1% SPDX-FileCopyrightText: 2015-2024 Quentin Carbonneaux <quentin@c9x.me>2% SPDX-FileCopyrightText: 2025-2026 Sören Tempel <soeren+git@soeren-tempel.net>3%4% SPDX-License-Identifier: MIT AND GPL-3.0-only56\documentclass{article}7%include polycode.fmt89%subst blankline = "\\[5mm]"1011% See https://github.com/kosmikus/lhs2tex/issues/5812%format <$> = "\mathbin{\langle\$\rangle}"13%format <&> = "\mathbin{\langle\&\rangle}"14%format <|> = "\mathbin{\langle\:\vline\:\rangle}"15%format <?> = "\mathbin{\langle?\rangle}"16%format <*> = "\mathbin{\langle*\rangle}"17%format <* = "\mathbin{\langle*}"18%format *> = "\mathbin{*\rangle}"1920\long\def\ignore#1{}2122\usepackage{hyperref}23\hypersetup{24 colorlinks = true,25}2627\begin{document}2829\title{QBE Intermediate Language\vspace{-2em}}30\date{}31\maketitle32\frenchspacing3334\ignore{35\begin{code}36module Language.QBE.Parser37 ( skipInitComments,38 dataDef,39 typeDef,40 funcDef,41 fileDef42 )43where4445import Control.Monad (foldM)46import Data.Char (chr)47import Data.Word (Word64)48import Data.Functor ((<&>))49import Data.List (singleton)50import Data.Map (Map)51import Data.Map qualified as Map52import qualified Language.QBE.Types as Q53import Language.QBE.Util (bind, decNumber, octNumber, float)54import Text.ParserCombinators.Parsec55 ( Parser,56 alphaNum,57 anyChar,58 between,59 char,60 choice,61 letter,62 many,63 many1,64 manyTill,65 newline,66 noneOf,67 oneOf,68 optional,69 optionMaybe,70 sepBy,71 sepBy1,72 skipMany,73 skipMany1,74 string,75 try,76 (<?>),77 (<|>),78 )79\end{code}80}8182This an executable description of the83\href{https://c9x.me/compile/doc/il-v1.2.html}{QBE intermediate language},84specified through \href{https://hackage.haskell.org/package/parsec}{Parsec}85parser combinators and generated from a literate Haskell file. The description86is derived from the original QBE IL documentation, licensed under MIT.87Presently, this implementation targets version 1.2 of the QBE intermediate88language and aims to be equivalent with the original specification.8990\section{Basic Concepts}9192The intermediate language (IL) is a higher-level language than the93machine's assembly language. It smoothes most of the94irregularities of the underlying hardware and allows an infinite number95of temporaries to be used. This higher abstraction level lets frontend96programmers focus on language design issues.9798\subsection{Input Files}99100The intermediate language is provided to QBE as text. Usually, one file101is generated per each compilation unit from the frontend input language.102An IL file is a sequence of \nameref{sec:definitions} for103data, functions, and types. Once processed by QBE, the resulting file104can be assembled and linked using a standard toolchain (e.g., GNU105binutils).106107\begin{code}108comment :: Parser ()109comment = skipMany blankNL >> comment' >> skipMany blankNL110 where111 comment' = char '#' >> manyTill anyChar newline112\end{code}113114\ignore{115\begin{code}116skipNoCode :: Parser () -> Parser ()117skipNoCode blankP = try (skipMany1 comment <?> "comments") <|> blankP118\end{code}119}120121Here is a complete "Hello World" IL file which defines a function that122prints to the screen. Since the string is not a first class object (only123the pointer is) it is defined outside the function\textquotesingle s124body. Comments start with a \# character and finish with the end of the125line.126127\begin{verbatim}128data $str = { b "hello world", b 0 }129130export function w $main() {131@start132 # Call the puts function with $str as argument.133 %r =w call $puts(l $str)134 ret 0135}136\end{verbatim}137138If you have read the LLVM language reference, you might recognize the139example above. In comparison, QBE makes a much lighter use of types and140the syntax is terser.141142\subsection{Parser Combinators}143144\ignore{145\begin{code}146bracesNL :: Parser a -> Parser a147bracesNL = between (wsNL $ char '{') (wsNL $ char '}')148149quoted :: Parser a -> Parser a150quoted = let q = char '"' in between q q151152sepByTrail1 :: Parser a -> Parser sep -> Parser [a]153sepByTrail1 p sep = do154 x <- p155 xs <- many (try $ sep >> p)156 _ <- optional sep157 return (x:xs)158159sepByTrail :: Parser a -> Parser sep -> Parser [a]160sepByTrail p sep = sepByTrail1 p sep <|> return []161162parenLst :: Parser a -> Parser [a]163parenLst p = between (ws $ char '(') (char ')') inner164 where165 inner = sepBy (ws p) (ws $ char ',')166167unaryInstr :: (Q.Value -> Q.Instr) -> String -> Parser Q.Instr168unaryInstr conc keyword = do169 _ <- ws (string keyword)170 conc <$> ws val171172binaryInstr :: (Q.Value -> Q.Value -> Q.Instr) -> String -> Parser Q.Instr173binaryInstr conc keyword = do174 _ <- ws (string keyword)175 vfst <- ws val <* ws (char ',')176 conc vfst <$> ws val177178-- Can only appear in data and type definitions and hence allows newlines.179alignAny :: Parser Word64180alignAny = (ws1 (string "align")) >> wsNL decNumber181182-- Returns true if it is signed.183signageChar :: Parser Bool184signageChar = (char 's' <|> char 'u') <&> (== 's')185\end{code}186}187188The original QBE specification defines the syntax using a BNF grammar. In189contrast, this document defines it using Parsec parser combinators. As such,190this specification is less formal but more accurate as the parsing code is191actually executable. Consequently, this specification also captures constructs192omitted in the original specification (e.g., \nameref{sec:identifiers}, or193\nameref{sec:strlit}). Nonetheless, the formal language recognized by these194combinators aims to be equivalent to the one of the BNF grammar.195196\subsection{Identifiers}197\label{sec:identifiers}198199% Ident is not documented in the original QBE specification.200% See https://c9x.me/git/qbe.git/tree/parse.c?h=v1.2#n304201202\begin{code}203ident :: Parser String204ident = do205 start <- letter <|> oneOf "._"206 rest <- many (alphaNum <|> oneOf "$._")207 return $ start : rest208\end{code}209210Identifiers for data, types, and functions can start with any ASCII letter or211the special characters \texttt{.} and \texttt{\_}. This initial character can212be followed by a sequence of zero or more alphanumeric characters and the213special characters \texttt{\$}, \texttt{.