\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{pmdraw}[2025-01-28 v1.7 pmdraw]
% *------------------------------*
% |2````````````````````````````1|
% |`````____````____`````````````|
% |````|MFMF\ /MFMF|````````````|
% |````|MF|MF\/MF|MF|````````````|
% |````|MF|\MFMF/|MF|_______`````|
% |````|MF|``````|MFMFMFMFMF|````|
% |````|MF|``````|MF|````````````|
% |````|MF|``````|MF|___`````````|
% |``````````````|MFMFMF|````````|
% |``````````````|MF|````````````|
% |``````````````|MF|````````````|
% |``````````````|MF|````````````|
% |4````````````````````````````2|
% *------------------------------*
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Required packages %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% \RequirePackage{datetime}
\RequirePackage{xkeyval}
\RequirePackage{tikz}
\usetikzlibrary{math,decorations.pathreplacing,calligraphy,backgrounds}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Internal control and option commands %
% - loosely ordered alphabetically %
% - includes default values where appropriate %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\pmdraw@braceLabel}{}% Label of brace
\newcommand{\pmdraw@diagSep}{1}% Vertical separation between bottom row of top diagram and top row of bottom diagram in product diagram
\newcommand{\pmdraw@drawAedgesOptions}{}% Draw options for added edges in product diagram
\newcommand{\pmdraw@drawAedgesOptionsDefault}{}% Default draw options for added edges in product diagram
\newcommand{\pmdraw@drawAedges}[2]{% Draws added edges in product diagram from #1 vertex to #2 vertex, assumes #1<#2
\@ifclassloaded{beamer}{% If in beamer
\uncover<\pmdraw@edgesAddedUncover>{% Uncovers added edges
\foreach \x in {#1,...,#2} {% For each vertex in range
\ifnum\value{pmdraw@ifEdgesAdded}=0% If drawing added edges
\draw[dotted,thick,apply style/.expand once=\pmdraw@drawAedgesOptionsDefault,apply style/.expand once=\pmdraw@drawAedgesOptions] (\x,0) -- (\x,-\pmdraw@diagSep);% Draw concatenation edge
\else% If hiding top vertices
\phantom{%
\draw[dotted,thick,apply style/.expand once=\pmdraw@drawAedgesOptionsDefault,apply style/.expand once=\pmdraw@drawAedgesOptions] (\x,0) -- (\x,-\pmdraw@diagSep);% Draw concatenation edge
}%
\fi%
}%
}%
}{% If not in beamer
\foreach \x in {#1,...,#2} {% For each vertex in range
\ifnum\value{pmdraw@ifEdgesAdded}=0% If drawing added edges
\draw[dotted,thick,apply style/.expand once=\pmdraw@drawAedgesOptionsDefault,apply style/.expand once=\pmdraw@drawAedgesOptions] (\x,0) -- (\x,-\pmdraw@diagSep);% Draw concatenation edge
\else% If hiding top vertices
\phantom{%
\draw[dotted,thick,apply style/.expand once=\pmdraw@drawAedgesOptionsDefault,apply style/.expand once=\pmdraw@drawAedgesOptions] (\x,0) -- (\x,-\pmdraw@diagSep);% Draw concatenation edge
}%
\fi%
}%
}%
\pmdraw@AedgesLoop% Restart for loop
}
\newcommand{\pmdraw@drawBraceDrawOptions}{}% Draw options for brace
\newcommand{\pmdraw@drawBraceNodeOptions}{}% Node options for brace
\newcommand{\pmdraw@drawBraceDefault}[3]{% Draws brace a brace starting from #1 vertex to #2 vertex with label #3, assumes #1<#2 - DEFAULT
\ifnum\pmdraw@ifProdDiag=1% If drawing a product diagram or if placing brace above diagram
\draw[
very thick,
decorate,
decoration={calligraphic brace,amplitude=6pt},
apply style/.expand once=\pmdraw@drawBraceDrawOptions
] (#1-0.17,\pmdraw@rowSep+0.5) -- (#2+0.17,\pmdraw@rowSep+0.5)
node[
pos=0.5,
above=6pt,
apply style/.expand once=\pmdraw@drawBraceNodeOptions
] {\(#3\)};% Draw brace on top of diagram
\else% If not drawing a product diagram or if placing brace below diagram
\draw[
very thick,
decorate,
decoration={calligraphic brace,mirror,amplitude=6pt},
apply style/.expand once=\pmdraw@drawBraceDrawOptions
] (#1-0.17,-0.5) -- (#2+0.17,-0.5)
node[
pos=0.5,
below=6pt,
apply style/.expand once=\pmdraw@drawBraceNodeOptions
] {\(#3\)};% Draw brace on bottom of diagram
\fi%
}
\let\pmdraw@drawBrace\pmdraw@drawBraceDefault% Draws brace a brace starting from #1 vertex to #2 vertex with label #3, assumes #1<#2
\newcommand{\pmdraw@drawDotsDrawOptions}{}% Draw options for dots between bricks
\newcommand{\pmdraw@drawDotsNodeOptions}{}% Node options for dots between bricks
\newcommand{\pmdraw@drawDotsDefault}[2]{% Draws dots between bricks at (#1,#2) - DEFAULT
\draw[apply style/.expand once=\pmdraw@drawDotsDrawOptions] (#1,#2) node[apply style/.expand once=\pmdraw@drawDotsNodeOptions] {\(\dots\)};%
}
\let\pmdraw@drawDots\pmdraw@drawDotsDefault% Draws dots between bricks at (#1,#2)
\newcommand{\pmdraw@drawEdgeDrawOptions}{}% Draw options for edge
\newcommand{\pmdraw@drawLabelBDrawOptions}{}% Draw options for label of a vertex in bottom row
\newcommand{\pmdraw@drawLabelBNodeOptions}{}% Node options for label of a vertex in bottom row
\newcommand{\pmdraw@drawLabelBottomDefault}[3]{% For bottom row, draws the label #3 for a vertex at (#1,#2) - DEFAULT
\draw[apply style/.expand once=\pmdraw@drawLabelBDrawOptions] (#1,#2) node[below=6pt,apply style/.expand once=\pmdraw@drawLabelBNodeOptions] {\(#3'\)};%
}
\let\pmdraw@drawLabelBottom\pmdraw@drawLabelBottomDefault% For bottom row, draws the label #3 for a vertex at (#1,#2)
\newcommand{\pmdraw@drawLabelTDrawOptions}{}% Draw options for label of a vertex in top row
\newcommand{\pmdraw@drawLabelTNodeOptions}{}% Node options for label of a vertex in top row
\newcommand{\pmdraw@drawLabelTopDefault}[3]{% For top row, draws the label #3 for a vertex at (#1,#2) - DEFAULT
\draw[apply style/.expand once=\pmdraw@drawLabelTDrawOptions] (#1,#2) node[above=6pt,apply style/.expand once=\pmdraw@drawLabelTNodeOptions] {\(#3\)};%
}
\let\pmdraw@drawLabelTop\pmdraw@drawLabelTopDefault% For top row, draws the label #3 for a vertex at (#1,#2)
\newcommand{\pmdraw@drawLedgesDrawOptions}{}% Draw options for lower non-transversal edges
\newcommand{\pmdraw@drawLedgesDrawOptionsDefault}{}% Default draw options for lower non-transversal edges
\newcommand{\pmdraw@drawLedgesDrawDefault}[2]{% Draws lower non-transversal edge from #1 vertex to #2 vertex, assumes #1<#2 - DEFAULT
\draw[apply style/.expand once=\pmdraw@drawLedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawLedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#1,0) arc (180:90:\pmdraw{edgeHeight});% Draw left arch
\draw[apply style/.expand once=\pmdraw@drawLedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawLedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#1+\pmdraw{edgeHeight},\pmdraw{edgeHeight}) -- (#2-\pmdraw{edgeHeight},\pmdraw{edgeHeight});% Draw straight line
\draw[apply style/.expand once=\pmdraw@drawLedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawLedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#2-\pmdraw{edgeHeight},\pmdraw{edgeHeight}) arc (90:0:\pmdraw{edgeHeight});% Draw right arc
\renewcommand{\pmdraw@drawEdgeDrawOptions}{}% Reset draw options for edge
}
\let\pmdraw@drawLedgesDraw\pmdraw@drawLedgesDrawDefault% Draws lower non-transversal edge from #1 vertex to #2 vertex, assumes #1<#2
\newcommand{\pmdraw@drawNoLabelBa}{-1}% 1st vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelBb}{-1}% 2nd vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelBc}{-1}% 3rd vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelBd}{-1}% 4th vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelBe}{-1}% 5th vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelBf}{-1}% 6th vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelBg}{-1}% 7th vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelBh}{-1}% 8th vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelBi}{-1}% 9th vertex to skip label in bottom row
\newcommand{\pmdraw@drawNoLabelTa}{-1}% 1st vertex to skip label in top row
\newcommand{\pmdraw@drawNoLabelTb}{-1}% 2nd vertex to skip label in top row
\newcommand{\pmdraw@drawNoLabelTc}{-1}% 3rd vertex to skip label in top row
\newcommand{\pmdraw@drawNoLabelTd}{-1}% 4th vertex to skip label in top row
\newcommand{\pmdraw@drawNoLabelTe}{-1}% 5th vertex to skip label in top row
\newcommand{\pmdraw@drawNoLabelTf}{-1}% 6th vertex to skip label in top row
\newcommand{\pmdraw@drawNoLabelTg}{-1}% 7th vertex to skip label in top row
\newcommand{\pmdraw@drawNoLabelTh}{-1}% 8th vertex to skip label in top row
\newcommand{\pmdraw@drawNoLabelTi}{-1}% 9th vertex to skip label in top row
\newcommand{\pmdraw@drawNoVertexBa}{-1}% 1st vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexBb}{-1}% 2nd vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexBc}{-1}% 3rd vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexBd}{-1}% 4th vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexBe}{-1}% 5th vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexBf}{-1}% 6th vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexBg}{-1}% 7th vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexBh}{-1}% 8th vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexBi}{-1}% 9th vertex to skip in bottom row
\newcommand{\pmdraw@drawNoVertexTa}{-1}% 1st vertex to skip in top row
\newcommand{\pmdraw@drawNoVertexTb}{-1}% 2nd vertex to skip in top row
\newcommand{\pmdraw@drawNoVertexTc}{-1}% 3rd vertex to skip in top row
\newcommand{\pmdraw@drawNoVertexTd}{-1}% 4th vertex to skip in top row
\newcommand{\pmdraw@drawNoVertexTe}{-1}% 5th vertex to skip in top row
\newcommand{\pmdraw@drawNoVertexTf}{-1}% 6th vertex to skip in top row
\newcommand{\pmdraw@drawNoVertexTg}{-1}% 7th vertex to skip in top row
\newcommand{\pmdraw@drawNoVertexTh}{-1}% 8th vertex to skip in top row
\newcommand{\pmdraw@drawNoVertexTi}{-1}% 9th vertex to skip in top row
\newcommand{\pmdraw@drawTedgesDrawOptions}{}% Draw options for transversal edges
\newcommand{\pmdraw@drawTedgesDrawOptionsDefault}{}% Default draw options for transversal edges
\newcommand{\pmdraw@drawTedgesDrawDefault}[2]{% Draws transversal edge from #1 vertex in top row to #2 vertex in bottom row - DEFAULT
\ifnum\pmdraw@ifTedgeHorizontal=0% If drawing a straight line edge
\draw[apply style/.expand once=\pmdraw@drawTedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#1,\pmdraw@rowSep) -- (#2,0);% Draw straight line
\else% If transversal edge is drawn horizontally
\ifnum#1>#2% If edge goes from top right to bottom left
\draw[apply style/.expand once=\pmdraw@drawTedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#2,0) arc (180:90:\pmdraw{Tlevel});% Draw bottom arch
\draw[apply style/.expand once=\pmdraw@drawTedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#2+\pmdraw{Tlevel},\pmdraw{Tlevel}) -- (#1-\pmdraw@rowSep+\pmdraw{Tlevel}, \pmdraw{Tlevel});% Draw straight line
\draw[apply style/.expand once=\pmdraw@drawTedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#1-\pmdraw@rowSep+\pmdraw{Tlevel},\pmdraw{Tlevel}) arc (270:360:{\pmdraw@rowSep-\pmdraw{Tlevel}});% Draw top arc
\else% If edge goes from top left to bottom right
\draw[apply style/.expand once=\pmdraw@drawTedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#2,0) arc (0:90:\pmdraw{Tlevel});% Draw bottom arch
\draw[apply style/.expand once=\pmdraw@drawTedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#2-\pmdraw{Tlevel},\pmdraw{Tlevel}) -- (#1+\pmdraw@rowSep-\pmdraw{Tlevel}, \pmdraw{Tlevel});% Draw straight line
\draw[apply style/.expand once=\pmdraw@drawTedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#1+\pmdraw@rowSep-\pmdraw{Tlevel},\pmdraw{Tlevel}) arc (270:180:{\pmdraw@rowSep-\pmdraw{Tlevel}});% Draw top arc
