From c6303e38664a7a78e8f21a4390b69e5aa9cf5c93 Mon Sep 17 00:00:00 2001
From: Norbert Preining <norbert@preining.info>
Date: Fri, 23 Oct 2020 03:02:00 +0000
Subject: CTAN sync 202010230301

---
 macros/latex/contrib/askmaps/askmaps.tex | 870 ++++++++++++++++++++++++++-----
 1 file changed, 733 insertions(+), 137 deletions(-)

(limited to 'macros/latex/contrib/askmaps/askmaps.tex')

diff --git a/macros/latex/contrib/askmaps/askmaps.tex b/macros/latex/contrib/askmaps/askmaps.tex
index 43dac8925d..a94c51148c 100644
--- a/macros/latex/contrib/askmaps/askmaps.tex
+++ b/macros/latex/contrib/askmaps/askmaps.tex
@@ -2,13 +2,19 @@
 %%
 %%   askmaps.tex
 %%
-%%   (c)2013, J.E.J. op den Brouw <J.E.J.opdenBrouw@hhs.nl>
+%%   (c)2020, J.E.J. op den Brouw <J.E.J.opdenBrouw@hhs.nl>
 %%
-%%   document v0.1 - 2013/12/04
+%%   document v0.1  - 2013/12/04
+%%            v0.1a - 2013/12/07
+%%                  - added \karnaughmap example
+%%                  - minor changes in text
+%%            v0.2  - 2020/23/10
+%%                  - added section on how to render covers
+%%                  - changes to the text.
 %%
 
 \documentclass[a4paper,10pt]{ltxdoc}
-\usepackage[a4paper]{geometry}
+\usepackage[a4paper,left=1.5in,right=1.5in,top=1.5in,bottom=1.5in]{geometry}
 
 %% PDF Version and compression...
 \pdfminorversion=5
@@ -24,11 +30,13 @@
 \usepackage{float}
 \usepackage{listings}
 \usepackage{array}
+\usepackage{tikz}
 %% The next lines are commented out by default. If you want these to appear
-%% in the resulting PDF, you have to copy the kvmacros.tex file in the
-%% current directory, uncomment the next lines and LaTex this file.
+%% in the resulting PDF, you have to have the kvmacros.tex somewhere is your
+%% LaTeX search path or have a copy of the kvmacros.tex file in the
+%% current directory. If so, uncomment the next lines and LaTeX this file.
 %%
-%%\input kvmacros
+\input kvmacros
 
 %% Use askmaps
 \usepackage{askmaps}
@@ -40,7 +48,7 @@
   linkcolor=blue,
   pdftitle={American Style Karnaugh Maps},
   pdfauthor={J.E.J op den Brouw},
-  pdfsubject={Drawing 2, 3, 4 and 5 variables K-maps},
+  pdfsubject={Drawing 1, 2, 3, 4 and 5 variables K-maps},
   pdfkeywords={K-maps, Karnaugh maps, Digital Design}
 }
 \definecolor{red}{rgb}{1,0,0}
@@ -51,8 +59,13 @@
 \definecolor{lightgray}{rgb}{0.95,0.95,0.95}
 
 %% Making captions nicer...
-\usepackage[font=footnotesize,format=plain,labelfont=bf,up,textfont=it,up]
-        {caption}
+\usepackage[font=footnotesize,format=plain,labelfont=bf,textfont=sl]{caption}
+\usepackage[labelformat=simple,font=footnotesize,format=plain,labelfont=bf,textfont=sl]{subcaption}
+\captionsetup[figure]{justification=centering,singlelinecheck=off,belowskip=-1ex}
+\captionsetup[table]{justification=centering,singlelinecheck=off,skip=1ex}
+\captionsetup[subtable]{justification=centering,singlelinecheck=off,skip=3pt}
+\renewcommand\thesubfigure{(\alph{subfigure})}
+\renewcommand\thesubtable{(\alph{subtable})}
 
 %% Set up the LaTex language layout
 \lstset{ %
@@ -63,7 +76,7 @@
   numberstyle=\tiny\color{gray},
   stepnumber=1,
   numbersep=5pt,
-  backgroundcolor=\color{lightgray},
+  %backgroundcolor=\color{lightgray},
   showspaces=false,
   showstringspaces=false,
   showtabs=false,
@@ -79,7 +92,7 @@
 }
 
 %% Need one more footnote...
-%% Display package name boldface
+%% Display package name teletype...
 \renewcommand*{\thefootnote}{\fnsymbol{footnote}}
 \newcommand\Package[1]{\texttt{#1}}
 
@@ -123,20 +136,21 @@
 
 %% No indent
 \setlength{\parindent}{0pt}
+\setlength{\parskip}{1ex plus 0.5ex minus 0.2ex}
 
 %% At last, the document...
 \begin{document}
 \title{The \Package{askmaps} package}
 \author{Jesse op den Brouw\thanks{The Hague University of Applied Sciences,
-        \url{J.E.J.opdenBrouw@hhs.nl}}}
+       \href{mailto:J.E.J.opdenBrouw@hhs.nl}{J.E.J.opdenBrouw@hhs.nl}}}
 \date{\askmapsdate, version \askmapsversion}
 \maketitle
 \setcounter{footnote}{1}
 
 \section{Abstract}
 \label{sec:abstract}
-This package generates configurable American style Karnaugh maps for
-2, 3, 4 and 5 variables as can be found in numerous books on digital design.
+This package generates configurable American style Karnaugh maps for 1, 2, 3,
+4 and~5 variables as can be found in numerous books on digital design.
 Note that there are many ways to draw correct Karnaugh
 maps\footnote{E.g., a four-variable Karnaugh map can be drawn in 384 different
 and correct ways} and this packages creates only one version.
@@ -144,63 +158,77 @@ and correct ways} and this packages creates only one version.
 There are more packages and examples that produce Karnaugh maps. A highly
 recommendable package is written by Andreas W. Wieland\footnote{See
 \url{http://www.ctan.org/tex-archive/macros/latex/contrib/karnaugh}}.
-However, this package creates maps that are frequently found in dutch
-textbooks\footnote{E.g. Digitale Techniek, A.P. Thijssen}
-but not in American textbooks.
+This package creates maps that are frequently found in European
+textbooks\footnote{E.g. Digitale Techniek, A.P. Thijssen} but not in American
+textbooks.
 
