texlive[54566] Build/source/utils: asy 2.65 sources
commits+karl at tug.org
commits+karl at tug.org
Thu Mar 26 22:33:06 CET 2020
Revision: 54566
http://tug.org/svn/texlive?view=revision&revision=54566
Author: karl
Date: 2020-03-26 22:33:06 +0100 (Thu, 26 Mar 2020)
Log Message:
-----------
asy 2.65 sources
Modified Paths:
--------------
trunk/Build/source/utils/README
trunk/Build/source/utils/asymptote/ChangeLog
trunk/Build/source/utils/asymptote/GUI/icons_rc.py
trunk/Build/source/utils/asymptote/ReleaseNotes
trunk/Build/source/utils/asymptote/asy-keywords.el
trunk/Build/source/utils/asymptote/asy.list
trunk/Build/source/utils/asymptote/asymptote.spec
trunk/Build/source/utils/asymptote/base/three_surface.asy
trunk/Build/source/utils/asymptote/base/three_tube.asy
trunk/Build/source/utils/asymptote/base/webgl/asygl.js
trunk/Build/source/utils/asymptote/configure
trunk/Build/source/utils/asymptote/configure.ac
trunk/Build/source/utils/asymptote/doc/CAD.pdf
trunk/Build/source/utils/asymptote/doc/FAQ/asy-faq.info
trunk/Build/source/utils/asymptote/doc/TeXShopAndAsymptote.pdf
trunk/Build/source/utils/asymptote/doc/asy-latex.pdf
trunk/Build/source/utils/asymptote/doc/asyRefCard.pdf
trunk/Build/source/utils/asymptote/doc/asymptote.pdf
trunk/Build/source/utils/asymptote/doc/png/asymptote.info
trunk/Build/source/utils/asymptote/drawpath3.cc
trunk/Build/source/utils/asymptote/drawsurface.cc
trunk/Build/source/utils/asymptote/glrender.cc
trunk/Build/source/utils/asymptote/glrender.h
trunk/Build/source/utils/asymptote/picture.cc
trunk/Build/source/utils/asymptote/pipestream.cc
trunk/Build/source/utils/asymptote/pipestream.h
trunk/Build/source/utils/asymptote/revision.cc
trunk/Build/source/utils/asymptote/webgl/gl.js
Modified: trunk/Build/source/utils/README
===================================================================
--- trunk/Build/source/utils/README 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/README 2020-03-26 21:33:06 UTC (rev 54566)
@@ -4,7 +4,7 @@
Extra utilities we (optionally) compile for TeX Live.
See comments in ../texk/README.
-asymptote 2.64 - checked 5mar20
+asymptote 2.65 - checked 26mar20
update to TL from CTAN, to include prebuilt doc.
see http://tug.org/texlive/build.html#asymptote
and tlpkg/bin/tl-update-asy
Modified: trunk/Build/source/utils/asymptote/ChangeLog
===================================================================
--- trunk/Build/source/utils/asymptote/ChangeLog 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/ChangeLog 2020-03-26 21:33:06 UTC (rev 54566)
@@ -1,3 +1,39 @@
+commit 1566850db2aac0b78ec9806e35af514e7a185e63
+Author: John Bowman <bowman at ualberta.ca>
+Date: Tue Mar 24 23:30:17 2020 -0600
+
+ Fix export bug.
+
+commit 48777621e61327bf6c8e3492739066495693b91c
+Author: John Bowman <bowman at ualberta.ca>
+Date: Sat Mar 21 23:44:05 2020 -0600
+
+ Add triple perp=O argument to rmf(path3, real[] t); don't cache previous perp.
+
+commit 5a3fd21eddb4b6416a664581cfa9bf324b8889b1
+Author: John Bowman <bowman at ualberta.ca>
+Date: Tue Mar 10 14:56:11 2020 -0600
+
+ Detect failure of TeX pipe.
+
+commit f9bc3f2bbdbb382a1cbf15b7b977608900b2d804
+Author: John Bowman <bowman at ualberta.ca>
+Date: Wed Mar 4 22:44:32 2020 -0700
+
+ Update asygl.
+
+commit 98f09b5f3bf009702c56ecca6378277c0e0d7e11
+Author: John Bowman <bowman at ualberta.ca>
+Date: Wed Mar 4 22:00:02 2020 -0700
+
+ Improve nondegenerate sphere.
+
+commit cfa1c9f263e911be76719413e10abed2a2ad25cd
+Author: John Bowman <bowman at ualberta.ca>
+Date: Tue Mar 3 21:44:25 2020 -0700
+
+ Increment version to 2.65.
+
commit df95759c3752e7fc902894ce73ba86d91e16a5e9
Merge: 396d060c ae3dc713
Author: John Bowman <bowman at ualberta.ca>
Modified: trunk/Build/source/utils/asymptote/GUI/icons_rc.py
===================================================================
--- trunk/Build/source/utils/asymptote/GUI/icons_rc.py 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/GUI/icons_rc.py 2020-03-26 21:33:06 UTC (rev 54566)
@@ -9,140 +9,13 @@
from PyQt5 import QtCore
qt_resource_data = b"\
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qt_resource_name = b"\
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qt_resource_struct_v1 = b"\
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"
qt_resource_struct_v2 = b"\
@@ -2620,88 +2620,88 @@
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+\x00\x00\x01\x71\x14\x51\x77\x38\
"
qt_version = [int(v) for v in QtCore.qVersion().split('.')]
Modified: trunk/Build/source/utils/asymptote/ReleaseNotes
===================================================================
--- trunk/Build/source/utils/asymptote/ReleaseNotes 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/ReleaseNotes 2020-03-26 21:33:06 UTC (rev 54566)
@@ -1,6 +1,15 @@
+Release Notes for Version 2.65
+
+A bug in rendering 2D preview images of a 3D scene was fixed.
+The 100-error TeX limit is gracefully detected, rather than hanging.
+A more accurate Bezier approximation to the sphere was implemented.
+An initial perpendicular direction can now be specified for the
+rotation minimizing frame for a path3; the previous direction is
+no longer cached between calls.
+
Release Notes for Version 2.64
-Discontinuities were removed from the rotating minimizing frame used for
+Discontinuities were removed from the rotation minimizing frame used for
constructing tubes. A work around was implemented for an incorrect
declaration in obsolete versions of the NetBSD readline header file.
Modified: trunk/Build/source/utils/asymptote/asy-keywords.el
===================================================================
--- trunk/Build/source/utils/asymptote/asy-keywords.el 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/asy-keywords.el 2020-03-26 21:33:06 UTC (rev 54566)
@@ -2,7 +2,7 @@
;; This file is automatically generated by asy-list.pl.
;; Changes will be overwritten.
;;
-(defvar asy-keywords-version "2.64")
+(defvar asy-keywords-version "2.65")
(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 ))
Modified: trunk/Build/source/utils/asymptote/asy.list
===================================================================
--- trunk/Build/source/utils/asymptote/asy.list 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/asy.list 2020-03-26 21:33:06 UTC (rev 54566)
@@ -254,18 +254,18 @@
int search(real[] a, real key);
int search(string[] a, string key);
int search(void()()[] a, void key()(), bool less(void()(), void()()));
+int search(picture[] a, picture key, bool less(picture, picture));
int search(real[] a, real key, bool less(real, real));
int search(guide[] a, guide key, bool less(guide, guide));
int search(object[] a, object key, bool less(object, object));
-int search(Legend[] a, Legend key, bool less(Legend, Legend));
int search(pair[] a, pair key, bool less(pair, pair));
int search(coord[] a, coord key, bool less(coord, coord));
int search(Label[] a, Label key, bool less(Label, Label));
int search(frame[] a, frame key, bool less(frame, frame));
int search(coord[] a, coord key, bool less(coord, coord));
+int search(Legend[] a, Legend key, bool less(Legend, Legend));
int search(int[] a, int key, bool less(int, int));
int search(bool3[] a, bool3 key, bool less(bool3, bool3));
-int search(picture[] a, picture key, bool less(picture, picture));
int search(string[] a, string key, bool less(string, string));
int search(path[] a, path key, bool less(path, path));
int search(pen[] a, pen key, bool less(pen, pen));
@@ -576,9 +576,9 @@
real[] map(real f(pair), pair[] a);
int[] map(int f(real), real[] a);
bool3[] map(bool3 f(bool3), bool3[] a);
-picture[] map(picture f(picture), picture[] a);
frame[] map(frame f(frame), frame[] a);
coord[] map(coord f(coord), coord[] a);
+Legend[] map(Legend f(Legend), Legend[] a);
pen[][] map(pen[] f(pen[]), pen[][] a);
triple[] map(triple f(triple), triple[] a);
pen[] map(pen f(pen), pen[] a);
@@ -586,8 +586,8 @@
Label[] map(Label f(Label), Label[] a);
pair[] map(pair f(pair), pair[] a);
object[] map(object f(object), object[] a);
-Legend[] map(Legend f(Legend), Legend[] a);
string[] map(string f(string), string[] a);
+picture[] map(picture f(picture), picture[] a);
void()()[] map(void f()()(void()()), void()()[] a);
pair[][] map(pair[] f(pair[]), pair[][] a);
real[] map(real f(real), real[] a);
@@ -884,7 +884,6 @@
void write(file file=<default>, string s=<default>, pen x, void suffix(file)=<default> ... pen[]);
void write(file file, string s=<default>, explicit guide[] x, void suffix(file)=<default>);
void write(string s=<default>, cputime c, string format=<default>, void suffix(file)=<default>);
-void write(pairOrTriple a);
void write(string s=<default>, explicit path[] x, void suffix(file)=<default>);
void write(file file, void suffix(file)=<default>);
void write(file file=<default>, string s=<default>, pen[] p);
@@ -891,6 +890,7 @@
void write(void suffix(file)=<default>);
void write(file file, string s=<default>, explicit path[] x, void suffix(file)=<default>);
void write(file file=<default>, align align, void suffix(file)=<default>);
+void write(pairOrTriple a);
void write(file file, string s=<default>, cputime c, string format=<default>, void suffix(file)=<default>);
void write(string s=<default>, bool3 b, void suffix(file)=<default>);
void write(file file, string s=<default>, bool3 b, void suffix(file)=<default>);
@@ -949,18 +949,18 @@
arrowhead HookHead(real dir=<default>, real barb=<default>);
marker[] concat(... marker[][]);
real[] concat(... real[][]);
+picture[] concat(... picture[][]);
pair[] concat(... pair[][]);
object[] concat(... object[][]);
-Legend[] concat(... Legend[][]);
pen[] concat(... pen[][]);
coord[] concat(... coord[][]);
Label[] concat(... Label[][]);
path[] concat(... path[][]);
coord[] concat(... coord[][]);
+Legend[] concat(... Legend[][]);
int[] concat(... int[][]);
void()()[] concat(... void()()[][]);
bool3[] concat(... bool3[][]);
-picture[] concat(... picture[][]);
string[] concat(... string[][]);
triple[] concat(... triple[][]);
frame[] concat(... frame[][]);
@@ -976,12 +976,13 @@
bool alias(coord[] a, coord[] b);
bool alias(light a, light b);
bool alias(align a, align b);
+bool alias(Legend[] a, Legend[] b);
bool alias(processtime a, processtime b);
bool alias(pair[] a, pair[] b);
bool alias(scaling a, scaling b);
bool alias(coord a, coord b);
bool alias(coords3 a, coords3 b);
-bool alias(ScaleT a, ScaleT b);
+bool alias(node a, node b);
bool alias(Label a, Label b);
bool alias(int[] a, int[] b);
bool alias(string[][] a, string[][] b);
@@ -988,23 +989,21 @@
bool alias(slice a, slice b);
bool alias(freezableBounds a, freezableBounds b);
bool alias(transformation a, transformation b);
-bool alias(pairOrTriple a, pairOrTriple b);
+bool alias(scaleT a, scaleT b);
bool alias(object[] a, object[] b);
bool alias(marker a, marker b);
-bool alias(Legend[] a, Legend[] b);
bool alias(real[][] a, real[][] b);
bool alias(bool3 a, bool3 b);
bool alias(bool3[] a, bool3[] b);
-bool alias(scaleT a, scaleT b);
-bool alias(picture a, picture b);
+bool alias(autoscaleT a, autoscaleT b);
+bool alias(ScaleT a, ScaleT b);
bool alias(side a, side b);
-bool alias(picture[] a, picture[] b);
bool alias(cputime a, cputime b);
bool alias(string[] a, string[] b);
bool alias(frame[] a, frame[] b);
bool alias(coords2 a, coords2 b);
bool alias(scaling a, scaling b);
-bool alias(Legend a, Legend b);
+bool alias(pairOrTriple a, pairOrTriple b);
bool alias(object a, object b);
bool alias(marker[] a, marker[] b);
bool alias(bool[] a, bool[] b);
@@ -1020,13 +1019,14 @@
bool alias(triple[] a, triple[] b);
bool alias(coord a, coord b);
bool alias(bounds a, bounds b);
-bool alias(autoscaleT a, autoscaleT b);
+bool alias(Legend a, Legend b);
bool alias(position a, position b);
bool alias(real[] a, real[] b);
bool alias(pen[] a, pen[] b);
bool alias(hsv a, hsv b);
bool alias(coords2 a, coords2 b);
-bool alias(node a, node b);
+bool alias(picture a, picture b);
+bool alias(picture[] a, picture[] b);
real pi;
int getint(string name=<default>, int default=<default>, string prompt=<default>, bool store=<default>);
int bitreverse(int a, int bits);
@@ -1370,13 +1370,13 @@
path3 operator *(real[][] t, path3 g);
side operator *(real x, side s);
Label operator *(real[][] t, Label L);
-picture operator *(real[][] t, picture orig);
+picture operator *(transform t, picture orig);
object operator *(transform t, explicit object F);
path[] operator *(transform t, explicit path[] p);
Label operator *(transform t, Label L);
pair[] operator *(transform t, pair[] z);
bounds operator *(transform t, bounds b);
-picture operator *(transform t, picture orig);
+picture operator *(real[][] t, picture orig);
bool operator init();
int operator init();
real operator init();
@@ -1400,27 +1400,27 @@
arrowhead operator init();
slice operator init();
transformation operator init();
-pairOrTriple operator init();
+scaleT operator init();
marker operator init();
hsv operator init();
coords2 operator init();
-node operator init();
+picture operator init();
coords2 operator init();
scaling operator init();
-Legend operator init();
+pairOrTriple operator init();
object operator init();
scaling operator init();
coord operator init();
coords3 operator init();
-ScaleT operator init();
+node operator init();
Label operator init();
coord operator init();
bounds operator init();
-autoscaleT operator init();
+Legend operator init();
position operator init();
bool3 operator init();
-scaleT operator init();
-picture operator init();
+autoscaleT operator init();
+ScaleT operator init();
side operator init();
cputime operator init();
real operator cast(int);
@@ -1466,6 +1466,8 @@
guide operator cast(tensionSpecifier t);
align operator cast(side side);
guide[] operator cast(path[] g);
+pair operator cast(pairOrTriple a);
+triple operator cast(pairOrTriple a);
frame operator cast(object F);
hsv operator cast(pen p);
bool3[] operator cast(bool[] b);
@@ -1483,8 +1485,6 @@
align operator cast(triple dir);
path[] operator cast(path p);
bool[] operator cast(bool3[] b);
-pair operator cast(pairOrTriple a);
-triple operator cast(pairOrTriple a);
bool3 operator cast(bool b);
position operator cast(int x);
object operator cast(string s);
@@ -1595,13 +1595,13 @@
bool operator ==(path a, path b);
bool operator ==(path3 a, path3 b);
bool operator ==(bool3 a, bool3 b);
-bool operator ==(scaleT a, scaleT b);
-bool operator ==(picture a, picture b);
+bool operator ==(autoscaleT a, autoscaleT b);
+bool operator ==(ScaleT a, ScaleT b);
bool operator ==(side a, side b);
bool operator ==(cputime a, cputime b);
bool operator ==(coords2 a, coords2 b);
bool operator ==(scaling a, scaling b);
-bool operator ==(Legend a, Legend b);
+bool operator ==(pairOrTriple a, pairOrTriple b);
bool operator ==(object a, object b);
bool operator ==(filltype a, filltype b);
bool operator ==(simplex a, simplex b);
@@ -1609,11 +1609,11 @@
bool operator ==(arrowhead a, arrowhead b);
bool operator ==(coord a, coord b);
bool operator ==(bounds a, bounds b);
-bool operator ==(autoscaleT a, autoscaleT b);
+bool operator ==(Legend a, Legend b);
bool operator ==(position a, position b);
bool operator ==(hsv a, hsv b);
bool operator ==(coords2 a, coords2 b);
-bool operator ==(node a, node b);
+bool operator ==(picture a, picture b);
bool operator ==(bool3 a, bool b);
bool operator ==(marginT a, marginT b);
bool operator ==(light a, light b);
@@ -1622,13 +1622,13 @@
bool operator ==(scaling a, scaling b);
bool operator ==(coord a, coord b);
bool operator ==(coords3 a, coords3 b);
-bool operator ==(ScaleT a, ScaleT b);
+bool operator ==(node a, node b);
bool operator ==(Label a, Label b);
bool operator ==(bool a, bool3 b);
bool operator ==(slice a, slice b);
bool operator ==(freezableBounds a, freezableBounds b);
bool operator ==(transformation a, transformation b);
-bool operator ==(pairOrTriple a, pairOrTriple b);
+bool operator ==(scaleT a, scaleT b);
bool operator ==(marker a, marker b);
bool operator !=(bool a, bool b);
bool[] operator !=(bool a, bool[] b);
@@ -1667,13 +1667,13 @@
bool operator !=(path a, path b);
bool operator !=(path3 a, path3 b);
bool operator !=(bool3 a, bool3 b);
-bool operator !=(scaleT a, scaleT b);
-bool operator !=(picture a, picture b);
+bool operator !=(autoscaleT a, autoscaleT b);
+bool operator !=(ScaleT a, ScaleT b);
bool operator !=(side a, side b);
bool operator !=(cputime a, cputime b);
bool operator !=(coords2 a, coords2 b);
bool operator !=(scaling a, scaling b);
-bool operator !=(Legend a, Legend b);
+bool operator !=(pairOrTriple a, pairOrTriple b);
bool operator !=(object a, object b);
bool operator !=(filltype a, filltype b);
bool operator !=(simplex a, simplex b);
@@ -1681,11 +1681,11 @@
bool operator !=(arrowhead a, arrowhead b);
bool operator !=(coord a, coord b);
bool operator !=(bounds a, bounds b);
-bool operator !=(autoscaleT a, autoscaleT b);
+bool operator !=(Legend a, Legend b);
bool operator !=(position a, position b);
bool operator !=(hsv a, hsv b);
bool operator !=(coords2 a, coords2 b);
-bool operator !=(node a, node b);
+bool operator !=(picture a, picture b);
bool operator !=(bool3 a, bool b);
bool operator !=(marginT a, marginT b);
bool operator !=(light a, light b);
@@ -1694,13 +1694,13 @@
bool operator !=(scaling a, scaling b);
bool operator !=(coord a, coord b);
bool operator !=(coords3 a, coords3 b);
-bool operator !=(ScaleT a, ScaleT b);
+bool operator !=(node a, node b);
bool operator !=(Label a, Label b);
bool operator !=(bool a, bool3 b);
bool operator !=(slice a, slice b);
bool operator !=(freezableBounds a, freezableBounds b);
bool operator !=(transformation a, transformation b);
-bool operator !=(pairOrTriple a, pairOrTriple b);
+bool operator !=(scaleT a, scaleT b);
bool operator !=(marker a, marker b);
bool operator <(int a, int b);
bool[] operator <(int a, int[] b);
Modified: trunk/Build/source/utils/asymptote/asymptote.spec
===================================================================
--- trunk/Build/source/utils/asymptote/asymptote.spec 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/asymptote.spec 2020-03-26 21:33:06 UTC (rev 54566)
@@ -3,7 +3,7 @@
%global __python %{__python3}
Name: asymptote
-Version: 2.64
+Version: 2.65
Release: 1%{?dist}
Summary: Descriptive vector graphics language
Modified: trunk/Build/source/utils/asymptote/base/three_surface.asy
===================================================================
--- trunk/Build/source/utils/asymptote/base/three_surface.asy 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/base/three_surface.asy 2020-03-26 21:33:06 UTC (rev 54566)
@@ -2063,7 +2063,6 @@
}
private real a=4/3*(sqrt(2)-1);
-private real f=0.5*sqrt(3)*a^2;
private transform3 t1=rotate(90,O,Z);
private transform3 t2=t1*t1;
@@ -2074,14 +2073,29 @@
restricted patch octant1x=patch(X{Y}..{-X}Y{Z}..{-Y}Z..Z{X}..{-Z}cycle,
new triple[] {(1,a,a),(a,1,a),(a^2,a,1),
(a,a^2,1)});
-private triple[][][] P=hsplit(octant1x.P,
- intersect((1,0){N}..{W}(0,1),(0,0)--2*dir(60))[0]);
+
+surface octant1(real transition)
+{
+ private triple[][][] P=hsplit(octant1x.P,transition);
+ private patch P0=patch(P[0]);
+ private patch P1=patch(P[1][0][0]..controls P[1][1][0] and P[1][2][0]..
+ P[1][3][0]..controls P[1][3][1] and P[1][3][2]..
+ P[1][3][3]..controls P[1][0][2] and P[1][0][1]..
+ cycle,O);
+
+ // Set internal control point of P1 to match normals at P0.point(1/2,1).
+ triple n=P0.normal(1/2,1);
+ triple[][] P=P1.P;
+ triple u=-P[0][0]-P[1][0]+P[2][0]+P[3][0];
+ triple v=-P[0][0]-2*P[1][0]+P[1][1]-P[2][0]+P[3][1];
+ triple w=cross(u,v+(0,0,2));
+ real i=0.5*(n.z*w.x/n.x-w.z)/(u.x-u.y);
+ P1.P[2][1]=(i,i,1);
+ return surface(P0,P1);
+}
+
// Nondegenerate first octant
-surface octant1=surface(patch(P[0]),
- patch(P[1][0][0]..controls P[1][1][0] and P[1][2][0]..
- P[1][3][0]..controls P[1][3][1] and P[1][3][2]..
- P[1][3][3]..controls P[1][0][2] and P[1][0][1]..