\fi%
\renewcommand{\pmdraw@ifTedgeHorizontal}{0}% Reset flag to default
\fi%
\renewcommand{\pmdraw@drawEdgeDrawOptions}{}% Reset draw options for edge
}
\let\pmdraw@drawTedgesDraw\pmdraw@drawTedgesDrawDefault% Draws transversal edge from #1 vertex in top row to #2 vertex in bottom row
\newcommand{\pmdraw@drawUedgesDrawOptions}{}% Draw options for upper non-transversal edges
\newcommand{\pmdraw@drawUedgesDrawOptionsDefault}{}% Default draw options for upper non-transversal edges
\newcommand{\pmdraw@drawUedgesDrawDefault}[2]{% Draws upper non-transversal edge from #1 vertex to #2 vertex, assumes #1<#2 - DEFAULT
\draw[apply style/.expand once=\pmdraw@drawUedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawUedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#1,\pmdraw@rowSep) arc (180:270:\pmdraw{edgeHeight});% Draw left arch
\draw[apply style/.expand once=\pmdraw@drawUedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawUedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#1+\pmdraw{edgeHeight},\pmdraw@rowSep-\pmdraw{edgeHeight}) -- (#2-\pmdraw{edgeHeight},\pmdraw@rowSep-\pmdraw{edgeHeight});% Draw straight line
\draw[apply style/.expand once=\pmdraw@drawUedgesDrawOptionsDefault,apply style/.expand once=\pmdraw@drawUedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#2-\pmdraw{edgeHeight},\pmdraw@rowSep-\pmdraw{edgeHeight}) arc (270:360:\pmdraw{edgeHeight});% Draw right arc
\renewcommand{\pmdraw@drawEdgeDrawOptions}{}% Reset draw options for edge
}
\let\pmdraw@drawUedgesDraw\pmdraw@drawUedgesDrawDefault% Draws upper non-transversal edge from #1 vertex to #2 vertex, assumes #1<#2
\newcommand{\pmdraw@drawVertexOptions}{}% Draw options for vertices
\newcommand{\pmdraw@drawVertexOptionsDefault}{}% Default draw options for vertices
\newcommand{\pmdraw@drawVertexDefault}[2]{% Draws a vertex at (#1,#2) - Default
\fill[apply style/.expand once=\pmdraw@drawVertexOptionsDefault,apply style/.expand once=\pmdraw@drawVertexOptions] (#1,#2) circle (.17);%
}
\let\pmdraw@drawVertex\pmdraw@drawVertexDefault% Draws a vertex at (#1,#2)
\newcommand{\pmdraw@edgeUncover}{1-}% Sets the uncover options of edge
\newcommand{\pmdraw@edgesAddedUncover}{1-}% Sets the uncover options of added edges
\newcommand{\pmdraw@edgesUncover}{1-}% Sets the uncover options of edges
\newcommand{\pmdraw@hookAfterBrick}{}% Hook after drawing a brick
\newcommand{\pmdraw@hookAfterDiagram}{}% Hook after drawing a diagram
\newcommand{\pmdraw@hookBeforeBrick}{}% Hook before drawing a brick
\newcommand{\pmdraw@hookBeforeDiagram}{}% Hook before drawing a diagram
\newcommand{\pmdraw@ifDiagWDots}{0}% Boolean if drawing a diagram with dots
\newcommand{\pmdraw@ifEdgesFirst}{0}% Boolean if drawing edges before vertices
\newcommand{\pmdraw@ifGrid}{0}% Boolean if displaying helper grid
\newcommand{\pmdraw@ifLabelsB}{0}% Boolean if displaying labels for vertices in bottom row
\newcommand{\pmdraw@ifLabelsT}{0}% Boolean if displaying labels for vertices in top row
\newcommand{\pmdraw@ifProdDiag}{0}% Boolean if drawing a product diagram
\newcommand{\pmdraw@ifTedgesFirst}{0}% Boolean if drawing transversal edges before non-transversal edges
\newcommand{\pmdraw@ifTedgeHorizontal}{0}% Boolean if transversal edge is drawn horizontally
\newcommand{\pmdraw@NTedgesHeight}{-1000}% Height of non-transversal edges if manually set, a value of -1000 sets height automatically
\newcommand{\pmdraw@reset}{% Resets user keys and other flags to default values after drawing diagram
\renewcommand{\pmdraw@diagSep}{1}% Resets vertical space between product diagrams
\renewcommand{\pmdraw@drawAedgesOptions}{}% Resets draw options for added edges in product diagram
\let\pmdraw@drawDots\pmdraw@drawDotsDefault% Resets drawing of dots between bricks
\renewcommand{\pmdraw@edgesAddedUncover}{1-}% Resets the uncover options of added edges
\renewcommand{\pmdraw@hookAfterDiagram}{}% Clears hook after drawing a diagram
\renewcommand{\pmdraw@hookBeforeDiagram}{}% Clears hook before drawing a diagram
\renewcommand{\pmdraw@ifGrid}{0}% Hides grid
\renewcommand{\pmdraw@ifDiagWDots}{0}% Reset if drawing a diagram with dots
\renewcommand{\pmdraw@rowSep}{2}% Resets vertical separation between rows of vertices in brick
\renewcommand{\pmdraw@tikz}{}% Resets tikz options
\renewcommand{\pmdraw@vertexSep}{0}% Resets vertical space between product diagrams
\setcounter{pmdraw@blankB}{0}% Resets number of blank vertices in bottom row to the left of brick
\setcounter{pmdraw@blankT}{0}% Resets number of blank vertices in top row to the left of brick
\setcounter{pmdraw@bottomShift}{0}% Resets shift on right end of bottom row of brick
\setcounter{pmdraw@topShift}{0}% Resets shift on right end of top row of brick
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\setcounter{pmdraw@ifEdgesAdded}{0}% Resets boolean if hiding added edges
}
\newcommand{\pmdraw@rowSep}{2}% Vertical separation between rows of vertices in brick
\newcommand{\pmdraw@tikz}{}% Tikz options
\newcommand{\pmdraw@verticesBottomUncover}{1-}% Sets the uncover options of bottom vertices
\newcommand{\pmdraw@verticesTopUncover}{1-}% Sets the uncover options of top vertices
\newcommand{\pmdraw@vertexSep}{0}% Vertical separation between bottom row of top diagram and top row of bottom diagram in product diagram not for added edges
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Counters %
% - loosely ordered alphabetically %
% - includes default values where appropriate %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcounter{pmdraw@blankB}% Number of blank vertices in bottom row to the left of brick
\newcounter{pmdraw@blankT}% Number of blank vertices in top row to the left of brick
\newcounter{pmdraw@bottomTotal}% Size of bottom row of brick
\newcounter{pmdraw@bottomShift}% Shift on right end of bottom row of brick
\newcounter{pmdraw@braceL}% Left starting vertex of brace
\newcounter{pmdraw@braceR}% Right terminating vertex of brace
\newcounter{pmdraw@brickShift}% Shift required for bricks after dots in diagram with dots
\newcounter{pmdraw@degreeB}% Degree (number of vertices) of bottom row of brick
\newcounter{pmdraw@degreeT}% Degree (number of vertices) of top row of brick
\newcounter{pmdraw@ifDiagWDotsFirst}% In drawing with dots, boolean if drawing first brick of diagram
\setcounter{pmdraw@ifDiagWDotsFirst}{1}
\newcounter{pmdraw@ifEdge}% Boolean if hiding edge
\setcounter{pmdraw@ifEdge}{0}
\newcounter{pmdraw@ifEdgesAdded}% Boolean if hiding added edges
\setcounter{pmdraw@ifEdgesAdded}{0}
\newcounter{pmdraw@ifEdges}% Boolean if hiding edges
\setcounter{pmdraw@ifEdges}{0}
\newcounter{pmdraw@ifVerticesBottom}% Boolean if hiding bottom row of vertices
\setcounter{pmdraw@ifVerticesBottom}{0}
\newcounter{pmdraw@ifVerticesTop}% Boolean if hiding top row of vertices
\setcounter{pmdraw@ifVerticesTop}{0}
\newcounter{pmdraw@labelStartB}% Starting value of labels of vertices in bottom row
\setcounter{pmdraw@labelStartB}{1}
\newcounter{pmdraw@labelStartT}% Starting value of labels of vertices in top row
\setcounter{pmdraw@labelStartT}{1}
\newcounter{pmdraw@NTlevel}% Level corresponding to a height for a non-transversal edge
\newcounter{pmdraw@topTotal}% Size of top row of brick
\newcounter{pmdraw@topShift}% Shift on right end of top row of brick
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Keys for bricks %
% - ordered as per manual %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% To pass draw options to \draw command
% Verbatim copy from:
%
https://tex.stackexchange.com/a/64237
\tikzset{apply style/.code={\tikzset{#1}}}
\define@key{pmdraw@brick}{degree}{% Sets degree (number of vertices per row) of diagram
\setcounter{pmdraw@degreeB}{#1}% Sets degree (number of vertices per row) for bottom row
\setcounter{pmdraw@degreeT}{#1}% Sets degree (number of vertices per row) for top row
}
\define@key{pmdraw@brickDefault}{degree}{% Sets default degree (number of vertices per row) of diagram
\setkeys{pmdraw@brick}{%
\savevalue{degree bottom}=#1%
}%
\setkeys{pmdraw@brick}{%
\savevalue{degree top}=#1%
}%
}
\define@key{pmdraw@brick}{degree bottom}{% Sets degree (number of vertices per row) for bottom row
\setcounter{pmdraw@degreeB}{#1}%
}
\define@key{pmdraw@brickDefault}{degree bottom}{% Sets default degree (number of vertices per row) for bottom row
\setkeys{pmdraw@brick}{%
\savevalue{degree bottom}=#1%
}%
}
\define@key{pmdraw@brick}{degree top}{% Sets degree (number of vertices per row) for top row
\setcounter{pmdraw@degreeT}{#1}%
}
\define@key{pmdraw@brickDefault}{degree top}{% Sets default degree (number of vertices per row) for top row
\setkeys{pmdraw@brick}{%
\savevalue{degree top}=#1%
}%
}
\define@key{pmdraw@brick}{blank bottom}{% Sets the number of blank vertices on left of bottom row
\setcounter{pmdraw@blankB}{#1}%
}
\define@key{pmdraw@brickDefault}{blank bottom}{% Sets the default number of blank vertices on left of bottom row
\setkeys{pmdraw@brick}{%
\savevalue{blank bottom}=#1%
}%
}
\define@key{pmdraw@brick}{blank top}{% Sets the number of blank vertices on left of top row
\setcounter{pmdraw@blankT}{#1}%
}
\define@key{pmdraw@brickDefault}{blank top}{% Sets the default number of blank vertices on left of top row
\setkeys{pmdraw@brick}{%
\savevalue{blank top}=#1%
}%
}
\define@key{pmdraw@brick}{row sep}{% Sets vertical separation between rows of vertices in brick
\renewcommand{\pmdraw@rowSep}{#1}%
}
\define@key{pmdraw@brickDefault}{row sep}{% Sets default vertical separation between rows of vertices in brick
\setkeys{pmdraw@brick}{%
\savevalue{row sep}=#1%
}%
}
\define@key{pmdraw@brick}{vertices}{% Sets the draw options of vertices
\renewcommand{\pmdraw@drawVertexOptions}{#1}%
}
\define@key{pmdraw@brick}{verticesDefault}{% Sets the default draw options of vertices
\renewcommand{\pmdraw@drawVertexOptionsDefault}{#1}%
}
\define@key{pmdraw@brickDefault}{vertices}{% Sets the default draw options of vertices
\setkeys{pmdraw@brick}{%
\savevalue{verticesDefault}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 1}{% Sets 1st vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBa}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 1}{% Sets default 1st vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 1}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 2}{% Sets 2nd vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBb}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 2}{% Sets default 2nd vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 2}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 3}{% Sets 3rd vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBc}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 3}{% Sets default 3rd vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 3}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 4}{% Sets 4th vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBd}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 4}{% Sets default 4th vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 4}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 5}{% Sets 5th vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBe}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 5}{% Sets default 5th vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 5}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 6}{% Sets 6th vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBf}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 6}{% Sets default 6th vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 6}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 7}{% Sets 7th vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBg}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 7}{% Sets default 7th vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 7}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 8}{% Sets 8th vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBh}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 8}{% Sets default 8th vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 8}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex bottom 9}{% Sets 9th vertex to skip in bottom row
