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Asymptote Generalities – fig0160

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 13 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
size(1cm,1cm);
pair [] A;
A[0]=(-1, -1);
A[1]=( 1, -1);
A[2]=( 1,  1);
A[3]=(-1,  1);
draw (A[0]--A[1]--A[2]--A[3]--cycle);
draw (A[0]--A[2]);
draw (A[1]--A[3]);

Étiquettes : array, Basis, path

Comments (0)

Asymptote Generalities – fig0520

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 1 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
pen[][] p={{rgb(black)},
           {rgb(.8red)}};

latticeshade((0,0)--(0,2cm)--(2cm,0)--cycle,p);

Étiquettes : array, Fill/Unfill, path, Shading

Comments (0)

Asymptote Generalities – fig0530

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 2 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
pen[][] p={{rgb(black),rgb(black)},
           {rgb(red),rgb(green)}};

latticeshade((0,0)--(0,2cm)--(2cm,0)--cycle,p);

Étiquettes : array, Fill/Unfill, path, Shading

Comments (0)

Asymptote Generalities – fig0540

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 3 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
size(3cm,0);

pen[][] p={{rgb(white),rgb(grey),rgb(black)},
    {red,green,blue},
    {cyan,magenta,yellow}};

latticeshade(unitsquare,p);

Étiquettes : array, Fill/Unfill, Shading

Comments (0)

Asymptote Generalities – fig0550

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 4 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
size(3cm,0);
import palette;

real[][] v={{1,2},{3,4}};
pen[] Palette=Rainbow();

latticeshade(box((0,0),(1,1)),palette(v,Palette));

Étiquettes : array, Fill/Unfill, Shading

Comments (0)

Asymptote Generalities – fig0580

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 7 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
// Author: John Bowman
size(10cm,0);

real r=1;
real R=3.8;

int step=30;
path p=arc(0,r,0,step);
path P=arc(0,R,step,0);
for(int h=0; h < 360; h += step) {
  transform t=rotate(90-h);
  tensorshade(t*p--t*P--cycle,
              new pen[] {white,white,hsv(h-step,1,1),hsv(h,1,1)});
}

for(int h=0; h < 360; h += 30) {
  pair v=R*dir(90-h);
  draw(Label(string(h)+"$^\circ$",EndPoint),(v--1.05v));
}

draw(circle(0,r));
draw(circle(0,R));

Étiquettes : arc, array, Fill/Unfill, Loop/for/while, Shading, Transform

Comments (0)

Asymptote Generalities – fig0590

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 8 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
size(12cm,0);
path[] P=texpath("$\displaystyle\int_{-\infty}^{+\infty}e^{-\alpha x^2}\,dx=
\sqrt{\frac{\pi}{\alpha}}$");
pair m=min(P), M=max(P);

axialshade(P,yellow,m,red,(m.x,M.y));
draw(P,0.5*blue);
shipout(bbox(3mm,Fill));

Étiquettes : array, Fill/Unfill, Shading, tex/latex features, texpath

Comments (0)

Asymptote Generalities – fig1010

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 2 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
size(6cm,0);

picture pic;
pen [] P={.8red,.7green,blue+.5grey,yellow+.6grey};

fill(scale(10)*unitcircle,.2blue);

for (int i = 0; i <= 3; ++i)
  draw(pic, arc((0,0),10,i*90,(i+1)*90), P[i]);

for (real i = 1; i <= 10; i+=.05)
  add(rotate(90*i)*scale(1/i)*pic);

Étiquettes : array, Circle, Fill/Unfill, picture, Transform

Comments (0)

Asymptote Generalities – fig1550

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 8 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
//Translate from http://zoonek.free.fr/LaTeX/Metapost/metapost.html
size(0,0);

pair [] P, Q, R, S;
real u=1cm;

for (int i=0; i<=4; ++i)
  P[i] = rotate(i*360/5)*(0,-u);

P[5] = P[0];
for (int i=0; i<=4; ++i)
  Q[i] = 3*midpoint(P[i]--P[i+1]);

Q[5] = Q[0];
for (int i=0; i<=4; ++i)
  R[i] = 1/3*( Q[i] + Q[i+1] + P[i+1] );

