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% ddphonism
%
% (c) Celia Rubio Madrigal
%
%% 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.
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{ddphonism}
[2019/08/10 v0.1 LaTeX package for twelve-tone matrices, clock diagrams et al.]
\RequirePackage{ifthen}
\RequirePackage{xparse}
\RequirePackage{tikz}
\RequirePackage{xstring}
\RequirePackage{pgfkeys}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Matrices
\usetikzlibrary{matrix}
\ExplSyntaxOn
\DeclareExpandableDocumentCommand{\Evaluation}{m}{\int_eval:n {#1}}
\ExplSyntaxOff
\newcounter{Dfirst}
\newcounter{Dsize}
\newcommand{\DsizeHead}[1]{
\setcounter{Dsize}{0}
\setcounter{Dfirst}{-1}
\foreach \n in {#1}{
\ifnum\theDfirst=-1
\setcounter{Dfirst}{\n}
\fi
\stepcounter{Dsize}
}
}
\newcommand{\Modulo}[1]{
\ifnum#1>\Evaluation{\theDsize-1}
\Evaluation{#1-\theDsize}
\else\ifnum#1<0
\Evaluation{#1+\theDsize}
\else #1
\fi\fi
}
\newcommand{\dmatrix}[1]{
\DsizeHead{#1}
\begin{tikzpicture}
\foreach [count=\nj] \j in {#1} {
\foreach [count=\ni] \i in {#1} {
\draw node at (\ni-0.5,-\nj/2+0.25) {
\Modulo{\Evaluation{\i-\j+\theDfirst}}
};
}
}
\end{tikzpicture}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Diagrams
\usetikzlibrary{shapes,arrows,decorations.markings,shapes.misc}
\tikzstyle ddiagramArrow=[decoration=
{markings,mark=at position 0.25 with
{\arrow[scale=1.25,>=triangle 45]{>}}},
postaction={decorate}]
\newcounter{anterior}
\newcounter{var}
\newcommand{\ddiagram}[3][-1]{
\DsizeHead{#2}
\def\theDDfirst{\Evaluation{\Modulo{\theDfirst}}}
\ifnum #1=-1
\setcounter{var}{\theDDfirst}
\else
\setcounter{var}{#1}
\fi
\begin{tikzpicture}[rotate=360*\thevar/\theDsize,
minimum height=0pt,inner sep=0pt,outer sep=0pt,scale=0.65]
\foreach \x in {0,...,\Evaluation{\theDsize-1}} {
\node at (90-360*\x/\theDsize:2) {\x};
\node (\x) at (90-360*\x/\theDsize:1.6) {};
};
\setcounter{anterior}{-1}
\foreach \xD in {#2}{
\def\x{\Evaluation{\Modulo{\xD}}}
\ifnum \theanterior=\theDDfirst
\draw [style=ddiagramArrow] (\theanterior) -- (\x);
\else \ifnum \theanterior=-1
\else
\draw (\theanterior) -- (\x);
\fi\fi
\setcounter{anterior}{\x}
};
\draw (\theanterior) -- (\theDDfirst);
\node at (0,0) [circle,fill=white] {#3};
\end{tikzpicture}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Dihedral diagrams
\tikzstyle ddihedralArrow=[decoration=
{markings,mark=at position 1 with {\arrow[scale=1.5,>=angle 60]{>}}},
postaction={decorate}]
\pgfkeys{
/ddihedral/.is family, /ddihedral,
default/.style = {t = 0, c = 0, s = 0, v = 0},
t/.estore in = \ddihedralT,
c/.estore in = \ddihedralC,
s/.estore in = \ddihedralS,
v/.estore in = \ddihedralV,
}
\newcommand{\darrows}[1]{
\DsizeHead{#1}
\draw foreach \x in {0,...,\Evaluation{\theDsize-1}} {
(90-360*\x/\theDsize:2.5) node[circle] (\x) {}
};
\foreach \xD [count=\y] in {#1} {
\def\x{\Evaluation{\Modulo{\xD}}}
\draw [style=ddihedralArrow] (90-360*\Evaluation{\y-1}/\theDsize:1.25) -- (\x);
};
}
\newcommand\ddihedral[2][]{
\pgfkeys{/ddihedral, default, #1}
\tikzset{inner sep=0,minimum height=18pt}
\DsizeHead{#2}
\draw foreach \x in {0,...,\Evaluation{\theDsize-1}} {
(\Evaluation{(90+\ddihedralT*360/\theDsize)+(2*\ddihedralS-1)*\x*360/\theDsize}:2.5)
node[very thin,circle,draw] (\x) {\x}
};
\draw foreach \x in {0,...,\Evaluation{\theDsize-1}} {
(\Evaluation{(90-\ddihedralC*360/\theDsize)+(2*\ddihedralV-1)*\x*360/\theDsize}:1.25)
node[very thin,circle,draw] {\x}
};
\darrows{#2}
\node at (0,0) [very thin,draw,circle, fill=white] {\
\ifnum\ddihedralV=0
\ifnum\ddihedralC=0
\ifnum\ddihedralS=0
\ifnum\ddihedralT=0
P
\fi\fi\fi
\else V \fi
\ifnum\ddihedralC=0
\else C$^{\ddihedralC}$ \fi
\ifnum\ddihedralS=0
\else S \fi
\ifnum\ddihedralT=0
\else T$^{\ddihedralT}$ \fi
\ };
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Rows
\newcount\fooo
\long\def\addto#1#2{\expandafter\def\expandafter#1\expandafter{#1#2}}
\newcounter{myDDcntr}
\newcommand{\drow}[1]{
\DsizeHead{#1}
\def\tabledata{} \fooo=\theDsize
\setcounter{myDDcntr}{0}
\loop
\addto\tabledata{\themyDDcntr\stepcounter{myDDcntr} &}
\advance \fooo -1
\ifnum \fooo>1
\repeat
\addto\tabledata{\themyDDcntr \\}
\ensuremath{
\left(\begin{array}{*{\theDsize}c}
\tabledata
\StrSubstitute{#1}{,}{&}\\
\end{array}\right)
}
}
\endinput
%% End of file `ddphonism.sty'.
|
