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Diffstat (limited to 'graphics/pgf/contrib/pmdraw/pmdraw.sty')
-rw-r--r-- | graphics/pgf/contrib/pmdraw/pmdraw.sty | 1544 |
1 files changed, 1544 insertions, 0 deletions
diff --git a/graphics/pgf/contrib/pmdraw/pmdraw.sty b/graphics/pgf/contrib/pmdraw/pmdraw.sty new file mode 100644 index 0000000000..36f506b51f --- /dev/null +++ b/graphics/pgf/contrib/pmdraw/pmdraw.sty @@ -0,0 +1,1544 @@ +\NeedsTeXFormat{LaTeX2e} +\ProvidesPackage{pmdraw}[2024-06-02 v1.4 pmdraw] + +% *------------------------------* +% |7````````````````````````````4| +% |`````____````____`````````````| +% |````|MFMF\ /MFMF|````````````| +% |````|MF|MF\/MF|MF|````````````| +% |````|MF|\MFMF/|MF|_______`````| +% |````|MF|``````|MFMFMFMFMF|````| +% |````|MF|``````|MF|````````````| +% |````|MF|``````|MF|___`````````| +% |``````````````|MFMFMF|````````| +% |``````````````|MF|````````````| +% |``````````````|MF|````````````| +% |``````````````|MF|````````````| +% |3````````````````````````````4| +% *------------------------------* + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% Required packages % +% % +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +% \RequirePackage{datetime} +\RequirePackage{keyval} +\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@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@drawAedgesOptions] (\x,0) -- (\x,-\pmdraw@diagSep);% Draw concatenation edge + \else% If hiding top vertices + \phantom{% + \draw[dotted,thick,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@drawAedgesOptions] (\x,0) -- (\x,-\pmdraw@diagSep);% Draw concatenation edge + \else% If hiding top vertices + \phantom{% + \draw[dotted,thick,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@drawLedgesDrawDefault}[2]{% Draws lower non-transversal edge from #1 vertex to #2 vertex, assumes #1<#2 - DEFAULT + \draw[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@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@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@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@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@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#2,0) arc (180:90:\pmdraw{Tlevel});% Draw bottom arch + \draw[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@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@drawTedgesDrawOptions,apply style/.expand once=\pmdraw@drawEdgeDrawOptions] (#2,0) arc (0:90:\pmdraw{Tlevel});% Draw bottom arch + \draw[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@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@drawUedgesDrawDefault}[2]{% Draws upper non-transversal edge from #1 vertex to #2 vertex, assumes #1<#2 - DEFAULT + \draw[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@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@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@drawVertex}[2]{% Draws a vertex at (#1,#2) + \fill[apply style/.expand once=\pmdraw@drawVertexOptions] (#1,#2) circle (.17);% +} + +\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@brick}{degree bottom}{% Sets degree (number of vertices per row) for bottom row + \setcounter{pmdraw@degreeB}{#1}% +} +\define@key{pmdraw@brick}{degree top}{% Sets degree (number of vertices per row) for top row + \setcounter{pmdraw@degreeT}{#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@brick}{blank top}{% Sets the number of blank vertices on left of top row + \setcounter{pmdraw@blankT}{#1}% +} + +\define@key{pmdraw@brick}{row sep}{% Sets vertical separation between rows of vertices in brick + \renewcommand{\pmdraw@rowSep}{#1}% +} + +\define@key{pmdraw@brick}{vertices}{% Sets the draw options of vertices + \renewcommand{\pmdraw@drawVertexOptions}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 1}{% Sets 1st vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBa}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 2}{% Sets 2nd vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBb}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 3}{% Sets 3rd vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBc}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 4}{% Sets 4th vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBd}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 5}{% Sets 5th vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBe}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 6}{% Sets 6th vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBf}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 7}{% Sets 7th vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBg}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 8}{% Sets 8th vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBh}{#1}% +} +\define@key{pmdraw@brick}{no vertex bottom 9}{% Sets 9th vertex to skip in bottom row + \renewcommand{\pmdraw@drawNoVertexBi}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 1}{% Sets 1st vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTa}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 2}{% Sets 2nd vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTb}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 3}{% Sets 3rd vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTc}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 