Difference between revisions of "File:Aunem10map.jpg"

From TORI
Jump to navigation Jump to search
(Importing image file)
 
 
Line 1: Line 1:
  +
[[Complex map]] of function [[AuNem]] with parameter $q\!=\!1$:
−
Importing image file
  
  +
  +
$u\!+\!\mathrm i v=\mathrm{AuNem}_1(x\!+\!\mathrm i y)$
  +
  +
==References==
  +
<references/>
  +
  +
==[[C++]] generator of the map==
  +
  +
Files
  +
[[ado.cin]],
  +
[[conto.cin]],
  +
[[arqnem.cin]],
  +
[[nembran.cin]],
  +
[[sune.cin]],
  +
[[sunemco.txt]],
  +
[[aunemco.txt]]
  +
  +
should be loaded (or generated) in order to compile the [[C++]] code below.
  +
  +
<poem><nomathjax><nowiki>
  +
#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 "conto.cin"
  +
  +
DB Q=1.;
  +
z_type nem(z_type z){ return z*(1.+z*z*(1.+z*Q)); }
  +
z_type nem1(z_type z){ return 1.+z*z*(3.+z*(4.*Q)); } // WARNING: Q is global!
  +
  +
#include "sune.cin"
  +
  +
#include"nembran.cin"
  +
z_type NemZo=nembra(Q);
  +
z_type ANemZo=nem(NemZo);
  +
DB tr=Re(ANemZo);
  +
DB ti=Im(ANemZo);
  +
  +
#include "arqnem.cin"
  +
  +
DB C[41];
  +
//DB K=Q*Q;
  +
int coa(){ //C[1]=(0.5 - K)*Q; C[2]=-0.625 + (-0.25 + K/2.)*K; ..
  +
#include "aunemco.txt"
  +
return 40;
  +
}
  +
  +
z_type aune0(z_type z){ z_type s; int n;
  +
s=C[40]*z; for(n=39;n>0;n--){s+=C[n];s*=z;}
  +
return (-.5/z+Q)/z + (1.5+K)*log(z) + (.5*K + (.75+.5*K)*log(2.)) + s ;
  +
}
  +
  +
DB AUNE1=0;
  +
  +
z_type aune1(z_type z){ int n, N=20; DO(n,N) z=arqnem(z);
  +
return aune0(z)+(0.+n);}
  +
  +
z_type aunem(z_type z){ int n, N=20; DO(n,N) z=arqnem(z);
  +
return aune0(z)+(n-AUNE1);}
  +
  +
  +
z_type aune02(z_type z){ z_type s; int n; s=(C[2]*z+C[1])*z;
  +
return (-.5/z+Q)/z + (1.5+K)*log(z) + (.5*K + (.75+.5*K)*log(2.)) + s ; }
  +
z_type aune01(z_type z){ z_type s; int n; s=C[1]*z;
  +
return (-.5/z+Q)/z + (1.5+K)*log(z) + (.5*K + (.75+.5*K)*log(2.)) +s ; }
  +
  +
int main(){ int Max; int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
  +
// DB rr,ti;
  +
co();
  +
coa();
  +
AUNE1=Re(aune1(1.));
  +
//printf("A[2][1]= %9.5f\n",A[2][1]);
  +
printf("A[2][0]= %9.5lf , A[2][1]=%9.5lf\n",A[2][0],A[2][1]);
  +
printf("A[3][0]= %9.5lf , A[3][1]=%9.5lf\n",A[3][0],A[3][1]);
  +
  +
printf("K= %9.5lf , C[1]=%9.5lf\n",K,C[1]);
  +
  +
// getchar();
  +
int M=1001,M1=M+1;
  +
int N=1001,N1=N+1;
  +
DB X[M1],Y[N1]; DB *g, *f, *w; // w is working array.
  +
g=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));
  +
f=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));
  +
w=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));
  +
char v[M1*N1]; // v is working array
  +
//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("aunem10ma.eps","w");ado(o,2008,2008);
  +
fprintf(o,"1004 1004 translate\n 1000 1000 scale 2 setlinecap\n");
  +
DO(m,M1) X[m]=-1.+.002*(m-.5);
  +
DO(n,N1) Y[n]=-1.+.002*(n-.5);
  +
for(m=-10;m<11;m+=5){ M(.1*m,-1)L(.1*m,1)}
  +
