELEASE"
 	exit ;;
     SX-5:SUPER-UX:*:*)
-	echo sx5-nec-superux${UNAME_RELEASE}
+	echo sx5-nec-superux"$UNAME_RELEASE"
 	exit ;;
     SX-6:SUPER-UX:*:*)
-	echo sx6-nec-superux${UNAME_RELEASE}
+	echo sx6-nec-superux"$UNAME_RELEASE"
 	exit ;;
     SX-7:SUPER-UX:*:*)
-	echo sx7-nec-superux${UNAME_RELEASE}
+	echo sx7-nec-superux"$UNAME_RELEASE"
 	exit ;;
     SX-8:SUPER-UX:*:*)
-	echo sx8-nec-superux${UNAME_RELEASE}
+	echo sx8-nec-superux"$UNAME_RELEASE"
 	exit ;;
     SX-8R:SUPER-UX:*:*)
-	echo sx8r-nec-superux${UNAME_RELEASE}
+	echo sx8r-nec-superux"$UNAME_RELEASE"
+	exit ;;
+    SX-ACE:SUPER-UX:*:*)
+	echo sxace-nec-superux"$UNAME_RELEASE"
 	exit ;;
     Power*:Rhapsody:*:*)
-	echo powerpc-apple-rhapsody${UNAME_RELEASE}
+	echo powerpc-apple-rhapsody"$UNAME_RELEASE"
 	exit ;;
     *:Rhapsody:*:*)
-	echo ${UNAME_MACHINE}-apple-rhapsody${UNAME_RELEASE}
+	echo "$UNAME_MACHINE"-apple-rhapsody"$UNAME_RELEASE"
 	exit ;;
     *:Darwin:*:*)
 	UNAME_PROCESSOR=`uname -p` || UNAME_PROCESSOR=unknown
-	case $UNAME_PROCESSOR in
-	    unknown) UNAME_PROCESSOR=powerpc ;;
-	esac
-	echo ${UNAME_PROCESSOR}-apple-darwin${UNAME_RELEASE}
+	eval "$set_cc_for_build"
+	if test "$UNAME_PROCESSOR" = unknown ; then
+	    UNAME_PROCESSOR=powerpc
+	fi
+	if test "`echo "$UNAME_RELEASE" | sed -e 's/\..*//'`" -le 10 ; then
+	    if [ "$CC_FOR_BUILD" != no_compiler_found ]; then
+		if (echo '#ifdef __LP64__'; echo IS_64BIT_ARCH; echo '#endif') | \
+		       (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \
+		       grep IS_64BIT_ARCH >/dev/null
+		then
+		    case $UNAME_PROCESSOR in
+			i386) UNAME_PROCESSOR=x86_64 ;;
+			powerpc) UNAME_PROCESSOR=powerpc64 ;;
+		    esac
+		fi
+		# On 10.4-10.6 one might compile for PowerPC via gcc -arch ppc
+		if (echo '#ifdef __POWERPC__'; echo IS_PPC; echo '#endif') | \
+		       (CCOPTS="" $CC_FOR_BUILD -E - 2>/dev/null) | \
+		       grep IS_PPC >/dev/null
+		then
+		    UNAME_PROCESSOR=powerpc
+		fi
+	    fi
+	elif test "$UNAME_PROCESSOR" = i386 ; then
+	    # Avoid executing cc on OS X 10.9, as it ships with a stub
+	    # that puts up a graphical alert prompting to install
+	    # developer tools.  Any system running Mac OS X 10.7 or
+	    # later (Darwin 11 and later) is required to have a 64-bit
+	    # processor. This is not true of the ARM version of Darwin
+	    # that Apple uses in portable devices.
+	    UNAME_PROCESSOR=x86_64
+	fi
+	echo "$UNAME_PROCESSOR"-apple-darwin"$UNAME_RELEASE"
 	exit ;;
     *:procnto*:*:* | *:QNX:[0123456789]*:*)
 	UNAME_PROCESSOR=`uname -p`
-	if test "$UNAME_PROCESSOR" = "x86"; then
+	if test "$UNAME_PROCESSOR" = x86; then
 		UNAME_PROCESSOR=i386
 		UNAME_MACHINE=pc
 	fi
-	echo ${UNAME_PROCESSOR}-${UNAME_MACHINE}-nto-qnx${UNAME_RELEASE}
+	echo "$UNAME_PROCESSOR"-"$UNAME_MACHINE"-nto-qnx"$UNAME_RELEASE"
 	exit ;;
     *:QNX:*:4*)
 	echo i386-pc-qnx
 	exit ;;
-    NSE-?:NONSTOP_KERNEL:*:*)
-	echo nse-tandem-nsk${UNAME_RELEASE}
+    NEO-*:NONSTOP_KERNEL:*:*)
+	echo neo-tandem-nsk"$UNAME_RELEASE"
 	exit ;;
-    NSR-?:NONSTOP_KERNEL:*:*)
-	echo nsr-tandem-nsk${UNAME_RELEASE}
+    NSE-*:NONSTOP_KERNEL:*:*)
+	echo nse-tandem-nsk"$UNAME_RELEASE"
+	exit ;;
+    NSR-*:NONSTOP_KERNEL:*:*)
+	echo nsr-tandem-nsk"$UNAME_RELEASE"
+	exit ;;
+    NSV-*:NONSTOP_KERNEL:*:*)
+	echo nsv-tandem-nsk"$UNAME_RELEASE"
+	exit ;;
+    NSX-*:NONSTOP_KERNEL:*:*)
+	echo nsx-tandem-nsk"$UNAME_RELEASE"
 	exit ;;
     *:NonStop-UX:*:*)
 	echo mips-compaq-nonstopux
@@ -1271,18 +1352,18 @@ EOF
 	echo bs2000-siemens-sysv
 	exit ;;
     DS/*:UNIX_System_V:*:*)
-	echo ${UNAME_MACHINE}-${UNAME_SYSTEM}-${UNAME_RELEASE}
+	echo "$UNAME_MACHINE"-"$UNAME_SYSTEM"-"$UNAME_RELEASE"
 	exit ;;
     *:Plan9:*:*)
 	# "uname -m" is not consistent, so use $cputype instead. 386
 	# is converted to i386 for consistency with other x86
 	# operating systems.
-	if test "$cputype" = "386"; then
+	if test "$cputype" = 386; then
 	    UNAME_MACHINE=i386
 	else
 	    UNAME_MACHINE="$cputype"
 	fi
-	echo ${UNAME_MACHINE}-unknown-plan9
+	echo "$UNAME_MACHINE"-unknown-plan9
 	exit ;;
     *:TOPS-10:*:*)
 	echo pdp10-unknown-tops10
@@ -1303,14 +1384,14 @@ EOF
 	echo pdp10-unknown-its
 	exit ;;
     SEI:*:*:SEIUX)
-        echo mips-sei-seiux${UNAME_RELEASE}
+	echo mips-sei-seiux"$UNAME_RELEASE"
 	exit ;;
     *:DragonFly:*:*)
-	echo ${UNAME_MACHINE}-unknown-dragonfly`echo ${UNAME_RELEASE}|sed -e 's/[-(].*//'`
+	echo "$UNAME_MACHINE"-unknown-dragonfly"`echo "$UNAME_RELEASE"|sed -e 's/[-(].*//'`"
 	exit ;;
     *:*VMS:*:*)
-    	UNAME_MACHINE=`(uname -p) 2>/dev/null`
-	case "${UNAME_MACHINE}" in
+	UNAME_MACHINE=`(uname -p) 2>/dev/null`
+	case "$UNAME_MACHINE" in
 	    A*) echo alpha-dec-vms ; exit ;;
 	    I*) echo ia64-dec-vms ; exit ;;
 	    V*) echo vax-dec-vms ; exit ;;
@@ -1319,179 +1400,48 @@ EOF
 	echo i386-pc-xenix
 	exit ;;
     i*86:skyos:*:*)
-	echo ${UNAME_MACHINE}-pc-skyos`echo ${UNAME_RELEASE}` | sed -e 's/ .*$//'
+	echo "$UNAME_MACHINE"-pc-skyos"`echo "$UNAME_RELEASE" | sed -e 's/ .*$//'`"
 	exit ;;
     i*86:rdos:*:*)
-	echo ${UNAME_MACHINE}-pc-rdos
+	echo "$UNAME_MACHINE"-pc-rdos
+	exit ;;
+    i*86:AROS:*:*)
+	echo "$UNAME_MACHINE"-pc-aros
+	exit ;;
+    x86_64:VMkernel:*:*)
+	echo "$UNAME_MACHINE"-unknown-esx
+	exit ;;
+    amd64:Isilon\ OneFS:*:*)
+	echo x86_64-unknown-onefs
 	exit ;;
 esac
 
-#echo '(No uname command or uname output not recognized.)' 1>&2
-#echo "${UNAME_MACHINE}:${UNAME_SYSTEM}:${UNAME_RELEASE}:${UNAME_VERSION}" 1>&2
+echo "$0: unable to guess system type" >&2
 
-eval $set_cc_for_build
-cat >$dummy.c <<EOF
-#ifdef _SEQUENT_
-# include <sys/types.h>
-# include <sys/utsname.h>
-#endif
-main ()
-{
-#if defined (sony)
-#if defined (MIPSEB)
-  /* BFD wants "bsd" instead of "newsos".  Perhaps BFD should be changed,
-     I don't know....  */
-  printf ("mips-sony-bsd\n"); exit (0);
-#else
-#include <sys/param.h>
-  printf ("m68k-sony-newsos%s\n",
-#ifdef NEWSOS4
-          "4"
-#else
-	  ""
-#endif
-         ); exit (0);
-#endif
-#endif
-
-#if defined (__arm) && defined (__acorn) && defined (__unix)
-  printf ("arm-acorn-riscix\n"); exit (0);
-#endif
-
-#if defined (hp300) && !defined (hpux)
-  printf ("m68k-hp-bsd\n"); exit (0);
-#endif
-
-#if defined (NeXT)
-#if !defined (__ARCHITECTURE__)
-#define __ARCHITECTURE__ "m68k"
-#endif
-  int version;
-  version=`(hostinfo | sed -n 's/.*NeXT Mach \([0-9]*\).*/\1/p') 2>/dev/null`;
-  if (version < 4)
-    printf ("%s-next-nextstep%d\n", __ARCHITECTURE__, version);
-  else
-    printf ("%s-next-openstep%d\n", __ARCHITECTURE__, version);
-  exit (0);
-#endif
-
-#if defined (MULTIMAX) || defined (n16)
-#if defined (UMAXV)
-  printf ("ns32k-encore-sysv\n"); exit (0);
-#else
-#if defined (CMU)
-  printf ("ns32k-encore-mach\n"); exit (0);
-#else
-  printf ("ns32k-encore-bsd\n"); exit (0);
-#endif
-#endif
-#endif
-
-#if defined (__386BSD__)
-  printf ("i386-pc-bsd\n"); exit (0);
-#endif
-
-#if defined (sequent)
-#if defined (i386)
-  printf ("i386-sequent-dynix\n"); exit (0);
-#endif
-#if defined (ns32000)
-  printf ("ns32k-sequent-dynix\n"); exit (0);
-#endif
-#endif
-
-#if defined (_SEQUENT_)
-    struct utsname un;
-
-    uname(&un);
-
-    if (strncmp(un.version, "V2", 2) == 0) {
-	printf ("i386-sequent-ptx2\n"); exit (0);
-    }
-    if (strncmp(un.version, "V1", 2) == 0) { /* XXX is V1 correct? */
-	printf ("i386-sequent-ptx1\n"); exit (0);
-    }
-    printf ("i386-sequent-ptx\n"); exit (0);
+case "$UNAME_MACHINE:$UNAME_SYSTEM" in
+    mips:Linux | mips64:Linux)
+	# If we got here on MIPS GNU/Linux, output extra information.
+	cat >&2 <<EOF
 
-#endif
-
-#if defined (vax)
-# if !defined (ultrix)
-#  include <sys/param.h>
-#  if defined (BSD)
-#   if BSD == 43
-      printf ("vax-dec-bsd4.3\n"); exit (0);
-#   else
-#    if BSD == 199006
-      printf ("vax-dec-bsd4.3reno\n"); exit (0);
-#    else
-      printf ("vax-dec-bsd\n"); exit (0);
-#    endif
-#   endif
-#  else
-    printf ("vax-dec-bsd\n"); exit (0);
-#  endif
-# else
-    printf ("vax-dec-ultrix\n"); exit (0);
-# endif
-#endif
-
-#if defined (alliant) && defined (i860)
-  printf ("i860-alliant-bsd\n"); exit (0);
-#endif
-
-  exit (1);
-}
+NOTE: MIPS GNU/Linux systems require a C compiler to fully recognize
+the system type. Please install a C compiler and try again.
 EOF
-
-$CC_FOR_BUILD -o $dummy $dummy.c 2>/dev/null && SYSTEM_NAME=`$dummy` &&
-	{ echo "$SYSTEM_NAME"; exit; }
-
-# Apollos put the system type in the environment.
-
-test -d /usr/apollo && { echo ${ISP}-apollo-${SYSTYPE}; exit; }
-
-# Convex versions that predate uname can use getsysinfo(1)
-
-if [ -x /usr/convex/getsysinfo ]
-then
-    case `getsysinfo -f cpu_type` in
-    c1*)
-	echo c1-convex-bsd
-	exit ;;
-    c2*)
-	if getsysinfo -f scalar_acc
-	then echo c32-convex-bsd
-	else echo c2-convex-bsd
-	fi
-	exit ;;
-    c34*)
-	echo c34-convex-bsd
-	exit ;;
-    c38*)
-	echo c38-convex-bsd
-	exit ;;
-    c4*)
-	echo c4-convex-bsd
-	exit ;;
-    esac
-fi
+	;;
+esac
 
 cat >&2 <<EOF
-$0: unable to guess system type
 
-This script, last modified $timestamp, has failed to recognize
-the operating system you are using. It is advised that you
-download the most up to date version of the config scripts from
+This script (version $timestamp), has failed to recognize the
+operating system you are using. If your script is old, overwrite *all*
+copies of config.guess and config.sub with the latest versions from:
 
-  http://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.guess;hb=HEAD
+  https://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.guess
 and
-  http://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.sub;hb=HEAD
+  https://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.sub
 
-If the version you run ($0) is already up to date, please
-send the following data and any information you think might be
-pertinent to <config-patches@gnu.org> in order to provide the needed
-information to handle your system.
+If $0 has already been updated, send the following data and any
+information you think might be pertinent to config-patches@gnu.org to
+provide the necessary information to handle your system.
 
 config.guess timestamp = $timestamp
 
@@ -1510,16 +1460,16 @@ hostinfo               = `(hostinfo) 2>/dev/null`
 /usr/bin/oslevel       = `(/usr/bin/oslevel) 2>/dev/null`
 /usr/convex/getsysinfo = `(/usr/convex/getsysinfo) 2>/dev/null`
 
-UNAME_MACHINE = ${UNAME_MACHINE}
-UNAME_RELEASE = ${UNAME_RELEASE}
-UNAME_SYSTEM  = ${UNAME_SYSTEM}
-UNAME_VERSION = ${UNAME_VERSION}
+UNAME_MACHINE = "$UNAME_MACHINE"
+UNAME_RELEASE = "$UNAME_RELEASE"
+UNAME_SYSTEM  = "$UNAME_SYSTEM"
+UNAME_VERSION = "$UNAME_VERSION"
 EOF
 
 exit 1
 
 # Local variables:
-# eval: (add-hook 'write-file-hooks 'time-stamp)
+# eval: (add-hook 'before-save-hook 'time-stamp)
 # time-stamp-start: "timestamp='"
 # time-stamp-format: "%:y-%02m-%02d"
 # time-stamp-end: "'"
diff --git a/Build/source/utils/asymptote/config.sub b/Build/source/utils/asymptote/config.sub
index 59bb593f109..9ccf09a7a33 100644..100755
--- a/Build/source/utils/asymptote/config.sub
+++ b/Build/source/utils/asymptote/config.sub
@@ -1,36 +1,31 @@
 #! /bin/sh
 # Configuration validation subroutine script.
-#   Copyright (C) 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999,
-#   2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010,
-#   2011, 2012 Free Software Foundation, Inc.
+#   Copyright 1992-2018 Free Software Foundation, Inc.
 
-timestamp='2012-04-18'
+timestamp='2018-03-08'
 
-# This file is (in principle) common to ALL GNU software.
-# The presence of a machine in this file suggests that SOME GNU software
-# can handle that machine.  It does not imply ALL GNU software can.
-#
-# This file is free software; you can redistribute it and/or modify
-# it under the terms of the GNU General Public License as published by
-# the Free Software Foundation; either version 2 of the License, or
+# This file is free software; you can redistribute it and/or modify it
+# under the terms of the GNU General Public License as published by
+# the Free Software Foundation; either version 3 of the License, or
 # (at your option) any later version.
 #
-# This program is distributed in the hope that it will be useful,
-# but WITHOUT ANY WARRANTY; without even the implied warranty of
-# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-# GNU General Public License for more details.
+# This program is distributed in the hope that it will be useful, but
+# WITHOUT ANY WARRANTY; without even the implied warranty of
+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+# General Public License for more details.
 #
 # You should have received a copy of the GNU General Public License
-# along with this program; if not, see <http://www.gnu.org/licenses/>.
+# along with this program; if not, see <https://www.gnu.org/licenses/>.
 #
 # As a special exception to the GNU General Public License, if you
 # distribute this file as part of a program that contains a
 # configuration script generated by Autoconf, you may include it under
-# the same distribution terms that you use for the rest of that program.
+# the same distribution terms that you use for the rest of that
+# program.  This Exception is an additional permission under section 7
+# of the GNU General Public License, version 3 ("GPLv3").
 
 
-# Please send patches to <config-patches@gnu.org>.  Submit a context
-# diff and a properly formatted GNU ChangeLog entry.
+# Please send patches to <config-patches@gnu.org>.
 #
 # Configuration subroutine to validate and canonicalize a configuration type.
 # Supply the specified configuration type as an argument.
@@ -38,7 +33,7 @@ timestamp='2012-04-18'
 # Otherwise, we print the canonical config type on stdout and succeed.
 
 # You can get the latest version of this script from:
-# http://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.sub;hb=HEAD
+# https://git.savannah.gnu.org/gitweb/?p=config.git;a=blob_plain;f=config.sub
 
 # This file is supposed to be the same for all GNU packages
 # and recognize all the CPU types, system types and aliases
@@ -58,12 +53,11 @@ timestamp='2012-04-18'
 me=`echo "$0" | sed -e 's,.*/,,'`
 
 usage="\
-Usage: $0 [OPTION] CPU-MFR-OPSYS
-       $0 [OPTION] ALIAS
+Usage: $0 [OPTION] CPU-MFR-OPSYS or ALIAS
 
 Canonicalize a configuration name.
 
-Operation modes:
+Options:
   -h, --help         print this help, then exit
   -t, --time-stamp   print date of last modification, then exit
   -v, --version      print version number, then exit
@@ -73,9 +67,7 @@ Report bugs and patches to <config-patches@gnu.org>."
 version="\
 GNU config.sub ($timestamp)
 
-Copyright (C) 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000,
-2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012
-Free Software Foundation, Inc.
+Copyright 1992-2018 Free Software Foundation, Inc.
 
 This is free software; see the source for copying conditions.  There is NO
 warranty; not even for MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE."
@@ -102,7 +94,7 @@ while test $# -gt 0 ; do
 
     *local*)
        # First pass through any local machine types.
-       echo $1
+       echo "$1"
        exit ;;
 
     * )
@@ -120,24 +112,24 @@ esac
 
 # Separate what the user gave into CPU-COMPANY and OS or KERNEL-OS (if any).
 # Here we must recognize all the valid KERNEL-OS combinations.
-maybe_os=`echo $1 | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\2/'`
+maybe_os=`echo "$1" | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\2/'`
 case $maybe_os in
   nto-qnx* | linux-gnu* | linux-android* | linux-dietlibc | linux-newlib* | \
-  linux-uclibc* | uclinux-uclibc* | uclinux-gnu* | kfreebsd*-gnu* | \
-  knetbsd*-gnu* | netbsd*-gnu* | \
-  kopensolaris*-gnu* | \
+  linux-musl* | linux-uclibc* | uclinux-uclibc* | uclinux-gnu* | kfreebsd*-gnu* | \
+  knetbsd*-gnu* | netbsd*-gnu* | netbsd*-eabi* | \
+  kopensolaris*-gnu* | cloudabi*-eabi* | \
   storm-chaos* | os2-emx* | rtmk-nova*)
     os=-$maybe_os
-    basic_machine=`echo $1 | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\1/'`
+    basic_machine=`echo "$1" | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\1/'`
     ;;
   android-linux)
     os=-linux-android
-    basic_machine=`echo $1 | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\1/'`-unknown
+    basic_machine=`echo "$1" | sed 's/^\(.*\)-\([^-]*-[^-]*\)$/\1/'`-unknown
     ;;
   *)
-    basic_machine=`echo $1 | sed 's/-[^-]*$//'`
-    if [ $basic_machine != $1 ]
-    then os=`echo $1 | sed 's/.*-/-/'`
+    basic_machine=`echo "$1" | sed 's/-[^-]*$//'`
+    if [ "$basic_machine" != "$1" ]
+    then os=`echo "$1" | sed 's/.*-/-/'`
     else os=; fi
     ;;
 esac
@@ -156,7 +148,7 @@ case $os in
 	-convergent* | -ncr* | -news | -32* | -3600* | -3100* | -hitachi* |\
 	-c[123]* | -convex* | -sun | -crds | -omron* | -dg | -ultra | -tti* | \
 	-harris | -dolphin | -highlevel | -gould | -cbm | -ns | -masscomp | \
-	-apple | -axis | -knuth | -cray | -microblaze)
+	-apple | -axis | -knuth | -cray | -microblaze*)
 		os=
 		basic_machine=$1
 		;;
@@ -186,44 +178,44 @@ case $os in
 		;;
 	-sco6)
 		os=-sco5v6
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-sco5)
 		os=-sco3.2v5
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-sco4)
 		os=-sco3.2v4
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-sco3.2.[4-9]*)
 		os=`echo $os | sed -e 's/sco3.2./sco3.2v/'`
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-sco3.2v[4-9]*)
 		# Don't forget version if it is 3.2v4 or newer.
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-sco5v6*)
 		# Don't forget version if it is 3.2v4 or newer.
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-sco*)
 		os=-sco3.2v2
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-udk*)
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-isc)
 		os=-isc2.2
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-clix*)
 		basic_machine=clipper-intergraph
 		;;
 	-isc*)
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-pc/'`
 		;;
 	-lynx*178)
 		os=-lynxos178
@@ -235,10 +227,7 @@ case $os in
 		os=-lynxos
 		;;
 	-ptx*)
-		basic_machine=`echo $1 | sed -e 's/86-.*/86-sequent/'`
-		;;
-	-windowsnt*)
-		os=`echo $os | sed -e 's/windowsnt/winnt/'`
+		basic_machine=`echo "$1" | sed -e 's/86-.*/86-sequent/'`
 		;;
 	-psos*)
 		os=-psos
@@ -259,21 +248,25 @@ case $basic_machine in
 	| alpha | alphaev[4-8] | alphaev56 | alphaev6[78] | alphapca5[67] \
 	| alpha64 | alpha64ev[4-8] | alpha64ev56 | alpha64ev6[78] | alpha64pca5[67] \
 	| am33_2.0 \
-	| arc | arm | arm[bl]e | arme[lb] | armv[2345] | armv[345][lb] | avr | avr32 \
-        | be32 | be64 \
+	| arc | arceb \
+	| arm | arm[bl]e | arme[lb] | armv[2-8] | armv[3-8][lb] | armv7[arm] \
+	| avr | avr32 \
+	| ba \
+	| be32 | be64 \
 	| bfin \
-	| c4x | clipper \
+	| c4x | c8051 | clipper \
 	| d10v | d30v | dlx | dsp16xx \
-	| epiphany \
-	| fido | fr30 | frv \
+	| e2k | epiphany \
+	| fido | fr30 | frv | ft32 \
 	| h8300 | h8500 | hppa | hppa1.[01] | hppa2.0 | hppa2.0[nw] | hppa64 \
 	| hexagon \
-	| i370 | i860 | i960 | ia64 \
+	| i370 | i860 | i960 | ia16 | ia64 \
 	| ip2k | iq2000 \
+	| k1om \
 	| le32 | le64 \
 	| lm32 \
 	| m32c | m32r | m32rle | m68000 | m68k | m88k \
-	| maxq | mb | microblaze | mcore | mep | metag \
+	| maxq | mb | microblaze | microblazeel | mcore | mep | metag \
 	| mips | mipsbe | mipseb | mipsel | mipsle \
 	| mips16 \
 	| mips64 | mips64el \
@@ -287,26 +280,30 @@ case $basic_machine in
 	| mips64vr5900 | mips64vr5900el \
 	| mipsisa32 | mipsisa32el \
 	| mipsisa32r2 | mipsisa32r2el \
+	| mipsisa32r6 | mipsisa32r6el \
 	| mipsisa64 | mipsisa64el \
 	| mipsisa64r2 | mipsisa64r2el \
+	| mipsisa64r6 | mipsisa64r6el \
 	| mipsisa64sb1 | mipsisa64sb1el \
 	| mipsisa64sr71k | mipsisa64sr71kel \
+	| mipsr5900 | mipsr5900el \
 	| mipstx39 | mipstx39el \
 	| mn10200 | mn10300 \
 	| moxie \
 	| mt \
 	| msp430 \
 	| nds32 | nds32le | nds32be \
-	| nios | nios2 \
+	| nios | nios2 | nios2eb | nios2el \
 	| ns16k | ns32k \
-	| open8 \
-	| or32 \
-	| pdp10 | pdp11 | pj | pjl \
+	| open8 | or1k | or1knd | or32 \
+	| pdp10 | pj | pjl \
 	| powerpc | powerpc64 | powerpc64le | powerpcle \
+	| pru \
 	| pyramid \
+	| riscv32 | riscv64 \
 	| rl78 | rx \
 	| score \
-	| sh | sh[1234] | sh[24]a | sh[24]aeb | sh[23]e | sh[34]eb | sheb | shbe | shle | sh[1234]le | sh3ele \
+	| sh | sh[1234] | sh[24]a | sh[24]aeb | sh[23]e | sh[234]eb | sheb | shbe | shle | sh[1234]le | sh3ele \
 	| sh64 | sh64le \
 	| sparc | sparc64 | sparc64b | sparc64v | sparc86x | sparclet | sparclite \
 	| sparcv8 | sparcv9 | sparcv9b | sparcv9v \
@@ -314,7 +311,8 @@ case $basic_machine in
 	| tahoe | tic4x | tic54x | tic55x | tic6x | tic80 | tron \
 	| ubicom32 \
 	| v850 | v850e | v850e1 | v850e2 | v850es | v850e2v3 \
-	| we32k \
+	| visium \
+	| wasm32 \
 	| x86 | xc16x | xstormy16 | xtensa \
 	| z8k | z80)
 		basic_machine=$basic_machine-unknown
@@ -328,11 +326,14 @@ case $basic_machine in
 	c6x)
 		basic_machine=tic6x-unknown
 		;;
-	m6811 | m68hc11 | m6812 | m68hc12 | m68hcs12x | picochip)
+	leon|leon[3-9])
+		basic_machine=sparc-$basic_machine
+		;;
+	m6811 | m68hc11 | m6812 | m68hc12 | m68hcs12x | nvptx | picochip)
 		basic_machine=$basic_machine-unknown
 		os=-none
 		;;
-	m88110 | m680[12346]0 | m683?2 | m68360 | m5200 | v70 | w65 | z8k)
+	m88110 | m680[12346]0 | m683?2 | m68360 | m5200 | v70 | w65)
 		;;
 	ms1)
 		basic_machine=mt-unknown
@@ -361,7 +362,7 @@ case $basic_machine in
 	  ;;
 	# Object if more than one company name word.
 	*-*-*)
-		echo Invalid configuration \`$1\': machine \`$basic_machine\' not recognized 1>&2
+		echo Invalid configuration \`"$1"\': machine \`"$basic_machine"\' not recognized 1>&2
 		exit 1
 		;;
 	# Recognize the basic CPU types with company name.
@@ -370,26 +371,29 @@ case $basic_machine in
 	| aarch64-* | aarch64_be-* \
 	| alpha-* | alphaev[4-8]-* | alphaev56-* | alphaev6[78]-* \
 	| alpha64-* | alpha64ev[4-8]-* | alpha64ev56-* | alpha64ev6[78]-* \
-	| alphapca5[67]-* | alpha64pca5[67]-* | arc-* \
+	| alphapca5[67]-* | alpha64pca5[67]-* | arc-* | arceb-* \
 	| arm-*  | armbe-* | armle-* | armeb-* | armv*-* \
 	| avr-* | avr32-* \
+	| ba-* \
 	| be32-* | be64-* \
 	| bfin-* | bs2000-* \
 	| c[123]* | c30-* | [cjt]90-* | c4x-* \
-	| clipper-* | craynv-* | cydra-* \
+	| c8051-* | clipper-* | craynv-* | cydra-* \
 	| d10v-* | d30v-* | dlx-* \
-	| elxsi-* \
+	| e2k-* | elxsi-* \
 	| f30[01]-* | f700-* | fido-* | fr30-* | frv-* | fx80-* \
 	| h8300-* | h8500-* \
 	| hppa-* | hppa1.[01]-* | hppa2.0-* | hppa2.0[nw]-* | hppa64-* \
 	| hexagon-* \
-	| i*86-* | i860-* | i960-* | ia64-* \
+	| i*86-* | i860-* | i960-* | ia16-* | ia64-* \
 	| ip2k-* | iq2000-* \
+	| k1om-* \
 	| le32-* | le64-* \
 	| lm32-* \
 	| m32c-* | m32r-* | m32rle-* \
 	| m68000-* | m680[012346]0-* | m68360-* | m683?2-* | m68k-* \
-	| m88110-* | m88k-* | maxq-* | mcore-* | metag-* | microblaze-* \
+	| m88110-* | m88k-* | maxq-* | mcore-* | metag-* \
+	| microblaze-* | microblazeel-* \
 	| mips-* | mipsbe-* | mipseb-* | mipsel-* | mipsle-* \
 	| mips16-* \
 	| mips64-* | mips64el-* \
@@ -403,28 +407,34 @@ case $basic_machine in
 	| mips64vr5900-* | mips64vr5900el-* \
 	| mipsisa32-* | mipsisa32el-* \
 	| mipsisa32r2-* | mipsisa32r2el-* \
+	| mipsisa32r6-* | mipsisa32r6el-* \
 	| mipsisa64-* | mipsisa64el-* \
 	| mipsisa64r2-* | mipsisa64r2el-* \
+	| mipsisa64r6-* | mipsisa64r6el-* \
 	| mipsisa64sb1-* | mipsisa64sb1el-* \
 	| mipsisa64sr71k-* | mipsisa64sr71kel-* \
+	| mipsr5900-* | mipsr5900el-* \
 	| mipstx39-* | mipstx39el-* \
 	| mmix-* \
 	| mt-* \
 	| msp430-* \
 	| nds32-* | nds32le-* | nds32be-* \
-	| nios-* | nios2-* \
+	| nios-* | nios2-* | nios2eb-* | nios2el-* \
 	| none-* | np1-* | ns16k-* | ns32k-* \
 	| open8-* \
+	| or1k*-* \
 	| orion-* \
 	| pdp10-* | pdp11-* | pj-* | pjl-* | pn-* | power-* \
 	| powerpc-* | powerpc64-* | powerpc64le-* | powerpcle-* \
+	| pru-* \
 	| pyramid-* \
+	| riscv32-* | riscv64-* \
 	| rl78-* | romp-* | rs6000-* | rx-* \
 	| sh-* | sh[1234]-* | sh[24]a-* | sh[24]aeb-* | sh[23]e-* | sh[34]eb-* | sheb-* | shbe-* \
 	| shle-* | sh[1234]le-* | sh3ele-* | sh64-* | sh64le-* \
 	| sparc-* | sparc64-* | sparc64b-* | sparc64v-* | sparc86x-* | sparclet-* \
 	| sparclite-* \
-	| sparcv8-* | sparcv9-* | sparcv9b-* | sparcv9v-* | sv1-* | sx?-* \
+	| sparcv8-* | sparcv9-* | sparcv9b-* | sparcv9v-* | sv1-* | sx*-* \
 	| tahoe-* \
 	| tic30-* | tic4x-* | tic54x-* | tic55x-* | tic6x-* | tic80-* \
 	| tile*-* \
@@ -432,6 +442,8 @@ case $basic_machine in
 	| ubicom32-* \
 	| v850-* | v850e-* | v850e1-* | v850es-* | v850e2-* | v850e2v3-* \
 	| vax-* \
+	| visium-* \
+	| wasm32-* \
 	| we32k-* \
 	| x86-* | x86_64-* | xc16x-* | xps100-* \
 	| xstormy16-* | xtensa*-* \
@@ -445,7 +457,7 @@ case $basic_machine in
 	# Recognize the various machine names and aliases which stand
 	# for a CPU type and a company and sometimes even an OS.
 	386bsd)
-		basic_machine=i386-unknown
+		basic_machine=i386-pc
 		os=-bsd
 		;;
 	3b1 | 7300 | 7300-att | att-7300 | pc7300 | safari | unixpc)
@@ -479,7 +491,7 @@ case $basic_machine in
 		basic_machine=x86_64-pc
 		;;
 	amd64-*)
-		basic_machine=x86_64-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=x86_64-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	amdahl)
 		basic_machine=580-amdahl
@@ -508,6 +520,9 @@ case $basic_machine in
 		basic_machine=i386-pc
 		os=-aros
 		;;
+	asmjs)
+		basic_machine=asmjs-unknown
+		;;
 	aux)
 		basic_machine=m68k-apple
 		os=-aux
@@ -521,7 +536,7 @@ case $basic_machine in
 		os=-linux
 		;;
 	blackfin-*)
-		basic_machine=bfin-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=bfin-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		os=-linux
 		;;
 	bluegene*)
@@ -529,13 +544,13 @@ case $basic_machine in
 		os=-cnk
 		;;
 	c54x-*)
-		basic_machine=tic54x-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=tic54x-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	c55x-*)
-		basic_machine=tic55x-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=tic55x-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	c6x-*)
-		basic_machine=tic6x-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=tic6x-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	c90)
 		basic_machine=c90-cray
@@ -624,10 +639,18 @@ case $basic_machine in
 		basic_machine=rs6000-bull
 		os=-bosx
 		;;
-	dpx2* | dpx2*-bull)
+	dpx2*)
 		basic_machine=m68k-bull
 		os=-sysv3
 		;;
+	e500v[12])
+		basic_machine=powerpc-unknown
+		os=$os"spe"
+		;;
+	e500v[12]-*)
+		basic_machine=powerpc-`echo "$basic_machine" | sed 's/^[^-]*-//'`
+		os=$os"spe"
+		;;
 	ebmon29k)
 		basic_machine=a29k-amd
 		os=-ebmon
@@ -717,9 +740,6 @@ case $basic_machine in
 	hp9k8[0-9][0-9] | hp8[0-9][0-9])
 		basic_machine=hppa1.0-hp
 		;;
-	hppa-next)
-		os=-nextstep3
-		;;
 	hppaosf)
 		basic_machine=hppa1.1-hp
 		os=-osf
@@ -732,26 +752,26 @@ case $basic_machine in
 		basic_machine=i370-ibm
 		;;
 	i*86v32)
-		basic_machine=`echo $1 | sed -e 's/86.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86.*/86-pc/'`
 		os=-sysv32
 		;;
 	i*86v4*)
-		basic_machine=`echo $1 | sed -e 's/86.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86.*/86-pc/'`
 		os=-sysv4
 		;;
 	i*86v)
-		basic_machine=`echo $1 | sed -e 's/86.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86.*/86-pc/'`
 		os=-sysv
 		;;
 	i*86sol2)
-		basic_machine=`echo $1 | sed -e 's/86.*/86-pc/'`
+		basic_machine=`echo "$1" | sed -e 's/86.*/86-pc/'`
 		os=-solaris2
 		;;
 	i386mach)
 		basic_machine=i386-mach
 		os=-mach
 		;;
-	i386-vsta | vsta)
+	vsta)
 		basic_machine=i386-unknown
 		os=-vsta
 		;;
@@ -769,17 +789,17 @@ case $basic_machine in
 		basic_machine=m68k-isi
 		os=-sysv
 		;;
+	leon-*|leon[3-9]-*)
+		basic_machine=sparc-`echo "$basic_machine" | sed 's/-.*//'`
+		;;
 	m68knommu)
 		basic_machine=m68k-unknown
 		os=-linux
 		;;
 	m68knommu-*)
-		basic_machine=m68k-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=m68k-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		os=-linux
 		;;
-	m88k-omron*)
-		basic_machine=m88k-omron
-		;;
 	magnum | m3230)
 		basic_machine=mips-mips
 		os=-sysv
@@ -788,11 +808,15 @@ case $basic_machine in
 		basic_machine=ns32k-utek
 		os=-sysv
 		;;
-	microblaze)
+	microblaze*)
 		basic_machine=microblaze-xilinx
 		;;
+	mingw64)
+		basic_machine=x86_64-pc
+		os=-mingw64
+		;;
 	mingw32)
-		basic_machine=i386-pc
+		basic_machine=i686-pc
 		os=-mingw32
 		;;
 	mingw32ce)
@@ -807,10 +831,10 @@ case $basic_machine in
 		os=-mint
 		;;
 	mips3*-*)
-		basic_machine=`echo $basic_machine | sed -e 's/mips3/mips64/'`
+		basic_machine=`echo "$basic_machine" | sed -e 's/mips3/mips64/'`
 		;;
 	mips3*)
-		basic_machine=`echo $basic_machine | sed -e 's/mips3/mips64/'`-unknown
+		basic_machine=`echo "$basic_machine" | sed -e 's/mips3/mips64/'`-unknown
 		;;
 	monitor)
 		basic_machine=m68k-rom68k
@@ -820,15 +844,19 @@ case $basic_machine in
 		basic_machine=powerpc-unknown
 		os=-morphos
 		;;
+	moxiebox)
+		basic_machine=moxie-unknown
+		os=-moxiebox
+		;;
 	msdos)
 		basic_machine=i386-pc
 		os=-msdos
 		;;
 	ms1-*)
-		basic_machine=`echo $basic_machine | sed -e 's/ms1-/mt-/'`
+		basic_machine=`echo "$basic_machine" | sed -e 's/ms1-/mt-/'`
 		;;
 	msys)
-		basic_machine=i386-pc
+		basic_machine=i686-pc
 		os=-msys
 		;;
 	mvs)
@@ -867,7 +895,7 @@ case $basic_machine in
 		basic_machine=v70-nec
 		os=-sysv
 		;;
-	next | m*-next )
+	next | m*-next)
 		basic_machine=m68k-next
 		case $os in
 		    -nextstep* )
@@ -912,6 +940,12 @@ case $basic_machine in
 	nsr-tandem)
 		basic_machine=nsr-tandem
 		;;
+	nsv-tandem)
+		basic_machine=nsv-tandem
+		;;
+	nsx-tandem)
+		basic_machine=nsx-tandem
+		;;
 	op50n-* | op60c-*)
 		basic_machine=hppa1.1-oki
 		os=-proelf
@@ -944,7 +978,7 @@ case $basic_machine in
 		os=-linux
 		;;
 	parisc-*)
-		basic_machine=hppa-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=hppa-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		os=-linux
 		;;
 	pbd)
@@ -960,7 +994,7 @@ case $basic_machine in
 		basic_machine=i386-pc
 		;;
 	pc98-*)
-		basic_machine=i386-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=i386-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	pentium | p5 | k5 | k6 | nexgen | viac3)
 		basic_machine=i586-pc
@@ -975,16 +1009,16 @@ case $basic_machine in
 		basic_machine=i786-pc
 		;;
 	pentium-* | p5-* | k5-* | k6-* | nexgen-* | viac3-*)
-		basic_machine=i586-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=i586-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	pentiumpro-* | p6-* | 6x86-* | athlon-*)
-		basic_machine=i686-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=i686-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	pentiumii-* | pentium2-* | pentiumiii-* | pentium3-*)
-		basic_machine=i686-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=i686-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	pentium4-*)
-		basic_machine=i786-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=i786-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	pn)
 		basic_machine=pn-gould
@@ -994,23 +1028,23 @@ case $basic_machine in
 	ppc | ppcbe)	basic_machine=powerpc-unknown
 		;;
 	ppc-* | ppcbe-*)
-		basic_machine=powerpc-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=powerpc-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
-	ppcle | powerpclittle | ppc-le | powerpc-little)
+	ppcle | powerpclittle)
 		basic_machine=powerpcle-unknown
 		;;
 	ppcle-* | powerpclittle-*)
-		basic_machine=powerpcle-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=powerpcle-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	ppc64)	basic_machine=powerpc64-unknown
 		;;
-	ppc64-*) basic_machine=powerpc64-`echo $basic_machine | sed 's/^[^-]*-//'`
+	ppc64-*) basic_machine=powerpc64-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
-	ppc64le | powerpc64little | ppc64-le | powerpc64-little)
+	ppc64le | powerpc64little)
 		basic_machine=powerpc64le-unknown
 		;;
 	ppc64le-* | powerpc64little-*)
-		basic_machine=powerpc64le-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=powerpc64le-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	ps2)
 		basic_machine=i386-ibm
@@ -1019,7 +1053,11 @@ case $basic_machine in
 		basic_machine=i586-unknown
 		os=-pw32
 		;;
-	rdos)
+	rdos | rdos64)
+		basic_machine=x86_64-pc
+		os=-rdos
+		;;
+	rdos32)
 		basic_machine=i386-pc
 		os=-rdos
 		;;
@@ -1060,17 +1098,10 @@ case $basic_machine in
 	sequent)
 		basic_machine=i386-sequent
 		;;
-	sh)
-		basic_machine=sh-hitachi
-		os=-hms
-		;;
 	sh5el)
 		basic_machine=sh5le-unknown
 		;;
-	sh64)
-		basic_machine=sh64-unknown
-		;;
-	sparclite-wrs | simso-wrs)
+	simso-wrs)
 		basic_machine=sparclite-wrs
 		os=-vxworks
 		;;
@@ -1089,7 +1120,7 @@ case $basic_machine in
 		os=-sysv4
 		;;
 	strongarm-* | thumb-*)
-		basic_machine=arm-`echo $basic_machine | sed 's/^[^-]*-//'`
+		basic_machine=arm-`echo "$basic_machine" | sed 's/^[^-]*-//'`
 		;;
 	sun2)
 		basic_machine=m68000-sun
@@ -1211,6 +1242,9 @@ case $basic_machine in
 		basic_machine=hppa1.1-winbond
 		os=-proelf
 		;;
+	x64)
+		basic_machine=x86_64-pc
+		;;
 	xbox)
 		basic_machine=i686-pc
 		os=-mingw32
@@ -1219,20 +1253,12 @@ case $basic_machine in
 		basic_machine=xps100-honeywell
 		;;
 	xscale-* | xscalee[bl]-*)
-		basic_machine=`echo $basic_machine | sed 's/^xscale/arm/'`
+		basic_machine=`echo "$basic_machine" | sed 's/^xscale/arm/'`
 		;;
 	ymp)
 		basic_machine=ymp-cray
 		os=-unicos
 		;;
-	z8k-*-coff)
-		basic_machine=z8k-unknown
-		os=-sim
-		;;
-	z80-*-coff)
-		basic_machine=z80-unknown
-		os=-sim
-		;;
 	none)
 		basic_machine=none-none
 		os=-none
@@ -1261,10 +1287,6 @@ case $basic_machine in
 	vax)
 		basic_machine=vax-dec
 		;;
-	pdp10)
-		# there are many clones, so DEC is not a safe bet
-		basic_machine=pdp10-unknown
-		;;
 	pdp11)
 		basic_machine=pdp11-dec
 		;;
@@ -1274,9 +1296,6 @@ case $basic_machine in
 	sh[1234] | sh[24]a | sh[24]aeb | sh[34]eb | sh[1234]le | sh[23]ele)
 		basic_machine=sh-unknown
 		;;
-	sparc | sparcv8 | sparcv9 | sparcv9b | sparcv9v)
-		basic_machine=sparc-sun
-		;;
 	cydra)
 		basic_machine=cydra-cydrome
 		;;
@@ -1296,7 +1315,7 @@ case $basic_machine in
 		# Make sure to match an already-canonicalized machine name.
 		;;
 	*)
-		echo Invalid configuration \`$1\': machine \`$basic_machine\' not recognized 1>&2
+		echo Invalid configuration \`"$1"\': machine \`"$basic_machine"\' not recognized 1>&2
 		exit 1
 		;;
 esac
@@ -1304,10 +1323,10 @@ esac
 # Here we canonicalize certain aliases for manufacturers.
 case $basic_machine in
 	*-digital*)
-		basic_machine=`echo $basic_machine | sed 's/digital.*/dec/'`
+		basic_machine=`echo "$basic_machine" | sed 's/digital.*/dec/'`
 		;;
 	*-commodore*)
-		basic_machine=`echo $basic_machine | sed 's/commodore.*/cbm/'`
+		basic_machine=`echo "$basic_machine" | sed 's/commodore.*/cbm/'`
 		;;
 	*)
 		;;
@@ -1318,8 +1337,8 @@ esac
 if [ x"$os" != x"" ]
 then
 case $os in
-	# First match some system type aliases
-	# that might get confused with valid system types.
+	# First match some system type aliases that might get confused
+	# with valid system types.
 	# -solaris* is a basic system type, with this one exception.
 	-auroraux)
 		os=-auroraux
@@ -1330,45 +1349,48 @@ case $os in
 	-solaris)
 		os=-solaris2
 		;;
-	-svr4*)
-		os=-sysv4
-		;;
 	-unixware*)
 		os=-sysv4.2uw
 		;;
 	-gnu/linux*)
 		os=`echo $os | sed -e 's|gnu/linux|linux-gnu|'`
 		;;
-	# First accept the basic system types.
+	# es1800 is here to avoid being matched by es* (a different OS)
+	-es1800*)
+		os=-ose
+		;;
+	# Now accept the basic system types.
 	# The portable systems comes first.
-	# Each alternative MUST END IN A *, to match a version number.
+	# Each alternative MUST end in a * to match a version number.
 	# -sysv* is not here because it comes later, after sysvr4.
 	-gnu* | -bsd* | -mach* | -minix* | -genix* | -ultrix* | -irix* \
 	      | -*vms* | -sco* | -esix* | -isc* | -aix* | -cnk* | -sunos | -sunos[34]*\
 	      | -hpux* | -unos* | -osf* | -luna* | -dgux* | -auroraux* | -solaris* \
-	      | -sym* | -kopensolaris* \
+	      | -sym* | -kopensolaris* | -plan9* \
 	      | -amigaos* | -amigados* | -msdos* | -newsos* | -unicos* | -aof* \
-	      | -aos* | -aros* \
+	      | -aos* | -aros* | -cloudabi* | -sortix* \
 	      | -nindy* | -vxsim* | -vxworks* | -ebmon* | -hms* | -mvs* \
 	      | -clix* | -riscos* | -uniplus* | -iris* | -rtu* | -xenix* \
-	      | -hiux* | -386bsd* | -knetbsd* | -mirbsd* | -netbsd* \
-	      | -openbsd* | -solidbsd* \
+	      | -hiux* | -knetbsd* | -mirbsd* | -netbsd* \
+	      | -bitrig* | -openbsd* | -solidbsd* | -libertybsd* \
 	      | -ekkobsd* | -kfreebsd* | -freebsd* | -riscix* | -lynxos* \
 	      | -bosx* | -nextstep* | -cxux* | -aout* | -elf* | -oabi* \
 	      | -ptx* | -coff* | -ecoff* | -winnt* | -domain* | -vsta* \
-	      | -udi* | -eabi* | -lites* | -ieee* | -go32* | -aux* \
-	      | -chorusos* | -chorusrdb* | -cegcc* \
+	      | -udi* | -eabi* | -lites* | -ieee* | -go32* | -aux* | -hcos* \
+	      | -chorusos* | -chorusrdb* | -cegcc* | -glidix* \
 	      | -cygwin* | -msys* | -pe* | -psos* | -moss* | -proelf* | -rtems* \
-	      | -mingw32* | -linux-gnu* | -linux-android* \
-	      | -linux-newlib* | -linux-uclibc* \
-	      | -uxpv* | -beos* | -mpeix* | -udk* \
-	      | -interix* | -uwin* | -mks* | -rhapsody* | -darwin* | -opened* \
+	      | -midipix* | -mingw32* | -mingw64* | -linux-gnu* | -linux-android* \
+	      | -linux-newlib* | -linux-musl* | -linux-uclibc* \
+	      | -uxpv* | -beos* | -mpeix* | -udk* | -moxiebox* \
+	      | -interix* | -uwin* | -mks* | -rhapsody* | -darwin* \
 	      | -openstep* | -oskit* | -conix* | -pw32* | -nonstopux* \
 	      | -storm-chaos* | -tops10* | -tenex* | -tops20* | -its* \
 	      | -os2* | -vos* | -palmos* | -uclinux* | -nucleus* \
-	      | -morphos* | -superux* | -rtmk* | -rtmk-nova* | -windiss* \
+	      | -morphos* | -superux* | -rtmk* | -windiss* \
 	      | -powermax* | -dnix* | -nx6 | -nx7 | -sei* | -dragonfly* \
-	      | -skyos* | -haiku* | -rdos* | -toppers* | -drops* | -es*)
+	      | -skyos* | -haiku* | -rdos* | -toppers* | -drops* | -es* \
+	      | -onefs* | -tirtos* | -phoenix* | -fuchsia* | -redox* | -bme* \
+	      | -midnightbsd*)
 	# Remember, each alternative MUST END IN *, to match a version number.
 		;;
 	-qnx*)
@@ -1385,12 +1407,12 @@ case $os in
 	-nto*)
 		os=`echo $os | sed -e 's|nto|nto-qnx|'`
 		;;
-	-sim | -es1800* | -hms* | -xray | -os68k* | -none* | -v88r* \
-	      | -windows* | -osx | -abug | -netware* | -os9* | -beos* | -haiku* \
+	-sim | -xray | -os68k* | -v88r* \
+	      | -windows* | -osx | -abug | -netware* | -os9* \
 	      | -macos* | -mpw* | -magic* | -mmixware* | -mon960* | -lnews*)
 		;;
 	-mac*)
-		os=`echo $os | sed -e 's|mac|macos|'`
+		os=`echo "$os" | sed -e 's|mac|macos|'`
 		;;
 	-linux-dietlibc)
 		os=-linux-dietlibc
@@ -1399,10 +1421,10 @@ case $os in
 		os=`echo $os | sed -e 's|linux|linux-gnu|'`
 		;;
 	-sunos5*)
-		os=`echo $os | sed -e 's|sunos5|solaris2|'`
+		os=`echo "$os" | sed -e 's|sunos5|solaris2|'`
 		;;
 	-sunos6*)
-		os=`echo $os | sed -e 's|sunos6|solaris3|'`
+		os=`echo "$os" | sed -e 's|sunos6|solaris3|'`
 		;;
 	-opened*)
 		os=-openedition
@@ -1413,12 +1435,6 @@ case $os in
 	-wince*)
 		os=-wince
 		;;
-	-osfrose*)
-		os=-osfrose
-		;;
-	-osf*)
-		os=-osf
-		;;
 	-utek*)
 		os=-bsd
 		;;
@@ -1443,7 +1459,7 @@ case $os in
 	-nova*)
 		os=-rtmk-nova
 		;;
-	-ns2 )
+	-ns2)
 		os=-nextstep2
 		;;
 	-nsk*)
@@ -1465,7 +1481,7 @@ case $os in
 	-oss*)
 		os=-sysv3
 		;;
-	-svr4)
+	-svr4*)
 		os=-sysv4
 		;;
 	-svr3)
@@ -1480,35 +1496,38 @@ case $os in
 	-ose*)
 		os=-ose
 		;;
-	-es1800*)
-		os=-ose
-		;;
-	-xenix)
-		os=-xenix
-		;;
 	-*mint | -mint[0-9]* | -*MiNT | -MiNT[0-9]*)
 		os=-mint
 		;;
-	-aros*)
-		os=-aros
-		;;
-	-kaos*)
-		os=-kaos
-		;;
 	-zvmoe)
 		os=-zvmoe
 		;;
 	-dicos*)
 		os=-dicos
 		;;
+	-pikeos*)
+		# Until real need of OS specific support for
+		# particular features comes up, bare metal
+		# configurations are quite functional.
+		case $basic_machine in
+		    arm*)
+			os=-eabi
+			;;
+		    *)
+			os=-elf
+			;;
+		esac
+		;;
 	-nacl*)
 		;;
+	-ios)
+		;;
 	-none)
 		;;
 	*)
 		# Get rid of the `-' at the beginning of $os.
 		os=`echo $os | sed 's/[^-]*-//'`
-		echo Invalid configuration \`$1\': system \`$os\' not recognized 1>&2
+		echo Invalid configuration \`"$1"\': system \`"$os"\' not recognized 1>&2
 		exit 1
 		;;
 esac
@@ -1543,6 +1562,12 @@ case $basic_machine in
 	c4x-* | tic4x-*)
 		os=-coff
 		;;
+	c8051-*)
+		os=-elf
+		;;
+	hexagon-*)
+		os=-elf
+		;;
 	tic54x-*)
 		os=-coff
 		;;
@@ -1592,12 +1617,12 @@ case $basic_machine in
 	sparc-* | *-sun)
 		os=-sunos4.1.1
 		;;
+	pru-*)
+		os=-elf
+		;;
 	*-be)
 		os=-beos
 		;;
-	*-haiku)
-		os=-haiku
-		;;
 	*-ibm)
 		os=-aix
 		;;
@@ -1637,7 +1662,7 @@ case $basic_machine in
 	m88k-omron*)
 		os=-luna
 		;;
-	*-next )
+	*-next)
 		os=-nextstep
 		;;
 	*-sequent)
@@ -1652,9 +1677,6 @@ case $basic_machine in
 	i370-*)
 		os=-mvs
 		;;
-	*-next)
-		os=-nextstep3
-		;;
 	*-gould)
 		os=-sysv
 		;;
@@ -1764,15 +1786,15 @@ case $basic_machine in
 				vendor=stratus
 				;;
 		esac
-		basic_machine=`echo $basic_machine | sed "s/unknown/$vendor/"`
+		basic_machine=`echo "$basic_machine" | sed "s/unknown/$vendor/"`
 		;;
 esac
 
-echo $basic_machine$os
+echo "$basic_machine$os"
 exit
 
 # Local variables:
-# eval: (add-hook 'write-file-hooks 'time-stamp)
+# eval: (add-hook 'before-save-hook 'time-stamp)
 # time-stamp-start: "timestamp='"
 # time-stamp-format: "%:y-%02m-%02d"
 # time-stamp-end: "'"
diff --git a/Build/source/utils/asymptote/configure b/Build/source/utils/asymptote/configure
index 4a211e865e4..453fa3f80da 100755
--- a/Build/source/utils/asymptote/configure
+++ b/Build/source/utils/asymptote/configure
@@ -1,6 +1,6 @@
 #! /bin/sh
 # Guess values for system-dependent variables and create Makefiles.
-# Generated by GNU Autoconf 2.69 for Asymptote 2.42.
+# Generated by GNU Autoconf 2.69 for Asymptote 2.43.
 #
 # Report bugs to <http://sourceforge.net/projects/asymptote>.
 #
@@ -580,8 +580,8 @@ MAKEFLAGS=
 # Identity of this package.
 PACKAGE_NAME='Asymptote'
 PACKAGE_TARNAME='asymptote'
-PACKAGE_VERSION='2.42'
-PACKAGE_STRING='Asymptote 2.42'
+PACKAGE_VERSION='2.43'
+PACKAGE_STRING='Asymptote 2.43'
 PACKAGE_BUGREPORT='http://sourceforge.net/projects/asymptote'
 PACKAGE_URL=''
 
@@ -628,14 +628,6 @@ PTHREAD_CFLAGS
 PTHREAD_LIBS
 PTHREAD_CC
 ax_pthread_config
-host_os
-host_vendor
-host_cpu
-host
-build_os
-build_vendor
-build_cpu
-build
 OPTIONS
 INCL
 GCPPLIB
@@ -662,6 +654,14 @@ latexdir
 TEXI2DVI
 kpsewhich
 Datadir
+host_os
+host_vendor
+host_cpu
+host
+build_os
+build_vendor
+build_cpu
+build
 EGREP
 GREP
 CPP
@@ -1283,7 +1283,7 @@ if test "$ac_init_help" = "long"; then
   # Omit some internal or obsolete options to make the list less imposing.
   # This message is too long to be a string in the A/UX 3.1 sh.
   cat <<_ACEOF
-\`configure' configures Asymptote 2.42 to adapt to many kinds of systems.
+\`configure' configures Asymptote 2.43 to adapt to many kinds of systems.
 
 Usage: $0 [OPTION]... [VAR=VALUE]...
 
@@ -1348,7 +1348,7 @@ fi
 
 if test -n "$ac_init_help"; then
   case $ac_init_help in
-     short | recursive ) echo "Configuration of Asymptote 2.42:";;
+     short | recursive ) echo "Configuration of Asymptote 2.43:";;
    esac
   cat <<\_ACEOF
 
@@ -1462,7 +1462,7 @@ fi
 test -n "$ac_init_help" && exit $ac_status
 if $ac_init_version; then
   cat <<\_ACEOF
-Asymptote configure 2.42
+Asymptote configure 2.43
 generated by GNU Autoconf 2.69
 
 Copyright (C) 2012 Free Software Foundation, Inc.
@@ -2048,7 +2048,7 @@ cat >config.log <<_ACEOF
 This file contains any messages produced by compilers while
 running configure, to aid debugging if configure makes a mistake.
 
-It was created by Asymptote $as_me 2.42, which was
+It was created by Asymptote $as_me 2.43, which was
 generated by GNU Autoconf 2.69.  Invocation command line was
 
   $ $0 $@
@@ -3920,6 +3920,106 @@ $as_echo "#define AC_APPLE_UNIVERSAL_BUILD 1" >>confdefs.h
  presetting ac_cv_c_bigendian=no (or yes) will help" "$LINENO" 5 ;;
  esac
 
+ac_aux_dir=
+for ac_dir in "$srcdir" "$srcdir/.." "$srcdir/../.."; do
+  if test -f "$ac_dir/install-sh"; then
+    ac_aux_dir=$ac_dir
+    ac_install_sh="$ac_aux_dir/install-sh -c"
+    break
+  elif test -f "$ac_dir/install.sh"; then
+    ac_aux_dir=$ac_dir
+    ac_install_sh="$ac_aux_dir/install.sh -c"
+    break
+  elif test -f "$ac_dir/shtool"; then
+    ac_aux_dir=$ac_dir
+    ac_install_sh="$ac_aux_dir/shtool install -c"
+    break
+  fi
+done
+if test -z "$ac_aux_dir"; then
+  as_fn_error $? "cannot find install-sh, install.sh, or shtool in \"$srcdir\" \"$srcdir/..\" \"$srcdir/../..\"" "$LINENO" 5
+fi
+
+# These three variables are undocumented and unsupported,
+# and are intended to be withdrawn in a future Autoconf release.
+# They can cause serious problems if a builder's source tree is in a directory
+# whose full name contains unusual characters.
+ac_config_guess="$SHELL $ac_aux_dir/config.guess"  # Please don't use this var.
+ac_config_sub="$SHELL $ac_aux_dir/config.sub"  # Please don't use this var.
+ac_configure="$SHELL $ac_aux_dir/configure"  # Please don't use this var.
+
+
+# Make sure we can run config.sub.
+$SHELL "$ac_aux_dir/config.sub" sun4 >/dev/null 2>&1 ||
+  as_fn_error $? "cannot run $SHELL $ac_aux_dir/config.sub" "$LINENO" 5
+
+{ $as_echo "$as_me:${as_lineno-$LINENO}: checking build system type" >&5
+$as_echo_n "checking build system type... " >&6; }
+if ${ac_cv_build+:} false; then :
+  $as_echo_n "(cached) " >&6
+else
+  ac_build_alias=$build_alias
+test "x$ac_build_alias" = x &&
+  ac_build_alias=`$SHELL "$ac_aux_dir/config.guess"`
+test "x$ac_build_alias" = x &&
+  as_fn_error $? "cannot guess build type; you must specify one" "$LINENO" 5
+ac_cv_build=`$SHELL "$ac_aux_dir/config.sub" $ac_build_alias` ||
+  as_fn_error $? "$SHELL $ac_aux_dir/config.sub $ac_build_alias failed" "$LINENO" 5
+
+fi
+{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_build" >&5
+$as_echo "$ac_cv_build" >&6; }
+case $ac_cv_build in
+*-*-*) ;;
+*) as_fn_error $? "invalid value of canonical build" "$LINENO" 5;;
+esac
+build=$ac_cv_build
+ac_save_IFS=$IFS; IFS='-'
+set x $ac_cv_build
+shift
+build_cpu=$1
+build_vendor=$2
+shift; shift
+# Remember, the first character of IFS is used to create $*,
+# except with old shells:
+build_os=$*
+IFS=$ac_save_IFS
+case $build_os in *\ *) build_os=`echo "$build_os" | sed 's/ /-/g'`;; esac
+
+
+{ $as_echo "$as_me:${as_lineno-$LINENO}: checking host system type" >&5
+$as_echo_n "checking host system type... " >&6; }
+if ${ac_cv_host+:} false; then :
+  $as_echo_n "(cached) " >&6
+else
+  if test "x$host_alias" = x; then
+  ac_cv_host=$ac_cv_build
+else
+  ac_cv_host=`$SHELL "$ac_aux_dir/config.sub" $host_alias` ||
+    as_fn_error $? "$SHELL $ac_aux_dir/config.sub $host_alias failed" "$LINENO" 5
+fi
+
+fi
+{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_host" >&5
+$as_echo "$ac_cv_host" >&6; }
+case $ac_cv_host in
+*-*-*) ;;
+*) as_fn_error $? "invalid value of canonical host" "$LINENO" 5;;
+esac
+host=$ac_cv_host
+ac_save_IFS=$IFS; IFS='-'
+set x $ac_cv_host
+shift
+host_cpu=$1
+host_vendor=$2
+shift; shift
+# Remember, the first character of IFS is used to create $*,
+# except with old shells:
+host_os=$*
+IFS=$ac_save_IFS
+case $host_os in *\ *) host_os=`echo "$host_os" | sed 's/ /-/g'`;; esac
+
+
 
 test "$prefix" = NONE && prefix=/usr/local
 Datadir=$datadir
@@ -4857,35 +4957,6 @@ ac_compile='$CXX -c $CXXFLAGS $CPPFLAGS conftest.$ac_ext >&5'
 ac_link='$CXX -o conftest$ac_exeext $CXXFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5'
 ac_compiler_gnu=$ac_cv_cxx_compiler_gnu
 
-ac_aux_dir=
-for ac_dir in "$srcdir" "$srcdir/.." "$srcdir/../.."; do
-  if test -f "$ac_dir/install-sh"; then
-    ac_aux_dir=$ac_dir
-    ac_install_sh="$ac_aux_dir/install-sh -c"
-    break
-  elif test -f "$ac_dir/install.sh"; then
-    ac_aux_dir=$ac_dir
-    ac_install_sh="$ac_aux_dir/install.sh -c"
-    break
-  elif test -f "$ac_dir/shtool"; then
-    ac_aux_dir=$ac_dir
-    ac_install_sh="$ac_aux_dir/shtool install -c"
-    break
-  fi
-done
-if test -z "$ac_aux_dir"; then
-  as_fn_error $? "cannot find install-sh, install.sh, or shtool in \"$srcdir\" \"$srcdir/..\" \"$srcdir/../..\"" "$LINENO" 5
-fi
-
-# These three variables are undocumented and unsupported,
-# and are intended to be withdrawn in a future Autoconf release.
-# They can cause serious problems if a builder's source tree is in a directory
-# whose full name contains unusual characters.
-ac_config_guess="$SHELL $ac_aux_dir/config.guess"  # Please don't use this var.
-ac_config_sub="$SHELL $ac_aux_dir/config.sub"  # Please don't use this var.
-ac_configure="$SHELL $ac_aux_dir/configure"  # Please don't use this var.
-
-
 # Find a good install program.  We prefer a C program (faster),
 # so one script is as good as another.  But avoid the broken or
 # incompatible versions:
@@ -5766,8 +5837,22 @@ fi
 
 
 
-GCVERSION=7.6.2
-ATOMICVERSION=7.6.2
+case $host in
+  *mac*) HELLO_SYSTEM='hello-linux.$(OBJEXT)' ;;
+  *)       HELLO_SYSTEM='hello-generic.$(OBJEXT)' ;;
+esac
+
+case "${host_os}" in
+    darwin*)
+      GCVERSION=7.6.0
+      ATOMICVERSION=7.6.0
+        ;;
+   *)
+      GCVERSION=7.6.2
+      ATOMICVERSION=7.6.2
+        ;;
+esac
+
 GCFILE=gc-$GCVERSION
 ac_cv_use_gc="system"
 
@@ -6046,77 +6131,6 @@ else
   as_fn_error $? "*** Please install libz or zlib-devel on your system ***" "$LINENO" 5
 fi
 
-# Make sure we can run config.sub.
-$SHELL "$ac_aux_dir/config.sub" sun4 >/dev/null 2>&1 ||
-  as_fn_error $? "cannot run $SHELL $ac_aux_dir/config.sub" "$LINENO" 5
-
-{ $as_echo "$as_me:${as_lineno-$LINENO}: checking build system type" >&5
-$as_echo_n "checking build system type... " >&6; }
-if ${ac_cv_build+:} false; then :
-  $as_echo_n "(cached) " >&6
-else
-  ac_build_alias=$build_alias
-test "x$ac_build_alias" = x &&
-  ac_build_alias=`$SHELL "$ac_aux_dir/config.guess"`
-test "x$ac_build_alias" = x &&
-  as_fn_error $? "cannot guess build type; you must specify one" "$LINENO" 5
-ac_cv_build=`$SHELL "$ac_aux_dir/config.sub" $ac_build_alias` ||
-  as_fn_error $? "$SHELL $ac_aux_dir/config.sub $ac_build_alias failed" "$LINENO" 5
-
-fi
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_build" >&5
-$as_echo "$ac_cv_build" >&6; }
-case $ac_cv_build in
-*-*-*) ;;
-*) as_fn_error $? "invalid value of canonical build" "$LINENO" 5;;
-esac
-build=$ac_cv_build
-ac_save_IFS=$IFS; IFS='-'
-set x $ac_cv_build
-shift
-build_cpu=$1
-build_vendor=$2
-shift; shift
-# Remember, the first character of IFS is used to create $*,
-# except with old shells:
-build_os=$*
-IFS=$ac_save_IFS
-case $build_os in *\ *) build_os=`echo "$build_os" | sed 's/ /-/g'`;; esac
-
-
-{ $as_echo "$as_me:${as_lineno-$LINENO}: checking host system type" >&5
-$as_echo_n "checking host system type... " >&6; }
-if ${ac_cv_host+:} false; then :
-  $as_echo_n "(cached) " >&6
-else
-  if test "x$host_alias" = x; then
-  ac_cv_host=$ac_cv_build
-else
-  ac_cv_host=`$SHELL "$ac_aux_dir/config.sub" $host_alias` ||
-    as_fn_error $? "$SHELL $ac_aux_dir/config.sub $host_alias failed" "$LINENO" 5
-fi
-
-fi
-{ $as_echo "$as_me:${as_lineno-$LINENO}: result: $ac_cv_host" >&5
-$as_echo "$ac_cv_host" >&6; }
-case $ac_cv_host in
-*-*-*) ;;
-*) as_fn_error $? "invalid value of canonical host" "$LINENO" 5;;
-esac
-host=$ac_cv_host
-ac_save_IFS=$IFS; IFS='-'
-set x $ac_cv_host
-shift
-host_cpu=$1
-host_vendor=$2
-shift; shift
-# Remember, the first character of IFS is used to create $*,
-# except with old shells:
-host_os=$*
-IFS=$ac_save_IFS
-case $host_os in *\ *) host_os=`echo "$host_os" | sed 's/ /-/g'`;; esac
-
-
 
 
 ac_ext=c
@@ -8538,7 +8552,7 @@ cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1
 # report actual input values of CONFIG_FILES etc. instead of their
 # values after options handling.
 ac_log="
-This file was extended by Asymptote $as_me 2.42, which was
+This file was extended by Asymptote $as_me 2.43, which was
 generated by GNU Autoconf 2.69.  Invocation command line was
 
   CONFIG_FILES    = $CONFIG_FILES
@@ -8600,7 +8614,7 @@ _ACEOF
 cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1
 ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`"
 ac_cs_version="\\
-Asymptote config.status 2.42
+Asymptote config.status 2.43
 configured by $0, generated by GNU Autoconf 2.69,
   with options \\"\$ac_cs_config\\"
 
diff --git a/Build/source/utils/asymptote/configure.ac b/Build/source/utils/asymptote/configure.ac
index 924f35422ca..e2332bce521 100644
--- a/Build/source/utils/asymptote/configure.ac
+++ b/Build/source/utils/asymptote/configure.ac
@@ -3,16 +3,17 @@
 # this file.
 
