diff options
| author | Karl Berry <karl@freefriends.org> | 2013-04-07 18:26:53 +0000 |
|---|---|---|
| committer | Karl Berry <karl@freefriends.org> | 2013-04-07 18:26:53 +0000 |
| commit | b04c2e1a42573e9735547702356c7b9a769a6855 (patch) | |
| tree | c0753443f39500a062d7698fe6b94359c813f871 /Master/texmf-dist/doc/asymptote/examples | |
| parent | fb0bf13304a356f197bfc1add17f98c07e96f17b (diff) | |
texmf -> texmf-dist: doc
git-svn-id: svn://tug.org/texlive/trunk@29714 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/doc/asymptote/examples')
309 files changed, 15198 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/asymptote/examples/100d.views b/Master/texmf-dist/doc/asymptote/examples/100d.views new file mode 100644 index 00000000000..5e73cb0c8b9 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/100d.views @@ -0,0 +1,30 @@ +VIEW%={View A} + COO=0.000001944790710695088 -0.000000199754154551 -303.740966796875 + C2C=-0.43931567668914795 -0.011656288057565689 0.8982571363449097 + ROO=367.52660744556164 + ROLL=-75.86431813030065 + AAC=34.903342413559436 + BGCOLOR=1. 1. 1. + LIGHTS=Artwork + RENDERMODE=Solid +END +VIEW%={View B} + COO=-52.16141891479492 50.85958480834961 -249.23748779296875 + C2C=-0.0608830563724041 0.722907543182373 -0.6882571578025818 + ROO=117.10558117788756 + ROLL=105.68252665017765 + AAC=34.903342413559436 + BGCOLOR=1. 1. 1. + LIGHTS=Artwork + RENDERMODE=Solid +END +VIEW%={View C} + COO=2.2545230388641357 2.9914066791534424 -300.3456115722656 + C2C=0.8536049127578735 0.3032689690589905 -0.42354053258895874 + ROO=303.7410359852936 + ROLL=-126.08445879535664 + AAC=34.903342413559436 + BGCOLOR=1. 1. 1. + LIGHTS=Artwork + RENDERMODE=Solid +END diff --git a/Master/texmf-dist/doc/asymptote/examples/1overx.asy b/Master/texmf-dist/doc/asymptote/examples/1overx.asy new file mode 100644 index 00000000000..5d9775d44dc --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/1overx.asy @@ -0,0 +1,17 @@ +import graph; +size(200,IgnoreAspect); + +real f(real x) {return 1/x;}; + +bool3 branch(real x) +{ + static int lastsign=0; + if(x == 0) return false; + int sign=sgn(x); + bool b=lastsign == 0 || sign == lastsign; + lastsign=sign; + return b ? true : default; +} + +draw(graph(f,-1,1,branch)); +axes("$x$","$y$",red); diff --git a/Master/texmf-dist/doc/asymptote/examples/BezierPatch.asy b/Master/texmf-dist/doc/asymptote/examples/BezierPatch.asy new file mode 100644 index 00000000000..8d770e058ae --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/BezierPatch.asy @@ -0,0 +1,14 @@ +import three; + +size(10cm); +currentlight=Viewport; + +surface s=surface(patch(new triple[][] { + {(0,0,0),(1,0,0),(1,0,0),(2,0,0)}, + {(0,1,0),(1,0,1),(1,0,1),(2,1,0)}, + {(0,1,0),(1,0,-1),(1,0,-1),(2,1,0)}, + {(0,2,0),(1,2,0),(1,2,0),(2,2,0)}})); + +draw(s,yellow); +draw(s.s[0].vequals(0.5),squarecap+2bp+blue,currentlight); +draw(s.s[0].uequals(0.5),squarecap+2bp+red,currentlight); diff --git a/Master/texmf-dist/doc/asymptote/examples/BezierSurface.asy b/Master/texmf-dist/doc/asymptote/examples/BezierSurface.asy new file mode 100644 index 00000000000..f8cbc458ca0 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/BezierSurface.asy @@ -0,0 +1,43 @@ +import three; + +string viewpoint=" +COO=-684.0787963867188 206.90650939941406 218.13809204101562 +C2C=0.8244762420654297 -0.563306450843811 0.0540805421769619 +ROO=1009.7407942621448 +ROLL=17.39344555165265 +"; + +// viewpoint=getstring("viewpoint",viewpoint); +currentprojection=perspective(viewpoint); + +triple[][][] P={ + { + {(-1.6,0,1.875),(-2.3,0,1.875),(-2.7,0,1.875),(-2.7,0,1.65),}, + {(-1.6,-0.3,1.875),(-2.3,-0.3,1.875),(-2.7,-0.3,1.875),(-2.7,-0.3,1.65),}, + {(-1.5,-0.3,2.1),(-2.5,-0.3,2.1),(-3,-0.3,2.1),(-3,-0.3,1.65),}, + {(-1.5,0,2.1),(-2.5,0,2.1),(-3,0,2.1),(-3,0,1.65),} + },{ + {(-2.7,0,1.65),(-2.7,0,1.425),(-2.5,0,0.975),(-2,0,0.75),}, + {(-2.7,-0.3,1.65),(-2.7,-0.3,1.425),(-2.5,-0.3,0.975),(-2,-0.3,0.75),}, + {(-3,-0.3,1.65),(-3,-0.3,1.2),(-2.65,-0.3,0.7275),(-1.9,-0.3,0.45),}, + {(-3,0,1.65),(-3,0,1.2),(-2.65,0,0.7275),(-1.9,0,0.45),} + },{ + {(-2.7,0,1.65),(-2.7,0,1.875),(-2.3,0,1.875),(-1.6,0,1.875),}, + {(-2.7,0.3,1.65),(-2.7,0.3,1.875),(-2.3,0.3,1.875),(-1.6,0.3,1.875),}, + {(-3,0.3,1.65),(-3,0.3,2.1),(-2.5,0.3,2.1),(-1.5,0.3,2.1),}, + {(-3,0,1.65),(-3,0,2.1),(-2.5,0,2.1),(-1.5,0,2.1),} + },{ + {(-2,0,0.75),(-2.5,0,0.975),(-2.7,0,1.425),(-2.7,0,1.65),}, + {(-2,0.3,0.75),(-2.5,0.3,0.975),(-2.7,0.3,1.425),(-2.7,0.3,1.65),}, + {(-1.9,0.3,0.45),(-2.65,0.3,0.7275),(-3,0.3,1.2),(-3,0.3,1.65),}, + {(-1.9,0,0.45),(-2.65,0,0.7275),(-3,0,1.2),(-3,0,1.65),} + } +}; + +picture pic; +size(pic,15cm); +size3(pic,10cm); +draw(pic,surface(P),blue); + +add(embed("label",pic),(0,0),N); +label(cameralink("label"),(0,0),10S,fontsize(24pt)); diff --git a/Master/texmf-dist/doc/asymptote/examples/Bode.asy b/Master/texmf-dist/doc/asymptote/examples/Bode.asy new file mode 100644 index 00000000000..a35540e9749 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Bode.asy @@ -0,0 +1,27 @@ +import graph; +texpreamble("\def\Arg{\mathop {\rm Arg}\nolimits}"); + +size(10cm,5cm,IgnoreAspect); + +real ampl(real x) {return 2.5/(1+x^2);} +real phas(real x) {return -atan(x)/pi;} + +scale(Log,Log); +draw(graph(ampl,0.01,10)); +ylimits(0.001,100); + +xaxis("$\omega\tau_0$",BottomTop,LeftTicks); +yaxis("$|G(\omega\tau_0)|$",Left,RightTicks); + +picture q=secondaryY(new void(picture pic) { + scale(pic,Log,Linear); + draw(pic,graph(pic,phas,0.01,10),red); + ylimits(pic,-1.0,1.5); + yaxis(pic,"$\Arg G/\pi$",Right,red, + LeftTicks("$% #.1f$", + begin=false,end=false)); + yequals(pic,1,Dotted); + }); +label(q,"(1,0)",Scale(q,(1,0)),red); +add(q); + diff --git a/Master/texmf-dist/doc/asymptote/examples/CAD1.asy b/Master/texmf-dist/doc/asymptote/examples/CAD1.asy new file mode 100644 index 00000000000..4602e73b709 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/CAD1.asy @@ -0,0 +1,43 @@ +import CAD;
+
+sCAD cad=sCAD.Create();
+
+// Freehand line
+draw(g=cad.MakeFreehand(pFrom=(3,-1)*cm,(6,-1)*cm),
+ p=cad.pFreehand);
+
+// Standard measurement lines
+draw(g=box((0,0)*cm,(1,1)*cm),p=cad.pVisibleEdge);
+cad.MeasureParallel(L="$\sqrt{2}$",
+ pFrom=(0,1)*cm,
+ pTo=(1,0)*cm,
+ dblDistance=-15mm);
+
+// Label inside,shifted to the right; arrows outside
+draw(g=box((2,0)*cm,(3,1)*cm),p=cad.pVisibleEdge);
+cad.MeasureParallel(L="1",
+ pFrom=(2,1)*cm,
+ pTo=(3,1)*cm,
+ dblDistance=5mm,
+ dblLeft=5mm,
+ dblRelPosition=0.75);
+
+// Label and arrows outside
+draw(g=box((5,0)*cm,(5.5,1)*cm),p=cad.pVisibleEdge);
+cad.MeasureParallel(L="0.5",
+ pFrom=(5,1)*cm,
+ pTo=(5.5,1)*cm,
+ dblDistance=5mm,
+ dblLeft=10mm,
+ dblRelPosition=-1);
+
+// Small bounds,asymmetric measurement line
+draw(g=box((7,0)*cm,(7.5,1)*cm),p=cad.pVisibleEdge);
+cad.MeasureParallel(L="0.5",
+ pFrom=(7,1)*cm,
+ pTo=(7.5,1)*cm,
+ dblDistance=5mm,
+ dblLeft=2*cad.GetMeasurementBoundSize(bSmallBound=true),
+ dblRight=10mm,
+ dblRelPosition=2,
+ bSmallBound=true);
diff --git a/Master/texmf-dist/doc/asymptote/examples/CDlabel.asy b/Master/texmf-dist/doc/asymptote/examples/CDlabel.asy new file mode 100644 index 00000000000..3dd59699e40 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/CDlabel.asy @@ -0,0 +1,14 @@ +size(11.7cm,11.7cm); +asy(nativeformat(),"logo"); +fill(unitcircle^^(scale(2/11.7)*unitcircle), + evenodd+rgb(124/255,205/255,124/255)); +label(scale(1.1)*minipage( +"\centering\scriptsize \textbf{\LARGE {\tt Asymptote}\\ +\smallskip +\small The Vector Graphics Language}\\ +\smallskip +\textsc{Andy Hammerlindl, John Bowman, and Tom Prince} +http://asymptote.sourceforge.net\\ +",8cm),(0,0.6)); +label(graphic("logo."+nativeformat(),"height=7cm"),(0,-0.22)); +clip(unitcircle^^(scale(2/11.7)*unitcircle),evenodd); diff --git a/Master/texmf-dist/doc/asymptote/examples/Coons.asy b/Master/texmf-dist/doc/asymptote/examples/Coons.asy new file mode 100644 index 00000000000..9f59d152575 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Coons.asy @@ -0,0 +1,6 @@ +size(200); + +pen[] p={red,green,blue,magenta}; +path g=(0,0){dir(45)}..(1,0)..(1,1)..(0,1)..cycle; +tensorshade(g,p); +dot(g); diff --git a/Master/texmf-dist/doc/asymptote/examples/GaussianSurface.asy b/Master/texmf-dist/doc/asymptote/examples/GaussianSurface.asy new file mode 100644 index 00000000000..bf198a6a243 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/GaussianSurface.asy @@ -0,0 +1,21 @@ +import graph3; + +size(200,0); + +currentprojection=perspective(10,8,4); + +real f(pair z) {return 0.5+exp(-abs(z)^2);} + +draw((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle); + +draw(arc(0.12Z,0.2,90,60,90,25),ArcArrow3); + +surface s=surface(f,(-1,-1),(1,1),nx=5,Spline); + +xaxis3(Label("$x$"),red,Arrow3); +yaxis3(Label("$y$"),red,Arrow3); +zaxis3(XYZero(extend=true),red,Arrow3); + +draw(s,lightgray,meshpen=black+thick(),nolight,render(merge=true)); + +label("$O$",O,-Z+Y,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/Gouraud.asy b/Master/texmf-dist/doc/asymptote/examples/Gouraud.asy new file mode 100644 index 00000000000..d49813e5e66 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Gouraud.asy @@ -0,0 +1,18 @@ +size(200); + +pen[] p={red,green,blue,magenta}; +pair[] z={(-1,0),(0,0),(0,1),(1,0)}; +int[] edges={0,0,0,1}; +gouraudshade(z[0]--z[2]--z[3]--cycle,p,z,edges); + +draw(z[0]--z[1]--z[2]--cycle); +draw(z[1]--z[3]--z[2],dashed); + +dot(Label,z[0],W); +dot(Label,z[1],S); +dot(Label,z[2],N); +dot(Label,z[3],E); + +label("0",z[0]--z[1],S,red); +label("1",z[1]--z[2],E,red); +label("2",z[2]--z[0],NW,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/Gouraudcontour.asy b/Master/texmf-dist/doc/asymptote/examples/Gouraudcontour.asy new file mode 100644 index 00000000000..1cf788869a2 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Gouraudcontour.asy @@ -0,0 +1,31 @@ +import graph; +import palette; +import contour; + +size(200); + +int n=100; + +real[] x=new real[n]; +real[] y=new real[n]; +real[] f=new real[n]; + +real F(real a, real b) {return a^2+b^2;} + +real r() {return 1.1*(rand()/randMax*2-1);} + +for(int i=0; i < n; ++i) { + x[i]=r(); + y[i]=r(); + f[i]=F(x[i],y[i]); +} + +pen Tickpen=black; +pen tickpen=gray+0.5*linewidth(currentpen); +pen[] Palette=BWRainbow(); + +bounds range=image(x,y,f,Range(0,2),Palette); +draw(contour(pairs(x,y),f,new real[]{0.25,0.5,1},operator ..)); + +palette("$f(x,y)$",range,point(NW)+(0,0.5),point(NE)+(0,0.8),Top,Palette, + PaletteTicks(Tickpen,tickpen)); diff --git a/Master/texmf-dist/doc/asymptote/examples/HermiteSpline.asy b/Master/texmf-dist/doc/asymptote/examples/HermiteSpline.asy new file mode 100644 index 00000000000..7f4cbbebb24 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/HermiteSpline.asy @@ -0,0 +1,14 @@ +import graph; + +size(140mm,70mm,IgnoreAspect); +scale(false); +real[] x={1,3,4,5,6}; +real[] y={1,5,2,0,4}; + +marker mark=marker(scale(1mm)*cross(6,false,r=0.35),red,Fill); + +draw(graph(x,y,Hermite),"Hermite Spline",mark); +xaxis("$x$",Bottom,LeftTicks(x)); +yaxis("$y$",Left,LeftTicks); +attach(legend(),point(NW),40S+30E,UnFill); + diff --git a/Master/texmf-dist/doc/asymptote/examples/Hobbycontrol.asy b/Master/texmf-dist/doc/asymptote/examples/Hobbycontrol.asy new file mode 100644 index 00000000000..50662988e04 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Hobbycontrol.asy @@ -0,0 +1,20 @@ +size(200); +pair z0=(0,0); +pair z1=(0.5,3); +pair z2=(2,1); + +path g=z0..z1..z2; + +pair d0=dir(g,0); +pair d1=dir(g,1); +draw(Label("$\omega_0$",1),z0-d0..z0+d0,blue+dashed,Arrow); +draw(Label("$\omega_1$",1),z1-d1..z1+1.5d1,blue+dashed,Arrow); +draw(z0--interp(z0,z1,1.5),dashed); +draw(subpath(g,0,1),blue); +draw("$\theta$",arc(z0,0.4,degrees(z1-z0),degrees(d0)),red,Arrow, + EndPenMargin); +draw("$\phi$",arc(z1,1.05,degrees(z1-z0),degrees(d1)),red,Arrow, + EndPenMargin); + +dot("$z_0$",z0,SW,red); +dot("$z_1$",z1,SE,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/Hobbydir.asy b/Master/texmf-dist/doc/asymptote/examples/Hobbydir.asy new file mode 100644 index 00000000000..01d8a2e0ed0 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Hobbydir.asy @@ -0,0 +1,21 @@ +size(200); +pair z0=(0,0); +pair z1=(1,2); +pair z2=(2,1); + +path g=z0..z1..z2; + +label("$\ell_k$",z0--z1); +draw("$\ell_{k+1}$",z1--z2,dashed); +draw(z0--interp(z0,z1,1.5),dashed); +pair d1=dir(g,1); +draw(z1-d1..z1+d1,blue+dashed); +draw(g,blue); +draw(Label("$\theta_k$",0.4),arc(z1,0.4,degrees(z2-z1),degrees(d1)),blue,Arrow, + EndPenMargin); +draw("$\phi_k$",arc(z1,0.4,degrees(d1),degrees(z1-z0),CCW),Arrow, + EndPenMargin); + +dot("$z_{k-1}$",z0,red); +dot("$z_k$",z1,NW,red); +dot("$z_{k+1}$",z2,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/Klein.asy b/Master/texmf-dist/doc/asymptote/examples/Klein.asy new file mode 100644 index 00000000000..99914d90432 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Klein.asy @@ -0,0 +1,51 @@ +import graph3; + +size(469pt); + +viewportmargin=0; + +currentprojection=perspective( +camera=(25.0851928432063,-30.3337528952473,19.3728775115443), +up=Z, +target=(-0.590622314050054,0.692357205025578,-0.627122488455679), +zoom=1, +autoadjust=false); + +triple f(pair t) { + real u=t.x; + real v=t.y; + real r=2-cos(u); + real x=3*cos(u)*(1+sin(u))+r*cos(v)*(u < pi ? cos(u) : -1); + real y=8*sin(u)+(u < pi ? r*sin(u)*cos(v) : 0); + real z=r*sin(v); + return (x,y,z); +} + +surface s=surface(f,(0,0),(2pi,2pi),8,8,Spline); +draw(s,lightolive+white,"bottle",render(merge=true)); + +string lo="$\displaystyle u\in[0,\pi]: \cases{x=3\cos u(1+\sin u)+(2-\cos u)\cos u\cos v,\cr +y=8\sin u+(2-\cos u)\sin u\cos v,\cr +z=(2-\cos u)\sin v.\cr}$"; + +string hi="$\displaystyle u\in[\pi,2\pi]:\\\cases{x=3\cos u(1+\sin u)-(2-\cos u)\cos v,\cr +y=8\sin u,\cr +z=(2-\cos u)\sin v.\cr}$"; + +real h=0.0125; + +begingroup3("parametrization"); +draw(surface(xscale(-0.38)*yscale(-0.18)*lo,s,0,1.7,h,bottom=false), + "[0,pi]"); +draw(surface(xscale(0.26)*yscale(0.1)*rotate(90)*hi,s,4.9,1.4,h,bottom=false), + "[pi,2pi]"); +endgroup3(); + +begingroup3("boundary"); +draw(s.uequals(0),blue+dashed); +draw(s.uequals(pi),blue+dashed); +endgroup3(); + +add(new void(frame f, transform3 t, picture pic, projection P) { + draw(f,invert(box(min(f,P),max(f,P)),P),"frame"); + }); diff --git a/Master/texmf-dist/doc/asymptote/examples/NURBScurve.asy b/Master/texmf-dist/doc/asymptote/examples/NURBScurve.asy new file mode 100644 index 00000000000..c4da5c2ff5f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/NURBScurve.asy @@ -0,0 +1,33 @@ +import three; + +size(10cm); + +currentprojection=perspective(50,80,50); + +// Nonrational curve: +// udegree=3, nu=6; +real[] knot={0,0,0,0,0.4,0.6,1,1,1,1}; + +triple[] P={ + (-31.2061,12.001,6.45082), + (-31.3952,14.7353,6.53707), + (-31.5909,21.277,6.70051), + (-31.4284,25.4933,6.76745), + (-31.5413,30.3485,6.68777), + (-31.4896,32.2839,6.58385) + }; + +draw(P,knot,green); + +// Rational Bezier curve: +// udegree=3, nu=4; +real[] knot={0,0,0,0,1,1,1,1}; +path3 g=scale3(20)*(X{Y}..{-X}Y); +triple[] P={point(g,0),postcontrol(g,0),precontrol(g,1),point(g,1)}; + +// Optional weights: +real[] weights=array(P.length,1.0); +weights[2]=5; + +draw(P,knot,weights,red); + diff --git a/Master/texmf-dist/doc/asymptote/examples/NURBSsphere.asy b/Master/texmf-dist/doc/asymptote/examples/NURBSsphere.asy new file mode 100644 index 00000000000..5258c9986de --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/NURBSsphere.asy @@ -0,0 +1,46 @@ +import three; + +/* Reference: +@article{Qin97, + title={{Representing quadric surfaces using NURBS surfaces}}, + author={Qin, K.}, + journal={Journal of Computer Science and Technology}, + volume={12}, + number={3}, + pages={210--216}, + year={1997}, + publisher={Springer} +} +*/ + +size(10cm); +currentprojection=perspective(5,4,2,autoadjust=false); + +// udegree=2, vdegree=3, nu=3, nv=4; + +real[] W={2/3,1/3,1}; +real[] w={1,1/3,1/3,1}; + +// 10 distinct control points +triple[][] P={{(0,0,1),(-2,-2,1),(-2,-2,-1),(0,0,-1)}, + {(0,0,1),(2,-2,1),(2,-2,-1),(0,0,-1)}, + {(0,0,1),(2,2,1),(2,2,-1),(0,0,-1)}, + {(0,0,1),(-2,2,1),(-2,2,-1),(0,0,-1)}}; + +P.cyclic=true; + +real[][] weights=new real[3][4]; +for(int i=0; i < 3; ++i) +for(int j=0; j < 4; ++j) + weights[i][j]=W[i]*w[j]; + +real[] uknot={0,0,1/3,1/2,1,1}; +real[] vknot={0,0,0,0,1,1,1,1}; + +int N=1; + +for(int k=0; k < N; ++k) +for(int i=0; i < 4; ++i) + draw(shift(k*Z)*P[i:i+3],uknot,vknot,weights,blue); + +// draw(unitsphere,red+opacity(0.1)); diff --git a/Master/texmf-dist/doc/asymptote/examples/NURBSsurface.asy b/Master/texmf-dist/doc/asymptote/examples/NURBSsurface.asy new file mode 100644 index 00000000000..32df6ff98ea --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/NURBSsurface.asy @@ -0,0 +1,62 @@ +import three; + +size(10cm); + +currentprojection=perspective(50,80,50); + +// Nonrational surface: +// udegree=3, vdegree=3, nu=5, nv=6; +real[] uknot={0,0,0,0,0.5,1,1,1,1}; +real[] vknot={0,0,0,0,0.4,0.6,1,1,1,1}; + +triple[][] P={{ + (-31.2061,12.001,6.45082), + (-31.3952,14.7353,6.53707), + (-31.5909,21.277,6.70051), + (-31.4284,25.4933,6.76745), + (-31.5413,30.3485,6.68777), + (-31.4896,32.2839,6.58385) + },{ + (-28.279,12.001,7.89625), + (-28.4187,14.7353,8.00954), + (-28.5633,21.277,8.22422), + (-28.4433,25.4933,8.31214), + (-28.5266,30.3485,8.20749), + (-28.4885,32.2839,8.07099) + },{ + (-20,12.001,10.0379), + (-20,14.7353,10.2001), + (-20,21.277,10.5076), + (-20,25.4933,10.6335), + (-20,30.3485,10.4836), + (-20,32.2839,10.2881) + },{ + (-11.721,12.001,7.84024), + (-11.5813,14.7353,7.95269), + (-11.4367,21.277,8.16575), + (-11.5567,25.4933,8.25302), + (-11.4734,30.3485,8.14915), + (-11.5115,32.2839,8.01367) + },{ + (-8.79391,12.001,6.39481), + (-8.60483,14.7353,6.48022), + (-8.40905,21.277,6.64204), + (-8.57158,25.4933,6.70832), + (-8.45874,30.3485,6.62943), + (-8.51041,32.2839,6.52653) + } +}; + +draw(P,uknot,vknot,new pen[] {red,green,blue,magenta}); + +// Rational Bezier patch: +// udegree=3, vdegree=3, nu=4, nv=4; +real[] uknot={0,0,0,0,1,1,1,1}; +real[] vknot={0,0,0,0,1,1,1,1}; +triple[][] P=scale3(20)*octant1.P; + +// Optional weights: +real[][] weights=array(P.length,array(P[0].length,1.0)); +weights[0][2]=5.0; + +draw(P,uknot,vknot,weights,blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/Pythagoras.asy b/Master/texmf-dist/doc/asymptote/examples/Pythagoras.asy new file mode 100644 index 00000000000..f4ea68fe432 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Pythagoras.asy @@ -0,0 +1,22 @@ +size(0,150); +import geometry; + +real a=3; +real b=4; +real c=hypot(a,b); + +pair z1=(0,b); +pair z2=(a,0); +pair z3=(a+b,0); +perpendicular(z1,NE,z1--z2,blue); +perpendicular(z3,NW,blue); +draw(square((0,0),z3)); +draw(square(z1,z2)); + +real d=0.3; +pair v=unit(z2-z1); +draw(baseline("$a$"),-d*I--z2-d*I,red,Bars,Arrows,PenMargins); +draw(baseline("$b$"),z2-d*I--z3-d*I,red,Arrows,Bars,PenMargins); +draw("$c$",z3+z2*I-d*v--z2-d*v,red,Arrows,PenMargins); +draw("$a$",z3+d--z3+z2*I+d,red,Arrows,Bars,PenMargins); +draw("$b$",z3+z2*I+d--z3+z3*I+d,red,Arrows,Bars,PenMargins); diff --git a/Master/texmf-dist/doc/asymptote/examples/PythagoreanTree.asy b/Master/texmf-dist/doc/asymptote/examples/PythagoreanTree.asy new file mode 100644 index 00000000000..8ea66650bf3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/PythagoreanTree.asy @@ -0,0 +1,20 @@ +size(250); + +real a=3; +real b=4; +real c=hypot(a,b); + +transform ta=shift(c,c)*rotate(-aCos(a/c))*scale(a/c)*shift(-c); +transform tb=shift(0,c)*rotate(aCos(b/c))*scale(b/c); + +picture Pythagorean(int n) { + picture pic; + fill(pic,scale(c)*unitsquare,1/(n+1)*green+n/(n+1)*brown); + if(n == 0) return pic; + picture branch=Pythagorean(--n); + add(pic,ta*branch); + add(pic,tb*branch); + return pic; +} + +add(Pythagorean(12)); diff --git a/Master/texmf-dist/doc/asymptote/examples/RiemannSurface.asy b/Master/texmf-dist/doc/asymptote/examples/RiemannSurface.asy new file mode 100644 index 00000000000..a1f1b665089 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/RiemannSurface.asy @@ -0,0 +1,13 @@ +import graph3; +import palette; + +size(200,300,keepAspect=false); +//settings.nothin=true; + +currentprojection=orthographic(10,10,30); +currentlight=(10,10,5); +triple f(pair t) {return (exp(t.x)*cos(t.y),exp(t.x)*sin(t.y),t.y);} + +surface s=surface(f,(-4,-2pi),(0,4pi),8,16,Spline); +s.colors(palette(s.map(zpart),Rainbow())); +draw(s,render(merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/RiemannSurfaceRoot.asy b/Master/texmf-dist/doc/asymptote/examples/RiemannSurfaceRoot.asy new file mode 100644 index 00000000000..8cb3af2cfa9 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/RiemannSurfaceRoot.asy @@ -0,0 +1,16 @@ +// Riemann surface of z^{1/n} +import graph3; +import palette; + +int n=3; + +size(200,300,keepAspect=false); + +currentprojection=orthographic(10,10,30); +currentlight=(10,10,5); +triple f(pair t) {return (t.x*cos(t.y),t.x*sin(t.y),t.x^(1/n)*sin(t.y/n));} + +surface s=surface(f,(0,0),(1,2pi*n),8,16,Spline); +s.colors(palette(s.map(zpart),Rainbow())); + +draw(s,meshpen=black,render(merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/Sierpinski.asy b/Master/texmf-dist/doc/asymptote/examples/Sierpinski.asy new file mode 100644 index 00000000000..d1664045d9f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/Sierpinski.asy @@ -0,0 +1,17 @@ +size(10cm); + +// Draw Sierpinski triangle with top vertex A, side s, and depth q. +void Sierpinski(pair A, real s, int q, bool top=true) +{ + pair B=A-(1,sqrt(2))*s/2; + pair C=B+s; + if(top) draw(A--B--C--cycle); + draw((A+B)/2--(B+C)/2--(A+C)/2--cycle); + if(q > 0) { + Sierpinski(A,s/2,q-1,false); + Sierpinski((A+B)/2,s/2,q-1,false); + Sierpinski((A+C)/2,s/2,q-1,false); + } +} + +Sierpinski((0,1),1,5); diff --git a/Master/texmf-dist/doc/asymptote/examples/SierpinskiGasket.asy b/Master/texmf-dist/doc/asymptote/examples/SierpinskiGasket.asy new file mode 100644 index 00000000000..2e0d4facd64 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/SierpinskiGasket.asy @@ -0,0 +1,31 @@ +size(200); +import palette; +import three; +currentprojection=perspective(8,2,1); + +triple[] M={(0,0,1),1/3*(sqrt(8),0,-1), + 1/3*((sqrt(8))*Cos(120),(sqrt(8))*Sin(120),-1), + 1/3*((sqrt(8))*Cos(240),(sqrt(8))*Sin(240),-1)}; + +int level=5; + +surface s; + +void recur(triple p, real u, int l) { + if(l < level) + for(triple V : M) + recur(p+u*V,u/2,l+1); + else + for(triple V : M) { + s.append(surface((p+u*(V+M[0]))--(p+u*(V+M[1]))--(p+u*(V+M[2]))--cycle)); + s.append(surface((p+u*(V+M[0]))--(p+u*(V+M[2]))--(p+u*(V+M[3]))--cycle)); + s.append(surface((p+u*(V+M[0]))--(p+u*(V+M[3]))--(p+u*(V+M[1]))--cycle)); + s.append(surface((p+u*(V+M[3]))--(p+u*(V+M[2]))--(p+u*(V+M[1]))--cycle)); + } +} + +recur(O,0.5,1); + +s.colors(palette(s.map(zpart),Rainbow())); + +draw(s,render(merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/SierpinskiSponge.asy b/Master/texmf-dist/doc/asymptote/examples/SierpinskiSponge.asy new file mode 100644 index 00000000000..c398aa511c6 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/SierpinskiSponge.asy @@ -0,0 +1,99 @@ +size(200); +import palette; +import three; + +currentprojection=orthographic(1,1,1); + +triple[] M={ + (-1,-1,-1),(0,-1,-1),(1,-1,-1),(1,0,-1), + (1,1,-1),(0,1,-1),(-1,1,-1),(-1,0,-1), + (-1,-1,0),(1,-1,0),(1,1,0),(-1,1,0), + (-1,-1,1),(0,-1,1),(1,-1,1),(1,0,1),(1,1,1),(0,1,1),(-1,1,1),(-1,0,1) +}; + +surface[] Squares={ + surface((1,-1,-1)--(1,1,-1)--(1,1,1)--(1,-1,1)--cycle), + surface((-1,-1,-1)--(-1,1,-1)--(-1,1,1)--(-1,-1,1)--cycle), + surface((1,1,-1)--(-1,1,-1)--(-1,1,1)--(1,1,1)--cycle), + surface((1,-1,-1)--(-1,-1,-1)--(-1,-1,1)--(1,-1,1)--cycle), + surface((1,-1,1)--(1,1,1)--(-1,1,1)--(-1,-1,1)--cycle), + surface((1,-1,-1)--(1,1,-1)--(-1,1,-1)--(-1,-1,-1)--cycle), +}; + +int[][] SquaresPoints={ + {2,3,4,10,16,15,14,9}, + {0,7,6,11,18,19,12,8}, + {4,5,6,11,18,17,16,10}, + {2,1,0,8,12,13,14,9}, + {12,13,14,15,16,17,18,19}, + {0,1,2,3,4,5,6,7} +}; + +int[][] index={ + {0,2,4},{0,1},{1,2,4},{2,3},{1,3,4},{0,1},{0,3,4},{2,3}, + {4,5},{4,5},{4,5},{4,5}, + {0,2,5},{0,1},{1,2,5},{2,3},{1,3,5},{0,1},{0,3,5},{2,3} +}; + +int[] Sponge0=array(n=6,value=1); + +int[] eraseFaces(int n, int[] Sponge0) { + int[] temp=copy(Sponge0); + for(int k : index[n]) { + temp[k]=0; + } + return temp; +} + +int[][] Sponge1=new int[20][]; +for(int n=0; n < 20; ++n) { + Sponge1[n]=eraseFaces(n,Sponge0); +} + +int[][] eraseFaces(int n, int[][] Sponge1) { + int[][] temp=copy(Sponge1); + for(int k : index[n]) + for(int n1 : SquaresPoints[k]) + temp[n1][k]=0; + return temp; +} + +int[][][] Sponge2=new int[20][][]; +for(int n=0; n < 20; ++n) + Sponge2[n]=eraseFaces(n,Sponge1); + +int[][][] eraseFaces(int n, int[][][] Sponge2) { + int[][][] temp=copy(Sponge2); + for(int k : index[n]) + for(int n2: SquaresPoints[k]) + for(int n1: SquaresPoints[k]) + temp[n2][n1][k]=0; + return temp; +} + +int[][][][] Sponge3=new int[20][][][]; +for(int n=0; n < 20; ++n) + Sponge3[n]=eraseFaces(n,Sponge2); + +surface s3; +real u=2/3; +for(int n3=0; n3 < 20; ++n3) { + surface s2; + for(int n2=0; n2 < 20; ++n2) { + surface s1; + for(int n1=0; n1 < 20; ++n1) { + for(int k=0; k < 6; ++k){ + transform3 T=scale3(u)*shift(M[n1])*scale3(0.5); + if(Sponge3[n3][n2][n1][k] > 0) { + s1.append(T*Squares[k]); + } + } + } + transform3 T=scale3(u)*shift(M[n2])*scale3(0.5); + s2.append(T*s1); + } + transform3 T=scale3(u)*shift(M[n3])*scale3(0.5); + s3.append(T*s2); +} +s3.colors(palette(s3.map(abs),Rainbow())); +draw(s3); diff --git a/Master/texmf-dist/doc/asymptote/examples/advection.asy b/Master/texmf-dist/doc/asymptote/examples/advection.asy new file mode 100644 index 00000000000..ea993ff0fc8 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/advection.asy @@ -0,0 +1,87 @@ +size(0,22cm); + +texpreamble(" +\usepackage{bm} +\def\v{\bm} +\def\grad{\v\nabla} +\def\cross{{\v\times}} +\def\curl{\grad\cross} +\def\del{\nabla} +"); + +defaultpen(fontsize(10pt)); + +real margin=1.5mm; + +object IC=draw("initial condition $\v U_0$",box,(0,1), + margin,black,FillDraw(palegray)); +object Adv0=draw("Lagrangian state $\v U(t)$",ellipse,(1,1), + margin,red,FillDraw(palered)); +object Adv=draw("Lagrangian prediction $\v U(t+\tau)$",ellipse,(1,0), + margin,red,FillDraw(palered)); +object AdvD=draw("diffused parcels",ellipse,(1.8,1), + margin,red,FillDraw(palered)); +object Ur=draw("rearranged $\v \widetilde U$",box,(0,0), + margin,orange+gray,FillDraw(paleyellow)); +object Ui=draw("interpolated $\v \widetilde U$",box,(1,-1), + margin,blue,FillDraw(paleblue)); +object Crank=draw("${\cal L}^{-1}(-\tau){\cal L}(\tau)\v \widetilde U$", + box,(0.5,-1),margin,blue,FillDraw(paleblue)); +object CrankR=draw("${\cal L}^{-1}(-\tau){\cal L}(\tau)\v \widetilde U$", + box,(0,-1),margin,orange+gray,FillDraw(paleyellow)); +object Urout=draw(minipage("\center{Lagrangian rearranged solution~$\v U_R$}", + 100pt),box,(0,-2),margin,orange+gray, + FillDraw(paleyellow)); +object Diff=draw("$\v D\del^2 \v \widetilde U$",box,(0.75,-1.5), + margin,blue,FillDraw(paleblue)); +object UIout=draw(minipage("\center{semi-Lagrangian solution~$\v U_I$}",80pt), + box,(0.5,-2),margin,FillDraw(palered+paleyellow)); +object psi=draw("$\psi=\del^{-2}\omega$",box,(1.6,-1), + margin,darkgreen,FillDraw(palegreen)); +object vel=draw("$\v v=\v{\hat z} \cross\grad\psi$",box,(1.6,-0.5), + margin,darkgreen,FillDraw(palegreen)); + +add(new void(frame f, transform t) { + pair padv=0.5*(point(Adv0,S,t)+point(Adv,N,t)); + picture pic; + draw(pic,"initialize",point(IC,E,t)--point(Adv0,W,t),RightSide,Arrow, + PenMargin); + draw(pic,minipage("\flushright{advect: Runge-Kutta}",80pt), + point(Adv0,S,t)--point(Adv,N,t),RightSide,red,Arrow,PenMargin); + draw(pic,Label("Lagrange $\rightarrow$ Euler",0.45), + point(Adv,W,t)--point(Ur,E,t),5LeftSide,orange+gray, + Arrow,PenMargin); + draw(pic,"Lagrange $\rightarrow$ Euler",point(Adv,S,t)--point(Ui,N,t), + RightSide,blue,Arrow,PenMargin); + draw(pic,point(Adv,E,t)--(point(AdvD,S,t).x,point(Adv,E,t).y),red, + Arrow(Relative(0.7)),PenMargin); + draw(pic,minipage("\flushleft{diffuse: multigrid Crank--Nicholson}",80pt), + point(Ui,W,t)--point(Crank,E,t),5N,blue,MidArrow,PenMargin); + draw(pic,minipage("\flushleft{diffuse: multigrid Crank--Nicholson}",80pt), + point(Ur,S,t)--point(CrankR,N,t),LeftSide,orange+gray,Arrow,PenMargin); + draw(pic,"output",point(CrankR,S,t)--point(Urout,N,t),RightSide, + orange+gray,Arrow,PenMargin); + draw(pic,point(Ui,S,t)--point(Diff,N,t),blue,MidArrow,PenMargin); + draw(pic,point(Crank,S,t)--point(Diff,N,t),blue,MidArrow,PenMargin); + label(pic,"subtract",point(Diff,N,t),12N,blue); + draw(pic,Label("Euler $\rightarrow$ Lagrange",0.5), + point(Diff,E,t)--(point(AdvD,S,t).x,point(Diff,E,t).y)-- + (point(AdvD,S,t).x,point(Adv,E,t).y),RightSide,blue, + Arrow(position=1.5),PenMargin); + dot(pic,(point(AdvD,S,t).x,point(Adv,E,t).y),red); + draw(pic,(point(AdvD,S,t).x,point(Adv,E,t).y)--point(AdvD,S,t),red,Arrow, + PenMargin); + draw(pic,"output",point(Crank,S,t)--point(UIout,N,t),RightSide,brown,Arrow, + PenMargin); + draw(pic,Label("$t+\tau\rightarrow t$",0.45), + point(AdvD,W,t)--point(Adv0,E,t),2.5LeftSide,red,Arrow,PenMargin); + draw(pic,point(psi,N,t)--point(vel,S,t),darkgreen,Arrow,PenMargin); + draw(pic,Label("self-advection",4.5),point(vel,N,t)-- + arc((point(vel,N,t).x,point(Adv,E,t).y),5,270,90)-- + (point(vel,N,t).x,padv.y)-- + padv,LeftSide,darkgreen,Arrow,PenMargin); + draw(pic,Label("multigrid",0.5,S),point(Ui,E,t)--point(psi,W,t),darkgreen, + Arrow,PenMargin); + + add(f,pic.fit()); + }); diff --git a/Master/texmf-dist/doc/asymptote/examples/alignbox.asy b/Master/texmf-dist/doc/asymptote/examples/alignbox.asy new file mode 100644 index 00000000000..67083b1e2e0 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/alignbox.asy @@ -0,0 +1,9 @@ +real margin=1.5mm; + +object left=align(object("$x^2$",ellipse,margin),W); +add(left); +object right=align(object("$\sin x$",ellipse,margin),4E); +add(right); +add(new void(frame f, transform t) { + draw(f,point(left,NE,t)--point(right,W,t)); + }); diff --git a/Master/texmf-dist/doc/asymptote/examples/alignedaxis.asy b/Master/texmf-dist/doc/asymptote/examples/alignedaxis.asy new file mode 100644 index 00000000000..542dcb9bc60 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/alignedaxis.asy @@ -0,0 +1,107 @@ +import graph; + +real Freq=60.0; +real margin=5mm; + +pair exp(pair x) { + return exp(x.x)*(cos(x.y)+I*sin(x.y)); +} + +real Merr(real x, real w) { + real tau=x/(2*Freq); + return 20*log(abs((tau*w+tau/(exp(I*2*pi*Freq*tau)-1))*(I*2*pi*Freq))); +} + +real Aerr(real x, real w) { + real tau=x/(2*Freq); + return degrees((tau*w+tau/(exp(I*2*pi*Freq*tau)-1))*(I*2*pi*Freq)); +} + +picture pic1; +scale(pic1,Log,Linear); +real Merr1(real x){return Merr(x,1);} +draw(pic1,graph(pic1,Merr1,1e-4,1),black+1.2); + +ylimits(pic1,-60,20); +yaxis(pic1,"magnitude (dB)",LeftRight,RightTicks(new + real[] {-60,-40,-20,0,20})); +xaxis(pic1,"$f/f_\mathrm{Ny}$",BottomTop,LeftTicks(N=5)); +yequals(pic1,0,Dotted); +yequals(pic1,-20,Dotted); +yequals(pic1,-40,Dotted); +xequals(pic1,1e-3,Dotted); +xequals(pic1,1e-2,Dotted); +xequals(pic1,1e-1,Dotted); + +size(pic1,100,100,point(pic1,SW),point(pic1,NE)); + +label(pic1,"$\theta=1$",point(pic1,N),2N); + +frame f1=pic1.fit(); +add(f1); + +picture pic1p; +scale(pic1p,Log,Linear); +real Aerr1(real x){return Aerr(x,1);} +draw(pic1p,graph(pic1p,Aerr1,1e-4,1),black+1.2); + +ylimits(pic1p,-5,95); +yaxis(pic1p,"phase (deg)",LeftRight,RightTicks(new real[] {0,45,90})); +xaxis(pic1p,"$f/f_\mathrm{Ny}$",BottomTop,LeftTicks(N=5)); +yequals(pic1p,0,Dotted); +yequals(pic1p,45,Dotted); +yequals(pic1p,90,Dotted); +xequals(pic1p,1e-3,Dotted); +xequals(pic1p,1e-2,Dotted); +xequals(pic1p,1e-1,Dotted); + +size(pic1p,100,100,point(pic1p,SW),point(pic1p,NE)); + +frame f1p=pic1p.fit(); +f1p=shift(0,min(f1).y-max(f1p).y-margin)*f1p; +add(f1p); + +picture pic2; +scale(pic2,Log,Linear); +real Merr2(real x){return Merr(x,0.75);} +draw(pic2,graph(pic2,Merr2,1e-4,1),black+1.2); + +ylimits(pic2,-60,20); +yaxis(pic2,"magnitude (dB)",LeftRight,RightTicks(new + real[] {-60,-40,-20,0,20})); +xaxis(pic2,"$f/f_\mathrm{Ny}$",BottomTop,LeftTicks(N=5)); +yequals(pic2,0,Dotted); +yequals(pic2,-20,Dotted); +yequals(pic2,-40,Dotted); +xequals(pic2,1e-3,Dotted); +xequals(pic2,1e-2,Dotted); +xequals(pic2,1e-1,Dotted); + +size(pic2,100,100,point(pic2,SW),point(pic2,NE)); + +label(pic2,"$\theta=0.75$",point(pic2,N),2N); + +frame f2=pic2.fit(); +f2=shift(max(f1).x-min(f2).x+margin)*f2; +add(f2); + +picture pic2p; +scale(pic2p,Log,Linear); +real Aerr2(real x){return Aerr(x,0.75);} +draw(pic2p,graph(pic2p,Aerr2,1e-4,1),black+1.2); + +ylimits(pic2p,-5,95); +yaxis(pic2p,"phase (deg)",LeftRight,RightTicks(new real[] {0,45.1,90})); +xaxis(pic2p,"$f/f_\mathrm{Ny}$",BottomTop,LeftTicks(N=5)); +yequals(pic2p,0,Dotted); +yequals(pic2p,45,Dotted); +yequals(pic2p,90,Dotted); +xequals(pic2p,1e-3,Dotted); +xequals(pic2p,1e-2,Dotted); +xequals(pic2p,1e-1,Dotted); + +size(pic2p,100,100,point(pic2p,SW),point(pic2p,NE)); + +frame f2p=pic2p.fit(); +f2p=shift(max(f1p).x-min(f2p).x+margin,min(f2).y-max(f2p).y-margin)*f2p; +add(f2p); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/cube.asy b/Master/texmf-dist/doc/asymptote/examples/animations/cube.asy new file mode 100644 index 00000000000..001e54466d8 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/cube.asy @@ -0,0 +1,46 @@ +import math; +import bsp; +import animation; + +size(100,100); + +animation a; + +void face(face[] faces, path3 p, int j, int k) { + picture pic=faces.push(p); + filldraw(pic,project(p),Pen(j)); + int sign=(k % 2 == 0) ? 1 : -1; + transform t=scale(4)*transform(dir(p,0,sign),dir(p,0,-sign)); + label(pic,t*(string) j,project(0.5*(min(p)+max(p)))); +} + +void snapshot(transform3 t) +{ + static transform3 s=shift(-0.5*(X+Y+Z)); + save(); + + face[] faces; + int j=-1; + transform3 T=t*s; + for(int k=0; k < 2; ++k) { + face(faces,T*plane((1,0,0),(0,1,0),(0,0,k)),++j,k); + face(faces,T*plane((0,1,0),(0,0,1),(k,0,0)),++j,k); + face(faces,T*plane((0,0,1),(1,0,0),(0,k,0)),++j,k); + } + add(faces); + + a.add(); + restore(); +} + +int n=50; + +real step=360/n; +for(int i=0; i < n; ++i) + snapshot(rotate(i*step,X)); +for(int i=0; i < n; ++i) + snapshot(rotate(i*step,Y)); +for(int i=0; i < n; ++i) + snapshot(rotate(i*step,Z)); + +a.movie(loops=10,delay=50); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/earthmoon.asy b/Master/texmf-dist/doc/asymptote/examples/animations/earthmoon.asy new file mode 100644 index 00000000000..efca043b8bc --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/earthmoon.asy @@ -0,0 +1,78 @@ +import graph3; +import solids; +import three; +import animate; + +settings.render=2; +settings.tex="pdflatex"; +settings.prc=false; +settings.thick=false; +settings.outformat="mpg"; +currentprojection=orthographic(5,4,2); +currentlight=light(specular=black,(0.1,-0.1,1),viewport=true); + +size(15cm,0); + +animation A; + +real Rst=20, Rl=0.7, Rtl=5; +real ast=20, est=0.3, bst=ast*sqrt(1-est^2), cst=ast*est; +real atl=5, etl=0.8, btl=atl*sqrt(1-etl^2), ctl=atl*etl; + +real xST(real t) {return ast*cos(t)+cst;} +real yST(real t) {return bst*sin(t);} +real zST(real t) {return 0;} + +real xTL(real t) {return atl*cos(27t);} +real yTL(real t) {return btl*sin(27t);} +real zTL(real t) {return 0;} + + +real xLl(real t) {return Rl*cos(27t);} +real yLl(real t) {return Rl*sin(27t);} +real zLl(real t) {return 0;} + +real xTt(real t) {return Rtl*cos(100t)/5;} +real yTt(real t) {return Rtl*sin(100t)/5;} +real zTt(real t) {return 0;} + +real xl(real t) {return xST(t)+xTL(t)+xLl(t);} +real yl(real t) {return yST(t)+yTL(t)+yLl(t);} +real zl(real t) {return 0;} + +real xt(real t) {return xST(t)+xTt(t);} +real yt(real t) {return yST(t)+yTt(t);} +real zt(real t) {return 0;} + +real xL(real t) {return xST(t)+xTL(t);} +real yL(real t) {return yST(t)+yTL(t);} +real zL(real t) {return 0;} + +path3 Pl=graph(xl,yl,zl,0,2pi,1000),Pt=graph(xt,yt,zt,0,2pi,3000), +Pts=graph(xST,yST,zST,0,2pi,500); + +picture pic; + +draw(pic,Pl,lightgray); +draw(pic,Pt,lightblue); +draw(pic,Pts,blue+dashed); + +draw(pic,shift(cst,0,0)*scale3(Rtl/2)*unitsphere,yellow); + +surface terre=scale3(Rtl/5)*unitsphere; +surface lune=scale3(Rl)*unitsphere; + +int n=50; + +real step=2pi/n; +for(int i=0; i < n; ++i) { + real k=i*step; + add(pic); + draw(shift(xL(k),yL(k),0)*lune,lightgray); + draw(shift(xST(k),yST(k),0)*terre,lightblue+lightgreen); + A.add(); + erase(); +} + +A.movie(BBox(1mm,Fill(Black)),delay=500, + options="-density 288x288 -geometry 50%x"); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/embeddedmovie.asy b/Master/texmf-dist/doc/asymptote/examples/animations/embeddedmovie.asy new file mode 100644 index 00000000000..98dfd424db8 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/embeddedmovie.asy @@ -0,0 +1,24 @@ +// An embedded movie; +// +// See http://www.tug.org/tex-archive/macros/latex/contrib/movie15/README +// for documentation of the options. + +import embed; // Add embedded movie +//import external; // Add external movie (use this form under Linux). + +// Generated needed mpeg file if it doesn't already exist. +asy("mpg","wheel"); + +// Produce a pdf file. +settings.outformat="pdf"; + +settings.twice=true; + +// An embedded movie: +label(embed("wheel.mpg","poster,text=wheel.mpg,label=wheel.mpg",20cm,5.6cm), + (0,0),N); + +// An optional button: +label(link("wheel.mpg","Play","play"),(0,0),S); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/embeddedu3d.asy b/Master/texmf-dist/doc/asymptote/examples/animations/embeddedu3d.asy new file mode 100644 index 00000000000..1116c216fe2 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/embeddedu3d.asy @@ -0,0 +1,6 @@ +// An embedded U3D object; +// +import embed; + +label(embed("dice.u3d","poster,text=(dice.u3d),3Droo=27,label=dice",settings.paperwidth,settings.paperheight)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/externalmovie.asy b/Master/texmf-dist/doc/asymptote/examples/animations/externalmovie.asy new file mode 100644 index 00000000000..77c99528307 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/externalmovie.asy @@ -0,0 +1,17 @@ +// Embed a movie to be run in an external window. + +import external; + +// External movies require the pdflatex engine. +settings.tex="pdflatex"; + +// Generated needed mpeg file if it doesn't already exist. +asy("mpg","wheel"); + +// Produce a pdf file. +settings.outformat="pdf"; + +// External movie: viewable even with the Linux version of acroread. +label(embed("wheel.mpg"),(0,0),N); + +label(link("wheel.mpg","Play"),(0,0),S); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/glmovie.asy b/Master/texmf-dist/doc/asymptote/examples/animations/glmovie.asy new file mode 100644 index 00000000000..c3d86481b1b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/glmovie.asy @@ -0,0 +1,21 @@ +settings.autoplay=true; +settings.loop=true; + +import graph3; +import animate; +currentprojection=orthographic(1,-2,0.5); + +animation A; +int n=25; + +for(int i=0; i < n; ++i) { + picture pic; + size3(pic,6cm); + real k=i/n*pi; + real f(pair z) {return 4cos(abs(z)-k)*exp(-abs(z)/6);} + draw(pic,surface(f,(-4pi,-4pi),(4pi,4pi),Spline),paleblue); + draw(pic,shift(i*6Z/n)*unitsphere,yellow); + A.add(pic); +} + +A.glmovie(); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/heatequation.asy b/Master/texmf-dist/doc/asymptote/examples/animations/heatequation.asy new file mode 100644 index 00000000000..3c5708e583f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/heatequation.asy @@ -0,0 +1,76 @@ +import graph3; +import palette; +import animate; + +settings.tex="pdflatex"; +settings.render=0; +settings.prc=false; +unitsize(1cm); + +animation a; + +currentprojection=perspective(-20,-18,18); +currentlight=light(1,1,10); + +int n=26; +real L=2.5; +real dx=2*L/n; +real CFL=0.125; +real dt=CFL*dx^2; + +real[][] Z=new real[n][n]; +real[][] W=new real[n][n]; + +guide initcond1=shift((-1,-1))*scale(0.5)*unitcircle; +guide initcond2=shift((0.5,0))*yscale(1.2)*unitcircle; + +real f(pair p) {return (inside(initcond1,p)||inside(initcond2,p)) ? 