Manchmal muss man in einem Diagramm Bereiche hashen, um anschaulich darzustellen, was die Domänen sind. Gibt es eine elegante Möglichkeit, diese Hash-Bereiche mit einer Anweisung ähnlich der Rechteck-Anweisung zu erstellen? Wäre es möglich, das Innere einer beliebigen Form zu hashen? Und es wäre toll, wenn der Hash automatisch Lücken zulassen würde, wenn die Notation überlagert werden müsste (wie für x und 1 in meinem MWE)... Ich kenne das Muster=Nordost-Linien, aber das ist zu starr, ich kann den Abstand zwischen den Linien nicht steuern. Mein MWE ist etwas wortreich, tut mir leid...
\documentclass{standalone}
\usepackage{pgfplots}
\usetikzlibrary{arrows}
\begin{document}
\resizebox{7.0cm}{!}{
\begin{tikzpicture}[>=triangle 45]% functia PUTERE 2^x
%\clip (-0.5,-0.5) rectangle (4.0,4.0);
% grid
%\draw[step = 0.1cm, gray, ultra thin] (-5.0, -1.0) grid (4.0, 0.0);
%
% HASH lines for y < 0
%
\draw[red, line width=1.00pt] (-5.0, -0.1) -- (-4.9, 0.0);
\draw[red, line width=1.00pt] (-5.0, -0.5) -- (-4.5, 0.0);
\draw[red, line width=1.00pt] (-5.0, -1.0) -- (-4.0, 0.0);
\draw[red, line width=1.00pt] (-4.5, -1.0) -- (-3.5, 0.0);
\draw[red, line width=1.00pt] (-4.0, -1.0) -- (-3.0, 0.0);
\draw[red, line width=1.00pt] (-3.5, -1.0) -- (-2.5, 0.0);
\draw[red, line width=1.00pt] (-3.0, -1.0) -- (-2.0, 0.0);
\draw[red, line width=1.00pt] (-2.5, -1.0) -- (-1.5, 0.0);
\draw[red, line width=1.00pt] (-2.0, -1.0) -- (-1.0, 0.0);
\draw[red, line width=1.00pt] (-1.5, -1.0) -- (-0.5, 0.0);
\draw[red, line width=1.00pt] (-1.0, -1.0) -- (0.0, 0.0);
\draw[red, line width=1.00pt] (-0.5, -1.0) -- (0.5, 0.0);
% gap for x notation
\draw[red, line width=1.00pt] (0.0, -1.0) -- (0.4, -0.6);
\draw[red, line width=1.00pt] (0.7, -0.3) -- (1.0, 0.0);
%
\draw[red, line width=1.00pt] (0.5, -1.0) -- (1.5, 0.0);
\draw[red, line width=1.00pt] (1.0, -1.0) -- (2.0, 0.0);
\draw[red, line width=1.00pt] (1.5, -1.0) -- (2.5, 0.0);
\draw[red, line width=1.00pt] (2.0, -1.0) -- (3.0, 0.0);
\draw[red, line width=1.00pt] (2.5, -1.0) -- (3.5, 0.0);
\draw[red, line width=1.00pt] (3.0, -1.0) -- (4.0, 0.0);
\draw[red, line width=1.00pt] (3.5, -1.0) -- (4.0, -0.5);
\draw[red, line width=1.00pt] (3.9, -1.0) -- (4.0, -0.9);
%
%
\coordinate (OR) at (0.00, 0.00);
\coordinate (LX) at (-5.00, 0.00); % left x
\coordinate (RX) at (4.00, 0.00); % right x
\coordinate (BY) at (0.00, -1.00); % bottom y
\coordinate (TY) at (0.00, 8.00);
%
% axa 0x
%
\draw[->][line width=1.00pt] (LX) -- (RX);
\node[violet] at (3.8,-0.4) {\textbf{\textit{x}}};
%
% axa 0y
%
\draw[->][line width=1.00pt] (BY) -- (TY);
\node[right,violet] at (0.2, 8.0) {{\boldmath$a^{\raisebox{+4.0pt}{$\scriptstyle{x}$}}$}};
\node[right,violet] at (0.1, 7.3) {{\boldmath$(a \,=\, 2)$}};
%
% ORIGINE
% points on the graphic
\filldraw [red] (OR) circle(2pt);
\node[violet] at (-0.2,-0.3) {\textbf{\textit{0}}};
%
% COORDONATE -- numerotare axa Ox POZITIVA
%