4}{% Sets 4th vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTd}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 5}{% Sets 5th vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTe}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 6}{% Sets 6th vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTf}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 7}{% Sets 7th vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTg}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 8}{% Sets 8th vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTh}{#1}% +} +\define@key{pmdraw@brick}{no vertex top 9}{% Sets 9th vertex to skip in top row + \renewcommand{\pmdraw@drawNoVertexTi}{#1}% +} + +\define@key{pmdraw@brick}{vertices options}{% Sets the draw command of vertices + \renewcommand{\pmdraw@drawVertex}[2]{#1}% +} + +\define@key{pmdraw@brick}{labels}[]{% Draws labels for vertices + \renewcommand{\pmdraw@ifLabelsB}{1}% + \renewcommand{\pmdraw@ifLabelsT}{1}% +} +\define@key{pmdraw@brick}{labels bottom}[]{% Draws labels for bottom vertices + \renewcommand{\pmdraw@ifLabelsB}{1}% +} +\define@key{pmdraw@brick}{labels top}[]{% Draws labels for top vertices + \renewcommand{\pmdraw@ifLabelsT}{1}% +} + +\define@key{pmdraw@brick}{labels start}{% Sets starting number for vertex labels + \setcounter{pmdraw@labelStartT}{#1}% + \setcounter{pmdraw@labelStartB}{#1}% +} +\define@key{pmdraw@brick}{labels bottom start}{% Sets starting number for bottom vertex labels + \setcounter{pmdraw@labelStartB}{#1}% +} +\define@key{pmdraw@brick}{labels top start}{% Sets starting number for top vertex labels + \setcounter{pmdraw@labelStartT}{#1}% +} + +\define@key{pmdraw@brick}{no label bottom 1}{% Sets 1st label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBa}{#1}% +} +\define@key{pmdraw@brick}{no label bottom 2}{% Sets 2nd label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBb}{#1}% +} +\define@key{pmdraw@brick}{no label bottom 3}{% Sets 3rd label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBc}{#1}% +} +\define@key{pmdraw@brick}{no label bottom 4}{% Sets 4th label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBd}{#1}% +} +\define@key{pmdraw@brick}{no label bottom 5}{% Sets 5th label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBe}{#1}% +} +\define@key{pmdraw@brick}{no label bottom 6}{% Sets 6th label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBf}{#1}% +} +\define@key{pmdraw@brick}{no label bottom 7}{% Sets 7th label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBg}{#1}% +} +\define@key{pmdraw@brick}{no label bottom 8}{% Sets 8th label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBh}{#1}% +} +\define@key{pmdraw@brick}{no label bottom 9}{% Sets 9th label to skip in bottom row + \renewcommand{\pmdraw@drawNoLabelBi}{#1}% +} +\define@key{pmdraw@brick}{no label top 1}{% Sets 1st label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTa}{#1}% +} +\define@key{pmdraw@brick}{no label top 2}{% Sets 2nd label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTb}{#1}% +} +\define@key{pmdraw@brick}{no label top 3}{% Sets 3rd label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTc}{#1}% +} +\define@key{pmdraw@brick}{no label top 4}{% Sets 4th label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTd}{#1}% +} +\define@key{pmdraw@brick}{no label top 5}{% Sets 5th label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTe}{#1}% +} +\define@key{pmdraw@brick}{no label top 6}{% Sets 6th label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTf}{#1}% +} +\define@key{pmdraw@brick}{no label top 7}{% Sets 7th label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTg}{#1}% +} +\define@key{pmdraw@brick}{no label top 8}{% Sets 8th label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTh}{#1}% +} +\define@key{pmdraw@brick}{no label top 9}{% Sets 9th label to skip in top row + \renewcommand{\pmdraw@drawNoLabelTi}{#1}% +} + +\define@key{pmdraw@brick}{labels bottom draw}{% Sets the draw options for labels of bottom vertices + \renewcommand{\pmdraw@drawLabelBDrawOptions}{#1}% +} +\define@key{pmdraw@brick}{labels bottom node}{% Sets the node options for labels of bottom vertices + \renewcommand{\pmdraw@drawLabelBNodeOptions}{#1}% +} +\define@key{pmdraw@brick}{labels top draw}{% Sets the draw options for labels of top vertices + \renewcommand{\pmdraw@drawLabelTDrawOptions}{#1}% +} +\define@key{pmdraw@brick}{labels top node}{% Sets the node options for labels of top vertices + \renewcommand{\pmdraw@drawLabelTNodeOptions}{#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}[]{% 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@brick}{dots node}{% Sets the node options for drawing of dots + \renewcommand{\pmdraw@drawDotsNodeOptions}{#1}% +} + +\define@key{pmdraw@brick}{vertices bottom phantom}[]{% Does not draw bottom vertices + \setcounter{pmdraw@ifVerticesBottom}{1}% +} +\define@key{pmdraw@brick}{vertices top phantom}[]{% Does not draw top vertices + \setcounter{pmdraw@ifVerticesTop}{1}% +} + +\define@key{pmdraw@brick}{vertices bottom uncover}{% Sets the uncover options of bottom vertices + \renewcommand{\pmdraw@verticesBottomUncover}{#1}% +} +\define@key{pmdraw@brick}{vertices top uncover}{% Sets the uncover options