2 : 0;} + +//Initialize +for(int i=0; i < n; ++i) + for (int j=0; j < n; ++j) + Z[i][j]=f((-L,-L)+(2*L/n)*(i,j)); + +real f(pair t) { + int i=round((n/2)*(t.x/L+1)); + int j=round((n/2)*(t.y/L+1)); + if(i > n-1) i=n-1; + if(j > n-1) j=n-1; + return Z[i][j]; +} + +surface sf; + +void advanceZ(int iter=20) { + for(int k=0; k < iter; ++k) { + for(int i=0; i < n; ++i) + for(int j=0; j < n; ++j) W[i][j]=0; + for(int i=1; i < n-1; ++i) + for(int j=1; j< n-1; ++j) + W[i][j]=Z[i][j]+(dt/dx^2)*(Z[i+1][j]+Z[i-1][j]+Z[i][j-1]+Z[i][j+1] + -4*Z[i][j]); + for(int i=0; i < n; ++i) + for(int j=0; j < n; ++j) + Z[i][j]=W[i][j]; + }; +} + +pen[] Pal=Rainbow(96); + +int endframe=40; + +for(int fr=0; fr < endframe; ++fr) { + if(fr == 0) {// smoothing of initial state; no Spline, but full grid + advanceZ(3); + sf=surface(f,(-L,-L),(L,L),nx=n); + } else // use Spline and fewer grid points to save memory + sf=surface(f,(-L,-L),(L,L),nx=round(n/2),Spline); + sf.colors(palette(sf.map(zpart),Pal[0:round(48*max(sf).z)])); + draw(sf); + a.add(); + erase(); + advanceZ(30); +}; + +label(a.pdf(delay=400,"controls,loop")); +shipout(bbox(3mm,darkblue+3bp+miterjoin,FillDraw(fillpen=paleblue)),"pdf"); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/inlinemovie.tex b/Master/texmf-dist/doc/asymptote/examples/animations/inlinemovie.tex new file mode 100644 index 00000000000..5f1eff9d4bb --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/inlinemovie.tex @@ -0,0 +1,55 @@ +\documentclass{article} +\usepackage[inline]{asymptote} +%\usepackage{asymptote} +\usepackage{animate} +\begin{document} + +Here is an inline PDF movie, generated with the commands +\begin{verbatim} +pdflatex inlinemovie +asy inlinemovie-*.asy +pdflatex inlinemovie +\end{verbatim} +or equivalently, +\begin{verbatim} +latexmk -pdf inlinemovie +\end{verbatim} + +\begin{center} +\begin{asy} +import animate; +animation A=animation("movie1"); +real h=2pi/10; + +picture pic; +unitsize(pic,2cm); +for(int i=0; i < 10; ++i) { + draw(pic,expi(i*h)--expi((i+1)*h)); + A.add(pic); +} +label(A.pdf("controls",delay=50,keep=!settings.inlinetex)); +\end{asy} +%Uncomment the following line when not using the [inline] package option: +%\ASYanimategraphics[controls]{50}{movie1}{}{} +\end{center} + +And here is another one, clickable but without the control panel: +\begin{center} +\begin{asy} +import animate; +animation A=animation("movie2"); +real h=2pi/10; + +picture pic; +unitsize(pic,2cm); +for(int i=0; i < 10; ++i) { + draw(pic,expi(-i*h)--expi(-(i+1)*h),red); + A.add(pic); +} +label(A.pdf(keep=!settings.inlinetex)); +\end{asy} +%Uncomment the following line when not using the [inline] package option: +%\ASYanimategraphics[controls]{10}{movie2}{}{} +\end{center} + +\end{document} diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/inlinemovie3.tex b/Master/texmf-dist/doc/asymptote/examples/animations/inlinemovie3.tex new file mode 100644 index 00000000000..5131c652a11 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/inlinemovie3.tex @@ -0,0 +1,44 @@ +\documentclass{article} +\usepackage[inline]{asymptote} +%\usepackage{asymptote} +\usepackage{animate} +\begin{document} + +Here is an inline 3D PDF movie, generated with the commands +\begin{verbatim} +pdflatex inlinemovie3 +asy inlinemovie3-*.asy +pdflatex inlinemovie3 +\end{verbatim} +or equivalently, +\begin{verbatim} +latexmk -pdf inlinemovie3 +\end{verbatim} + +\begin{center} +\begin{asy} +settings.render=4; +settings.prc=false; + +import graph3; +import animate; +currentprojection=orthographic(1,-2,0.5); + +animation A=animation("movie3"); +int n=20; +for(int i=0; i < n; ++i) { + picture pic; + size3(pic,12cm,12cm,8cm); + real k=i/n*pi; + real f(pair z) {return 4cos(abs(z)-k)*exp(-abs(z)/6);} + draw(pic,surface(f,(-4pi,-4pi),(4pi,4pi),Spline),paleblue); + draw(pic,shift(i*6Z/n)*unitsphere,yellow); + A.add(pic); +} +label(A.pdf("autoplay,loop",delay=20,keep=!settings.inlinetex)); +\end{asy} +%Uncomment the following line when not using the [inline] package option: +%\ASYanimategraphics[autoplay,loop]{50}{movie3}{}{} +\end{center} +\end{document} + diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/pdfmovie.asy b/Master/texmf-dist/doc/asymptote/examples/animations/pdfmovie.asy new file mode 100644 index 00000000000..0f9cbc96445 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/pdfmovie.asy @@ -0,0 +1,20 @@ +import animate; +import patterns; + +settings.tex="pdflatex"; + +animation a; + +add("brick",brick(black)); + +int n=20; +for(int i=0; i < 3.5n; ++i) { + picture pic; + size(pic,100); + path g=circle((0,sin(pi/n*i)),1); + fill(pic,g,mediumred); + fill(pic,g,pattern("brick")); + a.add(pic); +} + +label(a.pdf("controls",multipage=false)); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/slidemovies.asy b/Master/texmf-dist/doc/asymptote/examples/animations/slidemovies.asy new file mode 100644 index 00000000000..205f94fbc85 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/slidemovies.asy @@ -0,0 +1,47 @@ +// Slide demo. +// Command-line options to enable stepping and/or reverse video: +// asy [-u stepping=true] [-u reverse=true] slidedemo + +orientation=Landscape; + +settings.tex="pdflatex"; + +import slide; + +// Optional movie modules: +import animate; // For portable embedded PDF movies +access external; // For portable external movies +access embed; // For non-portable embedded movies + +usersetting(); + +titlepage("Slides with {\tt Asymptote}: Animations","John C. Bowman", + "University of Alberta","\today","http://asymptote.sf.net"); + +title("Embedded PDF movies (portable)"); +animation a=animation("A"); +animation b=animation("B"); +int n=20; +for(int i=0; i < 2n; ++i) { + picture pic; + size(pic,100); + draw(pic,shift(0,sin(pi/n*i))*unitsquare); + a.add(pic); + if(i < 1.5n) b.add(rotate(45)*pic); +} +display(a.pdf("autoplay,loop,controls",multipage=false)); +display(b.pdf("controls",multipage=false)); + +// Generated needed files if they don't already exist. +asy("mpg","wheel"); + +title("External Movie (portable)"); +display(external.embed("wheel.mpg", + "poster,text=wheel.mpg,label=wheel.mpg",20cm,5.6cm)); +display(external.link("wheel.mpg","Play","play")); + +title("Embedded Movie (not portable)"); +display(embed.embed("wheel.mpg", + "poster,text=wheel.mpg,label=wheel.mpg", + 20cm,5.6cm)); +display(embed.link("wheel.mpg","Play","play")); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/sphere.asy b/Master/texmf-dist/doc/asymptote/examples/animations/sphere.asy new file mode 100644 index 00000000000..125cecc5566 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/sphere.asy @@ -0,0 +1,42 @@ +import solids; +import animation; + +currentprojection=orthographic((0,5,2)); +currentlight=(0,5,5); + +settings.thick=false; +settings.render=0; + +int nbpts=200; +real step=2*pi/nbpts; +int angle=10; + +unitsize(1cm); + +triple[] P=new triple[nbpts]; +for(int i=0; i < nbpts; ++i) { + real t=-pi+i*step; + P[i]=(3sin(t)*cos(2t),3sin(t)*sin(2t),3cos(t)); +} + +transform3 t=rotate(angle,(0,0,0),(1,0.25,0.25)); +revolution r=sphere(O,3); +draw(surface(r),lightgrey); +draw(r,backpen=linetype("8 8",8)); + +animation A; + +for(int phi=0; phi < 360; phi += angle) { + bool[] front=new bool[nbpts]; + save(); + for(int i=0; i < nbpts; ++i) { + P[i]=t*P[i]; + front[i]=dot(P[i],currentprojection.camera) > 0; + } + draw(segment(P,front,operator ..),1mm+blue+extendcap); + draw(segment(P,!front,operator ..),grey); + A.add(); + restore(); +} + +A.movie(0,200); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/torusanimation.asy b/Master/texmf-dist/doc/asymptote/examples/animations/torusanimation.asy new file mode 100644 index 00000000000..74a5df43278 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/torusanimation.asy @@ -0,0 +1,43 @@ +import graph3; +import animation; +import solids; + +currentprojection=perspective(50,40,20); + +currentlight=(0,5,5); + +real R=3; +real a=1; +int n=8; + +path3[] p=new path3[n]; +animation A; + +for(int i=0; i < n; ++i) { + triple g(real s) { + real twopi=2*pi; + real u=twopi*s; + real v=twopi/(1+i+s); + real cosu=cos(u); + return((R-a*cosu)*cos(v),(R-a*cosu)*sin(v),-a*sin(u)); + } + p[i]=graph(g,0,1,operator ..); +} + +triple f(pair t) { + real costy=cos(t.y); + return((R+a*costy)*cos(t.x),(R+a*costy)*sin(t.x),a*sin(t.y)); +} + +surface s=surface(f,(0,0),(2pi,2pi),8,8,Spline); + +for(int i=0; i < n; ++i){ + picture fig; + size(fig,20cm); + draw(fig,s,yellow); + for(int j=0; j <= i; ++j) + draw(fig,p[j],blue+linewidth(4)); + A.add(fig); +} + +A.movie(BBox(10,Fill(rgb(0.98,0.98,0.9))),delay=100); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/wavepacket.asy b/Master/texmf-dist/doc/asymptote/examples/animations/wavepacket.asy new file mode 100644 index 00000000000..006fbce1543 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/wavepacket.asy @@ -0,0 +1,86 @@ +// Author : Philippe Ivaldi +// http://www.piprime.fr/ +// 2006/11/10 + +import animation; +import graph; + +unitsize(x=2cm,y=1.5cm); + +typedef real realfcn(real); + +real lambda=4; +real T=2; +real [] k=new real[3]; +real [] w=new real[3]; +k[0]=2pi/lambda; +w[0]=2pi/T; +real dk=-.5; +k[1]=k[0]-dk; +k[2]=k[0]+dk; +real dw=1; +w[1]=w[0]-dw; +w[2]=w[0]+dw; + +real vp=w[1]/k[1]; +real vg=dw/dk; + +realfcn F(real x) { + return new real(real t) { + return cos(k[1]*x-w[1]*t)+cos(k[2]*x-w[2]*t); + }; +}; + +realfcn G(real x) { + return new real(real t) { + return 2*cos(0.5*(k[2]-k[1])*x+0.5*(w[1]-w[2])*t); + }; +}; + +realfcn operator -(realfcn f) {return new real(real t) {return -f(t);};}; + +animation A; + +real tmax=abs(2pi/dk); +real xmax=abs(2pi/dw); + +pen envelope=0.8*blue; +pen fillpen=lightgrey; + +int n=50; +real step=tmax/(n-1); +for(int i=0; i < n; ++i) { + save(); + real t=i*step; + real a=xmax*t/tmax-xmax/pi; + real b=xmax*t/tmax; + path f=graph(F(t),a,b); + path g=graph(G(t),a,b); + path h=graph(-G(t),a,b); + fill(buildcycle(reverse(f),g),fillpen); + draw(f); + draw(g,envelope); + draw(h,envelope); + A.add(); + restore(); +} + +for(int i=0; i < n; ++i) { + save(); + real t=i*step; + real a=-xmax/pi; + real b=xmax; + path f=graph(F(t),a,b); + path g=graph(G(t),a,b); + path h=graph(-G(t),a,b); + path B=box((-xmax/pi,-2),(xmax,2)); + fill(buildcycle(reverse(f),g,B),fillpen); + fill(buildcycle(f,g,reverse(B)),fillpen); + draw(f); + draw(g,envelope); + draw(h,envelope); + A.add(); + restore(); +} + +A.movie(0,10); diff --git a/Master/texmf-dist/doc/asymptote/examples/animations/wheel.asy b/Master/texmf-dist/doc/asymptote/examples/animations/wheel.asy new file mode 100644 index 00000000000..6620d590850 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/animations/wheel.asy @@ -0,0 +1,63 @@ +import graph; + +// Uncomment the following 2 lines to support pdf animations: +// usepackage("animate"); +// settings.tex="pdflatex"; + +import animation; + +size(0,200); + +defaultpen(3); +dotfactor=4; + +pair wheelpoint(real t) +{ + return (t+cos(t),-sin(t)); +} + +guide wheel(guide g=nullpath, real a, real b, int n) +{ + real width=(b-a)/n; + for(int i=0; i <= n; ++i) { + real t=a+width*i; + g=g--wheelpoint(t); + } + return g; +} + +real t1=0; +real t2=t1+2*pi; + +animation a; + +draw(circle((0,0),1)); +draw(wheel(t1,t2,100),linetype("0 2")); +yequals(Label("$y=-1$",1.0),-1,extend=true,linetype("4 4")); +xaxis(Label("$x$",align=3SW),0); +yaxis("$y$",0,1.2); +pair z1=wheelpoint(t1); +pair z2=wheelpoint(t2); +dot(z1); +dot(z2); + +int n=10; +real dt=(t2-t1)/n; +for(int i=0; i <= n; ++i) { + save(); + + real t=t1+dt*i; + draw(circle((t,0),1),red); + dot(wheelpoint(t)); + + a.add(); // Add currentpicture to animation. + restore(); +} + +erase(); + +// Merge the images into a gif animation. +a.movie(BBox(0.25cm),loops=10,delay=250); + +// Merge the images into a pdf animation. +// label(a.pdf(BBox(0.25cm),delay=250,"controls",multipage=false)); diff --git a/Master/texmf-dist/doc/asymptote/examples/annotation.asy b/Master/texmf-dist/doc/asymptote/examples/annotation.asy new file mode 100644 index 00000000000..d52e15b4f76 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/annotation.asy @@ -0,0 +1,13 @@ +import annotate; +settings.outformat="pdf"; + +size(200); + +draw(unitcircle); +dot((0,0)); +annotate("O","(0,0)",(0,0)); +annotate("A","(1,0)",(1,0)); +annotate("B","(0,1)",(0,1)); +annotate("C","(-1,0)",(-1,0)); +annotate("D","(0,-1)",(0,-1)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/arrows3.asy b/Master/texmf-dist/doc/asymptote/examples/arrows3.asy new file mode 100644 index 00000000000..57fc4b3d338 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/arrows3.asy @@ -0,0 +1,22 @@ +import three; + +size(15cm); + +defaultrender.merge=true; + +currentprojection=perspective(24,14,13); +currentlight=light(gray(0.5),specularfactor=3,viewport=false, + (0.5,-0.5,-0.25),(0.5,0.5,0.25),(0.5,0.5,1),(-0.5,-0.5,-1)); + +defaultpen(0.75mm); + +path3 g=arc(O,1,90,-60,90,60); +transform3 t=shift(invert(3S,O)); + +draw(g,blue,Arrows3(TeXHead3),currentlight); +draw(scale3(3)*g,green,ArcArrows3(HookHead3),currentlight); +draw(scale3(6)*g,red,Arrows3(DefaultHead3),currentlight); + +draw(t*g,blue,Arrows3(TeXHead2),currentlight); +draw(t*scale3(3)*g,green,ArcArrows3(HookHead2,NoFill),currentlight); +draw(t*scale3(6)*g,red,Arrows3(DefaultHead2(normal=Z)),currentlight); diff --git a/Master/texmf-dist/doc/asymptote/examples/axis3.asy b/Master/texmf-dist/doc/asymptote/examples/axis3.asy new file mode 100644 index 00000000000..90cbdc6ad09 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/axis3.asy @@ -0,0 +1,12 @@ +import graph3; + +size(0,200); +size3(200,IgnoreAspect); + +currentprojection=perspective(5,2,2); + +scale(Linear,Linear,Log); + +xaxis3("$x$",0,1,red,OutTicks(2,2)); +yaxis3("$y$",0,1,red,OutTicks(2,2)); +zaxis3("$z$",1,30,red,OutTicks(beginlabel=false)); diff --git a/Master/texmf-dist/doc/asymptote/examples/bars3.asy b/Master/texmf-dist/doc/asymptote/examples/bars3.asy new file mode 100644 index 00000000000..4205d46f37c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/bars3.asy @@ -0,0 +1,22 @@ +import three; +import palette; +import graph3; + +size(300); + +currentprojection=perspective(-30,-30,30,up=Z); + +surface s; + +for(int i = 0; i < 10; ++i) { + for(int j = 0; j < 10; ++j) { + s.append(shift(i,j,0)*scale(1,1,i+j)*unitcube); + } +} + +s.colors(palette(s.map(zpart),Rainbow())); +draw(s,meshpen=black+thick(),nolight,render(merge=true)); + +xaxis3("$x$",Bounds,InTicks(endlabel=false,Label,2,2)); +yaxis3(YZ()*"$y$",Bounds,InTicks(beginlabel=false,Label,2,2)); +zaxis3(XZ()*"$z$",Bounds,InTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/basealign.asy b/Master/texmf-dist/doc/asymptote/examples/basealign.asy new file mode 100644 index 00000000000..d653ec3c043 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/basealign.asy @@ -0,0 +1,44 @@ +import fontsize; +import three; + +settings.autobillboard=false; +settings.embed=false; +currentprojection=orthographic(Z); + +defaultpen(fontsize(100pt)); + +dot(O); + +label("acg",O,align=N,basealign); +label("ace",O,align=N,red); +label("acg",O,align=S,basealign); +label("ace",O,align=S,red); +label("acg",O,align=E,basealign); +label("ace",O,align=E,red); +label("acg",O,align=W,basealign); +label("ace",O,align=W,red); + +picture pic; +dot(pic,(labelmargin(),0,0),blue); +dot(pic,(-labelmargin(),0,0),blue); +dot(pic,(0,labelmargin(),0),blue); +dot(pic,(0,-labelmargin(),0),blue); +add(pic,O); + +dot((0,0)); + +label("acg",(0,0),align=N,basealign); +label("ace",(0,0),align=N,red); +label("acg",(0,0),align=S,basealign); +label("ace",(0,0),align=S,red); +label("acg",(0,0),align=E,basealign); +label("ace",(0,0),align=E,red); +label("acg",(0,0),align=W,basealign); +label("ace",(0,0),align=W,red); + +picture pic; +dot(pic,(labelmargin(),0),blue); +dot(pic,(-labelmargin(),0),blue); +dot(pic,(0,labelmargin()),blue); +dot(pic,(0,-labelmargin()),blue); +add(pic,(0,0)); diff --git a/Master/texmf-dist/doc/asymptote/examples/bezier.asy b/Master/texmf-dist/doc/asymptote/examples/bezier.asy new file mode 100644 index 00000000000..1c168042c05 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/bezier.asy @@ -0,0 +1 @@ +label("$(1-t)^3z_0+3t(1-t)^2c_0+3t^2(1-t)c_1+t^3z_1\qquad 0\le t\le 1$.",(0,0)); diff --git a/Master/texmf-dist/doc/asymptote/examples/bezier2.asy b/Master/texmf-dist/doc/asymptote/examples/bezier2.asy new file mode 100644 index 00000000000..745fb649dd1 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/bezier2.asy @@ -0,0 +1,21 @@ +import beziercurve; + +pair midpoint(pair a, pair b) {return interp(a,b,0.5);} + +pair m0=midpoint(z0,c0); +pair m1=midpoint(c0,c1); +pair m2=midpoint(c1,z1); + +draw(m0--m1--m2,dashed); +dot("$m_0$",m0,NW,red); +dot("$m_1$",m1,N,red); +dot("$m_2$",m2,red); + +pair m3=midpoint(m0,m1); +pair m4=midpoint(m1,m2); +pair m5=midpoint(m3,m4); + +draw(m3--m4,dashed); +dot("$m_3$",m3,NW,red); +dot("$m_4$",m4,NE,red); +dot("$m_5$",m5,N,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/beziercurve.asy b/Master/texmf-dist/doc/asymptote/examples/beziercurve.asy new file mode 100644 index 00000000000..338109bbd6e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/beziercurve.asy @@ -0,0 +1,12 @@ +size(400); +pair z0=(0,0); +pair c0=(1,1); +pair c1=(2,1); +pair z1=(3,0); +draw(z0..controls c0 and c1 .. z1,blue); + +draw(z0--c0--c1--z1,dashed); +dot("$z_0$",z0,W,red); +dot("$c_0$",c0,NW,red); +dot("$c_1$",c1,NE,red); +dot("$z_1$",z1,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/bigdiagonal.asy b/Master/texmf-dist/doc/asymptote/examples/bigdiagonal.asy new file mode 100644 index 00000000000..7242b7ae845 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/bigdiagonal.asy @@ -0,0 +1,2 @@ +size(0,100.5); +draw((0,0)--(2,1),Arrow); diff --git a/Master/texmf-dist/doc/asymptote/examples/billboard.asy b/Master/texmf-dist/doc/asymptote/examples/billboard.asy new file mode 100644 index 00000000000..6e5df871007 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/billboard.asy @@ -0,0 +1,10 @@ +import three; + +size(100); + +currentprojection=perspective(1,-2,1); + +draw(unitbox); + +label("Billboard",X,red,Billboard); +label("Embedded",Y,blue,Embedded); diff --git a/Master/texmf-dist/doc/asymptote/examples/binarytreetest.asy b/Master/texmf-dist/doc/asymptote/examples/binarytreetest.asy new file mode 100644 index 00000000000..0078bb749e0 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/binarytreetest.asy @@ -0,0 +1,13 @@ +import binarytree; + +picture pic,pic2; + +binarytree bt=binarytree(1,2,4,nil,5,nil,nil,0,nil,nil,3,6,nil,nil,7); +draw(pic,bt); + +binarytree st=searchtree(10,5,2,1,3,4,7,6,8,9,15,13,12,11,14,17,16,18,19); +draw(pic2,st,blue); + +add(pic.fit(),(0,0),10N); +add(pic2.fit(),(0,0),10S); + diff --git a/Master/texmf-dist/doc/asymptote/examples/brokenaxis.asy b/Master/texmf-dist/doc/asymptote/examples/brokenaxis.asy new file mode 100644 index 00000000000..9de9fa414d3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/brokenaxis.asy @@ -0,0 +1,25 @@ +import graph; + +size(200,150,IgnoreAspect); + +// Break the x axis at 3; restart at 8: +real a=3, b=8; + +// Break the y axis at 100; restart at 1000: +real c=100, d=1000; + +scale(Broken(a,b),BrokenLog(c,d)); + +real[] x={1,2,4,6,10}; +real[] y=x^4; + +draw(graph(x,y),red,MarkFill[0]); + +xaxis("$x$",BottomTop,LeftTicks(Break(a,b))); +yaxis("$y$",LeftRight,RightTicks(Break(c,d))); + +label(rotate(90)*Break,(a,point(S).y)); +label(rotate(90)*Break,(a,point(N).y)); +label(Break,(point(W).x,ScaleY(c))); +label(Break,(point(E).x,ScaleY(c))); + diff --git a/Master/texmf-dist/doc/asymptote/examples/buildcycle.asy b/Master/texmf-dist/doc/asymptote/examples/buildcycle.asy new file mode 100644 index 00000000000..e4e7f8c7c96 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/buildcycle.asy @@ -0,0 +1,22 @@ +size(200); + +real w=1.35; + +path[] p; +for(int k=0; k < 2; ++k) { + int i=2+2*k; + int ii=i^2; + p[k]=(w/ii,1){1,-ii}::(w/i,1/i)::(w,1/ii){ii,-1}; +} + +path q0=(0,0)--(w,0.5); +path q1=(0,0)--(w,1.5); +draw(q0); draw(p[0]); draw(q1); draw(p[1]); +path s=buildcycle(q0,p[0],q1,p[1]); +fill(s,mediumgrey); + +label("$P$",intersectionpoint(p[0],q0),N); +label("$Q$",intersectionpoint(p[0],q1),E); +label("$R$",intersectionpoint(p[1],q1),W); +label("$S$",intersectionpoint(p[1],q0),S); +label("$f > 0$",0.5*(min(s)+max(s)),UnFill); diff --git a/Master/texmf-dist/doc/asymptote/examples/cardioid.asy b/Master/texmf-dist/doc/asymptote/examples/cardioid.asy new file mode 100644 index 00000000000..49a3c55207e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cardioid.asy @@ -0,0 +1,15 @@ +import graph; + +size(0,100); + +real f(real t) {return 1+cos(t);} + +path g=polargraph(f,0,2pi,operator ..)--cycle; +filldraw(g,pink); + +xaxis("$x$",above=true); +yaxis("$y$",above=true); + +dot("$(a,0)$",(1,0),N); +dot("$(2a,0)$",(2,0),N+E); + diff --git a/Master/texmf-dist/doc/asymptote/examples/cards.asy b/Master/texmf-dist/doc/asymptote/examples/cards.asy new file mode 100644 index 00000000000..337a886ec86 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cards.asy @@ -0,0 +1,26 @@ +picture rect; + +size(rect,0,2.5cm); + +real x=1; +real y=1.25; + +filldraw(rect,box((-x,-y)/2,(x,y)/2),lightolive); + +label(rect,"1",(-x,y)*0.45,SE); +label(rect,"2",(x,y)*0.45,SW); +label(rect,"3",(-x,-y)*0.45,NE); +label(rect,"4",(x,-y)*0.45,NW); + +frame rectf=rect.fit(); +frame toplef=rectf; +frame toprig=xscale(-1)*rectf; +frame botlef=yscale(-1)*rectf; +frame botrig=xscale(-1)*yscale(-1)*rectf; + +size(0,7.5cm); + +add(toplef,(-x,y)); +add(toprig,(x,y)); +add(botlef,(-x,-y)); +add(botrig,(x,-y)); diff --git a/Master/texmf-dist/doc/asymptote/examples/centroidfg.asy b/Master/texmf-dist/doc/asymptote/examples/centroidfg.asy new file mode 100644 index 00000000000..2e26454cdbe --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/centroidfg.asy @@ -0,0 +1,38 @@ +import graph; +size(0,150); + +int a=-1, b=1; + +real f(real x) {return x^3-x+2;} +real g(real x) {return x^2;} + +draw(graph(f,a,b,operator ..),red); +draw(graph(g,a,b,operator ..),blue); + +xaxis(); + +int n=5; + +real width=(b-a)/(real) n; +for(int i=0; i <= n; ++i) { + real x=a+width*i; + draw((x,g(x))--(x,f(x))); +} + +labelx("$a$",a); +labelx("$b$",b); +draw((a,0)--(a,g(a)),dotted); +draw((b,0)--(b,g(b)),dotted); + +real m=a+0.73*(b-a); +arrow("$f(x)$",(m,f(m)),N,red); +arrow("$g(x)$",(m,g(m)),E,0.8cm,blue); + +int j=2; +real xi=b-j*width; +real xp=xi+width; +real xm=0.5*(xi+xp); +pair dot=(xm,0.5*(f(xm)+g(xm))); +dot(dot,darkgreen+4.0); +arrow("$\left(x,\frac{f(x)+g(x)}{2}\right)$",dot,NE,2cm,darkgreen); + diff --git a/Master/texmf-dist/doc/asymptote/examples/cheese.asy b/Master/texmf-dist/doc/asymptote/examples/cheese.asy new file mode 100644 index 00000000000..9a16e4130dc --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cheese.asy @@ -0,0 +1,12 @@ +import graph3; +import palette; +import contour3; +size(400); + +real f(real x, real y, real z) { + return cos(x)*sin(y)+cos(y)*sin(z)+cos(z)*sin(x); +} + +surface sf=surface(contour3(f,(-2pi,-2pi,-2pi),(2pi,2pi,2pi),12)); +sf.colors(palette(sf.map(abs),Gradient(red,yellow))); +draw(sf,nolight,render(merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/circles.asy b/Master/texmf-dist/doc/asymptote/examples/circles.asy new file mode 100644 index 00000000000..69f5cf244a4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/circles.asy @@ -0,0 +1,33 @@ +size(6cm,0); +import math; + +currentpen=magenta; + +real r1=1; +real r2=sqrt(7); +real r3=4; +pair O=0; + +path c1=circle(O,r1); +draw(c1,green); +draw(circle(O,r2),green); +draw(circle(O,r3),green); + +real x=-0.6; +real y=-0.8; +real yD=0.3; +pair A=(sqrt(r1^2-y^2),y); +pair B=(-sqrt(r2^2-y^2),y); +pair C=(x,sqrt(r3^2-x^2)); + +pair d=A+r2*dir(B--C); +pair D=intersectionpoint(c1,A--d); + +draw(A--B--C--cycle); +draw(interp(A,D,-0.5)--interp(A,D,1.5),blue); + +dot("$O$",O,S,red); +dot("$A$",A,dir(C--A,B--A),red); +dot("$B$",B,dir(C--B,A--B),red); +dot("$C$",C,dir(A--C,B--C),red); +dot("$D$",D,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/clockarray.asy b/Master/texmf-dist/doc/asymptote/examples/clockarray.asy new file mode 100644 index 00000000000..be7fd899a0e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/clockarray.asy @@ -0,0 +1,39 @@ +int nx=3; +int ny=4; +real xmargin=1cm; +real ymargin=xmargin; + +size(settings.paperwidth,settings.paperheight); + +picture pic; +real width=settings.paperwidth/nx-xmargin; +real height=settings.paperheight/ny-ymargin; +if(width <= 0 || height <= 0) abort("margin too big"); +size(pic,width,height); + +pen p=linewidth(0.5mm); +draw(pic,unitcircle,p); + +real h=0.08; +real m=0.05; + +for(int hour=1; hour <= 12; ++hour) { + pair z=dir((12-hour+3)*30); + label(pic,string(hour),z,z); + draw(pic,z--(1-h)*z,p); +} + +for(int minutes=0; minutes < 60; ++minutes) { + pair z=dir(6*minutes); + draw(pic,z--(1-m)*z); +} + +dot(pic,(0,0)); + +frame f=pic.fit(); +pair size=size(f)+(xmargin,ymargin); + +for(int i=0; i < nx; ++i) + for(int j=0; j < ny; ++j) + add(shift(realmult(size,(i,j)))*f); + diff --git a/Master/texmf-dist/doc/asymptote/examples/coag.asy b/Master/texmf-dist/doc/asymptote/examples/coag.asy new file mode 100644 index 00000000000..de976cb145b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/coag.asy @@ -0,0 +1,16 @@ +size(0,200); +import graph; + +pair z0=(0,0); +pair m0=(0,1); +pair tg=(1.5,0); +pair mt=m0+tg; +pair tf=(3,0); + +draw(m0--mt{dir(-70)}..{dir(0)}2tg+m0/4); +xtick("$T_g$",tg,N); +label("$M(t)$",mt,2NE); +labely("$M_0$",m0); + +xaxis(Label("$t$",align=2S),Arrow); +yaxis(Arrow); diff --git a/Master/texmf-dist/doc/asymptote/examples/colons.asy b/Master/texmf-dist/doc/asymptote/examples/colons.asy new file mode 100644 index 00000000000..3cdb6b42962 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/colons.asy @@ -0,0 +1 @@ +draw((0,0){up}::(100,25){right}::(200,0){down}); diff --git a/Master/texmf-dist/doc/asymptote/examples/colorplanes.asy b/Master/texmf-dist/doc/asymptote/examples/colorplanes.asy new file mode 100644 index 00000000000..16bef25b545 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/colorplanes.asy @@ -0,0 +1,22 @@ +size(6cm,0); +import bsp; + +real u=2.5; +real v=1; + +currentprojection=oblique; + +path3 y=plane((2u,0,0),(0,2v,0),(-u,-v,0)); +path3 l=rotate(90,Z)*rotate(90,Y)*y; +path3 g=rotate(90,X)*rotate(90,Y)*y; + +face[] faces; +pen[] p={red,green,blue,black}; +int[] edges={0,0,0,2}; +gouraudshade(faces.push(y),project(y),p,edges); +gouraudshade(faces.push(l),project(l),p,edges); +gouraudshade(faces.push(g),project(g),new pen[]{cyan,magenta,yellow,black}, + edges); + +add(faces); + diff --git a/Master/texmf-dist/doc/asymptote/examples/colors.asy b/Master/texmf-dist/doc/asymptote/examples/colors.asy new file mode 100644 index 00000000000..ea576379deb --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/colors.asy @@ -0,0 +1,116 @@ +int i=0; +int j=0; + +bool components=false; + +pen p; + +void col(bool fill=false ... string[] s) { + for(int n=0; n < s.length; ++n) { + j -= 10; + string s=s[n]; + eval("p="+s+";",true); + if(components) { + real[] a=colors(p); + for(int i=0; i < a.length; ++i) + s += " "+(string) a[i]; + } + if(fill) label(s,(i+10,j),E,p,Fill(gray)); + else label(s,(i+10,j),E,p); + fill(box((i,j-5),(i+10,j+5)),p); + } +} + +col("palered"); +col("lightred"); +col("mediumred"); +col("red"); +col("heavyred"); +col("brown"); +col("darkbrown"); +j -= 10; + +col("palegreen"); +col("lightgreen"); +col("mediumgreen"); +col("green"); +col("heavygreen"); +col("deepgreen"); +col("darkgreen"); +j -= 10; + +col("paleblue"); +col("lightblue"); +col("mediumblue"); +col("blue"); +col("heavyblue"); +col("deepblue"); +col("darkblue"); +j -= 10; + +i += 150; +j=0; + +col("palecyan"); +col("lightcyan"); +col("mediumcyan"); +col("cyan"); +col("heavycyan"); +col("deepcyan"); +col("darkcyan"); +j -= 10; + +col("pink"); +col("lightmagenta"); +col("mediummagenta"); +col("magenta"); +col("heavymagenta"); +col("deepmagenta"); +col("darkmagenta"); +j -= 10; + +col("paleyellow"); +col("lightyellow"); +col("mediumyellow"); +col("yellow"); +col("lightolive"); +col("olive"); +col("darkolive"); +j -= 10; + +col("palegray"); +col("lightgray"); +col("mediumgray"); +col("gray"); +col("heavygray"); +col("deepgray"); +col("darkgray"); +j -= 10; + +i += 150; +j=0; + +col("black"); +col("white",fill=true); +j -= 10; + +col("orange"); +col("fuchsia"); +j -= 10; +col("chartreuse"); +col("springgreen"); +j -= 10; +col("purple"); +col("royalblue"); +j -= 10; + +col("Cyan"); +col("Magenta"); +col("Yellow"); +col("Black"); + +j -= 10; + +col("cmyk(red)"); +col("cmyk(blue)"); +col("cmyk(green)"); diff --git a/Master/texmf-dist/doc/asymptote/examples/condor.asy b/Master/texmf-dist/doc/asymptote/examples/condor.asy new file mode 100644 index 00000000000..5ce5caa2412 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/condor.asy @@ -0,0 +1,32 @@ +// Peter Luschny's Condor function +// http://www.luschny.de/math/asy/ElCondorYElGamma.html + +import palette; +import graph3; + +size(300,300,IgnoreAspect); +currentprojection=orthographic(0,-1,0,center=true); +currentlight=White; +real K=7; + +triple condor(pair t) +{ + real y=t.y; + real x=t.x*y; + real e=gamma(y+1); + real ymx=y-x; + real ypx=y+x; + real a=gamma((ymx+1)/2); + real b=gamma((ymx+2)/2); + real c=gamma((ypx+1)/2); + real d=gamma((ypx+2)/2); + real A=cos(pi*ymx); + real B=cos(pi*ypx); + return (x,y,log(e)+log(a)*((A-1)/2)+log(b)*((-A-1)/2)+log(c)*((B-1)/2)+ + log(d)*((-B-1)/2)); +} + +surface s=surface(condor,(-1,0),(1,K),16,Spline); +s.colors(palette(s.map(zpart),Rainbow())); + +draw(s,render(compression=Low,merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/cones.asy b/Master/texmf-dist/doc/asymptote/examples/cones.asy new file mode 100644 index 00000000000..e63a4281251 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cones.asy @@ -0,0 +1,18 @@ +import solids; + +size(200); +currentprojection=orthographic(5,4,2); + +render render=render(compression=Low,merge=true); + +revolution upcone=cone(-Z,1,1); +revolution downcone=cone(Z,1,-1); +draw(surface(upcone),green,render); +draw(surface(downcone),green,render); +draw(upcone,5,blue,longitudinalpen=nullpen); +draw(downcone,5,blue,longitudinalpen=nullpen); + +revolution cone=shift(2Y-2X)*cone(1,1); + +draw(surface(cone),green,render); +draw(cone,5,blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/conicurv.asy b/Master/texmf-dist/doc/asymptote/examples/conicurv.asy new file mode 100644 index 00000000000..cb678710c11 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/conicurv.asy @@ -0,0 +1,49 @@ +// Original name : conicurv.mp +// Author : L. Nobre G. +// Translators : J. Pienaar (2004) and John Bowman (2005) + +import three; +texpreamble("\usepackage{bm}"); + +size(300,0); + +currentprojection=perspective(10,-5,5.44); + +real theta=30, width=3, shortradius=2, bord=2, refsize=1, vecsize=2; +real height=0.3, anglar=1.75, totup=3; +real longradius=shortradius+width*Cos(theta), updiff=width*Sin(theta); + +triple iplow=(0,shortradius,0), iphig=(0,longradius,updiff); +triple oplow=(-shortradius,0,0), ophig=(-longradius,0,updiff); +triple aplow=-iplow, aphig=(0,-longradius,updiff); +triple eplow=-oplow, ephig=(longradius,0,updiff); +triple anglebase=(0,longradius,0), centre=interp(iplow,iphig,0.5)+(0,0,height); +triple central=(0,0,centre.z), refo=(0,0.5*centre.y,centre.z); +triple refx=refsize*(0,Cos(theta),Sin(theta)); +triple refy=refsize*(0,-Sin(theta),Cos(theta)); + +draw("$\theta$",arc(iplow,iplow+0.58*(iphig-iplow),anglebase),E); + +draw(central,linewidth(2bp)); +draw(iplow--iphig); +draw(oplow--ophig); +draw(aplow--aphig); +draw(eplow--ephig); +draw(iphig--anglebase--aplow,dashed); +draw(oplow--eplow,dashed); +draw(central--centre,dashed); + +draw((0,0,-bord)--(0,longradius+bord,-bord)--(0,longradius+bord,totup) + --(0,0,totup)--cycle); +draw(Label("$y$",1),refo--refo+refy,SW,Arrow3); +draw(Label("$x$",1),refo--refo+refx,SE,Arrow3); + +draw(Label("$\vec{R}_N$",1),centre--centre+vecsize*refy,E,Arrow3); +draw(Label("$\vec{F}_a$",1),centre--centre+vecsize*refx,N,Arrow3); +draw(Label("$\vec{F}_c$",1),centre--centre+vecsize*Y,NE,Arrow3); +draw(Label("$\vec{P}$",1),centre--centre-vecsize*Z,E,Arrow3); +draw(Label("$\vec{v}$",1),centre--centre+vecsize*X,E,Arrow3); +draw(centre,10pt+blue); + +draw(circle((0,0,updiff),longradius),linewidth(2bp)); +draw(circle(O,shortradius),linewidth(2bp)); diff --git a/Master/texmf-dist/doc/asymptote/examples/contextfonts.asy b/Master/texmf-dist/doc/asymptote/examples/contextfonts.asy new file mode 100644 index 00000000000..39177abdba3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/contextfonts.asy @@ -0,0 +1,10 @@ +settings.tex="context"; +// Work around ConTeXT bug for font sizes less than 12pt: +texpreamble("\setupbodyfont[8pt]"); + +usetypescript("iwona"); +usetypescript("antykwa-torunska"); + +label("$A$",0,N,font("iwona")); +label("$A$",0,S,font("antykwa",8pt)+red); + diff --git a/Master/texmf-dist/doc/asymptote/examples/controlsystem.asy b/Master/texmf-dist/doc/asymptote/examples/controlsystem.asy new file mode 100644 index 00000000000..bfd8336f1f6 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/controlsystem.asy @@ -0,0 +1,25 @@ +size(0,4cm); +import flowchart; + +block delay=roundrectangle("$e^{-sT_t}$",(0.33,0)); +block system=roundrectangle("$\frac{s+3}{s^2+0.3s+1}$",(0.6,0)); +block controller=roundrectangle("$0.06\left( 1 + \frac{1}{s}\right)$", + (0.45,-0.25)); +block sum1=circle("",(0.15,0),mindiameter=0.3cm); +block junction1=circle("",(0.75,0),fillpen=currentpen); + +draw(delay); +draw(system); +draw(controller); +draw(sum1); +draw(junction1); + +add(new void(picture pic, transform t) { + blockconnector operator --=blockconnector(pic,t); + + block(0,0)--Label("$u$",align=N)--Arrow--sum1--Arrow--delay--Arrow-- + system--junction1--Label("$y$",align=N)--Arrow--block(1,0); + + junction1--Down--Left--Arrow--controller--Left--Up-- + Label("$-$",position=3,align=ESE)--Arrow--sum1; + }); diff --git a/Master/texmf-dist/doc/asymptote/examples/cos2theta.asy b/Master/texmf-dist/doc/asymptote/examples/cos2theta.asy new file mode 100644 index 00000000000..1be0c519fb1 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cos2theta.asy @@ -0,0 +1,15 @@ +import graph; +size(0,100); + +real f(real t) {return cos(2*t);} + +path g=polargraph(f,0,2pi,operator ..)--cycle; +fill(g,green+white); +xaxis("$x$",above=true); +yaxis("$y$",above=true); +draw(g); + +dot(Label,(1,0),NE); +dot(Label,(0,1),NE); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/cos3.asy b/Master/texmf-dist/doc/asymptote/examples/cos3.asy new file mode 100644 index 00000000000..ef8054d6627 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cos3.asy @@ -0,0 +1,25 @@ +import graph3; +import palette; + +size(12cm,IgnoreAspect); +currentprojection=orthographic(1,-2,1); + +real f(pair z) {return abs(cos(z));} + +real Arg(triple v) {return degrees(cos((v.x,v.y)),warn=false);} + +surface s=surface(f,(-pi,-2),(pi,2),20,Spline); + +s.colors(palette(s.map(Arg),Wheel())); +draw(s,render(compression=Low,merge=true)); + +real xmin=point((-1,-1,-1)).x; +real xmax=point((1,1,1)).x; +draw((xmin,0,0)--(xmax,0,0),dashed); + +xaxis3("$\mathop{\rm Re} z$",Bounds,InTicks); +yaxis3("$\mathop{\rm Im} z$",Bounds,InTicks(beginlabel=false)); +zaxis3("$|\cos(z)|$",Bounds,InTicks); + + + diff --git a/Master/texmf-dist/doc/asymptote/examples/cosaddition.asy b/Master/texmf-dist/doc/asymptote/examples/cosaddition.asy new file mode 100644 index 00000000000..f6ce8de62a4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cosaddition.asy @@ -0,0 +1,26 @@ +size(0,200); +import geometry; + +real A=130; +real B=40; + +pair O=(0,0); +pair R=(1,0); +pair P=dir(A); +pair Q=dir(B); + +draw(circle(O,1.0)); +draw(Q--O--P); +draw(P--Q,red); +draw(O--Q--R--cycle); + +draw("$A$",arc(R,O,P,0.3),blue,Arrow,PenMargin); +draw("$B$",arc(R,O,Q,0.6),blue,Arrow,PenMargin); +pair S=(Cos(B),0); +draw(Q--S,blue); +perpendicular(S,NE,blue); + +dot(O); +dot("$R=(1,0)$",R); +dot("$P=(\cos A,\sin A)$",P,dir(O--P)+W); +dot("$Q=(\cos B,\sin B)$",Q,dir(O--Q)); diff --git a/Master/texmf-dist/doc/asymptote/examples/cpkcolors.asy b/Master/texmf-dist/doc/asymptote/examples/cpkcolors.asy new file mode 100644 index 00000000000..ddc7e286d58 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cpkcolors.asy @@ -0,0 +1,259 @@ +/* + * Copyright (C) 2003-2005 Miguel, Jmol Development, www.jmol.org + * + * Contact: miguel@jmol.org + * + * This library is free software; you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public + * License as published by the Free Software Foundation; either + * version 2.1 of the License, or (at your option) any later version. + * + * This library is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + * Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with this library; if not, write to the Free Software + * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. + */ +string[] Element={ + "Xx", // 0 + "H", // 1 + "He", // 2 + "Li", // 3 + "Be", // 4 + "B", // 5 + "C", // 6 + "N", // 7 + "O", // 8 + "F", // 9 + "Ne", // 10 + "Na", // 11 + "Mg", // 12 + "Al", // 13 + "Si", // 14 + "P", // 15 + "S", // 16 + "Cl", // 17 + "Ar", // 18 + "K", // 19 + "Ca", // 20 + "Sc", // 21 + "Ti", // 22 + "V", // 23 + "Cr", // 24 + "Mn", // 25 + "Fe", // 26 + "Co", // 27 + "Ni", // 28 + "Cu", // 29 + "Zn", // 30 + "Ga", // 31 + "Ge", // 32 + "As", // 33 + "Se", // 34 + "Br", // 35 + "Kr", // 36 + "Rb", // 37 + "Sr", // 38 + "Y", // 39 + "Zr", // 40 + "Nb", // 41 + "Mo", // 42 + "Tc", // 43 + "Ru", // 44 + "Rh", // 45 + "Pd", // 46 + "Ag", // 47 + "Cd", // 48 + "In", // 49 + "Sn", // 50 + "Sb", // 51 + "Te", // 52 + "I", // 53 + "Xe", // 54 + "Cs", // 55 + "Ba", // 56 + "La", // 57 + "Ce", // 58 + "Pr", // 59 + "Nd", // 60 + "Pm", // 61 + "Sm", // 62 + "Eu", // 63 + "Gd", // 64 + "Tb", // 65 + "Dy", // 66 + "Ho", // 67 + "Er", // 68 + "Tm", // 69 + "Yb", // 70 + "Lu", // 71 + "Hf", // 72 + "Ta", // 73 + "W", // 74 + "Re", // 75 + "Os", // 76 + "Ir", // 77 + "Pt", // 78 + "Au", // 79 + "Hg", // 80 + "Tl", // 81 + "Pb", // 82 + "Bi", // 83 + "Po", // 84 + "At", // 85 + "Rn", // 86 + "Fr", // 87 + "Ra", // 88 + "Ac", // 89 + "Th", // 90 + "Pa", // 91 + "U", // 92 + "Np", // 93 + "Pu", // 94 + "Am", // 95 + "Cm", // 96 + "Bk", // 97 + "Cf", // 98 + "Es", // 99 + "Fm", // 100 + "Md", // 101 + "No", // 102 + "Lr", // 103 + "Rf", // 104 + "Db", // 105 + "Sg", // 106 + "Bh", // 107 + "Hs", // 108 + "Mt", // 109 + /* + "Ds", // 110 + "Uuu",// 111 + "Uub",// 112 + "Uut",// 113 + "Uuq",// 114 + "Uup",// 115 + "Uuh",// 116 + "Uus",// 117 + "Uuo",// 118 + */ +}; + +// Default table of CPK atom colors +// (ghemical colors with a few proposed modifications). +string[] Hexcolor={ + "FF1493", // Xx 0 + "FFFFFF", // H 1 + "D9FFFF", // He 2 + "CC80FF", // Li 3 + "C2FF00", // Be 4 + "FFB5B5", // B 5 + "909090", // C 6 - changed from ghemical + "3050F8", // N 7 - changed from ghemical + "FF0D0D", // O 8 + "90E050", // F 9 - changed from ghemical + "B3E3F5", // Ne 10 + "AB5CF2", // Na 11 + "8AFF00", // Mg 12 + "BFA6A6", // Al 13 + "F0C8A0", // Si 14 - changed from ghemical + "FF8000", // P 15 + "FFFF30", // S 16 + "1FF01F", // Cl 17 + "80D1E3", // Ar 18 + "8F40D4", // K 19 + "3DFF00", // Ca 20 + "E6E6E6", // Sc 21 + "BFC2C7", // Ti 22 + "A6A6AB", // V 23 + "8A99C7", // Cr 24 + "9C7AC7", // Mn 25 + "E06633", // Fe 26 - changed from ghemical + "F090A0", // Co 27 - changed from ghemical + "50D050", // Ni 28 - changed from ghemical + "C88033", // Cu 29 - changed from ghemical + "7D80B0", // Zn 30 + "C28F8F", // Ga 31 + "668F8F", // Ge 32 + "BD80E3", // As 33 + "FFA100", // Se 34 + "A62929", // Br 35 + "5CB8D1", // Kr 36 + "702EB0", // Rb 37 + "00FF00", // Sr 38 + "94FFFF", // Y 39 + "94E0E0", // Zr 40 + "73C2C9", // Nb 41 + "54B5B5", // Mo 42 + "3B9E9E", // Tc 43 + "248F8F", // Ru 44 + "0A7D8C", // Rh 45 + "006985", // Pd 46 + "C0C0C0", // Ag 47 - changed from ghemical + "FFD98F", // Cd 48 + "A67573", // In 49 + "668080", // Sn 50 + "9E63B5", // Sb 51 + "D47A00", // Te 52 + "940094", // I 53 + "429EB0", // Xe 54 + "57178F", // Cs 55 + "00C900", // Ba 56 + "70D4FF", // La 57 + "FFFFC7", // Ce 58 + "D9FFC7", // Pr 59 + "C7FFC7", // Nd 60 + "A3FFC7", // Pm 61 + "8FFFC7", // Sm 62 + "61FFC7", // Eu 63 + "45FFC7", // Gd 64 + "30FFC7", // Tb 65 + "1FFFC7", // Dy 66 + "00FF9C", // Ho 67 + "00E675", // Er 68 + "00D452", // Tm 69 + "00BF38", // Yb 70 + "00AB24", // Lu 71 + "4DC2FF", // Hf 72 + "4DA6FF", // Ta 73 + "2194D6", // W 74 + "267DAB", // Re 75 + "266696", // Os 76 + "175487", // Ir 77 + "D0D0E0", // Pt 78 - changed from ghemical + "FFD123", // Au 79 - changed from ghemical + "B8B8D0", // Hg 80 - changed from ghemical + "A6544D", // Tl 81 + "575961", // Pb 82 + "9E4FB5", // Bi 83 + "AB5C00", // Po 84 + "754F45", // At 85 + "428296", // Rn 86 + "420066", // Fr 87 + "007D00", // Ra 88 + "70ABFA", // Ac 89 + "00BAFF", // Th 90 + "00A1FF", // Pa 91 + "008FFF", // U 92 + "0080FF", // Np 93 + "006BFF", // Pu 94 + "545CF2", // Am 95 + "785CE3", // Cm 96 + "8A4FE3", // Bk 97 + "A136D4", // Cf 98 + "B31FD4", // Es 99 + "B31FBA", // Fm 100 + "B30DA6", // Md 101 + "BD0D87", // No 102 + "C70066", // Lr 103 + "CC0059", // Rf 104 + "D1004F", // Db 105 + "D90045", // Sg 106 + "E00038", // Bh 107 + "E6002E", // Hs 108 + "EB0026" // Mt 109 +}; + + diff --git a/Master/texmf-dist/doc/asymptote/examples/cube.asy b/Master/texmf-dist/doc/asymptote/examples/cube.asy new file mode 100644 index 00000000000..acfecfdd7d4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cube.asy @@ -0,0 +1,15 @@ +import three; + +currentprojection=orthographic(5,4,2,center=true); + +size(5cm); +size3(3cm,5cm,8cm); + +draw(unitbox); + +dot(unitbox,red); + +label("$O$",(0,0,0),NW); +label("(1,0,0)",(1,0,0),S); +label("(0,1,0)",(0,1,0),E); +label("(0,0,1)",(0,0,1),Z); diff --git a/Master/texmf-dist/doc/asymptote/examples/curvedlabel.asy b/Master/texmf-dist/doc/asymptote/examples/curvedlabel.asy new file mode 100644 index 00000000000..2ff4c6c34ec --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/curvedlabel.asy @@ -0,0 +1,4 @@ +size(200); +import labelpath; +labelpath("This is a test of curved labels in Asymptote (implemented with the {\tt PSTricks pstextpath} macro).",reverse(rotate(-90)*unitcircle)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/curvedlabel3.asy b/Master/texmf-dist/doc/asymptote/examples/curvedlabel3.asy new file mode 100644 index 00000000000..5bee2342d83 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/curvedlabel3.asy @@ -0,0 +1,17 @@ +size(200); +import labelpath3; + +path3 g=(1,0,0)..(0,1,1)..(-1,0,0)..(0,-1,1)..cycle; +path3 g2=shift(-Z)*reverse(unitcircle3); + +string txt1="\hbox{This is a test of \emph{curved} 3D labels in +\textbf{Asymptote} (implemented with {\tt texpath}).}"; + +string txt2="This is a test of curved labels in Asymptote\\(implemented +without the {\tt PSTricks pstextpath} macro)."; + +draw(surface(g),paleblue+opacity(0.5)); +draw(labelpath(txt1,subpath(g,0,reltime(g,0.95)),angle=-90),orange); + +draw(g2,1bp+red); +draw(labelpath(txt2,subpath(g2,0,3.9),angle=180,optional=rotate(-70,X)*Z)); diff --git a/Master/texmf-dist/doc/asymptote/examples/cyclohexane.asy b/Master/texmf-dist/doc/asymptote/examples/cyclohexane.asy new file mode 100644 index 00000000000..11b01551c8d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cyclohexane.asy @@ -0,0 +1,80 @@ +import three; + +currentprojection=perspective(300,-650,500); +currentlight.background=palecyan; + +surface carbon=scale3(70)*unitsphere; // 70 pm +surface hydrogen=scale3(25)*unitsphere; // 25 pm + +real alpha=90+aSin(1/3); + +real CCbond=156; // 156 pm +real CHbond=110; // 110 pm + +triple c1=(0,0,0); +triple h1=c1+CHbond*Z; +triple c2=rotate(alpha,c1,c1+Y)*(CCbond*Z); +triple h2=rotate(120,c1,c2)*h1; +triple h3=c2-CHbond*Z; +triple h4=rotate(120,c2,c1)*h3; + +triple c3=rotate(120,c2,h3)*c1; +triple h5=c3+CHbond*Z; +triple h6=rotate(-120,c3,c2)*h5; + +triple c4=rotate(-120,c3,h5)*c2; +triple h7=c4-CHbond*Z; +triple h8=rotate(120,c4,c3)*h7; + +triple c5=rotate(120,c4,h7)*c3; +triple h9=c5+CHbond*Z; +triple h10=rotate(-120,c5,c4)*h9; + +triple c6=rotate(-120,c5,h9)*c4; +triple h11=c6-CHbond*Z; +triple h12=rotate(120,c6,c5)*h11; + +pen Black=gray(0.4); + +defaultrender=render(compression=Zero,merge=true); + +draw(shift(c1)*carbon,Black); +draw(shift(c2)*carbon,Black); +draw(shift(c3)*carbon,Black); +draw(shift(c4)*carbon,Black); +draw(shift(c5)*carbon,Black); +draw(shift(c6)*carbon,Black); + + +material White=material(diffusepen=gray(0.4),emissivepen=gray(0.6)); + +draw(shift(h1)*hydrogen,White); +draw(shift(h2)*hydrogen,White); +draw(shift(h3)*hydrogen,White); +draw(shift(h4)*hydrogen,White); +draw(shift(h5)*hydrogen,White); +draw(shift(h6)*hydrogen,White); +draw(shift(h7)*hydrogen,White); +draw(shift(h8)*hydrogen,White); +draw(shift(h9)*hydrogen,White); +draw(shift(h10)*hydrogen,White); +draw(shift(h11)*hydrogen,White); +draw(shift(h12)*hydrogen,White); + + +pen thick=linewidth(10); + +draw(c1--c2--c3--c4--c5--c6--cycle,thick); + +draw(c1--h1,thick); +draw(c1--h2,thick); +draw(c2--h3,thick); +draw(c2--h4,thick); +draw(c3--h5,thick); +draw(c3--h6,thick); +draw(c4--h7,thick); +draw(c4--h8,thick); +draw(c5--h9,thick); +draw(c5--h10,thick); +draw(c6--h11,thick); +draw(c6--h12,thick); diff --git a/Master/texmf-dist/doc/asymptote/examples/cylinder.asy b/Master/texmf-dist/doc/asymptote/examples/cylinder.asy new file mode 100644 index 00000000000..88ff1394bac --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cylinder.asy @@ -0,0 +1,8 @@ +import solids; + +size(0,100); +currentlight=Viewport; + +revolution r=cylinder(O,1,1.5,Y+Z); +draw(surface(r),green,render(merge=true)); +draw(r,blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/cylinderskeleton.asy b/Master/texmf-dist/doc/asymptote/examples/cylinderskeleton.asy new file mode 100644 index 00000000000..7dcd1c81190 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/cylinderskeleton.asy @@ -0,0 +1,6 @@ +import solids; + +size(0,100); + +revolution r=cylinder(O,1,1.5,Y+Z); +draw(r,heavygreen); diff --git a/Master/texmf-dist/doc/asymptote/examples/datagraph.asy b/Master/texmf-dist/doc/asymptote/examples/datagraph.asy new file mode 100644 index 00000000000..62cca8ea896 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/datagraph.asy @@ -0,0 +1,12 @@ +import graph; + +size(200,150,IgnoreAspect); + +real[] x={0,1,2,3}; +real[] y=x^2; + +draw(graph(x,y),red); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight, + RightTicks(Label(fontsize(8pt)),new real[]{0,4,9})); diff --git a/Master/texmf-dist/doc/asymptote/examples/delu.asy b/Master/texmf-dist/doc/asymptote/examples/delu.asy new file mode 100644 index 00000000000..7f9853eb51c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/delu.asy @@ -0,0 +1,29 @@ +size(7cm,0); + +pair z1=(1,-0.25); +pair v1=dir(45); +pair z2=-z1; +pair v2=0.75*dir(260); +pair z3=(z1.x,-3); + +// A centered random number +real crand() {return unitrand()-0.5;} + +guide g; +pair lastz; +for(int i=0; i < 60; ++i) { + pair z=0.75*lastz+(crand(),crand()); + g=g..2.5*z; + lastz=z; +} +g=shift(0,-.5)*g..cycle; + +draw(g,gray(0.7)); + +draw("$r$",z1--z2,RightSide,red,Arrows,DotMargins); +draw(z1--z1+v1,Arrow); +draw(z2--z2+v2,Arrow); +draw(z3--z3+v1-v2,green,Arrow); + +dot("1",z1,S,blue); +dot("2",z2,NW,blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/diagonal.asy b/Master/texmf-dist/doc/asymptote/examples/diagonal.asy new file mode 100644 index 00000000000..32f3fc04be0 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/diagonal.asy @@ -0,0 +1 @@ +draw((0,0)--(100,100)); diff --git a/Master/texmf-dist/doc/asymptote/examples/diatom.asy b/Master/texmf-dist/doc/asymptote/examples/diatom.asy new file mode 100644 index 00000000000..23673dcadf5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/diatom.asy @@ -0,0 +1,129 @@ +import graph; + +size(15cm,12cm,IgnoreAspect); + +real minpercent=20; +real ignorebelow=0; +string data="diatom.csv"; +string[] group; +int[] begin,end; + +defaultpen(fontsize(8pt)+overwrite(MoveQuiet)); + +file in=input(data).line().csv(); + +string depthlabel=in; +string yearlabel=in; +string[] taxa=in; +group=in; +begin=in; +real[] depth; +int[] year; +real[][] percentage; + +while(true) { + real d=in; + if(eof(in)) break; + depth.push(d); + year.push(in); + percentage.push(in); +} + +percentage=transpose(percentage); +real depthmin=-min(depth); +real depthmax=-max(depth); + +int n=percentage.length; + +int final; +for(int taxon=0; taxon < n; ++taxon) { + real[] P=percentage[taxon]; + if(max(P) < ignorebelow) continue; + final=taxon; +} + +real angle=45; +real L=3cm; +pair Ldir=L*dir(angle); +real ymax=-infinity; +real margin=labelmargin(); + +real location=0; + +for(int i=0; i < begin.length-1; ++i) end[i]=begin[i+1]-1; +end[begin.length-1]=n-1; + +typedef void drawfcn(frame f); +drawfcn[] draw=new drawfcn[begin.length]; + +pair z0; + +for(int taxon=0; taxon < n; ++taxon) { + real[] P=percentage[taxon]; + real maxP=max(P); + if(maxP < ignorebelow) continue; + picture pic; + real x=1; + if(maxP < minpercent) x=minpercent/maxP; + if(maxP > 100) x=50/maxP; + scale(pic,Linear(true,x),Linear(-1)); + filldraw(pic,(0,depthmin)--graph(pic,P,depth)--(0,depthmax)--cycle, + gray(0.9)); + xaxis(pic,Bottom,LeftTicks("$%.3g$",beginlabel=false,0,2),above=true); + xaxis(pic,Top,above=true); + + frame label; + label(label,rotate(angle)*TeXify(taxa[taxon]),(0,0),N); + + pair z=point(pic,N); + pair v=max(label); + int taxon=taxon; + pic.add(new void(frame f, transform t) { + pair z1=t*z+v; + ymax=max(ymax,z1.y+margin); + }); + + for(int i=0; i < begin.length; ++i) { + pair z=point(pic,N); + pair v=max(label); + if(taxon == begin[i]) { + pic.add(new void(frame f, transform t) { + pair Z=t*z+v; + z0=Z; + pair w0=Z+Ldir; + }); + } else if(taxon == end[i]) { + int i=i; + pair align=2N; + pic.add(new void(frame, transform t) { + pair z0=z0; + pair z1=t*z+v; + pair w1=z1+Ldir; + draw[i]=new void(frame f) { + path g=z0--(z0.x+(ymax-z0.y)/Tan(angle),ymax)-- + (z1.x+(ymax-z1.y)/Tan(angle),ymax)--z1; + draw(f,g); + label(f,group[i],point(g,1.5),align); + }; + }); + } + } + + add(pic,label,point(pic,N)); + + if(taxon == 0) yaxis(pic,depthlabel,Left,RightTicks(0,10),above=true); + if(taxon == final) yaxis(pic,Right,LeftTicks("%",0,10),above=true); + + add(shift(location,0)*pic); + location += pic.userMax().x; +} + +add(new void(frame f, transform) { + for(int i=0; i < draw.length; ++i) + draw[i](f); + }); + +for(int i=0; i < year.length; ++i) + if(year[i] != 0) label((string) year[i],(location,-depth[i]),E); + +label("\%",(0.5*location,point(S).y),5*S); diff --git a/Master/texmf-dist/doc/asymptote/examples/diatom.csv b/Master/texmf-dist/doc/asymptote/examples/diatom.csv new file mode 100644 index 00000000000..d05c3f4bc9a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/diatom.csv @@ -0,0 +1,28 @@ +"sediment depth (cm)","year","Achnanthes minutissima Kuetzing","Anomoeoneis vitrea (Grunow) Ross","Asterionella formosa Hassall","Tabellaria flocculosa (Roth) Kuetzing","Fragilaria cf. tenera","Chaetoceros muelleri/elmorei cysts","Aulacoseira spp. ","Fragilaria capucina var. vaucheriae (Kuetzing)","Fragilaria crotonensis Kitton" +"A","B","C" +0,4,6 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+150,1972,32.6298701298701,31.4935064935065,1.86688311688312,1.78571428571429,0.162337662337662,13.961038961039,0.162337662337662,1.94805194805195,1.86688311688312 +170,1970,30.7692307692308,47.534516765286,0.986193293885602,3.35305719921105,0.19723865877712,1.38067061143984,0,1.18343195266272,0.591715976331361 +190,1965,40.5268490374873,37.8926038500507,1.82370820668693,2.63424518743668,0,1.21580547112462,0.405268490374873,1.21580547112462,1.01317122593718 +260,1961,40.4494382022472,26.0299625468165,0.468164794007491,1.31086142322097,0.561797752808989,8.05243445692884,0,3.74531835205992,0.374531835205993 +280,1950,44.946025515211,11.9725220804711,0.294406280667321,0.785083415112856,16.48675171737,1.96270853778214,0.392541707556428,2.35525024533857,0 +290,1942,41.2818096135721,8.29406220546654,0.188501413760603,0.282752120640905,28.6522148916117,0.942507068803016,0.377002827521206,4.33553251649387,0 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+450,1726,2.37859266600595,0.396432111000991,9.71258671952428,28.5431119920714,0.198216055500496,0.594648166501487,30.5252725470763,0,0.792864222001982 diff --git a/Master/texmf-dist/doc/asymptote/examples/dimension.asy b/Master/texmf-dist/doc/asymptote/examples/dimension.asy new file mode 100644 index 00000000000..1244ba84e68 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/dimension.asy @@ -0,0 +1,23 @@ +size(12cm,0); + +void distance(picture pic=currentpicture, pair A, pair B, Label L="", real n=0, + pen p=currentpen) +{ + real d=3mm; + path g=A--B; + transform T=shift(-n*d*unit(B-A)*I); + pic.add(new void(frame f, transform t) { + picture opic; + path G=T*t*g; + draw(opic,Label(L,Center,UnFill(1)),G,p,Arrows(NoFill),Bars,PenMargins); + add(f,opic.fit()); + }); + pic.addBox(min(g),max(g),T*min(p),T*max(p)); +} + +pair A=(0,0), B=(3,3); + +dot(A); +dot(B); + +distance(A,B,"$\ell$",1); diff --git a/Master/texmf-dist/doc/asymptote/examples/dots.asy b/Master/texmf-dist/doc/asymptote/examples/dots.asy new file mode 100644 index 00000000000..49acfce341f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/dots.asy @@ -0,0 +1 @@ +draw((0,0){up}..