File:FilogbigT.jpg: Difference between revisions

Summary

Generator of curves

// Files ado.cin, conto.cin and filog.cin should be loaded to the working directory for the compilation of the C++ code below:

#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#define DB double
#define DO(x,y) for(x=0;x<y;x++)
using namespace std;
#include <complex>
typedef complex<double> z_type;
#define Re(x) x.real()
#define Im(x) x.imag()
#define I z_type(0.,1.)
#include "conto.cin"
#include "filog.cin"
main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
int M=400,M1=M+1;
int N=401,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("filogbig.eps","w");ado(o,2004,2004);
fprintf(o,"1002 1002 translate\n 100 100 scale\n");
DO(m,M1) X[m]=-10.+.05*(m-.2);
DO(n,200)Y[n]=-10.+.05*n;
        Y[200]=-.0001;
        Y[201]= .0001;
for(n=202;n<N1;n++) Y[n]=-10.+.05*(n-1.);
for(m=-10;m<11;m++){M(m,-10)L(m,10)}
for(n=-10;n<11;n++){M( -10,n)L(10,n)}
fprintf(o,".01 W 0 0 0 RGB S\n");
M(exp(-1.),-1)
L(exp(-1.), 1)
M(M_PI/2.,-1)
L(M_PI/2., 1)
fprintf(o,".006 W 0 0 0 RGB S\n");
DO(m,M1)DO(n,N1){g[m*N1+n]=9999; f[m*N1+n]=9999;}
DO(m,M1){x=X[m]; //printf("%5.2f\n",x);
DO(n,N1){y=Y[n]; z=z_type(x,y);        
// c=Tania(z_type(-1.,-M_PI)+log(z))/(-z); 
c=Filog(z);
p=Re(c);q=Im(c);  
if(p>-15. && p<15. &&  q>-15. && q<15. ){ g[m*N1+n]=p;f[m*N1+n]=q;}
       }}
fprintf(o,"1 setlinejoin 1 setlinecap\n");  p=3.;q=1;
for(m=-10;m<10;m++)for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N,(m+.1*n),-q, q); fprintf(o,".02 W 0 .6 0 RGB S\n");
for(m=0;m<10;m++) for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N,-(m+.1*n),-q, q); fprintf(o,".02 W .9 0 0 RGB S\n");
for(m=0;m<10;m++) for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, (m+.1*n),-q, q); fprintf(o,".02 W 0 0 .9 RGB S\n");
for(m=1;m<14;m++)  conto(o,f,w,v,X,Y,M,N, (0.-m),-p,p); fprintf(o,".1 W .9 0 0 RGB S\n");
for(m=1;m<14;m++)  conto(o,f,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".1 W 0 0 .9 RGB S\n");
                  conto(o,f,w,v,X,Y,M,N, (0.  ),-p,p); fprintf(o,".1 W .6 0 .6 RGB S\n");
for(m=-11;m<14;m++) conto(o,g,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".1 W 0 0 0 RGB S\n");
fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o);
      system("epstopdf filogbig.eps");    
     system(    "open filogbig.pdf"); //for mac
//    getchar(); system("killall Preview"); // for mac
// Copyleft 2012 by Dmitrii Kouznetsov
}

Generator of labels

For the compilation of the Latex source below, the curves of the complex map should be already generated and stored in file filogbig.pdf with the C++ code above.

\documentclass[12pt]{article} %<br> \usepackage{geometry}  %<br> \paperwidth 2074pt %<br> \paperheight 2060pt %<br> \topmargin -96pt %<br> \oddsidemargin -80pt %<br> \textwidth 2090pt %<br> \textheight 2066pt %<br> \usepackage{graphicx} %<br> \usepackage{rotating} %<br> \newcommand \rot {\begin{rotate}} %<br> \newcommand \ero {\end{rotate}} %<br> \newcommand \rme {\mathrm{e}} %<br> \newcommand \sx {\scalebox} %<br> \begin{document} %<br> \begin{picture}(2018,2040) %<br> \put(50,40){\includegraphics{filogbig}} %<br> \put(16,2024){\sx{4.3}{</math>y</math>}} %<br> \put(16,1828){\sx{4.2}{</math>8</math>}} %<br> \put(16,1628){\sx{4.2}{</math>6</math>}} %<br> \put(16,1428){\sx{4.2}{</math>4</math>}} %<br> \put(16,1228){\sx{4.2}{</math>2</math>}} %<br> \put(16,1028){\sx{4.2}{</math>0</math>}} %<br> \put(-11,828){\sx{4}{</math>-2</math>}} %<br> \put(-11,628){\sx{4}{</math>-4</math>}} %<br> \put(-11,428){\sx{4}{</math>-6</math>}} %<br> \put(-11,228){\sx{4}{</math>-8</math>}} %<br> \put(-8,0){\sx{4}{</math>-10</math>}} %<br> \put(204,0){\sx{4}{</math>-8</math>}} %<br> \put(404,0){\sx{4}{</math>-6</math>}} %<br> \put(604,0){\sx{4}{</math>-4</math>}} %<br> \put(804,0){\sx{4}{</math>-2</math>}} %<br> \put(1046,0){\sx{4}{</math>0</math>}} %<br> \put(1246,0){\sx{4}{</math>2</math>}} %<br> \put(1446,0){\sx{4}{</math>4</math>}} %<br> \put(1646,0){\sx{4}{</math>6</math>}} %<br> \put(1846,0){\sx{4}{</math>8</math>}} %<br> \put(2036,0){\sx{4.2}{</math>x</math>}} %<br> %\put(40, 2){\sx{.8}{</math>1/\rme</math>}} %<br> %\put(108, 0){\sx{1}{</math>1</math>}} %<br> %\put(164, 2){\sx{.8}{</math>\pi/2</math>}} %<br> \put(1600,1480){\sx{6}{\rot{55}</math>u\!=\!0</math> \ero} } %<br> \put(270,1240){\sx{6}{\rot{60}</math>u\!=\!0.2</math> \ero} } %<br> \put(800,1070){\sx{6}{\rot{55}</math>u\!=\!0.4</math> \ero} } %<br> \put(90,910){\sx{6}{\rot{16}</math>u\!=\!0</math> \ero} } %<br> \put(286,470){\sx{6}{\rot{70}</math>u\!=\!-0.2</math> \ero} } %<br> \put(1686,970){\sx{6}{\rot{-30}</math>u\!=\!-0.2</math> \ero} } %<br> \put(1686,610){\sx{6}{\rot{26}</math>v\!=\!0.2</math> \ero} } %<br> \put(1316,210){\sx{6}{\rot{-56}</math>v\!=\!0</math> \ero} } %<br> \put( 330,444){\sx{6}{\rot{5}</math>v\!=\!-0.4</math> \ero} } %<br> \put( 700,10){\sx{6}{\rot{56}</math>v\!=\!-0.2</math> \ero} } %<br> \end{picture} %<br> \end{document} %<br> %Copyleft 2012 by Dmitrii Kouznetsov

Licensing

   

This media, FilogbigT.jpg, is licenced under the Creative Commons Attribution 3.0 Unported License

You are free: To Share — To copy, distribute and transmit the work; To Remix — To adapt the work.
Under the following conditions: Attribution — You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
For any reuse or distribution, you must make clear to others the licence terms of this work (the best way to do this is with a link to this licence's web page). Any of the above conditions can be waived if you get permission from the copyright holder. Nothing in this licence impairs or restricts the author's moral rights.
Read the full licence.