File:E1eAuMap600.jpg

#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 std::complex<double> z_type;
#define Re(x) x.real()
#define Im(x) x.imag()
#define I z_type(0.,1.)
//#include "e1egf.cin"
#include "e1eti.cin"
#include "conto.cin"
int main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
 int M=501,M1=M+1;
 int N=601,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
//E1E Growung Funciton
//FILE *o;o=fopen("e1eti.eps","w");ado(o,402,302);
FILE *o;o=fopen("e1eatemap.eps","w");ado(o,402,302);
fprintf(o,"101 151 translate\n 10 10 scale\n");
//DO(m,M1) X[m]=-10.+.08*(m-.5);
DO(m,M1) X[m]=-10.+.055*(m-.5);
DO(n,N1) Y[n]=-15.+.05*(n-.5);
for(m=-10;m<31;m++){ //if(m==0){ M(m,-10.2)L(m,10.2)} else
                                { M(m,-15)L(m,15) }}
for(n=-15;n<16;n++){ M(-10,n)L(30,n)}
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("run at x=%6.3f\n",x);
DO(n,N1){y=Y[n]; z=z_type(x,y);
        c=E1ETI(z);
// c=E1EGF(z);
// d=z;
// p=abs(c-d)/abs(c+d); p=-log(p)/log(10.);
        p=Re(c); q=Im(c);
// if(p>-85 && p<85) g[m*N1+n]=p;
        if(p>-33 && p<33 && fabs(p)> 1.e-6 &&
// fabs(p-1.)>1.e-8 &&
                fabs(p+3.)>1.e-8 &&
          q >-33 && q<33 && fabs(q)> 1.e-8) { g[m*N1+n]=p; f[m*N1+n]=q; }
        }}

fprintf(o,"1 setlinejoin 1 setlinecap\n");
p=.6;q=.3;
//#include"plofu.cin"
//p=2;q=1;
for(m=-19;m<19;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<29;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<29;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<20;m++) conto(o,f,w,v,X,Y,M,N,(0.-m),-p,p);fprintf(o,".07 W .8 0 0 RGB S\n");
for(m= 1;m<20;m++) conto(o,f,w,v,X,Y,M,N,(0.+m),-p,p);fprintf(o,".07 W 0 0 .8 RGB S\n");
                   conto(o,f,w,v,X,Y,M,N,(0. ),-p,p);fprintf(o,".07 W .5 0 .5 RGB S\n");
for(m=-31;m<32;m++)conto(o,g,w,v,X,Y,M,N,(0.+m),-p,p);fprintf(o,".07 W 0 0 0 RGB S\n");


/*
fprintf(o,"0 setlinecap\n");
M(-2,0)L(-8,0) fprintf(o,".08 W 1 1 1 RGB S\n");
DO(m,16){M(-2-.4*(m),0)L(-2-.4*(m+.5),0)} fprintf(o,".09 W 0 0 0 RGB S\n");
*/
fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
        system("epstopdf e1eatemap.eps");
        system( "open e1eatemap.pdf"); //mac
// system( "xpdf e1eti.pdf"); // linux
getchar(); system("killall Preview");// mac
}

#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 std::complex<double> z_type;
#define Re(x) x.real()
#define Im(x) x.imag()
#define I z_type(0.,1.)
//#include "e1egf.cin"
#include "e1egi.cin"
#include "conto.cin"
int main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
 int M=501,M1=M+1;
 int N=601,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
//E1E Growing Funciton
//FILE *o;o=fopen("e1egi.eps","w");ado(o,402,302);
FILE *o;o=fopen("e1eauexpmap.eps","w");ado(o,402,302);
fprintf(o,"101 151 translate\n 10 10 scale\n");
DO(m,M1) X[m]=-10.+.08*(m-.5);
DO(n,N1) Y[n]=-15.+.05*(n-.5);
for(m=-10;m<31;m++){ //if(m==0){ M(m,-10.2)L(m,10.2)} else
                                { M(m,-15)L(m,15) }}
for(n=-15;n<16;n++){ M(-10,n)L(30,n)}
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("run at x=%6.3f\n",x);
DO(n,N1){y=Y[n]; z=z_type(x,y);
        c=E1EGI(z);
// c=E1EGF(z);
// d=z;
// p=abs(c-d)/abs(c+d); p=-log(p)/log(10.);
        p=Re(c); q=Im(c);
// if(p>-85 && p<85) g[m*N1+n]=p;
        if(p>-33 && p<33 && fabs(p)> 1.e-9 && fabs(p-1.)>1.e-9 &&
          q >-33 && q<33 && fabs(q)> 1.e-9) { g[m*N1+n]=p; f[m*N1+n]=q; }
        }}