R[5] = R[0];
for (int i=0; i<=5; ++i)
  S[i] = 1.5*Q[i];

for (int i=0; i<=4; ++i)
  {
    draw(P[i]   -- P[i+1]);
    draw(P[i+1] -- R[i]);
    draw(Q[i]   -- R[i]);
    draw(R[i]   -- Q[i+1]);
    draw(Q[i]   -- S[i]);
    draw(S[i]   -- S[i+1]);
    label(format("\small$P_%i$",i),P[i],-unit(P[i]));
    label(format("\small$Q_%i$",i),Q[i],rotate(60)*unit(Q[i]));
    label(format("\small$R_%i$",i),R[i],unit(R[i]));
    label(format("\small$S_%i$",i),S[i],unit(S[i]));
  }

Étiquettes : array, Direction, Label, Loop/for/while, path

Comments (0)

Asymptote Generalities – fig1560

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 9 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
//Translate from http://zoonek.free.fr/LaTeX/Metapost/metapost.html
size(0,0);

pair [] P, Q, R, S;
real u=1cm;

for (int i=0; i<=4; ++i)
  P[i] = rotate(i*360/5)*(0,-u);

P[5] = P[0];
for (int i=0; i<=4; ++i)
  Q[i] = 3*midpoint(P[i]--P[i+1]);

Q[5] = Q[0];
for (int i=0; i<=4; ++i)
  R[i] = 1/3*( Q[i] + Q[i+1] + P[i+1] );

R[5] = R[0];
for (int i=0; i<=5; ++i)
  S[i] = 1.5*Q[i];

for (int i=0; i<=4; ++i)
  {
    draw(P[i]   -- P[i+1]);
    draw(P[i+1] -- R[i]);
    draw(Q[i]   -- R[i]);
    draw(R[i]   -- Q[i+1]);
    draw(Q[i]   -- S[i]);
    draw(S[i]   -- S[i+1]);
  }

draw(P[2] -- P[3] -- P[4] -- P[0] -- P[1] --
     R[0] -- Q[0] -- R[4] -- Q[4] -- R[3]
     -- Q[3] -- R[2] -- Q[2] --
     S[2] -- S[3] -- S[4] -- S[0] -- S[1] --
     Q[1] -- R[1] -- cycle,
     linewidth(2bp));

Étiquettes : array, Loop/for/while, path

Comments (0)

Asymptote Generalities – fig1570

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 10 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
size(0,0);

pair [] P, Q, R, S;
real u=1cm;

for (int i=0; i<=4; ++i)
  P[i] = rotate(i*360/5)*(0,-u);

P[5] = P[0];
for (int i=0; i<=4; ++i)
  Q[i] = 3*midpoint(P[i]--P[i+1]);

Q[5] = Q[0];
for (int i=0; i<=4; ++i)
  R[i] = 1/3*( Q[i] + Q[i+1] + P[i+1] );

R[5] = R[0];
for (int i=0; i<=5; ++i)
  S[i] = 1.5*Q[i];

fill(shift(-abs(S[0]),-abs(S[0]))*scale(2*abs(S[0]))*unitsquare,.2grey);

radialshade(scale(abs(S[0]))*unitcircle,lightgrey,(0,0),abs(S[0]),
            black,(0,0),abs(.85*midpoint(S[0]--S[1])));

P[6]=P[1];
for (int i=0; i<=4; ++i)
  {
    radialshade(S[i]--Q[i]--R[i]--Q[i+1]--S[i+1]--cycle,
                lightgrey,(0,0),abs(R[i]),
                black,(0,0),abs(S[i]));
    radialshade(R[i]--Q[i+1]--R[i+1]--P[i+2]--P[i+1]--cycle,
                .8red,(0,0),sqrt(1-(2-2cos(pi/5))/4)*u,
                black,(0,0),abs(Q[i+1]));
  }

for (real i=1; i>0; i-=.05)
  fill(rotate(90*(1-i))*scale(i)*(P[0]--P[1]--P[2]--P[3]--P[4]--cycle),
       (1-i)*red);

pen p=linewidth(1pt);
for (int i=0; i<=4; ++i)
  {
    draw(P[i]   -- P[i+1],p);
    draw(P[i+1] -- R[i],p);
    draw(Q[i]   -- R[i],p);
    draw(R[i]   -- Q[i+1],p);
    draw(Q[i]   -- S[i],p);
    draw(S[i]   -- S[i+1],p);
  }

shipout(bbox(0,black+4mm));

