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authorNorbert Preining <preining@logic.at>2006-10-07 22:54:05 +0000
committerNorbert Preining <preining@logic.at>2006-10-07 22:54:05 +0000
commit1b6cea470ecac795dbf4efe7b66abe6da4058c2f (patch)
tree883c420d6ca2a94bfb1835771dbd2e83d0763baf /Master
parent786d68888e249e843f432c26147c611b7f05b62b (diff)
update mathmode
git-svn-id: svn://tug.org/texlive/trunk@2275 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master')
-rw-r--r--Master/texmf-doc/doc/english/mathmode/Changes7
-rw-r--r--Master/texmf-doc/doc/english/mathmode/Mathmode.ltx22
-rw-r--r--Master/texmf-doc/doc/english/mathmode/Mathmode.pdf41087
-rw-r--r--Master/texmf-doc/doc/english/mathmode/Mathmode.tex1108
-rwxr-xr-xMaster/texmf-doc/doc/english/mathmode/pstricks-add.tex3004
-rw-r--r--Master/texmf-doc/tpm/mathmode.tpm9
-rw-r--r--Master/texmf/lists/mathmode1
7 files changed, 22437 insertions, 22801 deletions
diff --git a/Master/texmf-doc/doc/english/mathmode/Changes b/Master/texmf-doc/doc/english/mathmode/Changes
index 9efc0d6e8ad..682e7454917 100644
--- a/Master/texmf-doc/doc/english/mathmode/Changes
+++ b/Master/texmf-doc/doc/english/mathmode/Changes
@@ -1,5 +1,12 @@
..... Mathmode.ltx|tex|bib|ist
+2.19 2006-10-06 - some more infos for the fleqn class option
+ - small fixes to the array environment
+ - added an example for gathered and
+ for boxed rows and columns of arrays
+ - indice in upright font shape
+ - a lot of modifications to the source code
+ - extended index
2.18 2006-09-27 - fix a problem & in align demo
- add a short section of mathtools
2.17 2006-09-25 fix problem with package showexpl
diff --git a/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx b/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx
index 29c92508c93..5c1016e3822 100644
--- a/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx
+++ b/Master/texmf-doc/doc/english/mathmode/Mathmode.ltx
@@ -3,7 +3,7 @@
%%
%% IMPORTANT NOTICE:
%%
-%% Herbert Voss <voss@pstricks.de>
+%% Herbert Voss <hvoss@tug.org>
%% 2005-06-30
%%
%% This program can be redistributed and/or modified under the terms
@@ -154,6 +154,7 @@
\usepackage[allowspaces]{empheq}% defines also harpoon macros
\usepackage{mathtools}
+\usepackage{nicefrac}
\newcommand*{\threesim}{%
\mathrel{\vcenter{\offinterlineskip
@@ -296,16 +297,19 @@
\def\tIndex#1{\index{#1@{\UrlFont\texttt{#1}}}}
\def\cIndex#1{\index{#1@\CMD{#1}}}
\def\pIndex#1{\index{Parameter@\textbf{Parameter}!{\UrlFont\texttt{#1}}}}
-\def\PIndex#1{\index{Paket@\textbf{Paket}!\texttt{#1}}}
+\def\PIndex#1{\texttt{#1}\index{Package@\textbf{Package}!\texttt{#1}}}
\def\Index#1{#1\index{#1}}
-\def\CIndex#1{\CMD{#1}\index{#1@\CMD{#1}}\index{Makro@\textbf{Makro}!\CMD{#1}}}
-\def\DIndex#1{\texttt{#1}\index{#1@\texttt{#1}}\index{Datei@\textbf{Datei}!\texttt{#1}}}
-\def\LIndex#1{\CMD{#1}\index{#1@\CMD{#1}}\index{Laenge@\textbf{Lnge}!\CMD{#1}}}
-\def\ZIndex#1{\texttt{#1}\index{#1@\texttt{#1}}\index{Zhler@\textbf{Zhler}!\texttt{#1}}}
-\def\zIndex#1{\index{#1@\texttt{#1}}\index{Zhler@\textbf{Zhler}!\texttt{#1}}}
+\def\CIndex#1{\CMD{#1}\index{#1@\CMD{#1}}\index{Macro@\textbf{Macro}!\CMD{#1}}}
+\def\DIndex#1{\texttt{#1}\index{#1@\texttt{#1}}\index{File@\textbf{File}!\texttt{#1}}}
+\def\LIndex#1{\CMD{#1}\index{#1@\CMD{#1}}\index{Length@\textbf{Length}!\CMD{#1}}}
+\def\ZIndex#1{\texttt{#1}\index{#1@\texttt{#1}}\index{Counter@\textbf{Counter}!\texttt{#1}}}
+\def\zIndex#1{\index{#1@\texttt{#1}}\index{Counter@\textbf{Counter}!\texttt{#1}}}
\def\FIndex#1{\texttt{#1}\index{#1@\texttt{#1}}\index{Font@\textbf{Font}!\texttt{#1}}}
-\def\UIndex#1{\texttt{#1}-Umgebung\index{Umgebung@\textbf{Umgebung}!\texttt{#1}}\index{#1@\texttt{#1}}}
-\def\uIndex#1{\texttt{#1}\index{Umgebung@\textbf{Umgebung}!\texttt{#1}}\index{#1@\texttt{#1}}}
+\def\UIndex#1{\texttt{#1} environment\index{Environment@\textbf{Environment}!\texttt{#1}}\index{#1@\texttt{#1}}}
+\def\uIndex#1{\texttt{#1}\index{Environment@\textbf{Environment}!\texttt{#1}}\index{#1@\texttt{#1}}}
+%
+\newcommand{\eg}{e.g.,\xspace}
+\newcommand{\Eg}{E.g.,\xspace}
%
%
\def\Mbox#1{\par
diff --git a/Master/texmf-doc/doc/english/mathmode/Mathmode.pdf b/Master/texmf-doc/doc/english/mathmode/Mathmode.pdf
index 9f4723b7cad..7165d369452 100644
--- a/Master/texmf-doc/doc/english/mathmode/Mathmode.pdf
+++ b/Master/texmf-doc/doc/english/mathmode/Mathmode.pdf
@@ -1117,2747 +1117,2772 @@ endobj
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fz)
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trailer
-<< /Size 5533
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-/Info 5532 0 R
-/ID [<E06CBE965B1D65FC6283CC5317924695> <E06CBE965B1D65FC6283CC5317924695>] >>
+<< /Size 5882
+/Root 5880 0 R
+/Info 5881 0 R
+/ID [<8E22CE79251E2A9C748380DC7E78B833> <8E22CE79251E2A9C748380DC7E78B833>] >>
startxref
-2922911
+2994518
%%EOF
diff --git a/Master/texmf-doc/doc/english/mathmode/Mathmode.tex b/Master/texmf-doc/doc/english/mathmode/Mathmode.tex
index 252cde0fd91..2c7ce808a69 100644
--- a/Master/texmf-doc/doc/english/mathmode/Mathmode.tex
+++ b/Master/texmf-doc/doc/english/mathmode/Mathmode.tex
@@ -13,7 +13,7 @@
%% DESCRIPTION:
%% `Mathmode' is a document how the math mode works inside LaTeX
%%
-\def\MathmodeVersion{2.18}
+\def\MathmodeVersion{2.19}
%\ifvtex\title{\logo Math mode - v.\MathmodeVersion}\else
\ifpdf\title{Math mode - v.\MathmodeVersion}\else
\title{\logo Math mode - v.\MathmodeVersion}\fi%\fi
@@ -23,7 +23,7 @@
Alexander Boronka; Walter Brown;
Christian Faulhammer; Jos\'e{} Luis G\'omez Dans;
Zongbao Fang;
- Azzam Hassam; Martin Hensel;
+ Azzam Hassam; Henning Heinze; Martin Hensel;
Morten H\o{}gholm; M. Kalidoss; Dan Lasley;
Angus Leeming; Tim Love; Dan Luecking;
Hendrik Maryns; Heinz Mezera;
@@ -101,7 +101,7 @@ $\underline{A}=\left[\begin{smallmatrix}%
a & b & c\cr
d & e & f\cr
g & h & i\end{smallmatrix}\right]$ from the \AmSmath{} package (see section \vref{sec:ams-matrix}) or the
-displaymath mode\index{Display math mode} (section \ref{display} on page \pageref{display}).
+displaymath mode\index{Display math mode} (section~\vref{display}).
This inline mode is possible with three different commands:
@@ -131,15 +131,16 @@ not a robust macro (see section~\vref{subsec:mathInTitles}).
\marginpar{\CMD{begin\{math\}}\\...\\\CMD{end\{math\}}}
\end{enumerate}
+\index{*@\texttt{\textbackslash\char040}}\index{*@\texttt{\textbackslash\char041}}
In general \verb+$...$+ is the best choice, but this does not work in environments like \verb+verbatim+
-or \verb+alltt+. In this case \verb+\(...\)+ works.
+or \verb+alltt+. In this case \verb+\(...\)+ works.\index{$@\texttt{\$}}
\subsection{Limits}\label{sub:Limits-Inline}
In the inline mode the limits\index{limits@\textbackslash limits} are by default only in
super\index{Superscript} or subscript mode\index{Subscript} and
-the fractions\index{Fraction} are always in the scriptstyle\footnote{See section \vref{sec:Styles}.}\index{scriptstyle}
+the fractions\index{Fraction} are always in the \Index{scriptstyle}\footnote{See section \vref{sec:Styles}.}\index{scriptstyle}
font size. For
example: $\int_{1}^{\infty}\frac{1}{x^2}dx=1$, which is not too
big for the textline. You %
@@ -152,13 +153,13 @@ a product (\CMD{prod}\index{prod@\textbackslash prod}) or a limes
(\CMD{lim}\index{lim@\textbackslash lim}). But this $\int\limits_{1}^{\infty}\frac{1}{x^2}dx=1$
does not look very nice in a text line when it appears between two lines,
especially when there are multiline limits.\footnote{For more
-information about limits see section \vref{sub:Multiple-Limits} or section \vref{sec:limit-AMS}.}
+information about limits see section~\vref{sub:Multiple-Limits} or section~\vref{sec:limit-AMS}.}
\subsection{Fraction command}\label{sub:fraction command}
For inlined formulas the fractions\index{Fraction} are by default
-in the scriptstyle\index{scriptstyle@\textbackslash scriptstyle} (see tabular \vref{cap:Mathstyles}),
+in the scriptstyle\index{scriptstyle@\textbackslash scriptstyle} (see tabular~\vref{cap:Mathstyles}),
which is good for typesetting $y=\frac{a}{b+1}$, because the
linespacing %
\marginpar{\CMD{frac}}is nearly the same, but not optimal, when the formula shows some important
@@ -167,11 +168,11 @@ facts. There are two solutions to get a better reading:
\begin{enumerate}
\item choose the display mode instead of the inline mode, which is the better
one;
-\item set the fontstyle to \verb+displaystyle+\index{displaystyle@\textbackslash displaystyle}, which makes
+\item set the fontstyle to \CIndex{displaystyle}, which makes
the fraction $y={\displaystyle\frac{a}{b+1}}$ more readable but
the linespacing increases which is always a bad solution and should
only be used when the first solution makes no sense.\footnote{For an abbreviation see
-section \vref{sec:ams-fraction}, there is a special \CMD{dfrac} macro.}
+section~\vref{sec:ams-fraction}, there is a special \CIndex{dfrac} macro.}
\bigskip
\begin{minipage}{0.25\fullwidth}
@@ -185,8 +186,8 @@ $y=\frac{a}{b+1}={\displaystyle\frac{a}{b+1}}$
\end{enumerate}
-\subsection[Math in Chapter/Section Titles]{\label{inline-chapter}Math in \CMD{part},
-\CMD{chapter}, \CMD{section},
+\subsection[Math in Chapter/Section Titles]{\label{inline-chapter}Math in \CIndex{part},
+\CIndex{chapter}, \CIndex{section},
... titles like $f(x)=\prod_{i=1}^{n}\left(i-\frac{1}{2i}\right)$}\label{subsec:mathInTitles}
All commands which appear in positions like contents, index, header,
@@ -196,25 +197,24 @@ into for example the tableofcontents file (\texttt{*.toc}). No robustness is
often a problem, when a macro is part of another macro.}
which is the case for \verb+$...$+ but not for \verb+\(...\)+.
If you do not have any contents, index, a.s.o.
-you can write the mathstuff in \CMD{chapter}\index{chapter@\textbackslash chapter},
-\CMD{section}\index{section@\textbackslash section},
+you can write the mathstuff in \CIndex{chapter}, \CIndex{section},
a.s.o without any restriction. Otherwise use \verb+\protect\(+ and \verb+\protect\)+ or the
-\verb+$...$+ version.
+\verb+$...$+ version.\index{$@\texttt{\$}}
The whole math expression appears in the default font shape and not
-in bold like the other text. Section \vref{sec:titleItem} describes how the math
+in bold like the other text. Section~\vref{sec:titleItem} describes how the math
expressions can be printed also in bold.
\marginpar{\CMD{texorpdfstring}}%
-There are problems with \verb+hyperref+\index{hyperref.sty} when there is a non
-text part in a title. It is possible to tell \verb+hyperref+\index{hyperref.sty} to use different
-commands, one for the title and another one for the bookmarks\index{texorpdfstring@\textbackslash texorpdfstring}:
+There are problems with the \PIndex{hyperref} package when there is no
+text part in a title. It is possible with the command \CIndex{texorpdfstring}
+to tell \verb+hyperref+ to use different
+commands, one for the title and another one for the bookmarks:
\begin{verbatim}
\texorpdfstring{<TeX part>}{<hyperref part>}
\end{verbatim}
-E.g.
\begin{minipage}{\fullwidth}
\begin{lstlisting}
@@ -229,7 +229,7 @@ E.g.
It is obvious that the numbering of inline mathstuff makes no sense!
\subsection{Framed math}
-With the \verb|\fbox| macro everything of inline math can be framed\index{Framed inline
+With the \CIndex{fbox} macro everything of inline math can be framed\index{Framed inline
math}\index{boxed inline math}, like the following one:
\bigskip
@@ -242,9 +242,10 @@ math}\index{boxed inline math}, like the following one:
\end{lstlisting}
\end{minipage}
+%$
-Parameters are the width of \verb|\fboxsep| and \verb|\fboxrule|, the predefined values
-from \verb|latex.ltx| are:
+Parameters are the width of \LIndex{fboxsep} and \LIndex{fboxrule}, the predefined values
+from the file \verb|latex.ltx| are:
\bigskip
\begin{minipage}{\fullwidth}
@@ -254,7 +255,7 @@ from \verb|latex.ltx| are:
\end{lstlisting}
\end{minipage}
-The same is possible with the \verb|\colorbox|
+The same is possible with the \CIndex{colorbox}
\colorbox{yellow}{$f(x)=\prod_{i=1}^{n}\left(i-\frac{1}{2i}\right)$}
from the color package.
@@ -265,14 +266,14 @@ from the color package.
\end{lstlisting}
\end{minipage}
-
+%$
\subsection{Linebreak}
\LaTeX{} can break an inline formula only when a relation symbol ($=, <, >, \ldots$) or a
binary operation symbol ($+,-, \ldots$) exists and at least one of these symbols appears at
the outer level of a formula.
-Thus \verb|$a+b+c$| can be broken across lines, but \verb|${a+b+c}$| not.
+Thus \verb|$a+b+c$| can be broken across lines, but \verb|${a+b+c}$| not.\index{$@\texttt{\$}}
\begin{itemize}
\item The default: \hspace{1cm}
@@ -299,8 +300,9 @@ which is the extreme case of grudgingly allowing breaks in extreme cases.
\subsection{Whitespace}\label{subsec:whitespace}
-\LaTeX{} defines the length \verb|\mathsurround|\index{mathsurround@\textbackslash mathsurround} with the default value of
-\verb|0pt|. This length is added before and after an inlined math expression (see table \vref{tab:whitespace}).
+\LaTeX{} defines the length \LIndex{mathsurround} with the default value of
+\verb|0pt|. This length is added before and after an inlined math expression
+(see table~\vref{tab:whitespace}).
\begin{table}[htb]
\hspace*{-0.1\linewidth}%
@@ -330,6 +332,7 @@ foo \fbox{$ f(x)=\int_1^{\infty}\frac{1}{x^2}dx=1 $} bar
\caption{Meaning of \CMD{mathsurround}}\label{tab:whitespace}
\end{table}
+%$
\subsection{\AmSmath for the inline mode}
@@ -363,8 +366,8 @@ For example:
\bigskip
The delimiters\index{Delimiter}
-\CMD{begin\{equation\} ... }\CMD{end\{equation\}} are the only difference to the inline version. There
-are some equivalent commands for the display-math mode:
+\CMD{begin\{equation\} ... }\CMD{end\{equation\}} are the only difference to the inline version.
+There are some equivalent commands for the display-math mode:
\begin{enumerate}
\marginpar{\CMD{begin\{displaymath\}}\\
@@ -378,6 +381,7 @@ are some equivalent commands for the display-math mode:
\[
f(x)=\prod_{i=1}^{n}\left(i-\frac{1}{2i}\right)
\]
+%
displayed, no number. Same as 1.
%
\item \CMD{begin\{equation\}\ldots}\CMD{end\{equation\}}%
@@ -386,8 +390,9 @@ displayed, no number. Same as 1.
\CMD{end\{equation\}}}%
%
\begin{equation}
-f(x)=\prod_{i=1}^{n}\left(i-\frac{1}{2i}\right)\end{equation}
-\\
+f(x)=\prod_{i=1}^{n}\left(i-\frac{1}{2i}\right)
+\end{equation}
+%
displayed, a sequential equation number, which may be reset when
starting a new chapter or section.
@@ -395,8 +400,8 @@ starting a new chapter or section.
\begin{enumerate}
\item There is only \textbf{one} equation number for the whole environment.
\item \marginpar{\CMD{nonumber}}There exists no star-version of the equation environment
-because \verb|\[...\]| is the equivalent. With the tag
-\CMD{nonumber}\index{nonumber@\textbackslash nonumber} it is possible to suppress the equation number:
+because \CIndex{[}\ldots\CIndex{]} is the equivalent. With the tag
+\CIndex{nonumber} it is possible to suppress the equation number:
\begin{minipage}{0.5\linewidth}
\begin{equation}
@@ -448,10 +453,11 @@ the whole environment in \verb|latex.ltx|.
\end{tabular}
\bigskip
-The \verb|eqnarray| environment should not be used as an array. As seen in the above
+The \UIndex{eqnarray} should not be used as an array. As seen in the above
example the typesetting is wrong for the middle column. The numbering of eqnarray
environments is always for every row, means,
-that four lines get four different equation numbers (for the labels see section \ref{sec:Labels}):
+that four lines get four different equation numbers (for the labels see
+section~\vref{sec:Labels}):
\bigskip
\begin{minipage}{0.5\columnwidth}
@@ -500,9 +506,8 @@ y & = & ax^{3}+bx^{2}+cx+d\label{eq:4}
\medskip
Toggling off/on for \textbf{single} rows is possible with the above
-mentioned \CMD{nonumber}\index{nonumber@\textbackslash nonumber} tag at the end of a row
-(before the newline command).
-For example:
+mentioned \CIndex{nonumber} tag at the end of a row
+(before the newline command). For example:
\medskip
\begin{minipage}{0.45\columnwidth}
@@ -526,7 +531,8 @@ For example:
\subsubsection{Short commands}\label{subsec:shortcommand}
-It is possible to define short commands for the \verb|eqnarray| environment
+It is possible to define short commands for the \UIndex{eqnarray}
+%
\begin{lstlisting}
\makeatletter
\newcommand{\be}{%
@@ -552,20 +558,20 @@ It is possible to define short commands for the \verb|eqnarray| environment
Now you can write the whole equation as
-\begin{showexample}[width=0.5\columnwidth,wide]
+\begin{LTXexample}[width=0.5\columnwidth,wide]
\be
f(x) &=& \int\frac{\sin x}{x}dx
\ee
-\end{showexample}
+\end{LTXexample}
\medskip
\noindent or, if you do not want to have a numbered equation as
-\begin{showexample}[width=0.5\columnwidth,wide]
+\begin{LTXexample}[width=0.5\columnwidth,wide]
\be*
f(x) &=& \int\frac{\sin x}{x}dx
\ee
-\end{showexample}
+\end{LTXexample}
\subsection{Equation numbering}\label{sub:Equationnumbering}
@@ -574,7 +580,7 @@ For all equations which can have one or %
\marginpar{\CMD{nonumber}}more equation numbers (for every line/row) the numbering
for the whole equation can be disabled with switching from the unstarred to the star
version. This is still for the whole formula and doesn't work for single rows.
-In this case use the \CMD{nonumber} tag.
+In this case use the \CIndex{nonumber} tag.
\begin{itemize}
\item This doc is written with the article-class, which counts the equations
@@ -583,8 +589,8 @@ in different ways (see the following subsections).
\item In standard \LaTeX{} it is a problem with too long equations and the
equation number, which may be printed with the equation one upon the other. In this case
use the \AmSmath package, where the number is set above or below
-of a too long equation (see equation \vref{eq:braces}).
-\item For counting subequations see section \vref{ams:subeqn}.
+of a too long equation (see equation~\vref{eq:braces}).
+\item For counting subequations see section~\vref{ams:subeqn}.
\end{itemize}
\subsubsection{Changing the style}
@@ -595,16 +601,15 @@ counting changes from ``\ref{eq:IntoSection}{}'' into the new style
``\ref{eq:newCounting}''. The command sequence is
\begin{lstlisting}
-\renewcommand\theequation{%
- \thepart-\arabic{equation}%
-}
+\renewcommand\theequation{\thepart-\arabic{equation}}
\end{lstlisting}
-See section \vref{sec:Equation-numbering} for the \AmSmath command.
+
+See section~\vref{sec:Equation-numbering} for the \AmSmath command.
\subsubsection{Resetting a counter style}
-Removing a given reset is possible with the package \verb+remreset+.%
+Removing a given reset is possible with the \PIndex{remreset}.%
\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/contrib/supported/carlisle/remreset.sty}{CTAN://macros/latex/contrib/supported/carlisle/remreset.sty}} Write into the %
\marginpar{\CMD{@removefromreset}} preamble
@@ -621,7 +626,7 @@ You can see this after section~\vref{split}.
\subsubsection{Equation numbers on the left side}
-Choose package \texttt{leqno}%
+Choose package \PIndex{leqno}%
\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/unpacked/leqno.sty}{CTAN://macros/latex/unpacked/leqno.sty}}
or have a look at your document class, if such an option exists.
@@ -763,12 +768,12 @@ which is described in section \vref{sec:Labels-and-Tags}\index{tag@\textbackslas
\subsection{Frames}\label{sec:Frames}
Similiar to the inline mode, displayed equations can also be framed with
-the \verb|\fbox|\index{fbox@\textbackslash fbox} command, like equation \ref{eq:frame0}.
+the \CIndex{fbox} command, like equation \ref{eq:frame0}.
The only difference is
the fact, that the equation must be packed into a parbox or minipage. It is
nearly the same for a colored box, where the \verb|\fbox{...}| has to be
replaced with \verb|\colorbox{yellow}{...}|. The package \verb|color.sty| must
-be loaded and --important -- the \verb|calc.sty| package to get a correct boxwidth.
+be loaded and --important -- the \PIndex{calc} package to get a correct boxwidth.
\noindent\fbox{\parbox{\linewidth-2\fboxsep-2\fboxrule}{%
\begin{equation}\label{eq:frame0}
@@ -850,15 +855,17 @@ If you are using the \AmSmath package, then try the solutions from section
\section{\texttt{array} environment}
\marginpar{\CMD{begin\{array\}}\\...\\\CMD{end\{array\}}}
-This is simply the same as the eqnarray environment only with the
+This is simply the same as the \UIndex{eqnarray} only with the
possibility of variable rows \textbf{and} columns and the fact, that
the whole formula has only \textbf{one} equation number and that the
\verb|array| environment can only be part of another math environment,
-like \verb|equation| or \verb|displaymath|.
+like the \UIndex{equation} or the \UIndex{displaymath}. With \verb+@{}+ before the
+first and after the last colomn the additional space \LIndex{arraycolsep}
+is not used, which maybe important when using left aligned equations.
\begin{equation}
\left.%
-\begin{array}{r@{\quad}ccrr}
+\begin{array}{@{}r@{\quad}ccrr@{}}
\textrm{a}) & y & = & c & (constant)\\
\textrm{b}) & y & = & cx+d & (linear)\\
\textrm{c}) & y & = & bx^{2}+cx+d & (square)\\
@@ -871,8 +878,7 @@ like \verb|equation| or \verb|displaymath|.
\begin{lstlisting}
\begin{equation}
\left.%
-\begin{array}{r@{\\
-\quad}ccrr}
+\begin{array}{@{}r@{\quad}ccrr@{}}
\textrm{a}) & y & = & c & (constant)\\
\textrm{b}) & y & = & cx+d & (linear)\\
\textrm{c}) & y & = & bx^{2}+cx+d & (square)\\
@@ -884,28 +890,28 @@ like \verb|equation| or \verb|displaymath|.
The horizontal alignment of the columns is the same as the one from the
-\texttt{tabular} environment.
+\UIndex{tabular}.
-For arrays with delimiters see section \vref{delarray}.
+For arrays with delimiters see section~\vref{delarray}.
\subsection{Cases structure}
If you do not want to use the \AmSmath package then write your own
cases structure\index{cases@\textbackslash cases} with the \verb|array| environment:
-\begin{showexample}[pos=b]
+\begin{LTXexample}[pos=b]
\begin{equation}
x=\left\{ \begin{array}{cl}
0 & \textrm{if A=...}\\
1 & \textrm{if B=...}\\
x & \textrm{this runs with as much text as you like, but without an raggeright text.}\end{array}\right.
\end{equation}
-\end{showexample}
+\end{LTXexample}
It is obvious, that we need a \CMD{parbox} if the text is longer than the possible linewidth.
-\begin{showexample}[pos=b]
+\begin{LTXexample}[pos=b]
\begin{equation}
x = \left\{%
\begin{array}{l>{\raggedright}p{.5\textwidth}}%
@@ -919,7 +925,7 @@ x = \left\{%
\end{array}%
\right. %
\end{equation}
-\end{showexample}
+\end{LTXexample}
@@ -969,22 +975,22 @@ f(x) & = & \int\frac{\sin x}{x}dx
\section{Matrix}\label{sec:matrix}
\marginpar{\CMD{matrix}\\\CMD{bordermatrix}}\TeX{} knows two macros and \LaTeX{} one more for typesetting a matrix\index{bordermatrix@\textbackslash bordermatrix}:
-\begin{showexample}
+\begin{LTXexample}
$\begin{matrix}
A & B & C \\
d & e & f \\
1 & 2 & 3 \\
\end{matrix}$
-\end{showexample}
+\end{LTXexample}
\vspace{-10pt}
-\begin{showexample}
+\begin{LTXexample}
$\bordermatrix{%
& 0 & 1 & 2 \cr
0 & A & B & C \cr
1 & d & e & f \cr
2 & 1 & 2 & 3 \cr
}$
-\end{showexample}
+\end{LTXexample}
\iffalse % smallmatrix belongs to amsmath
\begin{minipage}{0.4\textwidth}
@@ -1042,59 +1048,59 @@ version which takes the left top part as matrix:
}
\makeatother
-\begin{showexample}
+\begin{LTXexample}
$\bordermatrix{%
& 1 & 2 \cr
1 & x1 & x2 \cr
2 & x3 & x4 \cr
3 & x5 & x6
}$
-\end{showexample}
+\end{LTXexample}
\vspace{-10pt}
-\begin{showexample}
+\begin{LTXexample}
$\bordermatrix[{[]}]{%
& 1 & 2 \cr
1 & x1 & x2 \cr
2 & x3 & x4 \cr
3 & x5 & x6
}$
-\end{showexample}
+\end{LTXexample}
\vspace{-10pt}
-\begin{showexample}
+\begin{LTXexample}
$\bordermatrix[\{\}]{%
& 1 & 2 \cr
1 & x1 & x2 \cr
2 & x3 & x4 \cr
3 & x5 & x6
}$
-\end{showexample}
+\end{LTXexample}
\vspace{-10pt}
-\begin{showexample}
+\begin{LTXexample}
$\bordermatrix*{%
x1 & x2 & 1 \cr
x3 & x4 & 2 \cr
x5 & x6 & 3 \cr
1 & 2
}$
-\end{showexample}
+\end{LTXexample}
\vspace{-10pt}
-\begin{showexample}
+\begin{LTXexample}
$\bordermatrix*[{[]}]{%
x1 & x2 & 1 \cr
x3 & x4 & 2 \cr
x5 & x6 & 3 \cr
1 & 2
}$
-\end{showexample}
+\end{LTXexample}
\vspace{-10pt}
-\begin{showexample}
+\begin{LTXexample}
$\bordermatrix*[\{\}]{%
x1 & x2 & 1 \cr
x3 & x4 & 2 \cr
x5 & x6 & 3 \cr
1 & 2
}$
-\end{showexample}
+\end{LTXexample}
There is now an optional argument for the parenthesis with \verb|()| as the default one. To get such a behaviour, write into the preamble:
@@ -1140,35 +1146,38 @@ The problem is the different height, which can be modified in several ways
\item \verb+$a_{\mathrm{max}}+: $a_{\mathrm{min}}$ and $a_{\mathrm{max}}$;
\item \verb+$a_{\max}+: $a_{\min}$ and $a_{\max}$. Both are predefined operators (see section~\vref{sec:ltxOperators}).
\end{itemize}
-
+%$
\subsection{Multiple limits}\label{sub:Multiple-Limits}
\marginpar{\CMD{atop}}For general information about limits\index{Limits} read section
-\vref{sub:Limits-Inline}. With the \CMD{atop}\index{atop@\textbackslash atop} command
+\vref{sub:Limits-Inline}. With the \TeX\ command \CMD{atop}\index{atop@\textbackslash atop} command
multiple limits for a sum\index{sum@\textbackslash sum} or prod\index{prod@\textbackslash prod}
are possible. The syntax is:
-\begin{showexample}[width=0.4\linewidth]
+\begin{LTXexample}[width=0.4\linewidth]
\[ {above \atop below} \]
-\end{showexample}
+\end{LTXexample}
\noindent which is nearly the same as a fraction without a rule. This can
be enhanced to \verb|a\atop b\atop c| and so on. For equation \ref{eq:atop} do the following steps:
-\begin{showexample}[width=0.4\linewidth]
+\begin{LTXexample}[width=0.4\linewidth]
\begin{equation}\label{eq:atop}
\sum_{{1\le j\le p\atop {%
{1\le j\le q\atop 1\le k\le r}}}%
}a_{ij}b_{jk}c_{ki}
\end{equation}
-\end{showexample}
+\end{LTXexample}
\bigskip
-There are other solutions to get multiple limits, e.g. an array,
+\marginpar{\CMD{shortstack}}%
which is not the best solution because the space between the lines
-is too big. The \AmSmath package provides several commands for limits (section \ref{sec:limit-AMS}) and the \CMD{underset} and \CMD{overset} commands (see section \ref{sec:misc-AMS}).
+is too big.
+The \AmSmath package provides several commands for
+limits (section~\vref{sec:limit-AMS}) and the \CMD{underset} and \CMD{overset}
+commands (see section~\vref{sec:misc-AMS}).
\subsection{Problems}
@@ -1229,8 +1238,9 @@ size. Equation \ref{eq:disp-limits2} shows the effect and equation
\section{Roots}\label{sec:Roots}
-The square root\index{Root} \CMD{sqrt}\index{sqrt@\textbackslash sqrt} is the default
-for \LaTeX{} and the $n$-th root can be inserted with the optional parameter \CMD{sqrt[n]\{\ldots\}}.
+The square root\index{Root} \CIndex{sqrt} is the default
+for \LaTeX{} and the $n$-th root can be inserted with the optional
+parameter \CMD{sqrt[n]\{\ldots\}}.
\marginpar{\CMD{sqrt}}.
\begin{center}
@@ -1240,40 +1250,39 @@ for \LaTeX{} and the $n$-th root can be inserted with the optional parameter \CM
\end{tabular}
\end{center}
-There is a different typesetting in roots. Equation \vref{eq:root1}
-has different heights for the roots, whereas equation \vref{eq:root2}
+There is a different typesetting in roots. Equation~\vref{eq:root1}
+has different heights for the roots, whereas equation~\vref{eq:root2}
has the same one. This is possible with the %
\marginpar{\CMD{vphantom}}%
-\verb+\vphantom+\index{vphantom@\textbackslash vphantom} command,
+\CIndex{vphantom} command,
which reserves the vertical space (without a horizontal one) of the
parameter height.
-\begin{showexample}[width=0.35\linewidth,wide]
+\begin{LTXexample}[width=0.35\linewidth,wide]
\begin{equation}
\sqrt{a}\,%
\sqrt{T}\,%
\sqrt{2\alpha k_{B_1}T^i}\label{eq:root1}
\end{equation}
-\end{showexample}
+\end{LTXexample}
\vspace{-10pt}
-\begin{showexample}[width=0.35\linewidth,wide]
+\begin{LTXexample}[width=0.35\linewidth,wide]
\begin{equation}\label{eq:root2}
\sqrt{a\vphantom{k_{B_1}T^i}}\,%
\sqrt{T\vphantom{k_{B_1}T^i}}\,%
\sqrt{2\alpha k_{B_1}T^i}
\end{equation}
-\end{showexample}
+\end{LTXexample}
The typesetting looks much better, especially when the formula
-has different roots in a row, like equation \vref{eq:root1}. Using
-\AmSmath with the \CMD{smash} command%
+has different roots in a row, like equation~\vref{eq:root1}. Using
+\AmSmath with the \CIndex{smash} command%
\footnote{The \CMD{smash} command exists also in \LaTeX{}
-but without an optional argument, which makes the use for roots possible.%
-} gives some more possibilities for the typesetting of roots (see section
-\vref{sec:Roots-ams}).
