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// Code for the right hand side part of the figure 
// For compillation, this code needs also the graphical rootines
// ContourPlot/code/ado.cin (function that makes header of the eps file)
// ContourPlot/code/conto.cin (function which draws a level)
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#define DB double
#define DO(x,y) for(x=0;x<y;x++)
#include <complex.h>
#define z_type complex<double>
#define Re(x) x.real()
#define Im(x) x.imag()
#define I z_type(0.,1.)
z_type F4(z_type z1) { int K=66,k;
z_type z=1.-z1;
z_type s=0.;
z_type t=1;
for(k=0;k<=21;k++) { s+=t; t*=z; }
return s;
}
#include "conto.cin"
main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d, cu,cd;
int M=250,M1=M+1;
int N=200,N1=N+1;
DB X[M1],Y[N1], g[M1*N1],f[M1*N1], w[M1*N1]; // w is working array.
char v[M1*N1]; // v is working array
FILE *o;o=fopen("TaylorExampleZ.eps","w");ado(o,0,0,504,504);
fprintf(o,"202 202 translate\n 100 100 scale\n");
DO(m,M1) X[m]=-2+.02*m;
DO(n,N1) Y[n]=-2+.02*n;
for(m=-2;m<3;m++) { if(m==0){M(m,-2.1)L(m,2.1)}
else {M(m,-2)L(m,2)} }
for(n=-2;n<3;n++) {M( -2,n)L(2,n)} fprintf(o,".002 W 0 0 0 RGB S\n");
z_type F[M1*N1];
DO(m,M1)DO(n,N1){ g[m*N1+n]=9999;
f[m*N1+n]=9999; }
for(m=0;m<M1;m++){x=X[m];
DO(n,N1) { y=Y[n]; z=z_type(x,y);
c=F4natu(z); F[m*N1+n]=c;
}
}
DO(m,M1)
DO(n,N1){ c=(F[m*N1+n]); p=Re(c); q=Im(c);
if(p>-999 && p<999) g[m*N1+n]=p;
if(q>-999 && q<999) f[m*N1+n]=q;
}
p=4;q=4;
conto(o,f,w,v,X,Y,M,N, ( -3 ),-q,q); fprintf(o,".004 W 1 0 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-2. ),-q,q); fprintf(o,".004 W 1 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, (-2.+.1*n),-p,p); fprintf(o,".002 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (-1. ),-q,q); fprintf(o,".004 W 1 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, (-1.+.1*n),-p,p); fprintf(o,".002 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, (0. ),-q,q); fprintf(o,".004 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, ( .1*n),-p,p); fprintf(o,".002 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 1. ),-q,q); fprintf(o,".004 W 0 0 1 RGB S\n");
for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N, ( 1.+.1*n),-p,p); fprintf(o,".002 W 0 1 0 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 2. ),-q,q); fprintf(o,".004 W 0 0 1 RGB S\n");
conto(o,f,w,v,X,Y,M,N, ( 3 ),-q,q); fprintf(o,".004 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, (-3. ),-p,p); fprintf(o,".004 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, (-2. ),-p,p); fprintf(o,".004 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, (-2.+.1*n),-p,p); fprintf(o,".002 W 1 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, (-1. ),-q,q); fprintf(o,".004 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, (-1.+.1*n),-p,p); fprintf(o,".002 W 1 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, (0. ),-q,q); fprintf(o,".004 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, ( .1*n),-p,p); fprintf(o,".002 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, ( 1. ),-q,q); fprintf(o,".004 W 0 0 0 RGB S\n");
for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, ( 1.+.1*n),-p,p); fprintf(o,".002 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N, ( 2. ),-p,p); fprintf(o,".004 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, ( 3. ),-p,p); fprintf(o,".004 W 0 0 0 RGB S\n");
fprintf(o,"showpage\n\%\%\%Trailer"); fclose(o);
// system( "ggv TaylorExampleZ.eps &"); //for linux
system("open TaylorExampleZ.eps"); //for macintosh
system("ps2pdf TaylorExampleZ.eps");
getchar(); system("killall Preview"); //for macintosh
}