 \section{Overview}
 \label{sec:overview}
-After \cmdinvoke{usepackage}{askmaps}, four new commands are loaded
-to draw Karnaugh maps using the picture environment:
+After \cmdinvoke{usepackage}[\textit{option}]{askmaps}, siz new commands are
+available to draw Karnaugh maps:% using the \Package{picture} environment:
 \begin{table}[H]
-\begin{tabular}{p{2cm}p{10cm}}
-\cs{askmapii}  & draws a two-variable Karnaugh map \\ 
-\cs{askmapiii} & draws a three-variable Karnaugh map \\ 
-\cs{askmapiv} & draws a four-variable Karnaugh map \\ 
-\cs{askmapv} & draws a five-variable Karnaugh map \\
+\begin{tabular}{p{2.8cm}p{10cm}}
+\cs{askmapi}      & draws a one-variable Karnaugh map \\ 
+\cs{askmapii}     & draws a two-variable Karnaugh map \\ 
+\cs{askmapiii}    & draws a three-variable Karnaugh map \\ 
+\cs{askmapiiialt} & draws an alternate style three-variable Karnaugh map \\ 
+\cs{askmapiv}     & draws a four-variable Karnaugh map \\ 
+\cs{askmapv}      & draws a five-variable Karnaugh map \\
 \end{tabular} 
 \end{table}
 
 These commands have five parameters which have the same meaning for each
-commands. This will be explained in section \ref{sec:outline}. As can be seen
-later on, much of the parameters can include typesetting commands such as
+commands. This will be explained in Section \ref{sec:outline}. As can be seen
+later on, many of the parameters can include typesetting commands such as
 coloring and math notation.
 
-The new dimension \cs{askmapunitlength} is available and specifies
-the length of the squares. It defaults to 1 cm (about 0.4 in) which is a good
-value for 12 pt font size.
+The new dimension \cs{askmapunitlength} is available and specifies the length
+and width of the squares. It defaults to 1 cm (about 0.4 in) which is good in
+combination with a~12 pt font size.
 
 The global definitions \cs{askmapsversion} and \cs{askmapsdate} will render
 to the current version and date respectively.
 
+There are three commands that control the size (and shape) of the rendered
+text. The \cs{askmapindexsize} command sets the size and shape of the index
+number, the default is \cs{scriptsize}\cs{slshape}. The \cs{askmapcontentsize} command sets
+the size of the contents of the cells. It defaults to \cs{normalsize}. The
+\cs{askmapbitcombinationsize} sets the the size of the bit combinations
+on the edges of the Karnaugh map. It defaults to \cs{footnotesize}. These
+sizes can be changed using the appropriate \cs{renewcommand} command.
+
+The command \cs{askmapvarsep} contains the length of the variable separator
+line in de Karnaugh maps. The default is 0.7. Note that it is merely a
+number, not a length. It can be altered using the appropriate
+\cs{renewcommand} command. See Section~\ref{sec:use} for more details.
+
 The command \cs{askmap} provides drop-in replacement for the \cs{karnaughmap}
-command available in the \Package{kvdocs} package (although it is not really a
-package) and internally calls one of the four
-commands, but there are some drawbacks on using this command.
+command available in the \Package{kvmacros} package and internally calls one
+of the five commands (the \cs{askmapiiialt} command is not supported), but
+there are some drawbacks on using this command.
 
-\newpage
 \section{Outline}
 \label{sec:outline}
-All four functions take the form
-\cs{askmap<romannumber>\{\#1\}\{\#2\}\{\#3\}\{\#4\}\{\#5\}}
-where \texttt{<romannumber>} is one of \texttt{ii}, \texttt{iii}, \texttt{iv}
-or \texttt{v} and the parameters \texttt{\#1} to \texttt{\#5} have the
-following meaning:
+%% 2013/12/07: functions -> commands
+All six commands take the form
+\cs{askmap<spec>\{\#1\}\{\#2\}\{\#3\}\{\#4\}\{\#5\}} where \texttt{<spec>} is
+one of \texttt{i}, \texttt{ii}, \texttt{iii}, \texttt{iiialt}, \texttt{iv} or
+\texttt{v} and the parameters \texttt{\#1} to \texttt{\#5} have the following
+meaning:
 
 \begin{itemize}
-	\itemsep0pt
-	%\labelsep0pt
-	\item[\texttt{\#1}] is the function output variable.
-	\item[\texttt{\#2}] is a list of function input variables.
-	\item[\texttt{\#3}] contains a list op options, see table below.
-	\item[\texttt{\#4}] is a list of function values.
-	\item[\texttt{\#5}] can be used to display user defined picture commands.
+\itemsep0pt
+\item[\texttt{\#1}] is the function output variable.
+\item[\texttt{\#2}] is a list of function input variables.
+\item[\texttt{\#3}] contains a list op options, see table below.
+\item[\texttt{\#4}] is a list of function values.
+\item[\texttt{\#5}] can be used to display user defined picture commands.
 \end{itemize}
 
 If a parameter contains fewer elements than needed, you will get empty spaces
 in the Karnaugh map. If a parameter contains more elements than needed, all
 elements in excess are not printed. In both situations, you will not be
-notified.\newline
+notified.
 
 The third parameter contains a list of options as explained below.
 \begin{itemize}
@@ -210,10 +238,11 @@ The third parameter contains a list of options as explained below.
     \item[\texttt{I}] no index numbers are printed (default).
     \item[\texttt{f}] function output variable is printed at the upper right
                       corner of the Karnaugh map together with a small line
-                      extending from the square to the function name (default).
-    \item[\texttt{F}] no function output variable is printed.
+                      extending from the square to the function
+                      name (default, see Package Option Handling).
+    \item[\texttt{F}] no function output variable is printed
     \item[\texttt{b}] bit combinations of the function input variables are
-                      printed on top of the columns and at the right of the the
+                      printed on top of the columns and at the left of the the
                       rows (default).
     \item[\texttt{B}] bit combinations are not printed.
     \item[\texttt{c}] shortcut for \texttt{ifb}.
@@ -222,13 +251,21 @@ The third parameter contains a list of options as explained below.
 
 Options are evaluated from left to right, so a combination of \texttt{iI} will
 yield in no index numbers being printed. Please note that macros are not
-expanded to a list of tokens but to one token.\newline
+expanded to a list of tokens but to one token.
+
+%%%%If you look at American style Karnaugh maps, you will see that the function
+%%%%output variable usually isn't printed with the map, but is printed below or
+%%%%besides the map (if it is printed at all). This behavior can be simulated by
+%%%%using the \texttt{F} option, in which case the first parameter (the function
+%%%%output variable) may be left unused.
 
-If you look at American style Karnaugh maps, you will see that the function
-output variable usually isn't printed with the map, but is printed below the
-map (if it is printed at all). This behavior can be simulated by using the
-\texttt{F} option, in which case the first parameter (the function output
-variable) may be left unused.
+\section{Package Option Handling}
+\label{sec:optionhandling}
+As of version 0.2, the option \texttt{disablef} disables the default rendering
+of the function output variable at the upper right corner of the Karnaugh map
+together with a small line extending from the square to the function name
+(option \texttt{f} in the third parameter). This is more common found in
+American textbooks.
 
