131 lines
5.9 KiB
TeX
131 lines
5.9 KiB
TeX
%root: main.tex
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\usetikzlibrary{shapes.geometric}%for cylinder
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\usetikzlibrary{shapes.arrows}%for arrow shape
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\usetikzlibrary{shapes.misc}
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%rid of vertical spacing for booktabs rules
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\renewcommand{\aboverulesep}{0pt}
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\renewcommand{\belowrulesep}{0pt}
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\begin{figure}[h!]
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\centering
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\resizebox{\textwidth}{5.5cm}{%
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\begin{tikzpicture}
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%pdb cylinder
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\node[cylinder, text width=0.28\textwidth, align=center, draw=black, text=black, cylinder uses custom fill, cylinder body fill=blue!10, aspect=0.12, minimum height=5cm, minimum width=2.5cm, cylinder end fill=blue!50, shape border rotate=90] (cylinder) at (0, 0) {
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\tabcolsep=0.1cm
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\begin{tabular}{>{\small}c | >{\small}c | >{\small}c}
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\multicolumn{3}{c}{$\boldsymbol{OnTime}$}\\
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%\toprule
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City$_\ell$ & $\Phi$ & \textbf{p}\\
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\midrule
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Buffalo & $L_a$ & 0.9 \\
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Chicago & $L_b$ & 0.5\\
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Bremen & $L_c$ & 0.5\\
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Zurich & $L_d$ & 1.0\\
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\end{tabular}\\
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\tabcolsep=0.05cm
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%\captionof{table}{Route}
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\begin{tabular}{>{\footnotesize}c | >{\footnotesize}c | >{\footnotesize}c | >{\footnotesize}c}
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\multicolumn{4}{c}{$\boldsymbol{Route$}}\\
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%\toprule
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$\text{City}_1$ & $\text{City}_2$ & $\Phi$ & \textbf{p} \\
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\midrule
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Buffalo & Chicago & $R_a$ & 1.0 \\
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Chicago & Zurich & $R_b$ & 1.0 \\
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%& $\cdots$ & $\cdots$ & $\cdots$ & $\cdots$ \\
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Chicago & Bremen & $R_c$ & 1.0 \\
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\end{tabular}};
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%label below cylinder
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\node[below=0.2 cm of cylinder]{{\LARGE$ \pdb$}};
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%First arrow
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\node[single arrow, right=0.25 of cylinder, draw=black, fill=black!65, text=white, minimum height=0.75cm, minimum width=0.25cm](arrow1) {\textbf{\abbrStepOne}};
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\node[above=of arrow1](arrow1Label) {$\query$};
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\usetikzlibrary{arrows.meta}%for the following arrow configurations
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\draw[line width=0.5mm, dashed, arrows = -{Latex[length=3mm, open]}] (arrow1Label)->(arrow1);
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%Query output (output of step 1)
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\node[rectangle, right=0.175 of arrow1, draw=black, text=black, fill=purple!10, minimum height=4.5cm, minimum width=2cm](rect) {
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\tabcolsep=0.075cm
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%\captionof{table}{Q}
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%\setlength{\cellspacetoplimit}{4pt}
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\begin{tabular}{>{\normalsize}c | >{\centering\arraybackslash\normalsize}m{1.95cm} | >{\centering\arraybackslash\small}m{1.95cm}}
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%\multicolumn{3}{c}{$\boldsymbol{\query(\pdb)}$}\\[1mm]
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%\toprule
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City & $\Phi$ & Circuit\\% & $\expct_{\idb \sim \probDist}[\query(\db)(t)]$ \\ \hline
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\midrule
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%\hline
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%\\\\[-3.5\medskipamount]
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Buffalo & $L_a R_a$ &\resizebox{!}{10mm}{
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\begin{tikzpicture}[thick]
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\node[gen_tree_node](sink) at (0.5, 0.8){$\boldsymbol{\circmult}$};
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\node[gen_tree_node](source1) at (0, 0){$L_a$};
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\node[gen_tree_node](source2) at (1, 0){$R_a$};
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\draw[->](source1)--(sink);
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\draw[->] (source2)--(sink);