\renewcommand{\pmdraw@drawNoVertexBi}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex bottom 9}{% Sets default 9th vertex to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex bottom 9}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 1}{% Sets 1st vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTa}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 1}{% Sets default 1st vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 1}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 2}{% Sets 2nd vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTb}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 2}{% Sets default 2nd vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 2}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 3}{% Sets 3rd vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTc}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 3}{% Sets default 3rd vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 3}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 4}{% Sets 4th vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTd}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 4}{% Sets default 4th vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 4}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 5}{% Sets 5th vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTe}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 5}{% Sets default 5th vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 5}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 6}{% Sets 6th vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTf}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 6}{% Sets default 6th vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 6}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 7}{% Sets 7th vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTg}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 7}{% Sets default 7th vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 7}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 8}{% Sets 8th vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTh}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 8}{% Sets default 8th vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 8}=#1%
}%
}
\define@key{pmdraw@brick}{no vertex top 9}{% Sets 9th vertex to skip in top row
\renewcommand{\pmdraw@drawNoVertexTi}{#1}%
}
\define@key{pmdraw@brickDefault}{no vertex top 9}{% Sets default 9th vertex to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no vertex top 9}=#1%
}%
}
\define@key{pmdraw@brick}{vertices options}{% Sets the draw command of vertices
\renewcommand{\pmdraw@drawVertex}[2]{#1}%
}
\define@key{pmdraw@brick}{labels}[1]{% Draws labels for vertices
\renewcommand{\pmdraw@ifLabelsB}{#1}%
\renewcommand{\pmdraw@ifLabelsT}{#1}%
}
\define@key{pmdraw@brickDefault}{labels}[1]{% Sets the default drawing labels for vertices
\setkeys{pmdraw@brick}{%
\savevalue{labels}=#1%
}%
}
\define@key{pmdraw@brick}{labels bottom}[1]{% Draws labels for bottom vertices
\renewcommand{\pmdraw@ifLabelsB}{#1}%
}
\define@key{pmdraw@brickDefault}{labels bottom}[1]{% Sets the default drawing labels for bottom vertices
\setkeys{pmdraw@brick}{%
\savevalue{labels bottom}=#1%
}%
}
\define@key{pmdraw@brick}{labels top}[1]{% Draws labels for top vertices
\renewcommand{\pmdraw@ifLabelsT}{#1}%
}
\define@key{pmdraw@brickDefault}{labels top}[1]{% Sets the default drawing labels for top vertices
\setkeys{pmdraw@brick}{%
\savevalue{labels top}=#1%
}%
}
\define@key{pmdraw@brick}{labels start}{% Sets starting number for vertex labels
\setcounter{pmdraw@labelStartT}{#1}%
\setcounter{pmdraw@labelStartB}{#1}%
}
\define@key{pmdraw@brickDefault}{labels start}{% Sets the default starting number for vertex labels
\setkeys{pmdraw@brick}{%
\savevalue{labels start}=#1%
}%
}
\define@key{pmdraw@brick}{labels bottom start}{% Sets starting number for bottom vertex labels
\setcounter{pmdraw@labelStartB}{#1}%
}
\define@key{pmdraw@brickDefault}{labels bottom start}{% Sets the default starting number for bottom vertex labels
\setkeys{pmdraw@brick}{%
\savevalue{labels bottom start}=#1%
}%
}
\define@key{pmdraw@brick}{labels top start}{% Sets starting number for top vertex labels
\setcounter{pmdraw@labelStartT}{#1}%
}
\define@key{pmdraw@brickDefault}{labels top start}{% Sets the default starting number for top vertex labels
\setkeys{pmdraw@brick}{%
\savevalue{labels top start}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 1}{% Sets 1st label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBa}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 1}{% Sets the default 1st label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 1}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 2}{% Sets 2nd label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBb}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 2}{% Sets the default 2nd label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 2}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 3}{% Sets 3rd label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBc}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 3}{% Sets the default 3rd label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 3}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 4}{% Sets 4th label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBd}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 4}{% Sets the default 4th label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 4}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 5}{% Sets 5th label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBe}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 5}{% Sets the default 5th label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 5}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 6}{% Sets 6th label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBf}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 6}{% Sets the default 6th label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 6}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 7}{% Sets 7th label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBg}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 7}{% Sets the default 7th label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 7}=#1%
}%
}
\define@key{pmdraw@brickDefault}{no label bottom 8}{% Sets the default 8th label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 8}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 8}{% Sets 8th label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBh}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 8}{% Sets the default 8th label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 8}=#1%
}%
}
\define@key{pmdraw@brick}{no label bottom 9}{% Sets 9th label to skip in bottom row
\renewcommand{\pmdraw@drawNoLabelBi}{#1}%
}
\define@key{pmdraw@brickDefault}{no label bottom 9}{% Sets the default 9th label to skip in bottom row
\setkeys{pmdraw@brick}{%
\savevalue{no label bottom 9}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 1}{% Sets 1st label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTa}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 1}{% Sets the default 1st label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 1}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 2}{% Sets 2nd label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTb}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 2}{% Sets the default 2nd label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 2}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 3}{% Sets 3rd label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTc}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 3}{% Sets the default 3rd label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 3}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 4}{% Sets 4th label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTd}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 4}{% Sets the default 4th label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 4}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 5}{% Sets 5th label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTe}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 5}{% Sets the default 5th label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 5}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 6}{% Sets 6th label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTf}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 6}{% Sets the default 6th label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 6}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 7}{% Sets 7th label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTg}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 7}{% Sets the default 7th label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 7}=#1%
}%
}
\define@key{pmdraw@brickDefault}{no label top 8}{% Sets the default 8th label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 8}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 8}{% Sets 8th label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTh}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 8}{% Sets the default 8th label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 8}=#1%
}%
}
\define@key{pmdraw@brick}{no label top 9}{% Sets 9th label to skip in top row
\renewcommand{\pmdraw@drawNoLabelTi}{#1}%
}
\define@key{pmdraw@brickDefault}{no label top 9}{% Sets the default 9th label to skip in top row
\setkeys{pmdraw@brick}{%
\savevalue{no label top 9}=#1%
}%
}
\define@key{pmdraw@brick}{labels bottom draw}{% Sets the draw options for labels of bottom vertices
\renewcommand{\pmdraw@drawLabelBDrawOptions}{#1}%
}
\define@key{pmdraw@brickDefault}{labels bottom draw}{% Sets the default draw options for labels of bottom vertices
\setkeys{pmdraw@brick}{%
\savevalue{labels bottom draw}=#1%
}%
}
\define@key{pmdraw@brick}{labels bottom node}{% Sets the node options for labels of bottom vertices
\renewcommand{\pmdraw@drawLabelBNodeOptions}{#1}%
}
\define@key{pmdraw@brickDefault}{labels bottom node}{% Sets the default node options for labels of bottom vertices
\setkeys{pmdraw@brick}{%
\savevalue{labels bottom node}=#1%
}%
}
\define@key{pmdraw@brick}{labels top draw}{% Sets the draw options for labels of top vertices
\renewcommand{\pmdraw@drawLabelTDrawOptions}{#1}%
}