Étiquettes : array, Fill/Unfill, Loop/for/while, Shading

Comments (0)

Asymptote Generalities – fig1860

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 15 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
// Venn diagram // Diagramme de Venn
// Edwards' construction // Construction d'Edwards
import roundedpath;
size(10cm,0);
path [] EdVenn(int n)
{
  path [] opath;
  if (n>=1)
    opath.push(shift(-1.4,-.9)*roundedpath(xscale(2.8)*yscale(.9)*unitsquare,.1));
  if (n>=2)
    opath.push(shift(0,-.9)*roundedpath(xscale(1.4)*yscale(1.8)*unitsquare,.1));
  if (n>=3)
    opath.push(scale(.5)*unitcircle);
  for (int i=1; i<=n-3; ++i)
    {
      pair pcle=point(opath[2],1/(2^i)),
        ccle=intersectionpoint(pcle--(pcle-dir(opath[2],1/(2^i))), (0,0)--(1,0));
      path cle=shift(ccle)*scale(abs(pcle-ccle))*unitcircle;
      real[] p1=intersect(cle, opath[2]);
      path ocle=subpath(cle,-p1[0],p1[0]);
      guide tpath;
      real step=360/(2^i), a=0;
      for (int j=0; j<2^i; ++j)
        {
          tpath=tpath..rotate(a)*ocle;
          a+=step;
        }
      opath.push(tpath..cycle);      
    }
    return opath;
}

draw(EdVenn(6));

Étiquettes : array, Function (creating), path, Venn diagram

Comments (0)

Asymptote Generalities – fig1890

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 18 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
size(6cm,0);
path [] c;

c[1] = xscale(2)*unitcircle;
c[2] = shift((0,1))*c[1];
draw(c[1]^^c[2]);
draw(buildcycle(c[1],c[2]), .8red+4bp);

Étiquettes : array, Basis, buildcycle, Circle, Intersection, path, Transform

Comments (0)

Asymptote Generalities – fig1900

Category: Asymptote,Examples 2D,Generalities — Ph. Ivaldi @ 19 h 39 min



(Compiled with Asymptote version 2.14svn-r5318)

    
//Translate from http://zoonek.free.fr/LaTeX/Metapost/metapost.html
size(6cm,0);

path a,b,c,d;
a = (-1,-.2){up} .. tension 1.2 .. (1,-.2){down};
transform r90=rotate(90);
b = r90*a;
c = r90*b;
d = r90*c;
path bound=buildcycle(a,b,c,d);
fill(bound, lightgrey);
draw(a^^b^^c^^d,grey);
draw(bound);

Étiquettes : array, Basis, buildcycle, Fill/Unfill, Intersection, path, Transform

Comments (0)

Asymptote using graph.asy – fig0260

Category: Asymptote,Examples 2D,graph.asy — Ph. Ivaldi @ 3 h 10 min



(Compiled with Asymptote version 2.14svn-r5318)

    
size(10cm,0);
import contour;
import stats;
import graph;

xlimits( -5, 5);  
ylimits( -4, 5);  
yaxis( "$y$" , Ticks(Label(currentpen+fontsize(8),align=E)));
xaxis( "$x$", Ticks(Label(currentpen+fontsize(8))));

real f(real x, real y) {return x^2-x-y^2+3y-6;}

int min=-5,
  max=5,
  n=max-min+1;

real[] value=sequence(min,max);

pen[] p=sequence(new pen(int i) {
    return (value[i] >= 0 ? solid : dashed) + 
    (value[i] >= 0 ? (value[i]/max)*red : (value[i]/min)*blue) + 
    fontsize(4);
  },n);

Label[] Labels=sequence(new Label(int i) {
    return Label(value[i] != 0 ? (string) value[i] : "",Relative(unitrand()),(0,0),
                 UnFill(1bp));
  },n);

draw(Labels,contour(f,(-5,-5),(5,5),value),p);

Étiquettes : array, contour, Function (graphing), Function (implicit), Graph, hyperbola

Comments (0)

Asymptote using graph3.asy – fig0100

Category: Asymptote,Examples 3D,graph3.asy — Ph. Ivaldi @ 12 h 11 min



(Compiled with Asymptote version 1.92svn-r4817)

