File:ExpIte4T.jpg: Difference between revisions

Latest revision as of 18:51, 11 March 2022

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current	18:51, 11 March 2022		1,673 × 1,673 (901 KB)	Maintenance script (talk \| contribs)	== Summary == Importing file

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Iteration of function

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 == Summary ==
-{{Image_Details|user
+Importing file
-|description  = [[iteration of function|iteration]] of [[exponential]], <math>~ y=\exp^n(x)~</math> for various values of number <math>n</math> of iteration.
-|author       = [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]
-|date-created = 2012.11.11
-|pub-country  = Japan
-|notes        = Copied from [[TORI]]
-|versions     = http://tori.ils.uec.ac.jp/TORI/index.php/File:ExpIte4T.jpg
-}}
-==[[C++]] generator of curves==
-// Files [[ado.cin]], [[fsexp.cin]], [[fslog.cin]]
-//should be loaded to the working directory in order to compile the 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 complex<double> z_type;
- #define Re(x) x.real()
- #define Im(x) x.imag()
- #define I z_type(0.,1.)
- //#include "Tania.cin" // need for LambertW
- //#include "LambertW.cin" // need for AuZex
- //#include "SuZex.cin"
- //#include "AuZex.cin"
- #include "fsexp.cin"
- #include "fslog.cin"
- // z_type tra(z_type z){ return exp(z)+z;}
- // z_type F(z_type z){ return log(suzex(z));}
- // z_type G(z_type z){ return auzex(exp(z));}
- #include "ado.cin"
- #define M(x,y) fprintf(o,"%6.4f %6.4f M\n",0.+x,0.+y);
- #define L(x,y) fprintf(o,"%6.4f %6.4f L\n",0.+x,0.+y);
- main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;  FILE *o;o=fopen("ExpIte4.eps","w");  ado(o,804,804);
- fprintf(o,"402 402 translate\n 100 100 scale\n");
- fprintf(o,"1 setlinejoin 2 setlinecap\n");
- for(n=-4;n<5;n++) {M(-4,n)L(4,n)}
- for(m=-4;m<5;m++) {M(m,-4)L(m,4)}
- // M(M_E,0)L(M_E,1) M(0,M_E)L(1,M_E)
- fprintf(o,".004 W S\n");
- // DO(m,700){x=.01 +.02*m; y=Re(LambertW(LambertW(x)));if(m==0) M(x,y) else L(x,y) if(x>12.03||y>12.03) break;} fprintf(o,".033 W 1 0 0 RGB S\n");
- // DO(m,700){x=.01 +.02*m; y=Re(LambertW(x));if(m==0) M(x,y) else L(x,y) if(x>12.03||y>12.03) break;} fprintf(o,".04 W 1 .5 0 RGB S\n");
- // M(0,0) L(12.03,12.03) fprintf(o,".04 W 0 1 0 RGB S\n");
- DO(m,700){x=-4.02+.02*m; y=exp(x);          if(m==0) M(x,y) else L(x,y) if(x>4.03||y>4.03) break;} fprintf(o,".032 W 0 1 0 RGB S\n");
- DO(m,700){x=-4.02+.02*m; y=exp(exp(x));     if(m==0) M(x,y) else L(x,y) if(x>4.03||y>4.03) break;} fprintf(o,".032 W 0 1 0 RGB S\n");
- DO(m,700){x=-4.02+.02*m; y=exp(exp(exp(x)));if(m==0) M(x,y) else L(x,y) if(x>4.03||y>4.03) break;} fprintf(o,".032 W 0 1 0 RGB S\n");
- DO(m,700){y=-4.02+.02*m; x=exp(y);          if(m==0) M(x,y) else L(x,y) if(x>4.03||y>4.03) break;} fprintf(o,".032 W 1 0 1 RGB S\n");
- DO(m,700){y=-4.02+.02*m; x=exp(exp(y));     if(m==0) M(x,y) else L(x,y) if(x>4.03||y>4.03) break;} fprintf(o,".032 W 1 0 1 RGB S\n");
- DO(m,700){y=-4.02+.02*m; x=exp(exp(exp(y)));if(m==0) M(x,y) else L(x,y) if(x>4.03||y>4.03) break;} fprintf(o,".032 W 1 0 1 RGB S\n");
- for(n=0;n<34;n+=1) {DO(m,700){x=-4.01 +.02*m; y=Re(FSLOG(x)); y=Re(FSEXP(.1*n+y)); if(m==0) M(x,y) else L(x,y) if(x>4.03||y>4.03) break;}}
- for(n=-33;n<0;n+=1){t=Re(FSEXP( FSLOG(-4.)-.1*n));
