Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

1 \begin{tikzpicture}[x=1cm,y=1cm,>=Stealth,line cap=round,line join=round]
2 \path[use as bounding box] (0,-.6) rectangle (14,4.8);
3 \path[draw,fill=black!14] (1,3.9) rectangle (2.45,4.25);
4 \node[font=\small,align=center,font=\scriptsize] at (1.725,4.075) {0};
5 \path[draw,fill=black!14] (1,3.42) rectangle (2.45,3.77);
6 \node[font=\small,align=center,font=\scriptsize] at (1.725,3.595) {1};
7 \path[draw,fill=black!14] (2.85,2.94) rectangle (4.3,3.29);
8 \node[font=\small,align=center,font=\scriptsize] at (3.575,3.115) {2};
9 \path[draw,fill=black!14] (2.85,2.46) rectangle (4.3,2.81);
10 \node[font=\small,align=center,font=\scriptsize] at (3.575,2.635) {3};
11 \path[draw,fill=black!14] (4.7,1.98) rectangle (6.15,2.33);
12 \node[font=\small,align=center,font=\scriptsize] at (5.425,2.155) {4};
13 \path[draw,fill=black!14] (4.7,1.5) rectangle (6.15,1.85);
14 \node[font=\small,align=center,font=\scriptsize] at (5.425,1.675) {5};
15 \path[draw,fill=black!14] (6.55,1.02) rectangle (8,1.37);
16 \node[font=\small,align=center,font=\scriptsize] at (7.275,1.195) {6};
17 \node[font=\small,align=center,font=\scriptsize] at (1.72,0.25) {stage 1};
18 \node[font=\small,align=center,font=\scriptsize] at (3.57,0.25) {stage 2};
19 \node[font=\small,align=center,font=\scriptsize] at (5.42,0.25) {stage 3};
20 \node[font=\small,align=center,font=\scriptsize] at (7.27,0.25) {stage 4};
21 \node[font=\small,align=center,font=\small] at (10.84,4.8) {$x=(2I+K)^{-1}\mathbf1$};
22 \path[draw=black!30,fill=black!8] (10.6,3.62) rectangle (11.08,4.1);
23 \node[font=\small,align=center,font=\small] at (10.84,3.86) {$\frac{1}{2}$};
24 \path[draw=black!30,fill=black!8] (10.6,3.14) rectangle (11.08,3.62);
25 \node[font=\small,align=center,font=\small] at (10.84,3.38) {$\frac{1}{2}$};
26 \path[draw=black!30,fill=black!8] (10.6,2.66) rectangle (11.08,3.14);
27 \node[font=\small,align=center,font=\small] at (10.84,2.9) {$1$};
28 \path[draw=black!30,fill=black!8] (10.6,2.18) rectangle (11.08,2.66);
29 \node[font=\small,align=center,font=\small] at (10.84,2.42) {$\frac{3}{4}$};
30 \path[draw=black!30,fill=black!8] (10.6,1.7) rectangle (11.08,2.18);
31 \node[font=\small,align=center,font=\small] at (10.84,1.94) {$\frac{11}{8}$};
32 \path[draw=black!30,fill=black!8] (10.6,1.22) rectangle (11.08,1.7);
33 \node[font=\small,align=center,font=\small] at (10.84,1.46) {$\frac{7}{8}$};
34 \path[draw=black!30,fill=black!8] (10.6,0.74) rectangle (11.08,1.22);
35 \node[font=\small,align=center,font=\small] at (10.84,0.98) {$\frac{13}{8}$};
36 \node[font=\small,align=center,anchor=west,font=\scriptsize] at (0.35,4.42) {packet task};
37 \end{tikzpicture}

Back to source controls

Back to Paper VIII: Packet Operator Algorithms, Exact Compilation, and GPU Realization