for(n=-10;n<11;n+=5){ M(-1,.1*n)L(1,.1*n)}
  +
fprintf(o,".003 W 0 0 0 RGB 2 setlinecap S\n");
  +
M(-1,ti)L(1,ti)
  +
M(-1,-ti)L(1,-ti)
  +
M(tr,-1)L(tr,1)
  +
fprintf(o,".002 W 0 0 0 RGB 2 setlinecap S\n");
  +
  +
//M(-1,0) L(0,0) M(tr,ti)L(0,0)L(tr,-ti)
  +
//fprintf(o,".006 W 1 1 0 RGB 0 setlinecap S\n");
  +
  +
DO(m,M1)DO(n,N1){g[m*N1+n]=9999999; f[m*N1+n]=9999999;}
  +
DO(m,M1){x=X[m]; if(m/10*10==m) printf("run at x=%6.3f\n",x);
  +
DO(n,N1){y=Y[n]; z=z_type(x,y);
  +
//c=aune1(z);
  +
c=aunem(z);
  +
//c=sune(c);
  +
//d=sune(z);
  +
//p=abs(c-z)/(abs(c)+abs(z)); p=-log(p)/log(10.);
  +
p=Re(c); q=Im(c);
  +
if(p>-85 && p<85) g[m*N1+n]=p;
  +
if(p>-1001 && p<1001 &&
  +
q >-1001 && q<1001 ) { g[m*N1+n]=p; f[m*N1+n]=q; }
  +
}}
  +
  +
//M(-2,0) L(0,0) M(tr,ti)L(0,0)L(tr,-ti)
  +
//fprintf(o,".002 W 1 1 0 RGB 0 setlinecap S\n");
  +
  +
fprintf(o,"1 setlinejoin 1 setlinecap\n");
  +
p=200.;q=2.;
  +
//#include"plofu.cin"
  +
  +
for(m=-5;m<5;m++)for(n=1;n<10;n+=1)conto(o,f,w,v,X,Y,M,N, (m+.1*n),-q,q);
  +
fprintf(o,".001 W 0 .6 0 RGB S\n");
  +
for(m=0;m<5;m++) for(n=1;n<10;n+=1)conto(o,g,w,v,X,Y,M,N,-(m+.1*n),-q,q);
  +
fprintf(o,".001 W .9 0 0 RGB S\n");
  +
for(m=0;m<5;m++) for(n=1;n<10;n+=1)conto(o,g,w,v,X,Y,M,N, (m+.1*n),-q,q);
  +
fprintf(o,".001 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,".004 W .8 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,".004 W 0 0 .8 RGB S\n");
  +
conto(o,f,w,v,X,Y,M,N,(0. ),-p,p);fprintf(o,".004 W .5 0 .5 RGB S\n");
  +
for(m=-10;m<11;m++)conto(o,g,w,v,X,Y,M,N,(0.+m),-p,p);fprintf(o,".004 W 0 0 0 RGB S\n");
  +
  +
/*
  +
//conto(o,g,w,v,X,Y,M,N,15.5,-1,1);fprintf(o,".02 W 1 0 1 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N,15.,-p,p);fprintf(o,".004 W 0 0 1 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N,14.,-p,p);fprintf(o,".002 W 0 1 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N,13.,-p,p);fprintf(o,".002 W 1 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N,12.,-p,p);fprintf(o,".004 W 0 0 .7 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N,11.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N,10.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 9.,-p,p);fprintf(o,".004 W 0 .6 .8 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 8.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 7.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 6.,-p,p);fprintf(o,".004 W 0 .6 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 5.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 4.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 3.,-p,p);fprintf(o,".004 W 1 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 2.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
  +
conto(o,g,w,v,X,Y,M,N, 1.,-p,p);fprintf(o,".005 W .5 0 0 RGB S\n");
  +
*/
  +
  +
M(-1,0) L(0,0) M(tr,ti)L(0,0)L(tr,-ti)
  +
fprintf(o,".006 W 1 1 0 RGB 0 setlinecap S\n");
  +
  +
fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
