author | Christian Urban <christian.urban@kcl.ac.uk> |
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% !TEX program = xelatex |
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\documentclass{article} |
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\usepackage{../style} |
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\usepackage{../graphicss} |
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\usepackage{../langs} |
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\definecolor{navyblue}{rgb}{0.0, 0.0, 0.5} |
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\begin{document} |
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\color{pansypurple} |
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\section*{RESIT / REPLACEMENT} |
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{\bf |
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The resit / replacement task is essentially CW5 (listed below) with |
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the exception that the lexer and parser is already provided. The |
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parser will generate an AST (see file \texttt{fun\_llvm.sc}). Your task |
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is to generate an AST for the K-intermediate language and supply |
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sufficient type annotations such that you can generate valid code for |
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the LLVM-IR. The submission deadline is 4th August at 16:00. At the |
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deadline, please send me an email containing a zip-file with your |
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files. |
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Feel free to reuse the files I have uploaded on KEATS (especially |
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the files generating simple LLVM-IR code). Of help might also be the |
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videos of Week~10.\bigskip |
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\noindent |
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Good Luck!}\smallskip\\ |
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\noindent |
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Christian |
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\color{black} |
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\section*{Coursework 5} |
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\noindent This coursework is worth 25\% and is due on \cwFIVE{} at |
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16:00. You are asked to implement a compiler targeting the LLVM-IR. |
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Be careful that this CW needs some material about the LLVM-IR |
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that has not been shown in the lectures and your own experiments |
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might be required. You can find information about the LLVM-IR at |
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\begin{itemize} |
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\item \url{https://bit.ly/3rheZYr} |
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\item \url{https://llvm.org/docs/LangRef.html} |
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\end{itemize} |
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\noindent |
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You can do the implementation of your compiler in any programming |
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language you like, but you need to submit the source code with which |
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you generated the LLVM-IR files, otherwise a mark of 0\% will be |
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awarded. You are asked to submit the code of your compiler, but also |
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the generated \texttt{.ll} files. No PDF is needed for this |
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coursework. You should use the lexer and parser from the previous |
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courseworks, but you need to make some modifications to them for the |
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`typed' version of the Fun-language. I will award up to 5\% if a lexer |
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and a parser are correctly implemented. At the end, please package |
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everything(!) in a zip-file that creates a directory with the name |
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\begin{center} |
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\texttt{YournameYourFamilyname} |
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\end{center} |
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\noindent |
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on my end. You will be marked according to the input files |
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\begin{itemize} |
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\item\href{https://nms.kcl.ac.uk/christian.urban/cfl/progs/sqr.fun}{sqr.fun} |
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\item\href{https://nms.kcl.ac.uk/christian.urban/cfl/progs/fact.fun}{fact.fun} |
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\item\href{https://nms.kcl.ac.uk/christian.urban/cfl/progs/mand.fun}{mand.fun} |
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\item\href{https://nms.kcl.ac.uk/christian.urban/cfl/progs/mand2.fun}{mand2.fun} |
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\item\href{https://nms.kcl.ac.uk/christian.urban/cfl/progs/hanoi.fun}{hanoi.fun} |
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\end{itemize} |
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\noindent |
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which are uploaded to KEATS. |
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\subsection*{Disclaimer\alert} |
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It should be understood that the work you submit represents your own |
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effort. You have not copied from anyone else. An exception is the |
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Scala code I showed during the lectures or uploaded to KEATS, which |
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you can both use. You can also use your own code from the CW~1 -- |
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CW~4. But do not |
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be tempted to ask Github Copilot for help or do any other |
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shenanigans like this! |
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\subsection*{Task} |
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The goal is to lex and parse 5 Fun-programs, including the |
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Mandelbrot program shown in Figure~\ref{mand}, and generate |
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corresponding code for the LLVM-IR. Unfortunately the calculations for |
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the Mandelbrot Set require floating point arithmetic and therefore we |
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cannot be as simple-minded about types as we have been so far |
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(remember the LLVM-IR is a fully-typed language and needs to know the |
