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authorCarlo Zancanaro <carlo@pc-4w14-0.cs.usyd.edu.au>2012-11-27 18:20:06 +1100
committerCarlo Zancanaro <carlo@pc-4w14-0.cs.usyd.edu.au>2012-11-27 18:20:06 +1100
commit839764bd955d2bddedb4a38ab1d4d92c797c56b9 (patch)
treeba18f19658c62f5d515d1bdadbf37969f9e99711 /tex/thesis/appendices/tool-output.tex
parent8b9d3f9880824523c16a1101967987f998dc1cb4 (diff)
Thesis and performance testing related stuff.
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\chapter{Analysis tool results}
In the following output a min-cost flow operator is presented as
-\ttext{MCF<supplies,edges>(costs)}. This represents the solution to a
+{\tt MCF<supplies,edges>(costs)}. This represents the solution to a
min-cost flow problem where each node has a cost from ``supplies'',
``edges'' indicates the topology of the directed graph and ``costs''
indicates costs of the edges (which are the arguments to the
operator).
-As an example, \ttext{MCF<[1,0,-1],[2:1,2:3,1:2]>(x1, x2, x3)} is a
-representation of the following graph:
-\begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node
- distance=2cm,main node/.style={circle,fill=blue!20,draw},every
- loop/.style={min distance=1.5cm}]
-
- \node[main node] (2) {$0$};
- \node[main node] (1) [above left of=V] {$1$};
- \node[main node] (3) [above right of=V] {$-1$};
-
- \path[every node/.style={fill=none}]
- (2) edge node{x1} (1)
- (2) edge node{x2} (3)
- (1) edge node{x3} (2);
-\end{tikzpicture}
-
-\section{Bubble sort}
-
-
-\section{}
+As an example, {\tt MCF<[1,0,-1],[2:1,2:3,1:2]>(x1, x2, x3)} is a
+representation of the flow network shown in Figure
+\ref{fig:results-min-cost-flow}. The minimum cost flow of this network
+is {\tt x2 + x3}, unless {\tt x1 = $-\infty$}, in which case the
+system is infeasible and the result is $-\infty$.
+\begin{figure}[H]
+ \begin{tikzpicture}[->,>=stealth',shorten >=1pt,auto,node
+ distance=2cm,main node/.style={circle,fill=blue!20,draw},every
+ loop/.style={min distance=1.5cm}]
+
+ \node[main node] (2) {$0$};
+ \node[main node] (1) [above left of=V] {$1$};
+ \node[main node] (3) [above right of=V] {$-1$};
+
+ \path[every node/.style={fill=none}]
+ (2) edge [bend left] node{x1} (1)
+ (2) edge node [anchor=north west] {x2} (3)
+ (1) edge [bend left] node {x3} (2);
+ \end{tikzpicture}
+ \caption{An example flow network for which a min-cost flow must be
+ found}
+ \label{fig:results-min-cost-flow}
+\end{figure}
+
+The output below consists of a CFG dumped by the Clang framework,
+followed by the generated equation system for the CFG. Finally the
+equation system is solved and the bounds for each abstract variable at
+each block is printed.
+
+\lstset{basicstyle=\ttfamily\scriptsize,breaklines=true,breakatwhitespace=true,frame=lrtb}
+
+\pagebreak
+\section{Chain construction}
+\lstinputlisting{implementation/experiments/chain-output}
+
+In this example we show
+
+\pagebreak
+\section{Counter}
+\lstinputlisting{implementation/experiments/counter-output}
+
+\lstinputlisting{implementation/experiments/backwards_counter-output}
+
+\pagebreak
+\section{Nested Loops}
+\lstinputlisting{implementation/experiments/nested-output}
+
+\pagebreak
+\section{Double counting}
+\lstinputlisting{implementation/experiments/example-output}
+
+In this example
+
+\pagebreak
+\section{Fibonacci}
+\lstinputlisting{implementation/experiments/fib-output}
+
+\pagebreak
+\section{Unreachable}
+\lstinputlisting{implementation/experiments/irreducible-output}
+