    
// From documentation of Asymptote
import graph;
import palette;
import contour;
texpreamble("\usepackage{icomma}");

size(10cm,10cm,IgnoreAspect);

pair a=(0,0);
pair b=(5,10);

real fz(pair z) {
  return z.x*z.y*exp(-z.x);
}
real f(real x, real y) {return fz((x,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();

scale(false);

bounds range=image(f,Automatic,a,b,N,Palette);

xaxis("$x$",BottomTop,LeftTicks(pTick=grey, ptick=invisible, extend=true));
yaxis("$y$",LeftRight,RightTicks(pTick=grey, ptick=invisible, extend=true));

// Major contours
real[] Cvals;
Cvals=sequence(11)/10 * (range.max-range.min) + range.min;
draw(contour(f,a,b,Cvals,N,operator ..),Tickpen);

// Minor contours
real[] cvals;
real[] sumarr=sequence(1,divs-1)/divs * (range.max-range.min)/Divs;
for (int ival=0; ival < Cvals.length-1; ++ival)
    cvals.append(Cvals[ival]+sumarr);
draw(contour(f,a,b,cvals,N,operator ..),tickpen);

palette("$f(x,y)=xye^{-x}$",range,point(NW)+(0,1),point(NE)+(0,0.25),Top,Palette,
        PaletteTicks(N=Divs,n=divs,Tickpen,tickpen));

Étiquettes : array, Axis, contour, Function (implicit), Graph, palette

Comments (0)

Asymptote using graph3.asy – fig0150

Category: Asymptote,Examples 3D,graph3.asy — Ph. Ivaldi @ 17 h 11 min



(Compiled with Asymptote version 2.14svn-r5318)

    
settings.render=0;
import graph3;
size(10cm);

currentprojection=orthographic(4,2,4);

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);}

pen[] pens(triple[] z)
{
  return sequence(new pen(int i) {
      real a=abs(z[i]);
      return a < 1+1e-3 ? black : interp(blue, red, 2*(a-1));
    },z.length);
}

surface s=surface(f,(0,0),(pi,2pi),100,Spline);
// Interpolate the corners, and coloring each patch with one color
// produce some artefacts
draw(s,pens(s.cornermean()));

if(!is3D())
  shipout(bbox(3mm,Fill(black)));

Étiquettes : array, Graph (3D), palette, Shading (3D), Spherical harmonics, surface

Comments (0)

Asymptote using graph3.asy – fig0160

Category: Asymptote,Examples 3D,graph3.asy — Ph. Ivaldi @ 18 h 11 min



(Compiled with Asymptote version 2.14svn-r5318)

    
settings.render=0;
import graph3;
size(10cm);

currentprojection=orthographic(4,2,4);

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);}

pen[][] pens(triple[][] z)
{
  pen[][] p=new pen[z.length][];
  for(int i=0; i < z.length; ++i) {
    triple[] zi=z[i];
    p[i]=sequence(new pen(int j) {
        real a=abs(zi[j]);
        return a < 1+1e-3 ? black : interp(blue, red, 2*(a-1));},
      zi.length);
  }
  return p;
}

surface s=surface(f,(0,0),(pi,2pi),100,Spline);
// Here we interpolate the pens, this looks smoother, with fewer artifacts
draw(s,mean(pens(s.corners())));

if(!is3D())
  shipout(bbox(3mm,Fill(black)));

Étiquettes : array, Graph (3D), palette, Shading (3D), Spherical harmonics, surface

Comments (0)

Asymptote using graph3.asy – fig0170

Category: Asymptote,Examples 3D,graph3.asy — Ph. Ivaldi @ 19 h 11 min



(Compiled with Asymptote version 2.14svn-r5318)

    
settings.render=0;
import graph3;
size(10cm);

currentprojection=orthographic(4,2,4);

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);}

pen[][] pens(triple[][] z)
{
  pen[][] p=new pen[z.length][];
  for(int i=0; i < z.length; ++i) {
    triple[] zi=z[i];
    p[i]=sequence(new pen(int j) {
        real a=abs(zi[j]);
        return a < 1+1e-3 ? black : interp(blue, red, 2*(a-1));},
      zi.length);
  }
  return p;
}

surface s=surface(f,(0,0),(pi,2pi),100,Spline);
// Here we determine the colors of vertexes (vertex shading).
// Since the PRC output format does not support vertex shading of Bezier surfaces, PRC patches
// are shaded with the mean of the four vertex colors.
s.colors(pens(s.corners()));
draw(s);

if(!is3D())
  shipout(bbox(3mm,Fill(black)));