 AC_PREREQ(2)
-AC_INIT([Asymptote],[2.42],[http://sourceforge.net/projects/asymptote])
+AC_INIT([Asymptote],[2.43],[http://sourceforge.net/projects/asymptote])
 VERSION=$PACKAGE_VERSION
 AC_SUBST(VERSION)
 m4_include([ax_pthread.m4])
 
-test "$CXXFLAGS" || CXXFLAGS=""
+test "$CXXFLAGS" || CXXFLAGS="-std=c++11"
 
 test "$CFLAGS" || CFLAGS="-g -O3"
 
 AC_C_BIGENDIAN
+AC_CANONICAL_HOST
 
 test "$prefix" = NONE && prefix=/usr/local
 Datadir=$datadir
@@ -123,8 +124,22 @@ AC_CHECK_HEADER(unordered_map,AC_DEFINE(HAVE_UNORDERED_MAP,1,
 			      [Define to 1 if you have tr1/unordered_map]),
 	[AC_CHECK_HEADER(ext/hash_map,,OPTIONS=$OPTIONS"-DNOHASH ")])])
 
-GCVERSION=7.6.2
-ATOMICVERSION=7.6.2
+case $host in
+  *mac*) HELLO_SYSTEM='hello-linux.$(OBJEXT)' ;;
+  *)       HELLO_SYSTEM='hello-generic.$(OBJEXT)' ;;
+esac
+
+case "${host_os}" in
+    darwin*)
+      GCVERSION=7.6.0
+      ATOMICVERSION=7.6.0
+        ;;
+   *)
+      GCVERSION=7.6.2
+      ATOMICVERSION=7.6.2
+        ;;
+esac
+
 GCFILE=gc-$GCVERSION
 ac_cv_use_gc="system"
 
diff --git a/Build/source/utils/asymptote/doc/CAD.pdf b/Build/source/utils/asymptote/doc/CAD.pdf
deleted file mode 100644
index eaeb2b6bcd9..00000000000
--- a/Build/source/utils/asymptote/doc/CAD.pdf
+++ /dev/null
diff --git a/Build/source/utils/asymptote/doc/FAQ/asy-faq.info b/Build/source/utils/asymptote/doc/FAQ/asy-faq.info
deleted file mode 100644
index 155fb75c2eb..00000000000
--- a/Build/source/utils/asymptote/doc/FAQ/asy-faq.info
+++ /dev/null
@@ -1,1671 +0,0 @@
-Info file: asy-faq.info,    -*-Text-*-
-produced by bfnnconv.pl from the Bizarre Format With No Name.
-
-INFO-DIR-SECTION Languages
-START-INFO-DIR-ENTRY
-* asymptote FAQ: (asy-faq).    Asymptote Frequently Asked Questions.
-END-INFO-DIR-ENTRY
-
-
-File: asy-faq.info, Node: Top, Next: Question 1.1, Up: (dir)
-
-            ASYMPTOTE FREQUENTLY ASKED QUESTIONS
-                            03 Apr 2018
-                          
-This is the list of Frequently Asked Questions about Asymptote (asy).
-
-Index
-
-* Menu:
-* Section 1::       About Asymptote
-* Section 2::       Questions about installation and setup
-* Section 3::       Questions about paths
-* Section 4::       Questions about labels
-* Section 5::       Questions about arrows
-* Section 6::       Questions about 2D graphs
-* Section 7::       Questions about programming
-* Section 8::       Questions about differences between Asymptote and
-                    MetaPost
-* Section 9::       Questions about output
-
-Section 1, About Asymptote
-* Question 1.1::    What is Asymptote?
-* Question 1.2::    How do I obtain Asymptote?
-* Question 1.3::    Where can I ask questions about Asymptote?
-* Question 1.4::    Why was the name Asymptote chosen?
-* Question 1.5::    In the internal Asymptote source code, what does the
-                    name camp refer to?
-
-Section 2, Questions about installation and setup
-* Question 2.1::    Is it possible to install Asymptote on Mac OS X?
-* Question 2.2::    Why do I get the error Bad CPU type in executable on
-                    installing Asymptote from the MAC OS binary?
-* Question 2.3::    What do I do if I get the error: Error: pdfetex (file
-                    pdftex.cfg): cannot open config file...texinfo.tex
-                    appears to be broken?
-* Question 2.4::    What do I do if I get the error: ! Undefined control
-                    sequence. l.6 @copying?
-* Question 2.5::    Is it possible to integrate Asymptote into LaTeX?
-* Question 2.6::    Is it possible to integrate Asymptote into latex or
-                    pdflatex?
-* Question 2.7::    Do I need the tkinter package to install an Asymptote
-                    rpm binary?
-* Question 2.8::    What does the path %USERPROFILE%\.asy\config.asy mean?
-* Question 2.9::    Why do I get the error "string not terminated" when I
-                    try to set settings.dir="C:\asymptote\";?
-* Question 2.10::   How do I change environment variables in Microsoft
-                    Windows, for example, in order to change the default
-                    PostScript viewer?
-* Question 2.11::   Under Microsoft Windows XP, why do I get an error like
-                    "Invalid Parameter - 432x432"?
-* Question 2.12::   Why does Asymptote freeze upon trying to draw a label
-                    with my MikTex installation under Microsoft Windows?
-
-Section 3, Questions about paths
-* Question 3.1::    Why do I get a syntax error message when I specify an
-                    integer value for the path tension?
-* Question 3.2::    Shouldn't dots always be the same size?
-
-Section 4, Questions about labels
-* Question 4.1::    How do I get Greek letters like omega to show up in my
-                    labels?
-* Question 4.2::    Can Asymptote use matrices as labels?
-* Question 4.3::    How do I tell Asymptote to load a particular LaTeX
-                    package, like mathptmx?
-* Question 4.4::    How can I use international fonts in Asymptote labels?
-* Question 4.5::    How can I use Fourier fonts?
-* Question 4.6::    Is there any way to change the default appearance of
-                    the decimal separator, using a comma instead of a dot?
-* Question 4.7::    How can I get a rotated label with the filled box
-                    rotated as well so that it fits the text?
-* Question 4.8::    How can I rotate labels in a 3D figure?
-* Question 4.9::    How can I draw some squares and circles of a fixed
-                    size and put a label in the middle of them?
-* Question 4.10::   The binary operator * can be used to scale the color
-                    of a pen by a real number. Does this scaling factor
-                    have to be less than 1?
-* Question 4.11::   Why is the space after the comma decimal separator in
-                    my locale so large?
-* Question 4.12::   How can I prevent
-                    texpreamble("\usepackage[pdftex]{hyperref}") from
-                    changing the page size?
-
-Section 5, Questions about arrows
-* Question 5.1::    How do I draw two arrows at arbitrary positions along
-                    a path?
-* Question 5.2::    How do I reverse the direction of an arrowhead?
-* Question 5.3::    How do I change the size of all arrows?
-* Question 5.4::    Can I create other arrowhead styles?
-
-Section 6, Questions about 2D graphs
-* Question 6.1::    How can I draw x axis ticks on the right side, with
-                    the tick labels on the left side (relative to the axis
-                    path)?
-* Question 6.2::    How can I reposition the x axis label to
-                    three-quarters along the axis length?
-* Question 6.3::    How can I move the x axis label down 10bp?
-* Question 6.4::    Can I use different pens for the axis, the axis label,
-                    and the tick labels?
-* Question 6.5::    How can I change the font type of the axes label?
-* Question 6.6::    How can I change the font type of the tick labels on
-                    an axis?
-* Question 6.7::    How can I prevent axes tick labels from rendering on
-                    top of each other?
-* Question 6.8::    How do I make the plot region of a graph, ignoring
-                    labels and legends, have a fixed size?
-* Question 6.9::    How can I plot a function f(x) within [0,1]x[0,2]
-                    without explicitly calculating the x values for which
-                    f(x) hits the boundary?
-* Question 6.10::   Is it possible to define customized palettes?
-* Question 6.11::   Is there an easy way to graph factorial functions
-                    nicely?
-* Question 6.12::   How do I indicate that a certain length should be
-                    exactly the size I prescribe with no rescaling, within
-                    a picture which has its own size?
-* Question 6.13::   How can I make the y axis display base-2 logarithmic
-                    values?
-* Question 6.14::   How can I align the x axes of two graphs on the same
-                    figure?
-* Question 6.15::   How can I change the direction of the y-axis, such
-                    that negatives values are on the upper y-axis?
-* Question 6.16::   How can I fill a path with a function that defines the
-                    color of each location?
-* Question 6.17::   Is there a way to draw a function that is not
-                    explicitly given, such as (y - 2)^2 = x - 1 ?
-* Question 6.18::   Is it possible to reverse or stretch an axis?
-* Question 6.19::   Why can't I use the UnFill option to draw graphs with
-                    empty markers?
-* Question 6.20::   How can I force several images to use the same palette
-                    range (e.g. the entire 0-255 grayscale range)?
-
-Section 7, Questions about programming
-* Question 7.1::    Is Asymptote an interpreter or a compiler?
-* Question 7.2::    What is the difference between a frame and a picture?
-* Question 7.3::    What is the difference between a path and a guide?
-* Question 7.4::    What is a convenient way to declare and initialize an
-                    array of pictures?
-* Question 7.5::    Is there a way to define functions that act on arrays
-                    in general (i.e. work for arrays of any type)?
-* Question 7.6::    Is there any way to declare structures ahead of their
-                    definition, e.g. where struct A performs some
-                    operation on struct B, but B contains an A member?
-* Question 7.7::    Where are static variables in for loops allocated?
-* Question 7.8::    Is there a debugger for asy?
-* Question 7.9::    Do you accept patches for Asymptote?
-
-Section 8, Questions about differences between Asymptote and
-                    MetaPost
-* Question 8.1::    What is the equivalent of the MetaPost c[a,b]
-                    interpolation operator?
-* Question 8.2::    How does picture scaling differ in Asymptote and
-                    MetaPost?
-* Question 8.3::    How can I avoid automatic scaling of a picture?
-* Question 8.4::    What is the equivalent of MetaPost ... command?
-* Question 8.5::    What is the equivalent of the MetaPost pickup command?
-* Question 8.6::    What is the equivalent of the MetaPost whatever
-                    command?
-* Question 8.7::    What is the equivalent for the MetaPost command for
-                    lray - horiz*v - verti*u = whatever*(LightSource - R),
-                    a system of three linear equations for three unknowns:
-                    horiz, verti, whatever?
-* Question 8.8::    In MetaPost, it is possible to have a drawing remain
-                    the same size in different pictures by defining a unit
-                    u and explicitly multiply all the coordinates by u. Is
-                    there a better way to do this in Asymptote?
-* Question 8.9::    In MetaPost, one could produce tiling pictures by
-                    generating a picture, and then clipping the picture to
-                    a rectangle of fixed dimensions around the center of
-                    the picture. How is that done in Asymptote?
-
-Section 9, Questions about output
-* Question 9.1::    How can I disable automatic invocation of the PS
-                    viewer after an asy file is done processing?
-* Question 9.2::    How do I output jpeg images?
-* Question 9.3::    Can I embed bitmaps (photos) into my drawings and
-                    position and scale them?
-* Question 9.4::    Does Asymptote support direct PDF output?
-* Question 9.5::    How to I produce large pictures of high quality in
-                    raster format (e.g. png, giff etc).
-* Question 9.6::    Is it possible to produce multi-page documents with
-                    asymptote?
-
-
-
-File: asy-faq.info, Node: Section 1, Next: Section 2, Previous: Top, Up: Top
-
-About Asymptote
-
-* Menu:
-* Question 1.1::    What is Asymptote?
-* Question 1.2::    How do I obtain Asymptote?
-* Question 1.3::    Where can I ask questions about Asymptote?
-* Question 1.4::    Why was the name Asymptote chosen?
-* Question 1.5::    In the internal Asymptote source code, what does the
-                    name camp refer to?
-
-
-
-File: asy-faq.info, Node: Question 1.1, Next: Question 1.2, Previous: Top, Up: Section 1
-
-Question 1.1.  What is Asymptote?
-
-Asymptote is a vector graphics language designed for technical graphics,
-inspired by MetaPost but with IEEE floating-point numerics, native
-three-dimensional graphics, Grayscale/RGB/CMYK colourspaces, and a
-C++-like syntax. Unlike MetaPost, it natively supports multiple-segment
-paths (and hence regions other than simply connected ones), tiling
-patterns, Gouraud  shading, tensor patch shading, and PostScript images.
-
-
-File: asy-faq.info, Node: Question 1.2, Next: Question 1.3, Previous: Question 1.1, Up: Section 1
-
-Question 1.2.  How do I obtain Asymptote?
-
-Binary releases are available for Linux, MacOS X, and Microsoft Windows
-platforms, in addition to full source code, from the website
-http://asymptote.sourceforge.net/.  Many Linux distributions (such as
-RedHat and Debian) now include an Asymptote package (check your
-distribution's documentation for further information about this).
-
-
-File: asy-faq.info, Node: Question 1.3, Next: Question 1.4, Previous: Question 1.2, Up: Section 1
-
-Question 1.3.  Where can I ask questions about Asymptote?
-
-If you have a question, please try to find an answer in this FAQ, in the
-extensive Asymptote documentation at
-http://asymptote.sourceforge.net/doc/, or search the forum:
-http://sourceforge.net/forum/forum.php?forum_id=409349.
-
-
-File: asy-faq.info, Node: Question 1.4, Next: Question 1.5, Previous: Question 1.3, Up: Section 1
-
-Question 1.4.  Why was the name Asymptote chosen?
-
-Well, it isn't the perfect graphics package, but we do think it is getting
-there asymptotically...
-
-
-File: asy-faq.info, Node: Question 1.5, Next: Question 2.1, Previous: Question 1.4, Up: Section 1
-
-Question 1.5.  In the internal Asymptote source code, what does the name camp refer to?
-
-That was our original tentative name for this project, which stood for
-"C's Answer to MetaPost" (the language that inspired Asymptote).  However,
-we eventually decided that the name Asymptote better emphasizes the
-mathematical and graphical nature of this language.
-
-
-File: asy-faq.info, Node: Section 2, Next: Section 3, Previous: Section 1, Up: Top
-
-Questions about installation and setup
-
-* Menu:
-* Question 2.1::    Is it possible to install Asymptote on Mac OS X?
-* Question 2.2::    Why do I get the error Bad CPU type in executable on
-                    installing Asymptote from the MAC OS binary?
-* Question 2.3::    What do I do if I get the error: Error: pdfetex (file
-                    pdftex.cfg): cannot open config file...texinfo.tex
-                    appears to be broken?
-* Question 2.4::    What do I do if I get the error: ! Undefined control
-                    sequence. l.6 @copying?
-* Question 2.5::    Is it possible to integrate Asymptote into LaTeX?
-* Question 2.6::    Is it possible to integrate Asymptote into latex or
-                    pdflatex?
-* Question 2.7::    Do I need the tkinter package to install an Asymptote
-                    rpm binary?
-* Question 2.8::    What does the path %USERPROFILE%\.asy\config.asy mean?
-* Question 2.9::    Why do I get the error "string not terminated" when I
-                    try to set settings.dir="C:\asymptote\";?
-* Question 2.10::   How do I change environment variables in Microsoft
-                    Windows, for example, in order to change the default
-                    PostScript viewer?
-* Question 2.11::   Under Microsoft Windows XP, why do I get an error like
-                    "Invalid Parameter - 432x432"?
-* Question 2.12::   Why does Asymptote freeze upon trying to draw a label
-                    with my MikTex installation under Microsoft Windows?
-
-
-
-File: asy-faq.info, Node: Question 2.1, Next: Question 2.2, Previous: Question 1.5, Up: Section 2
-
-Question 2.1.  Is it possible to install Asymptote on Mac OS X?
-
-It is easy to compile Asymptote directly from the source code at
-http://sourceforge.net/project/showfiles.php?group_id=120000 We recommend
-first upgrading to the latest GNU readline library, unless you don't care
-about interactive readline support (in which case configure will
-automatically detect and disable obsolete versions of the readline
-library).  Marius Schamschula also maintains a binary package for various
-MacOS X platforms
-http://www.hmug.org/pub/MacOS_X/X/Applications/Publishing/asymptote.
-
-
-File: asy-faq.info, Node: Question 2.2, Next: Question 2.3, Previous: Question 2.1, Up: Section 2
-
-Question 2.2.  Why do I get the error Bad CPU type in executable on installing Asymptote from the MAC OS binary?
-
-This means either that you have a binary distribution for another MAC
-architecture, or (according to Marius Schamschula) that you may have a
-missing library. The simplest solution is to compile Asymptote directly
-from the official source:
-http://sourceforge.net/project/showfiles.php?group_id=120000.
-
-
-File: asy-faq.info, Node: Question 2.3, Next: Question 2.4, Previous: Question 2.2, Up: Section 2
-
-Question 2.3.  What do I do if I get the error: Error: pdfetex (file pdftex.cfg): cannot open config file...texinfo.tex appears to be broken?
-
-Simply put http://asymptote.sourceforge.net/asymptote.pdf in the directory
-doc and repeat the command make all.  Or, if you don't want to build a
-local copy of the documentation, simply proceed with make install-asy.
-
-
-File: asy-faq.info, Node: Question 2.4, Next: Question 2.5, Previous: Question 2.3, Up: Section 2
-
-Question 2.4.  What do I do if I get the error: ! Undefined control sequence. l.6 @copying?
-
-Either upgrade your texinfo package or follow one of the easy work arounds
-in *Note Question 2.3:: `What do I do if I get the error: Error: pdfetex
-(file pdftex.cfg): cannot open config file...texinfo.tex appears to be
-broken?'.
-
-
-File: asy-faq.info, Node: Question 2.5, Next: Question 2.6, Previous: Question 2.4, Up: Section 2
-
-Question 2.5.  Is it possible to integrate Asymptote into LaTeX?
-
-Yes, see the example latexusage.tex. Dario Teixeira has also written a
-detailed guide on the topic. You can download it from
-http://dario.dse.nl/projects/asylatex/.
-
-Philippe Ivaldi has contributed an Asymptote mode for Emacs users
-http://asymptote.sourceforge.net/doc/Editing-modes.html, which includes a
-lasy-mode that allows one to compile and view the output of one
-\begin{asy}...\end{asy} section at a time.
-
-
-File: asy-faq.info, Node: Question 2.6, Next: Question 2.7, Previous: Question 2.5, Up: Section 2
-
-Question 2.6.  Is it possible to integrate Asymptote into latex or pdflatex?
-
-Yes, as of version 1.14, Asymptote supports latex and pdflatex (both in
-EPS/PDF and inline mode), as illustrated by the example latexusage.tex:
-
-pdflatex latexusage
-asy latexusage
-pdflatex latexusage
-
-File: asy-faq.info, Node: Question 2.7, Next: Question 2.8, Previous: Question 2.6, Up: Section 2
-
-Question 2.7.  Do I need the tkinter package to install an Asymptote rpm binary?
-
-No, you don't need tkinter unless you want to try out the GUI xasy. Try
-
-rpm -Uvh --nodeps asymptote-x.xx-1.i386.rpm
-where x.xx represents the version number.
-
-
-File: asy-faq.info, Node: Question 2.8, Next: Question 2.9, Previous: Question 2.7, Up: Section 2
-
-Question 2.8.  What does the path %USERPROFILE%\.asy\config.asy mean?
-
-That is the way that Microsoft Windows refers to the user profile
-directory.  There's nothing really to understand here, just put your
-configuration commands in the file config.asy in a new folder
-%USERPROFILE%\.asy.
-
-
-File: asy-faq.info, Node: Question 2.9, Next: Question 2.10, Previous: Question 2.8, Up: Section 2
-
-Question 2.9.  Why do I get the error "string not terminated" when I try to set settings.dir="C:\asymptote\";?
-
-The backslash is an escape character here, so \" is interpreted as a
-verbatim quotation mark, leaving the string without a terminating
-quotation mark. Fortunately, this is the only escaped character in
-double-quoted strings. A final backslash isn't needed here anyway, but
-should you really want one somewhere, you can say:
-settings.dir="C:\asymptote"+'\\';.
-
-
-File: asy-faq.info, Node: Question 2.10, Next: Question 2.11, Previous: Question 2.9, Up: Section 2
-
-Question 2.10.  How do I change environment variables in Microsoft Windows, for example, in order to change the default PostScript viewer?
-
-While it is easier to set the corresponding Asymptote configuration
-variable in your config.asy file, here is the procedure for changing
-Microsoft Windows environment variables:
-
-Click on the [Start] button
-
-* RIGHT-click on 'My Computer'
-
-* Choose 'Properties' from the popup menu
-
-* Click the 'Advanced' tab
-
-* Click the 'Environment Variables' button.
-
-
-File: asy-faq.info, Node: Question 2.11, Next: Question 2.12, Previous: Question 2.10, Up: Section 2
-
-Question 2.11.  Under Microsoft Windows XP, why do I get an error like "Invalid Parameter - 432x432"?
-
-This means that ImageMagick wasn't properly installed and you are using
-the MSDOS convert program rather than the ImageMagick one. Or you may have
-installed ImageMagick but ran Asymptote from an existing MSDOS window.  In
-that case, simply open a new window and try again. If that doesn't work,
-check that
-
-convert --version 
-returns something like
-
-Version: ImageMagick 6.2.8 06/27/06 Q16 http://www.imagemagick.org
-
-File: asy-faq.info, Node: Question 2.12, Next: Question 3.1, Previous: Question 2.11, Up: Section 2
-
-Question 2.12.  Why does Asymptote freeze upon trying to draw a label with my MikTex installation under Microsoft Windows?
-
-Likely, this means that latex and dvips are not in your default path.  Try
-adding the appropriate paths in your config.asy file,  for example:
-
-import settings;
-latex="C:\Program Files\MiKTeX 2.7\miktex\bin\latex.exe";
-dvips="C:\Program Files\MiKTeX 2.7\miktex\bin\dvips.exe";
-
-File: asy-faq.info, Node: Section 3, Next: Section 4, Previous: Section 2, Up: Top
-
-Questions about paths
-
-* Menu:
-* Question 3.1::    Why do I get a syntax error message when I specify an
-                    integer value for the path tension?
-* Question 3.2::    Shouldn't dots always be the same size?
-
-
-
-File: asy-faq.info, Node: Question 3.1, Next: Question 3.2, Previous: Question 2.12, Up: Section 3
-
-Question 3.1.  Why do I get a syntax error message when I specify an integer value for the path tension?
-
-What is happening here is that
-
-draw((0,0)..tension 2..(0,50)..(100,100));
-is read as
-
-draw((0,0)..tension 2. .(0,50)..(100,100));
-So the first . after the two is treated as a decimal point.  Just put a
-space after the integer tension value:
-
-draw((0,0)..tension 2 ..(0,50)..(100,100));
-
-File: asy-faq.info, Node: Question 3.2, Next: Question 4.1, Previous: Question 3.1, Up: Section 3
-
-Question 3.2.  Shouldn't dots always be the same size?
-
-From the documentation:
-
-"The dot command defined in the module plain draws a dot having a diameter
-equal to an explicit pen linewidth or the default linewidth magnified by
-dotfactor (6 by default)."
-
-Thus, when you use the default pen, the dot will have size 6*linewidth,
-but when you give a pen with an explicit width specified, you will  have a
-dot of size linewidth. If you want the first case to behave like the
-second, you may set dotfactor=1.
-
-
-File: asy-faq.info, Node: Section 4, Next: Section 5, Previous: Section 3, Up: Top
-
-Questions about labels
-
-* Menu:
-* Question 4.1::    How do I get Greek letters like omega to show up in my
-                    labels?
-* Question 4.2::    Can Asymptote use matrices as labels?
-* Question 4.3::    How do I tell Asymptote to load a particular LaTeX
-                    package, like mathptmx?
-* Question 4.4::    How can I use international fonts in Asymptote labels?
-* Question 4.5::    How can I use Fourier fonts?
-* Question 4.6::    Is there any way to change the default appearance of
-                    the decimal separator, using a comma instead of a dot?
-* Question 4.7::    How can I get a rotated label with the filled box
-                    rotated as well so that it fits the text?
-* Question 4.8::    How can I rotate labels in a 3D figure?
-* Question 4.9::    How can I draw some squares and circles of a fixed
-                    size and put a label in the middle of them?
-* Question 4.10::   The binary operator * can be used to scale the color
-                    of a pen by a real number. Does this scaling factor
-                    have to be less than 1?
-* Question 4.11::   Why is the space after the comma decimal separator in
-                    my locale so large?
-* Question 4.12::   How can I prevent
-                    texpreamble("\usepackage[pdftex]{hyperref}") from
-                    changing the page size?
-
-
-
-File: asy-faq.info, Node: Question 4.1, Next: Question 4.2, Previous: Question 3.2, Up: Section 4
-
-Question 4.1.  How do I get Greek letters like omega to show up in my labels?
-
-In (La)TeX, Greek letters can be obtained in math mode by prepending a
-backslash to the letter name. So for a omega symbol, use "$\omega$".
-Everything between the dollar signs is considered to be a math formula.
-Uppercase Greek letters can be used by capitalizing the first letter of
-the name:
-
-label("$\omega$",(0,0));
-label("$\Omega$",(20,0));
-
-File: asy-faq.info, Node: Question 4.2, Next: Question 4.3, Previous: Question 4.1, Up: Section 4
-
-Question 4.2.  Can Asymptote use matrices as labels?
-
-Yes:
-usepackage("amsmath");
-label("$\begin{matrix} 1 & 2 \\\ 1 & 1 \end{matrix}$",(0,0));
-
-File: asy-faq.info, Node: Question 4.3, Next: Question 4.4, Previous: Question 4.2, Up: Section 4
-
-Question 4.3.  How do I tell Asymptote to load a particular LaTeX package, like mathptmx?
-
-Put
-
-usepackage("mathptmx");
-at the beginning of your file. Note: to enable the Adobe Times Roman font
-for text, you will also need to say:
-defaultpen(TimesRoman());
-
-File: asy-faq.info, Node: Question 4.4, Next: Question 4.5, Previous: Question 4.3, Up: Section 4
-
-Question 4.4.  How can I use international fonts in Asymptote labels?
-
-See http://asymptote.sourceforge.net/doc/unicode.html.
-
-
-File: asy-faq.info, Node: Question 4.5, Next: Question 4.6, Previous: Question 4.4, Up: Section 4
-
-Question 4.5.  How can I use Fourier fonts?
-
-usepackage("fourier");
-defaultpen(font("T1","fut\textfamilyextension","m","n"));
-
-File: asy-faq.info, Node: Question 4.6, Next: Question 4.7, Previous: Question 4.5, Up: Section 4
-
-Question 4.6.  Is there any way to change the default appearance of the decimal separator, using a comma instead of a dot?
-
-Just set your locale appropriately:
-
-locale("it_IT");
-usepackage("icomma");
-label(format(0.5));
-
-File: asy-faq.info, Node: Question 4.7, Next: Question 4.8, Previous: Question 4.6, Up: Section 4
-
-Question 4.7.  How can I get a rotated label with the filled box rotated as well so that it fits the text?
-
-frame f;
-label(f,"This is some text",white,Fill(blue));
-add(rotate(65)*f);
-
-File: asy-faq.info, Node: Question 4.8, Next: Question 4.9, Previous: Question 4.7, Up: Section 4
-
-Question 4.8.  How can I rotate labels in a 3D figure?
-
-You need to first project the triple to a pair like this:
-
-import three;
-size(100,100);
-
-draw(rotate(90,project(Z))*"A",O--X);
-
-File: asy-faq.info, Node: Question 4.9, Next: Question 4.10, Previous: Question 4.8, Up: Section 4
-
-Question 4.9.  How can I draw some squares and circles of a fixed size and put a label in the middle of them?
-
-Fixed-size objects should be drawn on a separate picture and then added to
-currentpicture. Here is one way (see also
-http://asymptote.sourceforge.net/gallery/subpictures.asy and
-http://asymptote.sourceforge.net/gallery/mosquito.asy):
-
-real u=2cm;
- 
-picture square;
-draw(square,scale(u)*shift(-0.5,-0.5)*unitsquare);
- 
-picture circle;
-draw(circle,scale(0.5u)*unitcircle);
- 
-void add(picture pic=currentpicture, Label L, picture object, pair z) { 
-add(pic,object,z);
-label(pic,L,z);
-} 
- 
-add("square",square,(0,0));
-add("circle",circle,(5cm,0));
-
-File: asy-faq.info, Node: Question 4.10, Next: Question 4.11, Previous: Question 4.9, Up: Section 4
-
-Question 4.10.  The binary operator * can be used to scale the color of a pen by a real number. Does this scaling factor have to be less than 1?
-
-The scaling factor can be greater than 1. But keep in mind that the rgb
-color  components saturate at 1.
-
-Try
-write(cyan); write(0.8*cyan); write(1.5*cyan);
-and you will quickly see what is going on.
-
-To get a lighter cyan you can say white+cyan,  which yields rgb(0.5,1,1).
-If you want something even lighter specify the  rgb colors directly,  for
-example, rgb(0.9,1,1).
-
-Alternatively, work in cmyk colour space, which is nicer in that it
-handles  saturation separately from hue:
-
-0.1*Cyan is light and 0.9*Cyan is dark.  You can also say 0.1*cmyk(red).
-
-
-File: asy-faq.info, Node: Question 4.11, Next: Question 4.12, Previous: Question 4.10, Up: Section 4
-
-Question 4.11.  Why is the space after the comma decimal separator in my locale so large?
-
-LaTeX is treating the comma as punctuation and not as a decimal separator.
-The solution is to load the icomma package near the beginning of your
-file:
-usepackage("icomma");
-
-File: asy-faq.info, Node: Question 4.12, Next: Question 5.1, Previous: Question 4.11, Up: Section 4
-
-Question 4.12.  How can I prevent texpreamble("\usepackage[pdftex]{hyperref}") from changing the page size?
-
-texpreamble("\usepackage[pdftex,setpagesize=false]{hyperref}");
-
-File: asy-faq.info, Node: Section 5, Next: Section 6, Previous: Section 4, Up: Top
-
-Questions about arrows
-
-* Menu:
-* Question 5.1::    How do I draw two arrows at arbitrary positions along
-                    a path?
-* Question 5.2::    How do I reverse the direction of an arrowhead?
-* Question 5.3::    How do I change the size of all arrows?
-* Question 5.4::    Can I create other arrowhead styles?
-
-
-
-File: asy-faq.info, Node: Question 5.1, Next: Question 5.2, Previous: Question 4.12, Up: Section 5
-
-Question 5.1.  How do I draw two arrows at arbitrary positions along a path?
-
-Assuming that at least one of the arrowheads is to be filled, you can do
-this:
-
-size(200); 
-path g = (0,0)..(1,3)..(3,0); 
-draw(g,Arrow(Relative(0.9))); 
-add(arrow(g,invisible,FillDraw(black),Relative(0.5))); 
-add(arrow(reverse(g),invisible,FillDraw(white,black),Relative(0.9))); 
-If both of the arrowheads are to be drawn with filltype NoFill, one will
-need to create a specialized version of the arrow routine in
-plain_arrows.asy:
-
-void arrow(frame f, arrowhead arrowhead=DefaultHead,
-           path g, pen p=currentpen, real size=0,
-           real angle=arrowangle, filltype filltype=arrowhead.defaultfilltype,
-           position position=EndPoint, bool forwards=true,
-           margin margin=NoMargin, bool center=false);
-
-File: asy-faq.info, Node: Question 5.2, Next: Question 5.3, Previous: Question 5.1, Up: Section 5
-
-Question 5.2.  How do I reverse the direction of an arrowhead?
-
-Simply reverse the direction of the path.
-
-path g=((0,0)--(5cm,0));
-draw(reverse(g),Arrow(Relative(0.55)));
-
-File: asy-faq.info, Node: Question 5.3, Next: Question 5.4, Previous: Question 5.2, Up: Section 5
-
-Question 5.3.  How do I change the size of all arrows?
-
-To override the arrowsize you can give every Arrow drawing attribute a
-real size argument. If you want to do this globally, you can override the
-pen-dependent arrowsize function like this:
-
-DefaultHead.size=new real(pen p=currentpen) {return 2mm;};
-
-File: asy-faq.info, Node: Question 5.4, Next: Question 6.1, Previous: Question 5.3, Up: Section 5
-
-Question 5.4.  Can I create other arrowhead styles?
-
-Yes, you can build custom arrowheads like this (see the predefined
-arrowhead styles in plain_arrows.asy for further examples):
-
-arrowhead DotHead;
-DotHead.head=new path(path g, position position=EndPoint, pen p=currentpen,
-                      real size=0, real angle=arrowangle) {
-  if(size == 0) size=DotHead.size(p);
-  bool relative=position.relative;
-  real position=position.position.x;
-  if(relative) position=reltime(g,position);
-  path r=subpath(g,position,0);
-  pair x=point(r,0);
-  real t=arctime(r,size);
-  pair y=point(r,t);
-  return circle(0.5(x+y),0.5size);
-};
-
-size(100);
-draw((0,0)..(1,1)..(2,0),Arrow(DotHead));
-dot((2,0),red);
-If you submit your alternate arrowheads to the Forum or the Patch
-Tracking System, we'll consider including them in a future release.
-
-
-File: asy-faq.info, Node: Section 6, Next: Section 7, Previous: Section 5, Up: Top
-
-Questions about 2D graphs
-
-* Menu:
-* Question 6.1::    How can I draw x axis ticks on the right side, with
-                    the tick labels on the left side (relative to the axis
-                    path)?
-* Question 6.2::    How can I reposition the x axis label to
-                    three-quarters along the axis length?
-* Question 6.3::    How can I move the x axis label down 10bp?
-* Question 6.4::    Can I use different pens for the axis, the axis label,
-                    and the tick labels?
-* Question 6.5::    How can I change the font type of the axes label?
-* Question 6.6::    How can I change the font type of the tick labels on
-                    an axis?
-* Question 6.7::    How can I prevent axes tick labels from rendering on
-                    top of each other?
-* Question 6.8::    How do I make the plot region of a graph, ignoring
-                    labels and legends, have a fixed size?
-* Question 6.9::    How can I plot a function f(x) within [0,1]x[0,2]
-                    without explicitly calculating the x values for which
-                    f(x) hits the boundary?
-* Question 6.10::   Is it possible to define customized palettes?
-* Question 6.11::   Is there an easy way to graph factorial functions
-                    nicely?
-* Question 6.12::   How do I indicate that a certain length should be
-                    exactly the size I prescribe with no rescaling, within
-                    a picture which has its own size?
-* Question 6.13::   How can I make the y axis display base-2 logarithmic
-                    values?
-* Question 6.14::   How can I align the x axes of two graphs on the same
-                    figure?
-* Question 6.15::   How can I change the direction of the y-axis, such
-                    that negatives values are on the upper y-axis?
-* Question 6.16::   How can I fill a path with a function that defines the
-                    color of each location?
-* Question 6.17::   Is there a way to draw a function that is not
-                    explicitly given, such as (y - 2)^2 = x - 1 ?
-* Question 6.18::   Is it possible to reverse or stretch an axis?
-* Question 6.19::   Why can't I use the UnFill option to draw graphs with
-                    empty markers?
-* Question 6.20::   How can I force several images to use the same palette
-                    range (e.g. the entire 0-255 grayscale range)?
-
-
-
-File: asy-faq.info, Node: Question 6.1, Next: Question 6.2, Previous: Question 5.4, Up: Section 6
-
-Question 6.1.  How can I draw x axis ticks on the right side, with the tick labels on the left side (relative to the axis path)?
-
-import graph;
-
-size(250,200,IgnoreAspect);
-
-draw(graph(exp,-1,1),red);
-
-xaxis("$x$",RightTicks(Label(align=left)));
-yaxis("$y$",RightTicks);
-
-File: asy-faq.info, Node: Question 6.2, Next: Question 6.3, Previous: Question 6.1, Up: Section 6
-
-Question 6.2.  How can I reposition the x axis label to three-quarters along the axis length?
-
-import graph;
-
-size(250,200,IgnoreAspect);
-
-draw(graph(exp,-1,1),red);
-
-xaxis(Label("$x$",0.75),LeftTicks);
-yaxis("$y$",RightTicks);
-
-File: asy-faq.info, Node: Question 6.3, Next: Question 6.4, Previous: Question 6.2, Up: Section 6
-
-Question 6.3.  How can I move the x axis label down 10bp?
-
-import graph;
-size(250,200,IgnoreAspect);
-
-draw(graph(exp,-1,1),red);
-
-xaxis(shift(0,-10)*"$x$",LeftTicks);
-yaxis("$y$",RightTicks);
-
-File: asy-faq.info, Node: Question 6.4, Next: Question 6.5, Previous: Question 6.3, Up: Section 6
-
-Question 6.4.  Can I use different pens for the axis, the axis label, and the tick labels?
-
-Yes:
-
-import graph;
-size(300,200,IgnoreAspect);
-
-xlimits(-50,50);
-ylimits(0,100);
-
-xaxis(Label("$x$",MidPoint,red),Bottom,blue,LeftTicks(green));
-yaxis("$y$",Left,RightTicks);
-
-File: asy-faq.info, Node: Question 6.5, Next: Question 6.6, Previous: Question 6.4, Up: Section 6
-
-Question 6.5.  How can I change the font type of the axes label?
-
-import graph;
-size(300,200,IgnoreAspect);
-
-xlimits(-50,50);
-ylimits(0,100);
-
-xaxis("x",Bottom,Courier("m","n"),LeftTicks);
-yaxis("$y$",Left,RightTicks);
-
-File: asy-faq.info, Node: Question 6.6, Next: Question 6.7, Previous: Question 6.5, Up: Section 6
-
-Question 6.6.  How can I change the font type of the tick labels on an axis?
-
-Tick labels are by default typeset in (TeX) math mode, so to use other
-fonts you need to override the default tick format:
-
-import graph;
-size(300,200,IgnoreAspect);
-
-xlimits(-50,50);
-ylimits(0,100);
-
-xaxis("$x$",Bottom,LeftTicks("%.4g",Courier("m","n")+fontsize(12)));
-yaxis("$y$",Left,RightTicks);
-
-File: asy-faq.info, Node: Question 6.7, Next: Question 6.8, Previous: Question 6.6, Up: Section 6
-
-Question 6.7.  How can I prevent axes tick labels from rendering on top of each other?
-
-Either:
-
-(i) give LeftTicks/RightTicks/Ticks the arguments beginlabel=false and/or
-endlabel=false;
-
-(ii) explicitly remove specific ticks and their labels (drawing them
-manually; see
-http://www.github.com/vectorgraphics/asymptote/base/graph.asy for the
-definition of NoZero):
-
-import graph;
-
-size(10cm);
-
-real f(real x) {return x^2;}
- 
-draw(graph(f,-2,2));
-
-xaxis(Ticks(NoZero));
-yaxis(Ticks(NoZero));
-
-label("$0$",(0,0),SW);
-(iii) explicitly remove specific tick labels and draw them manually (see
-http://www.github.com/vectorgraphics/asymptote/base/graph.asy for the
-definition of NoZeroFormat):
-
-import graph;
-
-size(10cm);
-
-real f(real x) {return x^2;}
- 
-draw(graph(f,-2,2));
-
-xaxis(Ticks(NoZeroFormat));
-yaxis(Ticks(NoZeroFormat));
-
-label("$0$",(0,0),SW);
-(iv) use the xasy GUI to move overlapping labels;
-
-(v) change the Label argument of LeftTicks, RightTicks, or Ticks to:
-
-Label(currentpen+overwrite(Move))
-Solution (v) will move labels that might otherwise overwrite a previous
-label. Other possible overwrite arguments are Allow (allows overlapping
-labels; the default), Suppress (an overlapping label will not be written
-at all), SuppressQuiet, and MoveQuiet. The last two achieve the same
-result as the non-quiet types, but will not notify you which labels are
-overlapping. See:  http://asymptote.sourceforge.net/doc/Pens.html.
-
-In the case of a user-specified tick array, you can change which labels
-get suppressed/moved by changing the order of array entries.
-
-
-File: asy-faq.info, Node: Question 6.8, Next: Question 6.9, Previous: Question 6.7, Up: Section 6
-
-Question 6.8.  How do I make the plot region of a graph, ignoring labels and legends, have a fixed size?
-
-Either:
-
-i) Specify an explicit unitsize, which overrides any call to size:
-unitsize(x=1cm,y=2cm);
-ii) Explicitly tell Asymptote to map the plot region to a specific size:
-import graph;
-real[] x={0,1,2,3};
-real[] y=x^2;
-draw(graph(x,y),red);
-xaxis("$x$",BottomTop,LeftTicks);
-yaxis("$y$",LeftRight,RightTicks);
-
-size(5cm,5cm,point(SW),point(NE));
-
-label("$f_\mathrm{T}$",point(N),2N);
-iii) Specify the points in user coordinates that should correspond to a
-given picture size:
-
-import graph;
-
-size(250,200,IgnoreAspect);
-
-draw(graph(exp,-1,1),red);
-
-xaxis("$x$",BottomTop,LeftTicks);
-yaxis("$y$",LeftRight,RightTicks);
-
-fixedscaling((-1.5,-0.5),(1.5,3.5));
-In this example, the user coordinate (-1.5,-0.5) will end up being the
-lower left corner of the figure and (1.5,3.5) will be the upper right
-corner. You can use this option to ensure multiple figures have the same
-scaling and same resulting figure size (just ensure the two coordinates
-given to fixedscaling() leaves room for any labels).
-
-See also http://asymptote.sourceforge.net/doc/Frames-and-pictures.html.
-
-
-File: asy-faq.info, Node: Question 6.9, Next: Question 6.10, Previous: Question 6.8, Up: Section 6
-
-Question 6.9.  How can I plot a function f(x) within [0,1]x[0,2] without explicitly calculating the x values for which f(x) hits the boundary?
-
-Call limits with the Crop option before drawing the graph:
-import graph;
-
-size(250,200,IgnoreAspect);
-
-draw(graph(exp,-1,1),red);
-
-limits((0,0),(1,2),Crop);
-
-xaxis("$x$",BottomTop,LeftTicks);
-yaxis("$y$",LeftRight,RightTicks);
-See also http://asymptote.sourceforge.net/doc/graph.html.
-
-
-File: asy-faq.info, Node: Question 6.10, Next: Question 6.11, Previous: Question 6.9, Up: Section 6
-
-Question 6.10.  Is it possible to define customized palettes?
-
-Yes, you may generate your own pen[] array. For example:
-
-int NColors=32768;
-pen[] MyPalette=new pen[NColors];
-real step=1/(NColors-1.0);
-// Start at black: rgb(0,0,0) 
-// End at yellow: rgb(1,1,0) 
-for(int i=0; i < NColors; ++i) { 
-  real rgval=i*step;
-  MyPalette[i]=rgb(rgval,rgval,0.0);
-} 
-
-File: asy-faq.info, Node: Question 6.11, Next: Question 6.12, Previous: Question 6.10, Up: Section 6
-
-Question 6.11.  Is there an easy way to graph factorial functions nicely?
-
-The example below shows a continuous function and two methods for placing
-markers at integer values of x:
-
-import graph;
- 
-size(200,200,IgnoreAspect);
- 
-real factorial(real t) {return gamma(t+1);} 
- 
-scale(Linear,Log);
- 
-// Graph the factorial function.
-draw(graph(factorial,0,10));
- 
-// Method 1: Draw nodes, but hide line
-pair F(int t) {return (t,factorial(t));} 
-// Graph of factorial function from 0 to 10
-pair[] z=sequence(F,11);
-draw(graph(z),invisible,marker(scale(0.8mm)*unitcircle,blue,Fill));
- 
-// Method 2: Nongraphing routines require explicit scaling:
-pair dotloc(int t) {return Scale(F(t));} 
-pair[] dotlocs=sequence(dotloc,11);
-dot(dotlocs);
- 
-xaxis("$x$",BottomTop,LeftTicks);
-yaxis("$y$",LeftRight,RightTicks);
-
-File: asy-faq.info, Node: Question 6.12, Next: Question 6.13, Previous: Question 6.11, Up: Section 6
-
-Question 6.12.  How do I indicate that a certain length should be exactly the size I prescribe with no rescaling, within a picture which has its own size?
-
-Here's an easy way to do this.
-
-size(12cm,0);
- 
-void distance(picture pic=currentpicture, pair A, pair B, Label L="", real n=0,
-              pen p=currentpen) 
-{
-  real d=3mm;
-  path g=A--B;
-  transform T=shift(-n*d*unit(B-A)*I);
-  pic.add(new void(frame f, transform t) {
-    picture opic;
-    path G=T*t*g;
-    draw(opic,Label(L,Center,UnFill(1)),G,p,Arrows(NoFill),Bars,PenMargins);
-    add(f,opic.fit());
-  });
-  pic.addBox(min(g),max(g),T*min(p),T*max(p));
-} 
- 
-pair A=(0,0), B=(3,3);
- 
-dot(A);
-dot(B);
- 
-distance(A,B,"$\ell$",1);
-
-File: asy-faq.info, Node: Question 6.13, Next: Question 6.14, Previous: Question 6.12, Up: Section 6
-
-Question 6.13.  How can I make the y axis display base-2 logarithmic values?
-
-See the example http://asymptote.sourceforge.net/gallery/2D
-graphs/log2graph.asy.
-
-
-File: asy-faq.info, Node: Question 6.14, Next: Question 6.15, Previous: Question 6.13, Up: Section 6
-
-Question 6.14.  How can I align the x axes of two graphs on the same figure?
-
-An easy way to do this, if the axes to be aligned have the same scaling
-and size, is illustrated in the example
-http://asymptote.sourceforge.net/gallery/2D graphs/alignedaxis.asy.
-
-Here is a more general solution to the problem of aligning two arbitrary
-axes.  One fits the second picture to a frame based on the horizontal
-scaling for the first picture:
-
-import graph;
-
-real width=15cm;
-real aspect=0.3;
-
-picture pic1,pic2;
-
-size(pic1,width,aspect*width,IgnoreAspect);
-size(pic2,width,aspect*width,IgnoreAspect);
-
-scale(pic1,false);
-scale(pic2,false);
-
-real xmin1=6;
-real xmax1=9;
-real xmin2=8;
-real xmax2=16;
-
-real a1=1;
-real a2=0.001;
-
-real f1(real x) {return a1*sin(x/2*pi);}
-real f2(real x) {return a2*sin(x/4*pi);}
-
-draw(pic1,graph(pic1,f1,xmin1,xmax1));
-draw(pic2,graph(pic2,f2,xmin2,xmax2));
-
-xaxis(pic1,Bottom,LeftTicks());
-yaxis(pic1,"$f_1(x)$",Left,RightTicks);
-
-xaxis(pic2,"$x$",Bottom,LeftTicks(Step=4));
-yaxis(pic2,"$f_2(x)$",Left,RightTicks);
-
-yequals(pic1,0,Dotted);
-yequals(pic2,0,Dotted);
-
-pair min1=point(pic1,SW);
-pair max1=point(pic1,NE);
-
-pair min2=point(pic2,SW);
-pair max2=point(pic2,NE);
-
-real scale=(max1.x-min1.x)/(max2.x-min2.x);
-real shift=min1.x/scale-min2.x;
-
-transform t1=pic1.calculateTransform();
-transform t2=pic2.calculateTransform();
-transform T=xscale(scale*t1.xx)*yscale(t2.yy);
-
-add(pic1.fit());
-real height=truepoint(N,user=false).y-truepoint(S,user=false).y;
-add(shift(0,-height)*(shift(shift)*pic2).fit(T));
-
-File: asy-faq.info, Node: Question 6.15, Next: Question 6.16, Previous: Question 6.14, Up: Section 6
-
-Question 6.15.  How can I change the direction of the y-axis, such that negatives values are on the upper y-axis?
-
-Here is a simple example (see also the example
-http://asymptote.sourceforge.net/gallery/2D graphs/diatom.asy or the
-discussion of Linear(-1) in the documentation):
-
-import graph;
-size(250,200,IgnoreAspect);
-
-scale(Linear,Linear(-1));
-
-draw(graph(log,0.1,10),red);
-
-xaxis("$x$",LeftTicks);
-yaxis("$y$",RightTicks);
-
-File: asy-faq.info, Node: Question 6.16, Next: Question 6.17, Previous: Question 6.15, Up: Section 6
-
-Question 6.16.  How can I fill a path with a function that defines the color of each location?
-
-Use functionshade with a PDF tex engine, as illustrated by the example
-{functionshading.asy}.
-
-If you want to produce PostScript output, an approximate solution for now
-would be to superimpose a fine grid and specify colors to  latticeshade
-that depend on position as a single pen[][] lattice. Alternatively, it may
-be more efficient to use tensorshade}.
-
-
-File: asy-faq.info, Node: Question 6.17, Next: Question 6.18, Previous: Question 6.16, Up: Section 6
-
-Question 6.17.  Is there a way to draw a function that is not explicitly given, such as (y - 2)^2 = x - 1 ?
-
-Yes, use the parametric form
-
-y=t 
-x=(t-2)^2+1 
-See the example http://asymptote.sourceforge.net/gallery/2D
-graphs/parametricgraph.asy.
-
-
-File: asy-faq.info, Node: Question 6.18, Next: Question 6.19, Previous: Question 6.17, Up: Section 6
-
-Question 6.18.  Is it possible to reverse or stretch an axis?
-
-The real scaling argument to Linear is used to stretch (or reverse) the
-axis.  To see the effect of axis stretching, be sure not to specify
-IgnoreAspect in  the picture size command.
-
-A secondary axis has the same length as the primary axis, so stretching
-cannot  have any effect. But one can still reverse the axis, with
-Linear(-1).
-
-
-File: asy-faq.info, Node: Question 6.19, Next: Question 6.20, Previous: Question 6.18, Up: Section 6
-
-Question 6.19.  Why can't I use the UnFill option to draw graphs with empty markers?
-
-UnFill won't work here because it only affects the local frame the markers
-are initially drawn on, before being added to currentpicture.  Here is a
-way of achieving the desired effect (assuming a white background):
-
-import graph;
-size(10cm,0);
-pair[] z={(0,0),(0.5,0.5),(1,1)};
-path g=graph(z);
- 
-draw(shift(0,.5)*g,marker(scale(5)*unitcircle,FillDraw(white)));
- 
-xaxis(BottomTop,LeftTicks);
-yaxis(LeftRight,RightTicks);
-
-File: asy-faq.info, Node: Question 6.20, Next: Question 7.1, Previous: Question 6.19, Up: Section 6
-
-Question 6.20.  How can I force several images to use the same palette range (e.g. the entire 0-255 grayscale range)?
-
-The palette color space corresponds to a range of values specified by the
-argument range, which can be Full, Automatic or an explicit range
-Range(pair min, pair max). Here Full} specifies a range varying from the
-minimum to maximum values of the function over the sampling interval,
-while Automatic selects "nice" limits.
-
-
-File: asy-faq.info, Node: Section 7, Next: Section 8, Previous: Section 6, Up: Top
-
-Questions about programming
-
-* Menu:
-* Question 7.1::    Is Asymptote an interpreter or a compiler?
-* Question 7.2::    What is the difference between a frame and a picture?
-* Question 7.3::    What is the difference between a path and a guide?
-* Question 7.4::    What is a convenient way to declare and initialize an
-                    array of pictures?
-* Question 7.5::    Is there a way to define functions that act on arrays
-                    in general (i.e. work for arrays of any type)?
-* Question 7.6::    Is there any way to declare structures ahead of their
-                    definition, e.g. where struct A performs some
-                    operation on struct B, but B contains an A member?
-* Question 7.7::    Where are static variables in for loops allocated?
-* Question 7.8::    Is there a debugger for asy?
-* Question 7.9::    Do you accept patches for Asymptote?
-
-
-
-File: asy-faq.info, Node: Question 7.1, Next: Question 7.2, Previous: Question 6.20, Up: Section 7
-
-Question 7.1.  Is Asymptote an interpreter or a compiler?
-
-Asymptote compiles Asymptote commands into its own virtual machine code.
-It  then runs this pseudocode on a virtual machine to produce PostScript
-code.
-
-
-File: asy-faq.info, Node: Question 7.2, Next: Question 7.3, Previous: Question 7.1, Up: Section 7
-
-Question 7.2.  What is the difference between a frame and a picture?
-
-Frames are canvases for drawing in PostScript coordinates. While working
-with frames directly is occasionally necessary for constructing deferred
-drawing routines, pictures are usually more convenient to work with.  See
-*Note Question 8.8:: `In MetaPost, it is possible to have a drawing remain
-the same size in different pictures by defining a unit u and explicitly
-multiply all the coordinates by u. Is there a better way to do this in
-Asymptote?'.
-
-
-File: asy-faq.info, Node: Question 7.3, Next: Question 7.4, Previous: Question 7.2, Up: Section 7
-
-Question 7.3.  What is the difference between a path and a guide?
-
-A path is a cubic spline with fixed endpoint conditions.
-
-A guide is an unresolved cubic spline (list of cubic-spline nodes and
-control points). A guide is like a path except that the computation of the
-cubic spline is deferred until drawing time (when it is resolved into a
-path); this allows two guides with free endpoint conditions to be joined
-together smoothly.
-
-
-File: asy-faq.info, Node: Question 7.4, Next: Question 7.5, Previous: Question 7.3, Up: Section 7
-
-Question 7.4.  What is a convenient way to declare and initialize an array of pictures?
-
-You could write yourself a routine such as:
-picture[] picture(int n) { 
-  picture[] pic;
-  for(int i=0; i < n; ++i) { 
-    pic[i]=new picture;
-    size(pic[i],19cm,0);
-  } 
-  return pic;
-} 
- 
-picture[] pic=picture(6);
-
-File: asy-faq.info, Node: Question 7.5, Next: Question 7.6, Previous: Question 7.4, Up: Section 7
-
-Question 7.5.  Is there a way to define functions that act on arrays in general (i.e. work for arrays of any type)?
-
-Generic types aren't yet implemented.
-
-But for now you can at least say
-typedef string T;
-include F;
- 
-typedef real T;
-include F;
-where F.asy contains some type-dependent code like
-T[] operator $(T A, T B) {return new T[] {A,B};}
-
-File: asy-faq.info, Node: Question 7.6, Next: Question 7.7, Previous: Question 7.5, Up: Section 7
-
-Question 7.6.  Is there any way to declare structures ahead of their definition, e.g. where struct A performs some operation on struct B, but B contains an A member?
-
-Asymptote does not support forward declaration of types. You can, however,
-nest structures, so that both types are visible for parts of the bodies of
-both structure definitions. For example:
-
-struct B { 
-  typedef void someroutine(B b);
- 
-  static struct A { 
-    someroutine routine;
-    void operator init(someroutine routine) { 
-      this.routine=routine;
-    } 
-  } 
- 
-  string test="Testing";
-} 
- 
-typedef B.A A;
- 
-A a=B.A(new void(B b){write(b.test);});
- 
-B b;
-a.routine(b);
-
-File: asy-faq.info, Node: Question 7.7, Next: Question 7.8, Previous: Question 7.6, Up: Section 7
-
-Question 7.7.  Where are static variables in for loops allocated?
-
-In the example
-
-void f() { 
-  for(int i=0; i < 3; ++i) { 
-    static int n;
-    ++n;
-    write(n);
-  }
-} 
-
-f(); // Writes 1, 2, 3
-the static qualifier means that n is allocated not just outside of the for
-loop, but also outside the function. This is clear if you call  f multiple
-times; there is still only one instance of n.
-
-The "level" of a variable (where it is allocated) has nothing to do with
-the "scope" of a variable (how long it can be referred to by name).  The
-curly braces enclosing a block affect only a variable's scope, not its
-level.
-
-Static modifiers are meaningless at the top level; they generate a warning
-and are simply ignored:
-
-for(int i=0; i < 3; ++i) { 
-  static int n;
-  ++n;
-  write(n);
-}
-// Writes warning about top-level static modifier and then 1, 1, 1
-Since version 1.22, non-static variables allocated in a loop body are
-allocated anew every iteration.  This is only noticable in obscure cases
-where a variable in a loop is accessed in the closure of a function
-defined in the loop:
-
-int f();
- 
-for(int i=0; i < 10; ++i) { 
-  int j=10*i;
-  if(i == 5)
-    f=new int() {return j;};
-} 
- 
-write(f()); // Writes 50
-Variables in the body of a loop last as long as that iteration of the
-loop, unless they are kept alive by a function closure as in the example
-above.  In a function body, variables will last at least as long as the
-function call, though because of closures and garbage collection, they may
-last longer than that.  If defined at the top level of a file or at the
-interactive prompt, they will last at least until the end of the file or
-prompt's run.
-
-
-File: asy-faq.info, Node: Question 7.8, Next: Question 7.9, Previous: Question 7.7, Up: Section 7
-
-Question 7.8.  Is there a debugger for asy?
-
-Yes, Asymptote includes a line-based debugger:
-
-http://asymptote.sourceforge.net/doc/Debugger.html
-
-
-File: asy-faq.info, Node: Question 7.9, Next: Question 8.1, Previous: Question 7.8, Up: Section 7
-
-Question 7.9.  Do you accept patches for Asymptote?
-
-Yes, in fact we would prefer that users submit patches for customized
-features (to http://sourceforge.net/tracker/?atid=685685&group_id=120000)
-instead of relying on us to do all of the coding. Development will proceed
-faster that way.
-
-
-File: asy-faq.info, Node: Section 8, Next: Section 9, Previous: Section 7, Up: Top
-
-Questions about differences between Asymptote and MetaPost
-
-* Menu:
-* Question 8.1::    What is the equivalent of the MetaPost c[a,b]
-                    interpolation operator?
-* Question 8.2::    How does picture scaling differ in Asymptote and
-                    MetaPost?
-* Question 8.3::    How can I avoid automatic scaling of a picture?
-* Question 8.4::    What is the equivalent of MetaPost ... command?
-* Question 8.5::    What is the equivalent of the MetaPost pickup command?
-* Question 8.6::    What is the equivalent of the MetaPost whatever
-                    command?
-* Question 8.7::    What is the equivalent for the MetaPost command for
-                    lray - horiz*v - verti*u = whatever*(LightSource - R),
-                    a system of three linear equations for three unknowns:
-                    horiz, verti, whatever?
-* Question 8.8::    In MetaPost, it is possible to have a drawing remain
-                    the same size in different pictures by defining a unit
-                    u and explicitly multiply all the coordinates by u. Is
-                    there a better way to do this in Asymptote?
-* Question 8.9::    In MetaPost, one could produce tiling pictures by
-                    generating a picture, and then clipping the picture to
-                    a rectangle of fixed dimensions around the center of
-                    the picture. How is that done in Asymptote?
-
-
-
-File: asy-faq.info, Node: Question 8.1, Next: Question 8.2, Previous: Question 7.9, Up: Section 8
-
-Question 8.1.  What is the equivalent of the MetaPost c[a,b] interpolation operator?
-
-interp(a,b,c);
-
-File: asy-faq.info, Node: Question 8.2, Next: Question 8.3, Previous: Question 8.1, Up: Section 8
-
-Question 8.2.  How does picture scaling differ in Asymptote and MetaPost?
-
-Asymptote includes an optional facility to do automatic scaling of
-pictures to achieve a given overall picture size, whereas Metapost only
-supports manual scaling. Asymptote defers drawing of objects drawn to
-pictures and distinguishes between true-size objects and objects that
-should scale with the picture size. The resulting linear programming
-problem is solved via the Simplex method.
-
-See the http://asymptote.sourceforge.net/gallery/dimension.asy example for
-an example of how deferred drawing is used to accomodate both user and
-true-size (PostScript) coordinates.
-
-
-File: asy-faq.info, Node: Question 8.3, Next: Question 8.4, Previous: Question 8.2, Up: Section 8
-
-Question 8.3.  How can I avoid automatic scaling of a picture?
-
-If you really like Metapost-style manual (hard-wired) scaling either:
-
-(i) use the default size(0,0) for the entire picture and do all of the
-scaling by hand, just like in MetaPost;
-
-(ii) draw to a separate picture pic and add(pic.fit());
-
-(iii) use frames.
-
-
-File: asy-faq.info, Node: Question 8.4, Next: Question 8.5, Previous: Question 8.3, Up: Section 8
-
-Question 8.4.  What is the equivalent of MetaPost ... command?
-
-The connector :: is a macro for tension atleast 1:
-
-size(100);
-pair z0=(0,0);
-pair z1=(1,0.25);
-pair z2=(2,0);
-draw(z0{up}::z1{right}::z2{down});
-
-File: asy-faq.info, Node: Question 8.5, Next: Question 8.6, Previous: Question 8.4, Up: Section 8
-
-Question 8.5.  What is the equivalent of the MetaPost pickup command?
-
-Just say, for example:
-
-currentpen=red;
-
-File: asy-faq.info, Node: Question 8.6, Next: Question 8.7, Previous: Question 8.5, Up: Section 8
-
-Question 8.6.  What is the equivalent of the MetaPost whatever command?
-
-Asymptote does not implicitly solve linear equations and therefore does
-not have the notion of a whatever unknown. Such a facility could certainly
-be added (perhaps using the notation ?= since = means assignment).
-However, the most common uses of whatever in MetaPost are covered by
-functions like extension in math.asy:
-pair extension(pair P, pair Q, pair p, pair q);
-this returns the intersection point of the extensions of the line segments
-PQ and pq. We find using routines like extension more explicit and less
-confusing to new users. But we could be persuaded to add something similar
-if someone can justify the need. In the meantime, one can always use the
-explicit built-in linear solver solve (see
-http://asymptote.sourceforge.net/doc/solve.html), which uses LU
-decomposition.
-
-
-File: asy-faq.info, Node: Question 8.7, Next: Question 8.8, Previous: Question 8.6, Up: Section 8
-
-Question 8.7.  What is the equivalent for the MetaPost command for lray - horiz*v - verti*u = whatever*(LightSource - R), a system of three linear equations for three unknowns: horiz, verti, whatever?
-
-Since horiz*v+verti*u spans a plane, you could use
-real intersect(vector P, vector Q, vector n, vector Z);
-to find the intersection time for the line  lray-whatever*(LightSource -
-R) and then extract the three desired values from there. (You'll still
-need to use the built-in explicit linear solver to solve a 2x2 system to
-get  horiz and verti.)
-
-
-File: asy-faq.info, Node: Question 8.8, Next: Question 8.9, Previous: Question 8.7, Up: Section 8
-
-Question 8.8.  In MetaPost, it is possible to have a drawing remain the same size in different pictures by defining a unit u and explicitly multiply all the coordinates by u. Is there a better way to do this in Asymptote?
-
-Yes, Asymptote has a better way: you definitely don't want to manually
-scale  all of your coordinates. To make the user coordinates represent
-multiples of exactly 1cm:
-
-unitsize(1cm);
-draw(unitsquare);
-One can also specify different x and y unit sizes:
-
-unitsize(x=1cm,y=2cm);
-draw(unitsquare);
-Another way is to draw your fixed size object to a frame and add it to
-currentpicture like this:
-
-path p=(0,0)--(1,0);
-frame object;
-draw(object,scale(100)*p);
- 
-add(object);
-add(object,(0,-10));
-To understand the difference between frames and pictures, try this:
-
-size(300,300);
- 
-path p=(0,0)--(1,0);
-picture object;
-draw(object,scale(100)*p);
- 
-add(object);
-add(object,(0,-10)); // Adds truesize object to currentpicture 
-
-File: asy-faq.info, Node: Question 8.9, Next: Question 9.1, Previous: Question 8.8, Up: Section 8
-
-Question 8.9.  In MetaPost, one could produce tiling pictures by generating a picture, and then clipping the picture to a rectangle of fixed dimensions around the center of the picture. How is that done in Asymptote?
-
-If you are using currentpicture the way one would in MetaPost (drawing in
-raw PostScript coordinates), you can simply do something like:
-
-fill((0,0)--(100,100)--(200,0)--cycle);
- 
-pair center(picture pic=currentpicture) {return 0.5*(pic.min()+pic.max());} 
- 
-real height=100;
-real width=100;
-pair delta=0.5(width,height);
-pair c=center();
-clip(box(c-delta,c+delta));
-However, drawing in PostScript coordinates is often inconvenient. Here's
-the  Asymptote way of doing the same thing, using deferred drawing:
-
-size(200,100);
-fill((0,0)--(1,1)--(2,0)--cycle);
- 
-void clip(picture pic=currentpicture, real width, real height) 
-{
-  pic.clip(new void (frame f, transform) { 
-    pair center=0.5(min(f)+max(f));
-    pair delta=0.5(width,height);
-    clip(f,box(center-delta,center+delta));
-  });
-} 
- 
-clip(100,100);
-See also the discussion of tilings in the documentation:
-http://asymptote.sourceforge.net/doc/Pens.html.
-
-
-File: asy-faq.info, Node: Section 9, Previous: Section 8, Up: Top
-
-Questions about output
-
-* Menu:
-* Question 9.1::    How can I disable automatic invocation of the PS
-                    viewer after an asy file is done processing?
-* Question 9.2::    How do I output jpeg images?
-* Question 9.3::    Can I embed bitmaps (photos) into my drawings and
-                    position and scale them?
-* Question 9.4::    Does Asymptote support direct PDF output?
-* Question 9.5::    How to I produce large pictures of high quality in
-                    raster format (e.g. png, giff etc).
-* Question 9.6::    Is it possible to produce multi-page documents with
-                    asymptote?
-
-
-
-File: asy-faq.info, Node: Question 9.1, Next: Question 9.2, Previous: Question 8.9, Up: Section 9
-
-Question 9.1.  How can I disable automatic invocation of the PS viewer after an asy file is done processing?
-
-It's actually not on by default, unless you happen to be using Microsoft
-Windows (because that is what most Microsoft Windows users expect).
-Microsoft Windows users can turn this feature off with the command-line
-option -noV or by putting
-
-import settings;
-interactiveView=false;
-batchView=false;
-in their config.asy file. See
-http://asymptote.sourceforge.net/doc/Options.html.
-
-
-File: asy-faq.info, Node: Question 9.2, Next: Question 9.3, Previous: Question 9.1, Up: Section 9
-
-Question 9.2.  How do I output jpeg images?
-
-If you have the ImageMagick convert program installed, simply type
-
-asy -f jpg test.asy 
-
-File: asy-faq.info, Node: Question 9.3, Next: Question 9.4, Previous: Question 9.2, Up: Section 9
-
-Question 9.3.  Can I embed bitmaps (photos) into my drawings and position and scale them?
-
-Convert them to eps format and use the graphic(string) function just like
-a Label:
-
-label(graphic("file"),(0,0));
-See the example http://asymptote.sourceforge.net/gallery/orthocenter.asy
-and http://asymptote.sourceforge.net/doc/label.html.
-
-
-File: asy-faq.info, Node: Question 9.4, Next: Question 9.5, Previous: Question 9.3, Up: Section 9
-
-Question 9.4.  Does Asymptote support direct PDF output?
-
-Yes, PDF output can be produced by the -f pdf option or -tex pdflatex
-option.  This supports transparency, annotations, embedded movies, and
-U3D/PRC content.
-
-
-File: asy-faq.info, Node: Question 9.5, Next: Question 9.6, Previous: Question 9.4, Up: Section 9
-
-Question 9.5.  How to I produce large pictures of high quality in raster format (e.g. png, giff etc).
-
-Try using some of the options to convert, mainly -geometry and -density.
-For example:
-convert -geometry 1000x3000 example.eps example.png 
-You can also change the default resolution of the image with:
-convert -geometry 1000x3000 -density 300 -units PixelsPerInch example.eps example.png 
-This does not change the number of pixels in the image, but just gives a
-hint  as to how large each pixel should be displayed.
-
-If you include the -density option without the -geometry option, convert
-will  keep the image size constant (so a 4cm x 3cm eps figure will
-generate a 4cm x 3cm png  image).
-
-
-File: asy-faq.info, Node: Question 9.6, Previous: Question 9.5, Up: Section 9
-
-Question 9.6.  Is it possible to produce multi-page documents with asymptote?
-
-Yes, simply call the newpage() function. This is used by the slide.asy
-package to produce high-quality slide presentations (easier to use than
-Prosper).
-
diff --git a/Build/source/utils/asymptote/doc/TeXShopAndAsymptote.pdf b/Build/source/utils/asymptote/doc/TeXShopAndAsymptote.pdf
deleted file mode 100644
index 73c874c90a7..00000000000
--- a/Build/source/utils/asymptote/doc/TeXShopAndAsymptote.pdf
+++ /dev/null
diff --git a/Build/source/utils/asymptote/doc/asy-latex.pdf b/Build/source/utils/asymptote/doc/asy-latex.pdf
deleted file mode 100644
index 458739be2aa..00000000000
--- a/Build/source/utils/asymptote/doc/asy-latex.pdf
+++ /dev/null
diff --git a/Build/source/utils/asymptote/doc/asy.1 b/Build/source/utils/asymptote/doc/asy.1
deleted file mode 100644
index e8fbc42290d..00000000000
--- a/Build/source/utils/asymptote/doc/asy.1
+++ /dev/null
@@ -1,300 +0,0 @@
-.\"                                      Hey, EMACS: -*- nroff -*-
-.TH ASY 1 "1 Dec 2004"
-.SH NAME
-asy \- Asymptote: a script-based vector graphics language
-.SH SYNOPSIS
-.B asy
-.RI [ options ]
-.RI [ file \ ...]
-.SH DESCRIPTION
-\fBAsymptote\fP is a powerful descriptive vector graphics language for
-technical drawings, inspired by MetaPost but with an improved C++-like syntax.
-Asymptote provides for figures the same high-quality level of typesetting that
-LaTeX does for scientific text.
-.SH OPTIONS
-If no arguments are given, Asymptote runs in interactive mode.
-.PP
-If "\-" is given as the file argument, Asymptote reads from standard input.
-.PP
-A summary of options is included below. The effect of most options
-can be negated by prepending 
-.B no
-to the option name. 
-Default values for most options may also be entered in the 
-file 
-.B .asy/config.asy
-in the user's home directory using the long form:
-.PP
-     import settings;
-     batchView=true;
-.PP
-For a complete
-description, see the Info files.
-.TP
-.B \-V,\-View             
-View output; command-line only.
-.TP
-.B \-a,\-align C|B|T|Z    
-Center, Bottom, Top, or Zero page alignment [C].
-.TP
-.B \-aligndir pair       
-Directional page alignment (overrides align) [(0,0)].
-.TP
-.B \-antialias n         
-Antialiasing width for rasterized output [2].
-.TP
-.B \-arcballradius pixels
-Arcball radius [750].
-.TP
-.B \-auto3D              
-Automatically activate 3D scene [true].
-.TP
-.B \-autobillboard       
-3D labels always face viewer by default [true].
-.TP
-.B \-autoimport string   
-Module to automatically import.
-.TP
-.B \-autoplain           
-Enable automatic importing of plain [true].
-.TP
-.B \-autoplay            
-Autoplay 3D animations [false].
-.TP
-.B \-autorotate          
-Enable automatic PDF page rotation [false].
-.TP
-.B \-axes3               
-Show 3D axes in PDF output [true].
-.TP
-.B \-batchMask           
-Mask fpu exceptions in batch mode [false].
-.TP
-.B \-batchView           
-View output in batch mode [false].
-.TP
-.B \-bw                  
-Convert all colors to black and white [false].
-.TP
-.B \-cd directory        
-Set current directory; command-line only.
-.TP
-.B \-cmyk                
-Convert rgb colors to cmyk [false].
-.TP
-.B \-c,\-command string   
-Command to autoexecute.
-.TP
-.B \-compact             
-Conserve memory at the expense of speed [false].
-.TP
-.B \-d,\-debug            
-Enable debugging messages [false].
-.TP
-.B \-divisor n           
-Garbage collect using purge(divisor=n) [2].
-.TP
-.B \-doubleclick ms      
-Emulated double-click timeout [200].
-.TP
-.B \-embed               
-Embed rendered preview image [true].
-.TP
-.B \-exitonEOF           
-Exit interactive mode on EOF [true].
-.TP
-.B \-fitscreen           
-Fit rendered image to screen [true].
-.TP
-.B \-framedelay ms       
-Additional frame delay [0].
-.TP
-.B \-framerate frames/s  
-Animation speed [30].
-.TP
-.B \-globalwrite         
-Allow write to other directory [false].
-.TP
-.B \-gray                
-Convert all colors to grayscale [false].
-.TP
-.B \-h,\-help             
-Show summary of options; command-line only.
-.TP
-.B \-historylines n      
-Retain n lines of history [1000].
-.TP
-.B \-iconify             
-Iconify rendering window [false].
-.TP
-.B \-inlineimage         
-Generate inline embedded image [false].
-.TP
-.B \-inlinetex           
-Generate inline TeX code [false].
-.TP
-.B \-interactiveMask     
-Mask fpu exceptions in interactive mode [true].
-.TP
-.B \-interactiveView     
-View output in interactive mode [true].
-.TP
-.B \-interactiveWrite    
-Write expressions entered at the prompt to stdout [true].
-.TP
-.B \-k,\-keep             
-Keep intermediate files [false].
-.TP
-.B \-keepaux             
-Keep intermediate LaTeX .aux files [false].
-.TP
-.B \-level n             
-Postscript level [3].
-.TP
-.B \-l,\-listvariables    
-List available global functions and variables [false].
-.TP
-.B \-localhistory        
-Use a local interactive history file [false].
-.TP
-.B \-loop                
-Loop 3D animations [false].
-.TP
-.B \-m,\-mask             
-Mask fpu exceptions; command-line only.
-.TP
-.B \-maxtile pair        
-Maximum rendering tile size [(1024,768)].
-.TP
-.B \-maxviewport pair    
-Maximum viewport size [(2048,2048)].
-.TP
-.B \-multiline           
-Input code over multiple lines at the prompt [false].
-.TP
-.B \-multipleView        
-View output from multiple batch-mode files [false].
-.TP
-.B \-multisample n       
-Multisampling width for screen images [4].
-.TP
-.B \-offscreen           
-Use offscreen rendering [false].
-.TP
-.B \-O,\-offset pair      
-PostScript offset [(0,0)].
-.TP
-.B \-f,\-outformat format 
-Convert each output file to specified format.
-.TP
-.B \-o,\-outname name     
-Alternative output directory/filename.
-.TP
-.B \-p,\-parseonly        
-Parse file [false].
-.TP
-.B \-pdfreload           
-Automatically reload document in pdfviewer [false].
-.TP
-.B \-pdfreloaddelay usec 
-Delay before attempting initial pdf reload [750000].
-.TP
-.B \-position pair       
-Initial 3D rendering screen position [(0,0)].
-.TP
-.B \-prc                 
-Embed 3D PRC graphics in PDF output [true].
-.TP
-.B \-prompt string       
-Prompt [> ].
-.TP
-.B \-prompt2 string      
-Continuation prompt for multiline input  [..].
-.TP
-.B \-q,\-quiet            
-Suppress welcome text and noninteractive stdout [false].
-.TP
-.B \-render n            
-Render 3D graphics using n pixels per bp (-1=auto) [-1].
-.TP
-.B \-resizestep step     
-Resize step [1.2].
-.TP
-.B \-reverse             
-reverse 3D animations [false].
-.TP
-.B \-rgb                 
-Convert cmyk colors to rgb [false].
-.TP
-.B \-safe                
-Disable system call [true].
-.TP
-.B \-scroll n            
-Scroll standard output n lines at a time [0].
-.TP
-.B \-spinstep deg/s      
-Spin speed [60].
-.TP
-.B \-svgemulation        
-Emulate unimplemented SVG shading [false].
-.TP
-.B \-tabcompletion       
-Interactive prompt auto-completion [true].
-.TP
-.B \-tex engine          
-latex|pdflatex|xelatex|lualatex|tex|pdftex|luatex|context|none [latex].
-.TP
-.B \-thick               
-Render thick 3D lines [true].
-.TP
-.B \-thin                
-Render thin 3D lines [true].
-.TP
-.B \-threads             
-Use POSIX threads for 3D rendering [true].
-.TP
-.B \-toolbar             
-Show 3D toolbar in PDF output [true].
-.TP
-.B \-s,\-translate        
-Show translated virtual machine code [false].
-.TP
-.B \-twice               
-Run LaTeX twice (to resolve references) [false].
-.TP
-.B \-twosided            
-Use two-sided 3D lighting model for rendering [true].
-.TP
-.B \-u,\-user string      
-General purpose user string.
-.TP
-.B \-v,\-verbose          
-Increase verbosity level (can specify multiple times) [0].
-.TP
-.B \-version             
-Show version; command-line only.
-.TP
-.B \-wait                
-Wait for child processes to finish before exiting [false].
-.TP
-.B \-warn string         
-Enable warning; command-line only.
-.TP
-.B \-where               
-Show where listed variables are declared [false].
-.TP
-.B \-zoomfactor factor   
-Zoom step factor [1.05].
-.TP
-.B \-zoomstep step       
-Mouse motion zoom step [0.1].
-
-.SH SEE ALSO
-Asymptote is documented fully in the asymptote Info page.
-The manual can also be accessed in interactive mode with the "help" command.
-
-.SH AUTHOR
-Asymptote was written by Andy Hammerlindl, John Bowman, and Tom Prince.
-.PP
-This manual page was written by Hubert Chan for the Debian project (but may
-be used by others).
diff --git a/Build/source/utils/asymptote/doc/asyRefCard.pdf b/Build/source/utils/asymptote/doc/asyRefCard.pdf
deleted file mode 100644
index 0d9489a98a9..00000000000
--- a/Build/source/utils/asymptote/doc/asyRefCard.pdf
+++ /dev/null
diff --git a/Build/source/utils/asymptote/doc/asymptote.pdf b/Build/source/utils/asymptote/doc/asymptote.pdf
deleted file mode 100644
index df69e68a5d1..00000000000
--- a/Build/source/utils/asymptote/doc/asymptote.pdf
+++ /dev/null
diff --git a/Build/source/utils/asymptote/doc/asymptote.texi b/Build/source/utils/asymptote/doc/asymptote.texi
index 278a57541c6..0857cc6fce8 100644
--- a/Build/source/utils/asymptote/doc/asymptote.texi
+++ b/Build/source/utils/asymptote/doc/asymptote.texi
@@ -11,7 +11,7 @@ This file documents @code{Asymptote}, version @value{VERSION}.
 
 @url{http://asymptote.sourceforge.net}
      
-Copyright @copyright{} 2004-16 Andy Hammerlindl, John Bowman, and Tom Prince.
+Copyright @copyright{} 2004-18 Andy Hammerlindl, John Bowman, and Tom Prince.
      
