imported>Dmitrii Kouznetsov |
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| == Summary == | | == Summary == |
| {{Image_Details|user
| | Importing file |
| |description = [[Complex map]] of the inverse [[Tania function]], <math>y=\mathrm{ArcTania}(x)</math>.
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| |author = [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]
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| |date-created = 2011 September 25
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| |pub-country = Japan
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| |notes = For the generation
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| |versions = http://tori.ils.uec.ac.jp/TORI/index.php/File:ArcTaniaMap.png
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| }}
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| == Licensing ==
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| {{CC|by|3.0}}
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| ==Generation==
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| The curves are generated with the [[C++]] code below.
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| The resulting file is used by the [[Latex]] document.
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| The result of compilation of the Latex source can be converted to the *.png or any other format.
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| ===[[C++]] generator of curces===
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| For the compilation, files [[ado.cin]] and [[conto.cin]] should be loaded in the working directory.
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| | |
| #include <math.h>
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| #include <stdio.h>
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| #include <stdlib.h>
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| #define DB double
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| #define DO(x,y) for(x=0;x<y;x++)
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| using namespace std;
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| #include <complex>
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| typedef complex<double> z_type;
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| #define Re(x) x.real()
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| #define Im(x) x.imag()
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| #define I z_type(0.,1.)
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| #include "conto.cin"
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| z_type ArcTania(z_type z) {return z + log(z) - 1. ;}
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| | |
| main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
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| int M=160,M1=M+1;
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| int N=161,N1=N+1;
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| DB X[M1],Y[N1], g[M1*N1],f[M1*N1], w[M1*N1]; // w is working array.
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| char v[M1*N1]; // v is working array
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| FILE *o;o=fopen("arctaniamap.eps","w");ado(o,162,162);
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| fprintf(o,"81 81 translate\n 10 10 scale\n");
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| DO(m,M1) X[m]=-8.+.1*(m);
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| DO(n,80)Y[n]=-8.+.1*n;
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| Y[80]=-.033;
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| Y[81]= .033;
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| for(n=82;n<N1;n++) Y[n]=-8.+.1*(n-1.);
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| for(m=-8;m<9;m++){if(m==0){M(m,-8.5)L(m,8.5)} else{M(m,-8)L(m,8)}}
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| for(n=-8;n<9;n++){ M( -8,n)L(8,n)}
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| fprintf(o,".0009 W 0 0 0 RGB S\n");
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| DO(m,M1)DO(n,N1){g[m*N1+n]=9999; f[m*N1+n]=9999;}
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| DO(m,M1){x=X[m]; //printf("%5.2f\n",x);
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| DO(n,N1){y=Y[n]; z=z_type(x,y);
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| c=ArcTania(z);
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| p=Re(c);q=Im(c);
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| if(p>-99. && p<99. && q>-99. && q<99. ) {g[m*N1+n]=p;f[m*N1+n]=q;}
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| }}
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| fprintf(o,"1 setlinejoin 2 setlinecap\n"); p=1.8;q=.7;
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| //p=2;q=1;
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| 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,".011 W 0 .6 0$
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| 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,".011 W .9 0 0$
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| 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,".011 W 0 0 .9$
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| for(m=1;m<11;m++) conto(o,f,w,v,X,Y,M,N, (0.-m),-p,p); fprintf(o,".05 W .9 0 0 RGB S\n");
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| for(m=1;m<11;m++) conto(o,f,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".05 W 0 0 .9 RGB S\n");
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| conto(o,f,w,v,X,Y,M,N, (0. ),-p,p); fprintf(o,".05 W .6 0 .6 RGB S\n");
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| for(m=-9;m<10;m++) conto(o,g,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".05 W 0 0 0 RGB S\n");
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| y= 0.; for(m=0;m<80;m+=4) {x=-7.95+.1*m; M(x,y) L(x+.05,y)} fprintf(o,".07 W 1 .5 0 RGB S\n");
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| y= 0.; for(m=2;m<80;m+=4) {x=-7.95+.1*m; M(x,y) L(x+.05,y)} fprintf(o,".07 W 0 .5 1 RGB S\n");
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| fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o);