+but without an optional argument, which makes the use for roots possible.}
+gives some more possibilities for the typesetting of roots (see section~\vref{sec:Roots-ams}).
\section[Brackets, braces \ldots]{Brackets, braces and parentheses}\label{sec:Brackets,-Braces-and}
@@ -1290,12 +1299,11 @@ $\uparrow\Uparrow$
$\downarrow\Downarrow$
$\updownarrow\Updownarrow${}''
and their use as an argument %
-\marginpar{\CMD{leftX}\\\CMD{rightX}} of the \CMD{left}\index{left@\textbackslash left}
-and \CMD{right}\index{right@\textbackslash right}
+\marginpar{\CMD{leftX}\\\CMD{rightX}} of the \CIndex{left} and \CIndex{right}
command, where \LaTeX{} stretches the size in a way that everything between
the pair of left and right parentheses is smaller than the parentheses themselves. In some cases%
-\footnote{See section \vref{cap:Use-of-the-vphantom} for example.%
-} it may be useful to choose a fixed height, which is possible with
+\footnote{See section \vref{cap:Use-of-the-vphantom} for example.}
+it may be useful to choose a fixed height, which is possible with
the \CMD{big}-series. Instead of writing \CMD{leftX}
or \CMD{rightX} one of the following commands can
be chosen:
@@ -1335,33 +1343,33 @@ $\Bigg\updownarrow\Bigg\Updownarrow$
\medskip{}
Only a few commands can be written in a short form like \CMD{big(}.
The ``X{}'' has to be replaced with one of the following characters
-or commands from table \ref{tab:big}, which shows the parentheses
+or commands from table~\vref{tab:big}, which shows the parentheses
character, its code for the use with one of the ``big{}'' commands
and an example with the code for that.
\marginpar{\CMD{biglX}\\\CMD{bigrX}}%
-For all commands there exists a left/right version \CMD{bigl}\index{bigl@\textbackslash bigl},
-\CMD{bigr}\index{bigr@\textbackslash bigr}, \CMD{Bigl}\index{Bigl@\textbackslash Bigl}
-and so on, which only makes sense when writing things like:
+For all commands there exists a left/right version \CIndex{bigl},
+\CIndex{bigr}, \CIndex{Bigl} and so on, which only makes sense when writing things like:
-\begin{showexample}[width=0.3\linewidth,wide]
+\begin{LTXexample}[width=0.3\linewidth,wide]
\begin{align}
\biggl)\times \frac{a}{b} \times\biggr(
\end{align}
\begin{align}
\bigg)\times \frac{a}{b} \times\bigg(
\end{align}
-\end{showexample}
+\end{LTXexample}
-\LaTeX{} takes the \verb|\biggl)| as a mathopen symbol, which has by default
+\LaTeX{} takes the \verb|\biggl)| as a \Index{mathopen symbol}, which has by default
another horizontal spacing.
In addition to the above commands there exist some more:
-\CMD{bigm}\index{bigm@\textbackslash bigm}, \CMD{Bigm}\index{Bigm@\textbackslash Bigm},
-\CMD{biggm}\index{biggm@\textbackslash biggm} and \CMD{Biggm}\index{Biggm@\textbackslash Biggm},
+\CIndex{bigm}, \CIndex{Bigm}, \CIndex{biggm} and \CIndex{Biggm},
which work as the standard ones (without the addtional ``m{}'')
but add some more horizontal space%
-\marginpar{\CMD{bigmX}\\\CMD{bigmX}} between the delimiter and the formula before and after (see table \ref{cap:Difference-between-the-bigg}).
+\marginpar{\CMD{bigmX}\\\CMD{bigmX}} %
+between the delimiter and the formula before and after (see
+table~\vref{cap:Difference-between-the-bigg}).
@@ -1369,13 +1377,13 @@ but add some more horizontal space%
%$3\biggm|a^2-b^2-c^2\biggm|+2$
\begin{table}[htb]
-\begin{showexample}
+\begin{LTXexample}
$\bigg(\dfrac{1}{3}\bigg|\dfrac{3}{4}\bigg)$
-\end{showexample}
+\end{LTXexample}
\vspace{-15pt}
-\begin{showexample}
+\begin{LTXexample}
$\bigg(\dfrac{1}{3}\biggm|\dfrac{3}{4}\bigg)$
-\end{showexample}
+\end{LTXexample}
\caption{Difference between the default
\CMD{bigg} and the \CMD{biggm} command}\label{cap:Difference-between-the-bigg}
\end{table}
@@ -1473,7 +1481,7 @@ It is obvious that there is a problem with the right closing parentheses.
Because of the two pairs ``\verb|\left( ... \right.|''
and ``\verb|\left. ... \right)|''
they have a different size because every pair does it in its own
-way. Using the \CMD{Bigg} command changes this into a better
+way. Using the \Index{Bigg} command changes this into a better
typesetting:
{\arraycolsep=2pt
@@ -1523,43 +1531,45 @@ in smaller pieces.
\subsubsection{Middle bar}
-See section \vref{sec:braket} for examples and the use of package \verb|braket.sty|.
+See section~\vref{sec:braket} for examples and the use of package \PIndex{braket}.
\subsection{New delimiters}\label{subsec:delim}
The default delimiters\index{Delimiter} are defined in the file \verb|fontmath.ltx|\index{fontmath.ltx}
which is stored in general
in \path{[TEXMF]/tex/latex/base/fontmath.ltx}. If we need for example a thicker vertical symbol
-than the existing \verb|\vert| symbol we can define in the preamble:
+than the existing \CIndex{vert} symbol we can define in the preamble:
\begin{lstlisting}
\DeclareMathDelimiter{\Norm}
{\mathord}{largesymbols}{"3E}{largesymbols}{"3E}
\end{lstlisting}
-The character number $3E_{16}$ (decimal $62$) from the \verb|cmex10|\index{cmex10} font is the small
+The character number $3E_{16}$ (decimal $62$) from the \FIndex{cmex10} font is the small
thick vertical rule. Now the new delimiter \verb|\Norm| can be used in the usual way:
-\begin{showexample}[width=0.3\linewidth,wide]
+\begin{LTXexample}[width=0.3\linewidth,wide]
$\left\Norm *BLA* \right\Norm$
$\left\Norm \dfrac{*BLA*}{*BLUB*} \right\Norm$
-\end{showexample}
+\end{LTXexample}
\subsection{Problems with parentheses}\label{subsec:Problems-with-parenthesis}
-\marginpar{\CMD{delimitershortfall}\\\CMD{delimiterfactor}}It is obvious that the following
+\marginpar{\CMD{delimitershortfall}\\\CMD{delimiterfactor}}%
+It is obvious that the following
equation has not the right size of the parenthesis in the
second integral, the inner one should be a bit smaller than the outer one.
-\begin{showexample}[width=0.425\linewidth,wide]
+%
+\begin{LTXexample}[width=0.425\linewidth,wide]
\[
\int_\gamma F'(z) dz =\int_\alpha^\beta
F'\left(\gamma (t)\right)\cdot\gamma '(t)dt
\]
-\end{showexample}
+\end{LTXexample}
The problem is that \TeX{} controlls the height of the parenthesis with
-\verb|\delimitershortfall|\index{delimitershortfall@\textbackslash delimitershortfall} and \verb|\delimiterfactor|\index{delimiterfactor@\textbackslash delimiterfactor}, with the default values
+\LIndex{delimitershortfall} and \CIndex{delimiterfactor}, with the default values
\begin{verbatim}
\delimitershortfall=5pt
\delimiterfactor=901
@@ -1571,13 +1581,13 @@ at the end of the formula, the best way is to set them straight before the math
or globally for all in the preamble.
-\begin{showexample}[width=0.425\linewidth,wide]
+\begin{LTXexample}[width=0.425\linewidth,wide]
{\delimitershortfall=-1pt
\[
\int_\gamma F'(z) dz =\int_\alpha^\beta
F'\left(\gamma (t)\right)\cdot\gamma '(t)dt
\]}
-\end{showexample}
+\end{LTXexample}
\section{Text in math mode}\label{sec:Text}
@@ -1592,12 +1602,13 @@ names: $\boxed{{I\ am\ \textrm{text}\ inside\ math.}}$ (see also
\marginpar{\CMD{mathrm}}
\item \CMD{mathrm}. It is like math mode (no spaces), but in upright mode
\item \CMD{textrm}. Upright mode with printed spaces (real textmode)
-\item \CMD{mbox}. The font size is still the one from \CMD{textstyle} (see section \vref{sec:Styles}), so that you have to place additional
-commands when you use \CMD{mbox} in a super- or subscript for limits.
+\item \CMD{mbox}. The font size is still the one from \CIndex{textstyle}
+ (see section~\vref{sec:Styles}), so that you have to place additional
+commands when you use \CIndex{mbox} in a super- or subscript for limits.
\end{itemize}
-Inserting long text is possible with a \verb+parbox+, which can be aligned as usual to the top,
-bottom or center, e.g.\index{Text!\textbackslash parbox}
+Inserting long text is possible with a \CIndex{parbox}, which can be aligned as usual to the top,
+bottom or center, \eg \index{Text!\textbackslash parbox}
\begin{eqnarray}
a+b+c+d+ef & = & g+h+i+j+k %
\qquad\textrm{\parbox[t]{.25\linewidth}{%
@@ -1617,7 +1628,7 @@ bottom or center, e.g.\index{Text!\textbackslash parbox}
Additional commands for text inside math are provided by \AmSmath (see
section \vref{sec:Text-in-math mode}).
-
+%$
\section{Font commands}
\subsection{Old-style font commands}
@@ -1635,7 +1646,8 @@ the ``XX{}'' one, whereas the new commands start a group which
switches back to the mode before at its end.
\begin{table}[!htb]
-\centering\begin{tabular}{rc|rc|rc|cc|cc}
+\centering
+\begin{tabular}{rc|rc|rc|cc|cc}
\CMD{bf}\index{bf@\textbackslash bf} & ${\bf {\bf test}}$ &
\CMD{cal}\index{cal@\textbackslash cal} & ${\cal TEST}$ &
\CMD{it}\index{it@\textbackslash it} &
@@ -1666,7 +1678,7 @@ The default syntax is
\mathXX{test}
\end{lstlisting}
Table~\ref{cap:Fonts-in-math-mode} shows what has to be
-replaced for the XX. See section \vref{sec:euscript.sty} for additional packages.
+replaced for the XX. See section~\vref{sec:euscript.sty} for additional packages.
\begin{table}[htb]
\includegraphics{styles}
@@ -1744,7 +1756,7 @@ values\footnote{see \texttt{\small fontmath.ltx}}:
\thickmuskip=5mu plus 5mu
\end{lstlisting}
-\noindent where \verb|mu| is the abbreviation for \verb|math unit|.
+\noindent where \verb|mu| is the abbreviation for \Index{math unit}.
\[
1 \mathrm{mu}= \dfrac{1}{18} \mathrm{em}
\]
@@ -1765,13 +1777,13 @@ all set to zero & {\thickmuskip=0mu\thinmuskip=0mu\medmuskip=0mu $\boxed{f(x)=x^
These lengths can have all glue and are
used for the horizontal spacing in math expressions where \TeX{} puts spaces between symbols
and operators. The meaning of these different
-horizontal skips is shown in table \ref{tab:mathSpaces}. For a better typesetting \LaTeX{}
+horizontal skips is shown in table~\ref{tab:mathSpaces}. For a better typesetting \LaTeX{}
inserts different spaces between the symbols.
\begin{description}
-\item[\CMD{thinmuskip}] space between ordinary and operator atoms
-\item[\CMD{medmuskip}] space between ordinary and binary atoms in display and text styles
-\item[\CMD{thickmuskip}] space between ordinary and relation atoms in display and text styles
+\item[\CIndex{thinmuskip}] space between ordinary and operator atoms
+\item[\CIndex{medmuskip}] space between ordinary and binary atoms in display and text styles
+\item[\CIndex{thickmuskip}] space between ordinary and relation atoms in display and text styles
\end{description}
\subsection{Additional horizontal spacing}
@@ -1810,7 +1822,7 @@ $\boxed{a}\negthickspace\boxed{b}$\\
\end{tabular}
\caption{Spaces in math mode}\label{cap:Spaces-in-math mode}
\end{table}
-
+%$
LaTeX defines the following short commands:
@@ -1820,36 +1832,38 @@ LaTeX defines the following short commands:
\def\!{\mskip-\thinmuskip}
\end{verbatim}
In math mode there is often a need for additional tiny spaces between variables,
-e.g. $L\dfrac{di}{dt}$ written with a tiny space between $L$ and
-$\dfrac{di}{dt}$ looks nicer: $L\:\dfrac{di}{dt}$. Table \ref{cap:Spaces-in-math mode}
+\eg $L\dfrac{di}{dt}$ written with a tiny space between $L$ and
+$\dfrac{di}{dt}$ looks nicer: $L\:\dfrac{di}{dt}$. Table~\ref{cap:Spaces-in-math mode}
shows a list of all commands for horizontal space which can be used
in math mode. The ``space{}'' is seen ``between{}'' the boxed a
-and b. For all examples a is \texttt{\textbackslash{}boxed\{a\}} and
-b is \texttt{\textbackslash{}boxed\{b\}}. The short forms for some
+and b. For all examples a is \verb+\boxed{a}+ and
+b is \verb+\boxed{b}+. The short forms for some
\marginpar{\CMD{hspace}\\
\CMD{hphantom}\\
-\CMD{kern}}spaces may cause problems with other packages. In this case use the
+\CMD{kern}}
+spaces may cause problems with other packages. In this case use the
long form of the commands.
\subsection{Problems}\label{space:problems}
-Using \verb+\hphantom+\index{hphantom@\textbackslash hphantom}\index{phantom@\textbackslash phantom}
-in mathmode depends to on object. \verb+\hphantom+ reserves only the space of
+Using \CIndex{hphantom} in mathmode depends to on object. \CIndex{hphantom}
+reserves only the space of
the exact width without any additional space. In the following example the second line is
wrong: \verb+& \hphantom{\rightarrow} b\\+. It does not reserve any additional space.
-\begin{showexample}[width=0.15\linewidth,wide]
+\begin{LTXexample}[width=0.15\linewidth,wide]
\begin{align*}
a & \rightarrow b\\
& \hphantom{\rightarrow} b\\
& \mkern\thickmuskip\hphantom{\rightarrow}\mkern\thickmuskip b\\
& \mathrel{\hphantom{\rightarrow}} b
\end{align*}
-\end{showexample}
+\end{LTXexample}
This only works when the math symbol is a mathrel one, otherwise you have to change the
-horizontal space to \verb+\medmuskip+ or \verb+\thinmuskip+. For more informations
-about the math objects look into \verb+fontmath.ltx+ or \verb+amssymb.sty+ or use the \verb+\show+
-macro, which prints out the type of the mathsymbol, e.g.: \verb+\show\rightarrow+ with the
+horizontal space to \CIndex{medmuskip} or \CIndex{thinmuskip} or to use an empty group after
+the \CIndex{hphantom} command. For more informations
+about the math objects look into \verb+fontmath.ltx+ or \PIndex{amssymb} or use the \CIndex{show}
+macro, which prints out the type of the mathsymbol, \eg \verb+\show\rightarrow+ with the
output:
\begin{lstlisting}
@@ -1889,8 +1903,8 @@ Another possibilty is to use the \verb+numprint+ package.\footnote{%
\subsection{Dot versus comma}\label{subsec:dot-comma}
\marginpar{\CMD{mathpunct}\\\CMD{mathord}}%
-In difference to a decimal point\index{decimal point} and a \index{comma}comma as a marker of thousands a lot of
-countries prefer it vice versa. To get the same behaviour the meaning of \index{dot}dot and
+In difference to a \Index{decimal point} and a \Index{comma} as a marker of thousands a lot of
+countries prefer it vice versa. To get the same behaviour the meaning of \Index{dot} and
comma has to be changed:
\begin{align}
@@ -1914,7 +1928,10 @@ Located in \url{texmf/tex/latex/base/}} are
\DeclareMathSymbol{.}{\mathord}{letters}{"3A}
\end{verbatim}
-\noindent\index{mathord@\textbackslash mathord}\index{mathpunct@\textbackslash mathpunct}and can be changed for a documentwide other behaviour. In the above equation~\ref{eq:comma} the comma is only set in a pair of braces \verb+{,}+, which is the same as writing \verb+\mathord{,}+ because LaTeX{} handles everything
+\noindent\CIndex{mathord} and \CIndex{mathpunct}
+can be changed for a documentwide other behaviour. In the above equation~\ref{eq:comma}
+the comma is only set in a pair of braces \verb+{,}+, which is the same as writing
+\verb+\mathord{,}+ because LaTeX{} handles everything
inside of parenthises as a formula, which gets the same spacing.
It is also possible to use the package \verb+icomma.sty+\footnote{%
@@ -1939,7 +1956,8 @@ of displayed formulas:
\index{belowdisplayshortskip@\textbackslash belowdisplayshortskip}
The short skips are used if the formula starts behind the end of the foregoing
last line. Only for demonstration the shortskips
-are set to \verb|0pt| in the following examples and the normal skips to \verb|20pt| without any glue:
+are set to \verb|0pt| in the following examples and the normal skips to
+\verb|20pt| without any glue:
\medskip
\noindent\fbox{\begin{minipage}{\linewidth-2\fboxsep-2\fboxrule}
@@ -1974,6 +1992,17 @@ f(x) = \int\frac{\sin x}{x}dx
\end{equation}
\noindent And the next line starts as usual with some text ...
\end{lstlisting}
+%$
+
+
+\marginpar{\texttt{fleqn} class option}%
+When using the \verb+fleqn+\index{fleqn@\texttt{fleqn}} classoption for left
+aligned equations the math environments \uIndex{equation}
+and \CIndex{[}\ldots\CIndex{]} are typeset as a list. This is the reason why the
+vertical space is defined by the length registers for a list, especially
+\LIndex{topsep}, instead of \LIndex{abovedisplayskip} and \LIndex{belowdisplayskip}.
+This doesn't effect the \UIndex{eqnarray}.
+
\subsubsection{Inside math expressions}\label{subsec:vspacing}
@@ -1983,14 +2012,14 @@ This works inside the math mode in the same way as in the text mode.
\paragraph{\CMD{jot}}\marginpar{\CMD{jot}}
The vertical space between the lines for all math expressions which allow multiple
-lines can be changed with the length
-\verb|\jot|\index{jot@\textbackslash jot}, which is predefined as
+lines can be changed with the length \LIndex{jot}, which is predefined as
\begin{verbatim}
\newdimen\jot \jot=3pt
\end{verbatim}
-The following three formulas show this for the default value, \verb|\jot=0pt| and \verb|\jot=10pt|.
+The following three formulas show this for the default value, \verb|\setlength\jot{0pt}|
+and \verb|\setlength\jot{10pt}|.
\begin{minipage}{0.3\linewidth}
\begin{eqnarray*}
@@ -2000,7 +2029,7 @@ The following three formulas show this for the default value, \verb|\jot=0pt| a
\end{eqnarray*}
\end{minipage}\hfill
\begin{minipage}{0.3\linewidth}
-\jot=0pt
+\setlength\jot{0pt}
\begin{eqnarray*}
y & = & d\\
y & = & c\frac{1}{x}+d\\
@@ -2008,7 +2037,7 @@ The following three formulas show this for the default value, \verb|\jot=0pt| a
\end{eqnarray*}
\end{minipage}\hfill
\begin{minipage}{0.3\linewidth}
-\jot=10pt
+\setlength\jot{10pt}
\begin{eqnarray*}
y & = & d\\
y & = & c\frac{1}{x}+d\\
@@ -2030,18 +2059,18 @@ length are locally.
\paragraph{\CMD{arraystretch}}\cIndex{arraystretch}
\marginpar{\CMD{arraystretch}}%
The vertical space between the lines for all math expressions which contain an
-\verb+array+ environment can be changed with the command
-\verb|\arraystretch|, which is predefined
+\UIndex{array} can be changed with the command
+\CIndex{arraystretch}, which is predefined
as
\begin{verbatim}
-\def\arraystretch{1}
+\renewcommand\arraystretch{1}
\end{verbatim}
Renewing this definition is global to all following math expressions, so it should be used
-in the same way as \verb+\jot+.
+in the same way as \LIndex{jot}.
-\paragraph{\CMD{vskip}}\cIndex{vskip}\index{Vertical spacing}\index{Spacing!vertical}
-Another spacing for single lines is possible with the \CMD{vskip} macro:
+\paragraph{\CMD{vskip}}\index{Vertical spacing}\index{Spacing!vertical}
+Another spacing for single lines is possible with the \CIndex{vskip} macro:
\begin{LTXexample}[width=0.4\linewidth]
\[
@@ -2060,9 +2089,8 @@ Another spacing for single lines is possible with the \CMD{vskip} macro:
\paragraph{Package \texttt{setspace}}
-\PIndex{setspace}
To have all formulas with another vertical spacing, one can choose
-the package \verb+setspace+ and redefining some of the math macros, e.g.
+the package \PIndex{setspace} and redefining some of the math macros, \eg
\begingroup
\newcommand*\Array[2][1]{\setstretch{#1}\array{#2}}
@@ -2073,7 +2101,7 @@ the package \verb+setspace+ and redefining some of the math macros, e.g.
\let\endArray\endarray
\end{lstlisting}
-\begin{showexample}[width=0.25\linewidth]
+\begin{LTXexample}[width=0.25\linewidth]
\[
\begin{Array}[2]{cc}
a =&b\\
@@ -2087,7 +2115,7 @@ a =&b\\
a =&b\\
a =&b
\end{Array}$ text
-\end{showexample}
+\end{LTXexample}
\endgroup
\section{Styles}\label{sec:Styles}
@@ -2124,7 +2152,7 @@ ${\textstyle f(t)=\frac{T}{2\pi}\int\frac{1}{\sin\frac{\omega}{t}}dt}$&
\end{tabular}
\caption{Math styles}\label{cap:Mathstyles}
\end{table}
-
+%$
\makeatletter
\newenvironment{smallequation}[1]{%
\skip@=\baselineskip
@@ -2139,12 +2167,11 @@ formula has a default math %
\marginpar{\CMD{textstyle}\\
\CMD{displaystyle}\\
\CMD{scriptstyle}\\
-\CMD{scripscriptstyle}} fontsize called \CMD{textstyle}\index{textstyle@\textbackslash textstyle},
-which is smaller than the one for a display formula (see section \ref{display}), which is called
-\CMD{displaystyle}\index{displaystyle@\textbackslash displaystyle}.
+\CMD{scripscriptstyle}} fontsize called \CIndex{textstyle},
+which is smaller than the one for a display formula (see section~\ref{display}), which is called
+\CIndex{displaystyle}.
Beside this predefinition there are two other special fontstyles for
-math, \CMD{scriptstyle}\index{scriptstyle@\textbackslash scriptstyle}
-and \CMD{scriptscriptstyle}\index{scriptscriptstyle@\textbackslash scriptscriptstyle}.
+math, \CIndex{scriptstyle} and \CIndex{scriptscriptstyle}.
They are called ``style{}'' in difference to ``size{}'', because
they have a dynamic character, their real fontsize belongs to the
environment in which they are used. A fraction for example is by default in scriptstyle when it is in an
@@ -2154,10 +2181,8 @@ This may be in some cases useful but it looks in general ugly because
the line spacing is too big.
These four styles\index{Style} are predefined and together in a
logical relationship. It is no problem to use the other styles like
-\CMD{large}\index{large@\textbackslash large},
-\CMD{Large}\index{Large@\textbackslash Large},
-... \textbf{outside} the math environment. For example a fraction written with
-\CMD{Huge}\index{Huge@\textbackslash Huge}: {\Huge$\frac{a}{b}$}
+\Index{large}, \CIndex{Large}, \ldots\ \textbf{outside} the math environment.
+For example a fraction written with \CIndex{Huge}: {\Huge$\frac{a}{b}$}
(\verb|\Huge$\frac{a}{b}$|). This may cause some problems when you want to write
a displayed formula in another fontsize\index{Font size}, because it also affects the interline spacing of
the preceding part of the paragraph.
@@ -2185,7 +2210,7 @@ If you use this the other way round for huge fontsizes, don't forget to load pac
\verb+exscale+ (see section~\vref{sec:exscale}). Also see this section for diffent symbol sizes.
-
+%$
\section{Dots\label{sec:Dots}}
\marginpar{\CMD{cdots}\\
@@ -2204,7 +2229,8 @@ lower left to upper right are possible with \verb|\reflectbox{$\ddots$}|\index{r
\reflectbox{$\ddots$}
\begin{table}[htb]
-\centering\begin{tabular}{*{5}{rc}}
+\centering
+\begin{tabular}{*{5}{rc}}
\CMD{cdots}\index{cdots@\textbackslash cdots}&$\cdots$ &
\CMD{ddots}\index{ddots@\textbackslash ddots}&$\ddots$ &
\CMD{dotsb}\index{dotsb@\textbackslash dotsb}&$\dotsb$ &
@@ -2265,16 +2291,16 @@ $\underleftrightarrow{a}$&
\caption{Accents in math mode}\label{cap:Accents-in-math mode}
\end{table}
-The letters \verb+i+ and \verb+j+ can be substituted with the macros \verb+\imath+ and \verb+\jmath+ when an accents is placed over these letters and the dot should
+The letters \verb+i+ and \verb+j+ can be substituted with the macros \CIndex{imath}
+and \CIndex{jmath} when an accents is placed over these letters and the dot should
disappear: $\vec{\imath}\ \dddot{\jmath}$ (\verb+$\vec{\imath}\ \dddot{\jmath}$+).
-\index{imath@\textbackslash imath}\index{jmath@\textbackslash jmath}
-Accents can be used in different ways, e.g. strike a single character with a horizontal line like
+Accents can be used in different ways, \eg strike a single character with a horizontal line like
\verb+$\mathaccent`-A$+: $\mathaccent`-A$ or \verb+$\mathaccent\mathcode`-A$+: $\mathaccent\mathcode`-A$.
-In section \vref{cancel.sty} is a better solution for more than one character.
+In section~\vref{cancel.sty} is a better solution for more than one character.
\subsection{Over- and underbrackets}
-There are no \CMD{underbracket}\index{underbracket@\textbackslash{}underbracket} and \CMD{overbracket}\index{overbracket@\textbackslash{}overbracket}
+There are no \CIndex{underbracket} and \CIndex{overbracket}
commands in the list of accents. They can be defined in the preamble
with the following code.
@@ -2297,7 +2323,7 @@ with the following code.
\def\bracketend#1#2{\vrule height #2 width #1\relax}
\makeatother
\end{lstlisting}
-
+%$
\begin{enumerate}
\item \verb/\underbrace{...}/ is an often used command:
\begin{eqnarray}
@@ -2324,11 +2350,11 @@ with the following code.
The \verb/\underbracket{...}/ command has two optional parameters:
\begin{itemize}
-\item the line thickness in any valid latex unit, e.g. \verb/1pt/
-\item the height of the edge brackets, e.g. \verb/1em/
+\item the line thickness in any valid latex unit, \eg \verb/1pt/
+\item the height of the edge brackets, \eg \verb/1em/
\end{itemize}
using without any parameters gives the same values for thickness and
-height as predefined for the \verb/\underbrace/ command.
+height as predefined for the \CIndex{underbrace} command.
\vspace{0.3cm}
@@ -2359,11 +2385,11 @@ more ways than \verb/\overbrace{...}/. For example:
The \verb/\overbracket{...}/ command has two optional parameters:
\begin{itemize}
-\item the line thickness in any valid latex unit, e.g. \verb/1pt/
-\item the height of the edge brackets, e.g. \verb/1em/
+\item the line thickness in any valid latex unit, \eg \verb/1pt/
+\item the height of the edge brackets, \eg \verb/1em/
\end{itemize}
using without any parameters gives the same values for thickness and
-height as predefined for the \verb/\overbrace/ command.
+height as predefined for the \CIndex{overbrace} command.
\vspace{0.3cm}
@@ -2375,29 +2401,31 @@ height as predefined for the \verb/\overbrace/ command.
\end{tabular}
\end{center}
-
+%$
\subsection{Vectors}
-Especially for vectors\index{Vector} there is the \verb|esvect.sty|\index{esvect.sty}%
+Especially for vectors\index{Vector} there is the package \PIndex{esvect}%
\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/contrib/esvect/}%
{CTAN://macros/latex/contrib/esvect/}} package, which looks better than the
-\CMD{overrightarrow}\index{overrightarrow@\textbackslash overrightarrow}, f.ex:
+\CMD{overrightarrow}\index{overrightarrow@\textbackslash overrightarrow}, \eg
-\begin{table}[htb]
-\centering\begin{tabular}{c|c}
+\begin{table}[!htb]
+\centering
+\begin{tabular}{c|c}
\textbackslash{}vv\{...\}&\textbackslash{}overrightarrow\{...\}\tabularnewline\hline
$\vv{a}$ & $\overrightarrow{a}$\tabularnewline
$\vv{abc}$ & $\overrightarrow{abc}$\tabularnewline
$\vv{\imath}$ & $\overrightarrow{\imath}$\tabularnewline
$\vv*{A}{x}$ & $\overrightarrow{A}_{x}$\tabularnewline
\end{tabular}
-\caption{Vectors with package \texttt{esvect.sty} (in the right column the
+\caption{Vectors with package \texttt{esvec} (in the right column the
default one from \LaTeX{})}
\end{table}
-Look into the documentation for more details about \verb|esvect.sty|.
+Look into the documentation for more details about the package \PIndex{esvect}.
+%$
\section{Exponents and indices}\label{sec:exponents}
The two active characters \verb|_| and \verb|^| can only be used in math mode. The
\textbf{following} character will be printed as an index (\verb|$y=a_1x+a_0$|: $y=a_1x+a_0$)
@@ -2416,16 +2444,32 @@ there are several possibilities. For example:
{\left({\left(x^2\right)}^3\right)}^4
\end{lstlisting}
-For variables with both exponent\index{Exponent} and indices index\index{Indices} the order is not important, \verb|$a_1^2$| is
-exactly the same than \verb|$a^2_1$|: $a_1^2=a^2_1$
+\index{Upright letters}
+For variables with both exponent\index{Exponent} and indice index\index{Indice}
+the order is not important, \verb|$a_1^2$| is
+exactly the same than \verb|$a^2_1$|: $a_1^2=a^2_1$. By default all exponents and indices
+are set as italic characters. It is possible to change this behaviour
+to get upright characters. The following example shows this for the indices.
+
+\bgroup
+\begin{LTXexample}[width=4.5cm,preset=\raggedright]
+$A_{abc_{xyz}123def}^{abc123def}aa$
+
+\makeatletter
+\catcode`\_\active
+\def_#1{\sb{\operator@font#1}}
+\makeatother
+$A_{abc_{xyz}123def}^{abc123def}aa$
+\end{LTXexample}
+\egroup
\section{Operators}\label{sec:ltxOperators}
They are written in upright font shape and are placed with some additional
space before and after for a better typesetting. With the \AmSmath
package it is possible to define one's own operators\index{Operator} (see
-section \vref{OperatorNames}). Table~\vref{tab:operator} and \vref{tab:operator2} show a list of
+section~\vref{OperatorNames}). Table~\vref{tab:operator} and \vref{tab:operator2} show a list of
the predefined ones for standard \LaTeX{}.
\begin{table}[htb]
@@ -2440,10 +2484,10 @@ the predefined ones for standard \LaTeX{}.
\end{tabular}
\caption{The predefined operators of \texttt{fontmath.ltx}}\label{tab:operator}
\end{table}
-The difference between \verb+\intop+ and \verb+\int+ is that the first one has by default
+The difference between \CIndex{intop} and \CIndex{int} is that the first one has by default
over/under limits and the second subscript/superscript limits. Both can be changed
-with the \verb+\limits+ or \verb+\nolimits+ command. The same behaviour happens to the
-\verb+\ointop+ and \verb+\oint+ Symbols.
+with the \CIndex{limits} or \CIndex{nolimits} command. The same behaviour happens to the
+\CIndex{ointop} and \CIndex{oint} Symbols.
\begin{table}[htb]
\centering
@@ -2468,7 +2512,9 @@ with the \verb+\limits+ or \verb+\nolimits+ command. The same behaviour happens
\makeatletter
\newcommand\foo{\mathop{\operator@font foo}\nolimits}
\makeatother
-For more predefined operator names see table~\vref{tab:amsopn}. It is easy to define a new operator with
+For more predefined operator names see table~\vref{tab:amsopn}. It is easy
+to define a new operator with
+%
\begin{lstlisting}
\makeatletter
\newcommand\foo{\mathop{\operator@font foo}\nolimits}
@@ -2476,24 +2522,32 @@ For more predefined operator names see table~\vref{tab:amsopn}. It is easy to de
\end{lstlisting}
Now you can use \verb|\foo| in the usual way:
-\begin{showexample}[width=4cm]
+%
+\begin{LTXexample}[width=4cm]
\[ \foo_1^2 = x^2 \]
-\end{showexample}
-In this example \verb|\foo| is defined with \verb|\nolimits|, means that limits\index{Limits} are placed in
+\end{LTXexample}
+In this example \verb|\foo| is defined with \verb|\nolimits|, means
+that limits\index{Limits} are placed in
superscript/subscript mode and not over under. This is still possible with \verb|\limits| in the
definition or the equation:
-\begin{showexample}[width=4cm]
+\begin{LTXexample}[width=4cm]
\[ \foo\limits_1^2 = x^2 \]
-\end{showexample}
+\end{LTXexample}
-\AmSmath has an own macro for a definition, have a look at section \vref{OperatorNames}.