 @quotation
 Permission is granted to copy, distribute and/or modify this document
@@ -316,10 +316,10 @@ Users may also wish to monitor the @code{Asymptote} forum:
 @cindex @acronym{RPM}
 @cindex @code{tgz}
 We release both @code{tgz} and @acronym{RPM} binary distributions of
-@code{Asymptote}. The root user can install the @code{Linux i386} @code{tgz}
+@code{Asymptote}. The root user can install the @code{Linux x86_64} @code{tgz}
 distribution of version @code{x.xx} of @code{Asymptote} with the commands:
 @verbatim
-tar -C / -zxf asymptote-x.xx.i386.tgz
+tar -C / -zxf asymptote-x.xx.x86_64.tgz
 texhash
 @end verbatim
 @noindent
@@ -758,9 +758,9 @@ To compile without optimization, use the command @code{make CFLAGS=-g}.
 @section Uninstall
 @cindex uninstall
 
-To uninstall a @code{Linux i386} binary distribution, use the commands
+To uninstall a @code{Linux x86_64} binary distribution, use the commands
 @verbatim
-tar -zxvf asymptote-x.xx.i386.tgz | xargs --replace=% rm /%
+tar -zxvf asymptote-x.xx.x86_64.tgz | xargs --replace=% rm /%
 texhash
 @end verbatim
 