\define@key{pmdraw@brickDefault}{labels top draw}{% Sets the default draw options for labels of top vertices
\setkeys{pmdraw@brick}{%
\savevalue{labels top draw}=#1%
}%
}
\define@key{pmdraw@brick}{labels top node}{% Sets the node options for labels of top vertices
\renewcommand{\pmdraw@drawLabelTNodeOptions}{#1}%
}
\define@key{pmdraw@brickDefault}{labels top node}{% Sets the default node options for labels of top vertices
\setkeys{pmdraw@brick}{%
\savevalue{labels top node}=#1%
}%
}
\define@key{pmdraw@brick}{labels bottom options}{% Sets the draw command of labels of bottom vertices
\renewcommand{\pmdraw@drawLabelBottom}[3]{#1}%
}
\define@key{pmdraw@brick}{labels top options}{% Sets the draw command of labels of top vertices
\renewcommand{\pmdraw@drawLabelTop}[3]{#1}%
}
\define@key{pmdraw@brick}{no dots}[1]{% Does not draw dots in bricks
\setcounter{pmdraw@ifDiagWDotsFirst}{#1}%
}
\define@key{pmdraw@brick}{dots draw}{% Sets the draw options for drawing of dots
\renewcommand{\pmdraw@drawDotsDrawOptions}{#1}%
}
\define@key{pmdraw@brickDefault}{dots draw}{% Sets the default draw options for drawing of dots
\setkeys{pmdraw@brick}{%
\savevalue{dots draw}=#1%
}%
}
\define@key{pmdraw@brick}{dots node}{% Sets the node options for drawing of dots
\renewcommand{\pmdraw@drawDotsNodeOptions}{#1}%
}
\define@key{pmdraw@brickDefault}{dots node}{% Sets the default node options for drawing of dots
\setkeys{pmdraw@brick}{%
\savevalue{dots node}=#1%
}%
}
\define@key{pmdraw@brick}{vertices bottom phantom}[1]{% Does not draw bottom vertices
\setcounter{pmdraw@ifVerticesBottom}{#1}%
}
\define@key{pmdraw@brickDefault}{vertices bottom phantom}{% Sets the default to not draw bottom vertices
\setkeys{pmdraw@brick}{%
\savevalue{vertices bottom phantom}=#1%
}%
}
\define@key{pmdraw@brick}{vertices top phantom}[1]{% Does not draw top vertices
\setcounter{pmdraw@ifVerticesTop}{#1}%
}
\define@key{pmdraw@brickDefault}{vertices top phantom}{% Sets the default to not draw top vertices
\setkeys{pmdraw@brick}{%
\savevalue{vertices top phantom}=#1%
}%
}
\define@key{pmdraw@brick}{vertices bottom uncover}{% Sets the uncover options of bottom vertices
\renewcommand{\pmdraw@verticesBottomUncover}{#1}%
}
\define@key{pmdraw@brickDefault}{vertices bottom uncover}{% Sets the default uncover options of bottom vertices
\setkeys{pmdraw@brick}{%
\savevalue{vertices bottom uncover}=#1%
}%
}
\define@key{pmdraw@brick}{vertices top uncover}{% Sets the uncover options of top vertices
\renewcommand{\pmdraw@verticesTopUncover}{#1}%
}
\define@key{pmdraw@brickDefault}{vertices top uncover}{% Sets the default uncover options of top vertices
\setkeys{pmdraw@brick}{%
\savevalue{vertices top uncover}=#1%
}%
}
\define@key{pmdraw@brick}{levels}[1]{% Sets number of horizontal levels for non-transversal edges and evenly spaces them
\tikzmath{%
\pmdraw{edgeSepU} = (0.5*\pmdraw@rowSep)/(#1 + 1);% Calculates vertical separation between each edge
\pmdraw{edgeSepL} = \pmdraw{edgeSepU};% Calculates vertical separation between each edge
}%
}
\define@key{pmdraw@brickDefault}{levels}{% Sets the default number of horizontal levels for non-transversal edges and evenly spaces them
\setkeys{pmdraw@brick}{%
\savevalue{levels}=#1%
}%
}
\define@key{pmdraw@brick}{levels bottom}{% Sets number of horizontal levels for lower non-transversal edges and evenly spaces them
\tikzmath{%
\pmdraw{edgeSepL} = (0.5*\pmdraw@rowSep)/(#1 + 1);% Calculates vertical separation between each edge
}%
}
\define@key{pmdraw@brickDefault}{levels bottom}{% Sets the default number of horizontal levels for lower non-transversal edges and evenly spaces them
\setkeys{pmdraw@brick}{%
\savevalue{levels bottom}=#1%
}%
}
\define@key{pmdraw@brick}{levels top}{% Sets number of horizontal levels for upper non-transversal edges and evenly spaces them
\tikzmath{%
\pmdraw{edgeSepU} = (0.5*\pmdraw@rowSep)/(#1 + 1);% Calculates vertical separation between each edge
}%
}
\define@key{pmdraw@brickDefault}{levels top}{% Sets the default number of horizontal levels for upper non-transversal edges and evenly spaces them
\setkeys{pmdraw@brick}{%
\savevalue{levels top}=#1%
}%
}
\define@key{pmdraw@brick}{levels sep}{% Sets vertical separation of horizontal levels for non-transversal edges
\tikzmath{%
\pmdraw{edgeSepU} = #1;%
\pmdraw{edgeSepL} = \pmdraw{edgeSepU};%
}%
}
\define@key{pmdraw@brickDefault}{levels sep}{% Sets the default vertical separation of horizontal levels for non-transversal edges
\setkeys{pmdraw@brick}{%
\savevalue{levels sep}=#1%
}%
}
\define@key{pmdraw@brick}{levels sep bottom}{% Sets vertical separation of lower horizontal levels for non-transversal edges
\tikzmath{%
\pmdraw{edgeSepL} = #1;%
}%
}
\define@key{pmdraw@brickDefault}{levels sep bottom}{% Sets the default vertical separation of lower horizontal levels for non-transversal edges
\setkeys{pmdraw@brick}{%
\savevalue{levels sep bottom}=#1%
}%
}
\define@key{pmdraw@brick}{levels sep top}{% Sets vertical separation of upper horizontal levels for non-transversal edges
\tikzmath{%
\pmdraw{edgeSepU} = #1;%
}%
}
\define@key{pmdraw@brickDefault}{levels sep top}{% Sets the default vertical separation of upper horizontal levels for non-transversal edges
\setkeys{pmdraw@brick}{%
\savevalue{levels sep top}=#1%
}%
}
\define@key{pmdraw@brick}{edges}{% Sets the draw options of all edges
\renewcommand{\pmdraw@drawUedgesDrawOptions}{#1}%
\renewcommand{\pmdraw@drawLedgesDrawOptions}{#1}%
\renewcommand{\pmdraw@drawTedgesDrawOptions}{#1}%
}
\define@key{pmdraw@brick}{edgesDefault}{% Sets the default draw options of all edges
\renewcommand{\pmdraw@drawUedgesDrawOptionsDefault}{#1}%
\renewcommand{\pmdraw@drawLedgesDrawOptionsDefault}{#1}%
\renewcommand{\pmdraw@drawTedgesDrawOptionsDefault}{#1}%
}
\define@key{pmdraw@brickDefault}{edges}{% Sets the default draw options of all edges
\setkeys{pmdraw@brick}{%
\savevalue{edgesDefault}=#1%
}%
}
\define@key{pmdraw@brick}{edges non-transversal}{% Sets the draw options of non-transversal edges
\renewcommand{\pmdraw@drawUedgesDrawOptions}{#1}%
\renewcommand{\pmdraw@drawLedgesDrawOptions}{#1}%
}
\define@key{pmdraw@brick}{edges non-transversalDefault}{% Sets the default draw options of non-transversal edges
\renewcommand{\pmdraw@drawUedgesDrawOptionsDefault}{#1}%
\renewcommand{\pmdraw@drawLedgesDrawOptionsDefault}{#1}%
}
\define@key{pmdraw@brickDefault}{edges non-transversal}{% Sets the default draw options of non-transversal edges
\setkeys{pmdraw@brick}{%
\savevalue{edges non-transversalDefault}=#1%
}%
}
\define@key{pmdraw@brick}{edges upper}{% Sets the draw options of upper non-transversal edges
\renewcommand{\pmdraw@drawUedgesDrawOptions}{#1}%
}
\define@key{pmdraw@brick}{edges upperDefault}{% Sets the default draw options of upper non-transversal edges
\renewcommand{\pmdraw@drawUedgesDrawOptionsDefault}{#1}%
}
\define@key{pmdraw@brickDefault}{edges upper}{% Sets the default draw options of upper non-transversal edges
\setkeys{pmdraw@brick}{%
\savevalue{edges upperDefault}=#1%
}%
}
\define@key{pmdraw@brick}{edges lower}{% Sets the draw options of lower non-transversal edges
\renewcommand{\pmdraw@drawLedgesDrawOptions}{#1}%
}
\define@key{pmdraw@brick}{edges lowerDefault}{% Sets the defaultdraw options of lower non-transversal edges
\renewcommand{\pmdraw@drawLedgesDrawOptionsDefault}{#1}%
}
\define@key{pmdraw@brickDefault}{edges lower}{% Sets the default draw options of lower non-transversal edges
\setkeys{pmdraw@brick}{%
\savevalue{edges lowerDefault}=#1%
}%
}
\define@key{pmdraw@brick}{edges transversal}{% Sets the draw options of transversal edges
\renewcommand{\pmdraw@drawTedgesDrawOptions}{#1}%
}
\define@key{pmdraw@brick}{edges transversalDefault}{% Sets the default draw options of transversal edges
\renewcommand{\pmdraw@drawTedgesDrawOptionsDefault}{#1}%
}
\define@key{pmdraw@brickDefault}{edges transversal}{% Sets the default draw options of transversal edges
\setkeys{pmdraw@brick}{%
\savevalue{edges transversalDefault}=#1%
}%
}
\define@key{pmdraw@brick}{edges first}[1]{% Draws edges before vertices
\renewcommand{\pmdraw@ifEdgesFirst}{#1}%
}
\define@key{pmdraw@brickDefault}{edges first}{% Sets the default to draw edges before vertices
\setkeys{pmdraw@brick}{%
\savevalue{edges first}=#1%
}%
}
\define@key{pmdraw@brick}{transversals first}[1]{% Draws transversal edges before non-transversal edges
\renewcommand{\pmdraw@ifTedgesFirst}{#1}%
}
\define@key{pmdraw@brickDefault}{transversals first}{% Sets the default to draw transversal edges before non-transversal edges
\setkeys{pmdraw@brick}{%
\savevalue{transversals first}=#1%
}%
}
\define@key{pmdraw@brick}{edges phantom}[1]{% Does not draw edges
\setcounter{pmdraw@ifEdges}{#1}%
}
\define@key{pmdraw@brickDefault}{edges phantom}{% Sets the default to not draw edge
\setkeys{pmdraw@brick}{%
\savevalue{edges phantom}=#1%
}%
}
\define@key{pmdraw@brick}{edges uncover}{% Sets the uncover options of edges
\renewcommand{\pmdraw@edgesUncover}{#1}%
}
\define@key{pmdraw@brickDefault}{edges uncover}{% Sets the default uncover options of edges
\setkeys{pmdraw@brick}{%
\savevalue{edges uncover}=#1%
}%
}
\define@key{pmdraw@brick}{brace}{% Draws a brace
\setkeys{pmdraw@brace}{% Sets default keys for brace
left=\usevalue{left},
right=\usevalue{right},
above=\usevalue{above}
}%
\setkeys{pmdraw@brace}{#1}% Processes details of brace
\pmdraw@drawBrace{\value{pmdraw@braceL}}{\value{pmdraw@braceR}}{\pmdraw@braceLabel}% Draws brace
\let\pmdraw@drawBrace\pmdraw@drawBraceDefault% Resets brace options if changed
}
\define@key{pmdraw@brickDefault}{brace}{% Sets the default brace
\setkeys{pmdraw@brick}{%
\savevalue{brace}=#1%
}%
}
\define@key{pmdraw@brick}{brace draw}{% Sets the draw options for drawing of brace
\renewcommand{\pmdraw@drawBraceDrawOptions}{#1}%
}
\define@key{pmdraw@brickDefault}{brace draw}{% Sets the default draw options for drawing of brace
\setkeys{pmdraw@brick}{%
\savevalue{brace draw}=#1%
}%
}
\define@key{pmdraw@brick}{brace node}{% Sets the node options for drawing of brace
\renewcommand{\pmdraw@drawBraceNodeOptions}{#1}%
}
\define@key{pmdraw@brickDefault}{brace node}{% Sets the default node options for drawing of brace
\setkeys{pmdraw@brick}{%
\savevalue{brace node}=#1%
}%
}
\define@key{pmdraw@brick}{decorate before}{% Hook for decorations before brick is drawn
\renewcommand{\pmdraw@hookBeforeBrick}{#1}%
}
\define@key{pmdraw@brickDefault}{decorate before}{% Sets the default hook for decorations before brick is drawn
\setkeys{pmdraw@brick}{%
\savevalue{decorate before}=#1%
}%
}
\define@key{pmdraw@brick}{decorate after}{% Hook for decorations after brick is drawn
\renewcommand{\pmdraw@hookAfterBrick}{#1}%
}
\define@key{pmdraw@brickDefault}{decorate after}{% Sets the default hook for decorations after brick is drawn
\setkeys{pmdraw@brick}{%
\savevalue{decorate after}=#1%
}%
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Keys for edges %
% - ordered as per manual %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\define@key{pmdraw@NTedges}{level}{% Sets level of non-transversal edge
\setcounter{pmdraw@NTlevel}{#1}%
}
\define@key{pmdraw@NTedgesDefault}{level}{% Sets the default level of non-transversal edge
\setkeys{pmdraw@NTedges}{%
\savevalue{level}=#1%
}%
}
\define@key{pmdraw@NTedges}{height}{% Sets manual height of non-transversal edge
\renewcommand{\pmdraw@NTedgesHeight}{#1}%
}