of top vertices + \renewcommand{\pmdraw@verticesTopUncover}{#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@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@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@brick}{levels sep}{% Sets vertical separation of horizontal levels for non-transversal edges + \tikzmath{% + \pmdraw{edgeSepU} = #1;% + \pmdraw{edgeSepL} = \pmdraw{edgeSepU};% + }% +} +\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@brick}{levels sep top}{% Sets vertical separation of upper horizontal levels for non-transversal edges + \tikzmath{% + \pmdraw{edgeSepU} = #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}{edges non-transversal}{% Sets the draw options of non-transversal edges + \renewcommand{\pmdraw@drawUedgesDrawOptions}{#1}% + \renewcommand{\pmdraw@drawLedgesDrawOptions}{#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 lower}{% Sets the draw options of lower non-transversal edges + \renewcommand{\pmdraw@drawLedgesDrawOptions}{#1}% +} +\define@key{pmdraw@brick}{edges transversal}{% Sets the draw options of transversal edges + \renewcommand{\pmdraw@drawTedgesDrawOptions}{#1}% +} + +\define@key{pmdraw@brick}{edges first}[]{% Draws edges before vertices + \renewcommand{\pmdraw@ifEdgesFirst}{1}% +} +\define@key{pmdraw@brick}{transversals first}[]{% Draws transversal edges before non-transversal edges + \renewcommand{\pmdraw@ifTedgesFirst}{1}% +} + +\define@key{pmdraw@brick}{edges phantom}[]{% Does not draw edges + \setcounter{pmdraw@ifEdges}{1}% +} + +\define@key{pmdraw@brick}{edges uncover}{% Sets the uncover options of edges + \renewcommand{\pmdraw@edgesUncover}{#1}% +} + +\define@key{pmdraw@brick}{brace}{% Draws a brace + \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@brick}{brace draw}{% Sets the draw options for drawing of brace + \renewcommand{\pmdraw@drawBraceDrawOptions}{#1}% +} +\define@key{pmdraw@brick}{brace node}{% Sets the node options for drawing of brace + \renewcommand{\pmdraw@drawBraceNodeOptions}{#1}% +} + +\define@key{pmdraw@brick}{decorate before}{% Hook for decorations before brick is drawn + \renewcommand{\pmdraw@hookBeforeBrick}{#1}% +} +\define@key{pmdraw@brick}{decorate after}{% Hook for decorations after brick is drawn + \renewcommand{\pmdraw@hookAfterBrick}{#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@NTedges}{height}{% Sets manual height of non-transversal edge + \renewcommand{\pmdraw@NTedgesHeight}{#1}% +} +\define@key{pmdraw@NTedges}{edge draw}{% Sets the draw options for drawing of edge + \renewcommand{\pmdraw@drawEdgeDrawOptions}{#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}[]{% Does not draw edge + \setcounter{pmdraw@ifEdge}{1}% +} +\define@key{pmdraw@NTedges}{uncover}{% Sets the uncover options of edge + \renewcommand{\pmdraw@edgeUncover}{#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@Tedges}{edge draw}{% Sets the draw options for drawing of edge + \renewcommand{\pmdraw@drawEdgeDrawOptions}{#1}% +} +\define@key{pmdraw@Tedges}{options}{% Sets the draw command of transversal edge + \renewcommand{\pmdraw@drawTedgesDraw}[2]{#1}% +} +\define@key{pmdraw@Tedges}{phantom}[]{% Does not draw edge + \setcounter{pmdraw@ifEdge}{1}% +} +\define@key{pmdraw@Tedges}{uncover}{% Sets the uncover options of edge + \renewcommand{\pmdraw@edgeUncover}{#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@brace}{right}{% Sets terminating position of brace + \setcounter{pmdraw@braceR}{#1}% +} +\define@key{pmdraw@brace}{label}{% Sets label of brace + \renewcommand{\pmdraw@braceLabel}{#1}% +} +\define@key{pmdraw@brace}{above}[]{% Set flag to draw brace above diagram + \renewcommand{\pmdraw@ifProdDiag}{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@diagram}{tikz}{% Sets the tikz options + \renewcommand{\pmdraw@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}[]{% Flag for drawing coordinate grid + \renewcommand{\pmdraw@ifGrid}{1}% +} +\define@key{pmdraw@diagram}{decorate before}{% Hook before drawing diagrams + \renewcommand{\pmdraw@hookBeforeDiagram}{#1}% +} +\define@key{pmdraw@diagram}{decorate after}{% Hook after drawing diagrams + \renewcommand{\pmdraw@hookAfterDiagram}{#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@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@diagram}{edges added}{% Sets the draw options for drawing of added edges in product diagram + \renewcommand{\pmdraw@drawAedgesOptions}{#1}% +} +\define@key{pmdraw@diagram}{edges added phantom}[]{% Does not draw added edges + \setcounter{pmdraw@ifEdgesAdded}{1}% +} +\define@key{pmdraw@diagram}{edges added uncover}{% Sets the uncover options of added edges + \renewcommand{\pmdraw@edgesAddedUncover}{#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}{#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}{#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 +} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +% % +% 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}{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% + \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}{#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}{#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}{#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
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