@@ -9893,7 +9893,7 @@ Martin Wiebusch, and Stefan Knorr.
 @c  LocalWords:  differentiable vectorization vectorized asydir normals quartic
 @c  LocalWords:  wavepacket kerned parametrized specular hyperboloid Bourke's
 @c  LocalWords:  Michail 0pt 1filll 's 3D latin1 labelpath3 2D graph3
-@c  LocalWords:  grid3 contour3 i386 psv a4 gsview32 freeglut 'load '
+@c  LocalWords:  grid3 contour3 x86_64 psv a4 gsview32 freeglut 'load '
 @c  LocalWords:  'asy 'lasy 'auto 5bp 1cm sqrtx01 4g extenda extendb
 @c  LocalWords:  bb llx 2S 100pt 3t bezier2 bool3 x0 angle1 angle2 z1
 @c  LocalWords:  z2 before' struct X11 x11colors type1cm 12pt OT1 5mm
diff --git a/Build/source/utils/asymptote/doc/png/asymptote.info b/Build/source/utils/asymptote/doc/png/asymptote.info
deleted file mode 100644
index bae9887b4db..00000000000
--- a/Build/source/utils/asymptote/doc/png/asymptote.info
+++ /dev/null
@@ -1,10245 +0,0 @@
-This is asymptote.info, produced by makeinfo version 6.4 from
-asymptote.texi.
-
-This file documents 'Asymptote', version 2.42.
-
-   <http://asymptote.sourceforge.net>
-
-   Copyright (C) 2004-16 Andy Hammerlindl, John Bowman, and Tom Prince.
-
-     Permission is granted to copy, distribute and/or modify this
-     document under the terms of the GNU Lesser General Public License
-     (see the file LICENSE in the top-level source directory).
-
-INFO-DIR-SECTION Languages
-START-INFO-DIR-ENTRY
-* asymptote: (asymptote/asymptote). Vector graphics language.
-END-INFO-DIR-ENTRY
-
-
-File: asymptote.info,  Node: Top,  Next: Description,  Prev: (dir),  Up: (dir)
-
-Asymptote
-*********
-
-This file documents 'Asymptote', version 2.42.
-
-   <http://asymptote.sourceforge.net>
-
-   Copyright (C) 2004-16 Andy Hammerlindl, John Bowman, and Tom Prince.
-
-     Permission is granted to copy, distribute and/or modify this
-     document under the terms of the GNU Lesser General Public License
-     (see the file LICENSE in the top-level source directory).
-
-* Menu:
-
-* Description::                 What is 'Asymptote'?
-* Installation::                Downloading and installing
-* Tutorial::                    Getting started
-* Drawing commands::            Four primitive graphics commands
-* Bezier curves::               Path connectors and direction specifiers
-* Programming::                 The 'Asymptote' vector graphics language
-* LaTeX usage::                 Embedding 'Asymptote' commands within 'LaTeX'
-* Base modules::                Base modules shipped with 'Asymptote'
-* Options::                     Command-line options
-* Interactive mode::            Typing 'Asymptote' commands interactively
-* GUI::                         Graphical user interface
-* PostScript to Asymptote::     'Asymptote' backend to 'pstoedit'
-* Help::                        Where to get help and submit bug reports
-* Debugger::                    Squish those bugs!
-* Credits::                     Contributions and acknowledgments
-* Index::                       General index
-
- -- The Detailed Node Listing --
-
-Installation
-
-* UNIX binary distributions::   Prebuilt 'UNIX' binaries
-* MacOS X binary distributions::  Prebuilt 'MacOS X' binaries
-* Microsoft Windows::           Prebuilt 'Microsoft Windows' binary
-* Configuring::                 Configuring 'Asymptote' for your system
-* Search paths::                Where 'Asymptote' looks for your files
-* Compiling from UNIX source::  Building 'Asymptote' from scratch
-* Editing modes::               Convenient 'emacs' and 'vim' modes
-* Git::                         Getting the latest development source
-* Uninstall::                   Goodbye, 'Asymptote'!
-
-Tutorial
-
-* Drawing in batch mode::       Run 'Asymptote' on a text file
-* Drawing in interactive mode:: Running 'Asymptote' interactively
-* Figure size::                 Specifying the figure size
-* Labels::                      Adding 'LaTeX' labels
-* Paths::                       Drawing lines and curves
-
-Drawing commands
-
-* draw::                        Draw a path on a picture or frame
-* fill::                        Fill a cyclic path on a picture or frame
-* clip::                        Clip a picture or frame to a cyclic path
-* label::                       Label a point on a picture
-
-Programming
-
-* Data types::                  void, bool, int, real, pair, triple, string
-* Paths and guides::            Bezier curves
-* Pens::                        Colors, line types, line widths, font sizes
-* Transforms::                  Affine transforms
-* Frames and pictures::         Canvases for immediate and deferred drawing
-* Files::                       Reading and writing your data
-* Variable initializers::       Initialize your variables
-* Structures::                  Organize your data
-* Operators::                   Arithmetic and logical operators
-* Implicit scaling::            Avoiding those ugly *s
-* Functions::                   Traditional and high-order functions
-* Arrays::                      Dynamic vectors
-* Casts::                       Implicit and explicit casts
-* Import::                      Importing external 'Asymptote' modules
-* Static::                      Where to allocate your variable?
-
-Operators
-
-* Arithmetic & logical::        Basic mathematical operators
-* Self & prefix operators::     Increment and decrement
-* User-defined operators::      Overloading operators
-
-Functions
-
-* Default arguments::           Default values can appear anywhere
-* Named arguments::             Assigning function arguments by keyword
-* Rest arguments::              Functions with a variable number of arguments
-* Mathematical functions::      Standard libm functions
-
-Arrays
-
-* Slices::                      Python-style array slices
-
-Base modules
-
-* plain::                       Default 'Asymptote' base file
-* simplex::                     Linear programming: simplex method
-* math::                        Extend 'Asymptote''s math capabilities
-* interpolate::                 Interpolation routines
-* geometry::                    Geometry routines
-* trembling::                   Wavy lines
-* stats::                       Statistics routines and histograms
-* patterns::                    Custom fill and draw patterns
-* markers::                     Custom path marker routines
-* tree::                        Dynamic binary search tree
-* binarytree::                  Binary tree drawing module
-* drawtree::                    Tree drawing module
-* syzygy::                      Syzygy and braid drawing module
-* feynman::                     Feynman diagrams
-* roundedpath::                 Round the sharp corners of paths
-* animation::                   Embedded PDF and MPEG movies
-* embed::                       Embedding movies, sounds, and 3D objects
-* slide::                       Making presentations with 'Asymptote'
-* MetaPost::                    'MetaPost' compatibility routines
-* unicode::                     Accept 'unicode' (UTF-8) characters
-* latin1::                      Accept 'ISO 8859-1' characters
-* babel::                       Interface to 'LaTeX' 'babel' package
-* labelpath::                   Drawing curved labels
-* labelpath3::                  Drawing curved labels in 3D
-* annotate::                    Annotate your PDF files
-* CAD::                         2D CAD pen and measurement functions (DIN 15)
-* graph::                       2D linear & logarithmic graphs
-* palette::                     Color density images and palettes
-* three::                       3D vector graphics
-* obj::                         3D obj files
-* graph3::                      3D linear & logarithmic graphs
-* grid3::                       3D grids
-* solids::                      3D solid geometry
-* tube::                        3D rotation minimizing tubes
-* flowchart::                   Flowchart drawing routines
-* contour::                     Contour lines
-* contour3::                    Contour surfaces
-* smoothcontour3::              Smooth implicit surfaces
-* slopefield::                  Slope fields
-* ode::                         Ordinary differential equations
-
-Graphical User Interface
-
-* GUI installation::            Installing 'xasy'
-* GUI usage::                   Using 'xasy' to edit objects
-
-
-
-File: asymptote.info,  Node: Description,  Next: Installation,  Prev: Top,  Up: Top
-
-1 Description
-*************
-
-'Asymptote' is a powerful descriptive vector graphics language that
-provides a mathematical coordinate-based framework for technical
-drawing.  Labels and equations are typeset with 'LaTeX', for overall
-document consistency, yielding the same high-quality level of
-typesetting that 'LaTeX' provides for scientific text.  By default it
-produces 'PostScript' output, but it can also generate any format that
-the 'ImageMagick' package can produce.
-
-   A major advantage of 'Asymptote' over other graphics packages is that
-it is a high-level programming language, as opposed to just a graphics
-program: it can therefore exploit the best features of the script
-(command-driven) and graphical-user-interface (GUI) methods for
-producing figures.  The rudimentary GUI 'xasy' included with the package
-allows one to move script-generated objects around.  To make 'Asymptote'
-accessible to the average user, this GUI is currently being developed
-into a full-fledged interface that can generate objects directly.
-However, the script portion of the language is now ready for general use
-by users who are willing to learn a few simple 'Asymptote' graphics
-commands (*note Drawing commands::).
-
-   'Asymptote' is mathematically oriented (e.g. one can use complex
-multiplication to rotate a vector) and uses 'LaTeX' to do the
-typesetting of labels.  This is an important feature for scientific
-applications.  It was inspired by an earlier drawing program (with a
-weaker syntax and capabilities) called 'MetaPost'.
-
-   The 'Asymptote' vector graphics language provides:
-
-   * a standard for typesetting mathematical figures, just as
-     TeX/'LaTeX' is the de-facto standard for typesetting equations.
-
-   * 'LaTeX' typesetting of labels, for overall document consistency;
-
-   * the ability to generate and embed 3D vector PRC graphics within PDF
-     files;
-
-   * a natural coordinate-based framework for technical drawing,
-     inspired by 'MetaPost', with a much cleaner, powerful C++-like
-     programming syntax;
-
-   * compilation of figures into virtual machine code for speed, without
-     sacrificing portability;
-
-   * the power of a script-based language coupled to the convenience of
-     a GUI;
-
-   * customization using its own C++-like graphics programming language;
-
-   * sensible defaults for graphical features, with the ability to
-     override;
-
-   * a high-level mathematically oriented interface to the 'PostScript'
-     language for vector graphics, including affine transforms and
-     complex variables;
-
-   * functions that can create new (anonymous) functions;
-
-   * deferred drawing that uses the simplex method to solve overall size
-     constraint issues between fixed-sized objects (labels and
-     arrowheads) and objects that should scale with figure size;
-
-   Many of the features of 'Asymptote' are written in the 'Asymptote'
-language itself.  While the stock version of 'Asymptote' is designed for
-mathematics typesetting needs, one can write 'Asymptote' modules that
-tailor it to specific applications.  A scientific graphing module has
-already been written (*note graph::).  Examples of 'Asymptote' code and
-output, including animations, are available at
-     <http://asymptote.sourceforge.net/gallery/>
-Clicking on an example file name in this manual, like 'Pythagoras', will
-display the PDF output, whereas clicking on its '.asy' extension will
-show the corresponding 'Asymptote' code in a separate window.
-
-   Links to many external resources, including an excellent user-written
-'Asymptote' tutorial can be found at
-     <http://asymptote.sourceforge.net/links.html>
-   A quick reference card for 'Asymptote' is available at
-     <http://asymptote.sourceforge.net/asyRefCard.pdf>
-
-
-File: asymptote.info,  Node: Installation,  Next: Tutorial,  Prev: Description,  Up: Top
-
-2 Installation
-**************
-
-* Menu:
-
-* UNIX binary distributions::   Prebuilt 'UNIX' binaries
-* MacOS X binary distributions::  Prebuilt 'MacOS X' binaries
-* Microsoft Windows::           Prebuilt 'Microsoft Windows' binary
-* Configuring::                 Configuring 'Asymptote' for your system
-* Search paths::                Where 'Asymptote' looks for your files
-* Compiling from UNIX source::  Building 'Asymptote' from scratch
-* Editing modes::               Convenient 'emacs' and 'vim' modes
-* Git::                         Getting the latest development source
-* Uninstall::                   Goodbye, 'Asymptote'!
-
-After following the instructions for your specific distribution, please
-see also *note Configuring::.
-
-We recommend subscribing to new release announcements at
-     <http://sourceforge.net/projects/asymptote>
-Users may also wish to monitor the 'Asymptote' forum:
-     <http://sourceforge.net/p/asymptote/discussion/409349>
-
-
-File: asymptote.info,  Node: UNIX binary distributions,  Next: MacOS X binary distributions,  Prev: Installation,  Up: Installation
-
-2.1 UNIX binary distributions
-=============================
-
-We release both 'tgz' and RPM binary distributions of 'Asymptote'.  The
-root user can install the 'Linux i386' 'tgz' distribution of version
-'x.xx' of 'Asymptote' with the commands:
-tar -C / -zxf asymptote-x.xx.i386.tgz
-texhash
-The 'texhash' command, which installs LaTeX style files, is optional.
-The executable file will be '/usr/local/bin/asy') and example code will
-be installed by default in '/usr/local/share/doc/asymptote/examples'.
-
-Fedora users can easily install the most recent version of 'Asymptote'
-with the command
-dnf --enablerepo=rawhide install asymptote
-
-To install the latest version of 'Asymptote' on a Debian-based
-distribution (e.g. Ubuntu, Mepis, Linspire) follow the instructions for
-compiling from 'UNIX' source (*note Compiling from UNIX source::).
-Alternatively, Debian users can install one of Hubert Chan's prebuilt
-'Asymptote' binaries from
-     <http://ftp.debian.org/debian/pool/main/a/asymptote>
-
-
-File: asymptote.info,  Node: MacOS X binary distributions,  Next: Microsoft Windows,  Prev: UNIX binary distributions,  Up: Installation
-
-2.2 MacOS X binary distributions
-================================
-
-'MacOS X' users can either compile the 'UNIX' source code (*note
-Compiling from UNIX source::) or install the 'Asymptote' binary
-available at
-
-   <http://www.macports.org/>
-
-Note that many 'MacOS X' (and FreeBSD) systems lack the GNU 'readline'
-library.  For full interactive functionality, GNU 'readline' version 4.3
-or later must be installed.
-
-
-File: asymptote.info,  Node: Microsoft Windows,  Next: Configuring,  Prev: MacOS X binary distributions,  Up: Installation
-
-2.3 Microsoft Windows
-=====================
-
-Users of the 'Microsoft Windows' operating system can install the
-self-extracting 'Asymptote' executable 'asymptote-x.xx-setup.exe', where
-'x.xx' denotes the latest version.
-
-   A working TeX implementation (we recommend
-<https://www.tug.org/texlive> or <http://www.miktex.org>) will be
-required to typeset labels.  You will also need to install 'GPL
-Ghostscript' version 9.14 or later from
-<http://downloads.ghostscript.com/public>.
-
-   To view 'PostScript' output, you can install the program 'gsview'
-available from <http://www.cs.wisc.edu/~ghost/gsview/>.
-
-   The 'ImageMagick' package from
-<http://www.imagemagick.org/script/binary-releases.php>
-
-is required to support output formats other than EPS, PDF, SVG, and PNG
-(*note convert::).  The 'Python 2' interpreter from
-<http://www.python.org> is only required if you wish to try out the
-graphical user interface (*note GUI::).
-
-Example code will be installed by default in the 'examples' subdirectory
-of the installation directory (by default, 'C:\Program
-Files\Asymptote').
-
-
-File: asymptote.info,  Node: Configuring,  Next: Search paths,  Prev: Microsoft Windows,  Up: Installation
-
-2.4 Configuring
-===============
-
-In interactive mode, or when given the '-V' option (the default when
-running 'Asymptote' on a single file under 'MSDOS'), 'Asymptote' will
-automatically invoke the 'PostScript' viewer 'gv' (under 'UNIX') or
-'gsview' (under 'MSDOS' to display graphical output.  These defaults may
-be overridden with the configuration variable 'psviewer'.  The
-'PostScript' viewer should be capable of automatically redrawing
-whenever the output file is updated.  The default 'UNIX' 'PostScript'
-viewer 'gv' supports this (via a 'SIGHUP' signal).  Version 'gv-3.6.3'
-or later (from <http://ftp.gnu.org/gnu/gv/>) is required for interactive
-mode to work properly.  Users of 'ggv' will need to enable 'Watch file'
-under 'Edit/Postscript Viewer Preferences'.  Users of 'gsview' will need
-to enable 'Options/Auto Redisplay' (however, under 'MSDOS' it is still
-necessary to click on the 'gsview' window; under 'UNIX' one must
-manually redisplay by pressing the 'r' key).
-
-   Configuration variables are most easily set as 'Asymptote' variables
-in an optional configuration file 'config.asy' *note configuration
-file::).  Here are the default values of several important configuration
-variables under 'UNIX':
-
-import settings;
-psviewer="gv";
-pdfviewer="acroread";
-gs="gs";
-
-Under 'MSDOS', the (installation-dependent) default values of these
-configuration variables are determined automatically from the 'Microsoft
-Windows' registry.  Viewer settings (such as 'psviewer' and 'pdfviewer')
-can be set to the string 'cmd' to request the application normally
-associated with the corresponding file type.
-
-   For PDF format output, the 'gs' setting specifies the location of the
-'PostScript'-to-PDF processor 'Ghostscript', available from
-<http://downloads.ghostscript.com/public>.
-
-   The setting 'pdfviewer' specifies the location of the PDF viewer.  On
-'UNIX' systems, to support automatic document reloading in 'Adobe
-Reader', we recommend copying the file 'reload.js' from the 'Asymptote'
-system directory (by default, '/usr/local/share/asymptote' under 'UNIX'
-to '~/.adobe/Acrobat/x.x/JavaScripts/', where 'x.x' represents the
-appropriate 'Adobe Reader' version number.  The automatic document
-reload feature must then be explicitly enabled by putting
-import settings;
-pdfreload=true;
-pdfreloadOptions="-tempFile";
-in the 'Asymptote' configuration file.  This reload feature is not
-useful under 'MSDOS' since the document cannot be updated anyway on that
-operating system until it is first closed by 'Adobe Reader'.
-
-   The configuration variable 'dir' can be used to adjust the search
-path (*note Search paths::).
-
-   By default, 'Asymptote' attempts to center the figure on the page,
-assuming that the paper type is 'letter'.  The default paper type may be
-changed to 'a4' with the configuration variable 'papertype'.  Alignment
-to other paper sizes can be obtained by setting the configuration
-variables 'paperwidth' and 'paperheight'.
-
-   The following configuration variables normally do not require
-adjustment:
-config
-texpath
-texcommand
-dvips
-dvisvgm
-libgs
-convert
-display
-animate
-
-   Warnings (such as "unbounded" and "offaxis") may be enabled or
-disabled with the functions
-warn(string s);
-nowarn(string s);
-or by directly modifying the string array 'settings.suppress', which
-lists all disabled warnings.
-
-   Configuration variables may also be set or overwritten with a
-command-line option:
-asy -psviewer=gsview -V venn
-
-   Alternatively, system environment versions of the above configuration
-variables may be set in the conventional way.  The corresponding
-environment variable name is obtained by converting the configuration
-variable name to upper case and prepending 'ASYMPTOTE_': for example, to
-set the environment variable
-ASYMPTOTE_PSVIEWER="C:\Program Files\Ghostgum\gsview\gsview32.exe";
-under 'Microsoft Windows XP':
-  1. Click on the 'Start' button;
-  2. Right-click on 'My Computer';
-  3. Choose 'View system information';
-  4. Click the 'Advanced' tab;
-  5. Click the 'Environment Variables' button.
-
-
-File: asymptote.info,  Node: Search paths,  Next: Compiling from UNIX source,  Prev: Configuring,  Up: Installation
-
-2.5 Search paths
-================
-
-In looking for 'Asymptote' system files, 'asy' will search the following
-paths, in the order listed:
-  1. The current directory;
-  2. A list of one or more directories specified by the configuration
-     variable 'dir' or environment variable 'ASYMPTOTE_DIR' (separated
-     by ':' under UNIX and ';' under 'MSDOS');
-  3. The directory specified by the environment variable
-     'ASYMPTOTE_HOME'; if this variable is not set, the directory '.asy'
-     in the user's home directory ('%USERPROFILE%\.asy' under 'MSDOS')
-     is used;
-  4. The 'Asymptote' system directory (by default,
-     '/usr/local/share/asymptote' under 'UNIX' and 'C:\Program
-     Files\Asymptote' under 'MSDOS').
-
-
-File: asymptote.info,  Node: Compiling from UNIX source,  Next: Editing modes,  Prev: Search paths,  Up: Installation
-
-2.6 Compiling from UNIX source
-==============================
-
-To compile and install a 'UNIX' executable from the source release
-'asymptote-x.xx.src.tgz' in the subdirectory 'x.xx' under
-
-   <http://sourceforge.net/projects/asymptote/files/>
-
-   execute the commands:
-gunzip asymptote-x.xx.src.tgz
-tar -xf asymptote-x.xx.src.tar
-cd asymptote-x.xx
-   By default the system version of the Boehm garbage collector will be
-used; if it is old we recommend first putting
-<http://hboehm.info/gc/gc_source/gc-7.4.2.tar.gz>
-<http://www.ivmaisoft.com/_bin/atomic_ops/libatomic_ops-7.4.2.tar.gz> in
-the 'Asymptote' source directory.
-
-   On 'UNIX' platforms (other than 'MacOS X'), we recommend using
-version '3.0.0' of the 'freeglut' library.  To compile 'freeglut',
-download
-     <http://prdownloads.sourceforge.net/freeglut/freeglut-3.0.0.tar.gz>
-and type (as the root user):
-gunzip freeglut-3.0.0.tar.gz
-tar -xf freeglut-3.0.0.tar
-cd freeglut-3.0.0
-./configure --prefix=/usr
-cmake .
-make
-make install
-cd ..
-
-   Then compile 'Asymptote' with the commands
-./configure
-make all
-make install
-Be sure to use GNU 'make' (on non-GNU systems this command may be called
-'gmake').  To build the documentation, you may need to install the
-'texinfo-tex' package.  If you get errors from a broken 'texinfo' or
-'pdftex' installation, simply put
-     <http://asymptote.sourceforge.net/asymptote.pdf>
-in the directory 'doc' and repeat the command 'make all'.
-
-For a (default) system-wide installation, the last command should be
-done as the root user.  To install without root privileges, change the
-'./configure' command to
-./configure --prefix=$HOME/asymptote
-   One can disable use of the Boehm garbage collector by configuring
-with './configure --disable-gc'.  For a list of other configuration
-options, say './configure --help'.  For example, one can tell configure
-to look for header files and libraries in nonstandard locations:
-./configure CXXFLAGS=-I/opt/local/include LDFLAGS=-L/opt/local/lib
-
-   If you are compiling 'Asymptote' with 'gcc', you will need a
-relatively recent version (e.g. 3.4.4 or later).  For full interactive
-functionality, you will need version 4.3 or later of the GNU 'readline'
-library.  The file 'gcc3.3.2curses.patch' in the 'patches' directory can
-be used to patch the broken curses.h header file (or a local copy
-thereof in the current directory) on some 'AIX' and 'IRIX' systems.
-
-   The 'FFTW' library is only required if you want 'Asymptote' to be
-able to take Fourier transforms of data (say, to compute an audio power
-spectrum).  The 'GSL' library is only required if you require the
-special functions that it supports.
-
-   If you don't want to install 'Asymptote' system wide, just make sure
-the compiled binary 'asy' and GUI script 'xasy' are in your path and set
-the configuration variable 'dir' to point to the directory 'base' (in
-the top level directory of the 'Asymptote' source code).
-
-
-File: asymptote.info,  Node: Editing modes,  Next: Git,  Prev: Compiling from UNIX source,  Up: Installation
-
-2.7 Editing modes
-=================
-
-Users of 'emacs' can edit 'Asymptote' code with the mode 'asy-mode',
-after enabling it by putting the following lines in their '.emacs'
-initialization file, replacing 'ASYDIR' with the location of the
-'Asymptote' system directory (by default, '/usr/local/share/asymptote'
-or 'C:\Program Files\Asymptote' under 'MSDOS'):
-(add-to-list 'load-path "ASYDIR")
-(autoload 'asy-mode "asy-mode.el" "Asymptote major mode." t)
-(autoload 'lasy-mode "asy-mode.el" "hybrid Asymptote/Latex major mode." t)
-(autoload 'asy-insinuate-latex "asy-mode.el" "Asymptote insinuate LaTeX." t)
-(add-to-list 'auto-mode-alist '("\\.asy$" . asy-mode))
-
-Particularly useful key bindings in this mode are 'C-c C-c', which
-compiles and displays the current buffer, and the key binding 'C-c ?',
-which shows the available function prototypes for the command at the
-cursor.  For full functionality you should also install the Apache
-Software Foundation package 'two-mode-mode':
-     <http://www.dedasys.com/freesoftware/files/two-mode-mode.el>
-Once installed, you can use the hybrid mode 'lasy-mode' to edit a LaTeX
-file containing embedded 'Asymptote' code (*note LaTeX usage::).  This
-mode can be enabled within 'latex-mode' with the key sequence 'M-x
-lasy-mode <RET>'.  On 'UNIX' systems, additional keywords will be
-generated from all 'asy' files in the space-separated list of
-directories specified by the environment variable 'ASYMPTOTE_SITEDIR'.
-Further documentation of 'asy-mode' is available within 'emacs' by
-pressing the sequence keys 'C-h f asy-mode <RET>'.
-
-   Fans of 'vim' can customize 'vim' for 'Asymptote' with
-
-'cp /usr/local/share/asymptote/asy.vim ~/.vim/syntax/asy.vim'
-
-and add the following to their '~/.vimrc' file:
-augroup filetypedetect
-au BufNewFile,BufRead *.asy     setf asy
-augroup END
-filetype plugin on
-
-   If any of these directories or files don't exist, just create them.
-To set 'vim' up to run the current asymptote script using ':make' just
-add to '~/.vim/ftplugin/asy.vim':
-setlocal makeprg=asy\ %
-setlocal errorformat=%f:\ %l.%c:\ %m
-
-   Syntax highlighting support for the KDE editor 'Kate' can be enabled
-by running 'asy-kate.sh' in the '/usr/local/share/asymptote' directory
-and putting the generated 'asymptote.xml' file in
-'~/.kde/share/apps/katepart/syntax/'.
-
-
-File: asymptote.info,  Node: Git,  Next: Uninstall,  Prev: Editing modes,  Up: Installation
-
-2.8 Git
-=======
-
-The following commands are needed to install the latest development
-version of 'Asymptote' using 'git':
-git clone http://github.com/vectorgraphics/asymptote
-
-cd asymptote
-./autogen.sh
-./configure
-make all
-make install
-
-To compile without optimization, use the command 'make CFLAGS=-g'.
-
-
-File: asymptote.info,  Node: Uninstall,  Prev: Git,  Up: Installation
-
-2.9 Uninstall
-=============
-
-To uninstall a 'Linux i386' binary distribution, use the commands
-tar -zxvf asymptote-x.xx.i386.tgz | xargs --replace=% rm /%
-texhash
-
-To uninstall all 'Asymptote' files installed from a source distribution,
-use the command
-make uninstall
-
-
-File: asymptote.info,  Node: Tutorial,  Next: Drawing commands,  Prev: Installation,  Up: Top
-
-3 Tutorial
-**********
-
-* Menu:
-
-* Drawing in batch mode::       Run 'Asymptote' on a text file
-* Drawing in interactive mode:: Running 'Asymptote' interactively
-* Figure size::                 Specifying the figure size
-* Labels::                      Adding 'LaTeX' labels
-* Paths::                       Drawing lines and curves
-
-A concise introduction to 'Asymptote' is given here.  For a more
-thorough introduction, see the excellent 'Asymptote' tutorial written by
-Charles Staats:
-
-   <http://math.uchicago.edu/~cstaats/Charles_Staats_III/Notes_and_papers_files/asymptote_tutorial.pdf>
-
-   Another 'Asymptote' tutorial is available as a wiki, with images
-rendered by an online Asymptote engine:
-
-   <http://www.artofproblemsolving.com/wiki/?title=Asymptote_(Vector_Graphics_Language)>
-
-
-File: asymptote.info,  Node: Drawing in batch mode,  Next: Drawing in interactive mode,  Prev: Tutorial,  Up: Tutorial
-
-3.1 Drawing in batch mode
-=========================
-
-To draw a line from coordinate (0,0) to coordinate (100,100), create a
-text file 'test.asy' containing
-draw((0,0)--(100,100));
-
-Then execute the command
-asy -V test
-Alternatively, 'MSDOS' users can drag and drop 'test.asy' onto the
-Desktop 'asy' icon (or make 'Asymptote' the default application for the
-extension 'asy').
-
-This method, known as _batch mode_, outputs a 'PostScript' file
-'test.eps'.  If you prefer PDF output, use the command line
-asy -V -f pdf test
-   In either case, the '-V' option opens up a viewer window so you can
-immediately view the result:
-
-                              [diagonal]
-Here, the '--' connector joins the two points '(0,0)' and '(100,100)'
-with a line segment.
-
-
-File: asymptote.info,  Node: Drawing in interactive mode,  Next: Figure size,  Prev: Drawing in batch mode,  Up: Tutorial
-
-3.2 Drawing in interactive mode
-===============================
-
-Another method is _interactive mode_, where 'Asymptote' reads individual
-commands as they are entered by the user.  To try this out, enter
-'Asymptote''s interactive mode by clicking on the 'Asymptote' icon or
-typing the command 'asy'.  Then type
-draw((0,0)--(100,100));
-followed by 'Enter', to obtain the above image.  At this point you can
-type further 'draw' commands, which will be added to the displayed
-figure, 'erase' to clear the canvas,
-input test;
-to execute all of the commands contained in the file 'test.asy', or
-'quit' to exit interactive mode.  You can use the arrow keys in
-interactive mode to edit previous lines.  The tab key will automatically
-complete unambiguous words; otherwise, hitting tab again will show the
-possible choices.  Further commands specific to interactive mode are
-described in *note Interactive mode::.
-
-
-File: asymptote.info,  Node: Figure size,  Next: Labels,  Prev: Drawing in interactive mode,  Up: Tutorial
-
-3.3 Figure size
-===============
-
-In 'Asymptote', coordinates like '(0,0)' and '(100,100)', called
-_pairs_, are expressed in 'PostScript' "big points" (1 'bp' = 1/72
-'inch') and the default line width is '0.5bp'.  However, it is often
-inconvenient to work directly in 'PostScript' coordinates.  The next
-example produces identical output to the previous example, by scaling
-the line '(0,0)--(1,1)' to fit a rectangle of width '100.5 bp' and
-height '100.5 bp' (the extra '0.5bp' accounts for the line width):
-size(100.5,100.5);
-draw((0,0)--(1,1));
-
-                              [diagonal]
-
-   One can also specify the size in 'pt' (1 'pt' = 1/72.27 'inch'),
-'cm', 'mm', or 'inches'.  Two nonzero size arguments (or a single size
-argument) restrict the size in both directions, preserving the aspect
-ratio.  If 0 is given as a size argument, no restriction is made in that
-direction; the overall scaling will be determined by the other direction
-(*note size::):
-size(0,100.5);
-draw((0,0)--(2,1),Arrow);
-
-                             [bigdiagonal]
-
-   To connect several points and create a cyclic path, use the 'cycle'
-keyword:
-size(3cm);
-draw((0,0)--(1,0)--(1,1)--(0,1)--cycle);
-
-                               [square]
-For convenience, the path '(0,0)--(1,0)--(1,1)--(0,1)--cycle' may be
-replaced with the predefined variable 'unitsquare', or equivalently,
-'box((0,0),(1,1))'.
-
-   To make the user coordinates represent multiples of exactly '1cm':
-unitsize(1cm);
-draw(unitsquare);
-
-
-File: asymptote.info,  Node: Labels,  Next: Paths,  Prev: Figure size,  Up: Tutorial
-
-3.4 Labels
-==========
-
-Adding labels is easy in 'Asymptote'; one specifies the label as a
-double-quoted 'LaTeX' string, a coordinate, and an optional alignment
-direction:
-size(3cm);
-draw(unitsquare);
-label("$A$",(0,0),SW);
-label("$B$",(1,0),SE);
-label("$C$",(1,1),NE);
-label("$D$",(0,1),NW);
-
-                             [labelsquare]
-
-   'Asymptote' uses the standard compass directions 'E=(1,0)',
-'N=(0,1)', 'NE=unit(N+E)', and 'ENE=unit(E+NE)', etc., which along with
-the directions 'up', 'down', 'right', and 'left' are defined as pairs in
-the 'Asymptote' base module 'plain' (a user who has a local variable
-named 'E' may access the compass direction 'E' by prefixing it with the
-name of the module where it is defined: 'plain.E').
-
-
-File: asymptote.info,  Node: Paths,  Prev: Labels,  Up: Tutorial
-
-3.5 Paths
-=========
-
-This example draws a path that approximates a quarter circle, terminated
-with an arrowhead:
-size(100,0);
-draw((1,0){up}..{left}(0,1),Arrow);
-
-                            [quartercircle]
-Here the directions 'up' and 'left' in braces specify the incoming and
-outgoing directions at the points '(1,0)' and '(0,1)', respectively.
-
-   In general, a path is specified as a list of points (or other paths)
-interconnected with '--', which denotes a straight line segment, or
-'..', which denotes a cubic spline (*note Bezier curves::).  Specifying
-a final '..cycle' creates a cyclic path that connects smoothly back to
-the initial node, as in this approximation (accurate to within 0.06%) of
-a unit circle:
-path unitcircle=E..N..W..S..cycle;
-
-An 'Asymptote' path, being connected, is equivalent to a 'Postscript
-subpath'.  The '^^' binary operator, which requests that the pen be
-moved (without drawing or affecting endpoint curvatures) from the final
-point of the left-hand path to the initial point of the right-hand path,
-may be used to group several 'Asymptote' paths into a 'path[]' array
-(equivalent to a 'PostScript' path):
-size(0,100);
-path unitcircle=E..N..W..S..cycle;
-path g=scale(2)*unitcircle;
-filldraw(unitcircle^^g,evenodd+yellow,black);
-
-
-                              [superpath]
-
-The 'PostScript' even-odd fill rule here specifies that only the region
-bounded between the two unit circles is filled (*note fillrule::).  In
-this example, the same effect can be achieved by using the default zero
-winding number fill rule, if one is careful to alternate the orientation
-of the paths:
-filldraw(unitcircle^^reverse(g),yellow,black);
-
-   The '^^' operator is used by the 'box(triple, triple)' function in
-the module 'three.asy' to construct the edges of a cube 'unitbox'
-without retracing steps (*note three::):
-import three;
-
-currentprojection=orthographic(5,4,2,center=true);
-
-size(5cm);
-size3(3cm,5cm,8cm);
-
-draw(unitbox);
-
-dot(unitbox,red);
-
-label("$O$",(0,0,0),NW);
-label("(1,0,0)",(1,0,0),S);
-label("(0,1,0)",(0,1,0),E);
-label("(0,0,1)",(0,0,1),Z);
-
-                                [cube]
-
-   See section *note graph:: (or the online 'Asymptote' gallery and
-external links posted at <http://asymptote.sourceforge.net>) for further
-examples, including two-dimensional and interactive three-dimensional
-scientific graphs.  Additional examples have been posted by Philippe
-Ivaldi at <http://www.piprime.fr/asymptote>.
-
-
-File: asymptote.info,  Node: Drawing commands,  Next: Bezier curves,  Prev: Tutorial,  Up: Top
-
-4 Drawing commands
-******************
-
-All of 'Asymptote''s graphical capabilities are based on four primitive
-commands.  The three 'PostScript' drawing commands 'draw', 'fill', and
-'clip' add objects to a picture in the order in which they are executed,
-with the most recently drawn object appearing on top.  The labeling
-command 'label' can be used to add text labels and external EPS images,
-which will appear on top of the 'PostScript' objects (since this is
-normally what one wants), but again in the relative order in which they
-were executed.  After drawing objects on a picture, the picture can be
-output with the 'shipout' function (*note shipout::).
-
-   If you wish to draw 'PostScript' objects on top of labels (or
-verbatim 'tex' commands; *note tex::), the 'layer' command may be used
-to start a new 'PostScript/LaTeX' layer:
-void layer(picture pic=currentpicture);
-
-   The 'layer' function gives one full control over the order in which
-objects are drawn.  Layers are drawn sequentially, with the most recent
-layer appearing on top.  Within each layer, labels, images, and verbatim
-'tex' commands are always drawn after the 'PostScript' objects in that
-layer.
-
-   While some of these drawing commands take many options, they all have
-sensible default values (for example, the picture argument defaults to
-currentpicture).
-
-* Menu:
-
-* draw::                        Draw a path on a picture or frame
-* fill::                        Fill a cyclic path on a picture or frame
-* clip::                        Clip a picture or frame to a cyclic path
-* label::                       Label a point on a picture
-
-
-File: asymptote.info,  Node: draw,  Next: fill,  Prev: Drawing commands,  Up: Drawing commands
-
-4.1 draw
-========
-
-void draw(picture pic=currentpicture, Label L="", path g,
-          align align=NoAlign, pen p=currentpen,
-          arrowbar arrow=None, arrowbar bar=None, margin margin=NoMargin,
-          Label legend="", marker marker=nomarker);
-
-   Draw the path 'g' on the picture 'pic' using pen 'p' for drawing,
-with optional drawing attributes (Label 'L', explicit label alignment
-'align', arrows and bars 'arrow' and 'bar', margins 'margin', legend,
-and markers 'marker').  Only one parameter, the path, is required.  For
-convenience, the arguments 'arrow' and 'bar' may be specified in either
-order.  The argument 'legend' is a Label to use in constructing an
-optional legend entry.
-
-   Bars are useful for indicating dimensions.  The possible values of
-'bar' are 'None', 'BeginBar', 'EndBar' (or equivalently 'Bar'), and
-'Bars' (which draws a bar at both ends of the path).  Each of these bar
-specifiers (except for 'None') will accept an optional real argument
-that denotes the length of the bar in 'PostScript' coordinates.  The
-default bar length is 'barsize(pen)'.
-
-   The possible values of 'arrow' are 'None', 'Blank' (which draws no
-arrows or path), 'BeginArrow', 'MidArrow', 'EndArrow' (or equivalently
-'Arrow'), and 'Arrows' (which draws an arrow at both ends of the path).
-All of the arrow specifiers except for 'None' and 'Blank' may be given
-the optional arguments arrowhead 'arrowhead' (one of the predefined
-arrowhead styles 'DefaultHead', 'SimpleHead', 'HookHead', 'TeXHead'),
-real 'size' (arrowhead size in 'PostScript' coordinates), real 'angle'
-(arrowhead angle in degrees), filltype 'filltype' (one of 'FillDraw',
-'Fill', 'NoFill', 'UnFill', 'Draw') and (except for 'MidArrow' and
-'Arrows') a real 'position' (in the sense of 'point(path p, real t)')
-along the path where the tip of the arrow should be placed.  The default
-arrowhead size when drawn with a pen 'p' is 'arrowsize(p)'.  There are
-also arrow versions with slightly modified default values of 'size' and
-'angle' suitable for curved arrows: 'BeginArcArrow', 'EndArcArrow' (or
-equivalently 'ArcArrow'), 'MidArcArrow', and 'ArcArrows'.
-
-   Margins can be used to shrink the visible portion of a path by
-'labelmargin(p)' to avoid overlap with other drawn objects.  Typical
-values of 'margin' are 'NoMargin', 'BeginMargin', 'EndMargin' (or
-equivalently 'Margin'), and 'Margins' (which leaves a margin at both
-ends of the path).  One may use 'Margin(real begin, real end)' to
-specify the size of the beginning and ending margin, respectively, in
-multiples of the units 'labelmargin(p)' used for aligning labels.
-Alternatively, 'BeginPenMargin', 'EndPenMargin' (or equivalently
-'PenMargin'), 'PenMargins', 'PenMargin(real begin, real end)' specify a
-margin in units of the pen line width, taking account of the pen line
-width when drawing the path or arrow.  For example, use 'DotMargin', an
-abbreviation for 'PenMargin(-0.5*dotfactor,0.5*dotfactor)', to draw from
-the usual beginning point just up to the boundary of an end dot of width
-'dotfactor*linewidth(p)'.  The qualifiers 'BeginDotMargin',
-'EndDotMargin', and 'DotMargins' work similarly.  The qualifier
-'TrueMargin(real begin, real end)' allows one to specify a margin
-directly in 'PostScript' units, independent of the pen line width.
-
-   The use of arrows, bars, and margins is illustrated by the examples
-'Pythagoras.asy', 'sqrtx01.asy', and 'triads.asy'.
-
-   The legend for a picture 'pic' can be fit and aligned to a frame with
-the routine:
-frame legend(picture pic=currentpicture, int perline=1,
-             real xmargin=legendmargin, real ymargin=xmargin,
-             real linelength=legendlinelength,
-             real hskip=legendhskip, real vskip=legendvskip,
-             real maxwidth=0, real maxheight=0, 
-             bool hstretch=false, bool vstretch=false, pen p=currentpen);
-Here 'xmargin' and 'ymargin' specify the surrounding x and y margins,
-'perline' specifies the number of entries per line (default 1; 0 means
-choose this number automatically), 'linelength' specifies the length of
-the path lines, 'hskip' and 'vskip' specify the line skip (as a multiple
-of the legend entry size), 'maxwidth' and 'maxheight' specify optional
-upper limits on the width and height of the resulting legend (0 means
-unlimited), 'hstretch' and 'vstretch' allow the legend to stretch
-horizontally or vertically, and 'p' specifies the pen used to draw the
-bounding box.  The legend frame can then be added and aligned about a
-point on a picture 'dest' using 'add' or 'attach' (*note add about::).
-
-   To draw a dot, simply draw a path containing a single point.  The
-'dot' command defined in the module 'plain' draws a dot having a
-diameter equal to an explicit pen line width or the default line width
-magnified by 'dotfactor' (6 by default), using the specified filltype
-(*note filltype::):
-void dot(picture pic=currentpicture, pair z, pen p=currentpen,
-         filltype filltype=Fill);
-void dot(picture pic=currentpicture, Label L, pair z, align align=NoAlign,
-         string format=defaultformat, pen p=currentpen, filltype filltype=Fill);
-void dot(picture pic=currentpicture, Label[] L=new Label[], pair[] z,
-         align align=NoAlign, string format=defaultformat, pen p=currentpen,
-         filltype filltype=Fill)
-void dot(picture pic=currentpicture, Label L, pen p=currentpen,
-         filltype filltype=Fill);
-
-   If the variable 'Label' is given as the 'Label' argument to the
-second routine, the 'format' argument will be used to format a string
-based on the dot location (here 'defaultformat' is '"$%.4g$"').  The
-third routine draws a dot at every point of a pair array 'z'.  One can
-also draw a dot at every node of a path:
-void dot(picture pic=currentpicture, Label[] L=new Label[],
-         path g, align align=RightSide, string format=defaultformat,
-         pen p=currentpen, filltype filltype=Fill);
-   See *note pathmarkers:: and *note markers:: for more general methods
-for marking path nodes.
-
-   To draw a fixed-sized object (in 'PostScript' coordinates) about the
-user coordinate 'origin', use the routine
-void draw(pair origin, picture pic=currentpicture, Label L="", path g,
-          align align=NoAlign, pen p=currentpen, arrowbar arrow=None,
-          arrowbar bar=None, margin margin=NoMargin, Label legend="",
-          marker marker=nomarker);
-
-
-File: asymptote.info,  Node: fill,  Next: clip,  Prev: draw,  Up: Drawing commands
-
-4.2 fill
-========
-
-void fill(picture pic=currentpicture, path g, pen p=currentpen);
-
-   Fill the interior region bounded by the cyclic path 'g' on the
-picture 'pic', using the pen 'p'.
-
-   There is also a convenient 'filldraw' command, which fills the path
-and then draws in the boundary.  One can specify separate pens for each
-operation:
-void filldraw(picture pic=currentpicture, path g, pen fillpen=currentpen,
-              pen drawpen=currentpen);
-
-   This fixed-size version of 'fill' allows one to fill an object
-described in 'PostScript' coordinates about the user coordinate
-'origin':
-void fill(pair origin, picture pic=currentpicture, path g, pen p=currentpen);
-
-This is just a convenient abbreviation for the commands:
-picture opic;
-fill(opic,g,p);
-add(pic,opic,origin);
-
-   The routine
-void filloutside(picture pic=currentpicture, path g, pen p=currentpen);
-fills the region exterior to the path 'g', out to the current boundary
-of picture 'pic'.
-
-   Lattice gradient shading varying smoothly over a two-dimensional
-array of pens 'p', using fill rule 'fillrule', can be produced with
-void latticeshade(picture pic=currentpicture, path g, bool stroke=false,
-                  pen fillrule=currentpen, pen[][] p)
-   If 'stroke=true', the region filled is the same as the region that
-would be drawn by 'draw(pic,g,fillrule+zerowinding)'; in this case the
-path 'g' need not be cyclic.  The pens in 'p' must belong to the same
-color space.  One can use the functions 'rgb(pen)' or 'cmyk(pen)' to
-promote pens to a higher color space, as illustrated in the example file
-'latticeshading.asy'.
-
-   Axial gradient shading varying smoothly from 'pena' to 'penb' in the
-direction of the line segment 'a--b' can be achieved with
-void axialshade(picture pic=currentpicture, path g, bool stroke=false,
-                pen pena, pair a, bool extenda=true,
-                pen penb, pair b, bool extendb=true);
-The boolean parameters 'extenda' and 'extendb' indicate whether the
-shading should extend beyond the axis endpoints 'a' and 'b'.
-
-   Radial gradient shading varying smoothly from 'pena' on the circle
-with center 'a' and radius 'ra' to 'penb' on the circle with center 'b'
-and radius 'rb' is similar:
-void radialshade(picture pic=currentpicture, path g, bool stroke=false,
-                 pen pena, pair a, real ra, bool extenda=true,
-                 pen penb, pair b, real rb, bool extendb=true);
-The boolean parameters 'extenda' and 'extendb' indicate whether the
-shading should extend beyond the radii 'a' and 'b'.  Illustrations of
-radial shading are provided in the example files 'shade.asy',
-'ring.asy', and 'shadestroke.asy'.
-
-   Gouraud shading using fill rule 'fillrule' and the vertex colors in
-the pen array 'p' on a triangular lattice defined by the vertices 'z'
-and edge flags 'edges' is implemented with
-void gouraudshade(picture pic=currentpicture, path g, bool stroke=false,
-                  pen fillrule=currentpen, pen[] p, pair[] z,
-                  int[] edges);
-void gouraudshade(picture pic=currentpicture, path g, bool stroke=false,
-                  pen fillrule=currentpen, pen[] p, int[] edges);
-In the second form, the elements of 'z' are taken to be successive nodes
-of path 'g'.  The pens in 'p' must belong to the same color space.
-Illustrations of Gouraud shading are provided in the example file
-'Gouraud.asy'.  The edge flags used in Gouraud shading are documented
-here:
-     <http://partners.adobe.com/public/developer/en/ps/sdk/TN5600.SmoothShading.pdf>.
-
-   Tensor product shading using fill rule 'fillrule' on patches bounded
-by the n cyclic paths of length 4 in path array 'b', using the vertex
-colors specified in the n \times 4 pen array 'p' and internal control
-points in the n \times 4 array 'z', is implemented with
-void tensorshade(picture pic=currentpicture, path[] g, bool stroke=false,
-                 pen fillrule=currentpen, pen[][] p, path[] b=g,
-                 pair[][] z=new pair[][]);
-If the array 'z' is empty, Coons shading, in which the color control
-points are calculated automatically, is used.  The pens in 'p' must
-belong to the same color space.  A simpler interface for the case of a
-single patch (n=1) is also available:
-void tensorshade(picture pic=currentpicture, path g, bool stroke=false,
-                 pen fillrule=currentpen, pen[] p, path b=g,
-                 pair[] z=new pair[]);
-   One can also smoothly shade the regions between consecutive paths of
-a sequence using a given array of pens:
-void draw(picture pic=currentpicture, pen fillrule=currentpen, path[] g,
-          pen[] p);
-Illustrations of tensor product and Coons shading are provided in the
-example files 'tensor.asy', 'Coons.asy', 'BezierSurface.asy', and
-'rainbow.asy'.
-
-   More general shading possibilities are available using TeX engines
-that produce PDF output (*note texengines::): the routine
-void functionshade(picture pic=currentpicture, path[] g, bool stroke=false,
-                   pen fillrule=currentpen, string shader);
-shades on picture 'pic' the interior of path 'g' according to fill rule
-'fillrule' using the 'PostScript' calculator routine specified by the
-string 'shader'; this routine takes 2 arguments, each in [0,1], and
-returns 'colors(fillrule).length' color components.  Function shading is
-illustrated in the example 'functionshading.asy'.
-
-   The following routine uses 'evenodd' clipping together with the '^^'
-operator to unfill a region:
-
-void unfill(picture pic=currentpicture, path g);
-
-
-File: asymptote.info,  Node: clip,  Next: label,  Prev: fill,  Up: Drawing commands
-
-4.3 clip
-========
-
-void clip(picture pic=currentpicture, path g, stroke=false,
-          pen fillrule=currentpen);
-
-   Clip the current contents of picture 'pic' to the region bounded by
-the path 'g', using fill rule 'fillrule' (*note fillrule::).  If
-'stroke=true', the clipped portion is the same as the region that would
-be drawn with 'draw(pic,g,fillrule+zerowinding)'; in this case the path
-'g' need not be cyclic.  For an illustration of picture clipping, see
-the first example in *note LaTeX usage::.
-
-
-File: asymptote.info,  Node: label,  Prev: clip,  Up: Drawing commands
-
-4.4 label
-=========
-
-void label(picture pic=currentpicture, Label L, pair position,
-           align align=NoAlign, pen p=currentpen, filltype filltype=NoFill)
-
-   Draw Label 'L' on picture 'pic' using pen 'p'.  If 'align' is
-'NoAlign', the label will be centered at user coordinate 'position';
-otherwise it will be aligned in the direction of 'align' and displaced
-from 'position' by the 'PostScript' offset 'align*labelmargin(p)'.  The
-constant 'Align' can be used to align the bottom-left corner of the
-label at 'position'.  The Label 'L' can either be a string or the
-structure obtained by calling one of the functions
-Label Label(string s="", pair position, align align=NoAlign,
-            pen p=nullpen, embed embed=Rotate, filltype filltype=NoFill);
-Label Label(string s="", align align=NoAlign,
-            pen p=nullpen, embed embed=Rotate, filltype filltype=NoFill);
-Label Label(Label L, pair position, align align=NoAlign,
-            pen p=nullpen, embed embed=L.embed, filltype filltype=NoFill);
-Label Label(Label L, align align=NoAlign,
-            pen p=nullpen, embed embed=L.embed, filltype filltype=NoFill);
-   The text of a Label can be scaled, slanted, rotated, or shifted by
-multiplying it on the left by an affine transform (*note Transforms::).
-For example, 'rotate(45)*xscale(2)*L' first scales 'L' in the x
-direction and then rotates it counterclockwise by 45 degrees.  The final
-position of a Label can also be shifted by a 'PostScript' coordinate
-translation: 'shift(10,0)*L'.  An explicit pen specified within the
-Label overrides other pen arguments.  The 'embed' argument determines
-how the Label should transform with the embedding picture:
-'Shift'
-     only shift with embedding picture;
-
-'Rotate'
-     only shift and rotate with embedding picture (default);
-
-'Rotate(pair z)'
-     rotate with (picture-transformed) vector 'z'.
-
-'Slant'
-     only shift, rotate, slant, and reflect with embedding picture;
-
-'Scale'
-     shift, rotate, slant, reflect, and scale with embedding picture.
-
-   To add a label to a path, use
-void label(picture pic=currentpicture, Label L, path g, align align=NoAlign,
-           pen p=currentpen, filltype filltype=NoFill);
-   By default the label will be positioned at the midpoint of the path.
-An alternative label position (in the sense of 'point(path p, real t)')
-may be specified as a real value for 'position' in constructing the
-Label.  The position 'Relative(real)' specifies a location relative to
-the total arclength of the path.  These convenient abbreviations are
-predefined:
-position BeginPoint=Relative(0);
-position MidPoint=Relative(0.5);
-position EndPoint=Relative(1);
-
-   Path labels are aligned in the direction 'align', which may be
-specified as an absolute compass direction (pair) or a direction
-'Relative(pair)' measured relative to a north axis in the local
-direction of the path.  For convenience 'LeftSide', 'Center', and
-'RightSide' are defined as 'Relative(W)', 'Relative((0,0))', and
-'Relative(E)', respectively.  Multiplying 'LeftSide' and 'RightSide' on
-the left by a real scaling factor will move the label further away from
-or closer to the path.
-
-   A label with a fixed-size arrow of length 'arrowlength' pointing to
-'b' from direction 'dir' can be produced with the routine
-void arrow(picture pic=currentpicture, Label L="", pair b, pair dir,
-           real length=arrowlength, align align=NoAlign,
-           pen p=currentpen, arrowbar arrow=Arrow, margin margin=EndMargin);
-   If no alignment is specified (either in the Label or as an explicit
-argument), the optional Label will be aligned in the direction 'dir',
-using margin 'margin'.
-
-   The function 'string graphic(string name, string options="")' returns
-a string that can be used to include an encapsulated 'PostScript' (EPS)
-file.  Here, 'name' is the name of the file to include and 'options' is
-a string containing a comma-separated list of optional bounding box
-('bb=llx lly urx ury'), width ('width=value'), height ('height=value'),
-rotation ('angle=value'), scaling ('scale=factor'), clipping
-('clip=bool'), and draft mode ('draft=bool') parameters.  The 'layer()'
-function can be used to force future objects to be drawn on top of the
-included image:
-label(graphic("file.eps","width=1cm"),(0,0),NE);
-layer();
-
-   The 'string baseline(string s, string template="\strut")' function
-can be used to enlarge the bounding box of labels to match a given
-template, so that their baselines will be typeset on a horizontal line.
-See 'Pythagoras.asy' for an example.
-
-   One can prevent labels from overwriting one another with the
-'overwrite' pen attribute (*note overwrite::).
-
-   The structure 'object' defined in 'plain_Label.asy' allows Labels and
-frames to be treated in a uniform manner.  A group of objects may be
-packed together into single frame with the routine
-frame pack(pair align=2S ... object inset[]);
-To draw or fill a box (or ellipse or other path) around a Label and
-return the bounding object, use one of the routines
-object draw(picture pic=currentpicture, Label L, envelope e, 
-            real xmargin=0, real ymargin=xmargin, pen p=currentpen,
-            filltype filltype=NoFill, bool above=true);
-object draw(picture pic=currentpicture, Label L, envelope e, pair position,
-            real xmargin=0, real ymargin=xmargin, pen p=currentpen,
-            filltype filltype=NoFill, bool above=true);
-Here 'envelope' is a boundary-drawing routine such as 'box', 'roundbox',
-or 'ellipse' defined in 'plain_boxes.asy' (*note envelope::).
-
-   The function 'path[] texpath(Label L)' returns the path array that
-TeX would fill to draw the Label 'L'.
-
-   The 'string minipage(string s, width=100pt)' function can be used to
-format string 's' into a paragraph of width 'width'.  This example uses
-'minipage', 'clip', and 'graphic' to produce a CD label:
-
-                               [CDlabel]
-size(11.7cm,11.7cm);
-asy(nativeformat(),"logo");
-fill(unitcircle^^(scale(2/11.7)*unitcircle),
-     evenodd+rgb(124/255,205/255,124/255));
-label(scale(1.1)*minipage(
-"\centering\scriptsize \textbf{\LARGE {\tt Asymptote}\\
-\smallskip
-\small The Vector Graphics Language}\\
-\smallskip
-\textsc{Andy Hammerlindl, John Bowman, and Tom Prince}
-http://asymptote.sourceforge.net\\
-",8cm),(0,0.6));
-label(graphic("logo."+nativeformat(),"height=7cm"),(0,-0.22));
-clip(unitcircle^^(scale(2/11.7)*unitcircle),evenodd);
-
-
-File: asymptote.info,  Node: Bezier curves,  Next: Programming,  Prev: Drawing commands,  Up: Top
-
-5 Bezier curves
-***************
-
-Each interior node of a cubic spline may be given a direction prefix or
-suffix '{dir}': the direction of the pair 'dir' specifies the direction
-of the incoming or outgoing tangent, respectively, to the curve at that
-node.  Exterior nodes may be given direction specifiers only on their
-interior side.
-
-   A cubic spline between the node z_0, with postcontrol point c_0, and
-the node z_1, with precontrol point c_1, is computed as the Bezier curve
-
-   [(1-t)^3*z_0+3t(1-t)^2*c_0+3t^2(1-t)*c_1+t^3*z_1 for 0 <=t <= 1.]
-
-   As illustrated in the diagram below, the third-order midpoint (m_5)
-constructed from two endpoints z_0 and z_1 and two control points c_0
-and c_1, is the point corresponding to t=1/2 on the Bezier curve formed
-by the quadruple (z_0, c_0, c_1, z_1).  This allows one to recursively
-construct the desired curve, by using the newly extracted third-order
-midpoint as an endpoint and the respective second- and first-order
-midpoints as control points:
-
-                               [bezier2]
-
-   Here m_0, m_1 and m_2 are the first-order midpoints, m_3 and m_4 are
-the second-order midpoints, and m_5 is the third-order midpoint.  The
-curve is then constructed by recursively applying the algorithm to (z_0,
-m_0, m_3, m_5) and (m_5, m_4, m_2, z_1).
-
-   In fact, an analogous property holds for points located at any
-fraction t in [0,1] of each segment, not just for midpoints (t=1/2).
-
-   The Bezier curve constructed in this manner has the following
-properties:
-
-   * It is entirely contained in the convex hull of the given four
-     points.
-
-   * It starts heading from the first endpoint to the first control
-     point and finishes heading from the second control point to the
-     second endpoint.
-
-   The user can specify explicit control points between two nodes like
-this:
-draw((0,0)..controls (0,100) and (100,100)..(100,0));
-
-   However, it is usually more convenient to just use the '..' operator,
-which tells 'Asymptote' to choose its own control points using the
-algorithms described in Donald Knuth's monograph, The MetaFontbook,
-Chapter 14.  The user can still customize the guide (or path) by
-specifying direction, tension, and curl values.
-
-   The higher the tension, the straighter the curve is, and the more it
-approximates a straight line.  One can change the spline tension from
-its default value of 1 to any real value greater than or equal to 0.75
-(cf.  John D. Hobby, Discrete and Computational Geometry 1, 1986):
-draw((100,0)..tension 2 ..(100,100)..(0,100));
-draw((100,0)..tension 3 and 2 ..(100,100)..(0,100));
-draw((100,0)..tension atleast 2 ..(100,100)..(0,100));
-
-   In these examples there is a space between '2' and '..'.  This is
-needed as '2.' is interpreted as a numerical constant.
-
-   The curl parameter specifies the curvature at the endpoints of a path
-(0 means straight; the default value of 1 means approximately circular):
-draw((100,0){curl 0}..(100,100)..{curl 0}(0,100));
-
-   The 'MetaPost ...' path connector, which requests, when possible, an
-inflection-free curve confined to a triangle defined by the endpoints
-and directions, is implemented in 'Asymptote' as the convenient
-abbreviation '::' for '..tension atleast 1 ..' (the ellipsis '...' is
-used in 'Asymptote' to indicate a variable number of arguments; *note
-Rest arguments::).  For example, compare
-draw((0,0){up}..(100,25){right}..(200,0){down});
-
-                                [dots]
-with
-draw((0,0){up}::(100,25){right}::(200,0){down});
-
-                               [colons]
-
-   The '---' connector is an abbreviation for '..tension atleast
-infinity..' and the '&' connector concatenates two paths, after first
-stripping off the last node of the first path (which normally should
-coincide with the first node of the second path).
-
-
-File: asymptote.info,  Node: Programming,  Next: LaTeX usage,  Prev: Bezier curves,  Up: Top
-
-6 Programming
-*************
-
-* Menu:
-
-* Data types::                  void, bool, int, real, pair, triple, string
-* Paths and guides::            Bezier curves
-* Pens::                        Colors, line types, line widths, font sizes
-* Transforms::                  Affine transforms
-* Frames and pictures::         Canvases for immediate and deferred drawing
-* Files::                       Reading and writing your data
-* Variable initializers::       Initialize your variables
-* Structures::                  Organize your data
-* Operators::                   Arithmetic and logical operators
-* Implicit scaling::            Avoiding those ugly *s
-* Functions::                   Traditional and high-order functions
-* Arrays::                      Dynamic vectors
-* Casts::                       Implicit and explicit casts
-* Import::                      Importing external 'Asymptote' modules
-* Static::                      Where to allocate your variable?
-
-Here is a short introductory example to the 'Asymptote' programming
-language that highlights the similarity of its control structures with
-those of C, C++, and Java:
-// This is a comment.
-
-// Declaration: Declare x to be a real variable;
-real x;
-
-// Assignment: Assign the real variable x the value 1.
-x=1.0;
-
-// Conditional: Test if x equals 1 or not.
-if(x == 1.0) {
-  write("x equals 1.0");
-} else {
-  write("x is not equal to 1.0");
-}
-
-// Loop: iterate 10 times
-for(int i=0; i < 10; ++i) {
-  write(i);
-}
-
-
-   'Asymptote' supports 'while', 'do', 'break', and 'continue'
-statements just as in C/C++.  It also supports the Java-style shorthand
-for iterating over all elements of an array:
-
-// Iterate over an array
-int[] array={1,1,2,3,5};
-for(int k : array) {
-  write(k);
-}
-In addition, it supports many features beyond the ones found in those
-languages.
-
-
-File: asymptote.info,  Node: Data types,  Next: Paths and guides,  Prev: Programming,  Up: Programming
-
-6.1 Data types
-==============
-
-'Asymptote' supports the following data types (in addition to
-user-defined types):
-
-'void'
-     The void type is used only by functions that take or return no
-     arguments.
-
-'bool'
-     a boolean type that can only take on the values 'true' or 'false'.
-     For example:
-     bool b=true;
-
-     defines a boolean variable 'b' and initializes it to the value
-     'true'.  If no initializer is given:
-     bool b;
-
-     the value 'false' is assumed.
-
-'bool3'
-     an extended boolean type that can take on the values 'true',
-     'default', or 'false'.  A bool3 type can be cast to or from a bool.
-     The default initializer for bool3 is 'default'.
-
-'int'
-     an integer type; if no initializer is given, the implicit value '0'
-     is assumed.  The minimum allowed value of an integer is 'intMin'
-     and the maximum value is 'intMax'.
-
-'real'
-     a real number; this should be set to the highest-precision native
-     floating-point type on the architecture.  The implicit initializer
-     for reals is '0.0'.  Real numbers have precision 'realEpsilon',
-     with 'realDigits' significant digits.  The smallest positive real
-     number is 'realMin' and the largest positive real number is
-     'realMax'.  The variables 'inf' and 'nan', along with the function
-     'bool isnan(real x)' are useful when floating-point exceptions are
-     masked with the '-mask' command-line option (the default in
-     interactive mode).
-
-'pair'
-     complex number, that is, an ordered pair of real components
-     '(x,y)'.  The real and imaginary parts of a pair 'z' can read as
-     'z.x' and 'z.y'.  We say that 'x' and 'y' are virtual members of
-     the data element pair; they cannot be directly modified, however.
-     The implicit initializer for pairs is '(0.0,0.0)'.
-
-     There are a number of ways to take the complex conjugate of a pair:
-          pair z=(3,4);
-          z=(z.x,-z.y);
-          z=z.x-I*z.y;
-          z=conj(z);
-
-     Here 'I' is the pair '(0,1)'.  A number of built-in functions are
-     defined for pairs:
-
-     'pair conj(pair z)'
-          returns the conjugate of 'z';
-
-     'real length(pair z)'
-          returns the complex modulus '|z|' of its argument 'z'.  For
-          example,
-               pair z=(3,4);
-               length(z);
-          returns the result 5.  A synonym for 'length(pair)' is
-          'abs(pair)';
-
-     'real angle(pair z, bool warn=true)'
-          returns the angle of 'z' in radians in the interval
-          [-'pi','pi'] or '0' if 'warn' is 'false' and 'z=(0,0)' (rather
-          than producing an error);
-
-     'real degrees(pair z, bool warn=true)'
-          returns the angle of 'z' in degrees in the interval [0,360) or
-          '0' if 'warn' is 'false' and 'z=(0,0)' (rather than producing
-          an error);
-
-     'pair unit(pair z)'
-          returns a unit vector in the direction of the pair 'z';
-
-     'pair expi(real angle)'
-          returns a unit vector in the direction 'angle' measured in
-          radians;
-
-     'pair dir(real degrees)'
-          returns a unit vector in the direction 'degrees' measured in
-          degrees;
-
-     'real xpart(pair z)'
-          returns 'z.x';
-
-     'real ypart(pair z)'
-          returns 'z.y';
-
-     'pair realmult(pair z, pair w)'
-          returns the element-by-element product '(z.x*w.x,z.y*w.y)';
-
-     'real dot(explicit pair z, explicit pair w)'
-          returns the dot product 'z.x*w.x+z.y*w.y';
-
-     'real cross(explicit pair z, explicit pair w)'
-          returns the 2D scalar product 'z.x*w.y-z.y*w.x';
-
-     'real orient(pair a, pair b, pair c);'
-          returns a positive (negative) value if 'a--b--c--cycle' is
-          oriented counterclockwise (clockwise) or zero if all three
-          points are colinear.  Equivalently, a positive (negative)
-          value is returned if 'c' lies to the left (right) of the line
-          through 'a' and 'b' or zero if 'c' lies on this line.  The
-          value returned can be expressed in terms of the 2D scalar
-          cross product as 'cross(a-c,b-c)', which is the determinant
-          |a.x a.y 1|
-          |b.x b.y 1|
-          |c.x c.y 1|
-
-     'real incircle(pair a, pair b, pair c, pair d);'
-          returns a positive (negative) value if 'd' lies inside
-          (outside) the circle passing through the
-          counterclockwise-oriented points 'a,b,c' or zero if 'd' lies
-          on the this circle.  The value returned is the determinant
-          |a.x a.y a.x^2+a.y^2 1|
-          |b.x b.y b.x^2+b.y^2 1|
-          |c.x c.y c.x^2+c.y^2 1|
-          |d.x d.y d.x^2+d.y^2 1|
-
-     'pair minbound(pair z, pair w)'
-          returns '(min(z.x,w.x),min(z.y,w.y))';
-
-     'pair maxbound(pair z, pair w)'
-          returns '(max(z.x,w.x),max(z.y,w.y))'.
-
-'triple'
-     an ordered triple of real components '(x,y,z)' used for
-     three-dimensional drawings.  The respective components of a triple
-     'v' can read as 'v.x', 'v.y', and 'v.z'.  The implicit initializer
-     for triples is '(0.0,0.0,0.0)'.
-
-     Here are the built-in functions for triples:
-     'real length(triple v)'
-          returns the length '|v|' of the vector 'v'.  A synonym for
-          'length(triple)' is 'abs(triple)';
-
-     'real polar(triple v, bool warn=true)'
-          returns the colatitude of 'v' measured from the z axis in
-          radians or '0' if 'warn' is 'false' and 'v=O' (rather than
-          producing an error);
-
-     'real azimuth(triple v, bool warn=true)'
-          returns the longitude of 'v' measured from the x axis in
-          radians or '0' if 'warn' is 'false' and 'v.x=v.y=0' (rather
-          than producing an error);
-
-     'real colatitude(triple v, bool warn=true)'
-          returns the colatitude of 'v' measured from the z axis in
-          degrees or '0' if 'warn' is 'false' and 'v=O' (rather than
-          producing an error);
-
-     'real latitude(triple v, bool warn=true)'
-          returns the latitude of 'v' measured from the xy plane in
-          degrees or '0' if 'warn' is 'false' and 'v=O' (rather than
-          producing an error);
-
-     'real longitude(triple v, bool warn=true)'
-          returns the longitude of 'v' measured from the x axis in
-          degrees or '0' if 'warn' is 'false' and 'v.x=v.y=0' (rather
-          than producing an error);
-
-     'triple unit(triple v)'
-          returns a unit triple in the direction of the triple 'v';
-
-     'triple expi(real polar, real azimuth)'
-          returns a unit triple in the direction '(polar,azimuth)'
-          measured in radians;
-
-     'triple dir(real colatitude, real longitude)'
-          returns a unit triple in the direction
-          '(colatitude,longitude)' measured in degrees;
-
-     'real xpart(triple v)'
-          returns 'v.x';
-
-     'real ypart(triple v)'
-          returns 'v.y';
-
-     'real zpart(triple v)'
-          returns 'v.z';
-
-     'real dot(triple u, triple v)'
-          returns the dot product 'u.x*v.x+u.y*v.y+u.z*v.z';
-
-     'triple cross(triple u, triple v)'
-          returns the cross product
-
-          '(u.y*v.z-u.z*v.y,u.z*v.x-u.x*v.z,u.x*v.y-v.x*u.y)';
-
-     'triple minbound(triple u, triple v)'
-          returns '(min(u.x,v.x),min(u.y,v.y),min(u.z,v.z))';
-
-     'triple maxbound(triple u, triple v)'
-          returns '(max(u.x,v.x),max(u.y,v.y),max(u.z,v.z)').
-
-'string'
-     a character string, implemented using the STL 'string' class.
-
-     Strings delimited by double quotes ('"') are subject to the
-     following mappings to allow the use of double quotes in TeX
-     (e.g. for using the 'babel' package, *note babel::):
-
-        * \" maps to "
-        * \\ maps to \\
-
-     Strings delimited by single quotes (''') have the same mappings as
-     character strings in ANSI 'C':
-
-        * \' maps to '
-        * \" maps to "
-        * \?  maps to ?
-        * \\ maps to backslash
-        * \a maps to alert
-        * \b maps to backspace
-        * \f maps to form feed
-        * \n maps to newline
-        * \r maps to carriage return
-        * \t maps to tab
-        * \v maps to vertical tab
-        * \0-\377 map to corresponding octal byte
-        * \x0-\xFF map to corresponding hexadecimal byte
-
-     The implicit initializer for strings is the empty string '""'.
-     Strings may be concatenated with the '+' operator.  In the
-     following string functions, position '0' denotes the start of the
-     string:
-
-     'int length(string s)'
-          returns the length of the string 's';
-
-     'int find(string s, string t, int pos=0)'
-          returns the position of the first occurrence of string 't' in
-          string 's' at or after position 'pos', or -1 if 't' is not a
-          substring of 's';
-
-     'int rfind(string s, string t, int pos=-1)'
-          returns the position of the last occurrence of string 't' in
-          string 's' at or before position 'pos' (if 'pos'=-1, at the
-          end of the string 's'), or -1 if 't' is not a substring of
-          's';
-
-     'string insert(string s, int pos, string t)'
-          returns the string formed by inserting string 't' at position
-          'pos' in 's';
-
-     'string erase(string s, int pos, int n)'
-          returns the string formed by erasing the string of length 'n'
-          (if 'n'=-1, to the end of the string 's') at position 'pos' in
-          's';
-
-     'string substr(string s, int pos, int n=-1)'
-          returns the substring of 's' starting at position 'pos' and of
-          length 'n' (if 'n'=-1, until the end of the string 's');
-
-     'string reverse(string s)'
-          returns the string formed by reversing string 's';
-
-     'string replace(string s, string before, string after)'
-          returns a string with all occurrences of the string 'before'
-          in the string 's' changed to the string 'after';
-
-     'string replace(string s, string[][] table)'
-          returns a string constructed by translating in string 's' all
-          occurrences of the string 'before' in an array 'table' of
-          string pairs {'before','after'} to the corresponding string
-          'after';
-
-     'string[] split(string s, string delimiter="")'
-          returns an array of strings obtained by splitting 's' into
-          substrings delimited by 'delimiter' (an empty delimiter
-          signifies a space, but with duplicate delimiters discarded);
-
-     'string[] array(string s)'
-          returns an array of strings obtained by splitting 's' into
-          individual characters.  The inverse operation is provided by
-          'operator +(...string[] a)'.
-
-     'string format(string s, int n, string locale="")'
-          returns a string containing 'n' formatted according to the
-          C-style format string 's' using locale 'locale' (or the
-          current locale if an empty string is specified), following the
-          behaviour of the C function 'fprintf'), except that only one
-          data field is allowed.
-
-     'string format(string s=defaultformat, bool forcemath=false, string s=defaultseparator, real x, string locale="")'
-          returns a string containing 'x' formatted according to the
-          C-style format string 's' using locale 'locale' (or the
-          current locale if an empty string is specified), following the
-          behaviour of the C function 'fprintf'), except that only one
-          data field is allowed, trailing zeros are removed by default
-          (unless '#' is specified), and if 's' specifies math mode or
-          'forcemath=true', TeX is used to typeset scientific notation
-          using the 'defaultseparator="\!\times\!";';
-
-     'int hex(string s);'
-          casts a hexidecimal string 's' to an integer;
-
-     'int ascii(string s);'
-          returns the ASCII code for the first character of string 's';
-
-     'string string(real x, int digits=realDigits)'
-          casts 'x' to a string using precision 'digits' and the C
-          locale;
-
-     'string locale(string s="")'
-          sets the locale to the given string, if nonempty, and returns
-          the current locale;
-
-     'string time(string format="%a %b %d %T %Z %Y")'
-          returns the current time formatted by the ANSI C routine
-          'strftime' according to the string 'format' using the current
-          locale.  Thus
-          time();
-          time("%a %b %d %H:%M:%S %Z %Y");
-
-          are equivalent ways of returning the current time in the
-          default format used by the 'UNIX' 'date' command;
-
-     'int seconds(string t="", string format="")'
-          returns the time measured in seconds after the Epoch (Thu Jan
-          01 00:00:00 UTC 1970) as determined by the ANSI C routine
-          'strptime' according to the string 'format' using the current
-          locale, or the current time if 't' is the empty string.  Note
-          that the '"%Z"' extension to the POSIX 'strptime'
-          specification is ignored by the current GNU C Library.  If an
-          error occurs, the value -1 is returned.  Here are some
-          examples:
-          seconds("Mar 02 11:12:36 AM PST 2007","%b %d %r PST %Y");
-          seconds(time("%b %d %r %z %Y"),"%b %d %r %z %Y");
-          seconds(time("%b %d %r %Z %Y"),"%b %d %r "+time("%Z")+" %Y");
-          1+(seconds()-seconds("Jan 1","%b %d"))/(24*60*60);
-          The last example returns today's ordinal date, measured from
-          the beginning of the year.
-
-     'string time(int seconds, string format="%a %b %d %T %Z %Y")'
-          returns the time corresponding to 'seconds' seconds after the
-          Epoch (Thu Jan 01 00:00:00 UTC 1970) formatted by the ANSI C
-          routine 'strftime' according to the string 'format' using the
-          current locale.  For example, to return the date corresponding
-          to 24 hours ago:
-          time(seconds()-24*60*60);
-
-     'int system(string s)'
-     'int system(string[] s)'
-          if the setting 'safe' is false, call the arbitrary system
-          command 's';
-
-     'void asy(string format, bool overwrite=false ... string[] s)'
-          conditionally process each file name in array 's' in a new
-          environment, using format 'format', overwriting the output
-          file only if 'overwrite' is true;
-
-     'void abort(string s="")'
-          aborts execution (with a non-zero return code in batch mode);
-          if string 's' is nonempty, a diagnostic message constructed
-          from the source file, line number, and 's' is printed;
-
-     'void assert(bool b, string s="")'
-          aborts execution with an error message constructed from 's' if
-          'b=false';
-
-     'void exit()'
-          exits (with a zero error return code in batch mode);
-
-     'void sleep(int seconds)'
-          pauses for the given number of seconds;
-
-     'void usleep(int microseconds)'
-          pauses for the given number of microseconds;
-
-     'void beep()'
-          produces a beep on the console;
-
-   As in C/C++, complicated types may be abbreviated with 'typedef' (see
-the example in *note Functions::).
-
-
-File: asymptote.info,  Node: Paths and guides,  Next: Pens,  Prev: Data types,  Up: Programming
-
-6.2 Paths and guides
-====================
-
-'path'
-     a cubic spline resolved into a fixed path.  The implicit
-     initializer for paths is 'nullpath'.
-
-     For example, the routine 'circle(pair c, real r)', which returns a
-     Bezier curve approximating a circle of radius 'r' centered on 'c',
-     is based on 'unitcircle' (*note unitcircle::):
-     path circle(pair c, real r)
-     {
-       return shift(c)*scale(r)*unitcircle;
-     }
-     If high accuracy is needed, a true circle may be produced with the
-     routine 'Circle' defined in the module 'graph.asy':
-     import graph;
-     path Circle(pair c, real r, int n=nCircle);
-
-     A circular arc consistent with 'circle' centered on 'c' with radius
-     'r' from 'angle1' to 'angle2' degrees, drawing counterclockwise if
-     'angle2 >= angle1', can be constructed with
-     path arc(pair c, real r, real angle1, real angle2);
-     One may also specify the direction explicitly:
-     path arc(pair c, real r, real angle1, real angle2, bool direction);
-     Here the direction can be specified as CCW (counter-clockwise) or
-     CW (clockwise).  For convenience, an arc centered at 'c' from pair
-     'z1' to 'z2' (assuming '|z2-c|=|z1-c|') in the may also be
-     constructed with
-     path arc(pair c, explicit pair z1, explicit pair z2,
-              bool direction=CCW)
-
-     If high accuracy is needed, true arcs may be produced with routines
-     in the module 'graph.asy' that produce Bezier curves with 'n'
-     control points:
-     import graph;
-     path Arc(pair c, real r, real angle1, real angle2, bool direction,
-              int n=nCircle);
-     path Arc(pair c, real r, real angle1, real angle2, int n=nCircle);
-     path Arc(pair c, explicit pair z1, explicit pair z2,
-              bool direction=CCW, int n=nCircle);
-
-     An ellipse can be drawn with the routine
-     path ellipse(pair c, real a, real b)
-     {
-       return shift(c)*scale(a,b)*unitcircle;
-     }
-
-     A brace can be constructed between pairs 'a' and 'b' with
-     path brace(pair a, pair b, real amplitude=bracedefaultratio*length(b-a));
-
-     This example illustrates the use of all five guide connectors
-     discussed in *note Tutorial:: and *note Bezier curves:::
-     size(300,0);
-     pair[] z=new pair[10];
-     
-     z[0]=(0,100); z[1]=(50,0); z[2]=(180,0);
-     
-     for(int n=3; n <= 9; ++n)
-       z[n]=z[n-3]+(200,0);
-     
-     path p=z[0]..z[1]---z[2]::{up}z[3]
-     &z[3]..z[4]--z[5]::{up}z[6]
-     &z[6]::z[7]---z[8]..{up}z[9];
-     
-     draw(p,grey+linewidth(4mm));
-     
-     dot(z);
-
-                                [join]
-
-     Here are some useful functions for paths:
-
-     'int length(path p);'
-          This is the number of (linear or cubic) segments in path 'p'.
-          If 'p' is cyclic, this is the same as the number of nodes in
-          'p'.
-
-     'int size(path p);'
-          This is the number of nodes in the path 'p'.  If 'p' is
-          cyclic, this is the same as 'length(p)'.
-
-     'bool cyclic(path p);'
-          returns 'true' iff path 'p' is cyclic.
-
-     'bool straight(path p, int i);'
-          returns 'true' iff the segment of path 'p' between node 'i'
-          and node 'i+1' is straight.
-
-     'bool piecewisestraight(path p)'
-          returns 'true' iff the path 'p' is piecewise straight.
-
-     'pair point(path p, int t);'
-          If 'p' is cyclic, return the coordinates of node 't' mod
-          'length(p)'.  Otherwise, return the coordinates of node 't',
-          unless 't' < 0 (in which case 'point(0)' is returned) or 't' >
-          'length(p)' (in which case 'point(length(p))' is returned).
-
-     'pair point(path p, real t);'
-          This returns the coordinates of the point between node
-          'floor(t)' and 'floor(t)+1' corresponding to the cubic spline
-          parameter 't-floor(t)' (*note Bezier curves::).  If 't' lies
-          outside the range [0,'length(p)'], it is first reduced modulo
-          'length(p)' in the case where 'p' is cyclic or else converted
-          to the corresponding endpoint of 'p'.
-
-     'pair dir(path p, int t, int sign=0, bool normalize=true);'
-          If 'sign < 0', return the direction (as a pair) of the
-          incoming tangent to path 'p' at node 't'; if 'sign > 0',
-          return the direction of the outgoing tangent.  If 'sign=0',
-          the mean of these two directions is returned.
-
-     'pair dir(path p, real t, bool normalize=true);'
-          returns the direction of the tangent to path 'p' at the point
-          between node 'floor(t)' and 'floor(t)+1' corresponding to the
-          cubic spline parameter 't-floor(t)' (*note Bezier curves::).
-
-     'pair dir(path p)'
-          returns dir(p,length(p)).
-
-     'pair dir(path p, path q)'
-          returns unit(dir(p)+dir(q)).
-
-     'pair accel(path p, int t, int sign=0);'
-          If 'sign < 0', return the acceleration of the incoming path
-          'p' at node 't'; if 'sign > 0', return the acceleration of the
-          outgoing path.  If 'sign=0', the mean of these two
-          accelerations is returned.
-
-     'pair accel(path p, real t);'
-          returns the acceleration of the path 'p' at the point 't'.
-
-     'real radius(path p, real t);'
-          returns the radius of curvature of the path 'p' at the point
-          't'.
-
-     'pair precontrol(path p, int t);'
-          returns the precontrol point of 'p' at node 't'.
-
-     'pair precontrol(path p, real t);'
-          returns the effective precontrol point of 'p' at parameter
-          't'.
-
-     'pair postcontrol(path p, int t);'
-          returns the postcontrol point of 'p' at node 't'.
-
-     'pair postcontrol(path p, real t);'
-          returns the effective postcontrol point of 'p' at parameter
-          't'.
-
-     'real arclength(path p);'
-          returns the length (in user coordinates) of the piecewise
-          linear or cubic curve that path 'p' represents.
-
-     'real arctime(path p, real L);'
-          returns the path "time", a real number between 0 and the
-          length of the path in the sense of 'point(path p, real t)', at
-          which the cumulative arclength (measured from the beginning of
-          the path) equals 'L'.
-
-     'real arcpoint(path p, real L);'
-          returns 'point(p,arctime(p,L))'.
-
-     'real dirtime(path p, pair z);'
-          returns the first "time", a real number between 0 and the
-          length of the path in the sense of 'point(path, real)', at
-          which the tangent to the path has the direction of pair 'z',
-          or -1 if this never happens.
-
-     'real reltime(path p, real l);'
-          returns the time on path 'p' at the relative fraction 'l' of
-          its arclength.
-
-     'pair relpoint(path p, real l);'
-          returns the point on path 'p' at the relative fraction 'l' of
-          its arclength.
-
-     'pair midpoint(path p);'
-          returns the point on path 'p' at half of its arclength.
-
-     'path reverse(path p);'
-          returns a path running backwards along 'p'.
-
-     'path subpath(path p, int a, int b);'
-          returns the subpath of 'p' running from node 'a' to node 'b'.
-          If 'a' < 'b', the direction of the subpath is reversed.
-
-     'path subpath(path p, real a, real b);'
-          returns the subpath of 'p' running from path time 'a' to path
-          time 'b', in the sense of 'point(path, real)'.  If 'a' < 'b',
-          the direction of the subpath is reversed.
-
-     'real[] intersect(path p, path q, real fuzz=-1);'
-          If 'p' and 'q' have at least one intersection point, return a
-          real array of length 2 containing the times representing the
-          respective path times along 'p' and 'q', in the sense of
-          'point(path, real)', for one such intersection point (as
-          chosen by the algorithm described on page 137 of 'The
-          MetaFontbook').  The computations are performed to the
-          absolute error specified by 'fuzz', or if 'fuzz < 0', to
-          machine precision.  If the paths do not intersect, return a
-          real array of length 0.
-
-     'real[][] intersections(path p, path q, real fuzz=-1);'
-          Return all (unless there are infinitely many) intersection
-          times of paths 'p' and 'q' as a sorted array of real arrays of
-          length 2 (*note sort::).  The computations are performed to
-          the absolute error specified by 'fuzz', or if 'fuzz < 0', to
-          machine precision.
-
-     'real[] intersections(path p, explicit pair a, explicit pair b, real fuzz=-1);'
-          Return all (unless there are infinitely many) intersection
-          times of path 'p' with the (infinite) line through points 'a'
-          and 'b' as a sorted array.  The intersections returned are
-          guaranteed to be correct to within the absolute error
-          specified by 'fuzz', or if 'fuzz < 0', to machine precision.
-
-     'real[] times(path p, real x)'
-          returns all intersection times of path 'p' with the vertical
-          line through '(x,0)'.
-
-     'real[] times(path p, explicit pair z)'
-          returns all intersection times of path 'p' with the horizontal
-          line through '(0,z.y)'.
-
-     'real[] mintimes(path p)'
-          returns an array of length 2 containing times at which path
-          'p' reaches its minimal horizontal and vertical extents,
-          respectively.
-
-     'real[] maxtimes(path p)'
-          returns an array of length 2 containing times at which path
-          'p' reaches its maximal horizontal and vertical extents,
-          respectively.
-
-     'pair intersectionpoint(path p, path q, real fuzz=-1);'
-          returns the intersection point
-          'point(p,intersect(p,q,fuzz)[0])'.
-
-     'pair[] intersectionpoints(path p, path q, real fuzz=-1);'
-          returns an array containing all intersection points of the
-          paths 'p' and 'q'.
-
-     'pair extension(pair P, pair Q, pair p, pair q);'
-          returns the intersection point of the extensions of the line
-          segments 'P--Q' and 'p--q', or if the lines are parallel,
-          '(infinity,infinity)'.
-
-     'slice cut(path p, path knife, int n);'
-          returns the portions of path 'p' before and after the 'n'th
-          intersection of 'p' with path 'knife' as a structure 'slice'
-          (if no intersection exist is found, the entire path is
-          considered to be 'before' the intersection):
-          struct slice {
-            path before,after;
-          }
-          The argument 'n' is treated as modulo the number of
-          intersections.
-
-     'slice firstcut(path p, path knife);'
-          equivalent to 'cut(p,knife,0);' Note that 'firstcut.after'
-          plays the role of the 'MetaPost cutbefore' command.
-
-     'slice lastcut(path p, path knife);'
-          equivalent to 'cut(p,knife,-1);' Note that 'lastcut.before'
-          plays the role of the 'MetaPost cutafter' command.
-
-     'path buildcycle(... path[] p);'
-          This returns the path surrounding a region bounded by a list
-          of two or more consecutively intersecting paths, following the
-          behaviour of the 'MetaPost buildcycle' command.
-
-     'pair min(path p);'
-          returns the pair (left,bottom) for the path bounding box of
-          path 'p'.
-
-     'pair max(path p);'
-          returns the pair (right,top) for the path bounding box of path
-          'p'.
-
-     'int windingnumber(path p, pair z);'
-          returns the winding number of the cyclic path 'p' relative to
-          the point 'z'.  The winding number is positive if the path
-          encircles 'z' in the counterclockwise direction.  If 'z' lies
-          on 'p' the constant 'undefined' (defined to be the largest odd
-          integer) is returned.
-
-     'bool interior(int windingnumber, pen fillrule)'
-          returns true if 'windingnumber' corresponds to an interior
-          point according to 'fillrule'.
-
-     'bool inside(path p, pair z, pen fillrule=currentpen);'
-          returns 'true' iff the point 'z' lies inside or on the edge of
-          the region bounded by the cyclic path 'p' according to the
-          fill rule 'fillrule' (*note fillrule::).
-
-     'int inside(path p, path q, pen fillrule=currentpen);'
-          returns '1' if the cyclic path 'p' strictly contains 'q'
-          according to the fill rule 'fillrule' (*note fillrule::), '-1'
-          if the cyclic path 'q' strictly contains 'p', and '0'
-          otherwise.
-
-     'pair inside(path p, pen fillrule=currentpen);'
-          returns an arbitrary point strictly inside a cyclic path 'p'
-          according to the fill rule 'fillrule' (*note fillrule::).
-
-     'path[] strokepath(path g, pen p=currentpen);'
-          returns the path array that 'PostScript' would fill in drawing
-          path 'g' with pen 'p'.
-
-'guide'
-     an unresolved cubic spline (list of cubic-spline nodes and control
-     points).  The implicit initializer for a guide is 'nullpath'; this
-     is useful for building up a guide within a loop.
-
-     A guide is similar to a path except that the computation of the
-     cubic spline is deferred until drawing time (when it is resolved
-     into a path); this allows two guides with free endpoint conditions
-     to be joined together smoothly.  The solid curve in the following
-     example is built up incrementally as a guide, but only resolved at
-     drawing time; the dashed curve is incrementally resolved at each
-     iteration, before the entire set of nodes (shown in red) is known:
-
-     size(200);
-     
-     real mexican(real x) {return (1-8x^2)*exp(-(4x^2));}
-     
-     int n=30;
-     real a=1.5;
-     real width=2a/n;
-     
-     guide hat;
-     path solved;
-     
-     for(int i=0; i < n; ++i) {
-       real t=-a+i*width;
-       pair z=(t,mexican(t));
-       hat=hat..z;
-       solved=solved..z;
-     }
-     
-     draw(hat);
-     dot(hat,red);
-     draw(solved,dashed);
-     
-
-                             [mexicanhat]
-
-     We point out an efficiency distinction in the use of guides and
-     paths:
-     guide g;
-     for(int i=0; i < 10; ++i)
-       g=g--(i,i);
-     path p=g;
-
-     runs in linear time, whereas
-     path p;
-     for(int i=0; i < 10; ++i)
-       p=p--(i,i);
-
-     runs in quadratic time, as the entire path up to that point is
-     copied at each step of the iteration.
-
-     The following routines can be used to examine the individual
-     elements of a guide without actually resolving the guide to a fixed
-     path (except for internal cycles, which are resolved):
-
-     'int size(guide g);'
-          Analogous to 'size(path p)'.
-
-     'int length(guide g);'
-          Analogous to 'length(path p)'.
-
-     'bool cyclic(path p);'
-          Analogous to 'cyclic(path p)'.
-
-     'pair point(guide g, int t);'
-          Analogous to 'point(path p, int t)'.
-
-     'guide reverse(guide g);'
-          Analogous to 'reverse(path p)'.  If 'g' is cyclic and also
-          contains a secondary cycle, it is first solved to a path, then
-          reversed.  If 'g' is not cyclic but contains an internal
-          cycle, only the internal cycle is solved before reversal.  If
-          there are no internal cycles, the guide is reversed but not
-          solved to a path.
-
-     'pair[] dirSpecifier(guide g, int i);'
-          This returns a pair array of length 2 containing the outgoing
-          (in element 0) and incoming (in element 1) direction
-          specifiers (or '(0,0)' if none specified) for the segment of
-          guide 'g' between nodes 'i' and 'i+1'.
-
-     'pair[] controlSpecifier(guide g, int i);'
-          If the segment of guide 'g' between nodes 'i' and 'i+1' has
-          explicit outgoing and incoming control points, they are
-          returned as elements 0 and 1, respectively, of a two-element
-          array.  Otherwise, an empty array is returned.
-
-     'tensionSpecifier tensionSpecifier(guide g, int i);'
-          This returns the tension specifier for the segment of guide
-          'g' between nodes 'i' and 'i+1'.  The individual components of
-          the 'tensionSpecifier' type can be accessed as the virtual
-          members 'in', 'out', and 'atLeast'.
-
-     'real[] curlSpecifier(guide g);'
-          This returns an array containing the initial curl specifier
-          (in element 0) and final curl specifier (in element 1) for
-          guide 'g'.
-
-     As a technical detail we note that a direction specifier given to
-     'nullpath' modifies the node on the other side: the guides
-     a..{up}nullpath..b;
-     c..nullpath{up}..d;
-     e..{up}nullpath{down}..f;
-     are respectively equivalent to
-     a..nullpath..{up}b;
-     c{up}..nullpath..d;
-     e{down}..nullpath..{up}f;
-
-
-File: asymptote.info,  Node: Pens,  Next: Transforms,  Prev: Paths and guides,  Up: Programming
-
-6.3 Pens
-========
-
-In 'Asymptote', pens provide a context for the four basic drawing
-commands (*note Drawing commands::).  They are used to specify the
-following drawing attributes: color, line type, line width, line cap,
-line join, fill rule, text alignment, font, font size, pattern,
-overwrite mode, and calligraphic transforms on the pen nib.  The default
-pen used by the drawing routines is called 'currentpen'.  This provides
-the same functionality as the 'MetaPost' command 'pickup'.  The implicit
-initializer for pens is 'defaultpen'.
-
-   Pens may be added together with the nonassociative binary operator
-'+'.  This will add the colors of the two pens.  All other non-default
-attributes of the rightmost pen will override those of the leftmost pen.
-Thus, one can obtain a yellow dashed pen by saying 'dashed+red+green' or
-'red+green+dashed' or 'red+dashed+green'.  The binary operator '*' can
-be used to scale the color of a pen by a real number, until it saturates
-with one or more color components equal to 1.
-
-   * Colors are specified using one of the following colorspaces:
-     'pen gray(real g);'
-          This produces a grayscale color, where the intensity 'g' lies
-          in the interval [0,1], with 0.0 denoting black and 1.0
-          denoting white.
-
-     'pen rgb(real r, real g, real b);'
-          This produces an RGB color, where each of the red, green, and
-          blue intensities 'r', 'g', 'b', lies in the interval [0,1].
-
-     'pen cmyk(real c, real m, real y, real k);'
-          This produces a CMYK color, where each of the cyan, magenta,
-          yellow, and black intensities 'c', 'm', 'y', 'k', lies in the
-          interval [0,1].
-
-     'pen invisible;'
-          This special pen writes in invisible ink, but adjusts the
-          bounding box as if something had been drawn (like the
-          '\phantom' command in TeX).  The function 'bool
-          invisible(pen)' can be used to test whether a pen is
-          invisible.
-
-     The default color is 'black'; this may be changed with the routine
-     'defaultpen(pen)'.  The function 'colorspace(pen p)' returns the
-     colorspace of pen 'p' as a string ('"gray"', '"rgb"', '"cmyk"', or
-     '""').
-
-     The function 'real[] colors(pen)' returns the color components of a
-     pen.  The functions 'pen gray(pen)', 'pen rgb(pen)', and 'pen
-     cmyk(pen)' return new pens obtained by converting their arguments
-     to the respective color spaces.  The function
-     'colorless(pen=currentpen)' returns a copy of its argument with the
-     color attributes stripped (to avoid color mixing).
-
-     A 6-character RGB hexidecimal string can be converted to a pen with
-     the routine
-     pen rgb(string s);
-     A pen can be converted to a hexidecimal string with
-   * string hex(pen p);
-
-     Various shades and mixtures of the grayscale primary colors 'black'
-     and 'white', RGB primary colors 'red', 'green', and 'blue', and RGB
-     secondary colors 'cyan', 'magenta', and 'yellow' are defined as
-     named colors, along with the CMYK primary colors 'Cyan', 'Magenta',
-     'Yellow', and 'Black', in the module 'plain':
-
-                               [colors]
-
-     The standard 140 RGB 'X11' colors can be imported with the command
-     import x11colors;
-     and the standard 68 CMYK TeX colors can be imported with the
-     command
-     import texcolors;
-     Note that there is some overlap between these two standards and the
-     definitions of some colors (e.g. 'Green') actually disagree.
-
-     'Asymptote' also comes with a 'asycolors.sty' 'LaTeX' package that
-     defines to 'LaTeX' CMYK versions of 'Asymptote''s predefined
-     colors, so that they can be used directly within 'LaTeX' strings.
-     Normally, such colors are passed to 'LaTeX' via a pen argument;
-     however, to change the color of only a portion of a string, say for
-     a slide presentation, (*note slide::) it may be desirable to
-     specify the color directly to 'LaTeX'.  This file can be passed to
-     'LaTeX' with the 'Asymptote' command
-     usepackage("asycolors");
-
-     The structure 'hsv' defined in 'plain_pens.asy' may be used to
-     convert between HSV and RGB spaces, where the hue 'h' is an angle
-     in [0,360) and the saturation 's' and value 'v' lie in '[0,1]':
-     pen p=hsv(180,0.5,0.75);
-     write(p);           // ([default], red=0.375, green=0.75, blue=0.75)
-     hsv q=p;
-     write(q.h,q.s,q.v); // 180     0.5     0.75
-
-   * Line types are specified with the function 'pen linetype(real[] a,
-     real offset=0, bool scale=true, bool adjust=true)', where 'a' is an
-     array of real array numbers.  The optional parameter 'offset'
-     specifies where in the pattern to begin.  The first number
-     specifies how far (if 'scale' is 'true', in units of the pen line
-     width; otherwise in 'PostScript' units) to draw with the pen on,
-     the second number specifies how far to draw with the pen off, and
-     so on.  If 'adjust' is 'true', these spacings are automatically
-     adjusted by 'Asymptote' to fit the arclength of the path.  Here are
-     the predefined line types:
-     pen solid=linetype(new real[]);
-     pen dotted=linetype(new real[] {0,4});
-     pen dashed=linetype(new real[] {8,8});
-     pen longdashed=linetype(new real[] {24,8});
-     pen dashdotted=linetype(new real[] {8,8,0,8});
-     pen longdashdotted=linetype(new real[] {24,8,0,8});
-     pen Dotted(pen p=currentpen) {return linetype(new real[] {0,3})+2*linewidth(p);}
-     pen Dotted=Dotted();
-
-                              [linetype]
-
-     The default line type is 'solid'; this may be changed with
-     'defaultpen(pen)'.  The line type of a pen can be determined with
-     the functions 'real[] linetype(pen p=currentpen)', 'real offset(pen
-     p)', 'bool scale(pen p)', and 'bool adjust(pen p)'.
-
-   * The pen line width is specified in 'PostScript' units with 'pen
-     linewidth(real)'.  The default line width is 0.5 bp; this value may
-     be changed with 'defaultpen(pen)'.  The line width of a pen is
-     returned by 'real linewidth(pen p=currentpen)'.  For convenience,
-     in the module 'plain_pens' we define
-     void defaultpen(real w) {defaultpen(linewidth(w));}
-     pen operator +(pen p, real w) {return p+linewidth(w);}
-     pen operator +(real w, pen p) {return linewidth(w)+p;}
-     so that one may set the line width like this:
-     defaultpen(2);
-     pen p=red+0.5;
-
-   * A pen with a specific 'PostScript' line cap is returned on calling
-     'linecap' with an integer argument:
-     pen squarecap=linecap(0);
-     pen roundcap=linecap(1);
-     pen extendcap=linecap(2);
-
-     The default line cap, 'roundcap', may be changed with
-     'defaultpen(pen)'.  The line cap of a pen is returned by 'int
-     linecap(pen p=currentpen)'.
-
-   * A pen with a specific 'PostScript' join style is returned on
-     calling 'linejoin' with an integer argument:
-     pen miterjoin=linejoin(0);
-     pen roundjoin=linejoin(1);
-     pen beveljoin=linejoin(2);
-
-     The default join style, 'roundjoin', may be changed with
-     'defaultpen(pen)'.The join style of a pen is returned by 'int
-     linejoin(pen p=currentpen)'.
-
-   * A pen with a specific 'PostScript' miter limit is returned by
-     calling 'miterlimit(real)'.  The default miterlimit, '10.0', may be
-     changed with 'defaultpen(pen)'.  The miter limit of a pen is
-     returned by 'real miterlimit(pen p=currentpen)'.
-
-   * A pen with a specific 'PostScript' fill rule is returned on calling
-     'fillrule' with an integer argument:
-     pen zerowinding=fillrule(0);
-     pen evenodd=fillrule(1);
-
-     The fill rule, which identifies the algorithm used to determine the
-     insideness of a path or array of paths, only affects the 'clip',
-     'fill', and 'inside' functions.  For the 'zerowinding' fill rule, a
-     point 'z' is outside the region bounded by a path if the number of
-     upward intersections of the path with the horizontal line
-     'z--z+infinity' minus the number of downward intersections is zero.
-     For the 'evenodd' fill rule, 'z' is considered to be outside the
-     region if the total number of such intersections is even.  The
-     default fill rule, 'zerowinding', may be changed with
-     'defaultpen(pen)'.  The fill rule of a pen is returned by 'int
-     fillrule(pen p=currentpen)'.
-
-   * A pen with a specific text alignment setting is returned on calling
-     'basealign' with an integer argument:
-     pen nobasealign=basealign(0);
-     pen basealign=basealign(1);
-
-     The default setting, 'nobasealign',which may be changed with
-     'defaultpen(pen)', causes the label alignment routines to use the
-     full label bounding box for alignment.  In contrast, 'basealign'
-     requests that the TeX baseline be respected.  The base align
-     setting of a pen is returned by 'int basealigin(pen p=currentpen)'.
-
-   * The font size is specified in TeX points (1 pt = 1/72.27 inches)
-     with the function 'pen fontsize(real size, real
-     lineskip=1.2*size)'.  The default font size, 12pt, may be changed
-     with 'defaultpen(pen)'.  Nonstandard font sizes may require
-     inserting
-     import fontsize;
-     at the beginning of the file (this requires the 'type1cm' package
-     available from
-          <http://mirror.ctan.org/macros/latex/contrib/type1cm/>
-     and included in recent 'LaTeX' distributions).  The font size and
-     line skip of a pen can be examined with the routines 'real
-     fontsize(pen p=currentpen)' and 'real lineskip(pen p=currentpen)',
-     respectively.
-
-   * A pen using a specific 'LaTeX' 'NFSS' font is returned by calling
-     the function 'pen font(string encoding, string family, string
-     series, string shape)'.  The default setting,
-     'font("OT1","cmr","m","n")', corresponds to 12pt Computer Modern
-     Roman; this may be changed with 'defaultpen(pen)'.  The font
-     setting of a pen is returned by 'string font(pen p=currentpen)'.
-     Support for standardized international characters is provided by
-     the 'unicode' package (*note unicode::).
-
-     Alternatively, one may select a fixed-size TeX font (on which
-     'fontsize' has no effect) like '"cmr12"' (12pt Computer Modern
-     Roman) or '"pcrr"' (Courier) using the function 'pen font(string
-     name)'.  An optional size argument can also be given to scale the
-     font to the requested size: 'pen font(string name, real size)'.
-
-     A nonstandard font command can be generated with 'pen
-     fontcommand(string)'.
-
-     A convenient interface to the following standard 'PostScript' fonts
-     is also provided:
-     pen AvantGarde(string series="m", string shape="n");
-     pen Bookman(string series="m", string shape="n");
-     pen Courier(string series="m", string shape="n");
-     pen Helvetica(string series="m", string shape="n");
-     pen NewCenturySchoolBook(string series="m", string shape="n");
-     pen Palatino(string series="m", string shape="n");
-     pen TimesRoman(string series="m", string shape="n");
-     pen ZapfChancery(string series="m", string shape="n");
-     pen Symbol(string series="m", string shape="n");
-     pen ZapfDingbats(string series="m", string shape="n");
-
-   * The transparency of a pen can be changed with the command:
-     pen opacity(real opacity=1, string blend="Compatible");
-     The opacity can be varied from '0' (fully transparent) to the
-     default value of '1' (opaque), and 'blend' specifies one of the
-     following foreground-background blending operations:
-     "Compatible","Normal","Multiply","Screen","Overlay","SoftLight",
-     "HardLight","ColorDodge","ColorBurn","Darken","Lighten","Difference",
-     "Exclusion","Hue","Saturation","Color","Luminosity",
-     as described in
-
-     <http://partners.adobe.com/public/developer/en/pdf/PDFReference16.pdf>.
-     Since 'PostScript' does not support transparency, this feature is
-     only effective with the '-f pdf' output format option; other
-     formats can be produced from the resulting PDF file with the
-     'ImageMagick' 'convert' program.  Labels are always drawn with an
-     'opacity' of 1.  A simple example of transparent filling is
-     provided in the example file 'transparency.asy'.
-
-   * 'PostScript' commands within a 'picture' may be used to create a
-     tiling pattern, identified by the string 'name', for 'fill' and
-     'draw' operations by adding it to the global 'PostScript' frame
-     'currentpatterns', with optional left-bottom margin 'lb' and
-     right-top margin 'rt'.
-     import patterns;
-     void add(string name, picture pic, pair lb=0, pair rt=0);
-
-     To 'fill' or 'draw' using pattern 'name', use the pen
-     'pattern("name")'.  For example, rectangular tilings can be
-     constructed using the routines 'picture tile(real Hx=5mm, real
-     Hy=0, pen p=currentpen, filltype filltype=NoFill)', 'picture
-     checker(real Hx=5mm, real Hy=0, pen p=currentpen)', and 'picture
-     brick(real Hx=5mm, real Hy=0, pen p=currentpen)' defined in
-     'patterns.asy':
-     size(0,90);
-     import patterns;
-     
-     add("tile",tile());
-     add("filledtilewithmargin",tile(6mm,4mm,red,Fill),(1mm,1mm),(1mm,1mm));
-     add("checker",checker());
-     add("brick",brick());
-     
-     real s=2.5;
-     filldraw(unitcircle,pattern("tile"));
-     filldraw(shift(s,0)*unitcircle,pattern("filledtilewithmargin"));
-     filldraw(shift(2s,0)*unitcircle,pattern("checker"));
-     filldraw(shift(3s,0)*unitcircle,pattern("brick"));
-
-                                [tile]
-
-     Hatch patterns can be generated with the routines 'picture
-     hatch(real H=5mm, pair dir=NE, pen p=currentpen)', 'picture
-     crosshatch(real H=5mm, pen p=currentpen)':
-     size(0,100);
-     import patterns;
-     
-     add("hatch",hatch());
-     add("hatchback",hatch(NW));
-     add("crosshatch",crosshatch(3mm));
-     
-     real s=1.25;
-     filldraw(unitsquare,pattern("hatch"));
-     filldraw(shift(s,0)*unitsquare,pattern("hatchback"));
-     filldraw(shift(2s,0)*unitsquare,pattern("crosshatch"));
-
-                                [hatch]
-
-     You may need to turn off aliasing in your 'PostScript' viewer for
-     patterns to appear correctly.  Custom patterns can easily be
-     constructed, following the examples in 'patterns.asy'.  The tiled
-     pattern can even incorporate shading (*note gradient shading::), as
-     illustrated in this example (not included in the manual because not
-     all printers support 'PostScript' 3):
-     size(0,100);
-     import patterns;
-     
-     real d=4mm;
-     picture tiling;
-     path square=scale(d)*unitsquare;
-     axialshade(tiling,square,white,(0,0),black,(d,d));
-     fill(tiling,shift(d,d)*square,blue);
-     add("shadedtiling",tiling);
-     
-     filldraw(unitcircle,pattern("shadedtiling"));
-     
-
-   * One can specify a custom pen nib as an arbitrary polygonal path
-     with 'pen makepen(path)'; this path represents the mark to be drawn
-     for paths containing a single point.  This pen nib path can be
-     recovered from a pen with 'path nib(pen)'.  Unlike in 'MetaPost',
-     the path need not be convex:
-
-     size(200);
-     pen convex=makepen(scale(10)*polygon(8))+grey;
-     draw((1,0.4),convex);
-     draw((0,0)---(1,1)..(2,0)--cycle,convex);
-     
-     pen nonconvex=scale(10)*
-       makepen((0,0)--(0.25,-1)--(0.5,0.25)--(1,0)--(0.5,1.25)--cycle)+red;
-     draw((0.5,-1.5),nonconvex);
-     draw((0,-1.5)..(1,-0.5)..(2,-1.5),nonconvex);
-
-                               [makepen]
-
-     The value 'nullpath' represents a circular pen nib (the default);
-     an elliptical pen can be achieved simply by multiplying the pen by
-     a transform: 'yscale(2)*currentpen'.
-
-   * One can prevent labels from overwriting one another by using the
-     pen attribute 'overwrite', which takes a single argument:
-
-     'Allow'
-          Allow labels to overwrite one another.  This is the default
-          behaviour (unless overridden with 'defaultpen(pen)'.
-
-     'Suppress'
-          Suppress, with a warning, each label that would overwrite
-          another label.
-
-     'SuppressQuiet'
-          Suppress, without warning, each label that would overwrite
-          another label.
-
-     'Move'
-          Move a label that would overwrite another out of the way and
-          issue a warning.  As this adjustment is during the final
-          output phase (in 'PostScript' coordinates) it could result in
-          a larger figure than requested.
-
-     'MoveQuiet'
-          Move a label that would overwrite another out of the way,
-          without warning.  As this adjustment is during the final
-          output phase (in 'PostScript' coordinates) it could result in
-          a larger figure than requested.
-
-   The routine 'defaultpen()' returns the current default pen
-attributes.  Calling the routine 'resetdefaultpen()' resets all pen
-default attributes to their initial values.
-
-
-File: asymptote.info,  Node: Transforms,  Next: Frames and pictures,  Prev: Pens,  Up: Programming
-
-6.4 Transforms
-==============
-
-'Asymptote' makes extensive use of affine transforms.  A pair '(x,y)' is
-transformed by the transform 't=(t.x,t.y,t.xx,t.xy,t.yx,t.yy)' to
-'(x',y')', where
-x' = t.x + t.xx * x + t.xy * y
-y' = t.y + t.yx * x + t.yy * y
-This is equivalent to the 'PostScript' transformation '[t.xx t.yx t.xy
-t.yy t.x t.y]'.
-
-   Transforms can be applied to pairs, guides, paths, pens, strings,
-transforms, frames, and pictures by multiplication (via the binary
-operator '*') on the left (*note circle:: for an example).  Transforms
-can be composed with one another and inverted with the function
-'transform inverse(transform t)'; they can also be raised to any integer
-power with the '^' operator.
-
-   The built-in transforms are:
-
-'transform identity();'
-     the identity transform;
-'transform shift(pair z);'
-     translates by the pair 'z';
-'transform shift(real x, real y);'
-     translates by the pair '(x,y)';
-'transform xscale(real x);'
-     scales by 'x' in the x direction;
-'transform yscale(real y);'
-     scales by 'y' in the y direction;
-'transform scale(real s);'
-     scale by 's' in both x and y directions;
-'transform scale(real x, real y);'
-     scale by 'x' in the x direction and by 'y' in the y direction;
-'transform slant(real s);'
-     maps '(x,y)' -> '(x+s*y,y)';
-'transform rotate(real angle, pair z=(0,0));'
-     rotates by 'angle' in degrees about 'z';
-'transform reflect(pair a, pair b);'
-     reflects about the line 'a--b'.
-
-   The implicit initializer for transforms is 'identity()'.  The
-routines 'shift(transform t)' and 'shiftless(transform t)' return the
-transforms '(t.x,t.y,0,0,0,0)' and '(0,0,t.xx,t.xy,t.yx,t.yy)'
-respectively.
-
-
-File: asymptote.info,  Node: Frames and pictures,  Next: Files,  Prev: Transforms,  Up: Programming
-
-6.5 Frames and pictures
-=======================
-
-'frame'
-     Frames are canvases for drawing in 'PostScript' coordinates.  While
-     working with frames directly is occasionally necessary for
-     constructing deferred drawing routines, pictures are usually more
-     convenient to work with.  The implicit initializer for frames is
-     'newframe'.  The function 'bool empty(frame f)' returns 'true' only
-     if the frame 'f' is empty.  A frame may be erased with the
-     'erase(frame)' routine.  The functions 'pair min(frame)' and 'pair
-     max(frame)' return the (left,bottom) and (right,top) coordinates of
-     the frame bounding box, respectively.  The contents of frame 'src'
-     may be appended to frame 'dest' with the command
-     void add(frame dest, frame src);
-     or prepended with
-     void prepend(frame dest, frame src);
-     A frame obtained by aligning frame 'f' in the direction 'align', in
-     a manner analogous to the 'align' argument of 'label' (*note
-     label::), is returned by
-     frame align(frame f, pair align);
-
-     To draw or fill a box or ellipse around a label or frame and return
-     the boundary as a path, use one of the predefined 'envelope'
-     routines
-     path box(frame f, Label L="", real xmargin=0,
-              real ymargin=xmargin, pen p=currentpen,
-              filltype filltype=NoFill, bool above=true);
-     path roundbox(frame f, Label L="", real xmargin=0,
-                   real ymargin=xmargin, pen p=currentpen,
-                   filltype filltype=NoFill, bool above=true);
-     path ellipse(frame f, Label L="", real xmargin=0,
-                  real ymargin=xmargin, pen p=currentpen,
-                  filltype filltype=NoFill, bool above=true);
-
-'picture'
-     Pictures are high-level structures (*note Structures::) defined in
-     the module 'plain' that provide canvases for drawing in user
-     coordinates.  The default picture is called 'currentpicture'.  A
-     new picture can be created like this:
-     picture pic;
-     Anonymous pictures can be made by the expression 'new picture'.
-
-     The 'size' routine specifies the dimensions of the desired picture:
-
-     void size(picture pic=currentpicture, real x, real y=x,
-               bool keepAspect=Aspect);
-
-     If the 'x' and 'y' sizes are both 0, user coordinates will be
-     interpreted as 'PostScript' coordinates.  In this case, the
-     transform mapping 'pic' to the final output frame is 'identity()'.
-
-     If exactly one of 'x' or 'y' is 0, no size restriction is imposed
-     in that direction; it will be scaled the same as the other
-     direction.
-
-     If 'keepAspect' is set to 'Aspect' or 'true', the picture will be
-     scaled with its aspect ratio preserved such that the final width is
-     no more than 'x' and the final height is no more than 'y'.
-
-     If 'keepAspect' is set to 'IgnoreAspect' or 'false', the picture
-     will be scaled in both directions so that the final width is 'x'
-     and the height is 'y'.
-
-     To make the user coordinates of picture 'pic' represent multiples
-     of 'x' units in the x direction and 'y' units in the y direction,
-     use
-     void unitsize(picture pic=currentpicture, real x, real y=x);
-     When nonzero, these 'x' and 'y' values override the corresponding
-     size parameters of picture 'pic'.
-
-     The routine
-     void size(picture pic=currentpicture, real xsize, real ysize,
-               pair min, pair max);
-     forces the final picture scaling to map the user coordinates
-     'box(min,max)' to a region of width 'xsize' and height 'ysize'
-     (when these parameters are nonzero).
-
-     Alternatively, calling the routine
-     transform fixedscaling(picture pic=currentpicture, pair min,
-                            pair max, pen p=nullpen, bool warn=false);
-     will cause picture 'pic' to use a fixed scaling to map user
-     coordinates in 'box(min,max)' to the (already specified) picture
-     size, taking account of the width of pen 'p'.  A warning will be
-     issued if the final picture exceeds the specified size.
-
-     A picture 'pic' can be fit to a frame and output to a file
-     'prefix'.'format' using image format 'format' by calling the
-     'shipout' function:
-     void shipout(string prefix=defaultfilename, picture pic=currentpicture,
-                  orientation orientation=orientation,
-                  string format="", bool wait=false, bool view=true,
-                  string options="", string script="",
-                  light light=currentlight, projection P=currentprojection)
-     The default output format, 'PostScript', may be changed with the
-     '-f' or '-tex' command-line options.  The 'options', 'script', and
-     'projection' parameters are only relevant for 3D pictures.  If
-     'defaultfilename' is an empty string, the prefix 'outprefix()' will
-     be used.
-
-     A 'shipout()' command is added implicitly at file exit if no
-     previous 'shipout' commands have been executed.  The default page
-     orientation is 'Portrait'; this may be modified by changing the
-     variable 'orientation'.  To output in landscape mode, simply set
-     the variable 'orientation=Landscape' or issue the command
-     shipout(Landscape);
-
-     To rotate the page by -90 degrees, use the orientation 'Seascape'.
-     The orientation 'UpsideDown' rotates the page by 180 degrees.
-
-     A picture 'pic' can be explicitly fit to a frame by calling
-     frame pic.fit(real xsize=pic.xsize, real ysize=pic.ysize,
-                   bool keepAspect=pic.keepAspect);
-     The default size and aspect ratio settings are those given to the
-     'size' command (which default to '0', '0', and 'true',
-     respectively).  The transformation that would currently be used to
-     fit a picture 'pic' to a frame is returned by the member function
-     'pic.calculateTransform()'.
-
-     In certain cases (e.g. 2D graphs) where only an approximate size
-     estimate for 'pic' is available, the picture fitting routine
-     frame pic.scale(real xsize=this.xsize, real ysize=this.ysize,
-                     bool keepAspect=this.keepAspect);
-     (which scales the resulting frame, including labels and fixed-size
-     objects) will enforce perfect compliance with the requested size
-     specification, but should not normally be required.
-
-     To draw a bounding box with margins around a picture, fit the
-     picture to a frame using the function
-     frame bbox(picture pic=currentpicture, real xmargin=0,
-                real ymargin=xmargin, pen p=currentpen,
-                filltype filltype=NoFill);
-     Here 'filltype' specifies one of the following fill types:
-     'FillDraw'
-          Fill the interior and draw the boundary.
-
-     'FillDraw(real xmargin=0, real ymargin=xmargin, pen fillpen=nullpen,'
-          'pen drawpen=nullpen)' If 'fillpen' is 'nullpen', fill with
-          the drawing pen; otherwise fill with pen 'fillpen'.  If
-          'drawpen' is 'nullpen', draw the boundary with 'fillpen';
-          otherwise with 'drawpen'.  An optional margin of 'xmargin' and
-          'ymargin' can be specified.
-
-     'Fill'
-          Fill the interior.
-
-     'Fill(real xmargin=0, real ymargin=xmargin, pen p=nullpen)'
-          If 'p' is 'nullpen', fill with the drawing pen; otherwise fill
-          with pen 'p'.  An optional margin of 'xmargin' and 'ymargin'
-          can be specified.
-
-     'NoFill'
-          Do not fill.
-
-     'Draw'
-          Draw only the boundary.
-
-     'Draw(real xmargin=0, real ymargin=xmargin, pen p=nullpen)'
-          If 'p' is 'nullpen', draw the boundary with the drawing pen;
-          otherwise draw with pen 'p'.  An optional margin of 'xmargin'
-          and 'ymargin' can be specified.
-
-     'UnFill'
-          Clip the region.
-
-     'UnFill(real xmargin=0, real ymargin=xmargin)'
-          Clip the region and surrounding margins 'xmargin' and
-          'ymargin'.
-
-     'RadialShade(pen penc, pen penr)'
-          Fill varying radially from 'penc' at the center of the
-          bounding box to 'penr' at the edge.
-
-     'RadialShadeDraw(real xmargin=0, real ymargin=xmargin, pen penc,'
-          'pen penr, pen drawpen=nullpen)' Fill with RadialShade and
-          draw the boundary.
-
-     For example, to draw a bounding box around a picture with a 0.25 cm
-     margin and output the resulting frame, use the command:
-     shipout(bbox(0.25cm));
-     A 'picture' may be fit to a frame with the background color pen
-     'p', using the function 'bbox(p,Fill)'.
-
-     The functions
-     pair min(picture pic, user=false);
-     pair max(picture pic, user=false);
-     pair size(picture pic, user=false);
-     calculate the bounds that picture 'pic' would have if it were
-     currently fit to a frame using its default size specification.  If
-     'user' is 'false' the returned value is in 'PostScript'
-     coordinates, otherwise it is in user coordinates.
-
-     The function
-     pair point(picture pic=currentpicture, pair dir, bool user=true);
-     is a convenient way of determining the point on the bounding box of
-     'pic' in the direction 'dir' relative to its center, ignoring the
-     contributions from fixed-size objects (such as labels and
-     arrowheads).  If 'user' is 'true' the returned value is in user
-     coordinates, otherwise it is in 'PostScript' coordinates.
-
-     The function
-     pair truepoint(picture pic=currentpicture, pair dir, bool user=true);
-     is identical to 'point', except that it also accounts for
-     fixed-size objects, using the scaling transform that picture 'pic'
-     would have if currently fit to a frame using its default size
-     specification.  If 'user' is 'true' the returned value is in user
-     coordinates, otherwise it is in 'PostScript' coordinates.
-
-     Sometimes it is useful to draw objects on separate pictures and add
-     one picture to another using the 'add' function:
-     void add(picture src, bool group=true,
-              filltype filltype=NoFill, bool above=true);
-     void add(picture dest, picture src, bool group=true,
-              filltype filltype=NoFill, bool above=true);
-     The first example adds 'src' to 'currentpicture'; the second one
-     adds 'src' to 'dest'.  The 'group' option specifies whether or not
-     the graphical user interface
-     '<http://asymptote.sourceforge.net/gallery/.pdf>.asy' should treat
-     all of the elements of 'src' as a single entity (*note GUI::),
-     'filltype' requests optional background filling or clipping, and
-     'above' specifies whether to add 'src' above or below existing
-     objects.
-
-     There are also routines to add a picture or frame 'src' specified
-     in postscript coordinates to another picture 'dest' (or
-     'currentpicture') about the user coordinate 'position':
-     void add(picture src, pair position, bool group=true,
-              filltype filltype=NoFill, bool above=true);
-     void add(picture dest, picture src, pair position,
-              bool group=true, filltype filltype=NoFill, bool above=true);
-     void add(picture dest=currentpicture, frame src, pair position=0,
-              bool group=true, filltype filltype=NoFill, bool above=true);
-     void add(picture dest=currentpicture, frame src, pair position,
-              pair align, bool group=true, filltype filltype=NoFill,
-              bool above=true);
-
-     The optional 'align' argument in the last form specifies a
-     direction to use for aligning the frame, in a manner analogous to
-     the 'align' argument of 'label' (*note label::).  However, one key
-     difference is that when 'align' is not specified, labels are
-     centered, whereas frames and pictures are aligned so that their
-     origin is at 'position'.  Illustrations of frame alignment can be
-     found in the examples *note errorbars:: and *note image::.  If you
-     want to align three or more subpictures, group them two at a time:
-
-     picture pic1;
-     real size=50;
-     size(pic1,size);
-     fill(pic1,(0,0)--(50,100)--(100,0)--cycle,red);
-     
-     picture pic2;
-     size(pic2,size);
-     fill(pic2,unitcircle,green);
-     
-     picture pic3;
-     size(pic3,size);
-     fill(pic3,unitsquare,blue);
-     
-     picture pic;
-     add(pic,pic1.fit(),(0,0),N);
-     add(pic,pic2.fit(),(0,0),10S);
-     
-     add(pic.fit(),(0,0),N);
-     add(pic3.fit(),(0,0),10S);
-     
-
-                             [subpictures]
-
-     Alternatively, one can use 'attach' to automatically increase the
-     size of picture 'dest' to accommodate adding a frame 'src' about
-     the user coordinate 'position':
-     void attach(picture dest=currentpicture, frame src,
-                      pair position=0, bool group=true,
-                      filltype filltype=NoFill, bool above=true);
-     void attach(picture dest=currentpicture, frame src,
-                      pair position, pair align, bool group=true,
-                      filltype filltype=NoFill, bool above=true);
-
-     To erase the contents of a picture (but not the size
-     specification), use the function
-     void erase(picture pic=currentpicture);
-
-     To save a snapshot of 'currentpicture', 'currentpen', and
-     'currentprojection', use the function 'save()'.
-
-     To restore a snapshot of 'currentpicture', 'currentpen', and
-     'currentprojection', use the function 'restore()'.
-
-     Many further examples of picture and frame operations are provided
-     in the base module 'plain'.
-
-     It is possible to insert verbatim 'PostScript' commands in a
-     picture with one of the routines
-     void postscript(picture pic=currentpicture, string s);
-     void postscript(picture pic=currentpicture, string s, pair min,
-                     pair max)
-     Here 'min' and 'max' can be used to specify explicit bounds
-     associated with the resulting 'PostScript' code.
-
-     Verbatim TeX commands can be inserted in the intermediate 'LaTeX'
-     output file with one of the functions
-     void tex(picture pic=currentpicture, string s);
-     void tex(picture pic=currentpicture, string s, pair min, pair max)
-     Here 'min' and 'max' can be used to specify explicit bounds
-     associated with the resulting TeX code.
-
-     To issue a global TeX command (such as a TeX macro definition) in
-     the TeX preamble (valid for the remainder of the top-level module)
-     use:
-     void texpreamble(string s);
-
-     The TeX environment can be reset to its initial state, clearing all
-     macro definitions, with the function
-     void texreset();
-
-     The routine
-     void usepackage(string s, string options="");
-     provides a convenient abbreviation for
-     texpreamble("\usepackage["+options+"]{"+s+"}"); 
-     that can be used for importing 'LaTeX' packages.
-
-
-File: asymptote.info,  Node: Files,  Next: Variable initializers,  Prev: Frames and pictures,  Up: Programming
-
-6.6 Files
-=========
-
-'Asymptote' can read and write text files (including comma-separated
-value) files and portable XDR (External Data Representation) binary
-files.
-
-   An input file must first be opened with
-input(string name="", bool check=true, string comment="#", string mode="");
-   reading is then done by assignment:
-file fin=input("test.txt");
-real a=fin;
-
-   If the optional boolean argument 'check' is 'false', no check will be
-made that the file exists.  If the file does not exist or is not
-readable, the function 'bool error(file)' will return 'true'.  The first
-character of the string 'comment' specifies a comment character.  If
-this character is encountered in a data file, the remainder of the line
-is ignored.  When reading strings, a comment character followed
-immediately by another comment character is treated as a single literal
-comment character.
-
-   One can change the current working directory for read operations to
-the contents of the string 's' with the function 'string cd(string s)',
-which returns the new working directory.  If 'string s' is empty, the
-path is reset to the value it had at program startup.
-
-   When reading pairs, the enclosing parenthesis are optional.  Strings
-are also read by assignment, by reading characters up to but not
-including a newline.  In addition, 'Asymptote' provides the function
-'string getc(file)' to read the next character (treating the comment
-character as an ordinary character) and return it as a string.
-
-   A file named 'name' can be open for output with
-file output(string name="", bool update=false, string comment="#", string mode="");
-If 'update=false', any existing data in the file will be erased and only
-write operations can be used on the file.  If 'update=true', any
-existing data will be preserved, the position will be set to the
-end-of-file, and both reading and writing operations will be enabled.
-For security reasons, writing to files in directories other than the
-current directory is allowed only if the '-globalwrite' (or '-nosafe')
-command-line option is specified.  The function 'string mktemp(string
-s)' may be used to create and return the name of a unique temporary file
-in the current directory based on the string 's'.
-
-   There are two special files: 'stdin', which reads from the keyboard,
-and 'stdout', which writes to the terminal.  The implicit initializer
-for files is 'null'.
-
-   Data of a built-in type 'T' can be written to an output file by
-calling one of the functions
-write(string s="", T x, suffix suffix=endl ... T[]);
-write(file file, string s="", T x, suffix suffix=none ... T[]);
-write(file file=stdout, string s="", explicit T[] x ... T[][]);
-write(file file=stdout, T[][]);
-write(file file=stdout, T[][][]);
-write(suffix suffix=endl);
-write(file file, suffix suffix=none);
-   If 'file' is not specified, 'stdout' is used and terminated by
-default with a newline.  If specified, the optional identifying string
-'s' is written before the data 'x'.  An arbitrary number of data values
-may be listed when writing scalars or one-dimensional arrays.  The
-'suffix' may be one of the following: 'none' (do nothing), 'flush'
-(output buffered data), 'endl' (terminate with a newline and flush),
-'newl' (terminate with a newline), 'DOSendl' (terminate with a DOS
-newline and flush), 'DOSnewl' (terminate with a DOS newline), 'tab'
-(terminate with a tab), or 'comma' (terminate with a comma).  Here are
-some simple examples of data output:
-file fout=output("test.txt");
-write(fout,1);                  // Writes "1"
-write(fout);                    // Writes a new line
-write(fout,"List: ",1,2,3);     // Writes "List: 1     2     3"
-
-   A file may be opened with 'mode="xdr"', to read or write double
-precision (64-bit) reals and single precision (32-bit) integers in Sun
-Microsystem's XDR (External Data Representation) portable binary format
-(available on all 'UNIX' platforms).  Alternatively, a file may also be
-opened with 'mode="binary"' to read or write double precision reals and
-single precision integers in the native (nonportable) machine binary
-format.  The virtual member functions 'file singlereal(bool b=true)' and
-'file singleint(bool b=true)' be used to change the precision of real
-and integer I/O operations, respectively, for an XDR or binary file 'f'.
-Similarly, the function 'file signedint(bool b=true)' can be used to
-modify the signedness of integer reads and writes for an XDR or binary
-file 'f'.
-
-   The virtual members 'name', 'mode', 'singlereal', 'singleint', and
-'signedint' may be used to query the respective parameters for a given
-file.
-
-   One can test a file for end-of-file with the boolean function
-'eof(file)', end-of-line with 'eol(file)', and for I/O errors with
-'error(file)'.  One can flush the output buffers with 'flush(file)',
-clear a previous I/O error with 'clear(file)', and close the file with
-'close(file)'.  The function 'int precision(file file=stdout, int
-digits=0)' sets the number of digits of output precision for 'file' to
-'digits', provided 'digits' is nonzero, and returns the previous
-precision setting.  The function 'int tell(file)' returns the current
-position in a file relative to the beginning.  The routine 'seek(file
-file, int pos)' can be used to change this position, where a negative
-value for the position 'pos' is interpreted as relative to the
-end-of-file.  For example, one can rewind a file 'file' with the command
-'seek(file,0)' and position to the final character in the file with
-'seek(file,-1)'.  The command 'seekeof(file)' sets the position to the
-end of the file.
-
-   Assigning 'settings.scroll=n' for a positive integer 'n' requests a
-pause after every 'n' output lines to 'stdout'.  One may then press
-'Enter' to continue to the next 'n' output lines, 's' followed by
-'Enter' to scroll without further interruption, or 'q' followed by
-'Enter' to quit the current output operation.  If 'n' is negative, the
-output scrolls a page at a time (i.e.  by one less than the current
-number of display lines).  The default value, 'settings.scroll=0',
-specifies continuous scrolling.
-
-   The routines
-string getstring(string name="", string default="", string prompt="",
-                 bool store=true);
-int getint(string name="", int default=0, string prompt="",
-           bool store=true);
-real getreal(string name="", real default=0, string prompt="",
-             bool store=true);
-pair getpair(string name="", pair default=0, string prompt="",
-             bool store=true);
-triple gettriple(string name="", triple default=(0,0,0), string prompt="",
-                 bool store=true);
-defined in the module 'plain' may be used to prompt for a value from
-'stdin' using the GNU 'readline' library.  If 'store=true', the history
-of values for 'name' is stored in the file '".asy_history_"+name' (*note
-history::).  The most recent value in the history will be used to
-provide a default value for subsequent runs.  The default value
-(initially 'default') is displayed after 'prompt'.  These functions are
-based on the internal routines
-string readline(string prompt="", string name="", bool tabcompletion=false);
-void saveline(string name, string value, bool store=true);
-   Here, 'readline' prompts the user with the default value formatted
-according to 'prompt', while 'saveline' is used to save the string
-'value' in a local history named 'name', optionally storing the local
-history in a file '".asy_history_"+name'.
-
-   The routine 'history(string name, int n=1)' can be used to look up
-the 'n' most recent values (or all values up to 'historylines' if 'n=0')
-entered for string 'name'.  The routine 'history(int n=0)' returns the
-interactive history.  For example,
-write(output("transcript.asy"),history());
-outputs the interactive history to the file 'transcript.asy'.
-
-   The function 'int delete(string s)' deletes the file named by the
-string 's'.  Unless the '-globalwrite' (or '-nosafe') option is enabled,
-the file must reside in the current directory.  The function 'int
-rename(string from, string to)' may be used to rename file 'from' to
-file 'to'.  Unless the '-globalwrite' (or '-nosafe') option is enabled,
-this operation is restricted to the current directory.  The functions
-int convert(string args="", string file="", string format="");
-int animate(string args="", string file="", string format="");
-call the 'ImageMagick' commands 'convert' and 'animate', respectively,
-with the arguments 'args' and the file name constructed from the strings
-'file' and 'format'.
-
-
-File: asymptote.info,  Node: Variable initializers,  Next: Structures,  Prev: Files,  Up: Programming
-
-6.7 Variable initializers
-=========================
-
-A variable can be assigned a value when it is declared, as in 'int x=3;'
-where the variable 'x' is assigned the value '3'.  As well as literal
-constants such as '3', arbitary expressions can be used as initializers,
-as in 'real x=2*sin(pi/2);'.
-
-   A variable is not added to the namespace until after the initializer
-is evaluated, so for example, in
-int x=2;
-int x=5*x;
-the 'x' in the initializer on the second line refers to the variable 'x'
-declared on the first line.  The second line, then, declares a variable
-'x' shadowing the original 'x' and initializes it to the value '10'.
-
-   Variables of most types can be declared without an explicit
-initializer and they will be initialized by the default initializer of
-that type:
-
-   * Variables of the numeric types 'int', 'real', and 'pair' are all
-     initialized to zero; variables of type 'triple' are initialized to
-     'O=(0,0,0)'.
-   * 'boolean' variables are initialized to 'false'.
-   * 'string' variables are initialized to the empty string.
-   * 'transform' variables are initialized to the identity
-     transformation.
-   * 'path' and 'guide' variables are initialized to 'nullpath'.
-   * 'pen' variables are initialized to the default pen.
-   * 'frame' and 'picture' variables are initialized to empty frames and
-     pictures, respectively.
-   * 'file' variables are initialized to 'null'.
-
-   The default initializers for user-defined array, structure, and
-function types are explained in their respective sections.  Some types,
-such as 'code', do not have default initializers.  When a variable of
-such a type is introduced, the user must initialize it by explicitly
-giving it a value.
-
-   The default initializer for any type 'T' can be redeclared by
-defining the function 'T operator init()'.  For instance, 'int'
-variables are usually initialized to zero, but in
-int operator init() {
-  return 3;
-}
-int y;
-
-the variable 'y' is initialized to '3'.  This example was given for
-illustrative purposes; redeclaring the initializers of built-in types is
-not recommended.  Typically, 'operator init' is used to define sensible
-defaults for user-defined types.
-
-   The special type 'var' may be used to infer the type of a variable
-from its initializer.  If the initializer is an expression of a unique
-type, then the variable will be defined with that type.  For instance,
-var x=5;
-var y=4.3;
-var reddash=red+dashed;
-is equivalent to
-int x=5;
-real y=4.3;
-pen reddash=red+dashed;
-
-   'var' may also be used with the extended 'for' loop syntax.
-
-int[] a = {1,2,3};
-for (var x : a)
-  write(x);
-
-
-File: asymptote.info,  Node: Structures,  Next: Operators,  Prev: Variable initializers,  Up: Programming
-
-6.8 Structures
-==============
-
-Users may also define their own data types as structures, along with
-user-defined operators, much as in C++.  By default, structure members
-are 'public' (may be read and modified anywhere in the code), but may be
-optionally declared 'restricted' (readable anywhere but writeable only
-inside the structure where they are defined) or 'private' (readable and
-writable only inside the structure).  In a structure definition, the
-keyword 'this' can be used as an expression to refer to the enclosing
-structure.  Any code at the top-level scope within the structure is
-executed on initialization.
-
-   Variables hold references to structures.  That is, in the example:
-struct T {
-  int x;
-}
-
-T foo;
-T bar=foo;
-bar.x=5;
-
-   The variable 'foo' holds a reference to an instance of the structure
-'T'.  When 'bar' is assigned the value of 'foo', it too now holds a
-reference to the same instance as 'foo' does.  The assignment 'bar.x=5'
-changes the value of the field 'x' in that instance, so that 'foo.x'
-will also be equal to '5'.
-
-   The expression 'new T' creates a new instance of the structure 'T'
-and returns a reference to that instance.  In creating the new instance,
-any code in the body of the record definition is executed.  For example:
-int Tcount=0;
-struct T {
-  int x;
-  ++Tcount;
-}
-
-T foo=new T;
-T foo;
-Here, 'new T' produces a new instance of the class, which causes
-'Tcount' to be incremented, tracking the number of instances produced.
-The declarations 'T foo=new T' and 'T foo' are equivalent: the second
-form implicitly creates a new instance of 'T'.  That is, after the
-definition of a structure 'T', a variable of type 'T' is initialized to
-a new instance ('new T') by default.  During the definition of the
-structure, however, variables of type 'T' are initialized to 'null' by
-default.  This special behaviour is to avoid infinite recursion of
-creating new instances in code such as
-struct tree {
-  int value;
-  tree left;
-  tree right;
-}
-
-   The expression 'null' can be cast to any structure type to yield a
-null reference, a reference that does not actually refer to any instance
-of the structure.  Trying to use a field of a null reference will cause
-an error.
-
-   The function 'bool alias(T,T)' checks to see if two structure
-references refer to the same instance of the structure (or both to
-'null').  In example at the beginning of this section, 'alias(foo,bar)'
-would return true, but 'alias(foo,new T)' would return false, as 'new T'
-creates a new instance of the structure 'T'.  The boolean operators '=='
-and '!=' are by default equivalent to 'alias' and '!alias' respectively,
-but may be overwritten for a particular type (for example, to do a deep
-comparison).
-
-   Here is a simple example that illustrates the use of structures:
-struct S {
-  real a=1;
-  real f(real a) {return a+this.a;}
-}
-
-S s;                            // Initializes s with new S;
-
-write(s.f(2));                  // Outputs 3
-
-S operator + (S s1, S s2)
-{
-  S result;
-  result.a=s1.a+s2.a;
-  return result;
-}
-
-write((s+s).f(0));              // Outputs 2
-
-
-   It is often convenient to have functions that construct new instances
-of a structure.  Say we have a 'Person' structure:
-struct Person {
-  string firstname;
-  string lastname;
-}
-
-Person joe;
-joe.firstname="Joe";
-joe.lastname="Jones";
-Creating a new Person is a chore; it takes three lines to create a new
-instance and to initialize its fields (that's still considerably less
-effort than creating a new person in real life, though).
-
-   We can reduce the work by defining a constructor function
-'Person(string,string)':
-struct Person {
-  string firstname;
-  string lastname;
-
-  static Person Person(string firstname, string lastname) {
-    Person p=new Person;
-    p.firstname=firstname;
-    p.lastname=lastname;
-    return p;
-  }
-}
-
-Person joe=Person.Person("Joe", "Jones");
-
-   While it is now easier than before to create a new instance, we still
-have to refer to the constructor by the qualified name 'Person.Person'.
-If we add the line
-from Person unravel Person;
-immediately after the structure definition, then the constructor can be
-used without qualification: 'Person joe=Person("Joe", "Jones");'.
-
-   The constructor is now easy to use, but it is quite a hassle to
-define.  If you write a lot of constructors, you will find that you are
-repeating a lot of code in each of them.  Fortunately, your friendly
-neighbourhood Asymptote developers have devised a way to automate much
-of the process.
-
-   If, in the body of a structure, Asymptote encounters the definition
-of a function of the form 'void operator init(ARGS)', it implicitly
-defines a constructor function of the arguments 'ARGS' that uses the
-'void operator init' function to initialize a new instance of the
-structure.  That is, it essentially defines the following constructor
-(assuming the structure is called 'Foo'):
-
-     static Foo Foo(ARGS) {
-       Foo instance=new Foo;
-       instance.operator init(ARGS);
-       return instance;
-     }
-
-   This constructor is also implicitly copied to the enclosing scope
-after the end of the structure definition, so that it can used
-subsequently without qualifying it by the structure name.  Our 'Person'
-example can thus be implemented as:
-struct Person {
-  string firstname;
-  string lastname;
-
-  void operator init(string firstname, string lastname) {
-    this.firstname=firstname;
-    this.lastname=lastname;
-  }
-}
-
-Person joe=Person("Joe", "Jones");
-
-   The use of 'operator init' to implicitly define constructors should
-not be confused with its use to define default values for variables
-(*note Variable initializers::).  Indeed, in the first case, the return
-type of the 'operator init' must be 'void' while in the second, it must
-be the (non-'void') type of the variable.
-
-   The function 'cputime()' returns a structure 'cputime' with
-cumulative CPU times broken down into the fields 'parent.user',
-'parent.system', 'child.user', and 'child.system'.  For convenience, the
-incremental fields 'change.user' and 'change.system' indicate the change
-in the corresponding total parent and child CPU times since the last
-call to 'cputime()'.  The function
-void write(file file=stdout, string s="", cputime c,
-           string format=cputimeformat, suffix suffix=none); 
-displays the incremental user cputime followed by "u", the incremental
-system cputime followed by "s", the total user cputime followed by "U",
-and the total system cputime followed by "S".
-
-   Much like in C++, casting (*note Casts::) provides for an elegant
-implementation of structure inheritance, including virtual functions:
-struct parent {
-  real x;
-  void operator init(int x) {this.x=x;}
-  void virtual(int) {write(0);}
-  void f() {virtual(1);}
-}
-
-void write(parent p) {write(p.x);}
-  
-struct child {
-  parent parent;
-  real y=3;
-  void operator init(int x) {parent.operator init(x);}
-  void virtual(int x) {write(x);}
-  parent.virtual=virtual;
-  void f()=parent.f;
-}
-
-parent operator cast(child child) {return child.parent;}
-  
-parent p=parent(1);
-child c=child(2);
-
-write(c);                       // Outputs 2;
-
-p.f();                          // Outputs 0;
-c.f();                          // Outputs 1;
-
-write(c.parent.x);              // Outputs 2;
-write(c.y);                     // Outputs 3;
-
-   For further examples of structures, see 'Legend' and 'picture' in the
-'Asymptote' base module 'plain'.
-
-
-File: asymptote.info,  Node: Operators,  Next: Implicit scaling,  Prev: Structures,  Up: Programming
-
-6.9 Operators
-=============
-
-* Menu:
-
-* Arithmetic & logical::        Basic mathematical operators
-* Self & prefix operators::     Increment and decrement
-* User-defined operators::      Overloading operators
-
-
-File: asymptote.info,  Node: Arithmetic & logical,  Next: Self & prefix operators,  Prev: Operators,  Up: Operators
-
-6.9.1 Arithmetic & logical operators
-------------------------------------
-
-'Asymptote' uses the standard binary arithmetic operators.  However,
-when one integer is divided by another, both arguments are converted to
-real values before dividing and a real quotient is returned (since this
-is typically what is intended; otherwise one can use the function 'int
-quotient(int x, int y)', which returns greatest integer less than or
-equal to 'x/y').  In all other cases both operands are promoted to the
-same type, which will also be the type of the result:
-'+'
-     addition
-'-'
-     subtractiona
-'*'
-     multiplication
-'/'
-     division
-'#'
-     integer division; equivalent to 'quotient(x,y)'.  Noting that the
-     'Python3' community adopted our comment symbol ('//') for integer
-     division, we decided to reciprocate and use their comment symbol
-     for integer division in 'Asymptote'!
-'%'
-     modulo; the result always has the same sign as the divisor.  In
-     particular, this makes 'q*(p # q)+p % q == p' for all integers 'p'
-     and nonzero integers 'q'.
-'^'
-     power; if the exponent (second argument) is an int, recursive
-     multiplication is used; otherwise, logarithms and exponentials are
-     used ('**' is a synonym for '^').
-
-   The usual boolean operators are also defined:
-'=='
-     equals
-'!='
-     not equals
-'<'
-     less than
-'<='
-     less than or equals
-'>='
-     greater than or equals
-'>'
-     greater than
-'&&'
-     and (with conditional evaluation of right-hand argument)
-'&'
-     and
-'||'
-     or (with conditional evaluation of right-hand argument)
-'|'
-     or
-'^'
-     xor
-'!'
-     not
-
-   'Asymptote' also supports the C-like conditional syntax:
-bool positive=(pi > 0) ? true : false;
-
-   The function 'T interp(T a, T b, real t)' returns '(1-t)*a+t*b' for
-nonintegral built-in arithmetic types 'T'.  If 'a' and 'b' are pens,
-they are first promoted to the same color space.
-
-   'Asymptote' also defines bitwise functions 'int AND(int,int)', 'int
-OR(int,int)', 'int XOR(int,int)', 'int NOT(int)', 'int CLZ(int)' (count
-leading zeros), 'int CTZ(int)' (count trailing zeros), 'int
-popcount(int)' (count bits populated by ones), and 'int bitreverse(int
-a, int bits)' (reverse bits within a word of length bits).
-
-
-File: asymptote.info,  Node: Self & prefix operators,  Next: User-defined operators,  Prev: Arithmetic & logical,  Up: Operators
-
-6.9.2 Self & prefix operators
------------------------------
-
-As in C, each of the arithmetic operators '+', '-', '*', '/', '#', '%',
-and '^' can be used as a self operator.  The prefix operators '++'
-(increment by one) and '--' (decrement by one) are also defined.  For
-example,
-int i=1;
-i += 2;
-int j=++i;
-
-is equivalent to the code
-int i=1;
-i=i+2;
-int j=i=i+1;
-
-   However, postfix operators like 'i++' and 'i--' are not defined
-(because of the inherent ambiguities that would arise with the '--'
-path-joining operator).  In the rare instances where 'i++' and 'i--' are
-really needed, one can substitute the expressions '(++i-1)' and
-'(--i+1)', respectively.
-
-
-File: asymptote.info,  Node: User-defined operators,  Prev: Self & prefix operators,  Up: Operators
-
-6.9.3 User-defined operators
-----------------------------
-
-The following symbols may be used with 'operator' to define or redefine
-operators on structures and built-in types:
-- + * / % ^ ! < > == != <= >= & | ^^ .. :: -- --- ++
-<< >> $ $$ @ @@ <>
-The operators on the second line have precedence one higher than the
-boolean operators '<', '>', '<=', and '>='.
-
-   Guide operators like '..' may be overloaded, say, to write a user
-function that produces a new guide from a given guide:
-guide dots(... guide[] g)=operator ..;
-
-guide operator ..(... guide[] g) {
-  guide G;
-  if(g.length > 0) {
-    write(g[0]);
-    G=g[0];
-  }
-  for(int i=1; i < g.length; ++i) {
-    write(g[i]);
-    write();
-    G=dots(G,g[i]);
-  }
-  return G;
-}
-
-guide g=(0,0){up}..{SW}(100,100){NE}..{curl 3}(50,50)..(10,10);
-write("g=",g);
-
-
-File: asymptote.info,  Node: Implicit scaling,  Next: Functions,  Prev: Operators,  Up: Programming
-
-6.10 Implicit scaling
-=====================
-
-If a numeric literal is in front of certain types of expressions, then
-the two are multiplied:
-int x=2;
-real y=2.0;
-real cm=72/2.540005;
-
-write(3x);
-write(2.5x);
-write(3y);
-write(-1.602e-19 y);
-write(0.5(x,y));
-write(2x^2);
-write(3x+2y);
-write(3(x+2y));
-write(3sin(x));
-write(3(sin(x))^2);
-write(10cm);
-
-   This produces the output
-6