}, and \texttt{\_}.214215\subsection{Sigils}216217\begin{code}218userDef :: Parser Q.UserIdent219userDef = Q.UserIdent <$> (char ':' >> ident)220221global :: Parser Q.GlobalIdent222global = Q.GlobalIdent <$> (char '$' >> ident)223224local :: Parser Q.LocalIdent225local = Q.LocalIdent <$> (char '%' >> ident)226227label :: Parser Q.BlockIdent228label = Q.BlockIdent <$> (char '@' >> ident)229\end{code}230231The intermediate language makes heavy use of sigils, all user-defined232names are prefixed with a sigil. This is to avoid keyword conflicts, and233also to quickly spot the scope and nature of identifiers.234235\begin{itemize}236 \item \texttt{:} is for user-defined \nameref{sec:aggregate-types}237 \item \texttt{\$} is for globals (represented by a pointer)238 \item \texttt{\%} is for function-scope temporaries239 \item \texttt{@@} is for block labels240\end{itemize}241242\subsection{Spacing}243244\begin{code}245blank :: Parser Char246blank = oneOf "\t " <?> "blank"247248blankNL :: Parser Char249blankNL = oneOf "\n\t " <?> "blank or newline"250\end{code}251252Individual tokens in IL files must be separated by one or more spacing253characters. Both spaces and tabs are recognized as spacing characters.254In data and type definitions, newlines may also be used as spaces to255prevent overly long lines. When exactly one of two consecutive tokens is256a symbol (for example \texttt{,} or \texttt{=} or \texttt{\{}), spacing may be omitted.257258\ignore{259\begin{code}260ws :: Parser a -> Parser a261ws p = p <* skipMany blank262263ws1 :: Parser a -> Parser a264ws1 p = p <* skipMany1 blank265266wsNL :: Parser a -> Parser a267wsNL p = p <* skipNoCode (skipMany blankNL)268269wsNL1 :: Parser a -> Parser a270wsNL1 p = p <* skipNoCode (skipMany1 blankNL)271272-- Only intended to be used to skip comments at the start of a file.273skipInitComments :: Parser ()274skipInitComments = skipNoCode (skipMany blankNL)275\end{code}276}277278\subsection{String Literals}279\label{sec:strlit}280281% The string literal is not documented in the original QBE specification.282% See https://c9x.me/git/qbe.git/tree/parse.c?h=v1.2#n287283284\begin{code}285strLit :: Parser String286strLit = concat <$> quoted (many strChr)287 where288 strChr :: Parser [Char]289 strChr = (singleton <$> noneOf "\"\\") <|> escSeq290291 -- TODO: not documnted in the QBE BNF.292 octEsc :: Parser Char293 octEsc = do294 n <- octNumber295 pure $ chr (fromIntegral n)296297 escSeq :: Parser [Char]298 escSeq = try $ do299 esc <- char '\\'300 (singleton <$> octEsc) <|> (anyChar <&> (\c -> [esc, c]))301\end{code}302303Strings are enclosed by double quotes and are, for example, used to specify a304section name as part of the \nameref{sec:linkage} information. Within a string,305a double quote can be escaped using a \texttt{\textbackslash} character. All306escape sequences, including double quote escaping, are passed through as-is to307the generated assembly file.308309\section{Types}310311\subsection{Simple Types}312313The IL makes minimal use of types. By design, the types used are314restricted to what is necessary for unambiguous compilation to machine315code and C interfacing. Unlike LLVM, QBE is not using types as a means316to safety; they are only here for semantic purposes.317318\begin{code}319baseType :: Parser Q.BaseType320baseType = choice321 [ bind "w" Q.Word322 , bind "l" Q.Long323 , bind "s" Q.Single324 , bind "d" Q.Double ]325\end{code}326327The four base types are \texttt{w} (word), \texttt{l} (long), \texttt{s} (single), and \texttt{d}328(double), they stand respectively for 32-bit and 64-bit integers, and32932-bit and 64-bit floating-point numbers. There are no pointer types330available; pointers are typed by an integer type sufficiently wide to331represent all memory addresses (e.g., \texttt{l} on 64-bit architectures).332Temporaries in the IL can only have a base type.333334\begin{code}335extType :: Parser Q.ExtType336extType = (Q.Base <$> baseType)337 <|> bind "b" Q.Byte338 <|> bind "h" Q.HalfWord339\end{code}340341Extended types contain base types plus \texttt{b} (byte) and \texttt{h} (half word),342respectively for 8-bit and 16-bit integers. They are used in \nameref{sec:aggregate-types}343and \nameref{sec:data} definitions.344345For C interfacing, the IL also provides user-defined aggregate types as346well as signed and unsigned variants of the sub-word extended types.347Read more about these types in the \nameref{sec:aggregate-types}348and \nameref{sec:functions} sections.349350\subsection{Subtyping}351\label{sec:subtyping}352353The IL has a minimal subtyping feature, for integer types only. Any354value of type \texttt{l} can be used in a \texttt{w} context. In that case, only the35532 least significant bits of the word value are used.356357Make note that it is the opposite of the usual subtyping on integers (in358C, we can safely use an \texttt{int} where a \texttt{long} is expected). A long value359cannot be used in word context. The rationale is that a word can be360signed or unsigned, so extending it to a long could be done in two ways,361either by zero-extension, or by sign-extension.362363\subsection{Constants and Vals}364\label{sec:constants-and-vals}365366\begin{code}367dynConst :: Parser Q.DynConst368dynConst =369 (Q.Const <$> constant)370 <|> (Q.Thread <$> (key "thread" >> global))371 <|> (Q.Extern <$> try (key "extern" >> global))372 <|> (Q.ExternThread <$> (key "extern" >> key "thread" >> global))373 <?> "dynconst"374 where375 key s = ws1 $ string s376\end{code}377378Constants come in two kinds: compile-time constants and dynamic379constants. Dynamic constants include compile-time constants and other380symbol variants that are only known at program-load time or execution381time. Consequently, dynamic constants can only occur in function bodies.382383When the \texttt{extern} keyword prefixes a symbol name, the symbol is384accessed indirectly through a table edited by the dynamic linker (e.g.,385GOT/PLT). This enables PIE/PIC code generation. When \texttt{extern} is386combined with \texttt{thread}, the symbol is accessed using the387initial-exec TLS model, suitable for thread-local variables defined in388shared objects available at startup time (i.e., not loaded through389dlopen).390391The representation of integers is two's complement.392Floating-point numbers are represented using the single-precision and393double-precision formats of the IEEE 754 standard.394395\begin{code}396constant :: Parser Q.Const397constant =398 (Q.Number <$> decNumber)399 <|> (Q.SFP <$> sfp)400 <|> (Q.DFP <$> dfp)401 <|> (Q.Global <$> global)402 <?