(100,25){right}..(200,0){down}); diff --git a/Master/texmf-dist/doc/asymptote/examples/dragon.asy b/Master/texmf-dist/doc/asymptote/examples/dragon.asy new file mode 100644 index 00000000000..08fcb61f5c0 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/dragon.asy @@ -0,0 +1,66 @@ +pair crease(pair z1, pair z2, bool left) +{ + pair dz = z2 - z1; + + if (left) + return z1 + dz * (0.5, 0.5); + else + return z1 + dz * (0.5, -0.5); +} + +pair[] fold(pair[] oldz) +{ + int n = oldz.length; + pair[] newz = new pair[2n-1]; + + for (int i = 0; i < n-1; ++i) + { + newz[2i] = oldz[i]; + newz[2i+1] = crease(oldz[i], oldz[i+1], i%2==0); + } + + newz[2(n-1)] = oldz[n-1]; + + return newz; +} + +pair[] dragon(int n, pair[] base={}) +{ + if (base.length == 0) + if (n%2 == 0) + base = new pair[] {(0,0), (1,1) }; + else + base = new pair[] {(0,0), (1,0) }; + + pair[] z = base; + + for (int i = 1; i < n; ++i) + z = fold(z); + + return z; +} + +void drawtris(pair[] z, pen p = currentpen) +{ + int n = z.length; + + for (int i = 0; i < n-2; i+=2) + fill(z[i]--z[i+1]--z[i+2]--cycle, p); +} + +void drawtris(pair[] z, pen p1, pen p2) +{ + int n = z.length; + + for (int i = 0; i < n-2; i+=2) + fill(z[i]--z[i+1]--z[i+2]--cycle, 2i < n-1 ? p1 : p2); +} + +size(500,0); + +int n = 10; + +drawtris(dragon(n, new pair[] {(0,0), (1,0)}), black); +drawtris(dragon(n, new pair[] {(0,0), (0,-1)}), blue); +drawtris(dragon(n, new pair[] {(0,0), (-1,0)}), red); +drawtris(dragon(n, new pair[] {(0,0), (0,1)}), green); diff --git a/Master/texmf-dist/doc/asymptote/examples/eetomumu.asy b/Master/texmf-dist/doc/asymptote/examples/eetomumu.asy new file mode 100644 index 00000000000..309547d1455 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/eetomumu.asy @@ -0,0 +1,60 @@ +import feynman; + + +// set default line width to 0.8bp +currentpen = linewidth(0.8); + +// scale all other defaults of the feynman module appropriately +fmdefaults(); + +// define vertex and external points + +real L = 50; + +pair zl = (-0.75*L,0); +pair zr = (+0.75*L,0); + +pair xu = zl + L*dir(+120); +pair xl = zl + L*dir(-120); + +pair yu = zr + L*dir(+60); +pair yl = zr + L*dir(-60); + + +// draw propagators and vertices + +drawFermion(xu--zl); +drawFermion(zl--xl); + +drawPhoton(zl--zr); + +drawFermion(yu--zr); +drawFermion(zr--yl); + +drawVertex(zl); +drawVertex(zr); + + +// draw momentum arrows and momentum labels + +drawMomArrow(xl--zl, Relative(left)); +label(Label("$k'$",2RightSide), xl--zl); + +label(Label("$k$",2LeftSide), xu--zl); + +drawMomArrow(zl--zr, Relative(left)); +label(Label("$q$",2RightSide), zl--zr); + +drawMomArrow(zr--yu, Relative(right)); +label(Label("$p'$",2LeftSide), zr--yu); + +label(Label("$p$",2RightSide), zr--yl); + + +// draw particle labels + +label("$e^-$", xu, left); +label("$e^+$", xl, left); + +label("$\mu^+$", yu, right); +label("$\mu^-$", yl, right); diff --git a/Master/texmf-dist/doc/asymptote/examples/electromagnetic.asy b/Master/texmf-dist/doc/asymptote/examples/electromagnetic.asy new file mode 100644 index 00000000000..d229f76b748 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/electromagnetic.asy @@ -0,0 +1,47 @@ +import graph; +import palette; +texpreamble("\usepackage[amssymb,thinqspace,thinspace]{SIunits}"); + +size(800,200); + +real c=3e8; +real nm=1e-9; +real freq(real lambda) {return c/(lambda*nm);} +real lambda(real f) {return c/(f*nm);} + +real fmin=10; +real fmax=1e23; + +scale(Log(true),Linear(true)); +xlimits(fmin,fmax); +ylimits(0,1); + +real uv=freq(400); +real ir=freq(700); + +bounds visible=bounds(Scale(uv).x,Scale(ir).x); +palette(visible,uv,ir+(0,2),Bottom,Rainbow(),invisible); + +xaxis(Label("\hertz",1),Bottom,RightTicks,above=true); + +real log10Left(real x) {return -log10(x);} +real pow10Left(real x) {return pow10(-x);} + +scaleT LogLeft=scaleT(log10Left,pow10Left,logarithmic=true); + +picture q=secondaryX(new void(picture p) { + scale(p,LogLeft,Linear); + xlimits(p,lambda(fmax),lambda(fmin)); + ylimits(p,0,1); + xaxis(p,Label("\nano\metre",1,0.01N),Top,LeftTicks(DefaultLogFormat,n=10)); + }); + +add(q,above=true); + +margin margin=PenMargin(0,0); +draw("radio",Scale((10,1))--Scale((5e12,1)),S,Arrow); +draw("infrared",Scale((1e12,1.75))--Scale(shift(0,1.75)*ir),LeftSide,Arrows,margin); +draw("UV",Scale(shift(0,1.75)*uv)--Scale((1e17,1.76)),LeftSide,Arrows,margin); +draw("x-rays",Scale((1e16,1))--Scale((1e21,1)),RightSide,Arrows); +draw("$\gamma$-rays",Scale((fmax,1.75))--Scale((2e18,1.75)),Arrow); + diff --git a/Master/texmf-dist/doc/asymptote/examples/elevation.asy b/Master/texmf-dist/doc/asymptote/examples/elevation.asy new file mode 100644 index 00000000000..1ff4ee38f28 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/elevation.asy @@ -0,0 +1,17 @@ +import graph3; +import grid3; +import palette; + +currentprojection=orthographic(0.8,1,1); + +size(400,300,IgnoreAspect); + +defaultrender.merge=true; + +real f(pair z) {return cos(2*pi*z.x)*sin(2*pi*z.y);} + +surface s=surface(f,(-1/2,-1/2),(1/2,1/2),50,Spline); + +draw(s,mean(palette(s.map(zpart),Rainbow())),black); + +grid3(XYZgrid); diff --git a/Master/texmf-dist/doc/asymptote/examples/elliptic.asy b/Master/texmf-dist/doc/asymptote/examples/elliptic.asy new file mode 100644 index 00000000000..728508f0110 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/elliptic.asy @@ -0,0 +1,115 @@ +struct curve { + real a=0; + real b=8; + + real y2(real x) { + return x^3+a*x+b; + } + + real disc() { + return -16*(4*a*a*a+27*b*b); + } + + real lowx () { + return sqrt(-a/3); + } + + int comps() { + if (a < 0) { + real x=sqrt(-a/3); + return y2(x) < 0 ? 2 : 1; + } + return 1; + } + + void locus(picture pic=currentpicture, real m, real M, int n=100, + pen p=currentpen) { + path flip(path p, bool close) { + path pp=reverse(yscale(-1)*p)..p; + return close ? pp..cycle : pp; + } + path section(real m, real M, int n) { + guide g; + real width=(M-m)/n; + for(int i=0; i <= n; ++i) { + real x=m+width*i; + real yy=y2(x); + if (yy > 0) + g=g..(x,sqrt(yy)); + } + return g; + } + + if (comps() == 1) { + draw(pic,flip(section(m,M,n),false),p); + } + else { + real x=lowx(); // The minimum on x^3+ax+b + if (m < x) + draw(pic,flip(section(m,min(x,M),n),true),p); + if (x < M) + draw(pic,flip(section(max(x,m),M,n),false),p); + } + } + + pair neg(pair P) { + return finite(P.y) ? yscale(-1)*P : P; + } + + pair add(pair P, pair Q) { + if (P.x == Q.x && P.x != Q.x) + return (0,infinity); + else { + real lambda=P == Q ? (3*P.x^2+a)/(2*P.y) : (Q.y-P.y)/(Q.x-P.x); + real Rx=lambda^2-P.x-Q.x; + return (Rx,(P.x-Rx)*lambda-P.y); + } + } +} + +import graph; +import math; + +size(0,200); + +curve c; c.a=-1; c.b=4; + +pair oncurve(real x) +{ + return (x,sqrt(c.y2(x))); +} + +picture output; + +axes(); +c.locus(-4,3,.3red+.7blue); + +pair P=oncurve(-1),Q=oncurve(1.2); +pair PP=c.add(P,P),sum=c.add(P,Q); + +save(); + +drawline(P,Q,dashed); +drawline(c.neg(sum),sum,dashed); +dot("$P$", P, NW); +dot("$Q$", Q, SSE); +dot(c.neg(sum)); +dot("$P+Q$", sum, 2SW); + +add(output,currentpicture.fit(),(-0.5cm,0),W); + +restore(); + +save(); + +drawline(P,c.neg(PP),dashed); +drawline(c.neg(PP),PP,dashed); +dot("$P$", P, NW); +dot(c.neg(PP)); +dot("$2P$", PP, SW); + +add(output,currentpicture.fit(),(0.5cm,0),E); + +shipout(output); + +restore(); diff --git a/Master/texmf-dist/doc/asymptote/examples/epix.asy b/Master/texmf-dist/doc/asymptote/examples/epix.asy new file mode 100644 index 00000000000..b833289bd80 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/epix.asy @@ -0,0 +1,14 @@ +import graph3; + +size(200,200,IgnoreAspect); + +currentprojection=perspective(4,2,3); + +real f(pair z) {return z.y^3/2-3z.x^2*z.y;} + +draw(surface(f,(-1,-1),(1,1),nx=10,Spline),green,render(merge=true)); +draw(Label("$y$",1),(0,0,0)--(0,2,0),red,Arrow3); + +draw(Label("$x$",1),(0,0,0)--(2,0,0),red,Arrow3); +draw(Label("$z$",1),(0,0,0)--(0,0,2.5),red,Arrow3); +label("$z=\frac{1}{2}y^3-3x^2y$",(1,1,1),NE); diff --git a/Master/texmf-dist/doc/asymptote/examples/equilateral.asy b/Master/texmf-dist/doc/asymptote/examples/equilateral.asy new file mode 100644 index 00000000000..d68e0d02225 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/equilateral.asy @@ -0,0 +1,12 @@ +size(10cm,0); +import math; + +pair b=(0,0), c=(1,0); +pair a=extension(b,b+dir(60),c,c+dir(120)); +pair d=extension(b,b+dir(30),a,a+dir(270)); + +draw(a--b--c--a--d--b^^d--c); +label("$A$",a,N); +label("$B$",b,W); +label("$C$",c,E); +label("$D$",d,S); diff --git a/Master/texmf-dist/doc/asymptote/examples/equilchord.asy b/Master/texmf-dist/doc/asymptote/examples/equilchord.asy new file mode 100644 index 00000000000..b93da942d08 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/equilchord.asy @@ -0,0 +1,21 @@ +import graph3; + +size(0,150); +currentprojection=perspective(5,-4,6); +currentlight=(-1,-1,2); +real t=0.5; + +real F(pair z) { + return (z.x^2+z.y^2 <= 1) ? sqrt(3)*(sqrt(1-z.x^2)-abs(z.y)) : 0; +} + +real a=1.5; +draw((-a,-a,0)--(-a,a,0)--(a,a,0)--(a,-a,0)--cycle,lightgray); + +xaxis3(Label("$x$",1),red,Arrow3); +yaxis3(Label("$y$",1),red,Arrow3); +draw(circle((0,0,0),1),dashed); +draw(surface(F,(-1,-1),(t,1),20,monotonic),green,black,render(merge=true)); +real y=sqrt(1-t^2); +draw((t,y,0)--(t,-y,0)--(t,0,sqrt(3)*y)--cycle,blue); +label("$1$",(1,0,0),-Y+X); diff --git a/Master/texmf-dist/doc/asymptote/examples/errorbars.asy b/Master/texmf-dist/doc/asymptote/examples/errorbars.asy new file mode 100644 index 00000000000..a8707b24972 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/errorbars.asy @@ -0,0 +1,42 @@ +import graph; + +picture pic; +real xsize=200, ysize=140; +size(pic,xsize,ysize,IgnoreAspect); + +pair[] f={(5,5),(50,20),(90,90)}; +pair[] df={(0,0),(5,7),(0,5)}; + +errorbars(pic,f,df,red); +draw(pic,graph(pic,f),"legend", + marker(scale(0.8mm)*unitcircle,red,FillDraw(blue),above=false)); + +scale(pic,true); + +xaxis(pic,"$x$",BottomTop,LeftTicks); +yaxis(pic,"$y$",LeftRight,RightTicks); +add(pic,legend(pic),point(pic,NW),20SE,UnFill); + +picture pic2; +size(pic2,xsize,ysize,IgnoreAspect); + +frame mark; +filldraw(mark,scale(0.8mm)*polygon(6),green,green); +draw(mark,scale(0.8mm)*cross(6),blue); + +draw(pic2,graph(pic2,f),marker(mark,markuniform(5))); + +scale(pic2,true); + +xaxis(pic2,"$x$",BottomTop,LeftTicks); +yaxis(pic2,"$y$",LeftRight,RightTicks); + +yequals(pic2,55.0,red+Dotted); +xequals(pic2,70.0,red+Dotted); + +// Fit pic to W of origin: +add(pic.fit(),(0,0),W); + +// Fit pic2 to E of (5mm,0): +add(pic2.fit(),(5mm,0),E); + diff --git a/Master/texmf-dist/doc/asymptote/examples/exp.asy b/Master/texmf-dist/doc/asymptote/examples/exp.asy new file mode 100644 index 00000000000..2c4eed90d4e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/exp.asy @@ -0,0 +1,14 @@ +import graph; +size(150,0); + +real f(real x) {return exp(x);} +pair F(real x) {return (x,f(x));} + +xaxis("$x$"); +yaxis("$y$",0); + +draw(graph(f,-4,2,operator ..),red); + +labely(1,E); +label("$e^x$",F(1),SE); + diff --git a/Master/texmf-dist/doc/asymptote/examples/exp3.asy b/Master/texmf-dist/doc/asymptote/examples/exp3.asy new file mode 100644 index 00000000000..39baba993f3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/exp3.asy @@ -0,0 +1,22 @@ +import graph3; +import palette; + +size(12cm,IgnoreAspect); +currentprojection=orthographic(1,-2,1); + +real f(pair z) {return abs(exp(z));} + +real Arg(triple v) {return degrees(exp((v.x,v.y)),warn=false);} + +surface s=surface(f,(-2,-pi),(2,pi),20,Spline); + +s.colors(palette(s.map(Arg),Wheel())); +draw(s,render(compression=Low,merge=true)); + +real xmin=point((-1,-1,-1)).x; +real xmax=point((1,1,1)).x; +draw((xmin,0,0)--(xmax,0,0),dashed); + +xaxis3("$\mathop{\rm Re} z$",Bounds,InTicks); +yaxis3("$\mathop{\rm Im} z$",Bounds,InTicks(beginlabel=false)); +zaxis3("$|\exp(z)|$",Bounds,InTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/externalprc.tex b/Master/texmf-dist/doc/asymptote/examples/externalprc.tex new file mode 100644 index 00000000000..e6d4ade1dcf --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/externalprc.tex @@ -0,0 +1,12 @@ +% Generate inline PRC images for latex with +% asy -inlineimage teapot -render=4 +% +% Generate inline PRC images for pdflatex with +% asy -inlineimage teapot -render=4 -tex pdflatex +% +\documentclass[12pt]{article} +\input teapot.pre +\RequirePackage{color,graphicx} +\begin{document} +\input teapot.tex +\end{document} diff --git a/Master/texmf-dist/doc/asymptote/examples/extrudedcontour.asy b/Master/texmf-dist/doc/asymptote/examples/extrudedcontour.asy new file mode 100644 index 00000000000..dabd56b9298 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/extrudedcontour.asy @@ -0,0 +1,26 @@ +import contour; +import palette; +import graph3; + +defaultrender.merge=true; + +currentprojection=orthographic(25,10,10); +size(0,12cm); +real a=3; +real b=4; +real f(pair z) {return (z.x+z.y)/(2+cos(z.x)*sin(z.y));} +guide[][] g=contour(f,(-10,-10),(10,10),new real[]{8},150); + +render render=render(merge=true); +for(guide p:g[0]){ + draw(extrude(p,8Z),palered,render); + draw(path3(p),red+2pt,render); +} + +draw(lift(f,g),red+2pt,render); + +surface s=surface(f,(0,0),(10,10),20,Spline); +s.colors(palette(s.map(zpart),Rainbow()+opacity(0.5))); +draw(s,render); +axes3("$x$","$y$","$z$",Arrow3); + diff --git a/Master/texmf-dist/doc/asymptote/examples/fano.asy b/Master/texmf-dist/doc/asymptote/examples/fano.asy new file mode 100644 index 00000000000..12286d7006e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/fano.asy @@ -0,0 +1,28 @@ +import math; + +size(100,0); + +pair z4=(0,0); +pair z7=(2,0); +pair z1=point(rotate(60)*(z4--z7),1); + +pair z5=interp(z4,z7,0.5); +pair z3=interp(z7,z1,0.5); +pair z2=interp(z1,z4,0.5); +pair z6=extension(z4,z3,z7,z2); + +draw(z4--z7--z1--cycle); +draw(z4--z3); +draw(z7--z2); +draw(z1--z5); +draw(circle(z6,abs(z3-z6))); + +label("1",z1,dir(z5--z1)); +label("2",z2,dir(z7--z2)); +label("3",z3,dir(z4--z3)); +label("4",z4,dir(z3--z4)); +label("5",z5,dir(z1--z5)); +label("6",z6,2.5E+0.1*N); +label("7",z7,dir(z2--z7)); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/fequlogo.asy b/Master/texmf-dist/doc/asymptote/examples/fequlogo.asy new file mode 100644 index 00000000000..e53e1831419 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/fequlogo.asy @@ -0,0 +1,40 @@ +// A compressed version of the required data file may be obtained from: +// http://www-roc.inria.fr/gamma/download/counter.php?dir=ARCHITEC/&get_obj=uhrturm.obj.gz + +import graph3; +import obj; + +size(200,0); +size3(200); + +settings.render=8; + +texpreamble("\usepackage[T1]{fontenc}"); +texpreamble("\usepackage{ccfonts,eulervm}"); + +currentprojection=perspective(4,1,2); +currentlight=(4,0,2); +currentlight.background=blue; + +real R=4; + +triple f1(pair t) {return (R*cos(t.x),R*sin(t.x),t.y);} + +draw(shift(-0.6Z)*scale3(0.66)*rotate(55,Z)*rotate(90,X)* + obj("uhrturm.obj",orange)); + +surface s=surface(f1,(0,0),(2pi,2),8,8,Spline); + +string lo="$\displaystyle f(x+y)=f(x)+f(y)$"; +string hi="$\displaystyle F_{t+s}=F_t\circ F_s$"; + +real h=0.0125; + +draw(surface(rotate(2)*xscale(0.32)*yscale(0.6)*lo,s,-pi/4-1.5*pi/20,0.5,h)); +draw(surface(rotate(0)*xscale(-0.45)*yscale(0.3)*hi,s,0.8*pi,0.25,h),blue); + +add(new void(frame f, transform3 t, picture pic, projection P) { + draw(f,surface(invert(box(min(f,P),max(f,P)),min3(f),P), + new pen[] {orange,red,yellow,brown})); + } +); diff --git a/Master/texmf-dist/doc/asymptote/examples/fermi.asy b/Master/texmf-dist/doc/asymptote/examples/fermi.asy new file mode 100644 index 00000000000..c74da952ab2 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/fermi.asy @@ -0,0 +1,40 @@ +import feynman; + +// set default line width to 0.8bp +currentpen = linewidth(0.8); + +// scale all other defaults of the feynman module appropriately +fmdefaults(); + +// disable middle arrows +currentarrow = None; + +// define vertex and external points + +pair xu = (-40,+45); +pair xl = (-40,-45); +pair yu = (+40,+45); +pair yl = (+40,-45); + +pair zu = ( 0,+ 5); +pair zl = ( 0,- 5); + +// define mid points + +pair mxu = (xu+zu)/2; +pair mxl = (xl+zl)/2; +pair myu = (yu+zu)/2; +pair myl = (yl+zl)/2; + +// draw fermion lines +drawFermion(xu--zu--yu); +drawFermion(xl--zl--yl); + +// draw vertices +drawVertexOX(zu); +drawVertexOX(zl); + +// draw gluon. Note that the underlying fermion line is blotted out. +drawGluon(arc((0,0),mxu,myl,CW)); + +// shipout diff --git a/Master/texmf-dist/doc/asymptote/examples/filegraph.asy b/Master/texmf-dist/doc/asymptote/examples/filegraph.asy new file mode 100644 index 00000000000..4b05c5bcbd7 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/filegraph.asy @@ -0,0 +1,15 @@ +import graph; + +size(200,150,IgnoreAspect); + +file in=input("filegraph.dat").line(); +real[][] a=in.dimension(0,0); +a=transpose(a); + +real[] x=a[0]; +real[] y=a[1]; + +draw(graph(x,y),red); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/filegraph.dat b/Master/texmf-dist/doc/asymptote/examples/filegraph.dat new file mode 100644 index 00000000000..f69ffe330de --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/filegraph.dat @@ -0,0 +1,4 @@ +# x y + 50 0 +100 0.5 +125 2 diff --git a/Master/texmf-dist/doc/asymptote/examples/filesurface.asy b/Master/texmf-dist/doc/asymptote/examples/filesurface.asy new file mode 100644 index 00000000000..eef9d37f494 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/filesurface.asy @@ -0,0 +1,45 @@ +import graph3; +import palette; + +size3(200,IgnoreAspect); + +file in=input("filesurface.dat").line(); +real[] x=in; +real[] y=in; + +real[][] f=in.dimension(0,0); + +triple f(pair t) { + int i=round(t.x); + int j=round(t.y); + return (x[i],y[j],f[i][j]); +} + +surface s=surface(f,(0,0),(x.length-1,y.length-1),x.length-1,y.length-1); +real[] level=uniform(min(f)*(1-sqrtEpsilon),max(f)*(1+sqrtEpsilon),4); + +s.colors(palette(s.map(new real(triple v) {return find(level >= v.z);}), + Rainbow())); + +draw(s,meshpen=thick(),render(merge=true)); + +triple m=currentpicture.userMin(); +triple M=currentpicture.userMax(); +triple target=0.5*(m+M); + +xaxis3("$x$",Bounds,InTicks); +yaxis3("$y$",Bounds,InTicks(Step=1,step=0.1)); +zaxis3("$z$",Bounds,InTicks); + +/* +picture palette; +size3(palette,1cm); +draw(palette,unitcube,red); +frame F=palette.fit3(); +add(F,(M.x,m.y,m.z)); +*/ + +currentprojection=perspective(camera=target+realmult(dir(68,225),M-m), + target=target); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/filesurface.dat b/Master/texmf-dist/doc/asymptote/examples/filesurface.dat new file mode 100644 index 00000000000..16d5966f6be --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/filesurface.dat @@ -0,0 +1,12 @@ +1 12 24 36 60 84 120 180 240 360
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diff --git a/Master/texmf-dist/doc/asymptote/examples/fillcontour.asy b/Master/texmf-dist/doc/asymptote/examples/fillcontour.asy new file mode 100644 index 00000000000..311192fb7f8 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/fillcontour.asy @@ -0,0 +1,29 @@ +import graph; +import palette; +import contour; + +size(12cm,IgnoreAspect); + +pair a=(pi/2,0); +pair b=(3pi/2,2pi); + +real f(real x, real y) {return cos(x)*sin(y);} + +int N=100; +int Divs=10; + +defaultpen(1bp); + +bounds range=bounds(-1,1); + +real[] Cvals=uniform(range.min,range.max,Divs); +guide[][] g=contour(f,a,b,Cvals,N,operator --); + +pen[] Palette=quantize(Rainbow(),Divs); + +pen[][] interior=interior(g,extend(Palette,grey,black)); +fill(g,interior); +draw(g); + +palette("$f(x,y)$",range,point(SE)+(0.5,0),point(NE)+(1,0),Right,Palette, + PaletteTicks("$%+#0.1f$",N=Divs)); diff --git a/Master/texmf-dist/doc/asymptote/examples/fin.asy b/Master/texmf-dist/doc/asymptote/examples/fin.asy new file mode 100644 index 00000000000..8fe88f3dc0e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/fin.asy @@ -0,0 +1,152 @@ +import three; +import palette; + +int N = 26; +real[] C = array(N,0); +real[][] A = new real[N][N]; +for(int i = 0; i < N; ++i) + for(int j = 0; j < N; ++j) + A[i][j] = 0; + +real Tb = 100; // deg C +real h = 240; // 240 W/m^2 K +real k = 240; // W/m K +real Tinf = 20; // deg C +real L = 12; // cm +real t = 2; // cm + +real delta = 0.01; // 1 cm = 0.01 m + +// (1,2)-(2,2)-(3,2)-...-(13,2) +// | | | | +// (1,1)-(2,1)-(3,1)-...-(13,1) +// +// | +// \ / +// V +// +// 13-14-15-...-24-25 +// | | | ... | | +// 0- 1- 2-...-11-12 + +// but, note zero-based array indexing, so counting starts at 0 +int indexof(int m, int n) +{ + return 13(n-1)+m-1; +} + +int i = 0; + +// fixed temperature bottom left +A[i][indexof(1,1)] = 1; C[i] = Tb; +++i; +// fixed temperature middle left +A[i][indexof(1,2)] = 1; C[i] = Tb; +++i; + +// interior nodes +for(int m = 2; m<13; ++m) +{ + A[i][indexof(m,2)] = -4; + A[i][indexof(m-1,2)] = A[i][indexof(m+1,2)] = 1; + A[i][indexof(m,1)] = 2; + C[i] = 0; + ++i; +} + +// convective bottom side nodes +for(int m = 2; m<13; ++m) +{ + A[i][indexof(m,1)] = -(2+h*delta/k); + A[i][indexof(m-1,1)] = A[i][indexof(m+1,1)] = 0.5; + A[i][indexof(m,2)] = 1; + C[i] = -h*delta*Tinf/k; + ++i; +} + +// convective bottom right corner node +A[i][indexof(13,2)] = A[i][indexof(12,1)] = 0.5; +A[i][indexof(13,1)] = -(1+h*delta/k); +C[i] = -h*delta*Tinf/k; +++i; + +// convective middle right side node +A[i][indexof(13,2)] = -(2+h*delta/k); +A[i][indexof(13,1)] = 1; +A[i][indexof(12,2)] = 1; +C[i] = -h*delta*Tinf/k; +++i; + +real[] T = solve(A,C); + +pen[] Palette = Gradient(256,blue,cyan,yellow,orange,red); + +real[][] T = {T[0:13],T[13:26],T[0:13]}; +T = transpose(T); + +size3(15cm); +real w = 10; +real h = 5; +currentprojection = orthographic(2*(L,h,w),Y); +draw((L,t,0)--(L,0,0)--(L,0,w)--(0,0,w)--(0,-h,w)); +draw((0,t,w)--(0,t+h,w)--(0,t+h,0)--(0,t,0)); +draw((L,0,w)--(L,t,w)--(0,t,w)--(0,t,0)--(L,t,0)--(L,t,w)); + +real wo2 = 0.5*w; +draw((0,0,wo2)--(0,t,wo2)--(L,t,wo2)--(L,0,wo2)--cycle); + +// centre points +surface square = surface(shift(-0.5,-0.5,wo2)*unitsquare3); +surface bottomsquare = surface(shift(-0.5,-0.5,wo2)*scale(1,0.5,1)*unitsquare3); +surface topsquare = surface(shift(-0.5,0,wo2)*scale(1,0.5,1)*unitsquare3); +surface leftsquare = surface(shift(-0.5,-0.5,wo2)*scale(0.5,1,1)*unitsquare3); +surface rightsquare = surface(shift(0,-0.5,wo2)*scale(0.5,1,1)*unitsquare3); +surface NEcorner = surface(shift(0,0,wo2)*scale(0.5,0.5,1)*unitsquare3); +surface SEcorner = surface(shift(0,-0.5,wo2)*scale(0.5,0.5,1)*unitsquare3); +surface SWcorner = surface(shift(-0.5,-0.5,wo2)*scale(0.5,0.5,1)*unitsquare3); +surface NWcorner = surface(shift(-0.5,0,wo2)*scale(0.5,0.5,1)*unitsquare3); + +material lookupColour(int m,int n) +{ + int index = round(Palette.length*(T[m-1][n-1]-60)/(100-60)); + if(index >= Palette.length) index = Palette.length-1; + return emissive(Palette[index]); +} + +draw(shift(0,1,0)*rightsquare,lookupColour(1,2)); +for(int i = 2; i < 13; ++i) +{ + draw(shift(i-1,1,0)*square,lookupColour(i,2)); +} +draw(shift(12,1,0)*leftsquare,lookupColour(13,2)); + +draw(shift(0,2,0)*SEcorner,lookupColour(1,3)); +draw(shift(0,0,0)*NEcorner,lookupColour(1,1)); +for(int i = 2; i < 13; ++i) +{ + draw(shift(i-1,0,0)*topsquare,lookupColour(i,1)); + draw(shift(i-1,2,0)*bottomsquare,lookupColour(i,3)); +} +draw(shift(12,2,0)*SWcorner,lookupColour(13,3)); +draw(shift(12,0,0)*NWcorner,lookupColour(13,1)); + +// annotations +draw("$x$",(0,-h/2,w)--(L/4,-h/2,w),Y,Arrow3(HookHead2(normal=Z)),BeginBar3(Y)); +draw("$y$",(0,0,1.05*w)--(0,2t,1.05*w),Z,Arrow3(HookHead2(normal=X)), + BeginBar3(Z)); +draw("$z$",(L,-h/2,0)--(L,-h/2,w/4),Y,Arrow3(HookHead2(normal=X)),BeginBar3(Y)); + +draw("$L$",(0,-h/4,w)--(L,-h/4,w),-Y,Arrows3(HookHead2(normal=Z)), + Bars3(Y),PenMargins2); +draw("$w$",(L,-h/4,0)--(L,-h/4,w),-Y,Arrows3(HookHead2(normal=X)), + Bars3(Y),PenMargins2); +draw("$t$",(1.05*L,0,0)--(1.05*L,t,0),-2Z,Arrows3(HookHead2(normal=Z)), + Bars3(X),PenMargins2); + +label(ZY()*"$T_b$",(0,t+h/2,wo2)); + +label("$h$,$T_\infty$",(L/2,t+h/2,0),Y); +path3 air = (L/2,t+h/3,w/3.5)--(1.5*L/2,t+2*h/3,w/8); +draw(air,EndArrow3(TeXHead2)); +draw(shift(0.5,0,0)*air,EndArrow3(TeXHead2)); +draw(shift(1.0,0,0)*air,EndArrow3(TeXHead2)); diff --git a/Master/texmf-dist/doc/asymptote/examples/fjortoft.asy b/Master/texmf-dist/doc/asymptote/examples/fjortoft.asy new file mode 100644 index 00000000000..0ef81ca2c09 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/fjortoft.asy @@ -0,0 +1,27 @@ +size(15cm,0); + +pair d=(1.5,1); +real s=d.x+1; + +picture box(string s) { + picture pic; + draw(pic,box(0,d)); + label(pic,s,d/2); + return pic; +} + +add(box("$k_1$")); +add(shift(s)*box("$k_2$")); +add(shift(s)^2*box("$k_3$")); + +path g=(d.x,d.y/2)--(s,d.y/2); +path G=(d.x/2,-(s-d.x))--(d.x/2,0); + +draw(Label(baseline("$\ldots$")),shift(-s)*g,BeginArrow,BeginPenMargin); +draw(Label("$Z_1$"),g,BeginArrow,BeginPenMargin); +draw(Label("$E_1$",LeftSide),g,Blank); +draw(Label("$Z_3$"),shift(s)*g,Arrow,PenMargin); +draw(Label("$E_3$",LeftSide),shift(s)*g,Blank); +draw(Label("$Z_2$"),shift(s)*G,Arrow,PenMargin); +draw(Label("$E_2$",LeftSide),shift(s)*G,Blank); +draw(Label(baseline("$\ldots$")),shift(s)^2*g,Arrow,PenMargin); diff --git a/Master/texmf-dist/doc/asymptote/examples/floatingdisk.asy b/Master/texmf-dist/doc/asymptote/examples/floatingdisk.asy new file mode 100644 index 00000000000..be8b339767d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/floatingdisk.asy @@ -0,0 +1,26 @@ +import trembling; +settings.outformat="pdf"; +size(6cm,0); + +real R=1/5; +real h=0.5; +real d=1/12; +real l=.7; + +pair pA=(-l,0); +pair pB=(l,0); + +tremble tr=tremble(angle=10,frequency=0.1,random=50,fuzz=1); +path waterline=tr.deform(pA..pB); + +path disk=shift(0,-d)*scale(R)*unitcircle; +path water=waterline--(l,-h)--(-l,-h)--(-l,0)--cycle; +path container=(l,1/7)--(l,-h)--(-l,-h)--(-l,1/7); + +filldraw(disk,red,linewidth(.3)); +fill(water,mediumgrey+opacity(0.5)); +draw(waterline); + +draw(container,linewidth(1.5)); + +shipout(bbox(2mm)); diff --git a/Master/texmf-dist/doc/asymptote/examples/floor.asy b/Master/texmf-dist/doc/asymptote/examples/floor.asy new file mode 100644 index 00000000000..02c2446abe8 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/floor.asy @@ -0,0 +1,28 @@ +import graph; +unitsize(1cm); + +real Floor(real x) {return floor(x);} + +pair[] Close; +pair[] Open; + +bool3 branch(real x) { + static real lasty; + static bool first=true; + real y=floor(x); + bool samebranch=first || lasty == y; + first=false; + if(samebranch) lasty=x; + else { + Close.push((x,lasty)); + Open.push((x,y)); + } + lasty=y; + return samebranch ? true : default; +}; + +draw(graph(Floor,-5.5,5.5,500,branch)); +axes("$x$",rotate(0)*"$\lfloor x\rfloor$",red); + +dot(Close); +dot(Open,UnFill); diff --git a/Master/texmf-dist/doc/asymptote/examples/flow.asy b/Master/texmf-dist/doc/asymptote/examples/flow.asy new file mode 100644 index 00000000000..aba6c5aa055 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/flow.asy @@ -0,0 +1,31 @@ +import graph; +defaultpen(1.0); + +size(0,150,IgnoreAspect); + +real arrowsize=4mm; +real arrowlength=2arrowsize; + +typedef path vector(real); + +// Return a vector interpolated linearly between a and b. +vector vector(pair a, pair b) { + return new path(real x) { + return (0,0)--arrowlength*interp(a,b,x); + }; +} + +real f(real x) {return 1/x;} + +real epsilon=0.5; +path g=graph(f,epsilon,1/epsilon); + +int n=3; +draw(g); +xaxis("$x$"); +yaxis("$y$"); + +add(vectorfield(vector(W,W),g,n,true)); +add(vectorfield(vector(NE,NW),(0,0)--(point(E).x,0),n,true)); +add(vectorfield(vector(NE,NE),(0,0)--(0,point(N).y),n,true)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/flowchartdemo.asy b/Master/texmf-dist/doc/asymptote/examples/flowchartdemo.asy new file mode 100644 index 00000000000..796e357a5ff --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/flowchartdemo.asy @@ -0,0 +1,27 @@ +size(0,300); + +import flowchart; + +block block1=rectangle(Label("Example",magenta), + pack(Label("Start:",heavygreen),"",Label("$A:=0$",blue), + "$B:=1$"),(-0.5,3),palegreen,paleblue,red); +block block2=diamond(Label("Choice?",blue),(0,2),palegreen,red); +block block3=roundrectangle("Do something",(-1,1)); +block block4=bevel("Don't do something",(1,1)); +block block5=circle("End",(0,0)); + +draw(block1); +draw(block2); +draw(block3); +draw(block4); +draw(block5); + +add(new void(picture pic, transform t) { + blockconnector operator --=blockconnector(pic,t); + // draw(pic,block1.right(t)--block2.top(t)); + block1--Right--Down--Arrow--block2; + block2--Label("Yes",0.5,NW)--Left--Down--Arrow--block3; + block2--Right--Label("No",0.5,NE)--Down--Arrow--block4; + block4--Down--Left--Arrow--block5; + block3--Down--Right--Arrow--block5; + }); diff --git a/Master/texmf-dist/doc/asymptote/examples/fractaltree.asy b/Master/texmf-dist/doc/asymptote/examples/fractaltree.asy new file mode 100644 index 00000000000..c9775ec69d7 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/fractaltree.asy @@ -0,0 +1,27 @@ +size(200); + +path ltrans(path p,int d) +{ + path a=rotate(65)*scale(0.4)*p; + return shift(point(p,(1/d)*length(p))-point(a,0))*a; +} +path rtrans(path p, int d) +{ + path a=reflect(point(p,0),point(p,length(p)))*rotate(65)*scale(0.35)*p; + return shift(point(p,(1/d)*length(p))-point(a,0))*a; +} + +void drawtree(int depth, path branch) +{ + if(depth == 0) return; + real breakp=(1/depth)*length(branch); + draw(subpath(branch,0,breakp),deepgreen); + drawtree(depth-1,subpath(branch,breakp,length(branch))); + drawtree(depth-1,ltrans(branch,depth)); + drawtree(depth-1,rtrans(branch,depth)); + return; +} + +path start=(0,0)..controls (-1/10,1/3) and (-1/20,2/3)..(1/20,1); +drawtree(6,start); + diff --git a/Master/texmf-dist/doc/asymptote/examples/functionshading.asy b/Master/texmf-dist/doc/asymptote/examples/functionshading.asy new file mode 100644 index 00000000000..7cdeb6f4bf4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/functionshading.asy @@ -0,0 +1,31 @@ +size(200); + +settings.tex="pdflatex"; + +// PostScript Calculator routine to convert from [0,1]x[0,1] to RG: +string redgreen="0"; + +// PostScript Calculator routine to convert from [0,1]x[0,1] to HS to RGB: +// (http://www.texample.net/tikz/examples/hsv-shading): +string hsv="0.5 sub exch 0.5 sub exch +2 copy 2 copy 0 eq exch 0 eq and { pop pop 0.0 } {atan 360.0 div} +ifelse dup 360 eq { pop 0.0 }{} ifelse 3 1 roll dup mul exch dup mul add +sqrt 2.5 mul 0.25 sub 1 1 index 1.0 +eq { 3 1 roll pop pop dup dup } { 3 -1 roll 6.0 mul dup 4 1 roll floor dup +5 1 roll 3 index sub neg 1.0 3 index sub 2 index mul 6 1 roll dup 3 index +mul neg 1.0 add 2 index mul 7 1 roll neg 1.0 add 2 index mul neg 1.0 add 1 +index mul 7 2 roll pop pop dup 0 eq { pop exch pop } { dup 1 eq { pop exch +4 1 roll exch pop } { dup 2 eq { pop 4 1 roll pop } { dup 3 eq { pop exch 4 +2 roll pop } { dup 4 eq { pop exch pop 3 -1 roll } { pop 3 1 roll exch pop +} ifelse } ifelse } ifelse } ifelse } ifelse } ifelse cvr 3 1 roll cvr 3 1 +roll cvr 3 1 roll"; + +path p=unitcircle; +functionshade(p,rgb(zerowinding),redgreen); +layer(); +draw(p); + +path g=shift(2*dir(-45))*p; +functionshade(g,rgb(zerowinding),hsv); +layer(); +draw(g); diff --git a/Master/texmf-dist/doc/asymptote/examples/galleon.asy b/Master/texmf-dist/doc/asymptote/examples/galleon.asy new file mode 100644 index 00000000000..1221fd5c862 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/galleon.asy @@ -0,0 +1,14 @@ +import obj; + +size(15cm); +currentprojection=orthographic(0,2,5,up=Y); + +// A compressed version of the required data file may be obtained from: +// http://www.cs.technion.ac.il/~irit/data/Viewpoint/galleon.obj.gz + +pen[] surfacepen={darkred,brown,darkred+orange,heavyred,heavyred,darkred+orange, + palegreen+blue+lightgrey,darkred,darkred,yellow,darkred,white, + white,white,white,white,white}; +surfacepen.cyclic=true; + +draw(obj("galleon.obj",verbose=false,surfacepen)); diff --git a/Master/texmf-dist/doc/asymptote/examples/gamma.asy b/Master/texmf-dist/doc/asymptote/examples/gamma.asy new file mode 100644 index 00000000000..f92dd775abb --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/gamma.asy @@ -0,0 +1,24 @@ +import graph; +size(300,IgnoreAspect); + +bool3 branch(real x) +{ + static int lastsign=0; + if(x <= 0 && x == floor(x)) return false; + int sign=sgn(gamma(x)); + bool b=lastsign == 0 || sign == lastsign; + lastsign=sign; + return b ? true : default; +} + +draw(graph(gamma,-4,4,n=2000,branch),red); + +scale(false); +xlimits(-4,4); +ylimits(-6,6); +crop(); + +xaxis("$x$",RightTicks(NoZero)); +yaxis(LeftTicks(NoZero)); + +label("$\Gamma(x)$",(1,2),red); diff --git a/Master/texmf-dist/doc/asymptote/examples/gamma3.asy b/Master/texmf-dist/doc/asymptote/examples/gamma3.asy new file mode 100644 index 00000000000..e522dad4e70 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/gamma3.asy @@ -0,0 +1,33 @@ +import graph3; +import palette; + +size(12cm,IgnoreAspect); +currentprojection=orthographic(1,-2,1); + +real X=4.5; +real M=abs(gamma((X,0))); + +pair Gamma(pair z) +{ + return (z.x > 0 || z != floor(z.x)) ? gamma(z) : M; +} + +real f(pair z) {return min(abs(Gamma(z)),M);} + +surface s=surface(f,(-2.1,-2),(X,2),70,Spline); + +real Arg(triple v) +{ + return degrees(Gamma((v.x,v.y)),warn=false); +} + +s.colors(palette(s.map(Arg),Wheel())); +draw(s,render(compression=Low,merge=true)); + +real xmin=point((-1,-1,-1)).x; +real xmax=point((1,1,1)).x; +draw((xmin,0,0)--(xmax,0,0),dashed); + +xaxis3("$\mathop{\rm Re} z$",Bounds,InTicks); +yaxis3("$\mathop{\rm Im} z$",Bounds,InTicks(beginlabel=false)); +zaxis3("$|\Gamma(z)|$",Bounds,InTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/generalaxis.asy b/Master/texmf-dist/doc/asymptote/examples/generalaxis.asy new file mode 100644 index 00000000000..dfe1000838e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/generalaxis.asy @@ -0,0 +1,11 @@ +import graph; +size(0,100); + +path g=ellipse((0,0),1,2); + +scale(true); + +axis(Label("C",align=10W),g,LeftTicks(endlabel=false,8,end=false), + ticklocate(0,360,new real(real v) { + path h=(0,0)--max(abs(max(g)),abs(min(g)))*dir(v); + return intersect(g,h)[0];})); diff --git a/Master/texmf-dist/doc/asymptote/examples/generalaxis3.asy b/Master/texmf-dist/doc/asymptote/examples/generalaxis3.asy new file mode 100644 index 00000000000..68a01c8ce28 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/generalaxis3.asy @@ -0,0 +1,13 @@ +import graph3; + +size(0,100); + +path3 g=yscale3(2)*unitcircle3; +currentprojection=perspective(10,10,10); + +axis(Label("C",position=0,align=15X),g,InTicks(endlabel=false,8,end=false), + ticklocate(0,360,new real(real v) { + path3 h=O--max(abs(max(g)),abs(min(g)))*dir(90,v); + return intersect(g,h)[0];}, + new triple(real t) {return cross(dir(g,t),Z);})); + diff --git a/Master/texmf-dist/doc/asymptote/examples/graphmarkers.asy b/Master/texmf-dist/doc/asymptote/examples/graphmarkers.asy new file mode 100644 index 00000000000..f40f00d9ff6 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/graphmarkers.asy @@ -0,0 +1,37 @@ +import graph; + +size(200,100,IgnoreAspect); + +markroutine marks() { + return new void(picture pic=currentpicture, frame f, path g) { + path p=scale(1mm)*unitcircle; + for(int i=0; i <= length(g); ++i) { + pair z=point(g,i); + frame f; + if(i % 4 == 0) { + fill(f,p); + add(pic,f,z); + } else { + if(z.y > 50) { + pic.add(new void(frame F, transform t) { + path q=shift(t*z)*p; + unfill(F,q); + draw(F,q); + }); + } else { + draw(f,p); + add(pic,f,z); + } + } + } + }; +} + +pair[] f={(5,5),(40,20),(55,51),(90,30)}; + +draw(graph(f),marker(marks())); + +scale(true); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/grid.asy b/Master/texmf-dist/doc/asymptote/examples/grid.asy new file mode 100644 index 00000000000..a607ac78e28 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/grid.asy @@ -0,0 +1,7 @@ +import math; +size(100,0); + +add(shift(-5,-5)*grid(10,10)); + +dot((0,0),red); + diff --git a/Master/texmf-dist/doc/asymptote/examples/grid3xyz.asy b/Master/texmf-dist/doc/asymptote/examples/grid3xyz.asy new file mode 100644 index 00000000000..888b9202eee --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/grid3xyz.asy @@ -0,0 +1,17 @@ +import grid3; + +size(8cm,0,IgnoreAspect); +currentprojection=orthographic(0.5,1,0.5); + +scale(Linear, Linear, Log); + +limits((-2,-2,1),(0,2,100)); + +grid3(XYZgrid); + +xaxis3(Label("$x$",position=EndPoint,align=S),Bounds(Min,Min), + OutTicks()); +yaxis3(Label("$y$",position=EndPoint,align=S),Bounds(Min,Min),OutTicks()); +zaxis3(Label("$z$",position=EndPoint,align=(-1,0.5)),Bounds(Min,Min), + OutTicks(beginlabel=false)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/hatch.asy b/Master/texmf-dist/doc/asymptote/examples/hatch.asy new file mode 100644 index 00000000000..126b5bec13a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/hatch.asy @@ -0,0 +1,11 @@ +size(0,100); +import patterns; + +add("hatch",hatch()); +add("hatchback",hatch(NW)); +add("crosshatch",crosshatch(3mm)); + +real s=1.25; +filldraw(unitsquare,pattern("hatch")); +filldraw(shift(s,0)*unitsquare,pattern("hatchback")); +filldraw(shift(2s,0)*unitsquare,pattern("crosshatch")); diff --git a/Master/texmf-dist/doc/asymptote/examples/helix.asy b/Master/texmf-dist/doc/asymptote/examples/helix.asy new file mode 100644 index 00000000000..0925e0821b1 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/helix.asy @@ -0,0 +1,20 @@ +import graph3; + +size(0,200); +size3(200,IgnoreAspect); + +currentprojection=orthographic(4,6,3); + +real x(real t) {return cos(2pi*t);} +real y(real t) {return sin(2pi*t);} +real z(real t) {return t;} + +path3 p=graph(x,y,z,0,2.7,operator ..); + +draw(p,Arrow3); + +scale(true); + +xaxis3(XZ()*"$x$",Bounds,red,InTicks(Label,2,2)); +yaxis3(YZ()*"$y$",Bounds,red,InTicks(beginlabel=false,Label,2,2)); +zaxis3(XZ()*"$z$",Bounds,red,InTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/hierarchy.asy b/Master/texmf-dist/doc/asymptote/examples/hierarchy.asy new file mode 100644 index 00000000000..fdb833e652a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/hierarchy.asy @@ -0,0 +1,9 @@ +texpreamble("\def\Ham{\mathop {\rm Ham}\nolimits}"); +pair align=2N; +frame f; +ellipse(f,Label("$\Ham(r,2)$",(0,0)),lightblue,Fill,above=false); +ellipse(f,Label("BCH Codes",point(f,N),align),green,Fill,above=false); +ellipse(f,Label("Cyclic Codes",point(f,N),align),lightmagenta,Fill,above=false); +ellipse(f,Label("Linear Codes",point(f,N),align),-4mm,orange,Fill,above=false); +box(f,Label("General Codes",point(f,N),align),2mm,yellow,Fill,above=false); +add(f); diff --git a/Master/texmf-dist/doc/asymptote/examples/histogram.asy b/Master/texmf-dist/doc/asymptote/examples/histogram.asy new file mode 100644 index 00000000000..ec00d6638d1 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/histogram.asy @@ -0,0 +1,19 @@ +import graph; +import stats; + +size(400,200,IgnoreAspect); + +int n=10000; +real[] a=new real[n]; +for(int i=0; i < n; ++i) a[i]=Gaussrand(); + +draw(graph(Gaussian,min(a),max(a)),blue); + +// Optionally calculate "optimal" number of bins a la Shimazaki and Shinomoto. +int N=bins(a); + +histogram(a,min(a),max(a),N,normalize=true,low=0,lightred,black,bars=false); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$dP/dx$",LeftRight,RightTicks(trailingzero)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/hyperboloid.asy b/Master/texmf-dist/doc/asymptote/examples/hyperboloid.asy new file mode 100644 index 00000000000..22f3b3d80b0 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/hyperboloid.asy @@ -0,0 +1,8 @@ +size(200); +import solids; + +currentprojection=perspective(4,4,3); +revolution hyperboloid=revolution(graph(new triple(real z) { + return (sqrt(1+z*z),0,z);},-2,2,20,operator ..),axis=Z); +draw(surface(hyperboloid),green,render(compression=Low,merge=true)); +draw(hyperboloid,6,blue,longitudinalpen=nullpen); diff --git a/Master/texmf-dist/doc/asymptote/examples/hyperboloidsilhouette.asy b/Master/texmf-dist/doc/asymptote/examples/hyperboloidsilhouette.asy new file mode 100644 index 00000000000..1bb265de622 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/hyperboloidsilhouette.asy @@ -0,0 +1,9 @@ +size(200); +import solids; +settings.render=0; +settings.prc=false; + +currentprojection=perspective(4,4,3); +revolution hyperboloid=revolution(graph(new triple(real z) { + return (sqrt(1+z*z),0,z);},-2,2,20,operator ..),axis=Z); +draw(hyperboloid.silhouette(64),blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/icon.asy b/Master/texmf-dist/doc/asymptote/examples/icon.asy new file mode 100644 index 00000000000..1701fe0f32e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/icon.asy @@ -0,0 +1,22 @@ +import graph; + +size(30,30,IgnoreAspect); + +real f(real t) {return t < 0 ? -1/t : -0.5/t;} + +picture logo(pair s=0, pen q) +{ + picture pic; + pen p=linewidth(3)+q; + real a=-0.5; + real b=1; + real eps=0.1; + draw(pic,shift((eps,-f(a)))*graph(f,a,-eps),p); + real c=0.5*a; + pair z=(0,f(c)-f(a)); + draw(pic,z+c+eps--z,p); + yaxis(pic,p); + return shift(s)*pic; +} + +add(logo(red)); diff --git a/Master/texmf-dist/doc/asymptote/examples/image.asy b/Master/texmf-dist/doc/asymptote/examples/image.asy new file mode 100644 index 00000000000..37a2cf60172 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/image.asy @@ -0,0 +1,21 @@ +size(12cm,12cm); + +import graph; +import palette; + +int n=256; +real ninv=2pi/n; +real[][] v=new real[n][n]; + +for(int i=0; i < n; ++i) + for(int j=0; j < n; ++j) + v[i][j]=sin(i*ninv)*cos(j*ninv); + +pen[] Palette=BWRainbow(); + +picture bar; + +bounds range=image(v,(0,0),(1,1),Palette); +palette(bar,"$A$",range,(0,0),(0.5cm,8cm),Right,Palette, + PaletteTicks("$%+#.1f$")); +add(bar.fit(),point(E),30E); diff --git a/Master/texmf-dist/doc/asymptote/examples/imagecontour.asy b/Master/texmf-dist/doc/asymptote/examples/imagecontour.asy new file mode 100644 index 00000000000..6b5eb455cad --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/imagecontour.asy @@ -0,0 +1,38 @@ +import graph; +import palette; +import contour; + +size(10cm,10cm,IgnoreAspect); + +pair a=(0,0); +pair b=(2pi,2pi); + +real f(real x, real y) {return cos(x)*sin(y);} + +int N=200; +int Divs=10; +int divs=2; + +defaultpen(1bp); +pen Tickpen=black; +pen tickpen=gray+0.5*linewidth(currentpen); +pen[] Palette=BWRainbow(); + +bounds range=image(f,Automatic,a,b,N,Palette); + +// Major contours + +real[] Cvals=uniform(range.min,range.max,Divs); +draw(contour(f,a,b,Cvals,N,operator --),Tickpen); + +// Minor contours +real[] cvals; +for(int i=0; i < Cvals.length-1; ++i) + cvals.append(uniform(Cvals[i],Cvals[i+1],divs)[1:divs]); +draw(contour(f,a,b,cvals,N,operator --),tickpen); + +xaxis("$x$",BottomTop,LeftTicks,above=true); +yaxis("$y$",LeftRight,RightTicks,above=true); + +palette("$f(x,y)$",range,point(NW)+(0,0.5),point(NE)+(0,1),Top,Palette, + PaletteTicks(N=Divs,n=divs,Tickpen,tickpen)); diff --git a/Master/texmf-dist/doc/asymptote/examples/imagehistogram.asy b/Master/texmf-dist/doc/asymptote/examples/imagehistogram.asy new file mode 100644 index 00000000000..d3bdc783757 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/imagehistogram.asy @@ -0,0 +1,47 @@ +import stats; +import graph; +import palette; +import contour; + +size(20cm); + +scale(false); + +pair[] data=new pair[50000]; +for(int i=0; i < data.length; ++i) + data[i]=Gaussrandpair(); + +// Histogram limits and number of bins +pair datamin=(-0.15,-0.15); +pair datamax=(0.15,0.15); +int Nx=30; +int Ny=30; + +int[][] bins=frequency(data,datamin,datamax,Nx,Ny); + +real[] values=new real[Nx*Ny]; +pair[] points=new pair[Nx*Ny]; +int k=0; +real dx=(datamax.x-datamin.x)/Nx; +real dy=(datamax.y-datamin.y)/Ny; +for(int i=0; i < Nx; ++i) { + for(int j=0; j < Ny; ++j) { + values[k]=bins[i][j]; + points[k]=(datamin.x+(i+0.5)*dx,datamin.y+(j+0.5)*dy); + ++k; + } +} + +// Create a color palette +pen[] InvGrayscale(int NColors=256) { + real ninv=1.0/(NColors-1.0); + return sequence(new pen(int i) {return gray(1-17*i*ninv);},NColors); +} + +// Draw the histogram, with axes +bounds range=image(points,values,Range(0,40),InvGrayscale()); +draw(contour(points,values,new real[] {1,2,3,4,8,12,16,20,24,28,32,36,40}, + operator--),blue); +xaxis("$x$",BottomTop,LeftTicks,above=true); +yaxis("$y$",LeftRight,RightTicks,above=true); + diff --git a/Master/texmf-dist/doc/asymptote/examples/impact.asy b/Master/texmf-dist/doc/asymptote/examples/impact.asy new file mode 100644 index 00000000000..d9039697779 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/impact.asy @@ -0,0 +1,29 @@ +// Contributed by Philippe Ivaldi. +// http://www.piprime.fr/ + +import graph3 ; +import contour; +size (6cm,0); +currentprojection=orthographic(1,1,1) ; + +real rc=1, hc=2, c=rc/hc; +draw(shift(hc*Z)*scale(rc,rc,-hc)*unitcone,blue); + +triple Os=(0.5,0.5,1); +real r=0.5; +draw(shift(Os)*scale3(r)*unitsphere,red); + +real a=1+1/c^2; +real b=abs(Os)^2-r^2; + +real f(pair z) +{ + real x=z.x, y=z.y; + return a*x^2-2*Os.x*x+a*y^2-2*Os.y*y-2*Os.z*sqrt(x^2+y^2)/c+b; +} + +real g(pair z){return (sqrt(z.x^2+z.y^2))/c;} + +draw(lift(g,contour(f,(-rc,-rc),(rc,rc),new real[]{0})),linewidth(2bp)+yellow); + +axes3("$x$","$y$","$z$",Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/integraltest.asy b/Master/texmf-dist/doc/asymptote/examples/integraltest.asy new file mode 100644 index 00000000000..c45b1eb8f17 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/integraltest.asy @@ -0,0 +1,38 @@ +import graph; +size(300,150,IgnoreAspect); + +real f(real x) {return 1/x^(1.1);} +pair F(real x) {return (x,f(x));} + +dotfactor=7; + +void subinterval(real a, real b) +{ + path