+\AmSmath has an own macro for a definition, have a look at section~\vref{OperatorNames}.
\section{Greek letters}\label{sec:greek}
-The \AmSmath package simulates a bold font for the greek letters, it writes a greek character twice with a small kerning. The \verb|\mathbf{<character>}| doesn't work with lower greek character. See
-section \vref{sec:greek-AMS} for the \verb|\pmb| macro, which makes it possible to print bold lower greek\index{Greek} letters. Not all upper case letters have own macro names. If there is no difference to the roman font, then the default letter is used, e.g.: A for the upper case of
-$\alpha$. Table \ref{tab:greek-letters} shows only those upper case letters which have own macro names. Some of the lower case letters have an additional \verb|var| option for
-an alternative.
+The \AmSmath package simulates a bold font for the greek letters, it writes a
+greek character twice with a small kerning. The \verb|\mathbf{<character>}|
+doesn't work with lower greek character. See
+section \vref{sec:greek-AMS} for the \CIndex{pmb} macro, which makes it possible
+to print bold lower greek\index{Greek} letters. Not all upper case letters have
+own macro names. If there is no difference to the roman font, then the default
+letter is used, \eg A for the upper case of
+$\alpha$. Table \ref{tab:greek-letters} shows only those upper case letters
+which have own macro names. Some of the lower case letters have an additional
+\verb|var| option for an alternative.
\bgroup
\tabcolsep=3pt
@@ -2544,37 +2598,55 @@ lower & default & upper & default & \verb|\mathbf| & \verb|\mathit|\\\hline
\end{longtable}
\egroup
-Bold greek letters are possible with the package \verb+bm+ (see section \vref{sec:bm})
-and if they should also be upright with the package \verb+upgreek+:
-\index{greek}\index{greek!upright}\index{greek!bold}
+Bold \Index{greek} letters are possible with the package \PIndex{bm} (see section~\vref{sec:bm})
+and if they should also be upright with the package \PIndex{upgreek}:
+\index{greek!upright}\index{greek!bold}
\medskip
\verb+$\bm{\upalpha}, \bm{\upbeta} ... $+ $ \bm{\upalpha}, \bm{\upbeta} ... $
+A useful definition maybe:
+
+\begin{lstlisting}
+\usepackage{upgreek}
+\makeatletter
+\newcommand{\bfgreek}[1]{\bm{\@nameuse{up#1}}}
+\makeatother
+\end{lstlisting}
+
+\makeatletter
+\newcommand{\bfgreek}[1]{\bm{\@nameuse{up#1}}}
+\makeatother
+Then
+\verb|$\bfgreek{mu}$| will allow you to type $\bfgreek{mu}$ to obtain an upright boldface $\mu$.
\section{Pagebreaks}
-\marginpar{\CMD{allowdisplaybreaks}}By default a displayed formula cannot have a pagebreak. This makes some sense, but sometimes it gives a better typesetting when a pagebreak is possible.
+\marginpar{\CMD{allowdisplaybreaks}}By default a displayed formula cannot
+have a pagebreak. This makes some sense, but sometimes it gives a better
+typesetting when a pagebreak is possible.
\begin{verbatim}
\allowdisplaybreaks
\end{verbatim}
-\index{allowdisplaybreaks@\textbackslash allowdisplaybreaks} This macro enables \TeX{} to insert pagebreaks into displayed formulas whenever a newline command appears.\index{Pagebreak} With the command \verb+\displaybreak+ it is also possible to insert a pagebreak at any place.\index{displaybreak@\textbackslash displaybreak}
+\CIndex{allowdisplaybreaks} enables \TeX{} to insert pagebreaks into
+displayed formulas whenever a newline command appears.\index{Pagebreak}
+With the command \CIndex{displaybreak} it is also possible to insert a
+pagebreak at any place.
\section{\CMD{stackrel}}
-\CMD{stackrel}\index{stackrel@\textbackslash stackrel}
-puts a character on top of another one which may be important if a
+\CIndex{stackrel} puts a character on top of another one which may be important if a
used symbol is not predefined. For example ``$\stackrel{\wedge}{=}$''
-(\verb|\stackrel{\wedge}{=}|).
+(\verb|\stackrel{\wedge}{=}|). \marginpar{\CMD{stackrel}}
The syntax is
-
\begin{lstlisting}
\stackrel{top}{base}
\end{lstlisting}
+
Such symbols may be often needed so that a macro definition in the preamble makes some sense:
\begin{lstlisting}
@@ -2584,13 +2656,14 @@ Such symbols may be often needed so that a macro definition in the preamble mak
}%
}
\end{lstlisting}
-With the \CMD{ensuremath}\index{ensuremath@\textbackslash ensuremath}
-command we can use the new \CMD{eqdef} command in text
+%
+With the \CIndex{ensuremath} command we can use the new \CIndex{eqdef} command in text
and in math mode, \LaTeX{} switches automatically in math mode, which
saves some keystrokes like the following command, which is written
without the delimiters (\texttt{\$...\$}) for the math mode \eqdef ,
only \CMD{eqdef} with a space at the end. In math mode
-together with another material it may look like $\vec{x}\eqdef\left(x_{1},\ldots,x_{n}\right)$ and as command sequence
+together with another material it may look like
+$\vec{x}\eqdef\left(x_{1},\ldots,x_{n}\right)$ and as command sequence
\begin{lstlisting}
$\vec{x}\eqdef\left(x_{1},\ldots,x_{n}\right)$
@@ -2602,11 +2675,10 @@ top or decrease the base.
\section{\CMD{choose}}
-\CMD{choose}\index{choose@\textbackslash choose}\index{Binom}
-is like \CMD{atop}\index{atop@\textbackslash atop}
-with delimiters or like \CMD{frac}\index{frac@\textbackslash frac}
+\CIndex{choose}\index{Binom} is like \CIndex{atop}
+with delimiters or like \CIndex{frac}
without the fraction line and also with delimiters. It is often used
-for binoms and has the following syntax:
+for binoms and has the following syntax:\marginpar{\CMD{choose}}
\begin{lstlisting}
{above \choose below}
@@ -2622,7 +2694,7 @@ The two braces are not really important but it is safe to use them.
\end{lstlisting}
-See section \vref{sub:Binoms} for the \AmSmath equivalents and enhancements.
+See section~\vref{sub:Binoms} for the \AmSmath equivalents and enhancements.
\section{Color in math expressions}\label{sec:color}
\index{Color}There is no difference in using colored text and colored math expressions. With
@@ -2634,7 +2706,7 @@ See section \vref{sub:Binoms} for the \AmSmath equivalents and enhancements.
\begin{equation}
\textcolor{blue}{f(x)} = \int\limits_1^{\infty}\textcolor{red}{\frac{1}{x^2}}\,dx=1
\end{equation}
-
+\marginpar{\CMD{textcolor}}
\begin{lstlisting}
\begin{equation}
\textcolor{blue}{f(x)} = \int\limits_1^{\infty}\textcolor{red}{\frac{1}{x^2}}\,dx=1
@@ -2800,9 +2872,9 @@ There are some other macros which are not mentioned in the foregoing text. Here
a not really complete list of these macros.
\begin{description}
\item[\CMD{everymath}] \index{everymath@\textbackslash everymath} puts the argument before
-any inlined math expression, e.g. \verb+\everymath{\small}+.
+any inlined math expression, \eg \verb+\everymath{\small}+.
\item[\CMD{everydisplay}] \index{everydisplay@\textbackslash everydisplay} puts the
-argument before any displayed math expression, e.g. \verb+\everydisplay{\color{blue}}+.
+argument before any displayed math expression, \eg \verb+\everydisplay{\color{blue}}+.
\item[\CMD{underline}] \index{underline@\textbackslash underline} underlines a math
expression and has to be used inside the math mode.
\[
@@ -2849,7 +2921,7 @@ have subscripts placed underneath when they occur in a displayed equation.\\\hli
\bigskip
To use one of these package options, put the option name in the optional
-argument, e.g.,
+argument, \eg
\verb|\usepackage[intlimits]{amsmath}|. The %%% ----- Martin -----
\AmSmath also recognises the following options which are normally
selected (implicitly or explicitly) through the \verb|documentclass|
@@ -2911,11 +2983,11 @@ with the same code, where the first three can have an equation number}\label{cap
\end{table}
-In difference to the \verb+eqnarray+ environment from standard \LaTeX{}
+In difference to the \UIndex{eqnarray} from standard \LaTeX{}
(section~\ref{display:eqnarray}), the ``three'' parts
of one equation \verb+expr.-symbol-expr.+ are divided by only one ampersand %%% ----- Martin -----
-in two parts. In general the ampersand should be before the symbol to get the right spacing, e.g.
-\verb+y &= x+. Compare the following three equations, the second one has a wrong spacing. %%% ----- Martin -----
+in two parts. In general the ampersand should be before the symbol to get the right spacing,
+\eg \verb+y &= x+. Compare the following three equations, the second one has a wrong spacing. %%% ----- Martin -----
\noindent
@@ -2971,12 +3043,12 @@ the \texttt{align} environment gives:
\begin{itemize}
\item The \texttt{align} environment has an implicit \textbf{\{rlrl...\}}
-horizontal alignment with a vertical column-alignment, e.g.:
-\begin{showexample}[width=0.5\linewidth]
+horizontal alignment with a vertical column-alignment, \eg
+\begin{LTXexample}[width=0.5\linewidth]
\begin{align*}
1 & 2 & 3
\end{align*}
-\end{showexample}
+\end{LTXexample}
\item A nonumber-version \texttt{\small \textbackslash{}begin\{align{*}\}...\textbackslash{}end\{align{*}\}}
exists.
@@ -3075,13 +3147,13 @@ exists.
environments. It is nearly the same as the \texttt{xalignat} environment, only
more ``out spaced'' and ``left aligned''.
-\begin{showexample}[width=0.5\linewidth]
+\begin{LTXexample}[width=0.5\linewidth]
\begin{flalign}
i_{11} & =0.25\nonumber \\
i_{21} & =\frac{1}{3}i_{11}\\
i_{31} & =0.33i_{22}
\end{flalign}
-\end{showexample}
+\end{LTXexample}
\medskip
As seen, the equations are not really left aligned, when they have only one
@@ -3218,17 +3290,17 @@ When using one of the \verb+align+ environments, there should be no \verb+\\+ at
end of the last line, otherwise you'll get another equation number for this
``empty{}'' line: %%% ----- Martin -----
-\begin{showexample}[width=0.65\linewidth]
+\begin{LTXexample}[width=0.65\linewidth]
\begin{align}
2x+3 &= 7\\
\end{align}
-\end{showexample}
+\end{LTXexample}
-\begin{showexample}[width=0.65\linewidth]
+\begin{LTXexample}[width=0.65\linewidth]
\begin{align}
2x+3 &= 7
\end{align}
-\end{showexample}
+\end{LTXexample}
\section{Other environments}
\subsection{\texttt{gather} environment}
@@ -3913,7 +3985,7 @@ has some more commands for the $n$-th root:
\noindent \verb+<number>+ indicates a value for the points%
\footnote{In PostScript units (bp -- Big Points).} of which the root can be
-adjusted to the left and/or to the top, e.g.:
+adjusted to the left and/or to the top, \eg
$\sqrt[k_n]{a}$ (\verb+$\sqrt[k_n]{a}$+) has a too deep exponent, whereas $\sqrt[\uproot{2}k_n]{a}$ \verb+$\sqrt[\uproot{2}k_n]{a}$+ looks nicer.
@@ -4727,7 +4799,7 @@ too short. With \verb+\delimiterfactor+ one can correct this height. The delimit
is $<\textrm{calculated height}>\cdot <\textrm{\#1}>/1000$ where \verb+#1+ is the parameter of
\verb+\delimiterfactor+. The default value is $901$.
-\begin{showexample}[width=0.4\linewidth]
+\begin{LTXexample}[width=0.4\linewidth]
\[
y = \left\{%
\begin{array}{ll}
@@ -4738,9 +4810,9 @@ y = \left\{%
\end{array}%
\right.
\]
-\end{showexample}
+\end{LTXexample}
-\begin{showexample}[width=0.4\linewidth]
+\begin{LTXexample}[width=0.4\linewidth]
\[
\delimiterfactor=1500
y = \left\{%
@@ -4752,7 +4824,7 @@ y = \left\{%
\end{array}%
\right.
\]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{delimitershortfall}}
\cIndex{delimitershortfall}Additionally to the forgoing \verb+\delimiterfactor+ one can modify the height of the
@@ -4760,20 +4832,20 @@ delimiter with another value. \TeX{} makes the delimiter larger than the values
$<\textrm{calculated height}>\cdot <\textrm{delimiterfactor}>/1000$ and $<\textrm{calculated height}>-<\textrm{delimitershortfall}>$. This makes it possible to always get different heights %%% ----- Martin -----
of a sequence of delimiters.
-\begin{showexample}[width=0.3\linewidth]
+\begin{LTXexample}[width=0.3\linewidth]
$x\cdot\left(\left(x^2-y^2\right)-3\right)$\\[7pt]
$
\delimitershortfall-1pt
x\cdot\left(\left(x^2-y^2\right)-3\right)$
-\end{showexample}
+\end{LTXexample}
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
$\left(\left(\left(A\right)\right)\right)$\\[7pt]
$\delimitershortfall-1pt
\left(\left(\left(A\right)\right)\right)$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{displayindent}}
@@ -4785,7 +4857,7 @@ The following formula is typeset in the usual way without modifying anything.
\[ f(x) = \int \frac{\sin x}{x}dx \]
-Now we start a quotation environment which sets \verb+\labelwidth+ to new values for a
+Now we start a quotation environment which sets \CIndex{labelwidth} to new values for a
greater %%% ----- Martin -----
left margin.
@@ -4794,7 +4866,7 @@ left margin.
\[ f(x) = \int \frac{\sin x}{x}dx \]
-\item Now we write the same equation, but now with modifying \verb+\displayindent+, it is set to
+\item Now we write the same equation, but now with modifying \Index{displayindent}, it is set to
the negative \verb+\labelwidth+:
\[
@@ -4848,11 +4920,12 @@ inline math mode (see section~\ref{subsec:whitespace}).
\cIndex{muskipdef}Defines a symbolic name for a \verb+\muskip+ register.
\subsection{\CMD{nonscript}}
-\cIndex{nonscript}Ignores immediately following glue or kern in script and scriptscript styles, which makes
-a redefinition of \verb+\mathchoice+ superfluous.
+\cIndex{nonscript}Ignores immediately following glue or kern in script and
+scriptscript styles, which makes a redefinition of \verb+\mathchoice+ superfluous.
\subsection{\CMD{nulldelimiterspace}}
-\cIndex{nulldelimiterspace}This is the width of a null or missing delimiter, e.g. \verb+\right.+ or for the left one.
+\cIndex{nulldelimiterspace}This is the width of a null or missing delimiter,
+\eg \verb+\right.+ or for the left one.
\subsection{\CMD{predisplaysize}}
\cIndex{predisplaystyle}Is the effective width of the line preceeding a displayed equation, whether
@@ -4869,15 +4942,15 @@ a redefinition of \verb+\mathchoice+ superfluous.
for a negative skip as \verb+\def\!{\mskip-\thinmuskip}+ (see also section~\ref{subsec:mathskip}).
-\begin{showexample}[width=0.35\linewidth]
+\begin{LTXexample}[width=0.35\linewidth]
$\sqrt 2 x$ -- $\sqrt 2\,x$\\
$\sqrt{\log x}$ -- $\sqrt{\,\log x}$\\
$P\left({1/\sqrt n}\right)$ -- $P\left({1/ \sqrt n}\,\right)$\\[8pt]
$[0,1)$ -- $[\,0,1)$\\
$x^2/2$ -- $x^2\!/2$\\
-\end{showexample}
+\end{LTXexample}
-\begin{showexample}[width=0.35\linewidth]
+\begin{LTXexample}[width=0.35\linewidth]
\[\int\int_D dxdy \quad
\int\!\int_D dx\,dy\]
\[\int\!\!\int_D dx\,\,dy \quad
@@ -4885,7 +4958,7 @@ $x^2/2$ -- $x^2\!/2$\\
\[\int\!\!\!\!\int_D dx\,\,\,\,dy \quad
\int\!\!\!\!\!\int_D dx\,\,\,\,\,dy\]
\[\int\!\!\!\int_D dx\,dy\]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{medmuskip}}
See section~\ref{subsec:mathskip}.
@@ -4893,17 +4966,20 @@ See section~\ref{subsec:mathskip}.
\section{Math font macros}
\subsection{\CMD{delcode}}
-\cIndex{delcode}Each character has not only a \verb+\catcode+ and \verb+\mathcode+ but also
+\cIndex{delcode}Each character has not only a \CIndex{catcode} and \CIndex{mathcode} but also
a \verb+\delcode+
which defines for a single chracter how it should look when used as a math delimiter.
\subsection{\CMD{delimiter}}
-\cIndex{delimiter}Every character can be declared as a delimiter, but \TeX{} must know which characters
-should be used for the default and the big size. For \LaTeX{} the macro \verb+\DeclareMathDelimiter+ should be used (see section~\ref{subsec:delim}).
-
-In the following example \verb+\tdela+ is the character $0x22$ ($\uparrow$) from font number $2$ (\verb+csmy+) and character $0x78$ from font number $3$ (\verb+cmex+) for the big version.
-\verb+\tdelb+ is the same vice versa ($\downarrow$).
-\begin{showexample}[width=0.35\linewidth]
+\cIndex{delimiter}Every character can be declared as a delimiter, but \TeX{}
+must know which characters
+should be used for the default and the big size. For \LaTeX{}
+the macro \CIndex{DeclareMathDelimiter} should be used (see section~\vref{subsec:delim}).
+
+In the following example \verb+\tdela+ is the character $0x22$ ($\uparrow$) from
+font number $2$ (\verb+csmy+) and character $0x78$ from font number $3$ (\verb+cmex+)
+for the big version. \verb+\tdelb+ is the same vice versa ($\downarrow$).
+\begin{LTXexample}[width=0.35\linewidth]
\def\tdela{\delimiter"4222378\relax}
\def\tdelb{\delimiter"5223379\relax}
@@ -4912,7 +4988,7 @@ $\tdela x-y\tdelb(x+y)=x^2-y^2$
\[\tdela\sum_{n=0}^\infty {1\over2^n}\tdelb^2 = 4\]
\[\left\tdela\sum_{n=0}^\infty {1\over2^n}\right\tdelb^2 = 4\]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{displaystyle}}
\cIndex{displaystyle}See section~\ref{sec:Styles} for an example.
@@ -4939,32 +5015,32 @@ possible families of fonts. \verb+\fam+ in an internal register where other macr
\end{center}
-\begin{showexample}[width=0.3\linewidth]
+\begin{LTXexample}[width=0.3\linewidth]
$\mathrm{123abcABC\alpha\beta\gamma (\the\fam)}$\\[5pt]
$\mathbf{123abcABC\alpha\beta\gamma (\the\fam)}$\\[5pt]
$\mathit{123abcABC\alpha\beta\gamma (\the\fam)}$\\[5pt]
$\mathtt{123abcABC\alpha\beta\gamma (\the\fam)}$\\[5pt]
$\mathsf{123abcABC\alpha\beta\gamma (\the\fam)}$\\[5pt]
$\mathnormal{123abcABC\alpha\beta\gamma (\the\fam)}$
-\end{showexample}
+\end{LTXexample}
\fi
\subsection{\CMD{mathaccent}}
\cIndex{mathaccent}Requires three parameter as one number, the class, the font family and the character.
-\begin{showexample}[width=0.3\linewidth]
+\begin{LTXexample}[width=0.3\linewidth]
\def\dA{\mathaccent"7015\relax}
{\Large $\dA{A}$}
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{mathbin}}
-\cIndex{mathbin}Declares a following character as a binary symbol with another spacing before and behind such
-a symbol.
+\cIndex{mathbin}Declares a following character as a binary symbol with another
+spacing before and behind such a symbol.
-\begin{showexample}[width=0.3\linewidth]
+\begin{LTXexample}[width=0.3\linewidth]
{\Large
$a|b \quad a\mathbin| b$}
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{mathchar}}
\cIndex{mathchar}Declares a math character by three integer numbers as Parameters, giving its class, %%% ----- Martin -----
@@ -4972,30 +5048,32 @@ font family, and font position. In the following example \verb+\mathchar+ define
character of class 1 (big operators), font family 3 (math extension font) and number
58 (big sum character).
-\begin{showexample}[width=0.3\linewidth]
+\begin{LTXexample}[width=0.3\linewidth]
{\Large
$a\sum\limits_{i=1}^{\infty} b \quad
a\mathchar"1358\limits_{i=1}^{\infty} b$}
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{mathchardef}}
-\cIndex{mathchardef}This is in principle the same as \verb+\mathchar+, it only allows to make such definitions permanent. %%% ----- Martin -----
+\cIndex{mathchardef}This is in principle the same as \CIndex{mathchar},
+it only allows to make such definitions permanent.
-\begin{showexample}[width=0.25\linewidth]
+\begin{LTXexample}[width=0.25\linewidth]
\bgroup
\mathchardef\sum="1358
$a\sum\limits_{i=1}^{\infty}\sqrt{i+1}$\\[5pt]
\egroup
$a\sum\limits_{i=1}^{\infty}\sqrt{i+1}$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{mathchoice}}
-\cIndex{mathchoice}Specifies specific subformula sizes for the 4 main styles: \verb+displaystyle+ -- \verb+textstyle+ --
-\verb+scriptstyle+ -- \verb+scriptscriptstyle+.
+\cIndex{mathchoice}Specifies specific subformula sizes for the 4 main styles:
+\CIndex{displaystyle} -- \CIndex{textstyle} --
+\CIndex{scriptstyle} -- \CIndex{scriptscriptstyle}.
-\begin{showexample}[width=0.15\linewidth]
+\begin{LTXexample}[width=0.15\linewidth]
\Large
\def\myRule{{%
\color{red}%
@@ -5004,32 +5082,32 @@ $a\sum\limits_{i=1}^{\infty}\sqrt{i+1}$
\mkern2mu}}
$\myRule\sum\limits_{\myRule i=1}^{\myRule\infty}%
\myRule\frac{\myRule\sqrt{\myRule i+1}}{\myRule i^2}$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{mathclose}}\label{subsec:mathclose}
-\cIndex{mathclose}Assigns class 5 (closing character) to the following parameter, which can hold a single character
-or a subformula.
+\cIndex{mathclose}Assigns class 5 (closing character) to the following
+parameter, which can hold a single character or a subformula.
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
{\large
$A:\frac{B}{C}:D$\\[5pt]
$A\mathopen:\frac{B}{C}\mathclose: D $}
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{mathcode}}
\cIndex{mathcode}A math font is far different from a text font. A lot of the characters has to be defined with
-\verb+\mathcode+, which defines the character with its class, font family and character number, e.g.
+\verb+\mathcode+, which defines the character with its class, font family and character number, \eg
\verb+\mathcode`\<="313C+. It defines the character ``<''{} as a realtion symbol (class 3) from
the font family 1 and the character number 0x3C, which is 60 decimal.
\subsection{\CMD{mathop}}
\cIndex{mathop}Assigns class 1 (large operator) to the parameter, which can be a single character or a subformula.
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
\[ A_{i=1}^{\infty} \]
\[ \mathop{A}_{i=1}^{\infty} \]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{mathopen}}
\cIndex{mathopen}Vice versa to \verb+\mathclose+ (see section~\ref{subsec:mathclose}).
@@ -5039,11 +5117,11 @@ the font family 1 and the character number 0x3C, which is 60 decimal.
\cIndex{mathord}Assigns class 0 (ordinary character) to the following parameter, which can be a single character
or a subformula.
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
{\large
$y = f(x)$\\[5pt]
$y \mathord= f(x)$}
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{mathpunct}}
\cIndex{mathpunct}Assigns class 6 (punctuation) to the following parameter, which can be a single character
@@ -5053,22 +5131,22 @@ or a subformula (see section~\ref{subsec:dot-comma} for an example).
\cIndex{mathrel}Assigns class 3 (relation) to the following parameter, which can be a single character
or a subformula.
-\begin{showexample}[width=0.25\linewidth]
+\begin{LTXexample}[width=0.25\linewidth]
{\large
$x_1 o x_2 o x_3$\\[5pt]
$x_1\mathrel o x_2\mathrel o x_3$}
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{scriptfont}}
\cIndex{scriptfont}Specifies the scriptstyle font (used for super/subscript) for a family.
-\begin{showexample}[width=0.25\linewidth]
+\begin{LTXexample}[width=0.25\linewidth]
$A_1$
\font\tenxii=cmr12
\scriptfont0=\tenxii
$A_1$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{scriptscriptfont}}
@@ -5090,14 +5168,14 @@ $A_1$
\end{description}
\AmSmath\ redefines the setting of double accents. This is the reason why there are only a few
-cases where someone has to use \verb+\skew+ when \verb+amsmath.sty+ is loaded, like
+cases where someone has to use \verb+\skew+ when the package \PIndex{amsmath} is loaded, like
in this document.
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
\large
$\tilde i$ \qquad $\tilde{A}$\\[5pt]
$\skew{3}{\tilde}{i}$ \qquad $\skew{7}{\tilde}{A}$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{skewchar}}
\cIndex{skewchar}Is -1 or the character (reference symbol) used to fine-tune the positioning of math accents.
@@ -5115,7 +5193,7 @@ $\skew{3}{\tilde}{i}$ \qquad $\skew{7}{\tilde}{A}$
\subsection{\CMD{above}}
\cIndex{above}
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
$a\above0pt b$\\[8pt]
${a\above1pt b}$\\[8pt]
@@ -5123,13 +5201,13 @@ ${a\above1pt b}$\\[8pt]
${a\above2.5pt b}$\\[8pt]
$\displaystyle{a\above0pt b}$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{abovewithdelims}}
\cIndex{abovewithdelims}
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
$a\abovewithdelims()0pt b$\\[8pt]
\def\fdelimA{\abovewithdelims\{)1.0pt}
@@ -5140,29 +5218,29 @@ ${a\fdelimB b}$\\[8pt]
\def\fdelimC{\abovewithdelims\{.0pt}
$\displaystyle{a\fdelimC b}$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{atop}}
\cIndex{atop}
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
$a\atop b$\\[8pt]
$({n \atop k}) = {n!\above1pt k!(n-k)!}$\\[8pt]
$\displaystyle{a\atop b}$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{atopwithdelims}}
\cIndex{atopwithdelims}
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
$a\atopwithdelims() b$\\[8pt]
${n \atopwithdelims() k} = {n!\above1pt k!(n-k)!}$\\[8pt]
$\displaystyle{a\atopwithdelims\{. b}$
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{displaylimits}}
\cIndex{displaylimits}Resets the conventions for using limits with operators to the standard for the used environment.
@@ -5171,33 +5249,34 @@ $\displaystyle{a\atopwithdelims\{. b}$
\cIndex{eqno}Puts an equation number at the right margin, the parameter can hold anything. \verb+\eqno+ places
only the parameter, but doesn't increase any equation counter.
-\begin{showexample}[width=0.5\linewidth]
+\begin{LTXexample}[width=0.5\linewidth]
\[ y=f(x) \eqno{(A12)} \]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{everydisplay}}
\cIndex{everydisplay}Inserts the parameter at the start of every switch to display math mode.
-\begin{showexample}[width=0.4\linewidth]
+\begin{LTXexample}[width=0.4\linewidth]
\everydisplay{\color{red}
}
\[ f(x) = \int \frac{\sin x}{x}dx \]
\[ g(x) = \int \frac{\sin^2 x}{x^2}dx \]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{everymath}}
-\cIndex{everymath}Same as \verb+\everydisplay+, but now for the inline mode. In the following example
-the displaystyle is used (besides using color red) for every inline math expression. %%% ----- Martin -----
+\cIndex{everymath}Same as \CIndex{everydisplay}, but now for the inline mode.
+In the following example
+the displaystyle is used (besides using color red) for every inline math expression.
\bgroup
-\begin{showexample}[width=0.45\linewidth]
+\begin{LTXexample}[width=0.45\linewidth]
\everymath{\color{red}%
\displaystyle}
\[ f(x) = \int \frac{\sin x}{x}dx \]
Instead of $\frac{\sin x}{x}$
now with $\frac{\cos x}{x}$:
\[ g(x) = \int \frac{\cos x}{x}dx \]
-\end{showexample}
+\end{LTXexample}
\egroup
Pay attention for side effects on footnotes and other macros which use the math mode for superscript
@@ -5208,54 +5287,54 @@ and other math related modes. In this case you'll get the footnotes also in red.
Requires an additional \verb+right+.
\subsection{\CMD{leqno}}
-\cIndex{leqno}Vice versa to \verb+\eqno+ (see section~\ref{subsec:eqno}).
+\cIndex{leqno}Vice versa to \verb+\eqno+ (see section~\vref{subsec:eqno}).
\subsection{\CMD{limits}}
-\cIndex{limits}Typesets limits above and/or below operators (see section~\ref{sec:limits}).
+\cIndex{limits}Typesets limits above and/or below operators (see section~\vref{sec:limits}).
\subsection{\CMD{mathinner}}
\cIndex{mathinner}Defines the following parameter as subformula.
\subsection{\CMD{nolimits}}
-\cIndex{nolimits}The opposit of \verb+\limits+, instead of above/below limits are placed to the right of large
+\cIndex{nolimits}The opposit of \CIndex{limits}, instead of above/below limits are placed to the right of large
operators (class 1).
\subsection{\CMD{over}}
\cIndex{over}Is equivalent to the fraction macro of \LaTeX{} and equivalent to the
-\verb+\overwithdelims+, see section~\ref{subsec:overwithdelims}.
+\verb+\overwithdelims+, see section~\vref{subsec:overwithdelims}.
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
$ {a\over b} \qquad {{m\over n}\over{a+b}} $
\[ {m\over n}\over{a+b} \]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{overline}}
\cIndex{overline}Puts a line over the following character or subformula and has the same problems with different
heights as underlines (see section~\ref{subsec:underline}).
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
$\overline{x}+\overline{y}=\overline{z}$\\
\let\ol\overline
$ \ol{x} + \ol{A} = \ol{z} $\\[5pt]
\def\yPh{\vphantom{A}}
$ \ol{x\yPh} + \ol{A} = \ol{z\yPh} $
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{overwithdelims}}\label{subsec:overwithdelims}
\cIndex{overwithdelims}Is a generalized fraction command with preset fraction bar thickness. %%% ----- Martin -----
-\begin{showexample}[width=0.25\linewidth]
+\begin{LTXexample}[width=0.25\linewidth]
$ {a\overwithdelims() b} \qquad {{m\over n}\overwithdelims[]{a+b}} $
\[ {m\over n}\overwithdelims\{.{a+b} \]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{radical}}
\cIndex{radical}Makes a radical atom from the delimiter (27-bit number) and the math field.
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
\def\mySqrt{\radical"0270371\relax}
$ \mySqrt{\frac{1}{7}} $\\[5pt]
@@ -5267,16 +5346,17 @@ $ \mySqrt{\frac{1}{7}} $\\[5pt]
\def\mySqrt{\radical"0270374\relax}
$ \mySqrt{\frac{1}{7}} $\\[5pt]
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{right}}
-\cIndex{right}Opposite to \verb+\left+, makes \TeX{} calculate the size of the delimiter needed at the right of a formula.
+\cIndex{right}Opposite to \verb+\left+, makes \TeX{} calculate the size of the
+delimiter needed at the right of a formula.
\subsection{\CMD{underline}}\label{subsec:underline}
\cIndex{underline}When there is a combination of variables with and without an index, the underlines are typeset %%% ----- Martin -----
with a different depth. Using \verb+\vphantom+ in this case is a good choice.
-\begin{showexample}[width=0.2\linewidth]
+\begin{LTXexample}[width=0.2\linewidth]
$\underline{x}+\underline{y}=\underline{z}$\\
\let\ul\underline
@@ -5284,7 +5364,7 @@ $\underline{x}+\underline{y}=\underline{z}$\\
$ \ul{x\yPh} + \ul{y} = \ul{z\yPh} $\\
$ \ul{x_1} + \ul{y_2} = \ul{z_3} $
-\end{showexample}
+\end{LTXexample}
\subsection{\CMD{vcenter}}
\cIndex{vcenter}Centers vertical material with respect to the axis.
@@ -5313,7 +5393,6 @@ when the binary symbol is not the last one and when the penalty is below 10,000.
The following sections are not a replacement for the package documentation!
\section{List of available math packages}
-
\begin{center}
\noindent
\begin{tabular}{llll}
@@ -5389,8 +5468,8 @@ delarray.sty 1994/03/14 v1.01 array delimiter package (DPC)
}
-\section{\texttt{accents}}\label{sec:package-accent}
-\index{Accent}If you want to write for example an underlined M, then you can do it by %%% ----- Martin -----
+\subsection{\texttt{accents}}\label{sec:package-accent}
+If you want to write for example an underlined M, then you can do it by %%% ----- Martin -----
\medskip
\begin{tabular}{ll}
@@ -5400,21 +5479,21 @@ delarray.sty 1994/03/14 v1.01 array delimiter package (DPC)
\end{tabular}
\medskip
-As seen, there is no difference between \verb|\underline| and \verb|\underbar|. For %%% ----- Martin -----
-some reasons it may be better to use the package \verb|accents.sty| with the
-\verb|\underaccents| macro.