\define@key{pmdraw@NTedgesDefault}{height}{% Sets the default manual height of non-transversal edge
\setkeys{pmdraw@NTedges}{%
\savevalue{height}=#1%
}%
}
\define@key{pmdraw@NTedges}{edge draw}{% Sets the draw options for drawing of edge
\renewcommand{\pmdraw@drawEdgeDrawOptions}{#1}%
}
\define@key{pmdraw@NTedgesDefault}{edge draw}{% Sets the default draw options for drawing of edge
\setkeys{pmdraw@NTedges}{%
\savevalue{edge draw}=#1%
}%
}
\define@key{pmdraw@NTedges}{options}{% Sets the draw command of non-transversal edge
\renewcommand{\pmdraw@drawUedgesDraw}[2]{#1}%
\renewcommand{\pmdraw@drawLedgesDraw}[2]{#1}%
}
\define@key{pmdraw@NTedges}{phantom}[1]{% Does not draw edge
\setcounter{pmdraw@ifEdge}{#1}%
}
\define@key{pmdraw@NTedgesDefault}{phantom}{% Sets the default to not draw edge
\setkeys{pmdraw@NTedges}{%
\savevalue{phantom}=#1%
}%
}
\define@key{pmdraw@NTedges}{uncover}{% Sets the uncover options of edge
\renewcommand{\pmdraw@edgeUncover}{#1}%
}
\define@key{pmdraw@NTedgesDefault}{uncover}{% Sets the default uncover options of edge
\setkeys{pmdraw@NTedges}{%
\savevalue{uncover}=#1%
}%
}
\define@key{pmdraw@Tedges}{height}{% Sets manual height of transversal edge
\tikzmath{%
\pmdraw{Tlevel} = #1;%
}%
\renewcommand{\pmdraw@ifTedgeHorizontal}{1}% Flags manual height
}
\define@key{pmdraw@TedgesDefault}{height}{% Sets the default manual height of transversal edge
\setkeys{pmdraw@Tedges}{%
\savevalue{height}=#1%
}%
}
\define@key{pmdraw@Tedges}{edge draw}{% Sets the draw options for drawing of edge
\renewcommand{\pmdraw@drawEdgeDrawOptions}{#1}%
}
\define@key{pmdraw@TedgesDefault}{edge draw}{% Sets the default draw options for drawing of edge
\setkeys{pmdraw@Tedges}{%
\savevalue{edge draw}=#1%
}%
}
\define@key{pmdraw@Tedges}{options}{% Sets the draw command of transversal edge
\renewcommand{\pmdraw@drawTedgesDraw}[2]{#1}%
}
\define@key{pmdraw@Tedges}{phantom}[1]{% Does not draw edge
\setcounter{pmdraw@ifEdge}{#1}%
}
\define@key{pmdraw@TedgesDefault}{phantom}{% Sets the default to not draw edge
\setkeys{pmdraw@Tedges}{%
\savevalue{phantom}=#1%
}%
}
\define@key{pmdraw@Tedges}{uncover}{% Sets the uncover options of edge
\renewcommand{\pmdraw@edgeUncover}{#1}%
}
\define@key{pmdraw@TedgesDefault}{uncover}{% Sets the default uncover options of edge
\setkeys{pmdraw@Tedges}{%
\savevalue{uncover}=#1%
}%
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Keys for brace %
% - ordered as per manual %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\define@key{pmdraw@brace}{left}{% Sets starting position of brace
\setcounter{pmdraw@braceL}{#1}%
}
\define@key{pmdraw@braceDefault}{left}{% Sets the default starting position of brace
\setkeys{pmdraw@brace}{%
\savevalue{left}=#1%
}%
}
\define@key{pmdraw@brace}{right}{% Sets terminating position of brace
\setcounter{pmdraw@braceR}{#1}%
}
\define@key{pmdraw@braceDefault}{right}{% Sets the default terminating position of brace
\setkeys{pmdraw@brace}{%
\savevalue{right}=#1%
}%
}
\define@key{pmdraw@brace}{label}{% Sets label of brace
\renewcommand{\pmdraw@braceLabel}{#1}%
}
\define@key{pmdraw@brace}{above}[1]{% Set flag to draw brace above diagram
\renewcommand{\pmdraw@ifProdDiag}{#1}%
}
\define@key{pmdraw@braceDefault}{above}{% Sets the default flag to draw brace above diagram
\setkeys{pmdraw@brace}{%
\savevalue{above}=#1%
}%
}
\define@key{pmdraw@brace}{options}{% Sets the draw command of brace
\renewcommand{\pmdraw@drawBrace}[3]{#1}%
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Keys for diagrams and product diagrams %
% - ordered as per manual %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\define@key{pmdraw@diagram}{row sep}{% Sets vertical separation between rows of vertices in diagram
\renewcommand{\pmdraw@rowSep}{#1}%
}
\define@key{pmdraw@diagramDefault}{row sep}{% Sets the default vertical separation between rows of vertices in diagram
\setkeys{pmdraw@diagram}{%
\savevalue{row sep}=#1%
}%
}
\define@key{pmdraw@diagram}{tikz}{% Sets the tikz options
\renewcommand{\pmdraw@tikz}{#1}%
}
\define@key{pmdraw@diagramDefault}{tikz}{% Sets the default tikz options
\setkeys{pmdraw@diagram}{%
\savevalue{tikz}=#1%
}%
}
\define@key{pmdraw@diagram}{dots options}{% Sets the draw command of dots between bricks
\renewcommand{\pmdraw@drawDots}[2]{#1}%
}
\define@key{pmdraw@diagram}{grid}[1]{% Flag for drawing coordinate grid
\renewcommand{\pmdraw@ifGrid}{#1}%
}
\define@key{pmdraw@diagramDefault}{grid}{% Sets the default flag for drawing coordinate grid
\setkeys{pmdraw@diagram}{%
\savevalue{grid}=#1%
}%
}
\define@key{pmdraw@diagram}{decorate before}{% Hook before drawing diagrams
\renewcommand{\pmdraw@hookBeforeDiagram}{#1}%
}
\define@key{pmdraw@diagramDefault}{decorate before}{% Sets the default hook before drawing diagrams
\setkeys{pmdraw@diagram}{%
\savevalue{decorate before}=#1%
}%
}
\define@key{pmdraw@diagram}{decorate after}{% Hook after drawing diagrams
\renewcommand{\pmdraw@hookAfterDiagram}{#1}%
}
\define@key{pmdraw@diagramDefault}{decorate after}{% Sets the default hook after drawing diagrams
\setkeys{pmdraw@diagram}{%
\savevalue{decorate after}=#1%
}%
}
\define@key{pmdraw@diagram}{diagram sep}{% Sets vertical separation between bottom row of top diagram and top row of bottom diagram in product diagram
\renewcommand{\pmdraw@diagSep}{#1}%
}
\define@key{pmdraw@diagramDefault}{diagram sep}{% Sets the default vertical separation between bottom row of top diagram and top row of bottom diagram in product diagram
\setkeys{pmdraw@diagram}{%
\savevalue{diagram sep}=#1%
}%
}
\define@key{pmdraw@diagram}{vertex sep}{% Sets vertical separation between bottom row of top diagram and top row of bottom diagram in product diagram not for added edges
\renewcommand{\pmdraw@vertexSep}{#1}%
}
\define@key{pmdraw@diagramDefault}{vertex sep}{% Sets the default vertical separation between bottom row of top diagram and top row of bottom diagram in product diagram not for added edges
\setkeys{pmdraw@diagram}{%
\savevalue{vertex sep}=#1%
}%
}
\define@key{pmdraw@diagram}{edges added}{% Sets the draw options for drawing of added edges in product diagram
\renewcommand{\pmdraw@drawAedgesOptions}{#1}%
}
\define@key{pmdraw@diagram}{edges addedDefault}{% Sets the default draw options for drawing of added edges in product diagram
\renewcommand{\pmdraw@drawAedgesOptionsDefault}{#1}%
}
\define@key{pmdraw@diagramDefault}{edges added}{% Sets the default draw options for drawing of added edges in product diagram
\setkeys{pmdraw@diagram}{%
\savevalue{edges addedDefault}=#1%
}%
}
\define@key{pmdraw@diagram}{edges added phantom}[1]{% Does not draw added edges
\setcounter{pmdraw@ifEdgesAdded}{#1}%
}
\define@key{pmdraw@diagramDefault}{edges added phantom}{% Sets the default to not draw added edges
\setkeys{pmdraw@diagram}{%
\savevalue{edges added phantom}=#1%
}%
}
\define@key{pmdraw@diagram}{edges added uncover}{% Sets the uncover options of added edges
\renewcommand{\pmdraw@edgesAddedUncover}{#1}%
}
\define@key{pmdraw@diagramDefault}{edges added uncover}{% Sets the default uncover options of added edges
\setkeys{pmdraw@diagram}{%
\savevalue{edges added uncover}=#1%
}%
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Keys for default key settings %
% - ordered as per manual %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\define@key{pmdraw@default}{brick}{% Sets the default key options of brick keys
\setkeys{pmdraw@brickDefault}{#1}%
}
\define@key{pmdraw@default}{NTedges}{% Sets the default key options of non-transversal edge keys
\setkeys{pmdraw@NTedgesDefault}{#1}%
}
\define@key{pmdraw@default}{Tedges}{% Sets the default key options of transversal edge keys
\setkeys{pmdraw@TedgesDefault}{#1}%
}
\define@key{pmdraw@default}{brace}{% Sets the default key options of brace keys
\setkeys{pmdraw@braceDefault}{#1}%
}
\define@key{pmdraw@default}{diagram}{% Sets the default key options of diagram keys
\setkeys{pmdraw@diagramDefault}{#1}%
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% User commands %
% - loosely ordered alphabetically %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\pmdBrick}[4][]{% Draws brick
% #1 Options
% #2 Upper non-transversal edges, as list [<options>]{<left vertex>}{<right vertex>}, eg [level=1]{2}{3}
% #3 Lower non-transversal edges, as list [<options>]{<left vertex>}{<right vertex>}, eg [level=1]{2}{3}
% #4 Transversals, as list [<options>]{<upper vertex>}{<lower vertex>}, eg [level=1]{2}{3}
\pmdDiagram{{[#1]{#2}{#3}{#4}}}% Uses complete diagram method to draw brick
}
\newcommand{\pmdDiagram}[2][]{% Draws diagram
% #1 Options
% #2 List of bricks
\setkeys{pmdraw@diagram}{% Sets default key values for diagrams
row sep=\usevalue{row sep},
tikz=\usevalue{tikz},
grid=\usevalue{grid},
decorate before=\usevalue{decorate before},
decorate after=\usevalue{decorate after},
diagram sep=\usevalue{diagram sep},
vertex sep=\usevalue{vertex sep},
edges added phantom=\usevalue{edges added phantom},
edges added uncover=\usevalue{edges added uncover}
}%
\setkeys{pmdraw@diagram}{#1}% Processes options
\renewcommand{\pmdraw@ifDiagWDots}{1}% Flags that diagram has dots
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\ifmmode% If drawing diagram in a maths equation
\,% Add space
\ifnum\pmdraw@ifGrid=1% If displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=0.405cm,show grid=true,apply style/.expand once=\pmdraw@tikz]%
\else% If not displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=0.405cm,apply style/.expand once=\pmdraw@tikz]%
\fi%
\pmdraw@hookBeforeDiagram% Hook before drawing diagrams
\pmdraw@bricksLoop% Commences loop for each brick to be drawn
#2%
\pmdEmpty% Terminates loop
\pmdraw@hookAfterDiagram% Hook after drawing diagrams
\end{tikzpicture}%
\,% Add space
\else% If drawing diagram in normal text
\raisebox{0.5cm}{% Raise diagram so bottom row is on text baseline
\ifnum\pmdraw@ifGrid=1% If displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=0.405cm,show grid=true,apply style/.expand once=\pmdraw@tikz]%
\else% If not displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=0.405cm,apply style/.expand once=\pmdraw@tikz]%
\fi%
\pmdraw@hookBeforeDiagram% Hook before drawing diagrams
\pmdraw@bricksLoop% Commences loop for each brick to be drawn
#2%
\pmdEmpty% Terminates loop
\pmdraw@hookAfterDiagram% Hook after drawing diagrams
\end{tikzpicture}%
}%
\fi%
\pmdraw@reset% Resets user keys and other flags to default values
}
\newcommand{\pmdEmpty}{}% Indicates no edges, internally halts input loops, always is = {}
\newcommand{\pmdProduct}[4][]{% Draws product diagram
% #1 Options
% #2 List of added edges
% #3 Top diagram as list of bricks
% #4 Bottom diagram as list of bricks
\setkeys{pmdraw@diagram}{% Sets default key values for diagrams
row sep=\usevalue{row sep},
tikz=\usevalue{tikz},
grid=\usevalue{grid},
decorate before=\usevalue{decorate before},
decorate after=\usevalue{decorate after},
diagram sep=\usevalue{diagram sep},
vertex sep=\usevalue{vertex sep},
edges added phantom=\usevalue{edges added phantom},
edges added uncover=\usevalue{edges added uncover}
}%
\setkeys{pmdraw@diagram}{#1}% Processes options
\ifmmode% If drawing diagram in a maths equation
\,% Add space
\ifnum\pmdraw@ifGrid=1% If displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=-.3475cm,show grid=true,apply style/.expand once=\pmdraw@tikz]%