g=box((a,0),(b,f(b))); + filldraw(g,lightgray); + draw(box((a,f(a)),(b,0))); +} + +int a=1, b=9; + +xaxis("$x$",0,b); +yaxis("$y$",0); + +draw(graph(f,a,b,operator ..),red); + +int n=2; + +for(int i=a; i <= b; ++i) { + if(i < b) subinterval(i,i+1); + if(i <= n) labelx(i); + dot(F(i)); +} + +int i=n; +labelx("$\ldots$",++i); +labelx("$k$",++i); +labelx("$k+1$",++i); +labelx("$\ldots$",++i); + +arrow("$f(x)$",F(i-1.5),NE,1.5cm,red,Margin(0,0.5)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/interpolate1.asy b/Master/texmf-dist/doc/asymptote/examples/interpolate1.asy new file mode 100644 index 00000000000..8845c8dd2f8 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/interpolate1.asy @@ -0,0 +1,226 @@ +// Lagrange and Hermite interpolation in Asymptote +// Author: Olivier Guibé + +import interpolate; +import graph; + +// Test 1: The Runge effect in the Lagrange interpolation of 1/(x^2+1). + +unitsize(2cm); + +real f(real x) {return(1/(x^2+1));} +real df(real x) {return(-2*x/(x^2+1)^2);} + +real a=-5, b=5; +int n=15; +real[] x,y,dy; +x=a+(b-a)*sequence(n+1)/n; +y=map(f,x); +dy=map(df,x); +for(int i=0; i <= n; ++i) + dot((x[i],y[i]),5bp+blue); +horner h=diffdiv(x,y); +fhorner p=fhorner(h); +draw(graph(p,a,b,n=500),"$x\longmapsto{}L_{"+string(n)+"}$"); +draw(graph(f,a,b),red,"$x\longmapsto{}\frac{1}{x^2+1}$"); + +xlimits(-5,5); +ylimits(-1,1,Crop); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); + +attach(legend(),point(10S),30S); + +shipout("runge1"); + +erase(); + +// Test 2: The Runge effect in the Hermite interpolation of 1/(x^2+1). + +real f(real x) {return(1/(x^2+1));} +real df(real x) {return(-2*x/(x^2+1)^2);} + +real a=-5, b=5; +int n=16; +real[] x,y,dy; +x=a+(b-a)*sequence(n+1)/n; +y=map(f,x); +dy=map(df,x); +for(int i=0; i <= n; ++i) + dot((x[i],y[i]),5bp+blue); +horner h=hdiffdiv(x,y,dy); +fhorner ph=fhorner(h); +draw(graph(p,a,b,n=500),"$x\longmapsto{}H_{"+string(n)+"}$"); +draw(graph(f,a,b),red,"$x\longmapsto{}\frac{1}{x^2+1}$"); + +unitsize(2cm); + +xlimits(-5,5); +ylimits(-1,5,Crop); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); + +attach(legend(),point(10S),30S); + +shipout("runge2"); + +erase(); + +// Test 3: The Runge effect does not occur for all functions: +// Lagrange interpolation of a function whose successive derivatives +// are bounded by a constant M (here M=1) is shown here to converge. + +real f(real x) {return(sin(x));} +real df(real x) {return(cos(x));} + +real a=-5, b=5; +int n=16; +real[] x,y,dy; +x=a+(b-a)*sequence(n+1)/n; +y=map(f,x); +dy=map(df,x); +for(int i=0; i <= n; ++i) + dot((x[i],y[i]),5bp+blue); +horner h=diffdiv(x,y); +fhorner p=fhorner(h); + +draw(graph(p,a,b,n=500),"$x\longmapsto{}L_{"+string(n)+"}$"); +draw(graph(f,a,b),red,"$x\longmapsto{}\cos(x)$"); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); + +attach(legend(),point(10S),30S); + +shipout("runge3"); + +erase(); + +// Test 4: However, one notes here that numerical artifacts may arise +// from limit precision (typically 1e-16). + +real f(real x) {return(sin(x));} +real df(real x) {return(cos(x));} + +real a=-5, b=5; +int n=72; +real[] x,y,dy; +x=a+(b-a)*sequence(n+1)/n; +y=map(f,x); +dy=map(df,x); +for(int i=0; i <= n; ++i) + dot((x[i],y[i]),5bp+blue); +horner h=diffdiv(x,y); +fhorner p=fhorner(h); + +draw(graph(p,a,b,n=500),"$x\longmapsto{}L_{"+string(n)+"}$"); +draw(graph(f,a,b),red,"$x\longmapsto{}\cos(x)$"); + +ylimits(-1,5,Crop); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); + +attach(legend(),point(10S),30S); + +shipout("runge4"); + +erase(); + +// Test 5: The situation is much better using Tchebychev points. + +unitsize(2cm); + +real f(real x) {return(1/(x^2+1));} +real df(real x) {return(-2*x/(x^2+1)^2);} + +real a=-5, b=5; +int n=16; +real[] x,y,dy; +fhorner p,ph,ph1; +for(int i=0; i <= n; ++i) + x[i]=(a+b)/2+(b-a)/2*cos((2*i+1)/(2*n+2)*pi); +y=map(f,x); +dy=map(df,x); +for(int i=0; i <= n; ++i) + dot((x[i],y[i]),5bp+blue); +horner h=diffdiv(x,y); +fhorner p=fhorner(h); + +draw(graph(p,a,b,n=500),"$x\longmapsto{}T_{"+string(n)+"}$"); +draw(graph(f,a,b),red,"$x\longmapsto{}\frac{1}{x^2+1}$"); + +xlimits(-5,5); +ylimits(-1,2,Crop); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); +attach(legend(),point(10S),30S); + +shipout("runge5"); + +erase(); + +// Test 6: Adding a few more Tchebychev points yields a very good result. + +unitsize(2cm); + +real f(real x) {return(1/(x^2+1));} +real df(real x) {return(-2*x/(x^2+1)^2);} + +real a=-5, b=5; +int n=26; +real[] x,y,dy; +for(int i=0; i <= n; ++i) + x[i]=(a+b)/2+(b-a)/2*cos((2*i+1)/(2*n+2)*pi); +y=map(f,x); +dy=map(df,x); +for(int i=0; i <= n; ++i) + dot((x[i],y[i]),5bp+blue); +horner h=diffdiv(x,y); +fhorner p=fhorner(h); +draw(graph(p,a,b,n=500),"$x\longmapsto{}T_{"+string(n)+"}$"); +draw(graph(f,a,b),red,"$x\longmapsto{}\frac{1}{x^2+1}$"); + +xlimits(-5,5); +ylimits(-1,2,Crop); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); +attach(legend(),point(10S),30S); + + +shipout("runge6"); + +erase(); + +// Test 7: Another Tchebychev example. + +unitsize(2cm); + +real f(real x) {return(sqrt(abs(x-1)));} + +real a=-2, b=2; +int n=30; +real[] x,y,dy; +for(int i=0; i <= n; ++i) + x[i]=(a+b)/2+(b-a)/2*cos((2*i+1)/(2*n+2)*pi); +y=map(f,x); +dy=map(df,x); +for(int i=0; i <= n; ++i) + dot((x[i],y[i]),5bp+blue); +horner h=diffdiv(x,y); +fhorner p=fhorner(h); +draw(graph(p,a,b,n=500),"$x\longmapsto{}T_{"+string(n)+"}$"); +draw(graph(f,a,b),red,"$x\longmapsto{}\sqrt{|x-1|}$"); + +xlimits(-2,2); +ylimits(-0.5,2,Crop); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); +attach(legend(),point(10S),30S); + +shipout("runge7"); diff --git a/Master/texmf-dist/doc/asymptote/examples/intro.asy b/Master/texmf-dist/doc/asymptote/examples/intro.asy new file mode 100644 index 00000000000..fcafefb32a6 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/intro.asy @@ -0,0 +1,958 @@ +orientation=Landscape; + +settings.tex="pdflatex"; + +import slide; +import three; +import animate; + +bool long=true; + +usepackage("mflogo"); + +usersetting(); + +viewportsize=pagewidth-2pagemargin; + +// To generate bibliographic references: +// asy -k goysr +// bibtex goysr_ +bibliographystyle("alpha"); + +itempen=fontsize(22pt); +defaultpen(itempen); +viewportmargin=(2,2); + +titlepage(long ? "Asymptote: The Vector Graphics Language" : + "Interactive TeX-Aware 3D Vector Graphics", + "John Bowman and Andy Hammerlindl", +"Department of Mathematical and Statistical Sciences\\ + University of Alberta\\ +%and Instituto Nacional de Matem\'atica Pura e Aplicada (IMPA) +\medskip\Green{Collaborators: Orest Shardt, Michail Vidiassov}", +"June 30, 2010", +"http://asymptote.sf.net/intro.pdf"); + +title("History"); +item("1979: \TeX\ and \MF\ (Knuth)"); +item("1986: 2D B\'ezier control point selection (Hobby)"); +item("1989: MetaPost (Hobby)"); +item("2004: Asymptote"); +subitem("2004: initial public release (Hammerlindl, Bowman, \& Prince)"); +subitem("2005: 3D B\'ezier control point selection (Bowman)"); +subitem("2008: 3D interactive \TeX\ within PDF files (Shardt \& Bowman)"); +subitem("2009: 3D billboard labels that always face camera (Bowman)"); +subitem("2010: 3D PDF enhancements (Vidiassov \& Bowman)"); + +title("Statistics (as of June, 2010)"); +item("Runs under Linux/UNIX, Mac OS X, Microsoft Windows."); +item("4000 downloads/month from primary\hfill\\ + {\tt asymptote.sourceforge.net} site alone."); +item("80\ 000 lines of low-level C++ code."); +item("36\ 000 lines of high-level Asymptote code."); + +if(long) { +title("Vector Graphics"); +item("Raster graphics assign colors to a grid of pixels."); +figure("pixel.pdf"); +item("Vector graphics are graphics which still maintain their look when + inspected at arbitrarily small scales."); +asyfigure(asywrite(" +picture pic; + +path zoombox(real h) { + return box((-h,-h/2),(min(10,h),min(10,h)/2)); +} + +frame zoom(real h, real next=0) { + frame f; + draw(f, (0,-100){W}..{E}(0,0), Arrow); + clip(f, zoombox(h)); + if(next > 0) + draw(f, zoombox(next)); + + return scale(100/h)*f; +} + +add(zoom(100), (0,0)); +add(zoom(10), (200,0)); +add(zoom(1), (400,0)); +")); +} + +title("Cartesian Coordinates"); + +item("Asymptote's graphical capabilities are based on four primitive + commands: {\tt draw}, {\tt label}, {\tt fill}, {\tt clip} \cite{Bowman08}"); + +asyfilecode("diagonal"); +item("units are {\tt PostScript} {\it big points\/} (1 {\tt bp} = +1/72 {\tt inch})"); +item("{\tt --} means join the points with a linear segment to create +a {\it path}"); + +item("{\it cyclic\/} path:"); + +asycode(" +draw((0,0)--(100,0)--(100,100)--(0,100)--cycle); +"); + +title("Scaling to a Given Size"); + +item("{\tt PostScript} units are often inconvenient."); + +item("Instead, scale user coordinates to a specified final size:"); + +asyfilecode("square"); + +item("One can also specify the size in {\tt cm}:"); + +asycode(" +size(3cm,3cm); +draw(unitsquare); +"); + +title("Labels"); + +item("Adding and aligning \LaTeX\ labels is easy:"); + +asycode(preamble="defaultpen(fontsize("+string(fontsize(itempen))+"));", +"size(6cm); +draw(unitsquare); +label(\"$A$\",(0,0),SW); +label(\"$B$\",(1,0),SE); +label(\"$C$\",(1,1),NE); +label(\"$D$\",(0,1),NW); +"); + +title("2D B\'ezier Splines"); + +item("Using {\tt ..} instead of {\tt --} specifies a {\it B\'ezier cubic +spline}:"); + +code(" +draw(z0 .. controls c0 and c1 .. z1,blue); +"); +asyfigure(asywrite("defaultpen(fontsize("+string(fontsize(itempen))+")); +size(0,7cm); +pair z0=(0,0); +pair c0=(1,1); +pair c1=(2,1); +pair z1=(3,0); +draw(z0..controls c0 and c1 .. z1,blue); +draw(z0--c0--c1--z1,dashed); +dot(\"$z_0$\",z0,W,red); +dot(\"$c_0$\",c0,NW,red); +dot(\"$c_1$\",c1,NE,red); +dot(\"$z_1$\",z1,red); +")); + +equation("(1-t)^3 z_0+3t(1-t)^2 c_0+3t^2(1-t) c_1+t^3 z_1, \qquad t\in [0,1]."); + +title("Smooth Paths"); + +item("Asymptote can choose control points for you, using the algorithms of +Hobby and Knuth \cite{Hobby86,Knuth86b}:"); + +string bean=" +pair[] z={(0,0), (0,1), (2,1), (2,0), (1,0)}; +"; + +asycode(preamble="size(130,0);",bean+" +draw(z[0]..z[1]..z[2]..z[3]..z[4]..cycle, + grey+linewidth(5)); +dot(z,linewidth(7)); +"); + +item("First, linear equations involving the curvature are solved to find the + direction through each knot. Then, control points along those directions + are chosen:"); + +asyfigure(asywrite(preamble="size(130,0);",bean+" +path p=z[0]..z[1]..z[2]..z[3]..z[4]..cycle; + +dot(z); +draw(p,lightgrey+linewidth(5)); +dot(z); + +picture output; +save(); +for(int i=0; i<length(p); ++i) { + pair z=point(p,i), dir=dir(p,i); + draw((z-0.3dir)--(z+0.3dir), Arrow); +} +add(output, currentpicture.fit(), (-0.5inch, 0), W); +restore(); + +save(); +guide g; +for(int i=0; i<length(p); ++i) { + dot(precontrol(p,i)); + dot(postcontrol(p,i)); + g=g--precontrol(p,i)--point(p,i)--postcontrol(p,i); +} +draw(g--cycle,dashed); +add(output, currentpicture.fit(), (+0.5inch, 0), E); +restore(); + +shipout(output); +")); + +title("Filling"); +item("The {\tt fill} primitive to fill the inside of a path:"); +asycode(preamble="size(0,200);"," +path star; +for(int i=0; i < 5; ++i) + star=star--dir(90+144i); +star=star--cycle; + +fill(star,orange+zerowinding); +draw(star,linewidth(3)); + +fill(shift(2,0)*star,blue+evenodd); +draw(shift(2,0)*star,linewidth(3)); +"); + +title("Filling"); +item("Use a list of paths to fill a region with holes:"); +asycode(preamble="size(0,300);"," +path[] p={scale(2)*unitcircle, reverse(unitcircle)}; +fill(p,green+zerowinding); +"); + +title("Clipping"); +item("Pictures can be clipped to a path:"); +asycode(preamble=" +size(0,200); +guide star; +for(int i=0; i<5; ++i) + star=star--dir(90+144i); +star=star--cycle;"," +fill(star,orange+zerowinding); +clip(scale(0.7)*unitcircle); +draw(scale(0.7)*unitcircle); +"); + +title("Affine Transforms"); + +item("Affine transformations: shifts, rotations, reflections, and scalings + can be applied to pairs, paths, pens, strings, and even whole pictures:"); + +code(" +fill(P,blue); +fill(shift(2,0)*reflect((0,0),(0,1))*P, red); +fill(shift(4,0)*rotate(30)*P, yellow); +fill(shift(6,0)*yscale(0.7)*xscale(2)*P, green); +"); +asyfigure(asywrite(" +size(500,0); +real bw=0.15; +real sw=0.2; +real r=0.15; + +path outside=(0,0)--(0,1)-- + (bw+sw,1)..(bw+sw+r+bw,1-(r+bw))..(bw+sw,1-2(r+bw))-- + (bw,1-2(r+bw))--(bw,0)--cycle; +path inside=(bw,1-bw-2r)--(bw,1-bw)-- + (bw+sw,1-bw)..(bw+sw+r,1-bw-r)..(bw+sw,1-bw-2r)--cycle; +//fill(new path[] {outside, reverse(inside)},yellow); + +path[] P={outside, reverse(inside)}; + +fill(P,blue); +fill(shift(2,0)*reflect((0,0),(0,1))*P, red); +fill(shift(4,0)*rotate(30)*P, yellow); +fill(shift(6,0)*yscale(0.7)*xscale(2)*P, green); +")); + +if(long) { +title("C++/Java-like Programming Syntax"); + +code("// Declaration: Declare x to be real: +real x; + +// Assignment: Assign x the value 1. +x=1.0; + +// Conditional: Test if x equals 1 or not. +if(x == 1.0) { + write(\"x equals 1.0\"); +} else { + write(\"x is not equal to 1.0\"); +} + +// Loop: iterate 10 times +for(int i=0; i < 10; ++i) { + write(i); +}"); +} + +title("Modules"); + +item("There are modules for Feynman diagrams,"); +asyfigure("eetomumu","height=6cm"); +remark("data structures,"); +asyfigure(asywrite(" +import binarytree; + +binarytree bt=binarytree(1,2,4,nil,5,nil,nil,0,nil,nil,3,6,nil,nil,7); +draw(bt); +"),"height=6cm"); +newslide(); +remark("algebraic knot theory:"); +asyfigure("knots"); +equations("\Phi\Phi(x_1,x_2,x_3,x_4,x_5) + = &\rho_{4b}(x_1+x_4,x_2,x_3,x_5) + \rho_{4b}(x_1,x_2,x_3,x_4) \\ + + &\rho_{4a}(x_1,x_2+x_3,x_4,x_5) - \rho_{4b}(x_1,x_2,x_3,x_4+x_5) \\ + - &\rho_{4a}(x_1+x_2,x_3,x_4,x_5) - \rho_{4a}(x_1,x_2,x_4,x_5)."); + +if(long) { +title("Textbook Graph"); +asy(nativeformat(),"exp"); +filecode("exp.asy"); +label(graphic("exp."+nativeformat(),"height=10cm"),(0.5,0), + Fill(figureborder,figuremattpen)); + +title("Scientific Graph"); +asyfilecode("lineargraph","height=13cm",newslide=true); + +title("Data Graph"); +asyfilecode("datagraph","height=13cm",newslide=true); + +title("Imported Data Graph"); +asyfilecode("filegraph","height=15cm",newslide=true); + +title("Logarithmic Graph"); +asyfilecode("loggraph","height=15cm",newslide=true); +title("Secondary Axis"); +} else +title("Scientific Graph"); + +asyfigure("secondaryaxis","height=15cm"); + +title("Images and Contours"); +asyfigure("imagecontour","height=17cm"); + +title("Multiple Graphs"); +asyfigure("diatom","height=17cm"); + +title("Hobby's 2D Direction Algorithm"); +item("A tridiagonal system of linear equations is solved to determine any unspecified directions $\phi_k$ and $\theta_k$ through each knot $z_k$:"); + +equation("\frac{\theta_{k-1}-2\phi_k}{\ell_k}= +\frac{\phi_{k+1}-2\theta_k}{\ell_{k+1}}."); + +asyfigure("Hobbydir","height=9cm"); + +item("The resulting shape may be adjusted by modifying optional {\it tension\/} parameters and {\it curl\/} boundary conditions."); + +title("Hobby's 2D Control Point Algorithm"); +item("Having prescribed outgoing and incoming path directions $e^{i\theta}$ +at node~$z_0$ and $e^{i\phi}$ at node $z_1$ relative to the +vector $z_1-z_0$, the control points are determined as:"); + +equations("u&=&z_0+e^{i\theta}(z_1-z_0)f(\theta,-\phi),\nonumber\\ +v&=&z_1-e^{i\phi}(z_1-z_0)f(-\phi,\theta),"); + +remark("where the relative distance function $f(\theta,\phi)$ is given by Hobby [1986]."); + +asyfigure("Hobbycontrol","height=9cm"); + +if(long) { +title("B\'ezier Curves in 3D"); + +item("Apply an affine transformation"); + +equation("x'_i=A_{ij} x_j+C_i"); + +remark("to a B\'ezier curve:"); + +equation("\displaystyle x(t)=\sum_{k=0}^3 B_k(t) P_k, \qquad t\in [0,1]."); + +item("The resulting curve is also a B\'ezier curve:"); + +skip(-2); + +equations("x'_i(t)&=&\sum_{k=0}^3 B_k(t) A_{ij}(P_k)_j+C_i\nonumber\\ +&=&\sum_{k=0}^3 B_k(t) P'_k,"); + +skip(-2); + +remark("where $P'_k$ is the transformed $k^{\rm th}$ control point, noting +$\displaystyle\sum_{k=0}^3 B_k(t)=1.$"); +} + +title("3D Generalization of Direction Algorithm"); + +item("Must reduce to 2D algorithm in planar case."); + +item("Determine directions by applying Hobby's algorithm in the plane containing $z_{k-1}$, $z_k$, $z_{k+1}$."); + +// Reformulate Hobby's equations in terms of the angle $\psi_k=$ +item("The only ambiguity that can arise is the overall sign of the angles, which relates to viewing each 2D plane from opposing normal directions."); + +item("A reference vector based on the mean unit normal of successive segments can be used to resolve such ambiguities \cite{Bowman07,Bowman09}"); + +title("3D Control Point Algorithm"); + +item("Express Hobby's algorithm in terms of the absolute directions $\omega_0$ and~$\omega_1$:"); +skip(-1); +equation("u=z_0+\omega_0\left|z_1-z_0\right|f(\theta,-\phi),"); +equation("v=z_1-\omega_1\left|z_1-z_0\right|f(-\phi,\theta),"); + +asyfigure("Hobbycontrol"); + +remark("interpreting $\theta$ and $\phi$ as the angle between the corresponding path direction vector and $z_1-z_0$."); + +item("Here there is an unambiguous reference vector for determining the relative sign of the angles $\phi$ and $\theta$."); + +viewportmargin=(2,0.5cm); +//defaultpen(1.0); +title("Interactive 3D Saddle"); +item("A unit circle in the $X$--$Y$ plane may be constructed with: +{\tt (1,0,0)..(0,1,0)..(-1,0,0)..(0,-1,0)..cycle}:"); +asyinclude("unitcircle3",8cm); +remark("and then distorted into the saddle\\ +{\tt (1,0,0)..(0,1,1)..(-1,0,0)..(0,-1,1)..cycle}:"); +asyinclude("saddle",8cm); +//defaultpen(0.5); + +title("Lifting TeX to 3D"); +item("Glyphs are first split into simply connected regions and then decomposed into planar B\'ezier surface patches \cite{Bowman09,Shardt10}:"); +asyfigure("../examples/partitionExample"); + +viewportmargin=(2,1cm); +title("Label Manipulation"); +item("They can then be extruded and/or arbitrarily transformed:"); +asyinclude("../examples/label3solid"); + +title("Billboard Labels"); +defaultpen(fontsize(36pt)); +asyinclude("../examples/billboard",15cm); +defaultpen(itempen); + +title("Smooth 3D surfaces"); +asyinclude("../examples/sinc",25cm); + +title("Curved 3D Arrows"); +asyinclude("../examples/arrows3",20cm); + +title("Slide Presentations"); +item("Asymptote has a module for preparing slides."); +item("It even supports embedded high-resolution PDF movies."); + +code(' +title("Slide Presentations"); +item("Asymptote has a module for preparing slides."); +item("It even supports embedded high-resolution PDF movies."); +'); +remark("\quad\ldots"); + +import graph; + +pen p=linewidth(1); +pen dotpen=linewidth(5); + +pair wheelpoint(real t) {return (t+cos(t),-sin(t));} + +guide wheel(guide g=nullpath, real a, real b, int n) +{ + real width=(b-a)/n; + for(int i=0; i <= n; ++i) { + real t=a+width*i; + g=g--wheelpoint(t); + } + return g; +} + +real t1=0; +real t2=t1+2*pi; + +picture base; +draw(base,circle((0,0),1),p); +draw(base,wheel(t1,t2,100),p+linetype("0 2")); +yequals(base,Label("$y=-1$",1.0),-1,extend=true,p+linetype("4 4")); +xaxis(base,Label("$x$",align=3SW),0,p); +yaxis(base,"$y$",0,1.3,p); +pair z1=wheelpoint(t1); +pair z2=wheelpoint(t2); +dot(base,z1,dotpen); +dot(base,z2,dotpen); + +animation a; + +int n=25; +real dt=(t2-t1)/n; +for(int i=0; i <= n; ++i) { + picture pic; + size(pic,24cm); + real t=t1+dt*i; + add(pic,base); + draw(pic,circle((t,0),1),p+red); + dot(pic,wheelpoint(t),dotpen); + a.add(pic); +} + +display(a.pdf(delay=150,"controls")); + +title("Automatic Sizing"); +item("Figures can be specified in user coordinates, then + automatically scaled to the desired final size."); +asyfigure(asywrite(" +import graph; + +size(0,100); + +frame cardsize(real w=0, real h=0, bool keepAspect=Aspect) { + picture pic; + pic.size(w,h,keepAspect); + + real f(real t) {return 1+cos(t);} + + guide g=polargraph(f,0,2pi,operator ..)--cycle; + filldraw(pic,g,pink); + + xaxis(pic,\"$x$\",above=true); + yaxis(pic,\"$y$\",above=true); + + dot(pic,\"$(a,0)$\",(1,0),N); + dot(pic,\"$(2a,0)$\",(2,0),N+E); + + frame f=pic.fit(); + label(f,\"{\tt size(\"+string(w)+\",\"+string(h)+\");}\",point(f,S),align=S); + return f; +} + +add(cardsize(0,50), (0,0)); +add(cardsize(0,100), (230,0)); +add(cardsize(0,200), (540,0)); +")); + +title("Deferred Drawing"); +item("We can't draw a graphical object until we know the scaling + factors for the user coordinates."); +item("Instead, store a function that, given the scaling information, draws + the scaled object."); +code(" +void draw(picture pic=currentpicture, path g, pen p=currentpen) { + pic.add(new void(frame f, transform t) { + draw(f,t*g,p); + }); + pic.addPoint(min(g),min(p)); + pic.addPoint(max(g),max(p)); +} +"); + +title("Coordinates"); +item("Store bounding box information as the sum of user and true-size + coordinates:"); +asyfigure(asywrite(" +size(0,150); + +path q=(0,0){dir(70)}..{dir(70)}(100,50); +pen p=rotate(30)*yscale(0.7)*(lightblue+linewidth(20)); +draw(q,p); +draw((90,10),p); + +currentpicture.add(new void(frame f, transform t) { + draw(f,box(min(t*q)+min(p),max(t*q)+max(p)), dashed); + }); + +draw(box(min(q),max(q))); + +frame f; +draw(f,box(min(p),max(p))); + +add(f,min(q)); +add(f,max(q)); + +draw(q); +")); + +code("pic.addPoint(min(g),min(p)); +pic.addPoint(max(g),max(p));"); +item("Filling ignores the pen width:"); +code("pic.addPoint(min(g),(0,0)); +pic.addPoint(max(g),(0,0));"); +item("Communicate with \LaTeX\ {\it via\/} a pipe to determine label sizes:"); + +asyfigure(asywrite(" +size(0,100); + +pen p=fontsize(30pt); +frame f; +label(f, \"$E=mc^2$\", p); +draw(f, box(min(f),max(f))); +shipout(f); +")); + +title("Sizing"); + +item("When scaling the final figure to a given size $S$, we first need to + determine a scaling factor $a>0$ and a shift $b$ so that all of the + coordinates when transformed will lie in the interval $[0,S]$."); + +item("That is, if $u$ and $t$ are the user and truesize components:"); +equation("0\le au+t+b \le S."); + +item("Maximize the variable $a$ subject to a number of inequalities."); + +item("Use the simplex method to solve the resulting linear programming problem."); + +if(long) { +title("Sizing"); +item("Every addition of a coordinate $(t,u)$ adds two restrictions"); +equation("au+t+b\ge 0,"); +equation("au+t+b\le S,"); +remark("and each drawing component adds two coordinates."); +item("A figure could easily produce thousands of restrictions, making the + simplex method impractical."); + +item("Most of these restrictions are redundant, however. For instance, with + concentric circles, only the largest circle needs to be accounted for."); +asyfigure(asywrite(" +import palette; +size(160,0); +pen[] p=Rainbow(NColors=11); +for(int i=1; i<10; ++i) { + draw(scale(i)*unitcircle, p[i]+linewidth(2)); +} +")); + +title("Redundant Restrictions"); +item("In general, if $u\le u'$ and $t\le t'$ then"); +equation("au+t+b\le au'+t'+b"); +remark("for all choices of $a>0$ and $b$, so"); +equation("0\le au+t+b\le au'+t'+b\le S."); +item("This defines a partial ordering on coordinates. When sizing a picture, + the program first computes which coordinates are maximal (or minimal) and + only sends effective constraints to the simplex algorithm."); +item("In practice, the linear programming problem will have less than a dozen + restraints."); +item("All picture sizing is implemented in Asymptote code."); +} + +title("Infinite Lines"); +item("Deferred drawing allows us to draw infinite lines."); +code("drawline(P, Q);"); + +asyfigure("elliptic","height=12cm"); + +title("Helpful Math Notation"); + +item("Integer division returns a {\tt real}. Use {\tt quotient} for an integer + result:"); +code("3/4 == 0.75 quotient(3,4) == 0"); + +item("Caret for real and integer exponentiation:"); +code("2^3 2.7^3 2.7^3.2"); + +item("Many expressions can be implicitly scaled by a numeric constant:"); +code("2pi 10cm 2x^2 3sin(x) 2(a+b)"); + +item("Pairs are complex numbers:"); +code("(0,1)*(0,1) == (-1,0)"); + +title("Function Calls"); + +item("Functions can take default arguments in any position. Arguments are + matched to the first possible location:"); +string unitsize="unitsize(0.65cm);"; +string preamble="void drawEllipse(real xsize=1, real ysize=xsize, pen p=blue) { + draw(xscale(xsize)*yscale(ysize)*unitcircle, p); +} +"; + +asycode(preamble=unitsize,preamble+" +drawEllipse(2); +drawEllipse(red); +"); + +item("Arguments can be given by name:"); +asycode(preamble=unitsize+preamble," +drawEllipse(xsize=2, ysize=1); +drawEllipse(ysize=2, xsize=3, green); +"); + +if(long) { +title("Rest Arguments"); +item("Rest arguments allow one to write a function that takes an arbitrary + number of arguments:"); +code(" +int sum(... int[] nums) { + int total=0; + for(int i=0; i < nums.length; ++i) + total += nums[i]; + return total; +} + +sum(1,2,3,4); // returns 10 +sum(); // returns 0 +sum(1,2,3 ... new int[] {4,5,6}); // returns 21 + +int subtract(int start ... int[] subs) { + return start - sum(... subs); +} +"); +} + +title("High-Order Functions"); + +item("Functions are first-class values. They can be passed to other + functions:"); +code("import graph; +real f(real x) { + return x*sin(10x); +} +draw(graph(f,-3,3,300),red);"); +asyfigure(asywrite(" +import graph; +size(300,0); +real f(real x) { + return x*sin(10x); +} +draw(graph(f,-3,3,300),red); +")); + +if(long) { +title("Higher-Order Functions"); +item("Functions can return functions:"); +equation("f_n(x)=n\sin\left(\frac{x}{n}\right)."); +skip(); +string preamble=" +import graph; +size(300,0); +"; +string graphfunc2=" +typedef real func(real); +func f(int n) { + real fn(real x) { + return n*sin(x/n); + } + return fn; +} + +func f1=f(1); +real y=f1(pi); + +for(int i=1; i<=5; ++i) + draw(graph(f(i),-10,10),red); +"; +code(graphfunc2); +string name=asywrite(graphfunc2,preamble=preamble); +asy(nativeformat(),name+".asy"); +label(graphic(name+"."+nativeformat()),(0.5,0), + Fill(figureborder,figuremattpen)); + +title("Anonymous Functions"); + +item("Create new functions with {\tt new}:"); +code(" +path p=graph(new real (real x) { return x*sin(10x); },-3,3,red); + +func f(int n) { + return new real (real x) { return n*sin(x/n); }; +}"); + +item("Function definitions are just syntactic sugar for assigning function +objects to variables."); +code(" +real square(real x) { + return x^2; +} +"); + +remark("is equivalent to"); +code(" +real square(real x); +square=new real (real x) { + return x^2; +}; +"); + +title("Structures"); + +item("As in other languages, structures group together data."); +code(" +struct Person { + string firstname, lastname; + int age; +} +Person bob=new Person; +bob.firstname=\"Bob\"; +bob.lastname=\"Chesterton\"; +bob.age=24; +"); + +item("Any code in the structure body will be executed every time a new structure + is allocated..."); +code(" +struct Person { + write(\"Making a person.\"); + string firstname, lastname; + int age=18; +} +Person eve=new Person; // Writes \"Making a person.\" +write(eve.age); // Writes 18. +"); + +title("Modules"); + +item("Function and structure definitions can be grouped into modules:"); +code(" +// powers.asy +real square(real x) { return x^2; } +real cube(real x) { return x^3; } +"); +remark("and imported:"); +code(" +import powers; +real eight=cube(2.0); +draw(graph(powers.square, -1, 1)); +"); +} + +title("Object-Oriented Programming"); +item("Functions are defined for each instance of a structure."); +code(" +struct Quadratic { + real a,b,c; + real discriminant() { + return b^2-4*a*c; + } + real eval(real x) { + return a*x^2 + b*x + c; + } +} +"); + +item("This allows us to construct ``methods'' which are just normal functions + declared in the environment of a particular object:"); +code(" +Quadratic poly=new Quadratic; +poly.a=-1; poly.b=1; poly.c=2; + +real f(real x)=poly.eval; +real y=f(2); +draw(graph(poly.eval, -5, 5)); +"); + +title("Specialization"); + +item("Can create specialized objects just by redefining methods:"); +code(" +struct Shape { + void draw(); + real area(); +} + +Shape rectangle(real w, real h) { + Shape s=new Shape; + s.draw = new void () { + fill((0,0)--(w,0)--(w,h)--(0,h)--cycle); }; + s.area = new real () { return w*h; }; + return s; +} + +Shape circle(real radius) { + Shape s=new Shape; + s.draw = new void () { fill(scale(radius)*unitcircle); }; + s.area = new real () { return pi*radius^2; } + return s; +} +"); + +title("Overloading"); +item("Consider the code:"); +code(" +int x1=2; +int x2() { + return 7; +} +int x3(int y) { + return 2y; +} + +write(x1+x2()); // Writes 9. +write(x3(x1)+x2()); // Writes 11. +"); + +title("Overloading"); +item("{\tt x1}, {\tt x2}, and {\tt x3} are never used in the same context, so + they can all be renamed {\tt x} without ambiguity:"); +code(" +int x=2; +int x() { + return 7; +} +int x(int y) { + return 2y; +} + +write(x+x()); // Writes 9. +write(x(x)+x()); // Writes 11. +"); + +item("Function definitions are just variable definitions, but variables are + distinguished by their signatures to allow overloading."); + +title("Operators"); +item("Operators are just syntactic sugar for functions, and can be addressed or + defined as functions with the {\tt operator} keyword."); +code(" +int add(int x, int y)=operator +; +write(add(2,3)); // Writes 5. + +// Don't try this at home. +int operator +(int x, int y) { + return add(2x,y); +} +write(2+3); // Writes 7. +"); +item("This allows operators to be defined for new types."); + +title("Operators"); +item("Operators for constructing paths are also functions:"); +code("a.. controls b and c .. d--e"); +remark("is equivalent to"); +code( + "operator --(operator ..(a, operator controls(b,c), d), e)"); +item("This allowed us to redefine all of the path operators for 3D paths."); + +title("Summary"); + +item("Asymptote:"); +subitem("uses IEEE floating point numerics;"); +subitem("uses C++/Java-like syntax;"); +subitem("supports deferred drawing for automatic picture sizing;"); +subitem("supports Grayscale, RGB, CMYK, and HSV colour spaces;"); +subitem("supports PostScript shading, pattern fills, and function shading;"); +subitem("can fill nonsimply connected regions;"); +subitem("generalizes MetaPost path construction algorithms to 3D;"); +subitem("lifts \TeX\ to 3D;"); +subitem("supports 3D billboard labels and PDF grouping."); + +bibliography("refs"); + +viewportmargin=(2,2); +viewportsize=0; +defaultpen(0.5); +title("\mbox{Asymptote: 2D \& 3D Vector Graphics Language}"); +asyinclude("../examples/logo3"); +skip(); +center("\tt http://asymptote.sf.net"); +center("(freely available under the LGPL license)"); + +// LocalWords: pdflatex mflogo viewportsize pagewidth pagemargin goysr bibtex +// LocalWords: itempen defaultrender medskip Orest Shardt Vidiassov MF ezier +// LocalWords: Hammerlindl MetaPost PDF hfill LGPL pdf asywrite zoombox LaTeX +// LocalWords: asyfilecode PostScript asycode unitsquare beziercurve grey bw +// LocalWords: lightgrey zerowinding evenodd sw unitsize drawEllipse nums fn +// LocalWords: frac graphfunc func nativeformat figureborder figuremattpen bt +// LocalWords: firstname lastname eval eetomumu binarytree filecode datagraph +// LocalWords: lineargraph filegraph loggraph secondaryaxis imagecontour ij +// LocalWords: tridiagonal Hobbydir nonumber Hobbycontrol th viewportmargin +// LocalWords: asyinclude dotpen wheelpoint yequals xaxis yaxis cardsize mc +// LocalWords: polargraph filldraw addPoint lightblue truesize le au NColors +// LocalWords: drawline unityroot mult oct intang IEEE numerics HSV colour +// LocalWords: nonsimply diff --git a/Master/texmf-dist/doc/asymptote/examples/irregularcontour.asy b/Master/texmf-dist/doc/asymptote/examples/irregularcontour.asy new file mode 100644 index 00000000000..70b38ae15e7 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/irregularcontour.asy @@ -0,0 +1,21 @@ +import contour; + +size(200); + +int n=100; + +real f(real a, real b) {return a^2+b^2;} + +srand(1); + +real r() {return 1.1*(rand()/randMax*2-1);} + +pair[] points=new pair[n]; +real[] values=new real[n]; + +for(int i=0; i < n; ++i) { + points[i]=(r(),r()); + values[i]=f(points[i].x,points[i].y); +} + +draw(contour(points,values,new real[]{0.25,0.5,1},operator ..),blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/join.asy b/Master/texmf-dist/doc/asymptote/examples/join.asy new file mode 100644 index 00000000000..75fa14f36ca --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/join.asy @@ -0,0 +1,15 @@ +size(300,0); +pair[] z=new pair[10]; + +z[0]=(0,100); z[1]=(50,0); z[2]=(180,0); + +for(int n=3; n <= 9; ++n) + z[n]=z[n-3]+(200,0); + +path p=z[0]..z[1]---z[2]::{up}z[3] +&z[3]..z[4]--z[5]::{up}z[6] +&z[6]::z[7]---z[8]..{up}z[9]; + +draw(p,grey+linewidth(4mm)); + +dot(z); diff --git a/Master/texmf-dist/doc/asymptote/examples/join3.asy b/Master/texmf-dist/doc/asymptote/examples/join3.asy new file mode 100644 index 00000000000..9513d522b4d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/join3.asy @@ -0,0 +1,21 @@ +import graph3; + +size(200); + +currentprojection=orthographic(500,-500,500); + +triple[] z=new triple[10]; + +z[0]=(0,100,0); z[1]=(50,0,0); z[2]=(180,0,0); + +for(int n=3; n <= 9; ++n) + z[n]=z[n-3]+(200,0,0); + +path3 p=z[0]..z[1]---z[2]::{Y}z[3] +&z[3]..z[4]--z[5]::{Y}z[6] +&z[6]::z[7]---z[8]..{Y}z[9]; + +draw(p,grey+linewidth(4mm),currentlight); + +xaxis3(Label(XY()*"$x$",align=-3Y),red,above=true); +yaxis3(Label(XY()*"$y$",align=-3X),red,above=true); diff --git a/Master/texmf-dist/doc/asymptote/examples/jump.asy b/Master/texmf-dist/doc/asymptote/examples/jump.asy new file mode 100644 index 00000000000..7ae19be3886 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/jump.asy @@ -0,0 +1,14 @@ +import graph; +size(4inches,0); + +real f1(real x) {return (1+x^2);} +real f2(real x) {return (4-x);} + +xaxis("$x$",LeftTicks,Arrow); +yaxis("$y$",RightTicks,Arrow); + +draw("$y=1+x^2$",graph(f1,-2,1)); +dot((1,f1(1)),UnFill); + +draw("$y=4-x$",graph(f2,1,5),LeftSide,red,Arrow); +dot((1,f2(1)),red); diff --git a/Master/texmf-dist/doc/asymptote/examples/knots.asy b/Master/texmf-dist/doc/asymptote/examples/knots.asy new file mode 100644 index 00000000000..48881459d05 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/knots.asy @@ -0,0 +1,27 @@ +import syzygy; + +Braid initial; +initial.n = 4; +initial.add(bp,1); +initial.add(bp,0); +initial.add(bp,2); +initial.add(bp,1); +initial.add(phi,2); +initial.add(phi,0); + +Syzygy pp; +pp.lsym="\Phi\Phi"; pp.codename="PhiAroundPhi"; + +pp.number=true; +pp.initial=initial; +pp.apply(r4b,2,1); +pp.apply(r4b,0,0); +pp.apply(r4a,1,0); +pp.swap(0,1); +pp.apply(-r4b,1,0); +pp.apply(-r4a,0,1); +pp.apply(-r4a,2,0); +pp.swap(4,5); + +pp.draw(); + diff --git a/Master/texmf-dist/doc/asymptote/examples/label3.asy b/Master/texmf-dist/doc/asymptote/examples/label3.asy new file mode 100644 index 00000000000..f8d5e07049f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/label3.asy @@ -0,0 +1,7 @@ +import three; + +currentprojection=perspective(0,0,1,up=Y); + +label(scale(4)*"$\displaystyle\int_{-\infty}^{+\infty} e^{-\alpha x^2}\,dx= +\sqrt{\frac{\pi}{\alpha}}$",O,blue,Embedded); + diff --git a/Master/texmf-dist/doc/asymptote/examples/label3ribbon.asy b/Master/texmf-dist/doc/asymptote/examples/label3ribbon.asy new file mode 100644 index 00000000000..59ccbc9237c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/label3ribbon.asy @@ -0,0 +1,6 @@ +import three; + +currentprojection=perspective(100,100,200,up=Y); + +draw(scale3(4)*extrude(texpath("$\displaystyle\int_{-\infty}^{+\infty} +e^{-\alpha x^2}\,dx=\sqrt{\frac{\pi}{\alpha}}$"),2Z),blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/label3solid.asy b/Master/texmf-dist/doc/asymptote/examples/label3solid.asy new file mode 100644 index 00000000000..476d41fdbc3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/label3solid.asy @@ -0,0 +1,6 @@ +import three; + +currentprojection=perspective(100,100,200,up=Y); + +draw(scale3(4)*extrude("$\displaystyle\int_{-\infty}^{+\infty} +e^{-\alpha x^2}\,dx=\sqrt{\frac{\pi}{\alpha}}$",2Z),blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/label3zoom.asy b/Master/texmf-dist/doc/asymptote/examples/label3zoom.asy new file mode 100644 index 00000000000..7eafccd8fcd --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/label3zoom.asy @@ -0,0 +1,16 @@ +import three; + +currentlight=Headlamp; +size(469.75499pt,0); + +currentprojection=perspective( +camera=(160.119024441391,136.348802919248,253.822628496226), +up=(-0.188035408976828,0.910392236102215,-0.368549401594584), +target=(25.5462739598034,1.77605243766079,-9.93996244768584), +zoom=5.59734733413271, +angle=5.14449021168139, +viewportshift=(0.813449720559684,-0.604674743165144), +autoadjust=false); + +draw(scale3(4)*extrude("$\displaystyle\int\limits_{-\infty}^{+\infty}\!\! e^{-\alpha x^2}\!\!=\sqrt{\frac{\pi}{\alpha}}$",2Z), + material(blue,ambientpen=mediumgray)); diff --git a/Master/texmf-dist/doc/asymptote/examples/labelbox.asy b/Master/texmf-dist/doc/asymptote/examples/labelbox.asy new file mode 100644 index 00000000000..38153b856e5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/labelbox.asy @@ -0,0 +1,11 @@ +size(0,100); +real margin=2mm; +pair z1=(0,1); +pair z0=(0,0); + +object Box=draw("small box",box,z1,margin); +object Ellipse=draw("LARGE ELLIPSE",ellipse,z0,margin); + +add(new void(frame f, transform t) { + draw(f,point(Box,SW,t){SW}..{SW}point(Ellipse,NNE,t)); + }); diff --git a/Master/texmf-dist/doc/asymptote/examples/labelsquare.asy b/Master/texmf-dist/doc/asymptote/examples/labelsquare.asy new file mode 100644 index 00000000000..9531792b6a1 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/labelsquare.asy @@ -0,0 +1,6 @@ +size(3cm); +draw(unitsquare); +label("$A$",(0,0),SW); +label("$B$",(1,0),SE); +label("$C$",(1,1),NE); +label("$D$",(0,1),NW); diff --git a/Master/texmf-dist/doc/asymptote/examples/laserlattice.asy b/Master/texmf-dist/doc/asymptote/examples/laserlattice.asy new file mode 100644 index 00000000000..da4d9a49b7c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/laserlattice.asy @@ -0,0 +1,44 @@ +import graph; +import palette; + +int n=256; +pen[] Palette=BWRainbow(); + +real w(real w0, real z0, real z) {return w0*sqrt(1+(z/z0)^2);} + +real pot(real lambda, real w0, real r, real z) +{ + real z0=pi*w0^2/lambda, kappa=2pi/lambda; + return exp(-2*(r/w(w0,z0,z))^2)*cos(kappa*z)^2; +} + +picture make_field(real lambda, real w0) +{ + real[][] v=new real[n][n]; + for(int i=0; i < n; ++i) + for(int j=0; j < n; ++j) + v[i][j]=pot(lambda,w0,i-n/2,abs(j-n/2)); + + picture p=new picture; + size(p,250,250,IgnoreAspect); + real xm=-n/lambda, ym=-n/(2*w0), xx=n/lambda, yx=n/(2*w0); + image(p,v,(xm,ym),(xx,yx),Palette); + xlimits(p,xm,xx); + ylimits(p,ym,yx); + xaxis(p,"{\Large $z/\frac{\lambda}{2}$}",BottomTop,LeftTicks); + yaxis(p,"{\Large $r/w_0$}",LeftRight,RightTicks); + label(p,format("{\LARGE $w_0/\lambda=%.2f$}",w0/lambda),point(p,NW),5N); + + return p; +} + +picture p=make_field(160,80); +picture q=make_field(80,80); +picture r=make_field(16,80); +picture s=make_field(2,80); + +real margin=1cm; +add(p.fit(),(0,0),margin*NW); +add(q.fit(),(0,0),margin*NE); +add(r.fit(),(0,0),margin*SW); +add(s.fit(),(0,0),margin*SE); diff --git a/Master/texmf-dist/doc/asymptote/examples/latexusage.tex b/Master/texmf-dist/doc/asymptote/examples/latexusage.tex new file mode 100644 index 00000000000..910cef5bf10 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/latexusage.tex @@ -0,0 +1,117 @@ +\documentclass[12pt]{article} + +% Use this form to include EPS (latex) or PDF (pdflatex) files: +\usepackage{asymptote} + +% Use this form with latex or pdflatex to include inline LaTeX code by default: +%\usepackage[inline]{asymptote} + +% Use this form with latex or pdflatex to create PDF attachments by default: +%\usepackage[attach]{asymptote} + +% Enable this line to support the attach option: +%\usepackage[dvips]{attachfile2} + +\begin{document} + +% Optional subdirectory for asy files (no spaces): +\def\asydir{} + +\begin{asydef} +// Global Asymptote definitions can be put here. +import three; +usepackage("bm"); +texpreamble("\def\V#1{\bm{#1}}"); +// One can globally override the default toolbar settings here: +// settings.toolbar=true; +\end{asydef} + +Here is a venn diagram produced with Asymptote, drawn to width 4cm: + +\def\A{A} +\def\B{\V{B}} + +%\begin{figure} +\begin{center} +\begin{asy} +size(4cm,0); +pen colour1=red; +pen colour2=green; + +pair z0=(0,0); +pair z1=(-1,0); +pair z2=(1,0); +real r=1.5; +path c1=circle(z1,r); +path c2=circle(z2,r); +fill(c1,colour1); +fill(c2,colour2); + +picture intersection=new picture; +fill(intersection,c1,colour1+colour2); +clip(intersection,c2); + +add(intersection); + +draw(c1); +draw(c2); + +//draw("$\A$",box,z1); // Requires [inline] package option. +//draw(Label("$\B$","$B$"),box,z2); // Requires [inline] package option. +draw("$A$",box,z1); +draw("$\V{B}$",box,z2); + +pair z=(0,-2); +real m=3; +margin BigMargin=Margin(0,m*dot(unit(z1-z),unit(z0-z))); + +draw(Label("$A\cap B$",0),conj(z)--z0,Arrow,BigMargin); +draw(Label("$A\cup B$",0),z--z0,Arrow,BigMargin); +draw(z--z1,Arrow,Margin(0,m)); +draw(z--z2,Arrow,Margin(0,m)); + +shipout(bbox(0.25cm)); +\end{asy} +%\caption{Venn diagram}\label{venn} +\end{center} +%\end{figure} + +Each graph is drawn in its own environment. One can specify the width +and height to \LaTeX\ explicitly. This 3D example can be viewed +interactively either with Adobe Reader or Asymptote's fast OpenGL-based +renderer. To support {\tt latexmk}, 3D figures should specify +\verb+inline=true+. It is sometimes desirable to embed 3D files as annotated +attachments; this requires the \verb+attach=true+ option as well as the +\verb+attachfile2+ \LaTeX\ package. +\begin{center} +\begin{asy}[height=4cm,inline=true,attach=false,viewportwidth=\linewidth] +currentprojection=orthographic(5,4,2); +draw(unitcube,blue); +label("$V-E+F=2$",(0,1,0.5),3Y,blue+fontsize(17pt)); +\end{asy} +\end{center} + +One can also scale the figure to the full line width: +\begin{center} +\begin{asy}[width=\the\linewidth,inline=true] +pair z0=(0,0); +pair z1=(2,0); +pair z2=(5,0); +pair zf=z1+0.75*(z2-z1); + +draw(z1--z2); +dot(z1,red+0.15cm); +dot(z2,darkgreen+0.3cm); +label("$m$",z1,1.2N,red); +label("$M$",z2,1.5N,darkgreen); +label("$\hat{\ }$",zf,0.2*S,fontsize(24pt)+blue); + +pair s=-0.2*I; +draw("$x$",z0+s--z1+s,N,red,Arrows,Bars,PenMargins); +s=-0.5*I; +draw("$\bar{x}$",z0+s--zf+s,blue,Arrows,Bars,PenMargins); +s=-0.95*I; +draw("$X$",z0+s--z2+s,darkgreen,Arrows,Bars,PenMargins); +\end{asy} +\end{center} +\end{document} diff --git a/Master/texmf-dist/doc/asymptote/examples/latticeshading.asy b/Master/texmf-dist/doc/asymptote/examples/latticeshading.asy new file mode 100644 index 00000000000..c6689fa72d5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/latticeshading.asy @@ -0,0 +1,7 @@ +size(200); + +pen[][] p={{white,grey,black}, + {red,green,blue}, + {cyan,magenta,yellow}}; + +latticeshade(unitsquare,p); diff --git a/Master/texmf-dist/doc/asymptote/examples/layers.asy b/Master/texmf-dist/doc/asymptote/examples/layers.asy new file mode 100644 index 00000000000..4fe745f6a3c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/layers.asy @@ -0,0 +1,44 @@ +usepackage("ocg"); +settings.tex="pdflatex"; + +size(0,150); + +pen colour1=red; +pen colour2=green; + +pair z0=(0,0); +pair z1=(-1,0); +pair z2=(1,0); +real r=1.5; +path c1=circle(z1,r); +path c2=circle(z2,r); + +begin("A"); +fill(c1,colour1); +end(); + +fill(c2,colour2); + +picture intersection; +fill(intersection,c1,colour1+colour2); +clip(intersection,c2); + +add(intersection); + +draw(c1); +draw(c2); + +label("$A$",z1); + +begin("B"); +label("$B$",z2); +end(); + +pair z=(0,-2); +real m=3; +margin BigMargin=Margin(0,m*dot(unit(z1-z),unit(z0-z))); + +draw(Label("$A\cap B$",0),conj(z)--z0,Arrow,BigMargin); +draw(Label("$A\cup B$",0),z--z0,Arrow,BigMargin); +draw(z--z1,Arrow,Margin(0,m)); +draw(z--z2,Arrow,Margin(0,m)); diff --git a/Master/texmf-dist/doc/asymptote/examples/leastsquares.asy b/Master/texmf-dist/doc/asymptote/examples/leastsquares.asy new file mode 100644 index 00000000000..cb2b8f3a42b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/leastsquares.asy @@ -0,0 +1,55 @@ +size(400,200,IgnoreAspect); + +import graph; +import stats; + +file fin=input("leastsquares.dat").line(); + +real[][] a=fin.dimension(0,0); +a=transpose(a); + +real[] t=a[0], rho=a[1]; + +// Read in parameters from the keyboard: +//real first=getreal("first"); +//real step=getreal("step"); +//real last=getreal("last"); + +real first=100; +real step=50; +real last=700; + +// Remove negative or zero values of rho: +t=rho > 0 ? t : null; +rho=rho > 0 ? rho : null; + +scale(Log(true),Linear(true)); + +int n=step > 0 ? ceil((last-first)/step) : 0; + +real[] T,xi,dxi; + +for(int i=0; i <= n; ++i) { + real first=first+i*step; + real[] logrho=(t >= first & t <= last) ? log(rho) : null; + real[] logt=(t >= first & t <= last) ? -log(t) : null; + + if(logt.length < 2) break; + + // Fit to the line logt=L.m*logrho+L.b: + linefit L=leastsquares(logt,logrho); + + T.push(first); + xi.push(L.m); + dxi.push(L.dm); +} + +draw(graph(T,xi),blue); +errorbars(T,xi,dxi,red); + +crop(); + +ylimits(0); + +xaxis("$T$",BottomTop,LeftTicks); +yaxis("$\xi$",LeftRight,RightTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/leastsquares.dat b/Master/texmf-dist/doc/asymptote/examples/leastsquares.dat new file mode 100644 index 00000000000..a4d63d6e100 --- /dev/null +++ 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+848 12 +849 12 +850 12 +851 12 +852 12 +853 12 +854 12 +855 12 +856 11 +857 10 +858 11 +859 12 +860 11 +861 11 +862 11 +863 10 +864 10 +865 10 +866 11 +867 10 +868 10 +869 10 +870 11 +871 11 +872 12 +873 12 +874 12 +875 12 +876 12 +877 12 +878 12 +879 12 +880 12 +881 0 +882 0 diff --git a/Master/texmf-dist/doc/asymptote/examples/legend.asy b/Master/texmf-dist/doc/asymptote/examples/legend.asy new file mode 100644 index 00000000000..09a31868ae4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/legend.asy @@ -0,0 +1,15 @@ +import graph; +size(8cm,6cm,IgnoreAspect); + +typedef real realfcn(real); +realfcn F(real p) { + return new real(real x) {return sin(p*x);}; +}; + +for(int i=1; i < 5; ++i) + draw(graph(F(i*pi),0,1),Pen(i), + "$\sin("+(i == 1 ? "" : (string) i)+"\pi x)$"); +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks(trailingzero)); + +attach(legend(2),(point(S).x,truepoint(S).y),10S,UnFill); diff --git a/Master/texmf-dist/doc/asymptote/examples/lever.asy b/Master/texmf-dist/doc/asymptote/examples/lever.asy new file mode 100644 index 00000000000..a0c81f5a47a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/lever.asy @@ -0,0 +1,23 @@ +size(200,0); + +pair z0=(0,0); +pair z1=(2,0); +pair z2=(5,0); +pair zf=z1+0.75*(z2-z1); + +draw(z1--z2); +dot(z1,red+0.15cm); +dot(z2,darkgreen+0.3cm); +label("$m$",z1,1.2N,red); +label("$M$",z2,1.5N,darkgreen); +label("$\hat{\ }$",zf,0.2*S,fontsize(24pt)+blue); + +pair s=-0.2*I; +draw("$x$",z0+s--z1+s,N,red,Arrows,Bars,PenMargins); + +s=-0.5*I; +draw("$\bar{x}$",z0+s--zf+s,blue,Arrows,Bars,PenMargins); + +s=-0.95*I; +draw("$X$",z0+s--z2+s,darkgreen,Arrows,Bars,PenMargins); + diff --git a/Master/texmf-dist/doc/asymptote/examples/limit.asy b/Master/texmf-dist/doc/asymptote/examples/limit.asy new file mode 100644 index 00000000000..ef71928941e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/limit.asy @@ -0,0 +1,28 @@ +size(200,200,IgnoreAspect); +import graph; + +real L=1; +real epsilon=0.25; + +real a(int n) {return L+1/n;} + +for(int i=1; i < 20; ++i) + dot((i,a(i))); + +real N=1/epsilon; + +xaxis(Label("$n$",align=2S)); +yaxis(Label("$a_n$",0.85)); + +xtick("$2$",2); +ytick("$\frac{3}{2}$",3/2); +ytick("$2$",2); + +yequals(Label("$L$",0,up),L,extend=true,blue); +yequals(Label("$L+\epsilon$",1,NW),L+epsilon,extend=true,red+dashed); +yequals(Label("$L-\epsilon$",1,SW),L-epsilon,extend=true,red+dashed); + +xequals(N,extend=true,darkgreen+dashed); +labelx(shift(0,-10)*"$N=\frac{1}{\epsilon}$",N,E,darkgreen); + +label("$a_n=1+\frac{1}{n},\quad \epsilon=\frac{1}{4}$",point((0,1)),10S+E); diff --git a/Master/texmf-dist/doc/asymptote/examples/lineargraph.asy b/Master/texmf-dist/doc/asymptote/examples/lineargraph.asy new file mode 100644 index 00000000000..c352311ee72 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/lineargraph.asy @@ -0,0 +1,16 @@ +import graph; + +size(250,200,IgnoreAspect); + +real Sin(real t) {return sin(2pi*t);} +real Cos(real t) {return cos(2pi*t);} + +draw(graph(Sin,0,1),red,"$\sin(2\pi x)$"); +draw(graph(Cos,0,1),blue,"$\cos(2\pi x)$"); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks(trailingzero)); + +label("LABEL",point(0),UnFill(1mm)); + +attach(legend(),truepoint(E),20E,UnFill); diff --git a/Master/texmf-dist/doc/asymptote/examples/lineargraph0.asy b/Master/texmf-dist/doc/asymptote/examples/lineargraph0.asy new file mode 100644 index 00000000000..fc344181d51 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/lineargraph0.asy @@ -0,0 +1,16 @@ +import graph; + +size(400,200,IgnoreAspect); + +real Sin(real t) {return sin(2pi*t);} +real Cos(real t) {return cos(2pi*t);} + +draw(graph(Sin,0,1),red,"$\sin(2\pi x)$"); +draw(graph(Cos,0,1),blue,"$\cos(2\pi x)$"); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks(trailingzero)); + +label("LABEL",point(0),UnFill(1mm)); + +add(legend(),point(E),20E,UnFill); diff --git a/Master/texmf-dist/doc/asymptote/examples/lines.asy b/Master/texmf-dist/doc/asymptote/examples/lines.asy new file mode 100644 index 00000000000..9749f73a350 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/lines.asy @@ -0,0 +1,10 @@ +import math; + +int n=7; + +size(200,0); + +draw(unitcircle,red); +for (int i=0; i < n-1; ++i) + for (int j=i+1; j < n; ++j) + drawline(unityroot(n,i),unityroot(n,j),blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/linetype.asy b/Master/texmf-dist/doc/asymptote/examples/linetype.asy new file mode 100644 index 00000000000..dc4762c2478 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/linetype.asy @@ -0,0 +1,13 @@ +void testline(real y) { + draw((0,y)--(100,y),currentpen+solid); + draw((0,y-10)--(100,y-10),currentpen+dotted); + draw((0,y-20)--(100,y-20),currentpen+dashed); + draw((0,y-30)--(100,y-30),currentpen+longdashed); + draw((0,y-40)--(100,y-40),currentpen+dashdotted); + draw((0,y-50)--(100,y-50),currentpen+longdashdotted); + draw((0,y-60)--(100,y-60),currentpen+Dotted); +} + +currentpen=linewidth(0.5); +testline(100); + diff --git a/Master/texmf-dist/doc/asymptote/examples/lmfit1.asy b/Master/texmf-dist/doc/asymptote/examples/lmfit1.asy new file mode 100644 index 00000000000..c25a7c4b4be --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/lmfit1.asy @@ -0,0 +1,37 @@ +import lmfit; +import graph; + +size(10cm, 7cm, IgnoreAspect); + +real[] date = { 1790, 1800, 1810, 1820, 1830, 1840, 1850, 1860, 1870, 1880, +1890, 1900, 1910, 1920, 1930, 1940, 1950, 1960, 1970, 1980, 1990 }; +real[] population = { 3.929, 5.308, 7.240, 9.638, 12.866, 17.069, 23.192, 31.443, +38.558, 50.156, 62.948, 75.996, 91.972, 105.711, 122.775, 131.669, 150.697, +179.323, 203.185, 226.546, 248.710 }; + +real t0 = 1776; + +real P(real[] params, real t) { + real P0 = params[0]; + real K = params[1]; + real r = params[2]; + return (K * P0) / (P0 + (K - P0) * exp(-r * (t - t0))); +} + +real[] params = { 10, 500, 0.1 }; + +real res = lmfit.fit(date, population, P, params).norm; + +write("P_0 = ", params[0]); +write("K = ", params[1]); +write("r = ", params[2]); +write("error = ", res); + +real P(real t) { + return P(params, t); +} + +draw(graph(date, population), blue); +draw(graph(P, t0, 2000), red); +xaxis("Year", BottomTop, LeftTicks); +yaxis("Population in millions", LeftRight, RightTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/log.asy b/Master/texmf-dist/doc/asymptote/examples/log.asy new file mode 100644 index 00000000000..532b7b782b6 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/log.asy @@ -0,0 +1,14 @@ +import graph; + +size(150,0); + +real f(real x) {return log(x);} +pair F(real x) {return (x,f(x));} + +xaxis("$x$",0); +yaxis("$y$"); + +draw(graph(f,0.01,10,operator ..)); + +labelx(1,SSE); +label("$\log x$",F(7),SE); diff --git a/Master/texmf-dist/doc/asymptote/examples/log2graph.asy b/Master/texmf-dist/doc/asymptote/examples/log2graph.asy new file mode 100644 index 00000000000..238f4126274 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/log2graph.asy @@ -0,0 +1,17 @@ +import graph; +size(200,IgnoreAspect); + +// Base-2 logarithmic scale on y-axis: + +real log2(real x) {static real log2=log(2); return log(x)/log2;} +real pow2(real x) {return 2^x;} + +scaleT yscale=scaleT(log2,pow2,logarithmic=true); +scale(Linear,yscale); + +real f(real x) {return 1+x^2;} + +draw(graph(f,-4,4)); + +yaxis("$y$",ymin=1,ymax=f(5),RightTicks(Label(Fill(white))),EndArrow); +xaxis("$x$",xmin=-5,xmax=5,LeftTicks,EndArrow); diff --git a/Master/texmf-dist/doc/asymptote/examples/logdown.asy b/Master/texmf-dist/doc/asymptote/examples/logdown.asy new file mode 100644 index 00000000000..25d10ed978e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/logdown.asy @@ -0,0 +1,13 @@ +import graph; +size(200,IgnoreAspect); + +real log10Down(real x) {return -log10(x);} +real pow10Down(real x) {return pow10(-x);} + +scaleT LogDown=scaleT(log10Down,pow10Down,logarithmic=true); +scale(Linear,LogDown); + +draw(graph(exp,-5,5)); + +yaxis("$y$",RightTicks(Label(Fill(white)),DefaultLogFormat),BeginArrow); +xaxis("$x$",LeftTicks(NoZero),EndArrow); diff --git a/Master/texmf-dist/doc/asymptote/examples/loggraph.asy b/Master/texmf-dist/doc/asymptote/examples/loggraph.asy new file mode 100644 index 00000000000..edd9d3e0a67 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/loggraph.asy @@ -0,0 +1,18 @@ +import graph; + +size(200,200,IgnoreAspect); + +real f(real t) {return 1/t;} + +scale(Log,Log); + +draw(graph(f,0.1,10)); + +//xlimits(1,10,Crop); +//ylimits(0.1,1,Crop); + +dot(Label("(3,5)",align=S),Scale((3,5))); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks); + diff --git a/Master/texmf-dist/doc/asymptote/examples/loggrid.asy b/Master/texmf-dist/doc/asymptote/examples/loggrid.asy new file mode 100644 index 00000000000..bb48a1e4ca8 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/loggrid.asy @@ -0,0 +1,13 @@ +import graph; +size(200,200,IgnoreAspect); + +real f(real t) {return 1/t;} + +scale(Log,Log); +draw(graph(f,0.1,10),red); +pen thin=linewidth(0.5*linewidth()); +xaxis("$x$",BottomTop,LeftTicks(begin=false,end=false,extend=true, + ptick=thin)); +yaxis("$y$",LeftRight,RightTicks(begin=false,end=false,extend=true, + ptick=thin)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/logimage.asy b/Master/texmf-dist/doc/asymptote/examples/logimage.asy new file mode 100644 index 00000000000..65d6bb53111 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/logimage.asy @@ -0,0 +1,22 @@ +import graph; +import palette; + +size(10cm,10cm,IgnoreAspect); + +real f(real x, real y) { + return 0.9*pow10(2*sin(x/5+2*y^0.25)) + 0.1*(1+cos(10*log(y))); +} + +scale(Linear,Log,Log); + +pen[] Palette=BWRainbow(); + +bounds range=image(f,Automatic,(0,1),(100,100),nx=200,Palette); + +xaxis("$x$",BottomTop,LeftTicks,above=true); +yaxis("$y$",LeftRight,RightTicks,above=true); + +palette("$f(x,y)$",range,(0,200),(100,250),Top,Palette, + PaletteTicks(ptick=linewidth(0.5*linewidth()))); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/logo.asy b/Master/texmf-dist/doc/asymptote/examples/logo.asy new file mode 100644 index 00000000000..d180558ad34 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/logo.asy @@ -0,0 +1,28 @@ +size(140,80,IgnoreAspect); + +picture logo(pair s=0, pen q) +{ + picture pic; + pen p=linewidth(2)+fontsize(24pt)+q; + real a=-0.4; + real b=0.95; + real y1=-5; + real y2=-3y1/2; + path A=(a,0){dir(10)}::{dir(89.5)}(0,y2); + draw(pic,A,p); + draw(pic,(0,y1){dir(88.3)}::{dir(20)}(b,0),p); + real c=0.5*a; + pair z=(0,2.5); + label(pic,"{\it symptote}",z,0.25*E+0.169S,p); + pair w=(0,1.7); + draw(pic,intersectionpoint(A,w-1--w)--w,p); + draw(pic,(0,y1)--(0,y2),p); + draw(pic,(a,0)--(b,0),p); + return shift(s)*pic; +} + +pair z=(-0.015,0.08); +for(int x=0; x < 10; ++x) + add(logo(0.1*x*z,gray(0.04*x))); + +add(logo(red)); diff --git a/Master/texmf-dist/doc/asymptote/examples/logo3.asy b/Master/texmf-dist/doc/asymptote/examples/logo3.asy new file mode 100644 index 00000000000..93b5a331e9e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/logo3.asy @@ -0,0 +1,41 @@ +import three; + +size(560,320,IgnoreAspect); +size3(140,80,15); +currentprojection=perspective(-2,20,10,up=Y); +currentlight=White; + +real a=-0.4; +real b=0.95; +real y1=-5; +real y2=-3y1/2; +path A=(a,0){dir(10)}::{dir(89.5)}(0,y2); +path B=(0,y1){dir(88.3)}::{dir(20)}(b,0); +real c=0.5*a; +pair z=(0,2.5); +transform t=scale(1,15); +transform T=inverse(scale(t.yy,t.xx)); +path[] g=shift(0,1.979)*scale(0.01)*t* + texpath(Label("{\it symptote}",z,0.25*E+0.169S,fontsize(24pt))); +pair w=(0,1.7); +pair u=intersectionpoint(A,w-1--w); + +real h=0.25*linewidth(); +real hy=(T*(h,h)).x; +g.push(t*((a,hy)--(b,hy)..(b+hy,0)..(b,-hy)--(a,-hy)..(a-hy,0)..cycle)); +g.push(T*((h,y1)--(h,y2)..(0,y2+h)..(-h,y2)--(-h,y1)..(0,y1-h)..cycle)); +g.push(shift(0,w.y)*t*((u.x,hy)--(w.x,hy)..(w.x+hy,0)..(w.x,-hy)--(u.x,-hy)..(u.x-hy,0)..cycle)); +real f=0.75; +g.push(point(A,0)--shift(-f*hy,f*h)*A--point(A,1)--shift(f*hy,-f*h)*reverse(A)--cycle); +g.push(point(B,0)--shift(f*hy,-f*h)*B--point(B,1)--shift(-f*hy,f*h)*reverse(B)--cycle); + +triple H=-0.1Z; +material m=material(lightgray,shininess=1.0); + +for(path p : g) + draw(extrude(p,H),m); + +surface s=surface(g); +draw(s,red,nolight); +draw(shift(H)*s,m); + diff --git a/Master/texmf-dist/doc/asymptote/examples/logticks.asy b/Master/texmf-dist/doc/asymptote/examples/logticks.asy new file mode 100644 index 00000000000..bdd14411692 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/logticks.asy @@ -0,0 +1,11 @@ +import graph; + +size(300,175,IgnoreAspect); +scale(Log,Log); +draw(graph(identity,5,20)); +xlimits(5,20); +ylimits(1,100); +xaxis("$M/M_\odot$",BottomTop,LeftTicks(DefaultFormat, + new real[] {6,10,12,14,16,18})); +yaxis("$\nu_{\rm upp}$ [Hz]",LeftRight,RightTicks(DefaultFormat)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/lowint.asy b/Master/texmf-dist/doc/asymptote/examples/lowint.asy new file mode 100644 index 00000000000..e4bf1c55606 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/lowint.asy @@ -0,0 +1,11 @@ +size(100,0); +import graph; +import lowupint; + +real a=-0.8, b=1.2; +real c=1.0/sqrt(3.0); + +partition(a,b,c,min); + +arrow("$f(x)$",F(0.5*(a+b)),NNE,red); +label("$\cal{L}$",(0.5*(a+b),f(0.5*(a+b))/2)); diff --git a/Master/texmf-dist/doc/asymptote/examples/lowupint.asy b/Master/texmf-dist/doc/asymptote/examples/lowupint.asy new file mode 100644 index 00000000000..3a14cd91104 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/lowupint.asy @@ -0,0 +1,31 @@ +import graph; + +real f(real x) {return x^3-x+2;} +pair F(real x) {return (x,f(x));} + +void rectangle(real a, real b, real c, real h(real,real)) +{ + real height=(a < c && c < b) ? f(c) : h(f(a),f(b)); + pair p=(a,0), q=(b,height); + path g=box(p,q); + fill(g,lightgray); + draw(g); +} + +void partition(real a, real b, real c, real h(real,real)) +{ + rectangle(a,a+.4,c,h); + rectangle(a+.4,a+.6,c,h); + rectangle(a+.6,a+1.2,c,h); + rectangle(a+1.2,a+1.6,c,h); + rectangle(a+1.6,a+1.8,c,h); + rectangle(a+1.8,b,c,h); + + draw((a,0)--(F(a))); + draw((b,0)--(F(b))); + + draw(graph(f,a,b,operator ..),red); + draw((a,0)--(b,0)); + labelx("$a$",a); + labelx("$b$",b); +} diff --git a/Master/texmf-dist/doc/asymptote/examples/magnetic.asy b/Master/texmf-dist/doc/asymptote/examples/magnetic.asy new file mode 100644 index 00000000000..3ae40466d43 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/magnetic.asy @@ -0,0 +1,18 @@ +import graph3; +import contour3; + +size(200,0); +currentprojection=orthographic((6,8,2),up=Y); + +real a(real z) {return (z < 6) ? 1 : exp((abs(z)-6)/4);} +real b(real z) {return 1/a(z);} +real B(real z) {return 1-0.5cos(pi*z/10);} + +real f(real x, real y, real z) {return 0.5B(z)*(a(z)*x^2+b(z)*y^2)-1;} + +draw(surface(contour3(f,(-2,-2,-10),(2,2,10),10)),blue+opacity(0.75), + render(merge=true)); + +xaxis3(Label("$x$",1),red); +yaxis3(Label("$y$",1),red); +zaxis3(Label("$z$",1),red); diff --git a/Master/texmf-dist/doc/asymptote/examples/makepen.asy b/Master/texmf-dist/doc/asymptote/examples/makepen.asy new file mode 100644 index 00000000000..7c7868a0901 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/makepen.asy @@ -0,0 +1,9 @@ +size(200); +pen convex=makepen(scale(10)*polygon(8))+grey; +draw((1,0.4),convex); +draw((0,0)---(1,1)..(2,0)--cycle,convex); + +pen nonconvex=scale(10)* + makepen((0,0)--(0.25,-1)--(0.5,0.25)--(1,0)--(0.5,1.25)--cycle)+red; +draw((0.5,-1.5),nonconvex); +draw((0,-1.5)..(1,-0.5)..(2,-1.5),nonconvex); diff --git a/Master/texmf-dist/doc/asymptote/examples/markers1.asy b/Master/texmf-dist/doc/asymptote/examples/markers1.asy new file mode 100644 index 00000000000..a3af424616d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/markers1.asy @@ -0,0 +1,102 @@ +size(12cm,0); +import markers; + +pair A=(0,0), B=(1,0), C=(2,0), D=(3,0); +path p=A--B--C--D; +transform T=shift(-4,-1); +transform t=shift(4,0); + +//line 1 ********** +draw(p,marker(markinterval(3,dotframe,true))); +label("$1$",point(p,0),3W); + +//line 2 ********** +p=t*p; +draw(p,marker(stickframe,markuniform(4))); +label("$2$",point(p,0),3W); + +//line 3 ********** +p=T*p; +draw(p,marker(stickframe(red),markinterval(3,dotframe(blue),true))); +label("$3$",point(p,0),3W); + +//line 4 ********** +p=t*p; +draw(p,StickIntervalMarker(3,2,blue,dotframe(red))); +label("$4$",point(p,0),3W); + +//line 5 ********** +p=T*p; +pen pn=linewidth(4bp); +draw(p,pn,StickIntervalMarker(3,3,angle=25,pn,dotframe(red+pn))); +label("$5$",point(p,0),3W); + +//line 6 ********** +p=t*p; +draw(p,StickIntervalMarker(3,5,angle=25,size=4mm,space=2mm,offset=I*2mm, + scale(2)*dotframe(red))); +label("$6$",point(p,0),3W); + +//line 7 ********** +p=T*p; +draw(p,StickIntervalMarker(n=3,angle=45,size=10mm,space=3mm,dotframe)); +label("$7$",point(p,0),3W); + +//line 8 ********** +p=t*p; +draw(p,CircleBarIntervalMarker(n=2,dotframe)); +label("$8$",point(p,0),3W); + +//line 9 ********** +p=T*p; +draw(p,CircleBarIntervalMarker(n=3,angle=30,barsize=8mm,radius=2mm, + FillDraw(.8red), + dotframe)); +label("$9$",point(p,0),3W); + +//line 10 ********** +p=t*p; +draw(p,CircleBarIntervalMarker(n=3,angle=30,barsize=8mm,radius=2mm, + FillDraw(.8red),circleabove=true,dotframe)); +label("$10$",point(p,0),3W); + +//line 11 ********** +p=T*p; +draw(p,CircleBarIntervalMarker(n=3,angle=30,barsize=8mm,radius=2mm, + FillDraw(.8red),circleabove=true,dotframe, + above=false)); +label("$11$",point(p,0),3W); + +//line 12 ********** +p=t*p; +draw(p,TildeIntervalMarker(i=3,dotframe)); +label("$12$",point(p,0),3W); + +//line 13 ********** +p=T*p; +draw(p,TildeIntervalMarker(i=3,n=2,angle=-20,dotframe)); +label("$13$",point(p,0),3W); + +//line 14 ********** +p=t*p; +draw(p,CrossIntervalMarker(3,3,dotframe)); +label("$14$",point(p,0),3W); + +//line 15 ********** +p=shift(.25S)*T*p; +path cle=shift(relpoint(p,.5))*scale(abs(A-D)/4)*unitcircle; +draw(cle,StickIntervalMarker(5,3,dotframe(6bp+red))); +label("$15$",point(p,0),3W); + +//line 16 ********** +cle=t*cle; +p=t*p; +frame a; +label(a,"$a$",(0,-2labelmargin())); +draw(cle,marker(dotframe(6bp+red),markinterval(5,a,true))); +label("$16$",point(p,0),3W); + +// line 17 ********** +p=T*shift(relpoint(p,.5)+.65S)*scale(.5)*shift(-relpoint(p,.5))*rotate(45,relpoint(p,.5))*p; +draw(p,TildeIntervalMarker(size=5mm,rotated=false,dotframe)); +label("$17$",point(p,0),3W); diff --git a/Master/texmf-dist/doc/asymptote/examples/markers2.asy b/Master/texmf-dist/doc/asymptote/examples/markers2.asy new file mode 100644 index 00000000000..b9c8ac21894 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/markers2.asy @@ -0,0 +1,34 @@ +size(10cm,0); +import markers; +import geometry; +import math; + +pair A=0, B=(1,0), C=(0.7,1), D=(-0.5,0), F=rotate(-90)*(C-B)/2+B; + +draw(A--B); +draw(A--C); +pen p=linewidth(1mm); +draw(B--C,p); +draw(A--D); +draw(B--F,p); +label("$A$",A,SW); +label("$B$",B,S); +label("$C$",C,N); +dot(Label("$D$",D,S)); +dot(Label("$F$",F,N+NW)); + +markangle(A,C,B); + +markangle(scale(1.5)*"$\theta$",radius=40,C,B,A,ArcArrow(2mm),1mm+red); +markangle(scale(1.5)*"$-\theta$",radius=-70,A,B,C,ArcArrow,green); + +markangle(Label("$\gamma$",Relative(0.25)),n=2,radius=-30,A,C,B,p=0.7blue+2); + +markangle(n=3,B,A,C,marker(markinterval(stickframe(n=2),true))); + +pen RedPen=0.7red+1bp; +markangle(C,A,D,RedPen,marker(markinterval(2,stickframe(3,4mm,RedPen),true))); +drawline(A,A+dir(A--D,A--C),dotted); + +perpendicular(B,NE,F-B,size=10mm,1mm+red, + TrueMargin(linewidth(p)/2,linewidth(p)/2),Fill(yellow)); diff --git a/Master/texmf-dist/doc/asymptote/examples/markregular.asy b/Master/texmf-dist/doc/asymptote/examples/markregular.asy new file mode 100644 index 00000000000..716599fbcf1 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/markregular.asy @@ -0,0 +1,26 @@ +import graph; + +size(10cm,0); + +real xmin=-4,xmax=4; +real ymin=-2,ymax=10; + +real f(real x) {return x^2;} + +marker cross=marker(scale(4)*rotate(45)*cross(4), + markuniform(new pair(real t) {return Scale((t,f(t)));}, + xmin,xmax,round(2*(xmax-xmin))),1bp+red); + +draw(graph(f,xmin,xmax,n=400),linewidth(1bp),cross); + +ylimits(-2.5,10,Crop); + +xaxis(Label("$x$",position=EndPoint, align=NE),xmin=xmin,xmax=xmax, + Ticks(scale(.7)*Label(align=E),NoZero,begin=false,beginlabel=false, + end=false,endlabel=false,Step=1,step=.25, + Size=1mm, size=.5mm,pTick=black,ptick=gray),Arrow); + +yaxis(Label("$y$",position=EndPoint, align=NE),ymin=ymin,ymax=ymax, + Ticks(scale(.7)*Label(),NoZero,begin=false,beginlabel=false, + end=false,endlabel=false,Step=1,step=.25,Size=1mm,size=.5mm, + pTick=black,ptick=gray),Arrow); diff --git a/Master/texmf-dist/doc/asymptote/examples/mergeExample.asy b/Master/texmf-dist/doc/asymptote/examples/mergeExample.asy new file mode 100644 index 00000000000..e0fdcd0f6c7 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/mergeExample.asy @@ -0,0 +1,77 @@ +size(16cm); +import bezulate; + +pen edgepen=linewidth(1)+blue; +pen dotpen=deepgreen; +pen labelpen=fontsize(8pt); + +path outer = (0.5,5){E}..(5,-1){S}..{W}(4,-4)..{W}(2.5,-1.5){W}..(-0.3,-2.5){W}..(-3,0)..cycle; +outer = subdivide(outer); +path[] p = {outer,shift(-0.5,1.0)*rotate(-22)*scale(1.5,2.4)*subdivide(unitcircle),shift(2.3,0.3)*scale(0.7)*unitcircle}; + +// a +filldraw(p,lightgrey+evenodd); + +real w = 1.1*(max(p).x-min(p).x); + +// b +p = shift(w)*p; +draw(p); +path l = point(p[1],2)--point(p[0],4); +draw(l,red); +for(int i = 0; i < p.length; ++i) +{ + real[][] ts = intersections(l,p[i]); + for(real[] t:ts) + dot(point(l,t[0])); +} +path l2 = point(l,intersections(l,p[0])[0][0])--point(l,intersections(l,p[2])[1][0]); +real to = intersections(l,p[0])[0][1]; +real ti = intersections(l,p[2])[1][1]; +draw(l2,edgepen); +label("$A$",point(l2,1),2E,labelpen); +label("$B$",point(l2,0),1.5E,labelpen); + +// c +p = shift(w)*p; +l2 = shift(w)*l2; +draw(p); +real timeoffset=2; +path t1=subpath(p[0],to,to+timeoffset); +t1=t1--point(p[2],ti)--cycle; +fill(t1,lightgrey); +draw(point(p[2],ti)--point(p[0],to+4),red); +dot(Label("$A$",labelpen),point(p[2],ti),2E,dotpen); +dot(Label("$B$",labelpen),point(p[0],to),1.5E,dotpen); +dot(Label("$C$",labelpen),point(p[0],to+timeoffset),1.5S,dotpen); +draw(t1,edgepen); +dot(point(p[0],to+4)); +draw(shift(-0.5,-0.5)*subpath(p[0],to+4,to+timeoffset+0.5),Arrow(4)); + +// d +p = shift(w)*p; +p[0] = subpath(p[0],to+timeoffset,to+length(p[0]))--uncycle(p[2],ti)--cycle; +p.delete(2); +draw(p); + +// e +p = shift(w)*p; +path q=point(p[1],0)--subpath(p[0],15.4,16)--cycle; +p[0] = subpath(p[0],16,15.4+length(p[0]))--uncycle(p[1],0)--cycle; +p.delete(1); +filldraw(p,lightgrey); + +// f +p = shift(w)*p; +filldraw(bezulate(p),lightgrey); +filldraw(shift(3w)*t1,lightgrey); +filldraw(shift(w)*q,lightgrey); + + +real x = min(p).x - 4.5w; +string l = "abcdef"; +for(int i = 0; i < 6; ++i) +{ + label("("+substr(l,i,1)+")",(x,min(p).y),3S,fontsize(10pt)); + x += w; +} diff --git a/Master/texmf-dist/doc/asymptote/examples/mexicanhat.asy b/Master/texmf-dist/doc/asymptote/examples/mexicanhat.asy new file mode 100644 index 00000000000..d55b127ae5c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/mexicanhat.asy @@ -0,0 +1,22 @@ +size(200); + +real mexican(real x) {return (1-8x^2)*exp(-(4x^2));} + +int n=30; +real a=1.5; +real width=2a/n; + +guide hat; +path solved; + +for(int i=0; i < n; ++i) { + real t=-a+i*width; + pair z=(t,mexican(t)); + hat=hat..z; + solved=solved..z; +} + +draw(hat); +dot(hat,red); +draw(solved,dashed); + diff --git a/Master/texmf-dist/doc/asymptote/examples/monthaxis.asy b/Master/texmf-dist/doc/asymptote/examples/monthaxis.asy new file mode 100644 index 00000000000..d2c8bf3298f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/monthaxis.asy @@ -0,0 +1,17 @@ +import graph; + +size(400,150,IgnoreAspect); + +real[] x=sequence(12); +real[] y=sin(2pi*x/12); + +scale(false); + +string[] month={"Jan","Feb","Mar","Apr","May","Jun", + "Jul","Aug","Sep","Oct","Nov","Dec"}; + +draw(graph(x,y),red,MarkFill[0]); + +xaxis(BottomTop,LeftTicks(new string(real x) { + return month[round(x % 12)];})); +yaxis("$y$",LeftRight,RightTicks(4)); diff --git a/Master/texmf-dist/doc/asymptote/examples/mosaic.asy b/Master/texmf-dist/doc/asymptote/examples/mosaic.asy new file mode 100644 index 00000000000..0f19117c4b3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/mosaic.asy @@ -0,0 +1,165 @@ +// Calendar example contributed by Jens Schwaiger + +// transformations +path similarpath(pair a, pair b, path p) { + // transform p into a path starting at a and ending at b + pair first; + pair last; + path p_; + first=point(p,0); + last=point(p,length(p)); + p_=shift(-first)*p; + p_=rotate(degrees(b-a))*p_; + p_=scale(abs(b-a)/abs(last-first))*p_; + p_=shift(a)*p_; + return p_; +} + +path c_line(path p) { + // returns the path obtained by adding to p a copy rotated + // around the endpoint of p by 180 degrees + // works only if the initial point and the endpoint of p are different + // a c_line is symetric with respect to the center of + // the straight line between its endpoints + // + return p..rotate(180,point(p,length(p)))*reverse(p); +} + +path tounitcircle(path p, int n=300) { + // the transformation pair x --> x/sqrt(1+abs(x)^2) + // is a bijection from the plane to the open unitdisk + real l=arclength(p); + path ghlp; + for(int i=0; i <= n; ++i) { + real at=arctime(p,l/n*i); + pair phlp=point(p,at); + real trhlp=1/(1+abs(phlp)^2)^(1/2); + ghlp=ghlp--trhlp*phlp; + } + if(cyclic(p)) {ghlp=ghlp--cycle;} + return ghlp; +} + +void centershade(picture pic=currentpicture, path p, pen in, pen out, + pen drawpen=currentpen) { + pair center=0.5(max(p)+min(p)); + real radius=0.5abs(max(p)-min(p)); + radialshade(pic,p,in,center,0,out,center,radius); + draw(pic,p,drawpen); +} + +pair zentrum(path p) {return 0.5(min(p)+max(p));} + +//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +real scalefactor=19/13; // For output: height=scalefactor*width +real outputwidth=13cm; +picture kalender;// at first we produce a calendar for february 2006 +texpreamble("\usepackage[latin1]{inputenc}"); +size(outputwidth,0); +real yc=0.5; +pair diff=(-3.5,5*yc); +pen farbe(int j) { + pen hlp=0.8white; + if(j % 7 == 6) {hlp=red+white;} + return hlp;} + +// farbe=German word for color +path kasten=yscale(yc)*unitsquare; +// Kasten is a German word meaning something like box +path Gkasten=shift((0,2*yc)+diff)*xscale(7)*yscale(2)*kasten; +path tage[]= new path[7]; // Tag=day +string wochentag[]={"MO","DI","MI","DO","FR","SA","SO"}; +path[][] bx= new path[6][7]; +string[][] entry= new string[6][7]; +bool[][] holiday=new bool[6][7]; + +// Now the necessary information for February 2006 +int start=2; +int days=28; +for(int i=0; i < entry.length; ++i) { + for(int j=0; j < entry[0].length; ++j) { + int day=i*7+j-start+1; + entry[i][j]=(day > 0 && day <= days ? (string) day : ""); + holiday[i][j]=false; + } +} + +for(int j=0; j < 7; ++j) { + tage[j]=shift((j,yc)+diff)*kasten; + filldraw(tage[j],farbe(j),black+2bp); + label(wochentag[j],zentrum(tage[j]),Palatino()); + for(int i=0; i < 6; ++i) {bx[i][j]=shift((j,-yc*i)+diff)*kasten; + filldraw(bx[i][j],farbe(j),black+2bp); + if(holiday[i][j]) {filldraw(bx[i][j],farbe(6),black+2bp);}; + }; +}; +filldraw(Gkasten,0.3white,black+2bp); +for(int j=0; j < 7; ++j) + for(int i=0; i < 6 ; ++i) {label(entry[i][j],zentrum(bx[i][j]),Palatino());} +label("\Huge Februar 2006",zentrum(Gkasten),Palatino()+white); +// Zentrum=center; Februar=february +add(kalender,currentpicture); +erase(); + +// Now the mosaic is constructed +pair a[]=new pair[4]; +path p[]=new path[4]; +path q[]=new path[4]; +path kontur[]=new path[5]; +picture temppic; + +a[1]=(0,0); +a[2]=(1,0); +a[3]=(0,1); // a triangle with abs(a[2]-a[1])=abs(a[3]-a[1] + // and a right angle at a[1]; +q[1]=(0,0){dir(-20)}::{dir(20)}(0.2,0){dir(-140)}..{dir(0)}(0.3,-0.2){dir(0)}.. +{dir(140)}(0.4,0){dir(20)}..{dir(-20)}(1,0); +q[2]=(0,0){dir(20)}..{dir(-20)}(0.8,0){dir(-140)}..{dir(0)}(0.9,-0.3){dir(0)}.. +{dir(140)}(1,0); +q[2]=c_line(q[2]); +p[1]=similarpath(a[1],a[2],q[1]);// arbitrary path from a[1] to a[2] +p[2]=similarpath(a[2],a[3],q[2]);// arbitrary c_line from a[2] to a[3] +p[3]=rotate(90,a[1])*reverse(p[1]);// +kontur[1]=p[1]..p[2]..p[3]..cycle;// first tile +kontur[2]=rotate(90,a[1])*kontur[1];// second +kontur[3]=rotate(180,a[1])*kontur[1];// third +kontur[4]=rotate(270,a[1])*kontur[1];// fourth +pair tri=2*(interp(a[2],a[3],0.5)-a[1]); +pair trii=rotate(90)*tri; +// translations of kontur[i], i=1,2,3,4, with respect to +// j*tri+k*trii +// fill the plane + +for(int j=-4; j < 4; ++j) + for(int k=-4; k < 4; ++k) { + transform tr=shift(j*tri+k*trii); + for(int i=1; i < 5; ++i) { + centershade(temppic,tr*kontur[i],(1-i/10)*white, + (1-i/10)*chartreuse,black+2bp); + } + } + +// Now we produce the bijective images inside +// a suitably scaled unitcircle +for(int k=-1; k < 2; ++k) + for(int l=-1; l < 2; ++l) { + transform tr=shift(k*tri+l*trii); + for(int i=1; i < 5; ++i) { + centershade(temppic,scale(2.5)*tounitcircle(tr*kontur[i],380), + (1-i/10)*white,(1-i/10)*orange,black+2bp); + } + } + +add(temppic); + +// We clip the picture to a suitable box +pair piccenter=0.5*(temppic.min()+temppic.max()); +pair picbox=temppic.max()-temppic.min(); +real picwidth=picbox.x; +transform trialtrans=shift(0,-1.5)*shift(piccenter)*yscale(scalefactor)* + scale(0.25picwidth)*shift((-0.5,-0.5))*identity(); +clip(trialtrans*unitsquare); + +// add the calendar at a suitable position +add(kalender.fit(0.75*outputwidth),interp(point(S),point(N),1/13)); diff --git a/Master/texmf-dist/doc/asymptote/examples/mosquito.asy b/Master/texmf-dist/doc/asymptote/examples/mosquito.asy new file mode 100644 index 00000000000..7e299d264d3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/mosquito.asy @@ -0,0 +1,82 @@ +size(9cm,10cm,IgnoreAspect); + +pair d=(1,0.25); +real s=1.6d.x; +real y=0.6; +defaultpen(fontsize(8pt)); + +picture box(string s, pair z=(0,0)) { + picture pic; + draw(pic,box(-d/2,d/2)); + label(pic,s,(0,0)); + return shift(z)*pic; +} + +label("Birds",(0,y)); +picture removed=box("Removed ($R_B$)"); +picture infectious=box("Infectious ($I_B$)",(0,-1.5)); +picture susceptible=box("Susceptible ($S_B$)",(0,-3)); + +add(removed); +add(infectious); +add(susceptible); + +label("Mosquitoes",(s,y)); +picture larval=box("Larval ($L_M$)",(s,0)); +picture susceptibleM=box("Susceptible ($S_M$)",(s,-1)); +picture exposed=box("Exposed ($E_M$)",(s,-2)); +picture infectiousM=box("Infectious ($I_M$)",(s,-3)); + +add(larval); +add(susceptibleM); +add(exposed); +add(infectiousM); + +path ls=point(larval,S)--point(susceptibleM,N); +path se=point(susceptibleM,S)--point(exposed,N); +path ei=point(exposed,S)--point(infectiousM,N); +path si=point(susceptible,N)--point(infectious,S); + +draw(minipage("\flushright{recovery rate ($g$) \& death rate from virus +($\mu_V$)}",40pt),point(infectious,N)--point(removed,S),LeftSide,Arrow, + PenMargin); + +draw(si,LeftSide,Arrow,PenMargin); + +draw(minipage("\flushright{maturation rate ($m$)}",50pt),ls,RightSide, + Arrow,PenMargin); +draw(minipage("\flushright{viral incubation rate ($k$)}",40pt),ei, + RightSide,Arrow,PenMargin); + +path ise=point(infectious,E)--point(se,0.5); + +draw("$(ac)$",ise,LeftSide,dashed,Arrow,PenMargin); +label(minipage("\flushleft{biting rate $\times$ transmission +probability}",50pt),point(infectious,SE),dir(-60)+S); + +path isi=point(infectiousM,W)--point(si,2.0/3); + +draw("$(ab)$",isi,LeftSide,dashed,Arrow,PenMargin); +draw(se,LeftSide,Arrow,PenMargin); + +real t=2.0; +draw("$\beta_M$", + point(susceptibleM,E){right}..tension t..{left}point(larval,E), + 2*(S+SE),red,Arrow(Fill,0.5)); +draw(minipage("\flushleft{birth rate ($\beta_M$)}",20pt), + point(exposed,E){right}..tension t..{left}point(larval,E),2SW,red, + Arrow(Fill,0.5)); +draw("$\beta_M$", + point(infectiousM,E){right}..tension t..{left}point(larval,E),2SW, + red,Arrow(Fill,0.5)); + +path arrow=(0,0)--0.75cm*dir(35); +draw(point(larval,NNE), + Label(minipage("\flushleft{larval death rate ($\mu_L$)}",45pt),1), + arrow,blue,Arrow); +draw(point(susceptibleM,NNE), + Label(minipage("\flushleft{adult death rate ($\mu_A$)}",20pt),1), + arrow,N,blue,Arrow); +draw(point(exposed,NNE),Label("$\mu_A$",1),arrow,blue,Arrow); +draw(point(infectiousM,NNE),Label("$\mu_A$",1),arrow,blue,Arrow); + diff --git a/Master/texmf-dist/doc/asymptote/examples/multicontour.asy b/Master/texmf-dist/doc/asymptote/examples/multicontour.asy new file mode 100644 index 00000000000..0e8476de922 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/multicontour.asy @@ -0,0 +1,19 @@ +import contour; + +size(200); + +real f(real x, real y) {return x^2-y^2;} +int n=10; +real[] c=new real[n]; +for(int i=0; i < n; ++i) c[i]=(i-n/2)/n; + +pen[] p=sequence(new pen(int i) { + return (c[i] >= 0 ? solid : dashed)+fontsize(6pt); + },c.length); + +Label[] Labels=sequence(new Label(int i) { + return Label(c[i] != 0 ? (string) c[i] : "",Relative(unitrand()),(0,0), + UnFill(1bp)); + },c.length); + +draw(Labels,contour(f,(-1,-1),(1,1),c),p); diff --git a/Master/texmf-dist/doc/asymptote/examples/near_earth.asy b/Master/texmf-dist/doc/asymptote/examples/near_earth.asy new file mode 100644 index 00000000000..afdf64c6b5c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/near_earth.asy @@ -0,0 +1,56 @@ +import three; +import math; +texpreamble("\usepackage{bm}"); + +size(300,0); + +pen thickp=linewidth(0.5mm); +real radius=0.8, lambda=37, aux=60; + +currentprojection=perspective(4,1,2); + +// Planes +pen bg=gray(0.9)+opacity(0.5); +draw(surface((1.2,0,0)--(1.2,0,1.2)--(0,0,1.2)--(0,0,0)--cycle),bg); +draw(surface((0,1.2,0)--(0,1.2,1.2)--(0,0,1.2)--(0,0,0)--cycle),bg); +draw(surface((1.2,0,0)--(1.2,1.2,0)--(0,1.2,0)--(0,0,0)--cycle),bg); + +real r=1.5; +pen p=rgb(0,0.7,0); +draw(Label("$x$",1),O--r*X,p,Arrow3); +draw(Label("$y$",1),O--r*Y,p,Arrow3); +draw(Label("$z$",1),O--r*Z,p,Arrow3); +label("$\rm O$",(0,0,0),W); + +// Point Q +triple pQ=radius*dir(lambda,aux); +draw(O--radius*dir(90,aux),dashed); +label("$\rm Q$",pQ,N+3*W); +draw("$\lambda$",arc(O,0.15pQ,0.15*Z),N+0.3E); + +// Particle +triple m=pQ-(0.26,-0.4,0.28); +real width=5; +dot("$m$",m,SE,linewidth(width)); +draw("$\bm{\rho}$",(0,0,0)--m,Arrow3,PenMargin3(0,width)); +draw("$\bm{r}$",pQ--m,Arrow3,PenMargin3(0,width)); + +// Spherical octant +real r=sqrt(pQ.x^2+pQ.y^2); +draw(arc((0,0,pQ.z),(r,0,pQ.z),(0,r,pQ.z)),dashed); +draw(arc(O,radius*Z,radius*dir(90,aux)),dashed); +draw(arc(O,radius*Z,radius*X),thickp); +draw(arc(O,radius*Z,radius*Y),thickp); +draw(arc(O,radius*X,radius*Y),thickp); + +// Moving axes +triple i=dir(90+lambda,aux); +triple k=unit(pQ); +triple j=cross(k,i); + +draw(Label("$x$",1),pQ--pQ+0.2*i,2W,red,Arrow3); +draw(Label("$y$",1),pQ--pQ+0.32*j,red,Arrow3); +draw(Label("$z$",1),pQ--pQ+0.26*k,red,Arrow3); + +draw("$\bm{R}$",O--pQ,Arrow3,PenMargin3); +draw("$\omega\bm{K}$",arc(0.9Z,0.2,90,-120,90,160,CW),1.2N,Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/odetest.asy b/Master/texmf-dist/doc/asymptote/examples/odetest.asy new file mode 100644 index 00000000000..69f8ea3fd07 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/odetest.asy @@ -0,0 +1,43 @@ +import ode; + +write("integration test"); +real f(real t, real x) {return cos(x);} +write(integrate(1,f,0,10,0.1,dynamic=true,0.0002,0.0004,RK3BS,verbose=true)); +write(); + +write("system integration test"); +real[] f(real t, real[] x) {return new real[] {x[1],1.5*x[0]^2};} +write(integrate(new real[] {4,-8},f,0,1,n=100,dynamic=true,tolmin=0.0002, + tolmax=0.0004,RK3BS,verbose=false)); +write(); + +write("simultaneous newton test"); +real[] function(real[] x) { + return new real[] {x[0]^2+x[1]^2-25,(x[0]-6)^2+x[1]^2-25}; +} +real[][] fJac(real[] x) { + return new real[][] {{2*x[0],2*x[1]},{2*(x[0]-6),2*x[1]}}; +} +write(newton(function,fJac,new real[] {0,-1})); +write(); + + +write("BVP solver test"); +write("Finding initial conditions that solve w''(t)=1.5*w(t), w(0)=4, w(1)=1"); +real[] initial(real[] x) { + return new real[] {4,x[0]}; +} + +real[] discrepancy(real[] x) { + real error=x[0]-1; + write("Error: ",error); + return new real[] {error}; +} + +real[] w0=solveBVP(f,0,1,n=10,dynamic=true,tolmin=0.0002,tolmax=0.0004,RK3BS, + initial,discrepancy,guess=new real[] {-30},iterations=10); +write(w0); +write(); +write(integrate(w0,f,0,1,n=10,dynamic=true,tolmin=0.0002,tolmax=0.0004,RK3BS, + verbose=false)); +write(); diff --git a/Master/texmf-dist/doc/asymptote/examples/onecontour.asy b/Master/texmf-dist/doc/asymptote/examples/onecontour.asy new file mode 100644 index 00000000000..0d7f247fd39 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/onecontour.asy @@ -0,0 +1,5 @@ +import contour; +size(75); + +real f(real a, real b) {return a^2+b^2;} +draw(contour(f,(-1,-1),(1,1),new real[] {1})); diff --git a/Master/texmf-dist/doc/asymptote/examples/oneoverx.asy b/Master/texmf-dist/doc/asymptote/examples/oneoverx.asy new file mode 100644 index 00000000000..5d9775d44dc --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/oneoverx.asy @@ -0,0 +1,17 @@ +import graph; +size(200,IgnoreAspect); + +real f(real x) {return 1/x;}; + +bool3 branch(real x) +{ + static int lastsign=0; + if(x == 0) return false; + int sign=sgn(x); + bool b=lastsign == 0 || sign == lastsign; + lastsign=sign; + return b ? true : default; +} + +draw(graph(f,-1,1,branch)); +axes("$x$","$y$",red); diff --git a/Master/texmf-dist/doc/asymptote/examples/orthocenter.asy b/Master/texmf-dist/doc/asymptote/examples/orthocenter.asy new file mode 100644 index 00000000000..5c6807b4f25 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/orthocenter.asy @@ -0,0 +1,40 @@ +import geometry; +import math; + +size(7cm,0); + +real theta=degrees(asin(0.5/sqrt(7))); + +pair B=(0,sqrt(7)); +pair A=B+2sqrt(3)*dir(270-theta); +pair C=A+sqrt(21); +pair O=0; + +pair Ap=extension(A,O,B,C); +pair Bp=extension(B,O,C,A); +pair Cp=extension(C,O,A,B); + +perpendicular(Ap,NE,Ap--O,blue); +perpendicular(Bp,NE,Bp--C,blue); +perpendicular(Cp,NE,Cp--O,blue); + +draw(A--B--C--cycle); + +currentpen=black; + +draw("1",A--O,-0.25*I*dir(A--O)); +draw(O--Ap); +draw("$\sqrt{7}$",B--O,LeftSide); +draw(O--Bp); +draw("4",C--O); +draw(O--Cp); + +dot("$O$",O,dir(B--Bp,Cp--C),red); +dot("$A$",A,dir(C--A,B--A),red); +dot("$B$",B,NW,red); +dot("$C$",C,dir(A--C,B--C),red); +dot("$A'$",Ap,dir(A--Ap),red); +dot("$B'$",Bp,dir(B--Bp),red); +dot("$C'$",Cp,dir(C--Cp),red); + +label(graphic("piicon","width=2.5cm"),Ap,5ENE,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/p-orbital.asy b/Master/texmf-dist/doc/asymptote/examples/p-orbital.asy new file mode 100644 index 00000000000..1932e098c67 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/p-orbital.asy @@ -0,0 +1,31 @@ +import graph3; +import palette; +size(200); +currentprojection=orthographic(6,8,2); +viewportmargin=(1cm,0); + +real c0=0.1; + +real f(real r) {return r*(1-r/6)*exp(-r/3);} + +triple f(pair t) { + real r=t.x; + real phi=t.y; + real f=f(r); + real s=max(min(c0/f,1),-1); + real R=r*sqrt(1-s^2); + return (R*cos(phi),R*sin(phi),r*s); +} + +bool cond(pair t) {return f(t.x) != 0;} + +real R=abs((20,20,20)); +surface s=surface(f,(0,0),(R,2pi),100,8,Spline,cond); + +s.colors(palette(s.map(abs),Gradient(palegreen,heavyblue))); + +render render=render(compression=Low,merge=true); +draw(s,render); +draw(zscale3(-1)*s); + +axes3("$x$","$y$","$z$",Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/parametricelevation.asy b/Master/texmf-dist/doc/asymptote/examples/parametricelevation.asy new file mode 100644 index 00000000000..ac0f0b09ad5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/parametricelevation.asy @@ -0,0 +1,10 @@ +import graph3; +import palette; +size(200); + +currentprojection=orthographic(4,2,4); + +triple f(pair z) {return expi(z.x,z.y);} + +surface s=surface(f,(0,0),(pi,2pi),10,Spline); +draw(s,mean(palette(s.map(zpart),BWRainbow())),black,nolight,render(merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/parametricgraph.asy b/Master/texmf-dist/doc/asymptote/examples/parametricgraph.asy new file mode 100644 index 00000000000..a5688a6f9dd --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/parametricgraph.asy @@ -0,0 +1,16 @@ +import graph; + +size(0,200); + +real x(real t) {return cos(2pi*t);} +real y(real t) {return sin(2pi*t);} + +draw(graph(x,y,0,1)); + +//xlimits(0,1,Crop); +//ylimits(-1,0,Crop); + +xaxis("$x$",BottomTop,LeftTicks); +yaxis("$y$",LeftRight,RightTicks(trailingzero)); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/parametricsurface.asy b/Master/texmf-dist/doc/asymptote/examples/parametricsurface.asy new file mode 100644 index 00000000000..299ea72eef7 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/parametricsurface.asy @@ -0,0 +1,23 @@ +import graph3; + +size(200,0); +currentprojection=orthographic(4,0,2); + +real R=2; +real a=1.9; + +triple f(pair t) { + return ((R+a*cos(t.y))*cos(t.x),(R+a*cos(t.y))*sin(t.x),a*sin(t.y)); +} + +pen p=rgb(0.2,0.5,0.7); +surface s=surface(f,(0,0),(2pi,2pi),8,8,Spline); + +// surface only +//draw(s,lightgray); + +// mesh only +// draw(s,nullpen,meshpen=p); + +// surface & mesh +draw(s,lightgray,meshpen=p,render(merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/partialsurface.asy b/Master/texmf-dist/doc/asymptote/examples/partialsurface.asy new file mode 100644 index 00000000000..2e8ad34d834 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/partialsurface.asy @@ -0,0 +1,29 @@ +import graph3; +import palette; + +size(0,300); +currentprojection=perspective(3,-2,2); + +real V(real r) {return r^4-r^2;} +real V(pair pos) {return V(abs(pos));} + +real R=1/sqrt(2); +real z=-0.2; + +bool active(pair pos) {return abs(pos) < R;} +bool above(pair pos) {return V(pos) >= z;} + +pair a=(-1.5,-1); +pair b=(0.5,1); +real f=1.2; + +draw(plane(f*(b.x-a.x,0,z),(0,f*(b.y-a.y),z),(a.x,a.y,z)), + lightgrey+opacity(0.5)); + +surface s=surface(V,a,b,40,Spline,active); +draw(s,mean(palette(s.map(new real(triple v) { + return above((v.x,v.y)) ? 1 : 0;}), + new pen[] {lightblue,lightgreen})),black); + +xaxis3(Label("$\phi^\dagger\phi$",1),red,Arrow3); +zaxis3(Label("$V(\phi^\dagger\phi)$",1),0,0.3,red,Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/partitionExample.asy b/Master/texmf-dist/doc/asymptote/examples/partitionExample.asy new file mode 100644 index 00000000000..4974d99d9ca --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/partitionExample.asy @@ -0,0 +1,27 @@ +size(15cm); +import bezulate; + +path[] p = texpath("$\sigma \Theta$"); +pair m = min(p); +pair M = max(p); +real midy = 0.5(M.y+m.y); + +path[] alpha = p[0:2]; +path[] theta = p[2:5]; +filldraw(p,lightgrey,black); + +draw("{\tt partition}",(M.x+1mm,midy)--(M.x+5mm,midy),Arrow); +draw((M.x+1mm,midy+1mm)--(M.x+5mm,midy+2mm),Arrow); +draw((M.x+1mm,midy-1mm)--(M.x+5mm,midy-2mm),Arrow); + +filldraw(shift((M.x+8.5mm,midy+3.5mm))*alpha,lightgrey,black); +filldraw(shift((M.x+5.5mm,0))*theta[0:2],lightgrey,black); +filldraw(shift(M.x+5.5mm,midy-2.5mm)*theta[2:3],lightgrey,black); + +draw("{\tt merge}, {\tt bezulate}",(M.x+9mm,midy+3mm)--(M.x+15mm,midy+3mm),Arrow); +draw("{\tt merge}, {\tt bezulate}",(M.x+9mm,midy)--(M.x+15mm,midy),Arrow); +draw("{\tt bezulate}",(M.x+9mm,midy-2.5mm)--(M.x+15mm,midy-2.5mm),Arrow); + +filldraw(shift(M.x+16mm-min(alpha).x,midy+3.5mm)*bezulate(alpha),lightgrey,black); +filldraw(shift(M.x+16mm-min(theta[0:2]).x,0)*bezulate(theta[0:2]),lightgrey,black); +filldraw(shift(M.x+16mm-min(theta[0:2]).x,midy-2.5mm)*bezulate(theta[2:3]),lightgrey,black); diff --git a/Master/texmf-dist/doc/asymptote/examples/pathintersectsurface.asy b/Master/texmf-dist/doc/asymptote/examples/pathintersectsurface.asy new file mode 100644 index 00000000000..b69b0b859a5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/pathintersectsurface.asy @@ -0,0 +1,20 @@ +size(500); +import graph3; + +currentprojection=perspective(-5,-4,2); + +path3 g=randompath3(10); + +draw(g,red+thin()); + +triple[][] P={ + {(0,0,0),(1,0,0),(1,0,0),(2,0,0)}, + {(0,4/3,0),(2/3,4/3,2),(4/3,4/3,2),(2,4/3,0)}, + {(0,2/3,0),(2/3,2/3,0),(4/3,2/3,0),(2,2/3,0)}, + {(0,2,0),(2/3,2,0),(4/3,2,0),(2,2,0)}}; + +surface s=surface(patch(P)); +s.append(unitplane); + +draw(s,lightgray+opacity(0.9)); +dot(intersectionpoints(g,s),blue); diff --git a/Master/texmf-dist/doc/asymptote/examples/pdb.asy b/Master/texmf-dist/doc/asymptote/examples/pdb.asy new file mode 100644 index 00000000000..b3b954c8c6a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/pdb.asy @@ -0,0 +1,172 @@ +import three; +import cpkcolors; + +// A sample Protein Data Bank file for this example is available from +// http://ndbserver.rutgers.edu/ftp/NDB/coordinates/na-biol/100d.pdb1 + +bool getviews=true; + +currentlight=White; +//currentlight=nolight; + +defaultrender.merge=true; // Fast low-quality rendering +//defaultrender.merge=false; // Slow high-quality rendering +bool pixel=false; // Set to true to draw dots as pixels. +real width=10*linewidth(currentpen); + +size(200); +currentprojection=perspective(30,30,15); + +pen chainpen=green; +pen hetpen=purple; + +string filename="100d.pdb1"; +//string filename=getstring("filename"); + +string prefix=stripextension(filename); +file data=input(filename); + +pen color(string e) +{ + e=replace(e," ",""); + int n=length(e); + if(n < 1) return currentpen; + if(n > 1) e=substr(e,0,1)+downcase(substr(e,1,n-1)); + int index=find(Element == e); + if(index < 0) return currentpen; + return rgb(Hexcolor[index]); +} + +// ATOM +string[] name,altLoc,resName,chainID,iCode,element,charge; +int[] serial,resSeq; +real[][] occupancy,tempFactor; + +bool newchain=true; + +struct bond +{ + int i,j; + void operator init(int i, int j) { + this.i=i; + this.j=j; + } +} + +bond[] bonds; + +struct atom +{ + string name; + triple v; + void operator init(string name, triple v) { + this.name=name; + this.v=v; + } +} + +struct chain +{ + int[] serial; + atom[] a; +} + +int[] serials; +chain[] chains; +atom[] atoms; + +while(true) { + string line=data; + if(eof(data)) break; + string record=replace(substr(line,0,6)," ",""); + if(record == "TER") {newchain=true; continue;} + bool ATOM=record == "ATOM"; + bool HETATOM=record == "HETATM"; + int serial; + + atom a; + if(ATOM || HETATOM) { + serial=(int) substr(line,6,5); + a.name=substr(line,76,2); + a.v=((real) substr(line,30,8), + (real) substr(line,38,8), + (real) substr(line,46,8)); + } + if(ATOM) { + if(newchain) { + chains.push(new chain); + newchain=false; + } + chain c=chains[chains.length-1]; + c.serial.push(serial); + c.a.push(a); + continue; + } + if(HETATOM) { + serials.push(serial); + atoms.push(a); + } + if(record == "CONECT") { + int k=0; + int i=(int) substr(line,6,5); + while(true) { + string s=replace(substr(line,11+k,5)," ",""); + if(s == "") break; + k += 5; + int j=(int) s; + if(j <= i) continue; + bonds.push(bond(i,j)); + } + } +} + +write("Number of atomic chains: ",chains.length); + +int natoms; +begingroup3("chained"); +for(chain c : chains) { + for(int i=0; i < c.a.length-1; ++i) + draw(c.a[i].v--c.a[i+1].v,chainpen,currentlight); + for(atom a : c.a) + if(pixel) + pixel(a.v,color(a.name),width); + else + dot(a.v,color(a.name),currentlight); + natoms += c.a.length; +} +endgroup3(); + +write("Number of chained atoms: ",natoms); +write("Number of hetero atoms: ",atoms.length); + +begingroup3("hetero"); +for(atom h : atoms) + if(pixel) + pixel(h.v,color(h.name),width); + else + dot(h.v,color(h.name),currentlight); +endgroup3(); + +write("Number of hetero bonds: ",bonds.length); + +begingroup3("bonds"); +for(bond b : bonds) { + triple v(int i) {return atoms[find(serials == i)].v;} + draw(v(b.i)--v(b.j),hetpen,currentlight); +} +endgroup3(); + +string options; +string viewfilename=prefix+".views"; + +if(!error(input(viewfilename,check=false))) + options="3Dviews2="+viewfilename; + +if(getviews && prc()) { + picture pic; + add(pic,embed("label",currentpicture,options=options),(0,0),N); + label(pic,cameralink("label"),(0,0),S,fontsize(12pt)); + shipout(prefix,pic,options=options); +} else + shipout(prefix,options=options); + diff --git a/Master/texmf-dist/doc/asymptote/examples/penfunctionimage.asy b/Master/texmf-dist/doc/asymptote/examples/penfunctionimage.asy new file mode 100644 index 00000000000..38951e550d5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/penfunctionimage.asy @@ -0,0 +1,27 @@ +import palette; + +size(200); + +real fracpart(real x) {return (x-floor(x));} + +pair pws(pair z) { + pair w=(z+exp(pi*I/5)/0.9)/(1+z/0.9*exp(-pi*I/5)); + return exp(w)*(w^3-0.5*I); +} + +int N=512; + +pair a=(-1,-1); +pair b=(0.5,0.5); +real dx=(b-a).x/N; +real dy=(b-a).y/N; + +pen f(int u, int v) { + pair z=a+(u*dx,v*dy); + pair w=pws(z); + real phase=degrees(w,warn=false); + real modulus=w == 0 ? 