Étiquettes : array, Graph (3D), palette, Shading (3D), Spherical harmonics, surface

Comments (0)

Asymptote using tube.asy – fig0090

Category: Asymptote,Examples 3D,tube.asy — Ph. Ivaldi @ 3 h 11 min



(Compiled with Asymptote version 2.14svn-r5318)

    
import tube;
import graph3;

size(10cm,0);
currentprojection=perspective(4,3,4);
real x(real t) {return (1/sqrt(1+0.5*t^2))*cos(2pi*t);}
real y(real t) {return (1/sqrt(1+0.5*t^2))*sin(2pi*t);}
real z(real t) {return t;}

path3 p=graph(x,y,z,0,2.7,operator ..);
path section=scale(0.2)*polygon(4);

// Define an array of pen wich depends of a real t. t represent the "reltime" of the path3 p.
pen[] pens(real t){
  return new pen[] {interp(blue,red,t),
      interp(orange,yellow,t),
      interp(green,orange,t),
      interp(red,purple,t)};
}

// "pen[] pens(real t)" allows to color each nodes or segments with a real parameter (the reltime)
// Note that all arrays of pens are convert to cyclical arrays.
draw(tube(p,coloredpath(section,
                        pens,
                        colortype=coloredNodes)));

Étiquettes : array, Graph (3D), Shading (3D), tube

Comments (0)

Fractals with Asymptote – fig0090

Category: Asymptote,Examples 2D,Fractals — Ph. Ivaldi @ 5 h 53 min



(Compiled with Asymptote version 1.87svn-r4652)

    
size(10cm,0);

real a=-1.5, b=2a/3;

picture H(pen p=currentpen) {
  picture H;
  draw(H,(-a,0)--(a,0)^^(-a,-b)--(-a,b)^^(a,-b)--(a,b),p);
  return H;
}

transform sc=scale(0.5);
transform[] t={identity(),
               shift(-a,b)*sc, shift(-a,-b)*sc,
               shift(a,b)*sc,  shift(a,-b)*sc};

picture Hfractal(int n, pen p=currentpen)
{
  picture pic;
  if(n == 0) return H(p);
  picture Ht=Hfractal(n-1,p);
  for (int i=0; i < 5; ++i) add(pic,t[i]*Ht);
  return pic;
}

add(Hfractal(4, bp+0.5*red));

Étiquettes : array, Fractals, Function (recursion), picture, Transform

Comments (0)

Fractals with Asymptote – fig0100

Category: Asymptote,Examples 2D,Fractals — Ph. Ivaldi @ 6 h 53 min



(Compiled with Asymptote version 1.87svn-r4652)

    
size(10cm,0);

real a=-1.5, b=2a/3;

path[] H=(-a,0)--(a,0)^^(-a,-b)--(-a,b)^^(a,-b)--(a,b);

transform sc=scale(0.5);
transform[] t={shift(-a,b)*sc, shift(-a,-b)*sc,
               shift(a,b)*sc,  shift(a,-b)*sc};

void Hfractal(path[] g, int n, pen[] p=new pen[]{currentpen})
{
  p.cyclic=true;
  if(n == 0) draw(H,p[0]); else {
    for (int i=0; i < 4; ++i) {
      draw(t[i]*g,p[n]);
      Hfractal(t[i]*g,n-1,p);
    }
  }
}

Hfractal(H, 5, new pen[] {0.8*red, 0.8*green, 0.8*blue, black, blue+red});

Étiquettes : array, Fractals, Function (recursion), picture, Transform

Comments (0)

Fractals with Asymptote – fig0110

Category: Asymptote,Examples 2D,Fractals — Ph. Ivaldi @ 7 h 53 min



(Compiled with Asymptote version 1.87svn-r4652)