fprintf(o,"1 setlinejoin 1 setlinecap\n");
p=1.4;q=.6;
//#include"plofu.cin"
//p=2;q=1;
for(m=-19;m<19;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<29;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<29;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<20;m++) conto(o,f,w,v,X,Y,M,N,(0.-m),-p,p);fprintf(o,".07 W .8 0 0 RGB S\n");
for(m= 1;m<20;m++) conto(o,f,w,v,X,Y,M,N,(0.+m),-p,p);fprintf(o,".07 W 0 0 .8 RGB S\n");
                   conto(o,f,w,v,X,Y,M,N,(0. ),-p,p);fprintf(o,".07 W .5 0 .5 RGB S\n");
for(m=-31;m<32;m++)conto(o,g,w,v,X,Y,M,N,(0.+m),-p,p);fprintf(o,".07 W 0 0 0 RGB S\n");



fprintf(o,"0 setlinecap\n");
M(M_E,0)L(-10,0) fprintf(o,".08 W 1 1 1 RGB S\n");
DO(m,36){M(M_E-.4*(m),0)L(M_E-.4*(m+.5),0)} fprintf(o,".09 W 1 0 1 RGB S\n");

fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
        system("epstopdf e1eauexpmap.eps");
        system( "open e1eauexpmap.pdf"); //mac
// system( "xpdf e1egi.pdf"); // linux
getchar(); system("killall Preview");// mac
}

\documentclass[12pt,a4paper,oneside]{book}
%\newcommand \EN[1] {{#1}} % make the English version
\newcommand \EN[1] {{}} % suppress the English version
\newcommand \RU[1] {{#1}} % make the Russian version (in this document not supported)
%\newcommand \RU[1] {{}} % suppress the Russian version
%The Japanese version is not yet supported. While \JP is used to suppress several lines at once.
\newcommand \JP[1] {{}} % ореsuppress some text
%\usepackage[space]{cite }% If exist.
\usepackage[utf8]{inputenc}
\usepackage[T2A]{fontenc}
\usepackage[russian]{babel}
\usepackage{latexsym,amsmath,amssymb,amsbsy,graphicx}

\usepackage{rotating}
\usepackage{hyperref}
\usepackage{wrapfig}
\usepackage{geometry}
%\renewcommand\baselinestretch{.94}
%\renewcommand\baselinestretch{.94}
%\renewcommand\baselinestretch{1.15}
%\renewcommand\baselinestretch{1.2}
%\renewcommand\baselinestretch{1.2}