0: fracpart(log(abs(w))); + return hsv(phase,1,sqrt(modulus)); +} + +image(f,N,N,(0,0),(300,300),antialias=true); diff --git a/Master/texmf-dist/doc/asymptote/examples/penimage.asy b/Master/texmf-dist/doc/asymptote/examples/penimage.asy new file mode 100644 index 00000000000..2aef9f9ebe2 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/penimage.asy @@ -0,0 +1,14 @@ +size(200); + +import palette; + +int n=256; +real ninv=2pi/n; +pen[][] v=new pen[n][n]; + +for(int i=0; i < n; ++i) + for(int j=0; j < n; ++j) + v[i][j]=rgb(0.5*(1+sin(i*ninv)),0.5*(1+cos(j*ninv)),0); + +image(v,(0,0),(1,1)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/phase.asy b/Master/texmf-dist/doc/asymptote/examples/phase.asy new file mode 100644 index 00000000000..7256ffc515c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/phase.asy @@ -0,0 +1,18 @@ +import graph; +size(8cm,6cm,IgnoreAspect); + +pair S0=(4,0.2); +pair S1=(2,3); +pair S8=(0.5,0); + +xaxis("$S$"); +yaxis(Label("$I$",0.5)); + +draw(S0{curl 0}..tension 1.5..S1{W}..tension 1.5..{curl 0}S8,Arrow(Fill,0.4)); +draw((S1.x,0)..S1,dashed); +draw((0,S1.y)..S1,dotted); + +labelx("$\frac{\gamma}{\beta}$",S1.x); +labelx("$S_\infty$",S8.x); +labely("$I_{\max}$",S1.y); + diff --git a/Master/texmf-dist/doc/asymptote/examples/piicon.eps b/Master/texmf-dist/doc/asymptote/examples/piicon.eps new file mode 100644 index 00000000000..56bf59bde96 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/piicon.eps @@ -0,0 +1,1135 @@ +%!PS-Adobe-3.0 EPSF-3.0 +%%BoundingBox: 0 0 147 144 +%%HiResBoundingBox: 0.000000 0.000000 147.000000 144.000000 +%......................................... +%%Creator: AFPL Ghostscript 814 (epswrite) +%%CreationDate: 2005/05/07 23:32:22 +%%DocumentData: Clean7Bit +%%LanguageLevel: 2 +%%EndComments +%%BeginProlog +% This copyright applies to everything between here and the %%EndProlog: +% Copyright (C) 2004 artofcode LLC, Benicia, CA. 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showpage +%%PageTrailer +%%Trailer +%%Pages: 1 diff --git a/Master/texmf-dist/doc/asymptote/examples/pipeintersection.asy b/Master/texmf-dist/doc/asymptote/examples/pipeintersection.asy new file mode 100644 index 00000000000..6b0388f1378 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/pipeintersection.asy @@ -0,0 +1,13 @@ +import graph3; + +currentprojection=orthographic(5,4,2); + +size(12cm,0); + +real f(pair z) {return min(sqrt(1-z.x^2),sqrt(1-z.y^2));} + +surface s=surface(f,(0,0),(1,1),40,Spline); + +transform3 t=rotate(90,O,Z), t2=t*t, t3=t2*t, i=xscale3(-1)*zscale3(-1); +draw(surface(s,t*s,t2*s,t3*s,i*s,i*t*s,i*t2*s,i*t3*s),blue, + render(compression=Low,closed=true,merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/pipes.asy b/Master/texmf-dist/doc/asymptote/examples/pipes.asy new file mode 100644 index 00000000000..6b2025f6b35 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/pipes.asy @@ -0,0 +1,140 @@ +import solids; +import tube; +import graph3; +import palette; +size(8cm); + +currentprojection=perspective( +camera=(13.3596389245356,8.01038090435314,14.4864483364785), +up=(-0.0207054323419367,-0.00472438375047319,0.0236460907598947), +target=(-1.06042550499095,2.68154529985845,0.795007562120261)); + +defaultpen(fontsize(6pt)); + +// draw coordinates and frames +// axis1 is defined by z axis of TBase +// axis2 is defined by z axis of TEnd +void DrawFrame(transform3 TBase, transform3 TEnd, string s) +{ + triple p1,v1,p2,v2; + p1=TBase*O; + v1=TBase*Z-p1; + p2=TEnd*O; + v2=TEnd*Z-p2; + triple n=cross(v1,v2); + + real[][] A= + { + {v1.x,-v2.x,-n.x}, + {v1.y,-v2.y,-n.y}, + {v1.z,-v2.z,-n.z} + }; + + triple vb=p2-p1; + + real[] b={vb.x,vb.y,vb.z}; + + // Get the extention along vector v1 and v2, + // so, we can get the common normal between two axis + real[] x=solve(A,b); + + real s1=x[0]; + real s2=x[1]; + + // get foot of a perpendicular on both axies + triple foot1=p1+s1*v1; + triple foot2=p2+s2*v2; + + // draw two axis + triple axis_a,axis_b; + axis_a=p1+s1*v1*1.5; + axis_b=p1-s1*v1*1.5; + draw(axis_a--axis_b); + + axis_a=p2+s2*v2*1.5; + axis_b=p2-s2*v2*1.5; + draw(axis_a--axis_b); + + // draw "a"(common normal) + draw(Label("$a_{"+s+"}$"),foot1--foot2,linewidth(1pt)); + + // draw the coordinates frame + triple dx,dy,dz,org; + real length=0.8; + + org=foot1; + dx =length*unit(foot2-foot1); // define the x axis of the frame on "a" + dz =length*unit(v1); // define the z axis which is along axis1 + dy =length*unit(cross(dz,dx)); + + draw(Label("$X_{"+s+"}$",1,align=-dy-dz),org--(org+dx),red+linewidth(1.5pt), + Arrow3(8)); + draw(Label("$Y_{"+s+"}$",1,align=2dy-dz-dx),org--(org+dy), + green+linewidth(1.5pt), Arrow3(8)); + draw(Label("$Z_{"+s+"}$",1,align=-2dx-dy),org--(org+dz), + blue+linewidth(1.5pt), Arrow3(8)); + + dot(Label("$O_{"+s+"}$",align =-dx-dz,black),org,black); // origin + +} + +void DrawLink(transform3 TBase, transform3 TEnd, pen objStyle,string s) +{ + real h=1; + real r=0.5; + path3 generator=(0.5*r,0,h)--(r,0,h)--(r,0,0)--(0.5*r,0,0); + revolution vase=revolution(O,generator,0,360); + surface objSurface=surface(vase); + + render render=render(merge=true); + + // draw two cylinders + draw(TBase*objSurface,objStyle,render); + draw(TEnd*shift((0,0,-h))*objSurface,objStyle,render); + + // draw the link between two cylinders + triple pStart=TBase*(0.5*h*Z); + triple pEnd =TEnd*(-0.5*h*Z); + triple pControl1=0.25*(pEnd-pStart)+TBase*(0,0,h); + triple pControl2=-0.25*(pEnd-pStart)+TEnd*(0,0,-h); + path3 p=pStart..controls pControl1 and pControl2..pEnd; + draw(tube(p,scale(0.2)*unitsquare),objStyle,render); +} + +// t1 and t2 define the starting frame and ending frame of the first link(i-1) +transform3 t1=shift((0,0,1)); +transform3 t2=shift((0,0,-1))*rotate(-20,Y)*shift((0,3,2)); +// as, the two links were connected, so t2 is also the starting frame of link(i) +// t3 defines the ending frame of link(i) +transform3 t3=t2*rotate(40,Z)*shift((0,3,1.5))*rotate(-15,Y)*shift(-1.5*Z); + +// draw link(i-1) +DrawLink(t1,t2,palegreen,"i-1"); +DrawFrame(t1,t2,"i-1"); +// draw link(i) +DrawLink(t2,t3,lightmagenta,"i"); +DrawFrame(t2,t3,"i"); + + +// draw angle alpha, which is the angle between axis(i-1) and axis(i) +triple p0=(0,0,-1); +triple p1=(0,0,2.3); +triple p2=shift((0,0,-1))*rotate(-20,Y)*(0,0,4); +draw(p0--p2,cyan); +draw("$\alpha_{i-1}$",arc(p0,p1,p2,Y,CW),ArcArrow3(3)); + + +// draw angle theta, which is the angle between a_i and a_{i-1} +transform3 tx=shift((0,0,-1))*rotate(-20,Y)*shift((0,3,0)); +p0=tx*O; +p1=tx*(0,3,0); +p2=tx*rotate(40,Z)*(0,3,0); +draw(p0--p1,cyan); +draw(p0--p2,cyan); + +triple p1a=tx*(0,1.5,0); +draw("$\theta_{i}$",arc(p0,p1a,p2),ArcArrow3(3)); + +// draw d_{i-1} +triple org_i =t2*shift((0,0,1.5))*O; +draw(Label("$d_{i}$",0.13),p0--org_i,linewidth(1pt)); diff --git a/Master/texmf-dist/doc/asymptote/examples/pixel.pdf b/Master/texmf-dist/doc/asymptote/examples/pixel.pdf Binary files differnew file mode 100644 index 00000000000..de3d0820da2 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/pixel.pdf diff --git a/Master/texmf-dist/doc/asymptote/examples/planeproject.asy b/Master/texmf-dist/doc/asymptote/examples/planeproject.asy new file mode 100644 index 00000000000..ab8980b613e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/planeproject.asy @@ -0,0 +1,18 @@ +import graph3; + +size3(200,IgnoreAspect); + +currentprojection=orthographic(4,6,3); + +real x(real t) {return 1+cos(2pi*t);} +real y(real t) {return 1+sin(2pi*t);} +real z(real t) {return t;} + +path3 p=graph(x,y,z,0,1,operator ..); + +draw(p,Arrow3); +draw(planeproject(XY*unitsquare3)*p,red,Arrow3); +draw(planeproject(YZ*unitsquare3)*p,green,Arrow3); +draw(planeproject(ZX*unitsquare3)*p,blue,Arrow3); + +axes3("$x$","$y$","$z$"); diff --git a/Master/texmf-dist/doc/asymptote/examples/planes.asy b/Master/texmf-dist/doc/asymptote/examples/planes.asy new file mode 100644 index 00000000000..da859200f03 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/planes.asy @@ -0,0 +1,19 @@ +size(6cm,0); +import bsp; + +real u=2.5; +real v=1; + +currentprojection=oblique; + +path3 y=plane((2u,0,0),(0,2v,0),(-u,-v,0)); +path3 l=rotate(90,Z)*rotate(90,Y)*y; +path3 g=rotate(90,X)*rotate(90,Y)*y; + +face[] faces; +filldraw(faces.push(y),project(y),yellow); +filldraw(faces.push(l),project(l),lightgrey); +filldraw(faces.push(g),project(g),green); + +add(faces); + diff --git a/Master/texmf-dist/doc/asymptote/examples/polararea.asy b/Master/texmf-dist/doc/asymptote/examples/polararea.asy new file mode 100644 index 00000000000..15d42ffd00e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/polararea.asy @@ -0,0 +1,38 @@ +import math; +import graph; + +size(0,150); + +real f(real t) {return 5+cos(10*t);} + +xaxis("$x$"); +yaxis("$y$"); + +real theta1=pi/8; +real theta2=pi/3; +path k=graph(f,theta1,theta2,operator ..); +real rmin=min(k).y; +real rmax=max(k).y; +draw((0,0)--rmax*expi(theta1),dotted); +draw((0,0)--rmax*expi(theta2),dotted); + +path g=polargraph(f,theta1,theta2,operator ..); +path h=(0,0)--g--cycle; +fill(h,lightgray); +draw(h); + +real thetamin=3*pi/10; +real thetamax=2*pi/10; +pair zmin=polar(f(thetamin),thetamin); +pair zmax=polar(f(thetamax),thetamax); +draw((0,0)--zmin,dotted+red); +draw((0,0)--zmax,dotted+blue); + +draw("$\theta_*$",arc((0,0),0.5*rmin,0,degrees(thetamin)),red+fontsize(10pt), + PenMargins); +draw("$\theta^*$",arc((0,0),0.5*rmax,0,degrees(thetamax)),blue+fontsize(10pt), + PenMargins); + +draw(arc((0,0),rmin,degrees(theta1),degrees(theta2)),red,PenMargins); +draw(arc((0,0),rmax,degrees(theta1),degrees(theta2)),blue,PenMargins); + diff --git a/Master/texmf-dist/doc/asymptote/examples/polarcircle.asy b/Master/texmf-dist/doc/asymptote/examples/polarcircle.asy new file mode 100644 index 00000000000..ce7ed948199 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/polarcircle.asy @@ -0,0 +1,30 @@ +import math; +import graph; +size(0,100); + +real f(real t) {return 2*cos(t);} +pair F(real x) {return (x,f(x));} + +draw(polargraph(f,0,pi,operator ..)); + +defaultpen(fontsize(10pt)); + +xaxis("$x$"); +yaxis("$y$"); + +real theta=radians(50); +real r=f(theta); +draw("$\theta$",arc((0,0),0.5,0,degrees(theta)),red,Arrow,PenMargins); + +pair z=polar(r,theta); +draw(z--(z.x,0),dotted+red); +draw((0,0)--(z.x,0),dotted+red); +label("$r\cos\theta$",(0.5*z.x,0),0.5*S,red); +label("$r\sin\theta$",(z.x,0.5*z.y),0.5*E,red); +dot("$(x,y)$",z,N); +draw("r",(0,0)--z,0.5*unit(z)*I,blue,Arrow,DotMargin); + +dot("$(a,0)$",(1,0),NE); +dot("$(2a,0)$",(2,0),NE); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/polardatagraph.asy b/Master/texmf-dist/doc/asymptote/examples/polardatagraph.asy new file mode 100644 index 00000000000..6bd646e8aa4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/polardatagraph.asy @@ -0,0 +1,17 @@ +import graph; + +size(100); + +int n=30; +real minRadius=0.2; +real angles[]=uniform(0,2pi,n); +angles.delete(angles.length-1); + +real[] r=new real[n]; +for(int i=0; i < n; ++i) + r[i]=unitrand()*(1-minRadius)+minRadius; + +interpolate join=operator ..(operator tension(10,true)); +draw(join(polargraph(r,angles,join),cycle),dot(red)); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/poster.asy b/Master/texmf-dist/doc/asymptote/examples/poster.asy new file mode 100644 index 00000000000..cbcefc4bf69 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/poster.asy @@ -0,0 +1,33 @@ +orientation=Landscape; +import slide; +import graph; + +defaultpen(deepblue); +pagenumberpen=invisible; + +real f(real x) {return (x != 0) ? x*sin(1/x) : 0;} +pair F(real x) {return (x,f(x));} + +xaxis(background,grey); +yaxis(background,-0.25,0.25,grey); +real a=1.2/pi; +draw(background,graph(background,f,-a,a,10000),grey); +label(background,"$x\sin\frac{1}{x}$",F(0.92/pi),3SE,grey+fontsize(14pt)); +frame f=background.fit(); +box(f,RadialShade(yellow,0.6*yellow+red),above=false); +background.erase(); +add(background,f); + +title("Young Researchers' Conference",align=3S,fontsize(48pt)); +center("University of Alberta, Edmonton, April 1--2, 2006"); + +skip(4); + +center("A general conference for\\ +the mathematical and statistical sciences\\ +for graduate students, by graduate students.",fontsize(32pt)); + +label("Registration and abstract submission online.",(0,-0.5)); + +label("\tt http://www.pims.math.ca/science/2006/06yrc/",point(SW),2NE, + black+fontsize(18pt)); diff --git a/Master/texmf-dist/doc/asymptote/examples/progrid.asy b/Master/texmf-dist/doc/asymptote/examples/progrid.asy new file mode 100644 index 00000000000..20400b7148a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/progrid.asy @@ -0,0 +1 @@ +label("$\displaystyle X_i = \sum_{j=1}^{N} a_{ij} f_j$"); diff --git a/Master/texmf-dist/doc/asymptote/examples/projectelevation.asy b/Master/texmf-dist/doc/asymptote/examples/projectelevation.asy new file mode 100644 index 00000000000..6ffe5126633 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/projectelevation.asy @@ -0,0 +1,17 @@ +import graph3; +import grid3; +import palette; + +currentprojection=orthographic(0.8,1,2); +size(400,300,IgnoreAspect); + +real f(pair z) {return cos(2*pi*z.x)*sin(2*pi*z.y);} + +surface s=surface(f,(-1/2,-1/2),(1/2,1/2),50,Spline); + +surface S=planeproject(unitsquare3)*s; +S.colors(palette(s.map(zpart),Rainbow())); +draw(S,nolight); +draw(s,lightgray+opacity(0.7)); + +grid3(XYZgrid); diff --git a/Master/texmf-dist/doc/asymptote/examples/projectrevolution.asy b/Master/texmf-dist/doc/asymptote/examples/projectrevolution.asy new file mode 100644 index 00000000000..25cbe6d4902 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/projectrevolution.asy @@ -0,0 +1,17 @@ +import solids; +import palette; + +currentprojection=orthographic(20,0,3); + +size(400,300,IgnoreAspect); + +revolution r=revolution(new real(real x) {return sin(x)*exp(-x/2);}, + 0,2pi,operator ..,Z); +surface s=surface(r); + +surface S=planeproject(shift(-Z)*unitsquare3)*s; +S.colors(palette(s.map(zpart),Rainbow())); + +render render=render(compression=Low,merge=true); +draw(S,render); +draw(s,lightgray,render); diff --git a/Master/texmf-dist/doc/asymptote/examples/pseudosphere.asy b/Master/texmf-dist/doc/asymptote/examples/pseudosphere.asy new file mode 100644 index 00000000000..a740381ef0e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/pseudosphere.asy @@ -0,0 +1,33 @@ +// Pseudosphere: +// x = a sin(u) cos(v); +// y = a sin(u) sin(v); +// z = a (ln(tg(u/2))+cos(u)); + +import three; +import solids; +import graph3; +import palette; + +triple pseudosphere(real x) { + return (sin(x),0,cos(x)+log(tan(x/2))); +} + +size(20cm,IgnoreAspect); +currentprojection=orthographic(160,40,100); +currentlight=(50,50,50); + +path3 G=graph(pseudosphere,0.5pi,0.965pi,10,Spline); + +revolution r=revolution(O,G,Z); + +draw(r,1,longitudinalpen=nullpen); +surface s=surface(r); +s.colors(palette(s.map(zpart),Gradient(cyan+white+opacity(0.9), + magenta+white+opacity(0.9)))); +draw(s); + +draw(r,6,backpen=linetype("10 10",10),longitudinalpen=nullpen); + +int n=10; +for(int i=0; i < n; ++i) + draw(rotate(i*360/n,O,Z)*G); diff --git a/Master/texmf-dist/doc/asymptote/examples/quartercircle.asy b/Master/texmf-dist/doc/asymptote/examples/quartercircle.asy new file mode 100644 index 00000000000..6565daa046e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/quartercircle.asy @@ -0,0 +1,2 @@ +size(100,0); +draw((1,0){up}..{left}(0,1),Arrow); diff --git a/Master/texmf-dist/doc/asymptote/examples/quilt.asy b/Master/texmf-dist/doc/asymptote/examples/quilt.asy new file mode 100644 index 00000000000..7a84017762c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/quilt.asy @@ -0,0 +1,44 @@ +import math; + +int n=8, skip=3; + +pair r(int k) { return unityroot(n,k); } + +pen col=blue, col2=purple; + +guide square=box((1,1),(-1,-1)); + +guide step(int mult) +{ + guide g; + for(int k=0; k<n; ++k) + g=g--r(mult*k); + g=g--cycle; + return g; +} + +guide oct=step(1), star=step(skip); + +guide wedge(pair z, pair v, real r, real a) +{ + pair w=expi(a/2.0); + v=unit(v)*r; + return shift(z)*((0,0)--v*w--v*conj(w)--cycle); +} + +filldraw(square, col); +filldraw(oct, yellow); + +// The interior angle of the points of the star. +real intang=pi*(1-((real)2skip)/((real)n)); + +for(int k=0; k<n; ++k) { + pair z=midpoint(r(k)--r(k+1)); + guide g=wedge(z,-z,1,intang); + filldraw(g,col2); +} + +fill(star,yellow); +filldraw(star,evenodd+col); + +size(5inch,0); diff --git a/Master/texmf-dist/doc/asymptote/examples/rainbow.asy b/Master/texmf-dist/doc/asymptote/examples/rainbow.asy new file mode 100644 index 00000000000..c85282a87b1 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/rainbow.asy @@ -0,0 +1,12 @@ +size(200); + +pen indigo=rgb(102/255,0,238/255); + +void rainbow(path g) { + draw(new path[] {scale(1.3)*g,scale(1.2)*g,scale(1.1)*g,g, + scale(0.9)*g,scale(0.8)*g,scale(0.7)*g}, + new pen[] {red,orange,yellow,green,blue,indigo,purple}); +} + +rainbow((1,0){N}..(0,1){W}..{S}(-1,0)); +rainbow(scale(4)*shift(-0.5,-0.5)*unitsquare); diff --git a/Master/texmf-dist/doc/asymptote/examples/randompath3.asy b/Master/texmf-dist/doc/asymptote/examples/randompath3.asy new file mode 100644 index 00000000000..755c3a29128 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/randompath3.asy @@ -0,0 +1,4 @@ +import three; + +size(300); +draw(randompath3(100),red,currentlight); diff --git a/Master/texmf-dist/doc/asymptote/examples/ring.asy b/Master/texmf-dist/doc/asymptote/examples/ring.asy new file mode 100644 index 00000000000..5fec60d4c0b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/ring.asy @@ -0,0 +1,4 @@ +size(0,100); +path g=scale(2)*unitcircle; +label("$a \le r \le b$"); +radialshade(unitcircle^^g,yellow+evenodd,(0,0),1.0,yellow+brown,(0,0),2); diff --git a/Master/texmf-dist/doc/asymptote/examples/roll.asy b/Master/texmf-dist/doc/asymptote/examples/roll.asy new file mode 100644 index 00000000000..4d15ac0febe --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/roll.asy @@ -0,0 +1,10 @@ +import graph3; + +size(200,0); + +triple f(pair t) { +return(t.x+t.y/4+sin(t.y),cos(t.y),sin(t.y)); +} + +surface s=surface(f,(0,0),(2pi,2pi),7,20,Spline); +draw(s,olive,render(merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/roundpath.asy b/Master/texmf-dist/doc/asymptote/examples/roundpath.asy new file mode 100644 index 00000000000..e6d31c6bc9c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/roundpath.asy @@ -0,0 +1,32 @@ +// example file for 'roundedpath.asy' +// written by stefan knorr + +// import needed packages +import roundedpath; + +// define open and closed path +path A = (0,0)--(10,10)--(30,10)--(20,0)--(30,-10)--(10,-10); +path B = A--cycle; + +draw(shift(-60,0)*A, green); +draw(shift(-30,0)*roundedpath(A,1), red); + +// draw open path and some modifications +for (int i = 1; i < 20; ++i) + draw(roundedpath(A,i/4), rgb(1 - i*0.049, 0, i*0.049) + linewidth(0.5)); + +draw(shift(-60,-30)*B, green); +draw(shift(-30,-30)*roundedpath(B,1), red); + +//draw closed path and some modifications +for (int i = 1; i < 20; ++i) // only round edges + draw(shift(0,-30)*roundedpath(B,i/4), rgb(0.5, i*0.049,0) + linewidth(0.5)); + +for (int i = 1; i < 20; ++i) // round edged and scale + draw(shift(0,-60)*roundedpath(B,i/4,1-i/50), rgb(1, 1 - i*0.049,i*0.049) + linewidth(0.5)); + +for (int i = 1; i < 50; ++i) // shift (round edged und scaled shifted version) + draw(shift(-30,-60)*shift(10,0)*roundedpath(shift(-10,0)*B,i/10,1-i/80), rgb( i*0.024, 1 - i*0.024,0) + linewidth(0.5)); + +for (int i = 1; i < 20; ++i) // shift (round edged und scaled shifted version) + draw(shift(-60,-60)*shift(10,0)*roundedpath(shift(-10,0)*B,i/4,1-i/50), gray(i/40)); diff --git a/Master/texmf-dist/doc/asymptote/examples/sacone.asy b/Master/texmf-dist/doc/asymptote/examples/sacone.asy new file mode 100644 index 00000000000..9cdd0e138af --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sacone.asy @@ -0,0 +1,23 @@ +size(0,150); + +pair z0=(0,0); +real r=1; +real h=1; +real l=sqrt(r^2+h^2); +real a=(1-r/l)*360; +real a1=a/2; +real a2=360-a/2; +path g=arc(z0,r,a1,a2); +fill((0,0)--g--cycle,lightgreen); +draw(g); +pair z1=point(g,0); +pair z2=point(g,length(g)); + +real r2=1.1*r; +path c=arc(0,r2,a1,a2); +draw("$2\pi r$",c,red,Arrows,Bars,PenMargins); +pen edge=blue+0.5mm; +draw("$\ell$",z0--z1,0.5*SE,edge); +draw(z0--z2,edge); +draw(arc(z0,r,a2-360,a1),grey+dashed); +dot(0); diff --git a/Master/texmf-dist/doc/asymptote/examples/sacone3D.asy b/Master/texmf-dist/doc/asymptote/examples/sacone3D.asy new file mode 100644 index 00000000000..d8f3aa373d3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sacone3D.asy @@ -0,0 +1,14 @@ +import solids; + +size(0,75); +real r=1; +real h=1; + +revolution R=cone(r,h); + +draw(surface(R),lightgreen+opacity(0.5),render(compression=Low)); +pen edge=blue+0.25mm; +draw("$\ell$",(0,r,0)--(0,0,h),W,edge); +draw("$r$",(0,0,0)--(r,0,0),red+dashed); +draw((0,0,0)--(0,0,h),red+dashed); +dot(h*Z); diff --git a/Master/texmf-dist/doc/asymptote/examples/sacylinder.asy b/Master/texmf-dist/doc/asymptote/examples/sacylinder.asy new file mode 100644 index 00000000000..06f7909d52a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sacylinder.asy @@ -0,0 +1,26 @@ +import graph; +size(0,100); + +real r=1; +real h=3; + +yaxis(dashed); + +real m=0.475*h; + +draw((r,0)--(r,h)); +label("$L$",(r,0.5*h),E); + +real s=4; + +pair z1=(s,0); +pair z2=z1+(2*pi*r,h); +filldraw(box(z1,z2),lightgreen); +pair zm=0.5*(z1+z2); +label("$L$",(z1.x,zm.y),W); +label("$2\pi r$",(zm.x,z2.y),N); +draw("$r$",(0,m)--(r,m),N,red,Arrows); + +draw((0,1.015h),yscale(0.5)*arc(0,0.25cm,-250,70),red,ArcArrow); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/sacylinder3D.asy b/Master/texmf-dist/doc/asymptote/examples/sacylinder3D.asy new file mode 100644 index 00000000000..fcc1a487bbe --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sacylinder3D.asy @@ -0,0 +1,14 @@ +import solids; +size(0,100); + +real r=1; +real h=3; + +revolution R=cylinder(-h/2*Z,r,h); +draw(surface(R),lightgreen+opacity(0.5),render(compression=Low)); +draw((0,0,-h/2)--(0,0,h/2),dashed); +dot((0,0,-h/2)); +dot((0,0,h/2)); +draw("$L$",(0,r,-h/2)--(0,r,h/2),W,black); +draw("$r$",(0,0,-h/2)--(0,r,-h/2),red); +draw(arc(O,1,90,90,90,0),red,Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/saddle.asy b/Master/texmf-dist/doc/asymptote/examples/saddle.asy new file mode 100644 index 00000000000..0180bf125a6 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/saddle.asy @@ -0,0 +1,7 @@ +import three; + +size(100,0); +path3 g=(1,0,0)..(0,1,1)..(-1,0,0)..(0,-1,1)..cycle; +draw(g); +draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle)); +dot(g,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/scaledgraph.asy b/Master/texmf-dist/doc/asymptote/examples/scaledgraph.asy new file mode 100644 index 00000000000..408c10cc582 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/scaledgraph.asy @@ -0,0 +1,15 @@ +import graph; + +axiscoverage=0.9; +size(200,IgnoreAspect); + +real[] x={-1e-11,1e-11}; +real[] y={0,1e6}; + +real xscale=round(log10(max(x))); +real yscale=round(log10(max(y)))-1; + +draw(graph(x*10^(-xscale),y*10^(-yscale)),red); + +xaxis("$x/10^{"+(string) xscale+"}$",BottomTop,LeftTicks); +yaxis("$y/10^{"+(string) yscale+"}$",LeftRight,RightTicks(trailingzero)); diff --git a/Master/texmf-dist/doc/asymptote/examples/secondaryaxis.asy b/Master/texmf-dist/doc/asymptote/examples/secondaryaxis.asy new file mode 100644 index 00000000000..39f802f935d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/secondaryaxis.asy @@ -0,0 +1,32 @@ +import graph; + +size(9cm,6cm,IgnoreAspect); +string data="secondaryaxis.csv"; + +file in=input(data).line().csv(); + +string[] titlelabel=in; +string[] columnlabel=in; + +real[][] a=in.dimension(0,0); +a=transpose(a); +real[] t=a[0], susceptible=a[1], infectious=a[2], dead=a[3], larvae=a[4]; +real[] susceptibleM=a[5], exposed=a[6],infectiousM=a[7]; + +scale(true); + +draw(graph(t,susceptible,t >= 10 & t <= 15)); +draw(graph(t,dead,t >= 10 & t <= 15),dashed); + +xaxis("Time ($\tau$)",BottomTop,LeftTicks); +yaxis(Left,RightTicks); + +picture secondary=secondaryY(new void(picture pic) { + scale(pic,Linear(true),Log(true)); + draw(pic,graph(pic,t,infectious,t >= 10 & t <= 15),red); + yaxis(pic,Right,red,LeftTicks(begin=false,end=false)); + }); + +add(secondary); +label(shift(5mm*N)*"Proportion of crows",point(NW),E); + diff --git a/Master/texmf-dist/doc/asymptote/examples/secondaryaxis.csv 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+99.4,0.002,0.000,0.998,12.795,30.001,0.000,0.000 +99.5,0.002,0.000,0.998,12.795,30.001,0.000,0.000 +99.6,0.002,0.000,0.998,12.795,30.001,0.000,0.000 +99.7,0.002,0.000,0.998,12.795,30.001,0.000,0.000 +99.8,0.002,0.000,0.998,12.795,30.001,0.000,0.000 +99.9,0.002,0.000,0.998,12.795,30.001,0.000,0.000 +100,0.002,0.000,0.998,12.795,30.001,0.000,0.000 diff --git a/Master/texmf-dist/doc/asymptote/examples/shade.asy b/Master/texmf-dist/doc/asymptote/examples/shade.asy new file mode 100644 index 00000000000..66b8880fd4b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/shade.asy @@ -0,0 +1,4 @@ + +size(100,0); +radialshade(unitsquare,yellow,(0,0),0,red,(0,0),1); + diff --git a/Master/texmf-dist/doc/asymptote/examples/shadedtiling.asy b/Master/texmf-dist/doc/asymptote/examples/shadedtiling.asy new file mode 100644 index 00000000000..4d3b8ae894b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/shadedtiling.asy @@ -0,0 +1,12 @@ +size(0,100); +import patterns; + +real d=4mm; +picture tiling; +path square=scale(d)*unitsquare; +axialshade(tiling,square,white,(0,0),black,(d,d)); +fill(tiling,shift(d,d)*square,blue); +add("shadedtiling",tiling); + +filldraw(unitcircle,pattern("shadedtiling")); + diff --git a/Master/texmf-dist/doc/asymptote/examples/shadestroke.asy b/Master/texmf-dist/doc/asymptote/examples/shadestroke.asy new file mode 100644 index 00000000000..44f0b6e8a3f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/shadestroke.asy @@ -0,0 +1,5 @@ +size(100); + +radialshade(W..N..E--(0,0),stroke=true, + red+linewidth(30),(0,0),0.25,yellow,(0,0),1); + diff --git a/Master/texmf-dist/doc/asymptote/examples/shellmethod.asy b/Master/texmf-dist/doc/asymptote/examples/shellmethod.asy new file mode 100644 index 00000000000..c8e541f2a62 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/shellmethod.asy @@ -0,0 +1,41 @@ +import graph3; +import solids; + +size(400); +currentprojection=perspective(0,-1,30,up=Y); +currentlight=light(gray(0.75),(0.25,-0.25,1),(0,1,0)); + +pen color=green; +real alpha=240; + +real f(real x) {return 2x^2-x^3;} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} + +int n=10; +path3[] blocks=new path3[n]; +for(int i=1; i <= n; ++i) { + real height=f((i-0.5)*2/n); + real left=(i-1)*2/n; + real right=i*2/n; + blocks[i-1]= + (left,0,0)--(left,height,0)--(right,height,0)--(right,0,0)--cycle; +} + +path p=graph(F,0,2,n,operator ..)--cycle; +surface s=surface(p); +path3 p3=path3(p); + +render render=render(compression=0,merge=true); + +revolution a=revolution(p3,Y,0,alpha); +draw(surface(a),color,render); +draw(rotate(alpha,Y)*s,color,render); +for(int i=0; i < n; ++i) + draw(surface(blocks[i]),color+opacity(0.5),black,render); +draw(p3); + +xaxis3(Label("$x$",1,align=2X),Arrow3); +yaxis3(Label("$y$",1,align=2Y),ymax=1.4,dashed,Arrow3); +arrow("$y=2x^2-x^3$",XYplane(F(1.8)),X+Z,1.5cm,red,Arrow3(DefaultHead2)); +draw(arc(1.17Y,0.3,90,0,7.5,180),ArcArrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/shellsqrtx01.asy b/Master/texmf-dist/doc/asymptote/examples/shellsqrtx01.asy new file mode 100644 index 00000000000..553200df14c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/shellsqrtx01.asy @@ -0,0 +1,36 @@ +import graph3; +import solids; +size(0,150); +currentprojection=orthographic(1,0,10,up=Y); +pen color=green; +real alpha=-240; + +real f(real x) {return sqrt(x);} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} + +path p=graph(F,0,1,n=30,operator ..)--(1,0)--cycle; +path3 p3=path3(p); + +revolution a=revolution(p3,X,alpha,0); + +render render=render(compression=0,merge=true); +draw(surface(a),color,render); +draw(p3,blue); + +surface s=surface(p); +draw(s,color,render); +draw(rotate(alpha,X)*s,color,render); + +xaxis3(Label("$x$",1),xmax=1.25,dashed,Arrow3); +yaxis3(Label("$y$",1),Arrow3); + +dot("$(1,1)$",(1,1,0)); +arrow("$y=\sqrt{x}$",F3(0.8),Y,0.75cm,red); + +real r=0.4; +draw(F3(r)--(1,f(r),0),red); +real x=(1+r)/2; + +draw("$r$",(x,0,0)--(x,f(r),0),X+0.2Z,red,Arrow3,PenMargin3); +draw(arc(1.1X,0.4,90,90,3,-90),Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/sin1x.asy b/Master/texmf-dist/doc/asymptote/examples/sin1x.asy new file mode 100644 index 00000000000..637943691f1 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sin1x.asy @@ -0,0 +1,16 @@ +import graph; +size(200,0); + +real f(real x) {return (x != 0) ? sin(1/x) : 0;} +real T(real x) {return 2/(x*pi);} + +real a=-4/pi, b=4/pi; +int n=150,m=5; + +xaxis("$x$",red); +yaxis(red); + +draw(graph(f,a,-T(m),n)--graph(f,-m,-(m+n),n,T)--(0,f(0))--graph(f,m+n,m,n,T)-- + graph(f,T(m),b,n)); + +label("$\sin\frac{1}{x}$",(b,f(b)),SW); diff --git a/Master/texmf-dist/doc/asymptote/examples/sin3.asy b/Master/texmf-dist/doc/asymptote/examples/sin3.asy new file mode 100644 index 00000000000..76551dacb95 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sin3.asy @@ -0,0 +1,22 @@ +import graph3; +import palette; + +size(12cm,IgnoreAspect); +currentprojection=orthographic(1,-2,1); + +real f(pair z) {return abs(sin(z));} + +real Arg(triple v) {return degrees(cos((v.x,v.y)),warn=false);} + +surface s=surface(f,(-pi,-2),(pi,2),20,Spline); + +s.colors(palette(s.map(Arg),Wheel())); +draw(s,render(compression=Low,merge=true)); + +real xmin=point((-1,-1,-1)).x; +real xmax=point((1,1,1)).x; +draw((xmin,0,0)--(xmax,0,0),dashed); + +xaxis3("$\mathop{\rm Re} z$",Bounds,InTicks); +yaxis3("$\mathop{\rm Im} z$",Bounds,InTicks(beginlabel=false)); +zaxis3("$|\sin(z)|$",Bounds,InTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/sinc.asy b/Master/texmf-dist/doc/asymptote/examples/sinc.asy new file mode 100644 index 00000000000..352585bdbe4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sinc.asy @@ -0,0 +1,24 @@ +import graph3; +import contour; + +currentprojection=orthographic(1,-2,1); +currentlight=White; + +size(12cm,0); + +real sinc(pair z) { + real r=2pi*abs(z); + return r != 0 ? sin(r)/r : 1; +} + +render render=render(compression=Low,merge=true); + +draw(lift(sinc,contour(sinc,(-2,-2),(2,2),new real[] {0})),red); +draw(surface(sinc,(-2,-2),(2,2),Spline),lightgray,render); + +draw(scale3(2*sqrt(2))*unitdisk,paleyellow+opacity(0.25),nolight,render); +draw(scale3(2*sqrt(2))*unitcircle3,red,render); + +xaxis3("$x$",Bounds,InTicks); +yaxis3("$y$",Bounds,InTicks(beginlabel=false)); +zaxis3("$z$",Bounds,InTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/sinxlex.asy b/Master/texmf-dist/doc/asymptote/examples/sinxlex.asy new file mode 100644 index 00000000000..912fa3c889b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sinxlex.asy @@ -0,0 +1,24 @@ +import geometry; + +size(0,100); +real theta=30; + +pair A=(0,0); +pair B=dir(theta); +pair C=(1,0); +pair D=(1,Tan(theta)); +pair E=(Cos(theta),0); + +filldraw(A--C{N}..B--cycle,lightgrey); +draw(B--C--D--cycle); +draw(B--E); + +draw("$x$",arc(C,A,B,0.7),RightSide,Arrow,PenMargin); + +dot("$A$",A,W); +dot("$B$",B,NW); +dot("$C$",C); +dot("$D$",D); +dot(("$E$"),E,S); +label("$1$",A--B,LeftSide); + diff --git a/Master/texmf-dist/doc/asymptote/examples/slidedemo.asy b/Master/texmf-dist/doc/asymptote/examples/slidedemo.asy new file mode 100644 index 00000000000..0cbd15af741 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/slidedemo.asy @@ -0,0 +1,118 @@ +// Slide demo. +// Command-line options to enable stepping and/or reverse video: +// asy [-u stepping=true] [-u reverse=true] [-u itemstep=true] slidedemo + +orientation=Landscape; + +import slide; +import three; + +viewportsize=pagewidth-2pagemargin; + +usersetting(); + +// Commands to generate optional bibtex citations: +// asy slidedemo +// bibtex slidedemo_ +// asy slidedemo +// +bibliographystyle("alpha"); + +// Generated needed files if they don't already exist. +asy(nativeformat(),"Pythagoras","log","PythagoreanTree"); +usepackage("mflogo"); + +// Optional background color or header: +// import x11colors; +// fill(background,box((-1,-1),(1,1)),Azure); +// label(background,"Header",(0,startposition.y)); + +titlepage(title="Slides with {\tt Asymptote}: A Demo", + author="John C. Bowman", + institution="University of Alberta", + date="\today", + url="http://asymptote.sf.net"); + +outline("Basic Commands"); +item("item"); +subitem("subitem"); +remark("remark"); +item("draw \cite{Hobby86,Knuth86b}"); +item("figure"); +item("embedded and external animations: see {\tt slidemovie.asy}"); + +title("Items"); +item("First item."); +subitem("First subitem."); +subitem("Second subitem."); +item("Second item."); +equation("a^2+b^2=c^2."); +equations("\frac{\sin^2\theta+\cos^2\theta}{\cos^2\theta} +&=&\frac{1}{\cos^2\theta}\nonumber\\ +&=&\sec^2\theta."); +remark("A remark."); +item("To enable pausing between bullets:"); +remark("{\tt asy -u stepping=true}"); +item("To enable reverse video:"); +remark("{\tt asy -u reverse=true}"); + +title("Can draw on a slide, preserving the aspect ratio:"); +picture pic,pic2; +draw(pic,unitcircle); +add(pic.fit(15cm)); +step(); +fill(pic2,unitcircle,paleblue); +label(pic2,"$\pi$",(0,0),fontsize(500pt)); +add(pic2.fit(15cm)); + +newslide(); +item("The slide \Red{title} \Green{can} \Blue{be} omitted."); +figure("Pythagoras","height=12cm", + "A simple proof of Pythagoras' Theorem."); + +newslide(); +item("Single skip:"); +skip(); +item("Double skip:"); +skip(2); +figure(new string[] {"log."+nativeformat(),"PythagoreanTree."+nativeformat()}, + "width=10cm",new string[] {"{\tt log.asy}","{\tt PythagoreanTree.asy}"}, + "Examples of {\tt Asymptote} output."); + +title("Embedded Interactive 3D Graphics"); +picture pic; +import graph3; +import solids; +viewportmargin=(0,1cm); +currentprojection=orthographic(1,0,10,up=Y); +pen color=green; +real alpha=-240; +real f(real x) {return sqrt(x);} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} +path p=graph(pic,F,0,1,n=30,operator ..)--(1,0)--cycle; +path3 p3=path3(p); +revolution a=revolution(p3,X,alpha,0); +render render=render(compression=0,merge=true); +draw(pic,surface(a),color,render); +draw(pic,p3,blue); +surface s=surface(p); +draw(pic,s,color,render); +draw(pic,rotate(alpha,X)*s,color,render); +xaxis3(pic,Label("$x$",1),xmax=1.25,dashed,Arrow3); +yaxis3(pic,Label("$y$",1),Arrow3); +dot(pic,"$(1,1)$",(1,1,0)); +arrow(pic,"$y=\sqrt{x}$",F3(0.8),Y,0.75cm,red); +real r=0.4; +draw(pic,F3(r)--(1,f(r),0),red); +real x=(1+r)/2; +draw(pic,"$r$",(x,0,0)--(x,f(r),0),X+0.2Z,red,Arrow3); +draw(pic,arc(1.1X,0.4,90,90,3,-90),Arrow3); +add(pic.fit(0,14cm)); + +title("\mbox{Asymptote: 2D \& 3D Vector Graphics Language}"); +asyinclude("logo3"); +center("\tt http://asymptote.sf.net"); +center("(freely available under the LGPL license)"); + +bibliography("refs"); diff --git a/Master/texmf-dist/doc/asymptote/examples/slopefield1.asy b/Master/texmf-dist/doc/asymptote/examples/slopefield1.asy new file mode 100644 index 00000000000..fd60de4f632 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/slopefield1.asy @@ -0,0 +1,9 @@ +import slopefield; + +size(200); + +real func(real x) {return 2x;} +add(slopefield(func,(-3,-3),(3,3),20,Arrow)); +draw(curve((0,0),func,(-3,-3),(3,3)),red); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/smoothelevation.asy b/Master/texmf-dist/doc/asymptote/examples/smoothelevation.asy new file mode 100644 index 00000000000..a7995b7079a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/smoothelevation.asy @@ -0,0 +1,26 @@ +import graph3; +import grid3; +import palette; + +currentlight=Viewport; + +if(settings.render <= 0) settings.prc=false; + +currentprojection=orthographic(1,2,13); + +size(400,300,IgnoreAspect); + +real f(pair z) {return cos(2*pi*z.x)*sin(2*pi*z.y);} + +surface s=surface(f,(-1/2,-1/2),(1/2,1/2),20,Spline); +s.colors(palette(s.map(zpart),Rainbow())); + +draw(s); + +scale(true); + +xaxis3(Label("$x$",0.5),Bounds,InTicks); +yaxis3(Label("$y$",0.5),Bounds,InTicks); +zaxis3(Label("$z$",0.5),Bounds,InTicks(beginlabel=false)); + +grid3(XYZgrid); diff --git a/Master/texmf-dist/doc/asymptote/examples/soccerball.asy b/Master/texmf-dist/doc/asymptote/examples/soccerball.asy new file mode 100644 index 00000000000..a37063dbb29 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/soccerball.asy @@ -0,0 +1,87 @@ +import graph3; +size(400); +currentlight.background=palegreen; + +defaultrender=render(compression=Zero,merge=true); + +real c=(1+sqrt(5))/2; + +triple[] z={(c,1,0),(-c,1,0),(-c,-1,0),(c,-1,0)}; +triple[] x={(0,c,1),(0,-c,1),(0,-c,-1),(0,c,-1)}; +triple[] y={(1,0,c),(1,0,-c),(-1,0,-c),(-1,0,c)}; + +triple[][] Q={ + {z[0],y[1],x[3],x[0],y[0],z[3]}, + {z[1],x[0],x[3],y[2],z[2],y[3]}, + {z[2],z[1],y[2],x[2],x[1],y[3]}, + {z[3],z[0],y[0],x[1],x[2],y[1]}, + {x[0],x[3],z[1],y[3],y[0],z[0]}, + {x[1],x[2],z[2],y[3],y[0],z[3]}, + {x[2],x[1],z[3],y[1],y[2],z[2]}, + {x[3],x[0],z[0],y[1],y[2],z[1]}, + {y[0],y[3],x[1],z[3],z[0],x[0]}, + {y[1],y[2],x[2],z[3],z[0],x[3]}, + {y[2],y[1],x[3],z[1],z[2],x[2]}, + {y[3],y[0],x[0],z[1],z[2],x[1]} +}; + +path3 p=arc(O,Q[0][0],Q[0][1]); +real R=abs(point(p,reltime(p,1/3))); + +triple[][] P; +for(int i=0; i < Q.length; ++i){ + P[i]=new triple[] ; + for(int j=0; j < Q[i].length; ++j){ + P[i][j]=Q[i][j]/R; + } +} + +surface sphericaltriangle(triple center, triple A, triple B, triple C, + int nu=3, int nv=nu) { + path3 tri1=arc(center,A,B); + path3 tri2=arc(center,A,C); + path3 tri3=arc(center,B,C); + triple tri(pair p) { + path3 cr=arc(O,relpoint(tri2,p.x),relpoint(tri3,p.x)); + return relpoint(cr,p.y); + }; + + return surface(tri,(0,0),(1-sqrtEpsilon,1),nu,nv,Spline); +} + +for(int i=0; i < P.length; ++i){ + triple[] pentagon=sequence(new triple(int k) { + path3 p=arc(O,P[i][0],P[i][k+1]); + return point(p,reltime(p,1/3)); + },5); + pentagon.cyclic=true; + draw(sequence(new path3(int k) { + return arc(O,pentagon[k],pentagon[k+1]);},5),linewidth(2pt)); + triple M=unit(sum(pentagon)/5); + for(int i=0; i < 5; ++i){ + surface sf=sphericaltriangle(O,pentagon[i],M,pentagon[i+1]); + draw(sf,black); + } +} + +for(int i=0; i < P.length; ++i){ + for(int j=1; j <= 5; ++j){ + triple K=P[i][0]; + triple A=P[i][j]; + triple B=P[i][(j % 5)+1]; + path3[] p={arc(O,K,A),arc(O,A,B),arc(O,B,K)}; + draw(subpath(p[0],reltime(p[0],1/3),reltime(p[0],2/3)),linewidth(4pt)); + triple[] hexagon={point(p[0],reltime(p[0],1/3)), + point(p[0],reltime(p[0],2/3)), + point(p[1],reltime(p[1],1/3)), + point(p[1],reltime(p[1],2/3)), + point(p[2],reltime(p[2],1/3)), + point(p[2],reltime(p[2],2/3))}; + hexagon.cyclic=true; + triple M=unit(sum(hexagon)/6); + for(int i=0; i < 6; ++i){ + surface sf=sphericaltriangle(O,hexagon[i],M,hexagon[i+1]); + draw(sf,white); + } + } +} diff --git a/Master/texmf-dist/doc/asymptote/examples/spectrum.asy b/Master/texmf-dist/doc/asymptote/examples/spectrum.asy new file mode 100644 index 00000000000..a5d576921cf --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/spectrum.asy @@ -0,0 +1,79 @@ +import graph; +usepackage("ocg"); +settings.tex="pdflatex"; + +// Dan Bruton algorithm +pen nm2rgb(real wl, real gamma=0.8, bool intensity=true) { + triple rgb; + if(wl >= 380 && wl <= 440) {rgb=((440-wl)/60,0,1);} + if(wl > 440 && wl <= 490) {rgb=(0,(wl-440)/50,1);} + if(wl > 490 && wl <= 510) {rgb=(0,1,(510-wl)/20);} + if(wl > 510 && wl <= 580) {rgb=((wl-510)/70,1,0);} + if(wl > 580 && wl <= 645) {rgb=(1,(645-wl)/65,0);} + if(wl > 645 && wl <= 780) {rgb=(1,0,0);} + + real Intensity=1; + if(intensity) { + if(wl >= 700) {Intensity=0.3+0.7*(780-wl)/80;} + else if(wl <= 420) {Intensity=0.3+0.7*(wl-380)/40;} + } + + return rgb((Intensity*rgb.x)**gamma,(Intensity*rgb.y)**gamma, + (Intensity*rgb.z)**gamma); +} + +real width=1; +real height=50; + +begin("spectrum"); +for(real i=380 ; i <= 780 ; i += width) { + draw((i,0)--(i,height),width+nm2rgb(wl=i,false)+squarecap); +} +begin("Extinction",false); // nested +for(real i=380 ; i <= 780 ; i += width) { + draw((i,0)--(i,height),width+nm2rgb(wl=i,true)+squarecap); +} +end(); +end(); + +begin("Wavelength"); +xaxis(scale(0.5)*"$\lambda$(nm)",BottomTop,380,780, + RightTicks(scale(0.5)*rotate(90)*Label(),step=2,Step=10),above=true); +end(); + +// From Astronomical Data Center(NASA) +// Neutral only +real[] Na={423.899, 424.208, 427.364, 427.679, 428.784, 429.101, + 432.14, 432.462, 434.149, 434.474, 439.003, 439.334, 441.989, 442.325, + 449.418, 449.766, 454.163, 454.519, 568.2633, 568.8204, 588.995, + 589.5924}; +begin("Na absorption"); +for(int i=0; i < Na.length; ++i) { + draw((Na[i],0)--(Na[i],height),0.1*width+squarecap); +} +end(); + +begin("Na emission"); +for(int i=0; i < Na.length; ++i) { + draw((Na[i],0)--(Na[i],-height),0.1*width+nm2rgb(Na[i],false)+squarecap); +} +end(); + +// Neutral only +real[] Zn={388.334, 396.543, 411.321, 429.288, 429.833, 462.981, + 468.014, 472.215, 481.053 , 506.866, 506.958, 518.198, 530.865, + 531.024, 531.102, 577.21, 577.55, 577.711, 623.79, 623.917, 636.234, + 647.918, 692.832, 693.847, 694.32, 779.936}; +begin("Zn absorption",false); +for(int i=0; i < Zn.length; ++i) { + draw((Zn[i],0)--(Zn[i],height),width+squarecap); +} +end(); + +begin("Zn emission",false); +for(int i=0; i < Zn.length; ++i) { + draw((Zn[i],0)--(Zn[i],-height),width+nm2rgb(Zn[i],false)+squarecap); +} +end(); + +shipout(bbox(2mm,Fill(white))); diff --git a/Master/texmf-dist/doc/asymptote/examples/sphere.asy b/Master/texmf-dist/doc/asymptote/examples/sphere.asy new file mode 100644 index 00000000000..8d1b5fe50cd --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sphere.asy @@ -0,0 +1,6 @@ +import three; + +size(200); +currentprojection=orthographic(5,4,3); + +draw(unitsphere,green,render(compression=Zero,merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/spheresilhouette.asy b/Master/texmf-dist/doc/asymptote/examples/spheresilhouette.asy new file mode 100644 index 00000000000..795efb00660 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/spheresilhouette.asy @@ -0,0 +1,9 @@ +import solids; +settings.render=0; +settings.prc=false; + +size(200); + +revolution r=sphere(O,1); +draw(r,1,longitudinalpen=nullpen); +draw(r.silhouette()); diff --git a/Master/texmf-dist/doc/asymptote/examples/sphereskeleton.asy b/Master/texmf-dist/doc/asymptote/examples/sphereskeleton.asy new file mode 100644 index 00000000000..ca8b8c3d584 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sphereskeleton.asy @@ -0,0 +1,9 @@ +size(100); +import solids; + +currentprojection=orthographic(5,4,2); + +revolution sphere=sphere(1); +draw(surface(sphere),green+opacity(0.2)); +draw(sphere,m=7,blue); + diff --git a/Master/texmf-dist/doc/asymptote/examples/sphericalharmonic.asy b/Master/texmf-dist/doc/asymptote/examples/sphericalharmonic.asy new file mode 100644 index 00000000000..9fbb16f624d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sphericalharmonic.asy @@ -0,0 +1,14 @@ +import graph3; +import palette; +size(200); + +currentprojection=orthographic(4,2,4); +currentlight=Viewport; + +real r(real theta, real phi) {return 1+0.5*(sin(2*theta)*sin(2*phi))^2;} + +triple f(pair z) {return r(z.x,z.y)*expi(z.x,z.y);} + +surface s=surface(f,(0,0),(pi,2pi),50,Spline); +s.colors(palette(s.map(abs),Gradient(yellow,red))); +draw(s,render(compression=Low,merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/spiral.asy b/Master/texmf-dist/doc/asymptote/examples/spiral.asy new file mode 100644 index 00000000000..a417ea06a7f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/spiral.asy @@ -0,0 +1,12 @@ +size(0,150); +import graph; + +real f(real t) {return exp(-t/(2pi));} + +draw(polargraph(f,0,20*pi,operator ..)); + +xaxis("$x$",-infinity,1.3); +yaxis("$y$",-infinity,1); + +labelx(1); +labelx("$e^{-1}$",1.0/exp(1),SE); diff --git a/Master/texmf-dist/doc/asymptote/examples/spiral3.asy b/Master/texmf-dist/doc/asymptote/examples/spiral3.asy new file mode 100644 index 00000000000..727ca3f6d3a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/spiral3.asy @@ -0,0 +1,20 @@ +import graph3; +import palette; + +size3(10cm); + +currentprojection=orthographic(5,4,2); +viewportmargin=(2cm,0); + +real r(real t) {return 3exp(-0.1*t);} +real x(real t) {return r(t)*cos(t);} +real y(real t) {return r(t)*sin(t);} +real z(real t) {return t;} + +path3 p=graph(x,y,z,0,6*pi,50,operator ..); + +tube T=tube(p,2); +surface s=T.s; +s.colors(palette(s.map(zpart),BWRainbow())); +draw(s,render(merge=true)); +draw(T.center,thin()); diff --git a/Master/texmf-dist/doc/asymptote/examples/spline.asy b/Master/texmf-dist/doc/asymptote/examples/spline.asy new file mode 100644 index 00000000000..9d79ef3a962 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/spline.asy @@ -0,0 +1,25 @@ +import graph; +import interpolate; + +size(15cm,15cm,IgnoreAspect); + +real a=1997, b=2002; +int n=5; +real[] xpt=a+sequence(n+1)*(b-a)/n; +real[] ypt={31,36,26,22,21,24}; +horner