- cycle,(f,f,1)));
+restricted surface octant1=octant1(0.95);
restricted surface unithemisphere=surface(octant1,t1*octant1,t2*octant1,
t3*octant1);
Modified: trunk/Build/source/utils/asymptote/base/three_tube.asy
===================================================================
--- trunk/Build/source/utils/asymptote/base/three_tube.asy 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/base/three_tube.asy 2020-03-26 21:33:06 UTC (rev 54566)
@@ -14,12 +14,10 @@
// Rotation minimizing frame
// http://www.cs.hku.hk/research/techreps/document/TR-2007-07.pdf
-rmf[] rmf(path3 g, real[] t)
+rmf[] rmf(path3 g, real[] t, triple perp=O)
{
- static triple s0;
triple T=dir(g,0);
- triple Tp=cross(s0,T);
- Tp=abs(Tp) < sqrtEpsilon ? perp(T) : unit(Tp);
+ triple Tp=abs(perp) < sqrtEpsilon ? perp(T) : unit(perp);
rmf[] R=new rmf[t.length];
R[0]=rmf(point(g,0),Tp,T);
for(int i=1; i < t.length; ++i) {
@@ -40,11 +38,10 @@
} else
R[i]=R[i-1];
}
- s0=R[t.length-1].s;
return R;
}
-rmf[] rmf(triple z0, triple c0, triple c1, triple z1, real[] t)
+rmf[] rmf(triple z0, triple c0, triple c1, triple z1, real[] t, triple perp=O)
{
static triple s0;
@@ -76,7 +73,7 @@
T=z1-z0+3.0*(c0-c1);
}
T=unit(T);
- triple Tp=cross(s0,T);
+ triple Tp=perp == O ? cross(s0,T) : perp;
Tp=abs(Tp) < sqrtEpsilon ? perp(T) : unit(Tp);
rmf[] R=new rmf[t.length];
R[0]=rmf(z0,Tp,T);
Modified: trunk/Build/source/utils/asymptote/base/webgl/asygl.js
===================================================================
--- trunk/Build/source/utils/asymptote/base/webgl/asygl.js 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/base/webgl/asygl.js 2020-03-26 21:33:06 UTC (rev 54566)
@@ -36,4 +36,4 @@
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.*/
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]=x*r+M*h+b*m+A*v,t[14]=x*n+M*l+b*f+A*g,t[15]=x*s+M*d+b*u+A*w,t}}])});let canvasWidth,canvasHeight,b,B,angle,Zoom0,viewportmargin,zoomFactor,zoomPinchFactor,zoomPinchCap,zoomStep,shiftHoldDistance,shiftWaitTime,vibrateTime,embedded,canvas,gl,alpha,offscreen,context,maxMaterials,halfCanvasWidth,halfCanvasHeight,Zoom,P=[],Materials=[],Lights=[],Centers=[],Background=[1,1,1,1],absolute=!1,viewportshift=[0,0],nlights=0,Nmaterials=2,materials=[],pixel=.75,FillFactor=.1,maxViewportWidth=window.innerWidth,maxViewportHeight=window.innerHeight;const windowTrim=10;let lastzoom,H,zmin,zmax,size2,ArcballFactor,positionBuffer,materialBuffer,colorBuffer,indexBuffer,resizeStep=1.2,third=1/3,rotMat=mat4.create(),projMat=mat4.create(),viewMat=mat4.create(),projViewMat=mat4.create(),normMat=mat3.create(),viewMat3=mat3.create(),cjMatInv=mat4.create(),T=mat4.create(),center={x:0,y:0,z:0},shift={x:0,y:0},viewParam={xmin:0,xmax:0,ymin:0,ymax:0,zmin:0,zmax:0},remesh=!0,wireframe=0,mouseDownOrTouchActive=!1,lastMouseX=null,lastMouseY=null,touchID=null,Positions=[],Normals=[],Colors=[],Indices=[];class Material{constructor(t,e,i,a,r,n){this.diffuse=t,this.emissive=e,this.specular=i,this.shininess=a,this.metallic=r,this.fresnel0=n}setUniform(t,e){let i=i=>gl.getUniformLocation(t,"Materials["+e+"]."+i);gl.uniform4fv(i("diffuse"),new Float32Array(this.diffuse)),gl.uniform4fv(i("emissive"),new Float32Array(this.emissive)),gl.uniform4fv(i("specular"),new Float32Array(this.specular)),gl.uniform4f(i("parameters"),this.shininess,this.metallic,this.fresnel0,0)}}let indexExt,TRIANGLES,material0Data,material1Data,materialData,colorData,transparentData,triangleData,materialIndex,enumPointLight=1,enumDirectionalLight=2;class Light{constructor(t,e){this.direction=t,this.color=e}setUniform(t,e){let i=i=>gl.getUniformLocation(t,"Lights["+e+"]."+i);gl.uniform3fv(i("direction"),new Float32Array(this.direction)),gl.uniform3fv(i("color"),new Float32Array(this.color))}}function initShaders(){let t=gl.getParameter(gl.MAX_VERTEX_UNIFORM_VECTORS);maxMaterials=!
Math.floor((t-14)/4),Nmaterials=Math.min(Math.max(Nmaterials,Materials.length),maxMaterials),pixelShader=initShader(["WIDTH"]),materialShader=initShader(["NORMAL"]),colorShader=initShader(["NORMAL","COLOR"]),transparentShader=initShader(["NORMAL","COLOR","TRANSPARENT"])}function deleteShaders(){gl.deleteProgram(transparentShader),gl.deleteProgram(colorShader),gl.deleteProgram(materialShader),gl.deleteProgram(pixelShader)}function setBuffers(){positionBuffer=gl.createBuffer(),materialBuffer=gl.createBuffer(),colorBuffer=gl.createBuffer(),indexBuffer=gl.createBuffer()}function noGL(){gl||alert("Could not initialize WebGL")}function saveAttributes(){let t=window.top.document.asygl[alpha];t.gl=gl,t.nlights=Lights.length,t.Nmaterials=Nmaterials,t.maxMaterials=maxMaterials,t.pixelShader=pixelShader,t.materialShader=materialShader,t.colorShader=colorShader,t.transparentShader=transparentShader}function restoreAttributes(){let t=window.top.document.asygl[alpha];gl=t.gl,nlights=t.nlights,Nmaterials=t.Nmaterials,maxMaterials=t.maxMaterials,pixelShader=t.pixelShader,materialShader=t.materialShader,colorShader=t.colorShader,transparentShader=t.transparentShader}function initGL(){if(alpha=Background[3]<1,embedded){let t=window.top.document;null==t.asygl&&(t.asygl=Array(2)),context=canvas.getContext("2d"),(offscreen=t.offscreen)||(offscreen=t.createElement("canvas"),t.offscreen=offscreen),t.asygl[alpha]&&t.asygl[alpha].gl?(restoreAttributes(),(Lights.length!=nlights||Math.min(Materials.length,maxMaterials)>Nmaterials)&&(initShaders(),saveAttributes())):((gl=offscreen.getContext("webgl",{alpha:alpha}))||noGL(),initShaders(),t.asygl[alpha]={},saveAttributes())}else(gl=canvas.getContext("webgl",{alpha:alpha}))||noGL(),initShaders();setBuffers(),indexExt=gl.getExtension("OES_element_index_uint"),TRIANGLES=gl.TRIANGLES,material0Data=new vertexBuffer(gl.POINTS),material1Data=new vertexBuffer(gl.LINES),materialData=new vertexBuffer,colorData=new vertexBuffer,transparentData=new vertexBuffer,triangleData=new vertexBuffer}function get!
Shader(t,e,i,a=[]){let r=`#version 100\n#ifdef GL_FRAGMENT_PRECISION_HIGH\n precision highp float;\n#else\n precision mediump float;\n#endif\n #define nlights ${0==wireframe?Lights.length:0}\n\n const int Nlights=${Math.max(Lights.length,1)};\n\n #define Nmaterials ${Nmaterials}\n`;orthographic&&(r+="#define ORTHOGRAPHIC\n"),a.forEach(t=>r+="#define "+t+"\n");let n=t.createShader(i);return t.shaderSource(n,r+e),t.compileShader(n),t.getShaderParameter(n,t.COMPILE_STATUS)?n:(alert(t.getShaderInfoLog(n)),null)}function drawBuffer(t,e,i=t.indices){if(0==t.indices.length)return;let a=e!=pixelShader;setUniforms(t,e),gl.bindBuffer(gl.ARRAY_BUFFER,positionBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Float32Array(t.vertices),gl.STATIC_DRAW),gl.vertexAttribPointer(positionAttribute,3,gl.FLOAT,!1,a?24:16,0),a&&Lights.length>0?gl.vertexAttribPointer(normalAttribute,3,gl.FLOAT,!1,24,12):pixel&&gl.vertexAttribPointer(widthAttribute,1,gl.FLOAT,!1,16,12),gl.bindBuffer(gl.ARRAY_BUFFER,materialBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Int16Array(t.materialIndices),gl.STATIC_DRAW),gl.vertexAttribPointer(materialAttribute,1,gl.SHORT,!1,2,0),e!=colorShader&&e!=transparentShader||(gl.bindBuffer(gl.ARRAY_BUFFER,colorBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Uint8Array(t.colors),gl.STATIC_DRAW),gl.vertexAttribPointer(colorAttribute,4,gl.UNSIGNED_BYTE,!0,0,0)),gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER,indexBuffer),gl.bufferData(gl.ELEMENT_ARRAY_BUFFER,indexExt?new Uint32Array(i):new Uint16Array(i),gl.STATIC_DRAW),gl.drawElements(a?wireframe?gl.LINES:t.type:gl.POINTS,i.length,indexExt?gl.UNSIGNED_INT:gl.UNSIGNED_SHORT,0)}class vertexBuffer{constructor(t){this.type=t||TRIANGLES,this.clear()}clear(){this.vertices=[],this.materialIndices=[],this.colors=[],this.indices=[],this.nvertices=0,this.materials=[],this.materialTable=[]}vertex(t,e){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.materialIndices.push(materialIndex),this.nver!
tices++}Vertex(t,e,i=[0,0,0,0]){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.materialIndices.push(materialIndex),this.colors.push(i[0]),this.colors.push(i[1]),this.colors.push(i[2]),this.colors.push(i[3]),this.nvertices++}vertex0(t,e){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e),this.materialIndices.push(materialIndex),this.nvertices++}iVertex(t,e,i,a=[0,0,0,0]){let r=6*t;this.vertices[r]=e[0],this.vertices[r+1]=e[1],this.vertices[r+2]=e[2],this.vertices[r+3]=i[0],this.vertices[r+4]=i[1],this.vertices[r+5]=i[2],this.materialIndices[t]=materialIndex;let n=4*t;this.colors[n]=a[0],this.colors[n+1]=a[1],this.colors[n+2]=a[2],this.colors[n+3]=a[3],this.indices.push(t)}append(t){append(this.vertices,t.vertices),append(this.materialIndices,t.materialIndices),append(this.colors,t.colors),appendOffset(this.indices,t.indices,this.nvertices),this.nvertices+=t.nvertices}}function append(t,e){let i=t.length,a=e.length;t.length+=a;for(let r=0;r<a;++r)t[i+r]=e[r]}function appendOffset(t,e,i){let a=t.length,r=e.length;t.length+=e.length;for(let n=0;n<r;++n)t[a+n]=e[n]+i}class Geometry{constructor(){this.data=new vertexBuffer,this.Onscreen=!1,this.m=[]}offscreen(t){let e=projViewMat,i=t[0],a=i[0],r=i[1],n=i[2],s=1/(e[3]*a+e[7]*r+e[11]*n+e[15]);this.x=this.X=(e[0]*a+e[4]*r+e[8]*n+e[12])*s,this.y=this.Y=(e[1]*a+e[5]*r+e[9]*n+e[13])*s;for(let i=1,a=t.length;i<a;++i){let a=t[i],r=a[0],n=a[1],s=a[2],o=1/(e[3]*r+e[7]*n+e[11]*s+e[15]),h=(e[0]*r+e[4]*n+e[8]*s+e[12])*o,l=(e[1]*r+e[5]*n+e[9]*s+e[13])*o;h<this.x?this.x=h:h>this.X&&(this.X=h),l<this.y?this.y=l:l>this.Y&&(this.Y=l)}return(this.X<-1.01||this.x>1.01||this.Y<-1.01||this.y>1.01)&&(this.Onscreen=!1,!0)}T(t){let e=this.c[0],i=this.c[1],a=this.c[2],r=t[0]-e,n=t[1]-i,s=t[2]-a;return[r*normMat[0]+n*normMat[3]+s*normMat[6]+e,r*normMat[1]+n*normMat[4]+s*normMat[7]+i,r*normMat[2]+n*normMat[5]+s*normMat[8]+a]}Tcorn!
ers(t,e){return[this.T(t),this.T([t[0],t[1],e[2]]),this.T([t[0],e[1],t[2]]),this.T([t[0],e[1],e[2]]),this.T([e[0],t[1],t[2]]),this.T([e[0],t[1],e[2]]),this.T([e[0],e[1],t[2]]),this.T(e)]}setMaterial(t,e){null==t.materialTable[this.MaterialIndex]&&(t.materials.length>=Nmaterials&&e(),t.materialTable[this.MaterialIndex]=t.materials.length,t.materials.push(Materials[this.MaterialIndex])),materialIndex=t.materialTable[this.MaterialIndex]}render(){let t;if(this.setMaterialIndex(),0==this.CenterIndex?t=corners(this.Min,this.Max):(this.c=Centers[this.CenterIndex-1],t=this.Tcorners(this.Min,this.Max)),this.offscreen(t))return void this.data.clear();let e,i=this.controlpoints;if(0==this.CenterIndex){if(!remesh&&this.Onscreen)return void this.append();e=i}else{let t=i.length;e=Array(t);for(let a=0;a<t;++a)e[a]=this.T(i[a])}let a=orthographic?1:this.Min[2]/B[2],r=pixel*Math.hypot(a*(viewParam.xmax-viewParam.xmin),a*(viewParam.ymax-viewParam.ymin))/size2;this.res2=r*r,this.Epsilon=FillFactor*r,this.data.clear(),this.Onscreen=!0,this.process(e)}}class BezierPatch extends Geometry{constructor(t,e,i,a,r,n){super(),this.controlpoints=t,this.Min=a,this.Max=r,this.color=n,this.CenterIndex=e;let s=t.length;if(n){let t=n[0][3]+n[1][3]+n[2][3];this.transparent=16==s||4==s?t+n[3][3]<1020:t<765}else this.transparent=Materials[i].diffuse[3]<1;this.MaterialIndex=i,this.vertex=this.transparent?this.data.Vertex.bind(this.data):this.data.vertex.bind(this.data),this.L2norm(this.controlpoints)}setMaterialIndex(){this.transparent?this.setMaterial(transparentData,drawTransparent):this.color?this.setMaterial(colorData,drawColor):this.setMaterial(materialData,drawMaterial)}L2norm(t){let e=t[0];this.epsilon=0;let i=t.length;for(let a=1;a<i;++a)this.epsilon=Math.max(this.epsilon,abs2([t[a][0]-e[0],t[a][1]-e[1],t[a][2]-e[2]]));this.epsilon*=Number.EPSILON}processTriangle(t){let e=t[0],i=t[1],a=t[2],r=unit(cross([i[0]-e[0],i[1]-e[1],i[2]-e[2]],[a[0]-e[0],a[1]-e[1],a[2]-e[2]]));if(!this.offscreen([e,i,a])){let t,n,s;this.color?(t=this.data.Vertex(e,r!
,this.color[0]),n=this.data.Vertex(i,r,this.color[1]),s=this.data.Vertex(a,r,this.color[2])):(t=this.vertex(e,r),n=this.vertex(i,r),s=this.vertex(a,r)),0==wireframe?(this.data.indices.push(t),this.data.indices.push(n),this.data.indices.push(s)):(this.data.indices.push(t),this.data.indices.push(n),this.data.indices.push(n),this.data.indices.push(s),this.data.indices.push(s),this.data.indices.push(t)),this.append()}}processQuad(t){let e=t[0],i=t[1],a=t[2],r=t[3],n=cross([i[0]-e[0],i[1]-e[1],i[2]-e[2]],[a[0]-i[0],a[1]-i[1],a[2]-i[2]]),s=cross([a[0]-r[0],a[1]-r[1],a[2]-r[2]],[r[0]-e[0],r[1]-e[1],r[2]-e[2]]),o=unit([n[0]+s[0],n[1]+s[1],n[2]+s[2]]);if(!this.offscreen([e,i,a,r])){let t,n,s,h;this.color?(t=this.data.Vertex(e,o,this.color[0]),n=this.data.Vertex(i,o,this.color[1]),s=this.data.Vertex(a,o,this.color[2]),h=this.data.Vertex(r,o,this.color[3])):(t=this.vertex(e,o),n=this.vertex(i,o),s=this.vertex(a,o),h=this.vertex(r,o)),0==wireframe?(this.data.indices.push(t),this.data.indices.push(n),this.data.indices.push(s),this.data.indices.push(t),this.data.indices.push(s),this.data.indices.push(h)):(this.data.indices.push(t),this.data.indices.push(n),this.data.indices.push(n),this.data.indices.push(s),this.data.indices.push(s),this.data.indices.push(h),this.data.indices.push(h),this.data.indices.push(t)),this.append()}}curve(t,e,i,a,r){new BezierCurve([t[e],t[i],t[a],t[r]],0,materialIndex,this.Min,this.Max).render()}process(t){if(this.transparent&&1!=wireframe&&(materialIndex=this.color?-1-materialIndex:1+materialIndex),10==t.length)return this.process3(t);if(3==t.length)return this.processTriangle(t);if(4==t.length)return this.processQuad(t);if(1==wireframe)return this.curve(t,0,4,8,12),this.curve(t,12,13,14,15),this.curve(t,15,11,7,3),void this.curve(t,3,2,1,0);let e=t[0],i=t[3],a=t[12],r=t[15],n=this.normal(i,t[2],t[1],e,t[4],t[8],a);abs2(n)<this.epsilon&&abs2(n=this.normal(i,t[2],t[1],e,t[13],t[14],r))<this.epsilon&&(n=this.normal(r,t[11],t[7],i,t[4],t[8],a));let s=this.normal(e,t[4],t[8],a,t[13],t[14],r);abs2(s)<th!
is.epsilon&&abs2(s=this.normal(e,t[4],t[8],a,t[11],t[7],i))<this.epsilon&&(s=this.normal(i,t[2],t[1],e,t[13],t[14],r));let o=this.normal(a,t[13],t[14],r,t[11],t[7],i);abs2(o)<this.epsilon&&abs2(o=this.normal(a,t[13],t[14],r,t[2],t[1],e))<this.epsilon&&(o=this.normal(e,t[4],t[8],a,t[11],t[7],i));let h=this.normal(r,t[11],t[7],i,t[2],t[1],e);if(abs2(h)<this.epsilon&&abs2(h=this.normal(r,t[11],t[7],i,t[4],t[8],a))<this.epsilon&&(h=this.normal(a,t[13],t[14],r,t[2],t[1],e)),this.color){let l=this.color[0],d=this.color[1],c=this.color[2],m=this.color[3],f=this.data.Vertex(e,n,l),u=this.data.Vertex(a,s,d),p=this.data.Vertex(r,o,c),v=this.data.Vertex(i,h,m);this.Render(t,f,u,p,v,e,a,r,i,!1,!1,!1,!1,l,d,c,m)}else{let l=this.vertex(e,n),d=this.vertex(a,s),c=this.vertex(r,o),m=this.vertex(i,h);this.Render(t,l,d,c,m,e,a,r,i,!1,!1,!1,!1)}this.data.indices.length>0&&this.append()}append(){this.transparent?transparentData.append(this.data):this.color?colorData.append(this.data):materialData.append(this.data)}Render(t,e,i,a,r,n,s,o,h,l,d,c,m,f,u,p,v){let g=this.Distance(t);if(g[0]<this.res2&&g[1]<this.res2)this.offscreen([n,s,o])||(0==wireframe?(this.data.indices.push(e),this.data.indices.push(i),this.data.indices.push(a)):(this.data.indices.push(e),this.data.indices.push(i),this.data.indices.push(i),this.data.indices.push(a))),this.offscreen([n,o,h])||(0==wireframe?(this.data.indices.push(e),this.data.indices.push(a),this.data.indices.push(r)):(this.data.indices.push(a),this.data.indices.push(r),this.data.indices.push(r),this.data.indices.push(e)));else{if(this.offscreen(t))return;let w=t[0],x=t[3],M=t[12],b=t[15];if(g[0]<this.res2){let g=new Split3(w,t[1],t[2],x),A=new Split3(t[4],t[5],t[6],t[7]),S=new Split3(t[8],t[9],t[10],t[11]),P=new Split3(M,t[13],t[14],b),R=[w,g.m0,g.m3,g.m5,t[4],A.m0,A.m3,A.m5,t[8],S.m0,S.m3,S.m5,M,P.m0,P.m3,P.m5],T=[g.m5,g.m4,g.m2,x,A.m5,A.m4,A.m2,t[7],S.m5,S.m4,S.m2,t[11],P.m5,P.m4,P.m2,b],y=this.normal(R[12],R[13],R[14],R[15],R[11],R[7],R[3]);abs2(y)<=this.epsilon&&abs2(y=this.normal(R[12],R[13],R[1!
4],R[15],R[2],R[1],R[0]))<=this.epsilon&&(y=this.normal(R[0],R[4],R[8],R[12],R[11],R[7],R[3]));let D=this.normal(T[3],T[2],T[1],T[0],T[4],T[8],T[12]);abs2(D)<=this.epsilon&&abs2(D=this.normal(T[3],T[2],T[1],T[0],T[13],T[14],T[15]))<=this.epsilon&&(D=this.normal(T[15],T[11],T[7],T[3],T[4],T[8],T[12]));let I=this.Epsilon,z=[.5*(s[0]+o[0]),.5*(s[1]+o[1]),.5*(s[2]+o[2])];if(!d)if(d=Straightness(M,t[13],t[14],b)<this.res2){let t=unit(this.differential(T[12],T[8],T[4],T[0]));z=[z[0]-I*t[0],z[1]-I*t[1],z[2]-I*t[2]]}else z=R[15];let E=[.5*(h[0]+n[0]),.5*(h[1]+n[1]),.5*(h[2]+n[2])];if(!m)if(m=Straightness(w,t[1],t[2],x)<this.res2){let t=unit(this.differential(R[3],R[7],R[11],R[15]));E=[E[0]-I*t[0],E[1]-I*t[1],E[2]-I*t[2]]}else E=T[0];if(f){let t=Array(4),g=Array(4);for(let e=0;e<4;++e)t[e]=.5*(u[e]+p[e]),g[e]=.5*(v[e]+f[e]);let w=this.data.Vertex(z,y,t),x=this.data.Vertex(E,D,g);this.Render(R,e,i,w,x,n,s,z,E,l,d,!1,m,f,u,t,g),this.Render(T,x,w,a,r,E,z,o,h,!1,d,c,m,g,t,p,v)}else{let t=this.vertex(z,y),f=this.vertex(E,D);this.Render(R,e,i,t,f,n,s,z,E,l,d,!1,m),this.Render(T,f,t,a,r,E,z,o,h,!1,d,c,m)}return}if(g[1]<this.res2){let g=new Split3(w,t[4],t[8],M),A=new Split3(t[1],t[5],t[9],t[13]),S=new Split3(t[2],t[6],t[10],t[14]),P=new Split3(x,t[7],t[11],b),R=[w,t[1],t[2],x,g.m0,A.m0,S.m0,P.m0,g.m3,A.m3,S.m3,P.m3,g.m5,A.m5,S.m5,P.m5],T=[g.m5,A.m5,S.m5,P.m5,g.m4,A.m4,S.m4,P.m4,g.m2,A.m2,S.m2,P.m2,M,t[13],t[14],b],y=this.normal(R[0],R[4],R[8],R[12],R[13],R[14],R[15]);abs2(y)<=this.epsilon&&abs2(y=this.normal(R[0],R[4],R[8],R[12],R[11],R[7],R[3]))<=this.epsilon&&(y=this.normal(R[3],R[2],R[1],R[0],R[13],R[14],R[15]));let D=this.normal(T[15],T[11],T[7],T[3],T[2],T[1],T[0]);abs2(D)<=this.epsilon&&abs2(D=this.normal(T[15],T[11],T[7],T[3],T[4],T[8],T[12]))<=this.epsilon&&(D=this.normal(T[12],T[13],T[14],T[15],T[2],T[1],T[0]));let I=this.Epsilon,z=[.5*(n[0]+s[0]),.5*(n[1]+s[1]),.5*(n[2]+s[2])];if(!l)if(l=Straightness(w,t[4],t[8],M)<this.res2){let t=unit(this.differential(T[0],T[1],T[2],T[3]));z=[z[0]-I*t[0],z[1]-I*t[1],z[2]-I*t[2]]}el!