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| system("epstopdf arctaniamap.eps");
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| system( "open arctaniamap.pdf");
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| getchar(); system("killall Preview");//for mac
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| }
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| ===[[Latex]] document for labels===
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| % Gerenator of ArcTaniaMap.png % Copyleft 2011 by Dmitrii Kouznetsov
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| \documentclass[12pt]{article}
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| \usepackage{geometry}
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| \usepackage{graphicx}
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| \usepackage{rotating}
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| \paperwidth 854pt
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| \paperheight 844pt
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| \topmargin -96pt
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| \oddsidemargin -98pt
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| \textwidth 1100pt
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| \textheight 1100pt
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| \pagestyle {empty}
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| \newcommand \sx {\scalebox}
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| \newcommand \rot {\begin{rotate}}
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| \newcommand \ero {\end{rotate}}
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| \newcommand \ing {\includegraphics}
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| \begin{document}
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| \sx{5}{ \begin{picture}(164,165)
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| \put(6,5){\ing{arctaniamap}}
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| \put(2,162){\sx{.7}{$y$}}
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| \put(2,144){\sx{.6}{$6$}}
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| \put(2,124){\sx{.6}{$4$}}
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| \put(2,104){\sx{.6}{$2$}}
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| %\put(23,100){\sx{.8}{$u\!=\!0$}}
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| \put(2, 84){\sx{.6}{$0$}}
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| \put(59,85){\sx{.6}{\bf cut}}
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| % \put(20, 84){\sx{.8}{$v\!=\!0$}}
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| \put(-3,64){\sx{.6}{$-2$}}
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| \put(-3,44){\sx{.6}{$-4$}}
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| \put(-3,24){\sx{.6}{$-6$}}
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| \put( 22,0){\sx{.6}{$-6$}}
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| \put( 42,0){\sx{.6}{$-4$}}
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| \put( 62,0){\sx{.6}{$-2$}}
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| \put( 86,0){\sx{.6}{$0$}}
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| \put(106,0){\sx{.6}{$2$}}
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| \put(126,0){\sx{.6}{$4$}}
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| \put(146,0){\sx{.6}{$6$}}
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| \put(164,0){\sx{.7}{$x$}}
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| \put( 81, 23){\rot{81}\sx{.8}{$u\!=\!0$}\ero}
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| \put( 92, 23){\rot{82}\sx{.8}{$u\!=\!1$}\ero}
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| \put(101, 22){\rot{82}\sx{.8}{$u\!=\!2$}\ero}
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| \put(111, 21){\rot{83}\sx{.8}{$u\!=\!3$}\ero}
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| \put(120, 21){\rot{84}\sx{.8}{$u\!=\!4$}\ero}
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| \put(139,155){\rot{4}\sx{.8}{$v\!=\!8$}\ero}
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| \put(138,146){\rot{4}\sx{.8}{$v\!=\!7$}\ero}
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| \put(138,136){\rot{4}\sx{.8}{$v\!=\!6$}\ero}
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| \put(138,127){\rot{4}\sx{.8}{$v\!=\!5$}\ero}
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| \put(137,118){\rot{4}\sx{.8}{$v\!=\!4$}\ero}
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| \put(136,109){\rot{4}\sx{.8}{$v\!=\!3$}\ero}
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| \put(135,100){\rot{4}\sx{.8}{$v\!=\!2$}\ero}
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| \put(134, 92){\rot{3}\sx{.8}{$v\!=\!1$}\ero}
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| \put(134, 84){\rot{0}\sx{.8}{$v\!=\!0$}\ero}
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| \put(134, 76){\rot{-3}\sx{.8}{$v\!=\!-\!1$}\ero}
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| \put(133, 68){\rot{-5}\sx{.8}{$v\!=\!-\!2$}\ero}
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| \put(134, 59){\rot{-5}\sx{.8}{$v\!=\!-\!3$}\ero}
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| \put(135, 51){\rot{-5}\sx{.8}{$v\!=\!-\!4$}\ero}
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| \put(135, 41){\rot{-5}\sx{.8}{$v\!=\!-\!5$}\ero}
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| \put(135, 32){\rot{-5}\sx{.8}{$v\!=\!-\!6$}\ero}
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| \put(136, 23){\rot{-5}\sx{.8}{$v\!=\!-\!7$}\ero}
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| \put(137, 14){\rot{-5}\sx{.8}{$v\!=\!-\!8$}\ero}
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| \end{picture}
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| }
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| \end{document}
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| %Use for free, attribute the source. This is not for any kind of priority; this is to trace the errors if any.
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