-                     DO(m,700){x=t +.02*m; y=Re(FSLOG(x)); y=Re(FSEXP(.1*n+y)); if(m==0) M(x,y) else L(x,y) if(x>4.03||y>4.03) break;}}
-   fprintf(o,".01 W 0 0 0 RGB S\n");
- fprintf(o,"showpage\n"); fprintf(o,"%c%cTrailer\n",'%','%');  fclose(o);
-       system("epstopdf ExpIte4.eps");
-       system(    "open ExpIte4.pdf"); //for macintosh
-       getchar(); system("killall Preview"); // For macintosh
- }
-==[[Latex]] generator of labels==
-%<nowiki> %<br>
-% file PowPlo.pdf should be generated with the code above in order to compile the Latex document below. %<br>
-% Copyleft 2012 by Dmitrii Kouznetsov <br> %
-\documentclass[12pt]{article}  % <br>
-\usepackage{geometry}  % <br>
-\usepackage{graphicx} % <br>
-\usepackage{rotating} % <br>
-\paperwidth 806pt % <br>
-\paperheight 806pt % <br>
-\topmargin -105pt % <br>
-\oddsidemargin -73pt % <br>
-\textwidth 1100pt % <br>
-\textheight 1100pt % <br>
-\pagestyle {empty} % <br>
-\newcommand \sx {\scalebox} % <br>
-\newcommand \rot {\begin{rotate}} % <br>
-\newcommand \ero {\end{rotate}} % <br>
-\newcommand \ing {\includegraphics} % <br>
-\parindent 0pt%  <br>
-\pagestyle{empty} % <br>
-\begin{document}  % <br>
-\begin{picture}(802,802) % <br>
-%\put(10,10){\ing{PowPlo}} % <br>
-%\put(0,0){\ing{TraItu3}} % <br>
-\put(0,0){\ing{ExpIte4}} % <br>
-\put(411,788){\sx{3}{$y$}} % <br>
-\put(411,693.6){\sx{2.9}{$3$}} % <br>
-\put(411,593.4){\sx{2.9}{$2$}} % <br>
-\put(411,493.2){\sx{2.9}{$1$}} % <br>
-\put(411,393){\sx{2.9}{$0$}} % <br>
-\put(407,292.8){\sx{2.9}{$-1$}} % <br>
-\put(407,192.6){\sx{2.9}{$-2$}} % <br>
-\put(407,092.4){\sx{2.9}{$-3$}} % <br>
- % <br>
-\put(081,408){\sx{2.9}{$-3$}} % <br>
-\put(181,408){\sx{2.9}{$-2$}} % <br>
-\put(281,408){\sx{2.9}{$-1$}} % <br>
-\put(396,408){\sx{2.9}{$0$}} % <br>
-\put(497,408){\sx{2.9}{$1$}} % <br>
-\put(597,408){\sx{2.9}{$2$}} % <br>
-\put(697,408){\sx{2.9}{$3$}} % <br>
-\put(787,408){\sx{3}{$x$}} % <br>
- % <br>
-\put(6,748){\sx{3}{\rot{4}$n\!=\!3.2$\ero}} % <br>
-\put(6,708){\sx{3}{\rot{3}$n\!=\!3.1$\ero}} % <br>
-\put(6,675){\sx{3}{\rot{3}$n\!=\!3$\ero}} % <br>
-\put(5,643){\sx{3}{\rot{3}$n\!=\!2.9$\ero}} % <br>
-\put(6,345){\sx{3}{\rot{1}$n\!=\!0.6$\ero}} % <br>
-%
-\put(7,308){\sx{3}{\rot{4}$n\!=\!0.4$\ero}} % <br>
-\put(7,280){\sx{3}{\rot{5}$n\!=\!0.3$\ero}} % <br>
-\put(8,242){\sx{3}{\rot{9}$n\!=\!0.2$\ero}} % <br>
-\put(9,185){\sx{3}{\rot{11}$n\!=\!0.1$\ero}} % <br>
- % <br>
-\put(50,36){\sx{3}{\rot{45}$n\!=\!0$\ero}} % <br>
-% <br>
-\put(202,5){\sx{3}{\rot{76}$n\!=\!-0.1$\ero}} % <br>
-\put(263,5){\sx{3}{\rot{82}$n\!=\!-0.2$\ero}} % <br>
-\put(299,5){\sx{3}{\rot{84}$n\!=\!-0.3$\ero}} % <br>
-\put(691,5){\sx{3}{\rot{84}$n\!=\!-3$\ero}} % <br>
-\put(724,5){\sx{3}{\rot{83}$n\!=\!-3.1$\ero}} % <br>
-\put(764,5){\sx{3}{\rot{82}$n\!=\!-3.2$\ero}} % <br>
- % <br>
-\put(480,600){\sx{3.6}{\rot{69}$y\!=\!\exp(x)$\ero}} % <br>
-\put(641,630){\sx{3.4}{\rot{44}$y\!=\!x$\ero}} % <br>
-\put(650,484){\sx{3.6}{\rot{19}$y\!=\!\ln(x)$\ero}} % <br>
-\end{picture} % <br>
-\end{document} % <br>
-%</nowiki>
-[[Category:Exp]]
-[[Category:Log]]
-[[Category:Iteration]]
-[[Category:Tetration]]
-[[Category:ArcTetration]]
-[[Category:Superfunction]]
-[[Category:Transfer function]]
-[[Category:Explicit plot]]
-[[Category:C++]]
-[[Category:Latex]]
-== Licensing ==
-{{CC|by|3.0}}