> "const"403 where404 sfp = string "s_" >> float405 dfp = string "d_" >> float406\end{code}407408Constants specify a sequence of bits and are untyped. They are always409parsed as 64-bit blobs. Depending on the context surrounding a constant,410only some of its bits are used. For example, in the program below, the411two variables defined have the same value since the first operand of the412subtraction is a word (32-bit) context.413414\begin{verbatim}415%x =w sub -1, 0 %y =w sub 4294967295, 0416\end{verbatim}417418Because specifying floating-point constants by their bits makes the code419less readable, syntactic sugar is provided to express them. Standard420scientific notation is prefixed with \texttt{s\_} and \texttt{d\_} for single and421double precision numbers respectively. Once again, the following example422defines twice the same double-precision constant.423424\begin{verbatim}425%x =d add d_0, d_-1426%y =d add d_0, -4616189618054758400427\end{verbatim}428429Global symbols can also be used directly as constants; they will be430resolved and turned into actual numeric constants by the linker.431432When the \texttt{thread} keyword prefixes a symbol name, the433symbol\textquotesingle s numeric value is resolved at runtime in the434thread-local storage.435436\begin{code}437val :: Parser Q.Value438val =439 (Q.VConst <$> dynConst)440 <|> (Q.VLocal <$> local)441 <?> "val"442\end{code}443444Vals are used as arguments in regular, phi, and jump instructions within445function definitions. They are either constants or function-scope446temporaries.447448\subsection{Linkage}449\label{sec:linkage}450451\begin{code}452linkage :: Parser Q.Linkage453linkage =454 wsNL (bind "export" Q.LExport)455 <|> wsNL (bind "thread" Q.LThread)456 <|> do457 _ <- ws1 $ string "section"458 (try secWithFlags) <|> sec459 where460 sec :: Parser Q.Linkage461 sec = wsNL strLit <&> (`Q.LSection` Nothing)462463 secWithFlags :: Parser Q.Linkage464 secWithFlags = do465 n <- ws1 strLit466 wsNL strLit <&> Q.LSection n . Just467\end{code}468469Function and data definitions (see below) can specify linkage470information to be passed to the assembler and eventually to the linker.471472The \texttt{export} linkage flag marks the defined item as visible outside the473current file\textquotesingle s scope. If absent, the symbol can only be474referred to locally. Functions compiled by QBE and called from C need to475be exported.476477The \texttt{thread} linkage flag can only qualify data definitions. It mandates478that the object defined is stored in thread-local storage. Each time a479runtime thread starts, the supporting platform runtime is in charge of480making a new copy of the object for the fresh thread. Objects in481thread-local storage must be accessed using the \texttt{thread \$IDENT} syntax,482as specified in the \nameref{sec:constants-and-vals} section.483484A \texttt{section} flag can be specified to tell the linker to put the defined485item in a certain section. The use of the section flag is platform486dependent and we refer the user to the documentation of their assembler487and linker for relevant information.488489\begin{verbatim}490section ".init_array" data $.init.f = { l $f }491\end{verbatim}492493The section flag can be used to add function pointers to a global494initialization list, as depicted above. Note that some platforms provide495a BSS section that can be used to minimize the footprint of uniformly496zeroed data. When this section is available, QBE will automatically make497use of it and no section flag is required.498499The section and export linkage flags should each appear at most once in500a definition. If multiple occurrences are present, QBE is free to use501any.502503\subsection{Definitions}504\label{sec:definitions}505506Definitions are the essential components of an IL file. They can define507three types of objects: aggregate types, data, and functions. Aggregate508types are never exported and do not compile to any code. Data and509function definitions have file scope and are mutually recursive (even510across IL files). Their visibility can be controlled using linkage511flags.512513\subsubsection{Aggregate Types}514\label{sec:aggregate-types}515516\begin{code}517typeDef :: Parser Q.TypeDef518typeDef = do519 _ <- wsNL1 (string "type")520 i <- wsNL1 userDef521 _ <- wsNL1 (char '=')522 a <- optionMaybe alignAny523 bracesNL (opaqueType <|> unionType <|> regularType) <&> Q.TypeDef i a524\end{code}525526Aggregate type definitions start with the \texttt{type} keyword. They have file527scope, but types must be defined before being referenced. The inner528structure of a type is expressed by a comma-separated list of fields.529530\begin{code}531subType :: Parser Q.SubType532subType =533 (Q.SExtType <$> extType)534 <|> (Q.SUserDef <$> userDef)535536field :: Parser Q.Field537field = do538 -- TODO: newline is required if there is a number argument539 f <- wsNL subType540 s <- ws $ optionMaybe decNumber541 pure (f, s)542543fields :: Bool -> Parser [Q.Field]544fields allowEmpty =545 (if allowEmpty then sepByTrail else sepByTrail1) field (wsNL $ char ',')546\end{code}547548A field consists of a subtype, either an extended type or a user-defined type,549and an optional number expressing the value of this field. In case many items550of the same type are sequenced (like in a C array), the shorter array syntax551can be used.552553\begin{code}554regularType :: Parser Q.AggType555regularType = Q.ARegular <$> fields True556\end{code}557558Three different kinds of aggregate types are presentl ysupported: regular559types, union types and opaque types. The fields of regular types will be560packed. By default, the alignment of an aggregate type is the maximum alignment561of its members. The alignment can be explicitly specified by the programmer.562563\begin{code}564unionType :: Parser Q.AggType565unionType = Q.AUnion <$> many1 (wsNL unionType')566 where567 unionType' :: Parser [Q.Field]568 unionType' = bracesNL $ fields False569\end{code}570571Union types allow the same chunk of memory to be used with different layouts. They are defined by enclosing multiple regular aggregate type bodies in a pair of curly braces. Size and alignment of union types are set to the maximum size and alignment of each variation or, in the case