\draw[violet,line width=1pt] (0.50, -0.10) -- (0.50, 0.10); % x = 0.5
\node[violet] at (0.50, -0.40) {\textbf{\textit{x}}};
\draw[violet,line width=0.75pt,dotted] (0.50, 0.00) -- (0.50, 1.4142);
\filldraw [violet] (0.50, 1.4142) circle(2pt);
\node[above,violet] at (0.50, 1.4142) {\textbf{\textit{a\textsuperscript{x}}}};
%
\draw[line width=1pt] (1.00, -0.10) -- (1.00, 0.10); % x1
\node at (1.00, -0.40) {$\scriptstyle{1}$};
\draw[line width=1pt] (2.00, -0.10) -- (2.00, 0.10); % x2
\node at (2.00, -0.40) {$\scriptstyle{2}$};
\draw[line width=1pt] (3.00, -0.10) -- (3.00, 0.10); % x3
\node at (3.00, -0.40) {$\scriptstyle{3}$};
%
% COORDONATE -- numerotare axa Ox NEGATIVA
%
\draw[line width=1pt] (-1.00, -0.10) -- (-1.00, 0.10); % -x1
\node at (-1.10, -0.40) {$\scriptstyle{-1}$};
\draw[line width=1pt] (-2.00, -0.10) -- (-2.00, 0.10); % -x2
\node at (-2.10, -0.40) {$\scriptstyle{-2}$};
\draw[line width=1pt] (-3.00, -0.10) -- (-3.00, 0.10); % -x3
\node at (-3.10, -0.40) {$\scriptstyle{-3}$};
\draw[line width=1pt] (-4.00, -0.10) -- (-4.00, 0.10); % -x4
\node at (-4.10, -0.40) {$\scriptstyle{-4}$};
%
%
% COORDONATE -- numerotare axa Oy POZITIVA
%
\draw[line width=1.00pt] (-0.1, 1.00) -- (0.10, 1.00); % y1
\node at (-0.40, 1.00) {$\scriptstyle{1}$};
\draw[line width=1.00pt] (-0.1, 2.00) -- (0.10, 2.00); % y2
\node at (-0.40, 2.00) {$\scriptstyle{2}$};
\draw[line width=1.00pt] (-0.1, 3.00) -- (0.10, 3.00); % y3
\node at (-0.40, 3.00) {$\scriptstyle{3}$};
\draw[line width=1.00pt] (-0.1, 4.00) -- (0.10, 4.00); % y4
\node at (-0.40, 4.00) {$\scriptstyle{4}$};
\draw[line width=1.00pt] (-0.1, 5.00) -- (0.10, 5.00); % y5
\node at (-0.40, 5.00) {$\scriptstyle{5}$};
\draw[line width=1.00pt] (-0.1, 6.00) -- (0.10, 6.00); % y6
\node at (-0.40, 6.00) {$\scriptstyle{6}$};
\draw[line width=1.00pt] (-0.1, 7.00) -- (0.10, 7.00); % y7
\node at (-0.40, 7.00) {$\scriptstyle{7}$};
%
% COORDONATE -- numerotare axa Oy NEGATIVA
%
% GRAFICUL functiei 2^x
%
\draw[violet, line width=1.75pt, domain=-5.00:3.00] plot[smooth](\x, {2^(\x)});
%
% filled circles
%
\filldraw [blue] (0.0,1.0) circle(2pt);
%
\end{tikzpicture}
}
%
\hspace*{1.0cm}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\resizebox{8.0cm}{!}{
\begin{tikzpicture}[>=triangle 45]%functia LOGARITM ln x
% grid
%\draw[step = 0.1cm, gray, ultra thin] (-1.0, 0.0) grid (0.0, 2.0);
%
% HASH lines for x < 0
%
\draw[red, line width=1.00pt] (-1.0, 2.9) -- (-0.9, 3.0);
\draw[red, line width=1.00pt] (-1.0, 2.5) -- (-0.5, 3.0);
\draw[red, line width=1.00pt] (-1.0, 2.0) -- (0.0, 3.0);
\draw[red, line width=1.00pt] (-1.0, 1.5) -- (0.0, 2.5);
\draw[red, line width=1.00pt] (-1.0, 1.0) -- (0.0, 2.0);
% gap for 1
\draw[red, line width=1.00pt] (-1.0, 0.5) -- (-0.5, 1.0);
\draw[red, line width=1.00pt] (-0.3, 1.2) -- (0.0, 1.5);
%
\draw[red, line width=1.00pt] (-1.0, 0.0) -- (0.0, 1.0);
\draw[red, line width=1.00pt] (-1.0, -0.5) -- (0.0, 0.5);
\draw[red, line width=1.00pt] (-1.0, -1.0) -- (0.0, 0.0);