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exact types of each expression). The idea is to deal appropriately |
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with three types, namely \texttt{Int}, \texttt{Double} and |
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\texttt{Void} (they are represented in the LLVM-IR as \texttt{i32}, |
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\texttt{double} and \texttt{void}). You need to extend the lexer and |
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parser accordingly in order to deal with type annotations. The |
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Fun-language includes global constants, such as |
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\begin{lstlisting}[numbers=none] |
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val Ymin: Double = -1.3; |
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val Maxiters: Int = 1000; |
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\end{lstlisting} |
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\noindent |
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where you can assume that they are `normal' identifiers, just |
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starting with a capital letter---all other identifiers should have |
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lower-case letters. Function definitions can take arguments of |
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type \texttt{Int} or \texttt{Double}, and need to specify a return |
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type, which can be \texttt{Void}, for example |
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\begin{lstlisting}[numbers=none] |
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def foo(n: Int, x: Double) : Double = ... |
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def id(n: Int) : Int = ... |
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def bar() : Void = ... |
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\end{lstlisting} |
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\noindent |
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The idea is to record all typing information that is given |
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in the Fun-program, but then delay any further typing inference to |
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after the CPS-translation. That means the parser should |
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generate ASTs given by the Scala dataypes: |
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\begin{lstlisting}[numbers=none,language=Scala] |
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abstract class Exp |
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abstract class BExp |
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abstract class Decl |
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case class Def(name: String, args: List[(String, String)], |
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ty: String, body: Exp) extends Decl |
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case class Main(e: Exp) extends Decl |
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case class Const(name: String, v: Int) extends Decl |
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case class FConst(name: String, x: Double) extends Decl |
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case class Call(name: String, args: List[Exp]) extends Exp |
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case class If(a: BExp, e1: Exp, e2: Exp) extends Exp |
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case class Var(s: String) extends Exp |
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case class Num(i: Int) extends Exp // integer numbers |
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case class FNum(i: Double) extends Exp // floating numbers |
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case class ChConst(c: Int) extends Exp // char constants |
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case class Aop(o: String, a1: Exp, a2: Exp) extends Exp |
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case class Sequence(e1: Exp, e2: Exp) extends Exp |
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case class Bop(o: String, a1: Exp, a2: Exp) extends BExp |
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\end{lstlisting} |
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\noindent |
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This datatype distinguishes whether the global constant is an integer |
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constant or floating constant. Also a function definition needs to |
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record the return type of the function, namely the argument |
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\texttt{ty} in \texttt{Def}, and the arguments consist of an pairs of |
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identifier names and types (\texttt{Int} or \texttt{Double}). The hard |
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part of the CW is to design the K-intermediate language and infer all |
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necessary types in order to generate LLVM-IR code. You can check |
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your LLVM-IR code by running it with the interpreter \texttt{lli}. |
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\begin{figure}[t] |
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\lstinputlisting[language=Scala]{../cwtests/cw05/mand.fun} |
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\caption{The Mandelbrot program in the `typed' Fun-language.\label{mand}} |
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\end{figure} |
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\begin{figure}[t] |
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\includegraphics[scale=0.35]{../solutions/cw5/out.png} |
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\caption{Ascii output of the Mandelbrot program.\label{mand2}} |
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\end{figure} |
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Also note that the second version of the Mandelbrot program and also |
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the Tower of Hanoi program use character constants, like \texttt{'a'}, |
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\texttt{'1'}, \texttt{'$\backslash$n'} and so on. When they are tokenised, |
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such characters should be interpreted as the corresponding ASCII code (an |
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integer), such that we can use them in calculations like \texttt{'a' + 10} |
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where the result should be 107. As usual, the character \texttt{'$\backslash$n'} is the |
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ASCII code 10. |
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\subsection*{LLVM-IR} |
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There are some subtleties in the LLVM-IR you need to be aware of: |
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\begin{itemize} |
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\item \textbf{Global constants}: While global constants such as |
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\begin{lstlisting}[numbers=none] |
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val Max : Int = 10; |