-5
-6
--3.204e-19
-(1,1)
-8
-10
-18
-2.72789228047704
-2.48046543129542
-283.464008929116
-
-
-File: asymptote.info,  Node: Functions,  Next: Arrays,  Prev: Implicit scaling,  Up: Programming
-
-6.11 Functions
-==============
-
-* Menu:
-
-* Default arguments::           Default values can appear anywhere
-* Named arguments::             Assigning function arguments by keyword
-* Rest arguments::              Functions with a variable number of arguments
-* Mathematical functions::      Standard libm functions
-
-'Asymptote' functions are treated as variables with a signature
-(non-function variables have null signatures).  Variables with the same
-name are allowed, so long as they have distinct signatures.
-
-   Functions arguments are passed by value.  To pass an argument by
-reference, simply enclose it in a structure (*note Structures::).
-
-   Here are some significant features of 'Asymptote' functions:
-
-  1. Variables with signatures (functions) and without signatures
-     (nonfunction variables) are distinct:
-     int x, x();           
-     x=5;
-     x=new int() {return 17;};
-     x=x();              // calls x() and puts the result, 17, in the scalar x
-
-  2. Traditional function definitions are allowed:
-     int sqr(int x)  
-     {
-       return x*x;
-     }
-     sqr=null;           // but the function is still just a variable.
-
-  3. Casting can be used to resolve ambiguities:
-     int a, a(), b, b(); // Valid: creates four variables.
-     a=b;                // Invalid: assignment is ambiguous.
-     a=(int) b;          // Valid: resolves ambiguity.
-     (int) (a=b);        // Valid: resolves ambiguity.
-     (int) a=b;          // Invalid: cast expressions cannot be L-values.
-     
-     int c();
-     c=a;                // Valid: only one possible assignment.
-
-  4. Anonymous (so-called "high-order") functions are also allowed:
-     typedef int intop(int);
-     intop adder(int m)
-     {
-       return new int(int n) {return m+n;};
-     }
-     intop addby7=adder(7);
-     write(addby7(1));   // Writes 8.
-
-  5. One may redefine a function 'f', even for calls to 'f' in
-     previously declared functions, by assigning another (anonymous or
-     named) function to it.  However, if 'f' is overloaded by a new
-     function definition, previous calls will still access the original
-     version of 'f', as illustrated in this example:
-     void f() {
-       write("hi");
-     }  
-      
-     void g() {
-       f();
-     } 
-      
-     g(); // writes "hi" 
-      
-     f=new void() {write("bye");}; 
-     
-     g(); // writes "bye" 
-      
-     void f() {write("overloaded");}; 
-     
-     f(); // writes "overloaded"
-     g(); // writes "bye" 
-
-  6. Anonymous functions can be used to redefine a function variable
-     that has been declared (and implicitly initialized to the null
-     function) but not yet explicitly defined:
-     void f(bool b);
-     
-     void g(bool b) {
-       if(b) f(b);
-       else write(b);
-     }
-     
-     f=new void(bool b) {
-       write(b);
-       g(false);
-     };
-     
-     g(true); // Writes true, then writes false.
-
-   'Asymptote' is the only language we know of that treats functions as
-variables, but allows overloading by distinguishing variables based on
-their signatures.
-
-   Functions are allowed to call themselves recursively.  As in C++,
-infinite nested recursion will generate a stack overflow (reported as a
-segmentation fault, unless a fully working version of the GNU library
-'libsigsegv' (e.g. 2.4 or later) is installed at configuration time).
-
-
-File: asymptote.info,  Node: Default arguments,  Next: Named arguments,  Prev: Functions,  Up: Functions
-
-6.11.1 Default arguments
-------------------------
-
-'Asymptote' supports a more flexible mechanism for default function
-arguments than C++: they may appear anywhere in the function prototype.
-Because certain data types are implicitly cast to more sophisticated
-types (*note Casts::) one can often avoid ambiguities by ordering
-function arguments from the simplest to the most complicated.  For
-example, given
-real f(int a=1, real b=0) {return a+b;}
-then 'f(1)' returns 1.0, but 'f(1.0)' returns 2.0.
-
-   The value of a default argument is determined by evaluating the given
-'Asymptote' expression in the scope where the called function is
-defined.
-
-
-File: asymptote.info,  Node: Named arguments,  Next: Rest arguments,  Prev: Default arguments,  Up: Functions
-
-6.11.2 Named arguments
-----------------------
-
-It is sometimes difficult to remember the order in which arguments
-appear in a function declaration.  Named (keyword) arguments make
-calling functions with multiple arguments easier.  Unlike in the C and
-C++ languages, an assignment in a function argument is interpreted as an
-assignment to a parameter of the same name in the function signature,
-_not within the local scope_.  The command-line option '-d' may be used
-to check 'Asymptote' code for cases where a named argument may be
-mistaken for a local assignment.
-
-   When matching arguments to signatures, first all of the keywords are
-matched, then the arguments without names are matched against the
-unmatched formals as usual.  For example,
-int f(int x, int y) {
-  return 10x+y;
-}
-write(f(4,x=3));
-outputs 34, as 'x' is already matched when we try to match the unnamed
-argument '4', so it gets matched to the next item, 'y'.
-
-   For the rare occasions where it is desirable to assign a value to
-local variable within a function argument (generally _not_ a good
-programming practice), simply enclose the assignment in parentheses.
-For example, given the definition of 'f' in the previous example,
-int x;
-write(f(4,(x=3)));
-is equivalent to the statements
-int x;
-x=3;
-write(f(4,3));
-and outputs 43.
-
-   Parameters can be specified as "keyword-only" by putting 'keyword'
-immediately before the parameter name, as in 'int f(int keyword x)' or
-'int f(int keyword x=77)'.  This forces the caller of the function to
-use a named argument to give a value for this parameter.  That is,
-'f(x=42)' is legal, but 'f(25)' is not.  Keyword-only parameters must be
-listed after normal parameters in a function definition.
-
-   As a technical detail, we point out that, since variables of the same
-name but different signatures are allowed in the same scope, the code
-int f(int x, int x()) {
-  return x+x();
-}
-int seven() {return 7;}
-is legal in 'Asymptote', with 'f(2,seven)' returning 9.  A named
-argument matches the first unmatched formal of the same name, so
-'f(x=2,x=seven)' is an equivalent call, but 'f(x=seven,2)' is not, as
-the first argument is matched to the first formal, and 'int ()' cannot
-be implicitly cast to 'int'.  Default arguments do not affect which
-formal a named argument is matched to, so if 'f' were defined as
-int f(int x=3, int x()) {
-  return x+x();
-}
-then 'f(x=seven)' would be illegal, even though 'f(seven)' obviously
-would be allowed.
-
-
-File: asymptote.info,  Node: Rest arguments,  Next: Mathematical functions,  Prev: Named arguments,  Up: Functions
-
-6.11.3 Rest arguments
----------------------
-
-Rest arguments allow one to write functions that take a variable number
-of arguments:
-// This function sums its arguments.
-int sum(... int[] nums) {
-  int total=0; 
-  for(int i=0; i < nums.length; ++i)
-    total += nums[i];
-  return total;
-}
-
-sum(1,2,3,4);                       // returns 10
-sum();                              // returns 0
-
-// This function subtracts subsequent arguments from the first.
-int subtract(int start ... int[] subs) {
-  for(int i=0; i < subs.length; ++i)
-    start -= subs[i];
-  return start;
-}
-
-subtract(10,1,2);                   // returns 7
-subtract(10);                       // returns 10
-subtract();                         // illegal
-
-   Putting an argument into a rest array is called _packing_.  One can
-give an explicit list of arguments for the rest argument, so 'subtract'
-could alternatively be implemented as
-int subtract(int start ... int[] subs) {
-  return start - sum(... subs);
-}
-
-   One can even combine normal arguments with rest arguments:
-sum(1,2,3 ... new int[] {4,5,6});   // returns 21
-This builds a new six-element array that is passed to 'sum' as 'nums'.
-The opposite operation, _unpacking_, is not allowed:
-subtract(... new int[] {10, 1, 2});
-is illegal, as the start formal is not matched.
-
-   If no arguments are packed, then a zero-length array (as opposed to
-'null') is bound to the rest parameter.  Note that default arguments are
-ignored for rest formals and the rest argument is not bound to a
-keyword.
-
-   In some cases, keyword-only parameters are helpful to avoid arguments
-intended for the rest parameter to be assigned to other parameters.  For
-example, here the use of 'keyword' is to avoid 'pnorm(1.0,2.0,0.3)'
-matching '1.0' to 'p'.
-real pnorm(real keyword p=2.0 ... real[] v)
-{
-  return sum(v^p)^(1/p);
-}
-
-   The overloading resolution in 'Asymptote' is similar to the function
-matching rules used in C++.  Every argument match is given a score.
-Exact matches score better than matches with casting, and matches with
-formals (regardless of casting) score better than packing an argument
-into the rest array.  A candidate is maximal if all of the arguments
-score as well in it as with any other candidate.  If there is one unique
-maximal candidate, it is chosen; otherwise, there is an ambiguity error.
-
-int f(path g);
-int f(guide g);
-f((0,0)--(100,100)); // matches the second; the argument is a guide
-
-int g(int x, real y);
-int g(real x, int x);
-
-g(3,4); // ambiguous; the first candidate is better for the first argument,
-        // but the second candidate is better for the second argument
-
-int h(... int[] rest);
-int h(real x ... int[] rest);
-
-h(1,2); // the second definition matches, even though there is a cast,
-        // because casting is preferred over packing
-
-int i(int x ... int[] rest);
-int i(real x, real y ... int[] rest);
-
-i(3,4); // ambiguous; the first candidate is better for the first argument,
-        // but the second candidate is better for the second one
-
-
-File: asymptote.info,  Node: Mathematical functions,  Prev: Rest arguments,  Up: Functions
-
-6.11.4 Mathematical functions
------------------------------
-
-'Asymptote' has built-in versions of the standard 'libm' mathematical
-real(real) functions 'sin', 'cos', 'tan', 'asin', 'acos', 'atan', 'exp',
-'log', 'pow10', 'log10', 'sinh', 'cosh', 'tanh', 'asinh', 'acosh',
-'atanh', 'sqrt', 'cbrt', 'fabs', 'expm1', 'log1p', as well as the
-identity function 'identity'.  'Asymptote' also defines the order 'n'
-Bessel functions of the first kind 'Jn(int n, real)' and second kind
-'Yn(int n, real)', as well as the gamma function 'gamma', the error
-function 'erf', and the complementary error function 'erfc'.  The
-standard real(real, real) functions 'atan2', 'hypot', 'fmod',
-'remainder' are also included.
-
-   The functions 'degrees(real radians)' and 'radians(real degrees)' can
-be used to convert between radians and degrees.  The function
-'Degrees(real radians)' returns the angle in degrees in the interval
-[0,360).  For convenience, 'Asymptote' defines variants 'Sin', 'Cos',
-'Tan', 'aSin', 'aCos', and 'aTan' of the standard trigonometric
-functions that use degrees rather than radians.  We also define complex
-versions of the 'sqrt', 'sin', 'cos', 'exp', 'log', and 'gamma'
-functions.
-
-   The functions 'floor', 'ceil', and 'round' differ from their usual
-definitions in that they all return an int value rather than a real
-(since that is normally what one wants).  The functions 'Floor', 'Ceil',
-and 'Round' are respectively similar, except that if the result cannot
-be converted to a valid int, they return 'intMax' for positive arguments
-and 'intMin' for negative arguments, rather than generating an integer
-overflow.  We also define a function 'sgn', which returns the sign of
-its real argument as an integer (-1, 0, or 1).
-
-   There is an 'abs(int)' function, as well as an 'abs(real)' function
-(equivalent to 'fabs(real)'), an 'abs(pair)' function (equivalent to
-'length(pair)').
-
-   Random numbers can be seeded with 'srand(int)' and generated with the
-'int rand()' function, which returns a random integer between 0 and the
-integer 'randMax'.  The 'unitrand()' function returns a random number
-uniformly distributed in the interval [0,1].  A Gaussian random number
-generator 'Gaussrand' and a collection of statistics routines, including
-'histogram', are provided in the base file 'stats.asy'.  The functions
-'factorial(int n)', which returns n!, and 'choose(int n, int k)', which
-returns n!/(k!(n-k)!), are also defined.
-
-   When configured with the GNU Scientific Library (GSL), available from
-<http://www.gnu.org/software/gsl/>, 'Asymptote' contains an internal
-module 'gsl' that defines the airy functions 'Ai(real)', 'Bi(real)',
-'Ai_deriv(real)', 'Bi_deriv(real)', 'zero_Ai(int)', 'zero_Bi(int)',
-'zero_Ai_deriv(int)', 'zero_Bi_deriv(int)', the Bessel functions 'I(int,
-real)', 'K(int, real)', 'j(int, real)', 'y(int, real)', 'i_scaled(int,
-real)', 'k_scaled(int, real)', 'J(real, real)', 'Y(real, real)',
-'I(real, real)', 'K(real, real)', 'zero_J(real, int)', the elliptic
-functions 'F(real, real)', 'E(real, real)', and 'P(real, real)', the
-Jacobi elliptic functions 'real[] sncndn(real,real)', the
-exponential/trigonometric integrals 'Ei', 'Si', and 'Ci', the Legendre
-polynomials 'Pl(int, real)', and the Riemann zeta function 'zeta(real)'.
-For example, to compute the sine integral 'Si' of 1.0:
-import gsl;
-write(Si(1.0));
-
-   'Asymptote' also provides a few general purpose numerical routines:
-
-'real newton(int iterations=100, real f(real), real fprime(real), real x, bool verbose=false);'
-     Use Newton-Raphson iteration to solve for a root of a real-valued
-     differentiable function 'f', given its derivative 'fprime' and an
-     initial guess 'x'.  Diagnostics for each iteration are printed if
-     'verbose=true'.  If the iteration fails after the maximum allowed
-     number of loops ('iterations'), 'realMax' is returned.
-
-'real newton(int iterations=100, real f(real), real fprime(real), real x1, real x2, bool verbose=false);'
-     Use bracketed Newton-Raphson bisection to solve for a root of a
-     real-valued differentiable function 'f' within an interval
-     ['x1','x2'] (on which the endpoint values of 'f' have opposite
-     signs), given its derivative 'fprime'.  Diagnostics for each
-     iteration are printed if 'verbose=true'.  If the iteration fails
-     after the maximum allowed number of loops ('iterations'), 'realMax'
-     is returned.
-
-'real simpson(real f(real), real a, real b, real acc=realEpsilon, real dxmax=b-a)'
-     returns the integral of 'f' from 'a' to 'b' using adaptive Simpson
-     integration.
-
-
-File: asymptote.info,  Node: Arrays,  Next: Casts,  Prev: Functions,  Up: Programming
-
-6.12 Arrays
-===========
-
-* Menu:
-
-* Slices::                      Python-style array slices
-
-Appending '[]' to a built-in or user-defined type yields an array.  The
-array element 'i' of an array 'A' can be accessed as 'A[i]'.  By
-default, attempts to access or assign to an array element using a
-negative index generates an error.  Reading an array element with an
-index beyond the length of the array also generates an error; however,
-assignment to an element beyond the length of the array causes the array
-to be resized to accommodate the new element.  One can also index an
-array 'A' with an integer array 'B': the array 'A[B]' is formed by
-indexing array 'A' with successive elements of array 'B'.  A convenient
-Java-style shorthand exists for iterating over all elements of an array;
-see *note array iteration::.
-
-   The declaration
-real[] A;
-
-initializes 'A' to be an empty (zero-length) array.  Empty arrays should
-be distinguished from null arrays.  If we say
-real[] A=null;
-
-then 'A' cannot be dereferenced at all (null arrays have no length and
-cannot be read from or assigned to).
-
-   Arrays can be explicitly initialized like this:
-real[] A={0,1,2};
-
-   Array assignment in 'Asymptote' does a shallow copy: only the pointer
-is copied (if one copy if modified, the other will be too).  The 'copy'
-function listed below provides a deep copy of an array.
-
-   Every array 'A' of type 'T[]' has the virtual members
-   * 'int length',
-   * 'int cyclic',
-   * 'int[] keys',
-   * 'T push(T x)',
-   * 'void append(T[] a)',
-   * 'T pop()',
-   * 'void insert(int i ... T[] x)',
-   * 'void delete(int i, int j=i)',
-   * 'void delete()', and
-   * 'bool initialized(int n)'.
-
-   The member 'A.length' evaluates to the length of the array.  Setting
-'A.cyclic=true' signifies that array indices should be reduced modulo
-the current array length.  Reading from or writing to a nonempty cyclic
-array never leads to out-of-bounds errors or array resizing.
-
-   The member 'A.keys' evaluates to an array of integers containing the
-indices of initialized entries in the array in ascending order.  Hence,
-for an array of length 'n' with all entries initialized, 'A.keys'
-evaluates to '{0,1,...,n-1}'.  A new keys array is produced each time
-'A.keys' is evaluated.
-
-   The functions 'A.push' and 'A.append' append their arguments onto the
-end of the array, while 'A.insert(int i ... T[] x)' inserts 'x' into the
-array at index 'i'.  For convenience 'A.push' returns the pushed item.
-The function 'A.pop()' pops and returns the last element, while
-'A.delete(int i, int j=i)' deletes elements with indices in the range
-['i','j'], shifting the position of all higher-indexed elements down.
-If no arguments are given, 'A.delete()' provides a convenient way of
-deleting all elements of 'A'.  The routine 'A.initialized(int n)' can be
-used to examine whether the element at index 'n' is initialized.  Like
-all 'Asymptote' functions, 'push', 'append', 'pop', 'insert', 'delete',
-and 'initialized' can be "pulled off" of the array and used on their
-own.  For example,
-int[] A={1};
-A.push(2);         // A now contains {1,2}.
-A.append(A);       // A now contains {1,2,1,2}.
-int f(int)=A.push;
-f(3);              // A now contains {1,2,1,2,3}.
-int g()=A.pop;
-write(g());        // Outputs 3.
-A.delete(0);       // A now contains {2,1,2}.
-A.delete(0,1);       // A now contains {2}.
-A.insert(1,3);     // A now contains {2,3}.
-A.insert(1 ... A); // A now contains {2,2,3,3}
-A.insert(2,4,5);   // A now contains {2,2,4,5,3,3}.
-
-   The '[]' suffix can also appear after the variable name; this is
-sometimes convenient for declaring a list of variables and arrays of the
-same type:
-real a,A[];
-This declares 'a' to be 'real' and implicitly declares 'A' to be of type
-'real[]'.
-
-   In the following list of built-in array functions, 'T' represents a
-generic type.  Note that the internal functions 'alias', 'array',
-'copy', 'concat', 'sequence', 'map', and 'transpose', which depend on
-type 'T[]', are defined only after the first declaration of a variable
-of type 'T[]'.
-
-'new T[]'
-     returns a new empty array of type 'T[]';
-
-'new T[] {list}'
-     returns a new array of type 'T[]' initialized with 'list' (a comma
-     delimited list of elements).
-
-'new T[n]'
-     returns a new array of 'n' elements of type 'T[]'.  These 'n' array
-     elements are not initialized unless they are arrays themselves (in
-     which case they are each initialized to empty arrays).
-
-'T[] array(int n, T value, int depth=intMax)'
-     returns an array consisting of 'n' copies of 'value'.  If 'value'
-     is itself an array, a deep copy of 'value' is made for each entry.
-     If 'depth' is specified, this deep copying only recurses to the
-     specified number of levels.
-
-'int[] sequence(int n)'
-     if 'n >= 1' returns the array '{0,1,...,n-1}' (otherwise returns a
-     null array);
-
-'int[] sequence(int n, int m)'
-     if 'm >= n' returns an array '{n,n+1,...,m}' (otherwise returns a
-     null array);
-
-'T[] sequence(T f(int), int n)'
-     if 'n >= 1' returns the sequence '{f_i :i=0,1,...n-1}' given a
-     function 'T f(int)' and integer 'int n' (otherwise returns a null
-     array);
-
-'T[] map(T f(T), T[] a)'
-     returns the array obtained by applying the function 'f' to each
-     element of the array 'a'.  This is equivalent to 'sequence(new
-     T(int i) {return f(a[i]);},a.length)'.
-
-'int[] reverse(int n)'
-     if 'n >= 1' returns the array '{n-1,n-2,...,0}' (otherwise returns
-     a null array);
-
-'int[] complement(int[] a, int n)'
-     returns the complement of the integer array 'a' in
-     '{0,1,2,...,n-1}', so that 'b[complement(a,b.length)]' yields the
-     complement of 'b[a]'.
-
-'real[] uniform(real a, real b, int n)'
-     if 'n >= 1' returns a uniform partition of '[a,b]' into 'n'
-     subintervals (otherwise returns a null array);
-
-'int find(bool[] a, int n=1)'
-     returns the index of the 'n'th 'true' value in the boolean array
-     'a' or -1 if not found.  If 'n' is negative, search backwards from
-     the end of the array for the '-n'th value;
-
-'int[] findall(bool[] a)'
-     returns the indices of all 'true' values in the boolean array 'a'.
-
-'int search(T[] a, T key)'
-     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 deep copy of the array 'a';
-
-'T[] concat(... T[][] a)'
-     returns a new array formed by concatenating the given
-     one-dimensional arrays given as arguments;
-
-'bool alias(T[] a, T[] b)'
-     returns 'true' if the arrays 'a' and 'b' are identical;
-
-'T[] sort(T[] a)'
-     For built-in ordered types 'T', returns a copy of 'a' sorted in
-     ascending order;
-
-'T[][] sort(T[][] a)'
-     For built-in ordered types 'T', returns a copy of 'a' with the rows
-     sorted by the first column, breaking ties with successively higher
-     columns.  For example:
-     string[][] a={{"bob","9"},{"alice","5"},{"pete","7"},
-                   {"alice","4"}};
-     // Row sort (by column 0, using column 1 to break ties):
-     write(sort(a));
-
-     produces
-     alice   4
-     alice   5
-     bob     9
-     pete    7
-
-'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 'less(i,j)' is true.
-
-'T[][] transpose(T[][] a)'
-     returns the transpose of 'a'.
-
-'T[][][] transpose(T[][][] a, int[] perm)'
-     returns the 3D transpose of 'a' obtained by applying the
-     permutation 'perm' of 'new int[]{0,1,2}' to the indices of each
-     entry.
-
-'T sum(T[] a)'
-     For arithmetic types 'T', returns the sum of 'a'.  In the case
-     where 'T' is 'bool', the number of true elements in 'a' is
-     returned.
-
-'T min(T[] a)'
-'T min(T[][] a)'
-'T min(T[][][] a)'
-     For built-in ordered types 'T', returns the minimum element of 'a'.
-
-'T max(T[] a)'
-'T max(T[][] a)'
-'T max(T[][][] a)'
-     For built-in ordered types 'T', returns the maximum element of 'a'.
-
-'T[] min(T[] a, T[] b)'
-     For built-in ordered types 'T', and arrays 'a' and 'b' of the same
-     length, returns an array composed of the minimum of the
-     corresponding elements of 'a' and 'b'.
-
-'T[] max(T[] a, T[] b)'
-     For built-in ordered types 'T', and arrays 'a' and 'b' of the same
-     length, returns an array composed of the maximum of the
-     corresponding elements of 'a' and 'b'.
-
-'pair[] pairs(real[] x, real[] y);'
-     For arrays 'x' and 'y' of the same length, returns the pair array
-     'sequence(new pair(int i) {return (x[i],y[i]);},x.length)'.
-
-'pair[] fft(pair[] a, int sign=1)'
-     returns the unnormalized Fast Fourier Transform of 'a' (if the
-     optional 'FFTW' package is installed), using the given 'sign'.
-     Here is a simple example:
-     int n=4;
-     pair[] f=sequence(n);
-     write(f);
-     pair[] g=fft(f,-1);
-     write();
-     write(g);
-     f=fft(g,1);
-     write();
-     write(f/n);
-
-'real dot(real[] a, real[] b)'
-     returns the dot product of the vectors 'a' and 'b'.
-
-'pair dot(pair[] a, pair[] b)'
-     returns the complex dot product 'sum(a*conj(b))' of the vectors 'a'
-     and 'b'.
-
-'real[] tridiagonal(real[] a, real[] b, real[] c, real[] f);'
-     Solve the periodic tridiagonal problem L'x'='f' and return the
-     solution 'x', where 'f' is an n vector and L is the n \times n
-     matrix
-     [ b[0] c[0]           a[0]   ]
-     [ a[1] b[1] c[1]             ]
-     [      a[2] b[2] c[2]        ]
-     [                ...         ]
-     [ c[n-1]       a[n-1] b[n-1] ]
-     For Dirichlet boundary conditions (denoted here by 'u[-1]' and
-     'u[n]'), replace 'f[0]' by 'f[0]-a[0]u[-1]' and
-     'f[n-1]-c[n-1]u[n]'; then set 'a[0]=c[n-1]=0'.
-
-'real[] solve(real[][] a, real[] b, bool warn=true)'
-     Solve the linear equation 'a'x='b' by LU decomposition and return
-     the solution x, where 'a' is an n \times n matrix and 'b' is an
-     array of length n.  For example:
-     import math;
-     real[][] a={{1,-2,3,0},{4,-5,6,2},{-7,-8,10,5},{1,50,1,-2}};
-     real[] b={7,19,33,3};
-     real[] x=solve(a,b);
-     write(a); write();
-     write(b); write();
-     write(x); write();
-     write(a*x);
-     If 'a' is a singular matrix and 'warn' is 'false', return an empty
-     array.  If the matrix 'a' is tridiagonal, the routine 'tridiagonal'
-     provides a more efficient algorithm (*note tridiagonal::).
-
-'real[][] solve(real[][] a, real[][] b, bool warn=true)'
-     Solve the linear equation 'a'x='b' and return the solution x, where
-     'a' is an n \times n matrix and 'b' is an n \times m matrix.  If
-     'a' is a singular matrix and 'warn' is 'false', return an empty
-     matrix.
-
-'real[][] identity(int n);'
-     returns the n \times n identity matrix.
-
-'real[][] diagonal(... real[] a)'
-     returns the diagonal matrix with diagonal entries given by a.
-
-'real[][] inverse(real[][] a)'
-     returns the inverse of a square matrix 'a'.
-
-'real[] quadraticroots(real a, real b, real c);'
-     This numerically robust solver returns the real roots of the
-     quadratic equation ax^2+bx+c=0, in ascending order.  Multiple roots
-     are listed separately.
-
-'pair[] quadraticroots(explicit pair a, explicit pair b, explicit pair c);'
-     This numerically robust solver returns the complex roots of the
-     quadratic equation ax^2+bx+c=0.
-
-'real[] cubicroots(real a, real b, real c, real d);'
-     This numerically robust solver returns the real roots of the cubic
-     equation ax^3+bx^2+cx+d=0.  Multiple roots are listed separately.
-
-   'Asymptote' includes a full set of vectorized array instructions for
-arithmetic (including self) and logical operations.  These
-element-by-element instructions are implemented in C++ code for speed.
-Given
-real[] a={1,2};
-real[] b={3,2};
-then 'a == b' and 'a >= 2' both evaluate to the vector '{false, true}'.
-To test whether all components of 'a' and 'b' agree, use the boolean
-function 'all(a == b)'.  One can also use conditionals like '(a >= 2) ?
-a : b', which returns the array '{3,2}', or 'write((a >= 2) ? a : null',
-which returns the array '{2}'.
-
-   All of the standard built-in 'libm' functions of signature
-'real(real)' also take a real array as an argument, effectively like an
-implicit call to 'map'.
-
-   As with other built-in types, arrays of the basic data types can be
-read in by assignment.  In this example, the code
-file fin=input("test.txt");
-real[] A=fin;
-
-reads real values into 'A' until the end-of-file is reached (or an I/O
-error occurs).
-
-   The virtual members 'dimension', 'line', 'csv', 'word', and 'read' of
-a file are useful for reading arrays.  For example, if line mode is set
-with 'file line(bool b=true)', then reading will stop once the end of
-the line is reached instead:
-file fin=input("test.txt");
-real[] A=fin.line();
-
-   Since string reads by default read up to the end of line anyway, line
-mode normally has no effect on string array reads.  However, there is a
-white-space delimiter mode for reading strings, 'file word(bool
-b=true)', which causes string reads to respect white-space delimiters,
-instead of the default end-of-line delimiter:
-file fin=input("test.txt").line().word();
-real[] A=fin;
-
-   Another useful mode is comma-separated-value mode, 'file csv(bool
-b=true)', which causes reads to respect comma delimiters:
-file fin=csv(input("test.txt"));
-real[] A=fin;
-
-   To restrict the number of values read, use the 'file dimension(int)'
-function:
-file fin=input("test.txt");
-real[] A=dimension(fin,10);
-
-   This reads 10 values into A, unless end-of-file (or end-of-line in
-line mode) occurs first.  Attempting to read beyond the end of the file
-will produce a runtime error message.  Specifying a value of 0 for the
-integer limit is equivalent to the previous example of reading until
-end-of-file (or end-of-line in line mode) is encountered.
-
-   Two- and three-dimensional arrays of the basic data types can be read
-in like this:
-file fin=input("test.txt");
-real[][] A=fin.dimension(2,3);
-real[][][] B=fin.dimension(2,3,4);
-
-   Sometimes the array dimensions are stored with the data as integer
-fields at the beginning of an array.  Such 1, 2, or 3 dimensional arrays
-can be read in with the virtual member functions 'read(1)', 'read(2)',
-or 'read(3)', respectively:
-file fin=input("test.txt");
-real[] A=fin.read(1);
-real[][] B=fin.read(2);
-real[][][] C=fin.read(3);
-
-   One, two, and three-dimensional arrays of the basic data types can be
-output with the functions 'write(file,T[])', 'write(file,T[][])',
-'write(file,T[][][])', respectively.
-
-
-File: asymptote.info,  Node: Slices,  Prev: Arrays,  Up: Arrays
-
-6.12.1 Slices
--------------
-
-Asymptote allows a section of an array to be addressed as a slice using
-a Python-like syntax.  If 'A' is an array, the expression 'A[m:n]'
-returns a new array consisting of the elements of 'A' with indices from
-'m' up to but not including 'n'.  For example,
-int[] x={0,1,2,3,4,5,6,7,8,9};
-int[] y=x[2:6];  // y={2,3,4,5};
-int[] z=x[5:10]; // z={5,6,7,8,9};
-
-   If the left index is omitted, it is taken be '0'.  If the right index
-is omitted it is taken to be the length of the array.  If both are
-omitted, the slice then goes from the start of the array to the end,
-producing a non-cyclic deep copy of the array.  For example:
-int[] x={0,1,2,3,4,5,6,7,8,9};
-int[] y=x[:4];  // y={0,1,2,3}
-int[] z=x[5:];  // z={5,6,7,8,9}
-int[] w=x[:];   // w={0,1,2,3,4,5,6,7,8,9}, distinct from array x.
-
-   If A is a non-cyclic array, it is illegal to use negative values for
-either of the indices.  If the indices exceed the length of the array,
-however, they are politely truncated to that length.
-
-   For cyclic arrays, the slice 'A[m:n]' still consists of the cells
-with indices in the set ['m','n'), but now negative values and values
-beyond the length of the array are allowed.  The indices simply wrap
-around.  For example:
-
-int[] x={0,1,2,3,4,5,6,7,8,9};
-x.cyclic=true;
-int[] y=x[8:15];  // y={8,9,0,1,2,3,4}.
-int[] z=x[-5:5];  // z={5,6,7,8,9,0,1,2,3,4}
-int[] w=x[-3:17]; // w={7,8,9,0,1,2,3,4,5,6,7,8,9,0,1,2,3,4,5,6}
-
-   Notice that with cyclic arrays, it is possible to include the same
-element of the original array multiple times within a slice.  Regardless
-of the original array, arrays produced by slices are always non-cyclic.
-
-   If the left and right indices of a slice are the same, the result is
-an empty array.  If the array being sliced is empty, the result is an
-empty array.  Any slice with a left index greater than its right index
-will yield an error.
-
-   Slices can also be assigned to, changing the value of the original
-array.  If the array being assigned to the slice has a different length
-than the slice itself, elements will be inserted or removed from the
-array to accommodate it.  For instance:
-string[] toppings={"mayo", "salt", "ham", "lettuce"};
-toppings[0:2]=new string[] {"mustard", "pepper"};
-    // Now toppings={"mustard", "pepper", "ham", "lettuce"}
-toppings[2:3]=new string[] {"turkey", "bacon" };
-    // Now toppings={"mustard", "pepper", "turkey", "bacon", "lettuce"}
-toppings[0:3]=new string[] {"tomato"};
-    // Now toppings={"tomato", "bacon", "lettuce"}
-
-   If an array is assigned to a slice of itself, a copy of the original
-array is assigned to the slice.  That is, code such as 'x[m:n]=x' is
-equivalent to 'x[m:n]=copy(x)'.  One can use the shorthand 'x[m:m]=y' to
-insert the contents of the array 'y' into the array 'x' starting at the
-location just before 'x[m]'.
-
-   For a cyclic array, a slice is bridging if it addresses cells up to
-the end of the array and then continues on to address cells at the start
-of the array.  For instance, if 'A' is a cyclic array of length 10,
-'A[8:12]', 'A[-3:1]', and 'A[5:25]' are bridging slices whereas
-'A[3:7]', 'A[7:10]', 'A[-3:0]' and 'A[103:107]' are not.  Bridging
-slices can only be assigned to if the number of elements in the slice is
-exactly equal to the number of elements we are assigning to it.
-Otherwise, there is no clear way to decide which of the new entries
-should be 'A[0]' and an error is reported.  Non-bridging slices may be
-assigned an array of any length.
-
-   For a cyclic array 'A' an expression of the form
-'A[A.length:A.length]' is equivalent to the expression 'A[0:0]' and so
-assigning to this slice will insert values at the start of the array.
-'A.append()' can be used to insert values at the end of the array.
-
-   It is illegal to assign to a slice of a cyclic array that repeats any
-of the cells.
-
-
-File: asymptote.info,  Node: Casts,  Next: Import,  Prev: Arrays,  Up: Programming
-
-6.13 Casts
-==========
-
-'Asymptote' implicitly casts 'int' to 'real', 'int' to 'pair', 'real' to
-'pair', 'pair' to 'path', 'pair' to 'guide', 'path' to 'guide', 'guide'
-to 'path', 'real' to 'pen', 'pair[]' to 'guide[]', 'pair[]' to 'path[]',
-'path' to 'path[]', and 'guide' to 'path[]', along with various
-three-dimensional casts defined in 'three.asy'.  Implicit casts are
-automatically attempted on assignment and when trying to match function
-calls with possible function signatures.  Implicit casting can be
-inhibited by declaring individual arguments 'explicit' in the function
-signature, say to avoid an ambiguous function call in the following
-example, which outputs 0:
-int f(pair a) {return 0;}
-int f(explicit real x) {return 1;}
-
-write(f(0));
-
-   Other conversions, say 'real' to 'int' or 'real' to 'string', require
-an explicit cast:
-int i=(int) 2.5;
-string s=(string) 2.5;
-
-real[] a={2.5,-3.5};
-int[] b=(int []) a;
-write(stdout,b);     // Outputs 2,-3
-   In situations where casting from a string to a type 'T' fails, an
-uninitialized variable is returned; this condition can be detected with
-the function 'bool initialized(T);'
-int i=(int) "2.5";
-assert(initialized(i),"Invalid cast.");
-
-real x=(real) "2.5a";
-assert(initialized(x),"Invalid cast.");
-
-   Casting to user-defined types is also possible using 'operator cast':
-struct rpair {
-  real radius;
-  real angle;
-}
-
-pair operator cast(rpair x) {
-  return (x.radius*cos(x.angle),x.radius*sin(x.angle));
-}
-
-rpair x;
-x.radius=1;
-x.angle=pi/6;
-
-write(x);            // Outputs (0.866025403784439,0.5)
-
-   One must use care when defining new cast operators.  Suppose that in
-some code one wants all integers to represent multiples of 100.  To
-convert them to reals, one would first want to multiply them by 100.
-However, the straightforward implementation
-real operator cast(int x) {return x*100;}
-is equivalent to an infinite recursion, since the result 'x*100' needs
-itself to be cast from an integer to a real.  Instead, we want to use
-the standard conversion of int to real:
-real convert(int x) {return x*100;}
-real operator cast(int x)=convert;
-
-   Explicit casts are implemented similarly, with 'operator ecast'.
-
-
-File: asymptote.info,  Node: Import,  Next: Static,  Prev: Casts,  Up: Programming
-
-6.14 Import
-===========
-
-While 'Asymptote' provides many features by default, some applications
-require specialized features contained in external 'Asymptote' modules.
-For instance, the lines
-access graph;
-graph.axes();
-draw x and y axes on a two-dimensional graph.  Here, the command looks
-up the module under the name 'graph' in a global dictionary of modules
-and puts it in a new variable named 'graph'.  The module is a structure,
-and we can refer to its fields as we usually would with a structure.
-
-   Often, one wants to use module functions without having to specify
-the module name.  The code
-from graph access axes;
-adds the 'axes' field of 'graph' into the local name space, so that
-subsequently, one can just write 'axes()'.  If the given name is
-overloaded, all types and variables of that name are added.  To add more
-than one name, just use a comma-separated list:
-from graph access axes, xaxis, yaxis;
-Wild card notation can be used to add all non-private fields and types
-of a module to the local name space:
-
-from graph access *;
-
-   Similarly, one can add the non-private fields and types of a
-structure to the local environment with the 'unravel' keyword:
-struct matrix { 
-  real a,b,c,d; 
-} 
- 
-real det(matrix m) { 
-  unravel m; 
-  return a*d-b*c; 
-} 
-   Alternatively, one can unravel selective fields:
-real det(matrix m) { 
-  from m unravel a,b,c as C,d;
-  return a*d-b*C; 
-} 
-
-   The command
-import graph;
-   is a convenient abbreviation for the commands
-access graph;
-unravel graph;
-   That is, 'import graph' first loads a module into a structure called
-'graph' and then adds its non-private fields and types to the local
-environment.  This way, if a member variable (or function) is
-overwritten with a local variable (or function of the same signature),
-the original one can still be accessed by qualifying it with the module
-name.
-
-   Wild card importing will work fine in most cases, but one does not
-usually know all of the internal types and variables of a module, which
-can also change as the module writer adds or changes features of the
-module.  As such, it is prudent to add 'import' commands at the start of
-an 'Asymptote' file, so that imported names won't shadow locally defined
-functions.  Still, imported names may shadow other imported names,
-depending on the order in which they were imported, and imported
-functions may cause overloading resolution problems if they have the
-same name as local functions defined later.
-
-   To rename modules or fields when adding them to the local
-environment, use 'as':
-access graph as graph2d;
-from graph access xaxis as xline, yaxis as yline;
-
-   The command
-import graph as graph2d;
-   is a convenient abbreviation for the commands
-access graph as graph2d;
-unravel graph2d;
-
-   Except for a few built-in modules, such as 'settings', all modules
-are implemented as 'Asymptote' files.  When looking up a module that has
-not yet been loaded, 'Asymptote' searches the standard search paths
-(*note Search paths::) for the matching file.  The file corresponding to
-that name is read and the code within it is interpreted as the body of a
-structure defining the module.
-
-   If the file name contains nonalphanumeric characters, enclose it with
-quotation marks:
-
-'access "/usr/local/share/asymptote/graph.asy" as graph;'
-
-'from "/usr/local/share/asymptote/graph.asy" access axes;'
-
-'import "/usr/local/share/asymptote/graph.asy" as graph;'
-
-   It is an error if modules import themselves (or each other in a
-cycle).  The module name to be imported must be known at compile time.
-
-   However, you can import an 'Asymptote' module determined by the
-string 's' at runtime like this:
-eval("import "+s,true);
-
-   To conditionally execute an array of asy files, use
-void asy(string format, bool overwrite ... string[] s);
-   The file will only be processed, using output format 'format', if
-overwrite is 'true' or the output file is missing.
-
-   One can evaluate an 'Asymptote' expression (without any return value,
-however) contained in the string 's' with:
-void eval(string s, bool embedded=false);
-   It is not necessary to terminate the string 's' with a semicolon.  If
-'embedded' is 'true', the string will be evaluated at the top level of
-the current environment.  If 'embedded' is 'false' (the default), the
-string will be evaluated in an independent environment, sharing the same
-'settings' module (*note settings::).
-
-   One can evaluate arbitrary 'Asymptote' code (which may contain
-unescaped quotation marks) with the command
-void eval(code s, bool embedded=false);
-   Here 'code' is a special type used with 'quote {}' to enclose
-'Asymptote code' like this:
-real a=1;
-code s=quote {
-  write(a);
-};
-eval(s,true);        // Outputs 1
-
-   To include the contents of an existing file 'graph' verbatim (as if
-the contents of the file were inserted at that point), use one of the
-forms:
-include graph;
-
-'include "/usr/local/share/asymptote/graph.asy";'
-
-   To list all global functions and variables defined in a module named
-by the contents of the string 's', use the function
-void list(string s, bool imports=false);
-Imported global functions and variables are also listed if 'imports' is
-'true'.
-
-
-File: asymptote.info,  Node: Static,  Prev: Import,  Up: Programming
-
-6.15 Static
-===========
-
-Static qualifiers allocate the memory address of a variable in a higher
-enclosing level.
-
-   For a function body, the variable is allocated in the block where the
-function is defined; so in the code
-struct s {
-  int count() {
-    static int c=0;
-    ++c;
-    return c;
-  }
-}
-
-there is one instance of the variable 'c' for each object 's' (as
-opposed to each call of 'count').
-
-   Similarly, in
-int factorial(int n) {
-  int helper(int k) {
-    static int x=1;
-    x *= k;
-    return k == 1 ? x : helper(k-1);
-  }
-  return helper(n);
-}
-
-there is one instance of 'x' for every call to 'factorial' (and not for
-every call to 'helper'), so this is a correct, but ugly, implementation
-of factorial.
-
-   Similarly, a static variable declared within a structure is allocated
-in the block where the structure is defined.  Thus,
-struct A {
-  struct B {
-    static pair z;
-  }
-}
-
-creates one object 'z' for each object of type 'A' created.
-
-   In this example,
-int pow(int n, int k) {
-  struct A {
-    static int x=1;
-    void helper() {
-      x *= n;
-    }
-  }
-  for(int i=0; i < k; ++i) {
-    A a;
-    a.helper();
-  }
-  return A.x;
-}
-
-there is one instance of 'x' for each call to 'pow', so this is an ugly
-implementation of exponentiation.
-
-   Loop constructs allocate a new frame in every iteration.  This is so
-that higher-order functions can refer to variables of a specific
-iteration of a loop:
-void f();
-for(int i=0; i < 10; ++i) {
-  int x=i;
-  if(x==5) {
-    f=new void () { write(x); }
-  }
-}
-f();
-
-   Here, every iteration of the loop has its own variable 'x', so 'f()'
-will write '5'.  If a variable in a loop is declared static, it will be
-allocated where the enclosing function or structure was defined (just as
-if it were declared static outside of the loop).  For instance, in:
-void f() {
-  static int x;
-  for(int i=0; i < 10; ++i) {
-    static int y;
-  }
-}
-both 'x' and 'y' will be allocated in the same place, which is also
-where 'f' is also allocated.
-
-   Statements may also be declared static, in which case they are run at
-the place where the enclosing function or structure is defined.
-Declarations or statements not enclosed in a function or structure
-definition are already at the top level, so static modifiers are
-meaningless.  A warning is given in such a case.
-
-   Since structures can have static fields, it is not always clear for a
-qualified name whether the qualifier is a variable or a type.  For
-instance, in:
-
-struct A {
-  static int x;
-}
-pair A;
-
-int y=A.x;
-does the 'A' in 'A.x' refer to the structure or to the pair variable.
-It is the convention in Asymptote that, if there is a non-function
-variable with the same name as the qualifier, the qualifier refers to
-that variable, and not to the type.  This is regardless of what fields
-the variable actually possesses.
-
-
-File: asymptote.info,  Node: LaTeX usage,  Next: Base modules,  Prev: Programming,  Up: Top
-
-7 'LaTeX' usage
-***************
-
-'Asymptote' comes with a convenient 'LaTeX' style file 'asymptote.sty'
-(v1.33 or later required) that makes 'LaTeX' 'Asymptote'-aware.
-Entering 'Asymptote' code directly into the 'LaTeX' source file, at the
-point where it is needed, keeps figures organized and avoids the need to
-invent new file names for each figure.  Simply add the line
-'\usepackage{asymptote}' at the beginning of your file and enclose your
-'Asymptote' code within a '\begin{asy}...\end{asy}' environment.  As
-with the 'LaTeX' 'comment' environment, the '\end{asy}' command must
-appear on a line by itself, with no trailing commands/comments.  A blank
-line is not allowed after '\begin{asy}'.
-
-   The sample 'LaTeX' file below, named 'latexusage.tex', can be run as
-follows:
-latex latexusage
-asy latexusage-*.asy
-latex latexusage
-
-or
-pdflatex latexusage
-asy latexusage-*.asy
-pdflatex latexusage
-To switch between using inline Asymptote code with 'latex' and
-'pdflatex' you may first need to remove the files 'latexusage-*.tex'.
-
-   An even better method for processing a 'LaTeX' file with embedded
-'Asymptote' code is to use the 'latexmk' utility from
-     <http://mirror.ctan.org/support/latexmk/>
-after putting the contents of
-<http://sourceforge.net/p/asymptote/code/HEAD/tree/trunk/asymptote/doc/latexmkrc>
-in a file 'latexmkrc' in the same directory.  The command
-latexmk -pdf latexusage
-will then call 'Asymptote' automatically, recompiling only the figures
-that have changed.  Since each figure is compiled in a separate system
-process, this method also tends to use less memory.  To store the
-figures in a separate directory named 'asy', one can define
-\def\asydir{asy}
-   in 'latexusage.tex' and put the contents of
-<http://sourceforge.net/p/asymptote/code/HEAD/tree/trunk/asymptote/doc/latexmkrc_asydir>
-in a file 'latexmkrc' in the same directory.  External 'Asymptote' code
-in 'filename.asy' should be included with
-\asyinclude[<options>]{<filename.asy>}
-so that 'latexmk' will recognize when the code is changed.  Note that
-'latemk' requires 'perl', available from <http://www.perl.org/>.
-
-   One can specify 'width', 'height', 'keepAspect', 'viewportwidth',
-'viewportheight', 'attach', and 'inline'.  'keyval'-style options to the
-'asy' and 'asyinclude' environments.  Three-dimensional PRC files may
-either be embedded within the page (the default) or attached as
-annotated (but printable) attachments, using the 'attach' option and the
-'attachfile2' (or older 'attachfile') 'LaTeX' package.  The 'inline'
-option generates inline 'LaTeX' code instead of EPS or PDF files.  This
-makes 2D LaTeX symbols visible to the '\begin{asy}...\end{asy}'
-environment.  In this mode, Asymptote correctly aligns 2D LaTeX symbols
-defined outside of '\begin{asy}...\end{asy}', but treats their size as
-zero; an optional second string can be given to 'Label' to provide an
-estimate of the unknown label size.
-
-   Note that if the 'latex' TeX engine is used with the 'inline' option,
-labels might not show up in DVI viewers that cannot handle raw
-'PostScript' code.  One can use 'dvips'/'dvipdf' to produce
-'PostScript'/PDF output (we recommend using the modified version of
-'dvipdf' in the 'Asymptote' patches directory, which accepts the 'dvips
--z' hyperdvi option).
-
-   Here now is 'latexusage.tex':
-\documentclass[12pt]{article}
-
-% Use this form to include EPS (latex) or PDF (pdflatex) files:
-%\usepackage{asymptote}
-
-% Use this form with latex or pdflatex to include inline LaTeX code by default:
-\usepackage[inline]{asymptote}
-
-% Use this form with latex or pdflatex to create PDF attachments by default:
-%\usepackage[attach]{asymptote}
-
-% Enable this line to support the attach option:
-%\usepackage[dvips]{attachfile2}
-
-\begin{document}
-
-% Optional subdirectory for latex files (no spaces):
-\def\asylatexdir{}
-% Optional subdirectory for asy files (no spaces):
-\def\asydir{}
-
-\begin{asydef}
-// Global Asymptote definitions can be put here.
-import three;
-usepackage("bm");
-texpreamble("\def\V#1{\bm{#1}}");
-// One can globally override the default toolbar settings here:
-// settings.toolbar=true;
-\end{asydef}
-
-Here is a venn diagram produced with Asymptote, drawn to width 4cm:
-
-\def\A{A}
-\def\B{\V{B}}
-
-%\begin{figure}
-\begin{center}
-\begin{asy}
-size(4cm,0);
-pen colour1=red;
-pen colour2=green;
-
-pair z0=(0,0);
-pair z1=(-1,0);
-pair z2=(1,0);
-real r=1.5;
-path c1=circle(z1,r);
-path c2=circle(z2,r);
-fill(c1,colour1);
-fill(c2,colour2);
-
-picture intersection=new picture;
-fill(intersection,c1,colour1+colour2);
-clip(intersection,c2);
-
-add(intersection);
-
-draw(c1);
-draw(c2);
-
-//draw("$\A$",box,z1);              // Requires [inline] package option.
-//draw(Label("$\B$","$B$"),box,z2); // Requires [inline] package option.
-draw("$A$",box,z1);            
-draw("$\V{B}$",box,z2);
-
-pair z=(0,-2);
-real m=3;
-margin BigMargin=Margin(0,m*dot(unit(z1-z),unit(z0-z)));
-
-draw(Label("$A\cap B$",0),conj(z)--z0,Arrow,BigMargin);
-draw(Label("$A\cup B$",0),z--z0,Arrow,BigMargin);
-draw(z--z1,Arrow,Margin(0,m));
-draw(z--z2,Arrow,Margin(0,m));
-
-shipout(bbox(0.25cm));
-\end{asy}
-%\caption{Venn diagram}\label{venn}
-\end{center}
-%\end{figure}
-
-Each graph is drawn in its own environment. One can specify the width
-and height to \LaTeX\ explicitly. This 3D example can be viewed
-interactively either with Adobe Reader or Asymptote's fast OpenGL-based
-renderer. To support {\tt latexmk}, 3D figures should specify
-\verb+inline=true+. It is sometimes desirable to embed 3D files as annotated
-attachments; this requires the \verb+attach=true+ option as well as the
-\verb+attachfile2+ \LaTeX\ package.
-\begin{center}
-\begin{asy}[height=4cm,inline=true,attach=false,viewportwidth=\linewidth]
-currentprojection=orthographic(5,4,2);
-draw(unitcube,blue);
-label("$V-E+F=2$",(0,1,0.5),3Y,blue+fontsize(17pt));
-\end{asy}
-\end{center}
-
-One can also scale the figure to the full line width:
-\begin{center}
-\begin{asy}[width=\the\linewidth,inline=true]
-pair z0=(0,0);
-pair z1=(2,0);
-pair z2=(5,0);
-pair zf=z1+0.75*(z2-z1);
-
-draw(z1--z2);
-dot(z1,red+0.15cm);
-dot(z2,darkgreen+0.3cm);
-label("$m$",z1,1.2N,red);
-label("$M$",z2,1.5N,darkgreen);
-label("$\hat{\ }$",zf,0.2*S,fontsize(24pt)+blue);
-
-pair s=-0.2*I;
-draw("$x$",z0+s--z1+s,N,red,Arrows,Bars,PenMargins);
-s=-0.5*I;
-draw("$\bar{x}$",z0+s--zf+s,blue,Arrows,Bars,PenMargins);
-s=-0.95*I;
-draw("$X$",z0+s--z2+s,darkgreen,Arrows,Bars,PenMargins);
-\end{asy}
-\end{center}
-\end{document}
-[latexusage]
-
-File: asymptote.info,  Node: Base modules,  Next: Options,  Prev: LaTeX usage,  Up: Top
-
-8 Base modules
-**************
-
-'Asymptote' currently ships with the following base modules:
-
-* Menu:
-
-* plain::                       Default 'Asymptote' base file
-* simplex::                     Linear programming: simplex method
-* math::                        Extend 'Asymptote''s math capabilities
-* interpolate::                 Interpolation routines
-* geometry::                    Geometry routines
-* trembling::                   Wavy lines
-* stats::                       Statistics routines and histograms
-* patterns::                    Custom fill and draw patterns
-* markers::                     Custom path marker routines
-* tree::                        Dynamic binary search tree
-* binarytree::                  Binary tree drawing module
-* drawtree::                    Tree drawing module
-* syzygy::                      Syzygy and braid drawing module
-* feynman::                     Feynman diagrams
-* roundedpath::                 Round the sharp corners of paths
-* animation::                   Embedded PDF and MPEG movies
-* embed::                       Embedding movies, sounds, and 3D objects
-* slide::                       Making presentations with 'Asymptote'
-* MetaPost::                    'MetaPost' compatibility routines
-* unicode::                     Accept 'unicode' (UTF-8) characters
-* latin1::                      Accept 'ISO 8859-1' characters
-* babel::                       Interface to 'LaTeX' 'babel' package
-* labelpath::                   Drawing curved labels
-* labelpath3::                  Drawing curved labels in 3D
-* annotate::                    Annotate your PDF files
-* CAD::                         2D CAD pen and measurement functions (DIN 15)
-* graph::                       2D linear & logarithmic graphs
-* palette::                     Color density images and palettes
-* three::                       3D vector graphics
-* obj::                         3D obj files
-* graph3::                      3D linear & logarithmic graphs
-* grid3::                       3D grids
-* solids::                      3D solid geometry
-* tube::                        3D rotation minimizing tubes
-* flowchart::                   Flowchart drawing routines
-* contour::                     Contour lines
-* contour3::                    Contour surfaces
-* smoothcontour3::              Smooth implicit surfaces
-* slopefield::                  Slope fields
-* ode::                         Ordinary differential equations
-
-
-File: asymptote.info,  Node: plain,  Next: simplex,  Prev: Base modules,  Up: Base modules
-
-8.1 'plain'
-===========
-
-This is the default 'Asymptote' base file, which defines key parts of
-the drawing language (such as the 'picture' structure).
-
-   By default, an implicit 'private import plain;' occurs before
-translating a file and before the first command given in interactive
-mode.  This also applies when translating files for module definitions
-(except when translating 'plain', of course).  This means that the types
-and functions defined in 'plain' are accessible in almost all
-'Asymptote' code.  Use the '-noautoplain' command-line option to disable
-this feature.
-
-
-File: asymptote.info,  Node: simplex,  Next: math,  Prev: plain,  Up: Base modules
-
-8.2 'simplex'
-=============
-
-This package solves the two-variable linear programming problem using
-the simplex method.  It is used by the module 'plain' for automatic
-sizing of pictures.
-
-
-File: asymptote.info,  Node: math,  Next: interpolate,  Prev: simplex,  Up: Base modules
-
-8.3 'math'
-==========
-
-This package extends 'Asymptote''s mathematical capabilities with useful
-functions such as
-
-'void drawline(picture pic=currentpicture, pair P, pair Q, pen p=currentpen);'
-     draw the visible portion of the (infinite) line going through 'P'
-     and 'Q', without altering the size of picture 'pic', using pen 'p'.
-
-'real intersect(triple P, triple Q, triple n, triple Z);'
-     returns the intersection time of the extension of the line segment
-     'PQ' with the plane perpendicular to 'n' and passing through 'Z'.
-
-'triple intersectionpoint(triple n0, triple P0, triple n1, triple P1);'
-     Return any point on the intersection of the two planes with normals
-     'n0' and 'n1' passing through points 'P0' and 'P1', respectively.
-     If the planes are parallel, return '(infinity,infinity,infinity)'.
-
-'pair[] quarticroots(real a, real b, real c, real d, real e);'
-     returns the four complex roots of the quartic equation
-     ax^4+bx^3+cx^2+dx+e=0.
-
-'pair[][] fft(pair[][] a, int sign=1)'
-     returns the two-dimensional Fourier transform of a using the given
-     'sign'.
-
-'real time(path g, real x, int n=0)'
-     returns the 'n'th intersection time of path 'g' with the vertical
-     line through x.
-
-'real time(path g, explicit pair z, int n=0)'
-     returns the 'n'th intersection time of path 'g' with the horizontal
-     line through '(0,z.y)'.
-
-'real value(path g, real x, int n=0)'
-     returns the 'n'th 'y' value of 'g' at 'x'.
-
-'real value(path g, explicit pair z, int n=0)'
-     returns the 'n'th 'x' value of 'g' at 'y=z.y'.
-
-'real slope(path g, real x, int n=0)'
-     returns the 'n'th slope of 'g' at 'x'.
-
-'real slope(path g, explicit pair z, int n=0)'
-     returns the 'n'th slope of 'g' at 'y=z.y'.
-
-     int[][] segment(bool[] b) returns the indices of consecutive
-     true-element segments of bool[] 'b'.
-
-'real[] partialsum(real[] a)'
-     returns the partial sums of a real array 'a'.
-
-'real[] partialsum(real[] a, real[] dx)'
-     returns the partial 'dx'-weighted sums of a real array 'a'.
-
-'bool increasing(real[] a, bool strict=false)'
-     returns, if 'strict=false', whether 'i > j' implies 'a[i] >= a[j]',
-     or if 'strict=true', whether 'i > j' implies implies 'a[i] > a[j]'.
-
-'int unique(real[] a, real x)'
-     if the sorted array 'a' does not contain 'x', insert it
-     sequentially, returning the index of 'x' in the resulting array.
-
-'bool lexorder(pair a, pair b)'
-     returns the strict lexicographical partial order of 'a' and 'b'.
-
-'bool lexorder(triple a, triple b)'
-     returns the strict lexicographical partial order of 'a' and 'b'.
-
-
-File: asymptote.info,  Node: interpolate,  Next: geometry,  Prev: math,  Up: Base modules
-
-8.4 'interpolate'
-=================
-
-This module implements Lagrange, Hermite, and standard cubic spline
-interpolation in 'Asymptote', as illustrated in the example
-'interpolate1.asy'.
-
-
-File: asymptote.info,  Node: geometry,  Next: trembling,  Prev: interpolate,  Up: Base modules
-
-8.5 'geometry'
-==============
-
-This module, written by Philippe Ivaldi, provides an extensive set of
-geometry routines, including 'perpendicular' symbols and a 'triangle'
-structure.  Link to the documentation for the 'geometry' module are
-posted here: <http://asymptote.sourceforge.net/links.html>, including an
-extensive set of examples,
-<http://www.piprime.fr/files/asymptote/geometry/>, and an index:
-     <http://www.piprime.fr/files/asymptote/geometry/modules/geometry.asy.index.type.html>
-
-
-File: asymptote.info,  Node: trembling,  Next: stats,  Prev: geometry,  Up: Base modules
-
-8.6 'trembling'
-===============
-
-This module, written by Philippe Ivaldi and illustrated in the example
-'floatingdisk.asy', allows one to draw wavy lines, as if drawn by hand.
-
-
-File: asymptote.info,  Node: stats,  Next: patterns,  Prev: trembling,  Up: Base modules
-
-8.7 'stats'
-===========
-
-This package implements a Gaussian random number generator and a
-collection of statistics routines, including 'histogram' and
-'leastsquares'.
-
-
-File: asymptote.info,  Node: patterns,  Next: markers,  Prev: stats,  Up: Base modules
-
-8.8 'patterns'
-==============
-
-This package implements 'Postscript' tiling patterns and includes
-several convenient pattern generation routines.
-
-
-File: asymptote.info,  Node: markers,  Next: tree,  Prev: patterns,  Up: Base modules
-
-8.9 'markers'
-=============
-
-This package implements specialized routines for marking paths and
-angles.  The principal mark routine provided by this package is
-markroutine markinterval(int n=1, frame f, bool rotated=false);
-which centers 'n' copies of frame 'f' within uniformly space intervals
-in arclength along the path, optionally rotated by the angle of the
-local tangent.
-
-   The 'marker' (*note marker::) routine can be used to construct new
-markers from these predefined frames:
-
-frame stickframe(int n=1, real size=0, pair space=0, real angle=0,
-                 pair offset=0, pen p=currentpen);
-frame circlebarframe(int n=1, real barsize=0,
-                     real radius=0,real angle=0,
-                     pair offset=0, pen p=currentpen,
-                     filltype filltype=NoFill, bool above=false);
-frame crossframe(int n=3, real size=0, pair space=0,
-                 real angle=0, pair offset=0, pen p=currentpen);
-frame tildeframe(int n=1, real size=0, pair space=0,
-                 real angle=0, pair offset=0, pen p=currentpen);
-
-   For convenience, this module also constructs the markers
-'StickIntervalMarker', 'CrossIntervalMarker', 'CircleBarIntervalMarker',
-and 'TildeIntervalMarker' from the above frames.  The example
-'markers1.asy' illustrates the use of these markers:
-
-
-                              [markers1]
-
-   This package also provides a routine for marking an angle AOB:
-void markangle(picture pic=currentpicture, Label L="",
-               int n=1, real radius=0, real space=0,
-               pair A, pair O, pair B, arrowbar arrow=None,
-               pen p=currentpen, margin margin=NoMargin,
-               marker marker=nomarker);
-as illustrated in the example 'markers2.asy'.
-
-
-                              [markers2]
-
-
-File: asymptote.info,  Node: tree,  Next: binarytree,  Prev: markers,  Up: Base modules
-
-8.10 'tree'
-===========
-
-This package implements an example of a dynamic binary search tree.
-
-
-File: asymptote.info,  Node: binarytree,  Next: drawtree,  Prev: tree,  Up: Base modules
-
-8.11 'binarytree'
-=================
-
-This module can be used to draw an arbitrary binary tree and includes an
-input routine for the special case of a binary search tree, as
-illustrated in the example 'binarytreetest.asy':
-import binarytree;
-
-picture pic,pic2;
-
-binarytree bt=binarytree(1,2,4,nil,5,nil,nil,0,nil,nil,3,6,nil,nil,7);
-draw(pic,bt,condensed=false);
-
-binarytree st=searchtree(10,5,2,1,3,4,7,6,8,9,15,13,12,11,14,17,16,18,19);
-draw(pic2,st,blue,condensed=true);
-
-add(pic.fit(),(0,0),10N);
-add(pic2.fit(),(0,0),10S);
-
-
-                           [binarytreetest]
-
-
-File: asymptote.info,  Node: drawtree,  Next: syzygy,  Prev: binarytree,  Up: Base modules
-
-8.12 'drawtree'
-===============
-
-This is a simple tree drawing module used by the example 'treetest.asy'.
-
-
-File: asymptote.info,  Node: syzygy,  Next: feynman,  Prev: drawtree,  Up: Base modules
-
-8.13 'syzygy'
-=============
-
-This module automates the drawing of braids, relations, and syzygies,
-along with the corresponding equations, as illustrated in the example
-'knots.asy'.
-
-
-File: asymptote.info,  Node: feynman,  Next: roundedpath,  Prev: syzygy,  Up: Base modules
-
-8.14 'feynman'
-==============
-
-This package, contributed by Martin Wiebusch, is useful for drawing
-Feynman diagrams, as illustrated by the examples 'eetomumu.asy' and
-'fermi.asy'.
-
-
-File: asymptote.info,  Node: roundedpath,  Next: animation,  Prev: feynman,  Up: Base modules
-
-8.15 'roundedpath'
-==================
-
-This package, contributed by Stefan Knorr, is useful for rounding the
-sharp corners of paths, as illustrated in the example file
-'roundpath.asy'.
-
-
-File: asymptote.info,  Node: animation,  Next: embed,  Prev: roundedpath,  Up: Base modules
-
-8.16 'animation'
-================
-
-This module allows one to generate animations, as illustrated by the
-files 'wheel.asy', 'wavepacket.asy', and 'cube.asy' in the 'animations'
-subdirectory of the examples directory.  These animations use the
-'ImageMagick' 'convert' program to merge multiple images into a GIF or
-MPEG movie.
-
-   The related 'animate' module, derived from the 'animation' module,
-generates higher-quality portable clickable PDF movies, with optional
-controls.  This requires installing the package
-     <http://mirror.ctan.org/macros/latex/contrib/animate/animate.sty>
-(version 2007/11/30 or later) in a new directory 'animate' in the local
-'LaTeX' directory (for example, in
-'/usr/local/share/texmf/tex/latex/animate').  On 'UNIX' systems, one
-must then execute the command 'texhash'.
-
-   The example 'pdfmovie.asy' in the 'animations' directory, along with
-the slide presentations 'slidemovies.asy' and 'intro.asy', illustrate
-the use of embedded PDF movies.  The examples 'inlinemovie.tex' and
-'inlinemovie3.tex' show how to generate and embed PDF movies directly
-within a 'LaTeX' file (*note LaTeX usage::).  The member function
-string pdf(fit fit=NoBox, real delay=animationdelay, string options="",
-           bool keep=settings.keep, bool multipage=true);
-of the 'animate' structure accepts any of the 'animate.sty' options, as
-described here:
-     <http://mirror.ctan.org/macros/latex/contrib/animate/doc/animate.pdf>
-
-
-File: asymptote.info,  Node: embed,  Next: slide,  Prev: animation,  Up: Base modules
-
-8.17 'embed'
-============
-
-This module provides an interface to the 'LaTeX' package (included with
-'MikTeX')
-     <http://mirror.ctan.org/macros/latex/contrib/media9>
-for embedding movies, sounds, and 3D objects into a PDF document.
-
-   A more portable method for embedding movie files, which should work
-on any platform and does not require the 'media9' package, is provided
-by using the 'external' module instead of 'embed'.
-
-   Examples of the above two interfaces is provided in the file
-'embeddedmovie.asy' and 'externalmovie.asy' in the 'animations'
-subdirectory of the examples directory.  For a higher quality embedded
-movie generated directly by 'Asymptote', use the 'animate' module along
-with the 'animate.sty' package to embed a portable PDF animation (*note
-animate::).
-
-   An example of embedding 'U3D' code is provided in the file
-'embeddedu3d.asy'.
-
-
-File: asymptote.info,  Node: slide,  Next: MetaPost,  Prev: embed,  Up: Base modules
-
-8.18 'slide'
-============
-
-This package provides a simple yet high-quality facility for making
-presentation slides, including portable embedded PDF animations (see the
-file 'slidemovies.asy').  A simple example is provided in the file
-'slidedemo.asy'.
-
-
-File: asymptote.info,  Node: MetaPost,  Next: unicode,  Prev: slide,  Up: Base modules
-
-8.19 'MetaPost'
-===============
-
-This package provides some useful routines to help 'MetaPost' users
-migrate old 'MetaPost' code to 'Asymptote'.  Further contributions here
-are welcome.
-
-   Unlike 'MetaPost', 'Asymptote' does not implicitly solve linear
-equations and therefore does not have the notion of a 'whatever'
-unknown.  The routine 'extension' (*note extension::) provides a useful
-replacement for a common use of 'whatever': finding the intersection
-point of the lines through 'P', 'Q' and 'p', 'q'.  For less common
-occurrences of 'whatever', one can use the built-in explicit linear
-equation solver 'solve' instead.
-
-
-File: asymptote.info,  Node: unicode,  Next: latin1,  Prev: MetaPost,  Up: Base modules
-
-8.20 'unicode'
-==============
-
-Import this package at the beginning of the file to instruct 'LaTeX' to
-accept 'unicode' (UTF-8) standardized international characters.  To use
-Cyrillic fonts, you will need to change the font encoding:
-import unicode;
-texpreamble("\usepackage{mathtext}\usepackage[russian]{babel}");
-defaultpen(font("T2A","cmr","m","n"));
-Support for Chinese, Japanese, and Korean fonts is provided by the CJK
-package:
-     <http://mirror.ctan.org/languages/chinese/CJK/>
-The following commands enable the CJK song family (within a label, you
-can also temporarily switch to another family, say kai, by prepending
-'"\CJKfamily{kai}"' to the label string):
-texpreamble("\usepackage{CJK}
-\AtBeginDocument{\begin{CJK*}{GBK}{song}}
-\AtEndDocument{\clearpage\end{CJK*}}");
-
-
-File: asymptote.info,  Node: latin1,  Next: babel,  Prev: unicode,  Up: Base modules
-
-8.21 'latin1'
-=============
-
-If you don't have 'LaTeX' support for 'unicode' installed, you can
-enable support for Western European languages (ISO 8859-1) by importing
-the module 'latin1'.  This module can be used as a template for
-providing support for other ISO 8859 alphabets.
-
-
-File: asymptote.info,  Node: babel,  Next: labelpath,  Prev: latin1,  Up: Base modules
-
-8.22 'babel'
-============
-
-This module implements the 'LaTeX' 'babel' package in 'Asymptote'.  For
-example:
-import babel;
-babel("german");
-
-
-File: asymptote.info,  Node: labelpath,  Next: labelpath3,  Prev: babel,  Up: Base modules
-
-8.23 'labelpath'
-================
-
-This module uses the 'PSTricks' 'pstextpath' macro to fit labels along a
-path (properly kerned, as illustrated in the example file
-'curvedlabel.asy'), using the command
-void labelpath(picture pic=currentpicture, Label L, path g,
-               string justify=Centered, pen p=currentpen);
-Here 'justify' is one of 'LeftJustified', 'Centered', or
-'RightJustified'.  The x component of a shift transform applied to the
-Label is interpreted as a shift along the curve, whereas the y component
-is interpreted as a shift away from the curve.  All other Label
-transforms are ignored.  This package requires the 'latex' tex engine
-and inherits the limitations of the 'PSTricks' '\pstextpath' macro.
-
-
-File: asymptote.info,  Node: labelpath3,  Next: annotate,  Prev: labelpath,  Up: Base modules
-
-8.24 'labelpath3'
-=================
-
-This module, contributed by Jens Schwaiger, implements a 3D version of
-'labelpath' that does not require the 'PSTricks' package.  An example is
-provided in 'curvedlabel3.asy'.
-
-
-File: asymptote.info,  Node: annotate,  Next: CAD,  Prev: labelpath3,  Up: Base modules
-
-8.25 'annotate'
-===============
-
-This module supports PDF annotations for viewing with 'Adobe Reader',
-via the function
-void annotate(picture pic=currentpicture, string title, string text,
-              pair position);
-Annotations are illustrated in the example file 'annotation.asy'.
-Currently, annotations are only implemented for the 'latex' (default)
-and 'tex' TeX engines.
-
-
-File: asymptote.info,  Node: CAD,  Next: graph,  Prev: annotate,  Up: Base modules
-
-8.26 'CAD'
-==========
-
-This package, contributed by Mark Henning, provides basic pen
-definitions and measurement functions for simple 2D CAD drawings
-according to DIN 15.  It is documented separately, in the file
-'CAD.pdf'.
-
-
-File: asymptote.info,  Node: graph,  Next: palette,  Prev: CAD,  Up: Base modules
-
-8.27 'graph'
-============
-
-This package implements two-dimensional linear and logarithmic graphs,
-including automatic scale and tick selection (with the ability to
-override manually).  A graph is a 'guide' (that can be drawn with the
-draw command, with an optional legend) constructed with one of the
-following routines:
-
-   * guide graph(picture pic=currentpicture, real f(real), real a, real b,
-                 int n=ngraph, real T(real)=identity,
-                 interpolate join=operator --);
-     guide[] graph(picture pic=currentpicture, real f(real), real a, real b,
-                  int n=ngraph, real T(real)=identity, bool3 cond(real),
-                  interpolate join=operator --);
-
-     Returns a graph using the scaling information for picture 'pic'
-     (*note automatic scaling::) of the function 'f' on the interval
-     ['T'('a'),'T'('b')], sampling at 'n' points evenly spaced in
-     ['a','b'], optionally restricted by the bool3 function 'cond' on
-     ['a','b'].  If 'cond' is:
-        * 'true', the point is added to the existing guide;
-        * 'default', the point is added to a new guide;
-        * 'false', the point is omitted and a new guide is begun.
-     The points are connected using the interpolation specified by
-     'join':
-
-        * 'operator --' (linear interpolation; the abbreviation
-          'Straight' is also accepted);
-
-        * 'operator ..' (piecewise Bezier cubic spline interpolation;
-          the abbreviation 'Spline' is also accepted);
-
-        * 'Hermite' (standard cubic spline interpolation using boundary
-          condition 'notaknot', 'natural', 'periodic', 'clamped(real
-          slopea, real slopeb)'), or 'monotonic'.  The abbreviation
-          'Hermite' is equivalent to 'Hermite(notaknot)' for nonperiodic
-          data and 'Hermite(periodic)' for periodic data).
-
-   * guide graph(picture pic=currentpicture, real x(real), real y(real),
-                 real a, real b, int n=ngraph, real T(real)=identity,
-                 interpolate join=operator --);
-     guide[] graph(picture pic=currentpicture, real x(real), real y(real),
-                   real a, real b, int n=ngraph, real T(real)=identity,
-                   bool3 cond(real), interpolate join=operator --);
-
-     Returns a graph using the scaling information for picture 'pic' of
-     the parametrized function ('x'(t),'y'(t)) for t in the interval
-     ['T'('a'),'T'('b')], sampling at 'n' points evenly spaced in
-     ['a','b'], optionally restricted by the bool3 function 'cond' on
-     ['a','b'], using the given interpolation type.
-
-   * guide graph(picture pic=currentpicture, pair z(real), real a, real b,
-                 int n=ngraph, real T(real)=identity,
-                 interpolate join=operator --);
-     guide[] graph(picture pic=currentpicture, pair z(real), real a, real b,
-                   int n=ngraph, real T(real)=identity, bool3 cond(real),
-                   interpolate join=operator --);
-
-     Returns a graph using the scaling information for picture 'pic' of
-     the parametrized function 'z'(t) for t in the interval
-     ['T'('a'),'T'('b')], sampling at 'n' points evenly spaced in
-     ['a','b'], optionally restricted by the bool3 function 'cond' on
-     ['a','b'], using the given interpolation type.
-
-   * guide graph(picture pic=currentpicture, pair[] z,
-                 interpolate join=operator --);
-     guide[] graph(picture pic=currentpicture, pair[] z, bool3[] cond,
-                   interpolate join=operator --);
-
-     Returns a graph using the scaling information for picture 'pic' of
-     the elements of the array 'z', optionally restricted to those
-     indices for which the elements of the boolean array 'cond' are
-     'true', using the given interpolation type.
-
-   * guide graph(picture pic=currentpicture, real[] x, real[] y,
-                 interpolate join=operator --);
-     guide[] graph(picture pic=currentpicture, real[] x, real[] y,
-                   bool3[] cond, interpolate join=operator --);
-
-     Returns a graph using the scaling information for picture 'pic' of
-     the elements of the arrays ('x','y'), optionally restricted to
-     those indices for which the elements of the boolean array 'cond'
-     are 'true', using the given interpolation type.
-
-   * guide polargraph(picture pic=currentpicture, real f(real), real a,
-                      real b, int n=ngraph, interpolate join=operator --);
-
-     Returns a polar-coordinate graph using the scaling information for
-     picture 'pic' of the function 'f' on the interval ['a','b'],
-     sampling at 'n' evenly spaced points, with the given interpolation
-     type.
-
-   * guide polargraph(picture pic=currentpicture, real[] r, real[] theta,
-                      interpolate join=operator--);
-     Returns a polar-coordinate graph using the scaling information for
-     picture 'pic' of the elements of the arrays ('r','theta'), using
-     the given interpolation type.
-
-
-
-
-   An axis can be drawn on a picture with one of the following commands:
-
-   * void xaxis(picture pic=currentpicture, Label L="", axis axis=YZero,
-                real xmin=-infinity, real xmax=infinity, pen p=currentpen, 
-                ticks ticks=NoTicks, arrowbar arrow=None, bool above=false);
-
-     Draw an x axis on picture 'pic' from x='xmin' to x='xmax' using pen
-     'p', optionally labelling it with Label 'L'.  The relative label
-     location along the axis (a real number from [0,1]) defaults to 1
-     (*note Label::), so that the label is drawn at the end of the axis.
-     An infinite value of 'xmin' or 'xmax' specifies that the
-     corresponding axis limit will be automatically determined from the
-     picture limits.  The optional 'arrow' argument takes the same
-     values as in the 'draw' command (*note arrows::).  The axis is
-     drawn before any existing objects in 'pic' unless 'above=true'.
-     The axis placement is determined by one of the following 'axis'
-     types:
-
-     'YZero(bool extend=true)'
-          Request an x axis at y=0 (or y=1 on a logarithmic axis)
-          extending to the full dimensions of the picture, unless
-          'extend'=false.
-
-     'YEquals(real Y, bool extend=true)'
-          Request an x axis at y='Y' extending to the full dimensions of
-          the picture, unless 'extend'=false.
-
-     'Bottom(bool extend=false)'
-          Request a bottom axis.
-
-     'Top(bool extend=false)'
-          Request a top axis.
-
-     'BottomTop(bool extend=false)'
-          Request a bottom and top axis.
-
-     Custom axis types can be created by following the examples in the
-     module 'graph.asy'.  One can easily override the default values for
-     the standard axis types:
-     import graph;
-     
-     YZero=new axis(bool extend=true) {
-       return new void(picture pic, axisT axis) {
-         real y=pic.scale.x.scale.logarithmic ? 1 : 0;
-         axis.value=I*pic.scale.y.T(y);
-         axis.position=1;
-         axis.side=right;
-         axis.align=2.5E;
-         axis.value2=Infinity;
-         axis.extend=extend;
-       };
-     };
-     YZero=YZero();
-     
-
-     The default tick option is 'NoTicks'.  The options 'LeftTicks',
-     'RightTicks', or 'Ticks' can be used to draw ticks on the left,
-     right, or both sides of the path, relative to the direction in
-     which the path is drawn.  These tick routines accept a number of
-     optional arguments:
-     ticks LeftTicks(Label format="", ticklabel ticklabel=null,
-                     bool beginlabel=true, bool endlabel=true,
-                     int N=0, int n=0, real Step=0, real step=0,
-                     bool begin=true, bool end=true, tickmodifier modify=None,
-                     real Size=0, real size=0, bool extend=false,
-                     pen pTick=nullpen, pen ptick=nullpen);
-
-     If any of these parameters are omitted, reasonable defaults will be
-     chosen:
-     'Label format'
-          override the default tick label format ('defaultformat',
-          initially "$%.4g$"), rotation, pen, and alignment (for
-          example, 'LeftSide', 'Center', or 'RightSide') relative to the
-          axis.  To enable 'LaTeX' math mode fonts, the format string
-          should begin and end with '$' *note format::.  If the format
-          string is 'trailingzero', trailing zeros will be added to the
-          tick labels; if the format string is '"%"', the tick label
-          will be suppressed;
-     'ticklabel'
-          is a function 'string(real x)' returning the label (by
-          default, format(format.s,x)) for each major tick value 'x';
-     'bool beginlabel'
-          include the first label;
-     'bool endlabel'
-          include the last label;
-     'int N'
-          when automatic scaling is enabled (the default; *note
-          automatic scaling::), divide a linear axis evenly into this
-          many intervals, separated by major ticks; for a logarithmic
-          axis, this is the number of decades between labelled ticks;
-     'int n'
-          divide each interval into this many subintervals, separated by
-          minor ticks;
-     'real Step'
-          the tick value spacing between major ticks (if 'N'='0');
-     'real step'
-          the tick value spacing between minor ticks (if 'n'='0');
-     'bool begin'
-          include the first major tick;
-     'bool end'
-          include the last major tick;
-     'tickmodifier modify;'
-          an optional function that takes and returns a 'tickvalue'
-          structure having real[] members 'major' and 'minor' consisting
-          of the tick values (to allow modification of the automatically
-          generated tick values);
-     'real Size'
-          the size of the major ticks (in 'PostScript' coordinates);
-     'real size'
-          the size of the minor ticks (in 'PostScript' coordinates);
-     'bool extend;'
-          extend the ticks between two axes (useful for drawing a grid
-          on the graph);
-     'pen pTick'
-          an optional pen used to draw the major ticks;
-     'pen ptick'
-          an optional pen used to draw the minor ticks.
-
-     For convenience, the predefined tickmodifiers 'OmitTick(... real[]
-     x)', 'OmitTickInterval(real a, real b)', and
-     'OmitTickIntervals(real[] a, real[] b)' can be used to remove
-     specific auto-generated ticks and their labels.  The
-     'OmitFormat(string s=defaultformat ... real[] x)' ticklabel can be
-     used to remove specific tick labels but not the corresponding
-     ticks.  The tickmodifier 'NoZero' is an abbreviation for
-     'OmitTick(0)' and the ticklabel 'NoZeroFormat' is an abbrevation
-     for 'OmitFormat(0)'.
-
-     It is also possible to specify custom tick locations with
-     'LeftTicks', 'RightTicks', and 'Ticks' by passing explicit real
-     arrays 'Ticks' and (optionally) 'ticks' containing the locations of
-     the major and minor ticks, respectively:
-     ticks LeftTicks(Label format="", ticklabel ticklabel=null, 
-                     bool beginlabel=true, bool endlabel=true, 
-                     real[] Ticks, real[] ticks=new real[],
-                     real Size=0, real size=0, bool extend=false,
-                     pen pTick=nullpen, pen ptick=nullpen)
-
-   * void yaxis(picture pic=currentpicture, Label L="", axis axis=XZero,
-                real ymin=-infinity, real ymax=infinity, pen p=currentpen,
-                ticks ticks=NoTicks, arrowbar arrow=None, bool above=false,
-                bool autorotate=true);
-
-     Draw a y axis on picture 'pic' from y='ymin' to y='ymax' using pen
-     'p', optionally labelling it with a Label 'L' that is autorotated
-     unless 'autorotate=false'.  The relative location of the label (a
-     real number from [0,1]) defaults to 1 (*note Label::).  An infinite
-     value of 'ymin' or 'ymax' specifies that the corresponding axis
-     limit will be automatically determined from the picture limits.
-     The optional 'arrow' argument takes the same values as in the
-     'draw' command (*note arrows::).  The axis is drawn before any
-     existing objects in 'pic' unless 'above=true'.  The tick type is
-     specified by 'ticks' and the axis placement is determined by one of
-     the following 'axis' types:
-
-     'XZero(bool extend=true)'
-          Request a y axis at x=0 (or x=1 on a logarithmic axis)
-          extending to the full dimensions of the picture, unless
-          'extend'=false.
-
-     'XEquals(real X, bool extend=true)'
-          Request a y axis at x='X' extending to the full dimensions of
-          the picture, unless 'extend'=false.
-
-     'Left(bool extend=false)'
-          Request a left axis.
-
-     'Right(bool extend=false)'
-          Request a right axis.
-
-     'LeftRight(bool extend=false)'
-          Request a left and right axis.
-
-   * For convenience, the functions
-     void xequals(picture pic=currentpicture, Label L="", real x,
-                  bool extend=false, real ymin=-infinity, real ymax=infinity,
-                  pen p=currentpen, ticks ticks=NoTicks, bool above=true,
-                  arrowbar arrow=None);
-     and
-     void yequals(picture pic=currentpicture, Label L="", real y,
-                  bool extend=false, real xmin=-infinity, real xmax=infinity,
-                  pen p=currentpen, ticks ticks=NoTicks, bool above=true,
-                  arrowbar arrow=None);
-     can be respectively used to call 'yaxis' and 'xaxis' with the
-     appropriate axis types 'XEquals(x,extend)' and 'YEquals(y,extend)'.
-     This is the recommended way of drawing vertical or horizontal lines
-     and axes at arbitrary locations.
-
-   * void axes(picture pic=currentpicture, Label xlabel="", Label ylabel="",
-               bool extend=true,
-               pair min=(-infinity,-infinity), pair max=(infinity,infinity),
-               pen p=currentpen, arrowbar arrow=None, bool above=false);
-     This convenience routine draws both x and y axes on picture 'pic'
-     from 'min' to 'max', with optional labels 'xlabel' and 'ylabel' and
-     any arrows specified by 'arrow'.  The axes are drawn on top of
-     existing objects in 'pic' only if 'above=true'.
-
-   * void axis(picture pic=currentpicture, Label L="", path g,
-               pen p=currentpen, ticks ticks, ticklocate locate,
-               arrowbar arrow=None, int[] divisor=new int[],
-               bool above=false, bool opposite=false);
-
-     This routine can be used to draw on picture 'pic' a general axis
-     based on an arbitrary path 'g', using pen 'p'.  One can optionally
-     label the axis with Label 'L' and add an arrow 'arrow'.  The tick
-     type is given by 'ticks'.  The optional integer array 'divisor'
-     specifies what tick divisors to try in the attempt to produce
-     uncrowded tick labels.  A 'true' value for the flag 'opposite'
-     identifies an unlabelled secondary axis (typically drawn opposite a
-     primary axis).  The axis is drawn before any existing objects in
-     'pic' unless 'above=true'.  The tick locator 'ticklocate' is
-     constructed by the routine
-     ticklocate ticklocate(real a, real b, autoscaleT S=defaultS,
-                           real tickmin=-infinity, real tickmax=infinity,
-                           real time(real)=null, pair dir(real)=zero);
-     where 'a' and 'b' specify the respective tick values at
-     'point(g,0)' and 'point(g,length(g))', 'S' specifies the
-     autoscaling transformation, the function 'real time(real v)'
-     returns the time corresponding to the value 'v', and 'pair dir(real
-     t)' returns the absolute tick direction as a function of 't' (zero
-     means draw the tick perpendicular to the axis).
-
-   * These routines are useful for manually putting ticks and labels on
-     axes (if the variable 'Label' is given as the 'Label' argument, the
-     'format' argument will be used to format a string based on the tick
-     location):
-     void xtick(picture pic=currentpicture, Label L="", explicit pair z,
-                pair dir=N, string format="",
-                real size=Ticksize, pen p=currentpen);
-     void xtick(picture pic=currentpicture, Label L="", real x,
-                pair dir=N, string format="",
-                real size=Ticksize, pen p=currentpen);
-     void ytick(picture pic=currentpicture, Label L="", explicit pair z,
-                pair dir=E, string format="",
-                real size=Ticksize, pen p=currentpen);
-     void ytick(picture pic=currentpicture, Label L="", real y,
-                pair dir=E, string format="",
-                real size=Ticksize, pen p=currentpen);
-     void tick(picture pic=currentpicture, pair z,
-               pair dir, real size=Ticksize, pen p=currentpen);
-     void labelx(picture pic=currentpicture, Label L="", explicit pair z,
-                 align align=S, string format="", pen p=currentpen);
-     void labelx(picture pic=currentpicture, Label L="", real x,
-                 align align=S, string format="", pen p=currentpen);
-     void labelx(picture pic=currentpicture, Label L,
-                 string format="", explicit pen p=currentpen);
-     void labely(picture pic=currentpicture, Label L="", explicit pair z,
-                 align align=W, string format="", pen p=currentpen);
-     void labely(picture pic=currentpicture, Label L="", real y,
-                 align align=W, string format="", pen p=currentpen);
-     void labely(picture pic=currentpicture, Label L,
-                 string format="", explicit pen p=currentpen);
-
-   Here are some simple examples of two-dimensional graphs:
-
-  1. This example draws a textbook-style graph of y= exp(x), with the y
-     axis starting at y=0:
-     import graph;
-     size(150,0);
-     
-     real f(real x) {return exp(x);}
-     pair F(real x) {return (x,f(x));}
-     
-     xaxis("$x$");
-     yaxis("$y$",0);
-     
-     draw(graph(f,-4,2,operator ..),red);
-     
-     labely(1,E);
-     label("$e^x$",F(1),SE);
-     
-
-                                 [exp]
-
-  2. The next example draws a scientific-style graph with a legend.  The
-     position of the legend can be adjusted either explicitly or by
-     using the graphical user interface
-     '<http://asymptote.sourceforge.net/gallery/.pdf>.asy' (*note
-     GUI::).  If an 'UnFill(real xmargin=0, real ymargin=xmargin)' or
-     'Fill(pen)' option is specified to 'add', the legend will obscure
-     any underlying objects.  Here we illustrate how to clip the portion
-     of the picture covered by a label:
-
-     import graph;
-     
-     size(400,200,IgnoreAspect);
-     
-     real Sin(real t) {return sin(2pi*t);}
-     real Cos(real t) {return cos(2pi*t);}
-     
-     draw(graph(Sin,0,1),red,"$\sin(2\pi x)$");
-     draw(graph(Cos,0,1),blue,"$\cos(2\pi x)$");
-     
-     xaxis("$x$",BottomTop,LeftTicks);
-     yaxis("$y$",LeftRight,RightTicks(trailingzero));
-     
-     label("LABEL",point(0),UnFill(1mm));
-     
-     add(legend(),point(E),20E,UnFill);
-
-                            [lineargraph0]
-
-     To specify a fixed size for the graph proper, use 'attach':
-     import graph;
-     
-     size(250,200,IgnoreAspect);
-     
-     real Sin(real t) {return sin(2pi*t);}
-     real Cos(real t) {return cos(2pi*t);}
-     
-     draw(graph(Sin,0,1),red,"$\sin(2\pi x)$");
-     draw(graph(Cos,0,1),blue,"$\cos(2\pi x)$");
-     
-     xaxis("$x$",BottomTop,LeftTicks);
-     yaxis("$y$",LeftRight,RightTicks(trailingzero));
-     
-     label("LABEL",point(0),UnFill(1mm));
-     
-     attach(legend(),truepoint(E),20E,UnFill);
-
-     A legend can have multiple entries per line:
-     import graph; 
-     size(8cm,6cm,IgnoreAspect); 
-      
-     typedef real realfcn(real); 
-     realfcn F(real p) { 
-       return new real(real x) {return sin(p*x);}; 
-     }; 
-      
-     for(int i=1; i < 5; ++i)
-       draw(graph(F(i*pi),0,1),Pen(i),
-            "$\sin("+(i == 1 ? "" : (string) i)+"\pi x)$"); 
-     xaxis("$x$",BottomTop,LeftTicks); 
-     yaxis("$y$",LeftRight,RightTicks(trailingzero)); 
-      
-     attach(legend(2),(point(S).x,truepoint(S).y),10S,UnFill); 
-
-                               [legend]
-
-  3. This example draws a graph of one array versus another (both of the
-     same size) using custom tick locations and a smaller font size for
-     the tick labels on the y axis.
-     import graph;
-     
-     size(200,150,IgnoreAspect);
-     
-     real[] x={0,1,2,3};
-     real[] y=x^2;
-     
-     draw(graph(x,y),red);
-     
-     xaxis("$x$",BottomTop,LeftTicks);
-     yaxis("$y$",LeftRight,
-           RightTicks(Label(fontsize(8pt)),new real[]{0,4,9}));
-
-                              [datagraph]
-
-  4. This example shows how to graph columns of data read from a file.
-     import graph;
-     
-     size(200,150,IgnoreAspect);
-     
-     file in=input("filegraph.dat").line();
-     real[][] a=in;
-     a=transpose(a);
-     
-     real[] x=a[0];
-     real[] y=a[1];
-     
-     draw(graph(x,y),red);
-     
-     xaxis("$x$",BottomTop,LeftTicks);
-     yaxis("$y$",LeftRight,RightTicks);
-
-                              [filegraph]
-
-  5. The next example draws two graphs of an array of coordinate pairs,
-     using frame alignment and data markers.  In the left-hand graph,
-     the markers, constructed with
-     marker marker(path g, markroutine markroutine=marknodes, 
-                   pen p=currentpen, filltype filltype=NoFill,
-                   bool above=true);
-     using the path 'unitcircle' (*note filltype::), are drawn below
-     each node.  Any frame can be converted to a marker, using
-     marker marker(frame f, markroutine markroutine=marknodes,
-                   bool above=true);
-     In the right-hand graph, the unit n-sided regular polygon
-     'polygon(int n)' and the unit n-point cyclic cross 'cross(int n,
-     bool round=true, real r=0)' (where 'r' is an optional "inner"
-     radius) are used to build a custom marker frame.  Here
-     'markuniform(bool centered=false, int n, bool rotated=false)' adds
-     this frame at 'n' uniformly spaced points along the arclength of
-     the path, optionally rotated by the angle of the local tangent to
-     the path (if centered is true, the frames will be centered within
-     'n' evenly spaced arclength intervals).  Alternatively, one can use
-     markroutine 'marknodes' to request that the marks be placed at each
-     Bezier node of the path, or markroutine 'markuniform(pair z(real
-     t), real a, real b, int n)' to place marks at points 'z(t)' for n
-     evenly spaced values of 't' in '[a,b]'.
-
-     These markers are predefined:
-     marker[] Mark={
-       marker(scale(circlescale)*unitcircle),
-       marker(polygon(3)),marker(polygon(4)),
-       marker(polygon(5)),marker(invert*polygon(3)),
-       marker(cross(4)),marker(cross(6))
-     };
-     
-     marker[] MarkFill={
-       marker(scale(circlescale)*unitcircle,Fill),marker(polygon(3),Fill),
-       marker(polygon(4),Fill),marker(polygon(5),Fill),
-       marker(invert*polygon(3),Fill)
-     };
-
-     The example also illustrates the 'errorbar' routines:
-
-     void errorbars(picture pic=currentpicture, pair[] z, pair[] dp,
-                    pair[] dm={}, bool[] cond={}, pen p=currentpen,
-                    real size=0);
-     
-     void errorbars(picture pic=currentpicture, real[] x, real[] y,
-                    real[] dpx, real[] dpy, real[] dmx={}, real[] dmy={},
-                    bool[] cond={}, pen p=currentpen, real size=0);
-
-     Here, the positive and negative extents of the error are given by
-     the absolute values of the elements of the pair array 'dp' and the
-     optional pair array 'dm'.  If 'dm' is not specified, the positive
-     and negative extents of the error are assumed to be equal.
-     import graph;
-     
-     picture pic;
-     real xsize=200, ysize=140;
-     size(pic,xsize,ysize,IgnoreAspect);
-     
-     pair[] f={(5,5),(50,20),(90,90)};
-     pair[] df={(0,0),(5,7),(0,5)};
-     
-     errorbars(pic,f,df,red);
-     draw(pic,graph(pic,f),"legend",
-          marker(scale(0.8mm)*unitcircle,red,FillDraw(blue),above=false));
-     
-     scale(pic,true);
-     
-     xaxis(pic,"$x$",BottomTop,LeftTicks);
-     yaxis(pic,"$y$",LeftRight,RightTicks);
-     add(pic,legend(pic),point(pic,NW),20SE,UnFill);
-     
-     picture pic2;
-     size(pic2,xsize,ysize,IgnoreAspect);
-     
-     frame mark;
-     filldraw(mark,scale(0.8mm)*polygon(6),green,green);
-     draw(mark,scale(0.8mm)*cross(6),blue);
-     
-     draw(pic2,graph(pic2,f),marker(mark,markuniform(5)));
-     
-     scale(pic2,true);
-     
-     xaxis(pic2,"$x$",BottomTop,LeftTicks);
-     yaxis(pic2,"$y$",LeftRight,RightTicks);
-     
-     yequals(pic2,55.0,red+Dotted);
-     xequals(pic2,70.0,red+Dotted);
-     
-     // Fit pic to W of origin:
-     add(pic.fit(),(0,0),W);
-     
-     // Fit pic2 to E of (5mm,0):
-     add(pic2.fit(),(5mm,0),E);
-     
-
-                              [errorbars]
-
-  6. A custom mark routine can be also be specified:
-     import graph;
-     
-     size(200,100,IgnoreAspect);
-     
-     markroutine marks() {
-       return new void(picture pic=currentpicture, frame f, path g) {
-         path p=scale(1mm)*unitcircle;
-         for(int i=0; i <= length(g); ++i) {
-           pair z=point(g,i);
-           frame f;
-           if(i % 4 == 0) {
-             fill(f,p);
-             add(pic,f,z);
-           } else {
-             if(z.y > 50) {
-               pic.add(new void(frame F, transform t) {
-                   path q=shift(t*z)*p;
-                   unfill(F,q);
-                   draw(F,q);
-                 });
-             } else {
-               draw(f,p);
-               add(pic,f,z);
-             }
-           }
-         }
-       };
-     }
-     
-     pair[] f={(5,5),(40,20),(55,51),(90,30)};
-     
-     draw(graph(f),marker(marks()));
-     
-     scale(true);
-     
-     xaxis("$x$",BottomTop,LeftTicks);
-     yaxis("$y$",LeftRight,RightTicks);
-
-                            [graphmarkers]
-
-  7. This example shows how to label an axis with arbitrary strings.
-     import graph;
-     
-     size(400,150,IgnoreAspect);
-     
-     real[] x=sequence(12);
-     real[] y=sin(2pi*x/12);
-     
-     scale(false);
-     
-     string[] month={"Jan","Feb","Mar","Apr","May","Jun",
-                     "Jul","Aug","Sep","Oct","Nov","Dec"};
-     
-     draw(graph(x,y),red,MarkFill[0]);
-     
-     xaxis(BottomTop,LeftTicks(new string(real x) {
-           return month[round(x % 12)];}));
-     yaxis("$y$",LeftRight,RightTicks(4));
-
-                              [monthaxis]
-
-  8. The next example draws a graph of a parametrized curve.  The calls
-     to
-     xlimits(picture pic=currentpicture, real min=-infinity,
-             real max=infinity, bool crop=NoCrop);
-     and the analogous function 'ylimits' can be uncommented to set the
-     respective axes limits for picture 'pic' to the specified 'min' and
-     'max' values.  Alternatively, the function
-     void limits(picture pic=currentpicture, pair min, pair max, bool crop=NoCrop);
-     can be used to limit the axes to the box having opposite vertices
-     at the given pairs).  Existing objects in picture 'pic' will be
-     cropped to lie within the given limits if 'crop'='Crop'.  The
-     function 'crop(picture pic)' can be used to crop a graph to the
-     current graph limits.
-     import graph;
-     
-     size(0,200);
-     
-     real x(real t) {return cos(2pi*t);}
-     real y(real t) {return sin(2pi*t);}
-     
-     draw(graph(x,y,0,1));
-     
-     //limits((0,-1),(1,0),Crop);
-     
-     xaxis("$x$",BottomTop,LeftTicks);
-     yaxis("$y$",LeftRight,RightTicks(trailingzero));
-     
-     
-
-                           [parametricgraph]
-
-     The next example illustrates how one can extract a common axis
-     scaling factor.
-     import graph;
-     
-     axiscoverage=0.9;
-     size(200,IgnoreAspect);
-     
-     real[] x={-1e-11,1e-11};
-     real[] y={0,1e6};
-     
-     real xscale=round(log10(max(x)));
-     real yscale=round(log10(max(y)))-1;
-     
-     draw(graph(x*10^(-xscale),y*10^(-yscale)),red);
-     
-     xaxis("$x/10^{"+(string) xscale+"}$",BottomTop,LeftTicks);
-     yaxis("$y/10^{"+(string) yscale+"}$",LeftRight,RightTicks(trailingzero));
-
-                             [scaledgraph]
-
-     Axis scaling can be requested and/or automatic selection of the
-     axis limits can be inhibited with one of these 'scale' routines:
-     void scale(picture pic=currentpicture, scaleT x, scaleT y);
-     
-     void scale(picture pic=currentpicture, bool xautoscale=true,
-                bool yautoscale=xautoscale, bool zautoscale=yautoscale);
-
-     This sets the scalings for picture 'pic'.  The 'graph' routines
-     accept an optional 'picture' argument for determining the
-     appropriate scalings to use; if none is given, it uses those set
-     for 'currentpicture'.
-
-     Two frequently used scaling routines 'Linear' and 'Log' are
-     predefined in 'graph'.
-
-     All picture coordinates (including those in paths and those given
-     to the 'label' and 'limits' functions) are always treated as linear
-     (post-scaled) coordinates.  Use
-     pair Scale(picture pic=currentpicture, pair z);
-     to convert a graph coordinate into a scaled picture coordinate.
-
-     The x and y components can be individually scaled using the
-     analogous routines
-     real ScaleX(picture pic=currentpicture, real x);
-     real ScaleY(picture pic=currentpicture, real y);
-
-     The predefined scaling routines can be given two optional boolean
-     arguments: 'automin=false' and 'automax=automin'.  These default to
-     'false' but can be respectively set to 'true' to enable automatic
-     selection of "nice" axis minimum and maximum values.  The 'Linear'
-     scaling can also take as optional final arguments a multiplicative
-     scaling factor and intercept (e.g. for a depth axis, 'Linear(-1)'
-     requests axis reversal).
-
-     For example, to draw a log/log graph of a function, use
-     'scale(Log,Log)':
-     import graph;
-     
-     size(200,200,IgnoreAspect);
-     
-     real f(real t) {return 1/t;}
-     
-     scale(Log,Log);
-     
-     draw(graph(f,0.1,10));
-     
-     //limits((1,0.1),(10,0.5),Crop);
-     
-     dot(Label("(3,5)",align=S),Scale((3,5)));
-     
-     xaxis("$x$",BottomTop,LeftTicks);
-     yaxis("$y$",LeftRight,RightTicks);
-     
-
-                              [loggraph]
-
-     By extending the ticks, one can easily produce a logarithmic grid:
-     import graph;
-     size(200,200,IgnoreAspect);
-     
-     real f(real t) {return 1/t;}
-     
-     scale(Log,Log);
-     draw(graph(f,0.1,10),red);
-     pen thin=linewidth(0.5*linewidth());
-     xaxis("$x$",BottomTop,LeftTicks(begin=false,end=false,extend=true,
-                                     ptick=thin));
-     yaxis("$y$",LeftRight,RightTicks(begin=false,end=false,extend=true,
-                                      ptick=thin));
-     
-
-
-                               [loggrid]
-
-     One can also specify custom tick locations and formats for
-     logarithmic axes:
-     import graph;
-     
-     size(300,175,IgnoreAspect);
-     scale(Log,Log);
-     draw(graph(identity,5,20));
-     xlimits(5,20);
-     ylimits(1,100);
-     xaxis("$M/M_\odot$",BottomTop,LeftTicks(DefaultFormat,
-                                             new real[] {6,10,12,14,16,18}));
-     yaxis("$\nu_{\rm upp}$ [Hz]",LeftRight,RightTicks(DefaultFormat));
-     
-
-                              [logticks]
-
-     It is easy to draw logarithmic graphs with respect to other bases:
-     import graph;
-     size(200,IgnoreAspect);
-     
-     // Base-2 logarithmic scale on y-axis:
-     
-     real log2(real x) {static real log2=log(2); return log(x)/log2;}
-     real pow2(real x) {return 2^x;}
-     
-     scaleT yscale=scaleT(log2,pow2,logarithmic=true);
-     scale(Linear,yscale);
-     
-     real f(real x) {return 1+x^2;}
-     
-     draw(graph(f,-4,4));
-     
-     yaxis("$y$",ymin=1,ymax=f(5),RightTicks(Label(Fill(white))),EndArrow);
-     xaxis("$x$",xmin=-5,xmax=5,LeftTicks,EndArrow);
-
-                              [log2graph]
-
-     Here is an example of "broken" linear x and logarithmic y axes that
-     omit the segments [3,8] and [100,1000], respectively.  In the case
-     of a logarithmic axis, the break endpoints are automatically
-     rounded to the nearest integral power of the base.
-     import graph;
-     
-     size(200,150,IgnoreAspect);
-     
-     // Break the x axis at 3; restart at 8:
-     real a=3, b=8;
-     
-     // Break the y axis at 100; restart at 1000:
-     real c=100, d=1000;
-     
-     scale(Broken(a,b),BrokenLog(c,d));
-     
-     real[] x={1,2,4,6,10};
-     real[] y=x^4;
-     
-     draw(graph(x,y),red,MarkFill[0]);
-     
-     xaxis("$x$",BottomTop,LeftTicks(Break(a,b)));
-     yaxis("$y$",LeftRight,RightTicks(Break(c,d)));
-     
-     label(rotate(90)*Break,(a,point(S).y));
-     label(rotate(90)*Break,(a,point(N).y));
-     label(Break,(point(W).x,ScaleY(c)));
-     label(Break,(point(E).x,ScaleY(c)));
-     
-
-                             [brokenaxis]
-
-  9. 'Asymptote' can draw secondary axes with the routines
-     picture secondaryX(picture primary=currentpicture, void f(picture));
-     picture secondaryY(picture primary=currentpicture, void f(picture));
-
-     In this example, 'secondaryY' is used to draw a secondary linear y
-     axis against a primary logarithmic y axis:
-     import graph;
-     texpreamble("\def\Arg{\mathop {\rm Arg}\nolimits}");
-     
-     size(10cm,5cm,IgnoreAspect);
-     
-     real ampl(real x) {return 2.5/sqrt(1+x^2);}
-     real phas(real x) {return -atan(x)/pi;}
-     
-     scale(Log,Log);
-     draw(graph(ampl,0.01,10));
-     ylimits(0.001,100);
-     
-     xaxis("$\omega\tau_0$",BottomTop,LeftTicks);
-     yaxis("$|G(\omega\tau_0)|$",Left,RightTicks);
-     
-     picture q=secondaryY(new void(picture pic) {
-         scale(pic,Log,Linear);
-         draw(pic,graph(pic,phas,0.01,10),red);
-         ylimits(pic,-1.0,1.5);
-         yaxis(pic,"$\Arg G/\pi$",Right,red,
-               LeftTicks("$% #.1f$",
-                         begin=false,end=false));
-         yequals(pic,1,Dotted);
-       });
-     label(q,"(1,0)",Scale(q,(1,0)),red);
-     add(q);
-     
-
-                                [Bode]
-
-     A secondary logarithmic y axis can be drawn like this:
-     import graph;
-     
-     size(9cm,6cm,IgnoreAspect);
-     string data="secondaryaxis.csv";
-     
-     file in=input(data).line().csv();
-     
-     string[] titlelabel=in;
-     string[] columnlabel=in;
-     
-     real[][] a=in;
-     a=transpose(a);
-     real[] t=a[0], susceptible=a[1], infectious=a[2], dead=a[3], larvae=a[4];
-     real[] susceptibleM=a[5], exposed=a[6],infectiousM=a[7];
-     
-     scale(true);
-     
-     draw(graph(t,susceptible,t >= 10 & t <= 15));
-     draw(graph(t,dead,t >= 10 & t <= 15),dashed);
-     
-     xaxis("Time ($\tau$)",BottomTop,LeftTicks);
-     yaxis(Left,RightTicks);
-     
-     picture secondary=secondaryY(new void(picture pic) {
-         scale(pic,Linear(true),Log(true));
-         draw(pic,graph(pic,t,infectious,t >= 10 & t <= 15),red);
-         yaxis(pic,Right,red,LeftTicks(begin=false,end=false));
-       });
-                                  
-     add(secondary);
-     label(shift(5mm*N)*"Proportion of crows",point(NW),E);
-     
-
-                            [secondaryaxis]
-
-  10. Here is a histogram example, which uses the 'stats' module.
-     import graph;
-     import stats;
-     
-     size(400,200,IgnoreAspect);
-     
-     int n=10000;
-     real[] a=new real[n];
-     for(int i=0; i < n; ++i) a[i]=Gaussrand();
-     
-     draw(graph(Gaussian,min(a),max(a)),blue);
-     
-     // Optionally calculate "optimal" number of bins a la Shimazaki and Shinomoto.
-     int N=bins(a);
-     
-     histogram(a,min(a),max(a),N,normalize=true,low=0,lightred,black,bars=false);
-     
-     xaxis("$x$",BottomTop,LeftTicks);
-     yaxis("$dP/dx$",LeftRight,RightTicks(trailingzero));
-     
-
-                              [histogram]
-
-  11. Here is an example of reading column data in from a file and a
-     least-squares fit, using the 'stats' module.
-     size(400,200,IgnoreAspect);
-     
-     import graph;
-     import stats;
-     
-     file fin=input("leastsquares.dat").line();
-     
-     real[][] a=fin;
-     a=transpose(a);
-     
-     real[] t=a[0], rho=a[1];
-     
-     // Read in parameters from the keyboard:
-     //real first=getreal("first");
-     //real step=getreal("step");
-     //real last=getreal("last");
-     
-     real first=100;
-     real step=50;
-     real last=700;
-     
-     // Remove negative or zero values of rho:
-     t=rho > 0 ? t : null;
-     rho=rho > 0 ? rho : null;
-         
-     scale(Log(true),Linear(true));
-     
-     int n=step > 0 ? ceil((last-first)/step) : 0;
-     
-     real[] T,xi,dxi;
-     
-     for(int i=0; i <= n; ++i) {
-       real first=first+i*step;
-       real[] logrho=(t >= first & t <= last) ? log(rho) : null;
-       real[] logt=(t >= first & t <= last) ? -log(t) : null;
-       
-       if(logt.length < 2) break;
-       
-       // Fit to the line logt=L.m*logrho+L.b:
-       linefit L=leastsquares(logt,logrho);
-         
-       T.push(first);
-       xi.push(L.m);
-       dxi.push(L.dm);
-     } 
-         
-     draw(graph(T,xi),blue);
-     errorbars(T,xi,dxi,red);
-     
-     crop();
-     
-     ylimits(0);
-     
-     xaxis("$T$",BottomTop,LeftTicks);
-     yaxis("$\xi$",LeftRight,RightTicks);
-
-                            [leastsquares]
-
-  12. Here is an example that illustrates the general 'axis' routine.
-     import graph;
-     size(0,100);
-     
-     path g=ellipse((0,0),1,2);
-     
-     scale(true);
-     
-     axis(Label("C",align=10W),g,LeftTicks(endlabel=false,8,end=false),
-          ticklocate(0,360,new real(real v) {
-              path h=(0,0)--max(abs(max(g)),abs(min(g)))*dir(v);
-              return intersect(g,h)[0];}));
-
-                             [generalaxis]
-
-  13. To draw a vector field of 'n' arrows evenly spaced along the
-     arclength of a path, use the routine
-     picture vectorfield(path vector(real), path g, int n, bool truesize=false,
-                         pen p=currentpen, arrowbar arrow=Arrow);
-     as illustrated in this simple example of a flow field:
-     import graph;
-     defaultpen(1.0);
-     
-     size(0,150,IgnoreAspect);
-     
-     real arrowsize=4mm;
-     real arrowlength=2arrowsize;
-     
-     typedef path vector(real);
-     
-     // Return a vector interpolated linearly between a and b.
-     vector vector(pair a, pair b) {
-       return new path(real x) {
-         return (0,0)--arrowlength*interp(a,b,x);
-       };
-     }
-     
-     real f(real x) {return 1/x;}
-     
-     real epsilon=0.5;
-     path g=graph(f,epsilon,1/epsilon);
-     
-     int n=3;
-     draw(g);
-     xaxis("$x$");
-     yaxis("$y$");
-     
-     add(vectorfield(vector(W,W),g,n,true));
-     add(vectorfield(vector(NE,NW),(0,0)--(point(E).x,0),n,true));
-     add(vectorfield(vector(NE,NE),(0,0)--(0,point(N).y),n,true));
-     
-
-                                [flow]
-
-  14. To draw a vector field of 'nx'\times'ny' arrows in 'box(a,b)', use
-     the routine
-     picture vectorfield(path vector(pair), pair a, pair b,
-                         int nx=nmesh, int ny=nx, bool truesize=false,
-                         real maxlength=truesize ? 0 : maxlength(a,b,nx,ny),
-                         bool cond(pair z)=null, pen p=currentpen,
-                         arrowbar arrow=Arrow, margin margin=PenMargin)
-     as illustrated in this example:
-     import graph;
-     size(100);
-     
-     pair a=(0,0);
-     pair b=(2pi,2pi);
-     
-     path vector(pair z) {return (0,0)--(sin(z.x),cos(z.y));}
-     
-     add(vectorfield(vector,a,b));
-
-                             [vectorfield]
-
-  15. The following scientific graphs, which illustrate many features of
-     'Asymptote''s graphics routines, were generated from the examples
-     'diatom.asy' and 'westnile.asy', using the comma-separated data in
-     'diatom.csv' and 'westnile.csv'.
-
-
-                               [diatom]
-
-                              [westnile]
-
-
-File: asymptote.info,  Node: palette,  Next: three,  Prev: graph,  Up: Base modules
-
-8.28 'palette'
-==============
-
-'Asymptote' can also generate color density images and palettes.  The
-following palettes are predefined in 'palette.asy':
-
-'pen[] Grayscale(int NColors=256)'
-     a grayscale palette;
-
-'pen[] Rainbow(int NColors=32766)'
-     a rainbow spectrum;
-
-'pen[] BWRainbow(int NColors=32761)'
-     a rainbow spectrum tapering off to black/white at the ends;
-
-'pen[] BWRainbow2(int NColors=32761)'
-     a double rainbow palette tapering off to black/white at the ends,
-     with a linearly scaled intensity.
-
-'pen[] Wheel(int NColors=32766)'
-     a full color wheel palette;
-
-'pen[] Gradient(int NColors=256 ... pen[] p)'
-     a palette varying linearly over the specified array of pens, using
-     NColors in each interpolation interval;
-
-   The function 'cmyk(pen[] Palette)' may be used to convert any of
-these palettes to the CMYK colorspace.
-
-   A color density plot using palette 'palette' can be generated from a
-function 'f'(x,y) and added to a picture 'pic':
-bounds image(picture pic=currentpicture, real f(real, real),
-             range range=Full, pair initial, pair final,
-             int nx=ngraph, int ny=nx, pen[] palette, bool antialias=false)
-   The function 'f' will be sampled at 'nx' and 'ny' evenly spaced
-points over a rectangle defined by the points 'initial' and 'final',
-respecting the current graphical scaling of 'pic'.  The color space is
-scaled according to the z axis scaling (*note automatic scaling::).  A
-bounds structure for the function values is returned:
-struct bounds {
-  real min;
-  real max;
-  // Possible tick intervals:
-  int[] divisor;
-}
-This information can be used for generating an optional palette bar.
-The palette color space corresponds to a range of values specified by
-the argument 'range', which can be 'Full', 'Automatic', or an explicit
-range 'Range(real min, real max)'.  Here 'Full' specifies a range
-varying from the minimum to maximum values of the function over the
-sampling interval, while 'Automatic' selects "nice" limits.  The example
-'imagecontour.asy' illustrates how level sets (contour lines) can be
-drawn on a color density plot (*note contour::).
-
-   A color density plot can also be generated from an explicit real[][]
-array 'data':
-bounds image(picture pic=currentpicture, real[][] f, range range=Full,
-             pair initial, pair final, pen[] palette,
-             bool transpose=(initial.x < final.x && initial.y < final.y),
-             bool copy=true, bool antialias=false);
-If the initial point is to the left and below the final point, by
-default the array indices are interpreted according to the Cartesian
-convention (first index: x, second index: y) rather than the usual
-matrix convention (first index: -y, second index: x).
-
-   To construct an image from an array of irregularly spaced points and
-an array of values 'f' at these points, use one of the routines
-bounds image(picture pic=currentpicture, pair[] z, real[] f,
-             range range=Full, pen[] palette)
-bounds image(picture pic=currentpicture, real[] x, real[] y, real[] f,
-             range range=Full, pen[] palette)
-
-   An optionally labelled palette bar may be generated with the routine
-void palette(picture pic=currentpicture, Label L="", bounds bounds,
-             pair initial, pair final, axis axis=Right, pen[] palette,
-             pen p=currentpen, paletteticks ticks=PaletteTicks,
-             bool copy=true, bool antialias=false);
-   The color space of 'palette' is taken to be over bounds 'bounds' with
-scaling given by the z scaling of 'pic'.  The palette orientation is
-specified by 'axis', which may be one of 'Right', 'Left', 'Top', or
-'Bottom'.  The bar is drawn over the rectangle from 'initial' to
-'final'.  The argument 'paletteticks' is a special tick type (*note
-ticks::) that takes the following arguments:
-paletteticks PaletteTicks(Label format="", ticklabel ticklabel=null,
-                          bool beginlabel=true, bool endlabel=true,
-                          int N=0, int n=0, real Step=0, real step=0,
-                          pen pTick=nullpen, pen ptick=nullpen);
-
-   The image and palette bar can be fit to a frame and added and
-optionally aligned to a picture at the desired location:
-
-size(12cm,12cm);
-
-import graph;
-import palette;
-
-int n=256;
-real ninv=2pi/n;
-real[][] v=new real[n][n];
-
-for(int i=0; i < n; ++i)
-  for(int j=0; j < n; ++j)
-    v[i][j]=sin(i*ninv)*cos(j*ninv);
-
-pen[] Palette=BWRainbow();
-
-picture bar;
-
-bounds range=image(v,(0,0),(1,1),Palette);
-palette(bar,"$A$",range,(0,0),(0.5cm,8cm),Right,Palette,
-        PaletteTicks("$%+#.1f$"));
-add(bar.fit(),point(E),30E);
-
-                                [image]
-
-   Here is an example that uses logarithmic scaling of the function
-values:
-
-import graph;
-import palette;
-
-size(10cm,10cm,IgnoreAspect);
-
-real f(real x, real y) {
-  return 0.9*pow10(2*sin(x/5+2*y^0.25)) + 0.1*(1+cos(10*log(y)));
-}
-
-scale(Linear,Log,Log);
-
-pen[] Palette=BWRainbow();
-
-bounds range=image(f,Automatic,(0,1),(100,100),nx=200,Palette);
-
-xaxis("$x$",BottomTop,LeftTicks,above=true);
-yaxis("$y$",LeftRight,RightTicks,above=true);
-
-palette("$f(x,y)$",range,(0,200),(100,250),Top,Palette,
-        PaletteTicks(ptick=linewidth(0.5*linewidth())));
-
-
-
-                              [logimage]
-
-   One can also draw an image directly from a two-dimensional pen array
-or a function 'pen f(int, int)':
-void image(picture pic=currentpicture, pen[][] data,
-           pair initial, pair final,
-           bool transpose=(initial.x < final.x && initial.y < final.y),
-           bool copy=true, bool antialias=false);
-void image(picture pic=currentpicture, pen f(int, int), int width, int height,
-           pair initial, pair final,
-           bool transpose=(initial.x < final.x && initial.y < final.y),
-           bool antialias=false);
-as illustrated in the following examples:
-
-size(200);
-
-import palette;
-
-int n=256;
-real ninv=2pi/n;
-pen[][] v=new pen[n][n];
-
-for(int i=0; i < n; ++i)
-  for(int j=0; j < n; ++j)
-    v[i][j]=rgb(0.5*(1+sin(i*ninv)),0.5*(1+cos(j*ninv)),0);
-
-image(v,(0,0),(1,1));
-
-
-                              [penimage]
-
-import palette;
-
-size(200);
-
-real fracpart(real x) {return (x-floor(x));}
-
-pair pws(pair z) {
-  pair w=(z+exp(pi*I/5)/0.9)/(1+z/0.9*exp(-pi*I/5));
-  return exp(w)*(w^3-0.5*I);
-}
-
-int N=512;
-
-pair a=(-1,-1);
-pair b=(0.5,0.5);
-real dx=(b-a).x/N;
-real dy=(b-a).y/N;
-
-pen f(int u, int v) {
-  pair z=a+(u*dx,v*dy);
-  pair w=pws(z);
-  real phase=degrees(w,warn=false);
-  real modulus=w == 0 ? 0: fracpart(log(abs(w)));
-  return hsv(phase,1,sqrt(modulus));
-}
-
-image(f,N,N,(0,0),(300,300),antialias=true);
-
-                          [penfunctionimage]
-
-   For convenience, the module 'palette' also defines functions that may
-be used to construct a pen array from a given function and palette:
-pen[] palette(real[] f, pen[] palette);
-pen[][] palette(real[][] f, pen[] palette);
-
-
-File: asymptote.info,  Node: three,  Next: obj,  Prev: palette,  Up: Base modules
-
-8.29 'three'
-============
-
-This module fully extends the notion of guides and paths in 'Asymptote'
-to three dimensions.  It introduces the new types guide3, path3, and
-surface.  Guides in three dimensions are specified with the same syntax
-as in two dimensions except that triples '(x,y,z)' are used in place of
-pairs '(x,y)' for the nodes and direction specifiers.  This
-generalization of John Hobby's spline algorithm is shape-invariant under
-three-dimensional rotation, scaling, and shifting, and reduces in the
-planar case to the two-dimensional algorithm used in 'Asymptote',
-'MetaPost', and 'MetaFont' [cf. J. C. Bowman, Proceedings in Applied
-Mathematics and Mechanics, 7:1, 2010021-2010022 (2007)].
-
-   For example, a unit circle in the XY plane may be filled and drawn
-like this:
-import three;
-
-size(100);
-
-path3 g=(1,0,0)..(0,1,0)..(-1,0,0)..(0,-1,0)..cycle;
-draw(g);
-draw(O--Z,red+dashed,Arrow3);
-draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle));
-dot(g,red);
-
-                             [unitcircle3]
-and then distorted into a saddle:
-import three;
-
-size(100,0);
-path3 g=(1,0,0)..(0,1,1)..(-1,0,0)..(0,-1,1)..cycle;
-draw(g);
-draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle));
-dot(g,red);
-
-                               [saddle]
-
-   Module 'three' provides constructors for converting two-dimensional
-paths to three-dimensional ones, and vice-versa:
-path3 path3(path p, triple plane(pair)=XYplane);
-path path(path3 p, pair P(triple)=xypart);
-
-   A Bezier surface, the natural two-dimensional generalization of
-Bezier curves, is defined in 'three_surface.asy' as a structure
-containing an array of Bezier patches.  Surfaces may drawn with one of
-the routines
-void draw(picture pic=currentpicture, surface s, int nu=1, int nv=1,
-          material surfacepen=currentpen, pen meshpen=nullpen,
-          light light=currentlight, light meshlight=nolight, string name="",
-          render render=defaultrender);
-void draw(picture pic=currentpicture, surface s, int nu=1, int nv=1,
-          material[] surfacepen, pen meshpen,
-          light light=currentlight, light meshlight=nolight, string name="",
-          render render=defaultrender);
-void draw(picture pic=currentpicture, surface s, int nu=1, int nv=1,
-          material[] surfacepen, pen[] meshpen=nullpens,
-          light light=currentlight, light meshlight=nolight, string name="",
-          render render=defaultrender);
-
-   The parameters 'nu' and 'nv' specify the number of subdivisions for
-drawing optional mesh lines for each Bezier patch.  The optional 'name'
-parameter is used as a prefix for naming the surface patches in the PRC
-model tree.  Here material is a structure defined in 'three_light.asy':
-struct material {
-  pen[] p; // diffusepen,ambientpen,emissivepen,specularpen
-  real opacity;
-  real shininess;  
-...
-}
-These material properties are used to implement 'OpenGL'-style lighting,
-based on the Phong-Blinn specular model.  Sample Bezier surfaces are
-contained in the example files 'BezierSurface.asy', 'teapot.asy', and
-'parametricsurface.asy'.  The structure 'render' contains specialized
-rendering options documented at the beginning of module 'three.asy'.
-
-   The examples 'elevation.asy' and 'sphericalharmonic.asy' illustrate
-how to draw a surface with patch-dependent colors.  The examples
-'vertexshading.asy' and 'smoothelevation.asy' illustrate
-vertex-dependent colors, which is supported for both 'Asymptote''s
-native 'OpenGL' renderer and two-dimensional projections.  Since the PRC
-output format does not currently support vertex shading of Bezier
-surfaces, PRC patches are shaded with the mean of the four vertex
-colors.
-
-   A surface can be constructed from a cyclic 'path3' with the
-constructor
-surface surface(path3 external, triple[] internal=new triple[],
-                pen[] colors=new pen[], bool3 planar=default);
-and then filled:
-draw(surface(unitsquare3,new triple[] {X,Y,Z,O}),red);
-draw(surface(O--X{Y}..Y{-X}--cycle,new triple[] {Z}),red);
-draw(surface(path3(polygon(5))),red,nolight);
-draw(surface(unitcircle3),red,nolight);
-draw(surface(unitcircle3,new pen[] {red,green,blue,black}),nolight);
-The first example draws a Bezier patch and the second example draws a
-Bezier triangle.  The third and fourth examples are planar surfaces.
-The last example constructs a patch with vertex-specific colors.  A
-three-dimensional planar surface in the plane 'plane' can be constructed
-from a two-dimensional cyclic path 'g' with the constructor
-surface surface(path p, triple plane(pair)=XYplane);
-and then filled:
-draw(surface((0,0)--E+2N--2E--E+N..0.2E..cycle),red);
-Planar Bezier surfaces patches are constructed using Orest Shardt's
-'bezulate' routine, which decomposes (possibly nonsimply connected)
-regions bounded (according to the 'zerowinding' fill rule) by simple
-cyclic paths (intersecting only at the endpoints) into subregions
-bounded by cyclic paths of length '4' or less.
-
-   A more efficient routine also exists for drawing tessellations
-composed of many 3D triangles, with specified vertices, and optional
-normals or vertex colors:
-void draw(picture pic=currentpicture, triple[] v, int[][] vi,
-          triple[] n={}, int[][] ni={}, material m=currentpen, pen[] p={},
-          int[][] pi={}, light light=currentlight);
-   Here, the triple array 'v' lists the distinct vertices, while the
-array 'vi' lists integer arrays of length 3 containing the indices of
-'v' corresponding to the vertices of each triangle.  Similarly, the
-arguments 'n' and 'ni' contain optional normal data and 'p' and 'pi'
-contain optional pen vertex data.  An example of this tessellation
-facility is given in 'triangles.asy'.
-
-   Arbitrary thick three-dimensional curves and line caps (which the
-'OpenGL' standard does not require implementations to provide) are
-constructed with
-tube tube(path3 p, real width, render render=defaultrender);
-this returns a tube structure representing a tube of diameter 'width'
-centered approximately on 'g'.  The tube structure consists of a surface
-'s' and the actual tube center, path3 'center'.  Drawing thick lines as
-tubes can be slow to render, especially with the 'Adobe Reader'
-renderer.  The setting 'thick=false' can be used to disable this feature
-and force all lines to be drawn with 'linewidth(0)' (one pixel wide,
-regardless of the resolution).  By default, mesh and contour lines in
-three-dimensions are always drawn thin, unless an explicit line width is
-given in the pen parameter or the setting 'thin' is set to 'false'.  The
-pens 'thin()' and 'thick()' defined in 'plain_pens.asy' can also be used
-to override these defaults for specific draw commands.
-
-There are four choices for viewing 3D 'Asymptote' output:
-  1. Use the native 'Asymptote' adaptive 'OpenGL'-based renderer (with
-     the command-line option '-V' and the default settings
-     'outformat=""' and 'render=-1').  If you encounter warnings from
-     your graphics card driver, try specifying '-glOptions=-indirect' on
-     the command line.  On 'UNIX' systems with graphics support for
-     multisampling, the sample width can be controlled with the setting
-     'multisample'.  An initial screen position can be specified with
-     the pair setting 'position', where negative values are interpreted
-     as relative to the corresponding maximum screen dimension.  The
-     default settings
-     import settings;
-     leftbutton=new string[] {"rotate","zoom","shift","pan"};
-     middlebutton=new string[] {"menu"};
-     rightbutton=new string[] {"zoom/menu","rotateX","rotateY","rotateZ"};
-     wheelup=new string[] {"zoomin"};
-     wheeldown=new string[] {"zoomout"};
-     bind the mouse buttons as follows:
-        * Left: rotate
-        * Shift Left: zoom
-        * Ctrl Left: shift viewport
-        * Alt Left: pan
-        * Middle: menu (must be unmodified; ignores Shift, Ctrl, and
-          Alt)
-        * Wheel Up: zoom in
-        * Wheel Down: zoom out
-        * Right: zoom/menu (must be unmodified)
-        * Right double click: menu
-        * Shift Right: rotate about the X axis
-        * Ctrl Right: rotate about the Y axis
-        * Alt Right: rotate about the Z axis
-
-     The keyboard shortcuts are:
-        * h: home
-        * f: toggle fitscreen
-        * x: spin about the X axis
-        * y: spin about the Y axis
-        * z: spin about the Z axis
-        * s: stop spinning
-        * m: rendering mode (solid/mesh/patch)
-        * e: export
-        * c: show camera parameters
-        * p: play animation
-        * r: reverse animation
-        * : step animation
-        * +: expand
-        * =: expand
-        * >: expand
-        * -: shrink
-        * _: shrink
-        * <: shrink
-        * q: exit
-        * Ctrl-q: exit
-
-  2. Render the scene to a specified rasterized format 'outformat' at
-     the resolution of 'n' pixels per 'bp', as specified by the setting
-     'render=n'.  A negative value of 'n' is interpreted as '|2n|' for
-     EPS and PDF formats and '|n|' for other formats.  The default value
-     of 'render' is -1.  By default, the scene is internally rendered at
-     twice the specified resolution; this can be disabled by setting
-     'antialias=1'.  High resolution rendering is done by tiling the
-     image.  If your graphics card allows it, the rendering can be made
-     more efficient by increasing the maximum tile size 'maxtile' to
-     your screen dimensions (indicated by 'maxtile=(0,0)'.  If your
-     video card generates unwanted black stripes in the output, try
-     setting the horizontal and vertical components of 'maxtiles' to
-     something less than your screen dimensions.  The tile size is also
-     limited by the setting 'maxviewport', which restricts the maximum
-     width and height of the viewport.  On 'UNIX' systems some graphics
-     drivers support batch mode ('-noV') rendering in an iconified
-     window; this can be enabled with the setting 'iconify=true'.  Some
-     (broken) 'UNIX' graphics drivers may require the command line
-     setting '-glOptions=-indirect', which requests (slower) indirect
-     rendering.
-
-  3. Embed the 3D PRC format in a PDF file and view the resulting PDF
-     file with version '9.0' or later of 'Adobe Reader'.  In addition to
-     the default 'settings.prc=true', this requires
-     'settings.outformat="pdf"', which can be specified by the command
-     line option '-f pdf', put in the 'Asymptote' configuration file
-     (*note configuration file::), or specified in the script before
-     'three.asy' (or 'graph3.asy') is imported.  The 'media9' LaTeX
-     package is also required (*note embed::).  The example 'pdb.asy'
-     illustrates how one can generate a list of predefined views (see
-     '100d.views').  A stationary preview image with a resolution of 'n'
-     pixels per 'bp' can be embedded with the setting 'render=n'; this
-     allows the file to be viewed with other 'PDF' viewers.
-     Alternatively, the file 'externalprc.tex' illustrates how the
-     resulting PRC and rendered image files can be extracted and
-     processed in a separate 'LaTeX' file.  However, see *note LaTeX
-     usage:: for an easier way to embed three-dimensional 'Asymptote'
-     pictures within 'LaTeX'.  For specialized applications where only
-     the raw PRC file is required, specify 'settings.outformat="prc"'.
-     The open-source PRC specification is available from
-     <http://livedocs.adobe.com/acrobat_sdk/9/Acrobat9_HTMLHelp/API_References/PRCReference/PRC_Format_Specification/>.
-
-  4. Project the scene to a two-dimensional vector (EPS or PDF) format
-     with 'render=0'.  Only limited hidden surface removal facilities
-     are currently available with this approach (*note PostScript3D::).
-
-   Automatic picture sizing in three dimensions is accomplished with
-double deferred drawing.  The maximal desired dimensions of the scene in
-each of the three dimensions can optionally be specified with the
-routine
-void size3(picture pic=currentpicture, real x, real y=x, real z=y,
-          bool keepAspect=pic.keepAspect);
-The resulting simplex linear programming problem is then solved to
-produce a 3D version of a frame (actually implemented as a 3D picture).
-The result is then fit with another application of deferred drawing to
-the viewport dimensions corresponding to the usual two-dimensional
-picture 'size' parameters.  The global pair 'viewportmargin' may be used
-to add horizontal and vertical margins to the viewport dimensions.
-Alternatively, a minimum 'viewportsize' may be specified.  A 3D picture
-'pic' can be explicitly fit to a 3D frame by calling
-frame pic.fit3(projection P=currentprojection);
-and then added to picture 'dest' about 'position' with
-void add(picture dest=currentpicture, frame src, triple position=(0,0,0));
-
-   For convenience, the 'three' module defines 'O=(0,0,0)', 'X=(1,0,0)',
-'Y=(0,1,0)', and 'Z=(0,0,1)', along with a unitcircle in the XY plane:
-path3 unitcircle3=X..Y..-X..-Y..cycle;
-
-   A general (approximate) circle can be drawn perpendicular to the
-direction 'normal' with the routine
-path3 circle(triple c, real r, triple normal=Z);
-
-   A circular arc centered at 'c' with radius 'r' from
-'c+r*dir(theta1,phi1)' to 'c+r*dir(theta2,phi2)', drawing
-counterclockwise relative to the normal vector
-'cross(dir(theta1,phi1),dir(theta2,phi2))' if 'theta2 > theta1' or if
-'theta2 == theta1' and 'phi2 >= phi1', can be constructed with
-path3 arc(triple c, real r, real theta1, real phi1, real theta2, real phi2,
-          triple normal=O);
-   The normal must be explicitly specified if 'c' and the endpoints are
-colinear.  If 'r' < 0, the complementary arc of radius '|r|' is
-constructed.  For convenience, an arc centered at 'c' from triple 'v1'
-to 'v2' (assuming '|v2-c|=|v1-c|') in the direction CCW
-(counter-clockwise) or CW (clockwise) may also be constructed with
-path3 arc(triple c, triple v1, triple v2, triple normal=O,
-          bool direction=CCW);
-When high accuracy is needed, the routines 'Circle' and 'Arc' defined in
-'graph3' may be used instead.  See *note GaussianSurface:: for an
-example of a three-dimensional circular arc.
-
-   The representation 'O--O+u--O+u+v--O+v--cycle' of the plane passing
-through point 'O' with normal 'cross(u,v)' is returned by
-path3 plane(triple u, triple v, triple O=O);
-   A three-dimensional box with opposite vertices at triples 'v1' and
-'v2' may be drawn with the function
-path3[] box(triple v1, triple v2);
-For example, a unit box is predefined as
-path3[] unitbox=box(O,(1,1,1));
-   'Asymptote' also provides optimized definitions for the
-three-dimensional paths 'unitsquare3' and 'unitcircle3', along with the
-surfaces 'unitdisk', 'unitplane', 'unitcube', 'unitcylinder',
-'unitcone', 'unitsolidcone', 'unitfrustum(real t1, real t2)',
-'unitsphere', and 'unithemisphere'.
-
-These projections to two dimensions are predefined:
-'oblique'
-'oblique(real angle)'
-     The point '(x,y,z)' is projected to '(x-0.5z,y-0.5z)'.  If an
-     optional real argument is given, the negative z axis is drawn at
-     this angle in degrees.  The projection 'obliqueZ' is a synonym for
-     'oblique'.
-
-'obliqueX'
-'obliqueX(real angle)'
-     The point '(x,y,z)' is projected to '(y-0.5x,z-0.5x)'.  If an
-     optional real argument is given, the negative x axis is drawn at
-     this angle in degrees.
-
-'obliqueY'
-'obliqueY(real angle)'
-     The point '(x,y,z)' is projected to '(x+0.5y,z+0.5y)'.  If an
-     optional real argument is given, the positive y axis is drawn at
-     this angle in degrees.
-
-'orthographic(triple camera, triple up=Z, triple target=O,
-             real zoom=1, pair viewportshift=0, bool showtarget=true,
-             bool center=false)'
-     This projects from three to two dimensions using the view as seen
-     at a point infinitely far away in the direction 'unit(camera)',
-     orienting the camera so that, if possible, the vector 'up' points
-     upwards.  Parallel lines are projected to parallel lines.  The
-     bounding volume is expanded to include 'target' if
-     'showtarget=true'.  If 'center=true', the target will be adjusted
-     to the center of the bounding volume.
-
-'orthographic(real x, real y, real z, triple up=Z, triple target=O,
-             real zoom=1, pair viewportshift=0, bool showtarget=true,
-             bool center=false)'
-     This is equivalent to
-     orthographic((x,y,z),up,target,zoom,viewportshift,showtarget,center)
-
-     The routine
-     triple camera(real alpha, real beta);
-     can be used to compute the camera position with the x axis below
-     the horizontal at angle 'alpha', the y axis below the horizontal at
-     angle 'beta', and the z axis up.
-
-'perspective(triple camera, triple up=Z, triple target=O,
-            real zoom=1, real angle=0, pair viewportshift=0,
-            bool showtarget=true, bool autoadjust=true,
-            bool center=autoadjust)'
-     This projects from three to two dimensions, taking account of
-     perspective, as seen from the location 'camera' looking at
-     'target', orienting the camera so that, if possible, the vector
-     'up' points upwards.  If 'render=0', projection of
-     three-dimensional cubic Bezier splines is implemented by
-     approximating a two-dimensional nonuniform rational B-spline
-     (NURBS) with a two-dimensional Bezier curve containing additional
-     nodes and control points.  If 'autoadjust=true', the camera will
-     automatically be adjusted to lie outside the bounding volume for
-     all possible interactive rotations about 'target'.  If
-     'center=true', the target will be adjusted to the center of the
-     bounding volume.
-
-'perspective(real x, real y, real z, triple up=Z, triple target=O,
-            real zoom=1, real angle=0, pair viewportshift=0,
-            bool showtarget=true, bool autoadjust=true,
-            bool center=autoadjust)'
-     This is equivalent to
-     perspective((x,y,z),up,target,zoom,angle,viewportshift,showtarget,
-                 autoadjust,center)
-
-The default projection, 'currentprojection', is initially set to
-'perspective(5,4,2)'.
-
-   We also define standard orthographic views used in technical drawing:
-projection LeftView=orthographic(-X,showtarget=true);
-projection RightView=orthographic(X,showtarget=true);
-projection FrontView=orthographic(-Y,showtarget=true);
-projection BackView=orthographic(Y,showtarget=true);
-projection BottomView=orthographic(-Z,showtarget=true);
-projection TopView=orthographic(Z,showtarget=true);
-The function
-void addViews(picture dest=currentpicture, picture src,
-              projection[][] views=SixViewsUS,
-              bool group=true, filltype filltype=NoFill);
-adds to picture 'dest' an array of views of picture 'src' using the
-layout projection[][] 'views'.  The default layout 'SixViewsUS' aligns
-the projection 'FrontView' below 'TopView' and above 'BottomView', to
-the right of 'LeftView' and left of 'RightView' and 'BackView'.  The
-predefined layouts are:
-projection[][] ThreeViewsUS={{TopView},
-                             {FrontView,RightView}};
-
-projection[][] SixViewsUS={{null,TopView},
-                           {LeftView,FrontView,RightView,BackView},
-                           {null,BottomView}};
-
-projection[][] ThreeViewsFR={{RightView,FrontView},
-                             {null,TopView}};
-
-projection[][] SixViewsFR={{null,BottomView},
-                           {RightView,FrontView,LeftView,BackView},
-                           {null,TopView}};
-
-projection[][] ThreeViews={{FrontView,TopView,RightView}};
-
-projection[][] SixViews={{FrontView,TopView,RightView},
-                         {BackView,BottomView,LeftView}};
-
-
-   A triple or path3 can be projected to a pair or path, with
-'project(triple, projection P=currentprojection)' or 'project(path3,
-projection P=currentprojection)'.
-
-   It is occasionally useful to be able to invert a projection, sending
-a pair 'z' onto the plane perpendicular to 'normal' and passing through
-'point':
-triple invert(pair z, triple normal, triple point,
-              projection P=currentprojection);
-A pair 'z' on the projection plane can be inverted to a triple with the
-routine
-triple invert(pair z, projection P=currentprojection);
-A pair direction 'dir' on the projection plane can be inverted to a
-triple direction relative to a point 'v' with the routine
-triple invert(pair dir, triple v, projection P=currentprojection).
-
-   Three-dimensional objects may be transformed with one of the
-following built-in transform3 types (the identity transformation is
-'identity4'):
-
-'shift(triple v)'
-     translates by the triple 'v';
-'xscale3(real x)'
-     scales by 'x' in the x direction;
-'yscale3(real y)'
-     scales by 'y' in the y direction;
-'zscale3(real z)'
-     scales by 'z' in the z direction;
-'scale3(real s)'
-     scales by 's' in the x, y, and z directions;
-'scale(real x, real y, real z)'
-     scales by 'x' in the x direction, by 'y' in the y direction, and by
-     'z' in the z direction;
-'rotate(real angle, triple v)'
-     rotates by 'angle' in degrees about an axis 'v' through the origin;
-'rotate(real angle, triple u, triple v)'
-     rotates by 'angle' in degrees about the axis 'u--v';
-'reflect(triple u, triple v, triple w)'
-     reflects about the plane through 'u', 'v', and 'w'.
-
-   When not multiplied on the left by a transform3, three-dimensional
-TeX Labels are drawn as Bezier surfaces directly on the projection
-plane:
-void label(picture pic=currentpicture, Label L, triple position,
-           align align=NoAlign, pen p=currentpen,
-           light light=nolight, string name="",
-           render render=defaultrender, interaction interaction=
-           settings.autobillboard ? Billboard : Embedded)
-The optional 'name' parameter is used as a prefix for naming the label
-patches in the PRC model tree.  The default interaction is 'Billboard',
-which means that labels are rotated interactively so that they always
-face the camera.  The interaction 'Embedded' means that the label
-interacts as a normal '3D' surface, as illustrated in the example
-'billboard.asy'.  Alternatively, a label can be transformed from the
-'XY' plane by an explicit transform3 or mapped to a specified
-two-dimensional plane with the predefined transform3 types 'XY', 'YZ',
-'ZX', 'YX', 'ZY', 'ZX'.  There are also modified versions of these
-transforms that take an optional argument 'projection
-P=currentprojection' that rotate and/or flip the label so that it is
-more readable from the initial viewpoint.
-
-   A transform3 that projects in the direction 'dir' onto the plane with
-normal 'n' through point 'O' is returned by
-transform3 planeproject(triple n, triple O=O, triple dir=n);
-One can use
-triple normal(path3 p);
-to find the unit normal vector to a planar three-dimensional path 'p'.
-As illustrated in the example 'planeproject.asy', a transform3 that
-projects in the direction 'dir' onto the plane defined by a planar path
-'p' is returned by
-transform3 planeproject(path3 p, triple dir=normal(p));
-
-   The functions
-surface extrude(path p, triple axis=Z);
-surface extrude(Label L, triple axis=Z);
-return the surface obtained by extruding path 'p' or Label 'L' along
-'axis'.
-
-   Three-dimensional versions of the path functions 'length', 'size',
-'point', 'dir', 'accel', 'radius', 'precontrol', 'postcontrol',
-'arclength', 'arctime', 'reverse', 'subpath', 'intersect',
-'intersections', 'intersectionpoint', 'intersectionpoints', 'min',
-'max', 'cyclic', and 'straight' are also defined.
-
-   The routine
-real[] intersect(path3 p, surface s, real fuzz=-1);
-returns a real array of length 3 containing the intersection times, if
-any, of a path 'p' with a surface 's'.  The routine
-real[][] intersections(path3 p, surface s, real fuzz=-1);
-returns all (unless there are infinitely many) intersection times of a
-path 'p' with a surface 's' as a sorted array of real arrays of length
-3, and
-triple[] intersectionpoints(path3 p, surface s, real fuzz=-1);
-returns the corresponding intersection points.  Here, the computations
-are performed to the absolute error specified by 'fuzz', or if 'fuzz <
-0', to machine precision.  The routine
-real orient(triple a, triple b, triple c, triple d);
-is a numerically robust computation of 'dot(cross(a-d,b-d),c-d)', which
-is the determinant
-|a.x a.y a.z 1|
-|b.x b.y b.z 1|
-|c.x c.y c.z 1|
-|d.x d.y d.z 1|
-
-   The routine
-real insphere(triple a, triple b, triple c, triple d, triple e);
-returns a positive (negative) value if 'e' lies inside (outside) the
-sphere passing through points 'a,b,c,d' oriented so that
-'dot(cross(a-d,b-d),c-d)' is positive, or zero if all five points are
-cospherical.  The value returned is the determinant
-|a.x a.y a.z a.x^2+a.y^2+a.z^2 1|
-|b.x b.y b.z b.x^2+b.y^2+b.z^2 1|
-|c.x c.y c.z c.x^2+c.y^2+c.z^2 1|
-|d.x d.y d.z d.x^2+d.y^2+d.z^2 1|
-|e.x e.y e.z e.x^2+e.y^2+e.z^2 1|
-
-   Here is an example showing all five guide3 connectors:
-import graph3;
-
-size(200);
-
-currentprojection=orthographic(500,-500,500);
-
-triple[] z=new triple[10];
-
-z[0]=(0,100,0); z[1]=(50,0,0); z[2]=(180,0,0);
-
-for(int n=3; n <= 9; ++n)
-  z[n]=z[n-3]+(200,0,0);
-
-path3 p=z[0]..z[1]---z[2]::{Y}z[3]
-&z[3]..z[4]--z[5]::{Y}z[6]
-&z[6]::z[7]---z[8]..{Y}z[9];
-
-draw(p,grey+linewidth(4mm),currentlight);
-
-xaxis3(Label(XY()*"$x$",align=-3Y),red,above=true);
-yaxis3(Label(XY()*"$y$",align=-3X),red,above=true);
-
-                                [join3]
-
-   Three-dimensional versions of bars or arrows can be drawn with one of
-the specifiers 'None', 'Blank', 'BeginBar3', 'EndBar3' (or equivalently
-'Bar3'), 'Bars3', 'BeginArrow3', 'MidArrow3', 'EndArrow3' (or
-equivalently 'Arrow3'), 'Arrows3', 'BeginArcArrow3', 'EndArcArrow3' (or
-equivalently 'ArcArrow3'), 'MidArcArrow3', and 'ArcArrows3'.
-Three-dimensional bars accept the optional arguments '(real size=0,
-triple dir=O)'.  If 'size=O', the default bar length is used; if
-'dir=O', the bar is drawn perpendicular to the path and the initial
-viewing direction.  The predefined three-dimensional arrowhead styles
-are 'DefaultHead3', 'HookHead3', 'TeXHead3'.  Versions of the
-two-dimensional arrowheads lifted to three-dimensional space and aligned
-according to the initial viewpoint (or an optionally specified 'normal'
-vector) are also defined: 'DefaultHead2(triple normal=O)',
-'HookHead2(triple normal=O)', 'TeXHead2(triple normal=O)'.  These are
-illustrated in the example 'arrows3.asy'.
-
-   Module 'three' also defines the three-dimensional margins
-'NoMargin3', 'BeginMargin3', 'EndMargin3', 'Margin3', 'Margins3',
-'BeginPenMargin2', 'EndPenMargin2', 'PenMargin2', 'PenMargins2',
-'BeginPenMargin3', 'EndPenMargin3', 'PenMargin3', 'PenMargins3',
-'BeginDotMargin3', 'EndDotMargin3', 'DotMargin3', 'DotMargins3',
-'Margin3', and 'TrueMargin3'.
-
-   The routine
-void pixel(picture pic=currentpicture, triple v, pen p=currentpen,
-           real width=1);
-can be used to draw on picture 'pic' a pixel of width 'width' at
-position 'v' using pen 'p'.
-
-   Further three-dimensional examples are provided in the files
-'near_earth.asy', 'conicurv.asy', and (in the 'animations' subdirectory)
-'cube.asy'.
-
-   Limited support for projected vector graphics (effectively
-three-dimensional nonrendered 'PostScript') is available with the
-setting 'render=0'.  This currently only works for piecewise planar
-surfaces, such as those produced by the parametric 'surface' routines in
-the 'graph3' module.  Surfaces produced by the 'solids' package will
-also be properly rendered if the parameter 'nslices' is sufficiently
-large.
-
-   In the module 'bsp', hidden surface removal of planar pictures is
-implemented using a binary space partition and picture clipping.  A
-planar path is first converted to a structure 'face' derived from
-'picture'.  A 'face' may be given to a two-dimensional drawing routine
-in place of any 'picture' argument.  An array of such faces may then be
-drawn, removing hidden surfaces:
-void add(picture pic=currentpicture, face[] faces,
-         projection P=currentprojection);
-   Labels may be projected to two dimensions, using projection 'P', onto
-the plane passing through point 'O' with normal 'cross(u,v)' by
-multiplying it on the left by the transform
-transform transform(triple u, triple v, triple O=O,
-                    projection P=currentprojection);
-
-   Here is an example that shows how a binary space partition may be
-used to draw a two-dimensional vector graphics projection of three
-orthogonal intersecting planes:
-size(6cm,0);
-import bsp;
-
-real u=2.5;
-real v=1;
-
-currentprojection=oblique;
-
-path3 y=plane((2u,0,0),(0,2v,0),(-u,-v,0));
-path3 l=rotate(90,Z)*rotate(90,Y)*y;
-path3 g=rotate(90,X)*rotate(90,Y)*y;
-
-face[] faces;
-filldraw(faces.push(y),project(y),yellow);
-filldraw(faces.push(l),project(l),lightgrey);
-filldraw(faces.push(g),project(g),green);
-
-add(faces);
-
-
-                               [planes]
-
-
-File: asymptote.info,  Node: obj,  Next: graph3,  Prev: three,  Up: Base modules
-
-8.30 'obj'
-==========
-
-This module allows one to construct surfaces from simple obj files, as
-illustrated in the example files 'galleon.asy' and 'triceratops.asy'.
-
-
-File: asymptote.info,  Node: graph3,  Next: grid3,  Prev: obj,  Up: Base modules
-
-8.31 'graph3'
-=============
-
-This module implements three-dimensional versions of the functions in
-'graph.asy'.  To draw an x axis in three dimensions, use the routine
-void xaxis3(picture pic=currentpicture, Label L="", axis axis=YZZero,
-            real xmin=-infinity, real xmax=infinity, pen p=currentpen,
-            ticks3 ticks=NoTicks3, arrowbar3 arrow=None, bool above=false);
-Analogous routines 'yaxis' and 'zaxis' can be used to draw y and z axes
-in three dimensions.  There is also a routine for drawing all three
-axis:
-void axes3(picture pic=currentpicture,
-           Label xlabel="", Label ylabel="", Label zlabel="", 
-           bool extend=false,
-           triple min=(-infinity,-infinity,-infinity),
-           triple max=(infinity,infinity,infinity),
-           pen p=currentpen, arrowbar3 arrow=None);
-
-The predefined three-dimensional axis types are
-axis YZEquals(real y, real z, triple align=O, bool extend=false);
-axis XZEquals(real x, real z, triple align=O, bool extend=false);
-axis XYEquals(real x, real y, triple align=O, bool extend=false);
-axis YZZero(triple align=O, bool extend=false);
-axis XZZero(triple align=O, bool extend=false);
-axis XYZero(triple align=O, bool extend=false);
-axis Bounds(int type=Both, int type2=Both, triple align=O, bool extend=false);
-The optional 'align' parameter to these routines can be used to specify
-the default axis and tick label alignments.  The 'Bounds' axis accepts
-two type parameters, each of which must be one of 'Min', 'Max', or
-'Both'.  These parameters specify which of the four possible
-three-dimensional bounding box edges should be drawn.
-
-   The three-dimensional tick options are 'NoTicks3', 'InTicks',
-'OutTicks', and 'InOutTicks'.  These specify the tick directions for the
-'Bounds' axis type; other axis types inherit the direction that would be
-used for the 'Bounds(Min,Min)' axis.
-
-   Here is an example of a helix and bounding box axes with ticks and
-axis labels, using orthographic projection:
-import graph3;
-
-size(0,200);
-size3(200,IgnoreAspect);
-
-currentprojection=orthographic(4,6,3);
-
-real x(real t) {return cos(2pi*t);}
-real y(real t) {return sin(2pi*t);}
-real z(real t) {return t;}
-
-path3 p=graph(x,y,z,0,2.7,operator ..);
-
-draw(p,Arrow3);
-
-scale(true);
-
-xaxis3(XZ()*"$x$",Bounds,red,InTicks(Label,2,2));
-yaxis3(YZ()*"$y$",Bounds,red,InTicks(beginlabel=false,Label,2,2));
-zaxis3(XZ()*"$z$",Bounds,red,InTicks);
-
-                                [helix]
-
-   The next example illustrates three-dimensional x, y, and z axes,
-without autoscaling of the axis limits:
-import graph3;
-
-size(0,200);
-size3(200,IgnoreAspect);
-
-currentprojection=perspective(5,2,2);
-
-scale(Linear,Linear,Log);
-
-xaxis3("$x$",0,1,red,OutTicks(2,2));
-yaxis3("$y$",0,1,red,OutTicks(2,2));
-zaxis3("$z$",1,30,red,OutTicks(beginlabel=false));
-
-                                [axis3]
-
-   One can also place ticks along a general three-dimensional axis:
-import graph3;
-
-size(0,100);
-
-path3 g=yscale3(2)*unitcircle3;
-currentprojection=perspective(10,10,10);
-
-axis(Label("C",position=0,align=15X),g,InTicks(endlabel=false,8,end=false),
-     ticklocate(0,360,new real(real v) {
-         path3 h=O--max(abs(max(g)),abs(min(g)))*dir(90,v);
-         return intersect(g,h)[0];},
-       new triple(real t) {return cross(dir(g,t),Z);}));
-
-
-                            [generalaxis3]
-
-   Surface plots of matrices and functions over the region 'box(a,b)' in
-the XY plane are also implemented:
-surface surface(real[][] f, pair a, pair b, bool[][] cond={});
-surface surface(real[][] f, pair a, pair b, splinetype xsplinetype,
-                splinetype ysplinetype=xsplinetype, bool[][] cond={});
-surface surface(real[][] f, real[] x, real[] y,
-                splinetype xsplinetype=null, splinetype ysplinetype=xsplinetype,
-                bool[][] cond={})
-surface surface(triple[][] f, bool[][] cond={});
-surface surface(real f(pair z), pair a, pair b, int nx=nmesh, int ny=nx,
-                bool cond(pair z)=null);
-surface surface(real f(pair z), pair a, pair b, int nx=nmesh, int ny=nx,
-                splinetype xsplinetype, splinetype ysplinetype=xsplinetype,
-                bool cond(pair z)=null);
-surface surface(triple f(pair z), real[] u, real[] v,
-                splinetype[] usplinetype, splinetype[] vsplinetype=Spline,
-                bool cond(pair z)=null);
-surface surface(triple f(pair z), pair a, pair b, int nu=nmesh, int nv=nu,
-                bool cond(pair z)=null);
-surface surface(triple f(pair z), pair a, pair b, int nu=nmesh, int nv=nu,
-                splinetype[] usplinetype, splinetype[] vsplinetype=Spline,
-                bool cond(pair z)=null);
-The final two versions draw parametric surfaces for a function f(u,v)
-over the parameter space 'box(a,b)', as illustrated in the example
-'parametricsurface.asy'.  An optional splinetype 'Spline' may be
-specified.  The boolean array or function 'cond' can be used to control
-which surface mesh cells are actually drawn (by default all mesh cells
-over 'box(a,b)' are drawn).  Surface lighting is illustrated in the
-example files 'parametricsurface.asy' and 'sinc.asy'.  Lighting can be
-disabled by setting 'light=nolight', as in this example of a Gaussian
-surface:
-import graph3;
-
-size(200,0);
-
-currentprojection=perspective(10,8,4);
-
-real f(pair z) {return 0.5+exp(-abs(z)^2);}
-
-draw((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle);
-
-draw(arc(0.12Z,0.2,90,60,90,25),ArcArrow3);
-
-surface s=surface(f,(-1,-1),(1,1),nx=5,Spline);
-
-xaxis3(Label("$x$"),red,Arrow3);
-yaxis3(Label("$y$"),red,Arrow3);
-zaxis3(XYZero(extend=true),red,Arrow3);
-
-draw(s,lightgray,meshpen=black+thick(),nolight,render(merge=true));
-
-label("$O$",O,-Z+Y,red);
-
-                           [GaussianSurface]
-A mesh can be drawn without surface filling by specifying 'nullpen' for
-the surfacepen.
-
-   A vector field of 'nu'\times'nv' arrows on a parametric surface 'f'