\else% If not displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=-.3475cm,apply style/.expand once=\pmdraw@tikz]%
\fi%
\pmdraw@hookBeforeDiagram% Hook before drawing diagrams
\pmdraw@AedgesLoop% Commences loop for added edges to be drawn
#2%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifDiagWDots}{1}% Flags that diagram has dot
\renewcommand{\pmdraw@ifProdDiag}{1}% Flags that diagram is product
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\pmdraw@bricksLoop% Commences loop for each brick to be drawn
#3%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifProdDiag}{0}% Resets flag that diagram is product
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\begin{scope}[shift={(0,-\pmdraw@diagSep-\pmdraw@rowSep-\pmdraw@vertexSep)}]% Shift coordinates to be underneath top diagram
\pmdraw@bricksLoop% Commences loop for each brick to be drawn
#4%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifDiagWDots}{0}% Reset if drawing a diagram with dots
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\end{scope}%
\pmdraw@hookAfterDiagram% Hook after drawing diagrams
\end{tikzpicture}%
\,% Add space
\else% If drawing diagram in normal text
\raisebox{2cm}{% Raise diagram so bottom row is on text baseline
\ifnum\pmdraw@ifGrid=1% If displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=0.405cm,show grid=true,apply style/.expand once=\pmdraw@tikz]%
\else% If not displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=0.405cm,apply style/.expand once=\pmdraw@tikz]%
\fi%
\pmdraw@hookBeforeDiagram% Hook before drawing diagrams
\pmdraw@AedgesLoop% Commences loop for added edges to be drawn
#2%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifDiagWDots}{1}% Flags that diagram has dot
\renewcommand{\pmdraw@ifProdDiag}{1}% Flags that diagram is product
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\pmdraw@bricksLoop% Commences loop for each brick to be drawn
#3%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifProdDiag}{0}% Resets flag that diagram is products
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\begin{scope}[shift={(0,-\pmdraw@diagSep-\pmdraw@rowSep-\pmdraw@vertexSep)}]% Shift coordinates to be underneath top diagram
\pmdraw@bricksLoop% Commences loop for each brick to be drawn
#4%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifDiagWDots}{0}% Reset if drawing a diagram with dots
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\end{scope}%
\pmdraw@hookAfterDiagram% Hook after drawing diagrams diagram
\end{tikzpicture}%
}%
\fi%
\pmdraw@reset% Resets user keys and other flags to default values
}
\newcommand{\pmdProductTriple}[6][]{% Draws triple product diagram
% #1 Options
% #2 List of top added edges
% #3 List of bottom added edges
% #4 Top diagram as list of bricks
% #5 Middle diagram as list of bricks
% #6 Bottom diagram as list of bricks
\setkeys{pmdraw@diagram}{% Sets default key values for diagrams
row sep=\usevalue{row sep},
tikz=\usevalue{tikz},
grid=\usevalue{grid},
decorate before=\usevalue{decorate before},
decorate after=\usevalue{decorate after},
diagram sep=\usevalue{diagram sep},
vertex sep=\usevalue{vertex sep},
edges added phantom=\usevalue{edges added phantom},
edges added uncover=\usevalue{edges added uncover}
}%
\setkeys{pmdraw@diagram}{#1}% Processes options
\ifmmode% If drawing diagram in a maths equation
\,% Add space
\ifnum\pmdraw@ifGrid=1% If displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=-1.0975cm,show grid=true,apply style/.expand once=\pmdraw@tikz]%
\else% If not displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=-1.0975cm,apply style/.expand once=\pmdraw@tikz]%
\fi%
\pmdraw@hookBeforeDiagram% Hook before drawing diagrams
\pmdraw@AedgesLoop% Commences loop for top added edges to be drawn
#2%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifDiagWDots}{1}% Flags that diagram has dot
\renewcommand{\pmdraw@ifProdDiag}{1}% Flags that diagram is product
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\pmdraw@bricksLoop% Commences loop for each top brick to be drawn
#4%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifProdDiag}{0}% Resets flag that diagram is product
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\begin{scope}[shift={(0,-\pmdraw@diagSep-\pmdraw@rowSep-\pmdraw@vertexSep)}]% Shift coordinates to be underneath top diagram
\pmdraw@AedgesLoop% Commences loop for bottom added edges to be drawn
#3%
\pmdEmpty% Terminates loop
\pmdraw@bricksLoop% Commences loop for each middle brick to be drawn
#5%
\pmdEmpty% Terminates loop
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\begin{scope}[shift={(0,-\pmdraw@diagSep-\pmdraw@rowSep-\pmdraw@vertexSep)}]% Shift coordinates to be underneath middle diagram
\pmdraw@bricksLoop% Commences loop for each bottom brick to be drawn
#6%
\pmdEmpty% Terminates loop
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\end{scope}%
\end{scope}%
\renewcommand{\pmdraw@ifDiagWDots}{0}% Reset if drawing a diagram with dots
\pmdraw@hookAfterDiagram% Hook after drawing diagrams
\end{tikzpicture}%
\,% Add space
\else% If drawing diagram in normal text
\raisebox{2cm}{% Raise diagram so bottom row is on text baseline
\ifnum\pmdraw@ifGrid=1% If displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=-1.095cm,show grid=true,apply style/.expand once=\pmdraw@tikz]%
\else% If not displaying helper grid
\begin{tikzpicture}[scale=.5,baseline=-1.095cm,apply style/.expand once=\pmdraw@tikz]%
\fi%
\pmdraw@hookBeforeDiagram% Hook before drawing diagrams
\pmdraw@AedgesLoop% Commences loop for added edges to be drawn
#2%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifDiagWDots}{1}% Flags that diagram has dot
\renewcommand{\pmdraw@ifProdDiag}{1}% Flags that diagram is product
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\pmdraw@bricksLoop% Commences loop for each brick to be drawn
#4%
\pmdEmpty% Terminates loop
\renewcommand{\pmdraw@ifProdDiag}{0}% Resets flag that diagram is product
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\begin{scope}[shift={(0,-\pmdraw@diagSep-\pmdraw@rowSep-\pmdraw@vertexSep)}]% Shift coordinates to be underneath top diagram
\pmdraw@AedgesLoop% Commences loop for bottom added edges to be drawn
#3%
\pmdEmpty% Terminates loop
\pmdraw@bricksLoop% Commences loop for each middle brick to be drawn
#5%
\pmdEmpty% Terminates loop
\setcounter{pmdraw@ifDiagWDotsFirst}{1}% Reset if drawing first brick of diagram
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\begin{scope}[shift={(0,-\pmdraw@diagSep-\pmdraw@rowSep-\pmdraw@vertexSep)}]% Shift coordinates to be underneath middle diagram
\pmdraw@bricksLoop% Commences loop for each bottom brick to be drawn
#6%
\pmdEmpty% Terminates loop
\setcounter{pmdraw@brickShift}{0}% Reset shifting of individual bricks
\end{scope}%
\end{scope}%
\renewcommand{\pmdraw@ifDiagWDots}{0}% Reset if drawing a diagram with dots
\pmdraw@hookAfterDiagram% Hook after drawing diagrams
\end{tikzpicture}%
}%
\fi%
\pmdraw@reset% Resets user keys and other flags to default values
}
\newcommand{\pmdSetDefault}[1]{% Sets the entered styles as the default
\setkeys{pmdraw@default}{#1}%
}
\newcommand{\pmdSetToOriginalDefault}{% Sets the styles as the default of the package
\setkeys{pmdraw@default}{% Saves values
brick={% Sets default for brick keys
degree=0,
degree bottom=0,
degree top=0,
blank bottom=0,
blank top=0,
row sep=2,
no vertex bottom 1=-1,
no vertex bottom 2=-1,
no vertex bottom 3=-1,
no vertex bottom 4=-1,
no vertex bottom 5=-1,
no vertex bottom 6=-1,
no vertex bottom 7=-1,
no vertex bottom 8=-1,
no vertex bottom 9=-1,
no vertex top 1=-1,
no vertex top 2=-1,
no vertex top 3=-1,
no vertex top 4=-1,
no vertex top 5=-1,
no vertex top 6=-1,
no vertex top 7=-1,
no vertex top 8=-1,
no vertex top 9=-1,
labels=0,
labels bottom=0,
labels top=0,
labels start=1,
labels bottom start=1,
labels top start=1,
no label bottom 1=-1,
no label bottom 2=-1,
no label bottom 3=-1,
no label bottom 4=-1,
no label bottom 5=-1,
no label bottom 6=-1,
no label bottom 7=-1,
no label bottom 8=-1,
no label bottom 9=-1,
no label top 1=-1,
no label top 2=-1,
no label top 3=-1,
no label top 4=-1,
no label top 5=-1,
no label top 6=-1,
no label top 7=-1,
no label top 8=-1,
no label top 9=-1,
labels bottom draw={},
labels bottom node={},
labels top draw={},
labels top node={},
dots draw={},
dots node={},
vertices bottom phantom=0,
vertices top phantom=0,
vertices bottom uncover={1-},
vertices top uncover={1-},
levels=1,
levels bottom=1,
levels top=1,
levels sep=(0.5*\pmdraw@rowSep)/2,
levels sep bottom=(0.5*\pmdraw@rowSep)/2,
levels sep top=(0.5*\pmdraw@rowSep)/2,
edges first=0,
transversals first=0,
edges phantom=0,
edges uncover={1-},
brace draw={},
brace node={},
decorate before={},
decorate after={}
}
}
\setkeys{pmdraw@default}{% Saves values
NTedges={% Sets default for non-transversal edge keys
level=1,
height=-1000,
edge draw={},
phantom=0,
uncover={1-}
}
}
\setkeys{pmdraw@default}{% Saves values
Tedges={% Sets default for transversal edge keys
edge draw={},
phantom=0,
uncover={1-}
}
}
\setkeys{pmdraw@default}{% Saves values
brace={% Sets default for brace keys
left=0,
right=0,
above=0
}
}
\setkeys{pmdraw@default}{% Saves values
diagram={% Sets default for diagram keys
row sep=2,
tikz={},
grid=0,
decorate before={},
decorate after={},
diagram sep=1,
vertex sep=0,
edges added phantom=0,
edges added uncover={1-}
}
}
\renewcommand{\pmdraw@drawVertexOptionsDefault}{}% Resets default draw options for vertices
\renewcommand{\pmdraw@drawLedgesDrawOptionsDefault}{}% Resets default draw options for lower non-transversal edges
\renewcommand{\pmdraw@drawUedgesDrawOptionsDefault}{}% Resets default draw options for upper non-transversal edges
\renewcommand{\pmdraw@drawTedgesDrawOptionsDefault}{}% Resets Default draw options for transversal edges
\renewcommand{\pmdraw@drawAedgesOptionsDefault}{}% Resets default draw options for added edges in product diagram
}
\pmdSetToOriginalDefault% Sets original default values
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% For loop commands %
% - loosely ordered alphabetically %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\pmdraw@AedgesLoop}{% Starts loop for added edges in product diagram
\@ifnextchar\pmdEmpty{}{% If not at end of list
\pmdraw@drawAedges% Draw each edge
}%
}
\newcommand{\pmdraw@bricksLoop}{% Starts loop to iterate over each brick in diagram
\@ifnextchar\pmdEmpty{}{% If not at end of list
\pmdraw@drawBrickInit% Draw each brick
}%
}
\newcommand{\pmdraw@LedgesLoop}{% Starts loop for lower non-transversal edges
\@ifnextchar\pmdEmpty{}{% If not at end of list
\pmdraw@drawLedges% Draw each edge
}%
}
\newcommand{\pmdraw@TedgesLoop}{% Starts loop for transversal edges
\@ifnextchar\pmdEmpty{}{% If not at end of list
\pmdraw@drawTedges% Draw each edge
}%
}
\newcommand{\pmdraw@UedgesLoop}{% Starts loop for upper non-transversal edges
\@ifnextchar\pmdEmpty{}{% If not at end of list
\pmdraw@drawUedges% Draw each edge
}%
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Draw commands %
% - loosely ordered alphabetically %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\pmdraw@drawBottomVertices}{% Draws bottom row of vertices
\setcounter{pmdraw@bottomTotal}{\value{pmdraw@blankB}}% Store size of bottom row of vertices
\addtocounter{pmdraw@bottomTotal}{\value{pmdraw@degreeB}}% Store size of bottom row of vertices