se z=R[12];let E=[.5*(o[0]+h[0]),.5*(o[1]+h[1]),.5*(o[2]+h[2])];if(!c)if(c=Straightness(b,t[11],t[7],x)<this.res2){let t=unit(this.differential(R[15],R[14],R[13],R[12]));E=[E[0]-I*t[0],E[1]-I*t[1],E[2]-I*t[2]]}else E=T[3];if(f){let t=Array(4),g=Array(4);for(let e=0;e<4;++e)t[e]=.5*(f[e]+u[e]),g[e]=.5*(p[e]+v[e]);let w=this.data.Vertex(z,y,t),x=this.data.Vertex(E,D,g);this.Render(R,e,w,x,r,n,z,E,h,l,!1,c,m,f,t,g,v),this.Render(T,w,i,a,x,z,s,o,E,l,d,c,!1,t,u,p,g)}else{let t=this.vertex(z,y),f=this.vertex(E,D);this.Render(R,e,t,f,r,n,z,E,h,l,!1,c,m),this.Render(T,t,i,a,f,z,s,o,E,l,d,c,!1)}return}let A=new Split3(w,t[1],t[2],x),S=new Split3(t[4],t[5],t[6],t[7]),P=new Split3(t[8],t[9],t[10],t[11]),R=new Split3(M,t[13],t[14],b),T=new Split3(w,t[4],t[8],M),y=new Split3(A.m0,S.m0,P.m0,R.m0),D=new Split3(A.m3,S.m3,P.m3,R.m3),I=new Split3(A.m5,S.m5,P.m5,R.m5),z=new Split3(A.m4,S.m4,P.m4,R.m4),E=new Split3(A.m2,S.m2,P.m2,R.m2),O=new Split3(x,t[7],t[11],b),L=[w,A.m0,A.m3,A.m5,T.m0,y.m0,D.m0,I.m0,T.m3,y.m3,D.m3,I.m3,T.m5,y.m5,D.m5,I.m5],N=[T.m5,y.m5,D.m5,I.m5,T.m4,y.m4,D.m4,I.m4,T.m2,y.m2,D.m2,I.m2,M,R.m0,R.m3,R.m5],_=[I.m5,z.m5,E.m5,O.m5,I.m4,z.m4,E.m4,O.m4,I.m2,z.m2,E.m2,O.m2,R.m5,R.m4,R.m2,b],B=[A.m5,A.m4,A.m2,x,I.m0,z.m0,E.m0,O.m0,I.m3,z.m3,E.m3,O.m3,I.m5,z.m5,E.m5,O.m5],V=L[15],C=this.normal(L[0],L[4],L[8],L[12],L[13],L[14],L[15]);abs2(C)<this.epsilon&&abs2(C=this.normal(L[0],L[4],L[8],L[12],L[11],L[7],L[3]))<this.epsilon&&(C=this.normal(L[3],L[2],L[1],L[0],L[13],L[14],L[15]));let F=this.normal(N[12],N[13],N[14],N[15],N[11],N[7],N[3]);abs2(F)<this.epsilon&&abs2(F=this.normal(N[12],N[13],N[14],N[15],N[2],N[1],N[0]))<this.epsilon&&(F=this.normal(N[0],N[4],N[8],N[12],N[11],N[7],N[3]));let H=this.normal(_[15],_[11],_[7],_[3],_[2],_[1],_[0]);abs2(H)<this.epsilon&&abs2(H=this.normal(_[15],_[11],_[7],_[3],_[4],_[8],_[12]))<this.epsilon&&(H=this.normal(_[12],_[13],_[14],_[15],_[2],_[1],_[0]));let G=this.normal(B[3],B[2],B[1],B[0],B[4],B[8],B[12]);abs2(G)<this.epsilon&&abs2(G=this.normal(B[3],B[2],B[1],B[0],B[13],B[14],B[15]))<t!
his.epsilon&&(G=this.normal(B[15],B[11],B[7],B[3],B[4],B[8],B[12]));let U=this.normal(_[3],_[2],_[1],V,_[4],_[8],_[12]),W=this.Epsilon,Y=[.5*(n[0]+s[0]),.5*(n[1]+s[1]),.5*(n[2]+s[2])];if(!l)if(l=Straightness(w,t[4],t[8],M)<this.res2){let t=unit(this.differential(N[0],N[1],N[2],N[3]));Y=[Y[0]-W*t[0],Y[1]-W*t[1],Y[2]-W*t[2]]}else Y=L[12];let j=[.5*(s[0]+o[0]),.5*(s[1]+o[1]),.5*(s[2]+o[2])];if(!d)if(d=Straightness(M,t[13],t[14],b)<this.res2){let t=unit(this.differential(_[12],_[8],_[4],_[0]));j=[j[0]-W*t[0],j[1]-W*t[1],j[2]-W*t[2]]}else j=N[15];let k=[.5*(o[0]+h[0]),.5*(o[1]+h[1]),.5*(o[2]+h[2])];if(!c)if(c=Straightness(b,t[11],t[7],x)<this.res2){let t=unit(this.differential(B[15],B[14],B[13],B[12]));k=[k[0]-W*t[0],k[1]-W*t[1],k[2]-W*t[2]]}else k=_[3];let Z=[.5*(h[0]+n[0]),.5*(h[1]+n[1]),.5*(h[2]+n[2])];if(!m)if(m=Straightness(w,t[1],t[2],x)<this.res2){let t=unit(this.differential(L[3],L[7],L[11],L[15]));Z=[Z[0]-W*t[0],Z[1]-W*t[1],Z[2]-W*t[2]]}else Z=B[0];if(f){let t=Array(4),g=Array(4),w=Array(4),x=Array(4),M=Array(4);for(let e=0;e<4;++e)t[e]=.5*(f[e]+u[e]),g[e]=.5*(u[e]+p[e]),w[e]=.5*(p[e]+v[e]),x[e]=.5*(v[e]+f[e]),M[e]=.5*(t[e]+w[e]);let b=this.data.Vertex(Y,C,t),A=this.data.Vertex(j,F,g),S=this.data.Vertex(k,H,w),P=this.data.Vertex(Z,G,x),R=this.data.Vertex(V,U,M);this.Render(L,e,b,R,P,n,Y,V,Z,l,!1,!1,m,f,t,M,x),this.Render(N,b,i,A,R,Y,s,j,V,l,d,!1,!1,t,u,g,M),this.Render(_,R,A,a,S,V,j,o,k,!1,d,c,!1,M,g,p,w),this.Render(B,P,R,S,r,Z,V,k,h,!1,!1,c,m,x,M,w,v)}else{let t=this.vertex(Y,C),f=this.vertex(j,F),u=this.vertex(k,H),p=this.vertex(Z,G),v=this.vertex(V,U);this.Render(L,e,t,v,p,n,Y,V,Z,l,!1,!1,m),this.Render(N,t,i,f,v,Y,s,j,V,l,d,!1,!1),this.Render(_,v,f,a,u,V,j,o,k,!1,d,c,!1),this.Render(B,p,v,u,r,Z,V,k,h,!1,!1,c,m)}}}process3(t){if(1==wireframe)return this.curve(t,0,1,3,6),this.curve(t,6,7,8,9),void this.curve(t,9,5,2,0);let e=t[0],i=t[6],a=t[9],r=this.normal(a,t[5],t[2],e,t[1],t[3],i),n=this.normal(e,t[1],t[3],i,t[7],t[8],a),s=this.normal(i,t[7],t[8],a,t[5],t[2],e);if(this.color){let o=this.color[0],h=this!
.color[1],l=this.color[2],d=this.data.Vertex(e,r,o),c=this.data.Vertex(i,n,h),m=this.data.Vertex(a,s,l);this.Render3(t,d,c,m,e,i,a,!1,!1,!1,o,h,l)}else{let o=this.vertex(e,r),h=this.vertex(i,n),l=this.vertex(a,s);this.Render3(t,o,h,l,e,i,a,!1,!1,!1)}this.data.indices.length>0&&this.append()}Render3(t,e,i,a,r,n,s,o,h,l,d,c,m){if(this.Distance3(t)<this.res2)this.offscreen([r,n,s])||(0==wireframe?(this.data.indices.push(e),this.data.indices.push(i),this.data.indices.push(a)):(this.data.indices.push(e),this.data.indices.push(i),this.data.indices.push(i),this.data.indices.push(a),this.data.indices.push(a),this.data.indices.push(e)));else{if(this.offscreen(t))return;let f=t[0],u=t[1],p=t[2],v=t[3],g=t[4],w=t[5],x=t[6],M=t[7],b=t[8],A=t[9],S=[.5*(A[0]+w[0]),.5*(A[1]+w[1]),.5*(A[2]+w[2])],P=[.5*(A[0]+b[0]),.5*(A[1]+b[1]),.5*(A[2]+b[2])],R=[.5*(w[0]+p[0]),.5*(w[1]+p[1]),.5*(w[2]+p[2])],T=[.5*(b[0]+g[0]),.5*(b[1]+g[1]),.5*(b[2]+g[2])],y=[.5*(b[0]+M[0]),.5*(b[1]+M[1]),.5*(b[2]+M[2])],D=[.5*(p[0]+g[0]),.5*(p[1]+g[1]),.5*(p[2]+g[2])],I=[.5*(p[0]+f[0]),.5*(p[1]+f[1]),.5*(p[2]+f[2])],z=[.5*(g[0]+v[0]),.5*(g[1]+v[1]),.5*(g[2]+v[2])],E=[.5*(M[0]+x[0]),.5*(M[1]+x[1]),.5*(M[2]+x[2])],O=[.5*(f[0]+u[0]),.5*(f[1]+u[1]),.5*(f[2]+u[2])],L=[.5*(u[0]+v[0]),.5*(u[1]+v[1]),.5*(u[2]+v[2])],N=[.5*(v[0]+x[0]),.5*(v[1]+x[1]),.5*(v[2]+x[2])],_=[.5*(S[0]+R[0]),.5*(S[1]+R[1]),.5*(S[2]+R[2])],B=[.5*(P[0]+y[0]),.5*(P[1]+y[1]),.5*(P[2]+y[2])],V=[.5*(R[0]+I[0]),.5*(R[1]+I[1]),.5*(R[2]+I[2])],C=[.5*T[0]+.25*(g[0]+u[0]),.5*T[1]+.25*(g[1]+u[1]),.5*T[2]+.25*(g[2]+u[2])],F=[.5*(y[0]+E[0]),.5*(y[1]+E[1]),.5*(y[2]+E[2])],H=[.5*D[0]+.25*(g[0]+M[0]),.5*D[1]+.25*(g[1]+M[1]),.5*D[2]+.25*(g[2]+M[2])],G=[.25*(w[0]+g[0])+.5*z[0],.25*(w[1]+g[1])+.5*z[1],.25*(w[2]+g[2])+.5*z[2]],U=[.5*(O[0]+L[0]),.5*(O[1]+L[1]),.5*(O[2]+L[2])],W=[.5*(L[0]+N[0]),.5*(L[1]+N[1]),.5*(L[2]+N[2])],Y=[.5*(H[0]+U[0]),.5*(H[1]+U[1]),.5*(H[2]+U[2])],j=[.5*(H[0]+W[0]),.5*(H[1]+W[1]),.5*(H[2]+W[2])],k=[.5*(U[0]+W[0]),.5*(U[1]+W[1]),.5*(U[2]+W[2])],Z=[.5*(G[0]+F[0]),.5*(G[1]+F[1]),.5*(G[2]+F[2])!
],X=[.5*(B[0]+G[0]),.5*(B[1]+G[1]),.5*(B[2]+G[2])],q=[.5*(B[0]+F[0]),.5*(B[1]+F[1]),.5*(B[2]+F[2])],K=[.5*(_[0]+C[0]),.5*(_[1]+C[1]),.5*(_[2]+C[2])],$=[.5*(V[0]+C[0]),.5*(V[1]+C[1]),.5*(V[2]+C[2])],Q=[.5*(_[0]+V[0]),.5*(_[1]+V[1]),.5*(_[2]+V[2])],J=[f,O,I,U,[.5*(D[0]+O[0]),.5*(D[1]+O[1]),.5*(D[2]+O[2])],V,k,Y,$,Q],tt=[k,W,j,N,[.5*(z[0]+E[0]),.5*(z[1]+E[1]),.5*(z[2]+E[2])],Z,x,E,F,q],et=[Q,K,_,X,[.5*(S[0]+T[0]),.5*(S[1]+T[1]),.5*(S[2]+T[2])],S,q,B,P,A],it=[q,X,Z,K,[.25*(R[0]+y[0]+L[0]+g[0]),.25*(R[1]+y[1]+L[1]+g[1]),.25*(R[2]+y[2]+L[2]+g[2])],j,Q,$,Y,k],at=this.normal(k,j,Z,q,X,K,Q),rt=this.normal(q,X,K,Q,$,Y,k),nt=this.normal(Q,$,Y,k,j,Z,q),st=this.Epsilon,ot=[.5*(n[0]+s[0]),.5*(n[1]+s[1]),.5*(n[2]+s[2])];if(!o)if(o=Straightness(x,M,b,A)<this.res2){let t=unit(this.sumdifferential(it[0],it[2],it[5],it[9],it[1],it[3],it[6]));ot=[ot[0]-st*t[0],ot[1]-st*t[1],ot[2]-st*t[2]]}else ot=q;let ht=[.5*(s[0]+r[0]),.5*(s[1]+r[1]),.5*(s[2]+r[2])];if(!h)if(h=Straightness(f,p,w,A)<this.res2){let t=unit(this.sumdifferential(it[6],it[3],it[1],it[0],it[7],it[8],it[9]));ht=[ht[0]-st*t[0],ht[1]-st*t[1],ht[2]-st*t[2]]}else ht=Q;let lt=[.5*(r[0]+n[0]),.5*(r[1]+n[1]),.5*(r[2]+n[2])];if(!l)if(l=Straightness(f,u,v,x)<this.res2){let t=unit(this.sumdifferential(it[9],it[8],it[7],it[6],it[5],it[2],it[0]));lt=[lt[0]-st*t[0],lt[1]-st*t[1],lt[2]-st*t[2]]}else lt=k;if(d){let t=Array(4),f=Array(4),u=Array(4);for(let e=0;e<4;++e)t[e]=.5*(c[e]+m[e]),f[e]=.5*(m[e]+d[e]),u[e]=.5*(d[e]+c[e]);let p=this.data.Vertex(ot,at,t),v=this.data.Vertex(ht,rt,f),g=this.data.Vertex(lt,nt,u);this.Render3(J,e,g,v,r,lt,ht,!1,h,l,d,u,f),this.Render3(tt,g,i,p,lt,n,ot,o,!1,l,u,c,t),this.Render3(et,v,p,a,ht,ot,s,o,h,!1,f,t,m),this.Render3(it,p,v,g,ot,ht,lt,!1,!1,!1,t,f,u)}else{let t=this.vertex(ot,at),d=this.vertex(ht,rt),c=this.vertex(lt,nt);this.Render3(J,e,c,d,r,lt,ht,!1,h,l),this.Render3(tt,c,i,t,lt,n,ot,o,!1,l),this.Render3(et,d,t,a,ht,ot,s,o,h,!1),this.Render3(it,t,d,c,ot,ht,lt,!1,!1,!1)}}}Distance(t){let e=t[0],i=t[3],a=t[12],r=t[15],n=Flatness(e,a,i,r);n=Math.max!
(Straightness(e,t[4],t[8],a)),n=Math.max(n,Straightness(t[1],t[5],t[9],t[13])),n=Math.max(n,Straightness(i,t[7],t[11],r)),n=Math.max(n,Straightness(t[2],t[6],t[10],t[14]));let s=Flatness(e,i,a,r);return s=Math.max(s,Straightness(e,t[1],t[2],i)),s=Math.max(s,Straightness(t[4],t[5],t[6],t[7])),s=Math.max(s,Straightness(t[8],t[9],t[10],t[11])),[n,s=Math.max(s,Straightness(a,t[13],t[14],r))]}Distance3(t){let e=t[0],i=t[4],a=t[6],r=t[9],n=abs2([(e[0]+a[0]+r[0])*third-i[0],(e[1]+a[1]+r[1])*third-i[1],(e[2]+a[2]+r[2])*third-i[2]]);return n=Math.max(n,Straightness(e,t[1],t[3],a)),n=Math.max(n,Straightness(e,t[2],t[5],r)),Math.max(n,Straightness(a,t[7],t[8],r))}differential(t,e,i,a){let r=[3*(e[0]-t[0]),3*(e[1]-t[1]),3*(e[2]-t[2])];return abs2(r)>this.epsilon?r:abs2(r=bezierPP(t,e,i))>this.epsilon?r:bezierPPP(t,e,i,a)}sumdifferential(t,e,i,a,r,n,s){let o=this.differential(t,e,i,a),h=this.differential(t,r,n,s);return[o[0]+h[0],o[1]+h[1],o[2]+h[2]]}normal(t,e,i,a,r,n,s){let o=3*(r[0]-a[0]),h=3*(r[1]-a[1]),l=3*(r[2]-a[2]),d=3*(i[0]-a[0]),c=3*(i[1]-a[1]),m=3*(i[2]-a[2]),f=[h*m-l*c,l*d-o*m,o*c-h*d];if(abs2(f)>this.epsilon)return f;let u=[d,c,m],p=[o,h,l],v=bezierPP(a,i,e),g=bezierPP(a,r,n),w=cross(g,u),x=cross(p,v);if(abs2(f=[w[0]+x[0],w[1]+x[1],w[2]+x[2]])>this.epsilon)return f;let M=bezierPPP(a,i,e,t),b=bezierPPP(a,r,n,s);w=cross(p,M),x=cross(b,u);let A=cross(g,v);return abs2(f=[w[0]+x[0]+A[0],w[1]+x[1]+A[1],w[2]+x[2]+A[2]])>this.epsilon?f:(w=cross(b,v),x=cross(g,M),abs2(f=[w[0]+x[0],w[1]+x[1],w[2]+x[2]])>this.epsilon?f:cross(b,M))}}class BezierCurve extends Geometry{constructor(t,e,i,a,r){super(),this.controlpoints=t,this.Min=a,this.Max=r,this.CenterIndex=e,this.MaterialIndex=i}setMaterialIndex(){this.setMaterial(material1Data,drawMaterial1)}processLine(t){let e=t[0],i=t[1];if(!this.offscreen([e,i])){let t=[0,0,1];this.data.indices.push(this.data.vertex(e,t)),this.data.indices.push(this.data.vertex(i,t)),this.append()}}process(t){if(2==t.length)return this.processLine(t);let e=t[0],i=t[1],a=t[2],r=t[3],n=this.normal(bezier!
P(e,i),bezierPP(e,i,a)),s=this.normal(bezierP(a,r),bezierPP(r,a,i)),o=this.data.vertex(e,n),h=this.data.vertex(r,s);this.Render(t,o,h),this.data.indices.length>0&&this.append()}append(){material1Data.append(this.data)}Render(t,e,i){let a=t[0],r=t[1],n=t[2],s=t[3];if(Straightness(a,r,n,s)<this.res2)this.offscreen([a,s])||(this.data.indices.push(e),this.data.indices.push(i));else{if(this.offscreen(t))return;let o=[.5*(a[0]+r[0]),.5*(a[1]+r[1]),.5*(a[2]+r[2])],h=[.5*(r[0]+n[0]),.5*(r[1]+n[1]),.5*(r[2]+n[2])],l=[.5*(n[0]+s[0]),.5*(n[1]+s[1]),.5*(n[2]+s[2])],d=[.5*(o[0]+h[0]),.5*(o[1]+h[1]),.5*(o[2]+h[2])],c=[.5*(h[0]+l[0]),.5*(h[1]+l[1]),.5*(h[2]+l[2])],m=[.5*(d[0]+c[0]),.5*(d[1]+c[1]),.5*(d[2]+c[2])],f=[a,o,d,m],u=[m,c,l,s],p=this.normal(bezierPh(a,r,n,s),bezierPPh(a,r,n,s)),v=this.data.vertex(m,p);this.Render(f,e,v),this.Render(u,v,i)}}normal(t,e){let i=dot(t,t),a=dot(t,e);return[i*e[0]-a*t[0],i*e[1]-a*t[1],i*e[2]-a*t[2]]}}class Pixel extends Geometry{constructor(t,e,i,a,r){super(),this.controlpoint=t,this.width=e,this.CenterIndex=0,this.MaterialIndex=i,this.Min=a,this.Max=r}setMaterialIndex(){this.setMaterial(material0Data,drawMaterial0)}process(t){this.data.indices.push(this.data.vertex0(this.controlpoint,this.width)),this.append()}append(){material0Data.append(this.data)}}class Triangles extends Geometry{constructor(t,e,i){super(),this.CenterIndex=0,this.MaterialIndex=t,this.Min=e,this.Max=i,this.Positions=Positions,this.Normals=Normals,this.Colors=Colors,this.Indices=Indices,Positions=[],Normals=[],Colors=[],Indices=[],this.transparent=Materials[t].diffuse[3]<1}setMaterialIndex(){this.transparent?this.setMaterial(transparentData,drawTransparent):this.setMaterial(triangleData,drawTriangle)}process(t){materialIndex=this.Colors.length>0?-1-materialIndex:1+materialIndex;for(let t=0,e=this.Indices.length;t<e;++t){let e=this.Indices[t],i=e[0],a=this.Positions[i[0]],r=this.Positions[i[1]],n=this.Positions[i[2]];if(!this.offscreen([a,r,n])){let t=e.length>1?e[1]:i;if(t&&0!=t.length||(t=i),this.Colors.length>0){let s=e!
.length>2?e[2]:i;s&&0!=s.length||(s=i);let o=this.Colors[s[0]],h=this.Colors[s[1]],l=this.Colors[s[2]];this.transparent|=o[3]+h[3]+l[3]<765,0==wireframe?(this.data.iVertex(i[0],a,this.Normals[t[0]],o),this.data.iVertex(i[1],r,this.Normals[t[1]],h),this.data.iVertex(i[2],n,this.Normals[t[2]],l)):(this.data.iVertex(i[0],a,this.Normals[t[0]],o),this.data.iVertex(i[1],r,this.Normals[t[1]],h),this.data.iVertex(i[1],r,this.Normals[t[1]],h),this.data.iVertex(i[2],n,this.Normals[t[2]],l),this.data.iVertex(i[2],n,this.Normals[t[2]],l),this.data.iVertex(i[0],a,this.Normals[t[0]],o))}else 0==wireframe?(this.data.iVertex(i[0],a,this.Normals[t[0]]),this.data.iVertex(i[1],r,this.Normals[t[1]]),this.data.iVertex(i[2],n,this.Normals[t[2]])):(this.data.iVertex(i[0],a,this.Normals[t[0]]),this.data.iVertex(i[1],r,this.Normals[t[1]]),this.data.iVertex(i[1],r,this.Normals[t[1]]),this.data.iVertex(i[2],n,this.Normals[t[2]]),this.data.iVertex(i[2],n,this.Normals[t[2]]),this.data.iVertex(i[0],a,this.Normals[t[0]]))}}this.data.nvertices=this.Positions.length,this.data.indices.length>0&&this.append()}append(){this.transparent?transparentData.append(this.data):triangleData.append(this.data)}}function home(){mat4.identity(rotMat),initProjection(),setProjection(),remesh=!0,draw()}let positionAttribute=0,normalAttribute=1,materialAttribute=2,colorAttribute=3,widthAttribute=4;function initShader(t=[]){let e=getShader(gl,vertex,gl.VERTEX_SHADER,t),i=getShader(gl,fragment,gl.FRAGMENT_SHADER,t),a=gl.createProgram();return gl.attachShader(a,e),gl.attachShader(a,i),gl.bindAttribLocation(a,positionAttribute,"position"),gl.bindAttribLocation(a,normalAttribute,"normal"),gl.bindAttribLocation(a,materialAttribute,"materialIndex"),gl.bindAttribLocation(a,colorAttribute,"color"),gl.bindAttribLocation(a,widthAttribute,"width"),gl.linkProgram(a),gl.getProgramParameter(a,gl.LINK_STATUS)||alert("Could not initialize shaders"),a}class Split3{constructor(t,e,i,a){this.m0=[.5*(t[0]+e[0]),.5*(t[1]+e[1]),.5*(t[2]+e[2])];let r=.5*(e[0]+i[0]),n=.5*(e[1]+i[1]),s=.5*!
