File:Algol_grammar_expr.pdf
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Summary
DescriptionAlgol grammar expr.pdf |
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 |
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\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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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 20:21, 23 August 2023 | 1,297 × 737 (28 KB) | Jochen Burghardt | Uploaded own work with UploadWizard |
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Software used | TeX |
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Conversion program | pdfTeX-1.40.22 |
Encrypted | no |
Page size | 623.622 x 354.331 pts |
Version of PDF format | 1.5 |
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