File:Sunemplot.jpg

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Explicit plot of function SuNem for three different values of parameter.

$y=\mathrm{SuNem}_q(x)~ ~ $ versus $x$ for

$q\!=\!0$, (red)

$q\!=\!1$, (green)

$q\!=\!2$, (blue)

Description

References


C++ generator of curves

Files ado.cin, conto.cin, sune.cin, sunema.txt should be loaded 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;
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 SUNo=0;

z_type sunem(z_type z){ return sune(z + SUNo);}

int main(){ int Max; int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
// DB rr,ti;
FILE *o;o=fopen("sunemplo.eps","w");ado(o,620,1020);
fprintf(o,"410 10 translate\n 100 100 scale 2 setlinecap\n");
for(m=-4;m<3;m+=1){ M(m,0)L(m,10)}
for(n=0;n<11;n+=1){ M(-4,n)L(2,n)}
fprintf(o,".008 W 0 0 0 RGB 2 setlinecap S\n");

Q=0; co(); printf("Q=%9.4lf\n",Q);
DO(n,50) { y=Re(sunem(0)); SUNo-= y-1.; printf("%19.16lf %19.16lf\n", SUNo,y);} // getchar();
//for(m=-4;m<4;m++) {x=m; y=Re(sunem(x)); printf("%6.1lf %18.15lf\n", x,y); }
DO(n,124){ x=-4.1+.05*n; y=Re(sunem(x)); if(n==0) M(x,y) else L(x,y); printf("%6.1lf %18.15lf\n", x,y); if(y>10) break;}
fprintf(o,".03 W .7 0 0 RGB 1 setlinejoin S\n");

Q=1; co(); printf("Q=%9.4lf\n",Q);
DO(n,50) { y=Re(sunem(0)); SUNo-= y-1.; printf("%19.16lf %19.16lf\n", SUNo,y);} // getchar();
//for(m=-4;m<4;m++) {x=m; y=Re(sunem(x)); printf("%6.1lf %18.15lf\n", x,y); }
DO(n,124){ x=-4.1+.05*n; y=Re(sunem(x)); if(n==0) M(x,y) else L(x,y); printf("%6.1lf %18.15lf\n", x,y); if(y>10) break;}
fprintf(o,".03 W 0 .5 0 RGB 1 setlinejoin S\n");

Q=2; co(); printf("Q=%9.4lf\n",Q);
DO(n,50) { y=Re(sunem(0)); SUNo-= y-1.; printf("%19.16lf %19.16lf\n", SUNo,y);} // getchar();
//for(m=-4;m<4;m++) {x=m; y=Re(sunem(x)); printf("%6.1lf %18.15lf\n", x,y); }
DO(n,124){ x=-4.1+.05*n; y=Re(sunem(x)); if(n==0) M(x,y) else L(x,y); printf("%6.1lf %18.15lf\n", x,y); if(y>10) break;}
fprintf(o,".03 W 0 0 .7 RGB 1 setlinejoin S\n");

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

return 0;
}

Latex generator of curves


\documentclass[12pt]{article}
 \usepackage{graphics}
 \paperwidth 618pt
 \paperheight 1012pt
 \usepackage{geometry}
 \usepackage{rotating}
 \textwidth 1260pt
 \textheight 1260pt
 \topmargin -100pt
 \oddsidemargin -72pt
 \parindent 0pt
 \pagestyle{empty}
\newcommand \ing {\includegraphics}
\newcommand \sx {\scalebox}
\newcommand \rot {\begin{rotate}}
\newcommand \ero {\end{rotate}}
\begin{document}
\begin{picture}(620,1012)
\put(0,0){\ing{sunemplo}}
\put(420,988){\sx{3.3}{$y$}}
\put(420,898){\sx{3.3}{$9$}}
\put(420,798){\sx{3.3}{$8$}}
\put(420,698){\sx{3.3}{$7$}}
\put(420,598){\sx{3.3}{$6$}}
\put(420,498){\sx{3.3}{$5$}}
\put(420,398){\sx{3.3}{$4$}}
\put(420,298){\sx{3.3}{$3$}}
\put(420,198){\sx{3.3}{$2$}}
\put(420, 98){\sx{3.3}{$1$}}
%\put(420, -7){\sx{3.3}{$0$}}
\put( 80,14){\sx{3.3}{$-3$}}
\put(180,14){\sx{3.3}{$-2$}}
\put(280,14){\sx{3.3}{$-1$}}
\put(402,14){\sx{3.3}{$0$}}
\put(502,14){\sx{3.3}{$1$}}
\put(592,14){\sx{3.3}{$x$}}
\put(516,616){\sx{4}{\rot{86}$q\!=\!2$\ero}}%
\put(572,616){\sx{4}{\rot{85}$q\!=\!1$\ero}}%
\put(600,410){\sx{4}{\rot{82}$q\!=\!0$\ero}}%
\end{picture}
\end{document}

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current06:14, 1 December 2018Thumbnail for version as of 06:14, 1 December 20181,282 × 2,100 (243 KB)Maintenance script (talk | contribs)Importing image file
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