 
 \section{Use}
@@ -238,40 +275,41 @@ a and b and the function values 1, 0, 1 and 1 respectively.
 
 \begin{table}[H]
 \centering
-\caption{Truth table}
+\caption{A truth table.}
 \begin{tabular}{cc|c}
-\hline 
+%\hline 
 a & b & S \\ \hline 
 0 & 0 & 1 \\ 
 0 & 1 & 0 \\ 
 1 & 0 & 1 \\ 
 1 & 1 & 1 \\ 
-\hline 
+%\hline 
 \end{tabular} 
 \end{table}
 
-Using the command
+The command
 \begin{verbatim}
   \askmapii{S}{ab}{i}{1011}{}
 \end{verbatim}
 will produce the two-variable Karnaugh map as presented in
-figure~\ref{fig:askmapii}.
+Figure~\ref{fig:askmapii}.
 \begin{figure}[h]
 \centering
 \askmapunitlength=0.88cm
 \askmapii{S}{ab}{i}{1011}{}%
-\caption{Karnaughmap for two variables}
+\caption{Karnaugh map for two variables.}
 \label{fig:askmapii}
 \end{figure}
 
 As you can see, the function output variable is printed top right of the
 Karnaugh map, with a small line from the variable to the top right square.
 The most significant function input variable is printed on the top left just
-above the small line extending from the top left square. The least significant
+above the small line extending from the top left square (the variable
+separator line). The least significant
 function input variable is printed just below that line. The bit combinations
-for the most significant function input variable is printed on top of the
+for the most significant function input variables are printed on top of the
 columns, the bit combinations of the least significant function input variable
-is printed on the left of the rows. You can see how the function values are
+are printed left of the rows. You can see how the function values are
 placed in the squares by observing the small index numbers in the lower left
 corners of the squares.
 \medskip
@@ -281,18 +319,36 @@ The command
   \askmapiii{S}{abc}{}{10110110}{}
 \end{verbatim}
 will produce a three-variable Karnaugh map as presented in
-figure~\ref{fig:askmapiii}. In this case, the index numbers are not printed.
+Figure~\ref{fig:askmapiii}. In this case, the index numbers are not printed.
 
 \begin{figure}[H]
 \centering
 \askmapunitlength=0.88cm
 \askmapiii{S}{abc}{}{10110110}{}%
-\caption{Karnaugh map for three variables}
+\caption{Karnaugh map for three variables.}
 \label{fig:askmapiii}
 \end{figure}
 
-Let's draw a Karnaugh map for a logic function with four inputs and one output.
-The output will become logic 1 if three or four inputs are logic 1, otherwise
+Sometimes you need a three-variable Karnaugh map that is printed in the
+vertical direction. It will leave you room to print accompanying text to
+the left or right of the map. The command
+
+\begin{verbatim}
+  \askmapiiialt{S}{abc}{}{10110110}{}
+\end{verbatim}
+will produce the vertical oriented version of the three-variable Karnaugh map
+as can been seen in Figure~\ref{fig:askmapiiialt}.
+
+\begin{figure}[H]
+\centering
+\askmapunitlength=0.88cm
+\askmapiiialt{S}{abc}{}{10110110}{}%
+\caption{Vertical version of the Karnaugh map for three variables.}
+\label{fig:askmapiiialt}
+\end{figure}
+
+Let's draw a Karnaugh map for a logic function with four inputs.
+The output will become logic~1 if three or four inputs are logic 1, otherwise
 the output is logic 0. (Of course you can set up a truth table first; this is
 left as an exercise to the reader).
 The command 
@@ -300,13 +356,13 @@ The command
   \askmapiv{S}{abcd}{}{0000000100010111}{}
 \end{verbatim}
 will produce a four-variable Karnaugh map for the given logic function and is
-presented in figure~\ref{fig:askmapiv}.
+presented in Figure~\ref{fig:askmapiv}.
 
 \begin{figure}[H]
 \centering
 \askmapunitlength=0.88cm
-  \askmapiv{S}{abdc}{}{0000000100010111}{}
-\caption{Karnaugh map for four variables}
+  \askmapiv{S}{abcd}{}{0000000100010111}{}
+\caption{Karnaugh map for four variables.}
 \label{fig:askmapiv}
 \end{figure}
 
@@ -314,17 +370,17 @@ Using the command
 \begin{verbatim}
   \askmapv{S}{abcde}{}{00101101010010111011110011101011}{}
 \end{verbatim}
-will produce a five-variable Karnaugh map as shown in figure \ref{fig:askmapv}.
+a five-variable Karnaugh map is produced as shown in Figure~\ref{fig:askmapv}.
 
 \begin{figure}[H]
 \centering
 \askmapunitlength=0.88cm
   \askmapv{S}{abcde}{}{00101101010010111011110011101011}{}
-\caption{Karnaugh map for five variables}
+\caption{Karnaugh map for five variables.}
 \label{fig:askmapv}
 \end{figure}
 
-Of course you can do a lot more with the parameters of the commands. You
+Of course you can do a lot more with the arguments of the commands. You
 can use inline math to produce sophisticated variable names, you can
 use coloring for the function values. However, please note that the second
 and fourth parameter act as a list of tokens, so you have to use braces to
@@ -343,77 +399,518 @@ will not work. You have to write
 \end{verbatim}
 
 The fifth parameter can be used to supply user created picture commands
-such as dashed rectangles of ovals to emphasize the simplifications
-in the function. Note that the origin
-of the picture (0,0) is at the lower left corner of the lower left square.
-Section \ref{sec:examples} shows some examples.
+such as dashed rectangles or ovals to emphasize the simplifications in the
+function. Note that the origin of the picture (0,0) is at the lower left
+corner of the lower left square. Sections~\ref{sec:drawing} and~%
+\ref{sec:examples} show some examples.
 \bigskip
 
-The size of the indexes is scriptsize, the size of the bit combinations
-on the edges of the Karnaugh maps is footnotesize. All other text is
-in normalsize. Note that there are no commands to change the font sizes
-in the Karnaugh diagrams.
+%%%The size of the indexes is scriptsize, the size of the bit combinations
+%%%on the edges of the Karnaugh maps is footnotesize. All other text is
+%%%in normalsize. Note that there are no commands to change the font sizes
+%%%in the Karnaugh maps.
+%%%\bigskip
 
 
 The command \cs{askmap} provides a drop-in replacement for the command
 \cs{karnaughmap} from the Karnaugh package. The command
 \begin{verbatim}
-  \askmap{4}{F}{abcd}{0100101010100011}{}
+  \askmap{4}{S}{abcd}{0100101010100011}{}
 \end{verbatim}
-produces the Karnaugh map in figure \ref{fig:askmap}.
+produces the Karnaugh map in Figure \ref{fig:askmap}.
 \begin{figure}[H]
 \centering
 \askmapunitlength=0.88cm
-  \askmap{4}{F}{abcd}{0100101010100011}{}
-\caption{Karnaugh map using drop-in replacement}
+  \askmap{4}{S}{abcd}{0100101010100011}{}
+\caption{Karnaugh map using drop-in replacement.}
 \label{fig:askmap}
 \end{figure}
 