-over 'box(a,b)' can be drawn with the routine
-picture vectorfield(path3 vector(pair v), triple f(pair z), pair a, pair b,
-                    int nu=nmesh, int nv=nu, bool truesize=false,
-                    real maxlength=truesize ? 0 : maxlength(f,a,b,nu,nv),
-                    bool cond(pair z)=null, pen p=currentpen,
-                    arrowbar3 arrow=Arrow3, margin3 margin=PenMargin3)
-   as illustrated in the examples 'vectorfield3.asy' and
-'vectorfieldsphere.asy'.
-
-
-File: asymptote.info,  Node: grid3,  Next: solids,  Prev: graph3,  Up: Base modules
-
-8.32 'grid3'
-============
-
-This module, contributed by Philippe Ivaldi, can be used for drawing 3D
-grids.  Here is an example (further examples can be found in 'grid3.asy'
-and at <http://www.piprime.fr/files/asymptote/grid3/>):
-import grid3;
-
-size(8cm,0,IgnoreAspect);
-currentprojection=orthographic(0.5,1,0.5);
-
-scale(Linear, Linear, Log);
-
-limits((-2,-2,1),(0,2,100));
-
-grid3(XYZgrid);
-
-xaxis3(Label("$x$",position=EndPoint,align=S),Bounds(Min,Min),
-       OutTicks());
-yaxis3(Label("$y$",position=EndPoint,align=S),Bounds(Min,Min),OutTicks());
-zaxis3(Label("$z$",position=EndPoint,align=(-1,0.5)),Bounds(Min,Min),
-       OutTicks(beginlabel=false));
-
-
-                              [grid3xyz]
-
-
-File: asymptote.info,  Node: solids,  Next: tube,  Prev: grid3,  Up: Base modules
-
-8.33 'solids'
-=============
-
-This solid geometry package defines a structure 'revolution' that can be
-used to fill and draw surfaces of revolution.  The following example
-uses it to display the outline of a circular cylinder of radius 1 with
-axis 'O--1.5unit(Y+Z)' with perspective projection:
-import solids;
-
-size(0,100);
-
-revolution r=cylinder(O,1,1.5,Y+Z);
-draw(r,heavygreen);
-
-                          [cylinderskeleton]
-
-   Further illustrations are provided in the example files
-'cylinder.asy', 'cones.asy', 'hyperboloid.asy', and 'torus.asy'.
-
-   The structure 'skeleton' contains the three-dimensional wireframe
-used to visualize a volume of revolution:
-struct skeleton {
-  struct curve {
-    path3[] front;
-    path3[] back;
-  }
-  // transverse skeleton (perpendicular to axis of revolution)
-  curve transverse;
-  // longitudinal skeleton (parallel to axis of revolution)
-  curve longitudinal;
-}
-
-
-File: asymptote.info,  Node: tube,  Next: flowchart,  Prev: solids,  Up: Base modules
-
-8.34 'tube'
-===========
-
-This package extends the 'tube' surfaces constructed in
-'three_arrows.asy' to arbitrary cross sections, colors, and spine
-transformations.  The routine
-surface tube(path3 g, coloredpath section,
-             transform T(real)=new transform(real t) {return identity();},
-             real corner=1, real relstep=0);
-draws a tube along 'g' with cross section 'section', after applying the
-transformation 'T(t)' at 'relpoint(g,t)'.  The parameter 'corner'
-controls the number of elementary tubes at the angular points of 'g'.  A
-nonzero value of 'relstep' specifies a fixed relative time step (in the
-sense of 'relpoint(g,t)') to use in constructing elementary tubes along
-'g'.  The type 'coloredpath' is a generalization of 'path' to which a
-'path' can be cast:
-struct coloredpath
-{
-  path p;
-  pen[] pens(real);
-  int colortype=coloredSegments;
-}
-Here 'p' defines the cross section and the method 'pens(real t)' returns
-an array of pens (interpreted as a cyclic array) used for shading the
-tube patches at 'relpoint(g,t)'.  If 'colortype=coloredSegments', the
-tube patches are filled as if each segment of the section was colored
-with the pen returned by 'pens(t)', whereas if 'colortype=coloredNodes',
-the tube components are vertex shaded as if the nodes of the section
-were colored.
-
-   A 'coloredpath' can be constructed with one of the routines:
-coloredpath coloredpath(path p, pen[] pens(real),
-                        int colortype=coloredSegments);
-coloredpath coloredpath(path p, pen[] pens=new pen[] {currentpen},
-                        int colortype=coloredSegments);
-coloredpath coloredpath(path p, pen pen(real));
-In the second case, the pens are independent of the relative time.  In
-the third case, the array of pens contains only one pen, which depends
-of the relative time.
-
-   The casting of 'path' to 'coloredpath' allows the use of a 'path'
-instead of a 'coloredpath'; in this case the shading behaviour is the
-default shading behavior for a surface.
-
-   An example of 'tube' is provided in the file 'trefoilknot.asy'.
-Further examples can be found at
-<http://www.piprime.fr/files/asymptote/tube/>.
-
-
-File: asymptote.info,  Node: flowchart,  Next: contour,  Prev: tube,  Up: Base modules
-
-8.35 'flowchart'
-================
-
-This package provides routines for drawing flowcharts.  The primary
-structure is a 'block', which represents a single block on the
-flowchart.  The following eight functions return a position on the
-appropriate edge of the block, given picture transform 't':
-
-pair block.top(transform t=identity());
-pair block.left(transform t=identity());
-pair block.right(transform t=identity());
-pair block.bottom(transform t=identity());
-pair block.topleft(transform t=identity());
-pair block.topright(transform t=identity());
-pair block.bottomleft(transform t=identity());
-pair block.bottomright(transform t=identity());
-
-To obtain an arbitrary position along the boundary of the block in user
-coordinates, use:
-pair block.position(real x, transform t=identity());
-
-The center of the block in user coordinates is stored in 'block.center'
-and the block size in 'PostScript' coordinates is given by 'block.size'.
-
-A frame containing the block is returned by
-frame block.draw(pen p=currentpen);
-
-   The following block generation routines accept a Label, string, or
-frame for their object argument:
-
-"rectangular block with an optional header (and padding 'dx' around header and body):"
-     block rectangle(object header, object body, pair center=(0,0),
-                     pen headerpen=mediumgray, pen bodypen=invisible,
-                     pen drawpen=currentpen,
-                     real dx=3, real minheaderwidth=minblockwidth,
-                     real minheaderheight=minblockwidth,
-                     real minbodywidth=minblockheight,
-                     real minbodyheight=minblockheight);
-     block rectangle(object body, pair center=(0,0),
-                     pen fillpen=invisible, pen drawpen=currentpen,
-                     real dx=3, real minwidth=minblockwidth,
-                     real minheight=minblockheight);
-
-"parallelogram block:"
-     block parallelogram(object body, pair center=(0,0),
-                         pen fillpen=invisible, pen drawpen=currentpen,
-                         real dx=3, real slope=2,
-                         real minwidth=minblockwidth,
-                         real minheight=minblockheight);
-
-"diamond-shaped block:"
-     block diamond(object body, pair center=(0,0),
-                   pen fillpen=invisible, pen drawpen=currentpen,
-                   real ds=5, real dw=1,
-                   real height=20, real minwidth=minblockwidth,
-                   real minheight=minblockheight);
-
-"circular block:"
-     block circle(object body, pair center=(0,0), pen fillpen=invisible,
-                  pen drawpen=currentpen, real dr=3,
-                  real mindiameter=mincirclediameter);
-
-"rectangular block with rounded corners:"
-     block roundrectangle(object body, pair center=(0,0),
-                          pen fillpen=invisible, pen drawpen=currentpen,
-                          real ds=5, real dw=0, real minwidth=minblockwidth,
-                          real minheight=minblockheight);
-
-"rectangular block with beveled edges:"
-     block bevel(object body, pair center=(0,0), pen fillpen=invisible,
-                 pen drawpen=currentpen, real dh=5, real dw=5,
-                 real minwidth=minblockwidth, real minheight=minblockheight);
-
-   To draw paths joining the pairs in 'point' with right-angled lines,
-use the routine:
-path path(pair point[] ... flowdir dir[]);
-The entries in 'dir' identify whether successive segments between the
-pairs specified by 'point' should be drawn in the 'Horizontal' or
-'Vertical' direction.
-
-   Here is a simple flowchart example (see also the example
-'controlsystem.asy'):
-
-size(0,300);
-
-import flowchart;
-
-block block1=rectangle(Label("Example",magenta),
-		       pack(Label("Start:",heavygreen),"",Label("$A:=0$",blue),
-			    "$B:=1$"),(-0.5,3),palegreen,paleblue,red);
-block block2=diamond(Label("Choice?",blue),(0,2),palegreen,red);
-block block3=roundrectangle("Do something",(-1,1));
-block block4=bevel("Don't do something",(1,1));
-block block5=circle("End",(0,0));
-
-draw(block1);
-draw(block2);
-draw(block3);
-draw(block4);
-draw(block5);
-
-add(new void(picture pic, transform t) {
-    blockconnector operator --=blockconnector(pic,t);
-    //    draw(pic,block1.right(t)--block2.top(t));
-    block1--Right--Down--Arrow--block2;
-    block2--Label("Yes",0.5,NW)--Left--Down--Arrow--block3;
-    block2--Right--Label("No",0.5,NE)--Down--Arrow--block4;
-    block4--Down--Left--Arrow--block5;
-    block3--Down--Right--Arrow--block5;
-  });
-
-                            [flowchartdemo]
-
-
-File: asymptote.info,  Node: contour,  Next: contour3,  Prev: flowchart,  Up: Base modules
-
-8.36 'contour'
-==============
-
-This package draws contour lines.  To construct contours corresponding
-to the values in a real array 'c' for a function 'f' on 'box(a,b)', use
-the routine
-guide[][] contour(real f(real, real), pair a, pair b,
-                  real[] c, int nx=ngraph, int ny=nx,
-                  interpolate join=operator --, int subsample=1);
-The integers 'nx' and 'ny' define the resolution.  The default
-resolution, 'ngraph x ngraph' (here 'ngraph' defaults to '100') can be
-increased for greater accuracy.  The default interpolation operator is
-'operator --' (linear).  Spline interpolation ('operator ..') may
-produce smoother contours but it can also lead to overshooting.  The
-'subsample' parameter indicates the number of interior points that
-should be used to sample contours within each '1 x 1' box; the default
-value of '1' is usually sufficient.
-
-   To construct contours for an array of data values on a uniform
-two-dimensional lattice on 'box(a,b)', use
-guide[][] contour(real[][] f, pair a, pair b, real[] c,
-                  interpolate join=operator --, int subsample=1);
-
-   To construct contours for an array of data values on a nonoverlapping
-regular mesh specified by the two-dimensional array 'z',
-guide[][] contour(pair[][] z, real[][] f, real[] c,
-                  interpolate join=operator --, int subsample=1);
-
-To construct contours for an array of values 'f' specified at
-irregularly positioned points 'z', use the routine
-guide[][] contour(pair[] z, real[] f, real[] c, interpolate join=operator --);
-The contours themselves can be drawn with one of the routines
-void draw(picture pic=currentpicture, Label[] L=new Label[],
-          guide[][] g, pen p=currentpen);
-
-void draw(picture pic=currentpicture, Label[] L=new Label[],
-          guide[][] g, pen[] p);
-
-   The following simple example draws the contour at value '1' for the
-function z=x^2+y^2, which is a unit circle:
-import contour;
-size(75);
-
-real f(real a, real b) {return a^2+b^2;}
-draw(contour(f,(-1,-1),(1,1),new real[] {1}));
-
-                             [onecontour]
-
-   The next example draws and labels multiple contours for the function
-z=x^2-y^2 with the resolution '100 x 100', using a dashed pen for
-negative contours and a solid pen for positive (and zero) contours:
-import contour;
-
-size(200);
-
-real f(real x, real y) {return x^2-y^2;}
-int n=10;
-real[] c=new real[n];
-for(int i=0; i < n; ++i) c[i]=(i-n/2)/n;
-
-pen[] p=sequence(new pen(int i) {
-    return (c[i] >= 0 ? solid : dashed)+fontsize(6pt);
-  },c.length);
-
-Label[] Labels=sequence(new Label(int i) {
-    return Label(c[i] != 0 ? (string) c[i] : "",Relative(unitrand()),(0,0),
-                 UnFill(1bp));
-  },c.length);
-
-draw(Labels,contour(f,(-1,-1),(1,1),c),p);
-
-                            [multicontour]
-
-   The next example illustrates how contour lines can be drawn on color
-density images:
-import graph;
-import palette;
-import contour;
-
-size(10cm,10cm,IgnoreAspect);
-
-pair a=(0,0);
-pair b=(2pi,2pi);
-
-real f(real x, real y) {return cos(x)*sin(y);}
-
-int N=200;
-int Divs=10;
-int divs=2;
-
-defaultpen(1bp);
-pen Tickpen=black;
-pen tickpen=gray+0.5*linewidth(currentpen);
-pen[] Palette=BWRainbow();
-
-bounds range=image(f,Automatic,a,b,N,Palette);
-    
-// Major contours
-
-real[] Cvals=uniform(range.min,range.max,Divs);
-draw(contour(f,a,b,Cvals,N,operator --),Tickpen);
-
-// Minor contours
-real[] cvals;
-for(int i=0; i < Cvals.length-1; ++i)
-  cvals.append(uniform(Cvals[i],Cvals[i+1],divs)[1:divs]);
-draw(contour(f,a,b,cvals,N,operator --),tickpen);
-
-xaxis("$x$",BottomTop,LeftTicks,above=true);
-yaxis("$y$",LeftRight,RightTicks,above=true);
-
-palette("$f(x,y)$",range,point(NW)+(0,0.5),point(NE)+(0,1),Top,Palette,
-        PaletteTicks(N=Divs,n=divs,Tickpen,tickpen));
-
-                            [imagecontour]
-
-   Finally, here is an example that illustrates the construction of
-contours from irregularly spaced data:
-import contour;
-
-size(200);
-
-int n=100;
-
-real f(real a, real b) {return a^2+b^2;}
-
-srand(1);
-
-real r() {return 1.1*(rand()/randMax*2-1);}
-
-pair[] points=new pair[n];
-real[] values=new real[n];
-
-for(int i=0; i < n; ++i) {
-  points[i]=(r(),r());
-  values[i]=f(points[i].x,points[i].y);
-}
-
-draw(contour(points,values,new real[]{0.25,0.5,1},operator ..),blue);
-
-                          [irregularcontour]
-
-   In the above example, the contours of irregularly spaced data are
-constructed by first creating a triangular mesh from an array 'z' of
-pairs:
-
-int[][] triangulate(pair[] z);
-
-size(200);
-int np=100;
-pair[] points;
-
-real r() {return 1.2*(rand()/randMax*2-1);}
-
-for(int i=0; i < np; ++i)
-  points.push((r(),r()));
-
-int[][] trn=triangulate(points);
-
-for(int i=0; i < trn.length; ++i) {
-  draw(points[trn[i][0]]--points[trn[i][1]]);
-  draw(points[trn[i][1]]--points[trn[i][2]]);
-  draw(points[trn[i][2]]--points[trn[i][0]]);
-}
-
-for(int i=0; i < np; ++i)
-  dot(points[i],red);
-
-                             [triangulate]
-
-   The example 'Gouraudcontour.asy' illustrates how to produce color
-density images over such irregular triangular meshes.  'Asymptote' uses
-a robust version of Paul Bourke's Delaunay triangulation algorithm based
-on the public-domain exact arithmetic predicates written by Jonathan
-Shewchuk.
-
-
-File: asymptote.info,  Node: contour3,  Next: smoothcontour3,  Prev: contour,  Up: Base modules
-
-8.37 'contour3'
-===============
-
-This package draws surfaces described as the null space of real-valued
-functions of (x,y,z) or 'real[][][]' matrices.  Its usage is illustrated
-in the example file 'magnetic.asy'.
-
-
-File: asymptote.info,  Node: smoothcontour3,  Next: slopefield,  Prev: contour3,  Up: Base modules
-
-8.38 'smoothcontour3'
-=====================
-
-This module, written by Charles Staats, draws implicitly defined
-surfaces with smooth appearance.  The purpose of this module is similar
-to that of 'contour3': given a real-valued function f(x,y,z), construct
-the surface described by the equation f(x,y,z) = 0.  The
-'smoothcontour3' module generally produces nicer results than
-'contour3', but takes longer to compile.  Additionally, the algorithm
-assumes that the function and the surface are both smooth; if they are
-not, then 'contour3' may be a better choice.
-
-   To construct the null surface of a function 'f(triple)' or
-'ff(real,real,real)' over 'box(a,b)', use the routine
-surface implicitsurface(real f(triple)=null, 
-                        real ff(real,real,real)=null,
-                        triple a, 
-                        triple b,
-                        int n=nmesh,
-                        bool keyword overlapedges=false,
-                        int keyword nx=n,
-                        int keyword ny=n,
-                        int keyword nz=n,
-                        int keyword maxdepth=8,
-                        bool usetriangles=true);
-The optional parameter 'overlapedges' attempts to compensate for an
-artifact that can cause the renderer to "see through" the boundary
-between patches.  Although it defaults to 'false', it should usually be
-set to 'true'.  The example 'genustwo.asy' illustrates the use of this
-function.  Additional examples, together with a more in-depth
-explanation of the module's usage and pitfalls, are available at
-<https://github.com/charlesstaats/smoothcontour3>.
-
-
-File: asymptote.info,  Node: slopefield,  Next: ode,  Prev: smoothcontour3,  Up: Base modules
-
-8.39 'slopefield'
-=================
-
-To draw a slope field for the differential equation dy/dx=f(x,y) (or
-dy/dx=f(x)), use:
-picture slopefield(real f(real,real), pair a, pair b,
-                   int nx=nmesh, int ny=nx, 
-                   real tickfactor=0.5, pen p=currentpen,
-                   arrowbar arrow=None);
-Here, the points 'a' and 'b' are the lower left and upper right corners
-of the rectangle in which the slope field is to be drawn, 'nx' and 'ny'
-are the respective number of ticks in the x and y directions,
-'tickfactor' is the fraction of the minimum cell dimension to use for
-drawing ticks, and 'p' is the pen to use for drawing the slope fields.
-The return value is a picture that can be added to 'currentpicture' via
-the 'add(picture)' command.
-
-   The function
-path curve(pair c, real f(real,real), pair a, pair b);
-takes a point ('c') and a slope field-defining function 'f' and returns,
-as a path, the curve passing through that point.  The points 'a' and 'b'
-represent the rectangular boundaries over which the curve is
-interpolated.
-
-   Both 'slopefield' and 'curve' alternatively accept a function 'real
-f(real)' that depends on x only, as seen in this example:
-
-import slopefield;
-
-size(200);
-
-real func(real x) {return 2x;}
-add(slopefield(func,(-3,-3),(3,3),20,Arrow));
-draw(curve((0,0),func,(-3,-3),(3,3)),red);
-
-
-
-                             [slopefield1]
-
-
-File: asymptote.info,  Node: ode,  Prev: slopefield,  Up: Base modules
-
-8.40 'ode'
-==========
-
-The 'ode' module, illustrated in the example 'odetest.asy', implements a
-number of explicit numerical integration schemes for ordinary
-differential equations.
-
-
-File: asymptote.info,  Node: Options,  Next: Interactive mode,  Prev: Base modules,  Up: Top
-
-9 Command-line options
-**********************
-
-Type 'asy -h' to see the full list of command-line options supported by
-'Asymptote':
-Usage: ../asy [options] [file ...]
-
-Options (negate by replacing - with -no): 
-
--V,-View               View output; command-line only
--a,-align C|B|T|Z      Center, Bottom, Top, or Zero page alignment [C]
--aligndir pair         Directional page alignment (overrides align) [(0,0)]
--antialias n           Antialiasing width for rasterized output [2]
--arcballradius pixels  Arcball radius [750]
--auto3D                Automatically activate 3D scene [true]
--autobillboard         3D labels always face viewer by default [true]
--autoimport string     Module to automatically import
--autoplain             Enable automatic importing of plain [true]
--autoplay              Autoplay 3D animations [false]
--autorotate            Enable automatic PDF page rotation [false]
--axes3                 Show 3D axes in PDF output [true]
--batchMask             Mask fpu exceptions in batch mode [false]
--batchView             View output in batch mode [false]
--bw                    Convert all colors to black and white [false]
--cd directory          Set current directory; command-line only
--cmyk                  Convert rgb colors to cmyk [false]
--c,-command string     Command to autoexecute
--compact               Conserve memory at the expense of speed [false]
--d,-debug              Enable debugging messages [false]
--divisor n             Garbage collect using purge(divisor=n) [2]
--doubleclick ms        Emulated double-click timeout [200]
--embed                 Embed rendered preview image [true]
--exitonEOF             Exit interactive mode on EOF [true]
--fitscreen             Fit rendered image to screen [true]
--framedelay ms         Additional frame delay [0]
--framerate frames/s    Animation speed [30]
--globalwrite           Allow write to other directory [false]
--gray                  Convert all colors to grayscale [false]
--h,-help               Show summary of options; command-line only
--historylines n        Retain n lines of history [1000]
--iconify               Iconify rendering window [false]
--inlineimage           Generate inline embedded image [false]
--inlinetex             Generate inline TeX code [false]
--interactiveMask       Mask fpu exceptions in interactive mode [true]
--interactiveView       View output in interactive mode [true]
--interactiveWrite      Write expressions entered at the prompt to stdout [true]
--k,-keep               Keep intermediate files [false]
--keepaux               Keep intermediate LaTeX .aux files [false]
--level n               Postscript level [3]
--l,-listvariables      List available global functions and variables [false]
--localhistory          Use a local interactive history file [false]
--loop                  Loop 3D animations [false]
--m,-mask               Mask fpu exceptions; command-line only
--maxtile pair          Maximum rendering tile size [(1024,768)]
--maxviewport pair      Maximum viewport size [(2048,2048)]
--multiline             Input code over multiple lines at the prompt [false]
--multipleView          View output from multiple batch-mode files [false]
--multisample n         Multisampling width for screen images [4]
--offscreen             Use offscreen rendering [false]
--O,-offset pair        PostScript offset [(0,0)]
--f,-outformat format   Convert each output file to specified format
--o,-outname name       Alternative output directory/filename
--p,-parseonly          Parse file [false]
--pdfreload             Automatically reload document in pdfviewer [false]
--pdfreloaddelay usec   Delay before attempting initial pdf reload [750000]
--position pair         Initial 3D rendering screen position [(0,0)]
--prc                   Embed 3D PRC graphics in PDF output [true]
--prompt string         Prompt [> ]
--prompt2 string        Continuation prompt for multiline input  [..]
--q,-quiet              Suppress welcome text and noninteractive stdout [false]
--render n              Render 3D graphics using n pixels per bp (-1=auto) [-1]
--resizestep step       Resize step [1.2]
--reverse               reverse 3D animations [false]
--rgb                   Convert cmyk colors to rgb [false]
--safe                  Disable system call [true]
--scroll n              Scroll standard output n lines at a time [0]
--spinstep deg/s        Spin speed [60]
--svgemulation          Emulate unimplemented SVG shading [false]
--tabcompletion         Interactive prompt auto-completion [true]
--tex engine            latex|pdflatex|xelatex|lualatex|tex|pdftex|luatex|context|none [latex]
--thick                 Render thick 3D lines [true]
--thin                  Render thin 3D lines [true]
--threads               Use POSIX threads for 3D rendering [true]
--toolbar               Show 3D toolbar in PDF output [true]
--s,-translate          Show translated virtual machine code [false]
--twice                 Run LaTeX twice (to resolve references) [false]
--twosided              Use two-sided 3D lighting model for rendering [true]
--u,-user string        General purpose user string
--v,-verbose            Increase verbosity level (can specify multiple times) [0]
--version               Show version; command-line only
--wait                  Wait for child processes to finish before exiting [false]
--warn string           Enable warning; command-line only
--where                 Show where listed variables are declared [false]
--zoomfactor factor     Zoom step factor [1.05]
--zoomstep step         Mouse motion zoom step [0.1]
-
-
-   All boolean options can be negated by prepending 'no' to the option
-name.
-
-   If no arguments are given, 'Asymptote' runs in interactive mode
-(*note Interactive mode::).  In this case, the default output file is
-'out.eps'.
-
-   If '-' is given as the file argument, 'Asymptote' reads from standard
-input.
-
-   If multiple files are specified, they are treated as separate
-'Asymptote' runs.
-
-   If the string 'autoimport' is nonempty, a module with this name is
-automatically imported for each run as the final step in loading module
-'plain'.
-
-   Default option values may be entered as 'Asymptote' code in a
-configuration file named 'config.asy' (or the file specified by the
-environment variable 'ASYMPTOTE_CONFIG' or '-config' option).
-'Asymptote' will look for this file in its usual search path (*note
-Search paths::).  Typically the configuration file is placed in the
-'.asy' directory in the user's home directory ('%USERPROFILE%\.asy'
-under 'MSDOS').  Configuration variables are accessed using the long
-form of the option names:
-import settings;
-outformat="pdf";
-batchView=false;
-interactiveView=true;
-batchMask=false;
-interactiveMask=true;
-   Command-line options override these defaults.  Most configuration
-variables may also be changed at runtime.  The advanced configuration
-variables 'dvipsOptions', 'hyperrefOptions', 'convertOptions',
-'gsOptions', 'psviewerOptions', 'pdfviewerOptions', 'pdfreloadOptions',
-'glOptions', and 'dvisvgmOptions' allow specialized options to be passed
-as a string to the respective applications or libraries.  The default
-value of 'hyperrefOptions' is 'setpagesize=false,unicode,pdfborder=0 0
-0'.
-
-   If you insert
-import plain;
-settings.autoplain=true;
-at the beginning of the configuration file, it can contain arbitrary
-'Asymptote' code.
-
-   The default output format is EPS for the (default) 'latex' and 'tex'
-tex engine and PDF for the 'pdflatex', 'xelatex', 'context', 'luatex',
-and 'lualatex' tex engines.  Alternative output formats may be produced
-using the '-f' option (or 'outformat' setting).
-
-   To produce SVG output, you will need 'dvisvgm' (version 1.5.3 or
-later) from <http://dvisvgm.sourceforge.net> and must use the 'latex' or
-'tex' tex engine.  You might need to adjust the configuration variable
-'libgs' to point to the location of your 'Ghostscript' library
-'libgs.so' (or to an empty string, depending on how 'dvisvgm' was
-configured).
-
-   'Asymptote' can also produce any output format supported by the
-'ImageMagick' 'convert' program (version 6.3.5 or later recommended; an
-'Invalid Parameter' error message indicates that the 'MSDOS' utility
-'convert' is being used instead of the one that comes with
-'ImageMagick').  The optional setting '-render n' requests an output
-resolution of 'n' pixels per 'bp'.  Antialiasing is controlled by the
-parameter 'antialias', which by default specifies a sampling width of 2
-pixels.  To give other options to 'convert', use the 'convertOptions'
-setting or call convert manually.  This example emulates how 'Asymptote'
-produces antialiased 'tiff' output at one pixel per 'bp':
-asy -o - venn | convert -alpha Off -density 144x144 -geometry 50%x eps:- venn.tiff
-
-   If the option '-nosafe' is given, 'Asymptote' runs in unsafe mode.
-This enables the 'int system(string s)' and 'int system(string[] s)'
-calls, allowing one to execute arbitrary shell commands.  The default
-mode, '-safe', disables this call.
-
-   A 'PostScript' offset may be specified as a pair (in 'bp' units) with
-the '-O' option:
-asy -O 0,0 file
-The default offset is zero.  The pair 'aligndir' specifies an optional
-direction on the boundary of the page (mapped to the rectangle
-[-1,1]\times[-1,1]) to which the picture should be aligned; the default
-value '(0,0)' species center alignment.
-
-   The '-c' ('command') option may be used to execute arbitrary
-'Asymptote' code on the command line as a string.  It is not necessary
-to terminate the string with a semicolon.  Multiple '-c' options are
-executed in the order they are given.  For example
-asy -c 2+2 -c "sin(1)" -c "size(100); draw(unitsquare)" 
-produces the output
-4
-0.841470984807897
-and draws a unitsquare of size '100'.
-
-   The '-u' ('user') option may be used to specify arbitrary 'Asymptote'
-settings on the command line as a string.  It is not necessary to
-terminate the string with a semicolon.  Multiple '-u' options are
-executed in the order they are given.  Command-line code like '-u
-x=sqrt(2)' can be executed within a module like this:
-real x;
-usersetting();
-write(x);
-
-   When the '-l' ('listvariables') option is used with file arguments,
-only global functions and variables defined in the specified file(s) are
-listed.
-
-   Additional debugging output is produced with each additional '-v'
-option:
-'-v'
-     Display top-level module and final output file names.
-'-vv'
-     Also display imported and included module names and final 'LaTeX'
-     and 'dvips' processing information.
-'-vvv'
-     Also output 'LaTeX' bidirectional pipe diagnostics.
-'-vvvv'
-     Also output knot guide solver diagnostics.
-'-vvvvv'
-     Also output 'Asymptote' traceback diagnostics.
-
-
-File: asymptote.info,  Node: Interactive mode,  Next: GUI,  Prev: Options,  Up: Top
-
-10 Interactive mode
-*******************
-
-Interactive mode is entered by executing the command 'asy' with no file
-arguments.  When the '-multiline' option is disabled (the default), each
-line must be a complete 'Asymptote' statement (unless explicitly
-continued by a final backslash character '\'); it is not necessary to
-terminate input lines with a semicolon.  If one assigns
-'settings.multiline=true', interactive code can be entered over multiple
-lines; in this mode, the automatic termination of interactive input
-lines by a semicolon is inhibited.  Multiline mode is useful for cutting
-and pasting 'Asymptote' code directly into the interactive input buffer.
-
-   Interactive mode can be conveniently used as a calculator:
-expressions entered at the interactive prompt (for which a corresponding
-'write' function exists) are automatically evaluated and written to
-'stdout'.  If the expression is non-writable, its type signature will be
-printed out instead.  In either case, the expression can be referred to
-using the symbol '%' in the next line input at the prompt.  For example:
-> 2+3
-5
-> %*4
-20
-> 1/%
-0.05
-> sin(%)
-0.0499791692706783
-> currentpicture
-<picture currentpicture>
-> %.size(200,0)
-> 
-
-   The '%' symbol, when used as a variable, is shorthand for the
-identifier 'operator answer', which is set by the prompt after each
-written expression evaluation.
-
-   The following special commands are supported only in interactive mode
-and must be entered immediately after the prompt:
-
-'help'
-     view the manual;
-'erase'
-     erase 'currentpicture';
-'reset'
-     reset the 'Asymptote' environment to its initial state, except for
-     changes to the settings module (*note settings::), the current
-     directory (*note cd::), and breakpoints (*note Debugger::);
-'input FILE'
-     does an interactive reset, followed by the command 'include FILE'.
-     If the file name 'FILE' contains nonalphanumeric characters,
-     enclose it with quotation marks.  A trailing semi-colon followed by
-     optional 'Asymptote' commands may be entered on the same line.
-'quit'
-     exit interactive mode ('exit' is a synonym; the abbreviation 'q' is
-     also accepted unless there exists a top-level variable named 'q').
-     A history of the most recent 1000 (this number can be changed with
-     the 'historylines' configuration variable) previous commands will
-     be retained in the file '.asy/history' in the user's home directory
-     (unless the command-line option '-localhistory' was specified, in
-     which case the history will be stored in the file '.asy_history' in
-     the current directory).
-
-   Typing 'ctrl-C' interrupts the execution of 'Asymptote' code and
-returns control to the interactive prompt.
-
-   Interactive mode is implemented with the GNU 'readline' library, with
-command history and auto-completion.  To customize the key bindings,
-see: <http://cnswww.cns.cwru.edu/php/chet/readline/readline.html>
-
-   The file 'asymptote.py' in the 'Asymptote' system directory provides
-an alternative way of entering 'Asymptote' commands interactively,
-coupled with the full power of 'Python'.  Copy this file to your 'Python
-path' and then execute from within 'Python' the commands
-from asymptote import *
-g=asy()
-g.size(200)
-g.draw("unitcircle")
-g.send("draw(unitsquare)")
-g.fill("unitsquare, blue")
-g.clip("unitcircle")
-g.label("\"$O$\", (0,0), SW")
-
-
-File: asymptote.info,  Node: GUI,  Next: PostScript to Asymptote,  Prev: Interactive mode,  Up: Top
-
-11 Graphical User Interface
-***************************
-
-* Menu:
-
-* GUI installation::            Installing 'xasy'
-* GUI usage::                   Using 'xasy' to edit objects
-
-In the event that adjustments to the final figure are required, the
-preliminary Graphical User Interface (GUI) 'xasy' included with
-'Asymptote' allows you to move graphical objects and draw new ones.  The
-modified figure can then be saved as a normal 'Asymptote' file.
-
-
-File: asymptote.info,  Node: GUI installation,  Next: GUI usage,  Prev: GUI,  Up: GUI
-
-11.1 GUI installation
-=====================
-
-As 'xasy' is written in the interactive scripting language 'Python/TK',
-it requires 'Python' (<http://www.python.org>), the 'Pillow' fork of the
-'Python Imaging Library',and the 'tkinter' package (included with
-'Python' under 'Microsoft Windows').  'Fedora Linux' users can either
-install 'tkinter' and 'Pillow' with the commands
-dnf install tkinter
-dnf install tk-devel
-dnf install python-pillow-tk
-or manually install the 'tkinter', 'tix', 'tk', and 'tk-devel' packages.
-
-   Pictures are deconstructed into the PNG image format, which supports
-full alpha channel transparency.  Under 'Microsoft Windows', this
-requires 'Python 2.7.4' or later and version '3.1.0' of the 'Pillow'
-fork of the 'Python Imaging Library', available from
-     <http://pypi.python.org/pypi/Pillow>
-
-
-File: asymptote.info,  Node: GUI usage,  Prev: GUI installation,  Up: GUI
-
-11.2 GUI usage
-==============
-
-A wheel mouse is convenient for raising and lowering objects within
-'xasy', to expose the object to be moved.  If a wheel mouse is not
-available, mouse 'Button-2' can be used to repeatedly lower an object
-instead.  When run from the command line, 'xasy' accepts a command line
-option '-x n', which sets the initial magnification to 'n'.
-
-   Deconstruction of compound objects (such as arrows) can be prevented
-by enclosing them within the commands
-void begingroup(picture pic=currentpicture);
-void endgroup(picture pic=currentpicture);
-   By default, the elements of a picture or frame will be grouped
-together on adding them to a picture.  However, the elements of a frame
-added to another frame are not grouped together by default: their
-elements will be individually deconstructed (*note add::).
-
-
-File: asymptote.info,  Node: PostScript to Asymptote,  Next: Help,  Prev: GUI,  Up: Top
-
-12 'PostScript' to 'Asymptote'
-******************************
-
-The excellent 'PostScript' editor 'pstoedit' (version 3.50 or later;
-available from <http://sourceforge.net/projects/pstoedit/>) includes an
-'Asymptote' backend.  Unlike virtually all other 'pstoedit' backends,
-this driver includes native clipping, even-odd fill rule, 'PostScript'
-subpath, and full image support.  Here is an example: 'asy -V
-/usr/local/share/doc/asymptote/examples/venn.asy'
-pstoedit -f asy venn.eps test.asy
-asy -V test
-
-If the line widths aren't quite correct, try giving 'pstoedit' the
-'-dis' option.  If the fonts aren't typeset correctly, try giving
-'pstoedit' the '-dt' option.
-
-
-File: asymptote.info,  Node: Help,  Next: Debugger,  Prev: PostScript to Asymptote,  Up: Top
-
-13 Help
-*******
-
-A list of frequently asked questions (FAQ) is maintained at
-     <http://asymptote.sourceforge.net/FAQ>
-Questions on installing and using 'Asymptote' that are not addressed in
-the FAQ should be sent to the 'Asymptote' forum:
-     <http://sourceforge.net/p/asymptote/discussion/409349>
-Including an example that illustrates what you are trying to do will
-help you get useful feedback.  'LaTeX' problems can often be diagnosed
-with the '-vv' or '-vvv' command-line options.  Contributions in the
-form of patches or 'Asymptote' modules can be posted here:
-     <http://sourceforge.net/p/asymptote/patches>
-To receive announcements of upcoming releases, please subscribe to
-'Asymptote' at
-     <http://freecode.com/projects/asy>
-If you find a bug in 'Asymptote', please check (if possible) whether the
-bug is still present in the latest 'git' developmental code (*note
-Git::) before submitting a bug report.  New bugs can be reported at
-     <https://github.com/vectorgraphics/asymptote/issues>
-To see if the bug has already been fixed, check bugs with Status
-'Closed' and recent lines in
-     <http://asymptote.sourceforge.net/ChangeLog>
-
-   'Asymptote' can be configured with the optional GNU library
-'libsigsegv', available from <http://libsigsegv.sourceforge.net>, which
-allows one to distinguish user-generated 'Asymptote' stack overflows
-(*note stack overflow::) from true segmentation faults (due to internal
-C++ programming errors; please submit the 'Asymptote' code that
-generates such segmentation faults along with your bug report).
-
-
-File: asymptote.info,  Node: Debugger,  Next: Credits,  Prev: Help,  Up: Top
-
-14 Debugger
-***********
-
-Asymptote now includes a line-based (as opposed to code-based) debugger
-that can assist the user in following flow control.  To set a break
-point in file 'file' at line 'line', use the command
-
-void stop(string file, int line, code s=quote{});
-The optional argument 's' may be used to conditionally set the variable
-'ignore' in 'plain_debugger.asy' to 'true'.  For example, the first 10
-instances of this breakpoint will be ignored (the variable 'int count=0'
-is defined in 'plain_debugger.asy'):
-stop("test",2,quote{ignore=(++count <= 10);});
-
-   To set a break point in file 'file' at the first line containing the
-string 'text', use
-
-void stop(string file, string text, code s=quote{});
-To list all breakpoints, use:
-void breakpoints();
-To clear a breakpoint, use:
-void clear(string file, int line);
-To clear all breakpoints, use:
-void clear();
-
-   The following commands may be entered at the debugging prompt:
-
-'h'
-     help;
-'c'
-     continue execution;
-
-'i'
-     step to the next instruction;
-
-'s'
-     step to the next executable line;
-
-'n'
-     step to the next executable line in the current file;
-
-'f'
-     step to the next file;
-
-'r'
-     return to the file associated with the most recent breakpoint;
-
-'t'
-     toggle tracing ('-vvvvv') mode;
-
-'q'
-     quit debugging and end execution;
-
-'x'
-     exit the debugger and run to completion.
-
-Arbitrary 'Asymptote' code may also be entered at the debugging prompt;
-however, since the debugger is implemented with 'eval', currently only
-top-level (global) variables can be displayed or modified.
-
-   The debugging prompt may be entered manually with the call
-void breakpoint(code s=quote{});
-
-
-File: asymptote.info,  Node: Credits,  Next: Index,  Prev: Debugger,  Up: Top
-
-15 Acknowledgments
-******************
-
-Financial support for the development of 'Asymptote' was generously
-provided by the Natural Sciences and Engineering Research Council of
-Canada, the Pacific Institute for Mathematical Sciences, and the
-University of Alberta Faculty of Science.
-
-   We also would like to acknowledge the previous work of John D. Hobby,
-author of the program 'MetaPost' that inspired the development of
-'Asymptote', and Donald E. Knuth, author of TeX and 'MetaFont' (on which
-'MetaPost' is based).
-
-   The authors of 'Asymptote' are Andy Hammerlindl, John Bowman, and Tom
-Prince.  Sean Healy designed the 'Asymptote' logo.  Other contributors
-include Orest Shardt, Jesse Frohlich, Michail Vidiassov, Charles Staats,
-Philippe Ivaldi, Olivier Guibe', Radoslav Marinov, Jeff Samuelson, Chris
-Savage, Jacques Pienaar, Mark Henning, Steve Melenchuk, Martin Wiebusch,
-and Stefan Knorr.
-
-
-File: asymptote.info,  Node: Index,  Prev: Credits,  Up: Top
-
-Index
-*****
-
-
-* Menu:
-
-* !:                                     Arithmetic & logical.
-                                                             (line   57)
-* !=:                                    Structures.         (line   62)
-* != <1>:                                Arithmetic & logical.
-                                                             (line   37)
-* #:                                     Arithmetic & logical.
-                                                             (line   20)
-* %:                                     Arithmetic & logical.
-                                                             (line   25)
-* % <1>:                                 Interactive mode.   (line   16)
-* %=:                                    Self & prefix operators.
-                                                             (line    6)
-* &:                                     Bezier curves.      (line   84)
-* & <1>:                                 Arithmetic & logical.
-                                                             (line   49)
-* &&:                                    Arithmetic & logical.
-                                                             (line   47)
-* *:                                     Pens.               (line   15)
-* * <1>:                                 Arithmetic & logical.
-                                                             (line   16)
-* **:                                    Arithmetic & logical.
-                                                             (line   31)
-* *=:                                    Self & prefix operators.
-                                                             (line    6)
-* +:                                     Pens.               (line   15)
-* + <1>:                                 Arithmetic & logical.
-                                                             (line   13)
-* ++:                                    Self & prefix operators.
-                                                             (line    6)
-* +=:                                    Self & prefix operators.
-                                                             (line    6)
-* -:                                     Arithmetic & logical.
-                                                             (line   14)
-* --:                                    Paths.              (line   16)
-* -- <1>:                                Self & prefix operators.
-                                                             (line    6)
-* ---:                                   Bezier curves.      (line   84)
-* -=:                                    Self & prefix operators.
-                                                             (line    6)
-* -c:                                    Options.            (line  183)
-* -l:                                    Options.            (line  202)
-* -u:                                    Options.            (line  193)
-* -V:                                    Configuring.        (line    6)
-* -V <1>:                                Drawing in batch mode.
-                                                             (line   16)
-* ..:                                    Paths.              (line   16)
-* .asy:                                  Search paths.       (line   12)
-* /:                                     Arithmetic & logical.
-                                                             (line   18)
-* /=:                                    Self & prefix operators.
-                                                             (line    6)
-* 2D graphs:                             graph.              (line    6)
-* 3D graphs:                             graph3.             (line    6)
-* 3D grids:                              grid3.              (line    6)
-* 3D PostScript:                         three.              (line  580)
-* ::                                     Arithmetic & logical.
-                                                             (line   61)
-* :::                                    Bezier curves.      (line   70)
-* <:                                     Arithmetic & logical.
-                                                             (line   39)
-* <=:                                    Arithmetic & logical.
-                                                             (line   41)
-* ==:                                    Structures.         (line   62)
-* == <1>:                                Arithmetic & logical.
-                                                             (line   36)
-* >:                                     Arithmetic & logical.
-                                                             (line   45)
-* >=:                                    Arithmetic & logical.
-                                                             (line   43)
-* ?:                                     Arithmetic & logical.
-                                                             (line   61)
-* ^:                                     Arithmetic & logical.
-                                                             (line   29)
-* ^ <1>:                                 Arithmetic & logical.
-                                                             (line   55)
-* ^=:                                    Self & prefix operators.
-                                                             (line    6)
-* ^^:                                    Paths.              (line   23)
-* |:                                     Arithmetic & logical.
-                                                             (line   53)
-* ||:                                    Arithmetic & logical.
-                                                             (line   51)
-* a4:                                    Configuring.        (line   58)
-* abort:                                 Data types.         (line  363)
-* abs:                                   Data types.         (line   65)
-* abs <1>:                               Mathematical functions.
-                                                             (line   35)
-* accel:                                 Paths and guides.   (line  126)
-* accel <1>:                             Paths and guides.   (line  132)
-* accel <2>:                             three.              (line  484)
-* access:                                Import.             (line    6)
-* acknowledgments:                       Credits.            (line    6)
-* acos:                                  Mathematical functions.
-                                                             (line    6)
-* aCos:                                  Mathematical functions.
-                                                             (line   20)
-* acosh:                                 Mathematical functions.
-                                                             (line    6)
-* add:                                   Frames and pictures.
-                                                             (line  212)
-* add <1>:                               Frames and pictures.
-                                                             (line  228)
-* add <2>:                               three.              (line  256)
-* addViews:                              three.              (line  377)
-* adjust:                                Pens.               (line  119)
-* Ai:                                    Mathematical functions.
-                                                             (line   48)
-* Airy:                                  Mathematical functions.
-                                                             (line   48)
-* Ai_deriv:                              Mathematical functions.
-                                                             (line   48)
-* alias:                                 Structures.         (line   62)
-* alias <1>:                             Arrays.             (line  174)
-* Align:                                 label.              (line   12)
-* aligndir:                              Options.            (line  175)
-* all:                                   Arrays.             (line  322)
-* Allow:                                 Pens.               (line  343)
-* and:                                   Bezier curves.      (line   56)
-* AND:                                   Arithmetic & logical.
-                                                             (line   68)
-* angle:                                 Data types.         (line   73)
-* animate:                               Configuring.        (line   64)
-* animate <1>:                           Files.              (line  155)
-* animate <2>:                           animation.          (line   12)
-* animation:                             animation.          (line    6)
-* animation <1>:                         animation.          (line    6)
-* annotate:                              annotate.           (line    6)
-* antialias:                             three.              (line  195)
-* antialias <1>:                         Options.            (line  146)
-* append:                                Files.              (line   36)
-* append <1>:                            Arrays.             (line   39)
-* arc:                                   Paths and guides.   (line   24)
-* Arc:                                   Paths and guides.   (line   37)
-* arc <1>:                               three.              (line  267)
-* ArcArrow:                              draw.               (line   26)
-* ArcArrow3:                             three.              (line  547)
-* ArcArrows:                             draw.               (line   26)
-* ArcArrows3:                            three.              (line  547)
-* arclength:                             Paths and guides.   (line  153)
-* arclength <1>:                         three.              (line  484)
-* arcpoint:                              Paths and guides.   (line  163)
-* arctime:                               Paths and guides.   (line  157)
-* arctime <1>:                           three.              (line  484)
-* arguments:                             Default arguments.  (line    6)
-* arithmetic operators:                  Arithmetic & logical.
-                                                             (line    6)
-* array:                                 Data types.         (line  283)
-* array <1>:                             Arrays.             (line  112)
-* array iteration:                       Programming.        (line   52)
-* arrays:                                Arrays.             (line    6)
-* arrow:                                 Drawing commands.   (line   31)
-* Arrow:                                 draw.               (line   26)
-* arrow <1>:                             label.              (line   70)
-* arrow keys:                            Drawing in interactive mode.
-                                                             (line   11)
-* Arrow3:                                three.              (line  547)
-* arrows:                                draw.               (line   26)
-* Arrows:                                draw.               (line   26)
-* Arrows3:                               three.              (line  547)
-* as:                                    Import.             (line   67)
-* ascii:                                 Data types.         (line  308)
-* ascii <1>:                             Data types.         (line  308)
-* asin:                                  Mathematical functions.
-                                                             (line    6)
-* aSin:                                  Mathematical functions.
-                                                             (line   20)
-* asinh:                                 Mathematical functions.
-                                                             (line    6)
-* Aspect:                                Frames and pictures.
-                                                             (line   59)
-* assert:                                Data types.         (line  368)
-* assignment:                            Programming.        (line   26)
-* asy:                                   Data types.         (line  358)
-* asy <1>:                               Import.             (line  101)
-* asy-mode:                              Editing modes.      (line    6)
-* asy.vim:                               Editing modes.      (line   32)
-* asyinclude:                            LaTeX usage.        (line   45)
-* asymptote.sty:                         LaTeX usage.        (line    6)
-* asymptote.xml:                         Editing modes.      (line   48)
-* ASYMPTOTE_CONFIG:                      Options.            (line  117)
-* atan:                                  Mathematical functions.
-                                                             (line    6)
-* aTan:                                  Mathematical functions.
-                                                             (line   20)
-* atan2:                                 Mathematical functions.
-                                                             (line    6)
-* atanh:                                 Mathematical functions.
-                                                             (line    6)
-* atleast:                               Bezier curves.      (line   56)
-* attach:                                Frames and pictures.
-                                                             (line  273)
-* attach <1>:                            LaTeX usage.        (line   50)
-* attach <2>:                            graph.              (line  407)
-* autoadjust:                            three.              (line  342)
-* autoimport:                            Options.            (line  113)
-* automatic scaling:                     graph.              (line  691)
-* automatic scaling <1>:                 graph.              (line  691)
-* axialshade:                            fill.               (line   43)
-* axis:                                  graph.              (line  906)
-* axis <1>:                              graph.              (line  989)
-* axis <2>:                              graph3.             (line   66)
-* axis <3>:                              graph3.             (line   82)
-* azimuth:                               Data types.         (line  153)
-* babel:                                 babel.              (line    6)
-* background color:                      Frames and pictures.
-                                                             (line  180)
-* BackView:                              three.              (line  370)
-* Bar:                                   draw.               (line   19)
-* Bar3:                                  three.              (line  547)
-* Bars:                                  draw.               (line   19)
-* Bars3:                                 three.              (line  547)
-* barsize:                               draw.               (line   19)
-* base modules:                          Base modules.       (line    6)
-* basealign:                             Pens.               (line  177)
-* baseline:                              label.              (line   90)
-* batch mode:                            Drawing in batch mode.
-                                                             (line    6)
-* beep:                                  Data types.         (line  381)
-* BeginArcArrow:                         draw.               (line   26)
-* BeginArcArrow3:                        three.              (line  547)
-* BeginArrow:                            draw.               (line   26)
-* BeginArrow3:                           three.              (line  547)
-* BeginBar:                              draw.               (line   19)
-* BeginBar3:                             three.              (line  547)
-* BeginDotMargin:                        draw.               (line   42)
-* BeginDotMargin3:                       three.              (line  563)
-* BeginMargin:                           draw.               (line   42)
-* BeginMargin3:                          three.              (line  563)
-* BeginPenMargin:                        draw.               (line   42)
-* BeginPenMargin2:                       three.              (line  563)
-* BeginPenMargin3:                       three.              (line  563)
-* BeginPoint:                            label.              (line   55)
-* Bessel:                                Mathematical functions.
-                                                             (line   48)
-* bevel:                                 flowchart.          (line   72)
-* beveljoin:                             Pens.               (line  145)
-* Bezier curves:                         Bezier curves.      (line    6)
-* Bezier patch:                          three.              (line   88)
-* Bezier triangle:                       three.              (line   88)
-* bezulate:                              three.              (line  106)
-* Bi:                                    Mathematical functions.
-                                                             (line   48)
-* Billboard:                             three.              (line  454)
-* binary:                                Files.              (line   76)
-* binary format:                         Files.              (line   76)
-* binary operators:                      Arithmetic & logical.
-                                                             (line    6)
-* binarytree:                            binarytree.         (line    6)
-* Bi_deriv:                              Mathematical functions.
-                                                             (line   48)
-* black stripes:                         three.              (line  195)
-* Blank:                                 draw.               (line   26)
-* block.bottom:                          flowchart.          (line   19)
-* block.bottomleft:                      flowchart.          (line   19)
-* block.bottomright:                     flowchart.          (line   19)
-* block.center:                          flowchart.          (line   24)
-* block.draw:                            flowchart.          (line   29)
-* block.left:                            flowchart.          (line   19)
-* block.position:                        flowchart.          (line   23)
-* block.right:                           flowchart.          (line   19)
-* block.top:                             flowchart.          (line   19)
-* block.topleft:                         flowchart.          (line   19)
-* block.topright:                        flowchart.          (line   19)
-* bool:                                  Data types.         (line   14)
-* bool3:                                 Data types.         (line   25)
-* boolean operators:                     Arithmetic & logical.
-                                                             (line    6)
-* Bottom:                                graph.              (line  132)
-* BottomTop:                             graph.              (line  138)
-* BottomView:                            three.              (line  370)
-* bounding box:                          Frames and pictures.
-                                                             (line  180)
-* Bounds:                                graph3.             (line   21)
-* box:                                   Frames and pictures.
-                                                             (line   25)
-* box <1>:                               Frames and pictures.
-                                                             (line  130)
-* box <2>:                               three.              (line  289)
-* box <3>:                               three.              (line  291)
-* bp:                                    Drawing in batch mode.
-                                                             (line   23)
-* brace:                                 Paths and guides.   (line   51)
-* break:                                 Programming.        (line   48)
-* breakpoints:                           Debugger.           (line   21)
-* brick:                                 Pens.               (line  265)
-* broken axis:                           graph.              (line  802)
-* bug reports:                           Help.               (line   19)
-* buildcycle:                            Paths and guides.   (line  270)
-* Button-1:                              GUI.                (line    6)
-* Button-2:                              GUI.                (line    6)
-* BWRainbow:                             palette.            (line   15)
-* BWRainbow2:                            palette.            (line   18)
-* C string:                              Data types.         (line  216)
-* CAD:                                   CAD.                (line    6)
-* calculateTransform:                    Frames and pictures.
-                                                             (line  118)
-* camera:                                three.              (line  336)
-* casts:                                 Casts.              (line    6)
-* cbrt:                                  Mathematical functions.
-                                                             (line    6)
-* cd:                                    Files.              (line   25)
-* ceil:                                  Mathematical functions.
-                                                             (line   26)
-* Center:                                label.              (line   60)
-* center:                                three.              (line  319)
-* checker:                               Pens.               (line  265)
-* Chinese:                               unicode.            (line   12)
-* choose:                                Mathematical functions.
-                                                             (line   39)
-* Ci:                                    Mathematical functions.
-                                                             (line   48)
-* circle:                                Paths and guides.   (line   10)
-* Circle:                                Paths and guides.   (line   18)
-* circle <1>:                            three.              (line  263)
-* circle <2>:                            flowchart.          (line   61)
-* circlebarframe:                        markers.            (line   18)
-* CJK:                                   unicode.            (line   12)
-* clamped:                               graph.              (line   36)
-* clear:                                 Files.              (line   93)
-* clear <1>:                             Debugger.           (line   23)
-* clip:                                  clip.               (line    6)
-* CLZ:                                   Arithmetic & logical.
-                                                             (line   68)
-* cm:                                    Figure size.        (line   18)
-* cmd:                                   Configuring.        (line   31)
-* cmyk:                                  Pens.               (line   34)
-* colatitude:                            Data types.         (line  158)
-* color:                                 Pens.               (line   23)
-* coloredNodes:                          tube.               (line   25)
-* coloredpath:                           tube.               (line   18)
-* coloredSegments:                       tube.               (line   25)
-* colorless:                             Pens.               (line   53)
-* colors:                                Pens.               (line   50)
-* comma:                                 Files.              (line   61)
-* comma-separated-value mode:            Arrays.             (line  354)
-* command-line options:                  Configuring.        (line   83)
-* command-line options <1>:              Options.            (line    6)
-* comment character:                     Files.              (line   16)
-* compass directions:                    Labels.             (line   18)
-* Compiling from UNIX source:            Compiling from UNIX source.
-                                                             (line    6)
-* complement:                            Arrays.             (line  140)
-* concat:                                Arrays.             (line  170)
-* conditional:                           Programming.        (line   26)
-* conditional <1>:                       Arithmetic & logical.
-                                                             (line   61)
-* config:                                Configuring.        (line   64)
-* config <1>:                            Options.            (line  117)
-* configuration file:                    Configuring.        (line   21)
-* configuration file <1>:                Options.            (line  117)
-* configuring:                           Configuring.        (line    6)
-* conj:                                  Data types.         (line   62)
-* constructors:                          Structures.         (line   91)
-* context:                               Options.            (line  146)
-* continue:                              Programming.        (line   48)
-* continue <1>:                          Debugger.           (line   31)
-* contour:                               contour.            (line    6)
-* contour3:                              contour3.           (line    6)
-* controls:                              Bezier curves.      (line   45)
-* controls <1>:                          three.              (line    6)
-* controlSpecifier:                      Paths and guides.   (line  396)
-* convert:                               Configuring.        (line   64)
-* convert <1>:                           Files.              (line  155)
-* convert <2>:                           animation.          (line    6)
-* convert <3>:                           Options.            (line  146)
-* convertOptions:                        Options.            (line  132)
-* Coons shading:                         fill.               (line   77)
-* copy:                                  Arrays.             (line  167)
-* cos:                                   Mathematical functions.
-                                                             (line    6)
-* Cos:                                   Mathematical functions.
-                                                             (line   20)
-* cosh:                                  Mathematical functions.
-                                                             (line    6)
-* cputime:                               Structures.         (line  169)
-* crop:                                  graph.              (line  640)
-* cropping graphs:                       graph.              (line  640)
-* cross:                                 Data types.         (line  106)
-* cross <1>:                             Data types.         (line  196)
-* cross <2>:                             graph.              (line  481)
-* crossframe:                            markers.            (line   22)
-* crosshatch:                            Pens.               (line  282)
-* csv:                                   Arrays.             (line  354)
-* CTZ:                                   Arithmetic & logical.
-                                                             (line   68)
-* cubicroots:                            Arrays.             (line  311)
-* curl:                                  Bezier curves.      (line   66)
-* curl <1>:                              three.              (line    6)
-* curlSpecifier:                         Paths and guides.   (line  408)
-* currentpen:                            Pens.               (line    6)
-* currentprojection:                     three.              (line  367)
-* curve:                                 slopefield.         (line   20)
-* custom axis types:                     graph.              (line  141)
-* custom mark routine:                   graph.              (line  578)
-* custom tick locations:                 graph.              (line  233)
-* cut:                                   Paths and guides.   (line  251)
-* cycle:                                 Figure size.        (line   29)
-* cycle <1>:                             Paths.              (line   16)
-* cycle <2>:                             three.              (line    6)
-* cyclic:                                Paths and guides.   (line   85)
-* cyclic <1>:                            Paths and guides.   (line  376)
-* cyclic <2>:                            Arrays.             (line   39)
-* cyclic <3>:                            three.              (line  484)
-* Cyrillic:                              unicode.            (line    7)
-* dashdotted:                            Pens.               (line   98)
-* dashed:                                Pens.               (line   98)
-* data types:                            Data types.         (line    6)
-* date:                                  Data types.         (line  320)
-* Debian:                                UNIX binary distributions.
-                                                             (line   19)
-* debugger:                              Debugger.           (line    6)
-* declaration:                           Programming.        (line   26)
-* deconstruct:                           GUI usage.          (line    6)
-* default arguments:                     Default arguments.  (line    6)
-* defaultformat:                         graph.              (line  175)
-* DefaultHead:                           draw.               (line   26)
-* DefaultHead3:                          three.              (line  547)
-* defaultpen:                            Pens.               (line   45)
-* defaultpen <1>:                        Pens.               (line  118)
-* defaultpen <2>:                        Pens.               (line  123)
-* defaultpen <3>:                        Pens.               (line  135)
-* defaultpen <4>:                        Pens.               (line  188)
-* defaultpen <5>:                        Pens.               (line  343)
-* defaultpen <6>:                        Pens.               (line  367)
-* defaultrender:                         three.              (line   46)
-* deferred drawing:                      simplex.            (line    6)
-* degrees:                               Data types.         (line   78)
-* degrees <1>:                           Mathematical functions.
-                                                             (line   17)
-* Degrees:                               Mathematical functions.
-                                                             (line   17)
-* delete:                                Files.              (line  150)
-* delete <1>:                            Arrays.             (line   39)
-* description:                           Description.        (line    6)
-* diagonal:                              Arrays.             (line  296)
-* diamond:                               flowchart.          (line   54)
-* dimension:                             Arrays.             (line  359)
-* dir:                                   Search paths.       (line    9)
-* dir <1>:                               Data types.         (line   90)
-* dir <2>:                               Data types.         (line  180)
-* dir <3>:                               Paths and guides.   (line  109)
-* dir <4>:                               three.              (line  484)
-* direction specifier:                   Bezier curves.      (line    6)
-* directory:                             Files.              (line   25)
-* dirSpecifier:                          Paths and guides.   (line  390)
-* dirtime:                               Paths and guides.   (line  166)
-* display:                               Configuring.        (line   64)
-* do:                                    Programming.        (line   48)
-* DOSendl:                               Files.              (line   61)
-* DOSnewl:                               Files.              (line   61)
-* dot:                                   draw.               (line   82)
-* dot <1>:                               Data types.         (line  103)
-* dot <2>:                               Data types.         (line  193)
-* dot <3>:                               Arrays.             (line  251)
-* dot <4>:                               Arrays.             (line  254)
-* DotMargin:                             draw.               (line   42)
-* DotMargin3:                            three.              (line  563)
-* DotMargins:                            draw.               (line   42)
-* DotMargins3:                           three.              (line  563)
-* dotted:                                Pens.               (line   98)
-* double deferred drawing:               three.              (line  241)
-* double precision:                      Files.              (line   76)
-* draw:                                  Drawing commands.   (line   31)
-* draw <1>:                              draw.               (line    6)
-* Draw:                                  draw.               (line   26)
-* draw <2>:                              draw.               (line  109)
-* Draw <1>:                              Frames and pictures.
-                                                             (line  160)
-* draw <3>:                              three.              (line  114)
-* drawing commands:                      Drawing commands.   (line    6)
-* drawline:                              math.               (line    9)
-* drawtree:                              drawtree.           (line    6)
-* dvips:                                 Configuring.        (line   64)
-* dvipsOptions:                          Options.            (line  132)
-* dvisvgm:                               Configuring.        (line   64)
-* dvisvgm <1>:                           Options.            (line  151)
-* dvisvgmOptions:                        Options.            (line  132)
-* E:                                     Labels.             (line   18)
-* E <1>:                                 Mathematical functions.
-                                                             (line   48)
-* Editing modes:                         Editing modes.      (line    6)
-* Ei:                                    Mathematical functions.
-                                                             (line   48)
-* ellipse:                               Paths and guides.   (line   45)
-* ellipse <1>:                           Frames and pictures.
-                                                             (line   25)
-* elliptic functions:                    Mathematical functions.
-                                                             (line   48)
-* else:                                  Programming.        (line   26)
-* emacs:                                 Editing modes.      (line    6)
-* embed:                                 embed.              (line    6)
-* Embedded:                              three.              (line  454)
-* empty:                                 Frames and pictures.
-                                                             (line    7)
-* EndArcArrow:                           draw.               (line   26)
-* EndArcArrow3:                          three.              (line  547)
-* EndArrow:                              draw.               (line   26)
-* EndArrow3:                             three.              (line  547)
-* EndBar:                                draw.               (line   19)
-* EndBar3:                               three.              (line  547)
-* EndDotMargin:                          draw.               (line   42)
-* EndDotMargin3:                         three.              (line  563)
-* endl:                                  Files.              (line   61)
-* EndMargin:                             draw.               (line   42)
-* EndMargin3:                            three.              (line  563)
-* EndPenMargin:                          draw.               (line   42)
-* EndPenMargin2:                         three.              (line  563)
-* EndPenMargin3:                         three.              (line  563)
-* EndPoint:                              label.              (line   55)
-* envelope:                              Frames and pictures.
-                                                             (line   25)
-* environment variables:                 Configuring.        (line   87)
-* eof:                                   Files.              (line   93)
-* eof <1>:                               Arrays.             (line  336)
-* eol:                                   Files.              (line   93)
-* eol <1>:                               Arrays.             (line  336)
-* EPS:                                   label.              (line   78)
-* EPS <1>:                               Options.            (line  146)
-* erase:                                 Drawing in interactive mode.
-                                                             (line   11)
-* erase <1>:                             Data types.         (line  256)
-* erase <2>:                             Frames and pictures.
-                                                             (line    7)
-* erase <3>:                             Frames and pictures.
-                                                             (line  281)
-* erf:                                   Mathematical functions.
-                                                             (line    6)
-* erfc:                                  Mathematical functions.
-                                                             (line    6)
-* error:                                 Files.              (line   16)
-* error <1>:                             Files.              (line   93)
-* error bars:                            graph.              (line  532)
-* errorbars:                             graph.              (line  481)
-* eval:                                  Import.             (line   97)
-* eval <1>:                              Import.             (line  107)
-* evenodd:                               Paths.              (line   37)
-* evenodd <1>:                           Pens.               (line  160)
-* exit:                                  Data types.         (line  372)
-* exit <1>:                              Interactive mode.   (line   54)
-* exit <2>:                              Debugger.           (line   56)
-* exp:                                   Mathematical functions.
-                                                             (line    6)
-* expi:                                  Data types.         (line   86)
-* expi <1>:                              Data types.         (line  176)
-* explicit:                              Casts.              (line    6)
-* explicit casts:                        Casts.              (line   21)
-* expm1:                                 Mathematical functions.
-                                                             (line    6)
-* exponential integral:                  Mathematical functions.
-                                                             (line   48)
-* extendcap:                             Pens.               (line  135)
-* extension:                             Paths and guides.   (line  246)
-* extension <1>:                         MetaPost.           (line   10)
-* external:                              embed.              (line   11)
-* extrude:                               three.              (line  478)
-* F:                                     Mathematical functions.
-                                                             (line   48)
-* fabs:                                  Mathematical functions.
-                                                             (line    6)
-* face:                                  three.              (line  588)
-* factorial:                             Mathematical functions.
-                                                             (line   39)
-* Fedora:                                UNIX binary distributions.
-                                                             (line   15)
-* feynman:                               feynman.            (line    6)
-* fft:                                   Arrays.             (line  237)
-* fft <1>:                               math.               (line   26)
-* FFTW:                                  Compiling from UNIX source.
-                                                             (line   63)
-* file:                                  Files.              (line    6)
-* file <1>:                              Debugger.           (line   44)
-* Fill:                                  draw.               (line   26)
-* fill:                                  draw.               (line  114)
-* fill <1>:                              fill.               (line    6)
-* fill <2>:                              fill.               (line   17)
-* Fill <1>:                              Frames and pictures.
-                                                             (line  146)
-* FillDraw:                              draw.               (line   26)
-* filldraw:                              fill.               (line   11)
-* FillDraw <1>:                          Frames and pictures.
-                                                             (line  136)
-* filloutside:                           fill.               (line   27)
-* fillrule:                              Pens.               (line  160)
-* find:                                  Data types.         (line  241)
-* find <1>:                              Arrays.             (line  149)
-* findall:                               Arrays.             (line  154)
-* firstcut:                              Paths and guides.   (line  262)
-* fit:                                   Frames and pictures.
-                                                             (line  113)
-* fit3:                                  three.              (line  254)
-* fixedscaling:                          Frames and pictures.
-                                                             (line   81)
-* floor:                                 Mathematical functions.
-                                                             (line   26)
-* flowchart:                             flowchart.          (line    6)
-* flush:                                 Files.              (line   61)
-* flush <1>:                             Files.              (line   93)
-* fmod:                                  Mathematical functions.
-                                                             (line    6)
-* font:                                  Pens.               (line  202)
-* font command:                          Pens.               (line  202)
-* fontcommand:                           Pens.               (line  217)
-* fontsize:                              Pens.               (line  188)
-* for:                                   Programming.        (line   26)
-* format:                                Data types.         (line  289)
-* format <1>:                            Options.            (line  146)
-* forum:                                 Help.               (line    6)
-* frame:                                 Frames and pictures.
-                                                             (line    7)
-* from:                                  Import.             (line   16)
-* FrontView:                             three.              (line  370)
-* function declarations:                 Functions.          (line   79)
-* Function shading:                      fill.               (line   99)
-* function shading:                      fill.               (line   99)
-* functions:                             Functions.          (line    6)
-* functions <1>:                         Mathematical functions.
-                                                             (line    6)
-* functionshade:                         fill.               (line   99)
-* gamma:                                 Mathematical functions.
-                                                             (line    6)
-* Gaussrand:                             Mathematical functions.
-                                                             (line   39)
-* geometry:                              geometry.           (line    6)
-* getc:                                  Files.              (line   30)
-* getpair:                               Files.              (line  118)
-* getreal:                               Files.              (line  118)
-* getstring:                             Files.              (line  118)
-* gettriple:                             Files.              (line  118)
-* git:                                   Git.                (line    6)
-* glOptions:                             three.              (line  195)
-* glOptions <1>:                         Options.            (line  132)
-* GNU Scientific Library:                Mathematical functions.
-                                                             (line   48)
-* gouraudshade:                          fill.               (line   62)
-* Gradient:                              palette.            (line   25)
-* gradient shading:                      fill.               (line   32)
-* graph:                                 graph.              (line    6)
-* graph3:                                graph3.             (line    6)
-* graphic:                               label.              (line   78)
-* graphical user interface:              GUI.                (line    6)
-* gray:                                  Pens.               (line   25)
-* grayscale:                             Pens.               (line   25)
-* Grayscale:                             palette.            (line    9)
-* grid:                                  Pens.               (line  265)
-* grid <1>:                              graph.              (line  747)
-* grid3:                                 grid3.              (line    6)
-* gs:                                    Configuring.        (line    6)
-* GSL:                                   Compiling from UNIX source.
-                                                             (line   63)
-* gsl:                                   Mathematical functions.
-                                                             (line   48)
-* gsOptions:                             Options.            (line  132)
-* GUI:                                   GUI.                (line    6)
-* GUI installation:                      GUI installation.   (line    6)
-* GUI usage:                             GUI usage.          (line    6)
-* guide:                                 Paths and guides.   (line  314)
-* guide3:                                three.              (line    6)
-* hatch:                                 Pens.               (line  282)
-* height:                                LaTeX usage.        (line   50)
-* help:                                  Interactive mode.   (line   42)
-* help <1>:                              Help.               (line    6)
-* help <2>:                              Debugger.           (line   30)
-* Hermite:                               graph.              (line   36)
-* Hermite(splinetype splinetype:         graph.              (line   36)
-* hex:                                   Data types.         (line  305)
-* hex <1>:                               Pens.               (line   60)
-* hexidecimal:                           Data types.         (line  305)
-* hexidecimal <1>:                       Pens.               (line   58)
-* hidden surface removal:                three.              (line  588)
-* histogram:                             Mathematical functions.
-                                                             (line   39)
-* history:                               Files.              (line  143)
-* history <1>:                           Interactive mode.   (line   54)
-* historylines:                          Interactive mode.   (line   57)
-* HookHead:                              draw.               (line   26)
-* HookHead3:                             three.              (line  547)
-* Horizontal:                            flowchart.          (line   77)
-* hyperrefOptions:                       Options.            (line  132)
-* hypot:                                 Mathematical functions.
-                                                             (line    6)
-* I:                                     Mathematical functions.
-                                                             (line   48)
-* iconic:                                three.              (line  195)
-* identity:                              Transforms.         (line   24)
-* identity <1>:                          Mathematical functions.
-                                                             (line    6)
-* identity <2>:                          Arrays.             (line  293)
-* identity4:                             three.              (line  422)
-* if:                                    Programming.        (line   26)
-* IgnoreAspect:                          Frames and pictures.
-                                                             (line   63)
-* image:                                 palette.            (line   33)
-* image <1>:                             palette.            (line   58)
-* ImageMagick:                           Configuring.        (line   64)
-* ImageMagick <1>:                       animation.          (line    6)
-* ImageMagick <2>:                       Options.            (line  146)
-* images:                                palette.            (line    6)
-* implicit casts:                        Casts.              (line    6)
-* implicit linear solver:                MetaPost.           (line   10)
-* implicit scaling:                      Implicit scaling.   (line    6)
-* implicitsurface:                       smoothcontour3.     (line   16)
-* import:                                Import.             (line   45)
-* inches:                                Figure size.        (line   18)
-* incircle:                              Data types.         (line  120)
-* include:                               Import.             (line  126)
-* including images:                      label.              (line   78)
-* increasing:                            math.               (line   59)
-* inf:                                   Data types.         (line   35)
-* inheritance:                           Structures.         (line  181)
-* initialized:                           Arrays.             (line   39)
-* initializers:                          Variable initializers.
-                                                             (line    6)
-* inline:                                LaTeX usage.        (line   50)
-* InOutTicks:                            graph3.             (line   35)
-* input:                                 Files.              (line   10)
-* input <1>:                             Files.              (line   12)
-* input <2>:                             Interactive mode.   (line   45)
-* input <3>:                             Interactive mode.   (line   49)
-* insert:                                Data types.         (line  252)
-* insert <1>:                            Arrays.             (line   39)
-* inside:                                Paths and guides.   (line  294)
-* inside <1>:                            Paths and guides.   (line  299)
-* inside <2>:                            Paths and guides.   (line  305)
-* insphere:                              three.              (line  510)
-* inst:                                  Debugger.           (line   35)
-* installation:                          Installation.       (line    6)
-* int:                                   Data types.         (line   30)
-* integer division:                      Arithmetic & logical.
-                                                             (line   20)
-* interactive mode:                      Drawing in interactive mode.
-                                                             (line    6)
-* interactive mode <1>:                  Interactive mode.   (line    6)
-* interior:                              Paths and guides.   (line  290)
-* international characters:              unicode.            (line    6)
-* interp:                                Arithmetic & logical.
-                                                             (line   64)
-* interpolate:                           interpolate.        (line    6)
-* intersect:                             Paths and guides.   (line  195)
-* intersect <1>:                         math.               (line   13)
-* intersect <2>:                         three.              (line  484)
-* intersectionpoint:                     Paths and guides.   (line  238)
-* intersectionpoint <1>:                 math.               (line   17)
-* intersectionpoint <2>:                 three.              (line  484)
-* intersectionpoints:                    Paths and guides.   (line  242)
-* intersectionpoints <1>:                three.              (line  484)
-* intersectionpoints <2>:                three.              (line  497)
-* intersections:                         Paths and guides.   (line  206)
-* intersections <1>:                     Paths and guides.   (line  213)
-* intersections <2>:                     three.              (line  484)
-* intersections <3>:                     three.              (line  490)
-* InTicks:                               graph3.             (line   35)
-* intMax:                                Data types.         (line   30)
-* intMin:                                Data types.         (line   30)
-* inverse:                               Transforms.         (line   16)
-* inverse <1>:                           Arrays.             (line  299)
-* invert:                                three.              (line  412)
-* invisible:                             Pens.               (line   39)
-* isnan:                                 Data types.         (line   35)
-* i_scaled:                              Mathematical functions.
-                                                             (line   48)
-* J:                                     Mathematical functions.
-                                                             (line    6)
-* J <1>:                                 Mathematical functions.
-                                                             (line   48)
-* Japanese:                              unicode.            (line   12)
-* K:                                     Mathematical functions.
-                                                             (line   48)
-* Kate:                                  Editing modes.      (line   48)
-* KDE editor:                            Editing modes.      (line   48)
-* keepAspect:                            Frames and pictures.
-                                                             (line   59)
-* keepAspect <1>:                        Frames and pictures.
-                                                             (line   63)
-* keepAspect <2>:                        LaTeX usage.        (line   50)
-* keyboard bindings::                    three.              (line  173)
-* keys:                                  Arrays.             (line   39)
-* keyword:                               Named arguments.    (line   37)
-* keyword-only:                          Named arguments.    (line   37)
-* keywords:                              Named arguments.    (line    6)
-* Korean:                                unicode.            (line   12)
-* k_scaled:                              Mathematical functions.
-                                                             (line   48)
-* label:                                 Labels.             (line    6)
-* Label:                                 draw.               (line   97)
-* label <1>:                             label.              (line    6)
-* Label <1>:                             label.              (line   14)
-* Label <2>:                             graph.              (line  330)
-* label <2>:                             three.              (line  448)
-* labelpath:                             labelpath.          (line    6)
-* labelpath3:                            labelpath3.         (line    6)
-* labelx:                                graph.              (line  330)
-* labely:                                graph.              (line  330)
-* Landscape:                             Frames and pictures.
-                                                             (line  104)
-* lastcut:                               Paths and guides.   (line  266)
-* lasy-mode:                             Editing modes.      (line    6)
-* latex:                                 Options.            (line  146)
-* LaTeX fonts:                           Pens.               (line  202)
-* LaTeX usage:                           LaTeX usage.        (line    6)
-* latexmk:                               LaTeX usage.        (line   30)
-* latin1:                                latin1.             (line    6)
-* latitude:                              Data types.         (line  163)
-* latticeshade:                          fill.               (line   32)
-* layer:                                 Drawing commands.   (line   16)
-* leastsquares:                          stats.              (line    6)
-* leastsquares <1>:                      graph.              (line  930)
-* Left:                                  graph.              (line  269)
-* LeftRight:                             graph.              (line  275)
-* LeftSide:                              label.              (line   60)
-* LeftTicks:                             graph.              (line  160)
-* LeftTicks <1>:                         graph.              (line  233)
-* LeftView:                              three.              (line  370)
-* legend:                                Drawing commands.   (line   31)
-* legend <1>:                            draw.               (line   64)
-* legend <2>:                            graph.              (line  425)
-* Legendre:                              Mathematical functions.
-                                                             (line   48)
-* length:                                Data types.         (line   65)
-* length <1>:                            Data types.         (line  144)
-* length <2>:                            Data types.         (line  238)
-* length <3>:                            Paths and guides.   (line   76)
-* length <4>:                            Paths and guides.   (line  373)
-* length <5>:                            Arrays.             (line   39)
-* length <6>:                            three.              (line  484)
-* letter:                                Configuring.        (line   58)
-* lexorder:                              math.               (line   67)
-* lexorder <1>:                          math.               (line   70)
-* libgs:                                 Configuring.        (line   64)
-* libgs <1>:                             Options.            (line  151)
-* libm routines:                         Mathematical functions.
-                                                             (line    6)
-* libsigsegv:                            Functions.          (line  100)
-* libsigsegv <1>:                        Help.               (line   27)
-* limits:                                graph.              (line  640)
-* line:                                  Arrays.             (line  336)
-* line <1>:                              Arrays.             (line  340)
-* line mode:                             Arrays.             (line  336)
-* Linear:                                graph.              (line  691)
-* linecap:                               Pens.               (line  135)
-* linejoin:                              Pens.               (line  145)
-* lineskip:                              Pens.               (line  188)
-* linetype:                              Pens.               (line  119)
-* linewidth:                             Pens.               (line  123)
-* locale:                                Data types.         (line  315)
-* log:                                   Mathematical functions.
-                                                             (line    6)
-* Log:                                   graph.              (line  691)
-* log-log graph:                         graph.              (line  725)
-* log10:                                 Mathematical functions.
-                                                             (line    6)
-* log1p:                                 Mathematical functions.
-                                                             (line    6)
-* log2 graph:                            graph.              (line  781)
-* logarithmic graph:                     graph.              (line  725)
-* logical operators:                     Arithmetic & logical.
-                                                             (line    6)
-* longdashdotted:                        Pens.               (line   98)
-* longdashed:                            Pens.               (line   98)
-* longitude:                             Data types.         (line  168)
-* loop:                                  Programming.        (line   26)
-* lualatex:                              Options.            (line  146)
-* luatex:                                Options.            (line  146)
-* MacOS X binary distributions:          MacOS X binary distributions.
-                                                             (line    6)
-* makepen:                               Pens.               (line  318)
-* map:                                   Arrays.             (line  131)
-* Margin:                                draw.               (line   42)
-* Margin <1>:                            draw.               (line   42)
-* Margin3:                               three.              (line  563)
-* Margin3 <1>:                           three.              (line  563)
-* Margins:                               draw.               (line   42)
-* margins:                               three.              (line  247)
-* Margins3:                              three.              (line  563)
-* mark:                                  graph.              (line  481)
-* markangle:                             markers.            (line   35)
-* marker:                                graph.              (line  481)
-* markers:                               markers.            (line    6)
-* marknodes:                             graph.              (line  481)
-* markuniform:                           graph.              (line  481)
-* mask:                                  Data types.         (line   35)
-* math:                                  math.               (line    6)
-* mathematical functions:                Mathematical functions.
-                                                             (line    6)
-* max:                                   Paths and guides.   (line  279)
-* max <1>:                               Frames and pictures.
-                                                             (line    7)
-* max <2>:                               Arrays.             (line  218)
-* max <3>:                               Arrays.             (line  228)
-* max <4>:                               three.              (line  484)
-* maxbound:                              Data types.         (line  134)
-* maxbound <1>:                          Data types.         (line  204)
-* maxtile:                               three.              (line  195)
-* maxtimes:                              Paths and guides.   (line  233)
-* maxviewport:                           three.              (line  195)
-* MetaPost:                              MetaPost.           (line    6)
-* MetaPost ... :                         Bezier curves.      (line   70)
-* MetaPost cutafter:                     Paths and guides.   (line  267)
-* MetaPost cutbefore:                    Paths and guides.   (line  263)
-* MetaPost pickup:                       Pens.               (line    6)
-* MetaPost whatever:                     MetaPost.           (line   10)
-* Microsoft Windows:                     Microsoft Windows.  (line    6)
-* MidArcArrow:                           draw.               (line   26)
-* MidArcArrow3:                          three.              (line  547)
-* MidArrow:                              draw.               (line   26)
-* MidArrow3:                             three.              (line  547)
-* MidPoint:                              label.              (line   55)
-* midpoint:                              Paths and guides.   (line  180)
-* min:                                   Paths and guides.   (line  275)
-* min <1>:                               Frames and pictures.
-                                                             (line    7)
-* min <2>:                               Arrays.             (line  213)
-* min <3>:                               Arrays.             (line  223)
-* min <4>:                               three.              (line  484)
-* minbound:                              Data types.         (line  131)
-* minbound <1>:                          Data types.         (line  201)
-* minipage:                              label.              (line  116)
-* mintimes:                              Paths and guides.   (line  228)
-* miterjoin:                             Pens.               (line  145)
-* miterlimit:                            Pens.               (line  155)
-* mktemp:                                Files.              (line   44)
-* mm:                                    Figure size.        (line   18)
-* mode:                                  Files.              (line   76)
-* mode <1>:                              Files.              (line   89)
-* monotonic:                             graph.              (line   36)
-* mouse:                                 GUI.                (line    6)
-* mouse bindings:                        three.              (line  151)
-* Move:                                  Pens.               (line  355)
-* MoveQuiet:                             Pens.               (line  361)
-* multisample:                           three.              (line  142)
-* N:                                     Labels.             (line   18)
-* name:                                  Files.              (line   89)
-* named arguments:                       Named arguments.    (line    6)
-* nan:                                   Data types.         (line   35)
-* natural:                               graph.              (line   36)
-* new:                                   Structures.         (line    6)
-* new <1>:                               Arrays.             (line  100)
-* new <2>:                               Arrays.             (line  103)
-* newframe:                              Frames and pictures.
-                                                             (line    7)
-* newl:                                  Files.              (line   61)
-* newton:                                Mathematical functions.
-                                                             (line   66)
-* newton <1>:                            Mathematical functions.
-                                                             (line   73)
-* next:                                  Debugger.           (line   41)
-* NFSS:                                  Pens.               (line  202)
-* nobasealign:                           Pens.               (line  177)
-* NoFill:                                draw.               (line   26)
-* NoFill <1>:                            Frames and pictures.
-                                                             (line  154)
-* NoMargin:                              draw.               (line   42)
-* NoMargin3:                             three.              (line  563)
-* None:                                  draw.               (line   19)
-* None <1>:                              draw.               (line   26)
-* none:                                  Files.              (line   61)
-* normal:                                three.              (line  470)
-* nosafe:                                Options.            (line  170)
-* NOT:                                   Arithmetic & logical.
-                                                             (line   68)
-* notaknot:                              graph.              (line   36)
-* NoTicks:                               graph.              (line  160)
-* NoTicks3:                              graph3.             (line   35)
-* null:                                  Structures.         (line    6)
-* nullpen:                               label.              (line   14)
-* nullpen <1>:                           Frames and pictures.
-                                                             (line  140)
-* nullpen <2>:                           Frames and pictures.
-                                                             (line  149)
-* NURBS:                                 three.              (line  346)
-* O:                                     three.              (line  259)
-* obj:                                   obj.                (line    6)
-* oblique:                               three.              (line  302)
-* obliqueX:                              three.              (line  309)
-* obliqueY:                              three.              (line  315)
-* obliqueZ:                              three.              (line  302)
-* ode:                                   ode.                (line    6)
-* offset:                                Pens.               (line  119)
-* offset <1>:                            Options.            (line  175)
-* OmitTick:                              graph.              (line  223)
-* OmitTickInterval:                      graph.              (line  223)
-* OmitTickIntervals:                     graph.              (line  223)
-* opacity:                               Pens.               (line  233)
-* open:                                  Files.              (line   12)
-* OpenGL:                                three.              (line  142)
-* operator:                              User-defined operators.
-                                                             (line    6)
-* operator +(...string[] a).:            Data types.         (line  283)
-* operator --:                           graph.              (line   30)
-* operator ..:                           graph.              (line   33)
-* operator answer:                       Interactive mode.   (line   35)
-* operator cast:                         Casts.              (line   38)
-* operator ecast:                        Casts.              (line   65)
-* operator init:                         Variable initializers.
-                                                             (line    6)
-* operator init <1>:                     Structures.         (line  134)
-* operators:                             Operators.          (line    6)
-* options:                               Options.            (line    6)
-* OR:                                    Arithmetic & logical.
-                                                             (line   68)
-* orient:                                Data types.         (line  108)
-* orient <1>:                            three.              (line  501)
-* orientation:                           Frames and pictures.
-                                                             (line  104)
-* orthographic:                          three.              (line  319)
-* outformat:                             three.              (line  142)
-* outprefix:                             Frames and pictures.
-                                                             (line   91)
-* output:                                Files.              (line   36)
-* output <1>:                            Options.            (line  146)
-* OutTicks:                              graph3.             (line   35)
-* overloading functions:                 Functions.          (line   55)
-* overwrite:                             Pens.               (line  340)
-* P:                                     Mathematical functions.
-                                                             (line   48)
-* pack:                                  label.              (line  100)
-* packing:                               Rest arguments.     (line   30)
-* pair:                                  Figure size.        (line    6)
-* pair <1>:                              Data types.         (line   46)
-* pairs:                                 Arrays.             (line  233)
-* paperheight:                           Configuring.        (line   58)
-* papertype:                             Configuring.        (line   58)
-* paperwidth:                            Configuring.        (line   58)
-* parallelogram:                         flowchart.          (line   47)
-* parametric surface:                    graph3.             (line   99)
-* parametrized curve:                    graph.              (line  640)
-* partialsum:                            math.               (line   53)
-* partialsum <1>:                        math.               (line   56)
-* patch-dependent colors:                three.              (line   79)
-* path:                                  Paths.              (line    6)
-* path <1>:                              Paths and guides.   (line    7)
-* path <2>:                              three.              (line   42)
-* path <3>:                              flowchart.          (line   77)
-* path markers:                          graph.              (line  481)
-* path3:                                 three.              (line    6)
-* path3 <1>:                             three.              (line   42)
-* path[]:                                Paths.              (line   23)
-* patterns:                              Pens.               (line  251)
-* patterns <1>:                          patterns.           (line    6)
-* PDF:                                   Options.            (line  146)
-* pdflatex:                              Options.            (line  146)
-* pdfreloadOptions:                      Options.            (line  132)
-* pdfviewer:                             Configuring.        (line    6)
-* pdfviewerOptions:                      Options.            (line  132)
-* pen:                                   Pens.               (line    6)
-* PenMargin:                             draw.               (line   42)
-* PenMargin2:                            three.              (line  563)
-* PenMargin3:                            three.              (line  563)
-* PenMargins:                            draw.               (line   42)
-* PenMargins2:                           three.              (line  563)
-* PenMargins3:                           three.              (line  563)
-* periodic:                              graph.              (line   36)
-* perl:                                  LaTeX usage.        (line   30)
-* perpendicular:                         geometry.           (line    6)
-* perspective:                           three.              (line  346)
-* picture:                               Frames and pictures.
-                                                             (line   39)
-* picture alignment:                     Frames and pictures.
-                                                             (line  228)
-* piecewisestraight:                     Paths and guides.   (line   92)
-* pixel:                                 three.              (line  570)
-* Pl:                                    Mathematical functions.
-                                                             (line   48)
-* plain:                                 plain.              (line    6)
-* planar:                                three.              (line   88)
-* plane:                                 three.              (line  285)
-* planeproject:                          three.              (line  467)
-* point:                                 Paths and guides.   (line   95)
-* point <1>:                             Paths and guides.   (line  379)
-* point <2>:                             three.              (line  484)
-* polar:                                 Data types.         (line  148)
-* polargraph:                            graph.              (line   88)
-* polygon:                               graph.              (line  481)
-* pop:                                   Arrays.             (line   39)
-* Portrait:                              Frames and pictures.
-                                                             (line  104)
-* postcontrol:                           Paths and guides.   (line  146)
-* postcontrol <1>:                       three.              (line  484)
-* postfix operators:                     Self & prefix operators.
-                                                             (line   19)
-* postscript:                            Frames and pictures.
-                                                             (line  294)
-* PostScript fonts:                      Pens.               (line  220)
-* PostScript subpath:                    Paths.              (line   23)
-* pow10:                                 Mathematical functions.
-                                                             (line    6)
-* prc:                                   three.              (line  216)
-* precision:                             Files.              (line   93)
-* precontrol:                            Paths and guides.   (line  139)
-* precontrol <1>:                        three.              (line  484)
-* prefix operators:                      Self & prefix operators.
-                                                             (line    6)
-* private:                               Structures.         (line    6)
-* programming:                           Programming.        (line    6)
-* pstoedit:                              PostScript to Asymptote.
-                                                             (line    6)
-* psviewer:                              Configuring.        (line    6)
-* psviewerOptions:                       Options.            (line  132)
-* pt:                                    Figure size.        (line   18)
-* public:                                Structures.         (line    6)
-* push:                                  Arrays.             (line   39)
-* Python usage:                          Interactive mode.   (line   72)
-* quadraticroots:                        Arrays.             (line  302)
-* quadraticroots <1>:                    Arrays.             (line  307)
-* quarticroots:                          math.               (line   22)
-* quick reference:                       Description.        (line   81)
-* quit:                                  Drawing in interactive mode.
-                                                             (line   11)
-* quit <1>:                              Interactive mode.   (line   54)
-* quit <2>:                              Debugger.           (line   53)
-* quote:                                 Import.             (line  115)
-* quotient:                              Arithmetic & logical.
-                                                             (line    6)
-* radialshade:                           fill.               (line   51)
-* RadialShade:                           Frames and pictures.
-                                                             (line  172)
-* RadialShadeDraw:                       Frames and pictures.
-                                                             (line  176)
-* radians:                               Mathematical functions.
-                                                             (line   17)
-* radius:                                Paths and guides.   (line  135)
-* radius <1>:                            three.              (line  484)
-* Rainbow:                               palette.            (line   12)
-* rand:                                  Mathematical functions.
-                                                             (line   39)
-* randMax:                               Mathematical functions.
-                                                             (line   39)
-* read:                                  Arrays.             (line  376)
-* reading:                               Files.              (line   12)
-* reading string arrays:                 Arrays.             (line  346)
-* readline:                              Files.              (line  135)
-* real:                                  Data types.         (line   35)
-* realDigits:                            Data types.         (line   35)
-* realEpsilon:                           Data types.         (line   35)
-* realMax:                               Data types.         (line   35)
-* realMin:                               Data types.         (line   35)
-* realmult:                              Data types.         (line  100)
-* rectangle:                             flowchart.          (line   34)
-* recursion:                             Functions.          (line  100)
-* reference:                             Description.        (line   81)
-* reflect:                               Transforms.         (line   42)
-* Relative:                              label.              (line   50)
-* Relative <1>:                          label.              (line   60)
-* relpoint:                              Paths and guides.   (line  176)
-* reltime:                               Paths and guides.   (line  172)
-* remainder:                             Mathematical functions.
-                                                             (line    6)
-* rename:                                Files.              (line  152)
-* render:                                three.              (line   46)
-* render <1>:                            three.              (line  142)
-* render <2>:                            Options.            (line  146)
-* replace:                               Data types.         (line  269)
-* resetdefaultpen:                       Pens.               (line  367)
-* rest arguments:                        Rest arguments.     (line    6)
-* restore:                               Frames and pictures.
-                                                             (line  288)
-* restricted:                            Structures.         (line    6)
-* return:                                Debugger.           (line   47)
-* reverse:                               Data types.         (line  265)
-* reverse <1>:                           Paths and guides.   (line  183)
-* reverse <2>:                           Paths and guides.   (line  382)
-* reverse <3>:                           Arrays.             (line  136)
-* reverse <4>:                           three.              (line  484)
-* rewind:                                Files.              (line   93)
-* rfind:                                 Data types.         (line  246)
-* rgb:                                   Pens.               (line   30)
-* rgb <1>:                               Pens.               (line   58)
-* Riemann zeta function:                 Mathematical functions.
-                                                             (line   48)
-* Right:                                 graph.              (line  272)
-* RightSide:                             label.              (line   60)
-* RightTicks:                            graph.              (line  160)
-* RightTicks <1>:                        graph.              (line  233)
-* RightView:                             three.              (line  370)
-* Rotate:                                label.              (line   36)
-* rotate:                                three.              (line  438)
-* Rotate(pair z):                        label.              (line   39)
-* round:                                 Mathematical functions.
-                                                             (line   26)
-* roundcap:                              Pens.               (line  135)
-* roundedpath:                           roundedpath.        (line    6)
-* roundjoin:                             Pens.               (line  145)
-* roundrectangle:                        flowchart.          (line   66)
-* RPM:                                   UNIX binary distributions.
-                                                             (line    6)
-* runtime imports:                       Import.             (line   97)
-* Russian:                               unicode.            (line    7)
-* S:                                     Labels.             (line   18)
-* safe:                                  Options.            (line  170)
-* save:                                  Frames and pictures.
-                                                             (line  285)
-* saveline:                              Files.              (line  135)
-* Scale:                                 label.              (line   45)
-* scale:                                 Pens.               (line  119)
-* scale <1>:                             Transforms.         (line   34)
-* scale <2>:                             Transforms.         (line   36)
-* scale <3>:                             graph.              (line  691)
-* Scale <1>:                             graph.              (line  708)
-* scale <4>:                             three.              (line  437)
-* scale3:                                three.              (line  435)
-* scaled graph:                          graph.              (line  671)
-* scientific graph:                      graph.              (line  388)
-* scroll:                                Files.              (line  109)
-* search:                                Arrays.             (line  157)
-* search <1>:                            Arrays.             (line  163)
-* search paths:                          Search paths.       (line    6)
-* Seascape:                              Frames and pictures.
-                                                             (line  110)
-* secondary axis:                        graph.              (line  834)
-* secondaryX:                            graph.              (line  834)
-* secondaryY:                            graph.              (line  834)
-* seconds:                               Data types.         (line  329)
-* seek:                                  Files.              (line   93)
-* seekeof:                               Files.              (line   93)
-* segment:                               math.               (line   50)
-* segmentation fault:                    Help.               (line   27)
-* self operators:                        Self & prefix operators.
-                                                             (line    6)
-* sequence:                              Arrays.             (line  118)
-* settings:                              Configuring.        (line   21)
-* settings <1>:                          Options.            (line  117)
-* sgn:                                   Mathematical functions.
-                                                             (line   26)
-* shading:                               fill.               (line   32)
-* Shift:                                 label.              (line   33)
-* shift:                                 Transforms.         (line   26)
-* shift <1>:                             Transforms.         (line   28)
-* shift <2>:                             Transforms.         (line   44)
-* shift <3>:                             three.              (line  427)
-* shiftless:                             Transforms.         (line   44)
-* shipout:                               Frames and pictures.
-                                                             (line   91)
-* showtarget:                            three.              (line  319)
-* Si:                                    Mathematical functions.
-                                                             (line   48)
-* signedint:                             Files.              (line   76)
-* signedint <1>:                         Files.              (line   89)
-* SimpleHead:                            draw.               (line   26)
-* simplex:                               simplex.            (line    6)
-* simpson:                               Mathematical functions.
-                                                             (line   82)
-* sin:                                   Mathematical functions.
-                                                             (line    6)
-* Sin:                                   Mathematical functions.
-                                                             (line   20)
-* single precision:                      Files.              (line   76)
-* singleint:                             Files.              (line   76)
-* singleint <1>:                         Files.              (line   89)
-* singlereal:                            Files.              (line   76)
-* singlereal <1>:                        Files.              (line   89)
-* sinh:                                  Mathematical functions.
-                                                             (line    6)
-* SixViews:                              three.              (line  385)
-* SixViewsFR:                            three.              (line  385)
-* SixViewsUS:                            three.              (line  385)
-* size:                                  Figure size.        (line    6)
-* size <1>:                              Paths and guides.   (line   81)
-* size <2>:                              Paths and guides.   (line  370)
-* size <3>:                              Frames and pictures.
-                                                             (line   48)
-* size <4>:                              Frames and pictures.
-                                                             (line   74)
-* size <5>:                              three.              (line  484)
-* size <6>:                              Options.            (line  146)
-* size3:                                 three.              (line  244)
-* Slant:                                 label.              (line   42)
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-* sleep:                                 Data types.         (line  375)
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-* slices:                                Slices.             (line    6)
-* slide:                                 slide.              (line    6)
-* slope:                                 math.               (line   44)
-* slope <1>:                             math.               (line   47)
-* slopefield:                            slopefield.         (line    6)
-* smoothcontour3:                        smoothcontour3.     (line    6)
-* sncndn:                                Mathematical functions.
-                                                             (line   48)
-* solid:                                 Pens.               (line   98)
-* solids:                                solids.             (line    6)
-* solve:                                 Arrays.             (line  271)
-* solve <1>:                             Arrays.             (line  287)
-* sort:                                  Arrays.             (line  177)
-* sort <1>:                              Arrays.             (line  181)
-* sort <2>:                              Arrays.             (line  196)
-* Spline:                                graph.              (line   33)
-* Spline <1>:                            graph3.             (line   99)
-* split:                                 Data types.         (line  278)
-* sqrt:                                  Mathematical functions.
-                                                             (line    6)
-* squarecap:                             Pens.               (line  135)
-* srand:                                 Mathematical functions.
-                                                             (line   39)
-* stack overflow:                        Functions.          (line  100)
-* stack overflow <1>:                    Functions.          (line  100)
-* stack overflow <2>:                    Help.               (line   27)
-* static:                                Static.             (line    6)
-* stats:                                 stats.              (line    6)
-* stdin:                                 Files.              (line   48)
-* stdout:                                Files.              (line   48)
-* step:                                  Debugger.           (line   38)
-* stickframe:                            markers.            (line   16)
-* stop:                                  Debugger.           (line   10)
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-* Straight:                              graph.              (line   30)
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-* Suppress:                              Pens.               (line  347)
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-* system <1>:                            Options.            (line  170)
-* syzygy:                                syzygy.             (line    6)
-* tab:                                   Files.              (line   61)
-* tab completion:                        Drawing in interactive mode.
-                                                             (line   11)
-* tan:                                   Mathematical functions.
-                                                             (line    6)
-* Tan:                                   Mathematical functions.
-                                                             (line   20)
-* tanh:                                  Mathematical functions.
-                                                             (line    6)
-* target:                                three.              (line  319)
-* tell:                                  Files.              (line   93)
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-* tension <1>:                           three.              (line    6)
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-* tensor product shading:                fill.               (line   77)
-* tensorshade:                           fill.               (line   77)
-* tessellation:                          three.              (line  114)
-* tex:                                   Frames and pictures.
-                                                             (line  302)
-* tex <1>:                               Options.            (line  146)
-* TeX fonts:                             Pens.               (line  211)
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-                                                             (line  311)
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-                                                             (line  315)
-* textbook graph:                        graph.              (line  360)
-* tgz:                                   UNIX binary distributions.
-                                                             (line    6)
-* thick:                                 three.              (line  125)
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-* this:                                  Structures.         (line    6)
-* three:                                 three.              (line    6)
-* ThreeViews:                            three.              (line  385)
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-* ThreeViewsUS:                          three.              (line  385)
-* tick:                                  graph.              (line  330)
-* ticks:                                 graph.              (line  160)
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-* Ticks <1>:                             graph.              (line  233)
-* tildeframe:                            markers.            (line   24)
-* tile:                                  Pens.               (line  265)
-* tilings:                               Pens.               (line  251)
-* time:                                  Data types.         (line  320)
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-* trailingzero:                          graph.              (line  175)
-* transform:                             Transforms.         (line    6)
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-* transform3:                            three.              (line  422)
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-* transpose:                             Arrays.             (line  200)
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-* tree:                                  tree.               (line    6)
-* trembling:                             trembling.          (line    6)
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-* triangles:                             three.              (line  114)
-* triangulate:                           contour.            (line  149)
-* tridiagonal:                           Arrays.             (line  258)
-* trigonometric integrals:               Mathematical functions.
-                                                             (line   48)
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-* TrueMargin:                            draw.               (line   42)
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-* tube <1>:                              tube.               (line    6)
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-* typedef:                               Data types.         (line  384)
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-                                                             (line  165)
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-                                                             (line  168)
-* unicode:                               unicode.            (line    6)
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-* unitcircle:                            Paths.              (line   17)
-* unitcircle <1>:                        Paths.              (line   17)
-* unitcircle <2>:                        three.              (line  259)
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-                                                             (line   69)
-* UNIX binary distributions:             UNIX binary distributions.
-                                                             (line    6)
-* unpacking:                             Rest arguments.     (line   39)
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-                                                             (line  104)
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-* usepackage:                            Frames and pictures.
-                                                             (line  318)
-* user coordinates:                      Figure size.        (line   39)
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-                                                             (line   68)
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-* XZero:                                 graph.              (line  260)
-* XZZero:                                graph3.             (line   21)
-* Y:                                     Mathematical functions.
-                                                             (line    6)
-* Y <1>:                                 Mathematical functions.
-                                                             (line   48)
-* Y <2>:                                 three.              (line  259)
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-* ypart:                                 Data types.         (line   97)
-* ypart <1>:                             Data types.         (line  187)
-* yscale:                                Transforms.         (line   32)
-* yscale3:                               three.              (line  431)
-* ytick:                                 graph.              (line  330)
-* YX:                                    three.              (line  459)
-* YZ:                                    three.              (line  459)
-* YZEquals:                              graph3.             (line   21)
-* YZero:                                 graph.              (line  123)
-* YZZero:                                graph3.             (line   21)
-* Z:                                     three.              (line  259)
-* zaxis3:                                graph3.             (line    7)
-* zerowinding:                           Pens.               (line  160)
-* zero_Ai:                               Mathematical functions.
-                                                             (line   48)
-* zero_Ai_deriv:                         Mathematical functions.
-                                                             (line   48)
-* zero_Bi:                               Mathematical functions.
-                                                             (line   48)
-* zero_Bi_deriv:                         Mathematical functions.
-                                                             (line   48)
-* zero_J:                                Mathematical functions.
-                                                             (line   48)
-* zeta:                                  Mathematical functions.
-                                                             (line   48)
-* zpart:                                 Data types.         (line  190)
-* zscale3:                               three.              (line  433)
-* ZX:                                    three.              (line  459)
-* ZX <1>:                                three.              (line  459)
-* ZY:                                    three.              (line  459)
-
-
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diff --git a/Build/source/utils/asymptote/gsl.symbols.h b/Build/source/utils/asymptote/gsl.symbols.h
new file mode 100644
index 00000000000..caaa2f0404b
--- /dev/null
+++ b/Build/source/utils/asymptote/gsl.symbols.h
@@ -0,0 +1,394 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(Ai);
+ADDSYMBOL(Ai_deriv);
+ADDSYMBOL(Ai_deriv_scaled);
+ADDSYMBOL(Ai_scaled);
+ADDSYMBOL(Bi);
+ADDSYMBOL(Bi_deriv);
+ADDSYMBOL(Bi_deriv_scaled);
+ADDSYMBOL(Bi_scaled);
+ADDSYMBOL(Chi);
+ADDSYMBOL(Ci);
+ADDSYMBOL(D);
+ADDSYMBOL(E);
+ADDSYMBOL(E1);
+ADDSYMBOL(E2);
+ADDSYMBOL(Ei);
+ADDSYMBOL(Ei3);
+ADDSYMBOL(F);
+ADDSYMBOL(FermiDirac);
+ADDSYMBOL(FermiDirac0);
+ADDSYMBOL(FermiDirac1);
+ADDSYMBOL(FermiDirac2);
+ADDSYMBOL(FermiDirac3Half);
+ADDSYMBOL(FermiDiracHalf);
+ADDSYMBOL(FermiDiracInc0);
+ADDSYMBOL(FermiDiracM1);
+ADDSYMBOL(FermiDiracMHalf);
+ADDSYMBOL(H3d);
+ADDSYMBOL(H3d0);
+ADDSYMBOL(H3d1);
+ADDSYMBOL(I);
+ADDSYMBOL(I0);
+ADDSYMBOL(I0_scaled);
+ADDSYMBOL(I1);
+ADDSYMBOL(I1_scaled);
+ADDSYMBOL(I_scaled);
+ADDSYMBOL(J);
+ADDSYMBOL(J0);
+ADDSYMBOL(J1);
+ADDSYMBOL(Jn);
+ADDSYMBOL(K);
+ADDSYMBOL(K0);
+ADDSYMBOL(K0_scaled);
+ADDSYMBOL(K1);
+ADDSYMBOL(K1_scaled);
+ADDSYMBOL(K_scaled);
+ADDSYMBOL(L);
+ADDSYMBOL(L1);
+ADDSYMBOL(L2);
+ADDSYMBOL(L3);
+ADDSYMBOL(P);
+ADDSYMBOL(P1);
+ADDSYMBOL(P2);
+ADDSYMBOL(P3);
+ADDSYMBOL(Pl);
+ADDSYMBOL(Plm);
+ADDSYMBOL(Q);
+ADDSYMBOL(Q0);
+ADDSYMBOL(Q1);
+ADDSYMBOL(Ql);
+ADDSYMBOL(RC);
+ADDSYMBOL(RD);
+ADDSYMBOL(RF);
+ADDSYMBOL(RJ);
+ADDSYMBOL(Shi);
+ADDSYMBOL(Si);
+ADDSYMBOL(U);
+ADDSYMBOL(W0);
+ADDSYMBOL(Wm1);
+ADDSYMBOL(Y);
+ADDSYMBOL(Y0);
+ADDSYMBOL(Y1);
+ADDSYMBOL(Yn);
+ADDSYMBOL(Z);
+ADDSYMBOL(a);
+ADDSYMBOL(aI);
+ADDSYMBOL(aR);
+ADDSYMBOL(alpha);
+ADDSYMBOL(atanint);
+ADDSYMBOL(b);
+ADDSYMBOL(beta);
+ADDSYMBOL(c);
+ADDSYMBOL(cdf_beta_P);
+ADDSYMBOL(cdf_beta_Pinv);
+ADDSYMBOL(cdf_beta_Q);
+ADDSYMBOL(cdf_beta_Qinv);
+ADDSYMBOL(cdf_binomial_P);
+ADDSYMBOL(cdf_binomial_Q);
+ADDSYMBOL(cdf_cauchy_P);
+ADDSYMBOL(cdf_cauchy_Pinv);
+ADDSYMBOL(cdf_cauchy_Q);
+ADDSYMBOL(cdf_cauchy_Qinv);
+ADDSYMBOL(cdf_chisq_P);
+ADDSYMBOL(cdf_chisq_Pinv);
+ADDSYMBOL(cdf_chisq_Q);
+ADDSYMBOL(cdf_chisq_Qinv);
+ADDSYMBOL(cdf_exponential_P);
+ADDSYMBOL(cdf_exponential_Pinv);
+ADDSYMBOL(cdf_exponential_Q);
+ADDSYMBOL(cdf_exponential_Qinv);
+ADDSYMBOL(cdf_exppow_P);
+ADDSYMBOL(cdf_exppow_Q);
+ADDSYMBOL(cdf_fdist_P);
+ADDSYMBOL(cdf_fdist_Pinv);
+ADDSYMBOL(cdf_fdist_Q);
+ADDSYMBOL(cdf_fdist_Qinv);
+ADDSYMBOL(cdf_flat_P);
+ADDSYMBOL(cdf_flat_Pinv);
+ADDSYMBOL(cdf_flat_Q);
+ADDSYMBOL(cdf_flat_Qinv);
+ADDSYMBOL(cdf_gamma_P);
+ADDSYMBOL(cdf_gamma_Pinv);
+ADDSYMBOL(cdf_gamma_Q);
+ADDSYMBOL(cdf_gamma_Qinv);
+ADDSYMBOL(cdf_gaussian_P);
+ADDSYMBOL(cdf_gaussian_Pinv);
+ADDSYMBOL(cdf_gaussian_Q);
+ADDSYMBOL(cdf_gaussian_Qinv);
+ADDSYMBOL(cdf_geometric_P);
+ADDSYMBOL(cdf_geometric_Q);
+ADDSYMBOL(cdf_gumbel1_P);
+ADDSYMBOL(cdf_gumbel1_Pinv);
+ADDSYMBOL(cdf_gumbel1_Q);
+ADDSYMBOL(cdf_gumbel1_Qinv);
+ADDSYMBOL(cdf_gumbel2_P);
+ADDSYMBOL(cdf_gumbel2_Pinv);
+ADDSYMBOL(cdf_gumbel2_Q);
+ADDSYMBOL(cdf_gumbel2_Qinv);
+ADDSYMBOL(cdf_hypergeometric_P);
+ADDSYMBOL(cdf_hypergeometric_Q);
+ADDSYMBOL(cdf_laplace_P);
+ADDSYMBOL(cdf_laplace_Pinv);
+ADDSYMBOL(cdf_laplace_Q);
+ADDSYMBOL(cdf_laplace_Qinv);
+ADDSYMBOL(cdf_logistic_P);
+ADDSYMBOL(cdf_logistic_Pinv);
+ADDSYMBOL(cdf_logistic_Q);
+ADDSYMBOL(cdf_logistic_Qinv);
+ADDSYMBOL(cdf_lognormal_P);
+ADDSYMBOL(cdf_lognormal_Pinv);
+ADDSYMBOL(cdf_lognormal_Q);
+ADDSYMBOL(cdf_lognormal_Qinv);
+ADDSYMBOL(cdf_negative_binomial_P);
+ADDSYMBOL(cdf_negative_binomial_Q);
+ADDSYMBOL(cdf_pareto_P);
+ADDSYMBOL(cdf_pareto_Pinv);
+ADDSYMBOL(cdf_pareto_Q);
+ADDSYMBOL(cdf_pareto_Qinv);
+ADDSYMBOL(cdf_poisson_P);
+ADDSYMBOL(cdf_poisson_Q);
+ADDSYMBOL(cdf_rayleigh_P);
+ADDSYMBOL(cdf_rayleigh_Pinv);
+ADDSYMBOL(cdf_rayleigh_Q);
+ADDSYMBOL(cdf_rayleigh_Qinv);
+ADDSYMBOL(cdf_tdist_P);
+ADDSYMBOL(cdf_tdist_Pinv);
+ADDSYMBOL(cdf_tdist_Q);
+ADDSYMBOL(cdf_tdist_Qinv);
+ADDSYMBOL(cdf_weibull_P);
+ADDSYMBOL(cdf_weibull_Pinv);
+ADDSYMBOL(cdf_weibull_Q);
+ADDSYMBOL(cdf_weibull_Qinv);
+ADDSYMBOL(choose);
+ADDSYMBOL(clausen);
+ADDSYMBOL(conicalP_0);
+ADDSYMBOL(conicalP_1);
+ADDSYMBOL(conicalP_cyl_reg);
+ADDSYMBOL(conicalP_half);
+ADDSYMBOL(conicalP_mhalf);
+ADDSYMBOL(conicalP_sph_reg);
+ADDSYMBOL(coupling_3j);
+ADDSYMBOL(coupling_6j);
+ADDSYMBOL(coupling_9j);
+ADDSYMBOL(dawson);
+ADDSYMBOL(debye_1);
+ADDSYMBOL(debye_2);
+ADDSYMBOL(debye_3);
+ADDSYMBOL(debye_4);
+ADDSYMBOL(debye_5);
+ADDSYMBOL(debye_6);
+ADDSYMBOL(dilog);
+ADDSYMBOL(doublefact);
+ADDSYMBOL(epsilon);
+ADDSYMBOL(erf);
+ADDSYMBOL(erf_Q);
+ADDSYMBOL(erf_Z);
+ADDSYMBOL(erfc);
+ADDSYMBOL(eta);
+ADDSYMBOL(exp_mult);
+ADDSYMBOL(exprel);
+ADDSYMBOL(exprel_2);
+ADDSYMBOL(fact);
+ADDSYMBOL(fcmp);
+ADDSYMBOL(gamma);
+ADDSYMBOL(gamma_P);
+ADDSYMBOL(gamma_Q);
+ADDSYMBOL(gammainv);
+ADDSYMBOL(gammastar);
+ADDSYMBOL(gegenpoly);
+ADDSYMBOL(gegenpoly_1);
+ADDSYMBOL(gegenpoly_2);
+ADDSYMBOL(gegenpoly_3);
+ADDSYMBOL(gsl);
+ADDSYMBOL(hazard);
+ADDSYMBOL(hy0F1);
+ADDSYMBOL(hy1F1);
+ADDSYMBOL(hy2F0);
+ADDSYMBOL(hy2F1);
+ADDSYMBOL(hy2F1_conj);
+ADDSYMBOL(hy2F1_conj_renorm);
+ADDSYMBOL(hy2F1_renorm);
+ADDSYMBOL(hydrogenicR);
+ADDSYMBOL(hydrogenicR_1);
+ADDSYMBOL(hypot);
+ADDSYMBOL(hzeta);
+ADDSYMBOL(i0_scaled);
+ADDSYMBOL(i1_scaled);
+ADDSYMBOL(i2_scaled);
+ADDSYMBOL(i_scaled);
+ADDSYMBOL(j);
+ADDSYMBOL(j0);
+ADDSYMBOL(j1);
+ADDSYMBOL(j2);
+ADDSYMBOL(k);
+ADDSYMBOL(k0_scaled);
+ADDSYMBOL(k1_scaled);
+ADDSYMBOL(k2_scaled);
+ADDSYMBOL(k_scaled);
+ADDSYMBOL(l);
+ADDSYMBOL(lambda);
+ADDSYMBOL(lnK);
+ADDSYMBOL(lnbeta);
+ADDSYMBOL(lnchoose);
+ADDSYMBOL(lncosh);
+ADDSYMBOL(lndoublefact);
+ADDSYMBOL(lnfact);
+ADDSYMBOL(lngamma);
+ADDSYMBOL(lnpoch);
+ADDSYMBOL(lnsinh);
+ADDSYMBOL(log1pm);
+ADDSYMBOL(log_erfc);
+ADDSYMBOL(logabs);
+ADDSYMBOL(m);
+ADDSYMBOL(method);
+ADDSYMBOL(mu);
+ADDSYMBOL(n);
+ADDSYMBOL(n1);
+ADDSYMBOL(n2);
+ADDSYMBOL(name);
+ADDSYMBOL(nu);
+ADDSYMBOL(nu1);
+ADDSYMBOL(nu2);
+ADDSYMBOL(p);
+ADDSYMBOL(pdf_bernoulli);
+ADDSYMBOL(pdf_beta);
+ADDSYMBOL(pdf_binomial);
+ADDSYMBOL(pdf_bivariate_gaussian);
+ADDSYMBOL(pdf_cauchy);
+ADDSYMBOL(pdf_chisq);
+ADDSYMBOL(pdf_dirichlet);
+ADDSYMBOL(pdf_exponential);
+ADDSYMBOL(pdf_exppow);
+ADDSYMBOL(pdf_fdist);
+ADDSYMBOL(pdf_flat);
+ADDSYMBOL(pdf_gamma);
+ADDSYMBOL(pdf_gaussian);
+ADDSYMBOL(pdf_gaussian_tail);
+ADDSYMBOL(pdf_geometric);
+ADDSYMBOL(pdf_gumbel1);
+ADDSYMBOL(pdf_gumbel2);
+ADDSYMBOL(pdf_hypergeometric);
+ADDSYMBOL(pdf_landau);
+ADDSYMBOL(pdf_laplace);
+ADDSYMBOL(pdf_logarithmic);
+ADDSYMBOL(pdf_logistic);
+ADDSYMBOL(pdf_lognormal);
+ADDSYMBOL(pdf_multinomial);
+ADDSYMBOL(pdf_negative_binomial);
+ADDSYMBOL(pdf_pareto);
+ADDSYMBOL(pdf_poisson);
+ADDSYMBOL(pdf_rayleigh);
+ADDSYMBOL(pdf_rayleigh_tail);
+ADDSYMBOL(pdf_tdist);
+ADDSYMBOL(pdf_weibull);
+ADDSYMBOL(phi);
+ADDSYMBOL(poch);
+ADDSYMBOL(pochrel);
+ADDSYMBOL(pow);
+ADDSYMBOL(psi);
+ADDSYMBOL(psi1);
+ADDSYMBOL(psi_1piy);
+ADDSYMBOL(q);
+ADDSYMBOL(r);
+ADDSYMBOL(rho);
+ADDSYMBOL(rng_bernoulli);
+ADDSYMBOL(rng_beta);
+ADDSYMBOL(rng_binomial);
+ADDSYMBOL(rng_bivariate_gaussian);
+ADDSYMBOL(rng_cauchy);
+ADDSYMBOL(rng_chisq);
+ADDSYMBOL(rng_dir);
+ADDSYMBOL(rng_dir2d);
+ADDSYMBOL(rng_dir3d);
+ADDSYMBOL(rng_dirichlet);
+ADDSYMBOL(rng_exponential);
+ADDSYMBOL(rng_exppow);
+ADDSYMBOL(rng_fdist);
+ADDSYMBOL(rng_flat);
+ADDSYMBOL(rng_gamma);
+ADDSYMBOL(rng_gaussian);
+ADDSYMBOL(rng_gaussian_tail);
+ADDSYMBOL(rng_geometric);
+ADDSYMBOL(rng_get);
+ADDSYMBOL(rng_gumbel1);
+ADDSYMBOL(rng_gumbel2);
+ADDSYMBOL(rng_hypergeometric);
+ADDSYMBOL(rng_init);
+ADDSYMBOL(rng_landau);
+ADDSYMBOL(rng_laplace);
+ADDSYMBOL(rng_levy);
+ADDSYMBOL(rng_list);
+ADDSYMBOL(rng_logarithmic);
+ADDSYMBOL(rng_logistic);
+ADDSYMBOL(rng_lognormal);
+ADDSYMBOL(rng_max);
+ADDSYMBOL(rng_min);
+ADDSYMBOL(rng_multinomial);
+ADDSYMBOL(rng_name);
+ADDSYMBOL(rng_negative_binomial);
+ADDSYMBOL(rng_pareto);
+ADDSYMBOL(rng_poisson);
+ADDSYMBOL(rng_rayleigh);
+ADDSYMBOL(rng_rayleigh_tail);
+ADDSYMBOL(rng_set);
+ADDSYMBOL(rng_tdist);
+ADDSYMBOL(rng_uniform);
+ADDSYMBOL(rng_uniform_int);
+ADDSYMBOL(rng_uniform_pos);
+ADDSYMBOL(rng_weibull);
+ADDSYMBOL(s);
+ADDSYMBOL(seed);
+ADDSYMBOL(sigma);
+ADDSYMBOL(sinc);
+ADDSYMBOL(sncndn);
+ADDSYMBOL(sphPlm);
+ADDSYMBOL(synchrotron_1);
+ADDSYMBOL(synchrotron_2);
+ADDSYMBOL(t);
+ADDSYMBOL(taylorcoeff);
+ADDSYMBOL(theta);
+ADDSYMBOL(transport_2);
+ADDSYMBOL(transport_3);
+ADDSYMBOL(transport_4);
+ADDSYMBOL(transport_5);
+ADDSYMBOL(two_ja);
+ADDSYMBOL(two_jb);
+ADDSYMBOL(two_jc);
+ADDSYMBOL(two_jd);
+ADDSYMBOL(two_je);
+ADDSYMBOL(two_jf);
+ADDSYMBOL(two_jg);
+ADDSYMBOL(two_jh);
+ADDSYMBOL(two_ji);
+ADDSYMBOL(two_ma);
+ADDSYMBOL(two_mb);
+ADDSYMBOL(two_mc);
+ADDSYMBOL(u);
+ADDSYMBOL(x);
+ADDSYMBOL(y);
+ADDSYMBOL(y0);
+ADDSYMBOL(y1);
+ADDSYMBOL(y2);
+ADDSYMBOL(z);
+ADDSYMBOL(zero_Ai);
+ADDSYMBOL(zero_Ai_deriv);
+ADDSYMBOL(zero_Bi);
+ADDSYMBOL(zero_Bi_deriv);
+ADDSYMBOL(zero_J);
+ADDSYMBOL(zero_J0);
+ADDSYMBOL(zero_J1);
+ADDSYMBOL(zeta);
+ADDSYMBOL(zetam1);
diff --git a/Build/source/utils/asymptote/mathop.h b/Build/source/utils/asymptote/mathop.h
index cdacdf938f9..69c031c26af 100644
--- a/Build/source/utils/asymptote/mathop.h
+++ b/Build/source/utils/asymptote/mathop.h
@@ -238,9 +238,9 @@ struct power<Int> {
   }
 };
  