+As seen, there is no difference between \CMD{underline} and \CMD{underbar}. For %%% ----- Martin -----
+some reasons it may be better to use the \PIndex{accent} package with the
+\CMD{underaccents} macro.
-\section{\texttt{amscd} -- commutative diagrams}
+\subsection{\texttt{amscd} -- commutative diagrams}
-\verb|amscd.sty|\index{amscd.sty} is part of the \AmSmath bundle
+The \PIndex{amscd} package is part of the \AmSmath bundle
or available at CTAN%
\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/required/amslatex/math/amscd.dtx}%
{CTAN://macros/latex/required/amslatex/math/amscd.dtx}} and has no options for the
\verb|\usepackage| command.
-\texttt{amscd.sty} does not support diagonal arrows but is much %%% ----- Martin -----
-easier to handle than the complex pstricks\index{pstricks.sty} or
-the xypic\index{xypic.sty} package. On the other hand simple diagrams
-can be written with the array environment or look at \cite{taylor00}.
+\texttt{amscd} does not support diagonal arrows but is much %%% ----- Martin -----
+easier to handle than the complex \PIndex{pstricks} package or
+the \PIndex{xypic} package. On the other hand simple diagrams
+can be written with the \UIndex{array} or look at \cite{taylor00}.
\[
\begin{CD}
@@ -5435,8 +5514,8 @@ can be written with the array environment or look at \cite{taylor00}.
\end{lstlisting}
-\section{\texttt{amsopn}}\label{sec:amsopn}
-With this package it is very easy to declare new math operators, which are written in
+\subsection{\texttt{amsopn}}\label{sec:amsopn}
+With the \PIndex{amsopn} package it is very easy to declare new math operators, which are written in
upright mode:
$\underset{s=p}{Res}\quad\text{versus}\quad\underset{s=p}{\Res}$
@@ -5474,13 +5553,13 @@ Table~\ref{tab:amsopn} shows the predefined operatornames of \verb+amsopn+.
\end{table}
-\section{\texttt{bigdel}}\label{sec:bigdelim}
-This is a very useful package together with the \verb|multirow.sty| package.
+\subsection{\texttt{bigdel}}\label{sec:bigdelim}
+This is a very useful package together with the \PIndex{multirow} package.
In the following example we need additional parentheses for a different
-number of rows. This is also possible with the \verb|array| environment,
-but not as easy as with \verb|bigdelim.sty|. The trick is that you need one
+number of rows. This is also possible with the \UIndex{array},
+but not as easy as with the \PIndex{bigdelim} package. The trick is that you need one
separate column for a big delimiter, but with empty cells in all rows, which
-the delimiter spans.
+the delimiter spans.
\[
\begin{pmatrix}
@@ -5514,26 +5593,27 @@ the delimiter spans.
As seen in the above listing the left big delimiter is placed in the first
column, all other rows start with second column. It is possible to use all
-columns above and below the delimiter. For the \verb|array| environment
+columns above and below the delimiter. For the \UIndex{array}
there must be two more columns defined, in case of a big delimiter left and
-right. The syntax of \verb|\ldelim| and \verb|\rdelim| is:
+right. The syntax of \CIndex{ldelim} and \CIndex{rdelim} is:
+%
\begin{verbatim}
\ldelim<delimiter>{<n rows>}{<added horizontal space>}[<text>]
\rdelim<delimiter>{<n rows>}{<added horizontal space>}[<text>]
\end{verbatim}
-Any delimiter which is possible for the \verb|\left| or \verb|\right| command
-is allowed, e.g.: ``\verb/()[]{}|/''. The text is an optional argument and %%% ----- Martin -----
+Any delimiter which is possible for the \CIndex{left} or \CIndex{right} command
+is allowed, \eg ``\verb/()[]{}|/''. The text is an optional argument and
always typeset in text mode.
-\section{\texttt{bm}}\label{sec:bm}
-By default the math macro \verb|mathbf| writes everything in bold and in upright mode
+\subsection{\texttt{bm}}\label{sec:bm}
+By default the math macro \CIndex{mathbf} writes everything in bold and in upright mode
$\mathbf{y=f(x)}$ (\verb|$\mathbf{y=f(x)}$|), but it should be in italic mode especially
-for variables $\bm{y=f(x)}$ (\verb|$\bm{y=f(x)}$|). For writing a whole formula in bold
-have a look at section \vref{sec:boldmath}.
+for variables $\bm{y=f(x)}$ (\verb|$\bm{y=f(x)}$|), which is possible with the package \PIndex{bm}.
+For writing a whole formula in bold have a look at section~\vref{sec:boldmath}.
-\section{\texttt{braket}}\label{sec:braket}
+\subsection{\texttt{braket}}\label{sec:braket}
It is available at
\href{http://www.ctan.org/tex-archive/macros/latex/contrib/other/misc/braket.sty}%
{CTAN://macros/latex/contrib/other/misc/braket.sty}
@@ -5546,7 +5626,7 @@ and provides several styles for writing math expressions inside brakets. For exa
\end{lstlisting}
\noindent looks not quit right and it is not really easy to get the first vertical line in the same
-size as the outer braces. Some solution may be using \CMD{vphantom}: %%% ----- Martin -----
+size as the outer braces. Some solution may be using \CIndex{vphantom}:
\[
\left\{\vphantom{\frac{5}{3}}x\in\mathbf{R} \right|\left. 0<{|x|}<\frac{5}{3}\right\}
@@ -5558,7 +5638,7 @@ size as the outer braces. Some solution may be using \CMD{vphantom}: %%% ----
\]
\end{lstlisting}
-\verb|braket.sty| has the macros
+The package \PIndex{braket} has the macros
\begin{lstlisting}
\Bra{<math expression>}
@@ -5583,9 +5663,9 @@ size as the outer braces. Some solution may be using \CMD{vphantom}: %%% ----
\[ \Set{x\in\mathbf{R} | 0<|x|<\frac{5}{3}} \]
\end{lstlisting}
-The difference between the \CMD{Set} and the \CMD{Braket} macro is the handling of the
-vertical lines. In \CMD{Set} only the first one gets the same size as the
-braces\index{Braces} and in \CMD{Braket} all.
+The difference between the \CIndex{Set} and the \CIndex{Braket} macro is the handling of the
+vertical lines. In \CIndex{Set} only the first one gets the same size as the
+braces\index{Braces} and in \CIndex{Braket} all.
\[ \Braket{ \phi | \frac{\partial^2}{\partial t^2} | \psi }\]
\[ \Set{ \phi | \frac{\partial^2}{\partial t^2} | \psi }\]
@@ -5598,17 +5678,21 @@ braces\index{Braces} and in \CMD{Braket} all.
\CMD{Bra} and \CMD{Ket} do nothing with the inner vertical lines.
-\section{\texttt{cancel}}\label{cancel.sty}
-This is a nice package for canceling anything in mathmode with a slash, backslash or a \verb+X+. To get
-a horizontal line we can define an additional macro called \verb+hcancel+ with an optional argument
-for the line color (requires package \verb+color+):
+\subsection{\texttt{cancel}}\label{cancel.sty}
+This is a nice package for canceling anything in mathmode with a slash,
+backslash or a \verb+X+. To get
+a horizontal line we can define an additional macro called \CIndex{hcancel}
+with an optional argument
+for the line color (requires package \PIndex{color}):
+%
\begin{lstlisting}
\newcommand\hcancel[2][black]{\setbox0=\hbox{#2}%
\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2}
\end{lstlisting}
-It is no problem to redefine the \verb+cancel+ macros to get also colored lines. A horizontal line for
-single characters is also decribed in section \vref{sec:Accents}.
+It is no problem to redefine the \CIndex{cancel} macros to get also colored lines.
+A horizontal line for
+single characters is also decribed in section~\vref{sec:Accents}.
\medskip
\noindent
@@ -5626,9 +5710,9 @@ $\hcancel{3}\qquad\hcancel[red]{1234567}$
\end{lstlisting}
-\section{\texttt{delarray}}\label{delarray}
+\subsection{\texttt{delarray}}\label{delarray}
-Package \texttt{delarray.sty}%
+Package \PIndex{delarray}%
\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/required/tools/delarray.dtx}{CTAN://macros/latex/required/tools/delarray.dtx}%
} supports different delimiters which are defined together with the
beginning of an array:
@@ -5639,7 +5723,7 @@ beginning of an array:
\end{lstlisting}
\noindent defines an array with two centered columns and the delimiters\\
-``\texttt{<delLeft><delRight>}{}'', e.g. ``\texttt{()}{}''.
+``\texttt{<delLeft><delRight>}{}'', \eg ``\texttt{()}{}''.
\medskip{}
\begin{minipage}[c]{0.45\textwidth}%
@@ -5664,9 +5748,9 @@ c & d
\medskip{}
-\verb|delarray.sty| expects a pair of delimiters. If you need only
+The \PIndex{delarray} package expects a pair of delimiters. If you need only
one (like the cases structure) then use the dot for an ``empty''
-delimiter, e.g.
+delimiter, \eg
\medskip{}
\begin{minipage}[c]{0.45\textwidth}%
@@ -5689,17 +5773,18 @@ c & d
\medskip{}
-\noindent which is a useful command for a cases structure without the \AmSmath package, which is described in the \AmSmath part.
+\noindent which is a useful command for a cases structure without the \AmSmath
+package, which is described in the \AmSmath part.
-\section{\texttt{empheq}}\label{sec:empheq}
+\subsection{\texttt{empheq}}\label{sec:empheq}
This package supports different frames for math environments of the \AmSmath
package. It doesn't support all the environments from standard \LaTeX{} which %%% ----- Martin -----
-are not modified by \AmSmath, e.g. \verb|eqnarray|.
+are not modified by \AmSmath, \eg \UIndex{eqnarray}.
-With the optional argument of the environment \verb|empheq| the preferred box type
-can be specified. A simple one is \verb|\fbox|
+With the optional argument of the \UIndex{empheq} the preferred box type
+can be specified. A simple one is \CIndex{fbox}
\begin{empheq}[box=\fbox]{align}
f(x)=\int_1^{\infty}\frac{1}{x^2}\,dt=1
@@ -5723,7 +5808,7 @@ The same is possible with the macro \verb|\colorbox|:
\end{lstlisting}
The key \verb|box| can hold any possible \LaTeX{} command sequence. Boxing
-subequations is also no problem, the \verb|empheq| environment works in the same way:
+subequations is also no problem, the \UIndex{empheq} works in the same way:
\begin{subequations}
\begin{empheq}[box={\fboxsep=10pt\colorbox{cyan}}]{align}
@@ -5741,12 +5826,12 @@ subequations is also no problem, the \verb|empheq| environment works in the same
\end{subequations}
\end{lstlisting}
-For more information on \verb|empheq| have a look at the documentation of the package
+For more information on \PIndex{empheq} package have a look at the documentation of the package
which is available at any CTAN server.
-\section{\texttt{esint}}\label{sec:esint}
+\subsection{\texttt{esint}}\label{sec:esint}
This is a very useful package when you want nice double or triple integral or curve
-integral symbols. The ones from \verb|wasysym|%
+integral symbols. The ones from the \PIndex{wasysym} package%
\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/contrib/wasysym/}%
{CTAN://macros/latex/contrib/wasysym/}} are not the best.
\verb|esint|\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/contrib/esint/}%
@@ -5775,7 +5860,7 @@ integral symbols. The ones from \verb|wasysym|%
\end{align}
-\section{\texttt{eucal} and \texttt{euscript.sty}}\label{sec:euscript.sty}
+\subsection{\texttt{eucal} and \texttt{euscript}}\label{sec:euscript.sty}
These packages should be part of your local \TeX{} installation, because
they come with the \AmSmath packages. Otherwise get them from CTAN%
@@ -5791,10 +5876,10 @@ letters:
Read the documentation for the interdependence to the %%% ----- Martin -----
\verb|\mathcal| command. For the above example the
-package \verb|eucal.sty| was loaded with the option \verb|mathscr|.
+package \PIndex{eucal} was loaded with the option \verb|mathscr|.
-\section{\texttt{exscale}}\label{sec:exscale}
+\subsection{\texttt{exscale}}\label{sec:exscale}
The following formula is written with the default fontsize where everything
looks more or less well:
@@ -5804,9 +5889,9 @@ looks more or less well:
dx\approx\frac{\pi}{n}\sum_{i=1}^{n}f\left(\cos\left(\frac{2i-1}{2n}\right)\right)\]
-Writing the same with the fontsize \texttt{\textbackslash{}huge} gives
+Writing the same with the fontsize \CIndex{huge} gives
a surprising result, which belongs to the historical development of
-\LaTeX{}, the int\index{int@\textbackslash int} and sum\index{sum@\textbackslash sum} symbols
+\LaTeX{}, the \CIndex{int} and \CIndex{sum} symbols
are not stretched. This extreme fontsize is often needed for slides
and not only written ``just for fun{}''.
@@ -5814,7 +5899,7 @@ and not only written ``just for fun{}''.
\includegraphics{exscale}
\end{center}
-Using the \texttt{exscale.sty}%
+Using the \PIndex{exscale} package%
\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/base/}%
{CTAN://macros/latex/base/}} package, which should be part of any local \TeX{}
installation, all symbols get the right size.
@@ -5825,13 +5910,13 @@ installation, all symbols get the right size.
\sum_{i=1}^{n}f\left(\cos\left(\frac{2i-1}{2n}\right)\right)\]
\end{minipage}%
-\section{\texttt{mathtools}}\label{sec:mathtools}
-This package comes with a lot of additional features for setting math code.
+\subsection{\texttt{mathtools}}\label{sec:mathtools}
+This package comes with a lot of additional features for typesetting math code.
Sometimes it is useful when only such equations are numbered which are
referenced in the text. This is possible with the switch \verb+\showonlyrefs+.
Matrices are set by default with a centered horizontal alignment, which is
-often not the best way. \verb+mathtools+ provides a starred version of
+often not the best way. The \PIndex{mathtools} package provides a starred version of
the matrix environments which allow an optional argument for the horizontal
alignment:
@@ -5855,17 +5940,48 @@ alignment:
\]
\end{lstlisting}
-\verb+mathtools+ also provides a also some more environments for setting equations.
+\PIndex{mathtools} also provides some more environments for setting equations.
+Very interesting is the \UIndex{lgathered}, which allows to typeset a formula in
+the following way:
+
+\begin{LTXexample}[width=0.6\linewidth]
+\begin{align}
+ x &=
+ \begin{lgathered}[t]
+ a + b + c \\
+ d + e +
+ \!\begin{gathered}[t]
+ f + g + h \\
+ i + j + k
+ \end{gathered}
+ \end{lgathered}
+\end{align}
+\end{LTXexample}
+
+The \CMD{!}\index{*@\textbackslash\char033} revokes the internal horizontal space
+in front of the \UIndex{gathered}.
+
+
+\subsection{\texttt{nicefrac}}\label{sec:nicefrac}
+Typesetting fractions\index{Fraction} in the inline mode is often a bad choice, the vertical spacing
+increases in fact of the fraction. The \PIndex{nicefrac} package defines the macro
+\CIndex{nicefrac}, which is used in the same way as the \CIndex{frac} command, but it
+typesets the fraction with a less height: \nicefrac{2}{3} \lstinline|\nicefrac{2}{3}|.
+The package is part of the \PIndex{units} package bundle and can be found in the
+directory of \PIndex{units}.
-\section{\texttt{relsize}}\label{sec:relsize}
-Often consecutives math operators are used, like two sum symbols, e.g.:
+
+
+\subsection{\texttt{relsize}}\label{sec:relsize}
+Often consecutives math operators are used, like two sum symbols, \eg
+%
\[ \sum\sum_{i=1}^n i^2 \]
As seen the sums are of the same size. To increase the first operator size, someone
-can use the \verb+\scalebox+ macro from \verb+graphicx+ and write an own macro %%% ----- Martin -----
-\verb+\Sum+, e.g.:\index{Operator!size}\index{Size!Operator}
+can use the \CIndex{scalebox} macro from package \UIndex{graphicx} and write an own macro %%% ----- Martin -----
+\verb+\Sum+, \eg \index{Operator!size}\index{Size!Operator}
\begin{lstlisting}
\def\Sum{\ensuremath\mathop{\scalebox{1.2}{$\displaystyle\sum$}}}
@@ -5875,24 +5991,23 @@ can use the \verb+\scalebox+ macro from \verb+graphicx+ and write an own macro
\def\Sum{\ensuremath\mathop{\scalebox{1.2}{$\displaystyle\sum$}}}
\[ \Sum_{j=1}\sum_{i=1}^\infty i \]
-Another solution is to use the \verb+relsize+\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/ltxmisc/}%
-{CTAN://macros/latex/ltxmisc/}} package together with the \verb+exscale+
-one. \verb+relsize+ defines a useful macro \verb+mathlarger+:
+Another solution is to use the \PIndex{relsize} package%
+\footnote{\href{http://www.ctan.org/tex-archive/macros/latex/ltxmisc/}{CTAN://macros/latex/ltxmisc/}}
+together with the \PIndex{exscale} one. \PIndex{relsize} defines a useful macro \CIndex{mathlarger}:
-\begin{showexample}
+\begin{LTXexample}
\[ \mathlarger{\sum}\sum_{i=1}^n i^2 \]
-\end{showexample}
+\end{LTXexample}
-\section{\texttt{xypic}}\label{xypic.sty}
+\subsection{\texttt{xypic}}\label{xypic.sty}
-The \texttt{xymatrix}\index{xymatrix@\textbackslash xymatrix} macro is part of the
-\verb+xypic+ package%
+The \CIndex{xymatrix} macro is part of the \PIndex{xypic} package%
\footnote{\href{http://www.ctan.org/tex-archive/support/latex2html/}%
{CTAN://macros/generic/diagrams/xypic/xy-3.7/}} which can be loaded with several options
-which are not so important.%
-\footnote{For more information look at the style file \texttt{xy.sty}, which
-is often saved in \texttt{/usr/share/texmf/tex/generic}}.
+which are not so important here.%
+\footnote{For more information look at the package documentation or the
+package \PIndex{xy} itself, which is often saved in \texttt{/usr/share/texmf/tex/generic}}.
\begin{equation}
\xymatrix{A\POS[];[d]**\dir{~},[];[dr]**\dir{-} & B & C\\
@@ -5912,10 +6027,13 @@ This matrix was created with
\]
\end{lstlisting}
+
+
+
\part{Math fonts}
Typesetting text and math is far different. There exist a lot of free text fonts without
additional math characters. This is the reason why we have to buy a commercial math font, e.\,g.
-\Index{Palatino} (\verb+pamath+) or \Index{Helvetica} (\verb+hvmath+), or to
+\Index{Palatino} (\PIndex{pamath}) or \Index{Helvetica} (\PIndex{hvmath}), or to
combine the free text font with another free math font.
\section{Computer modern}
@@ -5925,17 +6043,17 @@ the Type 1 fonts cm-super and BlueSkye were used.
\Mbox{cm-crop}
\section{Latin modern}
-This is the new designed font which comes with an own Type 1 version.\index{lm}\index{Latin modern}
+This is the new designed font which comes with an own Type 1 version.\FIndex{lm}\index{Latin modern}
\Mbox{lm-crop}
\section{Palatino}
-There is a free package mathpazo.\index{mathpazo}\index{Palatino}
+There is a free package mathpazo.\PIndex{mathpazo}\index{Palatino}
\Mbox{pazo-crop}
\section{Palatino -- microimp}
-There is the package \verb+pamath+ for the nonfree palatino font.\index{mathpazo}\index{Palatino}
+There is the package \PIndex{pamath} for the nonfree palatino font.\PIndex{mathpazo}\index{Palatino}
\Mbox{pamath-crop}
@@ -5999,6 +6117,7 @@ Name & Symbol\\\hline
\end{tabular}
\end{center}
+%$
For all new integral symbols limits can be used in the usual way:
\begin{equation}
@@ -6090,6 +6209,7 @@ The following code defines several harpoon symbols.%
\verb|\xrightleftharpoons[under]{over}|& $\xrightleftharpoons[under]{over}$
\end{tabular}
+%$
\section{Bijective mapping arrow}
@@ -6102,12 +6222,12 @@ To get something like \bijmap~we can define:
}
\end{lstlisting}
-This uses the \verb+\mathrlap+ definition from section~\vref{subsec:ams-limits}. With this
+This uses the \CIndex{mathrlap} definition from section~\vref{subsec:ams-limits}. With this
definition a huge symbol is also possible: \verb+{\Huge\bijmap}+ {\Huge\bijmap}.
\section{Stacked equal sign}
-There are several symbols stacked with an equal sign, e.g. \verb+\doteq+, \verb+\equiv+ or
-\verb+\cong+ ($\doteq$, $\equiv{}$, $\cong$ ). But there are still some missing, which are
+There are several symbols stacked with an equal sign, \eg \CIndex{doteq}, \CIndex{equiv} or
+\CIndex{cong} ($\doteq$, $\equiv{}$, $\cong$ ). But there are still some missing, which are
shown in table~\ref{tab:equal} and the following definitions.
\begin{table}[htb]
@@ -6206,6 +6326,10 @@ X_z & Y_z & Z_z & T_z \\
\end{tabular}
\end{LTXexample}
+%$
+
+
+
\section{Cases structure}
@@ -6315,7 +6439,7 @@ use the \verb+tabular+, the \verb+tabularx+ and the \verb+array+ environment.
\]
\end{lstlisting}
-
+%$
\section{Arrays}
@@ -6595,6 +6719,48 @@ shows how one can put \index{color}colors in rows, columns and cells.
\end{lstlisting}
+\subsection{Boxed rows and columns}
+
+\begin{LTXexample}[width=0.35\linewidth]
+\[
+\overrightarrow{A}=\left[
+ \begin{array}{cccc}
+ 1 & 2 & 3 & 4\\
+ 1 & 2 & 3 & 4\\\hline
+ \multicolumn{1}{|c}{1} & 2 & 3 &
+ \multicolumn{1}{c|}{4}\\\hline
+ 1 & 2 & 3 & 4
+ \end{array}\right]
+\]
+\end{LTXexample}
+
+
+\begin{LTXexample}[width=0.35\linewidth]
+\[
+\overrightarrow{A}=\left[
+ \begin{array}{cc|c|c}\cline{3-3}
+ 1 & 2 & 3 & 4\\
+ 1 & 2 & 3 & 4\\
+ 1 & 2 & 3 & 4\\
+ 1 & 2 & 3 & 4\\\cline{3-3}
+ \end{array}\right]
+\]
+\end{LTXexample}
+
+\begin{LTXexample}[width=0.35\linewidth]
+\[
+\overrightarrow{A}=\left[
+ \begin{array}{cc|c|c}\cline{3-3}
+ 1 & 2 & 3 & 4\\
+ 1 & 2 & 3 & 4\\\hline
+ \multicolumn{1}{|c}{1} & 2 & 3 &
+ \multicolumn{1}{c|}{4}\\\hline
+ 1 & 2 & 3 & 4\\\cline{3-3}
+ \end{array}\right]
+\]
+\end{LTXexample}
+
+
\section{Over- and underbraces}
\subsection{Braces and roots}
@@ -6666,7 +6832,7 @@ y\textcolor{blue}{-\frac{31}{8}}
\subsection[Vertical alignment]{Vertical alignment of different braces}
When having several braces in one formula line, then it looks better when all
-braces are also on the same line, e.g.:
+braces are also on the same line, \eg
\begin{equation}
\binom{x_R}{y_R} = \underbrace{r\vphantom{\binom{A}{B}}}_{\text{Scaling}}\cdot%
@@ -6852,14 +7018,14 @@ Sometimes it may be useful to have a vertical alignment over the whole page with
formulas and text. Section \ref{sec:Text-in-math mode} shows the use of \CMD{intertext}.
There is another trick to get all formulas vertical aligned. Let's have the following
formulas distributed over the whole page:
-
+%
\begin{align*}
f(x) &= a\\
g(x) &= x2-4x\\
f(x)-g(x) &= x2+x3+x\\
g &= x2+x3+x4+x5+b
\end{align*}
-
+%
They all have a different length of the left and right side. Now we want to write some
text and other objects between them, but let the alignment untouched. We choose the
longest left and the longest right side and take them for scaling with the \CMD{hphantom}
@@ -6872,79 +7038,77 @@ command:
This is the first (empty) line in every equation where now all other lines are aligned to
this one. For example:
+\bgroup
\medskip\noindent
\rule{\columnwidth}{1pt}
\newcommand{\x}{blah blah blah blah blah blah blah blah }
-\addtolength{\abovedisplayshortskip}{-1cm} % decrease the skip
-\addtolength{\abovedisplayskip}{-1cm}
-\x\x\x\x\x
+\addtolength\abovedisplayshortskip{-.5cm}% decrease the skip
+\addtolength\abovedisplayskip{-.5cm}
+\x\x\x
\begin{align}
\hphantom{\mbox{$f(x)-g(x)$}} & \hphantom{\mbox{$= x^2+x^3+x^4+x^5+b$}}\nonumber\\
f(x) &= a\\
g(x) &= x^2-4x
\end{align}
-
-\x\x\x\x\x
+%
+\x\x\x
\begin{align}
\hphantom{\mbox{$f(x)-g(x)$}} & \hphantom{\mbox{$= x^2+x^3+x^4+x^5+b$}}\nonumber\\
f(x)-g(x) &= x^2+x^3+x
\end{align}
-\x\x\x\x\x
-
+\x\x\x
+%
\begin{align}
\hphantom{\mbox{$f(x)-g(x)$}} & \hphantom{\mbox{$= x^2+x^3+x^4+x^5+b$}}\nonumber\\
g(x) &= x^2+x^3+x^4+x^5+b
\end{align}
-\x\x\x\x\x
-% restore old values
-\addtolength{\abovedisplayshortskip}{1cm}
-\addtolength{\abovedisplayskip}{1cm}
+\x\x\x
\noindent
\rule{\columnwidth}{1pt}
+\egroup
\medskip
The phantom line is empty but leaves the vertical space for a line. This could be
-corrected with decreasing the \CMD{abovedisplayshortskip} length and restoring them
-after the whole sequence of commands. The code of the above looks like:
+corrected with decreasing the \CMD{abovedisplayshortskip} length and done all
+inside a group.
\begin{lstlisting}
\newcommand{\x}{blah blah blah blah blah blah blah blah }
-\addtolength{\abovedisplayshortskip}{-1cm} % decrease the skip
-\addtolength{\abovedisplayskip}{-1cm}
-\x\x\x\x\x
+\bgroup
+\addtolength\abovedisplayshortskip{-0.5cm}% decrease the skip
+\addtolength\abovedisplayskip{-0.5cm}
+\x\x\x
\begin{align}
\hphantom{\mbox{$f(x)-g(x)$}} & \hphantom{\mbox{$= x^2+x^3+x^4+x^5+b$}}\nonumber\\
f(x) &= a\\
g(x) &= x^2-4x
\end{align}
-
-\x\x\x\x\x
+%
+\x\x\x
\begin{align}
\hphantom{\mbox{$f(x)-g(x)$}} & \hphantom{\mbox{$= x^2+x^3+x^4+x^5+b$}}\nonumber\\
f(x)-g(x) &= x^2+x^3+x
\end{align}
-\x\x\x\x\x
-
+\x\x\x
+%
\begin{align}
\hphantom{\mbox{$f(x)-g(x)$}} & \hphantom{\mbox{$= x^2+x^3+x^4+x^5+b$}}\nonumber\\
g(x) &= x^2+x^3+x^4+x^5+b
\end{align}
-\x\x\x\x\x
-% restore old values
-\addtolength{\abovedisplayshortskip}{1cm}
-\addtolength{\abovedisplayskip}{1cm}
+\x\x\x
+\egroup
\end{lstlisting}
Another case of aligning equations inside an itemize environment is the following one.
-With the \verb+\makebox+ macro one can have the same size on the left side of the
+With the \CIndex{makebox} macro one can have the same size on the left side of the
equal sign to get a vertical alignment.
\newsavebox\lW
-\sbox\lW{$P_{3}+P_{2}-P_{1}$}% $
+\sbox\lW{$P_{3}+P_{2}-P_{1}$}% $
\begin{itemize}
\item first function \\
@@ -6975,12 +7139,11 @@ equal sign to get a vertical alignment.
\subsection{Example 2}
%--------------------------------------------------------------------------
This one comes from Hartmut Henkel and offers a special form of placing
-additional text between the equation and the equationnumber. This makes only
+additional text between the equation and the \Index{equation number}. This makes only
sense when you load the documentclass with the option \verb+fleqn+. The example
places the additional text at \verb+0.5\textwidth+, changing this value is no
problem.
-\clearpage
\medskip
\noindent\rule{\linewidth}{1pt}
\begingroup
@@ -7045,12 +7208,12 @@ This solution works only with \AmSmath{}, without you have to redefine the
\LaTeX{} macro, which creates the equation number.
\begin{lstlisting}
-\newsavebox{\myendhook} % hier gehen die Tabellen rein
+\newsavebox{\myendhook} % for the tabulars
\def\tagform@#1{{(\maketag@@@{\ignorespaces#1\unskip\@@italiccorr)}
- \makebox[0pt][r]{% hinter der Zeilennummer aufgehaengt
+ \makebox[0pt][r]{% after the equation number
\makebox[0.4\textwidth][l]{\usebox{\myendhook}}%
}%
- \global\sbox{\myendhook}{}% Box wird geleert
+ \global\sbox{\myendhook}{}% clear box content
}}
[ ... ]
@@ -7090,7 +7253,7 @@ z = 9
\section{Node connections}
%------------------------------------------------------------------------------
This is a typical application for PSTricks and it needs the package \verb+pst-node+
-and doesn't work with \verb+pdflatex+. Use \verb+VTeX+, \verb+ps4pdf+ or \verb+ps2pdf+.
+and doesn't work with \verb+pdflatex+. Use \verb+vlatex+, \verb+ps4pdf+ or \verb+ps2pdf+.
\medskip
\noindent\fbox{\includegraphics[width=\linewidth]{node}}
@@ -7173,9 +7336,6 @@ E =
\section[Special Placement]{Special placement of displayed equations}
%-----------------------------------------------------------------------------
-
-
-
%-----------------------------------------------------------------------------
\subsection{Formulas side by side}\label{sec:sidebyside}
%-----------------------------------------------------------------------------
@@ -7260,10 +7420,10 @@ To define all these macros write into the preamble:
As seen in equation~\ref{blub} and equation~\ref{blah}, everything is
-nonsense ... And the following tabular is defined as a longtable to enable pagebreaks.
+nonsense ... And the following tabular is defined as a \Index{longtable} to enable pagebreaks.
-\vspace*{10cm}
+%\vspace*{10cm}
%\begin{framed}
\begin{mtabular}[long]{*{2}{m{0.35\linewidth}m{0.15\linewidth}}}
\begin{align*} \oint E ds=0 \end{align*} & \eqnCnt %
diff --git a/Master/texmf-doc/doc/english/mathmode/pstricks-add.tex b/Master/texmf-doc/doc/english/mathmode/pstricks-add.tex
deleted file mode 100755
index 01b77c4a427..00000000000
--- a/Master/texmf-doc/doc/english/mathmode/pstricks-add.tex
+++ /dev/null
@@ -1,3004 +0,0 @@
-%%
-%% This is file `pstricks-add.tex',
-%%
-%% IMPORTANT NOTICE:
-%%
-%% Package `pstricks-add.tex'
-%%
-%% Dominique Rodriguez <Dominique.Rodriguez _at_ waika9.fr>
-%% Herbert Voss <Herbert.Voss _at_ pstricks.de>
-%%
-%% This program can be redistributed and/or modified under the terms
-%% of the LaTeX Project Public License Distributed from CTAN archives
-%% in directory macros/latex/base/lppl.txt.
