diff options
Diffstat (limited to 'buch/papers/multiplikation/images')
| -rw-r--r-- | buch/papers/multiplikation/images/bigo.pdf | bin | 0 -> 28372 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/bigo.tex | 111 | ||||
| -rw-r--r-- | buch/papers/multiplikation/images/c_meas_4096.pdf | bin | 0 -> 17400 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_1024.pdf | bin | 0 -> 18813 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_c.pdf | bin | 0 -> 23161 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_c.tex | 143 | ||||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_python.pdf | bin | 0 -> 21700 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/meas_python.tex | 137 | ||||
| -rw-r--r-- | buch/papers/multiplikation/images/mm_visualisation.pdf | bin | 0 -> 21665 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/mm_visualisation.tex | 45 | ||||
| -rw-r--r-- | buch/papers/multiplikation/images/strassen.pdf | bin | 0 -> 19970 bytes | |||
| -rw-r--r-- | buch/papers/multiplikation/images/strassen.tex | 140 |
12 files changed, 576 insertions, 0 deletions
diff --git a/buch/papers/multiplikation/images/bigo.pdf b/buch/papers/multiplikation/images/bigo.pdf Binary files differnew file mode 100644 index 0000000..8a53398 --- /dev/null +++ b/buch/papers/multiplikation/images/bigo.pdf diff --git a/buch/papers/multiplikation/images/bigo.tex b/buch/papers/multiplikation/images/bigo.tex new file mode 100644 index 0000000..9ee3a68 --- /dev/null +++ b/buch/papers/multiplikation/images/bigo.tex @@ -0,0 +1,111 @@ +\documentclass[border=10pt,varwidth]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture} + +\begin{axis}[ + xmode=log, ymode=log, + xmin=1e-0, xmax=5000, + ymin=10e-1, ymax=1e7, + grid=both, + major grid style={black!50}, + xlabel = data input size, + ylabel = {time}, + legend pos=north west, + very thick, + yticklabels=\empty, + xticklabels=\empty, + scale only axis=true, + width=12cm, height=8cm, + ] +\addplot [ + domain= 1:5000, + samples=100, + color=red, +] +{1}; +\addlegendentry{$\mathcal{O}(1)$} +\addplot [ + domain= 1:5000, + samples=100, + color=green, +] +{x}; +\addlegendentry{$\mathcal{O}(n)$} +\addplot [ + domain= 1:50000, + samples=100, + color=blue, +] +{x^2}; +\addlegendentry{$\mathcal{O}\left(n^2\right)$} +\addplot [ + domain= 1:500, + samples=100, + color=purple, +] +{x^3}; +\addlegendentry{$\mathcal{O}\left(n^3\right)$} +\addplot [ + domain= 1:500, + samples=100, + color=black, +] +{exp(x) - 1.7}; +\addlegendentry{$\mathcal{O}\left(e^n\right)$} +\addplot [ + domain= 1:5000, + samples=100, + color=orange, +] +{log2(x)+1}; +\addlegendentry{$\mathcal{O}(\log n)$} + +\addplot [ + domain= 1:5000, + samples=100, + color=gray, +] +{x*log2(x)+1}; +\addlegendentry{$\mathcal{O}(n \log n)$} +\end{axis} +\end{tikzpicture} + +\end{document} diff --git a/buch/papers/multiplikation/images/c_meas_4096.pdf b/buch/papers/multiplikation/images/c_meas_4096.pdf Binary files differnew file mode 100644 index 0000000..304015a --- /dev/null +++ b/buch/papers/multiplikation/images/c_meas_4096.pdf diff --git a/buch/papers/multiplikation/images/meas_1024.pdf b/buch/papers/multiplikation/images/meas_1024.pdf Binary files differnew file mode 100644 index 0000000..70c7ec1 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_1024.pdf diff --git a/buch/papers/multiplikation/images/meas_c.pdf b/buch/papers/multiplikation/images/meas_c.pdf Binary files differnew file mode 100644 index 0000000..3a4cfd8 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_c.pdf diff --git a/buch/papers/multiplikation/images/meas_c.tex b/buch/papers/multiplikation/images/meas_c.tex new file mode 