of alignment, can be explicitly specified.572573\begin{code}574opaqueType :: Parser Q.AggType575opaqueType = Q.AOpaque <$> wsNL decNumber576\end{code}577578Opaque types are used when the inner structure of an aggregate cannot be specified; the alignment for opaque types is mandatory. They are defined simply by enclosing their size between curly braces.579580\subsubsection{Data}581\label{sec:data}582583\begin{code}584dataDef :: Parser Q.DataDef585dataDef = do586 link <- many linkage587 name <- wsNL1 (string "data") >> wsNL global588 _ <- wsNL (char '=')589 alignment <- optionMaybe alignAny590 bracesNL dataObjs <&> Q.DataDef link name alignment591 where592 -- TODO: sepByTrail is not documented in the QBE BNF.593 dataObjs = sepByTrail dataObj (wsNL $ char ',')594\end{code}595596Data definitions express objects that will be emitted in the compiled597file. Their visibility and location in the compiled artifact are598controlled with linkage flags described in the \nameref{sec:linkage}599section.600601They define a global identifier (starting with the sigil \texttt{\$}), that602will contain a pointer to the object specified by the definition.603604\begin{code}605dataObj :: Parser Q.DataObj606dataObj =607 (Q.OZeroFill <$> (wsNL1 (char 'z') >> wsNL decNumber))608 <|> do609 t <- wsNL1 extType610 i <- many1 (wsNL dataItem)611 return $ Q.OItem t i612\end{code}613614Objects are described by a sequence of fields that start with a type615letter. This letter can either be an extended type, or the \texttt{z} letter.616If the letter used is an extended type, the data item following617specifies the bits to be stored in the field.618619\begin{code}620dataItem :: Parser Q.DataItem621dataItem =622 (Q.DString <$> strLit)623 <|> try624 ( do625 i <- ws global626 off <- (ws $ char '+') >> ws decNumber627 return $ Q.DSymOff i off628 )629 <|> (Q.DConst <$> constant)630\end{code}631632Within each object, several items can be defined. When several data items633follow a letter, they initialize multiple fields of the same size.634635\begin{code}636allocSize :: Parser Q.AllocSize637allocSize =638 choice639 [ bind "4" Q.AllocWord,640 bind "8" Q.AllocLong,641 bind "16" Q.AllocLongLong642 ]643\end{code}644645The members of a struct will be packed. This means that padding has to646be emitted by the frontend when necessary. Alignment of the whole data647objects can be manually specified, and when no alignment is provided,648the maximum alignment from the platform is used.649650When the \texttt{z} letter is used the number following indicates the size of651the field; the contents of the field are zero initialized. It can be652used to add padding between fields or zero-initialize big arrays.653654\subsubsection{Functions}655\label{sec:functions}656657\begin{code}658funcDef :: Parser Q.FuncDef659funcDef = do660 link <- many linkage661 _ <- ws1 (string "function")662 retTy <- optionMaybe (ws1 abity)663 name <- ws global664 args <- wsNL params665 body <- between (wsNL1 $ char '{') (wsNL $ char '}') $ many1 block666667 case (insertJumps body) of668 Nothing -> fail $ "invalid fallthrough in " ++ show name669 Just [] -> error "unreachable" -- TODO: Use NonEmpty670 Just blocks@(startBlk:_) ->671 return $672 Q.FuncDef {673 Q.fLinkage = link,674 Q.fName = name,675 Q.fStart = Q.label startBlk,676 Q.fAbity = retTy,677 Q.fParams = args,678 Q.fBlock = blkMap blocks679 }680\end{code}681682Function definitions contain the actual code to emit in the compiled683file. They define a global symbol that contains a pointer to the684function code. This pointer can be used in \texttt{call} instructions or stored685in memory.686687\begin{code}688subWordType :: Parser Q.SubWordType689subWordType = choice690 [ try $ bind "sb" Q.SignedByte691 , try $ bind "ub" Q.UnsignedByte692 , bind "sh" Q.SignedHalf693 , bind "uh" Q.UnsignedHalf ]694695abity :: Parser Q.Abity696abity = try (Q.ASubWordType <$> subWordType)697 <|> (Q.ABase <$> baseType)698 <|> (Q.AUserDef <$> userDef)699\end{code}700701The type given right before the function name is the return type of the702function. All return values of this function must have this return type.703If the return type is missing, the function must not return any value.704705\begin{code}706param :: Parser Q.FuncParam707param = (Q.Env <$> (ws1 (string "env") >> local))708 <|> (string "..." >> pure Q.Variadic)709 <|> do710 ty <- ws1 abity711 Q.Regular ty <$> local712713params :: Parser [Q.FuncParam]714params = parenLst param715\end{code}716717The parameter list is a comma separated list of temporary names prefixed718by types. The types are used to correctly implement C compatibility.719When an argument has an aggregate type, a pointer to the aggregate is720passed by thea caller. In the example below, we have to use a load721instruction to get the value of the first (and only) member of the722struct.723724\begin{verbatim}725type :one = { w }726727function w $getone(:one %p) {728@start729 %val =w loadw %p730 ret %val731}732\end{verbatim}733734If a function accepts or returns values that are smaller than a word,735such as \texttt{signed char} or \texttt{unsigned short} in C, one of the sub-word type736must be used. The sub-word types \texttt{sb}, \texttt{ub}, \texttt{sh}, and \texttt{uh} stand,737respectively, for signed and unsigned 8-bit values, and signed and738unsigned 16-bit values. Parameters associated with a sub-word type of739bit width N only have their N least significant bits set and have base740type \texttt{w}. For example, the function741742\begin{verbatim}743function w $addbyte(w %a, sb %b) {744@start745 %bw =w extsb %b746 %val =w add %a, %bw747 ret %val748}749\end{verbatim}750751needs to sign-extend its second argument before the addition. Dually,752return values with sub-word types do not need to be sign or zero753extended.754755If the parameter list ends with \texttt{...