File:CipmapT.png

Complex map of function $\mathrm{Cip}(z)=\cos(z)/z$.

C++ geberator og lines
Plotting of isolines is described with few lines below, they ahould be saved as plofu.cin in the woring directory:

q=.7; for(m=-11;m<11;m++)for(n=2;n<10;n+=2)conto(o,f,w,v,X,Y,M,N,(m+.1*n),-q, q); fprintf(o,".01 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,".01 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,".01 W 0 0 .9 RGB S\n"); for(m=1;m<11;m++) conto(o,f,w,v,X,Y,M,N, (0.-m),-p,p); fprintf(o,".03 W .9 0 0 RGB S\n"); for(m=1;m<11;m++) conto(o,f,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".03 W 0 0 .9 RGB S\n"); conto(o,f,w,v,X,Y,M,N, (0. ),-p,p); fprintf(o,".03 W .6 0 .6 RGB S\n"); for(m=-9;m<10;m++) conto(o,g,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".03 W 0 0 0 RGB S\n");

Also, files ado.cin and conto.cin should be loaded in the working directory for the compilation of the code below.

using namespace std; typedef complex z_type;
 * 1) include 
 * 2) include 
 * 3) define DB double
 * 4) define DO(x,y) for(x=0;x<y;x++)
 * 1) include
 * 1) define Re(x) x.real
 * 2) define Im(x) x.imag
 * 3) define I z_type(0.,1.)
 * 4) include "conto.cin"

//#include "acip.cin"

main{ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d; int M=401,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("cipmap.eps","w");ado(o,82,82); fprintf(o,"41 41 translate\n 10 10 scale\n"); //DO(m,M1) X[m]=-4.+.02*(m-.5); DO(n,200)Y[n]=-4.+.02*n; Y[200]=-.002; Y[201]= .002; for(n=202;n-99. && p<99.       &&     q>-99. && q<99        ) {g[m*N1+n]=p; f[m*N1+n]=q; }                      }}

//#include "plodi.cin"
 * 1) include "plofu.cin"

/* DB x1=-0.33650841691839534; DB y1= 1.55; M(-4.02,0)L(x1,0) M(0,-4.02)L(0,-y1) M(0,y1)L(0,4.02) fprintf(o,"0 setlinecap .028 W .9 1 .9 RGB S\n"); DO(m,37){x=x1-.1*m; M(x,0) L(x-.05,0)} DO(n,25){y=-y1-.1*n; M(0,y) L(0,y-.05)} DO(n,25){y=y1+.1*n; M(0,y) L(0,y+.05)} fprintf(o,".032 W 0 0 0 RGB S\n"); */ fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o); system("epstopdf cipmap.eps"); system(   "open cipmap.pdf"); getchar; system("killall Preview");//for mac }

Latex generator of labels
For the compilation of the code below, file cipmap.pdf is supposed to be generated with the code above and stored in the working directory.

% \documentclass[12pt]{article} % \paperheight 838px % \paperwidth 844px % \textwidth 1294px % \textheight 1200px % \topmargin -80px % \oddsidemargin -80px % \usepackage{graphics} % \usepackage{rotating} % \newcommand \sx {\scalebox} % \newcommand \rot {\begin{rotate}} % \newcommand \ero {\end{rotate}} % \newcommand \ing {\includegraphics} % \newcommand \rmi {\mathrm{i}} % \begin{document} % \newcommand \zoomax { % \put(16,820){\sx{4.4}{$y$}} % \put(16,630){\sx{4}{$2$}} % \put(16,430){\sx{4}{$0$}} % \put(-4, 230){\sx{4}{$-\!2$}} % \put(220, 5){\sx{4}{$-\!2$}} % \put(443, 5){\sx{4}{$0$}} % \put(643, 5){\sx{4}{$2$}} % \put(831,6){\sx{4}{$x$}} % } % \parindent 0pt % %\sx{8}{\begin{picture}(86,86) \put(0,0){\ing{b271t0}} % \begin{picture}(816,816) % \put(40,30){\sx{10}{\ing{cipmap}}} % \zoomax % %\put(80,402){\sx{2.6}{\rot{90}$u\!=\!0.2$\ero}} % \put(400,650){\sx{3}{$v\!=\!-2$}} % \put(450,533){\sx{3}{\rot{90}$u\!=\!0$\ero}} % % \put(80,432){\sx{3}{\rot{0}$v\!=\!0$\ero}} % \put(177,402){\sx{3}{\rot{90}$v\!=\!0$\ero}} % %\put(250,400){\sx{2.6}{\rot{90}$u\!=\!0.2$\ero}} % \put(300,400){\sx{3}{\rot{90}$u\!=\!0$\ero}} % \put(626,406){\sx{3}{\rot{90}$u\!=\!0$\ero}} % \put(730,406){\sx{3}{\rot{90}$v\!=\!0$\ero}} % \put(760,431){\sx{3}{\rot{00}$v\!=\!0$\ero}} % % \put(320,260){\sx{3}{\rot{60}$v\!=\!1$\ero}} % \put(600,256){\sx{3}{\rot{5}$u\!=\!-1$\ero}} % \put(210,270){\sx{3}{\rot{-5}$u\!=\!1$\ero}} % \put(410,230){\sx{3}{$v\!=\!2$}} % \put(410,160){\sx{3}{$v\!=\!3$}} % \end{picture} % \end{document} % %