imported>Dmitrii Kouznetsov |
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| == Summary == | | == Summary == |
| {{Image_Details|user
| | Importing file |
| |description = [[Complex map]] of function [[Filog]], zoom-in from the central part. <math>u\!+\!\mathrm i v=\mathrm{Filog}(x\!+\!\mathrm i y)</math>
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| |author = [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]
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| |date-created = 2013.03.05
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| |pub-country = Japan
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| |notes = 2013.02.27, 17:30, Server http://tori.ils.uec.ac.jp/TORI is cracked by [[Nishio Shigeaki]] from computer identified as gigabyte.ils.uec.ac.jp and, perhaps, we'll never be able to recover TORI. From the vandalized copy, I try to save the most important pictures, formulas and algorithms. [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]] 02:40, 8 March 2013 (UTC)
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| |versions = http://en.citizendium.org/wiki/File:FilogbigT.jpg
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| }}
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| == Licensing ==
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| {{CC|by|3.0}}
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| | |
| ==[[C++]] generator of curves==
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| // FIles [[filog.cin]], [[ado.cin]] and [[conto.cin]] should be loaded to the working directory in order to compile the code below.
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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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| #include "filog.cin"
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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=600,M1=M+1;
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| int N=401,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("filogm.eps","w");ado(o,302,202);
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| fprintf(o,"101 101 translate\n 100 100 scale\n");
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| DO(m,M1) X[m]=-1.+.005*(m-.2);
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| DO(n,200)Y[n]=-1.+.005*n;
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| Y[200]=-.0001;
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| Y[201]= .0001;
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| for(n=202;n<N1;n++) Y[n]=-1.+.005*(n-1.);
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| for(m=-1;m<3;m++){M(m,-1)L(m,1)}
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| for(n=-1;n<2;n++){M( -1,n)L(2,n)}
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| fprintf(o,"2 setlinecap .004 W 0 0 0 RGB S\n");
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| M(exp(-1.),-1)
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| L(exp(-1.), 1)
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| M(M_PI/2.,-1)
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| L(M_PI/2., 1)
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| fprintf(o,".002 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=Tania(z_type(-1.,-M_PI)+log(z))/(-z);
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| c=Filog(z);
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| p=Re(c);q=Im(c);
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| if(p>-41. && p<41. && q>-41. && q<41. ){ 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=5.;q=.8;
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| for(m=-10;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,".001 W 0 .6 0 RGB S\n");
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| for(m=0;m<11;m++) for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N,-(m+.1*n),-q, q); fprintf(o,".001 W .9 0 0 RGB S\n");
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| for(m=0;m<11;m++) for(n=2;n<10;n+=2)conto(o,g,w,v,X,Y,M,N, (m+.1*n),-q, q); fprintf(o,".001 W 0 0 .9 RGB S\n");
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| for(m=1;m<21;m++) conto(o,f,w,v,X,Y,M,N, (0.-m),-p,p); fprintf(o,".003 W .9 0 0 RGB S\n");
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| for(m=1;m<121;m++) conto(o,f,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".003 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,".003 W .6 0 .6 RGB S\n");
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| for(m=-20;m<21;m++) conto(o,g,w,v,X,Y,M,N, (0.+m),-p,p); fprintf(o,".003 W 0 0 0 RGB S\n");
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| fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o);
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| system("epstopdf filogm.eps");
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| system( "open filogm.pdf"); //for mac
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| // getchar(); system("killall Preview"); // for mac
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| }
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| // Copyleft 2013 by Dmitrii Kouznetsov
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| ==[[Latex]] generator of labels==
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| \documentclass[12pt]{article} %<br>
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| \usepackage{geometry} %<br>
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| \paperwidth 315pt %<br>
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| \paperheight 216pt %<br>
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| \topmargin -102pt %<br>
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| \oddsidemargin -88pt %<br>
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| \usepackage{graphicx} %<br>
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| \usepackage{rotating} %<br>
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| \newcommand \rot {\begin{rotate}} %<br>
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| \newcommand \ero {\end{rotate}} %<br>
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| \newcommand \rme {\mathrm{e}} %<br>
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| \newcommand \sx {\scalebox} %<br>
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| \begin{document} %<br>
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| \begin{picture}(208,208) %<br>
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| \put(10,10){\includegraphics{filogm}} %<br>
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| \put(4,207){$1$} %<br>
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| \put(0,147){$y$} %<br>
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| \put(4,107){$0$} %<br>
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| \put(-3, 8){$-\!1$} %<br>
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| \put(2, 0){$-\!1$} %<br>
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| \put(108, 0){$0$} %<br>
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| \put(140, 2){\sx{.8}{$1/\rme$}} %<br>
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| \put(209, 0){\sx{1}{$1$}} %<br>
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| \put(264, 2){\sx{.8}{$\pi/2$}} %<br>
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| \put(307, 2){\sx{.9}{$x$}} %<br>
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| \put(185,43){\sx{.8}{\rot{64}$v\!=\!2$ \ero} } %<br>
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| \put(250,49){\sx{.6}{\rot{84}$v\!=\!1.2$ \ero} } %<br>
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| \put(281.5,43){\sx{.8}{\rot{80}$v\!=\!1$ \ero} } %<br>
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| \put(283,161){\sx{.6}{\rot{-40}$v\!=\!0.8$ \ero} } %<br>
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| \put(250,143){\sx{.6}{\rot{60}$u\!=\!0.2$ \ero} } %<br>
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| \put(283,118){\sx{.8}{\rot{35}$u\!=\!0$ \ero} } %<br>
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| \put(284,74){\sx{.6}{\rot{5}$u\!=\!-0.2$ \ero} } %<br>
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| \put(28.4,120){\sx{.7}{\rot{79}$u\!=\!0.6$\ero}} %<br>
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| \put(84.4,113){\sx{.7}{\rot{74}$u\!=\!0.8$\ero}} %<br>
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| \end{picture} %<br>
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| \end{document} %<br>
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