100644 index 0000000..818a7e6 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_c.tex @@ -0,0 +1,143 @@ + +\documentclass[border=10pt,varwidth]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usepackage{pgfplotstable} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture} +\begin{axis}[ +xmode=log, ymode=log, +xmin=60, xmax=5000, +ymin=1e-4, ymax=2e3, +grid=both, +major grid style={black!50}, +xlabel = data Input ($n$), +ylabel = {time ($s$)}, +legend pos=north west, +very thick, +scale only axis=true, +width=12cm, height=8cm, + log basis x={10} +] +\addlegendentry{Winograd} +\addplot[ color=purple, +] coordinates { +% (2, 0.000001) +% (4, 0.000001) +% (8, 0.000002) +% (16, 0.000011) +% (32, 0.000100) +(64, 0.000654) +(128, 0.005229) +(256, 0.057440) +(512, 0.517850) +(1024,4.539413) +(2048,130.627663) +(4096,1179.261048) +}; +\addlegendentry{Strassen} +\addplot [ color=black, +]coordinates { + % (2,0.000001 ) + % (4,0.000003 ) + % (8,0.000010 ) + % (16,0.000066 ) + % (32,0.000470 ) + (64,0.003368 ) + (128,0.024232 ) + (256,0.172000 ) + (512,1.209262 ) +(1024,8.457472 ) +(2048,59.267256) +(4096,414.648901) +}; + +\addlegendentry{MM div and conq} +\addplot[ color=green, +] coordinates { + % (2,0.000003 ) + % (4,0.000002 ) + % (8,0.000010 ) + % (16,0.000068 ) + % (32,0.000594 ) + (64,0.004264 ) + (128,0.036289 ) + (256,0.324645 ) + (512,2.612010 ) +(1024,19.928951 ) +(2048,159.333884 ) +(4096,1147.106865) +}; + +\addlegendentry{MM} +\addplot [ color=red, +]coordinates { + % (2,0.000001 ) + % (4,0.000001 ) + % (8,0.000001 ) + % (16,0.000010 ) + % (32,0.000081 ) + (64,0.000654 ) + (128,0.005556 ) + (256,0.054253 ) + (512,0.487317 ) +(1024,4.162845 ) +(2048,125.909034 ) +(4096,1111.312696) +}; +\addlegendentry{BLAS} +\addplot[ color=blue, +] coordinates { + % (2,0.000001 ) + % (4,0.000001 ) + % (8,0.000001 ) + % (16,0.000003 ) + % (32,0.000022 ) + (64,0.000179 ) + (128,0.001278 ) + (256,0.010165 ) + (512,0.074739 ) +(1024,0.704748 ) +(2048,6.845095 ) +(4096,55.845038) +}; +\end{axis} +\end{tikzpicture} + +\end{document} diff --git a/buch/papers/multiplikation/images/meas_python.pdf b/buch/papers/multiplikation/images/meas_python.pdf Binary files differnew file mode 100644 index 0000000..cea2232 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_python.pdf diff --git a/buch/papers/multiplikation/images/meas_python.tex b/buch/papers/multiplikation/images/meas_python.tex new file mode 100644 index 0000000..ee4db43 --- /dev/null +++ b/buch/papers/multiplikation/images/meas_python.tex @@ -0,0 +1,137 @@ + +\documentclass[border=10pt,varwidth]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usepackage{pgfplotstable} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture} +\begin{axis}[ +xmode=log, ymode=log, +xmin=30, xmax=1050, +ymin=0.01, ymax=900, +grid=both, +major grid style={black!50}, +xlabel = data input ($n$), +ylabel = {time ($s$)}, +legend pos=north west, +very thick, +scale only axis=true, +width=12cm, height=8cm, + log basis x={10} +] +\addlegendentry{Winograd} +\addplot[ color=purple, +] coordinates { +% (2, 2.7895e-05 ) +% (4, 0.000104904) +% (8, 0.000552893) +% (16, 0.0045557 ) +(32, 0.0187144 ) +(64, 0.153069 ) +(128, 1.19476 ) +(256, 8.29899 ) +(512, 68.3699 ) +(1024,537.374 ) + +}; +\addlegendentry{Strassen} +\addplot [ color=black, +]coordinates { + % (2,2.09808e-05 ) + % (4,0.000174284 ) + % (8,0.000943899 ) + % (16,0.00475407 ) + (32,0.0485256 ) + (64,0.220414 ) + (128,1.44718 2 ) + (256,9.93866 0 ) + (512,63.961 2 ) +(1024,461.494 2 ) +}; + +\addlegendentry{MM div and conq} +\addplot[ color=green, +] coordinates { + % (2,8.10623e-06 ) + % (4,9.01222e-05 ) + % (8,0.000729084 ) + % (16,0.00497079 ) + (32,0.02719 ) + (64,0.26528 ) + (128,1.77787 ) + (256,13.27 ) + (512,105.397 ) +(1024,847.321 ) +}; + +\addlegendentry{MM} +\addplot [ color=red, +]coordinates { + % (2,1.85966e-05) + % (4,8.29697e-05 ) + % (8,0.000547171) + % (16,0.00305367 ) + (32, 0.0240743 ) + (64, 0.186895 ) + (128, 1.56369 ) + (256, 11.0062 ) + (512, 85.4768) +(1024,750.757 ) +}; +% \addlegendentry{NumPy} +% \addplot[ color=blue, +% ] coordinates { +% (2,1.83582e-05 ) +% (4,7.86781e-06) +% (8,1.00136e-05) +% (16,5.4121e-05 ) +% (32,4.26769e-05) +% (64,0.000118494) +% (128,0.000244141 ) +% (256,0.000695705 ) +% (512,0.00221705 ) +% (1024,0.0188088 ) +% }; +\end{axis} +\end{tikzpicture} + +\end{document} + + + diff --git a/buch/papers/multiplikation/images/mm_visualisation.pdf b/buch/papers/multiplikation/images/mm_visualisation.pdf Binary files differnew file mode 100644 index 0000000..9309df1 --- /dev/null +++ b/buch/papers/multiplikation/images/mm_visualisation.pdf diff --git a/buch/papers/multiplikation/images/mm_visualisation.tex b/buch/papers/multiplikation/images/mm_visualisation.tex new file mode 100644 index 0000000..6e8f789 --- /dev/null +++ b/buch/papers/multiplikation/images/mm_visualisation.tex @@ -0,0 +1,45 @@ + + \begin{tikzpicture}[ampersand replacement=\&] + + \matrix (A)[matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] at (0,0) + { + A_{1,1} \& \cdots \& A_{1,k} \& \cdots \& A_{1,n} \\ + \vdots \& \& \vdots \& \& \vdots \\ + A_{i,1} \& \cdots \& A_{i,k} \& \cdots \& A_{i,n} \\ + \vdots \& \& \vdots \& \& \vdots \\ + A_{m,1} \& \cdots \& A_{m,k} \& \cdots \& A_{m,n} \\ + }; + + \node [right=0.1 of A] (mul) {$\cdot$}; + + + \matrix (B)[right=0.1 of mul, matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] + { + B_{1,1} \& \cdots \& B_{1,j} \& \cdots \& B_{1,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + B_{k,1} \& \cdots \& B_{k,j} \& \cdots \& B_{k,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + B_{n,1} \& \cdots \& B_{n,j} \& \cdots \& B_{n,p} \\ + }; + + \node [right=0.1 of B] (eq) {$=$}; + + \matrix (C)[right=0.1 of eq, matrix of math nodes, label skeleton, left delimiter=[,right delimiter={]}] + { + C_{1,1} \& \cdots \& C_{1,j} \& \cdots \& C_{1,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + C_{i,1} \& \cdots \& C_{i,j} \& \cdots \& C_{i,p} \\ + \vdots \& \& \vdots \& \& \vdots \\ + C_{m,1} \& \cdots \& C_{m,j} \& \cdots \& C_{m,p} \\ + }; + + + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=green, fit=(A-3-1)(A-3-5)] {}; + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=blue, fit=(B-1-3)(B-5-3)] {}; + \node[opacity=0.5, rounded corners=2pt, inner sep=-1pt, fill=red, fit=(C-3-3)] {}; + + + \end{tikzpicture} + +\end{document} + diff --git a/buch/papers/multiplikation/images/strassen.pdf b/buch/papers/multiplikation/images/strassen.pdf Binary files differnew file mode 100644 index 0000000..a30fdaa --- /dev/null +++ b/buch/papers/multiplikation/images/strassen.pdf diff --git a/buch/papers/multiplikation/images/strassen.tex b/buch/papers/multiplikation/images/strassen.tex new file mode 100644 index 0000000..5cf39b4 --- /dev/null +++ b/buch/papers/multiplikation/images/strassen.tex @@ -0,0 +1,140 @@ +\documentclass[border=10pt]{standalone} +\usepackage[left=25mm,right=25mm,top=25mm,bottom=25mm]{geometry} +\usepackage[utf8]{inputenc} +\usepackage[T1]{fontenc} +\usepackage{times} +\usepackage{geometry} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage{mathrsfs} +\usepackage{amsfonts} +\usepackage{amsthm} +\usepackage{lipsum} +\usepackage{amscd} +\usepackage{graphicx} +\usepackage{fancyhdr} +\usepackage{textcomp} +\usepackage{pgfplots} +\usepackage{txfonts} +\usepackage[all]{xy} +\usepackage{paralist} +\usepackage[colorlinks=true]{hyperref} +\usepackage{array} +\usepackage{tikz} +\usepackage{slashed} +\usepackage{pdfpages} +\usepackage{cite} +\usepackage{url} +\usepackage{amsmath,amsfonts,amssymb} +\usepackage{tikz} +\usetikzlibrary{arrows,matrix,positioning} +\usetikzlibrary{overlay-beamer-styles} +\usetikzlibrary{matrix.skeleton} +\usetikzlibrary{automata,positioning} +\usetikzlibrary{decorations.text} +\usepackage{listings} +\usepackage{multirow} +\usepackage{color} + +\begin{document} + +\begin{tikzpicture}[ampersand replacement=\&] + +\foreach \i in {1,...,4} +{ + \small{ + \matrix (X\i)[matrix of math nodes,nodes in empty cells, + nodes = {draw, minimum size=10mm, + anchor=center, + inner sep=0pt, outer sep=0pt}, + column sep=-\pgflinewidth, + row sep=-\pgflinewidth, + ] at (0,-\i*5) + { + A_{11}B_{11} \& A_{12}B_{11} \& A_{21}B_{11} \& A_{22}B_{11} \\ + A_{11}B_{21} \& A_{12}B_{21} \& A_{21}B_{21} \& A_{22}B_{21} \\ + A_{11}B_{11} \& A_{12}B_{12} \& A_{21}B_{12} \& A_{22}B_{12} \\ + A_{11}B_{22} \& A_{12}B_{22} \& A_{21}B_{22} \& A_{22}B_{22} \\ + };} + + \foreach \j in {1,...,7} + { + \matrix(M\i\j)[matrix of math nodes,nodes in empty cells, + nodes = {draw, minimum size=10mm, + anchor=center, + inner sep=0pt, outer sep=0pt}, + column sep=-\pgflinewidth, + row sep=-\pgflinewidth, + ] at (\j*5,-\i*5) + { + \& \& \& \\ + \& \& \& \\ + \& \& \& \\ + \& \& \& \\ + }; + } +} + +\huge{ + \node at (-3,-20) {$C_{22}=$}; + \node at (-3,-15) {$C_{21}=$} ; + \node at (-3,-10) {$C_{12}=$} ; + \node at (-3,-5) {$C_{11}=$} ; + + \node at (5,-2) {P}; + \node at (10,-2) {Q}; + \node at (15,-2) {R}; + \node at (20,-2) {S}; + \node at (25,-2) {T}; + \node at (30,-2) {U}; + \node at (35,-2) {V}; +} + + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X1-2-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-3-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X2-4-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X3-2-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-3-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(X4-4-4)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M11-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M14-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M14-2-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M15-4-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-2-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M17-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-2-2)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M17-4-2)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M23-3-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M23-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M25-4-2)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M32-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M34-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M34-2-4)] {}; + +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-4-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M41-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-4)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M42-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M43-3-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M43-4-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-1-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-1-1)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=green, fit=(M46-3-3)] {}; +\node[opacity=0.5, rounded corners=0pt, inner sep=-1pt, fill=red, fit=(M46-3-1)] {}; +\end{tikzpicture} + +\end{document} |