Essential-of-Compilation/defs.tex

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\newcommand{\itm}[1]{\ensuremath{\mathit{#1}}}
\newcommand{\ttm}[1]{\ensuremath{\text{\texttt{#1}}}}

\newcommand{\LangInt}{\ensuremath{R_{\mathsf{Int}}}} % R0
\newcommand{\LangVar}{$R_{\mathsf{Var}}$} % R1
\newcommand{\LangVarM}{R_{\mathsf{Var}}}
\newcommand{\LangCVar}{$C_{\mathsf{Var}}$} % C0
\newcommand{\LangCVarM}{C_{\mathsf{Var}}} % C0
\newcommand{\LangVarANF}{\ensuremath{R^{\mathsf{ANF}}_{\mathsf{Var}}}}
\newcommand{\LangVarANFM}{R^{\mathsf{ANF}}_{\mathsf{Var}}}
\newcommand{\LangIf}{$R_{\mathsf{If}}$} %R2
\newcommand{\LangIfM}{\ensuremath{R_{\mathsf{If}}}} %R2
\newcommand{\LangCIf}{$C_{\mathsf{If}}$} %C1
\newcommand{\LangCIfM}{\ensuremath{C_{\mathsf{If}}}} %C1
\newcommand{\LangIfANF}{\ensuremath{R^{\mathsf{ANF}}_{\mathsf{if}}}} %R2
\newcommand{\LangVec}{$R_{\mathsf{Vec}}$} %R3
\newcommand{\LangVecM}{R_{\mathsf{Vec}}} %R3
\newcommand{\LangStruct}{\ensuremath{R^{\mathsf{Struct}}_{\mathsf{Vec}}}} %R^s3
\newcommand{\LangCVec}{$C_{\mathsf{Vec}}$} %C2
\newcommand{\LangCVecM}{C_{\mathsf{Vec}}} %C2
\newcommand{\LangVecANF}{\ensuremath{R^{\mathsf{ANF}}_{\mathsf{Vec}}}} %R3
\newcommand{\LangVecANFM}{R^{\mathsf{ANF}}_{\mathsf{Vec}}} %R3
\newcommand{\LangAlloc}{\ensuremath{R_{\mathsf{Alloc}}}} %R3'
\newcommand{\LangFun}{$R_{\mathsf{Fun}}$} %R4
\newcommand{\LangFunM}{R_{\mathsf{Fun}}} %R4
\newcommand{\LangCFun}{$C_{\mathsf{Fun}}$} %C3
\newcommand{\LangCFunM}{C_{\mathsf{Fun}}} %C3
\newcommand{\LangFunANF}{\ensuremath{R^{\mathsf{ANF}}_{\mathsf{Fun}}}} %R4
\newcommand{\LangFunRef}{$R_{\mathsf{FunRef}}$} %F1
\newcommand{\LangFunRefM}{R_{\mathsf{FunRef}}} %F1
\newcommand{\LangFunRefAlloc}{\ensuremath{R^{\mathsf{Alloc}}_{\mathsf{FunRef}}}} %R'4
\newcommand{\LangLam}{$R_\lambda$} %R5
\newcommand{\LangLamM}{\ensuremath{R_\lambda}} %R5
\newcommand{\LangCLam}{$C_{\mathsf{Clos}}$} %C4
\newcommand{\LangCLamM}{C_{\mathsf{Clos}}} %C4
\newcommand{\LangAny}{$R_{\mathsf{Any}}$} %R6
\newcommand{\LangAnyM}{R_{\mathsf{Any}}} %R6
\newcommand{\LangAnyFunRef}{\ensuremath{R^{\mathsf{FunRef}}_{\mathsf{Any}}}} %R'6
\newcommand{\LangAnyAlloc}{\ensuremath{R^{\mathsf{Alloc}}_{\mathsf{Any}}}} %R'6
\newcommand{\LangCAny}{$C_{\mathsf{Any}}$} %C5
\newcommand{\LangCAnyM}{C_{\mathsf{Any}}} %C5
\newcommand{\LangDyn}{$R_{\mathsf{Dyn}}$} %R7
\newcommand{\LangDynM}{R_{\mathsf{Dyn}}} %R7
\newcommand{\LangDynFunRef}{\ensuremath{R^{\mathsf{FunRef}}_{\mathsf{Dyn}}}} %R'7
\newcommand{\LangLoop}{$R_{\mathsf{While}}$} %R8
\newcommand{\LangLoopM}{R_{\mathsf{While}}} %R8
\newcommand{\LangLoopFunRef}{\ensuremath{R^{\mathsf{FunRef}}_{\mathsf{While}}}} %R'8
\newcommand{\LangLoopAlloc}{\ensuremath{R^{\mathsf{Alloc}}_{\mathsf{While}}}} %R'8
\newcommand{\LangCLoop}{$C_{\circlearrowleft}$} %C7
\newcommand{\LangCLoopM}{C_{\circlearrowleft}} %C7
\newcommand{\LangLoopANF}{\ensuremath{R^{\mathsf{ANF}}_{\mathsf{While}}}} %R8
\newcommand{\LangArray}{\ensuremath{R^{\mathsf{Vecof}}_{\mathsf{While}}}} %R^s3
\newcommand{\LangGrad}{$R_{\mathsf{?}}$} %R9
\newcommand{\LangGradM}{R_{\mathsf{?}}} %R9
\newcommand{\LangCast}{$R_{\mathsf{cast}}$} %R9'
\newcommand{\LangCastM}{R_{\mathsf{cast}}} %R9'
\newcommand{\LangProxy}{\ensuremath{R_{\mathsf{proxy}}}} %R8''
\newcommand{\LangPVec}{\ensuremath{R_{\mathsf{PVec}}}} %R8''
\newcommand{\LangPVecFunRef}{\ensuremath{R^{\mathsf{FunRef}}_{\mathsf{PVec}}}} %R8''
\newcommand{\LangPVecAlloc}{\ensuremath{R^{\mathsf{Alloc}}_{\mathsf{PVec}}}} %R8''
\newcommand{\LangPoly}{\ensuremath{R_{\mathsf{Poly}}}} %R10
\newcommand{\LangInst}{\ensuremath{R_{\mathsf{Inst}}}} %R'10
\newcommand{\LangCLoopPVec}{\ensuremath{C^{\mathsf{PVec}}_{\circlearrowleft}}} %Cp7