\draw[red, line width=1.00pt] (-1.0, -1.5) -- (0.0, -0.5);
\draw[red, line width=1.00pt] (-1.0, -2.0) -- (0.0, -1.0);
\draw[red, line width=1.00pt] (-1.0, -2.5) -- (0.0, -1.5);
\draw[red, line width=1.00pt] (-1.0, -3.0) -- (0.0, -2.0);
\draw[red, line width=1.00pt] (-1.0, -3.5) -- (0.0, -2.5);
\draw[red, line width=1.00pt] (-1.0, -4.0) -- (0.0, -3.0);
\draw[red, line width=1.00pt] (-1.0, -4.5) -- (0.0, -3.5);
\draw[red, line width=1.00pt] (-1.0, -5.0) -- (0.0, -4.0);
\draw[red, line width=1.00pt] (-1.0, -4.5) -- (0.0, -3.5);
\draw[red, line width=1.00pt] (-1.0, -5.0) -- (0.0, -4.0);
\draw[red, line width=1.00pt] (-0.5, -5.0) -- (0.0, -4.5);
\draw[red, line width=1.00pt] (-0.1, -5.0) -- (0.0, -4.9);
%
% LOGARITM function
%
%\clip (-0.5,-0.5) rectangle (4.0,4.0);
%
% grid, drawn with a step in a specified rectangle
%\draw[step = 0.1cm, gray, ultra thin] (-1.0, -5.0) grid (0.0,3.0);
%
%\draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
%
%
%\begin{comment}
%
\coordinate (OR) at (0.00, 0.00);
\coordinate (LX) at (-1.00, 0.00);
\coordinate (RX) at (8.00, 0.00);
\coordinate (BY) at (0.00, -5.00);
\coordinate (TY) at (0.00, 3.00);
%
% axa 0x
%
\draw[->][line width=1.00pt] (LX) -- (RX);
\node[blue] at (7.8,-0.4) {\textbf{\textit{x}}};
%
% axa 0y
%
\draw[->][line width=1.00pt] (BY) -- (TY);
\node[right,blue] at (0.2, 2.8) {\textbf{\textit{ln x}}};
%
% ORIGIN
% points on the graphic
\filldraw [red] (OR) circle(2pt);
\node[red] at (0.2,-0.3) {\textbf{\textit{0}}};
%
% COORDONATE -- numerotare axa Ox POZITIVA
%
\draw[line width=1pt] (1.00, -0.10) -- (1.00, 0.10); % x1
\node at (1.00, -0.40) {$\scriptstyle{1}$};
\draw[line width=1pt] (2.00, -0.10) -- (2.00, 0.10); % x2
\node at (2.00, -0.40) {$\scriptstyle{2}$};
\draw[line width=1pt] (3.00, -0.10) -- (3.00, 0.10); % x3
\node at (3.00, -0.40) {$\scriptstyle{3}$};
\draw[line width=1pt] (4.00, -0.10) -- (4.00, 0.10); % x4
\node at (4.00, -0.40) {$\scriptstyle{4}$};
\draw[line width=1pt] (5.00, -0.10) -- (5.00, 0.10); % x5
\node at (5.00, -0.40) {$\scriptstyle{5}$};
\draw[line width=1pt] (6.00, -0.10) -- (6.00, 0.10); % x6
\node at (6.00, -0.40) {$\scriptstyle{6}$};
\draw[line width=1pt] (7.00, -0.10) -- (7.00, 0.10); % x7
\node at (7.00, -0.40) {$\scriptstyle{7}$};
%
% COORDONATE -- numerotare axa Ox NEGATIVA
%
% COORDONATE -- numerotare axa Oy POZITIVA
%
\draw[magenta, line width=1.00pt] (-0.1, 1.00) -- (0.10, 1.00); % y1
\node[magenta] at (-0.40, 1.00) {$1$};
\draw[line width=1.00pt] (-0.1, 2.00) -- (0.10, 2.00); % y2
\node at (-0.40, 2.00) {$\scriptstyle{2}$};
%
% COORDONATE -- numerotare axa Oy NEGATIVA
%
\draw[line width=1.00pt] (-0.1, -1.00) -- (0.10, -1.00); % y1
\node at (-0.40, -1.00) {$\scriptstyle{-1}$};
\draw[line width=1.00pt] (-0.1, -2.00) -- (0.10, -2.00); % y2
\node at (-0.40, -2.00) {$\scriptstyle{-2}$};
\draw[line width=1.00pt] (-0.1, -3.00) -- (0.10, -3.00); % y3
\node at (-0.40, -3.00) {$\scriptstyle{-3}$};