    
/* Explanations HERE */
import geometry;
size(10cm,0);

triangle[] dissect(triangle T, int n)
{
  if(n <= 0) return new triangle[]{T};
  triangle[] OT;
  point M=midpoint(T.BC);
  triangle[] Tp=dissect(triangle(M,T.A,T.B),n-1);
  for(triangle t : Tp) OT.insert(0,t);
  triangle[] Tp=dissect(triangle(M,T.C,T.A),n-1);
  for(triangle t : Tp) OT.insert(0,t);
  return OT;
}

triangle T=rotate(45)*triangle((1,1),(0,0),(2,0));
triangle[] DT=dissect(T,9);
path g;
transform R=reflect(T.BC);

for(int i : DT.keys) {
  draw(DT[i],miterjoin+0.9*red);
  draw(R*DT[i],miterjoin+0.9*red);
  g=g--centroid(DT[i]);
}

draw(scale(sqrt(2))*unitsquare,bp+miterjoin+0.8*blue);
draw(g--reverse(R*g)--cycle,bp+miterjoin+yellow);

shipout(bbox(sqrt(2)*mm, Fill(black)));

Étiquettes : array, Fractals, Function (recursion), Geometry, Loop/for/while, triangle

Comments (0)

Fractals with Asymptote – fig0120

Category: Asymptote,Examples 2D,Fractals — Ph. Ivaldi @ 8 h 53 min



(Compiled with Asymptote version 1.87svn-r4652)

    
/* Explanations HERE */
size(12cm,0);

import geometry;

triangle T=triangleAbc(90,Tan(30),1);

triangle[] reverse(triangle[] arr)
{
  triangle[] or;
  int l=arr.length;
  for(int i=0; i < l; ++i) {
    or.push(arr[l-i-1]);
  }
  return or;
}

triangle[] dissect(triangle T, int n, bool reverse=false)
{
  if(n <= 0) return new triangle[]{T};
  triangle[] OT;

  point M=curpoint(T.AB,T.b()*Tan(30));
  point H=projection(T.BC)*M;
  triangle[] OT1, OT2, OT3;
  OT.append(dissect(triangle(H,T.B,M),n-1,!reverse));
  OT.append(reverse((dissect(triangle(H,T.C,M),n-1,!reverse))));
  OT.append(dissect(triangle(T.A,T.C,M),n-1,!reverse));
  return OT;
}

triangle[] DT=dissect(T,5);
point O=centroid(DT[0]);
path g;
transform Ro=rotate(30,T.B), Re=reflect(T.BC), Roj;

for(int i : DT.keys) {
  O=incenter(DT[i]);
  g=g--O;
}

g=reverse(g);
path G, g=g--Re*reverse(g) ;
for (int j=0; j < 12; j += 2) G=G--Ro^(-j)*g;

fill(G--cycle,0.3*blue);

for(int i : DT.keys) {
  for (int j=0; j < 12; j += 2) {
    Roj=Ro^j;
    draw(Roj*DT[i],miterjoin+0.8*red);
    draw(Roj*(Re*DT[i]),miterjoin+0.8*red);
  }
}

draw(G--cycle,bp+miterjoin+0.9*yellow);

shipout(bbox(2mm, FillDraw(black, 1mm+miterjoin+deepblue)));

Étiquettes : array, Fractals, Function (recursion), Geometry, Loop/for/while, triangle

Comments (0)

Random walk in the space – fig0010

Category: Asymptote,Examples 3D,Random Walk (3D) — Ph. Ivaldi @ 11 h 46 min



(Compiled with Asymptote version 1.84svn-r4619)

    
import three;
settings.render=0;

// The available directions of steps
triple[] dirs={X,-X,Y,-Y,Z,-Z};
dirs.cyclic=true;

// Return the nodes of the path
triple[] randWalk(real Srnd(), int n)
{
  triple[] randPath;
  triple camera=1e10*currentprojection.camera;
  triple pos=O, tpos;
  int R;
  for (int i=0; i < n; ++i) {
    R=round(Srnd());
    tpos=pos+dirs[R];
    randPath.push(tpos);
    pos=tpos;
  }
  return randPath;
}
triple[] randWalk(int Srnd(), int n)
{
  real R(){ return Srnd();}
  return randWalk(R,n);
}

void drawWalk(triple[] nodes, pen p=white)
{
  triple camera=currentprojection.camera;
  if(currentprojection.infinity)
    camera *= max(abs(minbound(nodes)),abs(maxbound(nodes)));
  real[][] depth;
  for(int i=0; i < nodes.length-1; ++i) {
    real d=abs(camera-0.5*(nodes[i]+nodes[i+1]));
    depth.push(new real[] {d,i});
  }
  depth=sort(depth);
  triple M=nodes[round(depth[0][1])];
  triple m=nodes[round(depth[depth.length-1][1]+1)];
  // Draw from farthest to nearest
  while(depth.length > 0) {
    real[] a=depth.pop();
    int i=round(a[1]);
    draw(nodes[i]--nodes[i+1],abs(nodes[i]-m)/abs(M-m)*p);
  }
}


size(18cm);
currentprojection=orthographic((1,1,1));

drawWalk(randWalk(rand,50000),cyan);
shipout(bbox(3mm,Fill));