h=diffdiv(xpt,ypt); +fhorner L=fhorner(h); + +scale(false,true); + +pen p=linewidth(1); + +draw(graph(L,a,b),dashed+black+p,"Lagrange interpolation"); +draw(graph(xpt,ypt,Hermite(natural)),red+p,"natural spline"); +draw(graph(xpt,ypt,Hermite(monotonic)),blue+p,"monotone spline"); +xaxis("$x$",BottomTop,LeftTicks(Step=1,step=0.25)); +yaxis("$y$",LeftRight,RightTicks(Step=5)); + +dot(pairs(xpt,ypt),4bp+gray(0.3)); + +attach(legend(),point(10S),30S); diff --git a/Master/texmf-dist/doc/asymptote/examples/splitpatch.asy b/Master/texmf-dist/doc/asymptote/examples/splitpatch.asy new file mode 100644 index 00000000000..2e9fae66431 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/splitpatch.asy @@ -0,0 +1,87 @@ +import three; + +size(300); + +// A structure to subdivide two intersecting patches about their intersection. +struct split +{ + surface[] S=sequence(new surface(int i) {return new surface;},1); + surface[] T=sequence(new surface(int i) {return new surface;},1); + + struct tree { + tree[] tree=new tree[2]; + } + // Default subdivision depth. + int n=20; + + // Subdivide p and q to depth n if they overlap. + void write(tree pt, tree qt, triple[][] p, triple[][] q, int depth=n) { + --depth; + triple[][][] Split(triple[][] P)=depth % 2 == 0 ? hsplit : vsplit; + triple[][][] P=Split(p); + triple[][][] Q=Split(q); + + for(int i=0; i < 2; ++i) { + triple[][] Pi=P[i]; + for(int j=0; j < 2; ++j) { + triple[][] Qj=Q[j]; + if(overlap(Pi,Qj)) { + if(!pt.tree.initialized(i)) + pt.tree[i]=new tree; + if(!qt.tree.initialized(j)) + qt.tree[j]=new tree; + if(depth > 0) + write(pt.tree[i],qt.tree[j],Pi,Qj,depth); + } + } + } + } + + // Output the subpatches of p from subdivision. + void read(surface[] S, tree t, triple[][] p, int depth=n) { + --depth; + triple[][][] Split(triple[][] P)=depth % 2 == 0 ? hsplit : vsplit; + triple[][][] P=Split(p); + + for(int i=0; i < 2; ++i) { + if(t.tree.initialized(i)) + read(S,t.tree[i],P[i],depth); + else { + S[0].push(patch(P[i])); + } + } + } + + void operator init(triple[][] p, triple[][] q, int depth=n) { + tree ptrunk,qtrunk; + write(ptrunk,qtrunk,p,q,depth); + read(T,ptrunk,p,depth); + read(S,qtrunk,q,depth); + } +} + +currentprojection=orthographic(0,0,1); + +triple[][] A={ + {(0,0,0),(1,0,0),(1,0,0),(2,0,0)}, + {(0,4/3,0),(2/3,4/3,2),(4/3,4/3,2),(2,4/3,0)}, + {(0,2/3,0),(2/3,2/3,0),(4/3,2/3,0),(2,2/3,0)}, + {(0,2,0),(2/3,2,0),(4/3,2,0),(2,2,0)} +}; + +triple[][] B={ + {(0.5,0,-1),(0.5,1,-1),(0.5,2,-1),(0.5,3,-1)}, + {(0.5,0,0),(0.5,1,0),(0.5,2,0),(0.5,3,0)}, + {(0.5,0,1),(0.5,1,1),(0.5,2,1),(0.5,3,1)}, + {(0.5,0,2),(0.5,1,2),(0.5,2,2),(0.5,3,2)} +}; + +split S=split(B,A); + +defaultrender.merge=true; + +for(int i=0; i < S.S[0].s.length; ++i) + draw(surface(S.S[0].s[i]),Pen(i)); + +for(int i=0; i < S.T[0].s.length; ++i) + draw(surface(S.T[0].s[i]),Pen(i)); diff --git a/Master/texmf-dist/doc/asymptote/examples/spring.asy b/Master/texmf-dist/doc/asymptote/examples/spring.asy new file mode 100644 index 00000000000..cbfb256eee4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/spring.asy @@ -0,0 +1,33 @@ +pair coilpoint(real lambda, real r, real t) +{ + return (2.0*lambda*t+r*cos(t),r*sin(t)); +} + +guide coil(guide g=nullpath, real lambda, real r, real a, real b, int n) +{ + real width=(b-a)/n; + for(int i=0; i <= n; ++i) { + real t=a+width*i; + g=g..coilpoint(lambda,r,t); + } + return g; +} + +void drawspring(real x, string label) { + real r=8; + real t1=-pi; + real t2=10*pi; + real lambda=(t2-t1+x)/(t2-t1); + pair b=coilpoint(lambda,r,t1); + pair c=coilpoint(lambda,r,t2); + pair a=b-20; + pair d=c+20; + + draw(a--b,BeginBar(2*barsize())); + draw(c--d); + draw(coil(lambda,r,t1,t2,100)); + dot(d); + + pair h=20*I; + draw(label,a-h--d-h,red,Arrow,Bars,PenMargin); +} diff --git a/Master/texmf-dist/doc/asymptote/examples/spring0.asy b/Master/texmf-dist/doc/asymptote/examples/spring0.asy new file mode 100644 index 00000000000..fd6cdf82938 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/spring0.asy @@ -0,0 +1,4 @@ +import spring; + +drawspring(0,"$L$"); + diff --git a/Master/texmf-dist/doc/asymptote/examples/spring2.asy b/Master/texmf-dist/doc/asymptote/examples/spring2.asy new file mode 100644 index 00000000000..e3eec5f39f5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/spring2.asy @@ -0,0 +1,4 @@ +import spring; + +drawspring(40.0,"$L+x$"); + diff --git a/Master/texmf-dist/doc/asymptote/examples/sqrtx01.asy b/Master/texmf-dist/doc/asymptote/examples/sqrtx01.asy new file mode 100644 index 00000000000..4d2b0a45dce --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sqrtx01.asy @@ -0,0 +1,25 @@ +import graph3; +import solids; +size(0,150); +currentprojection=perspective(1.5,0,10,Y); +pen color=green+opacity(0.75); + +real f(real x){return sqrt(x);} +pair F(real x){return (x,f(x));} +triple F3(real x){return (x,f(x),0);} + +path p=graph(F,0,1,n=20,operator ..); +path3 p3=path3(p); + +revolution a=revolution(p3,X,0,360); +draw(surface(a),color,render(compression=Low,merge=true)); +draw(p3,blue); + +real x=relpoint(p,0.5).x; + +xaxis3(Label("$x$",1),xmax=1.5,dashed,Arrow3); +yaxis3(Label("$y$",1),Arrow3); +dot(Label("$(1,1)$"),(1,1,0)); +arrow(Label("$y=\sqrt{x}$"),F3(0.7),Y,0.75cm,red); +draw(arc(1.2X,0.4,90,90,175,-40,CW),Arrow3); +draw("$r$",(x,0,0)--F3(x),red,Arrow3,PenMargin3); diff --git a/Master/texmf-dist/doc/asymptote/examples/sqrtx01y1.asy b/Master/texmf-dist/doc/asymptote/examples/sqrtx01y1.asy new file mode 100644 index 00000000000..dcb247f572e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/sqrtx01y1.asy @@ -0,0 +1,25 @@ +import graph3; +import solids; +size(0,150); +currentprojection=perspective(0,1,10,up=Y); +currentlight=White; + +real f(real x) {return sqrt(x);} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} + +path p=graph(F,0,1,n=25,operator ..); +path3 p3=path3(p); + +revolution a=revolution(p3,Y,0,360); +draw(surface(a),green,render(compression=Low,merge=true)); +draw(p3,blue); + +xtick((0,0,0)); +xtick((1,0,0)); + +xaxis3(Label("$x$",1),Arrow3); +yaxis3(Label("$y$",1),ymax=1.5,dashed,Arrow3); +dot(Label("$(1,1)$"),(1,1,0)); +arrow("$y=\sqrt{x}$",F3(0.5),X,0.75cm,red); +draw(arc(1.2Y,0.3,90,0,7.5,140),Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/square.asy b/Master/texmf-dist/doc/asymptote/examples/square.asy new file mode 100644 index 00000000000..6fd9d2314d7 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/square.asy @@ -0,0 +1,2 @@ +size(3cm); +draw((0,0)--(1,0)--(1,1)--(0,1)--cycle); diff --git a/Master/texmf-dist/doc/asymptote/examples/star.asy b/Master/texmf-dist/doc/asymptote/examples/star.asy new file mode 100644 index 00000000000..3a7afb2529b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/star.asy @@ -0,0 +1,13 @@ +size(100); +import math; + +int n=5; +path p; + +int i=0; +do { + p=p--unityroot(n,i); + i=(i+2) % n; +} while(i != 0); + +filldraw(p--cycle,red+evenodd); diff --git a/Master/texmf-dist/doc/asymptote/examples/stereoscopic.asy b/Master/texmf-dist/doc/asymptote/examples/stereoscopic.asy new file mode 100644 index 00000000000..639333ec476 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/stereoscopic.asy @@ -0,0 +1,11 @@ +import three; + +currentprojection=perspective(50*dir(70,15)); + +picture pic; +unitsize(pic,1cm); + +draw(pic,xscale3(10)*unitcube,yellow,blue); + +addStereoViews(pic); + diff --git a/Master/texmf-dist/doc/asymptote/examples/stroke3.asy b/Master/texmf-dist/doc/asymptote/examples/stroke3.asy new file mode 100644 index 00000000000..75824d41dd3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/stroke3.asy @@ -0,0 +1,4 @@ +import three; +size(5cm); + +draw(O--X,red+1cm,currentlight); diff --git a/Master/texmf-dist/doc/asymptote/examples/strokepath.asy b/Master/texmf-dist/doc/asymptote/examples/strokepath.asy new file mode 100644 index 00000000000..c857150ec58 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/strokepath.asy @@ -0,0 +1,17 @@ +path g=scale(100)*unitcircle; +pen p=linewidth(1cm); + +frame f; +// Equivalent to draw(f,g,p): +fill(f,strokepath(g,p),red); +shipout("strokepathframe",f); +shipped=false; + +size(400); + +// Equivalent to draw(g,p): +add(new void(frame f, transform t) { + fill(f,strokepath(t*g,p),red); + }); +currentpicture.addPath(g,p); + diff --git a/Master/texmf-dist/doc/asymptote/examples/strokeshade.asy b/Master/texmf-dist/doc/asymptote/examples/strokeshade.asy new file mode 100644 index 00000000000..f9413091d1c --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/strokeshade.asy @@ -0,0 +1,4 @@ +size(100); +guide g=(0,0)..controls(70,30) and (-40,30)..(30,0); +latticeshade(g,stroke=true,linewidth(10), + new pen[][] {{red,orange,yellow},{green,blue,purple}}); diff --git a/Master/texmf-dist/doc/asymptote/examples/subpictures.asy b/Master/texmf-dist/doc/asymptote/examples/subpictures.asy new file mode 100644 index 00000000000..1ace23f5678 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/subpictures.asy @@ -0,0 +1,20 @@ +picture pic1; +real size=50; +size(pic1,size); +fill(pic1,(0,0)--(50,100)--(100,0)--cycle,red); + +picture pic2; +size(pic2,size); +fill(pic2,unitcircle,green); + +picture pic3; +size(pic3,size); +fill(pic3,unitsquare,blue); + +picture pic; +add(pic,pic1.fit(),(0,0),N); +add(pic,pic2.fit(),(0,0),10S); + +add(pic.fit(),(0,0),N); +add(pic3.fit(),(0,0),10S); + diff --git a/Master/texmf-dist/doc/asymptote/examples/superpath.asy b/Master/texmf-dist/doc/asymptote/examples/superpath.asy new file mode 100644 index 00000000000..ec2787a9ce0 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/superpath.asy @@ -0,0 +1,5 @@ +size(0,100); +path unitcircle=E..N..W..S..cycle; +path g=scale(2)*unitcircle; +filldraw(unitcircle^^g,evenodd+yellow,black); + diff --git a/Master/texmf-dist/doc/asymptote/examples/tanh.asy b/Master/texmf-dist/doc/asymptote/examples/tanh.asy new file mode 100644 index 00000000000..21d4decb1a6 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/tanh.asy @@ -0,0 +1,13 @@ +import graph; +size(100,0); + +real f(real x) {return tanh(x);} +pair F(real x) {return (x,f(x));} + +xaxis("$x$"); +yaxis("$y$"); + +draw(graph(f,-2.5,2.5,operator ..)); + +label("$\tanh x$",F(1.5),1.25*N); + diff --git a/Master/texmf-dist/doc/asymptote/examples/teapot.asy b/Master/texmf-dist/doc/asymptote/examples/teapot.asy new file mode 100644 index 00000000000..401ecec5ab9 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/teapot.asy @@ -0,0 +1,172 @@ +import three; + +size(20cm); + +currentprojection=perspective(250,-250,250); +currentlight=Viewport; + +triple[][][] Q={ + { + {(39.68504,0,68.0315),(37.91339,0,71.75197),(40.74803,0,71.75197),(42.51969,0,68.0315)}, + {(39.68504,-22.22362,68.0315),(37.91339,-21.2315,71.75197),(40.74803,-22.8189,71.75197),(42.51969,-23.81102,68.0315)}, + {(22.22362,-39.68504,68.0315),(21.2315,-37.91339,71.75197),(22.8189,-40.74803,71.75197),(23.81102,-42.51969,68.0315)}, + {(0,-39.68504,68.0315),(0,-37.91339,71.75197),(0,-40.74803,71.75197),(0,-42.51969,68.0315)} + },{ + {(0,-39.68504,68.0315),(0,-37.91339,71.75197),(0,-40.74803,71.75197),(0,-42.51969,68.0315)}, + {(-22.22362,-39.68504,68.0315),(-21.2315,-37.91339,71.75197),(-22.8189,-40.74803,71.75197),(-23.81102,-42.51969,68.0315)}, + {(-39.68504,-22.22362,68.0315),(-37.91339,-21.2315,71.75197),(-40.74803,-22.8189,71.75197),(-42.51969,-23.81102,68.0315)}, + {(-39.68504,0,68.0315),(-37.91339,0,71.75197),(-40.74803,0,71.75197),(-42.51969,0,68.0315)} + },{ + {(-39.68504,0,68.0315),(-37.91339,0,71.75197),(-40.74803,0,71.75197),(-42.51969,0,68.0315)}, + {(-39.68504,22.22362,68.0315),(-37.91339,21.2315,71.75197),(-40.74803,22.8189,71.75197),(-42.51969,23.81102,68.0315)}, + {(-22.22362,39.68504,68.0315),(-21.2315,37.91339,71.75197),(-22.8189,40.74803,71.75197),(-23.81102,42.51969,68.0315)}, + {(0,39.68504,68.0315),(0,37.91339,71.75197),(0,40.74803,71.75197),(0,42.51969,68.0315)} + },{ + {(0,39.68504,68.0315),(0,37.91339,71.75197),(0,40.74803,71.75197),(0,42.51969,68.0315)}, + {(22.22362,39.68504,68.0315),(21.2315,37.91339,71.75197),(22.8189,40.74803,71.75197),(23.81102,42.51969,68.0315)}, + {(39.68504,22.22362,68.0315),(37.91339,21.2315,71.75197),(40.74803,22.8189,71.75197),(42.51969,23.81102,68.0315)}, + {(39.68504,0,68.0315),(37.91339,0,71.75197),(40.74803,0,71.75197),(42.51969,0,68.0315)} + },{ + {(42.51969,0,68.0315),(49.60629,0,53.1496),(56.69291,0,38.26771),(56.69291,0,25.51181)}, + {(42.51969,-23.81102,68.0315),(49.60629,-27.77952,53.1496),(56.69291,-31.74803,38.26771),(56.69291,-31.74803,25.51181)}, + {(23.81102,-42.51969,68.0315),(27.77952,-49.60629,53.1496),(31.74803,-56.69291,38.26771),(31.74803,-56.69291,25.51181)}, + {(0,-42.51969,68.0315),(0,-49.60629,53.1496),(0,-56.69291,38.26771),(0,-56.69291,25.51181)} + },{ + {(0,-42.51969,68.0315),(0,-49.60629,53.1496),(0,-56.69291,38.26771),(0,-56.69291,25.51181)}, + {(-23.81102,-42.51969,68.0315),(-27.77952,-49.60629,53.1496),(-31.74803,-56.69291,38.26771),(-31.74803,-56.69291,25.51181)}, + {(-42.51969,-23.81102,68.0315),(-49.60629,-27.77952,53.1496),(-56.69291,-31.74803,38.26771),(-56.69291,-31.74803,25.51181)}, + {(-42.51969,0,68.0315),(-49.60629,0,53.1496),(-56.69291,0,38.26771),(-56.69291,0,25.51181)} + },{ + {(-42.51969,0,68.0315),(-49.60629,0,53.1496),(-56.69291,0,38.26771),(-56.69291,0,25.51181)}, + {(-42.51969,23.81102,68.0315),(-49.60629,27.77952,53.1496),(-56.69291,31.74803,38.26771),(-56.69291,31.74803,25.51181)}, + {(-23.81102,42.51969,68.0315),(-27.77952,49.60629,53.1496),(-31.74803,56.69291,38.26771),(-31.74803,56.69291,25.51181)}, + {(0,42.51969,68.0315),(0,49.60629,53.1496),(0,56.69291,38.26771),(0,56.69291,25.51181)} + },{ + 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+size(200); + +pen[][] p={{red,green,blue,cyan},{blue,green,magenta,rgb(black)}}; +path G=(0,0){dir(-120)}..(1,0)..(1,1)..(0,1)..cycle; +path[] g={G,subpath(G,2,1)..(2,0)..(2,1)..cycle}; +pair[][] z={{(0.5,0.5),(0.5,0.5),(0.5,0.5),(0.5,0.5)},{(2,0.5),(2,0.5),(1.5,0.5),(2,0.5)}}; +tensorshade(g,p,z); + +dot(g); diff --git a/Master/texmf-dist/doc/asymptote/examples/textpath.asy b/Master/texmf-dist/doc/asymptote/examples/textpath.asy new file mode 100644 index 00000000000..1fc105364be --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/textpath.asy @@ -0,0 +1,10 @@ +size(300); + +fill(texpath(Label("test",TimesRoman())),pink); +fill(texpath(Label("test",fontcommand('.fam T\n.ps 12')),tex=false),red); + +pair z=10S; + +fill(texpath(Label("$ \sqrt{x^2} $",z,TimesRoman())),pink); +fill(texpath(Label("$ sqrt {x sup 2} $",z,fontcommand('.fam T\n.ps 12')), + tex=false),red); diff --git a/Master/texmf-dist/doc/asymptote/examples/thermodynamics.asy b/Master/texmf-dist/doc/asymptote/examples/thermodynamics.asy new file mode 100644 index 00000000000..cfcc3d0e98e --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/thermodynamics.asy @@ -0,0 +1,131 @@ +// example file for roundedpath() in roundedpath.asy +// written by stefan knorr + + +// import needed packages +import roundedpath; + +// function definition +picture CreateKOOS(real Scale, string legend) // draw labeled coordinate system as picture +{ + picture ReturnPic; + real S = 1.2*Scale; + draw(ReturnPic, ((-S,0)--(S,0)), bar = EndArrow); // x axis + draw(ReturnPic, ((0,-S)--(0,S)), bar = EndArrow); // y axis + label(ReturnPic, "$\varepsilon$", (S,0), SW); // x axis label + label(ReturnPic, "$\sigma$", (0,S), SW); // y axis label + label(ReturnPic, legend, (0.7S, -S), NW); // add label 'legend' + return ReturnPic; // return picture +} + + +// some global definitions +real S = 13mm; // universal scale factor for the whole file +real grad = 0.25; // gradient for lines +real radius = 0.04; // radius for the rounded path' +real lw = 2; // linewidth +pair A = (-1, -1); // start point for graphs +pair E = ( 1, 1); // end point for graphs +path graph; // local graph +pen ActPen; // actual pen for each drawing +picture T[]; // vector of all four diagrams +real inc = 2.8; // increment-offset for combining pictures + +//////////////////////////////////////// 1st diagram +T[1] = CreateKOOS(S, "$T_1$"); // initialise T[1] as empty diagram with label $T_1$ +graph = A; // # pointwise definition of current path 'graph' +graph = graph -- (A.x + grad*1.6, A.y + 1.6); // # +graph = graph -- (E.x - grad*0.4, E.y - 0.4); // # +graph = graph -- E; // # + +graph = roundedpath(graph, radius, S); // round edges of 'graph' using roundedpath() in roundedpath.asy +ActPen = rgb(0,0,0.6) + linewidth(lw); // define pen for drawing in 1st diagram +draw(T[1], graph, ActPen); // draw 'graph' with 'ActPen' into 'T[1]' (1st hysteresis branch) +draw(T[1], rotate(180,(0,0))*graph, ActPen); // draw rotated 'graph' (2nd hysteresis branch) + +graph = (0,0) -- (grad*0.6, 0.6) -- ( (grad*0.6, 0.6) + (0.1, 0) ); // define branch from origin to hysteresis +graph = roundedpath(graph, radius, S); // round this path +draw(T[1], graph, ActPen); // draw this path into 'T[1]' + + +//////////////////////////////////////// 2nd diagram +T[2] = CreateKOOS(S, "$T_2$"); // initialise T[2] as empty diagram with label $T_2$ +graph = A; // # pointwise definition of current path 'graph' +graph = graph -- (A.x + grad*1.3, A.y + 1.3); // # +graph = graph -- (E.x - grad*0.7 , E.y - 0.7); // # +graph = graph -- E; // # + +graph = roundedpath(graph, radius, S); // round edges of 'graph' using roundedpath() in roundedpath.asy +ActPen = rgb(0.2,0,0.4) + linewidth(lw); // define pen for drawing in 2nd diagram +draw(T[2], graph, ActPen); // draw 'graph' with 'ActPen' into 'T[2]' (1st hysteresis branch) +draw(T[2], rotate(180,(0,0))*graph, ActPen); // draw rotated 'graph' (2nd hysteresis branch) + +graph = (0,0) -- (grad*0.3, 0.3) -- ( (grad*0.3, 0.3) + (0.1, 0) ); // define branch from origin to hysteresis +graph = roundedpath(graph, radius, S); // round this path +draw(T[2], graph, ActPen); // draw this path into 'T[2]' + + +//////////////////////////////////////// 3rd diagram +T[3] = CreateKOOS(S, "$T_3$"); // initialise T[3] as empty diagram with label $T_3$ +graph = A; // # pointwise definition of current path 'graph' +graph = graph -- (A.x + grad*0.7, A.y + 0.7); // # +graph = graph -- ( - grad*0.3 , - 0.3); // # +graph = graph -- (0,0); // # +graph = graph -- (grad*0.6, 0.6); // # +graph = graph -- (E.x - grad*0.4, E.y - 0.4); // # +graph = graph -- E; // # + +graph = roundedpath(graph, radius, S); // round edges of 'graph' using roundedpath() in roundedpath.asy +ActPen = rgb(0.6,0,0.2) + linewidth(lw); // define pen for drawing in 3rd diagram +draw(T[3], graph, ActPen); // draw 'graph' with 'ActPen' into 'T[3]' (1st hysteresis branch) +draw(T[3], rotate(180,(0,0))*graph, ActPen); // draw rotated 'graph' (2nd hysteresis branch) + + +//////////////////////////////////////// 4th diagram +T[4] = CreateKOOS(S, "$T_4$"); // initialise T[4] as empty diagram with label $T_4$ +graph = A; // # pointwise definition of current path 'graph' +graph = graph -- (A.x + grad*0.4, A.y + 0.4); // # +graph = graph -- ( - grad*0.6 , - 0.6); // # +graph = graph -- (0,0); // # +graph = graph -- (grad*0.9, 0.9); // # +graph = graph -- (E.x - grad*0.1, E.y - 0.1); // # +graph = graph -- E; // # + +graph = roundedpath(graph, radius, S); // round edges of 'graph' using roundedpath() in roundedpath.asy +ActPen = rgb(0.6,0,0) + linewidth(lw); // define pen for drawing in 4th diagram +draw(T[4], graph, ActPen); // draw 'graph' with 'ActPen' into 'T[4]' (1st hysteresis branch) +draw(T[4], rotate(180,(0,0))*graph, ActPen); // draw rotated 'graph' (3nd hysteresis branch) + + +// add some labels and black dots to the first two pictures +pair SWW = (-0.8, -0.6); +label(T[1], "$\sigma_f$", (0, 0.6S), NE); // sigma_f +draw(T[1], (0, 0.6S), linewidth(3) + black); +label(T[2], "$\sigma_f$", (0, 0.3S), NE); // sigma_f +draw(T[2], (0, 0.3S), linewidth(3) + black); +label(T[1], "$\varepsilon_p$", (0.7S, 0), SWW); // epsilon_p +draw(T[1], (0.75S, 0), linewidth(3) + black); +label(T[2], "$\varepsilon_p$", (0.7S, 0), SWW); // epsilon_p +draw(T[2], (0.75S, 0), linewidth(3) + black); + + +// add all pictures T[1...4] to the current one +add(T[1],(0,0)); +add(T[2],(1*inc*S,0)); +add(T[3],(2*inc*S,0)); +add(T[4],(3*inc*S,0)); + + +// draw line of constant \sigma and all intersection points with the graphs in T[1...4] +ActPen = linewidth(1) + dashed + gray(0.5); // pen definition +draw((-S, 0.45*S)--((3*inc+1)*S, 0.45*S), ActPen); // draw backgoundline +label("$\sigma_s$", (-S, 0.45S), W); // label 'sigma_s' + +path mark = scale(2)*unitcircle; // define mark-symbol to be used for intersections +ActPen = linewidth(1) + gray(0.5); // define pen for intersection mark +draw(shift(( 1 - grad*0.55 + 0*inc)*S, 0.45*S)*mark, ActPen); // # draw all intersections +draw(shift((-1 + grad*1.45 + 0*inc)*S, 0.45*S)*mark, ActPen); // # +draw(shift(( 1 - grad*0.55 + 1*inc)*S, 0.45*S)*mark, ActPen); // # +draw(shift(( 1 - grad*0.55 + 2*inc)*S, 0.45*S)*mark, ActPen); // # +draw(shift(( grad*0.45 + 2*inc)*S, 0.45*S)*mark, ActPen); // # +draw(shift(( grad*0.45 + 3*inc)*S, 0.45*S)*mark, ActPen); // # diff --git a/Master/texmf-dist/doc/asymptote/examples/threeviews.asy b/Master/texmf-dist/doc/asymptote/examples/threeviews.asy new file mode 100644 index 00000000000..1bcc36ae8d7 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/threeviews.asy @@ -0,0 +1,26 @@ +import three; + +picture pic; +unitsize(pic,5cm); + +currentlight.viewport=false; +settings.render=4; +settings.toolbar=false; +viewportmargin=(1cm,1cm); + +draw(pic,scale3(0.5)*unitsphere,green,render(compression=Low,merge=true)); +draw(pic,Label("$x$",1),O--X); +draw(pic,Label("$y$",1),O--Y); +draw(pic,Label("$z$",1),O--Z); + +// Europe and Asia: +//addViews(pic,ThreeViewsFR); +//addViews(pic,SixViewsFR); + +// United Kingdom, United States, Canada, and Australia: +addViews(pic,ThreeViewsUS); +//addViews(pic,SixViewsUS); + +// Front, Top, Right, +// Back, Bottom, Left: +//addViews(pic,SixViews); diff --git a/Master/texmf-dist/doc/asymptote/examples/tile.asy b/Master/texmf-dist/doc/asymptote/examples/tile.asy new file mode 100644 index 00000000000..fe9cbc523c7 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/tile.asy @@ -0,0 +1,13 @@ +size(0,90); +import patterns; + +add("tile",tile()); +add("filledtilewithmargin",tile(6mm,4mm,red,Fill),(1mm,1mm),(1mm,1mm)); +add("checker",checker()); +add("brick",brick()); + +real s=2.5; +filldraw(unitcircle,pattern("tile")); +filldraw(shift(s,0)*unitcircle,pattern("filledtilewithmargin")); +filldraw(shift(2s,0)*unitcircle,pattern("checker")); +filldraw(shift(3s,0)*unitcircle,pattern("brick")); diff --git a/Master/texmf-dist/doc/asymptote/examples/torus.asy b/Master/texmf-dist/doc/asymptote/examples/torus.asy new file mode 100644 index 00000000000..d0b8673d737 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/torus.asy @@ -0,0 +1,20 @@ +size(200); +import graph3; + +currentprojection=perspective(5,4,4); + +real R=3; +real a=1; + +/* +import solids; +revolution torus=revolution(reverse(Circle(R*X,a,Y,32)),Z,90,345); +surface s=surface(torus); +*/ + +triple f(pair t) { + return ((R+a*cos(t.y))*cos(t.x),(R+a*cos(t.y))*sin(t.x),a*sin(t.y)); +} + +surface s=surface(f,(radians(90),0),(radians(345),2pi),8,8,Spline); +draw(s,green,render(compression=Low,merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/transparency.asy b/Master/texmf-dist/doc/asymptote/examples/transparency.asy new file mode 100644 index 00000000000..36e741d294d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/transparency.asy @@ -0,0 +1,10 @@ +size(0,150); + +if(settings.outformat == "") + settings.outformat="pdf"; + +begingroup(); +fill(shift(1.5dir(120))*unitcircle,green+opacity(0.75)); +fill(shift(1.5dir(60))*unitcircle,red+opacity(0.75)); +fill(unitcircle,blue+opacity(0.75)); +endgroup(); diff --git a/Master/texmf-dist/doc/asymptote/examples/treetest.asy b/Master/texmf-dist/doc/asymptote/examples/treetest.asy new file mode 100644 index 00000000000..dbdf973c508 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/treetest.asy @@ -0,0 +1,22 @@ +import drawtree; + +treeLevelStep = 2cm; + +TreeNode root = makeNode( "Root" ); +TreeNode child1 = makeNode( root, "Child\_1" ); +TreeNode child2 = makeNode( root, "Child\_2" ); + +TreeNode gchild1 = makeNode( child1, "Grandchild\_1" ); +TreeNode gchild2 = makeNode( child1, "Grandchild\_2" ); + +TreeNode gchild3 = makeNode( child1, "Grandchild\_3" ); +TreeNode gchild4 = makeNode( child1, "Grandchild\_4" ); + + +TreeNode gchild11 = makeNode( child2, "Grandchild\_1" ); +TreeNode gchild22 = makeNode( child2, "Grandchild\_2" ); + +TreeNode ggchild1 = makeNode( gchild1, "Great Grandchild\_1" ); + +draw( root, (0,0) ); + diff --git a/Master/texmf-dist/doc/asymptote/examples/trefoilknot.asy b/Master/texmf-dist/doc/asymptote/examples/trefoilknot.asy new file mode 100644 index 00000000000..8ea5b264b48 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/trefoilknot.asy @@ -0,0 +1,23 @@ +import tube; +import graph3; +import palette; +currentlight=White; + +size(0,8cm); +currentprojection=perspective(1,1,1,up=-Y); + +int e=1; +real x(real t) {return cos(t)+2*cos(2t);} +real y(real t) {return sin(t)-2*sin(2t);} +real z(real t) {return 2*e*sin(3t);} + +path3 p=scale3(2)*graph(x,y,z,0,2pi,50,operator ..)&cycle; + +pen[] pens=Gradient(6,red,blue,purple); +pens.push(yellow); +for (int i=pens.length-2; i >= 0 ; --i) + pens.push(pens[i]); + +path sec=scale(0.25)*texpath("$\pi$")[0]; +coloredpath colorsec=coloredpath(sec, pens,colortype=coloredNodes); +draw(tube(p,colorsec),render(merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/triads.asy b/Master/texmf-dist/doc/asymptote/examples/triads.asy new file mode 100644 index 00000000000..73088197e25 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/triads.asy @@ -0,0 +1,52 @@ +import graph; + +path p=(10,75)..(15,85)..(20,90)..(35,85)..(40,79)--(78,30)..(85,15)..(87,5); + +pair l=point(p,3.5); +pair m=point(p,4.5); +pair s=point(p,4.9); + +pen c=linewidth(1.5); +pair o=(m.x,0.5(m.x+l.y)); + +pen d=c+darkgreen; + +void drawarrow(string s="", pair p, pair q, side side=RightSide, + bool upscale=false, pen c) +{ + path g=p{dir(-5)}..{dir(-85)}q; + if(upscale) g=reverse(g); + draw(s,g,side,c,Arrow(Fill,0.65)); +} + +void spectrum(pair l,pair m, pair s) { + draw(p,c); + + d += 4.0; + dot("$p$",l,SW,d); + dot("$q$",m,SW,d); + dot("$k$",s,SW,d); + + xaxis("$k$",0); + yaxis("$E(k)$",0); +} + +drawarrow("$T_p$",l,m,true,blue); +drawarrow("$T_k$",m,s,LeftSide,red); +spectrum(l,m,s); +shipout("triadpqk"); + +erase(); + +drawarrow("$-T_p$",l,m,LeftSide,red); +drawarrow("$-T_q$",m,s,true,blue); +spectrum(l,s,m); +shipout("triadpkq"); + +erase(); + +drawarrow("$T_k$",l,m,true,blue); +drawarrow("$T_q$",m,s,LeftSide,red); +spectrum(m,s,l); + +shipout("triadkpq"); diff --git a/Master/texmf-dist/doc/asymptote/examples/triangle.asy b/Master/texmf-dist/doc/asymptote/examples/triangle.asy new file mode 100644 index 00000000000..60388a78515 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/triangle.asy @@ -0,0 +1,12 @@ +size(0,100); +import geometry; + +triangle t=triangle(b=3,alpha=90,c=4); + +dot((0,0)); + +draw(t); +draw(rotate(90)*t,red); +draw(shift((-4,0))*t,blue); +draw(reflect((0,0),(1,0))*t,green); +draw(slant(2)*t,magenta); diff --git a/Master/texmf-dist/doc/asymptote/examples/triangulate.asy b/Master/texmf-dist/doc/asymptote/examples/triangulate.asy new file mode 100644 index 00000000000..56ad347b53d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/triangulate.asy @@ -0,0 +1,19 @@ +size(200); +int np=100; +pair[] points; + +real r() {return 1.2*(rand()/randMax*2-1);} + +for(int i=0; i < np; ++i) + points.push((r(),r())); + +int[][] trn=triangulate(points); + +for(int i=0; i < trn.length; ++i) { + draw(points[trn[i][0]]--points[trn[i][1]]); + draw(points[trn[i][1]]--points[trn[i][2]]); + draw(points[trn[i][2]]--points[trn[i][0]]); +} + +for(int i=0; i < np; ++i) + dot(points[i],red); diff --git a/Master/texmf-dist/doc/asymptote/examples/triceratops.asy b/Master/texmf-dist/doc/asymptote/examples/triceratops.asy new file mode 100644 index 00000000000..a9e6e93cd52 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/triceratops.asy @@ -0,0 +1,9 @@ +import obj; + +size(15cm); +currentprojection=orthographic(0,2,5,up=Y); + +// A compressed version of the required data file may be obtained from: +// http://www.cs.technion.ac.il/~irit/data/Viewpoint/triceratops.obj.gz + +draw(obj("triceratops.obj",brown)); diff --git a/Master/texmf-dist/doc/asymptote/examples/trumpet.asy b/Master/texmf-dist/doc/asymptote/examples/trumpet.asy new file mode 100644 index 00000000000..842af2b23c2 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/trumpet.asy @@ -0,0 +1,12 @@ +import graph3; +size(200,0); + +currentlight=Viewport; + +triple f(pair t) { + real u=log(abs(tan(t.y/2))); + return (10*sin(t.y),cos(t.x)*(cos(t.y)+u),sin(t.x)*(cos(t.y)+u)); +} + +surface s=surface(f,(0,pi/2),(2pi,pi-0.1),7,15,Spline); +draw(s,olive+0.25*white,render(compression=Low,merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/truncatedIcosahedron.asy b/Master/texmf-dist/doc/asymptote/examples/truncatedIcosahedron.asy new file mode 100644 index 00000000000..e4d07a49e5b --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/truncatedIcosahedron.asy @@ -0,0 +1,68 @@ +import graph3; + +size(200); + +defaultrender.merge=true; + +real c=(1+sqrt(5))/2; + +triple[] z={(c,1,0),(-c,1,0),(-c,-1,0),(c,-1,0)}; +triple[] x={(0,c,1),(0,-c,1),(0,-c,-1),(0,c,-1)}; +triple[] y={(1,0,c),(1,0,-c),(-1,0,-c),(-1,0,c)}; + +triple[][] Q={ + {(c,1,0),(1,0,-c),(0,c,-1),(0,c,1),(1,0,c),(c,-1,0)}, + {(-c,1,0),(0,c,1),(0,c,-1),(-1,0,-c),(-c,-1,0),(-1,0,c)}, + {(-c,-1,0),(-c,1,0),(-1,0,-c),(0,-c,-1),(0,-c,1),(-1,0,c)}, + {(c,-1,0),(c,1,0),(1,0,c),(0,-c,1),(0,-c,-1),(1,0,-c)}, + {(0,c,1),(0,c,-1),(-c,1,0),(-1,0,c),(1,0,c),(c,1,0)}, + {(0,-c,1),(0,-c,-1),(-c,-1,0),(-1,0,c),(1,0,c),(c,-1,0)}, + {(0,-c,-1),(0,-c,1),(c,-1,0),(1,0,-c),(-1,0,-c),(-c,-1,0)}, + {(0,c,-1),(0,c,1),(c,1,0),(1,0,-c),(-1,0,-c),(-c,1,0)}, + {(1,0,c),(-1,0,c),(0,-c,1),(c,-1,0),(c,1,0),(0,c,1)}, + {(1,0,-c),(-1,0,-c),(0,-c,-1),(c,-1,0),(c,1,0),(0,c,-1)}, + {(-1,0,-c),(1,0,-c),(0,c,-1),(-c,1,0),(-c,-1,0),(0,-c,-1)}, + {(-1,0,c),(1,0,c),(0,c,1),(-c,1,0),(-c,-1,0),(0,-c,1)} +}; + +real R=abs(interp(Q[0][0],Q[0][1],1/3)); + +triple[][] P; +for(int i=0; i < Q.length; ++i) { + P[i]=new triple[] ; + for(int j=0; j < Q[i].length; ++j) { + P[i][j]=Q[i][j]/R; + } +} + +for(int i=0; i < P.length; ++i) { + for(int j=1; j < P[i].length; ++j) { + triple C=P[i][0]; + triple A=P[i][j]; + triple B=P[i][j % 5+1]; + triple[] sixout=new + triple[] {interp(C,A,1/3),interp(C,A,2/3),interp(A,B,1/3),interp(A,B,2/3), + interp(B,C,1/3),interp(B,C,2/3)}; + triple M=(sum(sixout))/6; + triple[] sixin=sequence(new triple(int k) { + return interp(sixout[k],M,0.1); + },6); + draw(surface(reverse(operator--(...sixout)--cycle)^^ + operator--(...sixin)--cycle,planar=true),magenta); + } +} + +for(int i=0; i < P.length; ++i) { + triple[] fiveout=sequence(new triple(int k) { + return interp(P[i][0],P[i][k+1],1/3); + },5); + triple M=(sum(fiveout))/5; + triple[] fivein=sequence(new triple(int k) { + return interp(fiveout[k],M,0.1); + },5); + draw(surface(reverse(operator--(...fiveout)--cycle)^^ + operator--(...fivein)--cycle,planar=true),cyan); +} + + + diff --git a/Master/texmf-dist/doc/asymptote/examples/tvgen.asy b/Master/texmf-dist/doc/asymptote/examples/tvgen.asy new file mode 100644 index 00000000000..ade90e89211 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/tvgen.asy @@ -0,0 +1,1314 @@ +/* tvgen - draw pm5544-like television test cards. + * Copyright (C) 2007, 2009, Servaas Vandenberghe. + * + * The tvgen code below is free software: you can redistribute it and/or + * modify it under the terms of the GNU Lesser General Public License as + * published by the Free Software Foundation, either version 3 of the + * License, or (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU Lesser General Public License for more details. + * + * You should have received a copy of the GNU Lesser General Public + * License along with tvgen: see the file COPYING. If not, write to the + * Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, + * Boston, MA 02110-1301, USA. + * + * tvgen-1.1/tvgen.asy + * This asy script generates pm5544-like television test cards. The image + * parameters were derived from a 1990 recording. The basic parameters + * conform to itu-r bt.470, bt.601, and bt.709. There is no unique image + * since local variants exist and parameters have varied over time. + */ +//papertype="a4"; +import plain; +int verbose=settings.verbose/*+2*/; /* uncomment for debug info */ + +/* tv dot coordinates --> PS points */ +pair tvps(real col, real row, real xd, real yd, int Nv) { + real psx, psy; + psx=col*xd; psy=(Nv-row)*yd; + return (psx,psy); +} +path tvrect(int lc, int tr, int rc, int br, real xd, real yd, int Nv) { + real lx, ty, rx, by; + pair[] z; + + lx=lc*xd; ty=(Nv-tr)*yd; + rx=rc*xd; by=(Nv-br)*yd; + /* bl br tr tl */ + z[0]=(lx, by); + z[1]=(rx, by); + z[2]=(rx, ty); + z[3]=(lx, ty); + + return z[0]--z[1]--z[2]--z[3]--cycle; +} + +/********************* image aspect ratio markers ********************/ +void rimarkers(real rimage, int Nh, int Nhc, int os, int Nvc, int Nsy, pen pdef, real xd, real yd, int Nv) { + int[] ridefN={ 4, 16 }; + int[] ridefD={ 3, 9 }; + int i; + + for(i=0; i<2; ++i) { + real rid=ridefN[i]/ridefD[i]; + + if(rimage>rid) { + int off, offa, offb; + + /* Nhdef=Nh/rimage*rid */ + off=round(Nh/rimage*rid/2); + offa=off+os; + offb=off-os; + // write(offa,offb); + + if(2*offa<Nh) { + int hy, tr, br; + path zz; + + hy=floor(Nsy/3); + tr=Nvc-hy; + br=Nvc+hy; + + zz=tvrect(Nhc+offb, tr, Nhc+offa, br, xd,yd,Nv); + //dot(zz); + fill(zz, p=pdef); + zz=tvrect(Nhc-offa, tr, Nhc-offb, br, xd,yd,Nv); + fill(zz, p=pdef); + } + } + } /* for i */ + return; +} + +/************* cross hatch: line pairing, center interlace test *************/ +void centerline(int[] coff, int[] coffa, int[] coffb, int Nhc, int divsx, + int os, int[] rcrowc, int Nvc, int divsy, + pair ccenter, real[] rcoff, pair[] rcright, pair[] rcleft, + pen pdef, real xd, real yd, int Nv) { + pair[] z; + int col; + pen pblack=pdef+gray(0.0), pwhite=pdef+gray(1.0); + + z[0]=rcright[divsy]; + + col=Nhc+coff[0]; + z[1]=tvps(col,rcrowc[divsy], xd,yd,Nv); + z[2]=tvps(col,rcrowc[divsy-1], xd,yd,Nv); + col=Nhc-coff[0]; + z[3]=tvps(col,rcrowc[divsy-1], xd,yd,Nv); + z[4]=tvps(col,rcrowc[divsy], xd,yd,Nv); + + z[5]=rcleft[divsy]; + z[6]=rcleft[divsy+1]; + + z[7]=tvps(col,rcrowc[divsy+1], xd,yd,Nv); + z[8]=tvps(col,rcrowc[divsy+2], xd,yd,Nv); + col=Nhc+coff[0]; + z[9]=tvps(col,rcrowc[divsy+2], xd,yd,Nv); + z[10]=tvps(col,rcrowc[divsy+1], xd,yd,Nv); + + z[11]=rcright[divsy+1]; + fill(z[1]--z[2]--z[3]--z[4] //--z[5]--z[6] + --arc(ccenter, z[5], z[6]) + --z[7]--z[8]--z[9]--z[10] //--z[11]--z[0] + --arc(ccenter,z[11], z[0]) + --cycle, p=pblack); + + int i, maxoff, rows, tr, br; + path zz; + + maxoff=floor(rcoff[divsy]); + + /* center cross: vertical and horizontal centerline */ + rows=min(Nvc-rcrowc[divsy-1], rcrowc[divsy+2]-Nvc); + tr=Nvc-rows; + br=Nvc+rows; + //write("centerline long: rows tr br ", rows, tr, br); + zz=tvrect(Nhc-os, tr, Nhc+os, br, xd,yd,Nv); + fill(zz, p=pwhite); + zz=tvrect(Nhc-maxoff,Nvc-1, Nhc+maxoff,Nvc+1, xd,yd,Nv); + fill(zz, p=pwhite); + + /* vertical short lines */ + rows=min(Nvc-rcrowc[divsy], rcrowc[divsy+1]-Nvc); + tr=Nvc-rows; + br=Nvc+rows; + if(verbose>1) + write("centerline: rows tr br ", rows, tr, br); + for(i=0; i<=divsx; ++i) { + int off; + + off=coff[i]; + if(off<maxoff) { + int offa, offb; + path zzv; + offa=coffa[i]; + offb=coffb[i]; + + zzv=tvrect(Nhc+offb, tr, Nhc+offa, br, xd,yd,Nv); + fill(zzv, p=pwhite); + zzv=tvrect(Nhc-offa, tr, Nhc-offb, br, xd,yd,Nv); + fill(zzv, p=pwhite); + } + } + return; +} + +/************************ topbw **************************************/ +void topbw(int[] coff, int Nhc, int os, int urow, int trow, int brow, + pair ccenter, pair rclt, pair rclb, pair rcrt, pair rcrb, + pen pdef, real xd, real yd, int Nv) { + pen pblack=pdef+gray(0.0), pwhite=pdef+gray(1.0); + pair[] ze; + path zext, zref, zint; + int off, col, cr; + + off=ceil((coff[2]+coff[3])/2); + ze[0]=tvps(Nhc+off,trow, xd,yd,Nv); + ze[1]=rcrt; + ze[2]=rclt; + ze[3]=tvps(Nhc-off,trow, xd,yd,Nv); + ze[4]=tvps(Nhc-off,brow, xd,yd,Nv); + col=Nhc-coff[2]-os; + ze[5]=tvps(col,brow, xd,yd,Nv); + ze[6]=tvps(col,trow, xd,yd,Nv); + cr=col+3*os; /* reflection test black pulse */ + zref=tvrect(col,trow, cr,brow, xd,yd,Nv); + ze[7]=tvps(cr,trow, xd,yd,Nv); + ze[8]=tvps(cr,brow, xd,yd,Nv); + ze[9]=tvps(Nhc+off,brow, xd,yd,Nv); + //dot(ze); + + zext=ze[0] // --ze[1]--ze[2] + --arc(ccenter, ze[1], ze[2]) + --ze[3]--ze[4]--ze[5]--ze[6]--ze[7]--ze[8]--ze[9]--cycle; + + off=ceil((coff[1]+coff[2])/2); + zint=tvrect(Nhc-off,urow, Nhc+off,trow, xd,yd,Nv); + + /* paths are completely resolved; no free endpoint conditions */ + fill(zext^^reverse(zint), p=pwhite); + fill(zint, p=pblack); + fill(zref, p=pblack); + + fill(arc(ccenter,rclt,rclb)--ze[4]--ze[3]--cycle, p=pblack); + fill(arc(ccenter,rcrb,rcrt)--ze[0]--ze[9]--cycle, p=pblack); + return; +} + +/************************ testtone **************************************/ +/* x on circle -> return y>=0 + * in: + * x x-coordinate relative to origin + * crad circle radius in y units, true size=crad*yd + */ +real testcircx(real x, real crad, real xd, real yd) { + real relx, phi, y; + + relx=x*xd/yd/crad; + if(relx>1) { + phi=0; + } else { + phi=acos(relx); + } + y=crad*sin(phi); // or (x*xd)^2+(y*yd)^2=(crad*yd)^2 + + return y; +} +/* y on circle -> return x>=0 */ +real testcircy(real y, real crad, real xd, real yd) { + real rely, phi, x; + + rely=y/crad; + if(rely>1) { + phi=pi/2; + } else { + phi=asin(rely); + } + x=crad*cos(phi)*yd/xd; // or (x*xd)^2+(y*yd)^2=(crad*yd)^2 + + return x; +} + +/* brow>trow && xb>xt */ +void testtone(real Tt, int trow, int brow, + real ccol, real crow, real crad, + pen pdef, real xd, real yd, int Nv) { + int blocks, i; + real yt, xt, yb, xb, Ttt=Tt/2; + pair ccenter; + + yt=crow-trow; + xt=testcircy(yt, crad, xd, yd); + yb=crow-brow; + xb=testcircy(yb, crad, xd, yd); + //write('#xt yt\t',xt,yt); write('#xb yb\t',xb,yb); + + ccenter=tvps(ccol,crow, xd,yd,Nv); + + blocks=floor(2*xb/Tt); + + for(i=-blocks-1; i<=blocks; ++i) { + real tl, tr; + path zz; + + tl=max(-xb,min(i*Ttt,xb)); /* limit [-xb..xb] */ + tr=max(-xb,min((i+1)*Ttt,xb)); + + if(tl<-xt && tr<=-xt || tr>xt && tl>=xt) { /* top full circle */ + pair[] z; + real yl, yr; + + yl=testcircx(tl, crad, xd, yd); + yr=testcircx(tr, crad, xd, yd); + + z[0]=tvps(ccol+tl,brow, xd,yd,Nv); + z[1]=tvps(ccol+tr,brow, xd,yd,Nv); + z[2]=tvps(ccol+tr,crow-yr, xd,yd,Nv); + z[3]=tvps(ccol+tl,crow-yl, xd,yd,Nv); + + zz=z[0]--z[1]--arc(ccenter,z[2],z[3])--cycle; + } else if(tl<-xt) { /* tl in circel, tr not, partial */ + pair[] z; + real yl; + + yl=testcircx(tl, crad, xd, yd); + + z[0]=tvps(ccol+tl,brow, xd,yd,Nv); + z[1]=tvps(ccol+tr,brow, xd,yd,Nv); + z[2]=tvps(ccol+tr,trow, xd,yd,Nv); + z[3]=tvps(ccol-xt,trow, xd,yd,Nv); + z[4]=tvps(ccol+tl,crow-yl, xd,yd,Nv); + + zz=z[0]--z[1]--z[2]--arc(ccenter,z[3],z[4])--cycle; + } else if(tr>xt) { /* tr in circle, tl not, partial */ + pair[] z; + real yr; + + yr=testcircx(tr, crad, xd, yd); + + z[0]=tvps(ccol+tl,brow, xd,yd,Nv); + z[1]=tvps(ccol+tr,brow, xd,yd,Nv); + z[2]=tvps(ccol+tr,crow-yr, xd,yd,Nv); + z[3]=tvps(ccol+xt,trow, xd,yd,Nv); + z[4]=tvps(ccol+tl,trow, xd,yd,Nv); + zz=z[0]--z[1]--arc(ccenter,z[2],z[3])--z[4]--cycle; + } else { /* full block */ + pair[] z; + + z[0]=tvps(ccol+tr,trow, xd,yd,Nv); + z[1]=tvps(ccol+tl,trow, xd,yd,Nv); + z[2]=tvps(ccol+tl,brow, xd,yd,Nv); + z[3]=tvps(ccol+tr,brow, xd,yd,Nv); + zz=z[0]--z[1]--z[2]--z[3]--cycle; + } + + if(tl<tr) { + if(i%2 == 0) { + fill(zz, p=pdef+gray(0.0)); + } else { + fill(zz, p=pdef+gray(0.75)); + } + } + } + return; +} + +/************************ color bars *************************************/ +void colorbars(int[] coff, int Nhc, int trow, int crow, int brow, + pair ccenter, pair rclt, pair rclb, pair rcrt, pair rcrb, + pen pdef, real xd, real yd, int Nv) { + real cI=0.75; + real[] cR={ cI, 0, 0, cI, cI, 0 }; + real[] cG={ cI, cI, cI, 0, 0, 0 }; + real[] cB={ 0, cI, 0, cI, 0, cI }; + int cmax=2, poff, rows, i; + + rows=brow-trow; + poff=0; + for(i=0; i<=cmax; ++i) { + int off; + int ii=2*i, il=cmax-i, ir=i+cmax+1; + path zzl, zzr; + + off=ceil((coff[1+ii]+coff[2+ii])/2); + if(i!=0 && i<cmax) { + zzr=tvrect(Nhc+poff,trow, Nhc+off,brow, xd,yd,Nv); + zzl=tvrect(Nhc-off,trow, Nhc-poff,brow, xd,yd,Nv); + } else { + if(i==0) { + int col, pcol; + pair[] zl, zr; + + col=Nhc+off; + pcol=Nhc+poff; + zr[0]=tvps(col,trow, xd,yd,Nv); + zr[1]=tvps(pcol,trow, xd,yd,Nv); + zr[2]=tvps(pcol,crow, xd,yd,Nv); + zr[3]=tvps(Nhc+coff[0],crow, xd,yd,Nv); + zr[4]=tvps(Nhc+coff[0],brow, xd,yd,Nv); + zr[5]=tvps(col,brow, xd,yd,Nv); + zzr=zr[0]--zr[1]--zr[2]--zr[3]--zr[4]--zr[5]--cycle; + + col=Nhc-off; + pcol=Nhc-poff; + zl[0]=tvps(pcol,trow, xd,yd,Nv); + zl[1]=tvps(col,trow, xd,yd,Nv); + zl[2]=tvps(col,brow, xd,yd,Nv); + zl[3]=tvps(Nhc-coff[0],brow, xd,yd,Nv); + zl[4]=tvps(Nhc-coff[0],crow, xd,yd,Nv); + zl[5]=tvps(pcol,crow, xd,yd,Nv); + zzl=zl[0]--zl[1]--zl[2]--zl[3]--zl[4]--zl[5]--cycle; + } else { + int pcol; + pair[] zl, zr; + + pcol=Nhc+poff; + zr[0]=tvps(pcol,brow, xd,yd,Nv); + zr[1]=rcrb; + zr[2]=rcrt; + zr[3]=tvps(pcol,trow, xd,yd,Nv); + zzr=zr[0]--arc(ccenter,zr[1],zr[2])--zr[3]--cycle; + + pcol=Nhc-poff; + zl[0]=tvps(pcol,trow, xd,yd,Nv); + zl[1]=rclt; + zl[2]=rclb; + zl[3]=tvps(pcol,brow, xd,yd,Nv); + zzl=zl[0]--arc(ccenter,zl[1],zl[2])--zl[3]--cycle; + } + } + fill(zzr, p=pdef+rgb(cR[ir], cG[ir], cB[ir])); + fill(zzl, p=pdef+rgb(cR[il], cG[il], cB[il])); + + poff=off; + } + return; +} + +/************************ test frequencies ****************************/ +/* in + * theta rad + * freq 1/hdot + * step hdot + * out + * new phase theta + */ +real addphase(real theta, real freq, real step) { + real cycles, thetaret; + int coverflow; + + cycles=freq*step; + coverflow=floor(abs(cycles)); + if(coverflow>1) { + thetaret=0; + } else { + real dpi=2*pi; + + cycles-=coverflow*sgn(cycles); + thetaret=theta+cycles*dpi; /* cycles=(-1 .. 1) */ + + if(thetaret>pi) { + thetaret-=dpi; + } else if(thetaret<-pi) { + thetaret-=dpi; + } + } + + //write("addphase: ", step, theta, thetaret); + return thetaret; +} + +void testfreqs(real[] ftones, int[] coff, int Nhc, int trow,int crow,int brow, + pair ccenter, pair rclt, pair rclb, pair rcrt, pair rcrb, + pen pdef, real xd, real yd, int Nv) { + int[] divc; + real[] divfl, divfr; + int i, divs, coffmax, off, divnext; + real fl, fr, thr, thl; + + /* Segment info for PAL continental test card + * segment i extends from [divc[i] .. divc[i+1]) with frequency divf[i] + */ + divs=2; // the number of segments on the right, total=2*divs+1 + divc[0]=0; + for(i=0; i<=divs; ++i) { + int ii=i*2, il=divs-i, ir=divs+i; + + divc[i+1]=ceil((coff[ii]+coff[ii+1])/2); /* xdot distance to center */ + + divfl[i]=ftones[divs-i]; + divfr[i]=ftones[divs+i]; + } + coffmax=divc[divs+1]; + + int trowlim=coff[0]; + int tr; + + tr=crow; + + divnext=0; + fl=0; + fr=0; + thl=0; + thr=0; + // draw a vertical line at off..off+1 + for(off=0; off<coffmax; ++off) { + real ampl, ampr; + int col; + path zz; + + if(off==trowlim) { + tr=trow; + } + + if(off == divc[divnext]) { + /* switch frequency: cycles=0.5*fcur+0.5*fnext */ + thl=addphase(thl, fl, -0.5); + thr=addphase(thr, fr, 0.5); + fl=divfl[divnext]; + fr=divfr[divnext]; + thl=addphase(thl, fl, -0.5); + thr=addphase(thr, fr, 0.5); + + ++divnext; + // thl=pi; thr=pi; + //write(off, fl, fr); + } else { + thl=addphase(thl, fl, -1); + thr=addphase(thr, fr, 1); + // thl=0; thr=0; + } + + ampl=(1+sin(thl))/2; + ampr=(1+sin(thr))/2; + //write(off, thr, ampr); + + col=Nhc-off-1; + zz=tvrect(col,tr, col+1,brow, xd,yd,Nv); + fill(zz, p=pdef+gray(ampl)); + col=Nhc+off; + zz=tvrect(col,tr, col+1,brow, xd,yd,Nv); + fill(zz, p=pdef+gray(ampr)); + } + + pair[] z; + z[0]=tvps(Nhc-coffmax,trow, xd,yd,Nv); + z[1]=tvps(Nhc-coffmax,brow, xd,yd,Nv); + fill(z[0]--arc(ccenter,rclt,rclb)--z[1]--cycle, p=pdef+gray(0.0)); + z[0]=tvps(Nhc+coffmax,brow, xd,yd,Nv); + z[1]=tvps(Nhc+coffmax,trow, xd,yd,Nv); + fill(z[0]--arc(ccenter,rcrb,rcrt)--z[1]--cycle, p=pdef+gray(0.0)); + return; +} + +/************************ gray bars **************************************/ +void graybars(int[] coff, int Nhc, int trow, int brow, + pair ccenter, pair rclt, pair rclb, pair rcrt, pair rcrb, + pen pdef, real xd, real yd, int Nv) { + int[] gs={0, 51, 102, 153, 204, 255}; + int cmax=2, poff, rows, i; + + rows=brow-trow; + poff=0; + for(i=0; i<=cmax; ++i) { + int off; + int ii=2*i, il=cmax-i, ir=i+cmax+1; + path zzl, zzr; + + off=ceil((coff[1+ii]+coff[2+ii])/2); + if(i<cmax) { + zzl=tvrect(Nhc-off,trow, Nhc-poff,brow, xd,yd,Nv); + zzr=tvrect(Nhc+poff,trow, Nhc+off,brow, xd,yd,Nv); + } else { + int pcol; + pair zlt, zlb, zrt, zrb; + + pcol=Nhc-poff; + zlt=tvps(pcol,trow, xd,yd,Nv); + zlb=tvps(pcol,brow, xd,yd,Nv); + zzl=zlt--arc(ccenter,rclt,rclb)--zlb--cycle; + + pcol=Nhc+poff; + zrb=tvps(pcol,brow, xd,yd,Nv); + zrt=tvps(pcol,trow, xd,yd,Nv); + zzr=zrb--arc(ccenter,rcrb,rcrt)--zrt--cycle; + } + fill(zzl, p=pdef+gray(gs[il]/255)); + fill(zzr, p=pdef+gray(gs[ir]/255)); + + poff=off; + } + return; +} + +/************************ bottom bw **************************************/ +void bottombw(int off, int Nhc, int trow, int brow, + pair ccenter, pair rclt, pair rclb, pair rcrt, pair rcrb, + pen pdef, real xd, real yd, int Nv) { + int rows; + pair zt, zb; + path zz; + + rows=brow-trow; + zz=tvrect(Nhc-off,trow, Nhc+off,brow, xd,yd,Nv); + fill(zz, p=pdef+gray(0.0)); + + zt=tvps(Nhc-off,trow, xd,yd,Nv); + zb=tvps(Nhc-off,brow, xd,yd,Nv); + fill(zt--arc(ccenter,rclt,rclb)--zb--cycle, p=pdef+gray(1.0)); + + zb=tvps(Nhc+off,brow, xd,yd,Nv); + zt=tvps(Nhc+off,trow, xd,yd,Nv); + fill(zb--arc(ccenter,rcrb,rcrt)--zt--cycle, p=pdef+gray(1.0)); + return; +} + +/************************ bottom circle **************************************/ +void bottomcirc(int off, int Nhc, int trow, real cx, real cy, real crad, + pair ccenter, pair rclt, pair rcrt, + pen pdef, real xd, real yd, int Nv) { + real cI=0.75; + real xl, yl, xr, yr, phil, phir; + pair ccleft, ccright; + pair[] z; + + xl=Nhc-off-cx; + phil=acos(xl*xd/yd/crad); + yl=crad*sin(phil); // or (x*xd)^2+(y*yd)^2=(crad*yd)^2 + ccleft=tvps(cx+xl,cy+yl, xd,yd,Nv); + //write(xl,yl); + + xr=Nhc+off-cx; + phir=acos(xr*xd/yd/crad); + yr=crad*sin(phir); + ccright=tvps(cx+xr,cy+yr, xd,yd,Nv); + + //dot(ccright); dot(ccleft); + // red center + z[0]=tvps(Nhc-off,trow, xd,yd,Nv); + z[1]=ccleft; + z[2]=ccright; + z[3]=tvps(Nhc+off,trow, xd,yd,Nv); + fill(z[0]--arc(ccenter,z[1],z[2])--z[3]--cycle, p=pdef+rgb(cI,0,0)); + + // yellow + z[0]=tvps(Nhc-off,trow, xd,yd,Nv); + z[1]=rclt; + z[2]=ccleft; + fill(z[0]--arc(ccenter,z[1],z[2])--cycle, p=pdef+rgb(cI,cI,0)); + z[0]=tvps(Nhc+off,trow, xd,yd,Nv); + z[1]=ccright; + z[2]=rcrt; + fill(z[0]--arc(ccenter,z[1],z[2])--cycle, p=pdef+rgb(cI,cI,0)); + + return; +} + +/****************************** PAL ears *********************************** + * left y R G B + * 0.55 98 162 140 + * 0.5 103 128 191 + * 0.5 152 128 64 + * 0.45 157 93 115 + * right + * 0.6 153 168 76 + * 0.4 102 87 179 + * + * in: dright= -1 left ear, +1 right ear + */ +void palears(int[] coff, int[] coffa, int[] coffb, int Nhc, + int[] rcrowt, int[] rcrowb, int Nvc, int divsy, int dright, + pen pdef, real xd, real yd, int Nv) { + /* the amplitude of (u,v) as seen on a vectorscope, + * max 0.296 Vn for 100% saturation in W and V ears. + * cvbs: 0.7*( y +/- |u+jv| ) = -0.24 .. 