\draw[line width=1.00pt] (-0.1, -4.00) -- (0.10, -4.00); % y4
\node at (-0.40, -4.00) {$\scriptstyle{-4}$};
\draw[line width=1.00pt] (-0.1, -5.00) -- (0.10, -5.00); % y5
\node at (-0.40, -5.00) {$\scriptstyle{-5}$};
%
% COORDINATES for drawing
%
%
\coordinate (EE) at (2.7182, 0.00);
\coordinate (PI) at (3.1415, 0.00);
%
% GRAFICUL functiei LOGARITM
%
\draw[blue, line width=1.75pt, domain=0.01:7.00, samples=500] plot[smooth](\x, {ln(\x)});
%
% filled circles
%
\filldraw [red] (1.00, 0.00) circle(2pt);
%
% punctul e
%
\filldraw [magenta] (EE) circle(2pt);
\node[magenta] at (2.7182, -0.30) {\textbf{\textit{e}}};
\draw[magenta, dotted, line width=1.00pt] (2.7182, 0.00) -- (2.7182, 1.00); % e
\draw[magenta, dotted, line width=1.00pt] (0.00, 1.00) -- (2.7182, 1.00); % e
\filldraw [magenta] (2.7182, 1.00) circle(2pt);
%
\end{tikzpicture}
}
\end{document}
Antwort1
Der nächste Code zeigt, wie Sie „define a“ patternmit „user defined“ \hatchthicknessund „user defined“ verwenden \hatchdistance. Dieses Muster wurde übernommen vonMuster in Tikz-Formen mit Schlagschatten verwenden
Dieses Muster wird für filleinen rechteckigen Knoten verwendet, der in der Hintergrundebene gezeichnet wird:
\begin{scope}[on background layer]
\node[fit={(-5,0) (4,-1)}, inner sep=0pt, Pattern] {};
\end{scope}
Das Muster berücksichtigt nicht alle Knoten, die darüber lesbar sein müssen, holesaber Sie können sie verwenden :fill=white
\node[violet,fill=white] at (3.8,-0.4) {\textbf{\textit{x}}};
Ihr Code wurde mit der Musterdefinition reduziert, aber auch durch die Verwendung einiger \foreachSchleifen zum Zeichnen ticks. Und ich denke, er könnte noch weiter reduziert werden, wenn Sie verwenden würden pgfplots, was geladen, aber nie verwendet wird.
Der nächste Code zeigt nur die linke Abbildung. Die rechte kann leicht mit ähnlichen Tools erhalten werden.
\documentclass[border=3mm,tikz]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{arrows,patterns,backgrounds,fit}
\makeatletter
\tikzset{% customization of pattern
% based on <m.wibrow@gm...> - 2013-03-24 07:20:
hatch distance/.store in=\hatchdistance,
hatch distance=5pt,
hatch thickness/.store in=\hatchthickness,
hatch thickness=5pt
}
\pgfdeclarepatternformonly[\hatchdistance,\hatchthickness]{north east hatch}% name
{\pgfqpoint{-1pt}{-1pt}}% below left
{\pgfqpoint{\hatchdistance}{\hatchdistance}}% above right
{\pgfpoint{\hatchdistance-1pt}{\hatchdistance-1pt}}%
{
\pgfsetcolor{\tikz@pattern@color}
\pgfsetlinewidth{\hatchthickness}
\pgfpathmoveto{\pgfqpoint{0pt}{0pt}}
\pgfpathlineto{\pgfqpoint{\hatchdistance}{\hatchdistance}}
\pgfusepath{stroke}
}
\makeatother
\tikzset{Pattern/.style={pattern=north east hatch,
pattern color=red, hatch distance=3mm,
hatch thickness=1pt}}
\begin{document}
%\resizebox{7.0cm}{!}{
\begin{tikzpicture}[>=triangle 45]% functia PUTERE 2^x
%\clip (-0.5,-0.5) rectangle (4.0,4.0);
% grid
%\draw[step = 0.1cm, gray, ultra thin] (-5.0, -1.0) grid (4.0, 0.0);