-Only Karnaugh maps of two to five variables are supported, any other number
-will trigger a warning. Please note that the \cs{kvindex}, \cs{kvindexsize}
-and \cs{kvcontentsize} commands are not supported.
-\medskip
+Note that when using this command the output function variable is always
+printed.
+
+Only Karnaugh maps of one to five variables are supported, any other number
+will trigger a warning. Please note that \cs{kvindex} and \cs{kvnoindex} are
+supported as can be seen in Figure~\ref{fig:karnaughmapindex}, but
+\cs{kvindexsize} and \cs{kvcontentsize} commands are not supported.
+\begin{verbatim}
+  \kvindex
+  \askmap{4}{f(a,b,c,d):}{abcd}{1110011001100110}{}
+\end{verbatim}
+\begin{figure}[H]
+\centering
+\askmapunitlength=0.88cm
+  \kvindex
+  \askmap{4}{f(a,b,c,d):}{abcd}{1110011001100110}{}
+\caption{Karnaugh map using the \Package{kvmacros} package.}
+\label{fig:karnaughmapindex}
+\end{figure}
 
 %% The next lines are commented out by default. If you want these to appear
 %% in the resulting PDF, you have to copy the kvmacros.tex file in the
 %% current directory, uncomment the next lines and LaTex this file.
 %%
-%%The packages \Package{kvmacros} and \Package{askmaps} can be used in the same
-%%document.
-%%\begin{figure}[H]
-%%\centering
-%%  \karnaughmap{4}{f(a,b,c,d):}{abcd}{1110011001100110}{}
-%%\caption{Karnaugh map using the \Package{kvmacros} package}
-%%\label{fig:karnaughmap}
-%%\end{figure}
+The packages \Package{kvmacros} and \Package{askmaps} can be used in the same
+document as shown in Figure \ref{fig:karnaughmapnoindex}.
+\begin{verbatim}
+  \kvnoindex
+  \karnaughmap{4}{f(a,b,c,d):}{abcd}{1110011001100110}{}
+\end{verbatim}
+\begin{figure}[H]
+\centering
+  \kvnoindex
+  \karnaughmap{4}{f(a,b,c,d):}{abcd}{1110011001100110}{}
+\caption{Karnaugh map using the \Package{kvmacros} package.}
+\label{fig:karnaughmapnoindex}
+\end{figure}
 