}, the function is a variadic756function: it can accept a variable number of arguments. To access the757extra arguments provided by the caller, use the \texttt{vastart} and \texttt{vaarg}758instructions described in the \nameref{sec:variadic} section.759760Optionally, the parameter list can start with an environment parameter761\texttt{env \%e}. This special parameter is a 64-bit integer temporary (i.e.,762of type \texttt{l}). If the function does not use its environment parameter,763callers can safely omit it. This parameter is invisible to a C caller:764for example, the function765766\begin{verbatim}767export function w $add(env %e, w %a, w %b) {768@start769 %c =w add %a, %b770 ret %c771}772\end{verbatim}773774must be given the C prototype \texttt{int add(int, int)}. The intended use of775this feature is to pass the environment pointer of closures while776retaining a very good compatibility with C. The \nameref{sec:call}777section explains how to pass an environment parameter.778779Since global symbols are defined mutually recursive, there is no need780for function declarations: a function can be referenced before its781definition. Similarly, functions from other modules can be used without782previous declaration. All the type information necessary to compile a783call is in the instruction itself.784785The syntax and semantics for the body of functions are described in the786\nameref{sec:control} section.787788\section{Control}789\label{sec:control}790791The IL represents programs as textual transcriptions of control flow792graphs. The control flow is serialized as a sequence of blocks of793straight-line code which are connected using jump instructions.794795\subsection{Blocks}796\label{sec:blocks}797798\ignore{799\begin{code}800-- Basic block abstraction with optional exit points. The 'insertJumps'801-- function takes care of inserting fallthrough for omitted jumps.802data Block'803 = Block'804 { label' :: Q.BlockIdent,805 phi' :: [Q.Phi],806 stmt' :: [Q.Statement],807 term' :: Maybe Q.JumpInstr808 }809 deriving (Show, Eq)810811blkMap :: [Q.Block] -> Map Q.BlockIdent Q.Block812blkMap = Map.fromList . map (\b -> (Q.label b, b))813814insertJumps :: [Block'] -> Maybe [Q.Block]815insertJumps xs = foldM go [] $ zipWithNext xs816 where817 zipWithNext :: [a] -> [(a, Maybe a)]818 zipWithNext [] = []819 zipWithNext lst@(_ : t) = zip lst $ map Just t ++ [Nothing]820821 fromBlock' :: Block' -> Q.JumpInstr -> Q.Block822 fromBlock' (Block' l p s _) = Q.Block l p s823824 go :: [Q.Block] -> (Block', Maybe Block') -> Maybe [Q.Block]825 go acc (x@Block' {term' = Just ji}, _) =826 Just (acc ++ [fromBlock' x ji])827 go acc (x@Block' {term' = Nothing}, Just nxt) =828 Just (acc ++ [fromBlock' x (Q.Jump $ label' nxt)])829 go _ (Block' {term' = Nothing}, Nothing) =830 Nothing831\end{code}832}833834\begin{code}835block :: Parser Block'836block = do837 l <- wsNL1 label838 p <- many (wsNL1 $ try phiInstr)839 s <- many (wsNL1 statement)840 Block' l p s <$> (optionMaybe $ wsNL1 jumpInstr)841\end{code}842843All blocks have a name that is specified by a label at their beginning.844Then follows a sequence of instructions that have "fall-through" flow.845Finally one jump terminates the block. The jump can either transfer846control to another block of the same function or return; jumps are847described further below.848849The first block in a function must not be the target of any jump in the850program. If a jump to the function start is needed, the frontend must851insert an empty prelude block at the beginning of the function.852853When one block jumps to the next block in the IL file, it is not854necessary to write the jump instruction, it will be automatically added855by the parser. For example the start block in the example below jumps856directly to the loop block.857858\subsection{Jumps}859\label{sec:jumps}860861\begin{code}862jumpInstr :: Parser Q.JumpInstr863jumpInstr = (string "hlt" >> pure Q.Halt)864 -- TODO: Return requires a space if there is an optionMaybe865 <|> Q.Return <$> ((ws $ string "ret") >> optionMaybe val)866 <|> try (Q.Jump <$> ((ws1 $ string "jmp") >> label))867 <|> do868 _ <- ws1 $ string "jnz"869 v <- ws val <* ws (char ',')870 l1 <- ws label <* ws (char ',')871 l2 <- ws label872 return $ Q.Jnz v l1 l2873\end{code}874875A jump instruction ends every block and transfers the control to another876program location. The target of a jump must never be the first block in877a function. The three kinds of jumps available are described in the878following list.879880\begin{enumerate}881 \item \textbf{Unconditional jump.} Jumps to another block of the same function.882 \item \textbf{Conditional jump.} When its word argument is non-zero, it jumps to its first label argument; otherwise it jumps to the other label. The argument must be of word type; because of subtyping a long argument can be passed, but only its least significant 32 bits will be compared to 0.883 \item \textbf{Function return.} Terminates the execution of the current function, optionally returning a value to the caller. The value returned must be of the type given in the function prototype. If the function prototype does not specify a return type, no return value can be used.884 \item \textbf{Program termination.} Terminates the execution of the program with a target-dependent error. This instruction can be used when it is expected that the execution never reaches the end of the block it closes; for example, after having called a function such as \texttt{exit()}.885\end{enumerate}886887\section{Instructions}888\label{sec:instructions}889890\begin{code}891instr :: Parser Q.Instr892instr =893 choice894 [ try $ binaryInstr Q.Add "add",895 try $ binaryInstr Q.Sub "sub",896 try $ binaryInstr Q.Mul "mul",897 try $ binaryInstr Q.Div "div",898 try $ binaryInstr Q.URem "urem",899 try $ binaryInstr Q.Rem "rem",900 try $ binaryInstr Q.UDiv "udiv",901 try $ binaryInstr Q.Or "or",902 try $ binaryInstr Q.Xor "xor",903 try $ binaryInstr Q.And "and",904 try $ binaryInstr Q.Sar "sar",905 try $ binaryInstr Q.Shr "shr",906 try $ binaryInstr Q.Shl "shl",907 try $ unaryInstr Q.Neg "neg",908 try $ unaryInstr Q.Cast "cast",909 try $ unaryInstr Q.Copy "copy",910 try $ unaryInstr Q.VAArg "vaarg",911 try $ loadInstr,912 try $ allocInstr,913 try $ compareInstr,914 try $ extInstr,915 try $ truncInstr,916 try $ fromFloatInstr,917 try $ toFloatInstr918 ]919\end{code}920921Instructions are the smallest piece of code in the IL, they form the body of922\nameref{sec:blocks}. This specification distinguishes instructions and923volatile instructions, the latter do not return a value. For the former, the IL924uses a three-address code, which means that one instruction computes an925operation between two operands and assigns the result to a third one.926927\begin{code}928assign :: Parser Q.Statement929assign = do930 n <- ws local931 t <- ws (char '=') >> ws1 baseType932 Q.Assign n t <$> instr933934volatileInstr :: Parser Q.Statement935volatileInstr =936 Q.Volatile <$>937 (storeInstr <|> blitInstr <|> vastartInstr <|> dbglocInstr)938939-- TODO: Not documented in the QBE BNF.940statement :: Parser Q.Statement941statement = (try callInstr) <|> assign <|> volatileInstr942\end{code}943944An instruction has both a name and a return type, this return type is a base945type that defines the size of the instruction's result. The type of the946arguments can be unambiguously inferred using the instruction name and the947return type. For example, for all arithmetic instructions, the type of the948arguments is the same as the return type. The two additions below are valid if949\texttt{\%y} is a word or a long (because of \nameref{sec:subtyping}).950951\begin{verbatim}952%x =w add 0, %y953%z =w add %x, %x954\end{verbatim}955956Some instructions, like comparisons and memory loads have operand types957that differ from their return types. For instance, two floating points958can be compared to give a word result (0 if the comparison succeeds, 1959if it fails).960961\begin{verbatim}962%c =w cgts %a, %b963\end{verbatim}964965In the example above, both operands have to have single type. This is966made explicit by the instruction suffix.967968\subsection{Arithmetic and Bits}969970\begin{quote}971\begin{itemize}972\item \texttt{add}, \texttt{sub}, \texttt{div}, \texttt{mul}973\item \texttt{neg}974\item \texttt{udiv}, \texttt{rem}, \texttt{urem}975\item \texttt{or}, \texttt{xor}, \texttt{and}976\item \texttt{sar}, \texttt{shr}, \texttt{shl}977\end{itemize}978\end{quote}979980The base arithmetic instructions in the first bullet are available for981all types, integers and floating points.982983When \texttt{div} is used with word or long return type, the arguments are984treated as signed. The unsigned integral division is available as \texttt{udiv}985instruction. When the result of a division is not an integer, it is truncated986towards zero.987988The signed and unsigned remainder operations are available as \texttt{rem} and989\texttt{urem}. The sign of the remainder is the same as the one of the990dividend. Its magnitude is smaller than the divisor one. These two instructions991and \texttt{udiv} are only available with integer arguments and result.992993Bitwise OR, AND, and XOR operations are available for both integer994types. Logical operations of typical programming languages can be995implemented using \nameref{sec:comparisions} and \nameref{sec:jumps}.996997Shift instructions \texttt{sar}, \texttt{shr}, and \texttt{shl}, shift right or998left their first operand by the amount from the second operand. The shifting999amount is taken modulo the size of the result type. Shifting right can either1000preserve the sign of the value (using \texttt{sar}), or fill the newly freed1001bits with zeroes (using \texttt{shr}). Shifting left always fills the freed1002bits with zeroes.10031004Remark that an arithmetic shift right (\texttt{sar}) is only equivalent to a1005division by a power of two for non-negative numbers. This is because the shift1006right "truncates" towards minus infinity, while the division truncates towards1007zero.10081009\subsection{Memory}1010\label{sec:memory}10111012The following sections discuss instructions for interacting with values stored in memory.10131014\subsubsection{Store instructions}10151016\begin{code}1017storeInstr :: Parser Q.VolatileInstr1018storeInstr = do1019 t <- string "store" >> ws1 extType1020 v <- ws val1021 _ <- ws $ char ','1022 ws val <&> Q.Store t v1023\end{code}10241025Store instructions exist to store a value of any base type and any extended1026type. Since halfwords and bytes are not first class in the IL, \texttt{storeh}1027and \texttt{storeb} take a word as argument. Only the first 16 or 8 bits of1028this word will be stored in memory at the address specified in the second1029argument.10301031\subsubsection{Load instructions}10321033\begin{code}1034loadInstr :: Parser Q.Instr1035loadInstr = do1036 _ <- string "load"1037 t <- ws1 $ choice1038 [ try $ bind "sw" (Q.LBase Q.Word),1039 try $ bind "uw" (Q.LBase Q.Word),1040 try $ Q.LSubWord <$> subWordType,1041 Q.LBase <$> baseType1042 ]1043 ws val <&> Q.Load t1044\end{code}10451046For types smaller than long, two variants of the load instruction are1047available: one will sign extend the loaded value, while the other will zero1048extend it. Note that all loads smaller than long can load to either a long or a1049word.10501051The two instructions \texttt{loadsw} and \texttt{loaduw} have the same effect1052when they are used to define a word temporary. A \texttt{loadw} instruction is1053provided as syntactic sugar for \texttt{loadsw} to make explicit that the1054extension mechanism used is irrelevant.10551056\subsubsection{Blits}10571058\begin{code}1059blitInstr :: Parser Q.VolatileInstr1060blitInstr = do1061 v1 <- (ws1 $ string "blit") >> ws val <* (ws $ char ',')1062 v2 <- ws val <* (ws $ char ',')1063 nb <- decNumber1064 return $ Q.Blit v1 v2 nb1065\end{code}10661067The blit instruction copies in-memory data from its first address argument to1068its second address argument. The third argument is the number of bytes to copy.1069The source and destination spans are required to be either non-overlapping, or1070fully overlapping (source address identical to the destination address). The1071byte count argument must be a nonnegative numeric constant; it cannot be a1072temporary.10731074One blit instruction may generate a number of instructions proportional to its1075byte count argument, consequently, it is recommended to keep this argument1076relatively small. If large copies are necessary, it is preferable that1077frontends generate calls to a supporting \texttt{memcpy} function.10781079\subsubsection{Stack Allocation}10801081\begin{code}1082allocInstr :: Parser Q.Instr1083allocInstr = do1084 siz <- (ws $ string "alloc") >> (ws1 allocSize)1085 val <&> Q.Alloc siz1086\end{code}10871088These instructions allocate a chunk of memory on the stack. The number ending1089the instruction name is the alignment required for the allocated slot. QBE will1090make sure that the returned address is a multiple of that alignment value.10911092Stack allocation instructions are used, for example, when compiling the C local1093variables, because their address can be taken. When compiling Fortran,1094temporaries can be used