%
%
\coordinate (OR) at (0.00, 0.00);
\coordinate (LX) at (-5.00, 0.00); % left x
\coordinate (RX) at (4.00, 0.00); % right x
\coordinate (BY) at (0.00, -1.00); % bottom y
\coordinate (TY) at (0.00, 8.00);
%
% axa 0x
%
\draw[->][line width=1.00pt] (LX) -- (RX);
\node[violet,fill=white] at (3.8,-0.4) {\textbf{\textit{x}}};
%
% axa 0y
%
\draw[->][line width=1.00pt] (BY) -- (TY);
\node[right,violet] at (0.2, 8.0) {{\boldmath$a^{\raisebox{+4.0pt}{$\scriptstyle{x}$}}$}};
\node[right,violet] at (0.1, 7.3) {{\boldmath$(a \,=\, 2)$}};
%
% ORIGINE
% points on the graphic
\filldraw [red] (OR) circle(2pt);
\node[violet,fill=white] at (-0.2,-0.3) {\textbf{\textit{0}}};
%
% COORDONATE -- numerotare axa Ox POZITIVA
%
\draw[violet,line width=1pt] (0.50, -0.10) -- (0.50, 0.10); % x = 0.5
\node[violet,fill=white] at (0.50, -0.40) {\textbf{\textit{x}}};
\draw[violet,line width=0.75pt,dotted] (0.50, 0.00) -- (0.50, 1.4142);
\filldraw [violet] (0.50, 1.4142) circle(2pt);
\node[above,violet] at (0.50, 1.4142) {\textbf{\textit{a\textsuperscript{x}}}};
%
\foreach \i in {-4,...,-1,1,2,3}{
\draw[line width=1pt] (1.00*\i, -0.10) -- ++(90:0.20); % x1
\node[fill=white] at (1.00*\i, -0.40) {$\scriptstyle{\i}$};}
%
% COORDONATE -- numerotare axa Oy POZITIVA
%
\foreach \i in {1,...,7}{
\draw[line width=1.00pt] (-0.1, \i) -- ++(0:0.20); % y1
\node at (-0.40, \i) {$\scriptstyle{\i}$};
}
%
% COORDONATE -- numerotare axa Oy NEGATIVA
%
% GRAFICUL functiei 2^x
%
\draw[violet, line width=1.75pt, domain=-5.00:3.00] plot[smooth](\x, {2^(\x)});
%
% filled circles
%
\filldraw [blue] (0.0,1.0) circle(2pt);
%
\begin{scope}[on background layer]
\node[fit={(-5,0) (4,-1)}, inner sep=0pt, Pattern] {};
\end{scope}
\end{tikzpicture}
Aktualisieren
Dank Gonzalo Medina haben wir eine pgfplotsVersion für diese Figur:
\documentclass[border=3mm,tikz]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{arrows,patterns,backgrounds,fit}
\makeatletter
\tikzset{% customization of pattern
% based on <m.wibrow@gm...> - 2013-03-24 07:20:
hatch distance/.store in=\hatchdistance,
hatch distance=5pt,
hatch thickness/.store in=\hatchthickness,
hatch thickness=5pt
}
\pgfdeclarepatternformonly[\hatchdistance,\hatchthickness]{north east hatch}% name
{\pgfqpoint{-1pt}{-1pt}}% below left
{\pgfqpoint{\hatchdistance}{\hatchdistance}}% above right
{\pgfpoint{\hatchdistance-1pt}{\hatchdistance-1pt}}%
{
\pgfsetcolor{\tikz@pattern@color}
\pgfsetlinewidth{\hatchthickness}
\pgfpathmoveto{\pgfqpoint{0pt}{0pt}}
\pgfpathlineto{\pgfqpoint{\hatchdistance}{\hatchdistance}}
\pgfusepath{stroke}
}
\makeatother
\tikzset{Pattern/.style={pattern=north east hatch,
pattern color=#1, hatch distance=3mm,
hatch thickness=1pt}}
\begin{document}
\begin{tikzpicture}[>=triangle 45]
\begin{axis}[
axis lines=middle,
ymax=8,
ymin=-1,
xmax=3.5,
clip=false,
xtick={-4,-3,...,3},
ytick={1,2,...,8},
x tick label style={fill=white}
]