  +
system("epstopdf aunem10ma.eps");
  +
system( "open aunem10ma.pdf"); //mac
  +
  +
DO(m,50){ z=.01+.01*m;
  +
c=aune02(z); d=sune(c); p=abs(d-z)/(abs(d)+abs(z)); p=-log(p)/log(10.);
  +
c=aune0(z); d=sune(c); q=abs(d-z)/(abs(d)+abs(z)); q=-log(q)/log(10.);
  +
c=aune1(z); d=sune(c); y=abs(d-z)/(abs(d)+abs(z)); y=-log(y)/log(10.);
  +
printf("%5.3lf %5.2lf %5.2lf %5.2lf\n",Re(z), p,q,y);}
  +
  +
return 0;}
  +
</nowiki></nomathjax></poem>
  +
  +
==[[Latex]] generator of the labels==
  +
  +
<poem><nomathjax><nowiki>
  +
\documentclass[12pt]{article}
  +
\usepackage{graphics}
  +
\paperwidth 2140pt
  +
\paperheight 2080pt
  +
\usepackage{geometry}
  +
\usepackage{rotating}
  +
\textwidth 2260pt
  +
\textheight 2260pt
  +
\topmargin -97pt
  +
\oddsidemargin -74pt
  +
\parindent 0pt
  +
\pagestyle{empty}
  +
\newcommand \ing {\includegraphics}
  +
\newcommand \sx {\scalebox}
  +
\newcommand \rot {\begin{rotate}}
  +
\newcommand \ero {\end{rotate}}
  +
\begin{document}
  +
\begin{picture}(2060,2052)
  +
%\put(24,20){\ing{35z}}
  +
%\put(10,10){\ing{arqnem10z}}
  +
\put(128,50){\ing{aunem10ma}}
  +
\put(226,1042){\sx{6}{\rot{0.} \bf cut \ero}}
  +
\put(1156,1090){\sx{6}{\rot{73} \bf cut \ero}}
  +
  +
\put(80,2022){\sx{7}{$y$}}
  +
\put(30,1536){\sx{6}{$0.5$}}
  +
\put(50,1380){\sx{6.6}{$y_0$}}
  +
\put(80,1036){\sx{6}{$0$}}
  +
\put(-4,690){\sx{6.6}{$-y_0$}}
  +
\put(-18, 536){\sx{6}{$-0.5$}}
  +
\put(10, 34){\sx{6}{$-1$}}
  +
\put(80, -7){\sx{6}{$-1$}}
  +
\put(540,-6){\sx{6}{$-0.5$}}
  +
\put(1118,-6){\sx{6}{$0$}}
  +
\put(1190,-4){\sx{6}{$x_0$}}
  +
\put(1590, -6){\sx{6}{$0.5$}}
  +
\put(2096, -4){\sx{6.6}{$x$}}
  +
%
  +
\put(640,1958){\sx{8}{\rot{-50} $u\!=\!1.4$\ero}}
  +
\put(444,1772){\sx{8}{\rot{-31} $u\!=\!1.5$\ero}}
  +
\put(360,1472){\sx{8}{\rot{-10} $u\!=\!1.6$\ero}}
  +
\put(286,1110){\sx{8}{\rot{9} $u\!=\!1.7$\ero}}
  +
\put(286,958){\sx{8}{\rot{-10} $u\!=\!1.7$\ero}}
  +
%
  +
\put(1312,1790){\sx{8}{\rot{82} $u\!=\!1$\ero}}
  +
\put(1860,1790){\sx{8}{\rot{-3} $u\!=\!0.5$\ero}}
  +
%
  +
\put(880,1500){\sx{8}{\rot{60} $v\!=\!1.4$\ero}}
  +
\put(976,1460){\sx{8}{\rot{62} $v\!=\!1.5$\ero}}
  +
%
  +
\put(1720,1250){\sx{8}{\rot{60} $v\!=\!1$\ero}}
  +
\put(1820,1032){\sx{8}{\rot{0} $v\!=\!0$\ero}}
  +
\put(1672, 856){\sx{8}{\rot{-62} $v\!=\!-1$\ero}}
  +
%
  +
\put(1760,910){\sx{8}{\rot{88} $u\!=\!-1$\ero}}
  +
\put(2028,714){\sx{8}{\rot{54} $u\!=\!0$\ero}}
  +
\put(1868,364){\sx{8}{\rot{7} $u\!=\!0.4$\ero}}
  +
\put(1860,278){\sx{8}{\rot{2} $u\!=\!0.5$\ero}}
  +
\put(1840,186){\sx{8}{\rot{-5} $u\!=\!0.6$\ero}}
  +
\end{picture}
  +
\end{document}
  +
</nowiki></nomathjax></poem>
  +
  +
[[Category:Abel function]]
  +
[[Category:ArqNem]]
  +
[[Category:AuNem]]
  +
[[Category:Book]]
  +
[[Category:BookMap]]
  +
[[Category:C++]]
  +
[[Category:Complex map]]
  +
[[Category:Latex]]
  +
[[Category:Nemtsov function]]
  +
[[Category:Superfunctions]]