-template <typename>
+template <typename T>
 struct mod {
-  Int operator() (Int x, Int y,  size_t i=0) {
+  T operator() (T x, T y,  size_t i=0) {
     if(y == 0) dividebyzero(i);
     return portableMod(x,y);
   }
diff --git a/Build/source/utils/asymptote/picture.cc b/Build/source/utils/asymptote/picture.cc
index 026e4fba043..5914f92af77 100644
--- a/Build/source/utils/asymptote/picture.cc
+++ b/Build/source/utils/asymptote/picture.cc
@@ -238,6 +238,16 @@ bool picture::have3D()
   return false;
 }
 
+bool picture::havepng()
+{
+  for(nodelist::iterator p=nodes.begin(); p != nodes.end(); ++p) {
+    assert(*p);
+    if((*p)->svgpng())
+      return true;
+  }
+  return false;
+}
+
 bbox picture::bounds()
 {
   size_t n=nodes.size();
@@ -409,7 +419,7 @@ int opentex(const string& texname, const string& prefix, bool dvi)
 
 bool picture::texprocess(const string& texname, const string& outname,
                          const string& prefix, const pair& bboxshift,
-                         bool svgformat)
+                         bool svg)
 {
   int status=1;
   ifstream outfile;
@@ -427,7 +437,7 @@ bool picture::texprocess(const string& texname, const string& outname,
       string dviname=auxname(prefix,"dvi");
       mem::vector<string> cmd;
     