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\end{tikzpicture}% & $0.5 \cdot 1.0 + 0.5 \cdot 1.0 = 1.0$
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}\\% & $0.9$ \\
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Chicago & $L_b(R_b + R_c)$\newline \text{Or}\newline $L_bR_b + L_bR_c$&
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\resizebox{!}{16mm} {
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\begin{tikzpicture}[thick]
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\node[gen_tree_node] (a1) at (1, 0){$R_b$};
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\node[gen_tree_node] (b1) at (2, 0){$R_c$};
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%level 1
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\node[gen_tree_node] (a2) at (0.75, 0.8){$L_b$};
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\node[gen_tree_node] (b2) at (1.5, 0.8){$\boldsymbol{\circplus}$};
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%level 0
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\node[gen_tree_node] (a3) at (1.1, 1.6){$\boldsymbol{\circmult}$};
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%edges
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\draw[->] (a1) -- (b2);
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\draw[->] (b1) -- (b2);
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\draw[->] (a2) -- (a3);
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\draw[->] (b2) -- (a3);
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\end{tikzpicture}
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}\newline\text{Or}\newline
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%%%%%%%%%%%
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%Non factorized circuit%
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%%%%%%%%%%%
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\resizebox{!}{16mm} {
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\begin{tikzpicture}[thick]
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\node[gen_tree_node] (a2) at (0, 0){$R_b$};
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\node[gen_tree_node] (b2) at (1, 0){$L_b$};
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\node[gen_tree_node] (c2) at (2, 0){$R_c$};
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%level 1
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\node[gen_tree_node] (a1) at (0.5, 0.8){$\boldsymbol{\circmult}$};
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\node[gen_tree_node] (b1) at (1.5, 0.8){$\boldsymbol{\circmult}$};
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%level 0
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\node[gen_tree_node] (a0) at (1.0, 1.6){$\boldsymbol{\circplus}$};
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%edges
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\draw[->] (a2) -- (a1);
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\draw[->] (b2) -- (a1);
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\draw[->] (b2) -- (b1);
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\draw[->] (c2) -- (b1);
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\draw[->] (a1) -- (a0);
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\draw[->] (b1) -- (a0);
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\end{tikzpicture}
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}\\
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\end{tabular}
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};
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%label below rectangle
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\node[below=0.2cm of rect]{{\LARGE $\query(\pdb)\inparen{\tup}\equiv \poly_\tup\inparen{\vct{X}}$}};
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%Second arrow
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\node[single arrow, right=0.25 of rect, draw=black, fill=black!65, text=white, minimum height=0.75cm, minimum width=0.25cm](arrow2) {\textbf{\abbrStepTwo}};
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%Expectation computation; (output of step 2)
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\node[rectangle, right=0.25 of arrow2, rounded corners, draw=black, fill=red!10, text=black, minimum height=4.5cm, minimum width=2cm](rrect) {
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\tabcolsep=0.09cm
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%\captionof{table}{Q}
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\begin{tabular}{>{\small}c | >{\centering\arraybackslash\small}m{1.95cm}}
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%\multicolumn{2}{c}{$\expct\pbox{\poly(\vct{X})}$}\\[1mm]
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%\toprule
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City & $\mathbb{E}[\poly(\vct{X})]$\\
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\midrule%[0.05pt]
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Buffalo & $1.0 \cdot 0.9 = 0.9$\\[3mm]
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Chicago & $(0.5 \cdot 1.0) + $\newline $\hspace{0.2cm}(0.5 \cdot 1.0)$\newline $= 1.0$\\
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\end{tabular}
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};
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%label of rounded rectangle
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\node[below=0.2cm of rrect]{{\LARGE $\expct\pbox{\poly(\vct{X})}$}};
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\end{tikzpicture}
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}
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\caption{Intensional Evaluation Model}
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\label{fig:two-step}
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\end{figure} |