Latest revision as of 08:30, 1 December 2018

Complex map of function AuNem with parameter $q\!=\!1$:

$u\!+\!\mathrm i v=\mathrm{AuNem}_1(x\!+\!\mathrm i y)$

References


C++ generator of the map

Files ado.cin, conto.cin, arqnem.cin, nembran.cin, sune.cin, sunemco.txt, aunemco.txt

should be loaded (or generated) in order to compile 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 std::complex<double> z_type;
#define Re(x) x.real()
#define Im(x) x.imag()
#define I z_type(0.,1.)
#include "conto.cin"

DB Q=1.;
z_type nem(z_type z){ return z*(1.+z*z*(1.+z*Q)); }
z_type nem1(z_type z){ return 1.+z*z*(3.+z*(4.*Q)); } // WARNING: Q is global!

#include "sune.cin"

#include"nembran.cin"
z_type NemZo=nembra(Q);
z_type ANemZo=nem(NemZo);
DB tr=Re(ANemZo);
DB ti=Im(ANemZo);

#include "arqnem.cin"

DB C[41];
//DB K=Q*Q;
int coa(){ //C[1]=(0.5 - K)*Q; C[2]=-0.625 + (-0.25 + K/2.)*K; ..
#include "aunemco.txt"
return 40;
}

z_type aune0(z_type z){ z_type s; int n;
s=C[40]*z; for(n=39;n>0;n--){s+=C[n];s*=z;}
return (-.5/z+Q)/z + (1.5+K)*log(z) + (.5*K + (.75+.5*K)*log(2.)) + s ;
}

DB AUNE1=0;

z_type aune1(z_type z){ int n, N=20; DO(n,N) z=arqnem(z);
return aune0(z)+(0.+n);}

z_type aunem(z_type z){ int n, N=20; DO(n,N) z=arqnem(z);
return aune0(z)+(n-AUNE1);}


z_type aune02(z_type z){ z_type s; int n; s=(C[2]*z+C[1])*z;
                return (-.5/z+Q)/z + (1.5+K)*log(z) + (.5*K + (.75+.5*K)*log(2.)) + s ; }
z_type aune01(z_type z){ z_type s; int n; s=C[1]*z;
                return (-.5/z+Q)/z + (1.5+K)*log(z) + (.5*K + (.75+.5*K)*log(2.)) +s ; }

int main(){ int Max; int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
// DB rr,ti;
co();
coa();
AUNE1=Re(aune1(1.));
//printf("A[2][1]= %9.5f\n",A[2][1]);
printf("A[2][0]= %9.5lf , A[2][1]=%9.5lf\n",A[2][0],A[2][1]);
printf("A[3][0]= %9.5lf , A[3][1]=%9.5lf\n",A[3][0],A[3][1]);

printf("K= %9.5lf , C[1]=%9.5lf\n",K,C[1]);

// getchar();
 int M=1001,M1=M+1;
 int N=1001,N1=N+1;
DB X[M1],Y[N1]; DB *g, *f, *w; // w is working array.
g=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));
f=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));
w=(DB *)malloc((size_t)((M1*N1)*sizeof(DB)));
char v[M1*N1]; // v is working array
//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("aunem10ma.eps","w");ado(o,2008,2008);
fprintf(o,"1004 1004 translate\n 1000 1000 scale 2 setlinecap\n");
DO(m,M1) X[m]=-1.+.002*(m-.5);
DO(n,N1) Y[n]=-1.+.002*(n-.5);
for(m=-10;m<11;m+=5){ M(.1*m,-1)L(.1*m,1)}
for(n=-10;n<11;n+=5){ M(-1,.1*n)L(1,.1*n)}
fprintf(o,".003 W 0 0 0 RGB 2 setlinecap S\n");
M(-1,ti)L(1,ti)
M(-1,-ti)L(1,-ti)
M(tr,-1)L(tr,1)
fprintf(o,".002 W 0 0 0 RGB 2 setlinecap S\n");