0.93 V + * maxima: ebu 75/0 bars 0.70, bbc 100/25 0.88, 100/0 bars 0.93 + * burst: 0.150 Vcvbs, 21.4 IRE or 0.214 V normalized. + * luma: modulated for monochrome compatibility, 1990 version. + * choice: set amplitude of subcarrier equal to amplitude of colorburst. + */ + real cI=0.214; + + /* (u,v) for zero G-y, phase of -34.5 degrees */ + real wr=0.299, wb=0.114, wg=1-wr-wb; /* wg=0.587, y=wr*R+wg*G+wb*B */ + real wu=0.493, wv=0.877; /* u=wu*(B-y) v=wv*(R-y) */ + real colu=wu*wg/wb, colv=-wv*wg/wr; /* for w=(G-y)/0.696 == 0 */ + + /* ears: U==0 W==0 W==0 U==0 */ + real[] cyl={ 0.55, 0.5, 0.5, 0.45 }; + real[] cul={ 0, colu, -colu, 0 }; + real[] cvl={ -1, colv, -colv, 1 }; + + /* ears: V==0 W==0 W==0 V==0 */ + real[] cyr={ 0.60, 0.5, 0.5, 0.40 }; + real[] cur={ -1, colu, -colu, 1 }; + real[] cvr={ 0, colv, -colv, 0 }; + + real[] cy, cu, cv; + pair[] z; + path[] zz; + int lcol, ccol, cicol, rcol, i; + + if(dright>0) { + cy=cyr; cu=cur; cv=cvr; + } else { + cy=cyl; cu=cul; cv=cvl; + } + + lcol=Nhc+dright*coffa[5]; + ccol=Nhc+dright*coff[6]; + cicol=Nhc+dright*coffa[6]; + rcol=Nhc+dright*coffb[7]; + + int urow, trow, crow, brow, arow; + urow=rcrowb[divsy-5]; + trow=rcrowt[divsy-3]; + crow=Nvc; + brow=rcrowb[divsy+4]; + arow=rcrowt[divsy+6]; + + z[0]=tvps(ccol,urow, xd,yd,Nv); + z[1]=tvps(ccol,trow, xd,yd,Nv); + z[2]=tvps(cicol,trow, xd,yd,Nv); + z[3]=tvps(cicol,crow, xd,yd,Nv); + z[4]=tvps(rcol,crow, xd,yd,Nv); + z[5]=tvps(rcol,urow, xd,yd,Nv); + zz[0]=z[0]--z[1]--z[2]--z[3]--z[4]--z[5]--cycle; + + zz[1]=tvrect(lcol,urow, ccol,trow, xd,yd,Nv); + zz[2]=tvrect(lcol,brow, ccol,arow, xd,yd,Nv); + + z[0]=tvps(ccol,arow, xd,yd,Nv); + z[1]=tvps(ccol,brow, xd,yd,Nv); + z[2]=tvps(cicol,brow, xd,yd,Nv); + z[3]=tvps(cicol,crow, xd,yd,Nv); + z[4]=tvps(rcol,crow, xd,yd,Nv); + z[5]=tvps(rcol,arow, xd,yd,Nv); + zz[3]=z[0]--z[1]--z[2]--z[3]--z[4]--z[5]--cycle; + + for(i=0; i<4; ++i) { + real y, u, v, A, ph, By, Ry, Gy, R, G, B; + + y=cy[i]; + u=cu[i]; + v=cv[i]; + + A=hypot(u,v); + ph= (u!=0 || v!=0) ? atan2(v,u) : 0.0; + if(v>=0) { + if(ph<0) ph=ph+pi; + } else { + if(ph>0) ph=ph-pi; + } + if(A>0) { + u=u/A*cI; + v=v/A*cI; + } + + By=u/wu; + Ry=v/wv; + Gy=(-wr*Ry-wb*By)/wg; + //write(y,Gy,A,ph*180/pi); + + R=Ry+y; + G=Gy+y; + B=By+y; + if(verbose > 1) + write(y,round(R*255),round(G*255),round(B*255)); + + fill(zz[i], p=pdef+rgb(R,G,B)); + } + return; +} + +/****************************** NTSC bars *********************************** + * amplitude equals color burst smpte (pm: -V +U) + * y campl sat R G B + * left 0.5 0.21 70% -I? + * right 0.5 0.17 60% +Q? + */ +void ntscbars(int[] coff, int[] coffa, int[] coffb, int Nhc, + int[] rcrowt, int[] rcrowb, int Nvc, int divsy, int dright, + pen pdef, real xd, real yd, int Nv) { + /* The amplitude of (i,q) as seen on a vectorscope, + * max 0.292 Vn for 100% saturation in I==0 ears. + * burst: 0.143 Vcvbs, 20 IRE or 0.200 V normalized. + * pedestal: (yp,up,vp)=(p,0,0)+(1-p)*(y,u,v), p=0.075. + * choice: equal amplitude for colorburst and subcarrier. + */ + real campl=0.200/0.925; + + /* wg=0.587, y=wr*R+wg*G+wb*B */ + real wr=0.299, wb=0.114, wg=1-wr-wb; + /* iT : iq -> RyBy : rotation+scaling */ + real iT11=0.95, iT12=0.62, iT21=-1.11, iT22=1.71; + + /* bars -2 -1 0 1 2 */ + real[] cyl={ 0.50, 0.50, 0, 0.50, 0.50 }; + real[] cil={ 0, 0, 0, -1, 1 }; + real[] cql={ -1, 1, 0, 0, 0 }; + int[] offil={ 6, 7, 5, 7, 6 }; + + real cy, ci, cq; + int dri, dris, offi, lcol, rcol, i; + + if(dright>=0) { + dris=1; + } else { + dris=-1; + } + if(dright<-2 || dright>2) { + dri=2; + } else { + dri=2+dright; + } + + cy=cyl[dri]; ci=cil[dri]; cq=cql[dri]; + offi=offil[dri]; + lcol=Nhc+dris*coffa[offi]; + rcol=Nhc+dris*coffb[offi+1]; + + real A, By, Ry, Gy, R, G, B; + + A=hypot(ci,cq); + if(A>0) { + ci=ci/A*campl; + cq=cq/A*campl; + } + Ry=iT11*ci+iT12*cq; + By=iT21*ci+iT22*cq; + Gy=(-wr*Ry-wb*By)/wg; + //write(cy,Ry,Gy,By); + + R=Ry+cy; + G=Gy+cy; + B=By+cy; + if(verbose > 1) + write(cy,ci,cq,round(R*255),round(G*255),round(B*255)); + + for(i=-divsy; i<=divsy; ++i) { + path zz; + int brow, trow; + + if(i>-divsy) { + trow=rcrowb[divsy+i]; + } else { + trow=floor((rcrowb[divsy+i]+rcrowt[divsy+i+1])/2); + } + + if(divsy>i) { + brow=rcrowt[divsy+i+1]; + } else { + brow=floor((rcrowb[divsy+i]+rcrowt[divsy+i+1])/2); + } + + zz=tvrect(lcol,brow, rcol,trow, xd,yd,Nv); + fill(zz, p=pdef+rgb(R,G,B)); + } + + return; +} + + +/****************************** main ***********************************/ +/* Conversion to bitmap: + * EPSPNG='gs -dQUIET -dNOPAUSE -dBATCH -sDEVICE=png16m' + * asy -u bsys=2 -u colortv=1 -u os=1 -a Z tvgen + * $EPSPNG -r132x144 -g720x576 -sOutputFile=tvgen.png tvgen.eps + * + * asy -u bsys=2 -u colortv=1 -u os=1 tvgen + */ +int bsys=2, colortv=1, os=1; + +/* bsys: broadcast system + * bsys im aspect Nh + * 0 4/3 704 guaranteed analog broadcast itu-r bt.470 + * 1 4/3 720 new broadcast, most TV station logos and animations + * 2 15/11 720 total aperture analog 4/3, 1.37 film DVDs + * 3 20/11 720 total aperture analog 16/9, 1.85 film DVDs + * 4 4/3 768 bsys=0, square dot analog broadcast + * 5 4/3 768 bsys=1, square dot cable TV info channel + * 6 131/96 786 bsys=2, total square dot broadcast camera + * 7 16/9 720 new broadcast 16/9, SD from HD-1440 or itu-r bt.709 + * 8 4/3 704 525 analog broadcast itu-r bt.470 711*485 + * 9 4/3 720 525 new broadcast + * 10 15/11 720 525 total aperture analog broadcast + * 11 16/9 1920 1250, 1080 square dot at 12.5 frames/second + * 12 4/3 1600 1250, 1200 square dot at 12.5 frames/second + * + * colortv: + * set 0 for monochrome crosshatch, 1 for pal ears, 2 for ntsc bars + * + * os: horizontal oversampling, typical values for 13.5MHz: + * 2 4/3 704*576, 15/11 720*576 + * 4 4/3 720*480 + * 5 4/3 704*480, 15/11 720*480, 4/3 768*576 14.4MHz + * 8 4/3 720*576, 20/11 720*576 + * 12 704->768 rerastering + * 16 720->768 rerastering + */ +access settings; +usersetting(); + +if(bsys<0 || bsys>12 || colortv<0 || colortv>3 || os<=0 || os>16) { + write('Error: bad user input: bsys, colortv, os=\t', bsys, colortv, os); + abort('Bad option -u bsys=N ?'); +} + +int[] bNdot= + { 12, 16, 12, 16, 1, 1, 1, 64, 10, 8, 10, 1, 1 }; +int[] bDdot= + { 11, 15, 11, 11, 1, 1, 1, 45, 11, 9, 11, 1, 1 }; +int[] bNh= + { 704, 720, 720, 720, 768, 768, 786, 720, 704, 720, 720, 1920, 1600 }; +int[] bNv= + { 576, 576, 576, 576, 576, 576, 576, 576, 480, 480, 480, 1080, 1200 }; +real[] bfs= + { 13.5,13.5,13.5,13.5, 14.75,14.4,14.75,13.5, 13.5,13.5,13.5, 36, 30 }; +int[] bNsy= + { 42, 42, 42, 42, 42, 42, 42, 42, 34, 34, 34, 78, 90 }; +int[] bNsh= + { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 }; + +/* active lines for a 625 line frame + * The number of active video lines decreased around 1997. + * old: 3 run in + 575 visible + 3 run out = 581 lines + * new: 6 teletext and WSS + 575 visible + * Hence the image center shifted down by 3 lines. Thus + * old TV + new testcard = bottom is cut off, + * new TV + old testcard = top is cut off. + * + * To generate the old testcard either use Nv=582 Nsh=0 or Nv=576 Nsh=3. + * + * aspect ratio + * rimage=xsize/ysize rimage=rdot*Nh/Nv + * Nh=704 dots + * Nv=576 lines + * rd=ri*Nv/Nh=4/3*9/11=12/11 + * + * Nv: 480=2^5*3*5 576=2^6*3^2 + * Nh: 704=2^6*11 720=2^4*3^2*5 + * + * horizontal line distance for pre 1997 test pattern + * top 8 lines, 13 squares of Ny=43 lines, bottom 9 lines + * top 12 lines, 13 squares of Ny=42 lines, bottom 18 lines + * pairs are from odd even field + * Interlace test: Ny must be odd for a cross-hatch without centerline. + * + * squares: ly=Nsy, lx=rd*Nsx, lx=ly ==> Nsx=Nsy/rd={ 39.4, 38.5 } + * x line width 230 ns -> 3 dots + * bottom 2.9us red -> 39.15 dots + * + * resolution DPI from image aspect ratio + * Rv=Nv/ly, ly=4in + * ri=Ni/Di, Ni={4,15,16} Di={3,11,9} + * lx=ri*ly + * + * Rh=Nh/lx=Di*(Nh/(Ni*ly)) + * ==> ri=4/Di => Nh=k*16 + * ri=15/Di => Nh=k*60 + * ri=16/Di => Nh=k*64 + * + * resolution DPI from dot aspect ratio, general algorithm, + * + * rd=Nd/Dd=ldx/ldy + * + * assume 1 dot = Nd x Dd square subdots at a resolution of k, in dpi, then + * + * ldx=Nd/k, ldy=Dd/k ==> Rh=k/Nd, Rv=k/Dd + * + * choosing k=m*Nd*Dd for integer Rh and Rv gives + * + * ldx=1/(m*Dd), ldy=1/(m*Nd), Rh=m*Dd, Rv=m*Nd + * + * and + * + * lx=Nh*ldx=Nh/(m*Dd), ly=Nv*ldy=Nv/(m*Nd) + * + * so choose m for the intended height Ly, in inch, as + * + * m=round(Nv/(Ly*Nd)) + * + * which limits Ly<=Nv/Nd since Rv>=Nd. + */ +//cm=72/2.540005; +real Ly, ly, lx, ysize, xsize, rimage, xd, yd, pwidth; +int Nd, Dd, m, Nh, Nv, Nshift, Na, Nsy; +real fs, Ttone; + +Nd=bNdot[bsys]; +Dd=bDdot[bsys]*os; +Nh=bNh[bsys]*os; +Nv=bNv[bsys]; + +Ly=4; // 4 inch vertical size +m=floor(0.5+Nv/(Ly*Nd)); +if(m<1) m=1; +ly=Nv/(m*Nd); +lx=Nh/(m*Dd); + +ysize=ly*1inch; +xsize=lx*1inch; +rimage=xsize/ysize; +if(verbose > 1) + write('#Nd Dd m ri:\t', Nd, Dd, m, rimage); +//size(xsize,ysize,Aspect); // should not have any effect + +Nsy=bNsy[bsys]; // grating size in lines 42,43, 34,35 +Nshift=bNsh[bsys]; // shift image up: pre 1997 =3, 2007 =0 +fs=1e6*bfs[bsys]*os; +Na=0; // add 1,0,-1 to height of hor center squares for even Na+Nsy + +Ttone=fs/250e3; // period of ft=250 kHz, fs/ft=54 +real[] ftones={0.8e6/fs, 1.8e6/fs, 2.8e6/fs, 3.8e6/fs, 4.8e6/fs}; + +xd=xsize/Nh; +yd=ysize/Nv; +pwidth=min(abs(xd),abs(yd)); + +pen pdefault=squarecap+linewidth(pwidth); +pen pblack=pdefault+gray(0.0); +pen pwhite=pdefault+gray(1.0); + +/**** calculate grating repeats and size in tv dots ****/ +// horizontal lines +int divsy, rdisty, Nvc, Nt, Nb; + +Nvc=floor(Nv/2)-Nshift; +divsy=floor(((Nv-Na-2)/Nsy-1)/2); // (Nv-Na-2)/2-Nsy/2 dots for Nsy lengths +rdisty=Na+Nsy*(1+2*divsy); +Nt=Nvc-ceil(rdisty/2); +Nb=Nv-Nt-rdisty; +if(verbose > 1) + write('#divsy t b: \t',divsy,Nt,Nb); + +/* Nsyc: center square height + * line pairing test: verify distance of center to top and bot + * distance is odd ==> top=even/odd, cent=odd/even, bot=even/odd + * + * Nsyc odd: not possible + * + * Nsyc even: + * Nsyc/2 odd --> OK + * Nsyc/2 even --> stagger the raster one line upwards + * + * rcrowt top dist of hor line + * rcrowc true center for color info, distance to top of image. + * rcrowb bot dist of hor line + * + * Nt=Nvc-(offu+divsy*Nsy); + * Nb=Nv-( Nvc-(offd-divsy*Nsy) ); + * ==> Nt+Nb=Nv-Nsyc-2*divsy*Nsy + */ +int Nsyc, offu, offd, Nyst=0, i; +int[] rcrowt, rcrowc, rcrowb; + +Nsyc=Nsy+Na; +offu=floor(Nsyc/2); +offd=offu-Nsyc; +if(Nsyc%2 != 0) { + Nyst=1; +} else if(Nsyc%4 == 0) { + Nyst=1; /* stagger */ +} +for(i=0; i<=divsy; ++i) { + int iu, id, ou, od, ru, rd; + + iu=divsy-i; + id=divsy+i+1; + + ou=offu+Nsy*i; + od=offd-Nsy*i; + if(verbose > 1) + write(ou,od); + rcrowc[iu]=Nvc-ou; + rcrowc[id]=Nvc-od; + + ru=Nvc-(ou+Nyst); + rd=Nvc-(od+Nyst); + + rcrowt[iu]=ru-1; + rcrowb[iu]=ru+1; + + rcrowt[id]=rd-1; + rcrowb[id]=rd+1; +} +Nt=floor((rcrowt[0]+rcrowb[0])/2); +Nb=Nv-Nt-Nsyc-2*Nsy*divsy; +if(verbose > 1) + write('#st t b: \t',Nyst,Nt,Nb); + +/* vertical lines + * (Nh-2*os)/2-Nsx/2 dots available for divisions of Nsx dots. + * At least 5 dots margin left and right ==> use -10*os + */ +real lsq, Nsx; +int divsx, Nhc, Nl; + +lsq=Nsy*yd; +Nsx=lsq/xd; +divsx=floor(((Nh-10*os)/Nsx-1)/2); +Nhc=round(Nh/2); +Nl=Nhc-round((1+2*divsx)*Nsx/2); +if(verbose > 1) + write('#Nsx divsx Nl:\t',Nsx,divsx,Nl); + +/**** draw gray background ****/ +{ + path zz; + //zz=tvrect(0,0, Nh,Nv, xd,yd,Nv); + /* keep white canvas for castellations */ + zz=tvrect(Nl,Nt, Nh-Nl,Nv-Nb, xd,yd,Nv); + fill(zz, p=pdefault+gray(0.5)); + //dot(zz); +} +/**** draw center circle ****/ +real cx, cy, crad; +pair ccenter; +path ccirc; +cx=Nh/2; +cy=Nv/2-Nshift; +crad=6*Nsy; +if(Nv%2 != 0) { + crad+=0.5; +} +ccenter=tvps(cx,cy, xd,yd,Nv); +ccirc=circle(ccenter, crad*yd); +if(colortv<=0) { + draw(ccirc, p=pwhite+linewidth(2*yd)); +} + +/****** draw 2*divsy+2 horizontal lines **********************************/ +real[] rcang, rcoff; +pair[] rcright, rcleft; +int i, iend=2*divsy+1; +for(i=0; i<=iend; ++i) { + real y, phi, x; + path zzh; + pair zd; + + zzh=tvrect(0,rcrowt[i], Nh,rcrowb[i], xd,yd,Nv); + fill(zzh, p=pwhite); + + y=cy-rcrowc[i]; + //write(roff); + if(abs(y)<crad) { + phi=asin(y/crad); + } else { + phi=pi/2; + } + rcang[i]=phi; + x=(crad*cos(phi))*yd/xd; + rcoff[i]=x; + zd=tvps(cx+x,cy-y, xd,yd,Nv); + rcright[i]=zd; + //dot(zd); + zd=tvps(cx-x,cy-y, xd,yd,Nv); + rcleft[i]=zd; +} + +/****** draw 2*divsx+2 vertical lines ***************************/ +int[] coff, coffa, coffb; +int poffa=0, ccenterwhite=divsx%2; +for(i=0; i<=divsx; ++i) { + real cdist=(1+2*i)*Nsx; + int off, offa, offb; + path zzv; + + off=round(cdist/2); + //write(cdist,off); + offa=off+os; + offb=off-os; + + coff[i]=off; + coffa[i]=offa; + coffb[i]=offb; + + //write(Nhc-offa); + zzv=tvrect(Nhc+offb,0, Nhc+offa,Nv, xd,yd,Nv); + fill(zzv, p=pwhite); + zzv=tvrect(Nhc-offa,0, Nhc-offb,Nv, xd,yd,Nv); + fill(zzv, p=pwhite); + + /** top castellations, must end with black **/ + if(i%2 == ccenterwhite) { + int j, jnum; + + if(poffa == 0) { + poffa=-offb; + jnum=1; + } else { + jnum=2; + } + + for(j=0; j<jnum; ++j) { + int lc, rc; + path zzc; + + if(j==0) { + lc=Nhc+poffa; + rc=Nhc+offb; + } else { + lc=Nhc-offb; + rc=Nhc-poffa; + } + + zzc=tvrect(lc,0, rc,Nt-1, xd,yd,Nv); + fill(zzc, p=pblack); + zzc=tvrect(lc,Nv-Nb+1, rc,Nv, xd,yd,Nv); + fill(zzc, p=pblack); + } + } + + poffa=offa; +} +//write(coff); + +/** left and right castellations **/ +/* The bottom right red rectangle tests for a non causal color FIR + * filter in the receiver. The last 2..4 dots then typically appear + * colorless, green, or cyan. + * + * This comes from the fact that the chroma subcarrier is of lower + * bandwidth than luma and thus continues after the last active sample. + * These trailing (y,u,v) samples result from a signal to zero + * transition and depend on the transmit and receive filters. Samples + * from VHS, system B/G/D/K, system I, or a DVD player output are + * different. Nevertheless, a sharpening filter uses this data and so + * adds false color to the last dots. + */ +int lc, rc; +iend=2*divsy+1; +lc=Nhc-coffa[divsx]; +rc=Nhc+coffa[divsx]; +for(i=1; i<=iend; ++i) { + pen pcast; + if(i == iend && colortv>0) { + pcast=pdefault+rgb(0.75,0.0,0); + } else { + pcast=pblack; + } + if(i%2 == 1) { + int tr, br; + path zzc; + + tr=rcrowb[i-1]; + br=rcrowt[i]; + zzc=tvrect( 0,tr, lc,br, xd,yd,Nv); + fill(zzc, p=pblack); + zzc=tvrect(rc,tr, Nh,br, xd,yd,Nv); + fill(zzc, p=pcast); + } +} + +/****** markers for 4/3 aspect ratio ******/ +if(rimage>4/3) + rimarkers(rimage, Nh, Nhc, os, Nvc, Nsy, pwhite, xd, yd, Nv); + +/****** line pairing center ******/ +centerline(coff, coffa, coffb, Nhc, divsx, os, rcrowc, Nvc, divsy, + ccenter, rcoff, rcright, rcleft, pdefault, xd, yd, Nv); + +if(colortv>0) { + /* topbw structure */ + topbw(coff, Nhc, os, rcrowc[divsy-5], rcrowc[divsy-4], rcrowc[divsy-3], + ccenter, rcleft[divsy-4], rcleft[divsy-3], rcright[divsy-4], + rcright[divsy-3], pdefault, xd, yd, Nv); + + /* 250 kHz */ + testtone(Ttone, rcrowc[divsy-3], rcrowc[divsy-2], + cx, cy, crad, pdefault, xd, yd, Nv); + + /* color bars */ + colorbars(coff, Nhc, rcrowc[divsy-2], rcrowc[divsy-1], rcrowc[divsy], + ccenter, rcleft[divsy-2], rcleft[divsy], rcright[divsy-2], + rcright[divsy], pdefault, xd, yd, Nv); + + /* test frequencies */ + testfreqs(ftones, coff, Nhc, rcrowc[divsy+1], rcrowc[divsy+2], + rcrowc[divsy+3], ccenter, rcleft[divsy+1], rcleft[divsy+3], + rcright[divsy+1],rcright[divsy+3], pdefault, xd, yd, Nv); + + /* gray bars */ + graybars(coff, Nhc, rcrowc[divsy+3], rcrowc[divsy+4], ccenter, + rcleft[divsy+3], rcleft[divsy+4], + rcright[divsy+3], rcright[divsy+4], pdefault, xd,yd,Nv); + + /* PAL ears */ + if(colortv==1) { + palears(coff,coffa,coffb, Nhc, rcrowt, rcrowb, Nvc, divsy, -1, + pdefault, xd, yd, Nv); + palears(coff,coffa,coffb, Nhc, rcrowt, rcrowb, Nvc, divsy, 1, + pdefault, xd, yd, Nv); + } else if(colortv==2) { + ntscbars(coff,coffa,coffb, Nhc, rcrowt, rcrowb, Nvc, divsy, -1, + pdefault, xd, yd, Nv); + ntscbars(coff,coffa,coffb, Nhc, rcrowt, rcrowb, Nvc, divsy, 1, + pdefault, xd, yd, Nv); + ntscbars(coff,coffa,coffb, Nhc, rcrowt, rcrowb, Nvc, divsy, -2, + pdefault, xd, yd, Nv); + ntscbars(coff,coffa,coffb, Nhc, rcrowt, rcrowb, Nvc, divsy, 2, + pdefault, xd, yd, Nv); + } + + /* bottom wh - black - wh */ + bottombw(round((coff[2]+coff[3])/2), Nhc, rcrowc[divsy+4], rcrowc[divsy+5], + ccenter, rcleft[divsy+4], rcleft[divsy+5], + rcright[divsy+4], rcright[divsy+5], pdefault, xd, yd, Nv); + + /* bottom yellow red circle */ + bottomcirc(coff[0], Nhc, rcrowc[divsy+5], cx, cy, crad, + ccenter, rcleft[divsy+5], rcright[divsy+5], pdefault, xd, yd, Nv); +} + +/********************** set id *********************/ +{ /* dpi */ + pair rpos=tvps(Nhc,round((rcrowc[divsy-4]+rcrowc[divsy-5])/2), xd,yd,Nv); + string iRhor, iRver, ires; + real Rh, Rv; + + Rh=Nh/xsize*inch; + Rv=Nv/ysize*inch; + iRhor=format("%.4gx", Rh); + iRver=format("%.4gdpi", Rv); + ires=insert(iRver,0, iRhor); + + /* size info */ + int rowbot=round((rcrowc[divsy+4]+rcrowc[divsy+5])/2); + pair tpos=tvps(Nhc,rowbot, xd,yd,Nv); + string ihor, iver, itot, iasp, ifm; + real asp, fm; + + ihor=format("%ix",Nh); + iver=format("%i ",Nv); + itot=insert(iver,0, ihor); + asp=xsize/ysize; + iasp=format("%.3g ",asp); + fm=fs/1e6; + ifm=format("%.4gMHz",fm); + itot=insert(iasp,0, itot); + itot=insert(ifm,0, itot); + + /* size of square */ + int rowNsy=round((rcrowc[divsy+5]+rcrowc[divsy+6])/2); + pair Npos=tvps(Nhc+round((coff[4]+coff[5])/2),rowNsy, xd,yd,Nv); + string iNsy=format("%i",Nsy); + + pen pbw; + if(colortv>0) { + pbw=pdefault+gray(1.0); + } else { + pbw=pdefault+gray(0.0); + } + label(ires, rpos, p=pbw); + label(itot, tpos, p=pbw); + label(iNsy, Npos, p=pbw); + if(verbose > 1) + write('#res:\t', ires, itot, iNsy); +} + diff --git a/Master/texmf-dist/doc/asymptote/examples/twistedtubes.asy b/Master/texmf-dist/doc/asymptote/examples/twistedtubes.asy new file mode 100644 index 00000000000..9121ad6444d --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/twistedtubes.asy @@ -0,0 +1,30 @@ +import graph3; +import palette; + +size(300,300,keepAspect=true); + +real w=0.4; + +real f(triple t) {return sin(t.x);} +triple f1(pair t) {return (cos(t.x)-2cos(w*t.y),sin(t.x)-2sin(w*t.y),t.y);} +triple f2(pair t) {return (cos(t.x)+2cos(w*t.y),sin(t.x)+2sin(w*t.y),t.y);} +triple f3(pair t) {return (cos(t.x)+2sin(w*t.y),sin(t.x)-2cos(w*t.y),t.y);} +triple f4(pair t) {return (cos(t.x)-2sin(w*t.y),sin(t.x)+2cos(w*t.y),t.y);} + +surface s1=surface(f1,(0,0),(2pi,10),8,8,Spline); +surface s2=surface(f2,(0,0),(2pi,10),8,8,Spline); +surface s3=surface(f3,(0,0),(2pi,10),8,8,Spline); +surface s4=surface(f4,(0,0),(2pi,10),8,8,Spline); + +pen[] Rainbow=Rainbow(); +s1.colors(palette(s1.map(f),Rainbow)); +s2.colors(palette(s2.map(f),Rainbow)); +s3.colors(palette(s3.map(f),Rainbow)); +s4.colors(palette(s4.map(f),Rainbow)); + +defaultrender.merge=true; + +draw(s1); +draw(s2); +draw(s3); +draw(s4); diff --git a/Master/texmf-dist/doc/asymptote/examples/unitcircle.asy b/Master/texmf-dist/doc/asymptote/examples/unitcircle.asy new file mode 100644 index 00000000000..582f5f3c1ff --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/unitcircle.asy @@ -0,0 +1,14 @@ +size(0,150); + +pair z0=0; +pair z1=1; +real theta=30; +pair z=dir(theta); + +draw(circle(z0,1)); +filldraw(z0--arc(z0,1,0,theta)--cycle,lightgrey); +dot(z0); +dot(Label,z1); +dot("$(x,y)=(\cos\theta,\sin\theta)$",z); +arrow("area $\frac{\theta}{2}$",dir(0.5*theta),2E); +draw("$\theta$",arc(z0,0.7,0,theta),LeftSide,Arrow,PenMargin); diff --git a/Master/texmf-dist/doc/asymptote/examples/unitcircle3.asy b/Master/texmf-dist/doc/asymptote/examples/unitcircle3.asy new file mode 100644 index 00000000000..be282011dca --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/unitcircle3.asy @@ -0,0 +1,9 @@ +import three; + +size(100); + +path3 g=(1,0,0)..(0,1,0)..(-1,0,0)..(0,-1,0)..cycle; +draw(g); +draw(O--Z,red+dashed,Arrow3); +draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle)); +dot(g,red); diff --git a/Master/texmf-dist/doc/asymptote/examples/unitoctant.asy b/Master/texmf-dist/doc/asymptote/examples/unitoctant.asy new file mode 100644 index 00000000000..89f851f6a23 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/unitoctant.asy @@ -0,0 +1,35 @@ +import graph3; + +currentprojection=orthographic(5,4,2); + +size(0,150); +patch s=octant1; +draw(surface(s),green+opacity(0.5)); +draw(s.external(),blue); + +triple[][] P=s.P; + +for(int i=0; i < 4; ++i) + dot(P[i],red); + +axes3("$x$","$y$",Label("$z$",align=Z)); +triple P00=P[0][0]; +triple P10=P[1][0]; +triple P01=P[0][1]; +triple P02=P[0][2]; +triple P11=P[1][1]; +triple P12=P[1][2]; +triple Q11=XYplane(xypart(P11)); +triple Q12=XYplane(xypart(P12)); + +draw(P11--Q11,dashed); +draw(P12--Q12,dashed); +draw(O--Q12--Q11--(Q11.x,0,0)); +draw(Q12--(Q12.x,0,0)); + +label("$(1,0,0)$",P00,-2Y); +label("$(1,a,0)$",P10,-Z); +label("$(1,0,a)$",P01,-2Y); +label("$(a,0,1)$",P02,Z+X-Y); +label("$(1,a,a)$",P11,3X); +label("$(a,a^2,1)$",P12,7X+Y); diff --git a/Master/texmf-dist/doc/asymptote/examples/upint.asy b/Master/texmf-dist/doc/asymptote/examples/upint.asy new file mode 100644 index 00000000000..b488358ec6a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/upint.asy @@ -0,0 +1,13 @@ +import graph; +import lowupint; + +size(100,0); + +real a=-0.8, b=1.2; +real c=-1.0/sqrt(3.0); + +partition(a,b,c,max); + +arrow("$f(x)$",F(0.5*(a+b)),NNE,red); +label("$\cal{U}$",(0.5*(a+b),f(0.5*(a+b))/2)); + diff --git a/Master/texmf-dist/doc/asymptote/examples/vectorfield.asy b/Master/texmf-dist/doc/asymptote/examples/vectorfield.asy new file mode 100644 index 00000000000..12de66e49c5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/vectorfield.asy @@ -0,0 +1,9 @@ +import graph; +size(100); + +pair a=(0,0); +pair b=(2pi,2pi); + +path vector(pair z) {return (0,0)--(sin(z.x),cos(z.y));} + +add(vectorfield(vector,a,b)); diff --git a/Master/texmf-dist/doc/asymptote/examples/vectorfield3.asy b/Master/texmf-dist/doc/asymptote/examples/vectorfield3.asy new file mode 100644 index 00000000000..a7bdbdb36c9 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/vectorfield3.asy @@ -0,0 +1,26 @@ +import graph3; + +size(12cm,0); + +currentprojection=orthographic(1,-2,1); +currentlight=(1,-1,0.5); + +real f(pair z) {return abs(z)^2;} + +path3 gradient(pair z) { + static real dx=sqrtEpsilon, dy=dx; + return O--((f(z+dx)-f(z-dx))/2dx,(f(z+I*dy)-f(z-I*dy))/2dy,0); +} + +pair a=(-1,-1); +pair b=(1,1); + +triple F(pair z) {return (z.x,z.y,0);} + +add(vectorfield(gradient,F,a,b,red)); + +draw(surface(f,a,b,Spline),gray+opacity(0.5)); + +xaxis3(XY()*"$x$",OutTicks(XY()*Label)); +yaxis3(XY()*"$y$",InTicks(YX()*Label)); +zaxis3("$z$",OutTicks); diff --git a/Master/texmf-dist/doc/asymptote/examples/vectorfieldsphere.asy b/Master/texmf-dist/doc/asymptote/examples/vectorfieldsphere.asy new file mode 100644 index 00000000000..7f1e49057a5 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/vectorfieldsphere.asy @@ -0,0 +1,17 @@ +import graph3; + +size(12cm); + +currentprojection=orthographic(1,-2,1); +currentlight=(1,-1,0.5); + +triple f(pair z) {return expi(z.x,z.y);} + +path3 vector(pair z) { + triple v=f(z); + return O--(v.y,v.z,v.x); +} + +add(vectorfield(vector,f,(0,0),(pi,2pi),10,0.25,red,render(merge=true))); + +draw(unitsphere,gray+opacity(0.5),render(compression=0,merge=true)); diff --git a/Master/texmf-dist/doc/asymptote/examples/venn.asy b/Master/texmf-dist/doc/asymptote/examples/venn.asy new file mode 100644 index 00000000000..f56440ba0a4 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/venn.asy @@ -0,0 +1,37 @@ +size(0,150); + +pen colour1=red; +pen colour2=green; + +pair z0=(0,0); +pair z1=(-1,0); +pair z2=(1,0); +real r=1.5; +path c1=circle(z1,r); +path c2=circle(z2,r); +fill(c1,colour1); +fill(c2,colour2); + +picture intersection; +fill(intersection,c1,colour1+colour2); +clip(intersection,c2); + +add(intersection); + +draw(c1); +draw(c2); + +label("$A$",z1); +label("$B$",z2); + +pair z=(0,-2); +real m=3; +margin BigMargin=Margin(0,m*dot(unit(z1-z),unit(z0-z))); + +draw(Label("$A\cap B$",0),conj(z)--z0,Arrow,BigMargin); +draw(Label("$A\cup B$",0),z--z0,Arrow,BigMargin); +draw(z--z1,Arrow,Margin(0,m)); +draw(z--z2,Arrow,Margin(0,m)); + +shipout(bbox(0.25cm)); +currentpicture.uptodate=true; diff --git a/Master/texmf-dist/doc/asymptote/examples/venn3.asy b/Master/texmf-dist/doc/asymptote/examples/venn3.asy new file mode 100644 index 00000000000..6118fab6e9a --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/venn3.asy @@ -0,0 +1,50 @@ +size(0,150); + +pen colour1=red; +pen colour2=green; +pen colour3=blue; + +real r=sqrt(3); + +pair z0=(0,0); +pair z1=(-1,0); +pair z2=(1,0); +pair z3=(0,r); + +path c1=circle(z1,r); +path c2=circle(z2,r); +path c3=circle(z3,r); + +fill(c1,colour1); +fill(c2,colour2); +fill(c3,colour3); + +picture intersection12; +fill(intersection12,c1,colour1+colour2); +clip(intersection12,c2); + +picture intersection13; +fill(intersection13,c1,colour1+colour3); +clip(intersection13,c3); + +picture intersection23; +fill(intersection23,c2,colour2+colour3); +clip(intersection23,c3); + +picture intersection123; +fill(intersection123,c1,colour1+colour2+colour3); +clip(intersection123,c2); +clip(intersection123,c3); + +add(intersection12); +add(intersection13); +add(intersection23); +add(intersection123); + +draw(c1); +draw(c2); +draw(c3); + +label("$A$",z1); +label("$B$",z2); +label("$C$",z3); diff --git a/Master/texmf-dist/doc/asymptote/examples/vertexshading.asy b/Master/texmf-dist/doc/asymptote/examples/vertexshading.asy new file mode 100644 index 00000000000..ea97b98daf3 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/vertexshading.asy @@ -0,0 +1,9 @@ +import three; + +size(200); + +currentprojection=perspective(4,5,5); + +draw(surface(unitcircle3,new pen[] {red,green,blue,white})); +draw(surface(shift(Z)*unitsquare3, + new pen[] {red,green+opacity(0.5),blue,black})); diff --git a/Master/texmf-dist/doc/asymptote/examples/washer.asy b/Master/texmf-dist/doc/asymptote/examples/washer.asy new file mode 100644 index 00000000000..457ae69fb83 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/washer.asy @@ -0,0 +1,14 @@ +import three; +size(10cm); + +path3[] p=reverse(unitcircle3)^^scale3(0.5)*unitcircle3; +path[] g=reverse(unitcircle)^^scale(0.5)*unitcircle; +triple H=-0.4Z; + +render render=render(merge=true); +draw(surface(p,planar=true),render); +draw(surface(shift(H)*p,planar=true),render); +material m=material(lightgray,shininess=1.0); +for(path pp : g) + draw(extrude(pp,H),m); + diff --git a/Master/texmf-dist/doc/asymptote/examples/washermethod.asy b/Master/texmf-dist/doc/asymptote/examples/washermethod.asy new file mode 100644 index 00000000000..d86bf8cd4df --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/washermethod.asy @@ -0,0 +1,43 @@ +import graph3; +import solids; +size(0,150); +currentprojection=perspective(0,0,11,up=Y); + +pen color1=green+opacity(0.25); +pen color2=red; +real alpha=250; + +real f(real x) {return 2x^2-x^3;} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} + +ngraph=12; + +real x1=0.7476; +real x2=1.7787; +real x3=1.8043; + +path[] p={graph(F,x1,x2,Spline), + graph(F,0.7,x1,Spline)--graph(F,x2,x3,Spline), + graph(F,0,0.7,Spline)--graph(F,x3,2,Spline)}; + +pen[] pn=new pen[] {color1,color2,color1}; + +render render=render(compression=0); + +for(int i=0; i < p.length; ++i) { + revolution a=revolution(path3(p[i]),Y,0,alpha); + draw(surface(a),pn[i],render); + + surface s=surface(p[i]--cycle); + draw(s,pn[i],render); + draw(rotate(alpha,Y)*s,pn[i],render); +} + +draw((4/3,0,0)--F3(4/3),dashed); +xtick("$\frac{4}{3}$",(4/3,0,0)); + +xaxis3(Label("$x$",1),Arrow3); +yaxis3(Label("$y$",1),ymax=1.25,dashed,Arrow3); +arrow("$y=2x^2-x^3$",F3(1.6),X+Y,0.75cm,red); +draw(arc(1.1Y,0.3,90,0,7.5,180),Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/wedge.asy b/Master/texmf-dist/doc/asymptote/examples/wedge.asy new file mode 100644 index 00000000000..41b4326cf42 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/wedge.asy @@ -0,0 +1,23 @@ +import graph3; +import solids; +size(0,150); +currentprojection=perspective(8,10,2); +currentlight=White; + +draw(circle(O,4,Z)); +draw(shift(-4Z)*scale(4,4,8)*unitcylinder,green+opacity(0.2)); + +triple F(real x){return (x,sqrt(16-x^2),sqrt((16-x^2)/3));} +path3 p=graph(F,0,4,operator ..); +path3 q=reverse(p)--rotate(180,(0,4,4/sqrt(3)))*p--cycle; + +render render=render(merge=true); +draw(surface(q--cycle),red,render); + +real t=2; +path3 triangle=(t,0,0)--(t,sqrt(16-t^2),0)--F(t)--cycle; +draw(surface(triangle),blue,render); + +xaxis3("$x$",Arrow3,PenMargin3(0,0.25)); +yaxis3("$y$",Arrow3,PenMargin3(0,0.25)); +zaxis3("$z$",dashed,Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/westnile.asy b/Master/texmf-dist/doc/asymptote/examples/westnile.asy new file mode 100644 index 00000000000..7f63047983f --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/westnile.asy @@ -0,0 +1,64 @@ +import graph; + +size(9cm,8cm,IgnoreAspect); +string data="westnile.csv"; + +file in=input(data).line().csv(); + +string[] columnlabel=in; + +real[][] A=in.dimension(0,0); +A=transpose(A); +real[] number=A[0], survival=A[1]; + +path g=graph(number,survival); +draw(g); + +scale(true); + +xaxis("Initial no.\ of mosquitoes per bird ($S_{M_0}/N_{B_0}$)", + Bottom,LeftTicks); +xaxis(Top); +yaxis("Susceptible bird survival",Left,RightTicks(trailingzero)); +yaxis(Right); + +real a=number[0]; +real b=number[number.length-1]; + +real S1=0.475; +path h1=(a,S1)--(b,S1); +real M1=interp(a,b,intersect(h1,g)[0]); + +real S2=0.9; +path h2=(a,S2)--(b,S2); +real M2=interp(a,b,intersect(h2,g)[0]); + +labelx("$M_1$",M1); +labelx("$M_2$",M2); + +draw((a,S2)--(M2,S2)--(M2,0),Dotted); +draw((a,S1)--(M1,S1)--(M1,0),dashed); + +pen p=fontsize(10pt); + +real y3=0.043; +path reduction=(M1,y3)--(M2,y3); +draw(reduction,Arrow,TrueMargin(0,0.5*(linewidth(Dotted)+linewidth()))); + +arrow(shift(-20,5)*Label(minipage("\flushleft{\begin{itemize}\item[1.] +Estimate proportion of birds surviving at end of season\end{itemize}}",100), + align=NNE), + (M1,S1),NNE,1cm,p,Arrow(NoFill)); + +arrow(shift(-24,5)*Label(minipage("\flushleft{\begin{itemize}\item[2.] +Read off initial mosquito abundance\end{itemize}}",80),align=NNE), + (M1,0),NE,2cm,p,Arrow(NoFill)); + +arrow(shift(20,0)*Label(minipage("\flushleft{\begin{itemize}\item[3.] +Determine desired bird survival for next season\end{itemize}}",90),align=SW), + (M2,S2),SW,arrowlength,p,Arrow(NoFill)); + +arrow(shift(8,-15)*Label(minipage("\flushleft{\begin{itemize}\item[4.] +Calculate required proportional reduction in mosquitoes\end{itemize}}",90), + align=NW), + point(reduction,0.5),NW,1.5cm,p,Arrow(NoFill)); diff --git a/Master/texmf-dist/doc/asymptote/examples/westnile.csv b/Master/texmf-dist/doc/asymptote/examples/westnile.csv new file mode 100644 index 00000000000..cfc8493ed22 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/westnile.csv @@ -0,0 +1,402 @@ +sm0,0.001(T14) +0.0,0.9973 +0.1,0.9973 +0.2,0.9972 +0.3,0.9972 +0.4,0.9971 +0.5,0.9971 +0.6,0.9970 +0.7,0.9970 +0.8,0.9969 +0.9,0.9968 +1.0,0.9968 +1.1,0.9967 +1.2,0.9966 +1.3,0.9966 +1.4,0.9965 +1.5,0.9964 +1.6,0.9963 +1.7,0.9963 +1.8,0.9962 +1.9,0.9961 +2.0,0.9960 +2.1,0.9959 +2.2,0.9958 +2.3,0.9957 +2.4,0.9957 +2.5,0.9956 +2.6,0.9955 +2.7,0.9954 +2.8,0.9952 +2.9,0.9951 +3.0,0.9950 +3.1,0.9949 +3.2,0.9948 +3.3,0.9947 +3.4,0.9945 +3.5,0.9944 +3.6,0.9943 +3.7,0.9941 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+ +real r=4; +real h=10; +real s=8; +real x=r*s/h; + +real sr=5; +real xr=r*sr/h; + +real s1=sr-0.1; +real x1=r*s1/h; + +real s2=sr+0.2; +real x2=r*s2/h; + +render render=render(compression=0,merge=true); + +path3 p=(0,0,0)--(x,0,s); +revolution a=revolution(p,Z); +draw(surface(a,4),lightblue+opacity(0.5),render); + +path3 q=(x,0,s)--(r,0,h); +revolution b=revolution(q,Z); +draw(surface(b),white+opacity(0.5),render); + +draw((-r-1,0,0)--(r+1,0,0)); +draw((0,0,0)--(0,0,h+1),dashed); + +path3 w=(x1,0,s1)--(x2,0,s2)--(0,0,s2); +revolution b=revolution(w,Z); +draw(surface(b),blue+opacity(0.5),render); +draw(circle((0,0,s2),x2)); +draw(circle((0,0,s1),x1)); + +draw("$x$",(xr,0,0)--(xr,0,sr),red,Arrow3,PenMargin3); +draw("$r$",(0,0,sr)--(xr,0,sr),N,red); +draw((string) r,(0,0,h)--(r,0,h),N,red); +draw((string) h,(r,0,0)--(r,0,h),red,Arrow3,PenMargin3); +draw((string) s,(-x,0,0)--(-x,0,s),W,red,Arrow3,Bar3,PenMargin3); diff --git a/Master/texmf-dist/doc/asymptote/examples/worksheet.asy b/Master/texmf-dist/doc/asymptote/examples/worksheet.asy new file mode 100644 index 00000000000..9894e5802b8 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/worksheet.asy @@ -0,0 +1,49 @@ +import fontsize; + +defaultpen(Helvetica()); + +picture pic; +unitsize(pic,mm); + +pair z=(0,0); +real length=88; +real height=8; +pair step=height*S; + +label(pic,"Word Wall Spelling",z,Align); +z += step; +frame f; +label(f,"Name:"); +pair z0=(max(f).x,min(f).y); +draw(f,z0--z0+50mm); +add(pic,f,z,Align); +z += step; + +for(int i=1; i <= 15; ++i) { + draw(pic,z--z+length); + z += step; + draw(pic,z--z+length,dashed+gray); + z += step; + void label(int i) { + label(pic,string(i)+".",z,0.2NE,fontsize(0.8*1.5*2*height*mm)+gray); + } + if(i <= 10) label(i); + else if(i == 11) { + pair z0=z+length/2; + pen p=fontsize(20pt); + label(pic,"Challenge Word",z0+N*height,I*Align.y,p+basealign); + label(pic,"(optional)",z0,I*Align.y,p); + } + else if(i == 12) label(1); + else if(i == 13) label(2); + else if(i == 14) label(3); +} +draw(pic,z--z+length); + +add(pic.fit(),(0,0),W); +add(pic.fit(),(0,0),E); +newpage(); +add(pic.fit(),(0,0),W); +add(pic.fit(),(0,0),E); + + diff --git a/Master/texmf-dist/doc/asymptote/examples/worldmap.asy b/Master/texmf-dist/doc/asymptote/examples/worldmap.asy new file mode 100644 index 00000000000..59479fffbe2 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/worldmap.asy @@ -0,0 +1,87 @@ +settings.outformat="pdf";
+size(20cm);
+
+// The required data file is available here:
+// http://www.uni-graz.at/~schwaige/asymptote/worldmap.dat
+// This data was originally obtained from
+// http://www.ngdc.noaa.gov/mgg_coastline/mapit.jsp
+
+real findtheta(real phi, real epsilon=realEpsilon) {
+ // Determine for given phi the unique solution -pi/2 <= theta <= pi/2 off
+ // 2*theta+sin(2*theta)=pi*sin(phi)
+ // in the non-trivial cases by Newton iteration;
+ // theoretically the initial guess pi*sin(phi)/4 always works.
+ real nwtn(real x, real y) {return x-(2x+sin(2x)-y)/(2+2*cos(2x));};
+ real y=pi*sin(phi);
+ if(y == 0) return 0.0;
+ if(abs(y) == 1) return pi/2;
+ real startv=y/4;
+ real endv=nwtn(startv,y);
+ if(epsilon < 500*realEpsilon) epsilon=500*realEpsilon;
+ while(abs(endv-startv) > epsilon) {startv=endv; endv=nwtn(startv,y);};
+ return endv;
+}
+
+pair mollweide(real lambda, real phi, real lambda0=0){
+ // calculate the Mollweide projection centered at lambda0 for the point
+ // with coordinates(phi,lambda)
+ static real c1=2*sqrt(2)/pi;
+ static real c2=sqrt(2);
+ real theta=findtheta(phi);
+ return(c1*(lambda-lambda0)*cos(theta), c2*sin(theta));
+}
+
+guide gfrompairs(pair[] data){
+ guide gtmp;
+ for(int i=0; i < data.length; ++i) {
+ pair tmp=mollweide(radians(data[i].y),radians(data[i].x));
+ gtmp=gtmp--tmp;
+ }
+ return gtmp;
+}
+
+string datafile="worldmap.dat";
+
+file in=input(datafile,comment="/").line();
+// new commentchar since "#" is contained in the file
+pair[][] arrarrpair=new pair[][] ;
+int cnt=-1;
+bool newseg=false;
+while(true) {
+ if(eof(in)) break;
+ string str=in;
+ string[] spstr=split(str,"");
+
+ if(spstr[0] == "#") {++cnt; arrarrpair[cnt]=new pair[] ; newseg=true;}
+ if(spstr[0] != "#" && newseg) {
+ string[] spstr1=split(str,'\t'); // separator is TAB not SPACE
+ pair tmp=((real) spstr1[1],(real) spstr1[0]);
+ arrarrpair[cnt].push(tmp);
+ }
+}
+
+for(int i=0; i < arrarrpair.length; ++i)
+ draw(gfrompairs(arrarrpair[i]),1bp+black);
+
+// lines of longitude and latitude
+pair[] constlong(real lambda, int np=100) {
+ pair[] tmp;
+ for(int i=0; i <= np; ++i) tmp.push((-90+i*180/np,lambda));
+ return tmp;
+}
+
+pair[] constlat(real phi, int np=100) {
+ pair[] tmp;
+ for(int i=0; i <= 2*np; ++i) tmp.push((phi,-180+i*180/np));
+ return tmp;
+}
+
+for(int j=1; j <= 5; ++j) draw(gfrompairs(constlong(-180+j/6*360)),white);
+draw(gfrompairs(constlong(-180)),1.5bp+white);
+draw(gfrompairs(constlong(180)),1.5bp+white);
+for(int j=0; j <= 12; ++j) draw(gfrompairs(constlat(-90+j/6*180)),white);
+//draw(gfrompairs(constlong(10)),dotted);
+
+close(in);
+shipout(bbox(1mm,darkblue,Fill(lightblue)), view=true);
+
diff --git a/Master/texmf-dist/doc/asymptote/examples/xsin1x.asy b/Master/texmf-dist/doc/asymptote/examples/xsin1x.asy new file mode 100644 index 00000000000..cf394efb1a6 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/xsin1x.asy @@ -0,0 +1,24 @@ +import graph; +size(300,0); + +real f(real x) {return (x != 0.0) ? x * sin(1.0 / x) : 0.0;} +pair F(real x) {return (x,f(x));} + +xaxis("$x$",red); +yaxis(red); +draw(graph(f,-1.2/pi,1.2/pi,1000)); +label("$x\sin\frac{1}{x}$",F(1.1/pi),NW); + +picture pic; +size(pic,50,IgnoreAspect); +xaxis(pic,red); +yaxis(pic,red); +draw(pic,graph(pic,f,-0.1/pi,0.1/pi,1000)); + +add(new void(frame f, transform t) { + frame G=shift(point(f,N+0.85W))*align(bbox(pic,blue),10SE); + add(f,G); + draw(f,t*box(min(pic,user=true),max(pic,user=true)),blue); + draw(f,point(G,E)--t*point(pic,W),blue); + }); + diff --git a/Master/texmf-dist/doc/asymptote/examples/xstitch.asy b/Master/texmf-dist/doc/asymptote/examples/xstitch.asy new file mode 100644 index 00000000000..5f332881733 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/xstitch.asy @@ -0,0 +1,170 @@ +pair c=(0,0.8); + +int iters(pair z, int max=160) { + int n=0; + while(abs(z) < 2 && n < max) { + z=z*z+c; + ++n; + } + return n; +} + +int[] cutoffs={12,15,20,30,40,60,200}; +int key(pair z) { + int i=iters(z); + int j=0; + while(cutoffs[j] < i) + ++j; + return j; +} + + +int width=210; +int height=190; + +real zoom=2.5/200; + +int[][] values=new int[width][height]; +int[] histogram; for(int v=0; v < 10; ++v) histogram.push(0); +for(int i=0; i < width; ++i) { + real x=zoom*(i-width/2); + for(int j=0; j < height; ++j) { + real y=zoom*(j-height/2); + int v=key((x,y)); + values[i][j]=v; + ++histogram[v]; + } +} + +// Print out a histogram. +write("histogram: "); +write(histogram); + + +pen linepen(int i, int max) { + real w=i == -1 || i == max+1 ? 2.0 : + i % 10 == 0 || i == max ? 1.0 : + i % 5 == 0 ? 0.8 : + 0.25; + return linewidth(w); +} + +pen xpen(int i) { + return linepen(i,width)+(i == width/2 ? red : + i == 75 || i == width-75 ? dashed : + black); +} + +pen ypen(int i) { + return linepen(i,height)+(i == height/2 ? red : + i == 75 || i == height-75 ? dashed : + black); +} + +// The length of the side of a cross stitch cell. +real cell=2.3mm; +transform t=scale(cell); + + +picture tick; +draw(tick,(0,0)--(1,1)); + +picture ell; +draw(ell,(0,1)--(0,0)--(0.7,0)); + +picture cross; +draw(cross,(0,0)--(1,1)); +draw(cross,(1,0)--(0,1)); + +picture star; +draw(star,(0.15,0.15)--(0.85,0.85)); +draw(star,(0.85,0.15)--(0.15,0.85)); +draw(star,(.5,0)--(.5,1)); +draw(star,(0,.5)--(1,.5)); + +picture triangle; +draw(triangle,(0,0)--(2,0)--(1,1.5)--cycle); + +picture circle; +fill(circle,shift(1,1)*unitcircle); + +picture ocircle; +draw(ocircle,shift(1,1)*unitcircle); + +picture spare; +fill(spare,(0,0)--(1,1)--(0,1)--cycle); + +picture[] pics={tick,ell,cross,star,triangle,circle}; +pen[] colors={black,0.2purple,0.4purple,0.6purple,0.8purple,purple, + 0.8purple+0.2white}; + +frame[] icons; +icons.push(newframe); +for(picture pic : pics) { + // Scaling factor, so that we don't need weird line widths. + real X=1.0; + frame f=pic.fit(.8X*cell,.8X*cell,Aspect); + f=scale(1/X)*f; + + // Center the icon in the cell. + f=shift((cell/2,cell/2)-0.5(max(f)-min(f)))*f; + + icons.push(f); +} + +void drawSection(int xmin, int xmax, int ymin, int ymax) { + static int shipoutNumber=0; + + // Draw directly to a frame for speed reasons. + frame pic; + + for(int i=xmin; i <= xmax; ++i) { + draw(pic,t*((i,ymin)--(i,ymax)),xpen(i)); + if(i%10 == 0) { + label(pic,string(i),t*(i,ymin),align=S); + label(pic,string(i),t*(i,ymax),align=N); + } + } + for(int j=ymin; j <= ymax; ++j) { + draw(pic,t*((xmin,j)--(xmax,j)),ypen(j)); + if(j%10 == 0) { + label(pic,string(j),t*(xmin,j),align=W); + label(pic,string(j),t*(xmax,j),align=E); + } + } + + if(xmin < 0) + xmin=0; + if(xmax >= width) + xmax=width-1; + if(ymin < 0) + ymin=0; + if(ymax >= height) + ymax=height-1; + + int stitchCount=0; + path box=scale(cell) *((0,0)--(1,0)--(1,1)--(0,1)--cycle); + for(int i=xmin; i < xmax; ++i) + for(int j=ymin; j < ymax; ++j) { + int v=values[i][j]; + add(pic,icons[v],(i*cell,j*cell)); + //fill(pic,shift(i*cell,j*cell)*box,colors[v]); + if(v != 0) + ++stitchCount; + } + + write("stitch count: ",stitchCount); + + // shipout("xstitch"+string(shipoutNumber),pic); + shipout(pic); + ++shipoutNumber; +} + +//drawSection(-1,width+1,-1,height+1); + + +//drawSection(-1,80,height-80,height+1); +//drawSection(70,150,height-80,height+1); +drawSection(quotient(width,2)-40,quotient(width,2)+40,quotient(height,2)-40,quotient(height,2)+40); +//drawSection(width-150,width-70,-1,80); +//drawSection(width-80,width+1,-1,80); diff --git a/Master/texmf-dist/doc/asymptote/examples/xxsq01.asy b/Master/texmf-dist/doc/asymptote/examples/xxsq01.asy new file mode 100644 index 00000000000..23a38393a94 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/xxsq01.asy @@ -0,0 +1,30 @@ +import graph3; +import solids; +size(0,150); +currentprojection=perspective(0,0,10,up=Y); + +pen color=green; +real alpha=250; + +real f(real x) {return x^2;} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} + +path p=graph(F,0,1,n=10,operator ..)--cycle; +path3 p3=path3(p); + +revolution a=revolution(p3,X,-alpha,0); +render render=render(compression=0,merge=true); +draw(surface(a),color,render); +surface s=surface(p); +draw(s,color,render); +draw(rotate(-alpha,X)*s,color,render); + +draw(p3,blue); + +xaxis3(Label("$x$",1),xmax=1.25,dashed,Arrow3); +yaxis3(Label("$y$",1),Arrow3); +dot(Label("$(1,1)$"),(1,1,0),X+Y); +arrow("$y=x$",(0.7,0.7,0),Y,0.75cm,red); +arrow("$y=x^2$",F3(0.7),X,0.75cm,red); +draw(arc(1.1X,0.3,90,90,3,-90),Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/xxsq01x-1.asy b/Master/texmf-dist/doc/asymptote/examples/xxsq01x-1.asy new file mode 100644 index 00000000000..6d645a49664 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/xxsq01x-1.asy @@ -0,0 +1,35 @@ +import graph3; +import solids; +size(300); +currentprojection=perspective(0,2,10,up=Y); +currentlight=Viewport; + +pen color=green; + +real f(real x) {return x^2;} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} + +path p=graph(F,0,1,n=10,operator ..)--cycle; +path3 p3=path3(p); + +revolution a=revolution(-X,p3,Y,0,180); +render render=render(merge=true); +draw(surface(a),color); +surface s=surface(p); +draw(s,color); +transform3 t=shift(-2X)*rotate(180,Y); +draw(t*s,color); +draw(p3); +draw(t*p3); + +draw((-1,0,0)--(-1,1,0),dashed); +xaxis3(Label("$x$",1),Arrow3); +yaxis3(Label("$y$",1),Arrow3); +dot(Label("$(1,1)$"),(1,1,0)); +dot(Label("$(-1,1)$"),(-1,1,0),W); +arrow("$y=x^{2}$",F3(0.7),X,1cm,red); +arrow("$y=x$",(0.3,0.3,0),X,1.5cm,red); +draw(circle((-1,1,0),2,Y),dashed); +draw((-1,1,0)--(1,1,0),dashed); +draw(shift(-X)*arc(0.02Y,0.3,90,0,0,0,CW),Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/xxsq01y.asy b/Master/texmf-dist/doc/asymptote/examples/xxsq01y.asy new file mode 100644 index 00000000000..770f4fc22cf --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/xxsq01y.asy @@ -0,0 +1,34 @@ +import solids; +size(0,150); +currentprojection=perspective(0,0,10,up=Y); +pen color=green; +real alpha=240; + +real f(real x) {return x^2;} +pair F(real x) {return (x,f(x));} +triple F3(real x) {return (x,f(x),0);} + +path p=graph(F,0,1,n=10,operator ..)--cycle; +path3 p3=path3(p); + +render render=render(compression=0,merge=true); + +draw(surface(revolution(p3,Y,0,alpha)),color,render); + +surface s=surface(p); +draw(s,color,render); +draw(rotate(alpha,Y)*s,color,render); + +draw(p3,blue); + +xaxis3(Label("$x$",1),Arrow3); +yaxis3(Label("$y$",1),ymax=1.25,dashed,Arrow3); + +dot("$(1,1)$",(1,1,0),X); +arrow("$y=x^{2}$",F3(0.7),X,0.75cm,red); +arrow("$y=x$",(0.8,0.8,0),Y,1cm,red); + +real r=0.4; +draw((r,f(r),0)--(r,r,0),red); +draw("$r$",(0,(f(r)+r)*0.5,0)--(r,(f(r)+r)*0.5,0),N,red,Arrows3,PenMargins3); +draw(arc(1.1Y,0.3,90,0,7.5,180),Arrow3); diff --git a/Master/texmf-dist/doc/asymptote/examples/yingyang.asy b/Master/texmf-dist/doc/asymptote/examples/yingyang.asy new file mode 100644 index 00000000000..68b0d0eea74 --- /dev/null +++ b/Master/texmf-dist/doc/asymptote/examples/yingyang.asy @@ -0,0 +1,7 @@ +size(0,25cm); +guide center=(0,1){W}..tension 0.8..(0,0){(1,-.5)}..tension 0.8..{W}(0,-1); + +draw((0,1)..(-1,0)..(0,-1)); +filldraw(center{E}..{N}(1,0)..{W}cycle); +unfill(circle((0,0.5),0.125)); +fill(circle((0,-0.5),0.125)); |