-      if(svgformat) {
+      if(svg) {
         cmd.push_back(getSetting<string>("dvisvgm"));
         cmd.push_back("-n");
         cmd.push_back("--verbosity=3");
@@ -664,14 +674,15 @@ bool picture::reloadPDF(const string& Viewer, const string& outname) const
   
 bool picture::postprocess(const string& prename, const string& outname,
                           const string& outputformat, double magnification,
-                          bool wait, bool view, bool pdftex, bool svgformat)
+                          bool wait, bool view, bool pdftex, 
+                          bool epsformat, bool svg)
 {
   static mem::map<CONST string,int> pids;
   int status=0;
-  bool epsformat=outputformat == "eps";
   bool pdfformat=(settings::pdf(getSetting<string>("tex")) 
                   && outputformat == "") || outputformat == "pdf";
   
+  mem::vector<string> cmd;
   if(pdftex || !epsformat) {
     if(pdfformat) {
       if(pdftex) {
@@ -680,9 +691,26 @@ bool picture::postprocess(const string& prename, const string& outname,
           reportError("Cannot rename "+prename+" to "+outname);
       } else status=epstopdf(prename,outname);
     } else if(epsformat) {
-      status=pdftoeps(prename,outname);
+      if(svg) {
+        string epsname=stripExt(prename)+".eps";
+        status=pdftoeps(prename,epsname);
+        cmd.push_back(getSetting<string>("dvisvgm"));
+        cmd.push_back("-n");
+        cmd.push_back("-E");
+        cmd.push_back("--verbosity=3");
+        string libgs=getSetting<string>("libgs");
+        if(!libgs.empty())
+          cmd.push_back("--libgs="+libgs);
+        push_split(cmd,getSetting<string>("dvisvgmOptions"));
+        cmd.push_back("-o"+outname);
+        cmd.push_back(epsname);
+        status=System(cmd,0,true,"dvisvgm");
+        if(!getSetting<bool>("keep"))
+          unlink(epsname.c_str());
+        epsformat=false;
+      } else 
+        status=pdftoeps(prename,outname);
     } else {
-      mem::vector<string> cmd;
       double render=fabs(getSetting<double>("render"));
       if(render == 0) render=1.0;
       double res=render*72.0;
@@ -702,7 +730,7 @@ bool picture::postprocess(const string& prename, const string& outname,
         cmd.push_back("-sOutputFile="+outname);
         cmd.push_back(prename);
         status=System(cmd,0,true,"gs","Ghostscript");
-      } else if(!svgformat) {
+      } else if(!svg) {
         double expand=antialias;
         if(expand < 2.0) expand=1.0;
         res *= expand;
@@ -715,7 +743,7 @@ bool picture::postprocess(const string& prename, const string& outname,
         cmd.push_back("-resize");
         cmd.push_back(String(100.0/expand)+"%x");
         if(outputformat == "jpg") cmd.push_back("-flatten");
-        cmd.push_back(nativeformat()+":"+prename);
+        cmd.push_back(prename);
         cmd.push_back(outputformat+":"+outname);
         status=System(cmd,0,true,"convert");
       }
@@ -809,8 +837,14 @@ bool picture::shipout(picture *preamble, const string& Prefix,
   string outputformat=format.empty() ? defaultformat() : format;
   bool epsformat=outputformat == "eps";
   bool pdfformat=pdf || outputformat == "pdf";
-  bool svgformat=outputformat == "svg" && !pdf && usetex &&
+  bool svgformat=outputformat == "svg";
+  bool dvi=false;
+  bool svg=svgformat && usetex && !(pdf && havepng()) &&
     (!have3D() || getSetting<double>("render") == 0.0);
+  if(svg) {
+    if(pdf) epsformat=true;
+    else dvi=true;
+  }
   
   bool xobject=magnification > 0;
   string outname=Outname(prefix,outputformat,standardout);
@@ -827,10 +861,11 @@ bool picture::shipout(picture *preamble, const string& Prefix,
     out.prologue(b);
     out.epilogue();
     out.close();
-    return postprocess(epsname,outname,outputformat,1.0,wait,view,false,false);
+    return postprocess(epsname,outname,outputformat,1.0,wait,view,false,
+                       epsformat,false);
   }
   
-  Labels |= svgformat;
+  Labels |= svg;
     
   if(Labels)
     prefix=cleanpath(prefix);
@@ -879,7 +914,7 @@ bool picture::shipout(picture *preamble, const string& Prefix,
   
   if(Labels) {
     texname=TeXmode ? buildname(prefix,"tex") : auxname(prefix,"tex");
-    tex=svgformat ? new svgtexfile(texname,b) : new texfile(texname,b);
+    tex=dvi ? new svgtexfile(texname,b) : new texfile(texname,b);
     tex->prologue();
   }
   
@@ -934,7 +969,7 @@ bool picture::shipout(picture *preamble, const string& Prefix,
     bool postscript=false;
     drawLabel *L=NULL;
     
-    if(svgformat)
+    if(dvi)
       for(nodelist::const_iterator r=begin.begin(); r != begin.end(); ++r)
         (*r)->draw(&out);
     
@@ -942,7 +977,7 @@ bool picture::shipout(picture *preamble, const string& Prefix,
       assert(*p);
       if(Labels && (*p)->islayer()) break;
       
-      if(svgformat && (*p)->svg()) {
+      if(dvi && (*p)->svg()) {
         picture *f=(*p)->svgpng() ? new picture : NULL;
         nodelist::const_iterator q=layerp;
         for(;;) {
@@ -1029,7 +1064,7 @@ bool picture::shipout(picture *preamble, const string& Prefix,
         for (p=layerp; p != nodes.end(); ++p) {
           assert(*p);
           bool islayer=(*p)->islayer();
-          if(svgformat && (*p)->svg()) {
+          if(dvi && (*p)->svg()) {
             islayer=true;
             if((*p)->svgpng())
               L->write(tex,b);
@@ -1057,8 +1092,8 @@ bool picture::shipout(picture *preamble, const string& Prefix,
       if(Labels) {
         tex->epilogue();
         if(context) prefix=stripDir(prefix);
-        status=texprocess(texname,svgformat ? outname : prename,prefix,
-                          bboxshift,svgformat);
+        status=texprocess(texname,dvi ? outname : prename,prefix,
+                          bboxshift,dvi);
         delete tex;
         if(!getSetting<bool>("keep")) {
           for(mem::list<string>::iterator p=files.begin(); p != files.end();
@@ -1073,7 +1108,7 @@ bool picture::shipout(picture *preamble, const string& Prefix,
         } else {
           if(context) prename=stripDir(prename);
           status=postprocess(prename,outname,outputformat,magnification,wait,
-                             view,pdf && Labels,svgformat);
+                             view,pdf && Labels,epsformat,svg);
           if(pdfformat && !getSetting<bool>("keep")) {
             unlink(auxname(prefix,"m9").c_str());
             unlink(auxname(prefix,"pbsdat").c_str());
diff --git a/Build/source/utils/asymptote/picture.h b/Build/source/utils/asymptote/picture.h
index 44fd72363d4..cd46aeb50f0 100644
--- a/Build/source/utils/asymptote/picture.h
+++ b/Build/source/utils/asymptote/picture.h
@@ -56,6 +56,7 @@ public:
   
   bool havelabels();
   bool have3D();
+  bool havepng();
 
   bbox bounds();
   bbox3 bounds3();
@@ -75,7 +76,8 @@ public:
     
   bool postprocess(const string& prename, const string& outname, 
                    const string& outputformat, double magnification,
-                   bool wait, bool view, bool pdftex, bool svgformat);
+                   bool wait, bool view, bool pdftex, bool epsformat,
+                   bool svg);
     
   // Ship the picture out to PostScript & TeX files.
   bool shipout(picture* preamble, const string& prefix,
diff --git a/Build/source/utils/asymptote/revision.cc b/Build/source/utils/asymptote/revision.cc
index 2fe371f37ac..a7de1211417 100644
--- a/Build/source/utils/asymptote/revision.cc
+++ b/Build/source/utils/asymptote/revision.cc
@@ -1 +1 @@
-const char *REVISION="2.42";
+const char *REVISION="2.43";
diff --git a/Build/source/utils/asymptote/runarray.symbols.h b/Build/source/utils/asymptote/runarray.symbols.h
new file mode 100644
index 00000000000..ce7a164bde6
--- /dev/null
+++ b/Build/source/utils/asymptote/runarray.symbols.h
@@ -0,0 +1,61 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(AtA);
+ADDSYMBOL(_findroot);
+ADDSYMBOL(_projection);
+ADDSYMBOL(a);
+ADDSYMBOL(acc);
+ADDSYMBOL(all);
+ADDSYMBOL(b);
+ADDSYMBOL(c);
+ADDSYMBOL(change2);
+ADDSYMBOL(complement);
+ADDSYMBOL(determinant);
+ADDSYMBOL(dot);
+ADDSYMBOL(dxmax);
+ADDSYMBOL(f);
+ADDSYMBOL(fa);
+ADDSYMBOL(fb);
+ADDSYMBOL(fft);
+ADDSYMBOL(find);
+ADDSYMBOL(findall);
+ADDSYMBOL(fprime);
+ADDSYMBOL(identity);
+ADDSYMBOL(inverse);
+ADDSYMBOL(iterations);
+ADDSYMBOL(maxbezier);
+ADDSYMBOL(maxratio);
+ADDSYMBOL(minbezier);
+ADDSYMBOL(minratio);
+ADDSYMBOL(n);
+ADDSYMBOL(newton);
+ADDSYMBOL(norm);
+ADDSYMBOL(p);
+ADDSYMBOL(project);
+ADDSYMBOL(sequence);
+ADDSYMBOL(sign);
+ADDSYMBOL(simpson);
+ADDSYMBOL(solve);
+ADDSYMBOL(sum);
+ADDSYMBOL(t);
+ADDSYMBOL(tolerance);
+ADDSYMBOL(triangulate);
+ADDSYMBOL(tridiagonal);
+ADDSYMBOL(v);
+ADDSYMBOL(verbose);
+ADDSYMBOL(warn);
+ADDSYMBOL(x);
+ADDSYMBOL(x1);
+ADDSYMBOL(x2);
+ADDSYMBOL(z);
diff --git a/Build/source/utils/asymptote/runbacktrace.symbols.h b/Build/source/utils/asymptote/runbacktrace.symbols.h
new file mode 100644
index 00000000000..150dd5741b0
--- /dev/null
+++ b/Build/source/utils/asymptote/runbacktrace.symbols.h
@@ -0,0 +1,16 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(generate_random_backtrace);
+ADDSYMBOL(n);
+ADDSYMBOL(print_random_addresses);
diff --git a/Build/source/utils/asymptote/runfile.symbols.h b/Build/source/utils/asymptote/runfile.symbols.h
new file mode 100644
index 00000000000..a0ad7ffb623
--- /dev/null
+++ b/Build/source/utils/asymptote/runfile.symbols.h
@@ -0,0 +1,42 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(a);
+ADDSYMBOL(b);
+ADDSYMBOL(check);
+ADDSYMBOL(clear);
+ADDSYMBOL(close);
+ADDSYMBOL(comment);
+ADDSYMBOL(delete);
+ADDSYMBOL(digits);
+ADDSYMBOL(eof);
+ADDSYMBOL(eol);
+ADDSYMBOL(error);
+ADDSYMBOL(f);
+ADDSYMBOL(flush);
+ADDSYMBOL(from);
+ADDSYMBOL(getc);
+ADDSYMBOL(input);
+ADDSYMBOL(mktemp);
+ADDSYMBOL(mode);
+ADDSYMBOL(name);
+ADDSYMBOL(output);
+ADDSYMBOL(pos);
+ADDSYMBOL(precision);
+ADDSYMBOL(rename);
+ADDSYMBOL(s);
+ADDSYMBOL(seek);
+ADDSYMBOL(seekeof);
+ADDSYMBOL(tell);
+ADDSYMBOL(to);
+ADDSYMBOL(update);
diff --git a/Build/source/utils/asymptote/runhistory.symbols.h b/Build/source/utils/asymptote/runhistory.symbols.h
new file mode 100644
index 00000000000..64ed302f8b5
--- /dev/null
+++ b/Build/source/utils/asymptote/runhistory.symbols.h
@@ -0,0 +1,22 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(history);
+ADDSYMBOL(n);
+ADDSYMBOL(name);
+ADDSYMBOL(prompt);
+ADDSYMBOL(readline);
+ADDSYMBOL(saveline);
+ADDSYMBOL(store);
+ADDSYMBOL(tabcompletion);
+ADDSYMBOL(value);
diff --git a/Build/source/utils/asymptote/runlabel.symbols.h b/Build/source/utils/asymptote/runlabel.symbols.h
new file mode 100644
index 00000000000..2cf93e4df82
--- /dev/null
+++ b/Build/source/utils/asymptote/runlabel.symbols.h
@@ -0,0 +1,27 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(_strokepath);
+ADDSYMBOL(_texpath);
+ADDSYMBOL(align);
+ADDSYMBOL(f);
+ADDSYMBOL(g);
+ADDSYMBOL(label);
+ADDSYMBOL(labels);
+ADDSYMBOL(p);
+ADDSYMBOL(position);
+ADDSYMBOL(s);
+ADDSYMBOL(size);
+ADDSYMBOL(t);
+ADDSYMBOL(texsize);
+ADDSYMBOL(textpath);
diff --git a/Build/source/utils/asymptote/runmath.symbols.h b/Build/source/utils/asymptote/runmath.symbols.h
new file mode 100644
index 00000000000..5ce861b48a4
--- /dev/null
+++ b/Build/source/utils/asymptote/runmath.symbols.h
@@ -0,0 +1,57 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(AND);
+ADDSYMBOL(CLZ);
+ADDSYMBOL(CTZ);
+ADDSYMBOL(Ceil);
+ADDSYMBOL(Floor);
+ADDSYMBOL(Jn);
+ADDSYMBOL(NOT);
+ADDSYMBOL(OR);
+ADDSYMBOL(Round);
+ADDSYMBOL(XOR);
+ADDSYMBOL(Yn);
+ADDSYMBOL(a);
+ADDSYMBOL(abs);
+ADDSYMBOL(atan2);
+ADDSYMBOL(b);
+ADDSYMBOL(bitreverse);
+ADDSYMBOL(bits);
+ADDSYMBOL(c);
+ADDSYMBOL(ceil);
+ADDSYMBOL(choose);
+ADDSYMBOL(cubicroots);
+ADDSYMBOL(d);
+ADDSYMBOL(erf);
+ADDSYMBOL(erfc);
+ADDSYMBOL(factorial);
+ADDSYMBOL(floor);
+ADDSYMBOL(fmod);
+ADDSYMBOL(gamma);
+ADDSYMBOL(hypot);
+ADDSYMBOL(k);
+ADDSYMBOL(n);
+ADDSYMBOL(popcount);
+ADDSYMBOL(quadraticroots);
+ADDSYMBOL(quotient);
+ADDSYMBOL(rand);
+ADDSYMBOL(remainder);
+ADDSYMBOL(round);
+ADDSYMBOL(seed);
+ADDSYMBOL(sgn);
+ADDSYMBOL(srand);
+ADDSYMBOL(unitrand);
+ADDSYMBOL(x);
+ADDSYMBOL(y);
+ADDSYMBOL(z);
diff --git a/Build/source/utils/asymptote/runpair.symbols.h b/Build/source/utils/asymptote/runpair.symbols.h
new file mode 100644
index 00000000000..a8a7271075d
--- /dev/null
+++ b/Build/source/utils/asymptote/runpair.symbols.h
@@ -0,0 +1,54 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(Cos);
+ADDSYMBOL(Degrees);
+ADDSYMBOL(Sin);
+ADDSYMBOL(Tan);
+ADDSYMBOL(a);
+ADDSYMBOL(aCos);
+ADDSYMBOL(aSin);
+ADDSYMBOL(aTan);
+ADDSYMBOL(abs);
+ADDSYMBOL(angle);
+ADDSYMBOL(b);
+ADDSYMBOL(bezier);
+ADDSYMBOL(bezierP);
+ADDSYMBOL(bezierPP);
+ADDSYMBOL(bezierPPP);
+ADDSYMBOL(c);
+ADDSYMBOL(conj);
+ADDSYMBOL(cos);
+ADDSYMBOL(cross);
+ADDSYMBOL(d);
+ADDSYMBOL(deg);
+ADDSYMBOL(degrees);
+ADDSYMBOL(dir);
+ADDSYMBOL(dot);
+ADDSYMBOL(exp);
+ADDSYMBOL(expi);
+ADDSYMBOL(gamma);
+ADDSYMBOL(length);
+ADDSYMBOL(log);
+ADDSYMBOL(radians);
+ADDSYMBOL(realmult);
+ADDSYMBOL(sin);
+ADDSYMBOL(sqrt);
+ADDSYMBOL(t);
+ADDSYMBOL(unit);
+ADDSYMBOL(w);
+ADDSYMBOL(warn);
+ADDSYMBOL(x);
+ADDSYMBOL(xpart);
+ADDSYMBOL(ypart);
+ADDSYMBOL(z);
diff --git a/Build/source/utils/asymptote/runpath.symbols.h b/Build/source/utils/asymptote/runpath.symbols.h
new file mode 100644
index 00000000000..fcd2a9dc7b7
--- /dev/null
+++ b/Build/source/utils/asymptote/runpath.symbols.h
@@ -0,0 +1,71 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(a);
+ADDSYMBOL(accel);
+ADDSYMBOL(arclength);
+ADDSYMBOL(arctime);
+ADDSYMBOL(atleast);
+ADDSYMBOL(b);
+ADDSYMBOL(c);
+ADDSYMBOL(cyclic);
+ADDSYMBOL(d);
+ADDSYMBOL(dir);
+ADDSYMBOL(dirtime);
+ADDSYMBOL(extension);
+ADDSYMBOL(fillrule);
+ADDSYMBOL(fuzz);
+ADDSYMBOL(g);
+ADDSYMBOL(incircle);
+ADDSYMBOL(inside);
+ADDSYMBOL(intersect);
+ADDSYMBOL(intersections);
+ADDSYMBOL(l);
+ADDSYMBOL(length);
+ADDSYMBOL(m);
+ADDSYMBOL(max);
+ADDSYMBOL(maxAfterTransform);
+ADDSYMBOL(maxtimes);
+ADDSYMBOL(min);
+ADDSYMBOL(minAfterTransform);
+ADDSYMBOL(mintimes);
+ADDSYMBOL(normalize);
+ADDSYMBOL(nurb);
+ADDSYMBOL(orient);
+ADDSYMBOL(p);
+ADDSYMBOL(phi);
+ADDSYMBOL(piecewisestraight);
+ADDSYMBOL(point);
+ADDSYMBOL(postcontrol);
+ADDSYMBOL(precontrol);
+ADDSYMBOL(q);
+ADDSYMBOL(radius);
+ADDSYMBOL(relativedistance);
+ADDSYMBOL(reverse);
+ADDSYMBOL(sign);
+ADDSYMBOL(size);
+ADDSYMBOL(straight);
+ADDSYMBOL(subpath);
+ADDSYMBOL(t);
+ADDSYMBOL(theta);
+ADDSYMBOL(unstraighten);
+ADDSYMBOL(w0);
+ADDSYMBOL(w1);
+ADDSYMBOL(w2);
+ADDSYMBOL(w3);
+ADDSYMBOL(windingnumber);
+ADDSYMBOL(z);
+ADDSYMBOL(z0);
+ADDSYMBOL(z1);
+ADDSYMBOL(z2);
+ADDSYMBOL(z3);
diff --git a/Build/source/utils/asymptote/runpath3d.symbols.h b/Build/source/utils/asymptote/runpath3d.symbols.h
new file mode 100644
index 00000000000..63ada7763e5
--- /dev/null
+++ b/Build/source/utils/asymptote/runpath3d.symbols.h
@@ -0,0 +1,60 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(a);
+ADDSYMBOL(accel);
+ADDSYMBOL(arclength);
+ADDSYMBOL(arctime);
+ADDSYMBOL(b);
+ADDSYMBOL(c);
+ADDSYMBOL(c0);
+ADDSYMBOL(c1);
+ADDSYMBOL(cyclic);
+ADDSYMBOL(d);
+ADDSYMBOL(dir);
+ADDSYMBOL(dval);
+ADDSYMBOL(e);
+ADDSYMBOL(fuzz);
+ADDSYMBOL(g);
+ADDSYMBOL(insphere);
+ADDSYMBOL(intersect);
+ADDSYMBOL(intersections);
+ADDSYMBOL(length);
+ADDSYMBOL(max);
+ADDSYMBOL(maxratio);
+ADDSYMBOL(maxtimes);
+ADDSYMBOL(min);
+ADDSYMBOL(minratio);
+ADDSYMBOL(mintimes);
+ADDSYMBOL(normalize);
+ADDSYMBOL(orient);
+ADDSYMBOL(p);
+ADDSYMBOL(path3);
+ADDSYMBOL(piecewisestraight);
+ADDSYMBOL(point);
+ADDSYMBOL(post);
+ADDSYMBOL(postcontrol);
+ADDSYMBOL(pre);
+ADDSYMBOL(precontrol);
+ADDSYMBOL(q);
+ADDSYMBOL(radius);
+ADDSYMBOL(reverse);
+ADDSYMBOL(sign);
+ADDSYMBOL(size);
+ADDSYMBOL(straight);
+ADDSYMBOL(straightness);
+ADDSYMBOL(subpath);
+ADDSYMBOL(t);
+ADDSYMBOL(unstraighten);
+ADDSYMBOL(z0);
+ADDSYMBOL(z1);
diff --git a/Build/source/utils/asymptote/runpicture.symbols.h b/Build/source/utils/asymptote/runpicture.symbols.h
new file mode 100644
index 00000000000..dc28a68d77f
--- /dev/null
+++ b/Build/source/utils/asymptote/runpicture.symbols.h
@@ -0,0 +1,139 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(_begingroup3);
+ADDSYMBOL(_draw);
+ADDSYMBOL(_image);
+ADDSYMBOL(_labelpath);
+ADDSYMBOL(a);
+ADDSYMBOL(add);
+ADDSYMBOL(ambient);
+ADDSYMBOL(angle);
+ADDSYMBOL(antialias);
+ADDSYMBOL(axialshade);
+ADDSYMBOL(b);
+ADDSYMBOL(background);
+ADDSYMBOL(beginclip);
+ADDSYMBOL(begingroup);
+ADDSYMBOL(c);
+ADDSYMBOL(center);
+ADDSYMBOL(ci);
+ADDSYMBOL(clip);
+ADDSYMBOL(closed);
+ADDSYMBOL(colors);
+ADDSYMBOL(compression);
+ADDSYMBOL(copy);
+ADDSYMBOL(data);
+ADDSYMBOL(deconstruct);
+ADDSYMBOL(deletepreamble);
+ADDSYMBOL(dest);
+ADDSYMBOL(diffuse);
+ADDSYMBOL(dobreak);
+ADDSYMBOL(draw);
+ADDSYMBOL(drawPRCcylinder);
+ADDSYMBOL(drawPRCdisk);
+ADDSYMBOL(drawPRCsphere);
+ADDSYMBOL(drawPRCtube);
+ADDSYMBOL(drawbeziertriangle);
+ADDSYMBOL(drawpixel);
+ADDSYMBOL(edges);
+ADDSYMBOL(empty);
+ADDSYMBOL(endclip);
+ADDSYMBOL(endgroup);
+ADDSYMBOL(endgroup3);
+ADDSYMBOL(erase);
+ADDSYMBOL(extenda);
+ADDSYMBOL(extendb);
+ADDSYMBOL(f);
+ADDSYMBOL(fill);
+ADDSYMBOL(fillrule);
+ADDSYMBOL(final);
+ADDSYMBOL(format);
+ADDSYMBOL(functionshade);
+ADDSYMBOL(g);
+ADDSYMBOL(gouraudshade);
+ADDSYMBOL(granularity);
+ADDSYMBOL(grestore);
+ADDSYMBOL(gsave);
+ADDSYMBOL(half);
+ADDSYMBOL(height);
+ADDSYMBOL(initial);
+ADDSYMBOL(interaction);
+ADDSYMBOL(is3D);
+ADDSYMBOL(justify);
+ADDSYMBOL(knot);
+ADDSYMBOL(latex);
+ADDSYMBOL(latticeshade);
+ADDSYMBOL(layer);
+ADDSYMBOL(lights);
+ADDSYMBOL(m);
+ADDSYMBOL(magnification);
+ADDSYMBOL(max);
+ADDSYMBOL(max3);
+ADDSYMBOL(maxratio);
+ADDSYMBOL(min);
+ADDSYMBOL(min3);
+ADDSYMBOL(minratio);
+ADDSYMBOL(n);
+ADDSYMBOL(name);
+ADDSYMBOL(nativeformat);
+ADDSYMBOL(newpage);
+ADDSYMBOL(ni);
+ADDSYMBOL(nobreak);
+ADDSYMBOL(offset);
+ADDSYMBOL(opacity);
+ADDSYMBOL(p);
+ADDSYMBOL(palette);
+ADDSYMBOL(pdf);
+ADDSYMBOL(pena);
+ADDSYMBOL(penb);
+ADDSYMBOL(postscript);
+ADDSYMBOL(prc);
+ADDSYMBOL(prcshininess);
+ADDSYMBOL(preamble);
+ADDSYMBOL(prefix);
+ADDSYMBOL(prepend);
+ADDSYMBOL(ra);
+ADDSYMBOL(radialshade);
+ADDSYMBOL(rb);
+ADDSYMBOL(s);
+ADDSYMBOL(shader);
+ADDSYMBOL(shift);
+ADDSYMBOL(shininess);
+ADDSYMBOL(shipout);
+ADDSYMBOL(shipout3);
+ADDSYMBOL(size);
+ADDSYMBOL(size3);
+ADDSYMBOL(specular);
+ADDSYMBOL(src);
+ADDSYMBOL(straight);
+ADDSYMBOL(stroke);
+ADDSYMBOL(t);
+ADDSYMBOL(tensorshade);
+ADDSYMBOL(tessellate);
+ADDSYMBOL(tex);
+ADDSYMBOL(texpreamble);
+ADDSYMBOL(texreset);
+ADDSYMBOL(type);
+ADDSYMBOL(uknot);
+ADDSYMBOL(v);
+ADDSYMBOL(vi);
+ADDSYMBOL(view);
+ADDSYMBOL(viewportlighting);
+ADDSYMBOL(vknot);
+ADDSYMBOL(wait);
+ADDSYMBOL(weights);
+ADDSYMBOL(width);
+ADDSYMBOL(xform);
+ADDSYMBOL(z);
+ADDSYMBOL(zoom);
diff --git a/Build/source/utils/asymptote/runstring.cc b/Build/source/utils/asymptote/runstring.cc
index 8e2ed80d908..5ff0646ce38 100644
--- a/Build/source/utils/asymptote/runstring.cc
+++ b/Build/source/utils/asymptote/runstring.cc
@@ -385,6 +385,8 @@ void gen_runstring12(stack *Stack)
   bool forcemath=vm::pop<bool>(Stack,false);
   string * format=vm::pop<string *>(Stack);
 #line 261 "runstring.in"
+  if(*format == "%") {Stack->push<string>(""); return;} // Temporary workaround for github Issue #29.
+  
   bool tex=getSetting<string>("tex") != "none";
   bool texify=forcemath;
   ostringstream out;
@@ -509,12 +511,12 @@ void gen_runstring12(stack *Stack)
   {Stack->push<string>(out.str()); return;}
 }
 
-#line 386 "runstring.in"
+#line 388 "runstring.in"
 // Int hex(string s);
 void gen_runstring13(stack *Stack)
 {
   string s=vm::pop<string>(Stack);
-#line 387 "runstring.in"
+#line 389 "runstring.in"
   istringstream is(s);
   is.setf(std::ios::hex,std::ios::basefield);
   Int value;
@@ -524,45 +526,45 @@ void gen_runstring13(stack *Stack)
   error(buf);
 }
 
-#line 397 "runstring.in"
+#line 399 "runstring.in"
 // Int ascii(string s);
 void gen_runstring14(stack *Stack)
 {
   string s=vm::pop<string>(Stack);
-#line 398 "runstring.in"
+#line 400 "runstring.in"
   {Stack->push<Int>(s.empty() ? -1 : (unsigned char) s[0]); return;}
 }
 
-#line 402 "runstring.in"
+#line 404 "runstring.in"
 // string string(Int x);
 void gen_runstring15(stack *Stack)
 {
   Int x=vm::pop<Int>(Stack);
-#line 403 "runstring.in"
+#line 405 "runstring.in"
   ostringstream buf;
   buf << x;
   {Stack->push<string>(buf.str()); return;}
 }
 
-#line 409 "runstring.in"
+#line 411 "runstring.in"
 // string string(real x, Int digits=DBL_DIG);
 void gen_runstring16(stack *Stack)
 {
   Int digits=vm::pop<Int>(Stack,DBL_DIG);
   real x=vm::pop<real>(Stack);
-#line 410 "runstring.in"
+#line 412 "runstring.in"
   ostringstream buf;
   buf.precision(digits);
   buf << x;
   {Stack->push<string>(buf.str()); return;}
 }
 
-#line 417 "runstring.in"
+#line 419 "runstring.in"
 // string time(string format=defaulttimeformat);
 void gen_runstring17(stack *Stack)
 {
   string format=vm::pop<string>(Stack,defaulttimeformat);
-#line 418 "runstring.in"
+#line 420 "runstring.in"
 #ifdef HAVE_STRFTIME
   const time_t bintime=time(NULL);
   if(!strftime(Time,nTime,format.c_str(),localtime(&bintime))) {Stack->push<string>(""); return;}
@@ -572,13 +574,13 @@ void gen_runstring17(stack *Stack)
 #endif  
 }
 
-#line 428 "runstring.in"
+#line 430 "runstring.in"
 // string time(Int seconds, string format=defaulttimeformat);
 void gen_runstring18(stack *Stack)
 {
   string format=vm::pop<string>(Stack,defaulttimeformat);
   Int seconds=vm::pop<Int>(Stack);
-#line 429 "runstring.in"
+#line 431 "runstring.in"
 #ifdef HAVE_STRFTIME
   const time_t bintime=seconds;
   if(!strftime(Time,nTime,format.c_str(),localtime(&bintime))) {Stack->push<string>(""); return;}
@@ -590,13 +592,13 @@ void gen_runstring18(stack *Stack)
 #endif
 }
 
-#line 441 "runstring.in"
+#line 443 "runstring.in"
 // Int seconds(string t=emptystring, string format=emptystring);
 void gen_runstring19(stack *Stack)
 {
   string format=vm::pop<string>(Stack,emptystring);
   string t=vm::pop<string>(Stack,emptystring);
-#line 442 "runstring.in"
+#line 444 "runstring.in"
 #if defined(HAVE_STRPTIME)
   const time_t bintime=time(NULL);
   tm tm=*localtime(&bintime);
@@ -639,19 +641,19 @@ void gen_runstring_venv(venv &ve)
   addFunc(ve, run::gen_runstring11, primString() , SYM(format), formal(primString(), SYM(format), false, false), formal(primInt(), SYM(x), false, false), formal(primString() , SYM(locale), true, false));
 #line 259 "runstring.in"
   addFunc(ve, run::gen_runstring12, primString() , SYM(format), formal(primString(), SYM(format), false, false), formal(primBoolean(), SYM(forcemath), true, false), formal(primString() , SYM(separator), false, false), formal(primReal(), SYM(x), false, false), formal(primString() , SYM(locale), true, false));
-#line 386 "runstring.in"
+#line 388 "runstring.in"
   addFunc(ve, run::gen_runstring13, primInt(), SYM(hex), formal(primString() , SYM(s), false, false));
-#line 397 "runstring.in"
+#line 399 "runstring.in"
   addFunc(ve, run::gen_runstring14, primInt(), SYM(ascii), formal(primString() , SYM(s), false, false));
-#line 402 "runstring.in"
+#line 404 "runstring.in"
   addFunc(ve, run::gen_runstring15, primString() , SYM(string), formal(primInt(), SYM(x), false, false));
-#line 409 "runstring.in"
+#line 411 "runstring.in"
   addFunc(ve, run::gen_runstring16, primString() , SYM(string), formal(primReal(), SYM(x), false, false), formal(primInt(), SYM(digits), true, false));
-#line 417 "runstring.in"
+#line 419 "runstring.in"
   addFunc(ve, run::gen_runstring17, primString() , SYM(time), formal(primString() , SYM(format), true, false));
-#line 428 "runstring.in"
+#line 430 "runstring.in"
   addFunc(ve, run::gen_runstring18, primString() , SYM(time), formal(primInt(), SYM(seconds), false, false), formal(primString() , SYM(format), true, false));
-#line 441 "runstring.in"
+#line 443 "runstring.in"
   addFunc(ve, run::gen_runstring19, primInt(), SYM(seconds), formal(primString() , SYM(t), true, false), formal(primString() , SYM(format), true, false));
 }
 
diff --git a/Build/source/utils/asymptote/runstring.in b/Build/source/utils/asymptote/runstring.in
index 03fac3daf62..444d34d644d 100644
--- a/Build/source/utils/asymptote/runstring.in
+++ b/Build/source/utils/asymptote/runstring.in
@@ -259,6 +259,8 @@ string format(string *format, Int x, string locale=emptystring)
 string format(string *format, bool forcemath=false, string separator, real x,
               string locale=emptystring)
 {
+  if(*format == "%") return ""; // Temporary workaround for github Issue #29.
+  
   bool tex=getSetting<string>("tex") != "none";
   bool texify=forcemath;
   ostringstream out;
diff --git a/Build/source/utils/asymptote/runstring.symbols.h b/Build/source/utils/asymptote/runstring.symbols.h
new file mode 100644
index 00000000000..38128a278db
--- /dev/null
+++ b/Build/source/utils/asymptote/runstring.symbols.h
@@ -0,0 +1,39 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(ascii);
+ADDSYMBOL(digits);
+ADDSYMBOL(downcase);
+ADDSYMBOL(erase);
+ADDSYMBOL(find);
+ADDSYMBOL(forcemath);
+ADDSYMBOL(format);
+ADDSYMBOL(hex);
+ADDSYMBOL(insert);
+ADDSYMBOL(length);
+ADDSYMBOL(locale);
+ADDSYMBOL(n);
+ADDSYMBOL(pos);
+ADDSYMBOL(replace);
+ADDSYMBOL(reverse);
+ADDSYMBOL(rfind);
+ADDSYMBOL(s);
+ADDSYMBOL(seconds);
+ADDSYMBOL(separator);
+ADDSYMBOL(string);
+ADDSYMBOL(substr);
+ADDSYMBOL(t);
+ADDSYMBOL(time);
+ADDSYMBOL(translate);
+ADDSYMBOL(upcase);
+ADDSYMBOL(x);
diff --git a/Build/source/utils/asymptote/runsystem.symbols.h b/Build/source/utils/asymptote/runsystem.symbols.h
new file mode 100644
index 00000000000..7cb8be37566
--- /dev/null
+++ b/Build/source/utils/asymptote/runsystem.symbols.h
@@ -0,0 +1,40 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(animate);
+ADDSYMBOL(args);
+ADDSYMBOL(atbreakpoint);
+ADDSYMBOL(atexit);
+ADDSYMBOL(atupdate);
+ADDSYMBOL(breakpoint);
+ADDSYMBOL(breakpoints);
+ADDSYMBOL(clear);
+ADDSYMBOL(convert);
+ADDSYMBOL(divisor);
+ADDSYMBOL(f);
+ADDSYMBOL(file);
+ADDSYMBOL(format);
+ADDSYMBOL(line);
+ADDSYMBOL(locatefile);
+ADDSYMBOL(nowarn);
+ADDSYMBOL(outname);
+ADDSYMBOL(position);
+ADDSYMBOL(purge);
+ADDSYMBOL(s);
+ADDSYMBOL(stop);
+ADDSYMBOL(stripdirectory);
+ADDSYMBOL(stripextension);
+ADDSYMBOL(stripfile);
+ADDSYMBOL(t);
+ADDSYMBOL(warn);
+ADDSYMBOL(warning);
diff --git a/Build/source/utils/asymptote/runtime.symbols.h b/Build/source/utils/asymptote/runtime.symbols.h
new file mode 100644
index 00000000000..ac070cb5958
--- /dev/null
+++ b/Build/source/utils/asymptote/runtime.symbols.h
@@ -0,0 +1,113 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(_cputime);
+ADDSYMBOL(_eval);
+ADDSYMBOL(a);
+ADDSYMBOL(abort);
+ADDSYMBOL(adjust);
+ADDSYMBOL(angle);
+ADDSYMBOL(arclength);
+ADDSYMBOL(assert);
+ADDSYMBOL(asydir);
+ADDSYMBOL(atleast);
+ADDSYMBOL(b);
+ADDSYMBOL(basealign);
+ADDSYMBOL(blend);
+ADDSYMBOL(byte);
+ADDSYMBOL(c);
+ADDSYMBOL(cd);
+ADDSYMBOL(cmyk);
+ADDSYMBOL(colorless);
+ADDSYMBOL(colors);
+ADDSYMBOL(colorspace);
+ADDSYMBOL(controlSpecifier);
+ADDSYMBOL(curlSpecifier);
+ADDSYMBOL(cyclic);
+ADDSYMBOL(defaultpen);
+ADDSYMBOL(dirSpecifier);
+ADDSYMBOL(embedded);
+ADDSYMBOL(exit);
+ADDSYMBOL(f);
+ADDSYMBOL(fillrule);
+ADDSYMBOL(font);
+ADDSYMBOL(fontcommand);
+ADDSYMBOL(fontsize);
+ADDSYMBOL(g);
+ADDSYMBOL(gamma);
+ADDSYMBOL(gray);
+ADDSYMBOL(hex);
+ADDSYMBOL(identity);
+ADDSYMBOL(imports);
+ADDSYMBOL(interactive);
+ADDSYMBOL(interactivewrite);
+ADDSYMBOL(interp);
+ADDSYMBOL(inverse);
+ADDSYMBOL(invisible);
+ADDSYMBOL(isnan);
+ADDSYMBOL(k);
+ADDSYMBOL(length);
+ADDSYMBOL(linecap);
+ADDSYMBOL(linejoin);
+ADDSYMBOL(lineskip);
+ADDSYMBOL(linetype);
+ADDSYMBOL(linewidth);
+ADDSYMBOL(list);
+ADDSYMBOL(locale);
+ADDSYMBOL(location);
+ADDSYMBOL(m);
+ADDSYMBOL(makepen);
+ADDSYMBOL(max);
+ADDSYMBOL(microseconds);
+ADDSYMBOL(min);
+ADDSYMBOL(miterlimit);
+ADDSYMBOL(n);
+ADDSYMBOL(nib);
+ADDSYMBOL(offset);
+ADDSYMBOL(opacity);
+ADDSYMBOL(overwrite);
+ADDSYMBOL(p);
+ADDSYMBOL(pattern);
+ADDSYMBOL(point);
+ADDSYMBOL(r);
+ADDSYMBOL(reflect);
+ADDSYMBOL(resetdefaultpen);
+ADDSYMBOL(reverse);
+ADDSYMBOL(rgb);
+ADDSYMBOL(rotate);
+ADDSYMBOL(s);
+ADDSYMBOL(scale);
+ADDSYMBOL(seconds);
+ADDSYMBOL(shift);
+ADDSYMBOL(shiftless);
+ADDSYMBOL(size);
+ADDSYMBOL(slant);
+ADDSYMBOL(sleep);
+ADDSYMBOL(spec);
+ADDSYMBOL(system);
+ADDSYMBOL(t);
+ADDSYMBOL(tensionSpecifier);
+ADDSYMBOL(tin);
+ADDSYMBOL(tok);
+ADDSYMBOL(tout);
+ADDSYMBOL(transform);
+ADDSYMBOL(uptodate);
+ADDSYMBOL(usleep);
+ADDSYMBOL(view);
+ADDSYMBOL(x);
+ADDSYMBOL(xscale);
+ADDSYMBOL(y);
+ADDSYMBOL(yscale);
+ADDSYMBOL(z);
+ADDSYMBOL(zin);
+ADDSYMBOL(zout);
diff --git a/Build/source/utils/asymptote/runtriple.symbols.h b/Build/source/utils/asymptote/runtriple.symbols.h
new file mode 100644
index 00000000000..581ed2aaa3c
--- /dev/null
+++ b/Build/source/utils/asymptote/runtriple.symbols.h
@@ -0,0 +1,44 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(a);
+ADDSYMBOL(abs);
+ADDSYMBOL(azimuth);
+ADDSYMBOL(b);
+ADDSYMBOL(bezier);
+ADDSYMBOL(bezierP);
+ADDSYMBOL(bezierPP);
+ADDSYMBOL(bezierPPP);
+ADDSYMBOL(c);
+ADDSYMBOL(colatitude);
+ADDSYMBOL(cross);
+ADDSYMBOL(d);
+ADDSYMBOL(dir);
+ADDSYMBOL(dot);
+ADDSYMBOL(expi);
+ADDSYMBOL(latitude);
+ADDSYMBOL(length);
+ADDSYMBOL(longitude);
+ADDSYMBOL(perp);
+ADDSYMBOL(polar);
+ADDSYMBOL(realmult);
+ADDSYMBOL(t);
+ADDSYMBOL(u);
+ADDSYMBOL(unit);
+ADDSYMBOL(v);
+ADDSYMBOL(warn);
+ADDSYMBOL(x);
+ADDSYMBOL(xpart);
+ADDSYMBOL(ypart);
+ADDSYMBOL(z);
+ADDSYMBOL(zpart);
diff --git a/Build/source/utils/asymptote/types.symbols.h b/Build/source/utils/asymptote/types.symbols.h
new file mode 100644
index 00000000000..c1657e3a36f
--- /dev/null
+++ b/Build/source/utils/asymptote/types.symbols.h
@@ -0,0 +1,51 @@
+/*****
+ * This file is automatically generated by findsym.pl
+ * Changes will be overwritten.
+ *****/
+
+// If the ADDSYMBOL macro is not already defined, define it with the default
+// purpose of referring to an external pre-translated symbol, such that
+// SYM(name) also refers to that symbol.
+#ifndef ADDSYMBOL
+    #define ADDSYMBOL(name) extern sym::symbol PRETRANSLATED_SYMBOL_##name
+    #define SYM(name) PRETRANSLATED_SYMBOL_##name
+#endif
+
+ADDSYMBOL(a);
+ADDSYMBOL(append);
+ADDSYMBOL(atLeast);
+ADDSYMBOL(b);
+ADDSYMBOL(csv);
+ADDSYMBOL(cyclic);
+ADDSYMBOL(delete);
+ADDSYMBOL(dimension);
+ADDSYMBOL(i);
+ADDSYMBOL(in);
+ADDSYMBOL(initialized);
+ADDSYMBOL(insert);
+ADDSYMBOL(j);
+ADDSYMBOL(keys);
+ADDSYMBOL(length);
+ADDSYMBOL(line);
+ADDSYMBOL(mode);
+ADDSYMBOL(name);
+ADDSYMBOL(nx);
+ADDSYMBOL(ny);
+ADDSYMBOL(nz);
+ADDSYMBOL(out);
+ADDSYMBOL(pop);
+ADDSYMBOL(push);
+ADDSYMBOL(read);
+ADDSYMBOL(side);
+ADDSYMBOL(signedint);
+ADDSYMBOL(singleint);
+ADDSYMBOL(singlereal);
+ADDSYMBOL(value);
+ADDSYMBOL(word);
+ADDSYMBOL(x);
+ADDSYMBOL(xx);
+ADDSYMBOL(xy);
+ADDSYMBOL(y);
+ADDSYMBOL(yx);
+ADDSYMBOL(yy);
+ADDSYMBOL(z);