directly instead, because it is illegal to take the1095address of a variable.10961097\subsection{Comparisons}1098\label{sec:comparisions}10991100\begin{code}1101compareInstr :: Parser Q.Instr1102compareInstr = do1103 _ <- char 'c'1104 (try intCompare) <|> floatCompare11051106compareArgs :: Parser (Q.Value, Q.Value)1107compareArgs = do1108 lhs <- ws val <* ws (char ',')1109 rhs <- ws val1110 pure (lhs, rhs)11111112intCompare :: Parser Q.Instr1113intCompare = do1114 op <- compareIntOp1115 ty <- ws1 intArg11161117 (lhs, rhs) <- compareArgs1118 pure $ Q.CompareInt ty op lhs rhs11191120floatCompare :: Parser Q.Instr1121floatCompare = do1122 op <- compareFloatOp1123 ty <- ws1 floatArg11241125 (lhs, rhs) <- compareArgs1126 pure $ Q.CompareFloat ty op lhs rhs1127\end{code}11281129Comparison instructions return an integer value (either a word or a long), and1130compare values of arbitrary types. The returned value is 1 if the two operands1131satisfy the comparison relation, or 0 otherwise. The names of comparisons1132respect a standard naming scheme in three parts:11331134\begin{enumerate}1135 \item All comparisons start with the letter \texttt{c}.1136 \item Then comes a comparison type.1137 \item Finally, the instruction name is terminated with a basic type suffix precising the type of the operands to be compared.1138\end{enumerate}11391140The following instruction are available for integer comparisons:11411142\begin{code}1143compareIntOp :: Parser Q.IntCmpOp1144compareIntOp = choice1145 [ bind "eq" Q.IEq1146 , bind "ne" Q.INe1147 , try $ bind "sle" Q.ISle1148 , try $ bind "slt" Q.ISlt1149 , try $ bind "sge" Q.ISge1150 , try $ bind "sgt" Q.ISgt1151 , try $ bind "ule" Q.IUle1152 , try $ bind "ult" Q.IUlt1153 , try $ bind "uge" Q.IUge1154 , try $ bind "ugt" Q.IUgt ]1155\end{code}11561157For floating point comparisons use one of these instructions:11581159\begin{code}1160compareFloatOp :: Parser Q.FloatCmpOp1161compareFloatOp = choice1162 [ bind "eq" Q.FEq1163 , bind "ne" Q.FNe1164 , try $ bind "le" Q.FLe1165 , bind "lt" Q.FLt1166 , try $ bind "ge" Q.FGe1167 , bind "gt" Q.FGt1168 , bind "o" Q.FOrd1169 , bind "uo" Q.FUnord ]1170\end{code}11711172For example, \texttt{cod} compares two double-precision floating point numbers1173and returns 1 if the two floating points are not NaNs, or 0 otherwise. The1174\texttt{csltw} instruction compares two words representing signed numbers and1175returns 1 when the first argument is smaller than the second one.11761177\subsection{Conversions}11781179Conversion operations change the representation of a value, possibly modifying1180it if the target type cannot hold the value of the source type. Conversions can1181extend the precision of a temporary (e.g., from signed 8-bit to 32-bit), or1182convert a floating point into an integer and vice versa.11831184\begin{code}1185extInstr :: Parser Q.Instr1186extInstr = do1187 _ <- string "ext"1188 ty <- ws1 extArg1189 ws val <&> Q.Ext ty1190 where1191 extArg :: Parser Q.ExtArg1192 extArg = try (Q.ExtSubWord <$> subWordType)1193 <|> try (bind "sw" Q.ExtSignedWord)1194 <|> bind "s" Q.ExtSingle1195 <|> bind "uw" Q.ExtUnsignedWord1196\end{code}11971198Extending the precision of a temporary is done using the \texttt{ext} family of1199instructions. Because QBE types do not specify the signedness (like in LLVM),1200extension instructions exist to sign-extend and zero-extend a value. For1201example, \texttt{extsb} takes a word argument and sign-extends the 81202least-significant bits to a full word or long, depending on the return type.12031204\begin{code}1205truncInstr :: Parser Q.Instr1206truncInstr = do1207 _ <- ws1 $ string "truncd"1208 ws val <&> Q.TruncDouble1209\end{code}12101211The instructions \texttt{exts} (extend single) and \texttt{truncd} (truncate1212double) are provided to change the precision of a floating point value. When1213the double argument of truncd cannot be represented as a single-precision1214floating point, it is truncated towards zero.12151216\begin{code}1217floatArg :: Parser Q.FloatArg1218floatArg = bind "d" Q.FDouble <|> bind "s" Q.FSingle12191220fromFloatInstr :: Parser Q.Instr1221fromFloatInstr = do1222 arg <- floatArg <* string "to"1223 isSigned <- signageChar1224 _ <- ws1 $ char 'i'1225 ws val <&> Q.FloatToInt arg isSigned12261227intArg :: Parser Q.IntArg1228intArg = bind "w" Q.IWord <|> bind "l" Q.ILong12291230toFloatInstr :: Parser Q.Instr1231toFloatInstr = do1232 isSigned <- signageChar1233 arg <- intArg1234 _ <- ws1 $ string "tof"1235 ws val <&> Q.IntToFloat arg isSigned1236\end{code}12371238Converting between signed integers and floating points is done using1239\texttt{stosi} (single to signed integer), \texttt{stoui} (single to unsigned1240integer), \texttt{dtosi} (double to signed integer), \texttt{dtoui} (double to1241unsigned integer), \texttt{swtof} (signed word to float), \texttt{uwtof}1242(unsigned word to float), \texttt{sltof} (signed long to float) and1243\texttt{ultof} (unsigned long to float).12441245\subsection{Cast and Copy}12461247The \texttt{cast} and \texttt{copy} instructions return the bits of their1248argument verbatim. However a cast will change an integer into a floating point1249of the same width and vice versa.12501251Casts can be used to make bitwise operations on the representation of floating1252point numbers. For example the following program will compute the opposite of1253the single-precision floating point number \texttt{\%f} into \texttt{\%rs}.12541255\begin{verbatim}1256%b0 =w cast %f1257%b1 =w xor 2147483648, %b0 # flip the msb1258%rs =s cast %b11259\end{verbatim}12601261\subsection{Call}1262\label{sec:call}12631264\begin{code}1265-- TODO: Code duplication with 'param'.1266callArg :: Parser Q.FuncArg1267callArg = (Q.ArgEnv <$> (ws1 (string "env") >> val))1268 <|> (string "..." >> pure Q.ArgVar)1269 <|> do1270 ty <- ws1 abity1271 Q.ArgReg ty <$> val12721273callArgs :: Parser [Q.FuncArg]1274callArgs = parenLst callArg12751276callInstr :: Parser Q.Statement1277callInstr = do1278 retValue <- optionMaybe $ do1279 i <- ws local <* ws (char '=')1280 a <- ws1 abity1281 return (i, a)1282 toCall <- ws1 (string "call") >> ws val1283 fnArgs <- callArgs1284 return $ Q.Call retValue toCall fnArgs1285\end{code}12861287The call instruction is special in several ways. It is not a three-address1288instruction and requires the type of all its arguments to be