\ifnum\value{pmdraw@ifDiagWDotsFirst}=1% If drawing first brick of diagram
\setcounter{pmdraw@ifDiagWDotsFirst}{0}% Mark that first brick has been drawn
\else% If not drawing first brick of diagram
\pmdraw@drawDots{0.5*\value{pmdraw@topShift}+0.5*\value{pmdraw@blankT}}{\pmdraw@rowSep}% Draw upper dots
\pmdraw@drawDots{0.5*\value{pmdraw@bottomShift}+0.5*\value{pmdraw@blankB}}{0}% Draw lower dots
\fi%
\ifnum\value{pmdraw@topTotal}>\value{pmdraw@bottomTotal}% If top row is longer than bottom row
\ifnum\pmdraw@ifDiagWDots=1% If drawing a diagram with dots
\addtocounter{pmdraw@brickShift}{\value{pmdraw@topTotal}}% Keep track of size of diagram
% Store shifts
\setcounter{pmdraw@topShift}{-\value{pmdraw@topTotal}}%
\addtocounter{pmdraw@topShift}{\value{pmdraw@topTotal}}%
\setcounter{pmdraw@bottomShift}{-\value{pmdraw@topTotal}}%
\addtocounter{pmdraw@bottomShift}{\value{pmdraw@bottomTotal}}%
\else% If drawing a diagram without dots
\setcounter{pmdraw@brickShift}{\value{pmdraw@topTotal}}% Keep track of size of diagram
\fi%
\else% If bottom row is longer than top row
\ifnum\pmdraw@ifDiagWDots=1% If drawing a diagram with dots
\addtocounter{pmdraw@brickShift}{\value{pmdraw@bottomTotal}}% Keep track of size of diagram
% Store shifts
\setcounter{pmdraw@topShift}{-\value{pmdraw@bottomTotal}}%
\addtocounter{pmdraw@topShift}{\value{pmdraw@topTotal}}%
\setcounter{pmdraw@bottomShift}{-\value{pmdraw@bottomTotal}}%
\addtocounter{pmdraw@bottomShift}{\value{pmdraw@bottomTotal}}%
\else% If drawing a diagram without dots
\setcounter{pmdraw@brickShift}{\value{pmdraw@bottomTotal}}% Keep track of size of diagram
\fi%
\fi%
\foreach \x in {1,...,\value{pmdraw@degreeB}} {% For each vertex in row
\ifnum\pmdraw@drawNoVertexBa=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexBb=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexBc=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexBd=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexBe=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexBf=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexBg=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexBh=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexBi=\x\else% If not skipping vertex
\pmdraw@drawVertex{\x + \value{pmdraw@blankB}}{0}% Draw lower vertex
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\ifnum\pmdraw@drawNoLabelBa=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelBb=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelBc=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelBd=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelBe=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelBf=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelBg=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelBh=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelBi=\x\else% If not skipping label
\ifnum\pmdraw@ifLabelsB=1% If drawing labels
\pmdraw@drawLabelBottom{\x + \value{pmdraw@blankT}}{0}{\thepmdraw@labelStartB}% Draw label
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\stepcounter{pmdraw@labelStartB}% Update label counter
}%
}
\newcommand{\pmdraw@drawBrickInit}[1]{% Initialises the drawing of a brick
\ifnum\value{pmdraw@ifDiagWDotsFirst}=0% If not drawing first brick in diagram
\stepcounter{pmdraw@brickShift}% Makes space for dots to left of current brick
\fi%
\begin{scope}[shift={(\value{pmdraw@brickShift},0)}]% Shift brick to the right of already drawn bricks
\pmdraw@drawBrick#1% Draw brick
\end{scope}%
\pmdraw@bricksLoop% Restart for loop
}
\newcommand{\pmdraw@drawBrick}[4][]{% Draws a brick
% #1 Options
% #2 Upper non-transversal edges, as list [<options>]{<left vertex>}{<right vertex>}, eg [level=1]{2}{3}
% #3 Lower non-transversal edges, as list [<options>]{<left vertex>}{<right vertex>}, eg [level=1]{2}{3}
% #4 Transversals, as list [<options>]{<upper vertex>}{<lower vertex>}, eg [level=1]{2}{3}
\setkeys{pmdraw@brick}{% Set default values for brick keys
degree bottom=\usevalue{degree bottom},
degree top=\usevalue{degree top},
blank bottom=\usevalue{blank bottom},
blank top=\usevalue{blank top},
row sep=\usevalue{row sep},
no vertex bottom 1=\usevalue{no vertex bottom 1},
no vertex bottom 2=\usevalue{no vertex bottom 2},
no vertex bottom 3=\usevalue{no vertex bottom 3},
no vertex bottom 4=\usevalue{no vertex bottom 4},
no vertex bottom 5=\usevalue{no vertex bottom 5},
no vertex bottom 6=\usevalue{no vertex bottom 6},
no vertex bottom 7=\usevalue{no vertex bottom 7},
no vertex bottom 8=\usevalue{no vertex bottom 8},
no vertex bottom 9=\usevalue{no vertex bottom 9},
no vertex top 1=\usevalue{no vertex top 1},
no vertex top 2=\usevalue{no vertex top 2},
no vertex top 3=\usevalue{no vertex top 3},
no vertex top 4=\usevalue{no vertex top 4},
no vertex top 5=\usevalue{no vertex top 5},
no vertex top 6=\usevalue{no vertex top 6},
no vertex top 7=\usevalue{no vertex top 7},
no vertex top 8=\usevalue{no vertex top 8},
no vertex top 9=\usevalue{no vertex top 9},
labels=\usevalue{labels},
labels bottom=\usevalue{labels bottom},
labels top=\usevalue{labels top},
labels start=\usevalue{labels start},
labels bottom start=\usevalue{labels bottom start},
labels top start=\usevalue{labels top start},
no label bottom 1=\usevalue{no label bottom 1},
no label bottom 2=\usevalue{no label bottom 2},
no label bottom 3=\usevalue{no label bottom 3},
no label bottom 4=\usevalue{no label bottom 4},
no label bottom 5=\usevalue{no label bottom 5},
no label bottom 6=\usevalue{no label bottom 6},
no label bottom 7=\usevalue{no label bottom 7},
no label bottom 8=\usevalue{no label bottom 8},
no label bottom 9=\usevalue{no label bottom 9},
no label top 1=\usevalue{no label top 1},
no label top 2=\usevalue{no label top 2},
no label top 3=\usevalue{no label top 3},
no label top 4=\usevalue{no label top 4},
no label top 5=\usevalue{no label top 5},
no label top 6=\usevalue{no label top 6},
no label top 7=\usevalue{no label top 7},
no label top 8=\usevalue{no label top 8},
no label top 9=\usevalue{no label top 9},
labels bottom draw=\usevalue{labels bottom draw},
labels bottom node=\usevalue{labels bottom node},
labels top draw=\usevalue{labels top draw},
labels top node=\usevalue{labels top node},
dots draw=\usevalue{dots draw},
dots node=\usevalue{dots node},
vertices bottom phantom=\usevalue{vertices bottom phantom},
vertices top phantom=\usevalue{vertices top phantom},
vertices bottom uncover=\usevalue{vertices bottom uncover},
vertices top uncover=\usevalue{vertices top uncover},
levels=\usevalue{levels},
levels bottom=\usevalue{levels bottom},
levels top=\usevalue{levels top},
levels sep=\usevalue{levels sep},
levels sep bottom=\usevalue{levels sep bottom},
levels sep top=\usevalue{levels sep top},
edges first=\usevalue{edges first},
transversals first=\usevalue{transversals first},
edges phantom=\usevalue{edges phantom},
edges uncover=\usevalue{edges uncover},
brace draw=\usevalue{brace draw},
brace node=\usevalue{brace node},
decorate before=\usevalue{decorate before},
decorate after=\usevalue{decorate after}
}%
\setkeys{pmdraw@brick}{levels,#1}% Processes options and set default levels
\pmdraw@hookBeforeBrick% Hook before drawing brick
\ifnum\pmdraw@ifEdgesFirst=0% If drawing vertices first
\@ifclassloaded{beamer}{% If in beamer
\uncover<\pmdraw@verticesTopUncover>{% Uncovers top vertices
\ifnum\value{pmdraw@ifVerticesTop}=0% If drawing top vertices
\pmdraw@drawTopVertices% Draw base diagram
\else% If hiding top vertices
\phantom{%
\pmdraw@drawTopVertices% Draw base diagram
}%
\fi%
}%
\uncover<\pmdraw@verticesBottomUncover>{% Uncovers bottom vertices
\ifnum\value{pmdraw@ifVerticesBottom}=0% If drawing bottom vertices
\pmdraw@drawBottomVertices% Draw base diagram
\else% If hiding top vertices
\phantom{%
\pmdraw@drawBottomVertices% Draw base diagram
}%
\fi%
}%
\uncover<\pmdraw@edgesUncover>{% Uncovers edges
\ifnum\value{pmdraw@ifEdges}=0% If drawing edges
\ifnum\pmdraw@ifTedgesFirst=0% If drawing non-transversals first
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\else% If drawing transversal first
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\fi%
\else% If hiding edges
\phantom{%
\ifnum\pmdraw@ifTedgesFirst=0% If drawing non-transversals first
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\else% If drawing transversal first
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\fi%
}%
\fi%
}%
}{% If not in beamer
\ifnum\value{pmdraw@ifVerticesTop}=0% If drawing top vertices
\pmdraw@drawTopVertices% Draw base diagram
\else% If hiding top vertices
\phantom{%
\pmdraw@drawTopVertices% Draw base diagram
}%
\fi%
\ifnum\value{pmdraw@ifVerticesBottom}=0% If drawing bottom vertices
\pmdraw@drawBottomVertices% Draw base diagram
\else% If hiding top vertices
\phantom{%
\pmdraw@drawBottomVertices% Draw base diagram
}%
\fi%
\ifnum\value{pmdraw@ifEdges}=0% If drawing edges
\ifnum\pmdraw@ifTedgesFirst=0% If drawing non-transversals first
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\else% If drawing transversal first
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\fi%
\else% If hiding edges
\phantom{%
\ifnum\pmdraw@ifTedgesFirst=0% If drawing non-transversals first
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\else% If drawing transversal first
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\fi%
}%
\fi%
}%
\else% If drawing edges first
\@ifclassloaded{beamer}{% If in beamer
\uncover<\pmdraw@edgesUncover>{% Uncovers edges
\ifnum\value{pmdraw@ifEdges}=0% If drawing edges
\ifnum\pmdraw@ifTedgesFirst=0% If drawing non-transversals first
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\else% If drawing transversal first
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\fi%
\else% If hiding edges
\phantom{%
\ifnum\pmdraw@ifTedgesFirst=0% If drawing non-transversals first
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\else% If drawing transversal first
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\fi%
}%
\fi%
}%
\uncover<\pmdraw@verticesTopUncover>{% Uncovers top vertices
\ifnum\value{pmdraw@ifVerticesTop}=0% If drawing top vertices
\pmdraw@drawTopVertices% Draw base diagram
\else% If hiding top vertices
\phantom{%
\pmdraw@drawTopVertices% Draw base diagram
}%
\fi%
}%
\uncover<\pmdraw@verticesBottomUncover>{% Uncovers bottm vertices
\ifnum\value{pmdraw@ifVerticesBottom}=0% If drawing bottom vertices
\pmdraw@drawBottomVertices% Draw base diagram
\else% If hiding top vertices
\phantom{%
\pmdraw@drawBottomVertices% Draw base diagram
}%
\fi%
}%
}{% If not in beamer
\ifnum\value{pmdraw@ifEdges}=0% If drawing edges
\ifnum\pmdraw@ifTedgesFirst=0% If drawing non-transversals first
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\else% If drawing transversal first
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\fi%
\else% If hiding edges
\phantom{%
\ifnum\pmdraw@ifTedgesFirst=0% If drawing non-transversals first
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\else% If drawing transversal first
\pmdraw@TedgesLoop% Draws transversals
#4%
\pmdEmpty%
\pmdraw@UedgesLoop% Draws upper edges
#2%
\pmdEmpty%
\pmdraw@LedgesLoop% Draws lower edges
#3%
\pmdEmpty%
\fi%
}%
\fi%
\ifnum\value{pmdraw@ifVerticesTop}=0% If drawing top vertices
\pmdraw@drawTopVertices% Draw base diagram
\else% If hiding top vertices
\phantom{%
\pmdraw@drawTopVertices% Draw base diagram