(e[2]+i[2]);this.m2=[.5*(i[0]+a[0]),.5*(i[1]+a[1]),.5*(i[2]+a[2])],this.m3=[.5*(this.m0[0]+r),.5*(this.m0[1]+n),.5*(this.m0[2]+s)],this.m4=[.5*(r+this.m2[0]),.5*(n+this.m2[1]),.5*(s+this.m2[2])],this.m5=[.5*(this.m3[0]+this.m4[0]),.5*(this.m3[1]+this.m4[1]),.5*(this.m3[2]+this.m4[2])]}}function unit(t){let e=1/(Math.sqrt(t[0]*t[0]+t[1]*t[1]+t[2]*t[2])||1);return[t[0]*e,t[1]*e,t[2]*e]}function abs2(t){return t[0]*t[0]+t[1]*t[1]+t[2]*t[2]}function dot(t,e){return t[0]*e[0]+t[1]*e[1]+t[2]*e[2]}function cross(t,e){return[t[1]*e[2]-t[2]*e[1],t[2]*e[0]-t[0]*e[2],t[0]*e[1]-t[1]*e[0]]}function bezierP(t,e){return[e[0]-t[0],e[1]-t[1],e[2]-t[2]]}function bezierPP(t,e,i){return[3*(t[0]+i[0])-6*e[0],3*(t[1]+i[1])-6*e[1],3*(t[2]+i[2])-6*e[2]]}function bezierPPP(t,e,i,a){return[a[0]-t[0]+3*(e[0]-i[0]),a[1]-t[1]+3*(e[1]-i[1]),a[2]-t[2]+3*(e[2]-i[2])]}function bezierPh(t,e,i,a){return[i[0]+a[0]-t[0]-e[0],i[1]+a[1]-t[1]-e[1],i[2]+a[2]-t[2]-e[2]]}function bezierPPh(t,e,i,a){return[3*t[0]-5*e[0]+i[0]+a[0],3*t[1]-5*e[1]+i[1]+a[1],3*t[2]-5*e[2]+i[2]+a[2]]}function Straightness(t,e,i,a){let r=[third*(a[0]-t[0]),third*(a[1]-t[1]),third*(a[2]-t[2])];return Math.max(abs2([e[0]-r[0]-t[0],e[1]-r[1]-t[1],e[2]-r[2]-t[2]]),abs2([a[0]-r[0]-i[0],a[1]-r[1]-i[1],a[2]-r[2]-i[2]]))}function Flatness(t,e,i,a){let r=[e[0]-t[0],e[1]-t[1],e[2]-t[2]],n=[a[0]-i[0],a[1]-i[1],a[2]-i[2]];return Math.max(abs2(cross(r,unit(n))),abs2(cross(n,unit(r))))/9}function corners(t,e){return[t,[t[0],t[1],e[2]],[t[0],e[1],t[2]],[t[0],e[1],e[2]],[e[0],t[1],t[2]],[e[0],t[1],e[2]],[e[0],e[1],t[2]],e]}function minbound(t){return[Math.min(t[0][0],t[1][0],t[2][0],t[3][0],t[4][0],t[5][0],t[6][0],t[7][0]),Math.min(t[0][1],t[1][1],t[2][1],t[3][1],t[4][1],t[5][1],t[6][1],t[7][1]),Math.min(t[0][2],t[1][2],t[2][2],t[3][2],t[4][2],t[5][2],t[6][2],t[7][2])]}function maxbound(t){return[Math.max(t[0][0],t[1][0],t[2][0],t[3][0],t[4][0],t[5][0],t[6][0],t[7][0]),Math.max(t[0][1],t[1][1],t[2][1],t[3][1],t[4][1],t[5][1],t[6][1],t[7][1]),Math.max(t[0][2],t[1][2],t[2][2],t[3][2],t[4][2],t[5]!
[2],t[6][2],t[7][2])]}function COBTarget(t,e){mat4.fromTranslation(T,[center.x,center.y,center.z]),mat4.invert(cjMatInv,T),mat4.multiply(t,e,cjMatInv),mat4.multiply(t,T,t)}function setUniforms(t,e){let i=e==pixelShader;gl.useProgram(e),gl.enableVertexAttribArray(positionAttribute),i&&gl.enableVertexAttribArray(widthAttribute);let a=!i&&Lights.length>0;if(a&&gl.enableVertexAttribArray(normalAttribute),gl.enableVertexAttribArray(materialAttribute),e.projViewMatUniform=gl.getUniformLocation(e,"projViewMat"),e.viewMatUniform=gl.getUniformLocation(e,"viewMat"),e.normMatUniform=gl.getUniformLocation(e,"normMat"),e!=colorShader&&e!=transparentShader||gl.enableVertexAttribArray(colorAttribute),a)for(let t=0;t<Lights.length;++t)Lights[t].setUniform(e,t);for(let i=0;i<t.materials.length;++i)t.materials[i].setUniform(e,i);gl.uniformMatrix4fv(e.projViewMatUniform,!1,projViewMat),gl.uniformMatrix4fv(e.viewMatUniform,!1,viewMat),gl.uniformMatrix3fv(e.normMatUniform,!1,normMat)}function handleMouseDown(t){zoomEnabled||enableZoom(),mouseDownOrTouchActive=!0,lastMouseX=t.clientX,lastMouseY=t.clientY}let pinchStart,touchStartTime,pinch=!1;function pinchDistance(t){return Math.hypot(t[0].pageX-t[1].pageX,t[0].pageY-t[1].pageY)}function handleTouchStart(t){t.preventDefault(),zoomEnabled||enableZoom();let e=t.targetTouches;swipe=rotate=pinch=!1,zooming||(1!=e.length||mouseDownOrTouchActive||(touchStartTime=(new Date).getTime(),touchId=e[0].identifier,lastMouseX=e[0].pageX,lastMouseY=e[0].pageY),2!=e.length||mouseDownOrTouchActive||(touchId=e[0].identifier,pinchStart=pinchDistance(e),pinch=!0))}function handleMouseUpOrTouchEnd(t){mouseDownOrTouchActive=!1}function rotateScene(t,e,i,a,r){if(t==i&&e==a)return;let[n,s]=arcball([t,-e],[i,-a]);mat4.fromRotation(T,2*r*ArcballFactor*n/lastzoom,s),mat4.multiply(rotMat,T,rotMat)}function shiftScene(t,e,i,a){let r=1/lastzoom;shift.x+=(i-t)*r*halfCanvasWidth,shift.y-=(a-e)*r*halfCanvasHeight}function panScene(t,e,i,a){orthographic?shiftScene(t,e,i,a):(center.x+=(i-t)*(viewParam.xmax-viewParam.x!
min),center.y-=(a-e)*(viewParam.ymax-viewParam.ymin))}function updateViewMatrix(){COBTarget(viewMat,rotMat),mat4.translate(viewMat,viewMat,[center.x,center.y,0]),mat3.fromMat4(viewMat3,viewMat),mat3.invert(normMat,viewMat3),mat4.multiply(projViewMat,projMat,viewMat)}function capzoom(){let t=Math.sqrt(Number.MAX_VALUE),e=1/t;Zoom<=e&&(Zoom=e),Zoom>=t&&(Zoom=t),Zoom!=lastzoom&&(remesh=!0),lastzoom=Zoom}function zoomImage(t){let e=zoomStep*halfCanvasHeight*t;const i=Math.log(.1*Number.MAX_VALUE)/Math.log(zoomFactor);Math.abs(e)<i&&(Zoom*=zoomFactor**e,capzoom())}function normMouse(t){let e=t[0],i=t[1],a=Math.hypot(e,i);return a>1&&(denom=1/a,e*=denom,i*=denom),[e,i,Math.sqrt(Math.max(1-i*i-e*e,0))]}function arcball(t,e){let i=normMouse(t),a=normMouse(e),r=dot(i,a);return r>1?r=1:r<-1&&(r=-1),[Math.acos(r),unit(cross(i,a))]}function zoomScene(t,e,i,a){zoomImage(e-a)}const DRAGMODE_ROTATE=1,DRAGMODE_SHIFT=2,DRAGMODE_ZOOM=3,DRAGMODE_PAN=4;function processDrag(t,e,i,a=1){let r;switch(i){case DRAGMODE_ROTATE:r=rotateScene;break;case DRAGMODE_SHIFT:r=shiftScene;break;case DRAGMODE_ZOOM:r=zoomScene;break;case DRAGMODE_PAN:r=panScene;break;default:r=((t,e,i,a)=>{})}r((lastMouseX-halfCanvasWidth)/halfCanvasWidth,(lastMouseY-halfCanvasHeight)/halfCanvasHeight,(t-halfCanvasWidth)/halfCanvasWidth,(e-halfCanvasHeight)/halfCanvasHeight,a),lastMouseX=t,lastMouseY=e,setProjection(),draw()}let zoomEnabled=0;function enableZoom(){zoomEnabled=1,canvas.addEventListener("wheel",handleMouseWheel,!1)}function disableZoom(){zoomEnabled=0,canvas.removeEventListener("wheel",handleMouseWheel,!1)}function handleKey(t){if(zoomEnabled||enableZoom(),embedded&&zoomEnabled&&27==t.keyCode)return void disableZoom();let e=[];switch(t.key){case"x":e=[1,0,0];break;case"y":e=[0,1,0];break;case"z":e=[0,0,1];break;case"h":home();break;case"m":3==++wireframe&&(wireframe=0),2!=wireframe&&(embedded||deleteShaders(),initShaders()),remesh=!0,draw();break;case"+":case"=":case">":expand();break;case"-":case"_":case"<":shrink()}e.length>0&&(mat4.rotate(rotMat,rot!
Mat,.1,e),updateViewMatrix(),draw())}function handleMouseWheel(t){t.preventDefault(),t.deltaY<0?Zoom*=zoomFactor:Zoom/=zoomFactor,capzoom(),setProjection(),draw()}function handleMouseMove(t){if(!mouseDownOrTouchActive)return;let e;processDrag(t.clientX,t.clientY,e=t.getModifierState("Control")?DRAGMODE_SHIFT:t.getModifierState("Shift")?DRAGMODE_ZOOM:t.getModifierState("Alt")?DRAGMODE_PAN:DRAGMODE_ROTATE)}let zooming=!1,swipe=!1,rotate=!1;function handleTouchMove(t){if(t.preventDefault(),zooming)return;let e=t.targetTouches;if(!pinch&&1==e.length&&touchId==e[0].identifier){let t=e[0].pageX,i=e[0].pageY,a=t-lastMouseX,r=i-lastMouseY,n=a*a+r*r<=shiftHoldDistance*shiftHoldDistance;if(n&&!swipe&&!rotate&&(new Date).getTime()-touchStartTime>shiftWaitTime&&(navigator.vibrate&&window.navigator.vibrate(vibrateTime),swipe=!0),swipe)processDrag(t,i,DRAGMODE_SHIFT);else if(!n){rotate=!0,processDrag(e[0].pageX,e[0].pageY,DRAGMODE_ROTATE,.5)}}if(pinch&&!swipe&&2==e.length&&touchId==e[0].identifier){let t=pinchDistance(e),i=t-pinchStart;zooming=!0,(i*=zoomPinchFactor)>zoomPinchCap&&(i=zoomPinchCap),i<-zoomPinchCap&&(i=-zoomPinchCap),zoomImage(i/size2),pinchStart=t,swipe=rotate=zooming=!1,setProjection(),draw()}}let pixelShader,materialShader,colorShader,transparentShader,zbuffer=[];function transformVertices(t){let e=viewMat[2],i=viewMat[6],a=viewMat[10];zbuffer.length=t.length;for(let r=0;r<t.length;++r){let n=6*r;zbuffer[r]=e*t[n]+i*t[n+1]+a*t[n+2]}}function drawMaterial0(){drawBuffer(material0Data,pixelShader),material0Data.clear()}function drawMaterial1(){drawBuffer(material1Data,materialShader),material1Data.clear()}function drawMaterial(){drawBuffer(materialData,materialShader),materialData.clear()}function drawColor(){drawBuffer(colorData,colorShader),colorData.clear()}function drawTriangle(){drawBuffer(triangleData,transparentShader),triangleData.clear()}function drawTransparent(){let t=transparentData.indices;if(wireframe>0)return drawBuffer(transparentData,transparentShader,t),void transparentData.clear();if(t.length!
>0){transformVertices(transparentData.vertices);let e=t.length/3,i=Array(e).fill().map((t,e)=>e);i.sort(function(e,i){let a=3*e;Ia=t[a],Ib=t[a+1],Ic=t[a+2];let r=3*i;return IA=t[r],IB=t[r+1],IC=t[r+2],zbuffer[Ia]+zbuffer[Ib]+zbuffer[Ic]<zbuffer[IA]+zbuffer[IB]+zbuffer[IC]?-1:1});let a=Array(t.length);for(let r=0;r<e;++r){let e=3*i[r];a[3*r]=t[e],a[3*r+1]=t[e+1],a[3*r+2]=t[e+2]}gl.depthMask(!1),drawBuffer(transparentData,transparentShader,a),gl.depthMask(!0)}transparentData.clear()}function drawBuffers(){drawMaterial0(),drawMaterial1(),drawMaterial(),drawColor(),drawTriangle(),drawTransparent()}function draw(){embedded&&(offscreen.width=canvas.width,offscreen.height=canvas.height,setViewport()),gl.clearColor(Background[0],Background[1],Background[2],Background[3]),gl.clear(gl.COLOR_BUFFER_BIT|gl.DEPTH_BUFFER_BIT);for(let t=0;t<P.length;++t)P[t].render();drawBuffers(),embedded&&(context.clearRect(0,0,canvas.width,canvas.height),context.drawImage(offscreen,0,0)),0==wireframe&&(remesh=!1)}function setDimensions(t,e,i,a){let r=t/e,n=1/lastzoom,s=(i/t+viewportshift[0])*lastzoom,o=(a/e+viewportshift[1])*lastzoom;if(orthographic){let t=B[0]-b[0],e=B[1]-b[1];if(t<e*r){let t=.5*e*r*n,i=2*t*s,a=e*n*o;viewParam.xmin=-t-i,viewParam.xmax=t-i,viewParam.ymin=b[1]*n-a,viewParam.ymax=B[1]*n-a}else{let e=.5*t/(r*Zoom),i=t*n*s,a=2*e*o;viewParam.xmin=b[0]*n-i,viewParam.xmax=B[0]*n-i,viewParam.ymin=-e-a,viewParam.ymax=e-a}}else{let t=H*n,e=t*r,i=2*e*s,a=2*t*o;viewParam.xmin=-e-i,viewParam.xmax=e-i,viewParam.ymin=-t-a,viewParam.ymax=t-a}}function setProjection(){setDimensions(canvasWidth,canvasHeight,shift.x,shift.y),(orthographic?mat4.ortho:mat4.frustum)(projMat,viewParam.xmin,viewParam.xmax,viewParam.ymin,viewParam.ymax,-viewParam.zmax,-viewParam.zmin),updateViewMatrix()}function initProjection(){H=-Math.tan(.5*angle)*B[2],center.x=center.y=0,center.z=.5*(b[2]+B[2]),lastzoom=Zoom=Zoom0,viewParam.zmin=b[2],viewParam.zmax=B[2],shift.x=shift.y=0}function setViewport(){gl.viewportWidth=canvasWidth,gl.viewportHeight=canvasHeight,gl.viewp!
ort(0,0,gl.viewportWidth,gl.viewportHeight),gl.scissor(0,0,gl.viewportWidth,gl.viewportHeight)}function setCanvas(){canvas.width=canvasWidth,canvas.height=canvasHeight,embedded&&(offscreen.width=canvasWidth,offscreen.height=canvasHeight),size2=Math.hypot(canvasWidth,canvasHeight),halfCanvasWidth=.5*canvasWidth,halfCanvasHeight=.5*canvasHeight}function setsize(t,e){t>maxViewportWidth&&(t=maxViewportWidth),e>maxViewportHeight&&(e=maxViewportHeight),shift.x*=t/canvasWidth,shift.y*=e/canvasHeight,canvasWidth=t,canvasHeight=e,setCanvas(),setViewport(),home()}function expand(){setsize(canvasWidth*resizeStep+.5,canvasHeight*resizeStep+.5)}function shrink(){setsize(Math.max(canvasWidth/resizeStep+.5,1),Math.max(canvasHeight/resizeStep+.5,1))}function webGLInit(){if(canvas=document.getElementById("Asymptote"),embedded=window.top.document!=document,initGL(),absolute&&!embedded)canvasWidth*=window.devicePixelRatio,canvasHeight*=window.devicePixelRatio;else{canvas.width=Math.max(window.innerWidth-windowTrim,windowTrim),canvas.height=Math.max(window.innerHeight-windowTrim,windowTrim);let t=canvasWidth/canvasHeight;canvas.width>canvas.height*t?canvas.width=Math.min(canvas.height*t,canvas.width):canvas.height=Math.min(canvas.width/t,canvas.height),canvas.width>0&&(canvasWidth=canvas.width),canvas.height>0&&(canvasHeight=canvas.height)}setCanvas(),ArcballFactor=1+8*Math.hypot(viewportmargin[0],viewportmargin[1])/size2,viewportshift[0]/=Zoom0,viewportshift[1]/=Zoom0,gl.enable(gl.BLEND),gl.blendFunc(gl.SRC_ALPHA,gl.ONE_MINUS_SRC_ALPHA),gl.enable(gl.DEPTH_TEST),gl.enable(gl.SCISSOR_TEST),setViewport(),home(),canvas.onmousedown=handleMouseDown,document.onmouseup=handleMouseUpOrTouchEnd,document.onmousemove=handleMouseMove,canvas.onkeydown=handleKey,embedded||enableZoom(),canvas.addEventListener("touchstart",handleTouchStart,!1),canvas.addEventListener("touchend",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchcancel",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchleave",handleMouseUpOrTouchEnd,!1),canvas.addEve!
ntListener("touchmove",handleTouchMove,!1),document.addEventListener("keydown",handleKey,!1)}let listen=!1;class Align{constructor(t,e){if(this.center=t,e){let t=e[0],i=e[1];this.ct=Math.cos(t),this.st=Math.sin(t),this.cp=Math.cos(i),this.sp=Math.sin(i)}}T0(t){return[t[0]+this.center[0],t[1]+this.center[1],t[2]+this.center[2]]}T(t){let e=t[0],i=t[1],a=t[2],r=e*this.ct+a*this.st;return[r*this.cp-i*this.sp+this.center[0],r*this.sp+i*this.cp+this.center[1],-e*this.st+a*this.ct+this.center[2]]}}function Tcorners(t,e,i){let a=[t(e),t([e[0],e[1],i[2]]),t([e[0],i[1],e[2]]),t([e[0],i[1],i[2]]),t([i[0],e[1],e[2]]),t([i[0],e[1],i[2]]),t([i[0],i[1],e[2]]),t(i)];return[minbound(a),maxbound(a)]}function sphere(t,e,i,a,r){let n,s,o,h,l,d,c=[[[1,0,0],[1,0,.370106805057161],[.798938033457256,0,.6932530716149],[.500083269410627,0,.866169630634358],[1,.552284749830793,0],[1,.552284749830793,.370106805057161],[.798938033457256,.441241291938247,.6932530716149],[.500083269410627,.276188363341013,.866169630634358],[.552284749830793,1,0],[.552284749830793,1,.370106805057161],[.441241291938247,.798938033457256,.6932530716149],[.276188363341013,.500083269410627,.866169630634358],[0,1,0],[0,1,.370106805057161],[0,.798938033457256,.6932530716149],[0,.500083269410627,.866169630634358]],[[.500083269410627,0,.866169630634358],[.500083269410627,.276188363341013,.866169630634358],[.35297776917154,0,.951284475617087],[.276188363341013,.500083269410627,.866169630634358],[.264153721902467,.264153721902467,1],[.182177944773632,0,1],[0,.500083269410627,.866169630634358],[0,.35297776917154,.951284475617087],[0,.182177944773632,1],[0,0,1]]],m=new Align(t,r);function f(t){let e=Array(t.length);for(let i=0;i<t.length;++i){let a=t[i];e[i]=l([n*a[0],s*a[1],o*a[2]])}return e}r?(h=1,d=0,l=m.T.bind(m)):(h=-1,d=-e,l=m.T0.bind(m));let u=Tcorners(l,[-e,-e,d],[e,e,e]),p=u[0],v=u[1];for(let t=-1;t<=1;t+=2){n=t*e;for(let t=-1;t<=1;t+=2){s=t*e;for(let t=h;t<=1;t+=2){o=t*e;for(let t=0;t<2;++t)P.push(new BezierPatch(f(c[t]),i,a,p,v))}}}}let a=4/3*(Math.sqrt(2)-1);fu!
nction disk(t,e,i,r,n){let s=1-2*a/3,o=[[1,0,0],[1,-a,0],[a,-1,0],[0,-1,0],[1,a,0],[s,0,0],[0,-s,0],[-a,-1,0],[a,1,0],[0,s,0],[-s,0,0],[-1,-a,0],[0,1,0],[-a,1,0],[-1,a,0],[-1,0,0]],h=new Align(t,n);let l=Tcorners(h.T.bind(h),[-e,-e,0],[e,e,0]);P.push(new BezierPatch(function(t){let i=Array(t.length);for(let a=0;a<t.length;++a){let r=t[a];i[a]=h.T([e*r[0],e*r[1],0])}return i}(o),i,r,l[0],l[1]))}function cylinder(t,e,i,r,n,s,o){let h,l,d=[[1,0,0],[1,0,1/3],[1,0,2/3],[1,0,1],[1,a,0],[1,a,1/3],[1,a,2/3],[1,a,1],[a,1,0],[a,1,1/3],[a,1,2/3],[a,1,1],[0,1,0],[0,1,1/3],[0,1,2/3],[0,1,1]],c=new Align(t,s);function m(t){let e=Array(t.length);for(let a=0;a<t.length;++a){let r=t[a];e[a]=c.T([h*r[0],l*r[1],i*r[2]])}return e}let f=Tcorners(c.T.bind(c),[-e,-e,0],[e,e,i]),u=f[0],p=f[1];for(let t=-1;t<=1;t+=2){h=t*e;for(let t=-1;t<=1;t+=2)l=t*e,P.push(new BezierPatch(m(d),r,n,u,p))}if(o){let e=c.T([0,0,i]);P.push(new BezierCurve([t,e],r,n,t,e))}}function rmf(t,e,i,a,r){class n{constructor(t,e,i){this.p=t,this.r=e,this.t=i,this.s=cross(i,e)}}let s=Number.EPSILON*Math.max(abs2(t),abs2(e),abs2(i),abs2(a));function o(r){if(1==r){let r=[a[0]-i[0],a[1]-i[1],a[2]-i[2]];return abs2(r)>s?unit(r):abs2(r=[2*i[0]-e[0]-a[0],2*i[1]-e[1]-a[1],2*i[2]-e[2]-a[2]])>s?unit(r):[a[0]-t[0]+3*(e[0]-i[0]),a[1]-t[1]+3*(e[1]-i[1]),a[2]-t[2]+3*(e[2]-i[2])]}let n=[a[0]-t[0]+3*(e[0]-i[0]),a[1]-t[1]+3*(e[1]-i[1]),a[2]-t[2]+3*(e[2]-i[2])],o=[2*(t[0]+i[0])-4*e[0],2*(t[1]+i[1])-4*e[1],2*(t[2]+i[2])-4*e[2]],h=[e[0]-t[0],e[1]-t[1],e[2]-t[2]],l=r*r,d=[n[0]*l+o[0]*r+h[0],n[1]*l+o[1]*r+h[1],n[2]*l+o[2]*r+h[2]];return abs2(d)>s?unit(d):abs2(d=[n[0]*(l=2*r)+o[0],n[1]*l+o[1],n[2]*l+o[2]])>s?unit(d):unit(n)}let h=Array(r.length),l=[e[0]-t[0],e[1]-t[1],e[2]-t[2]];abs2(l)<s&&abs2(l=[t[0]-2*e[0]+i[0],t[1]-2*e[1]+i[1],t[2]-2*e[2]+i[2]])<s&&(l=[a[0]-t[0]+3*(e[0]-i[0]),a[1]-t[1]+3*(e[1]-i[1]),a[2]-t[2]+3*(e[2]-i[2])]);let d=function(t){let e=cross(t,[0,1,0]),i=Number.EPSILON*abs2(t);return abs2(e)>i?unit(e):abs2(e=cross(t,[0,0,1]))>i?unit(e):[1,0,0]}(l=unit(l));h[0]=new n(t,d,l!