\addplot[violet, line width=1.75pt, domain=-5.00:3.00] {2^(x)};
\node[violet,fill=white]
at (axis cs:3.8,-0.4) {\textbf{\textit{x}}};
\node[right,violet]
at (axis cs:0.2, 8.0)
{{\boldmath$a^{x}$}};
\node[right,violet]
at (axis cs:0.1, 7.3) {{\boldmath$(a \,=\, 2)$}};
\filldraw[red] (axis cs:0,0) circle(2pt);
\draw[violet,line width=0.75pt,dotted]
(axis cs:0.50, 0.00) -- (axis cs:0.50, 1.4142);
\filldraw[violet] (axis cs:0.50, 1.4142) circle(2pt)
node[above,violet]
at (axis cs:0.50, 1.4142)
{\textbf{\textit{a\textsuperscript{x}}}};
\filldraw[blue] (axis cs:0.0,1.0) circle(2pt);
\begin{scope}[on background layer]
\node[fit={(axis cs:-5,0) (axis cs:3.5,-1.3)}, inner sep=0pt, Pattern=cyan] {};
\end{scope}
\end{axis}
\end{tikzpicture}
\end{document}
was ergibt:
Antwort2
Ich habe mir erlaubt, eines der Beispiele aus dem mfpicPaket zu zeichnen, das mit einem Makro geliefert wird, das genau für diese Art von Problemen entwickelt wurde:
\thatch[<hatchsp>,<angle>][<color>]<closed path>
Es füllt jeden geschlossenen Pfad mit Linien im <angle>Winkel von , die voneinander einen Abstand von haben hatchsp. Ein weiteres Makro, \hatchwd{}Makro gibt die Breite dieser Linien an. Es gibt auch zwei andere Schraffurmakros als Varianten von \thatchmit vordefinierten Winkeln, \rhatch(von unten links nach oben rechts) und \lhatch(von unten rechts nach oben links).
In diesem Beispiel werden die gesamten Schraffurarbeiten mit den folgenden Anweisungen ausgeführt:
\hatchwd{1pt}
\rhatch[3mm][Cyan]\rect{(\xmin, \ymin), (\xmax, 0)}
Der vollständige Code:
\documentclass{scrartcl}
\usepackage{multido, xcolor}
\usepackage[metapost, clip, overlaylabels]{mfpic}
\setlength{\mfpicunit}{1cm}
\opengraphsfile{\jobname}
\begin{document}
\begin{mfpic}[1]{-7}{3.9}{-1.5}{8.9}
% Function
\penwd{1pt}
\fdef{f}{x}{2**x}
\draw[magenta]\function{\xmin, \xmax, 0.05}{f(x)}
% Hatching
\hatchwd{1pt}
\rhatch[3mm][Cyan]\rect{(\xmin, \ymin), (\xmax, 0)}
% Axes and marks
\penwd{.5pt}
\doaxes{xy}
\xmarks{ceiling(\xmin) upto -1}\xmarks{1 upto floor(\xmax)}
\ymarks{ceiling(\ymin) upto -1}\ymarks{2 upto floor(\ymax)}
\pointcolor{red}\point[4pt]{(0, 0)}
\pointcolor{blue}\point[4pt]{(0, 1)}
% Labels
\setrender{\gclear}
\tlpointsep{3pt}
\tlabelrect[][tr](0, 0){$O$}
\tlabelrect[][tc](\xmax, 0){$x$}
\tlabel[cr](0, \ymax){$y$}
\tlpointsep{6pt}
\tlpathsep{1pt}
\multido{\i=\xmin+1}{-\xmin}{\tlabelrect[][tc](\i, 0){$\i$}}
\multido{\i=1+1}{\xmax}{\tlabelrect[][tc](\i, 0){$\i$}}
\multido{\i=1+1}{\ymax}{\tlabel[cr](0, \i){$\i$}}
\tlabelrect[][cr](0, -1){$-1$}
\drawcolor{magenta}
\dashed\lines{(0.5, 0), (0.5, 1.414)}
\tlabel[cr](3, 8){\textcolor{magenta}{$a^x (a=2)$}}
\tlabel[bc](0.5, 1.414){\textcolor{magenta}{$a^x$}}
\tlabelrect[][tc](0.5, 0){\textcolor{magenta}{$x$}}
\end{mfpic}
\closegraphsfile
\end{document}
Zuerst mit LaTeX kompiliert werden (unabhängig von der Engine), dann die resultierende .mpDatei mit MetaPost und dann die .texDatei noch einmal mit LaTeX.
