mirror of
https://github.com/MartinThoma/LaTeX-examples.git
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57 lines
2.2 KiB
TeX
57 lines
2.2 KiB
TeX
\documentclass{article}
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\usepackage[pdftex,active,tightpage]{preview}
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\setlength\PreviewBorder{2mm}
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\usepackage[utf8]{inputenc} % this is needed for umlauts
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\usepackage[ngerman]{babel} % this is needed for umlauts
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\usepackage[T1]{fontenc} % this is needed for correct output of umlauts in pdf
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\usepackage{amssymb,amsmath,amsfonts} % nice math rendering
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\usepackage{braket} % needed for \Set
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\usepackage{caption}
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\usepackage{algorithm}
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\usepackage[noend]{algpseudocode}
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\DeclareCaptionFormat{myformat}{#3}
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\captionsetup[algorithm]{format=myformat}
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\begin{document}
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\begin{preview}
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\begin{algorithm}[H]
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\begin{algorithmic}
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\Require
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\Statex Graph $G = (V, E)$
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\Statex Weight from node $i$ to node $j$: $g_{ij}$
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\Statex Starting node $s \in V$
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\Statex End node $t \in V$
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\Statex Lower bound to get from node $j$ to $t$: $h_j$ (default: $h_j = 0$)
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\Statex Upper bound to get from node $j$ to $t$: $m_j$ (default: $m_j = \infty$)
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\Procedure{LabelCorrection}{$G$, $s$, $t$, $h_j$}
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\State $d_s \gets 0$
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\State $d_i \gets \infty \quad \forall i \neq s$ \Comment{Distance of node $i$ from $s$}
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\State $u \gets \infty$ \Comment{Distance from $s$ to $t$}
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\State $K \gets \{s\}$ \Comment{Choose some datastructure here}
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\While{$K$ is not empty}
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\State $v \gets K.pop()$
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\For{child $c$ of $v$}
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\If{$d_c + m_j < u$}
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\State $u \gets d_j + m_j$
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\EndIf
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\If{$d_v + g_{vc} + h_j < \min(d_c, u)$}
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\State $d_c \gets d_v + g_{vc}$
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\State $c.parent \gets v$
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\If{$c \neq t$ and $c \notin K$}
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\State $K.insert(c)$
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\EndIf
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\If{$c = t$}
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\State $u \gets d_v + g_{vt}$
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\EndIf
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\EndIf
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\EndFor
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\EndWhile
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\EndProcedure
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\end{algorithmic}
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\caption{Label correction algorithm}
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\label{alg:label-correction-algorithm}
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\end{algorithm}
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\end{preview}
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\end{document}
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