);for(let s=1;s<r.length;++s){let l=h[s-1],d=r[s],c=1-d,m=c*c,f=m*c,u=3*d;m*=u,c*=u*d;let p=d*d*d,v=[f*t[0]+m*e[0]+c*i[0]+p*a[0],f*t[1]+m*e[1]+c*i[1]+p*a[1],f*t[2]+m*e[2]+c*i[2]+p*a[2]],g=[v[0]-l.p[0],v[1]-l.p[1],v[2]-l.p[2]];if(0!=g[0]||0!=g[1]||0!=g[2]){let t=l.r,e=unit(g),i=l.t,a=dot(e,i),r=[i[0]-2*a*e[0],i[1]-2*a*e[1],i[2]-2*a*e[2]];i=o(d);let c=2*dot(e,t),m=[t[0]-c*e[0],t[1]-c*e[1],t[2]-c*e[2]],f=unit([i[0]-r[0],i[1]-r[1],i[2]-r[2]]),u=2*dot(f,m);m=[m[0]-u*f[0],m[1]-u*f[1],m[2]-u*f[2]],h[s]=new n(v,unit(m),unit(i))}else h[s]=h[s-1]}return h}function tube(t,e,i,r,n,s,o){let h=rmf(t[0],t[1],t[2],t[3],[0,1/3,2/3,1]),l=a*e,d=[[e,0],[e,l],[l,e],[0,e]];function c(e,a,o,l){let c=Array(16);for(let i=0;i<4;++i){let r=h[i],n=r.r[0],s=r.s[0],m=n*e+s*a,f=n*o+s*l,u=(n=r.r[1])*e+(s=r.s[1])*a,p=n*o+s*l,v=(n=r.r[2])*e+(s=r.s[2])*a,g=n*o+s*l,w=t[i],x=w[0];w1=w[1],w2=w[2];for(let t=0;t<4;++t){let e=d[t],a=e[0],r=e[1];c[4*i+t]=[m*a+f*r+x,u*a+p*r+w1,v*a+g*r+w2]}}P.push(new BezierPatch(c,i,r,n,s))}c(1,0,0,1),c(0,-1,1,0),c(-1,0,0,-1),c(0,1,-1,0),o&&P.push(new BezierCurve(t,i,r,n,s))}function webGLStart(){0==window.innerWidth||0==window.innerHeight?listen||(listen=!0,window.addEventListener("resize",webGLStart,!1)):(listen&&(window.removeEventListener("resize",webGLStart,!1),listen=!1),webGLInit())}
+let vertex="\nattribute vec3 position;\n#ifdef WIDTH\nattribute float width;\n#endif\n#ifdef NORMAL\nattribute vec3 normal;\n#endif\nattribute float materialIndex;\n#ifdef COLOR\nattribute vec4 color;\n#endif\n\nuniform mat3 normMat;\nuniform mat4 viewMat;\nuniform mat4 projViewMat;\n\n#ifdef NORMAL\n#ifndef ORTHOGRAPHIC\nvarying vec3 ViewPosition;\n#endif\nvarying vec3 Normal;\n#endif\nvarying vec4 diffuse;\nvarying vec3 specular;\nvarying float roughness,metallic,fresnel0;\nvarying vec4 emissive;\n\nstruct Material {\n vec4 diffuse,emissive,specular;\n vec4 parameters;\n};\n\nuniform Material Materials[Nmaterials];\n\nvoid main(void)\n{\n vec4 v=vec4(position,1.0);\n gl_Position=projViewMat*v;\n#ifdef NORMAL\n#ifndef ORTHOGRAPHIC\n ViewPosition=(viewMat*v).xyz;\n#endif \n Normal=normalize(normal*normMat);\n \n Material m;\n#ifdef TRANSPARENT\n m=Materials[int(abs(materialIndex))-1];\n emissive=m.emissive;\n if(materialIndex >= 0.0) {\n diffuse=m.diffuse;\n } else {\n diffuse=color;\n#if nlights == 0\n emissive += color;\n#endif\n }\n#else\n m=Materials[int(materialIndex)];\n emissive=m.emissive;\n#ifdef COLOR\n diffuse=color;\n#if nlights == 0\n emissive += color;\n#endif\n#else\n diffuse=m.diffuse;\n#endif\n#endif\n specular=m.specular.rgb;\n vec4 parameters=m.parameters;\n roughness=1.0-parameters[0];\n metallic=parameters[1];\n fresnel0=parameters[2];\n#else\n emissive=Materials[int(materialIndex)].emissive;\n#endif\n#ifdef WIDTH\n gl_PointSize=width;\n#endif\n}\n",fragment="\n#ifdef NORMAL\n#ifndef ORTHOGRAPHIC\nvarying vec3 ViewPosition;\n#endif\nvarying vec3 Normal;\nvarying vec4 diffuse;\nvarying vec3 specular;\nvarying float roughness,metallic,fresnel0;\n\nfloat Roughness2;\nvec3 normal;\n\nstruct Light {\n vec3 direction;\n vec3 color;\n};\n\nuniform Light Lights[Nlights];\n\nfloat NDF_TRG(vec3 h)\n{\n float ndoth=max(dot(normal,h),0.0);\n float alpha2=Roughness2*Roughness2;\n float denom=ndoth*ndoth*(alpha2-1.0)+1.0;\n return denom != 0.0 !
? alpha2/(denom*denom) : 0.0;\n}\n \nfloat GGX_Geom(vec3 v)\n{\n float ndotv=max(dot(v,normal),0.0);\n float ap=1.0+Roughness2;\n float k=0.125*ap*ap;\n return ndotv/((ndotv*(1.0-k))+k);\n}\n \nfloat Geom(vec3 v, vec3 l)\n{\n return GGX_Geom(v)*GGX_Geom(l);\n}\n \nfloat Fresnel(vec3 h, vec3 v, float fresnel0)\n{\n float a=1.0-max(dot(h,v),0.0);\n float b=a*a;\n return fresnel0+(1.0-fresnel0)*b*b*a;\n}\n \n// physical based shading using UE4 model.\nvec3 BRDF(vec3 viewDirection, vec3 lightDirection)\n{\n vec3 lambertian=diffuse.rgb;\n vec3 h=normalize(lightDirection+viewDirection);\n \n float omegain=max(dot(viewDirection,normal),0.0);\n float omegali=max(dot(lightDirection,normal),0.0);\n \n float D=NDF_TRG(h);\n float G=Geom(viewDirection,lightDirection);\n float F=Fresnel(h,viewDirection,fresnel0);\n \n float denom=4.0*omegain*omegali;\n float rawReflectance=denom > 0.0 ? (D*G)/denom : 0.0;\n \n vec3 dielectric=mix(lambertian,rawReflectance*specular,F);\n vec3 metal=rawReflectance*diffuse.rgb;\n \n return mix(dielectric,metal,metallic);\n}\n#endif\nvarying vec4 emissive;\n \nvoid main(void)\n{\n#if defined(NORMAL) && nlights > 0\n normal=normalize(Normal);\n normal=gl_FrontFacing ? normal : -normal;\n#ifdef ORTHOGRAPHIC\n vec3 viewDir=vec3(0.0,0.0,1.0);\n#else\n vec3 viewDir=-normalize(ViewPosition);\n#endif\n Roughness2=roughness*roughness;\n vec3 color=emissive.rgb;\n for(int i=0; i < nlights; ++i) {\n Light Li=Lights[i];\n vec3 L=Li.direction;\n float cosTheta=max(dot(normal,L),0.0);\n vec3 radiance=cosTheta*Li.color;\n color += BRDF(viewDir,L)*radiance;\n }\n gl_FragColor=vec4(color,diffuse.a);\n#else\n gl_FragColor=emissive;\n#endif\n}\n";!function(t,e){if("object"==typeof exports&&"object"==typeof module)module.exports=e();else if("function"==typeof define&&define.amd)define([],e);else{var i=e();for(var a in i)("object"==typeof exports?exports:t)[a]=i[a]}}("undefined"!=typeof self?self:this,function(){return function(t){!
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]=x*r+M*h+b*m+A*v,t[14]=x*n+M*l+b*f+A*g,t[15]=x*s+M*d+b*u+A*w,t}}])});let canvasWidth,canvasHeight,b,B,angle,Zoom0,viewportmargin,zoomFactor,zoomPinchFactor,zoomPinchCap,zoomStep,shiftHoldDistance,shiftWaitTime,vibrateTime,embedded,canvas,gl,alpha,offscreen,context,maxMaterials,halfCanvasWidth,halfCanvasHeight,Zoom,P=[],Materials=[],Lights=[],Centers=[],Background=[1,1,1,1],absolute=!1,viewportshift=[0,0],nlights=0,Nmaterials=2,materials=[],pixel=.75,FillFactor=.1,maxViewportWidth=window.innerWidth,maxViewportHeight=window.innerHeight;const windowTrim=10;let lastzoom,H,zmin,zmax,size2,ArcballFactor,positionBuffer,materialBuffer,colorBuffer,indexBuffer,resizeStep=1.2,third=1/3,rotMat=mat4.create(),projMat=mat4.create(),viewMat=mat4.create(),projViewMat=mat4.create(),normMat=mat3.create(),viewMat3=mat3.create(),cjMatInv=mat4.create(),T=mat4.create(),center={x:0,y:0,z:0},shift={x:0,y:0},viewParam={xmin:0,xmax:0,ymin:0,ymax:0,zmin:0,zmax:0},remesh=!0,wireframe=0,mouseDownOrTouchActive=!1,lastMouseX=null,lastMouseY=null,touchID=null,Positions=[],Normals=[],Colors=[],Indices=[];class Material{constructor(t,e,i,a,r,n){this.diffuse=t,this.emissive=e,this.specular=i,this.shininess=a,this.metallic=r,this.fresnel0=n}setUniform(t,e){let i=i=>gl.getUniformLocation(t,"Materials["+e+"]."+i);gl.uniform4fv(i("diffuse"),new Float32Array(this.diffuse)),gl.uniform4fv(i("emissive"),new Float32Array(this.emissive)),gl.uniform4fv(i("specular"),new Float32Array(this.specular)),gl.uniform4f(i("parameters"),this.shininess,this.metallic,this.fresnel0,0)}}let indexExt,TRIANGLES,material0Data,material1Data,materialData,colorData,transparentData,triangleData,materialIndex,enumPointLight=1,enumDirectionalLight=2;class Light{constructor(t,e){this.direction=t,this.color=e}setUniform(t,e){let i=i=>gl.getUniformLocation(t,"Lights["+e+"]."+i);gl.uniform3fv(i("direction"),new Float32Array(this.direction)),gl.uniform3fv(i("color"),new Float32Array(this.color))}}function initShaders(){let t=gl.getParameter(gl.MAX_VERTEX_UNIFORM_VECTORS);maxMaterials=!
Math.floor((t-14)/4),Nmaterials=Math.min(Math.max(Nmaterials,Materials.length),maxMaterials),pixelShader=initShader(["WIDTH"]),materialShader=initShader(["NORMAL"]),colorShader=initShader(["NORMAL","COLOR"]),transparentShader=initShader(["NORMAL","COLOR","TRANSPARENT"])}function deleteShaders(){gl.deleteProgram(transparentShader),gl.deleteProgram(colorShader),gl.deleteProgram(materialShader),gl.deleteProgram(pixelShader)}function setBuffers(){positionBuffer=gl.createBuffer(),materialBuffer=gl.createBuffer(),colorBuffer=gl.createBuffer(),indexBuffer=gl.createBuffer()}function noGL(){gl||alert("Could not initialize WebGL")}function saveAttributes(){let t=window.top.document.asygl[alpha];t.gl=gl,t.nlights=Lights.length,t.Nmaterials=Nmaterials,t.maxMaterials=maxMaterials,t.pixelShader=pixelShader,t.materialShader=materialShader,t.colorShader=colorShader,t.transparentShader=transparentShader}function restoreAttributes(){let t=window.top.document.asygl[alpha];gl=t.gl,nlights=t.nlights,Nmaterials=t.Nmaterials,maxMaterials=t.maxMaterials,pixelShader=t.pixelShader,materialShader=t.materialShader,colorShader=t.colorShader,transparentShader=t.transparentShader}function initGL(){if(alpha=Background[3]<1,embedded){let t=window.top.document;null==t.asygl&&(t.asygl=Array(2)),context=canvas.getContext("2d"),(offscreen=t.offscreen)||(offscreen=t.createElement("canvas"),t.offscreen=offscreen),t.asygl[alpha]&&t.asygl[alpha].gl?(restoreAttributes(),(Lights.length!=nlights||Math.min(Materials.length,maxMaterials)>Nmaterials)&&(initShaders(),saveAttributes())):((gl=offscreen.getContext("webgl",{alpha:alpha}))||noGL(),initShaders(),t.asygl[alpha]={},saveAttributes())}else(gl=canvas.getContext("webgl",{alpha:alpha}))||noGL(),initShaders();setBuffers(),indexExt=gl.getExtension("OES_element_index_uint"),TRIANGLES=gl.TRIANGLES,material0Data=new vertexBuffer(gl.POINTS),material1Data=new vertexBuffer(gl.LINES),materialData=new vertexBuffer,colorData=new vertexBuffer,transparentData=new vertexBuffer,triangleData=new vertexBuffer}function get!
Shader(t,e,i,a=[]){let r=`#version 100\n#ifdef GL_FRAGMENT_PRECISION_HIGH\n precision highp float;\n#else\n precision mediump float;\n#endif\n #define nlights ${0==wireframe?Lights.length:0}\n\n const int Nlights=${Math.max(Lights.length,1)};\n\n #define Nmaterials ${Nmaterials}\n`;orthographic&&(r+="#define ORTHOGRAPHIC\n"),a.forEach(t=>r+="#define "+t+"\n");let n=t.createShader(i);return t.shaderSource(n,r+e),t.compileShader(n),t.getShaderParameter(n,t.COMPILE_STATUS)?n:(alert(t.getShaderInfoLog(n)),null)}function drawBuffer(t,e,i=t.indices){if(0==t.indices.length)return;let a=e!=pixelShader;setUniforms(t,e),gl.bindBuffer(gl.ARRAY_BUFFER,positionBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Float32Array(t.vertices),gl.STATIC_DRAW),gl.vertexAttribPointer(positionAttribute,3,gl.FLOAT,!1,a?24:16,0),a&&Lights.length>0?gl.vertexAttribPointer(normalAttribute,3,gl.FLOAT,!1,24,12):pixel&&gl.vertexAttribPointer(widthAttribute,1,gl.FLOAT,!1,16,12),gl.bindBuffer(gl.ARRAY_BUFFER,materialBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Int16Array(t.materialIndices),gl.STATIC_DRAW),gl.vertexAttribPointer(materialAttribute,1,gl.SHORT,!1,2,0),e!=colorShader&&e!=transparentShader||(gl.bindBuffer(gl.ARRAY_BUFFER,colorBuffer),gl.bufferData(gl.ARRAY_BUFFER,new Uint8Array(t.colors),gl.STATIC_DRAW),gl.vertexAttribPointer(colorAttribute,4,gl.UNSIGNED_BYTE,!0,0,0)),gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER,indexBuffer),gl.bufferData(gl.ELEMENT_ARRAY_BUFFER,indexExt?new Uint32Array(i):new Uint16Array(i),gl.STATIC_DRAW),gl.drawElements(a?wireframe?gl.LINES:t.type:gl.POINTS,i.length,indexExt?gl.UNSIGNED_INT:gl.UNSIGNED_SHORT,0)}class vertexBuffer{constructor(t){this.type=t||TRIANGLES,this.clear()}clear(){this.vertices=[],this.materialIndices=[],this.colors=[],this.indices=[],this.nvertices=0,this.materials=[],this.materialTable=[]}vertex(t,e){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.materialIndices.push(materialIndex),this.nver!
tices++}Vertex(t,e,i=[0,0,0,0]){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e[0]),this.vertices.push(e[1]),this.vertices.push(e[2]),this.materialIndices.push(materialIndex),this.colors.push(i[0]),this.colors.push(i[1]),this.colors.push(i[2]),this.colors.push(i[3]),this.nvertices++}vertex0(t,e){return this.vertices.push(t[0]),this.vertices.push(t[1]),this.vertices.push(t[2]),this.vertices.push(e),this.materialIndices.push(materialIndex),this.nvertices++}iVertex(t,e,i,a=[0,0,0,0]){let r=6*t;this.vertices[r]=e[0],this.vertices[r+1]=e[1],this.vertices[r+2]=e[2],this.vertices[r+3]=i[0],this.vertices[r+4]=i[1],this.vertices[r+5]=i[2],this.materialIndices[t]=materialIndex;let n=4*t;this.colors[n]=a[0],this.colors[n+1]=a[1],this.colors[n+2]=a[2],this.colors[n+3]=a[3],this.indices.push(t)}append(t){append(this.vertices,t.vertices),append(this.materialIndices,t.materialIndices),append(this.colors,t.colors),appendOffset(this.indices,t.indices,this.nvertices),this.nvertices+=t.nvertices}}function append(t,e){let i=t.length,a=e.length;t.length+=a;for(let r=0;r<a;++r)t[i+r]=e[r]}function appendOffset(t,e,i){let a=t.length,r=e.length;t.length+=e.length;for(let n=0;n<r;++n)t[a+n]=e[n]+i}class Geometry{constructor(){this.data=new vertexBuffer,this.Onscreen=!1,this.m=[]}offscreen(t){let e=projViewMat,i=t[0],a=i[0],r=i[1],n=i[2],s=1/(e[3]*a+e[7]*r+e[11]*n+e[15]);this.x=this.X=(e[0]*a+e[4]*r+e[8]*n+e[12])*s,this.y=this.Y=(e[1]*a+e[5]*r+e[9]*n+e[13])*s;for(let i=1,a=t.length;i<a;++i){let a=t[i],r=a[0],n=a[1],s=a[2],o=1/(e[3]*r+e[7]*n+e[11]*s+e[15]),h=(e[0]*r+e[4]*n+e[8]*s+e[12])*o,l=(e[1]*r+e[5]*n+e[9]*s+e[13])*o;h<this.x?this.x=h:h>this.X&&(this.X=h),l<this.y?this.y=l:l>this.Y&&(this.Y=l)}return(this.X<-1.01||this.x>1.01||this.Y<-1.01||this.y>1.01)&&(this.Onscreen=!1,!0)}T(t){let e=this.c[0],i=this.c[1],a=this.c[2],r=t[0]-e,n=t[1]-i,s=t[2]-a;return[r*normMat[0]+n*normMat[3]+s*normMat[6]+e,r*normMat[1]+n*normMat[4]+s*normMat[7]+i,r*normMat[2]+n*normMat[5]+s*normMat[8]+a]}Tcorn!
ers(t,e){return[this.T(t),this.T([t[0],t[1],e[2]]),this.T([t[0],e[1],t[2]]),this.T([t[0],e[1],e[2]]),this.T([e[0],t[1],t[2]]),this.T([e[0],t[1],e[2]]),this.T([e[0],e[1],t[2]]),this.T(e)]}setMaterial(t,e){null==t.materialTable[this.MaterialIndex]&&(t.materials.length>=Nmaterials&&e(),t.materialTable[this.MaterialIndex]=t.materials.length,t.materials.push(Materials[this.MaterialIndex])),materialIndex=t.materialTable[this.MaterialIndex]}render(){let t;if(this.setMaterialIndex(),0==this.CenterIndex?t=corners(this.Min,this.Max):(this.c=Centers[this.CenterIndex-1],t=this.Tcorners(this.Min,this.Max)),this.offscreen(t))return void this.data.clear();let e,i=this.controlpoints;if(0==this.CenterIndex){if(!remesh&&this.Onscreen)return void this.append();e=i}else{let t=i.length;e=Array(t);for(let a=0;a<t;++a)e[a]=this.T(i[a])}let a=orthographic?1:this.Min[2]/B[2],r=pixel*Math.hypot(a*(viewParam.xmax-viewParam.xmin),a*(viewParam.ymax-viewParam.ymin))/size2;this.res2=r*r,this.Epsilon=FillFactor*r,this.data.clear(),this.Onscreen=!0,this.process(e)}}class BezierPatch extends Geometry{constructor(t,e,i,a,r,n){super(),this.controlpoints=t,this.Min=a,this.Max=r,this.color=n,this.CenterIndex=e;let s=t.length;if(n){let t=n[0][3]+n[1][3]+n[2][3];this.transparent=16==s||4==s?t+n[3][3]<1020:t<765}else this.transparent=Materials[i].diffuse[3]<1;this.MaterialIndex=i,this.vertex=this.transparent?this.data.Vertex.bind(this.data):this.data.vertex.bind(this.data),this.L2norm(this.controlpoints)}setMaterialIndex(){this.transparent?this.setMaterial(transparentData,drawTransparent):this.color?this.setMaterial(colorData,drawColor):this.setMaterial(materialData,drawMaterial)}L2norm(t){let e=t[0];this.epsilon=0;let i=t.length;for(let a=1;a<i;++a)this.epsilon=Math.max(this.epsilon,abs2([t[a][0]-e[0],t[a][1]-e[1],t[a][2]-e[2]]));this.epsilon*=Number.EPSILON}processTriangle(t){let e=t[0],i=t[1],a=t[2],r=unit(cross([i[0]-e[0],i[1]-e[1],i[2]-e[2]],[a[0]-e[0],a[1]-e[1],a[2]-e[2]]));if(!this.offscreen([e,i,a])){let t,n,s;this.color?(t=this.data.Vertex(e,r!
,this.color[0]),n=this.data.Vertex(i,r,this.color[1]),s=this.data.Vertex(a,r,this.color[2])):(t=this.vertex(e,r),n=this.vertex(i,r),s=this.vertex(a,r)),0==wireframe?(this.data.indices.push(t),this.data.indices.push(n),this.data.indices.push(s)):(this.data.indices.push(t),this.data.indices.push(n),this.data.indices.push(n),this.data.indices.push(s),this.data.indices.push(s),this.data.indices.push(t)),this.append()}}processQuad(t){let e=t[0],i=t[1],a=t[2],r=t[3],n=cross([i[0]-e[0],i[1]-e[1],i[2]-e[2]],[a[0]-i[0],a[1]-i[1],a[2]-i[2]]),s=cross([a[0]-r[0],a[1]-r[1],a[2]-r[2]],[r[0]-e[0],r[1]-e[1],r[2]-e[2]]),o=unit([n[0]+s[0],n[1]+s[1],n[2]+s[2]]);if(!this.offscreen([e,i,a,r])){let t,n,s,h;this.color?(t=this.data.Vertex(e,o,this.color[0]),n=this.data.Vertex(i,o,this.color[1]),s=this.data.Vertex(a,o,this.color[2]),h=this.data.Vertex(r,o,this.color[3])):(t=this.vertex(e,o),n=this.vertex(i,o),s=this.vertex(a,o),h=this.vertex(r,o)),0==wireframe?(this.data.indices.push(t),this.data.indices.push(n),this.data.indices.push(s),this.data.indices.push(t),this.data.indices.push(s),this.data.indices.push(h)):(this.data.indices.push(t),this.data.indices.push(n),this.data.indices.push(n),this.data.indices.push(s),this.data.indices.push(s),this.data.indices.push(h),this.data.indices.push(h),this.data.indices.push(t)),this.append()}}curve(t,e,i,a,r){new BezierCurve([t[e],t[i],t[a],t[r]],0,materialIndex,this.Min,this.Max).render()}process(t){if(this.transparent&&1!=wireframe&&(materialIndex=this.color?-1-materialIndex:1+materialIndex),10==t.length)return this.process3(t);if(3==t.length)return this.processTriangle(t);if(4==t.length)return this.processQuad(t);if(1==wireframe)return this.curve(t,0,4,8,12),this.curve(t,12,13,14,15),this.curve(t,15,11,7,3),void this.curve(t,3,2,1,0);let e=t[0],i=t[3],a=t[12],r=t[15],n=this.normal(i,t[2],t[1],e,t[4],t[8],a);abs2(n)<this.epsilon&&abs2(n=this.normal(i,t[2],t[1],e,t[13],t[14],r))<this.epsilon&&(n=this.normal(r,t[11],t[7],i,t[4],t[8],a));let s=this.normal(e,t[4],t[8],a,t[13],t[14],r);abs2(s)<th!
is.epsilon&&abs2(s=this.normal(e,t[4],t[8],a,t[11],t[7],i))<this.epsilon&&(s=this.normal(i,t[2],t[1],e,t[13],t[14],r));let o=this.normal(a,t[13],t[14],r,t[11],t[7],i);abs2(o)<this.epsilon&&abs2(o=this.normal(a,t[13],t[14],r,t[2],t[1],e))<this.epsilon&&(o=this.normal(e,t[4],t[8],a,t[11],t[7],i));let h=this.normal(r,t[11],t[7],i,t[2],t[1],e);if(abs2(h)<this.epsilon&&abs2(h=this.normal(r,t[11],t[7],i,t[4],t[8],a))<this.epsilon&&(h=this.normal(a,t[13],t[14],r,t[2],t[1],e)),this.color){let l=this.color[0],d=this.color[1],c=this.color[2],m=this.color[3],f=this.data.Vertex(e,n,l),u=this.data.Vertex(a,s,d),p=this.data.Vertex(r,o,c),v=this.data.Vertex(i,h,m);this.Render(t,f,u,p,v,e,a,r,i,!1,!1,!1,!1,l,d,c,m)}else{let l=this.vertex(e,n),d=this.vertex(a,s),c=this.vertex(r,o),m=this.vertex(i,h);this.Render(t,l,d,c,m,e,a,r,i,!1,!1,!1,!1)}this.data.indices.length>0&&this.append()}append(){this.transparent?transparentData.append(this.data):this.color?colorData.append(this.data):materialData.append(this.data)}Render(t,e,i,a,r,n,s,o,h,l,d,c,m,f,u,p,v){let g=this.Distance(t);if(g[0]<this.res2&&g[1]<this.res2)this.offscreen([n,s,o])||(0==wireframe?(this.data.indices.push(e),this.data.indices.push(i),this.data.indices.push(a)):(this.data.indices.push(e),this.data.indices.push(i),this.data.indices.push(i),this.data.indices.push(a))),this.offscreen([n,o,h])||(0==wireframe?(this.data.indices.push(e),this.data.indices.push(a),this.data.indices.push(r)):(this.data.indices.push(a),this.data.indices.push(r),this.data.indices.push(r),this.data.indices.push(e)));else{if(this.offscreen(t))return;let w=t[0],x=t[3],M=t[12],b=t[15];if(g[0]<this.res2){let g=new Split3(w,t[1],t[2],x),A=new Split3(t[4],t[5],t[6],t[7]),S=new Split3(t[8],t[9],t[10],t[11]),P=new Split3(M,t[13],t[14],b),R=[w,g.m0,g.m3,g.m5,t[4],A.m0,A.m3,A.m5,t[8],S.m0,S.m3,S.m5,M,P.m0,P.m3,P.m5],T=[g.m5,g.m4,g.m2,x,A.m5,A.m4,A.m2,t[7],S.m5,S.m4,S.m2,t[11],P.m5,P.m4,P.m2,b],y=this.normal(R[12],R[13],R[14],R[15],R[11],R[7],R[3]);abs2(y)<=this.epsilon&&abs2(y=this.normal(R[12],R[13],R[1!