-\newpage
+The lenght of the line separating the input variables can be set to a
+different value as shown in Figure~\ref{fig:difflenvarsep}.
+
+\begin{verbatim}
+  \renewcommand{\askmapvarsep}{0.6}
+  \askmapiii{S}{abc}{}{00111010}{}
+  \renewcommand{\askmapvarsep}{0.9}
+  \askmapiii{F}{xyz}{}{11111010}{}
+\end{verbatim}
+\begin{figure}[H]
+\centering
+\renewcommand{\askmapvarsep}{0.6}
+\askmapiii{S}{abc}{}{00111010}{}
+\renewcommand{\askmapvarsep}{0.9}
+\askmapiii{F}{xyz}{}{11111010}{}
+\caption{Different lengths of the variable separator line.}
+\label{fig:difflenvarsep}
+\end{figure}
+
+
+
+\section{Drawing covers and more}
+\label{sec:drawing}
+One of the uses of Karnaugh maps is to simplify logic functions. The
+simplifications are usually shown as (part of) circles or ovals (also squares can be used) combining
+the function values that make up the simplified terms (either product terms
+or sum terms).% These
+
+Let's begin with a simple example. The code is shown below, the map is
+shown in Figure~\ref{fig:kmapsthree}. Note that one function variable is
+covered by all three ovals, hence it looks as if it is covered by a circle.
+
+\begin{minipage}[c]{0.5\textwidth}
+\begin{verbatim}
+  \askmapiii{s}{abc}{}{00010111}{%
+  \put(2.5,1.0){\oval(0.8,1.8)}%
+  \put(2.0,0.5){\oval(1.8,0.8)}%
+  \put(3.0,0.5){\oval(1.8,0.8)}%
+  }%
+\end{verbatim}
+\end{minipage}\hfill%
+\begin{minipage}[c]{0.5\textwidth}
+\begin{figure}[H]
+\centering
+\askmapunitlength=0.88cm
+\askmapiii{s}{abc}{}{00010111}{%
+\put(2.5,1.0){\oval(0.8,1.8)}%
+\put(2.0,0.5){\oval(1.8,0.8)}%
+\put(3.0,0.5){\oval(1.8,0.8)}%
+}%
+\caption{Karnaugh map for three variables.}
+\label{fig:kmapsthree}
+\end{figure}
+\end{minipage}
+\bigskip
+
+Function values on the edges of Karnaugh maps can be combined in one term.
+The values are not adjacent in the maps so covering oval or circle has to be
+split. This is shown in Figure~\ref{fig:kmapsthreemarkedges}. The code is
+shown left. As can be seen, for marking the edges only half a circle has to
+be drawn. Note the lines extending the edges of the map.
+
+
+\bigskip
+\begin{minipage}[c]{0.5\textwidth}
+\begin{verbatim}
+  \askmapiii{s}{abc}{}{11100111}{%
+  \put(2.5,1.0){\oval(0.8,1.8)}%
+  \put(1.0,1.5){\oval(1.8,0.8)}%
+  \put(3.5,0.5){\oval(0.8,0.8)[l]}%
+  \put(3.5,0.9){\line(1,0){0.7}}%
+  \put(3.5,0.1){\line(1,0){0.7}}%
+  \put(0.5,0.5){\oval(0.8,0.8)[r]}%
+  \put(0.5,0.9){\line(-1,0){0.7}}%
+  \put(0.5,0.1){\line(-1,0){0.7}}%
+  }%
+\end{verbatim}
+\end{minipage}\hfill%
+\begin{minipage}[c]{0.5\textwidth}
+\vspace*{-3\baselineskip}
+\begin{figure}[H]
+\centering
+\askmapiii{s}{abc}{}{11100111}{%
+\put(2.5,1.0){\oval(0.8,1.8)}%
+\put(1.0,1.5){\oval(1.8,0.8)}%
+\put(3.5,0.5){\oval(0.8,0.8)[l]}%
+\put(3.5,0.9){\line(1,0){0.7}}%
+\put(3.5,0.1){\line(1,0){0.7}}%
+\put(0.5,0.5){\oval(0.8,0.8)[r]}%
+\put(0.5,0.9){\line(-1,0){0.7}}%
+\put(0.5,0.1){\line(-1,0){0.7}}%
+}%
+\caption{Example of how to mark edges.}
+\label{fig:kmapsthreemarkedges}
+\end{figure}
+\end{minipage}
+\bigskip
+
+Making ``square'' ovals doesn't always produce a good result as can be seen
+in Figure~\ref{fig:kmapsquareoval}. The column second to the right seems to
+be covered by it's own oval.
+
+\bigskip
+\begin{minipage}[c]{0.5\textwidth}
+\begin{verbatim}
+  \askmapiii{s}{abc}{}{00111111}{%
+  \put(2.5,1.0){\oval(0.8,1.8)[rb]}%
+  \put(2.5,1.0){\oval(0.8,1.8)[rt]}%
+  \put(1.5,1.0){\oval(0.8,1.8)[lb]}%
+  \put(1.5,1.0){\oval(0.8,1.8)[lt]}%
+  \put(1.5,1.9){\line(1,0){1.0}}%
+  \put(1.5,0.1){\line(1,0){1.0}}%
+  \put(3.5,1.0){\oval(0.8,1.8)[rb]}%
+  \put(3.5,1.0){\oval(0.8,1.8)[rt]}%
+  \put(2.5,1.0){\oval(0.8,1.8)[lb]}%
+  \put(2.5,1.0){\oval(0.8,1.8)[lt]}%
+  \put(2.5,1.9){\line(1,0){1.0}}%
+  \put(2.5,0.1){\line(1,0){1.0}}%
+  }%
+\end{verbatim}
+\end{minipage}\hfill%
+\begin{minipage}[c]{0.5\textwidth}
+\vspace*{-3\baselineskip}
+\begin{figure}[H]
+\centering
+\askmapiii{s}{abc}{}{00111111}{%
+\put(2.5,1.0){\oval(0.8,1.8)[rb]}% the square oval
+\put(2.5,1.0){\oval(0.8,1.8)[rt]}% in the middle
+\put(1.5,1.0){\oval(0.8,1.8)[lb]}% of the map
+\put(1.5,1.0){\oval(0.8,1.8)[lt]}%
+\put(1.5,1.9){\line(1,0){1.0}}%
+\put(1.5,0.1){\line(1,0){1.0}}%
+\put(3.5,1.0){\oval(0.8,1.8)[rb]}% the square oval
+\put(3.5,1.0){\oval(0.8,1.8)[rt]}% on the right
+\put(2.5,1.0){\oval(0.8,1.8)[lb]}% of the map
+\put(2.5,1.0){\oval(0.8,1.8)[lt]}%
+\put(2.5,1.9){\line(1,0){1.0}}%
+\put(2.5,0.1){\line(1,0){1.0}}%
+}%
+\caption{Example of bad use of ovals.}
+\label{fig:kmapsquareoval}
+\end{figure}
+\end{minipage}
+\bigskip
+
+
+
+
+
+Let's try a four-variable map, see Figure~\ref{fig:kmapsthreemarkedges2}
+and accompanying code. Here we have deliberately used an oval with a
+bigger size (see code line marked \textasteriskcentered) otherwise it will
+interfere with the covering of the lower left and right edges. An example
+of good use of a ``square'' oval can be found in
+Figure~\ref{fig:kmapforfourvarcorner}.
+
+\bigskip
+\begin{minipage}[c]{0.5\textwidth}
+\begin{verbatim}
+  \askmapiv{s}{abcd}{}{0111010001110111}{%
+  \put(2.0,2.5){\oval(3.8,0.8)}%
+  \put(0.5,1.0){\oval(0.8,1.8)[rb]}%
+  \put(0.5,1.0){\oval(0.8,1.8)[rt]}%
+  \put(0.5,1.9){\line(-1,0){0.7}}%
+  \put(0.5,0.1){\line(-1,0){0.7}}%
+  \put(3.0,1.0){\oval(1.8,1.8)}% (*)
+  \put(3.5,1.0){\oval(0.8,1.8)[lb]}%
+  \put(3.5,1.0){\oval(0.8,1.8)[lt]}%
+  \put(3.5,1.9){\line(1,0){0.7}}%
+  \put(3.5,0.1){\line(1,0){0.7}}%
+  }%
+\end{verbatim}
+\end{minipage}\hfill%
+\begin{minipage}[c]{0.5\textwidth}
+\vspace*{-2\baselineskip}
+\begin{figure}[H]
+\centering
+\askmapiv{s}{abcd}{}{0111010001110111}{%
+\put(2.0,2.5){\oval(3.8,0.8)}%
+\put(0.5,1.0){\oval(0.8,1.8)[rb]}%
+\put(0.5,1.0){\oval(0.8,1.8)[rt]}%
+\put(0.5,1.9){\line(-1,0){0.7}}%
+\put(0.5,0.1){\line(-1,0){0.7}}%
+\put(3.0,1.0){\oval(1.8,1.8)}%
+\put(3.5,1.0){\oval(0.8,1.8)[lb]}%
+\put(3.5,1.0){\oval(0.8,1.8)[lt]}%
+\put(3.5,1.9){\line(1,0){0.7}}%
+\put(3.5,0.1){\line(1,0){0.7}}%
+}%
+\caption{Example of how to mark edges.}
+\label{fig:kmapsthreemarkedges2}
+\end{figure}
+\end{minipage}
+\bigskip
+
+
+
+Every textbook on using Karnaugh maps shows how to combine the corners of a
+four-variable map. The complete code is shown below. The result is shown in
+Figure~\ref{fig:kmapforfourvarcorner}. Each corner marking
+consists of three drawing command: two lines (to the left, right up or
+down) and one (part of a) oval (right-bottom, left-bottom, right-top
+and right-bottom).
+
+
+\begin{verbatim}
+  \begin{figure}[H]
+  \centering
+  \askmapiv{s}{abcd}{}{1010000010100000}{%
+  \put(0.5,3.5){\oval(0.8,0.8)[rb]}% left-top
+  \put(0.5,3.1){\line(-1,0){0.7}}%
+  \put(0.9,3.5){\line(0,1){0.7}}%
+  \put(3.5,3.5){\oval(0.8,0.8)[lb]}% right-top
+  \put(3.5,3.1){\line(1,0){0.7}}%
+  \put(3.1,3.5){\line(0,1){0.7}}%
+  \put(0.5,0.5){\oval(0.8,0.8)[rt]}% left-bottom
+  \put(0.5,0.9){\line(-1,0){0.7}}%
+  \put(0.9,0.5){\line(0,-1){0.7}}%
+  \put(3.5,0.5){\oval(0.8,0.8)[lt]}% right-bottom
