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136 lines
5.1 KiB
TeX
136 lines
5.1 KiB
TeX
\documentclass[border=2pt]{standalone}
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\usepackage{tikz}
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\usetikzlibrary{matrix,calc}
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%internal group
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%#1-space between node and grouping line. Default=0
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%#2-top left node
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%#3-bottom right node
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\newcommand{\implicant}[3][0]{
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\draw[rounded corners=3pt] ($(#2.north west)+(135:#1)$) rectangle ($(#3.south east)+(-45:#1)$);
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}
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%group lateral borders
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%#1-space between node and grouping line. Default=0
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%#2-top left node
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%#3-bottom right node
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\newcommand{\implicantcostats}[3][0]{
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\draw[rounded corners=3pt] ($(rf.east |- #2.north)+(90:#1)$)-| ($(#2.east)+(0:#1)$) |- ($(rf.east |- #3.south)+(-90:#1)$);
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\draw[rounded corners=3pt] ($(cf.west |- #2.north)+(90:#1)$) -| ($(#3.west)+(180:#1)$) |- ($(cf.west |- #3.south)+(-90:#1)$);
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}
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%group top-bottom borders
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%#1-space between node and grouping line. Default=0
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%#2-top left node
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%#3-bottom right node
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\newcommand{\implicantdaltbaix}[3][0]{
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\draw[rounded corners=3pt] ($(cf.south -| #2.west)+(180:#1)$) |- ($(#2.south)+(-90:#1)$) -| ($(cf.south -| #3.east)+(0:#1)$);
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\draw[rounded corners=3pt] ($(rf.north -| #2.west)+(180:#1)$) |- ($(#3.north)+(90:#1)$) -| ($(rf.north -| #3.east)+(0:#1)$);
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}
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%group corners
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%#1-space between node and grouping line. Default=0
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\newcommand{\implicantcantons}[1][0]{
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\draw[rounded corners=3pt] ($(rf.east |- 0.south)+(-90:#1)$) -| ($(0.east |- cf.south)+(0:#1)$);
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\draw[rounded corners=3pt] ($(rf.east |- 8.north)+(90:#1)$) -| ($(8.east |- rf.north)+(0:#1)$);
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\draw[rounded corners=3pt] ($(cf.west |- 2.south)+(-90:#1)$) -| ($(2.west |- cf.south)+(180:#1)$);
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\draw[rounded corners=3pt] ($(cf.west |- 10.north)+(90:#1)$) -| ($(10.west |- rf.north)+(180:#1)$);
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}
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%Empty Karnaugh map 4x4
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\newenvironment{Karnaugh}%
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{
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\begin{tikzpicture}[baseline=(current bounding box.north),scale=0.8]
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\draw (0,0) grid (4,4);
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\draw (0,4) -- node [pos=0.7,above right,anchor=south west] {cd} node [pos=0.7,below left,anchor=north east] {ab} ++(135:1);
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%
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\matrix (mapa) [matrix of nodes,
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column sep={0.8cm,between origins},
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row sep={0.8cm,between origins},
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every node/.style={minimum size=0.3mm},
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anchor=8.center,
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ampersand replacement=\&] at (0.5,0.5)
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{
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\& |(c00)| 00 \& |(c01)| 01 \& |(c11)| 11 \& |(c10)| 10 \& |(cf)| \phantom{00} \\
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|(r00)| 00 \& |(0)| \phantom{0} \& |(1)| \phantom{0} \& |(3)| \phantom{0} \& |(2)| \phantom{0} \& \\
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|(r01)| 01 \& |(4)| \phantom{0} \& |(5)| \phantom{0} \& |(7)| \phantom{0} \& |(6)| \phantom{0} \& \\
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|(r11)| 11 \& |(12)| \phantom{0} \& |(13)| \phantom{0} \& |(15)| \phantom{0} \& |(14)| \phantom{0} \& \\
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|(r10)| 10 \& |(8)| \phantom{0} \& |(9)| \phantom{0} \& |(11)| \phantom{0} \& |(10)| \phantom{0} \& \\
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|(rf) | \phantom{00} \& \& \& \& \& \\
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};
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}%
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{
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\end{tikzpicture}
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}
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%Empty Karnaugh map 2x4
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\newenvironment{Karnaughvuit}%
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{
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\begin{tikzpicture}[baseline=(current bounding box.north),scale=0.8]
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\draw (0,0) grid (4,2);
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\draw (0,2) -- node [pos=0.7,above right,anchor=south west] {bc} node [pos=0.7,below left,anchor=north east] {a} ++(135:1);
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%
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\matrix (mapa) [matrix of nodes,
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column sep={0.8cm,between origins},
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row sep={0.8cm,between origins},
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every node/.style={minimum size=0.3mm},
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anchor=4.center,
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ampersand replacement=\&] at (0.5,0.5)
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{
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\& |(c00)| 00 \& |(c01)| 01 \& |(c11)| 11 \& |(c10)| 10 \& |(cf)| \phantom{00} \\
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|(r00)| 0 \& |(0)| \phantom{0} \& |(1)| \phantom{0} \& |(3)| \phantom{0} \& |(2)| \phantom{0} \& \\
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|(r01)| 1 \& |(4)| \phantom{0} \& |(5)| \phantom{0} \& |(7)| \phantom{0} \& |(6)| \phantom{0} \& \\
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|(rf) | \phantom{00} \& \& \& \& \& \\
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};
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}%
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{
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\end{tikzpicture}
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}
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%Defines 8 or 16 values (0,1,X)
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\newcommand{\contingut}[1]{%
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\foreach \x [count=\xi from 0] in {#1}
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\path (\xi) node {\x};
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}
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%Places 1 in listed positions
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\newcommand{\minterms}[1]{%
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\foreach \x in {#1}
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\path (\x) node {1};
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}
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%Places 0 in listed positions
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\newcommand{\maxterms}[1]{%
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\foreach \x in {#1}
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\path (\x) node {0};
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}
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%Places X in listed positions
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\newcommand{\indeterminats}[1]{%
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\foreach \x in {#1}
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\path (\x) node {X};
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}
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\begin{document}
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\begin{Karnaugh}
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\contingut{0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,1}
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\implicant{0}{2}
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\implicantdaltbaix[3pt]{3}{10}
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\implicantcostats{4}{14}
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\end{Karnaugh}
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\begin{Karnaugh}
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\minterms{4,10,11,13}
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\maxterms{1,3,6,7,8,9,12,14}
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\indeterminats{0,2,5,15}
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\implicant{4}{5}
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\implicant{11}{10}
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\implicant{13}{15}
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\implicantcostats{0}{2}
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\implicant[3pt]{0}{4}
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\implicant[3pt]{5}{13}
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\implicant[3pt]{15}{11}
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\implicantdaltbaix[3pt]{2}{10}
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\end{Karnaugh}
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\end{document}
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