4],R[15],R[2],R[1],R[0]))<=this.epsilon&&(y=this.normal(R[0],R[4],R[8],R[12],R[11],R[7],R[3]));let D=this.normal(T[3],T[2],T[1],T[0],T[4],T[8],T[12]);abs2(D)<=this.epsilon&&abs2(D=this.normal(T[3],T[2],T[1],T[0],T[13],T[14],T[15]))<=this.epsilon&&(D=this.normal(T[15],T[11],T[7],T[3],T[4],T[8],T[12]));let I=this.Epsilon,z=[.5*(s[0]+o[0]),.5*(s[1]+o[1]),.5*(s[2]+o[2])];if(!d)if(d=Straightness(M,t[13],t[14],b)<this.res2){let t=unit(this.differential(T[12],T[8],T[4],T[0]));z=[z[0]-I*t[0],z[1]-I*t[1],z[2]-I*t[2]]}else z=R[15];let E=[.5*(h[0]+n[0]),.5*(h[1]+n[1]),.5*(h[2]+n[2])];if(!m)if(m=Straightness(w,t[1],t[2],x)<this.res2){let t=unit(this.differential(R[3],R[7],R[11],R[15]));E=[E[0]-I*t[0],E[1]-I*t[1],E[2]-I*t[2]]}else E=T[0];if(f){let t=Array(4),g=Array(4);for(let e=0;e<4;++e)t[e]=.5*(u[e]+p[e]),g[e]=.5*(v[e]+f[e]);let w=this.data.Vertex(z,y,t),x=this.data.Vertex(E,D,g);this.Render(R,e,i,w,x,n,s,z,E,l,d,!1,m,f,u,t,g),this.Render(T,x,w,a,r,E,z,o,h,!1,d,c,m,g,t,p,v)}else{let t=this.vertex(z,y),f=this.vertex(E,D);this.Render(R,e,i,t,f,n,s,z,E,l,d,!1,m),this.Render(T,f,t,a,r,E,z,o,h,!1,d,c,m)}return}if(g[1]<this.res2){let g=new Split3(w,t[4],t[8],M),A=new Split3(t[1],t[5],t[9],t[13]),S=new Split3(t[2],t[6],t[10],t[14]),P=new Split3(x,t[7],t[11],b),R=[w,t[1],t[2],x,g.m0,A.m0,S.m0,P.m0,g.m3,A.m3,S.m3,P.m3,g.m5,A.m5,S.m5,P.m5],T=[g.m5,A.m5,S.m5,P.m5,g.m4,A.m4,S.m4,P.m4,g.m2,A.m2,S.m2,P.m2,M,t[13],t[14],b],y=this.normal(R[0],R[4],R[8],R[12],R[13],R[14],R[15]);abs2(y)<=this.epsilon&&abs2(y=this.normal(R[0],R[4],R[8],R[12],R[11],R[7],R[3]))<=this.epsilon&&(y=this.normal(R[3],R[2],R[1],R[0],R[13],R[14],R[15]));let D=this.normal(T[15],T[11],T[7],T[3],T[2],T[1],T[0]);abs2(D)<=this.epsilon&&abs2(D=this.normal(T[15],T[11],T[7],T[3],T[4],T[8],T[12]))<=this.epsilon&&(D=this.normal(T[12],T[13],T[14],T[15],T[2],T[1],T[0]));let I=this.Epsilon,z=[.5*(n[0]+s[0]),.5*(n[1]+s[1]),.5*(n[2]+s[2])];if(!l)if(l=Straightness(w,t[4],t[8],M)<this.res2){let t=unit(this.differential(T[0],T[1],T[2],T[3]));z=[z[0]-I*t[0],z[1]-I*t[1],z[2]-I*t[2]]}el!
se z=R[12];let E=[.5*(o[0]+h[0]),.5*(o[1]+h[1]),.5*(o[2]+h[2])];if(!c)if(c=Straightness(b,t[11],t[7],x)<this.res2){let t=unit(this.differential(R[15],R[14],R[13],R[12]));E=[E[0]-I*t[0],E[1]-I*t[1],E[2]-I*t[2]]}else E=T[3];if(f){let t=Array(4),g=Array(4);for(let e=0;e<4;++e)t[e]=.5*(f[e]+u[e]),g[e]=.5*(p[e]+v[e]);let w=this.data.Vertex(z,y,t),x=this.data.Vertex(E,D,g);this.Render(R,e,w,x,r,n,z,E,h,l,!1,c,m,f,t,g,v),this.Render(T,w,i,a,x,z,s,o,E,l,d,c,!1,t,u,p,g)}else{let t=this.vertex(z,y),f=this.vertex(E,D);this.Render(R,e,t,f,r,n,z,E,h,l,!1,c,m),this.Render(T,t,i,a,f,z,s,o,E,l,d,c,!1)}return}let A=new Split3(w,t[1],t[2],x),S=new Split3(t[4],t[5],t[6],t[7]),P=new Split3(t[8],t[9],t[10],t[11]),R=new Split3(M,t[13],t[14],b),T=new Split3(w,t[4],t[8],M),y=new Split3(A.m0,S.m0,P.m0,R.m0),D=new Split3(A.m3,S.m3,P.m3,R.m3),I=new Split3(A.m5,S.m5,P.m5,R.m5),z=new Split3(A.m4,S.m4,P.m4,R.m4),E=new Split3(A.m2,S.m2,P.m2,R.m2),O=new Split3(x,t[7],t[11],b),L=[w,A.m0,A.m3,A.m5,T.m0,y.m0,D.m0,I.m0,T.m3,y.m3,D.m3,I.m3,T.m5,y.m5,D.m5,I.m5],N=[T.m5,y.m5,D.m5,I.m5,T.m4,y.m4,D.m4,I.m4,T.m2,y.m2,D.m2,I.m2,M,R.m0,R.m3,R.m5],_=[I.m5,z.m5,E.m5,O.m5,I.m4,z.m4,E.m4,O.m4,I.m2,z.m2,E.m2,O.m2,R.m5,R.m4,R.m2,b],B=[A.m5,A.m4,A.m2,x,I.m0,z.m0,E.m0,O.m0,I.m3,z.m3,E.m3,O.m3,I.m5,z.m5,E.m5,O.m5],V=L[15],C=this.normal(L[0],L[4],L[8],L[12],L[13],L[14],L[15]);abs2(C)<this.epsilon&&abs2(C=this.normal(L[0],L[4],L[8],L[12],L[11],L[7],L[3]))<this.epsilon&&(C=this.normal(L[3],L[2],L[1],L[0],L[13],L[14],L[15]));let F=this.normal(N[12],N[13],N[14],N[15],N[11],N[7],N[3]);abs2(F)<this.epsilon&&abs2(F=this.normal(N[12],N[13],N[14],N[15],N[2],N[1],N[0]))<this.epsilon&&(F=this.normal(N[0],N[4],N[8],N[12],N[11],N[7],N[3]));let H=this.normal(_[15],_[11],_[7],_[3],_[2],_[1],_[0]);abs2(H)<this.epsilon&&abs2(H=this.normal(_[15],_[11],_[7],_[3],_[4],_[8],_[12]))<this.epsilon&&(H=this.normal(_[12],_[13],_[14],_[15],_[2],_[1],_[0]));let G=this.normal(B[3],B[2],B[1],B[0],B[4],B[8],B[12]);abs2(G)<this.epsilon&&abs2(G=this.normal(B[3],B[2],B[1],B[0],B[13],B[14],B[15]))<t!
his.epsilon&&(G=this.normal(B[15],B[11],B[7],B[3],B[4],B[8],B[12]));let U=this.normal(_[3],_[2],_[1],V,_[4],_[8],_[12]),W=this.Epsilon,Y=[.5*(n[0]+s[0]),.5*(n[1]+s[1]),.5*(n[2]+s[2])];if(!l)if(l=Straightness(w,t[4],t[8],M)<this.res2){let t=unit(this.differential(N[0],N[1],N[2],N[3]));Y=[Y[0]-W*t[0],Y[1]-W*t[1],Y[2]-W*t[2]]}else Y=L[12];let j=[.5*(s[0]+o[0]),.5*(s[1]+o[1]),.5*(s[2]+o[2])];if(!d)if(d=Straightness(M,t[13],t[14],b)<this.res2){let t=unit(this.differential(_[12],_[8],_[4],_[0]));j=[j[0]-W*t[0],j[1]-W*t[1],j[2]-W*t[2]]}else j=N[15];let k=[.5*(o[0]+h[0]),.5*(o[1]+h[1]),.5*(o[2]+h[2])];if(!c)if(c=Straightness(b,t[11],t[7],x)<this.res2){let t=unit(this.differential(B[15],B[14],B[13],B[12]));k=[k[0]-W*t[0],k[1]-W*t[1],k[2]-W*t[2]]}else k=_[3];let Z=[.5*(h[0]+n[0]),.5*(h[1]+n[1]),.5*(h[2]+n[2])];if(!m)if(m=Straightness(w,t[1],t[2],x)<this.res2){let t=unit(this.differential(L[3],L[7],L[11],L[15]));Z=[Z[0]-W*t[0],Z[1]-W*t[1],Z[2]-W*t[2]]}else Z=B[0];if(f){let t=Array(4),g=Array(4),w=Array(4),x=Array(4),M=Array(4);for(let e=0;e<4;++e)t[e]=.5*(f[e]+u[e]),g[e]=.5*(u[e]+p[e]),w[e]=.5*(p[e]+v[e]),x[e]=.5*(v[e]+f[e]),M[e]=.5*(t[e]+w[e]);let b=this.data.Vertex(Y,C,t),A=this.data.Vertex(j,F,g),S=this.data.Vertex(k,H,w),P=this.data.Vertex(Z,G,x),R=this.data.Vertex(V,U,M);this.Render(L,e,b,R,P,n,Y,V,Z,l,!1,!1,m,f,t,M,x),this.Render(N,b,i,A,R,Y,s,j,V,l,d,!1,!1,t,u,g,M),this.Render(_,R,A,a,S,V,j,o,k,!1,d,c,!1,M,g,p,w),this.Render(B,P,R,S,r,Z,V,k,h,!1,!1,c,m,x,M,w,v)}else{let t=this.vertex(Y,C),f=this.vertex(j,F),u=this.vertex(k,H),p=this.vertex(Z,G),v=this.vertex(V,U);this.Render(L,e,t,v,p,n,Y,V,Z,l,!1,!1,m),this.Render(N,t,i,f,v,Y,s,j,V,l,d,!1,!1),this.Render(_,v,f,a,u,V,j,o,k,!1,d,c,!1),this.Render(B,p,v,u,r,Z,V,k,h,!1,!1,c,m)}}}process3(t){if(1==wireframe)return this.curve(t,0,1,3,6),this.curve(t,6,7,8,9),void this.curve(t,9,5,2,0);let e=t[0],i=t[6],a=t[9],r=this.normal(a,t[5],t[2],e,t[1],t[3],i),n=this.normal(e,t[1],t[3],i,t[7],t[8],a),s=this.normal(i,t[7],t[8],a,t[5],t[2],e);if(this.color){let o=this.color[0],h=this!
.color[1],l=this.color[2],d=this.data.Vertex(e,r,o),c=this.data.Vertex(i,n,h),m=this.data.Vertex(a,s,l);this.Render3(t,d,c,m,e,i,a,!1,!1,!1,o,h,l)}else{let o=this.vertex(e,r),h=this.vertex(i,n),l=this.vertex(a,s);this.Render3(t,o,h,l,e,i,a,!1,!1,!1)}this.data.indices.length>0&&this.append()}Render3(t,e,i,a,r,n,s,o,h,l,d,c,m){if(this.Distance3(t)<this.res2)this.offscreen([r,n,s])||(0==wireframe?(this.data.indices.push(e),this.data.indices.push(i),this.data.indices.push(a)):(this.data.indices.push(e),this.data.indices.push(i),this.data.indices.push(i),this.data.indices.push(a),this.data.indices.push(a),this.data.indices.push(e)));else{if(this.offscreen(t))return;let f=t[0],u=t[1],p=t[2],v=t[3],g=t[4],w=t[5],x=t[6],M=t[7],b=t[8],A=t[9],S=[.5*(A[0]+w[0]),.5*(A[1]+w[1]),.5*(A[2]+w[2])],P=[.5*(A[0]+b[0]),.5*(A[1]+b[1]),.5*(A[2]+b[2])],R=[.5*(w[0]+p[0]),.5*(w[1]+p[1]),.5*(w[2]+p[2])],T=[.5*(b[0]+g[0]),.5*(b[1]+g[1]),.5*(b[2]+g[2])],y=[.5*(b[0]+M[0]),.5*(b[1]+M[1]),.5*(b[2]+M[2])],D=[.5*(p[0]+g[0]),.5*(p[1]+g[1]),.5*(p[2]+g[2])],I=[.5*(p[0]+f[0]),.5*(p[1]+f[1]),.5*(p[2]+f[2])],z=[.5*(g[0]+v[0]),.5*(g[1]+v[1]),.5*(g[2]+v[2])],E=[.5*(M[0]+x[0]),.5*(M[1]+x[1]),.5*(M[2]+x[2])],O=[.5*(f[0]+u[0]),.5*(f[1]+u[1]),.5*(f[2]+u[2])],L=[.5*(u[0]+v[0]),.5*(u[1]+v[1]),.5*(u[2]+v[2])],N=[.5*(v[0]+x[0]),.5*(v[1]+x[1]),.5*(v[2]+x[2])],_=[.5*(S[0]+R[0]),.5*(S[1]+R[1]),.5*(S[2]+R[2])],B=[.5*(P[0]+y[0]),.5*(P[1]+y[1]),.5*(P[2]+y[2])],V=[.5*(R[0]+I[0]),.5*(R[1]+I[1]),.5*(R[2]+I[2])],C=[.5*T[0]+.25*(g[0]+u[0]),.5*T[1]+.25*(g[1]+u[1]),.5*T[2]+.25*(g[2]+u[2])],F=[.5*(y[0]+E[0]),.5*(y[1]+E[1]),.5*(y[2]+E[2])],H=[.5*D[0]+.25*(g[0]+M[0]),.5*D[1]+.25*(g[1]+M[1]),.5*D[2]+.25*(g[2]+M[2])],G=[.25*(w[0]+g[0])+.5*z[0],.25*(w[1]+g[1])+.5*z[1],.25*(w[2]+g[2])+.5*z[2]],U=[.5*(O[0]+L[0]),.5*(O[1]+L[1]),.5*(O[2]+L[2])],W=[.5*(L[0]+N[0]),.5*(L[1]+N[1]),.5*(L[2]+N[2])],Y=[.5*(H[0]+U[0]),.5*(H[1]+U[1]),.5*(H[2]+U[2])],j=[.5*(H[0]+W[0]),.5*(H[1]+W[1]),.5*(H[2]+W[2])],k=[.5*(U[0]+W[0]),.5*(U[1]+W[1]),.5*(U[2]+W[2])],Z=[.5*(G[0]+F[0]),.5*(G[1]+F[1]),.5*(G[2]+F[2])!
],X=[.5*(B[0]+G[0]),.5*(B[1]+G[1]),.5*(B[2]+G[2])],q=[.5*(B[0]+F[0]),.5*(B[1]+F[1]),.5*(B[2]+F[2])],K=[.5*(_[0]+C[0]),.5*(_[1]+C[1]),.5*(_[2]+C[2])],$=[.5*(V[0]+C[0]),.5*(V[1]+C[1]),.5*(V[2]+C[2])],Q=[.5*(_[0]+V[0]),.5*(_[1]+V[1]),.5*(_[2]+V[2])],J=[f,O,I,U,[.5*(D[0]+O[0]),.5*(D[1]+O[1]),.5*(D[2]+O[2])],V,k,Y,$,Q],tt=[k,W,j,N,[.5*(z[0]+E[0]),.5*(z[1]+E[1]),.5*(z[2]+E[2])],Z,x,E,F,q],et=[Q,K,_,X,[.5*(S[0]+T[0]),.5*(S[1]+T[1]),.5*(S[2]+T[2])],S,q,B,P,A],it=[q,X,Z,K,[.25*(R[0]+y[0]+L[0]+g[0]),.25*(R[1]+y[1]+L[1]+g[1]),.25*(R[2]+y[2]+L[2]+g[2])],j,Q,$,Y,k],at=this.normal(k,j,Z,q,X,K,Q),rt=this.normal(q,X,K,Q,$,Y,k),nt=this.normal(Q,$,Y,k,j,Z,q),st=this.Epsilon,ot=[.5*(n[0]+s[0]),.5*(n[1]+s[1]),.5*(n[2]+s[2])];if(!o)if(o=Straightness(x,M,b,A)<this.res2){let t=unit(this.sumdifferential(it[0],it[2],it[5],it[9],it[1],it[3],it[6]));ot=[ot[0]-st*t[0],ot[1]-st*t[1],ot[2]-st*t[2]]}else ot=q;let ht=[.5*(s[0]+r[0]),.5*(s[1]+r[1]),.5*(s[2]+r[2])];if(!h)if(h=Straightness(f,p,w,A)<this.res2){let t=unit(this.sumdifferential(it[6],it[3],it[1],it[0],it[7],it[8],it[9]));ht=[ht[0]-st*t[0],ht[1]-st*t[1],ht[2]-st*t[2]]}else ht=Q;let lt=[.5*(r[0]+n[0]),.5*(r[1]+n[1]),.5*(r[2]+n[2])];if(!l)if(l=Straightness(f,u,v,x)<this.res2){let t=unit(this.sumdifferential(it[9],it[8],it[7],it[6],it[5],it[2],it[0]));lt=[lt[0]-st*t[0],lt[1]-st*t[1],lt[2]-st*t[2]]}else lt=k;if(d){let t=Array(4),f=Array(4),u=Array(4);for(let e=0;e<4;++e)t[e]=.5*(c[e]+m[e]),f[e]=.5*(m[e]+d[e]),u[e]=.5*(d[e]+c[e]);let p=this.data.Vertex(ot,at,t),v=this.data.Vertex(ht,rt,f),g=this.data.Vertex(lt,nt,u);this.Render3(J,e,g,v,r,lt,ht,!1,h,l,d,u,f),this.Render3(tt,g,i,p,lt,n,ot,o,!1,l,u,c,t),this.Render3(et,v,p,a,ht,ot,s,o,h,!1,f,t,m),this.Render3(it,p,v,g,ot,ht,lt,!1,!1,!1,t,f,u)}else{let t=this.vertex(ot,at),d=this.vertex(ht,rt),c=this.vertex(lt,nt);this.Render3(J,e,c,d,r,lt,ht,!1,h,l),this.Render3(tt,c,i,t,lt,n,ot,o,!1,l),this.Render3(et,d,t,a,ht,ot,s,o,h,!1),this.Render3(it,t,d,c,ot,ht,lt,!1,!1,!1)}}}Distance(t){let e=t[0],i=t[3],a=t[12],r=t[15],n=Flatness(e,a,i,r);n=Math.max!
(Straightness(e,t[4],t[8],a)),n=Math.max(n,Straightness(t[1],t[5],t[9],t[13])),n=Math.max(n,Straightness(i,t[7],t[11],r)),n=Math.max(n,Straightness(t[2],t[6],t[10],t[14]));let s=Flatness(e,i,a,r);return s=Math.max(s,Straightness(e,t[1],t[2],i)),s=Math.max(s,Straightness(t[4],t[5],t[6],t[7])),s=Math.max(s,Straightness(t[8],t[9],t[10],t[11])),[n,s=Math.max(s,Straightness(a,t[13],t[14],r))]}Distance3(t){let e=t[0],i=t[4],a=t[6],r=t[9],n=abs2([(e[0]+a[0]+r[0])*third-i[0],(e[1]+a[1]+r[1])*third-i[1],(e[2]+a[2]+r[2])*third-i[2]]);return n=Math.max(n,Straightness(e,t[1],t[3],a)),n=Math.max(n,Straightness(e,t[2],t[5],r)),Math.max(n,Straightness(a,t[7],t[8],r))}differential(t,e,i,a){let r=[3*(e[0]-t[0]),3*(e[1]-t[1]),3*(e[2]-t[2])];return abs2(r)>this.epsilon?r:abs2(r=bezierPP(t,e,i))>this.epsilon?r:bezierPPP(t,e,i,a)}sumdifferential(t,e,i,a,r,n,s){let o=this.differential(t,e,i,a),h=this.differential(t,r,n,s);return[o[0]+h[0],o[1]+h[1],o[2]+h[2]]}normal(t,e,i,a,r,n,s){let o=3*(r[0]-a[0]),h=3*(r[1]-a[1]),l=3*(r[2]-a[2]),d=3*(i[0]-a[0]),c=3*(i[1]-a[1]),m=3*(i[2]-a[2]),f=[h*m-l*c,l*d-o*m,o*c-h*d];if(abs2(f)>this.epsilon)return f;let u=[d,c,m],p=[o,h,l],v=bezierPP(a,i,e),g=bezierPP(a,r,n),w=cross(g,u),x=cross(p,v);if(abs2(f=[w[0]+x[0],w[1]+x[1],w[2]+x[2]])>this.epsilon)return f;let M=bezierPPP(a,i,e,t),b=bezierPPP(a,r,n,s);w=cross(p,M),x=cross(b,u);let A=cross(g,v);return abs2(f=[w[0]+x[0]+A[0],w[1]+x[1]+A[1],w[2]+x[2]+A[2]])>this.epsilon?f:(w=cross(b,v),x=cross(g,M),abs2(f=[w[0]+x[0],w[1]+x[1],w[2]+x[2]])>this.epsilon?f:cross(b,M))}}class BezierCurve extends Geometry{constructor(t,e,i,a,r){super(),this.controlpoints=t,this.Min=a,this.Max=r,this.CenterIndex=e,this.MaterialIndex=i}setMaterialIndex(){this.setMaterial(material1Data,drawMaterial1)}processLine(t){let e=t[0],i=t[1];if(!this.offscreen([e,i])){let t=[0,0,1];this.data.indices.push(this.data.vertex(e,t)),this.data.indices.push(this.data.vertex(i,t)),this.append()}}process(t){if(2==t.length)return this.processLine(t);let e=t[0],i=t[1],a=t[2],r=t[3],n=this.normal(bezier!