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\end{lstlisting} |
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\noindent |
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can be easily defined in the LLVM-IR as follows |
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\begin{lstlisting}[numbers=none] |
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@Max = global i32 10 |
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\end{lstlisting} |
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\noindent |
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they cannot easily be referenced. If you want to use |
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this constant then you need to generate code such as |
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\begin{lstlisting}[numbers=none] |
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%tmp_22 = load i32, i32* @Max |
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\end{lstlisting} |
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\noindent |
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first, which treats \texttt{@Max} as an Integer-pointer (type |
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\texttt{i32*}) that needs to be loaded into a local variable, |
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here \texttt{\%tmp\_22}. |
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\item \textbf{Void-Functions}: While integer and double functions |
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can easily be called and their results can be allocated to a |
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temporary variable: |
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\begin{lstlisting}[numbers=none] |
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%tmp_23 = call i32 @sqr (i32 %n) |
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\end{lstlisting} |
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void-functions cannot be allocated to a variable. They need to be |
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called just as |
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\begin{lstlisting}[numbers=none] |
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call void @print_int (i32 %tmp_23) |
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\end{lstlisting} |
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\item \textbf{Floating-Point Operations}: While integer operations |
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are specified in the LLVM-IR as |
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\begin{lstlisting}[numbers=none,language=Scala] |
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def compile_op(op: String) = op match { |
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case "+" => "add i32 " |
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case "*" => "mul i32 " |
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case "-" => "sub i32 " |
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case "==" => "icmp eq i32 " |
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case "!=" => "icmp ne i32 " |
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case "<=" => "icmp sle i32 " // signed less or equal |
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case "<" => "icmp slt i32 " // signed less than |
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}\end{lstlisting} |
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the corresponding operations on doubles are |
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\begin{lstlisting}[numbers=none,language=Scala] |
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def compile_dop(op: String) = op match { |
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case "+" => "fadd double " |
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case "*" => "fmul double " |
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case "-" => "fsub double " |
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case "==" => "fcmp oeq double " |
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case "!=" => "fcmp one double " |
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case "<=" => "fcmp ole double " |
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case "<" => "fcmp olt double " |
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}\end{lstlisting} |
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\item \textbf{Typing}: In order to leave the CPS-translations |
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as is, it makes sense to defer the full type-inference to the |
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K-intermediate-language. For this it is good to define |
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the \texttt{KVar} constructor as |
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\begin{lstlisting}[numbers=none,language=Scala] |
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case class KVar(s: String, ty: Ty = "UNDEF") extends KVal\end{lstlisting} |
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where first a default type, for example \texttt{UNDEF}, is |
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given. Then you need to define two typing functions |
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\begin{lstlisting}[numbers=none,language=Scala] |
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def typ_val(v: KVal, ts: TyEnv) = ??? |
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def typ_exp(a: KExp, ts: TyEnv) = ??? |
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\end{lstlisting} |
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Both functions require a typing-environment that updates |
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the information about what type each variable, operation |
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and so on receives. Once the types are inferred, the |
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LLVM-IR code can be generated. Since we are dealing only |
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with simple first-order functions, nothing on the scale |
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as the `Hindley-Milner' typing-algorithm is needed. I suggest |
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to just look at what data is avaliable and generate all |
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missing information by ``simple means''\ldots rather than |
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looking at the literature which solves the problem |
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with much heavier machinery. |
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\item \textbf{Build-In Functions}: The `prelude' comes |
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with several build-in functions: \texttt{new\_line()}, |
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\texttt{skip}, \texttt{print\_int(n)}, \texttt{print\_space()}, |
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\texttt{print\_star()} and \texttt{print\_char(n)}. You can find the `prelude' for |
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example in the file \texttt{sqr.ll}. |
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\end{itemize} |
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\end{document} |
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%%% Local Variables: |
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%%% mode: latex |
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%%% TeX-master: t |
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%%% End: |