+  \put(3.5,0.9){\line(1,0){0.7}}%
+  \put(3.1,0.5){\line(0,-1){0.7}}%
+  \put(2.5,2.0){\oval(0.8,1.8)[rb]}% the square oval
+  \put(2.5,2.0){\oval(0.8,1.8)[rt]}% in the middle
+  \put(1.5,2.0){\oval(0.8,1.8)[lb]}% of the map
+  \put(1.5,2.0){\oval(0.8,1.8)[lt]}%
+  \put(1.5,2.9){\line(1,0){1.0}}%
+  \put(1.5,1.1){\line(1,0){1.0}}%
+  }%
+  \caption{The corners of the Karnaugh map are connected.}
+  \label{fig:kmapforfourvarcorner}
+  \end{figure}
+\end{verbatim}
+
+\begin{figure}[H]
+\centering
+\askmapiv{s}{abcd}{}{1010010110100101}{%
+\put(0.5,3.5){\oval(0.8,0.8)[rb]}% left-top
+\put(0.5,3.1){\line(-1,0){0.7}}%
+\put(0.9,3.5){\line(0,1){0.7}}%
+\put(3.5,3.5){\oval(0.8,0.8)[lb]}% right-top
+\put(3.5,3.1){\line(1,0){0.7}}%
+\put(3.1,3.5){\line(0,1){0.7}}%
+\put(0.5,0.5){\oval(0.8,0.8)[rt]}% left-bottom
+\put(0.5,0.9){\line(-1,0){0.7}}%
+\put(0.9,0.5){\line(0,-1){0.7}}%
+\put(3.5,0.5){\oval(0.8,0.8)[lt]}% right-bottom
+\put(3.5,0.9){\line(1,0){0.7}}%
+\put(3.1,0.5){\line(0,-1){0.7}}%
+\put(2.5,2.0){\oval(0.8,1.8)[rb]}% the square oval
+\put(2.5,2.0){\oval(0.8,1.8)[rt]}% in the middle
+\put(1.5,2.0){\oval(0.8,1.8)[lb]}% of the map
+\put(1.5,2.0){\oval(0.8,1.8)[lt]}%
+\put(1.5,2.9){\line(1,0){1.0}}%
+\put(1.5,1.1){\line(1,0){1.0}}%
+}%
+\caption{The corners of the Karnaugh map are connected.}
+\label{fig:kmapforfourvarcorner}
+\end{figure}
+
+
+When writing a textbook on the use of Karnaugh maps, it sometimes helps if
+a cover is accompanied with the term it covers.
+Below is a fine example of explaining the simplification of a logic function
+by showing the product term at each cover. The truth table is shown at the
+right.
+
+\begin{verbatim}
+\begin{figure}[H]
+\begin{subfigure}[c]{0.5\textwidth}
+\centering
+\askmapiii{s}{abc}{}{00010111}{%
+\put(2.5,1.0){\oval(0.8,1.8)}%
+\put(3.0,3.0){\makebox(0,0){$a\cdot b$}}%
+\put(3.0,2.8){\line(-1,-5.0){0.2}}%
+\put(2.0,0.5){\oval(1.8,0.8)}%
+\put(0.5,-0.8){\makebox(0,0){$b\cdot c$}}%
+\put(0.5,-0.6){\line(1,0.9){0.8}}%
+\put(3.0,0.5){\oval(1.8,0.8)}%
+\put(4.5,-0.8){\makebox(0,0){$a\cdot c$}}%
+\put(4.5,-0.6){\line(-1,0.9){0.8}}%
+}%
+\end{subfigure}%
+\begin{subfigure}[c]{0.5\textwidth}
+\centering
+\begin{tabular}{ccc|c}
+$a$ & $b$ & $c$ & $s$ \\ \hline
+ 0  &  0  &  0  &  0  \\
+ 0  &  0  &  1  &  0  \\
+ 0  &  1  &  0  &  0  \\
+ 0  &  1  &  1  &  1  \\
+ 1  &  0  &  0  &  0  \\
+ 1  &  0  &  1  &  1  \\
+ 1  &  1  &  0  &  1  \\
+ 1  &  1  &  1  &  1  \\
+\end{tabular}
+\end{subfigure}%
+\bigskip\caption{Karnaugh map for three variables.}
+\label{fig:karnaughmajorfunctie}
+\end{figure}
+\end{verbatim}
+
+
+\begin{figure}[H]
+\begin{subfigure}[c]{0.5\textwidth}
+\centering
+\askmapunitlength=0.88cm
+\askmapiii{s}{abc}{}{00010111}{%
+\put(2.5,1.0){\oval(0.8,1.8)}%
+\put(3.0,3.0){\makebox(0,0){$a\cdot b$}}%
+\put(3.0,2.8){\line(-1,-5.0){0.2}}%
+\put(2.0,0.5){\oval(1.8,0.8)}%
+\put(0.5,-0.8){\makebox(0,0){$b\cdot c$}}%
+\put(0.5,-0.6){\line(1,0.9){0.8}}%
+\put(3.0,0.5){\oval(1.8,0.8)}%
+\put(4.5,-0.8){\makebox(0,0){$a\cdot c$}}%
+\put(4.5,-0.6){\line(-1,0.9){0.8}}%
+}%
+\end{subfigure}%
+\begin{subfigure}[c]{0.5\textwidth}
+\centering
+\begin{tabular}{ccc|c}
+$a$ & $b$ & $c$ & $s$ \\ \hline
+ 0  &  0  &  0  &  0  \\
+ 0  &  0  &  1  &  0  \\
+ 0  &  1  &  0  &  0  \\
+ 0  &  1  &  1  &  1  \\
+ 1  &  0  &  0  &  0  \\
+ 1  &  0  &  1  &  1  \\
+ 1  &  1  &  0  &  1  \\
+ 1  &  1  &  1  &  1  \\
+\end{tabular}
+\end{subfigure}%
+\bigskip\caption{Karnaugh map for three variables.}
+\label{fig:karnaughmajorfunction}
+\end{figure}
+
+A very notable feature is when you use Ti\textsl{k}Z. When you use the package with
+
+\begin{verbatim}
+\usepackage{tikz}
+\end{verbatim}
+
+you can use Ti\textsl{k}Z' opacity control to add opaque solid rectangles in the back:
+
+\begin{verbatim}
+\askmapii{F}{xy}{f}{0111}{
+\setlength\fboxsep{0pt}\linethickness{0pt}
+\put(1.1,0.1){\pgfsetfillopacity{0.2}\colorbox{red}{\framebox(0.8,1.8){}}\pgfsetfillopacity{1}}%
+\put(0.1,0.1){\pgfsetfillopacity{0.2}\colorbox{blue}{\framebox(1.8,0.8){}}\pgfsetfillopacity{1}}%
+}
+\end{verbatim}
+
+\askmapii{F}{xy}{f}{0111}{
+\setlength\fboxsep{0pt}\linethickness{0pt}
+\put(1.1,0.1){\pgfsetfillopacity{0.2}\colorbox{red}{\framebox(0.8,1.8){}}\pgfsetfillopacity{1}}%
+\put(0.1,0.1){\pgfsetfillopacity{0.2}\colorbox{blue}{\framebox(1.8,0.8){}}\pgfsetfillopacity{1}}%
+}
+
+\bigskip
+In fact, you can use a \texttt{tikzpicture} environment to use Ti\textsl{k}Z commands
+but you have to set an invisible point to coordinate to (0,0):
+
+\begin{verbatim}
+\askmapii{F}{xy}{f}{0111}{%
+\begin{tikzpicture}[x=\askmapunitlength,y=\askmapunitlength]%
+\draw[draw=none,fill=none] (0,0) -- (0,0); % Set default corner
+\draw[red, ultra thick] (0,0) rectangle (2,2);%
+\end{tikzpicture}%
+}
+\end{verbatim}
+
+\askmapii{F}{xy}{f}{0111}{%
+\begin{tikzpicture}[x=\askmapunitlength,y=\askmapunitlength]%
+\draw[draw=none,fill=none] (0,0) -- (0,0); % Set default corner
+\draw[red,ultra thick] (0,0) rectangle (2,2);%
+\end{tikzpicture}%
+}
+
+
+\section{Additional command}
+The command \cmdinvoke{askmapindexsize} sets the size and typeface of the minterm numbers in the cells. The default definition is set to
+
+\begin{lstlisting}
+\newcommand{\askmapindexsize}{\scriptsize\slshape}
+\end{lstlisting}
+
+The command \cmdinvoke{askmapcontentsize} sets the size and typeface for the cell's contents. The default definition is
+
+\begin{lstlisting}
+\newcommand{\askmapcontentsize}{\normalsize}
+\end{lstlisting}
+
+The command \cmdinvoke{askmapbitcombinationsize} sets the size and typeface for the bit combinations at the top and the left. The default definition is
+
+\begin{lstlisting}
+\newcommand{\askmapbitcombinationsize}{\footnotesize}
+\end{lstlisting}
+
+The command \cmdinvoke{askmapvarsep} sets the relative line length of the variable separator on the left of the Karnaugh map. The default definition is
+
+\begin{lstlisting}
+\newcommand{\askmapvarsep}{0.70}
+\end{lstlisting}
+
+These commands may be changed using the appropriate \cmdinvoke{renewcommand} command.
+
+
+%\newpage
 \section{Examples}
 \label{sec:examples}
 \askmapunitlength=0.88cm
-The Karnaugh maps for two variables: plain, with indexes, without function
-output variable.
+The most simple Karnaugh maps you can make with only one variable.
+\begin{verbatim}
+  \askmapi{s}{a}{i}{00}{}
+  \askmapi{s}{a}{}{01}{}
+  \askmapi{s}{a}{}{10}{}
+  \askmapi{s}{a}{}{11}{}
+\end{verbatim}
+\askmapi{s}{a}{i}{00}{}%
+\askmapi{s}{a}{}{01}{}%
+\askmapi{s}{a}{}{10}{}%
+\askmapi{s}{a}{}{11}{}%
+\bigskip\bigskip
+
+The Karnaugh maps for two variables: plain, with indexes and output
+variable.
 \begin{verbatim}
-  \askmapii{S}{ab}{}{1010}{}
+  \askmapii{S}{ab}{F}{1010}{}
   \askmapii{S}{ab}{i}{1110}{}
-  \askmapii{S}{ab}{F}{1110}{}
+  \askmapii{S}{ab}{}{1110}{}
 \end{verbatim}
-\askmapii{S}{ab}{}{1010}{}
+\askmapii{S}{ab}{F}{1010}{}
 \askmapii{S}{ab}{i}{1110}{}
-\askmapii{S}{ab}{F}{1110}{}
+\askmapii{S}{ab}{}{1110}{}
 \bigskip\bigskip
 