P(e,i),bezierPP(e,i,a)),s=this.normal(bezierP(a,r),bezierPP(r,a,i)),o=this.data.vertex(e,n),h=this.data.vertex(r,s);this.Render(t,o,h),this.data.indices.length>0&&this.append()}append(){material1Data.append(this.data)}Render(t,e,i){let a=t[0],r=t[1],n=t[2],s=t[3];if(Straightness(a,r,n,s)<this.res2)this.offscreen([a,s])||(this.data.indices.push(e),this.data.indices.push(i));else{if(this.offscreen(t))return;let o=[.5*(a[0]+r[0]),.5*(a[1]+r[1]),.5*(a[2]+r[2])],h=[.5*(r[0]+n[0]),.5*(r[1]+n[1]),.5*(r[2]+n[2])],l=[.5*(n[0]+s[0]),.5*(n[1]+s[1]),.5*(n[2]+s[2])],d=[.5*(o[0]+h[0]),.5*(o[1]+h[1]),.5*(o[2]+h[2])],c=[.5*(h[0]+l[0]),.5*(h[1]+l[1]),.5*(h[2]+l[2])],m=[.5*(d[0]+c[0]),.5*(d[1]+c[1]),.5*(d[2]+c[2])],f=[a,o,d,m],u=[m,c,l,s],p=this.normal(bezierPh(a,r,n,s),bezierPPh(a,r,n,s)),v=this.data.vertex(m,p);this.Render(f,e,v),this.Render(u,v,i)}}normal(t,e){let i=dot(t,t),a=dot(t,e);return[i*e[0]-a*t[0],i*e[1]-a*t[1],i*e[2]-a*t[2]]}}class Pixel extends Geometry{constructor(t,e,i,a,r){super(),this.controlpoint=t,this.width=e,this.CenterIndex=0,this.MaterialIndex=i,this.Min=a,this.Max=r}setMaterialIndex(){this.setMaterial(material0Data,drawMaterial0)}process(t){this.data.indices.push(this.data.vertex0(this.controlpoint,this.width)),this.append()}append(){material0Data.append(this.data)}}class Triangles extends Geometry{constructor(t,e,i){super(),this.CenterIndex=0,this.MaterialIndex=t,this.Min=e,this.Max=i,this.Positions=Positions,this.Normals=Normals,this.Colors=Colors,this.Indices=Indices,Positions=[],Normals=[],Colors=[],Indices=[],this.transparent=Materials[t].diffuse[3]<1}setMaterialIndex(){this.transparent?this.setMaterial(transparentData,drawTransparent):this.setMaterial(triangleData,drawTriangle)}process(t){materialIndex=this.Colors.length>0?-1-materialIndex:1+materialIndex;for(let t=0,e=this.Indices.length;t<e;++t){let e=this.Indices[t],i=e[0],a=this.Positions[i[0]],r=this.Positions[i[1]],n=this.Positions[i[2]];if(!this.offscreen([a,r,n])){let t=e.length>1?e[1]:i;if(t&&0!=t.length||(t=i),this.Colors.length>0){let s=e!
.length>2?e[2]:i;s&&0!=s.length||(s=i);let o=this.Colors[s[0]],h=this.Colors[s[1]],l=this.Colors[s[2]];this.transparent|=o[3]+h[3]+l[3]<765,0==wireframe?(this.data.iVertex(i[0],a,this.Normals[t[0]],o),this.data.iVertex(i[1],r,this.Normals[t[1]],h),this.data.iVertex(i[2],n,this.Normals[t[2]],l)):(this.data.iVertex(i[0],a,this.Normals[t[0]],o),this.data.iVertex(i[1],r,this.Normals[t[1]],h),this.data.iVertex(i[1],r,this.Normals[t[1]],h),this.data.iVertex(i[2],n,this.Normals[t[2]],l),this.data.iVertex(i[2],n,this.Normals[t[2]],l),this.data.iVertex(i[0],a,this.Normals[t[0]],o))}else 0==wireframe?(this.data.iVertex(i[0],a,this.Normals[t[0]]),this.data.iVertex(i[1],r,this.Normals[t[1]]),this.data.iVertex(i[2],n,this.Normals[t[2]])):(this.data.iVertex(i[0],a,this.Normals[t[0]]),this.data.iVertex(i[1],r,this.Normals[t[1]]),this.data.iVertex(i[1],r,this.Normals[t[1]]),this.data.iVertex(i[2],n,this.Normals[t[2]]),this.data.iVertex(i[2],n,this.Normals[t[2]]),this.data.iVertex(i[0],a,this.Normals[t[0]]))}}this.data.nvertices=this.Positions.length,this.data.indices.length>0&&this.append()}append(){this.transparent?transparentData.append(this.data):triangleData.append(this.data)}}function home(){mat4.identity(rotMat),initProjection(),setProjection(),remesh=!0,draw()}let positionAttribute=0,normalAttribute=1,materialAttribute=2,colorAttribute=3,widthAttribute=4;function initShader(t=[]){let e=getShader(gl,vertex,gl.VERTEX_SHADER,t),i=getShader(gl,fragment,gl.FRAGMENT_SHADER,t),a=gl.createProgram();return gl.attachShader(a,e),gl.attachShader(a,i),gl.bindAttribLocation(a,positionAttribute,"position"),gl.bindAttribLocation(a,normalAttribute,"normal"),gl.bindAttribLocation(a,materialAttribute,"materialIndex"),gl.bindAttribLocation(a,colorAttribute,"color"),gl.bindAttribLocation(a,widthAttribute,"width"),gl.linkProgram(a),gl.getProgramParameter(a,gl.LINK_STATUS)||alert("Could not initialize shaders"),a}class Split3{constructor(t,e,i,a){this.m0=[.5*(t[0]+e[0]),.5*(t[1]+e[1]),.5*(t[2]+e[2])];let r=.5*(e[0]+i[0]),n=.5*(e[1]+i[1]),s=.5*!
(e[2]+i[2]);this.m2=[.5*(i[0]+a[0]),.5*(i[1]+a[1]),.5*(i[2]+a[2])],this.m3=[.5*(this.m0[0]+r),.5*(this.m0[1]+n),.5*(this.m0[2]+s)],this.m4=[.5*(r+this.m2[0]),.5*(n+this.m2[1]),.5*(s+this.m2[2])],this.m5=[.5*(this.m3[0]+this.m4[0]),.5*(this.m3[1]+this.m4[1]),.5*(this.m3[2]+this.m4[2])]}}function unit(t){let e=1/(Math.sqrt(t[0]*t[0]+t[1]*t[1]+t[2]*t[2])||1);return[t[0]*e,t[1]*e,t[2]*e]}function abs2(t){return t[0]*t[0]+t[1]*t[1]+t[2]*t[2]}function dot(t,e){return t[0]*e[0]+t[1]*e[1]+t[2]*e[2]}function cross(t,e){return[t[1]*e[2]-t[2]*e[1],t[2]*e[0]-t[0]*e[2],t[0]*e[1]-t[1]*e[0]]}function bezierP(t,e){return[e[0]-t[0],e[1]-t[1],e[2]-t[2]]}function bezierPP(t,e,i){return[3*(t[0]+i[0])-6*e[0],3*(t[1]+i[1])-6*e[1],3*(t[2]+i[2])-6*e[2]]}function bezierPPP(t,e,i,a){return[a[0]-t[0]+3*(e[0]-i[0]),a[1]-t[1]+3*(e[1]-i[1]),a[2]-t[2]+3*(e[2]-i[2])]}function bezierPh(t,e,i,a){return[i[0]+a[0]-t[0]-e[0],i[1]+a[1]-t[1]-e[1],i[2]+a[2]-t[2]-e[2]]}function bezierPPh(t,e,i,a){return[3*t[0]-5*e[0]+i[0]+a[0],3*t[1]-5*e[1]+i[1]+a[1],3*t[2]-5*e[2]+i[2]+a[2]]}function Straightness(t,e,i,a){let r=[third*(a[0]-t[0]),third*(a[1]-t[1]),third*(a[2]-t[2])];return Math.max(abs2([e[0]-r[0]-t[0],e[1]-r[1]-t[1],e[2]-r[2]-t[2]]),abs2([a[0]-r[0]-i[0],a[1]-r[1]-i[1],a[2]-r[2]-i[2]]))}function Flatness(t,e,i,a){let r=[e[0]-t[0],e[1]-t[1],e[2]-t[2]],n=[a[0]-i[0],a[1]-i[1],a[2]-i[2]];return Math.max(abs2(cross(r,unit(n))),abs2(cross(n,unit(r))))/9}function corners(t,e){return[t,[t[0],t[1],e[2]],[t[0],e[1],t[2]],[t[0],e[1],e[2]],[e[0],t[1],t[2]],[e[0],t[1],e[2]],[e[0],e[1],t[2]],e]}function minbound(t){return[Math.min(t[0][0],t[1][0],t[2][0],t[3][0],t[4][0],t[5][0],t[6][0],t[7][0]),Math.min(t[0][1],t[1][1],t[2][1],t[3][1],t[4][1],t[5][1],t[6][1],t[7][1]),Math.min(t[0][2],t[1][2],t[2][2],t[3][2],t[4][2],t[5][2],t[6][2],t[7][2])]}function maxbound(t){return[Math.max(t[0][0],t[1][0],t[2][0],t[3][0],t[4][0],t[5][0],t[6][0],t[7][0]),Math.max(t[0][1],t[1][1],t[2][1],t[3][1],t[4][1],t[5][1],t[6][1],t[7][1]),Math.max(t[0][2],t[1][2],t[2][2],t[3][2],t[4][2],t[5]!
[2],t[6][2],t[7][2])]}function COBTarget(t,e){mat4.fromTranslation(T,[center.x,center.y,center.z]),mat4.invert(cjMatInv,T),mat4.multiply(t,e,cjMatInv),mat4.multiply(t,T,t)}function setUniforms(t,e){let i=e==pixelShader;gl.useProgram(e),gl.enableVertexAttribArray(positionAttribute),i&&gl.enableVertexAttribArray(widthAttribute);let a=!i&&Lights.length>0;if(a&&gl.enableVertexAttribArray(normalAttribute),gl.enableVertexAttribArray(materialAttribute),e.projViewMatUniform=gl.getUniformLocation(e,"projViewMat"),e.viewMatUniform=gl.getUniformLocation(e,"viewMat"),e.normMatUniform=gl.getUniformLocation(e,"normMat"),e!=colorShader&&e!=transparentShader||gl.enableVertexAttribArray(colorAttribute),a)for(let t=0;t<Lights.length;++t)Lights[t].setUniform(e,t);for(let i=0;i<t.materials.length;++i)t.materials[i].setUniform(e,i);gl.uniformMatrix4fv(e.projViewMatUniform,!1,projViewMat),gl.uniformMatrix4fv(e.viewMatUniform,!1,viewMat),gl.uniformMatrix3fv(e.normMatUniform,!1,normMat)}function handleMouseDown(t){zoomEnabled||enableZoom(),mouseDownOrTouchActive=!0,lastMouseX=t.clientX,lastMouseY=t.clientY}let pinchStart,touchStartTime,pinch=!1;function pinchDistance(t){return Math.hypot(t[0].pageX-t[1].pageX,t[0].pageY-t[1].pageY)}function handleTouchStart(t){t.preventDefault(),zoomEnabled||enableZoom();let e=t.targetTouches;swipe=rotate=pinch=!1,zooming||(1!=e.length||mouseDownOrTouchActive||(touchStartTime=(new Date).getTime(),touchId=e[0].identifier,lastMouseX=e[0].pageX,lastMouseY=e[0].pageY),2!=e.length||mouseDownOrTouchActive||(touchId=e[0].identifier,pinchStart=pinchDistance(e),pinch=!0))}function handleMouseUpOrTouchEnd(t){mouseDownOrTouchActive=!1}function rotateScene(t,e,i,a,r){if(t==i&&e==a)return;let[n,s]=arcball([t,-e],[i,-a]);mat4.fromRotation(T,2*r*ArcballFactor*n/lastzoom,s),mat4.multiply(rotMat,T,rotMat)}function shiftScene(t,e,i,a){let r=1/lastzoom;shift.x+=(i-t)*r*halfCanvasWidth,shift.y-=(a-e)*r*halfCanvasHeight}function panScene(t,e,i,a){orthographic?shiftScene(t,e,i,a):(center.x+=(i-t)*(viewParam.xmax-viewParam.x!
min),center.y-=(a-e)*(viewParam.ymax-viewParam.ymin))}function updateViewMatrix(){COBTarget(viewMat,rotMat),mat4.translate(viewMat,viewMat,[center.x,center.y,0]),mat3.fromMat4(viewMat3,viewMat),mat3.invert(normMat,viewMat3),mat4.multiply(projViewMat,projMat,viewMat)}function capzoom(){let t=Math.sqrt(Number.MAX_VALUE),e=1/t;Zoom<=e&&(Zoom=e),Zoom>=t&&(Zoom=t),Zoom!=lastzoom&&(remesh=!0),lastzoom=Zoom}function zoomImage(t){let e=zoomStep*halfCanvasHeight*t;const i=Math.log(.1*Number.MAX_VALUE)/Math.log(zoomFactor);Math.abs(e)<i&&(Zoom*=zoomFactor**e,capzoom())}function normMouse(t){let e=t[0],i=t[1],a=Math.hypot(e,i);return a>1&&(denom=1/a,e*=denom,i*=denom),[e,i,Math.sqrt(Math.max(1-i*i-e*e,0))]}function arcball(t,e){let i=normMouse(t),a=normMouse(e),r=dot(i,a);return r>1?r=1:r<-1&&(r=-1),[Math.acos(r),unit(cross(i,a))]}function zoomScene(t,e,i,a){zoomImage(e-a)}const DRAGMODE_ROTATE=1,DRAGMODE_SHIFT=2,DRAGMODE_ZOOM=3,DRAGMODE_PAN=4;function processDrag(t,e,i,a=1){let r;switch(i){case DRAGMODE_ROTATE:r=rotateScene;break;case DRAGMODE_SHIFT:r=shiftScene;break;case DRAGMODE_ZOOM:r=zoomScene;break;case DRAGMODE_PAN:r=panScene;break;default:r=((t,e,i,a)=>{})}r((lastMouseX-halfCanvasWidth)/halfCanvasWidth,(lastMouseY-halfCanvasHeight)/halfCanvasHeight,(t-halfCanvasWidth)/halfCanvasWidth,(e-halfCanvasHeight)/halfCanvasHeight,a),lastMouseX=t,lastMouseY=e,setProjection(),draw()}let zoomEnabled=0;function enableZoom(){zoomEnabled=1,canvas.addEventListener("wheel",handleMouseWheel,!1)}function disableZoom(){zoomEnabled=0,canvas.removeEventListener("wheel",handleMouseWheel,!1)}function handleKey(t){if(zoomEnabled||enableZoom(),embedded&&zoomEnabled&&27==t.keyCode)return void disableZoom();let e=[];switch(t.key){case"x":e=[1,0,0];break;case"y":e=[0,1,0];break;case"z":e=[0,0,1];break;case"h":home();break;case"m":3==++wireframe&&(wireframe=0),2!=wireframe&&(embedded||deleteShaders(),initShaders()),remesh=!0,draw();break;case"+":case"=":case">":expand();break;case"-":case"_":case"<":shrink()}e.length>0&&(mat4.rotate(rotMat,rot!
Mat,.1,e),updateViewMatrix(),draw())}function handleMouseWheel(t){t.preventDefault(),t.deltaY<0?Zoom*=zoomFactor:Zoom/=zoomFactor,capzoom(),setProjection(),draw()}function handleMouseMove(t){if(!mouseDownOrTouchActive)return;let e;processDrag(t.clientX,t.clientY,e=t.getModifierState("Control")?DRAGMODE_SHIFT:t.getModifierState("Shift")?DRAGMODE_ZOOM:t.getModifierState("Alt")?DRAGMODE_PAN:DRAGMODE_ROTATE)}let zooming=!1,swipe=!1,rotate=!1;function handleTouchMove(t){if(t.preventDefault(),zooming)return;let e=t.targetTouches;if(!pinch&&1==e.length&&touchId==e[0].identifier){let t=e[0].pageX,i=e[0].pageY,a=t-lastMouseX,r=i-lastMouseY,n=a*a+r*r<=shiftHoldDistance*shiftHoldDistance;if(n&&!swipe&&!rotate&&(new Date).getTime()-touchStartTime>shiftWaitTime&&(navigator.vibrate&&window.navigator.vibrate(vibrateTime),swipe=!0),swipe)processDrag(t,i,DRAGMODE_SHIFT);else if(!n){rotate=!0,processDrag(e[0].pageX,e[0].pageY,DRAGMODE_ROTATE,.5)}}if(pinch&&!swipe&&2==e.length&&touchId==e[0].identifier){let t=pinchDistance(e),i=t-pinchStart;zooming=!0,(i*=zoomPinchFactor)>zoomPinchCap&&(i=zoomPinchCap),i<-zoomPinchCap&&(i=-zoomPinchCap),zoomImage(i/size2),pinchStart=t,swipe=rotate=zooming=!1,setProjection(),draw()}}let pixelShader,materialShader,colorShader,transparentShader,zbuffer=[];function transformVertices(t){let e=viewMat[2],i=viewMat[6],a=viewMat[10];zbuffer.length=t.length;for(let r=0;r<t.length;++r){let n=6*r;zbuffer[r]=e*t[n]+i*t[n+1]+a*t[n+2]}}function drawMaterial0(){drawBuffer(material0Data,pixelShader),material0Data.clear()}function drawMaterial1(){drawBuffer(material1Data,materialShader),material1Data.clear()}function drawMaterial(){drawBuffer(materialData,materialShader),materialData.clear()}function drawColor(){drawBuffer(colorData,colorShader),colorData.clear()}function drawTriangle(){drawBuffer(triangleData,transparentShader),triangleData.clear()}function drawTransparent(){let t=transparentData.indices;if(wireframe>0)return drawBuffer(transparentData,transparentShader,t),void transparentData.clear();if(t.length!
>0){transformVertices(transparentData.vertices);let e=t.length/3,i=Array(e).fill().map((t,e)=>e);i.sort(function(e,i){let a=3*e;Ia=t[a],Ib=t[a+1],Ic=t[a+2];let r=3*i;return IA=t[r],IB=t[r+1],IC=t[r+2],zbuffer[Ia]+zbuffer[Ib]+zbuffer[Ic]<zbuffer[IA]+zbuffer[IB]+zbuffer[IC]?-1:1});let a=Array(t.length);for(let r=0;r<e;++r){let e=3*i[r];a[3*r]=t[e],a[3*r+1]=t[e+1],a[3*r+2]=t[e+2]}gl.depthMask(!1),drawBuffer(transparentData,transparentShader,a),gl.depthMask(!0)}transparentData.clear()}function drawBuffers(){drawMaterial0(),drawMaterial1(),drawMaterial(),drawColor(),drawTriangle(),drawTransparent()}function draw(){embedded&&(offscreen.width=canvas.width,offscreen.height=canvas.height,setViewport()),gl.clearColor(Background[0],Background[1],Background[2],Background[3]),gl.clear(gl.COLOR_BUFFER_BIT|gl.DEPTH_BUFFER_BIT);for(let t=0;t<P.length;++t)P[t].render();drawBuffers(),embedded&&(context.clearRect(0,0,canvas.width,canvas.height),context.drawImage(offscreen,0,0)),0==wireframe&&(remesh=!1)}function setDimensions(t,e,i,a){let r=t/e,n=1/lastzoom,s=(i/t+viewportshift[0])*lastzoom,o=(a/e+viewportshift[1])*lastzoom;if(orthographic){let t=B[0]-b[0],e=B[1]-b[1];if(t<e*r){let t=.5*e*r*n,i=2*t*s,a=e*n*o;viewParam.xmin=-t-i,viewParam.xmax=t-i,viewParam.ymin=b[1]*n-a,viewParam.ymax=B[1]*n-a}else{let e=.5*t/(r*Zoom),i=t*n*s,a=2*e*o;viewParam.xmin=b[0]*n-i,viewParam.xmax=B[0]*n-i,viewParam.ymin=-e-a,viewParam.ymax=e-a}}else{let t=H*n,e=t*r,i=2*e*s,a=2*t*o;viewParam.xmin=-e-i,viewParam.xmax=e-i,viewParam.ymin=-t-a,viewParam.ymax=t-a}}function setProjection(){setDimensions(canvasWidth,canvasHeight,shift.x,shift.y),(orthographic?mat4.ortho:mat4.frustum)(projMat,viewParam.xmin,viewParam.xmax,viewParam.ymin,viewParam.ymax,-viewParam.zmax,-viewParam.zmin),updateViewMatrix()}function initProjection(){H=-Math.tan(.5*angle)*B[2],center.x=center.y=0,center.z=.5*(b[2]+B[2]),lastzoom=Zoom=Zoom0,viewParam.zmin=b[2],viewParam.zmax=B[2],shift.x=shift.y=0}function setViewport(){gl.viewportWidth=canvasWidth,gl.viewportHeight=canvasHeight,gl.viewp!
ort(0,0,gl.viewportWidth,gl.viewportHeight),gl.scissor(0,0,gl.viewportWidth,gl.viewportHeight)}function setCanvas(){canvas.width=canvasWidth,canvas.height=canvasHeight,embedded&&(offscreen.width=canvasWidth,offscreen.height=canvasHeight),size2=Math.hypot(canvasWidth,canvasHeight),halfCanvasWidth=.5*canvasWidth,halfCanvasHeight=.5*canvasHeight}function setsize(t,e){t>maxViewportWidth&&(t=maxViewportWidth),e>maxViewportHeight&&(e=maxViewportHeight),shift.x*=t/canvasWidth,shift.y*=e/canvasHeight,canvasWidth=t,canvasHeight=e,setCanvas(),setViewport(),home()}function expand(){setsize(canvasWidth*resizeStep+.5,canvasHeight*resizeStep+.5)}function shrink(){setsize(Math.max(canvasWidth/resizeStep+.5,1),Math.max(canvasHeight/resizeStep+.5,1))}function webGLInit(){if(canvas=document.getElementById("Asymptote"),embedded=window.top.document!=document,initGL(),absolute&&!embedded)canvasWidth*=window.devicePixelRatio,canvasHeight*=window.devicePixelRatio;else{canvas.width=Math.max(window.innerWidth-windowTrim,windowTrim),canvas.height=Math.max(window.innerHeight-windowTrim,windowTrim);let t=canvasWidth/canvasHeight;canvas.width>canvas.height*t?canvas.width=Math.min(canvas.height*t,canvas.width):canvas.height=Math.min(canvas.width/t,canvas.height),canvas.width>0&&(canvasWidth=canvas.width),canvas.height>0&&(canvasHeight=canvas.height)}setCanvas(),ArcballFactor=1+8*Math.hypot(viewportmargin[0],viewportmargin[1])/size2,viewportshift[0]/=Zoom0,viewportshift[1]/=Zoom0,gl.enable(gl.BLEND),gl.blendFunc(gl.SRC_ALPHA,gl.ONE_MINUS_SRC_ALPHA),gl.enable(gl.DEPTH_TEST),gl.enable(gl.SCISSOR_TEST),setViewport(),home(),canvas.onmousedown=handleMouseDown,document.onmouseup=handleMouseUpOrTouchEnd,document.onmousemove=handleMouseMove,canvas.onkeydown=handleKey,embedded||enableZoom(),canvas.addEventListener("touchstart",handleTouchStart,!1),canvas.addEventListener("touchend",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchcancel",handleMouseUpOrTouchEnd,!1),canvas.addEventListener("touchleave",handleMouseUpOrTouchEnd,!1),canvas.addEve!
ntListener("touchmove",handleTouchMove,!1),document.addEventListener("keydown",handleKey,!1)}let listen=!1;class Align{constructor(t,e){if(this.center=t,e){let t=e[0],i=e[1];this.ct=Math.cos(t),this.st=Math.sin(t),this.cp=Math.cos(i),this.sp=Math.sin(i)}}T0(t){return[t[0]+this.center[0],t[1]+this.center[1],t[2]+this.center[2]]}T(t){let e=t[0],i=t[1],a=t[2],r=e*this.ct+a*this.st;return[r*this.cp-i*this.sp+this.center[0],r*this.sp+i*this.cp+this.center[1],-e*this.st+a*this.ct+this.center[2]]}}function Tcorners(t,e,i){let a=[t(e),t([e[0],e[1],i[2]]),t([e[0],i[1],e[2]]),t([e[0],i[1],i[2]]),t([i[0],e[1],e[2]]),t([i[0],e[1],i[2]]),t([i[0],i[1],e[2]]),t(i)];return[minbound(a),maxbound(a)]}function sphere(t,e,i,r,n){let s,o,h,l,d,c,m=.524670512339254,f=.595936986722291,u=.954967051233925,p=.0820155480083437,v=.996685028842544,g=.0549670512339254,w=.998880711874577,x=.0405017186586849,M=[[[1,0,0],[1,0,m],[f,0,u],[p,0,v],[1,a,0],[1,a,m],[f,a*f,u],[p,a*p,v],[a,1,0],[a,1,m],[a*f,f,u],[a*p,p,v],[0,1,0],[0,1,m],[0,f,u],[0,p,v]],[[p,0,v],[p,a*p,v],[g,0,w],[a*p,p,v],[x,x,1],[.05*a,0,1],[0,p,v],[0,g,w],[0,.05*a,1],[0,0,1]]],b=new Align(t,n);function A(t){let e=Array(t.length);for(let i=0;i<t.length;++i){let a=t[i];e[i]=d([s*a[0],o*a[1],h*a[2]])}return e}n?(l=1,c=0,d=b.T.bind(b)):(l=-1,c=-e,d=b.T0.bind(b));let S=Tcorners(d,[-e,-e,c],[e,e,e]),R=S[0],T=S[1];for(let t=-1;t<=1;t+=2){s=t*e;for(let t=-1;t<=1;t+=2){o=t*e;for(let t=l;t<=1;t+=2){h=t*e;for(let t=0;t<2;++t)P.push(new BezierPatch(A(M[t]),i,r,R,T))}}}}let a=4/3*(Math.sqrt(2)-1);function disk(t,e,i,r,n){let s=1-2*a/3,o=[[1,0,0],[1,-a,0],[a,-1,0],[0,-1,0],[1,a,0],[s,0,0],[0,-s,0],[-a,-1,0],[a,1,0],[0,s,0],[-s,0,0],[-1,-a,0],[0,1,0],[-a,1,0],[-1,a,0],[-1,0,0]],h=new Align(t,n);let l=Tcorners(h.T.bind(h),[-e,-e,0],[e,e,0]);P.push(new BezierPatch(function(t){let i=Array(t.length);for(let a=0;a<t.length;++a){let r=t[a];i[a]=h.T([e*r[0],e*r[1],0])}return i}(o),i,r,l[0],l[1]))}function cylinder(t,e,i,r,n,s,o){let h,l,d=[[1,0,0],[1,0,1/3],[1,0,2/3],[1,0,1],[1,a,0],[1,a,1/3],[1,a,2/3],!