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\paperheight 226mm
%\textwidth 175mm
\textwidth 150mm
%\oddsidemargin 5mm
%\oddsidemargin -72pt
\oddsidemargin -54pt
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\topmargin -110pt
\textheight 267mm
\pagestyle{empty}
\large
\usepackage{color}
\definecolor{rose}{rgb}{1,.9,1}
\renewcommand\thesection{\arabic{section}}
\renewcommand\figurename{Рис.}
%\renewcommand\refname{References}
%\renewcommand\figurename{Fig.}
\newcommand \be {\begin{eqnarray}}
\newcommand \ee {\end{eqnarray} }
\newcommand \sx {\scalebox}
\newcommand \rme {{\rm e}} %%makes the base of natural logarithms Roman font
%\newcommand \rme {{e}} %%makes the base of natural logarithms Italics font; choose one of these
\newcommand \rmi {{\rm i}} %%imaginary unity is always roman font
\newcommand \ds {\displaystyle}
\newcommand \bN {\mathbb{N}}
\newcommand \bC {\mathbb{C}}
\newcommand \bR {\mathbb{R}}
\newcommand \cO {\mathcal{O}}
\newcommand \cF {\mathcal{F}}
\newcommand \rot {\begin{rotate}}
\newcommand \ero {\end{rotate}}
\newcommand \nS {\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!}
\newcommand \pS {{~}~{~}}
\newcommand \fac {\mathrm{Factorial}}
\newcommand {\rf}[1] {(\ref{#1})}
\newcommand{\iL}[1] {~\label{#1}\pS \rm[#1]\nS} %make the labels visible
%\newcommand{\iL}[1] {\label{#1}} %make the labels invisible; choose one of these options
\newcommand \eL[1] {\iL{#1}\ee}
\newcommand \ing \includegraphics
\newcommand \tet {\mathrm{tet}}
\parindent 0pt
\begin{document}
\parindent 0pt
\newcommand \figaxe {
\put( -6,298){\sx{1}{$y$}}
%\put( -11,289){\sx{1}{$14$}}
\put( -11,269){\sx{1}{$12$}}
\put( -11,249){\sx{1}{$10$}}
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\put(-17,129){\sx{1}{$-2$}}
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\put(-17, 69){\sx{1}{$-8$}}
\put(-21, 49){\sx{1}{$-10$}}
\put(-21, 29){\sx{1}{$-12$}}
\put(-21, 9){\sx{1}{$-14$}}
%\put(-13, 79){\sx{1}{$-6$}}
\put(398,-7.5){\sx{1}{$x$}}
\put(377,-8){\sx{.9}{$28$}}
\put(357,-8){\sx{.9}{$26$}}
\put(337,-8){\sx{.9}{$24$}}
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\put( 99,-8){\sx{.9}{$0$}}
\put( 73,-8){\sx{.9}{$-2$}}
\put( 53,-8){\sx{.9}{$-4$}}
\put( 33,-8){\sx{.9}{$-6$}}
\put( 13,-8){\sx{.9}{$-8$}}
}
%\hskip -28pt
%\vskip 18pt
\sx{1.}{\begin{picture}(415,310)
% \put(0,0){\ing{e1eti} } % suppress to boost
 \put(0,0){\ing{e1eatemap} } % suppress to boost
 \figaxe
 \put(10,233){\sx{1.4}{$v\!=\!0$}}
 \put(142,245){\sx{1.}{$u\!=\!-3$}}
 \put(142,225){\sx{1.}{$u\!=\!-3$}}
 \put(10,192){\sx{1.6}{$u\!=\!-2$}}
 \put(10,147){\sx{1.6}{$v\!=\!0$}}
 \put(10,108){\sx{1.6}{$u\!=\!-2$}}
 \put(10, 61){\sx{1.6}{$v\!=\!0$}}
 \put(142, 72){\sx{1.}{$u\!=\!-3$}}
 \put(142, 52){\sx{1.}{$u\!=\!-3$}}
 \put(229,290){\sx{1.4}{\bf complicated structure}}
 \put(250,230){\sx{1.5}{$G_1(x\!+\!\rmi y) \approx -3$}}
 \put(229,148){\sx{1.4}{\bf complicated structure}}
 \put(250,60){\sx{1.6}{$G_1(x\!+\!\rmi y) \approx -3$}}
 \put(229,5){\sx{1.4}{\bf complicated structure}}
 \end{picture}}
 \vskip 8pt
 \sx{1.}{\begin{picture}(415,320)
 \put(0,0){\ing{e1egi} } % suppress below to boost
 \figaxe
 \put( 4,220){\sx{1.2}{$u\!=\!19$}}
 %\put(166,216){\sx{1.4}{$p\!=\!18$}}
 \put(352,276){\sx{1.2}{$v\!=\!0.2$}}
 \put(350, 26){\sx{1.2}{$v\!=\!-0.2$}}
 \put(350,186){\sx{1.2}{$u\!=\!18.4$}}
 \put(270,176){\sx{1.2}{$u\!=\!18.2$}}
 \put(233,158){\sx{1.2}{$u\!=\!18$}}
 \put( 4, 74){\sx{1.2}{$u\!=\!19$}}
% \put(166, 80){\sx{1.4}{$p\!=\!18$}}
 \put(20,186){\sx{1.2}{$v\!=\!1$}}
 \put(20,110){\sx{1.2}{$v\!=\!-1$}}
 \put(20,148.4){\sx{1.2}{\bf cut }}
 \put(377,148.4){\sx{1.1}{$v\!=\!0$}}
 \end{picture}}
%\end{center}
\end{document}