-The Karnaugh maps for three variables: plain, with indexes but without function
+The Karnaugh maps for three variables: plain, with indexes and function
 output variable.
 \begin{verbatim}
-  \askmapiii{S}{abc}{}{00111010}{}
-  \askmapiii{F}{xyz}{iF}{11111010}{}
+  \askmapiii{S}{abc}{F}{00111010}{}
+  \askmapiii{F}{xyz}{i}{11111010}{}
 \end{verbatim}
-\askmapiii{S}{abc}{}{00111010}{}
-\askmapiii{F}{xyz}{iF}{11111010}{}
+\askmapiii{S}{abc}{F}{00111010}{}
+\askmapiii{F}{xyz}{i}{11111010}{}
 \bigskip\bigskip
 
-The Karnaugh maps for four variables: without function output variable, with
+The Karnaugh maps for four variables: plain, with function output variable and
 indexes.
 \begin{verbatim}
   \askmapiv{f}{wxyz}{F}{1110001101000101}{}
@@ -425,19 +922,17 @@ indexes.
 
 You can also do math things by using the known \$ signs... and you can make an
 empty map for your exams...
-\newpage
 \begin{verbatim}
   \askmapii{$S_{0}$}{{$a_{1}$}{$a_{0}$}}{}{1010}{}
-  \askmapii{}{}{}{}{}
+  \askmapii{}{}{F}{}{}
 \end{verbatim}
 \askmapii{$S_{0}$}{{$a_{1}$}{$a_{0}$}}{}{1010}{}
-\askmapii{}{}{}{}{}
+\askmapii{}{}{F}{}{}
 \bigskip\bigskip
 
-You can do the math thing in roman font... and of course you can make a
-\textsl{really} empty map for your exams...
+You can do the math thing in roman upright font... and of course you can make
+a \textsl{really} empty map for your exams...
 \begin{verbatim}
-  \begin{verbatim}
   \askmapiii{$\mathrm{M^{n+1}_{0}}$}{{$\mathrm{M^{n}_{2}}$}{$\mathrm{M^{n}_{1}}$}
             {$\mathrm{M^{n}_{0}}$}}{}{11100111}{}
   \askmapiii{}{}{BF}{}{}
@@ -447,13 +942,48 @@ You can do the math thing in roman font... and of course you can make a
 \askmapiii{}{}{BF}{}{}
 \bigskip\bigskip
 
+The vertical version of the three variable map, used in a \verb|minipage|
+environment:
+\begin{verbatim}
+\begin{minipage}[c]{0.25\textwidth}
+\askmapiiialt{s}{{c$_{in}$}ab}{}{01101001}{}
+\end{minipage}
+\begin{minipage}[c]{0.25\textwidth}
+\askmapiiialt{c$_{out}$}{{c$_{in}$}ab}{}{00010111}{}
+\end{minipage}\hfill%
+\begin{minipage}[c]{0.40\textwidth}
+As you can see on the left, the function of the sum of the full adder cannot
+be simplified as all 1's are placed diagonal in the map. This means that the
+function for the sum can be expressed with XOR ports.
+
+The carry-out function on the otherhand can be simplified.
+\end{minipage}
+\end{verbatim}
+
+\begin{minipage}[c]{0.25\textwidth}
+\askmapiiialt{s}{{c$_{in}$}ab}{}{01101001}{}
+\end{minipage}
+\begin{minipage}[c]{0.25\textwidth}
+\askmapiiialt{c$_{out}$}{{c$_{in}$}ab}{}{00010111}{}
+\end{minipage}\hfill%
+\begin{minipage}[c]{0.40\textwidth}
+As you can see on the left, the function of the sum of the full adder cannot
+be simplified as all 1's are placed diagonal in the map. This means that the
+function for the sum can be expressed with XOR ports.
+
+The carry-out function on the otherhand can be simplified.
+\end{minipage}
+
+\bigskip\bigskip
+
+
 You can do things with don't cares...
 \begin{verbatim}
   \askmapii{S}{ab}{}{011-}{}
-  \askmapiii{S}{abc}{F}{001--10-}{}
+  \askmapiii{S}{abc}{}{001--10-}{}
 \end{verbatim}
 \askmapii{S}{ab}{}{011-}{}
-\askmapiii{S}{abc}{F}{001--10-}{}
+\askmapiii{S}{abc}{}{001--10-}{}
 \bigskip\bigskip
 
 You can use colors and empty function values and variables as values too...
@@ -467,7 +997,7 @@ You can use colors and empty function values and variables as values too...
 \askmapii{S}{ab}{}{{$i_{0}$}{$i_{1}$}{$i_{2}$}{$i_{3}$}}{}
 \bigskip
 