-%%
-%% DESCRIPTION:
-%% `pstricks-add' is a PSTricks package for additionals to the standard
-%% pstricks package
-%%
-\csname PSTricksAddLoaded\endcsname
-\let\PSTricksAddLoaded\endinput
-%
-% Requires some packages
-\ifx\PSTricksLoaded\endinput\else\input pstricks \fi
-\ifx\PSTplotLoaded\endinput\else \input pst-plot \fi
-\ifx\PSTnodesLoaded\endinput\else\input pst-node \fi
-\ifx\MultidoLoaded\endinput\else \input multido \fi
-\ifx\PSTXKeyLoaded\endinput\else \input pst-xkey \fi
-%
-\def\fileversion{2.80}
-\def\filedate{2006/09/25}
-\message{`pstricks-add' v\fileversion, \filedate\space (dr,hv)}
-%
-\edef\PstAtCode{\the\catcode`\@} \catcode`\@=11\relax
-\SpecialCoor
-\pst@addfams{pstricksadd}
-%
-%% prologue for postcript
-\pstheader{pstricks-add.pro}%
-%\pstheader{shfill_emulate.pro}%
-%
-%-------------------------------- pstricks ------------------------------------
-%
-%%%%%%% \begin{pspicture} %%%%%%%%%%%%%%%%%%%
-\newdimen\pst@dimm%
-\newdimen\pst@dimn%
-\newdimen\pst@dimo%
-\newdimen\pst@dimp%
-\newcount\pst@cntm%
-\newcount\pst@cntn%
-\newcount\pst@cnto%
-\newcount\pst@cntp%
-%\psset{dx=0}%
-%\psset{dy=0}%
-\newcount\@zero\@zero=0\relax
-%
-\def\psPiFour{12.566371}
-\def\psPiTwo{6.283185}
-\def\psPi{3.14159265}
-\def\psPiH{1.570796327}
-\newdimen\pstRadUnit
-\newdimen\pstRadUnitInv
-\pstRadUnit=1.047198cm % this is pi/3
-\pstRadUnitInv=0.95493cm % this is 3/pi
-%
-\def\pst@getdimdim#1 #2 #3\@nil{%
- \def\pst@tempA{#2}%
- \ifx\pst@tempA\@empty
- \pssetlength\pst@dimn{#1}%
- \pst@dimm=\z@%
- \else%
- \pssetlength\pst@dimm{#1}%
- \pssetlength\pst@dimn{#2}%
- \fi%
-}
-\def\pst@getxdimdim#1 #2 #3\@nil{%
- \def\pst@tempA{#2}%
- \ifx\pst@tempA\@empty
- \pssetxlength\pst@dimn{#1}%
- \pst@dimm=\z@
- \else%
- \pssetxlength\pst@dimm{#1}%
- \pssetxlength\pst@dimn{#2}%
- \fi%
-}
-\def\pst@getydimdim#1 #2 #3\@nil{%
- \def\pst@tempA{#2}
- \ifx\pst@tempA\@empty
- \pssetylength\pst@dimn{#1}
- \pst@dimm=\z@
- \else
- \pssetylength\pst@dimm{#1}%
- \pssetylength\pst@dimn{#2}%
- \fi%
-}
-%
-% stolen from latex.ltx to make it TeX compatible
-%
-\def\@fornoop#1\@@#2#3{}
-\long\def\@for#1:=#2\do#3{%
- \expandafter\def\expandafter\@fortmp\expandafter{#2}%
- \ifx\@fortmp\@empty \else
- \expandafter\@forloop#2,\@nil,\@nil\@@#1{#3}\fi}
-\long\def\@forloop#1,#2,#3\@@#4#5{\def#4{#1}\ifx #4\@nnil \else
- #5\def#4{#2}\ifx #4\@nnil \else#5\@iforloop #3\@@#4{#5}\fi\fi}
-\long\def\@iforloop#1,#2\@@#3#4{\def#3{#1}\ifx #3\@nnil
- \expandafter\@fornoop \else
- #4\relax\expandafter\@iforloop\fi#2\@@#3{#4}}
-\def\psforeach#1#2#3{%
- \begingroup
- \edef\reserved@a{#2}%
- \@for#1:=\reserved@a\do{#3}%
- \endgroup
-}
-%
-% A modulo macro for integer values
-% \pst@mod{34}{6}\value ==> \value is 4
-%
-\def\pst@mod#1#2#3{%
- \begingroup%
- \pst@cntm=#1\pst@cntn=#2\relax%
- \pst@cnto=\pst@cntm%
- \divide\pst@cntm by \pst@cntn%
- \multiply\pst@cntn by \pst@cntm%
- \advance\pst@cnto by -\pst@cntn%
- \edef\value{\endgroup\def\noexpand#3{\number\pst@cnto}}\value%
-}
-\def\pst@max#1#2#3{%
- \begingroup%
- \pst@cntm=#1\pst@cntn=#2\relax%
- \ifnum\pst@cntm<\pst@cntn\pst@cntm=\pst@cntn\fi
- \global#3=\the\pst@cntm%
- \endgroup%
-}
-\def\pst@maxdim#1#2#3{%
- \begingroup%
- \pst@dimm=#1\pst@dimn=#2\relax%
- \ifdim\pst@dimm<\pst@dimn\pst@dimm=\pst@dimn\fi
- \global#3=\the\pst@dimm%
- \endgroup%
-}
-\def\pst@abs#1#2{%
- \begingroup%
- \pst@cntm=#1\relax%
- \ifnum\pst@cntm<\z@\pst@cntm=-\pst@cntm\fi%
- \global#2=\the\pst@cntm
- \endgroup%
-}
-\def\pst@absdim#1#2{%
- \begingroup%
- \pst@dimm=#1\relax%
- \ifdim\pst@dimm<\z@\pst@dimm=-\pst@dimm\fi%
- \global#2=\the\pst@dimm%
- \endgroup%
-}
-%
-%--------------------------------------- small stuff -------------------------------
-% transalpha needs a run through latex -> dvips -> ps2pdf14(!)
-% and view with Acrobat >= 5.0
-% use transpalpha=<mumber> to the the opacity level
-%
-\define@key[psset]{pstricksadd}{transpalpha}{\pst@checknum{#1}\pstranspalpha }
-%\psset[pstricksadd]{transpalpha=1}
-\def\psfs@transparent{%
- \addto@pscode{/Normal .setblendmode \pstranspalpha .setshapealpha }%
- \psfs@solid}
-%
-\def\defineTColor{\@ifnextchar[{\defineTColor@i}{\defineTColor@i[]}}
-\def\defineTColor@i[#1]#2#3{% "semi transparency colors"
- \def\pst@tempA{#1}%
- \newpsstyle{#2}{%
- fillstyle=vlines,hatchwidth=0.1\pslinewidth,
- hatchsep=1\pslinewidth,hatchcolor=#3}%
- \ifx\pst@tempA\@empty\else\psset{#1}\fi%
-}
-\defineTColor{TRed}{red}
-\defineTColor{TGreen}{green}
-\defineTColor{TBlue}{blue}
-%
-\def\rmultiput{\def\pst@par{}\pst@ifstar{\@ifnextchar[{\rmultiput@i}{\rmultiput@i[]}}}
-\def\rmultiput@i[#1]{\begingroup\psset{#1}\rmultiput@ii}
-\def\rmultiput@ii#1{\def\@rmultiputArg{#1}%
- \@ifnextchar({\rmultiput@iii}{\rmultiput@iii(\z@,\z@)}}
-\def\rmultiput@iii(#1){%
- \pst@killglue%
- \if@star\rput*(#1){\@rmultiputArg}
- \else\rput(#1){\@rmultiputArg}%
- \fi
- \@ifnextchar({\rmultiput@iii}{\endgroup}%
-}
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%% \psrotation(x,y){a}{objet} %%%
-%%% construit l'image de <objet> %%%
-%%% par la rotation de centre (x,y) %%%
-%%% et d'angle a. %%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\def\psrotate{\pst@object{psrotate}} % idea from Jean-Ce Charpentier
-\def\psrotate@i(#1,#2)#3#4{%
- \pst@killglue
- \begin@SpecialObj%
- \addto@pscode{%
- #1 \pst@number\psxunit mul #2 \pst@number\psyunit mul translate
- #3 rotate -1 -1 scale
- #1 \pst@number\psxunit mul #2 \pst@number\psyunit mul translate
- -1 -1 scale
- }%
- #4%
- \end@SpecialObj%
-}
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Begin patch TN; Date (YY-MM-DD): 04-07-17; first part
-\define@key[psset]{}{dash}{% defined in pstricks.tex
- \pst@expandafter\psset@@dash{#1}\@nil% Error handling for empty argument.
-}
-\define@key[psset]{pstricksadd}{maxdashes}{\def\psk@maxdashes{#1}}
-%\psset{maxdashes=11}
-\def\psset@@dash#1\@nil{%
- \def\psk@dash{}%
- % modification 04-08-07:
- \pst@cntm0
- \def\next##1 ##2\relax{%
- \expandafter\ifnum\psk@maxdashes>\pst@cntm\relax% 04-08-07
- \edef\@tempa{##1}%
- \ifx\@tempa\@empty\else% gobble leading spaces
- \pssetlength\pst@dimc{##1}%
- \advance\pst@cntm by 1
- \edef\psk@dash{\psk@dash\space\pst@number\pst@dimc}%
- \fi%
- \edef\@tempa{##2}%
- \ifx\@tempa\@empty\else% detect end
- \ifx\@tempa\space\else% gobble trailing spaces
- \next##2\relax%
- \fi\fi%
- \else% 04-08-07
- \@pstrickserr{Number of dashes > \psk@maxdashes. Increasing
- 'maxdashes' might work.}\@ehpa% 04-08-07
- \fi% 04-08-07
- }%
-\expandafter\next#1 \relax}
-%% End patch TN; Date (YY-MM-DD): 04-07-17; 1st part
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-%\psset{dash=5pt 3pt}% black white black white
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%% Begin patch TN; Date (YY-MM-DD): 04-07-17; 2nd part
-\def\psls@dashed{%
- \ifpsdashadjust
- [ \psk@dash ] \pst@linetype\space \tx@DashLine
- \else
- [ \psk@dash ] 0 setdash stroke
- \fi}
-%% End patch TN; Date (YY-MM-DD): 04-07-17; 2nd part
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%-----------------------------------------------------------------------------------
-\pst@def{DashLine}<
- dup 0 gt
- { /a .5 def PathLength exch div }
- { pop /a 1 def PathLength } ifelse
- /b ED % pattern should fit evenly in b
- dup /X ED % pattern array
- 0 get /y ED % length of first black segment
- /z 0 X {add} forall def % length of the full pattern
- %% Computation of the scaling factor as described by van Zandt:
- b a .5 sub 2 mul y mul sub z Div round
- z mul a .5 sub 2 mul y mul add b exch Div
- %%%% scaling factor on stack.
- /z ED %% now, z is the scaling factor
- false % for the length test below
- X { z mul } forall X astore %% modification TN 04-08-07
- %%% Checking whether at least one dash in X has positive length:
- {0 gt or} forall
- { X 1 a sub y mul }
- { [ 1 0 ] 0 }
- ifelse
- setdash stroke >
-%% TN end patch; Date (YY-MM-DD): 04-07-17;
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-%
-\define@key[psset]{pstricksadd}{intSeparator}{\def\psk@intSeparator{#1}}
-%\psset{intSeparator={,}}
-%
-\def\psFormatInt{\def\pst@par{}\pst@object{psFormatInt}}
-\def\psFormatInt@i#1{{%
- \pst@killglue
- \use@par
- \count1=#1\count2=\count1
- \ifnum\count1=0 0\else
- \ifnum\count1>999999
- \count3=\count1
- \divide\count3 by 1000000
- \the\count3\psk@intSeparator\relax
- \multiply\count3 by 1000000
- \advance\count1 by -\count3 % modulo 1000000
- \fi%
- \ifnum\count2>999
- \count3=\count1
- \divide\count3 by 1000
- \ifnum\count2>99999
- \ifnum\count3<100 0\fi
- \ifnum\count3<10 0\fi
- \fi%
- \the\count3\psk@intSeparator\relax
- \multiply\count3 by 1000
- \advance\count1 by -\count3 %modulo 1000
- \fi%
- \ifnum\count2>999
- \ifnum\count1<100 0\fi
- \ifnum\count1<10 0\fi
- \fi%
- \the\count1
- \fi%
-}\ignorespaces}
-%
-\newdimen\pst@braceWidth
-\define@key[psset]{pstricksadd}{braceWidth}{\pssetlength\pst@braceWidth{#1}}
-\define@key[psset]{pstricksadd}{bracePos}{\def\psk@bracePos{#1}}
-%\psset{braceWidth=10pt,bracePos=0.5}
-%
-\def\@@rput@iv(#1){\pst@killglue\pst@makebox{\@@rput@v{#1}}}
-\def\@@rput@v#1{%
- \begingroup
- \use@par
- \pst@makesmall\pst@hbox
- \pst@Verb{%
- Alpha 90 sub \pst@number\pst@braceWidth 0 lt {180 add} if
- \ifx\psk@rot\@empty\else\psk@rot add \fi
- /rotAngle exch def
- }%
- \setbox\pst@hbox=\hbox{%
- \pst@Verb{rotAngle \tx@RotBegin}%
- \box\pst@hbox\pst@Verb{\tx@RotEnd}%
- }%
- \psput@{#1}\pst@hbox
- \endgroup
- \ignorespaces%
-}
-%
-\def\psbrace{\pst@object{psbrace}}
-\def\psbrace@i(#1)(#2)#3{%
- \addbefore@par{ArrowInside=-,linearc=2mm,linewidth=1pt,%
- nodesepA=0pt,nodesepB=0pt,bracePos=0.5}% the default
- \begin@SpecialObj
- \use@par%
- \pst@getcoor{#1}\pst@tempA%
- \pst@getcoor{#2}\pst@tempB%
- \pnode(!%
- /bW2 \pst@number\pst@braceWidth \pst@number\psyunit div 2.0 div def
- \pst@tempA /YA exch \pst@number\psyunit div def
- /XA exch \pst@number\psxunit div def
- \pst@tempB /YB exch \pst@number\psyunit div def
- /XB exch \pst@number\psxunit div def
- /Alpha YB YA sub XB XA sub atan def
- /xMid XB XA sub \psk@bracePos\space mul XA add def
- /yMid YB YA sub \psk@bracePos\space mul YA add def
- /@deltaX Alpha sin bW2 mul def
- /@deltaY Alpha cos bW2 mul def
- /@xTemp xMid @deltaX 2 mul add def
- /@yTemp yMid @deltaY 2 mul sub def
- @xTemp @yTemp){@tempNode}%
- \pst@getcoor{@tempNode}\pst@tempC%
- \@@rput@iv(! %
- \pst@tempC /Yc exch def
- /Xc exch def
- Xc \psk@nodesepA\space add \pst@number\psxunit div
- Yc \psk@nodesepB\space add \pst@number\psyunit div ){#3}
- \psline(#1)%
- (! XA @deltaX add YA @deltaY sub)%
- (! @xTemp @deltaX sub @yTemp @deltaY add)(@tempNode)%
- \psline(@tempNode)%
- (! @xTemp @deltaX sub @yTemp @deltaY add)%
- (! XB @deltaX add YB @deltaY sub)(#2)%
- \end@SpecialObj
- \ignorespaces}
-%
-% -------------- the arrow part -------------
-% the original table
-% \def\pst@arrowtable{,<->,<<->>,>-<,>>-<<,(-),[-],)-(,]-[,|>-<|}
-%
-% HookLeft/RightArrow
-\newdimen\pshooklength
-\newdimen\pshookwidth
-\define@key[psset]{pstricksadd}{hooklength}{\pssetlength\pshooklength{#1}}
-\define@key[psset]{pstricksadd}{hookwidth}{\pssetlength\pshookwidth{#1}}
-%\psset{hooklength=3mm,hookwidth=1mm}
-%
-\edef\pst@arrowtable{\pst@arrowtable,H-H,h-h} % add new arrow
-\def\tx@RHook{RHook } % PostScript name
-\def\tx@Rhook{Rhook } % PostScript name
-\@namedef{psas@H}{%
- /RHook {
- /x ED % hook width
- /y ED % hook length
- /z CLW 2 div def % save it
- x y moveto % goto first point
- x 0 0 0 0 y
- curveto % draw Bezier
- stroke
- 0 y moveto % define current point
- } def
- \pst@number\pshooklength
- \pst@number\pshookwidth
- \tx@RHook
-}
-\@namedef{psas@h}{%
- /Rhook {
- CLW mul % size * CLW
- add dup % +length size*CLW+length size*CLW+length
- 2 div /w ED % (size*CLW+length)/2 -> w
- mul dup /h ED mul % (size*CLW+length)
- /a ED
- w neg h abs moveto 0 0 L
- gsave
- stroke grestore
- } def
- 0 \psk@arrowlength \psk@arrowsize \tx@Rhook
-}
-% New parameter "arrowfill", with default as "true"
-\define@boolkey[psset]{pstricksadd}[ps]{ArrowFill}[true]{}
-%
-% Modification of the PostScript macro Arrow to choose to fill or not the arrow
-% (it require to restore the current linewidth, despite of the scaling)
-\pst@def{Arrow}<{%
- CLW mul add dup 2 div
- /w ED mul dup
- /h ED mul
- /a ED { 0 h T 1 -1 scale } if
- gsave
- \ifpsArrowFill\else\pst@number\pslinewidth \pst@arrowscale\space div SLW \fi
- w neg h moveto
- 0 0 L w h L w neg a neg rlineto
- \ifpsArrowFill gsave fill grestore \else gsave closepath stroke grestore \fi
- grestore
- 0 h a sub moveto
-}>
-%
-\define@key[psset]{pstricksadd}{nArrowsA}{\def\psk@nArrowsA{#1}}
-\define@key[psset]{pstricksadd}{nArrowsB}{\def\psk@nArrowsB{#1}}
-\define@key[psset]{pstricksadd}{nArrows}{\def\psk@nArrowsA{#1}\def\psk@nArrowsB{#1}}
-%\psset{nArrows=2}
-%
-\@namedef{psas@>>}{%
- \psk@nArrowsA\space 1 sub {
- false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow
- 0 h a sub T
- } repeat
- gsave
- newpath
- false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow
- CP
- grestore
- moveto
-}
-%
-\@namedef{psas@<<}{%
- true \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow
- 0 h neg a add T
- \psk@nArrowsB\space 2 sub {
- false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow
- 0 h neg a add T
- } repeat
- false \psk@arrowinset \psk@arrowlength \psk@arrowsize \tx@Arrow
- 0 h a 5 mul 2 div sub moveto
-}
-%
-% DG addition begin - Dec. 18/19, 1997 and Oct. 11, 2002
-% Adapted from \psset@arrows
- \def\psk@ArrowInside{}
- \define@key[psset]{pstricksadd}{ArrowInside}{%
- \def\pst@tempA{#1}%
- \ifx\pst@tempA\@empty \def\psk@ArrowInside{} %
- \else%
- \begingroup%
- \pst@activearrows%
- \xdef\pst@tempg{<#1}%
- \endgroup%
- \expandafter\psset@@ArrowInside\pst@tempg\@empty-\@empty\@nil%
- \if@pst\else\@pstrickserr{Bad intermediate arrow specification: #1}\@ehpa\fi%
- \fi%
-}
-% Adapted from \psset@@arrows
-\def\psset@@ArrowInside#1-#2\@empty#3\@nil{%
- \@psttrue
- \def\next##1,#1-##2,##3\@nil{\def\pst@tempg{##2}}%
- \expandafter\next\pst@arrowtable,#1-#1,\@nil
- \@ifundefined{psas@#2}%
- {\@pstfalse\def\psk@ArrowInside{}}%
- {\def\psk@ArrowInside{#2}}%
-}
-% Default value empty
-%\psset{ArrowInside={}}
-% Modified version of \pst@addarrowdef
-\def\pst@addarrowdef{%
- \addto@pscode{%
- /ArrowA {
- \ifx\psk@arrowA\@empty
- \pst@oplineto
- \else
- \pst@arrowdef{A}
- moveto
- \fi
- } def
- /ArrowB {
- \ifx\psk@arrowB\@empty \else \pst@arrowdef{B} \fi
- } def
-% DG addition
- /ArrowInside {
- \ifx\psk@ArrowInside\@empty \else \pst@arrowdefA{Inside} \fi
- } def
- }%
-}
-% Adapted from \pst@arrowdef
-\def\pst@arrowdefA#1{%
- \ifnum\pst@repeatarrowsflag>\z@
- /Arrow#1c [ 6 2 roll ] cvx def Arrow#1c
- \fi
- \tx@BeginArrow
- \psk@arrowscale
- \@nameuse{psas@\@nameuse{psk@Arrow#1}}
- \tx@EndArrow%
-}
-% ArrowInsidePos parameter (default value 0.5)
-\define@key[psset]{pstricksadd}{ArrowInsidePos}{\pst@checknum{#1}\psk@ArrowInsidePos}%
-%\psset{ArrowInsidePos=0.5}
-%
-% Modified version of \begin@ClosedObj
-\def\begin@ClosedObj{%
- \leavevmode
- \pst@killglue
- \begingroup
- \use@par
- \solid@star
- \ifpsdoubleline \pst@setdoublesep \fi
- \pst@addarrowdef% DG addition
- \init@pscode%
-}
-%
-% Redefinition of the PostScript /Line macro to print the intermediate
-% arrow on each segment of the line
-%
-\define@key[psset]{pstricksadd}{ArrowInsideNo}{\pst@checknum{#1}\psk@ArrowInsideNo}% hv 20031001
-\define@key[psset]{pstricksadd}{ArrowInsideOffset}{\pst@checknum{#1}\psk@ArrowInsideOffset}% hv 20031001
-%\psset{ArrowInsideNo=1,ArrowInsideOffset=0}
-%
-\def\arrowType@H{H}
-\pst@def{Line}<{%
- NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if
- (\psk@ArrowInside) length 0 gt {
- \ifx\psk@arrowA\arrowType@H % do we have a Hook arrow at the beginning?
- \pst@number\pshooklength % yes
- \else
- \psk@arrowsize\space CLW mul add dup \psk@arrowlength\space mul exch \psk@arrowinset mul neg add
- \fi
- /arrowlength exch def
- 4 copy % copy all four values for the arrow line
- /y1 ED /x1 ED /y2 ED /x2 ED % save them
- /Alpha y2 y1 sub x2 x1 sub atan def % the gradient of the line
-% 2 copy /y1 ED /x1 ED ArrowA x1 y1
- ArrowA % draw arrowA
- x1 Alpha cos arrowlength mul add % dx add
- y1 Alpha sin arrowlength mul add % dy add, to get the current point at the end of the arrow tip
- /n n 1 sub def
- n {
- 4 copy
- /y1 ED /x1 ED /y2 ED /x2 ED
- x1 y1
- \psk@ArrowInsidePos\space 1 gt {
- /Alpha y2 y1 sub x2 x1 sub atan def
- /ArrowPos \psk@ArrowInsideOffset\space def
- /Length x2 x1 sub y2 y1 sub Pyth def
- /dArrowPos \psk@ArrowInsidePos\space abs def
- {
- /ArrowPos ArrowPos dArrowPos add def
- ArrowPos Length gt { exit } if
- x1 Alpha cos ArrowPos mul add
- y1 Alpha sin ArrowPos mul add
- ArrowInside
- pop pop
- } loop
- }{
- /ArrowPos \psk@ArrowInsideOffset\space def
- /dArrowPos \psk@ArrowInsideNo 1 gt {%
- 1.0 \psk@ArrowInsideNo 1.0 add div
- }{\psk@ArrowInsidePos } ifelse def
- \psk@ArrowInsideNo\space cvi {
- /ArrowPos ArrowPos dArrowPos add def
- x2 x1 sub ArrowPos mul x1 add
- y2 y1 sub ArrowPos mul y1 add
- ArrowInside
- pop pop
- } repeat
- } ifelse
- pop pop Lineto
- } repeat
- }{ ArrowA /n n 2 sub def n { Lineto } repeat } ifelse
- CP 4 2 roll ArrowB L pop pop } if%
-}>
-%
-% Redefinition of the PostScript /Polygon macro to print the intermediate
-% arrow on each segment of the line
-\pst@def{Polygon}<{%
- NArray n 2 eq { 0 0 /n 3 def } if
- n 3 lt {
- n { pop pop } repeat
- }{
- n 3 gt { CheckClosed } if
- n 2 mul -2 roll
- /y0 ED
- /x0 ED
- /y1 ED
- /x1 ED
- /xx1 x1 def
- /yy1 y1 def
- x1 y1
- /x1 x0 x1 add 2 div def
- /y1 y0 y1 add 2 div def
- x1 y1 moveto
- /n n 2 sub def
- /drawArrows {
- x11 y11
- \psk@ArrowInsidePos\space 1 gt {
- /Alpha y12 y11 sub x12 x11 sub atan def
- /ArrowPos \psk@ArrowInsideOffset\space def
- /Length x12 x11 sub y12 y11 sub Pyth def
- /dArrowPos \psk@ArrowInsidePos\space abs def
- {
- /ArrowPos ArrowPos dArrowPos add def
- ArrowPos Length gt { exit } if
- x11 Alpha cos ArrowPos mul add
- y11 Alpha sin ArrowPos mul add
- currentdict /ArrowInside known { ArrowInside } if
- pop pop
- } loop
- }{
- /ArrowPos \psk@ArrowInsideOffset\space def
- /dArrowPos \psk@ArrowInsideNo\space 1 gt {%
- 1.0 \psk@ArrowInsideNo\space 1.0 add div
- }{ \psk@ArrowInsidePos } ifelse def
- \psk@ArrowInsideNo\space cvi {
- /ArrowPos ArrowPos dArrowPos add def
- x12 x11 sub ArrowPos mul x11 add
- y12 y11 sub ArrowPos mul y11 add
- currentdict /ArrowInside known { ArrowInside } if
- pop pop
- } repeat
- } ifelse
- pop pop Lineto
- } def
- n {
- 4 copy
- /y11 ED /x11 ED /y12 ED /x12 ED
- drawArrows
- } repeat
- x1 y1 x0 y0
- 6 4 roll
- 2 copy
- /y11 ED /x11 ED /y12 y0 def /x12 x0 def
- drawArrows
- /y11 y0 def /x11 x0 def /y12 yy1 def /x12 xx1 def
- drawArrows
- pop pop
- closepath
- } ifelse %
-}>
-%
-%
-% Redefinition of the PostScript /OpenBezier macro to print the intermediate
-% arrow
-\pst@def{OpenBezier}<{%
- /dArrowPos \psk@ArrowInsideNo 1 gt {%
- 1.0 \psk@ArrowInsideNo 1.0 add div
- }{ \psk@ArrowInsidePos } ifelse def
- BezierNArray
- n 1 eq { pop pop
- }{ 2 copy
- /y0 ED /x0 ED
- ArrowA
- n 4 sub 3 idiv { 6 2 roll 4 2 roll curveto } repeat
- 6 2 roll
- 4 2 roll
- ArrowB
- /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED
- /cx x1 x0 sub 3 mul def
- /cy y1 y0 sub 3 mul def
- /bx x2 x1 sub 3 mul cx sub def
- /by y2 y1 sub 3 mul cy sub def
- /ax x3 x0 sub cx sub bx sub def
- /ay y3 y0 sub cy sub by sub def
- /getValues {
- ax t0 3 exp mul bx t0 t0 mul mul add cx t0 mul add x0 add
- ay t0 3 exp mul by t0 t0 mul mul add cy t0 mul add y0 add
- ax t 3 exp mul bx t t mul mul add cx t mul add x0 add
- ay t 3 exp mul by t t mul mul add cy t mul add y0 add
- } def
- /getdL {
- getValues
- 3 -1 roll sub 3 1 roll sub Pyth
- } def
- /CurveLength {
- /u 0 def
- /du 0.01 def
- 0 100 {
- /t0 u def
- /u u du add def
- /t u def
- getdL add
- } repeat } def
- /GetArrowPos {
- /ende \psk@ArrowInsidePos\space 1 gt
- {ArrowPos}
- {ArrowPos CurveLength mul} ifelse def
- /u 0 def
- /du 0.01 def
- /sum 0 def
- { /t0 u def
- /u u du add def
- /t u def
- /sum getdL sum add def
- sum ende gt {exit} if
- } loop u
- } def
- /ArrowPos \psk@ArrowInsideOffset\space def
- /loopNo \psk@ArrowInsidePos\space 1 gt {%
- CurveLength \psk@ArrowInsidePos\space div cvi
- }{ \psk@ArrowInsideNo } ifelse def
- loopNo cvi {
- /ArrowPos ArrowPos dArrowPos add def
- /t GetArrowPos def
- /t0 t 0.95 mul def
- getValues
- ArrowInside pop pop pop pop
- } repeat
- x1 y1 x2 y2 x3 y3 curveto
- } ifelse
-}>
-%
-% Redefinition of the PostScript /NCLine macro to print the intermediate
-% arrow of the line
-\pst@def{NCLine}<{%
- NCCoor
- tx@Dict begin
- ArrowA CP 4 2 roll ArrowB
- 4 copy
- /y2 ED /x2 ED /y1 ED /x1 ED
- x1 y1
- \psk@ArrowInsidePos\space 1 gt {
- /Alpha y2 y1 sub x2 x1 sub atan def
- /ArrowPos \psk@ArrowInsideOffset\space def
- /Length x2 x1 sub y2 y1 sub Pyth def
- /dArrowPos \psk@ArrowInsidePos\space abs def
- {%
- /ArrowPos ArrowPos dArrowPos add def
- ArrowPos Length gt { exit } if
- x1 Alpha cos ArrowPos mul add
- y1 Alpha sin ArrowPos mul add
- ArrowInside
- pop pop
- } loop
- }{%
- /ArrowPos \psk@ArrowInsideOffset\space def
- /dArrowPos \psk@ArrowInsideNo 1 gt {%
- 1.0 \psk@ArrowInsideNo 1.0 add div
- }{ \psk@ArrowInsidePos } ifelse def
- \psk@ArrowInsideNo\space cvi {
- /ArrowPos ArrowPos dArrowPos add def
- x2 x1 sub ArrowPos mul x1 add
- y2 y1 sub ArrowPos mul y1 add
- ArrowInside
- pop pop
- } repeat
- } ifelse
- pop pop lineto pop pop
- end%
-}>
-%
-\pst@def{NCCurve}<{%
- GetEdgeA GetEdgeB
- xA1 xB1 sub yA1 yB1 sub
- Pyth 2 div dup 3 -1 roll mul
- /ArmA ED
- mul
- /ArmB ED
- /ArmTypeA 0 def
- /ArmTypeB 0 def
- GetArmA GetArmB
- xA2 yA2 xA1 yA1
- 2 copy
- /y0 ED /x0 ED
- tx@Dict begin
- ArrowA
- end
- xB2 yB2 xB1 yB1
- tx@Dict begin
- ArrowB
- end
- /y3 ED /x3 ED /y2 ED /x2 ED /y1 ED /x1 ED
- /cx x1 x0 sub 3 mul def
- /cy y1 y0 sub 3 mul def
- /bx x2 x1 sub 3 mul cx sub def
