Difference between revisions of "File:ArcLambertWplot.png"
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| + | #REDIRECT [[File:ZexPlot.png]] |
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| − | [[Explicit plot]] of the [[LambertW function|ArcLambertW]] function, |
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| − | : $\mathrm{ArcLambertW}(x)=x\cdot \exp(x)$ |
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| − | |||
| − | ==Generators== |
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| − | |||
| − | ===[[C++]] generator of the curve=== |
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| − | |||
| − | File [[ado.cin]] |
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| − | |||
| − | void ado(FILE *O, int X, int Y) |
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| − | { fprintf(O,"%c!PS-Adobe-2.0 EPSF-2.0\n",'%'); |
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| − | fprintf(O,"%c%cBoundingBox: 0 0 %d %d\n",'%','%',X,Y); |
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| − | fprintf(O,"/M {moveto} bind def\n"); |
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| − | fprintf(O,"/L {lineto} bind def\n"); |
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| − | fprintf(O,"/S {stroke} bind def\n"); |
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| − | fprintf(O,"/s {show newpath} bind def\n"); |
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| − | fprintf(O,"/C {closepath} bind def\n"); |
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| − | fprintf(O,"/F {fill} bind def\n"); |
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| − | fprintf(O,"/o {.1 0 360 arc C S} bind def\n"); |
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| − | fprintf(O,"/times-Roman findfont 20 scalefont setfont\n"); |
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| − | fprintf(O,"/W {setlinewidth} bind def\n"); |
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| − | fprintf(O,"/RGB {setrgbcolor} bind def\n");} |
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| − | |||
| − | should be loaded (if not yet loaded) to the current directory in odrer 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"ado.cin" |
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| − | #define M(x,y) fprintf(o,"%5.3f %5.3f M\n",0.+x,0.+y); |
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| − | #define L(x,y) fprintf(o,"%5.3f %5.3f L\n",0.+x,0.+y); |
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| − | |||
| − | main(){ int j,k,m,n; DB x,y, a; |
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| − | FILE *o;o=fopen("arclambertw.eps","w");ado(o,410,408); |
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| − | fprintf(o,"304 104 translate\n 100 100 scale\n"); |
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| − | for(m=-3;m<2;m++){ M(m,-1)L(m,3)} |
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| − | for(n=-1;n<4;n++){ M(-3,n)L(1,n)} |
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| − | fprintf(o,".01 W 0 0 0 RGB S\n"); |
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| − | for(n=0;n<410;n+=2){x=-3.02+.01*n; y=x*exp(x); if(n==0)M(x,y) else L(x,y) } |
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| − | fprintf(o,".03 W 0 .8 0 RGB S\n"); |
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| − | M( 1, M_E) L(0, M_E) |
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| − | M(-1,-1./M_E) L(0,-1./M_E) |
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| − | fprintf(o,".005 W 0 0 0 RGB S\n"); |
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| − | fprintf(o,"showpage\n%cTrailer",'%'); fclose(o); |
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| − | system("epstopdf arclambertw.eps"); |
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| − | system( "open arclambertw.pdf"); //these 2 commands may be specific for macintosh |
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| − | getchar(); system("killall Preview");// if run at another operational sysetm, may need to modify |
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| − | } |
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| − | |||
| − | ===[[Latex]] generator of the lables=== |
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| − | <nowiki> |
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| − | % Copyleft 2011 by Dmitrii Kouznetsov%<br> |
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| − | \documentclass[12pt]{article} %<br> |
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| − | \usepackage{geometry} %<br> |
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| − | \usepackage{graphicx} %<br> |
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| − | \usepackage{rotating} %<br> |
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| − | \paperwidth 410pt %<br> |
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| − | \paperheight 404pt %<br> |
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| − | \topmargin -103pt %<br> |
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| − | \oddsidemargin -94pt %<br> |
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| − | \textwidth 1200pt %<br> |
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| − | \textheight 600pt %<br> |
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| − | \pagestyle {empty} %<br> |
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| − | \newcommand \sx {\scalebox} %<br> |
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| − | \newcommand \rot {\begin{rotate}} %<br> |
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| − | \newcommand \ero {\end{rotate}} %<br> |
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| − | \newcommand \ing {\includegraphics} %<br> |
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| − | \begin{document} %<br> |
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| − | { \begin{picture}(408,410) %<br> |
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| − | \put(1,9){\ing{arclambertw}} %<br> |
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| − | \put(288,398){\sx{2.9}{$y$}} %<br> |
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| − | \put(309,378){\sx{3.1}{$\mathrm e$}} %<br> |
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| − | \put(288,303){\sx{2.8}{$2$}} %<br> |
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| − | \put(288,203){\sx{2.8}{$1$}} %<br> |
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| − | \put(288,103){\sx{2.8}{$0$}} %<br> |
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| − | \put(309,70){\sx{2.6}{$-\!1/\mathrm e$}} %<br> |
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| − | \put( 86, 90){\sx{2.5}{$-\!2$}} %<br> |
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| − | \put(186,90){\sx{2.5}{$-\!1$}} %<br> |
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| − | % \put(300,-9){\sx{2.5}{$0$}} %<br> |
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| − | \put(398,90){\sx{2.6}{$x$}} %<br> |
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| − | \end{picture} %<br> |
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| − | } %<br> |
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| − | \end{document} |
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| − | </nowiki> |
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| − | |||
| − | ==References== |
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| − | <references/> |
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| − | |||
| − | [[Category:LambertW]] |
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| − | [[Category:LambertW function]] |
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| − | [[Category:Inverse functions]] |
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| − | [[Category:Special functions]] |
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| − | [[Category:Explicit plots]] |
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Latest revision as of 08:29, 1 December 2018
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