//M(-1,0) L(0,0) M(tr,ti)L(0,0)L(tr,-ti)
//fprintf(o,".006 W 1 1 0 RGB 0 setlinecap S\n");

DO(m,M1)DO(n,N1){g[m*N1+n]=9999999; f[m*N1+n]=9999999;}
DO(m,M1){x=X[m]; if(m/10*10==m) printf("run at x=%6.3f\n",x);
DO(n,N1){y=Y[n]; z=z_type(x,y);
//c=aune1(z);
c=aunem(z);
//c=sune(c);
//d=sune(z);
//p=abs(c-z)/(abs(c)+abs(z)); p=-log(p)/log(10.);
       p=Re(c); q=Im(c);
if(p>-85 && p<85) g[m*N1+n]=p;
        if(p>-1001 && p<1001 &&
        q >-1001 && q<1001 ) { g[m*N1+n]=p; f[m*N1+n]=q; }
        }}

//M(-2,0) L(0,0) M(tr,ti)L(0,0)L(tr,-ti)
//fprintf(o,".002 W 1 1 0 RGB 0 setlinecap S\n");

fprintf(o,"1 setlinejoin 1 setlinecap\n");
p=200.;q=2.;
//#include"plofu.cin"

for(m=-5;m<5;m++)for(n=1;n<10;n+=1)conto(o,f,w,v,X,Y,M,N, (m+.1*n),-q,q);
                                                fprintf(o,".001 W 0 .6 0 RGB S\n");
for(m=0;m<5;m++) for(n=1;n<10;n+=1)conto(o,g,w,v,X,Y,M,N,-(m+.1*n),-q,q);
                                                fprintf(o,".001 W .9 0 0 RGB S\n");
for(m=0;m<5;m++) for(n=1;n<10;n+=1)conto(o,g,w,v,X,Y,M,N, (m+.1*n),-q,q);
                                                fprintf(o,".001 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,".004 W .8 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,".004 W 0 0 .8 RGB S\n");
                   conto(o,f,w,v,X,Y,M,N,(0. ),-p,p);fprintf(o,".004 W .5 0 .5 RGB S\n");
for(m=-10;m<11;m++)conto(o,g,w,v,X,Y,M,N,(0.+m),-p,p);fprintf(o,".004 W 0 0 0 RGB S\n");

/*
//conto(o,g,w,v,X,Y,M,N,15.5,-1,1);fprintf(o,".02 W 1 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N,15.,-p,p);fprintf(o,".004 W 0 0 1 RGB S\n");
conto(o,g,w,v,X,Y,M,N,14.,-p,p);fprintf(o,".002 W 0 1 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N,13.,-p,p);fprintf(o,".002 W 1 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N,12.,-p,p);fprintf(o,".004 W 0 0 .7 RGB S\n");
conto(o,g,w,v,X,Y,M,N,11.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N,10.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 9.,-p,p);fprintf(o,".004 W 0 .6 .8 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 8.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 7.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 6.,-p,p);fprintf(o,".004 W 0 .6 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 5.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 4.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 3.,-p,p);fprintf(o,".004 W 1 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 2.,-p,p);fprintf(o,".002 W 0 0 0 RGB S\n");
conto(o,g,w,v,X,Y,M,N, 1.,-p,p);fprintf(o,".005 W .5 0 0 RGB S\n");
*/

M(-1,0) L(0,0) M(tr,ti)L(0,0)L(tr,-ti)
fprintf(o,".006 W 1 1 0 RGB 0 setlinecap S\n");

fprintf(o,"showpage\n%cTrailer",'%'); fclose(o);
        system("epstopdf aunem10ma.eps");
        system( "open aunem10ma.pdf"); //mac