[1,a,1],[a,1,0],[a,1,1/3],[a,1,2/3],[a,1,1],[0,1,0],[0,1,1/3],[0,1,2/3],[0,1,1]],c=new Align(t,s);function m(t){let e=Array(t.length);for(let a=0;a<t.length;++a){let r=t[a];e[a]=c.T([h*r[0],l*r[1],i*r[2]])}return e}let f=Tcorners(c.T.bind(c),[-e,-e,0],[e,e,i]),u=f[0],p=f[1];for(let t=-1;t<=1;t+=2){h=t*e;for(let t=-1;t<=1;t+=2)l=t*e,P.push(new BezierPatch(m(d),r,n,u,p))}if(o){let e=c.T([0,0,i]);P.push(new BezierCurve([t,e],r,n,t,e))}}function rmf(t,e,i,a,r){class n{constructor(t,e,i){this.p=t,this.r=e,this.t=i,this.s=cross(i,e)}}let s=Number.EPSILON*Math.max(abs2(t),abs2(e),abs2(i),abs2(a));function o(r){if(1==r){let r=[a[0]-i[0],a[1]-i[1],a[2]-i[2]];return abs2(r)>s?unit(r):abs2(r=[2*i[0]-e[0]-a[0],2*i[1]-e[1]-a[1],2*i[2]-e[2]-a[2]])>s?unit(r):[a[0]-t[0]+3*(e[0]-i[0]),a[1]-t[1]+3*(e[1]-i[1]),a[2]-t[2]+3*(e[2]-i[2])]}let n=[a[0]-t[0]+3*(e[0]-i[0]),a[1]-t[1]+3*(e[1]-i[1]),a[2]-t[2]+3*(e[2]-i[2])],o=[2*(t[0]+i[0])-4*e[0],2*(t[1]+i[1])-4*e[1],2*(t[2]+i[2])-4*e[2]],h=[e[0]-t[0],e[1]-t[1],e[2]-t[2]],l=r*r,d=[n[0]*l+o[0]*r+h[0],n[1]*l+o[1]*r+h[1],n[2]*l+o[2]*r+h[2]];return abs2(d)>s?unit(d):abs2(d=[n[0]*(l=2*r)+o[0],n[1]*l+o[1],n[2]*l+o[2]])>s?unit(d):unit(n)}let h=Array(r.length),l=[e[0]-t[0],e[1]-t[1],e[2]-t[2]];abs2(l)<s&&abs2(l=[t[0]-2*e[0]+i[0],t[1]-2*e[1]+i[1],t[2]-2*e[2]+i[2]])<s&&(l=[a[0]-t[0]+3*(e[0]-i[0]),a[1]-t[1]+3*(e[1]-i[1]),a[2]-t[2]+3*(e[2]-i[2])]);let d=function(t){let e=cross(t,[0,1,0]),i=Number.EPSILON*abs2(t);return abs2(e)>i?unit(e):abs2(e=cross(t,[0,0,1]))>i?unit(e):[1,0,0]}(l=unit(l));h[0]=new n(t,d,l);for(let s=1;s<r.length;++s){let l=h[s-1],d=r[s],c=1-d,m=c*c,f=m*c,u=3*d;m*=u,c*=u*d;let p=d*d*d,v=[f*t[0]+m*e[0]+c*i[0]+p*a[0],f*t[1]+m*e[1]+c*i[1]+p*a[1],f*t[2]+m*e[2]+c*i[2]+p*a[2]],g=[v[0]-l.p[0],v[1]-l.p[1],v[2]-l.p[2]];if(0!=g[0]||0!=g[1]||0!=g[2]){let t=l.r,e=unit(g),i=l.t,a=dot(e,i),r=[i[0]-2*a*e[0],i[1]-2*a*e[1],i[2]-2*a*e[2]];i=o(d);let c=2*dot(e,t),m=[t[0]-c*e[0],t[1]-c*e[1],t[2]-c*e[2]],f=unit([i[0]-r[0],i[1]-r[1],i[2]-r[2]]),u=2*dot(f,m);m=[m[0]-u*f[0],m[1]-u*f[1],m[2]-u*f[2]],h[s]=new !
n(v,unit(m),unit(i))}else h[s]=h[s-1]}return h}function tube(t,e,i,r,n,s,o){let h=rmf(t[0],t[1],t[2],t[3],[0,1/3,2/3,1]),l=a*e,d=[[e,0],[e,l],[l,e],[0,e]];function c(e,a,o,l){let c=Array(16);for(let i=0;i<4;++i){let r=h[i],n=r.r[0],s=r.s[0],m=n*e+s*a,f=n*o+s*l,u=(n=r.r[1])*e+(s=r.s[1])*a,p=n*o+s*l,v=(n=r.r[2])*e+(s=r.s[2])*a,g=n*o+s*l,w=t[i],x=w[0];w1=w[1],w2=w[2];for(let t=0;t<4;++t){let e=d[t],a=e[0],r=e[1];c[4*i+t]=[m*a+f*r+x,u*a+p*r+w1,v*a+g*r+w2]}}P.push(new BezierPatch(c,i,r,n,s))}c(1,0,0,1),c(0,-1,1,0),c(-1,0,0,-1),c(0,1,-1,0),o&&P.push(new BezierCurve(t,i,r,n,s))}function webGLStart(){0==window.innerWidth||0==window.innerHeight?listen||(listen=!0,window.addEventListener("resize",webGLStart,!1)):(listen&&(window.removeEventListener("resize",webGLStart,!1),listen=!1),webGLInit())}
Modified: trunk/Build/source/utils/asymptote/configure
===================================================================
--- trunk/Build/source/utils/asymptote/configure 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/configure 2020-03-26 21:33:06 UTC (rev 54566)
@@ -1,6 +1,6 @@
#! /bin/sh
# Guess values for system-dependent variables and create Makefiles.
-# Generated by GNU Autoconf 2.69 for Asymptote 2.64.
+# Generated by GNU Autoconf 2.69 for Asymptote 2.65.
#
# Report bugs to <http://sourceforge.net/projects/asymptote>.
#
@@ -580,8 +580,8 @@
# Identity of this package.
PACKAGE_NAME='Asymptote'
PACKAGE_TARNAME='asymptote'
-PACKAGE_VERSION='2.64'
-PACKAGE_STRING='Asymptote 2.64'
+PACKAGE_VERSION='2.65'
+PACKAGE_STRING='Asymptote 2.65'
PACKAGE_BUGREPORT='http://sourceforge.net/projects/asymptote'
PACKAGE_URL=''
@@ -1287,7 +1287,7 @@
# 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 2.64 to adapt to many kinds of systems.
+\`configure' configures Asymptote 2.65 to adapt to many kinds of systems.
Usage: $0 [OPTION]... [VAR=VALUE]...
@@ -1352,7 +1352,7 @@
if test -n "$ac_init_help"; then
case $ac_init_help in
- short | recursive ) echo "Configuration of Asymptote 2.64:";;
+ short | recursive ) echo "Configuration of Asymptote 2.65:";;
esac
cat <<\_ACEOF
@@ -1469,7 +1469,7 @@
test -n "$ac_init_help" && exit $ac_status
if $ac_init_version; then
cat <<\_ACEOF
-Asymptote configure 2.64
+Asymptote configure 2.65
generated by GNU Autoconf 2.69
Copyright (C) 2012 Free Software Foundation, Inc.
@@ -2055,7 +2055,7 @@
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 2.64, which was
+It was created by Asymptote $as_me 2.65, which was
generated by GNU Autoconf 2.69. Invocation command line was
$ $0 $@
@@ -9267,7 +9267,7 @@
# 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 2.64, which was
+This file was extended by Asymptote $as_me 2.65, which was
generated by GNU Autoconf 2.69. Invocation command line was
CONFIG_FILES = $CONFIG_FILES
@@ -9329,7 +9329,7 @@
cat >>$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 2.64
+Asymptote config.status 2.65
configured by $0, generated by GNU Autoconf 2.69,
with options \\"\$ac_cs_config\\"
Modified: trunk/Build/source/utils/asymptote/configure.ac
===================================================================
--- trunk/Build/source/utils/asymptote/configure.ac 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/configure.ac 2020-03-26 21:33:06 UTC (rev 54566)
@@ -3,7 +3,7 @@
# this file.
AC_PREREQ(2)
-AC_INIT([Asymptote],[2.64],[http://sourceforge.net/projects/asymptote])
+AC_INIT([Asymptote],[2.65],[http://sourceforge.net/projects/asymptote])
VERSION=$PACKAGE_VERSION
AC_SUBST(VERSION)
m4_include([ax_pthread.m4])
Modified: trunk/Build/source/utils/asymptote/doc/CAD.pdf
===================================================================
(Binary files differ)
Modified: trunk/Build/source/utils/asymptote/doc/FAQ/asy-faq.info
===================================================================
--- trunk/Build/source/utils/asymptote/doc/FAQ/asy-faq.info 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/doc/FAQ/asy-faq.info 2020-03-26 21:33:06 UTC (rev 54566)
@@ -10,7 +10,7 @@
File: asy-faq.info, Node: Top, Next: Question 1.1, Up: (dir)
ASYMPTOTE FREQUENTLY ASKED QUESTIONS
- 03 Mar 2020
+ 25 Mar 2020
This is the list of Frequently Asked Questions about Asymptote (asy).
Modified: trunk/Build/source/utils/asymptote/doc/TeXShopAndAsymptote.pdf
===================================================================
(Binary files differ)
Modified: trunk/Build/source/utils/asymptote/doc/asy-latex.pdf
===================================================================
(Binary files differ)
Modified: trunk/Build/source/utils/asymptote/doc/asyRefCard.pdf
===================================================================
(Binary files differ)
Modified: trunk/Build/source/utils/asymptote/doc/asymptote.pdf
===================================================================
(Binary files differ)
Modified: trunk/Build/source/utils/asymptote/doc/png/asymptote.info
===================================================================
--- trunk/Build/source/utils/asymptote/doc/png/asymptote.info 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/doc/png/asymptote.info 2020-03-26 21:33:06 UTC (rev 54566)
@@ -1,7 +1,7 @@
This is asymptote.info, produced by makeinfo version 6.6 from
asymptote.texi.
-This file documents 'Asymptote', version 2.64.
+This file documents 'Asymptote', version 2.65.
<https://asymptote.sourceforge.io>
@@ -22,7 +22,7 @@
Asymptote
*********
-This file documents 'Asymptote', version 2.64.
+This file documents 'Asymptote', version 2.65.
<https://asymptote.sourceforge.io>
Modified: trunk/Build/source/utils/asymptote/drawpath3.cc
===================================================================
--- trunk/Build/source/utils/asymptote/drawpath3.cc 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/drawpath3.cc 2020-03-26 21:33:06 UTC (rev 54566)
@@ -87,7 +87,9 @@
setMaterial(material1Data,drawMaterial1);
bool offscreen;
- if(billboard) {
+ if(gl::exporting)
+ offscreen=false;
+ else if(billboard) {
drawElement::centerIndex=centerIndex;
BB.init(center);
offscreen=bbox2(Min,Max,BB).offscreen();
@@ -263,7 +265,7 @@
setMaterial(material0Data,drawMaterial0);
- if(bbox2(Min,Max).offscreen()) { // Fully offscreen
+ if(!gl::exporting && bbox2(Min,Max).offscreen()) { // Fully offscreen
R.data.clear();
return;
}
Modified: trunk/Build/source/utils/asymptote/drawsurface.cc
===================================================================
--- trunk/Build/source/utils/asymptote/drawsurface.cc 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/drawsurface.cc 2020-03-26 21:33:06 UTC (rev 54566)
@@ -262,13 +262,15 @@
}
bool offscreen;
- if(billboard) {
+ if(gl::exporting)
+ offscreen=false;
+ else if(billboard) {
drawElement::centerIndex=centerIndex;
BB.init(center);
offscreen=bbox2(Min,Max,BB).offscreen();
} else
offscreen=bbox2(Min,Max).offscreen();
-
+
if(offscreen) { // Fully offscreen
S.Onscreen=false;
S.data.clear();
@@ -503,7 +505,9 @@
}
bool offscreen;
- if(billboard) {
+ if(gl::exporting)
+ offscreen=false;
+ else if(billboard) {
drawElement::centerIndex=centerIndex;
BB.init(center);
offscreen=bbox2(Min,Max,BB).offscreen();
@@ -970,7 +974,7 @@
transparent=diffuse.A < 1.0;
- if(bbox2(Min,Max).offscreen()) { // Fully offscreen
+ if(!gl::exporting && bbox2(Min,Max).offscreen()) { // Fully offscreen
R.Onscreen=false;
R.data.clear();
return;
Modified: trunk/Build/source/utils/asymptote/glrender.cc
===================================================================
--- trunk/Build/source/utils/asymptote/glrender.cc 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/glrender.cc 2020-03-26 21:33:06 UTC (rev 54566)
@@ -108,6 +108,7 @@
bool outlinemode=false;
bool glthread=false;
bool initialize=true;
+bool exporting=false;
using camp::picture;
using camp::drawRawImage;
@@ -560,13 +561,17 @@
(orthographic ? trOrtho : trFrustum)(tr,xmin,xmax,ymin,ymax,-zmax,-zmin);
size_t count=0;
+ exporting=true;
do {
trBeginTile(tr);
drawscene(fullWidth,fullHeight);
++count;
} while (trEndTile(tr));
+ exporting=false;
+
if(settings::verbose > 1)
- cout << count << " tile" << (count != 1 ? "s" : "") << " drawn" << endl;
+ cout << count << " tile" << (count != 1 ? "s" : "") << " drawn"
+ << endl;
trDelete(tr);
picture pic;
Modified: trunk/Build/source/utils/asymptote/glrender.h
===================================================================
--- trunk/Build/source/utils/asymptote/glrender.h 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/glrender.h 2020-03-26 21:33:06 UTC (rev 54566)
@@ -109,6 +109,7 @@
extern bool outlinemode;
extern bool wireframeMode;
+extern bool exporting;
extern bool orthographic;
extern double xmin,xmax;
Modified: trunk/Build/source/utils/asymptote/picture.cc
===================================================================
--- trunk/Build/source/utils/asymptote/picture.cc 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/picture.cc 2020-03-26 21:33:06 UTC (rev 54566)
@@ -277,10 +277,12 @@
if(havelabels()) texinit();
nodelist::iterator p=nodes.begin();
+ processDataStruct& pd=processData();
+
for(size_t i=0; i < lastnumber; ++i) ++p;
for(; p != nodes.end(); ++p) {
assert(*p);
- (*p)->bounds(b_cached,processData().tex,labelbounds,bboxstack);
+ (*p)->bounds(b_cached,pd.tex,labelbounds,bboxstack);
// Optimization for interpreters with fixed stack limits.
if((*p)->endclip()) {
@@ -369,11 +371,13 @@
mem::vector<string> cmd;
cmd.push_back(texprogram());
+ string texfatal;
if(context) {
cmd.push_back("--pipe");
} else {
if(!dir.empty())
cmd.push_back("-output-directory="+dir.substr(0,dir.length()-1));
+ string jobname="texput";
if(getSetting<bool>("inlineimage") || getSetting<bool>("inlinetex")) {
string name=stripDir(stripExt((outname())));
size_t pos=name.rfind("-");
@@ -380,7 +384,8 @@
if(pos < string::npos) {
name=stripExt(name).substr(0,pos);
unlink((name+".aux").c_str());
- cmd.push_back("-jobname="+name.substr(0,pos));
+ jobname=name.substr(0,pos);
+ cmd.push_back("-jobname="+jobname);
#ifdef __MSDOS__
cmd.push_back("NUL"); // For MikTeX
#endif
@@ -387,9 +392,10 @@
}
}
cmd.push_back("\\scrollmode");
+ texfatal="Transcript written on "+jobname+".log.\n";
}
- pd.tex.open(cmd,"texpath",texpathmessage());
+ pd.tex.open(cmd,"texpath",texpathmessage(),Strdup(texfatal));
pd.tex.wait("\n*");
pd.tex << "\n";
texdocumentclass(pd.tex,true);
@@ -1045,6 +1051,8 @@
for(nodelist::const_iterator r=begin.begin(); r != begin.end(); ++r)
(*r)->draw(&out);
+ processDataStruct &pd=processData();
+
for(; p != nodes.end(); ++p) {
assert(*p);
if(Labels && (*p)->islayer()) break;
@@ -1108,7 +1116,7 @@
static pair zero;
L=new drawLabel(cmd.str(),"",identity,pair(m.getx(),M.gety()),zero,P);
texinit();
- L->bounds(b_cached,processData().tex,labelbounds,bboxstack);
+ L->bounds(b_cached,pd.tex,labelbounds,bboxstack);
postscript=true;
}
break;
Modified: trunk/Build/source/utils/asymptote/pipestream.cc
===================================================================
--- trunk/Build/source/utils/asymptote/pipestream.cc 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/pipestream.cc 2020-03-26 21:33:06 UTC (rev 54566)
@@ -41,7 +41,8 @@
}
void iopipestream::open(const mem::vector<string> &command, const char *hint,
- const char *application, int out_fileno)
+ const char *application, const char *Fatal,
+ int out_fileno)
{
if(pipe(in) == -1) {
ostringstream buf;
@@ -86,9 +87,10 @@
close(out[1]);
close(in[0]);
*buffer=0;
+ Running=true;
pipeopen=true;
pipein=true;
- Running=true;
+ fatal=Fatal;
block(false,true);
}
@@ -182,11 +184,16 @@
{
sbuffer.clear();
size_t plen=strlen(prompt);
+ size_t flen=strlen(fatal);
do {
readbuffer();
sbuffer.append(buffer);
- } while(!tailequals(sbuffer.c_str(),sbuffer.size(),prompt,plen));
+
+ if(tailequals(sbuffer.c_str(),sbuffer.size(),prompt,plen)) break;
+ if(*fatal && tailequals(sbuffer.c_str(),sbuffer.size(),fatal,flen))
+ camp::reportError(sbuffer);
+ } while(true);
}
int iopipestream::wait()
Modified: trunk/Build/source/utils/asymptote/pipestream.h
===================================================================
--- trunk/Build/source/utils/asymptote/pipestream.h 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/pipestream.h 2020-03-26 21:33:06 UTC (rev 54566)
@@ -38,10 +38,12 @@
bool Running;
bool pipeopen;
bool pipein;
+ const char *fatal;
public:
void open(const mem::vector<string> &command, const char *hint=NULL,
- const char *application="", int out_fileno=STDOUT_FILENO);
+ const char *application="", const char *fatal="",
+ int out_fileno=STDOUT_FILENO);
bool isopen() {return pipeopen;}
@@ -48,9 +50,10 @@
iopipestream(): pid(0), pipeopen(false) {}
iopipestream(const mem::vector<string> &command, const char *hint=NULL,
- const char *application="", int out_fileno=STDOUT_FILENO) :
+ const char *application="", const char *fatal="",
+ int out_fileno=STDOUT_FILENO) :
pid(0), pipeopen(false) {
- open(command,hint,application,out_fileno);
+ open(command,hint,application,fatal,out_fileno);
}
void eof();
Modified: trunk/Build/source/utils/asymptote/revision.cc
===================================================================
--- trunk/Build/source/utils/asymptote/revision.cc 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/revision.cc 2020-03-26 21:33:06 UTC (rev 54566)
@@ -1,2 +1,2 @@
-const char *REVISION="2.64";
+const char *REVISION="2.65";
const char *AsyGLVersion="1.00";
Modified: trunk/Build/source/utils/asymptote/webgl/gl.js
===================================================================
--- trunk/Build/source/utils/asymptote/webgl/gl.js 2020-03-26 21:31:31 UTC (rev 54565)
+++ trunk/Build/source/utils/asymptote/webgl/gl.js 2020-03-26 21:33:06 UTC (rev 54566)
@@ -2732,36 +2732,45 @@
// (or optionally a hemisphere symmetric about direction dir)
function sphere(center,r,CenterIndex,MaterialIndex,dir)
{
+ let b=0.524670512339254;
+ let c=0.595936986722291;
+ let d=0.954967051233925;
+ let e=0.0820155480083437;
+ let f=0.996685028842544;
+ let g=0.0549670512339254;
+ let h=0.998880711874577;
+ let i=0.0405017186586849;
+
let octant=[[
[1,0,0],
- [1,0,0.370106805057161],
- [0.798938033457256,0,0.6932530716149],
- [0.500083269410627,0,0.866169630634358],
+ [1,0,b],
+ [c,0,d],
+ [e,0,f],
- [1,0.552284749830793,0],
- [1,0.552284749830793,0.370106805057161],
- [0.798938033457256,0.441241291938247,0.6932530716149],
- [0.500083269410627,0.276188363341013,0.866169630634358],
+ [1,a,0],
+ [1,a,b],
+ [c,a*c,d],
+ [e,a*e,f],
- [0.552284749830793,1,0],
- [0.552284749830793,1,0.370106805057161],
- [0.441241291938247,0.798938033457256,0.6932530716149],
- [0.276188363341013,0.500083269410627,0.866169630634358],
+ [a,1,0],
+ [a,1,b],
+ [a*c,c,d],
+ [a*e,e,f],
[0,1,0],
- [0,1,0.370106805057161],
- [0,0.798938033457256,0.6932530716149],
- [0,0.500083269410627,0.866169630634358]
+ [0,1,b],
+ [0,c,d],
+ [0,e,f]
],[
- [0.500083269410627,0,0.866169630634358],
- [0.500083269410627,0.276188363341013,0.866169630634358],
- [0.35297776917154,0,0.951284475617087],
- [0.276188363341013,0.500083269410627,0.866169630634358],
- [0.264153721902467,0.264153721902467,1],
- [0.182177944773632,0,1],
- [0,0.500083269410627,0.866169630634358],
- [0,0.35297776917154,0.951284475617087],
- [0,0.182177944773632,1],
+ [e,0,f],
+ [e,a*e,f],
+ [g,0,h],
+ [a*e,e,f],
+ [i,i,1],
+ [0.05*a,0,1],
+ [0,e,f],
+ [0,g,h],
+ [0,0.05*a,1],
[0,0,1]
]];
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