- /by y2 y1 sub 3 mul cy sub def
- /ax x3 x0 sub cx sub bx sub def
- /ay y3 y0 sub cy sub by sub def
- /getValues {
- ax t0 3 exp mul bx t0 t0 mul mul add cx t0 mul add x0 add
- ay t0 3 exp mul by t0 t0 mul mul add cy t0 mul add y0 add
- ax t 3 exp mul bx t t mul mul add cx t mul add x0 add
- ay t 3 exp mul by t t mul mul add cy t mul add y0 add
- } def
- /getdL {
- getValues
- 3 -1 roll sub 3 1 roll sub Pyth
- } def
- /CurveLength {
- /u 0 def
- /du 0.01 def
- 0 100 {
- /t0 u def
- /u u du add def
- /t u def
- getdL add
- } repeat } def
- /GetArrowPos {
- /ende \psk@ArrowInsidePos\space 1 gt {ArrowPos}{ArrowPos CurveLength mul} ifelse def
- /u 0 def
- /du 0.01 def
- /sum 0 def
- {
- /t0 u def
- /u u du add def
- /t u def
- /sum getdL sum add def
- sum ende gt {exit} if
- } loop u
- } def
- /dArrowPos \psk@ArrowInsideNo 1 gt {%
- 1.0 \psk@ArrowInsideNo 1.0 add div
- }{ \psk@ArrowInsidePos } ifelse def
- /ArrowPos \psk@ArrowInsideOffset\space def
- /loopNo \psk@ArrowInsidePos\space 1 gt {%
- CurveLength \psk@ArrowInsidePos\space div cvi
- }{ \psk@ArrowInsideNo } ifelse def
- loopNo cvi {
- /ArrowPos ArrowPos dArrowPos add def
- /t GetArrowPos def
- /t0 t 0.95 mul def
- getValues
- ArrowInside pop pop pop pop
- } repeat
- x1 y1 x2 y2 x3 y3 curveto
- /LPutVar [ xA1 yA1 xA2 yA2 xB2 yB2 xB1 yB1 ] cvx def
- /LPutPos { t LPutVar BezierMidpoint } def
- /HPutPos { { HPutLines } HPutCurve } def
- /VPutPos { { VPutLines } HPutCurve } def
-}>
-%
-%\def\psDashColorI{black}
-%\def\psDashColorII{red}
-\define@key[psset]{pstricksadd}{dashColorI}{\pst@getcolor{#1}\psDashColorI}
-\define@key[psset]{pstricksadd}{dashColorII}{\pst@getcolor{#1}\psDashColorII}
-\define@key[psset]{pstricksadd}{dashNo}{\def\psk@dashNo{#1}}
-%
-\define@key[psset]{pstricksadd}{linecap}{\def\psk@linecap{#1}}
-%\psset{dashColorI=black,dashColorII=red,dashNo=0.2,linecap=0}
-%
-\pst@def{LineII}<{%
- NArray
- /n n 1 sub def
- /y1 ED /x1 ED x1 y1 ArrowA x1 y1 moveto
- \psk@linecap\space 3 gt
- {\psk@linecap\space 0 lt {0 setlinecap} if }
- {\psk@linecap\space setlinecap} ifelse
- n {
- /y2 ED /x2 ED
- /y0 y1 def /x0 x1 def
- /length x2 x1 sub y2 y1 sub Pyth def
- \psk@dashNo\space 1.0 lt
- {/cntMax 1.0 \psk@dashNo\space div .49 add cvi def}
- {/cntMax length \psk@dashNo\space div .49 add cvi def} ifelse
- x2 x1 sub cntMax div /dx ED
- y2 y1 sub cntMax div /dy ED
- /cnt 0 def
- cntMax {
- gsave
- /x1 x1 dx add def
- /y1 y1 dy add def
- x1 y1
- cnt 2 mod 0 eq
- { \pst@usecolor\psDashColorI }
- { \pst@usecolor\psDashColorII } ifelse
- lineto stroke
- /cnt cnt 1 add def
- grestore
- x1 y1 moveto
- } repeat
- /y1 y2 def /x1 x2 def
- } repeat
- x0 y0 x2 y2 ArrowB L pop pop
-}>
-%
-\def\pslineII{\pst@object{pslineII}}
-\def\pslineII@i{%
- \pst@getarrows{%
- \begin@OpenObj
- \pst@getcoors[\pslineII@ii%
- }%
-}
-\def\pslineII@ii{%
- \addto@pscode{%
- \pst@cp
- \ifshowpoints true \else false \fi
- \tx@LineII
- }%
- \end@OpenObj%
-}
-%
-\define@key[psset]{pstricksadd}{randomPoints}{\def\psk@randomPoints{#1}}
-\define@boolkey[psset]{pstricksadd}[Pst@]{color}[true]{}
-%\psset{randomPoints=1000,color=false}
-%
-\def\psRandom{\pst@object{psRandom}}% hv 2004-11-12
-\def\psRandom@i{\@ifnextchar({\psRandom@ii}{\psRandom@iii(0,0)(1,1)}}
-\def\psRandom@ii(#1){\@ifnextchar({\psRandom@iii(#1)}{\psRandom@iii(0,0)(#1)}}
-\def\psRandom@iii(#1)(#2)#3{%
- \def\pst@tempA{#3}%
- \ifx\pst@tempA\pst@empty\psclip{\psframe(#2)}\else\psclip{#3}\fi
- \pst@getcoor{#1}\pst@tempA
- \pst@getcoor{#2}\pst@tempB
- \begin@SpecialObj
- \addto@pscode{
- \pst@tempA\space /yMin exch def
- /xMin exch def
- \pst@tempB\space /yMax exch def
- /xMax exch def
- /dy yMax yMin sub def
- /dx xMax xMin sub def
- rrand srand % initializes the random generator
- /getRandReal { rand 2147483647 div } def
- \psk@dotsize % defines /DS ... def
- \@nameuse{psds@\psk@dotstyle}
- \psk@randomPoints {
- \ifPst@color getRandReal getRandReal getRandReal setrgbcolor \fi
- getRandReal dx mul xMin add
- getRandReal dy mul yMin add
- Dot
- \ifx\psk@fillstyle\psfs@solid fill \fi stroke
- } repeat
- }%
- \end@SpecialObj
- \endpsclip
- \ignorespaces
-}
-%
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%%%%%%%%%% %%%%%%%%%%
-%%%%%%%%%%% pst-node %%%%%%%%%%
-%%%%%%%%%%% %%%%%%%%%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-% This fixes a bug in pst-node, where the XY-direction is wrong
-% the types are changed 1<->2 between X<->Y
-%
-\define@key[psset]{}{XnodesepA}{%
- \pst@getlength{#1}\psk@nodesepA
- \def\psk@nodeseptypeA{2 }%
-}
-\define@key[psset]{}{XnodesepB}{%
- \pst@getlength{#1}\psk@nodesepB
- \def\psk@nodeseptypeB{2 }%
-}
-\define@key[psset]{}{Xnodesep}{%
- \pst@getlength{#1}\psk@nodesepA
- \let\psk@nodesepB\psk@nodesepA
- \def\psk@nodeseptypeA{2 }%
- \def\psk@nodeseptypeB{2 }%
-}
-\define@key[psset]{}{YnodesepA}{%
- \pst@getlength{#1}\psk@nodesepA
- \def\psk@nodeseptypeA{1 }%
-}
-\define@key[psset]{}{YnodesepB}{%
- \pst@getlength{#1}\psk@nodesepB
- \def\psk@nodeseptypeB{1 }%
-}
-\define@key[psset]{}{Ynodesep}{%
- \pst@getlength{#1}\psk@nodesepA
- \let\psk@nodesepB\psk@nodesepA
- \def\psk@nodeseptypeA{1 }%
- \def\psk@nodeseptypeB{1 }%
-}
-%
-\pst@def{NCLineII}<{
- NCCoor
- /y1 ED /x1 ED x1 y1 ArrowA x1 y1 moveto
- /y2 ED /x2 ED
- /y0 y1 def /x0 x1 def
- /length x2 x1 sub y2 y1 sub Pyth def
- \psk@dashNo\space 1.0 lt
- {/cntMax 1.0 \psk@dashNo\space div .49 add cvi def}
- {/cntMax length \psk@dashNo\space div .49 add cvi def} ifelse
- x2 x1 sub cntMax div /dx ED
- y2 y1 sub cntMax div /dy ED
- /cnt 0 def
- cntMax {
- gsave
- /x1 x1 dx add def
- /y1 y1 dy add def
- x1 y1
- cnt 2 mod 0 eq
- { \pst@usecolor\psDashColorI }
- { \pst@usecolor\psDashColorII } ifelse
- lineto stroke
- /cnt cnt 1 add def
- grestore
- x1 y1 moveto
- } repeat
- x0 y0 x2 y2 ArrowB L pop pop%
-}>
-%
-\def\nclineII{\pst@object{nclineII}}%
-\def\nclineII@i{\check@arrow{\nclineII@ii}}%
-\def\nclineII@ii#1#2{\nc@object{Open}{#1}{#2}{.5}%
- {\tx@NCLineII /LPutPos { xB yB xA yA \tx@LPutLine } def}%
-}%
-\def\pclineII{\pst@object{pclineII}}%
-\def\pclineII@i{\pc@object\nclineII@ii}%
-%
-\define@key[psset]{pstricksadd}{lineAngle}{\psset{armB=0.5}\def\psk@lineAngle{#1}}%
-%\psset{lineAngle=0}%
-%
-\pst@def{NCDiag}<{
- GetEdgeA GetEdgeB GetArmA GetArmB mark
- \psk@lineAngle\space abs 0 gt {
- /xTemp xA2 10 add def
- /yTemp yA2 \psk@lineAngle\space dup sin exch cos div 10 mul add def
- /dY1 yTemp yA2 sub def
- /dX1 xTemp xA2 sub def
- /dY2 yB2 yB1 sub def
- /dX2 xB2 xB1 sub def
- dX1 abs 0.01 lt {
- /m2 dY2 dX2 div def
- /xB2 xA2 def
- /yB2 xA2 xB1 sub m2 mul yB1 add def
- }{
- dX2 abs 0.01 lt {
- /m1 dY1 dX1 div def
- /xB2 xB1 def
- /yB2 xB1 xA2 sub m1 mul yA2 add def
- }{%
- /m1 dY1 dX1 div def
- /m2 dY2 dX2 div def
- /xB2 m1 xA2 mul m2 xB1 mul sub yA2 sub yB1 add m1 m2 sub div def
- /yB2 xB2 xA2 sub m1 mul yA2 add def
- } ifelse
- } ifelse
- } if
- ArmB 0 ne { xB1 yB1 } if
- xB2 yB2
- xA2 yA2
- ArmA 0 ne { xA1 yA1 } if
- tx@Dict begin false Line end
- /LPutVar [ xB1 yB1 xB2 yB2 xA2 yA2 xA1 yA1 ] cvx def
- /LPutPos { LPutLines } def
- /HPutPos { HPutLines } def
- /VPutPos { VPutLines } def
-}>
-% hv 2003-12-22
-\pst@def{NCDiagg}<{
- GetEdgeA GetArmA \psk@lineAngle\space abs 0 gt { \psk@lineAngle\space }
- { yB yA2 sub xB xA2 sub Atan 180 add } ifelse /AngleB ED
- GetEdgeB mark
- \psk@lineAngle\space abs 0 gt {
- /dY2 yA2 yA1 sub def
- /dX2 xA2 xA1 sub def
- \psk@lineAngle\space abs 90 eq {
- /m2 dY2 dX2 div def
- /yA2 xB xA2 sub m2 mul yA2 add def
- /xA2 xB def
- }{
- /m1 \psk@lineAngle\space dup sin exch cos div def % tan alpha
- dX2 abs 0.01 lt {
- /yA2 xA1 xB sub m1 mul yB add def
- /xA2 xA1 def
- }{%
- /m2 dY2 dX2 div def
- /xA2 m1 xB mul m2 xA2 mul sub yA2 add yB sub m1 m2 sub div def
- /yA2 xA2 xB sub m1 mul yB add def
- } ifelse
- } ifelse
- } if
- xB1 yB1 xA2 yA2
- ArmA 0 ne { xA1 yA1 } if
- tx@Dict begin false Line end
- /LPutVar [ xB1 yB1 xA2 yA2 xA1 yA1 ] cvx def
- /LPutPos { LPutLines } def
- /HPutPos { HPutLines } def
- /VPutPos { VPutLines } def
-}>
-%
-\def\ncbarr{\pst@object{ncbarr}}
-\def\ncbarr@i#1#2{
- \begingroup
- \use@par%
- \psLNode(#1)(#2){0.5}{barr@tempNode}%
- \pst@dimm=\psk@angleA pt
- \pst@dimn=180pt
- % be sure, that angleA is 0 or 180. if not, we set it to 0
- \ifdim\pst@dimm=\z@\else\ifdim\pst@dimm=\pst@dimn\else\psset{angleA=0}\fi\fi
- \ncbar[arrows=-]{#1}{barr@tempNode}
- \ifdim\psk@angleA pt=\z@\relax
- \ncbar[angleA=180,angleB=180]{barr@tempNode}{#2}
- \else\ncbar[angleA=0,angleB=0]{barr@tempNode}{#2}\fi%
- \endgroup
-}
-% #1-------#4----------------#2
-% where #1#4= #3 * #1#2
-%
-\def\psLNode(#1)(#2)#3#4{%
- \pst@getcoor{#1}\pst@tempA%
- \pst@getcoor{#2}\pst@tempB%
- \pnode(!%
- \pst@tempA /YA exch \pst@number\psyunit div def
- /XA exch \pst@number\psxunit div def
- \pst@tempB /YB exch \pst@number\psyunit div def
- /XB exch \pst@number\psxunit div def
- /dx XB XA sub def
- /dy YB YA sub def
- XA dx #3\space mul add YA dy #3\space mul add){#4}
-}
-%
-% build the linear combination #2*#1+#4*#3=#5
-\def\psLCNode(#1)#2(#3)#4#5{%
- \pst@getcoor{#1}\pst@tempA%
- \pst@getcoor{#3}\pst@tempB%
- \pnode(!%
- \pst@tempA /YA exch \pst@number\psyunit div def
- /XA exch \pst@number\psxunit div def
- \pst@tempB /YB exch \pst@number\psyunit div def
- /XB exch \pst@number\psxunit div def
- XA #2\space mul XB #4\space mul add
- YA #2\space mul YB #4\space mul add){#5}%
-}
-%
-%
-\define@boolkey[psset]{pstricksadd}[Pst@]{trueAngle}[true]{}
-%\psset{trueAngle=false}
-%
-\def\psRelNode{\pst@object{psRelNode}}
-\def\psRelNode@i(#1)(#2)#3#4{{% A - B - factor - node name
- \use@par
- \pst@getcoor{#1}\pst@tempA%
- \pst@getcoor{#2}\pst@tempB%
- \pnode(!
- \pst@tempA /YA exch \pst@number\psyunit div def
- /XA exch \pst@number\psxunit div def
- \pst@tempB /YB exch \pst@number\psyunit div def
- /XB exch \pst@number\psxunit div def
- /AlphaStrich \psk@angleA\space def
- /unit \pst@number\psyunit \pst@number\psxunit div def % yunit/xunit
-%
- /dx XB XA sub def
- /dy YB YA sub \ifPst@trueAngle\space unit mul \fi\space def
- /laenge dy dup mul dx dup mul add sqrt #3 mul def
- /Alpha dy dx atan def
- /beta Alpha AlphaStrich add def
- laenge beta cos mul XA add
- laenge beta sin mul \ifPst@trueAngle\space unit div \fi\space YA add ){#4}%
-}}
-%
-\def\psRelLine{\pst@object{psRelLine}}
-\def\psRelLine@i{\@ifnextchar({\psRelLine@iii}{\psRelLine@ii}}
-\def\psRelLine@ii#1{%
- \addto@par{arrows=#1}%
- \psRelLine@iii%
-}
-\def\psRelLine@iii(#1)(#2)#3#4{{
- \pst@killglue
- \use@par
- \psRelNode(#1)(#2){#3}{#4}
- \psline(#1)(#4)%
-}\ignorespaces}
-%
-% #1 options
-% draw a parallel line to #2 #3
-% #2---------#3
-% #4----------#5(new node)
-% #5 length of the line
-% #6 node name
-\def\psParallelLine{\pst@object{psParallelLine}}
-\def\psParallelLine@i{\@ifnextchar({\psParallelLine@iii}{\psParallelLine@ii}}
-\def\psParallelLine@ii#1{%
- \addto@par{arrows=#1}%
- \psParallelLine@iii%
-}
-\def\psParallelLine@iii(#1)(#2)(#3)#4#5{{
- \pst@killglue
- \use@par
- \pst@getcoor{#1}\pst@tempA
- \pst@getcoor{#2}\pst@tempB
- \pst@getcoor{#3}\pst@tempC
-% \pst@getlength{#4}\pst@dima
- \pnode(!%
- \pst@tempA /YA exch \pst@number\psyunit div def
- /XA exch \pst@number\psxunit div def
- \pst@tempB /YB exch \pst@number\psyunit div def
- /XB exch \pst@number\psxunit div def
- \pst@tempC /YC exch \pst@number\psyunit div def
- /XC exch \pst@number\psxunit div def
-%
- /dx XB XA sub def
- /dy YB YA sub def
- /laenge dy dup mul dx dup mul add sqrt #4 mul def
- /Alpha dy dx atan def
- laenge Alpha cos mul XC add
- laenge Alpha sin mul YC add ){#5}%
- \psline(#3)(#5)
-}\ignorespaces}
-%
-\def\psIntersectionPoint(#1)(#2)(#3)(#4)#5{%
- \pst@getcoor{#1}\pst@tempA
- \pst@getcoor{#2}\pst@tempB
- \pst@getcoor{#3}\pst@tempC
- \pst@getcoor{#4}\pst@tempd
-\pnode(!%
- \pst@tempA /YA exch \pst@number\psyunit div def
- /XA exch \pst@number\psxunit div def
- \pst@tempB /YB exch \pst@number\psyunit div def
- /XB exch \pst@number\psxunit div def
- \pst@tempC /YC exch \pst@number\psyunit div def
- /XC exch \pst@number\psxunit div def
- \pst@tempd /YD exch \pst@number\psyunit div def
- /XD exch \pst@number\psxunit div def
- /dY1 YB YA sub def
- /dX1 XB XA sub def
- /dY2 YD YC sub def
- /dX2 XD XC sub def
- dX1 abs 0.01 lt {
- /m2 dY2 dX2 div def
- XA dup XC sub m2 mul YC add
- }{
- dX2 abs 0.01 lt {
- /m1 dY1 dX1 div def
- XC dup XA sub m1 mul YA add
- }{%
- /m1 dY1 dX1 div def
- /m2 dY2 dX2 div def
- m1 XA mul m2 XC mul sub YA sub YC add m1 m2 sub div dup
- XA sub m1 mul YA add
- } ifelse
- } ifelse ){#5}%
-}
-%
-\def\psLDNode(#1)(#2)#3#4{%
-% #1: node A #2: node B #3: dimen measured from A #4: node name
- \pst@getcoor{#1}\pst@tempA%
- \pst@getcoor{#2}\pst@tempB%
- \pssetlength\pst@dima{#3}%
- \pnode(!%
- \pst@tempA /YA exch \pst@number\psyunit div def
- /XA exch \pst@number\psxunit div def
- \pst@tempB /YB exch \pst@number\psyunit div def
- /XB exch \pst@number\psxunit div def
- /dx XB XA sub def
- /dy YB YA sub def
- /angle dy dx Atan def
- /length \pst@number\pst@dima \pst@number\psunit div def
- XA length angle cos mul add YA length angle sin mul add ){#4}%
-}
-\def\nlput{\pst@object{nlput}}
-\def\nlput@i(#1)(#2)#3#4{%
- \begin@SpecialObj
- \psLDNode(A)(B){#3}{@temp@lnput}
- \pcline[linestyle=none](#1)(@temp@lnput)%
- \ncput[npos=1]{#4}%
- \end@SpecialObj
-} %
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%%%%%%%%%%% %%%%%%%%%%
-%%%%%%%%%%% pst-plot %%%%%%%%%%
-%%%%%%%%%%% %%%%%%%%%%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%
-\define@key[psset]{pstricksadd}{labelFontSize}{\def\psk@labelFontSize{#1}}%
-\psset{labelFontSize={}}
-\def\pshlabel#1{\psk@labelFontSize$#1$}%
-\def\psvlabel#1{\psk@labelFontSize$#1$}
-%
-\define@boolkey[psset]{pstricksadd}[Pst@]{comma}[true]{}
-%
-\define@boolkey[psset]{pstricksadd}[Pst@]{xAxis}[true]{}
-\define@boolkey[psset]{pstricksadd}[Pst@]{yAxis}[true]{}
-\define@boolkey[psset]{pstricksadd}[Pst@]{xyAxes}[true]{%
- \@nameuse{Pst@xAxis#1}\@nameuse{Pst@yAxis#1}}%
-%\psset{xyAxes=true}%
-%
-\define@key[psset]{pstricksadd}{xyDecimals}{\def\psk@xDecimals{#1}\def\psk@yDecimals{#1}}
-\define@key[psset]{pstricksadd}{xDecimals}{\def\psk@xDecimals{#1}}
-\define@key[psset]{pstricksadd}{yDecimals}{\def\psk@yDecimals{#1}}
-%\psset{xyDecimals={}}%
-%
-\define@key[psset]{pstricksadd}{xlogBase}{\def\psk@xlogBase{#1}}
-\define@key[psset]{pstricksadd}{ylogBase}{\def\psk@ylogBase{#1}}
-\define@key[psset]{pstricksadd}{xylogBase}{\def\psk@xlogBase{#1}\def\psk@ylogBase{#1}}%
-%\psset{xylogBase={}}%
-%
-\define@key[psset]{pstricksadd}{trigLabelBase}{\pst@getint{#1}{\psk@trigLabelBase}}
-\psset{trigLabelBase=0}
-
-\define@boolkey[psset]{pstricksadd}[Pst@]{trigLabels}[true]{%
- \ifPst@trigLabels
- \def\pst@@@hlabel##1{\pshlabel{##1}}
- \def\pshlabel##1{%
- \ifnum\psk@trigLabelBase<2
- \def\de@nominator{\@ne}\else\def\de@nominator{\psk@trigLabelBase}\fi
- \def\pst@tempA{##1}
- \pst@abs{\pst@tempA}\pst@cntm
- \pst@mod{\pst@cntm}{\de@nominator}\pst@cntp % cntb=##1 modulo trigLabelBase
- \ifnum\@ne>\pst@cntp % 1 > modulo -> then we have pi/x
- \pst@cnto=\pst@cntm \divide\pst@cnto by \de@nominator
- \psk@labelFontSize
- \ifnum\pst@tempA<0 $-$\fi%
- \ifnum\pst@cnto=\@ne % #1 = trigLabelBase
- $\pi$ % print pi
- \else
- $\the\pst@cnto\pi$ % print \pst@cnto/\de@nominator pi
- \fi
- \else
- \ifnum\pst@cntp=\@ne % < 1 pi?
- \if\pst@cntm=\@ne
- $\frac{\pi}{\de@nominator}$ % pi/x
- \else\ifnum\pst@tempA=-1 $\frac{-\pi}{\de@nominator}$
- \else \ifnum\pst@tempA=1 $\frac{\pi}{\de@nominator}$
- \else$\frac{\pst@tempA\pi}{\de@nominator}$ % (x pi)/y
- \fi\fi\fi
- \else
- \ifnum\pst@tempA=1 $\frac{\pi}{\de@nominator}$
- \else\ifnum\pst@tempA=\de@nominator $\pi$
- \else$\frac{\pst@tempA\pi}{\de@nominator}$
- \fi\fi\fi\fi%
- }%
- \else
- \def\pst@@@hlabel##1{%
- \edef\@xyDecimals{\psk@xDecimals}%
- \ifnum\psk@ticks<\tw@ % ticks=all|x
- \ifx\psk@xlogBase\@empty
- \pshlabel{\psk@labelFontSize\expandafter\@LabelComma##1..\@nil\psk@xlabelFactor}%
- \else%
- \pshlabel{\psk@labelFontSize\psk@xlogBase\textsuperscript{\expandafter\@stripDecimals##1..\@nil }}
- \fi%
- \fi%
- }
- \def\pshlabel##1{\psk@labelFontSize$##1$}%
- \fi
-}
-\psset{trigLabels=false}
-%
-%logLines=all|x|y|none (0,1,2,3)
-\define@key[psset]{pstricksadd}{logLines}{\pst@expandafter\psset@@logLines{#1}\@nil\psk@logLines}
-\def\psset@@logLines#1#2\@nil#3{%
- \ifx#1a\let#3\z@\else
- \ifx#1x\let#3\@ne\else
- \ifx#1y\let#3\tw@\else
- \ifx#1n\let#3\thr@@\else
- \@pstrickserr{Bad argument: `#1#2'}\@ehpa
- \fi\fi\fi\fi}
-%\psset{logLines=none}%
-%
-% Define "ticklines" parameter (ticklines=all|x|y|none with default=none)
-%\def\psset@ticklines#1{\pst@expandafter\psset@@ticklines{#1}\@nil\psk@ticklines}
-%\psset@ticklines{none}
-\define@key[psset]{pstricksadd}{ylabelFactor}{\def\psk@ylabelFactor{#1}}
-\define@key[psset]{pstricksadd}{xlabelFactor}{\def\psk@xlabelFactor{#1}}
-%\psset{xlabelFactor=\relax,ylabelFactor=\relax}%
-% The parameter styles for the tick lines
-% (default=arrows=-,linestyle=dotted,dotsep=5pt)
-%\newpsstyle{ticklinesXStyle}{arrows=-,linestyle=dotted,dotsep=5pt}
-%\newpsstyle{ticklinesYStyle}{arrows=-,linestyle=dotted,dotsep=5pt}
-%
-%
-%% #1 integer
-%% #2 decimals
-%% #3 dot
-\def\@stripDecimals#1.#2.#3\@nil{%
- \def\dummy{#1}%
- \ifx\dummy\@empty\the\@zero\else#1\fi% the integer part
-}
-%
-\def\pst@@@vlabel#1{%
- \edef\@xyDecimals{\psk@yDecimals}%
-% \psk@yLabel%
- \ifodd\psk@ticks % ticks=all||y (0,2)
- \else
- \ifx\psk@ylogBase\@empty
-% \ifPst@comma
- \psvlabel{\expandafter\@LabelComma#1..\@nil\psk@ylabelFactor}%
-% \else\psvlabel{#1\psk@ylabelFactor}\fi%
- \else%
- \psvlabel{\psk@ylogBase\textsuperscript{\expandafter\@stripDecimals#1..\@nil }}
- \fi%
- \fi%
-}
-\newcount\@digitcounter\@digitcounter=0\relax
-\def\@inc@digitcounter{\global\advance\@digitcounter by 1\relax}
-\def\@get@digitcounter{\the\@digitcounter\relax}
-\def\@Reset@digitcounter{\global\@digitcounter=0\relax}
-\def\@zeroFill{%
- \ifnum \@xyDecimals>\@get@digitcounter
- \bgroup
- 0\@inc@digitcounter\@zeroFill
- \egroup%
- \fi%
-}
-% #1 the value, maybe empty
-%
-\def\@process@digits#1#2;{%
- \ifx *#1\@zeroFill\else#1\@inc@digitcounter\@process@digits#2;\fi%
-}
-\def\@writeDecimals#1{%
- \ifx\@xyDecimals\@empty% take value as is
- \def\@tempa{#1}% write only if not empty
- \ifx\@tempa\@empty% write nothing
- \else
- \ifPst@comma{,}\else.\fi%
- #1%
- \fi%
- \else% write only \xy@decimals
- \ifnum\@xyDecimals>\@zero
- \ifPst@comma{,}\else.\fi
- \@Reset@digitcounter
- \@process@digits#1*;
- \fi%
- \fi%
-}
-%% #1 integer
-%% #2 decimals
-%% #3 dot
-\def\@LabelComma#1.#2.#3\@nil{%
- \def\pst@tempA{#1}%
- \ifx\pst@tempA\@empty\the\@zero\else#1\fi% the integer part
- \def\pst@tempA{#2}%
- \ifx\pst@tempA\@empty\@writeDecimals{}\else\@writeDecimals{#2}\fi%
-}
-%
-\def\psxs@none{%
- \let\psk@arrowA\@empty%
- \let\psk@arrowB\@empty%
- \psxs@axes%
-}
-%\def\psxs@axes{%
-% \psxs@@axes\pst@dima\pst@dimc{}%
-% \psxs@@axes\pst@dimb\pst@dimd{exch}%
-%}
-
-%
-\def\psxs@axes{{%
- \ifPst@xAxis\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{}\fi%
- \ifPst@yAxis\psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{exch}\fi%
-}}
-\def\psaxes{\pst@object{psaxes}}
-\def\psaxes@i{\pst@getarrows\psaxes@ii}
-\def\psaxes@ii(#1){\@ifnextchar({\psaxes@iii(#1)}{\psaxes@iv(0,0)(0,0)(#1)}}
-\def\psaxes@iii(#1)(#2){\@ifnextchar({\psaxes@iv(#1)(#2)}{\psaxes@iv(#1)(#1)(#2)}}
-%
-\def\psaxes@iv(#1,#2)(#3,#4)(#5,#6){%
- \pst@killglue%
- \begingroup%
- \setbox\pst@hbox=\hbox\bgroup%
- \use@par%
- \pssetxlength\pst@dimg{#1}% o-x
- \pssetylength\pst@dimh{#2}% o-y
- \pssetxlength\pst@dima{#3}% bl-x
- \pssetylength\pst@dimb{#4}% bl-y
- \pssetxlength\pst@dimc{#5}% ur-x
- \pssetylength\pst@dimd{#6}% ur-y
- % If minimum values are negative in log mode, we modify Ox
- % (respectively Oy) if this was not done by the user
- % X axis labels (\psk@log = 0 or 1)
-%
-% Whole thing will be translated to origin:
- \advance\pst@dima-\pst@dimg% Dist. from bl-x to o-x
- \advance\pst@dimb-\pst@dimh% Dist. from bl-y to o-y
- \advance\pst@dimc-\pst@dimg% Dist. from ur-x to o-x
- \advance\pst@dimd-\pst@dimh% Dist. from ur-y to o-y
-% Make lines/arrows or frame:
- \@nameuse{psxs@\psk@axesstyle}% \psxs@axes or \psxs@frame
- \ifPst@yAxis%
- \begingroup%
- \ifdim\pst@dima=\z@\else\showoriginfalse\fi%
- \ifnum\psk@dy=\z@%
- \pst@dimg=\psk@Dy\psyunit%
- \edef\psk@dy{\number\pst@dimg}%
- \fi%
- \ifPst@xAxis\else\showorigintrue\fi%
- \pst@vlabels{\pst@dimd}{\psk@arrowB}{#3}{#5}%
- \ifPst@xAxis\showoriginfalse\fi%
- \pst@vlabels{\pst@dimb}{\psk@arrowA}{#3}{#5}%
- \endgroup%
- \fi%
- \ifPst@xAxis%
- \begingroup%
- \ifdim\pst@dimb=\z@\else\showoriginfalse\fi%
- \ifnum\psk@dx=\z@%
- \pst@dimg=\psk@Dx\psxunit%
- \edef\psk@dx{\number\pst@dimg}%
- \fi%
- \ifPst@yAxis\else\showorigintrue\fi%
- \pst@hlabels{\pst@dimc}{\psk@arrowB}{#4}{#6}%
- \ifPst@yAxis\showoriginfalse\fi%
- \pst@hlabels{\pst@dima}{\psk@arrowA}{#4}{#6}%
- \endgroup%
- \fi%
-% Now close "\pst@hbox" (which is 0-dimensional), and put it at the origin.
- \egroup%
- \pssetxlength\pst@dimg{#1}%
- \pssetylength\pst@dimh{#2}%
- \leavevmode\psput@cartesian\pst@hbox%
- \endgroup
- \ignorespaces%
-}
-%
-\newdimen\psk@subticksize\psk@subticksize=\z@
-\newdimen\pst@xticksizeA
-\newdimen\pst@xticksizeB
-\newdimen\pst@xticksizeC
-\newdimen\pst@yticksizeA
-\newdimen\pst@yticksizeB
-\newdimen\pst@yticksizeC
-%
-\def\set@xticksize#1{%
- \pst@expandafter\pst@getydimdim{#1} {} {}\@nil % y-unit!!
- \pst@xticksizeA=\the\pst@dimm%
- \pst@xticksizeB=\the\pst@dimn%
- \edef\psk@xticksize{\pst@number\pst@xticksizeA \pst@number\pst@xticksizeB}%
- \ifdim\pst@dimm=\z@\relax
- \pst@xticksizeC=\z@
- \else%
- \pst@absdim{\pst@xticksizeA}\pst@dimm%
- \pst@absdim{\pst@xticksizeB}\pst@dimn%
- \pst@maxdim{\pst@dimm}{\pst@dimn}\pst@dimo%
- \pst@xticksizeC=\pst@dimo%
- \fi%
-}
-\def\set@yticksize#1{%
- \pst@expandafter\pst@getxdimdim{#1} {} {}\@nil % x-unit!