given. Also, the1289return type can be either a base type or an aggregate type. These specifics are1290required to compile calls with C compatibility (i.e., to respect the ABI).12911292When an aggregate type is used as argument type or return type, the value1293respectively passed or returned needs to be a pointer to a memory location1294holding the value. This is because aggregate types are not first-class1295citizens of the IL.12961297Sub-word types are used for arguments and return values of width less than a1298word. Details on these types are presented in the \nameref{sec:functions} section.1299Arguments with sub-word types need not be sign or zero extended according to1300their type. Calls with a sub-word return type define a temporary of base type1301\texttt{w} with its most significant bits unspecified.13021303Unless the called function does not return a value, a return temporary must be1304specified, even if it is never used afterwards.13051306An environment parameter can be passed as first argument using the \texttt{env}1307keyword. The passed value must be a 64-bit integer. If the called function does1308not expect an environment parameter, it will be safely discarded. See the1309\nameref{sec:functions} section for more information about environment1310parameters.13111312When the called function is variadic, there must be a \texttt{...} marker1313separating the named and variadic arguments.13141315\subsection{Variadic}1316\label{sec:variadic}13171318\begin{code}1319vastartInstr :: Parser Q.VolatileInstr1320vastartInstr = do1321 _ <- ws1 (string "vastart")1322 Q.VAStart <$> ws val1323\end{code}13241325The \texttt{vastart} and \texttt{vaarg} instructions provide a portable way to1326access the extra parameters of a variadic function.13271328\begin{enumerate}1329 \item \texttt{vastart} -- \texttt{(m)}1330 \item \texttt{vaarg} -- \texttt{T(mmmm)}1331\end{enumerate}13321333The \texttt{vastart} instruction initializes a variable argument list used to1334access the extra parameters of the enclosing variadic function. It is safe to1335call it multiple times.13361337The \texttt{vaarg} instruction fetches the next argument from a variable1338argument list. It is currently limited to fetching arguments that have a base1339type. This instruction is essentially effectful: calling it twice in a row will1340return two consecutive arguments from the argument list.13411342Both instructions take a pointer to a variable argument list as the sole argument.1343The size and alignment of the variable argument lists depends on the target used.13441345\subsection{Phi}13461347\begin{code}1348phiBranch :: Parser (Q.BlockIdent, Q.Value)1349phiBranch = do1350 n <- ws1 label1351 v <- val1352 pure (n, v)13531354phiInstr :: Parser Q.Phi1355phiInstr = do1356 -- TODO: code duplication with 'assign'1357 n <- ws local1358 t <- ws (char '=') >> ws1 baseType13591360 _ <- ws1 (string "phi")1361 -- TODO: combinator for sepBy1362 p <- Map.fromList <$> sepBy1 (ws phiBranch) (ws $ char ',')1363 return $ Q.Phi n t p1364\end{code}13651366First and foremost, phi instructions are NOT necessary when writing a frontend1367to QBE. One solution to avoid having to deal with SSA form is to use stack1368allocated variables for all source program variables and perform assignments1369and lookups using \nameref{sec:memory} operations. This is what LLVM users1370typically do.13711372Another solution is to simply emit code that is not in SSA form! Contrary to1373LLVM, QBE is able to fixup programs not in SSA form without requiring the1374boilerplate of loading and storing in memory. For example, the following1375program will be correctly compiled by QBE.13761377\begin{verbatim}1378@start1379 %x =w copy 1001380 %s =w copy 01381@loop1382 %s =w add %s, %x1383 %x =w sub %x, 11384 jnz %x, @loop, @end1385@end1386 ret %s1387\end{verbatim}13881389Now, if you want to know what phi instructions are and how to use them in QBE,1390you can read the following.13911392Phi instructions are specific to SSA form. In SSA form values can only be1393assigned once, without phi instructions, this requirement is too strong to1394represent many programs. For example consider the following C program.13951396\begin{verbatim}1397int f(int x) {1398 int y;1399 if (x)1400 y = 1;1401 else1402 y = 2;1403 return y;1404}1405\end{verbatim}14061407The variable \texttt{y} is assigned twice, the solution to translate it in SSA1408form is to insert a phi instruction.14091410\begin{verbatim}1411@ifstmt1412 jnz %x, @ift, @iff1413@ift1414 jmp @retstmt1415@iff1416 jmp @retstmt1417@retstmt1418 %y =w phi @ift 1, @iff 21419 ret %y1420\end{verbatim}14211422Phi instructions return one of their arguments depending on where the control1423came from. In the example, \texttt{\%y} is set to 1 if the1424\texttt{\textbackslash{}ift} branch is taken, or it is set to 2 otherwise.14251426An important remark about phi instructions is that QBE assumes that if a1427variable is defined by a phi it respects all the SSA invariants. So it is1428critical to not use phi instructions unless you know exactly what you are1429doing.14301431\subsection{Debug Information}14321433QBE supports the inclusion of debug information. Specifically, it allows1434defining from which source file type, data, and function definitions originated.1435For this purpose, it provides the \texttt{dbgfile} definition, which receives a1436file name (string literal) as its sole argument. Every type, data and function1437definition thereafter are assumed to originate in this file.14381439\begin{code}1440-- TODO: not documnted in the QBE BNF.1441fileDef :: Parser String1442fileDef = do1443 _ <- ws1 $ string "dbgfile"1444 wsNL1 strLit1445\end{code}14461447Further, instructions within a function can be associated with a specific line1448and column number of a previously defined \texttt{dbgfile}. The1449\texttt{dbgfile} is referenced by index using the first argument to1450\texttt{dbgloc}. The second argument represents the line number, the third1451(optional) argument the column number.14521453\begin{code}1454-- TODO: not documnted in the QBE BNF.1455dbglocInstr :: Parser Q.VolatileInstr1456dbglocInstr = do1457 _ <- ws1 $ string "dbgloc"1458 file <- ws decNumber <* ws (char ',')1459 line <- ws decNumber1460 col <- optionMaybe (ws (char ',') >> ws decNumber)1461 return $ Q.DBGLoc file line col1462\end{code}14631464\end{document}