-\newpage
+
 You can set the font to something else ... and use sans math font ...
 \begin{verbatim}
   {\fontfamily{phv}\selectfont%
@@ -492,9 +1022,11 @@ that the origin of the picture (0,0) is at the lower left corner of the lower
 left square. It is also possible to use \cs{raisebox} in conjuction with
 horizontal spacing to adjust the placing of the left (least significant)
 variable(s).
+
+%\newpage
 \begin{verbatim}
   {\fontfamily{phv}\selectfont\sansmath
-  \askmapiii{F}{xy{\raisebox{2ex}{\ \ z}}}{}{11100111}{% raise Z input
+  \askmapiii{F}{xy{\raisebox{2ex}{\ \ z}}}{f}{11100111}{% raise Z input
   \color{red}\put(0.1,0.1){\dashbox{0.1}(0.8,1.8){}}%
   \color{blue}\put(1.1,1.1){\dashbox{0.1}(1.8,0.8){}}%
   \color{darkgreen}\put(2.1,0.1){\dashbox{0.1}(1.8,0.8){}}%
@@ -511,7 +1043,7 @@ variable(s).
   }}%
 \end{verbatim}
 {\fontfamily{phv}\selectfont\sansmath
-\askmapiii{F}{xy{\raisebox{1.5ex}{\ \ z}}}{}{11100111}{% raise Z input
+\askmapiii{F}{xy{\raisebox{1.5ex}{\ \ z}}}{f}{11100111}{% raise Z input
 \color{red}\put(0.1,0.1){\dashbox{0.1}(0.8,1.8){}}%
 \color{blue}\put(1.1,1.1){\dashbox{0.1}(1.8,0.8){}}%
 \color{darkgreen}\put(2.1,0.1){\dashbox{0.1}(1.8,0.8){}}%
@@ -541,19 +1073,21 @@ affect the rendering of the text...
   \askmapii{S}{ab}{}{1011}{}
 \end{verbatim}
 
-{\askmapunitlength=1cm
-\askmapii{S}{ab}{}{1011}{}
-\askmapunitlength=0.88cm
-\askmapii{S}{ab}{}{1011}{}
-\askmapunitlength=0.8cm
-\askmapii{S}{ab}{}{1011}{}
-\askmapunitlength=0.5cm
+{\askmapunitlength=1cm%
+\askmapii{S}{ab}{}{1011}{}%
+\askmapunitlength=0.88cm%
+\askmapii{S}{ab}{}{1011}{}%
+\askmapunitlength=0.8cm%
+\askmapii{S}{ab}{}{1011}{}%
+\askmapunitlength=0.5cm%
 \askmapii{S}{ab}{}{1011}{}}
 \bigskip\bigskip
 
+%\newpage
 An example directly from the Karnaugh package:
 
 \begin{verbatim}
+  \kvnoindex
   \askmap{4}{$f(a,b,c,d):$}{{$a$}{$b$}{$c$}{$d$}}%
   {0110011001100110}%
   {%
@@ -564,26 +1098,88 @@ An example directly from the Karnaugh package:
   }
 \end{verbatim}
 {\askmapunitlength=0.88cm
+\kvnoindex
 \askmap{4}{$f(a,b,c,d):$}{{$a$}{$b$}{$c$}{$d$}}%
 {0110011001100110}%
 {%
-\put(0,2){\oval(1.9,1.9)[r]}
-\put(4,2){\oval(1.9,1.9)[l]}
-\put(2,0){\oval(1.9,1.9)[t]}
-\put(2,4){\oval(1.9,1.9)[b]}
+\put(0,2){\oval(1.8,1.8)[r]}
+\put(4,2){\oval(1.8,1.8)[l]}
+\put(2,0){\oval(1.8,1.8)[t]}
+\put(2,4){\oval(1.8,1.8)[b]}
 }}
 
 \bigskip
-but please note that the ovals do not cover the logic 1's in the Karnaughmap
-because the function values are placed differently.
+but please note that the ovals do not cover the logic 1's in the Karnaugh map
+because the function values are placed in a different order.
+
+One can use Ti\textsl{k}Z. Please note you have to set a default corner to
+(0,0), because Ti\textsl{k}Z will create a bounding box around the the
+\texttt{tikzpicture}:
+
+\begin{verbatim}
+A static hazard can be found by inspecting the Karnaugh map and see if a change
+of minterms will cross implicants:
+
+\askmapiii{F}{xyz}{}{011100100}{%
+\begin{tikzpicture}[x=\askmapunitlength,y=\askmapunitlength]%
+\draw[draw=none,fill=none] (0,0) -- (0,0); % Set default corner
+\draw[red] (0.1,0.1) rectangle (1.9,0.9);
+\draw[blue] (1.1,1.1) rectangle (2.9,1.9);
+\draw[purple,thick,->] (1.6,1.5) to[bend left] (1.6,0.5);
+\end{tikzpicture}%
+}
+
+The function is $F = \overline{x}z + y\overline{z}$. But if the circuit is
+changing from minterm $m_2$ to $m_3$, a static hazard will occur as can
+be seen by the arrow.
+\end{verbatim}
+
+
+A static hazard can be found by inspecting the Karnaugh map and see if a change
+of minterms will cross implicants:
+
+\askmapiii{F}{xyz}{}{011100100}{%
+\begin{tikzpicture}[x=\askmapunitlength,y=\askmapunitlength]%
+\draw[draw=none,fill=none] (0,0) -- (0,0); % Set default corner
+\draw[red] (0.1,0.1) rectangle (1.9,0.9);
+\draw[blue] (1.1,1.1) rectangle (2.9,1.9);
+\draw[purple,thick,->] (1.6,1.5) to[bend left] (1.6,0.5);
+\end{tikzpicture}%
+}
+
+The function is $F = \overline{x}z + y\overline{z}$. But if the circuit is
+changing from minterm $m_2$ to $m_3$, a static hazard will occur as can
+be seen by the arrow.
+
+
+
+\section{Changelog}
+\label{sec:changelog}
+\begin{verbatim}
+  4-dec-2013 -- v0.1
+    initial release
+ 23-oct-2020 -- v0.2
+    added option disablef
+    added askmapi - a K-map for one variable
+    added askmapiiialt - alternate (vertical) version op K-map III
+    added formatting index size, contents size and bit combination size.
+    added support for \kvindex and \nokvindex macros when kvmacros.tex is loaded
+    added formatting for left-placed variables
+    implemented a debug possibility
+    implemented linelength of variable separator
+    resolved an issue with multiple overfull \hbox'es
+    added a section on creating covers
+    added examples with Tikz
+\end{verbatim}
+
 
 \newpage
 \section{The source code}
 \label{sec:sourcecode}
 The source code is pretty straight forward. It uses a lot of picture primitives
 for drawing the maps. The package uses three macros for processing
-variable-length parameters, which were completely reused from the karnaugh
-package.
+variable-length parameters, which were completely reused from the
+\Package{kvmacros} package.
 
 \lstinputlisting{askmaps.sty}
 
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