DO(m,50){ z=.01+.01*m;
        c=aune02(z); d=sune(c); p=abs(d-z)/(abs(d)+abs(z)); p=-log(p)/log(10.);
        c=aune0(z); d=sune(c); q=abs(d-z)/(abs(d)+abs(z)); q=-log(q)/log(10.);
        c=aune1(z); d=sune(c); y=abs(d-z)/(abs(d)+abs(z)); y=-log(y)/log(10.);
        printf("%5.3lf %5.2lf %5.2lf %5.2lf\n",Re(z), p,q,y);}

return 0;}

Latex generator of the labels


 \documentclass[12pt]{article}
 \usepackage{graphics}
 \paperwidth 2140pt
 \paperheight 2080pt
 \usepackage{geometry}
 \usepackage{rotating}
 \textwidth 2260pt
 \textheight 2260pt
 \topmargin -97pt
 \oddsidemargin -74pt
 \parindent 0pt
 \pagestyle{empty}
\newcommand \ing {\includegraphics}
\newcommand \sx {\scalebox}
\newcommand \rot {\begin{rotate}}
\newcommand \ero {\end{rotate}}
\begin{document}
\begin{picture}(2060,2052)
%\put(24,20){\ing{35z}}
%\put(10,10){\ing{arqnem10z}}
\put(128,50){\ing{aunem10ma}}
\put(226,1042){\sx{6}{\rot{0.} \bf cut \ero}}
\put(1156,1090){\sx{6}{\rot{73} \bf cut \ero}}

\put(80,2022){\sx{7}{$y$}}
\put(30,1536){\sx{6}{$0.5$}}
\put(50,1380){\sx{6.6}{$y_0$}}
\put(80,1036){\sx{6}{$0$}}
\put(-4,690){\sx{6.6}{$-y_0$}}
\put(-18, 536){\sx{6}{$-0.5$}}
\put(10, 34){\sx{6}{$-1$}}
\put(80, -7){\sx{6}{$-1$}}
\put(540,-6){\sx{6}{$-0.5$}}
\put(1118,-6){\sx{6}{$0$}}
\put(1190,-4){\sx{6}{$x_0$}}
\put(1590, -6){\sx{6}{$0.5$}}
\put(2096, -4){\sx{6.6}{$x$}}
%
\put(640,1958){\sx{8}{\rot{-50} $u\!=\!1.4$\ero}}
\put(444,1772){\sx{8}{\rot{-31} $u\!=\!1.5$\ero}}
\put(360,1472){\sx{8}{\rot{-10} $u\!=\!1.6$\ero}}
\put(286,1110){\sx{8}{\rot{9} $u\!=\!1.7$\ero}}
\put(286,958){\sx{8}{\rot{-10} $u\!=\!1.7$\ero}}
%
\put(1312,1790){\sx{8}{\rot{82} $u\!=\!1$\ero}}
\put(1860,1790){\sx{8}{\rot{-3} $u\!=\!0.5$\ero}}
%
\put(880,1500){\sx{8}{\rot{60} $v\!=\!1.4$\ero}}
\put(976,1460){\sx{8}{\rot{62} $v\!=\!1.5$\ero}}
%
\put(1720,1250){\sx{8}{\rot{60} $v\!=\!1$\ero}}
\put(1820,1032){\sx{8}{\rot{0} $v\!=\!0$\ero}}
\put(1672, 856){\sx{8}{\rot{-62} $v\!=\!-1$\ero}}
%
\put(1760,910){\sx{8}{\rot{88} $u\!=\!-1$\ero}}
\put(2028,714){\sx{8}{\rot{54} $u\!=\!0$\ero}}
\put(1868,364){\sx{8}{\rot{7} $u\!=\!0.4$\ero}}
\put(1860,278){\sx{8}{\rot{2} $u\!=\!0.5$\ero}}
\put(1840,186){\sx{8}{\rot{-5} $u\!=\!0.6$\ero}}
\end{picture}
\end{document}

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current06:10, 1 December 2018Thumbnail for version as of 06:10, 1 December 20184,441 × 4,317 (1.05 MB)Maintenance script (talk | contribs)Importing image file

You cannot overwrite this file.

The following page uses this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://mizugadro.mydns.jp/t/index.php?title=File:Aunem10map.jpg&oldid=18279"