- \pst@yticksizeA=\the\pst@dimm%
- \pst@yticksizeB=\the\pst@dimn%
- \edef\psk@yticksize{\pst@number\pst@yticksizeA \pst@number\pst@yticksizeB}%
- \ifdim\pst@dimm=\z@\relax
- \pst@yticksizeC=\z@
- \else%
- \pst@absdim{\pst@yticksizeA}\pst@dimm%
- \pst@absdim{\pst@yticksizeB}\pst@dimn%
- \pst@maxdim{\pst@dimm}{\pst@dimn}\pst@dimo%
- \pst@yticksizeC=\pst@dimo%
- \fi%
-}
-\define@key[psset]{}{ticksize}{\set@xticksize{#1}\set@yticksize{#1}}
-\define@key[psset]{pstricksadd}{xticksize}{\set@xticksize{#1}}
-\define@key[psset]{pstricksadd}{yticksize}{\set@yticksize{#1}}% overwrites the definition in pstricks
-%\psset{ticksize=-4pt 4pt}
-%
-% full= 0, top=1, bottom=-1
-\define@key[psset]{}{tickstyle}{%
- \pst@expandafter\psset@@tickstyle{#1}\@nil%
- \pst@cnta=\psk@tickstyle
- \advance\pst@cnta by 1
- \ifcase\pst@cnta% bottom
- \pst@xticksizeB=\z@
- \pst@yticksizeB=\z@
- \or% full
- \or% top
- \pst@xticksizeA=\z@
- \pst@yticksizeA=\z@
- \fi
-}
-%\psset{tickstyle=full}%
-%
-%
-\define@key[psset]{pstricksadd}{subticks}{\def\psk@xsubticks{#1}\def\psk@ysubticks{#1}}
-\define@key[psset]{pstricksadd}{xsubticks}{\def\psk@xsubticks{#1}}
-\define@key[psset]{pstricksadd}{ysubticks}{\def\psk@ysubticks{#1}}
-%
-\define@key[psset]{pstricksadd}{subticksize}{\def\psk@xsubticksize{#1}\def\psk@ysubticksize{#1}}
-\define@key[psset]{pstricksadd}{xsubticksize}{\def\psk@xsubticksize{#1}}
-\define@key[psset]{pstricksadd}{ysubticksize}{\def\psk@ysubticksize{#1}}
-%
-\define@key[psset]{pstricksadd}{tickwidth}{%
- \pst@getlength{#1}\psk@xtickwidth%
- \pst@getlength{#1}\psk@ytickwidth}
-\define@key[psset]{pstricksadd}{xtickwidth}{\pst@getlength{#1}\psk@xtickwidth}
-\define@key[psset]{pstricksadd}{ytickwidth}{\pst@getlength{#1}\psk@ytickwidth}
-\define@key[psset]{pstricksadd}{subtickwidth}{%
- \pst@getlength{#1}\psk@xsubtickwidth%
- \pst@getlength{#1}\psk@ysubtickwidth}
-\define@key[psset]{pstricksadd}{xsubtickwidth}{\pst@getlength{#1}\psk@xsubtickwidth}
-\define@key[psset]{pstricksadd}{ysubtickwidth}{\pst@getlength{#1}\psk@ysubtickwidth}
-%
-\define@key[psset]{pstricksadd}{tickcolor}{\def\psk@xtickcolor{#1}\def\psk@ytickcolor{#1}}
-\define@key[psset]{pstricksadd}{xtickcolor}{\def\psk@xtickcolor{#1}}
-\define@key[psset]{pstricksadd}{ytickcolor}{\def\psk@ytickcolor{#1}}
-\define@key[psset]{pstricksadd}{subtickcolor}{%
- \pst@getcolor{#1}\psk@xsubtickcolor%
- \pst@getcolor{#1}\psk@ysubtickcolor}
-\define@key[psset]{pstricksadd}{xsubtickcolor}{\pst@getcolor{#1}\psk@xsubtickcolor}
-\define@key[psset]{pstricksadd}{ysubtickcolor}{\pst@getcolor{#1}\psk@ysubtickcolor}
-%
-\define@key[psset]{pstricksadd}{xticklinestyle}{%
- \@ifundefined{psls@#1}%
- {\@pstrickserr{Line style `#1' not defined}\@eha}%
- {\def\psxticklinestyle{#1}}}
-\define@key[psset]{pstricksadd}{xsubticklinestyle}{%
- \@ifundefined{psls@#1}%
- {\@pstrickserr{Line style `#1' not defined}\@eha}%
- {\def\psxsubticklinestyle{#1}}}
-\define@key[psset]{pstricksadd}{yticklinestyle}{%
- \@ifundefined{psls@#1}%
- {\@pstrickserr{Line style `#1' not defined}\@eha}%
- {\def\psyticklinestyle{#1}}}
-\define@key[psset]{pstricksadd}{ysubticklinestyle}{%
- \@ifundefined{psls@#1}%
- {\@pstrickserr{Line style `#1' not defined}\@eha}%
- {\def\psysubticklinestyle{#1}}}
-\define@key[psset]{pstricksadd}{ticklinestyle}{%
- \@ifundefined{psls@#1}%
- {\@pstrickserr{Line style `#1' not defined}\@eha}%
- {\def\psxticklinestyle{#1}\def\psyticklinestyle{#1}}}
-\define@key[psset]{pstricksadd}{subticklinestyle}{%
- \@ifundefined{psls@#1}%
- {\@pstrickserr{Line style `#1' not defined}\@eha}%
- {\def\psxsubticklinestyle{#1}\def\psysubticklinestyle{#1}}}
-%
-\define@key[psset]{pstricksadd}{ticklinestyle}{\psset{xticklinestyle=#1,yticklinestyle=#1}}
-\define@key[psset]{pstricksadd}{subticklinestyle}{\psset{xsubticklinestyle=#1,ysubticklinestyle=#1}}
-%\psset{subticksize=0.75,subticks=1,tickcolor=black,ticklinestyle=solid,%
-% subticklinestyle=solid,%
-% subtickcolor=gray,%
-% tickwidth=0.5\pslinewidth,%
-% subtickwidth=0.25\pslinewidth}
-%
-\newif\ifis@yAxis%
-%
-\def\psxs@@axes#1#2#3#4#5{% llx,lly,urx,ury,exch,arrowA,arrowB
- \pst@killglue%
- \begin@SpecialObj%
- \def\pst@tempA{#5}%
- \ifx\pst@tempA\@empty\relax%
- \is@yAxisfalse%
- \ifnum\psk@dx=\z@%
- \pst@dimg=\psk@Dx\psxunit%
- \def\psk@dx{\number\pst@dimg}%
- \fi%
- \else%
- \is@yAxistrue%
- \ifnum\psk@dy=\z@%
- \pst@dimg=\psk@Dy\psyunit%
- \def\psk@dy{\number\pst@dimg}%
- \fi%
- \fi%
- \let\pst@linetype\pst@arrowtype%
- \def\pst@tempA{none}%
- \pst@addarrowdef%
- \addto@pscode{
- \ifis@yAxis 0 \pst@number#4 \else \pst@number#3 0 \fi
- \ifis@yAxis 0 \pst@number#2 \else \pst@number#1 0 \fi
- ArrowA
- CP 4 2 roll
- ArrowB
- /yEnd exch def /xEnd exch def
- xEnd yEnd
- \ifx\psk@axesstyle\pst@tempA
- pop pop % axesstyle = none (only ticks)
- \else
- L % the line with arrows
- \fi
- /yStart exch def
- /xStart exch def
- \@nameuse{psls@\pslinestyle} % linestyle for the axes
- stroke % draw the main line
-% \psk@ticks: all=0; x=1; y=2; none=3
- \number\psk@ticks\space dup 2 mod 0 eq \ifis@yAxis true \else false \fi and
- exch 2 lt \ifis@yAxis false \else true \fi and or {
- /viceversa
- \ifis@yAxis\pst@number#2 \pst@number#4 \else\pst@number#1 \pst@number#3 \fi
- gt { true }{ false } ifelse def % other way round
- /epsilon 0.01 def % rounding errors
- /minTickline \ifis@yAxis \pst@number#1 \else \pst@number#2 \fi def
- /maxTickline \ifis@yAxis \pst@number#3 \else \pst@number#4 \fi def
- /dT \ifis@yAxis \psk@dy \else \psk@dx \fi\space abs % added abs 2006-07-07
- 65536 div viceversa { neg } if def % div to get pt instead of sp
- /subTNo \ifis@yAxis\psk@ysubticks\else\psk@xsubticks\fi \space def
- subTNo 0 gt { /dsubT dT subTNo div def}{ /dsubT 0 def } ifelse % deltaSubTick
- \ifis@yAxis \psk@yticksize \else \psk@xticksize \fi
- /tickend exch def /tickstart exch def
- /Twidth \ifis@yAxis \psk@ytickwidth \else \psk@xtickwidth \fi\space def
- /subTwidth \ifis@yAxis \psk@ysubtickwidth \else \psk@xsubtickwidth \fi\space def
- /STsize \ifis@yAxis \psk@ysubticksize \else \psk@xsubticksize \fi\space def
- /TColor {
- \ifis@yAxis\pst@usecolor\psk@ytickcolor
- \else\pst@usecolor\psk@xtickcolor\fi\space } def
- /subTColor {
- \ifis@yAxis\pst@usecolor\psk@ysubtickcolor
- \else\pst@usecolor\psk@xsubtickcolor\fi\space } def
- /MinValue { \ifis@yAxis yStart \else xStart \fi
- \ifx\psk@arrowA\@empty\else
- \psk@arrowsize\space CLW mul add \psk@arrowlength\space mul
- viceversa { sub epsilon add } { add epsilon sub } ifelse \fi } def
- /MaxValue { \ifis@yAxis yEnd \else xEnd \fi
- \ifx\psk@arrowB\@empty\else
- \psk@arrowsize\space CLW mul add \psk@arrowlength\space mul
- viceversa { add epsilon sub } { sub epsilon add } ifelse \fi } def
- /logLines {
- \ifnum\psk@logLines=\z@ true \else % all axes
- \ifnum\psk@logLines<\tw@ % x axis
- \ifis@yAxis false \else true \fi % do we have x or y axis
- \else
- \ifnum\psk@logLines<\thr@@ % y axis
- \ifis@yAxis true \else false \fi % do we have x or y axis
- \else
- false % no one
- \fi
- \fi
- \fi
- } def
- /LSstroke { % set linestyle and stroke
- \ifis@yAxis\@nameuse{psls@\psyticklinestyle}
- \else\@nameuse{psls@\psxticklinestyle}\fi } def
- /subLSstroke { % set sublinestyle and stroke
- \ifis@yAxis\@nameuse{psls@\psysubticklinestyle}
- \else\@nameuse{psls@\psxsubticklinestyle}\fi } def
-%\iffalse
-% start ticks ---------------------------------------------------------
- 0 dT MaxValue { % the positive part of the axes
- /cntTick exch def % the index
- logLines { % log lines?
- gsave
- 1 10 subTNo div 9.99 { % do not write a line for 1
- /dx exch def % save index
- /x cntTick dT dx log mul add def %
- x abs MaxValue abs le { % out of range?
- x minTickline #5\space moveto
- x maxTickline #5\space lineto
- } if
- } for
- subTwidth SLW subTColor % set line width and subtick color
- subLSstroke
- grestore % restore main tick status
- stroke
- /dsubT 0 def % no other subticks
- } if
- dsubT abs 0 gt { % du we have subticks?
- gsave % save graphic state
-% start subticks ----------------------------------------------------------
- /cntsubTick cntTick dsubT add def
- subTNo 1 sub {
- cntsubTick abs MaxValue abs le { % out of range?
- cntsubTick tickstart STsize mul #5\space moveto
- cntsubTick tickend STsize mul #5\space lineto
- }{ exit } ifelse
- /cntsubTick cntsubTick dsubT add def
- } repeat
- subTwidth SLW subTColor % set line width and subtick color
- subLSstroke
-% end subticks ----------------------------------------------------------
- grestore % restore tick status
- } if
- gsave
- cntTick tickstart #5\space moveto % line begin main Tick
- cntTick tickend #5\space lineto % lineto tick end
- Twidth SLW TColor % set line width and tick color
- LSstroke
- grestore
- } for
-% end ticks ----------------------------------------------------------
-%\fi
-%\iffalse
-% ================================================ % the other side
- /dT dT neg def % the other side of the axis
- /dsubT dsubT neg def
-% start ticks ----------------------------------------------------------
- 0 dT MinValue epsilon viceversa { add }{ sub } ifelse {
- /cntTick exch def
- logLines { % log lines?
- gsave
- 1 10 subTNo div 9.99 { % do not write a line for 1
- /dx exch def % save index
- /x cntTick dT dx log mul add def %
- x abs MinValue abs le { % out of range?
- x minTickline #5\space moveto
- x maxTickline #5\space lineto
- } if
- } for
- /dsubT 0 def
- subTwidth SLW subTColor % set line width and subtick color
- subLSstroke
- grestore
- }
- dsubT abs 0 gt { % do we have subticks?
- gsave % save main state
-% start subticks ----------------------------------------------------------
- /cntsubTick cntTick dsubT add def
- subTNo 1 sub {
- cntsubTick abs MinValue abs le { % out of range?
- cntsubTick tickstart STsize mul #5\space moveto
- cntsubTick tickend STsize mul #5\space lineto
- }{ exit } ifelse
- /cntsubTick cntsubTick dsubT add def
- } repeat % for
-% end subticks ----------------------------------------------------------
- subTwidth SLW subTColor % set line width and subtick color
- subLSstroke
- grestore % restore main state
- } if
- gsave
- cntTick tickstart #5\space moveto % line begin main Tick
- cntTick tickend #5\space lineto % lineto tick end
- Twidth SLW TColor % set line width and tick color
- LSstroke
- grestore
- } for
-% end ticks ----------------------------------------------------------
-%\fi
- } if%
- }%
- \end@SpecialObj%
- \ignorespaces%
-}%
-%
-\def\psxs@frame{%
- \begin@SpecialObj%
- \addto@pscode{%
- \pst@number\pst@dima \pst@number\pst@dimb moveto \pst@number\pst@dimc \pst@number\pst@dimb L
- \pst@number\pst@dimc \pst@number\pst@dimd L \pst@number\pst@dima \pst@number\pst@dimd L
- closepath}%
- \pst@stroke%
- \psk@fillstyle%
- \end@SpecialObj%
- \let\psk@arrowA\@empty%
- \let\psk@arrowB\@empty%
-% \pst@dima=0pt\pst@dimb=0pt%
-% \psset{xticksize=0 \pst@dimd,yticksize=0 \pst@dimc}%
- \pst@xticksizeC=\z@\pst@yticksizeC=\z@%
- \psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{}%
- \psxs@@axes\pst@dima\pst@dimb\pst@dimc\pst@dimd{exch}%
-}
-%
-% #1:Max/Min in pt from origin; #2:arrow; #3:min; #4:max
-\def\pst@hlabels#1#2#3#4{%
- \ifdim#1=\z@\else% % start from 0 ?
- \ifx#2\empty\else\advance#1\ifdim#1>\z@-\fi7\pslinewidth\fi%
- \pst@cnta=#1\relax% % Distance (in sp) to end.
- \divide\pst@cnta\psk@dx\relax% % Number of ticks/labels
- \ifnum\pst@cnta=\z@\else%
- \pst@dimb=\psk@dx sp% % Space between ticks.
-% \ifPst@yAxis\else\showorigintrue\fi%
- \ifnum\psk@labels<\tw@ \ifPst@xAxis\pst@@hlabels\fi\fi%
- \showoriginfalse%
- \fi%
- \fi%
-}
-% Knows \pst@dimb and \pst@cnta
-\def\pst@@hlabels{%
- \pst@dimm=\pst@xticksizeC\advance\pst@dimm by \pslabelsep%
- \vbox to\z@{%
- \ifdim\pst@dimd>\z@\vskip\pst@dimm\else\vss\fi%
- \ifnum\pst@cnta<\z@\pst@dimb=-\pst@dimb\fi%
- \hbox to\z@{%
- \ifshoworigin\hbox to \z@{\hss\pst@@@hlabel{\psk@Ox}\hss}\fi%
- \mmultido{\n=\psk@Ox+\psk@Dx}{\pst@cnta}{%
- \hskip\pst@dimb\hbox to \z@{\hss\pst@@@hlabel{\n}\hss}%
- }\hss%
- }%
- \ifdim\pst@dimd>\z@\vss\else\vskip\pst@dimm\fi%
-}}%
-
-% #1:Max/Min in pt from origin; #2:arrow; #3:min; #4:max
-% \psk@labels 0:all; 1:x; 2:y; 3:none
-\def\pst@vlabels#1#2#3#4{%
- \ifdim#1=\z@\else%
- \ifx#2\empty\else\advance#1\ifdim#1>\z@-\fi7\pslinewidth\fi%
- \pst@cnta=#1\relax % % Distance (in sp) to end.
- \divide\pst@cnta\psk@dy\relax % % Number of ticks/labels
- \ifnum\pst@cnta=\z@\else%
- \pst@dima=\psk@dy sp% % Space between ticks.
-% \ifPst@xAxis\else\showorigintrue\fi%
- \ifodd\number\psk@labels\else\ifPst@yAxis\pst@@vlabels\fi\fi%
- \showoriginfalse%
- \fi%
- \fi%
-}
-% \pst@dima: the width between two labels in pt
-% \pst@dimc: the coordinate of the origin in pt
-% \pst@cnta: the lowest label
-\def\pst@@vlabels{%
- \pst@dimm=\pst@yticksizeC%
- \advance\pst@dimm by \pslabelsep%
- \vbox to\z@{%
- \ifnum\pst@cnta>\z@\pst@dima=-\pst@dima\fi%
- \offinterlineskip%
- \ifshoworigin
- \vbox to \z@{\vss\hbox to\z@{%
- \ifdim\pst@dimc>\z@\hss\else\hskip\pst@dimm\fi
- \pst@@@vlabel{\psk@Oy}%
- \ifdim\pst@dimc>\z@\hskip\pst@dimm\else\hss\fi}\vss}%
- \fi%
- \mmultido{\n=\psk@Oy+\psk@Dy}{\pst@cnta}{%
- \vbox to\pst@dima{\vss}
- \vbox to \z@{%
- \vss\hbox to\z@{%
- \ifdim\pst@dimc>\z@%
- \hss\pst@@@vlabel{\n}\hskip\pst@dimm%
- \else%
- \hskip\pst@dimm\pst@@@vlabel{\n}\hss%
- \fi
- }\vss%
- }}%
- \vss%
-}}
-%
-\define@key[psset]{pstricksadd}{nStep}{\def\psk@nStep{#1}}
-\define@key[psset]{pstricksadd}{nStart}{\def\psk@nStart{#1}}
-\define@key[psset]{pstricksadd}{nEnd}{\def\psk@nEnd{#1}}
-\define@key[psset]{pstricksadd}{xStep}{\def\psk@xStep{#1}}
-\define@key[psset]{pstricksadd}{yStep}{\def\psk@yStep{#1}}
-%
-\define@key[psset]{pstricksadd}{xStart}{\def\psk@xStart{#1}}
-\define@key[psset]{pstricksadd}{xEnd}{\def\psk@xEnd{#1}}
-\define@key[psset]{pstricksadd}{yStart}{\def\psk@yStart{#1}}
-\define@key[psset]{pstricksadd}{yEnd}{\def\psk@yEnd{#1}}
-%
-\define@key[psset]{pstricksadd}{plotNo}{\def\psk@plotNo{#1}}
-\define@key[psset]{pstricksadd}{plotNoMax}{\def\psk@plotNoMax{#1}}
-%
-%\psset{nStep=1, nStart=0, nEnd={},%
-% xStep=0, yStep=0, xStart={}, xEnd={}, yStart={}, yEnd={}, comma=false,%
-% plotNo=1,plotNoMax=1}%
-%
-\def\pstScalePoints(#1,#2)#3#4{%
-% xScale | yScale | xOperator | yOperator
-% the operators can be any Postscript code
- \pst@def{ScalePoints}<%
- /y ED /x ED
- counttomark dup dup cvi eq not { exch pop } if
- /m exch def /n m 2 div cvi def
- n {
- #4\space y mul #2\space mul m 1 roll
- #3\space x mul #1\space mul m 1 roll
- /m m 2 sub
- def } repeat>
-}
-%\pstScalePoints(1,1){}{}% the default -> no special operators
-%
-\def\listplot@ii#1{%
- \@nameuse{beginplot@\psplotstyle}%
- \addto@pscode{/D {} def mark}%
- #1%
- \addto@pscode{%
- \tx@PreparePoints
- \pst@number\psxunit
- \pst@number\psyunit
- \tx@ScalePoints%
- }%
- \@nameuse{endplot@\psplotstyle}%
-}
-%
-\define@boolkey[psset]{pstricksadd}[Pst@]{ChangeOrder}[true]{}
-\pst@def{PreparePoints}<{%
- counttomark /m exch def
- \ifPst@ChangeOrder
- /m0 m def
- m \psk@plotNoMax\space 1 add div 1 sub cvi {
- m0 \psk@plotNoMax\space 1 add roll /m0 m0 \psk@plotNoMax\space 1 add sub def
- } repeat
- \fi
- /n m \psk@plotNoMax\space 1 add div cvi def
- \psk@plotNoMax\space 1 gt {% multiple data files?
- n {
- \psk@plotNoMax\space \psk@plotNo\space 1 sub neg roll % x yNo y y y ...
- \psk@plotNoMax\space 1 sub { pop } repeat % x yNo
- /m m \psk@plotNoMax\space 1 sub sub def
- m 2 roll
- } repeat
- } if % no multiple data files
-% counttomark /m exch def
-% /n m 2 div cvi def
- /xMax -99999 def /yMax -99999 def
- /xP 0 def /yP 0 def
- m copy
- n {
- /y exch def /x exch def
- xMax x lt { /xMax x def } if
- yMax y lt {/yMax y def } if
- xP x gt { /xP x def } if
- yP y gt { /yP y def } if
- } repeat
-% m 2 roll
- \psk@xStep\space 0 gt \psk@yStep\space 0 gt or (\psk@xStart) length 0 gt or
- (\psk@yStart) length 0 gt or (\psk@xEnd) length 0 gt or (\psk@yEnd) length 0 gt or {
-%
- (\psk@xStart) length 0 gt {\psk@xStart\space }{ xP } ifelse /xStart exch def
- (\psk@yStart) length 0 gt {\psk@yStart\space }{ yP } ifelse /yStart exch def
- (\psk@xEnd) length 0 gt { \psk@xEnd\space }{ xMax } ifelse /xEnd exch def
- (\psk@yEnd) length 0 gt { \psk@yEnd\space }{ yMax } ifelse /yEnd exch def
- n {
- m -2 roll
- 2 copy /yVal exch def /xVal exch def
- xVal xP ge
- yVal yP ge and
- xVal xEnd le and
- yVal yEnd le and
- xVal xStart ge and
- yVal yStart ge and {
- /xP xP \psk@xStep\space add def
- /yP yP \psk@yStep\space add def
- }{%
- pop pop
- /m m 2 sub def
- } ifelse
- } repeat
- }{%
- /ncount 0 def
- (\psk@nEnd) length 0 gt { \psk@nEnd\space }{ m } ifelse
- /nEnd exch def
- n {
- m -2 roll
- \psk@nStep\space 1 gt {
- ncount \psk@nStart\space sub \psk@nStep\space mod 0 eq }{ true } ifelse
- ncount nEnd le and
- ncount \psk@nStart\space ge and not {
- pop pop
- /m m 2 sub def
- } if
- /ncount ncount 1 add def
- } repeat
- } ifelse
-}>
-%
-%
-\define@key[psset]{pstricksadd}{xAxisLabel}{\def\psk@xAxisLabel{#1}}
-\define@key[psset]{pstricksadd}{yAxisLabel}{\def\psk@yAxisLabel{#1}}
-%\psset{xAxisLabel=x,yAxisLabel=y}
-\define@key[psset]{pstricksadd}{xAxisLabelPos}{\def\psk@xAxisLabelPos{#1}}
-\define@key[psset]{pstricksadd}{yAxisLabelPos}{\def\psk@yAxisLabelPos{#1}}
-%\psset{yAxisLabelPos={},xAxisLabelPos={}}
-%
-\newdimen\psk@llx
-\newdimen\psk@lly
-\newdimen\psk@urx
-\newdimen\psk@ury
-\define@key[psset]{pstricksadd}{llx}{\pssetxlength\psk@llx{#1}}
-\define@key[psset]{pstricksadd}{lly}{\pssetylength\psk@lly{#1}}
-\define@key[psset]{pstricksadd}{urx}{\pssetxlength\psk@urx{#1}}
-\define@key[psset]{pstricksadd}{ury}{\pssetylength\psk@ury{#1}}
-%\psset{llx=\z@, lly=\z@, urx=\z@, ury=\z@}% prevents rounding errors
-\newif\ifPst@plot@box
-\define@key[psset]{pstricksadd}{box}[true]{\@nameuse{Pst@plot@box#1}}
-%
-\newdimen\pst@xunit
-\newdimen\pst@yunit
-%
-\def\psgraph{\pst@object{psgraph}}
-\def\psgraph@i{\pst@getarrows\psgraph@ii}
-\def\psgraph@ii(#1,#2){\catcode`\!=12\@ifnextchar({\psgraph@iii(#1,#2)}{\psgraph@iv(0,0)(#1,#2)}}
-\def\psgraph@iii(#1,#2)(#3,#4){\@ifnextchar({\psgraph@v(#1,#2)(#3,#4)}{\psgraph@iv(#1,#2)(#3,#4)}}
-%
-\def\psgraph@iv(#1,#2)(#3,#4)#5#6{% no special origin defined
-% minX | minY | maxX | maxY | Length x-axis | length y-axis%
- \pst@killglue%
- \begingroup%
- \pst@dimo=#3\p@\advance\pst@dimo by -#1\p@% delta x
- \pst@divide{#5}{\pst@dimo}\pst@tempA%
- \pst@xunit=\pst@tempA\p@%
- \pst@dimo=#4\p@\advance\pst@dimo by -#2\p@% delta y
- \ifx!#6 \pst@dima=\pst@tempA\pst@dimo\else\pst@dima=#6\fi
- \pst@divide\pst@dima{\pst@dimo}\pst@tempA%
- \pst@yunit=\pst@tempA\p@%
- %
- \pst@dima=#1\pst@xunit \advance\pst@dima by \psk@llx%
- \pst@dimb=#2\pst@yunit \advance\pst@dimb by \psk@lly%
- \pst@dimc=#3\pst@xunit \advance\pst@dimc by \psk@urx%
- \pst@dimd=#4\pst@yunit \advance\pst@dimd by \psk@ury%
- \if@star\pspicture*(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\else%
- \pspicture(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\fi%
- \psset{xunit=\pst@xunit,yunit=\pst@yunit}%
- \bgroup%
- \use@par%
- \psaxes(#1,#2)(#3,#4)%
- \egroup%
- \psgraph@vi(#1,#2)(#3,#4)%
-}
-\def\psgraph@v(#1,#2)(#3,#4)(#5,#6)#7#8{% with special origin
-% Xorig | yorig | minX | minY | maxX | maxY | Length x-axis | length y-axis%
- \pst@killglue%
- \begingroup%
- \pst@dimo=#5\p@\advance\pst@dimo by -#3\p@% delta x
- \pst@divide{#7}{\pst@dimo}\pst@tempA%
- \pst@xunit=\pst@tempA\p@%
- \pst@dimo=#6\p@\advance\pst@dimo by -#4\p@% delta y
- \ifx!#8 \pst@dima=\pst@tempA\pst@dimo\else\pst@dima=#8\fi
- \pst@divide\pst@dima{\pst@dimo}\pst@tempA%
- \pst@yunit=\pst@tempA\p@%
- %
- \pst@dima=#3\pst@xunit \advance\pst@dima by \psk@llx%
- \pst@dimb=#4\pst@yunit \advance\pst@dimb by \psk@lly%
- \pst@dimc=#5\pst@xunit \advance\pst@dimc by \psk@urx%
- \pst@dimd=#6\pst@yunit \advance\pst@dimd by \psk@ury%
- \if@star\pspicture*(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\else%
- \pspicture(\pst@dima,\pst@dimb)(\pst@dimc,\pst@dimd)\fi%
- \psset{xunit=\pst@xunit,yunit=\pst@yunit}%
- \bgroup%
- \use@par%
- \psaxes(#1,#2)(#3,#4)(#5,#6)%
- \egroup%
- \psgraph@vi(#1,#2)(#5,#6)%
-}
-\def\psgraph@vi(#1,#2)(#3,#4){%
- \ifx\psk@xAxisLabel\@empty\else%
- \ifx\psk@xAxisLabelPos\@empty\uput[0](#3,#2){\psk@xAxisLabel}%
- \else\rput(\psk@xAxisLabelPos){\psk@xAxisLabel}%
- \fi%
- \fi%
- \ifx\psk@yAxisLabel\@empty\else%
- \ifx\psk@yAxisLabelPos\@empty\uput[90](#1,#4){\psk@yAxisLabel}%
- \else\rput{90}(\psk@yAxisLabelPos){\psk@yAxisLabel}%
- \fi%
- \fi%
- \ignorespaces%
-}
-\def\endpsgraph{%
- \pst@killglue%
- \endpspicture%
- \endgroup%
-}
-\@namedef{psgraph*}{\psgraph*}
-\@namedef{endpsgraph*}{\endpsgraph}
-%
-\define@key[psset]{pstricksadd}{ignoreLines}{\def\psk@ignoreLines{#1}}
-
-\newcount\linecnt
-\begingroup
-\catcode`\,=13
-\catcode`\_=13
-\gdef\savedata@#1[#2]{%
- \xdef\pst@tempg{#2_}%
- \endgroup
- \let#1\pst@tempg
- \global\let\pst@tempg\relax
- \ignorespaces}
-\gdef\readdata@{%
- \read1 to \pst@tempA
- \ifnum\linecnt=\psk@nStep
- \global\linecnt=0
- \expandafter\readdata@@\pst@tempA_\@nil
- \fi
- \global\advance\linecnt by 1
- \ifeof1\else\expandafter\readdata@\fi}
-\gdef\pst@@readfile#1#2\@nil{\addto@pscode{,#1#2}}%
-\gdef\readdata@@#1#2\@nil{\xdef\pst@tempg{\pst@tempg,#1#2}}%
-\endgroup
-
-\def\readdata{\@ifnextchar[{\readdata@i}{\readdata@i[]}}
-\def\readdata@i[#1]#2#3{%
- \def\pst@tempA{#1}%
- \ifx\pst@tempA\@empty\else\psset{#1}\fi
- \openin1=#3
- \begingroup
- \def\pst@tempg{}%
- \ifeof1
- \@pstrickserr{Data file `#3' not found.}\@ehpa
- \else
- \pst@datadelimiters
- \catcode`\[=1
- \catcode`\]=2
- \pst@cnta=0
- \loop \ifnum\the\pst@cnta<\psk@ignoreLines
- \advance\pst@cnta by 1\relax
- \read1 to \pst@tempA
- \repeat
- \ifnum\Pst@Debug>0 \typeout{>>> ignored \the\pst@cnta\space data lines}\fi%
- \global\linecnt=\psk@nStep%
- \readdata@%
- \fi%
- \endgroup%
- \global\let#2\pst@tempg%
- \global\let\pst@tempg\relax%
-\ignorespaces}
-%
-% D.G. addition - Jun. 9, 1998 - Polar plots using the \psplot macro
-% Code added according the way suggested by Ulrich Dirr <udirr@das-team.com>
-% For polar plots
-\define@boolkey[psset]{pstricksadd}[Pst@]{polarplot}[true]{}
-\define@boolkey[psset]{pstricksadd}[Pst@]{algebraic}[true]{}
-\psset[pstricksadd]{polarplot=false,algebraic=false}% remark of ML
-%
-\define@key[psset]{pstricksadd}{method}{\def\psk@method{#1}}% adams - rk4
-\define@key[psset]{pstricksadd}{whichabs}{\def\psk@whichabs{#1}}%
-\define@key[psset]{pstricksadd}{whichord}{\def\psk@whichord{#1}}%
-\define@key[psset]{pstricksadd}{plotfuncx}{\def\psk@plotfuncx{#1}}%
-\define@key[psset]{pstricksadd}{plotfuncy}{\def\psk@plotfuncy{#1}}%
-\define@key[psset]{pstricksadd}{expression}{\def\psk@expression{#1}}%
-\define@boolkey[psset]{pstricksadd}[Pst@]{buildvector}[true]{}%
-\def\@rkiv{rk4}% Runge-Kutta 4 method
-\def\@adams{adams}% Adams method
-\def\@default{default}% Adams method
-%
-\define@boolkey[psset]{pstricksadd}[Pst@]{VarStep}[true]{}
-\define@key[psset]{pstricksadd}{PlotDerivative}{\def\psk@PlotDerivative{#1}}%
-\define@key[psset]{pstricksadd}{VarStepEpsilon}{\def\psk@VarStepEpsilon{#1}}%
-\define@key[psset]{pstricksadd}{varsteptol}{\def\psk@varsteptol{#1}}% adams - rk4
-\define@key[psset]{pstricksadd}{adamsorder}{\def\psk@adamsorder{#1}}% adams - rk4
-%\define@key[psset]{pstricksadd}{varstepincrease}{\def\psk@varstepincrease{#1}}% varrk4
-%
-\def\psplot@i#1#2#3{%
- \pst@killglue
- \begingroup
- \use@par
- \@nameuse{beginplot@\psplotstyle}%
-% D.G. modification begin - Jun. 9, 1998
- \ifPst@polarplot
- \addto@pscode{%
- \psplot@init
- /x #1 def
- /x1 #2 def
- /dx x1 x sub \psk@plotpoints div def
- /F@pstplot \ifPst@algebraic (#3)
- \ifx\psk@PlotDerivative\@none\else
- \psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat
- \fi\space
- tx@AlgToPs begin AlgToPs end cvx
- \else { #3 } \fi def
- \ifPst@VarStep
- /StillZero 0 def /LastNonZeroStep dx def
- /F2@pstplot tx@Derive begin (#3) (x) Derive (x) Derive end
- \ifx\psk@PlotDerivative\@none\else
- \psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat
- \fi\space
- tx@AlgToPs begin AlgToPs end cvx def
- %% computation of the tolerance defined by plotpoints
- /epsilon12 \ifx\psk@VarStepEpsilon\@default tx@Derive begin F2@pstplot end dx 3 exp abs mul abs
- \else\psk@VarStepEpsilon\space 12 mul \fi def
- /ComputeStep {
- dup 1e-4 lt
- { pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def }
- { epsilon12 exch div 1 3 div exp /StillZero 0 def }
- ifelse } bind def
- \fi
- /xy {% Adapted from \parametricplot@i
- F@pstplot x \ifPst@algebraic RadtoDeg \fi PtoC
-% #3 dup x cos mul exch x sin mul
- \pst@number\psyunit mul exch
- \pst@number\psxunit mul exch
- } def}%
- \else
-% D.G. modification end
- \addto@pscode{%
- \psplot@init
- /x #1 def
- /x1 #2 def
- /dx x1 x sub \psk@plotpoints div def
- /F@pstplot \ifPst@algebraic (#3)
- \ifx\psk@PlotDerivative\@none\else
- \psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat
- \fi\space
- tx@AlgToPs begin AlgToPs end cvx
- \else { #3 } \fi def
- \ifPst@VarStep
- /StillZero 0 def /LastNonZeroStep dx def
- /F2@pstplot tx@Derive begin (#3) (x) Derive (x) Derive end
- \ifx\psk@PlotDerivative\@none\else
- \psk@PlotDerivative\space { (x) tx@Derive begin Derive end } repeat
- \fi\space
- tx@AlgToPs begin AlgToPs end cvx def
- %% computation of the tolerance defined by plotpoints
- /epsilon12 \ifx\psk@VarStepEpsilon\@default tx@Derive begin F2@pstplot end dx 3 exp abs mul abs
- \else\psk@VarStepEpsilon\space 12 mul \fi def
- /ComputeStep {
- dup 1e-4 lt
- { pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def }
- { epsilon12 exch div 1 3 div exp /StillZero 0 def }
- ifelse } bind def
- \fi
- /xy {
- x \pst@number\psxunit mul F@pstplot \pst@number\psyunit mul
-% \ifPst@algebraic F@pstplot \else #3 \fi \pst@number\psyunit mul
- } def}%
- \fi
- \gdef\psplot@init{}%
- \@pstfalse
- \@nameuse{testqp@\psplotstyle}%
- \if@pst
- \psplot@ii
- \else
- \psplot@iii
- \fi
- \endgroup
- \ignorespaces}
-%
-\def\psplot@ii{%
- \ifPst@VarStep
- \addto@pscode{%
- mark xy \@nameuse{beginqp@\psplotstyle}
- { F2@pstplot abs ComputeStep
- x 2 copy add dup x1 gt {pop x1} if /x exch def F2@pstplot abs ComputeStep
- /x 3 -1 roll def 2 copy gt { exch } if pop
- /x x 3 -1 roll add dup x1 gt {pop x1} if def
- xy \@nameuse{doqp@\psplotstyle}
- x x1 eq { exit } if} loop}%
- \else\pst@killglue%
- \addto@pscode{%
- xy \@nameuse{beginqp@\psplotstyle}
- \ifx\psk@method\@varrkiv\else\psk@plotpoints 1 sub \fi {
- /x x dx add \ifx\psk@method\@varrkiv dup x1 gt { pop x1 } if \fi def
- xy \@nameuse{doqp@\psplotstyle}
- \ifx\psk@method\@varrkiv x x1 eq { exit } if \fi
- } \ifx\psk@method\@varrkiv loop\else repeat\fi
- /x x1 def
- xy \@nameuse{doqp@\psplotstyle}}%
- \fi%
- \@nameuse{endqp@\psplotstyle}}
-\def\psplot@iii{%
- \ifPst@VarStep
- \addto@pscode{%
- /n 2 def
- mark
- { xy n 2 roll F2@pstplot abs
- ComputeStep x 2 copy add dup x1 gt {pop x1} if
- /x exch def F2@pstplot abs ComputeStep
- /x 3 -1 roll def 2 copy gt { exch } if pop
- /x x 3 -1 roll dup /LastNonZeroStep exch def add dup x1 gt {pop x1} if def /n n 2 add def
- x x1 eq { exit } if } loop
- xy n 2 roll}%
- \else\pst@killglue%
- \addto@pscode{%
- mark
- /n 2 def
- \ifx\psk@method\@varrkiv\else\psk@plotpoints\fi {
- xy
- n 2 roll
- /n n 2 add def
- /x x dx add \ifx\psk@method\@varrkiv dup x1 gt { pop x1 } if \fi def
- \ifx\psk@method\@varrkiv x x1 eq { exit } if \fi
- } \ifx\psk@method\@varrkiv loop\else repeat\fi
- /x x1 def
- xy
- n 2 roll}%
- \fi%
- \@nameuse{endplot@\psplotstyle}}
-%
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-\def\parametricplot@i#1#2#3{%
- \pst@killglue%
- \begingroup
- \use@par
- \@nameuse{beginplot@\psplotstyle}%
- \addto@pscode{%
- \psplot@init
- /t #1 def
- /t1 #2 def
- /dt t1 t sub \psk@plotpoints div def
- /F@pstplot \ifPst@algebraic (#3)
- \ifx\psk@PlotDerivative\@none\else
- \psk@PlotDerivative\space { (t) tx@Derive begin Derive end } repeat
- \fi\space
- tx@AlgToPs begin AlgToPs end cvx
- \else { #3 } \fi def
- \ifPst@VarStep
- /StillZero 0 def /LastNonZeroStep dt def
- /F2@pstplot tx@Derive begin (#3) (t) Derive (t) Derive end
- \ifx\psk@PlotDerivative\@none\else
- \psk@PlotDerivative\space { (t) tx@Derive begin Derive end } repeat
- \fi\space
- tx@AlgToPs begin AlgToPs end cvx def
- %% computation of the tolerance defined by plotpoints
- /epsilon12 \ifx\psk@VarStepEpsilon\@default
- tx@Derive begin F2@pstplot end Pyth
- dt 3 exp abs mul
- \else\psk@VarStepEpsilon\space 12 mul \fi def
- /ComputeStep {
- dup 1e-4 lt
- { pop StillZero 2 ge { LastNonZeroStep 2 mul } { LastNonZeroStep } ifelse /StillZero StillZero 1 add def }
- { epsilon12 exch div 1 3 div exp /StillZero 0 def }
- ifelse } bind def
- \fi
- /xy {
- \ifPst@algebraic F@pstplot \else #3 \fi
- \pst@number\psyunit mul exch
- \pst@number\psxunit mul exch
- } def}%
- \gdef\psplot@init{}%
- \@pstfalse
- \@nameuse{testqp@\psplotstyle}%
- \if@pst
- \parametricplot@ii
- \else
- \parametricplot@iii
- \fi
- \endgroup
- \ignorespaces}
-\def\parametricplot@ii{%
- \ifPst@VarStep
- \addto@pscode{%
- mark xy \@nameuse{beginqp@\psplotstyle}
- { F2@pstplot Pyth ComputeStep
- t 2 copy add dup t1 gt {pop t1} if /t exch def F2@pstplot Pyth ComputeStep
- /t 3 -1 roll def 2 copy gt { exch } if pop
- /t t 3 -1 roll add dup t1 gt {pop t1} if def
- xy \@nameuse{doqp@\psplotstyle}
- t t1 eq { exit } if } loop}%
- \else\pst@killglue%
- \addto@pscode{%
- xy \@nameuse{beginqp@\psplotstyle}
- \psk@plotpoints 1 sub {
- /t t dt add def
- xy \@nameuse{doqp@\psplotstyle}
- } repeat
- /t t1 def
- xy \@nameuse{doqp@\psplotstyle}}%
- \fi%
- \@nameuse{endqp@\psplotstyle}}
-\def\parametricplot@iii{%
- \ifPst@VarStep
- \addto@pscode{%
- /n 2 def
- mark
- { xy n 2 roll F2@pstplot Pyth
- ComputeStep t 2 copy add dup t1 gt {pop t1} if
- /t exch def F2@pstplot Pyth ComputeStep
- /t 3 -1 roll def 2 copy gt { exch } if pop
- /t t 3 -1 roll dup /LastNonZeroStep exch def add dup t1 gt {pop t1} if def /n n 2 add def
- t t1 eq { exit } if } loop
- xy n 2 roll}%
- \else\pst@killglue%
- \addto@pscode{%
- mark
- /n 2 def
- \psk@plotpoints {
- xy
- n 2 roll
- /n n 2 add def
- /t t dt add def
- } repeat
- /t t1 def
- xy
- n 2 roll}%
- \fi%
- \@nameuse{endplot@\psplotstyle}}
-%
-\define@key[psset]{pstricksadd}{barwidth}{\pst@getlength{#1}\Add@barwidth}
-\psset[pstricksadd]{barwidth=0.25cm}
-%
-\def\psbar@ii{\addto@pscode{false \tx@NArray \psbar@iii}}
-\def\psbar@iii{%
- newpath
- n {
- /Yval exch def /Xval exch def
- Xval \number\Add@barwidth 0.5 mul sub 0 moveto
- 0 Yval rlineto \number\Add@barwidth 0 rlineto
- 0 Yval neg rlineto \number\Add@barwidth neg 0 rlineto
- } repeat
-}%
-\def\beginplot@bar{\begin@SpecialObj}
-\def\endplot@bar{%
- \psbar@ii\psk@fillstyle\ifpsshadow\pst@closedshadow\fi%
- \pst@stroke
- \end@SpecialObj%
-}
-%
-\define@key[psset]{pstricksadd}{StepType}{\pst@expandafter\psset@@StepType{#1}\@nil}%
-\def\psset@@StepType#1#2\@nil{%
- \ifx#1u\let\psk@StepType\@ne
- \else\ifx#1l\let\psk@StepType\z@\else\let\psk@StepType\tw@\fi\fi}
-\psset{StepType=lower} % alternative StepType=upper StepType=Riemann
-%
-\def\psStep{\pst@object{psStep}}
-\def\psStep@i(#1,#2)#3#4{%
- \begin@ClosedObj%
- \addto@pscode{
- \ifPst@algebraic /Func (#4) tx@addDict begin AlgParser end cvx def \fi
- /x #1 def
- /dx #2 #1 sub #3 div def
- /scx { \pst@number\psxunit mul } def
- /scy { \pst@number\psyunit mul } def
- \ifcase\psk@StepType % 0->lower
- x scx 0 moveto
- #3 {
- \ifPst@algebraic Func \else #4 \fi scy dup x scx exch lineto
- /x x dx add def
- x scx exch lineto x scx 0 lineto
- } repeat
- \or % 1-> upper
- x scx 0 moveto
- #3 {
- /x x dx add def
- \ifPst@algebraic Func \else #4 \fi scy dup x dx sub scx exch lineto
- x scx exch lineto x scx 0 lineto
- } repeat
- \or % 2-> Riemann
- /eps3 100 def
- /xMinMax [] def
- /AMax [] def
- /AMin [] def
- /dt dx eps3 div def
- #3 {
- /Max \ifPst@algebraic Func \else #4 \fi def
- /Min Max def
- /t x def % save x value
- eps3 {
- \ifPst@algebraic Func \else #4 \fi
- dup
- Max lt { /Max exch def } { dup Min gt { /Min exch def }{ pop } ifelse } ifelse
- /x x dt add def
- } repeat
- /x t def % restore
- x scx Min scy Max scy xMinMax aload length 3 add array astore /xMinMax exch def
- /x x dx add def
- } repeat
- /dx dx scx def
- xMinMax aload length 3 div cvi {
- /yMax ED /yMin ED /x ED
- x yMin moveto dx 0 rlineto x dx add yMax lineto
- dx neg 0 rlineto x yMin lineto } repeat
- \fi
- }%
- \psk@fillstyle
- \pst@stroke
- \end@ClosedObj%
-}
-%
-\define@key[psset]{pstricksadd}{Derive}{\def\psk@Derive{#1}}%
-\def\@NOTEMPTY{NOT@EMPTY}%%dr 0606
-%
-%% #1 : x value
-%% #2 : delta x
-%% #3 : function
-\def\psplotTangent{\pst@object{psplotTangent}}% idea from Dominique Rodriguez
-\def\psplotTangent@i#1#2#3{%
- \begin@OpenObj%
-% \let\pst@linetype\pst@arrowtype%
-% \pst@addarrowdef%
- \ifx\psk@Derive\@empty\ifPst@algebraic\psset{Derive=NOT@EMPTY}\fi\fi%%dr 0606
- \addto@pscode{
- gsave % save current state
- /F@pstplot \ifPst@algebraic (#3) tx@addDict begin AlgParser end cvx \else { #3 } \fi def % define function
- \ifx\psk@Derive\@empty\else
- \ifx\psk@Derive\@NOTEMPTY\else%%dr 0606
- /FDer@pstplot % do we have a derivation defined?