Étiquettes : array, Function (creating), Loop/for/while, Random

Comments (0)

Official Asymptote example – filesurface

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 4 h 57 min



(Compiled with Asymptote version 2.14svn-r5318)

/* This code comes from The Official Asymptote Gallery */
    
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);

Étiquettes : array, Camera, Data, Graph (3D), palette, surface

Comments (0)

Official Asymptote example – latticeshading

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 20 h 57 min



(Compiled with Asymptote version 2.14svn-r5318)

/* This code comes from The Official Asymptote Gallery */
    
size(200);

pen[][] p={{white,grey,black},
           {red,green,blue},
           {cyan,magenta,yellow}};

latticeshade(unitsquare,p);

Étiquettes : array, Basis, Shading

Comments (0)

Official Asymptote example – lmfit1

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 6 h 57 min



(Compiled with Asymptote version 2.14svn-r5318)

/* This code comes from The Official Asymptote Gallery */
    
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);

Étiquettes : array, Axis, Data, Graph

Comments (0)

Official Asymptote example – monthaxis

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 23 h 57 min



(Compiled with Asymptote version 2.14svn-r5318)

/* This code comes from The Official Asymptote Gallery */
    
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));

Étiquettes : array, Axis, Graph

Comments (0)

Official Asymptote example – multicontour

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 2 h 57 min



(Compiled with Asymptote version 2.14svn-r5318)

/* This code comes from The Official Asymptote Gallery */
    
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);

Étiquettes : array, contour, Function (graphing), Function (implicit), Graph

Comments (0)

Official Asymptote example – secondaryaxis

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 13 h 57 min



(Compiled with Asymptote version 2.14svn-r5318)

/* This code comes from The Official Asymptote Gallery */
    
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);

Étiquettes : array, Axis, Data, Graph, picture

Comments (0)

Official Asymptote example – tensor

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 22 h 57 min



(Compiled with Asymptote version 2.14svn-r5318)

/* This code comes from The Official Asymptote Gallery */
    
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);

Étiquettes : array, path, Shading

Comments (0)

Official Asymptote example – triangulate

Category: Asymptote,Official Gallery One-Pager — Ph. Ivaldi @ 8 h 57 min



(Compiled with Asymptote version 2.14svn-r5318)

/* This code comes from The Official Asymptote Gallery */
    
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);

Étiquettes : array, Numerical Methods

Comments (0)

PIPRIME.FR

Administrateur-Développeur GNU/Linux-WEB

Asymptote Generalities – fig0160

Asymptote Generalities – fig0520

Asymptote Generalities – fig0530

Asymptote Generalities – fig0540

Asymptote Generalities – fig0550

Asymptote Generalities – fig0580

Asymptote Generalities – fig0590

Asymptote Generalities – fig1010

Asymptote Generalities – fig1550

Asymptote Generalities – fig1560

Asymptote Generalities – fig1570

Asymptote Generalities – fig1860

Asymptote Generalities – fig1890

Asymptote Generalities – fig1900

Asymptote using graph.asy – fig0260

Asymptote using graph3.asy – fig0100

Asymptote using graph3.asy – fig0150

Asymptote using graph3.asy – fig0160

Asymptote using graph3.asy – fig0170

Asymptote using tube.asy – fig0090

Fractals with Asymptote – fig0090

Fractals with Asymptote – fig0100

Fractals with Asymptote – fig0110

Fractals with Asymptote – fig0120

Random walk in the space – fig0010

Official Asymptote example – filesurface

Official Asymptote example – latticeshading

Official Asymptote example – lmfit1

Official Asymptote example – monthaxis

Official Asymptote example – multicontour

Official Asymptote example – secondaryaxis

Official Asymptote example – tensor

Official Asymptote example – triangulate