From: pimjager Date: Thu, 14 Apr 2016 10:51:46 +0000 (+0200) Subject: Presentation X-Git-Url: https://git.martlubbers.net/?a=commitdiff_plain;h=7b1d68ab317aaf431d123078daf9bd04f8829de0;p=cc1516.git Presentation --- diff --git a/deliverables/p2/p2.tex b/deliverables/p2/p2.tex index a3fca20..9f5fc65 100644 --- a/deliverables/p2/p2.tex +++ b/deliverables/p2/p2.tex @@ -69,8 +69,11 @@ sem :: AST -> SemOutput Does matter for variables, not for functions. \pause \begin{itemize} - \item Note that this means that \texttt{ones=1:ones} is + \item Note that this means that \CI{ones=1:ones} is not allowed. + \pause + \item Functions which have not been encountered yet are temporarily + typed $\alpha$. \end{itemize} \end{block} \pause% @@ -120,8 +123,8 @@ flop(n, l) :: Int -> [Int] -> Bool { } \end{CleanCode} \pause - \item It is also correctly determined that \texttt{Bool} and the return - type of \texttt{flop(n,l)} don't match. + \item It is also correctly determined that \CI{Bool} and the return + type of \CI{flop(n,l)} don't match. \end{itemize} \end{frame} @@ -175,7 +178,7 @@ id(x) :: a -> a { } \end{CleanCode} \pause - \item Is typed fun, but when we introduce: + \item Is typed fine, but when we introduce: \begin{CleanCode} var x = id(5); var y = id(True); @@ -190,8 +193,71 @@ var y = id(True); \begin{frame}[fragile] \frametitle{But wait, there is more!} \framesubtitle{Trouble that is} - - \begin + \begin{block}{Our type inference algorithm is too greedy} + It globally types a function once it is applied to a value, even + if this types it more specified then needed. + \end{block} + \pause + \begin{block}{Basically type inference for \CI{VarDecl} works great} + All instances of VarDecl work well. Including those where a var is + assigned by function application. + \end{block} + \pause + \begin{block}{Inference for functions is a completely different story} + \begin{itemize} + \item Type checking for functions works very well + \item Type inference for functions works spotty at best + \end{itemize} + \end{block} +\end{frame} + +\begin{frame}[fragile] + \frametitle{We changed to much from the presented algorithms} + \begin{itemize} + \item Our type checker is written with the origin algorithm + \emph{in mind} + \pause + \item We were confident that that would be sufficient and we would be + able to implement type inference this way. + \pause + \item As it turns out, \emph{we couldn't}! + \end{itemize} +\end{frame} + +\begin{frame}[fragile] + \frametitle{This not a problem for code generation} + \begin{block}{Sufficiently typed programs can be generated} + When all functions in the SPL program are completely typed then the + type inference algorithm yields a fully typed AST.\\ + \CI{VarDecls} \emph{types are correctly infered!} + \end{block} + \begin{block}{We can fix the type inference after code generation} + And this time do it right. + \end{block} +\end{frame} + +\begin{frame}[fragile] + \frametitle{Doing it right} + \framesubtitle{How we will redo the type inference} + \begin{block}{Properly implement the \emph{exact} algorithm} + We will implement the Hindley-Miller algorithm exactly instead of + \emph{``kinda''} + \end{block} + \begin{block}{Split constraint generation and solving} + Hide all the nasty details of constraint generation using a + Reader-Writer-State-Transformer-Monad + \begin{description} + \item[Reader] Reader environment to read fresh type variable + \item[Writer] Write constraints to \CI{Constraint} environment + \item[State] Gamma + \item[Transformer] (Either SemError) + \end{description} + \emph{Sadly these monads are not in the Clean library.}\\ + Then solve with a Relatively simple Solver-Monad + \begin{CleanCode} +:: Solve a = StateT Unifier (Either TypeError) a + \end{CleanCode} + \end{block} \end{frame} % - Can functions that are defined later in a file call earlier defined functions?