- \ifPst@algebraic (\psk@Derive) tx@addDict begin AlgParser end cvx \else { \psk@Derive } \fi def % define derivation
- \fi%%dr 0606
- \fi
- /@parametric false def %%dr 0606
- % first we calculate the origin
- #1 dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot
- %%{ /y ED /x ED } % if yes, then we have 2 values
- { /y ED /x ED /@parametric true def } % if yes, then we have 2 values%%dr 0606
- { \ifPst@polarplot x \ifPst@algebraic RadtoDeg \fi PtoC /y ED /x ED \else /y ED \fi } ifelse
- cleartomark
- \ifx\psk@Derive\@NOTEMPTY%%begin dr 0606
- %% algebraic we can use the derivative machine
- /FDer@pstplot (#3) @parametric { (t) } { (x) } ifelse
- tx@Derive begin Derive end tx@addDict begin AlgParser end cvx def
- \fi%%end dr 0606
- x \pst@number\psxunit mul y \pst@number\psyunit mul
- translate % define the temporary origin
- % now we calculate the slope of the tangent
- \ifx\psk@Derive\@empty% de we have a derivation defined?
- #1 abs 1.0e-6 lt % no, we choose secant for the tangent
- { #1 0.0005 add dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot
- { /y2 ED /x2 ED } % we have 2 values
- { \ifPst@polarplot dup x \ifPst@algebraic RadtoDeg \fi
- cos mul /x2 ED x \ifPst@algebraic RadtoDeg \fi sin mul \else /x2 x def \fi /y2 ED } ifelse
- cleartomark % delete the mark
- #1 0.0005 sub dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot
- { /y1 ED /x1 ED }
- { \ifPst@polarplot dup x \ifPst@algebraic RadtoDeg \fi
- cos mul /x1 ED x \ifPst@algebraic RadtoDeg \fi sin mul \else /x1 x def \fi /y1 ED } ifelse
- cleartomark
- y2 y1 sub x2 x1 sub } % dy dx
- { % > 1.0e-06
- #1 1.0005 mul dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot
- { /y2 ED /x2 ED } % we have 2 values
- { \ifPst@polarplot dup x \ifPst@algebraic RadtoDeg \fi
- cos mul /x2 ED x \ifPst@algebraic RadtoDeg \fi sin mul \else /x2 x def \fi /y2 ED } ifelse
- cleartomark
- #1 .9995 mul dup /x ED /t ED tx@addDict begin mark F@pstplot end counttomark 1 gt % test, if we have parametricplot
- { /y1 ED /x1 ED } % we have 2 values
- { \ifPst@polarplot dup x \ifPst@algebraic RadtoDeg \fi
- cos mul /x1 ED x \ifPst@algebraic RadtoDeg \fi sin mul \else /x1 x def \fi /y1 ED } ifelse
- cleartomark
- y2 y1 sub \pst@number\psyunit mul x2 x1 sub \pst@number\psxunit mul } ifelse
- atan % atan(dy dx), we have the slope angle of the secant
- \else % there is a derivation defined
- #1 dup /x ED /t ED tx@addDict begin mark FDer@pstplot end counttomark 1 gt % test, if we have parametricplot
- { /y ED /x ED }
- { \ifPst@polarplot /Fphi ED % the value F'(phi)
- tx@addDict begin F@pstplot end x \ifPst@algebraic RadtoDeg \fi PtoC /y0 ED /x0 ED % the x y values
- x \ifPst@algebraic RadtoDeg \fi sin Fphi mul x0 add /y ED
- x \ifPst@algebraic RadtoDeg \fi cos Fphi mul y0 sub /x ED
- \else /y ED /x 1 def \fi } ifelse
- cleartomark
- y \pst@number\psyunit mul x \pst@number\psxunit mul Atan
-% y ATAN1 % we have the slope angle of the tangent. ATAN is defined int the pstricks.pro, patch 6
- \fi
- rotate % rotate, depending to the origin
- /Lineto /lineto load def
- [
- -#2 \pst@number\psxunit mul 0 % moveto
- #2 \pst@number\psxunit mul 0 % lineto
- \pst@cp % kill the currentpoint, if any
- false % don't show the points
- \tx@Line
-% ArrowA CP 4 2 roll ArrowB L % the line with arrows L is defined in pstricks.pro
-% \pst@number\pslinewidth SLW % set linewidth in pt
-% \@nameuse{psls@\pslinestyle} % linestyle
-% \pst@usecolor\pslinecolor % linecolor
- stroke % stroke everything
- \ifshowpoints % show the points?
- \psk@dotsize
- \@nameuse{psds@\psk@dotstyle}%
- 0 0 Dot
- \fi
- grestore % restore old graphics state
- }%
- \use@pscode % part of \end@OpenObj
- \endgroup% % part of \end@OpenObj
- \ignorespaces% % part of \end@OpenObj
-}%
-%
-\def\@varrkiv{varrkiv}% Runge-Kutta 4 with an adaptive step method
-%% #1-#2 x range
-%% #3 initial value of y (which is a vector) y(0) y'(0) y''(0) ...
-%% #4 value of the derivative (y and t can be used)
-%
-\def\psplotDiffEqn{\pst@object{psplotDiffEqn}}% initial code by Dominique 2005-05-21
-\def\psplotDiffEqn@i#1#2#3#4{%
- \pst@killglue%
- \begingroup%
- \use@par%
- \@nameuse{beginplot@\psplotstyle}%
- \addto@pscode{%
- /x #1 def % first value
- /x1 #2 def % last value
- /y [ #3 ] def % values for t=0
- /ylength y length def % number of elements in #3
- /addvect {
- 1 1 ylength {
- /i exch def
- ylength i sub 2 add -1 roll add ylength 2 mul i sub 1 roll
- } for
- } def
- /dx x1 x sub \psk@plotpoints\space div def
- /mulvect {
- ylength exch
- 1 index {
- dup 4 -1 roll mul 2 index 2 add 1 roll
- } repeat
- pop pop } def
- /divvect { ylength exch 1 index { dup 4 -1 roll exch div 2 index 2 add 1 roll } repeat pop pop } def
- /k0 0 def /k1 0 def /k2 0 def /k3 0 def
- \ifPst@algebraic /F@pstplot (#4) tx@addDict begin AlgParser end cvx def \fi
- /Func {
- \ifPst@algebraic F@pstplot ylength array astore
- \else
- \ifPst@buildvector\else y aload pop \fi #4
- \ifPst@buildvector\else ylength array astore \fi
- \fi
- } def
- \ifx\psk@method\@adams /F1 0 def /F2 0 def /F3 0 def /F4 0 def /F5 0 def /F6 0 def /INIT 1 def \fi
- \ifx\psk@method\@empty\else
- \ifx\psk@method\@varrkiv %% RUNGE-KUTTA method with var step algorithm
- /VarStep false def /VarStepRatio 1 def
- /RK {
- /k0 Func { dx mul } forall ylength array astore def %% y
- dup aload pop k0 { 2 div } forall addvect ylength array astore /y exch def %
- x dup dx 2 div add /x exch def %% y x
- /k1 Func { dx mul } forall ylength array astore def %% y x
- exch dup aload pop k1 { 2 div } forall addvect y astore pop %% x y
- /k2 Func { dx mul } forall ylength array astore def %% x y
- dup aload pop k2 aload pop addvect y astore pop exch dup dx add /x exch def %% y x
- /k3 Func { dx mul } forall ylength array astore def %% y x
- /x exch def %% y
- dup aload pop k0 aload pop k1 aload pop k2 aload pop addvect
- 2 mulvect addvect k3 aload pop addvect
- 6 divvect addvect y astore
- } def
- /VARRK {
- VarStep
- %{ /dx dx \psk@varstepincrease\space mul def /VarStep false def } if
- { /dx dx VarStepRatio mul def /VarStep false def } if
- x dx add x1 gt { /dx x1 x sub def } if
- %{ /dx dx \psk@varstepdecrease\space div def } ifelse
- %% we compute y(x+dx) from y(x) using RK4
- RK %% y(x) y(x+dx)
- exch /y exch def /dx dx 2 div def
- { %% we compute y(x+dx/2) from y(x) using RK4
- y RK %% y(x+dx) y(x+dx/2)
- %% then y(x+dx) from y(x+dx/2) using RK4
- /y exch def y RK %% y(x+dx) y(x) y(x+dx/2) y(x+dx)
- dup aload pop 4 ylength add -1 roll
- { -1 mul } forall addvect 0 ylength { exch abs 2 copy lt { exch } if pop } repeat
- 0 3 -1 roll {abs 2 copy lt { exch } if pop } forall
- dup 1e-6 lt { pop } { div } ifelse
- /dx dx 2 mul def
- dup \psk@varsteptol\space lt
- %{ \psk@varsteptol\space div .1 lt { /VarStep true def } if pop exit } if
- %pop /dx dx 4 div def exch /y exch def } loop
- { .001 div dup .1 lt
- { dup 1e-6 lt { pop 3 } { log neg } ifelse /VarStepRatio exch def /VarStep true def }
- { pop } ifelse pop exit } if
- pop /dx dx 4 div def exch /y exch def } loop
- } def
- \else %% RUNGE-KUTTA & ADAMS methods
- /RK {
- /k0 Func { dx mul } forall ylength array astore def %% y
- dup aload pop k0 { 2 div } forall addvect ylength array astore /y exch def %
- x dup dx 2 div add /x exch def %% y x
- /k1 Func { dx mul } forall ylength array astore def %% y x
- exch dup aload pop k1 { 2 div } forall addvect y astore pop %% x y
- /k2 Func { dx mul } forall ylength array astore def %% x y
- dup aload pop k2 aload pop addvect y astore pop exch dup dx add /x exch def %% y x
- /k3 Func { dx mul } forall ylength array astore def %% y x
- /x exch def %% y
- dup aload pop k0 aload pop k1 aload pop k2 aload pop addvect
- 2 mulvect addvect k3 aload pop addvect
- 6 divvect addvect y astore pop
- } def
- \ifx\psk@method\@adams
- /ADAMS {
- \ifcase\psk@adamsorder
- \errmessage{pstricks-add error: no order 0th for adams method (see user's manual)}
- \or\errmessage{pstricks-add error: no order 1st for adams method (see user's manual)}
- \or\errmessage{pstricks-add error: no order 2nd for adams method (see user's manual)}
- \or\errmessage{pstricks-add error: no order 3rd for adams method (see user's manual)}
- \or
- %% ORDRE 4
- F4 aload pop 55 mulvect
- F3 aload pop -59 mulvect addvect
- F2 aload pop 37 mulvect addvect
- F1 aload pop -9 mulvect addvect
- dx mulvect 24 divvect
- \or
- %% ORDRE 5
- F5 aload pop 1901 mulvect
- F4 aload pop -2774 mulvect addvect
- F3 aload pop 2616 mulvect addvect
- F2 aload pop -1274 mulvect addvect
- F1 aload pop 251 mulvect addvect
- dx mulvect 720 divvect
- \or
- %% ORDRE 6
- F6 aload pop 4277 mulvect
- F5 aload pop -7923 mulvect addvect
- F4 aload pop 9982 mulvect addvect
- F3 aload pop -7298 mulvect addvect
- F2 aload pop 2877 mulvect addvect
- F1 aload pop -475 mulvect addvect
- dx mulvect 1440 divvect
- \fi
- y aload pop addvect ylength array astore /y exch def } def
- \fi
- \fi
- \fi
- /xy {
- \ifx\psk@plotfuncx\@empty
- \ifx\psk@whichabs\@empty x \else y \psk@whichabs\space get \fi
- \else \psk@plotfuncx\space \fi
- \pst@number\psxunit mul y
- \ifx\psk@method\@empty %% EULER method
- /y Func { dx mul } forall y aload pop addvect ylength array astore def
- \else%
- \ifx\psk@method\@varrkiv %% RUNGE-KUTTA method
- VARRK
- \else\ifx\psk@method\@rkiv %% RUNGE-KUTTA method
- RK
- \else
- /F1 F2 def /F2 F3 def /F3 F4 def /F4 %% ADAMS method
- \ifcase\psk@adamsorder\or\or\or\or
- %% ORDRE 4
- Func def
- \or
- %% ORDRE 5
- F5 def /F5 Func def
- \or
- %% ORDRE 6
- F5 def /F5 F6 def /F6 Func def
- \fi
- INIT \psk@adamsorder\space lt
- { RK /INIT INIT 1 add def }
- { ADAMS } ifelse
- \fi\fi
- \fi
- \ifx\psk@plotfuncy\@empty
- \ifx\psk@whichord\@empty 0 \else \psk@whichord\space \fi get %
- \else \psk@plotfuncy\space \fi
- \pst@number\psyunit mul
- } def
- }%
- \gdef\psplot@init{}%
- \@pstfalse
- \@nameuse{testqp@\psplotstyle}%
- \if@pst\psplot@ii\else\psplot@iii\fi
- \endgroup%
- \ignorespaces%
-}
-%
-%
-\def\psGTriangle{\pst@object{psGTriangle}}
-\def\psGTriangle@i(#1)(#2)(#3)#4#5#6{{%
- \def\solid@star{}%
- \begin@ClosedObj
- \pst@getcoor{#1}\pst@tempA% A: "rgb xr xg xb" or "gray xg"
- \pst@getcoor{#2}\pst@tempB% B
- \pst@getcoor{#3}\pst@tempC% C
- \pst@getcolor{#4}\pst@colorA
- \pst@getcolor{#5}\pst@colorB
- \pst@getcolor{#6}\pst@colorC
- \addto@pscode{%
- \pst@tempC % C
- \pst@tempB % B
- \psk@gangle % rotating angle
- \pst@tempA % A, temporary origin
- /rgb {} def
- /gray {} def
- [ \pst@colorC ] aload length 1 eq { dup dup } if 3 array astore % gray -> rgb
- [ \pst@colorB ] aload length 1 eq { dup dup } if 3 array astore
- [ \pst@colorA ] aload length 1 eq { dup dup } if 3 array astore
- tx@addDict begin GTriangle end % PS part
- }%
- \if@star\pspolygon(#1)(#2)(#3)\fi% draw borderline
- \def\pst@linetype{2}%
- \end@ClosedObj%
-}}
-%
-\define@key[psset]{pstricksadd}{dicescale}{\def\psk@dicescale{#1}}
-\def\psdice{\pst@object{psdice}}
-\def\psdice@i#1{{%
- \pst@killglue
- \psset{framearc=0.3,linewidth=1pt,dicescale=1.0}%
- \use@par%
- \psscalebox{\psk@dicescale}{%
- \psframe(-0.5,-0.5)(0.5,0.5)%
- \ifcase#1%
- \or\qdisk(0,0){3pt}%
- \or\qdisk(-0.3,-0.3){3pt}\qdisk(0.3,0.3){3pt}%
- \or\psdice@i{1}\psdice@i{2}%
- \or\qdisk(-0.3,0.3){3pt}\qdisk(-0.3,-0.3){3pt}%
- \qdisk(0.3,0.3){3pt}\qdisk(0.3,-0.3){3pt}%
- \or\psdice@i{1}\psdice@i{4}%
- \or\psdice@i{4}\qdisk(-0.3,0){3pt}\qdisk(0.3,0){3pt}%
- \fi}%
- \ignorespaces%
-}}
-%
-% the datafile must be a matrix with
-% /dotmatrix [
-% .....
-% .....
-% ] def
-%
-\def\psMatrixPlot{\pst@object{psMatrixPlot}}
-\def\psMatrixPlot@i#1#2#3{%
- \pst@killglue
- \begingroup
- \begin@SpecialObj%
- \addto@pscode{
- (#3) run % load the data file
- \psk@dotsize
- \@nameuse{psds@\psk@dotstyle} %
- /n 0 def % index for element
- 1 1 #1 { % the y loop (outer one)
- /y exch def % save y
- 1 1 #2 { % the x loop (inner one)
- /x exch def % save x
- dotmatrix n get % get value from matrix
- dup 0 gt { % test if > 0
- x \pst@number\psxunit mul
- \ifPst@ChangeOrder #1 y sub 1 add \else y \fi \pst@number\psyunit mul Dot%
- } { pop } ifelse
- /n n 1 add def
- } for
- } for
- }%
- \end@SpecialObj%
- \endgroup%
- \ignorespaces%
-}
-%
-\def\resetOptions{%
- \@zero=0%
- \def\pst@linetype{0}%
- \psset[pstricksadd]{%
- transpalpha=1,
- hooklength=3mm, hookwidth=1mm,
- ArrowFill=true,%
- ArrowInside={}, ArrowInsidePos=0.5,%
- ArrowInsideNo=1, ArrowInsideOffset=0}
- \psset{%
-%%%% pstricks %%%%%%%%
- unit=1cm,%
- swapaxes=false,%
- showpoints=false,%
- border=0pt, bordercolor=white,%
- doubleline=false, doublesep=1.25\pslinewidth,%
- doublecolor=white,%
- shadow=false, shadowsize=3pt, shadowangle=-45, shadowcolor=darkgray,%
- linewidth=.8pt,%
- linecolor=black,%
- maxdashes=11, dash=5pt 3pt, dashadjust=true, %
- dotsep=3pt,%
- linestyle=solid,%
- fillcolor=white,%
- hatchwidth=.8pt, hatchsep=4pt, hatchcolor=black, hatchangle=45,%
- hatchsepinc=0pt,hatchwidthinc=0pt,%
- fillstyle=none,%
- nArrows=2,%
- arrows=-, arrowscale=1, arrowsize=1.5pt 2, arrowlength=1.4, arrowinset=.4,%
- tbarsize=2pt 5,%
- bracketlength=.15, rbracketlength=.15,%
- liftpen=0, linetype=0,%
- gangle=0,%
- curvature=1 .1 0,%
- dotsize=2pt 2,%
- dotangle=0, dotscale=1, dotstyle=*,%
- linearc=0pt,%
- framearc=0,%
- cornersize=relative,%
- dimen=middle,%
- gridwidth=.8pt, griddots=0, gridcolor=black,%
- subgridwidth=.4pt, subgridcolor=gray, subgriddots=0, subgriddiv=5,%
- gridlabels=10pt, gridlabelcolor=black,%
- framesep=3pt, boxsep=true,%
- trimode=U,%
- arcsep=0,radius=.25cm,%
- ref=c,rot=0,labelsep=5pt,refangle=0,%
- intSeparator={,},%
- dicescale=1.0,%
-%%%%%%%%% pst-plot %%%%%%%%%%%%%
- labelFontSize={},%
- StepType=lower, % alternative SumType=upper
- plotstyle=line,plotpoints=50,%
-% barwidth=0.25cm,% individuell set
- ticksize=-4pt 4pt,
- tickstyle=full, ticks=all,%
- subticksize=0.75,subticks=1,tickcolor=black,%
- ticklinestyle=solid,subticklinestyle=solid,%
- subtickcolor=gray,%
- tickwidth=0.5\pslinewidth,subtickwidth=0.25\pslinewidth,%
- labels=all,Ox=0,Dx=1,dx=0,Oy=0,Dy=1,dy=0,%
- xlabelFactor=\relax,ylabelFactor=\relax,%
- showorigin=true,%
- axesstyle=axes,%
- ChangeOrder=false,%
- braceWidth=0.35,bracePos=0.5,%
- arrowscale=1,%
- dashColorI=black,dashColorII=red,dashNo=0.2,linecap=0,%
- xyAxes=true,%
- trigLabels=false,trigLabelBase=0,%
- xDecimals={},yDecimals={},%
- xlogBase={},ylogBase={},%
- logLines=none,%
- ignoreLines=0,%
- nStep=1,nStart=0,nEnd={},%
- xStep=0,yStep=0,xStart={},xEnd={},yStart={},yEnd={},comma=false,%
- plotNo=1,plotNoMax=1,%
- xAxisLabel=x,yAxisLabel=y,%
- yAxisLabelPos={},xAxisLabelPos={},%
- llx=\z@, lly=\z@, urx=\z@, ury=\z@,% prevents rounding errors
- randomPoints=1000,color=false,%
- method={},whichabs={},whichord={},%
- plotfuncx={},plotfuncy={},buildvector=false,
-% algebraic=false, % indivisuelly set
- Derive={},adamsorder=4,%
- VarStep=false, PlotDerivative=none, VarStepEpsilon=default,%
- varsteptol=.001,%
- %%%%%%%%% pst-node %%%%%%%%%%
- lineAngle=0,%
- nodealign=false,%
- href=0,%
- vref=.7ex,%
- framesize=10pt,%
- nodesep=0pt,%
- arm=10pt,%
- offset=0pt,%
- angle=0,%
- arcangle=8,%
- ncurv=.67,%
- loopsize=1cm,%
- boxsize=.4cm,%
- nrot=0,%
- npos=,%
- tpos=0.5,%
- shortput=none,%
- colsep=1.5cm,%
- rowsep=1.5cm,%
- mcol=c,%
- mnode=R,%
- emnode=none
-}}
-%
-\resetOptions
-%
-\catcode`\@=\PstAtCode\relax
-%
-%% END: pstricks-add.tex
-\endinput
-
diff --git a/Master/texmf-doc/tpm/mathmode.tpm b/Master/texmf-doc/tpm/mathmode.tpm
index d966785c345..ec61c9f23ff 100644
--- a/Master/texmf-doc/tpm/mathmode.tpm
+++ b/Master/texmf-doc/tpm/mathmode.tpm
@@ -3,16 +3,16 @@
<rdf:Description about="http://texlive.dante.de/texlive/Documentation/mathmode.zip">
<TPM:Name>mathmode</TPM:Name>
<TPM:Type>Documentation</TPM:Type>
- <TPM:Date>2006/09/27 20:12:06</TPM:Date>
+ <TPM:Date>2006/10/06 10:57:00</TPM:Date>
<TPM:Version></TPM:Version>
<TPM:Creator>karl</TPM:Creator>
<TPM:Title>The mathmode package.</TPM:Title>
<TPM:Description></TPM:Description>
<TPM:Author></TPM:Author>
- <TPM:Size>5508520</TPM:Size>
+ <TPM:Size>5632085</TPM:Size>
<TPM:Build/>
- <TPM:RunFiles size="2274">texmf-doc/tpm/mathmode.tpm</TPM:RunFiles>
- <TPM:DocFiles size="5629811">
+ <TPM:RunFiles size="2322">texmf-doc/tpm/mathmode.tpm</TPM:RunFiles>
+ <TPM:DocFiles size="5609471">
texmf-doc/doc/english/mathmode/Changes
texmf-doc/doc/english/mathmode/EuScript.eps
texmf-doc/doc/english/mathmode/EuScript.pdf
@@ -41,7 +41,6 @@ texmf-doc/doc/english/mathmode/node.eps
texmf-doc/doc/english/mathmode/node.pdf
texmf-doc/doc/english/mathmode/pamath-crop.pdf
texmf-doc/doc/english/mathmode/pazo-crop.pdf
-texmf-doc/doc/english/mathmode/pstricks-add.tex
texmf-doc/doc/english/mathmode/runLaTeX
texmf-doc/doc/english/mathmode/runPDFLaTeX
texmf-doc/doc/english/mathmode/runVTeX
diff --git a/Master/texmf/lists/mathmode b/Master/texmf/lists/mathmode
index c86cd3c378f..4e7904677c5 100644
--- a/Master/texmf/lists/mathmode
+++ b/Master/texmf/lists/mathmode
@@ -26,7 +26,6 @@ texmf-doc/doc/english/mathmode/node.eps
texmf-doc/doc/english/mathmode/node.pdf
texmf-doc/doc/english/mathmode/pamath-crop.pdf
texmf-doc/doc/english/mathmode/pazo-crop.pdf
-texmf-doc/doc/english/mathmode/pstricks-add.tex
texmf-doc/doc/english/mathmode/runLaTeX
texmf-doc/doc/english/mathmode/runPDFLaTeX
texmf-doc/doc/english/mathmode/runVTeX