File:Algol grammar expr.pdf

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English: Shows a simplified excerpt of the formal grammar for the Algol60 programming language (left), and a derivation of a piece of Algol60 code (right, "(a+b)^2/2") from the nonterminal symbol . In the derivation, each line is obtained from the previous one by application of a grammar rule. For the original grammar, see Sect.3.3.1 "Arithmetic expressions" in the Algol60 Report.
Date
Source Own work
Author Jochen Burghardt
Other versions File:Algol grammar expr.pdf * File:Algol grammar expr svg.svg * File:C grammar stmt.pdf * File:C grammar stmt svg.svg
LaTeX source code 
\documentclass[12pt]{article}
\setlength{\unitlength}{1mm}
\usepackage[pdftex]{color}
\usepackage{amssymb}
\usepackage[paperwidth=220mm,paperheight=125mm]{geometry}
\setlength{\topmargin}{-36mm}
\setlength{\textwidth}{220mm}
\setlength{\textheight}{125mm}
\setlength{\oddsidemargin}{-23mm}
\setlength{\parindent}{0cm}
\pagestyle{empty}

\definecolor{cNontermNew}       {rgb}{0.00,0.00,0.75}
\definecolor{cNontermRep}       {rgb}{0.75,0.75,0.99}
\definecolor{cTermNew}          {rgb}{0.75,0.00,0.00}
\definecolor{cTermRep}          {rgb}{0.99,0.75,0.75}
\definecolor{cGrmBg}            {rgb}{0.95,0.95,0.95}

\newcommand{\NT}[1]{\textcolor{cNontermNew}{$\langle$#1$\rangle$}}
\newcommand{\nt}[1]{\textcolor{cNontermRep}{$\langle$#1$\rangle$}}
\newcommand{\TM}[1]{\textcolor{cTermNew}{\texttt{#1}}}
\newcommand{\tm}[1]{\textcolor{cTermRep}{\texttt{#1}}}

\begin{document}
\setlength{\tabcolsep}{0.8mm}
\newcommand{\1}{}       \newcommand{\2}[1]{\cline{#1}}  
\newcommand{\9}{\^}

\begin{picture}(0,0)%
\textcolor{cGrmBg}{\put(0,0){\makebox(0,0)[bl]{\rule{73.5mm}{93.7mm}}}}%
\end{picture}%
\begin{tabular}[b]{|rcl|}
\hline
\NT{Expr} & $\rightarrow$ & \NT{Term}   \\  
\NT{Expr} & $\rightarrow$ & \NT{AddOp} \NT{Term}        \\
\NT{Expr} & $\rightarrow$ & \NT{Expr} \NT{AddOp} \NT{Term}      \\  
\NT{Term} & $\rightarrow$ & \NT{Factor} \\
\NT{Term} & $\rightarrow$ & \NT{Term} \NT{MulOp} \NT{Factor}    \\  
\NT{Factor} & $\rightarrow$ & \NT{Primary}      \\  
\NT{Factor} & $\rightarrow$ & \NT{Factor} \TM{\9} \NT{Primary}  \\  
\NT{Primary} & $\rightarrow$ & \NT{Number}      \\  
\NT{Primary} & $\rightarrow$ & \NT{Variable}    \\  
\NT{Primary} & $\rightarrow$ & \TM{(} \NT{Expr} \TM{)}  \\  
\NT{AddOp} & $\rightarrow$ & \TM{+}     \\  
\NT{AddOp} & $\rightarrow$ & \TM{-}     \\  
\NT{MulOp} & $\rightarrow$ & \TM{*}     \\  
\NT{MulOp} & $\rightarrow$ & \TM{/}     \\  
\NT{Variable} & $\rightarrow$ & \TM{a}  \\  
\NT{Variable} & $\rightarrow$ & \TM{b}  \\  
\NT{Number} & $\rightarrow$ & \TM{2}    \\  
& $\vdots$ &    \\  
\hline
\end{tabular}
$\;\;\;\;\;\;\;\;\;$
\begin{tabular}[b]{\1c*{8}{c\1}}
%\hline
\multicolumn{9}{\1c\1}{\NT{Expr}}       \\
\2{1-9}
\multicolumn{9}{\1c\1}{\NT{Term}}       \\
\2{1-9}
\multicolumn{7}{\1c\1}{\NT{Term}}                                                      & \NT{MulOp}  & \NT{Factor}      \\
\2{1-7}
\multicolumn{7}{\1c\1}{\NT{Factor}}                                                    & \nt{MulOp}  & \nt{Factor}      \\
\2{1-7}
\multicolumn{5}{\1c\1}{\NT{Factor}}                           & \TM{\9} & \NT{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{1-5}
\multicolumn{5}{\1c\1}{\NT{Primary}}                          & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{1-5}
\TM{(} & \multicolumn{3}{\1c\1}{\NT{Expr}}        & \TM{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{2-4}
\tm{(} & \NT{Expr}    & \NT{AddOp} & \NT{Term}    & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{2-2}
\tm{(} & \NT{Term}    & \nt{AddOp} & \nt{Term}    & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{2-2}
\tm{(} & \NT{Factor}  & \nt{AddOp} & \nt{Term}    & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{2-2}
\tm{(} & \NT{Primary} & \nt{AddOp} & \nt{Term}    & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{2-2}
\tm{(} & \NT{Variable}& \nt{AddOp} & \nt{Term}    & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{2-2}
\tm{(} & \TM{a}       & \NT{AddOp} & \nt{Term}    & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{3-3}
\tm{(} & \tm{a}       & \TM{+}     & \NT{Term}    & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{4-4}
\tm{(} & \tm{a}       & \tm{+}     & \NT{Factor}  & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{4-4}
\tm{(} & \tm{a}       & \tm{+}     & \NT{Primary} & \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{4-4}
\tm{(} & \tm{a}       & \tm{+}     & \NT{Variable}& \tm{)}    & \tm{\9} & \nt{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{4-4}
\tm{(} & \tm{a}       & \tm{+}     & \TM{b}       & \tm{)}    & \tm{\9} & \NT{Primary} & \nt{MulOp}  & \nt{Factor}      \\
\2{7-7}
\tm{(} & \tm{a}       & \tm{+}     & \tm{b}       & \tm{)}    & \tm{\9} & \NT{Number}  & \nt{MulOp}  & \nt{Factor}      \\
\2{7-7}
\tm{(} & \tm{a}       & \tm{+}     & \tm{b}       & \tm{)}    & \tm{\9} & \TM{2}       & \NT{MulOp}  & \nt{Factor}      \\
\2{8-8}
\tm{(} & \tm{a}       & \tm{+}     & \tm{b}       & \tm{)}    & \tm{\9} & \tm{2}       & \TM{/}      & \NT{Factor}      \\
\2{9-9}
\tm{(} & \tm{a}       & \tm{+}     & \tm{b}       & \tm{)}    & \tm{\9} & \tm{2}       & \tm{/}      & \NT{Primary}     \\
\2{9-9}
\tm{(} & \tm{a}       & \tm{+}     & \tm{b}       & \tm{)}    & \tm{\9} & \tm{2}       & \tm{/}      & \NT{Number}      \\
\2{9-9}
\TM{(} & \TM{a}       & \TM{+}     & \TM{b}       & \TM{)}    & \TM{\9} & \TM{2}       & \TM{/}      & \TM{2}   \\
\end{tabular}
\end{document}

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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current20:21, 23 August 2023Thumbnail for version as of 20:21, 23 August 20231,297 × 737 (28 KB)Jochen Burghardt (talk | contribs)Uploaded own work with UploadWizard

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