From e84a6e387d78a76e1011ffc5e95b3484ff13da2e Mon Sep 17 00:00:00 2001 From: dsac Date: Thu, 15 Dec 2022 11:40:29 +0100 Subject: [PATCH] [beamer] proto 0 --- beamer/beamer.tex | 169 +++++++++++++++++++++++++++++++++ beamer/imgs/explicit_types.png | Bin 0 -> 158971 bytes beamer/imgs/gadt.png | Bin 0 -> 142517 bytes 3 files changed, 169 insertions(+) create mode 100644 beamer/beamer.tex create mode 100644 beamer/imgs/explicit_types.png create mode 100644 beamer/imgs/gadt.png diff --git a/beamer/beamer.tex b/beamer/beamer.tex new file mode 100644 index 0000000..4cb9ae5 --- /dev/null +++ b/beamer/beamer.tex @@ -0,0 +1,169 @@ +\documentclass{beamer} +\usepackage{tikz} +%\usepackage{minted} + +\usetikzlibrary{positioning} +\usetheme{Darmstadt} + +\begin{document} + +\section{Structure of the compiler} +\begin{frame}{Main ideas} + \begin{figure} + \begin{tikzpicture} + \node (sf) {Source file}; + \node[right =2cm of sf] (ast) {Typed AST}; + \node[right =2cm of ast] (C) {C program}; + \draw + (sf) edge[->] node[above] {parser} (ast) + (ast) edge[->] node[above] {compiler} (C); + \end{tikzpicture} + \caption{Structure of the compiler} + \end{figure} +\end{frame} + +\begin{frame}{Testing} + \begin{block}{Passes} + The passes can be split into: + \begin{itemize} + \item those checking the program validity + \item those modifying the AST of the program + \end{itemize} + \end{block} +\end{frame} + +\section{Typed AST} +\subsection{First attempt using GADTs} +\begin{frame} + \begin{block}{Main idea} + Using GADTs to represent nodes and expressions allows to ensure the + well-typedness of a program. + \end{block} + \begin{figure} + \centering + \includegraphics[width=.75\textwidth]{imgs/gadt.png} + \end{figure} +%type _ t_var = +% | BVar: ident -> bool t_var +% | IVar: ident -> int t_var +% | RVar: ident -> real t_var +% +%type _ t_expression = +% | EVar: 'a t_var -> 'a t_expression +% | EMonOp: monop * 'a t_expression -> 'a t_expression +% | EBinOp: binop * 'a t_expression * 'a t_expression -> 'a t_expression +% | ETriOp: triop * bool t_expression * 'a t_expression * 'a t_expression -> 'a t_expression +% | EComp: compop * 'a t_expression * 'a t_expression -> bool t_expression +% | EConst: 'a const -> 'a t_expression +% | ETuple: 'a t_expression * 'b t_expression -> ('a * 'b) t_expression +% | EApp: (('a -> 'b) t_node) * 'a t_expression -> 'b t_expression +% +%and _ t_varlist = +% | NVar: 'a t_varlist +% | CVar: 'a t_var * 'b t_varlist -> ('a * 'b) t_varlist +% +%and 'a t_equation = 'a t_varlist * 'a t_expression +% +%and _ t_eqlist = +% | NEql: unit t_eqlist +% | CEql: 'a t_equation * 'b t_eqlist -> ('a * 'b) t_eqlist +% +%and _ t_node = +% | MakeNode: +% ident +% * 'i t_varlist * 'o t_varlist +% * 'l t_varlist * 'e t_eqlist +% -> ('i -> 'o) t_node +% +%type _ t_nodelist = +% | NNode: unit t_nodelist +% | CNode: ('a -> 'b) t_node * 'c t_nodelist -> (('a -> 'b) * 'c) t_nodelist +% \end{minted} +\end{frame} +\begin{frame} + \begin{block}{Pros of using GADTs} + \begin{itemize} + \item Any term of the GADT represents a well-typed program + \item Extending the language to support more types consists of adding + constructors to variables and constants + \item The types are easy to read and understand + \end{itemize} + \end {block} + + \begin{block}{Cons of using GADTs} + \begin{itemize} + \item + They cannot be dynamically generated (hence it is impossible to + implement a parser that gives back a GADT) + \item + One should think about the isomorphism between + \texttt{a $\ast$ (b $\ast$ c)} and \texttt{(a $\ast$ b) $\ast$ c}. + \end{itemize} + \end{block} +\end{frame} + +\subsection{Second attempt: using explicit types in the variables, expressions, +\dots{} constructors} +\begin{frame} + \begin{block}{Idea} + Explicitly collect typing information while parsing. + \end{block} + \begin{figure} + \centering + \includegraphics[width=.6\textwidth]{imgs/explicit_types.png} + \end{figure} +\end{frame} + +\begin{frame} + \begin{block}{Pros of using explicit types} + \begin{itemize} + \item Programs can be built dynamically, hence a parser can be + written + \item While parsing, the parser has all the required information on + the sub-variables/nodes/expressions to check the well-typedness + \end{itemize} + \end{block} + \begin{block}{Cons of these definitions} + \begin{itemize} + \item The typing information on terms is very redundant. + \item The rejection of ill-typed programs depends on the correctness + of the parser + \end{itemize} + \end{block} +\end{frame} + +\section{Passes} +\begin{frame}{Passes} + \begin{block} + The passes of our compiler are functions of taking a program and either: + \begin{itemize} + \item returning a program if the pass succeeded + \item returns nothing otherwise + \end{itemize} + + We only have one language in our compiler: no intermediary language. + \end{block} +\end{frame} + +\subsection{Check} +\begin{frame} + \begin{block}{Passes} + The passes can be split into: + \begin{itemize} + \item those checking the program validity + \item those modifying the AST of the program + \end{itemize} + \end{block} +\end{frame} + +\begin{frame}{Implemented passes} + \begin{block}{\texttt{pre}-propagation to leaves} + \end{block} + \begin{block}{Check: unique initialization for variables} + \end{block} + \begin{block}{Linearization of the equations} + \end{block} +\end{frame} + +\end{document} + diff --git a/beamer/imgs/explicit_types.png b/beamer/imgs/explicit_types.png new file mode 100644 index 0000000000000000000000000000000000000000..b5c797386fd733bba3ec665576fdfdf2662d21ff GIT binary patch literal 158971 zcmce-1yEewnl`#|f_CEsvR}uhV*`~E9@PPgStuHMu0=&Gwvf2w{K`kf- zdUDR7rxO7HBnRkkc+i^}qACjXHNJqPh~OvJrNb2yEp%~Q;MByq(jE^FUqm2GLR>@; z45L*IO?pP;t%ptVbsJSd2;FtcLS!|0^=H*X5)yC{O2s_MN*Jw`l^ckaB*=+(4C61m zFwM)$sp-kf9?r*$*x&8&hyqcBV2MG!_We#R0J=aCDuV7G_;Ud}`~CLaYYS|)20cEZ z!%##izjwRsuf|SZy_7cOzI0RziV55s9pe<$qetcBTA#y83s#y>Piwzv%Aob9)-Me> 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