}%
\fi%
\ifnum\value{pmdraw@ifVerticesBottom}=0% If drawing bottom vertices
\pmdraw@drawBottomVertices% Draw base diagram
\else% If hiding top vertices
\phantom{%
\pmdraw@drawBottomVertices% Draw base diagram
}%
\fi%
}%
\fi%
\pmdraw@hookAfterBrick% Hook after drawing brick
% Resets user keys and other flags to default values
\renewcommand{\pmdraw@drawBraceDrawOptions}{}%
\renewcommand{\pmdraw@drawBraceNodeOptions}{}%
\renewcommand{\pmdraw@drawDotsDrawOptions}{}%
\renewcommand{\pmdraw@drawDotsNodeOptions}{}%
\renewcommand{\pmdraw@drawLabelBDrawOptions}{}%
\renewcommand{\pmdraw@drawLabelBNodeOptions}{}%
\renewcommand{\pmdraw@drawLabelTDrawOptions}{}%
\renewcommand{\pmdraw@drawLabelTNodeOptions}{}%
\renewcommand{\pmdraw@drawLedgesDrawOptions}{}%
\renewcommand{\pmdraw@drawNoLabelBa}{-1}%
\renewcommand{\pmdraw@drawNoLabelBb}{-1}%
\renewcommand{\pmdraw@drawNoLabelBc}{-1}%
\renewcommand{\pmdraw@drawNoLabelBd}{-1}%
\renewcommand{\pmdraw@drawNoLabelBe}{-1}%
\renewcommand{\pmdraw@drawNoLabelBf}{-1}%
\renewcommand{\pmdraw@drawNoLabelBg}{-1}%
\renewcommand{\pmdraw@drawNoLabelBh}{-1}%
\renewcommand{\pmdraw@drawNoLabelBi}{-1}%
\renewcommand{\pmdraw@drawNoLabelTa}{-1}%
\renewcommand{\pmdraw@drawNoLabelTb}{-1}%
\renewcommand{\pmdraw@drawNoLabelTc}{-1}%
\renewcommand{\pmdraw@drawNoLabelTd}{-1}%
\renewcommand{\pmdraw@drawNoLabelTe}{-1}%
\renewcommand{\pmdraw@drawNoLabelTf}{-1}%
\renewcommand{\pmdraw@drawNoLabelTg}{-1}%
\renewcommand{\pmdraw@drawNoLabelTh}{-1}%
\renewcommand{\pmdraw@drawNoLabelTi}{-1}%
\renewcommand{\pmdraw@drawNoVertexBa}{-1}%
\renewcommand{\pmdraw@drawNoVertexBb}{-1}%
\renewcommand{\pmdraw@drawNoVertexBc}{-1}%
\renewcommand{\pmdraw@drawNoVertexBd}{-1}%
\renewcommand{\pmdraw@drawNoVertexBe}{-1}%
\renewcommand{\pmdraw@drawNoVertexBf}{-1}%
\renewcommand{\pmdraw@drawNoVertexBg}{-1}%
\renewcommand{\pmdraw@drawNoVertexBh}{-1}%
\renewcommand{\pmdraw@drawNoVertexBi}{-1}%
\renewcommand{\pmdraw@drawNoVertexTa}{-1}%
\renewcommand{\pmdraw@drawNoVertexTb}{-1}%
\renewcommand{\pmdraw@drawNoVertexTc}{-1}%
\renewcommand{\pmdraw@drawNoVertexTd}{-1}%
\renewcommand{\pmdraw@drawNoVertexTe}{-1}%
\renewcommand{\pmdraw@drawNoVertexTf}{-1}%
\renewcommand{\pmdraw@drawNoVertexTg}{-1}%
\renewcommand{\pmdraw@drawNoVertexTh}{-1}%
\renewcommand{\pmdraw@drawNoVertexTi}{-1}%
\renewcommand{\pmdraw@drawTedgesDrawOptions}{}%
\renewcommand{\pmdraw@drawUedgesDrawOptions}{}%
\renewcommand{\pmdraw@drawVertexOptions}{}%
\renewcommand{\pmdraw@hookBeforeBrick}{}%
\renewcommand{\pmdraw@hookAfterBrick}{}%
\renewcommand{\pmdraw@ifEdgesFirst}{0}%
\renewcommand{\pmdraw@ifLabelsB}{0}%
\renewcommand{\pmdraw@ifLabelsT}{0}%
\renewcommand{\pmdraw@ifTedgesFirst}{0}%
\renewcommand{\pmdraw@edgesUncover}{1-}%
\renewcommand{\pmdraw@verticesBottomUncover}{1-}%
\renewcommand{\pmdraw@verticesTopUncover}{1-}%
\let\pmdraw@drawLabelBottom\pmdraw@drawLabelBottomDefault%
\let\pmdraw@drawLabelTop\pmdraw@drawLabelTopDefault%
\let\pmdraw@drawLabelBottom\pmdraw@drawLabelBottomDefault%
\let\pmdraw@drawVertex\pmdraw@drawVertexDefault%
\setcounter{pmdraw@blankB}{0}%
\setcounter{pmdraw@blankT}{0}%
\setcounter{pmdraw@labelStartB}{1}%
\setcounter{pmdraw@labelStartT}{1}%
\setcounter{pmdraw@ifEdges}{0}%
\setcounter{pmdraw@ifVerticesBottom}{0}%
\setcounter{pmdraw@ifVerticesTop}{0}%
}
\newcommand{\pmdraw@drawLedges}[3][]{% Draws lower non-transversal edge, #1 options, #2 L vertex, #3 R vertex
\setcounter{pmdraw@NTlevel}{1}% Store default level of edge
\setkeys{pmdraw@NTedges}{% Sets default non-transversal edge keys
level=\usevalue{level},
height=\usevalue{height},
edge draw=\usevalue{edge draw},
phantom=\usevalue{phantom},
uncover=\usevalue{uncover}
}%
\setkeys{pmdraw@NTedges}{#1}% Processes options
\ifdim\pmdraw@NTedgesHeight pt=-1000pt% If using default heights
\tikzmath{%
\pmdraw{edgeHeight}=\value{pmdraw@NTlevel}*\pmdraw{edgeSepL};% Calculates height based on level of edge
}%
\else% If using manual heights
\tikzmath{%
\pmdraw{edgeHeight}=\pmdraw@NTedgesHeight;% Set manual height
}%
\fi%
\@ifclassloaded{beamer}{% If in beamer
\uncover<\pmdraw@edgeUncover>{% Uncovers edge
\ifnum\value{pmdraw@ifEdge}=0% If drawing edge
\pmdraw@drawLedgesDraw{#2}{#3}% Draw edge
\else% If hiding edge
\phantom{%
\pmdraw@drawLedgesDraw{#2}{#3}% Draw edge
}%
\fi%
}%
}{% If not in beamer
\ifnum\value{pmdraw@ifEdge}=0% If drawing edge
\pmdraw@drawLedgesDraw{#2}{#3}% Draw edge
\else% If hiding edge
\phantom{%
\pmdraw@drawLedgesDraw{#2}{#3}% Draw edge
}%
\fi%
}%
% Resets user keys and other flags to default values
\renewcommand{\pmdraw@NTedgesHeight}{-1000}%
\renewcommand{\pmdraw@edgeUncover}{1-}%
\setcounter{pmdraw@ifEdge}{0}%
\let\pmdraw@drawLedgesDraw\pmdraw@drawLedgesDrawDefault%
\pmdraw@LedgesLoop% Restart for loop
}
\newcommand{\pmdraw@drawTedges}[3][]{% Draws transversal edge, #1 options, #2 upper vertex, #3 lower vertex
\setkeys{pmdraw@Tedges}{% Sets default key values for transversal edges
edge draw=\usevalue{edge draw},
phantom=\usevalue{phantom},
uncover=\usevalue{uncover}
}%
\setkeys{pmdraw@Tedges}{#1}% Processes options
\@ifclassloaded{beamer}{% If in beamer
\uncover<\pmdraw@edgeUncover>{% Uncovers edge
\ifnum\value{pmdraw@ifEdge}=0% If drawing edge
\pmdraw@drawTedgesDraw{#2}{#3}% Draw edge
\else% If hiding edge
\phantom{%
\pmdraw@drawTedgesDraw{#2}{#3}% Draw edge
}%
\fi%
}%
}{% If not in beamer
\ifnum\value{pmdraw@ifEdge}=0% If drawing edge
\pmdraw@drawTedgesDraw{#2}{#3}% Draw edge
\else% If hiding edge
\phantom{%
\pmdraw@drawTedgesDraw{#2}{#3}% Draw edge
}%
\fi%
}%
% Resets user keys and other flags to default values
\renewcommand{\pmdraw@edgeUncover}{1-}%
\setcounter{pmdraw@ifEdge}{0}%
\let\pmdraw@drawTedgesDraw\pmdraw@drawTedgesDrawDefault%
\pmdraw@TedgesLoop% Restart for loop
}
\newcommand{\pmdraw@drawTopVertices}{% Draws top row of vertices
\setcounter{pmdraw@topTotal}{\value{pmdraw@blankT}}% Store size of top row of vertices
\addtocounter{pmdraw@topTotal}{\value{pmdraw@degreeT}}% Store size of top row of vertices
\foreach \x in {1,...,\value{pmdraw@degreeT}} {% For each vertex in row
\ifnum\pmdraw@drawNoVertexTa=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexTb=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexTc=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexTd=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexTe=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexTf=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexTg=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexTh=\x\else% If not skipping vertex
\ifnum\pmdraw@drawNoVertexTi=\x\else% If not skipping vertex
\pmdraw@drawVertex{\x + \value{pmdraw@blankT}}{\pmdraw@rowSep}% Draw upper vertex
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\ifnum\pmdraw@drawNoLabelTa=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelTb=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelTc=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelTd=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelTe=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelTf=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelTg=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelTh=\x\else% If not skipping label
\ifnum\pmdraw@drawNoLabelTi=\x\else% If not skipping label
\ifnum\pmdraw@ifLabelsT=1% If drawing labels
\pmdraw@drawLabelTop{\x + \value{pmdraw@blankT}}{\pmdraw@rowSep}{\thepmdraw@labelStartT}% Draw label
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\fi%
\stepcounter{pmdraw@labelStartT}% Update label counter
}%
}
\newcommand{\pmdraw@drawUedges}[3][]{% Draws upper non-transversal edge, #1 options, #2 L vertex, #3 R vertex
\setcounter{pmdraw@NTlevel}{1}% Store default level of edge
\setkeys{pmdraw@NTedges}{% Sets default non-transversal edge keys
level=\usevalue{level},
height=\usevalue{height},
edge draw=\usevalue{edge draw},
phantom=\usevalue{phantom},
uncover=\usevalue{uncover}
}%
\setkeys{pmdraw@NTedges}{#1}% Processes options
\ifdim\pmdraw@NTedgesHeight pt=-1000pt% If using default heights
\tikzmath{%
\pmdraw{edgeHeight}=\value{pmdraw@NTlevel}*\pmdraw{edgeSepU};% Calculates height based on level of edge
}%
\else% If using manual heights
\tikzmath{%
\pmdraw{edgeHeight}=\pmdraw@rowSep-\pmdraw@NTedgesHeight;% Set manual height
}%
\fi%
\@ifclassloaded{beamer}{% If in beamer
\uncover<\pmdraw@edgeUncover>{% Uncovers edge
\ifnum\value{pmdraw@ifEdge}=0% If drawing edge
\pmdraw@drawUedgesDraw{#2}{#3}% Draw edge
\else% If hiding edge
\phantom{%
\pmdraw@drawUedgesDraw{#2}{#3}% Draw edge
}%
\fi%
}%
}{% If not in beamer
\ifnum\value{pmdraw@ifEdge}=0% If drawing edge
\pmdraw@drawUedgesDraw{#2}{#3}% Draw edge
\else% If hiding edge
\phantom{%
\pmdraw@drawUedgesDraw{#2}{#3}% Draw edge
}%
\fi%
}%
% Resets user keys and other flags to default values
\renewcommand{\pmdraw@NTedgesHeight}{-1000}%
\renewcommand{\pmdraw@edgeUncover}{1-}%
\setcounter{pmdraw@ifEdge}{0}%
\let\pmdraw@drawLedgesDraw\pmdraw@drawLedgesDrawDefault%
\let\pmdraw@drawUedgesDraw\pmdraw@drawUedgesDrawDefault%
\pmdraw@UedgesLoop% Restart for loop
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% %
% Grid creation %
% %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% This is a verbatim copy of:
%
https://tex.stackexchange.com/a/467908
\newif\if@showgrid@grid
\newif\if@showgrid@left
\newif\if@showgrid@right
\newif\if@showgrid@below
\newif\if@showgrid@above
\tikzset{%
every show grid/.style={},
show grid/.style={execute at end picture={\@showgrid{grid=true,#1}}},%
show grid/.default={true},
show grid/.cd,
labels/.style={font={\sffamily\small},help lines},
xlabels/.style={},
ylabels/.style={},
keep bb/.code={\useasboundingbox (current bounding box.south west) rectangle (current bounding box.north west);},
true/.style={left,below},
false/.style={left=false,right=false,above=false,below=false,grid=false},
none/.style={left=false,right=false,above=false,below=false},
all/.style={left=true,right=true,above=true,below=true},
grid/.is if=@showgrid@grid,
left/.is if=@showgrid@left,
right/.is if=@showgrid@right,
below/.is if=@showgrid@below,
above/.is if=@showgrid@above,
false,
}
\def\@showgrid#1{%
\begin{scope}[every show grid,show grid/.cd,#1]
\if@showgrid@grid
\begin{pgfonlayer}{background}
\draw [help lines]
(current bounding box.south west) grid
(current bounding box.north east);
%
\pgfpointxy{1}{1}%
\edef\xs{\the\pgf@x}%
\edef\ys{\the\pgf@y}%
\pgfpointanchor{current bounding box}{south west}
\edef\xa{\the\pgf@x}%
\edef\ya{\the\pgf@y}%
\pgfpointanchor{current bounding box}{north east}
\edef\xb{\the\pgf@x}%
\edef\yb{\the\pgf@y}%
\pgfmathtruncatemacro\xbeg{ceil(\xa/\xs)}
\pgfmathtruncatemacro\xend{floor(\xb/\xs)}
\if@showgrid@below
\foreach \X in {\xbeg,...,\xend} {
\node [below,show grid/labels,show grid/xlabels] at (\X,\ya) {\X};
}
\fi
\if@showgrid@above
\foreach \X in {\xbeg,...,\xend} {
\node [above,show grid/labels,show grid/xlabels] at (\X,\yb) {\X};
}
\fi
\pgfmathtruncatemacro\ybeg{ceil(\ya/\ys)}
\pgfmathtruncatemacro\yend{floor(\yb/\ys)}
\if@showgrid@left
\foreach \Y in {\ybeg,...,\yend} {
\node [left,show grid/labels,show grid/ylabels] at (\xa,\Y) {\Y};
}
\fi
\if@showgrid@right
\foreach \Y in {\ybeg,...,\yend} {
\node [right,show grid/labels,show grid/ylabels] at (\xb,\Y) {\Y};
}
\fi
\end{pgfonlayer}
\fi
\end{scope}
}
\tikzset{every show grid/.style={show grid/keep bb}}% Keep the original bounding box!
\endinput