\newcommand{\LangXVar}{\ensuremath{\mathrm{x86}_{\mathsf{Var}}}} % pseudo x86_0
\newcommand{\LangXASTInt}{\ensuremath{\mathrm{x86}_{\mathsf{Int}}}} % x86_0
\newcommand{\LangXInt}{$\mathrm{x86}_{\mathsf{Int}}$} %x86^{\dagger}_0
\newcommand{\LangXIntM}{\mathrm{x86}_{\mathsf{Int}}} %x86^{\dagger}_0
\newcommand{\LangXASTIf}{\ensuremath{\mathrm{x86}_{\mathsf{If}}}} %x86_1
\newcommand{\LangXIf}{$\mathrm{x86}_{\mathsf{If}}$} %x86^{\dagger}_1
\newcommand{\LangXIfM}{\mathrm{x86}_{\mathsf{If}}} %x86^{\dagger}_1
\newcommand{\LangXIfVar}{\ensuremath{\mathrm{x86}^{\mathsf{Var}}_{\mathsf{If}}}} %x86^{*}_1
\newcommand{\LangXASTGlobal}{\ensuremath{\mathrm{x86}_{\mathsf{Global}}}} %x86_2
\newcommand{\LangXGlobal}{$\mathrm{x86}_{\mathsf{Global}}$} %x86^{\dagger}_2
\newcommand{\LangXGlobalM}{\mathrm{x86}_{\mathsf{Global}}} %x86^{\dagger}_2
\newcommand{\LangXGlobalVar}{\ensuremath{\mathrm{x86}^{\mathsf{Var}}_{\mathsf{Global}}}} %x86^{*}_2
\newcommand{\LangXIndCall}{$\mathrm{x86}_{\mathsf{callq*}}$} %x86_3
\newcommand{\LangXIndCallM}{\mathrm{x86}_{\mathsf{callq*}}} %x86_3
\newcommand{\LangXIndCallVar}{\ensuremath{\mathrm{x86}^{\mathsf{Var}}_{\mathsf{callq*}}}} %x86^*_3

\newcommand{\Stmt}{\itm{stmt}}
\newcommand{\Exp}{\itm{exp}}
\newcommand{\Def}{\itm{def}}
\newcommand{\Type}{\itm{type}}
\newcommand{\FType}{\itm{ftype}}
\newcommand{\Instr}{\itm{instr}}
\newcommand{\Block}{\itm{block}}
\newcommand{\Tail}{\itm{tail}}
\newcommand{\Prog}{\itm{prog}}
\newcommand{\Arg}{\itm{arg}}
\newcommand{\Atm}{\itm{atm}}
\newcommand{\Reg}{\itm{reg}}
\newcommand{\Int}{\itm{int}}
\newcommand{\Var}{\itm{var}}
\newcommand{\Op}{\itm{op}}
\newcommand{\key}[1]{\texttt{#1}}
\newcommand{\code}[1]{\texttt{#1}}

\newcommand{\LP}[0]{\key{(}}
\newcommand{\RP}[0]{\key{)}}
\newcommand{\LS}[0]{\key{[}}
\newcommand{\RS}[0]{\key{]}}
\newcommand{\INT}[1]{\key{(Int}~#1\key{)}}
\newcommand{\BOOL}[1]{\key{(Bool}~#1\key{)}}
\newcommand{\PRIM}[2]{\LP\key{Prim}~#1~\LP #2\RP\RP}
\newcommand{\READ}{\key{(Prim}~\code{read}~\key{())}}
\newcommand{\CREAD}{\key{(read)}}
\newcommand{\NEG}[1]{\key{(Prim}~\code{-}~\code{(}#1\code{))}}
\newcommand{\CNEG}[1]{\LP\key{-}~#1\RP}
\newcommand{\PROGRAM}[2]{\LP\code{Program}~#1~#2\RP}
\newcommand{\CPROGRAM}[2]{\LP\code{CProgram}~#1~#2\RP}
\newcommand{\XPROGRAM}[2]{\LP\code{X86Program}~#1~#2\RP}
\newcommand{\PROGRAMDEFSEXP}[3]{\code{(ProgramDefsExp}~#1~#2~#3\code{)}}
\newcommand{\PROGRAMDEFS}[2]{\code{(ProgramDefs}~#1~#2\code{)}}
\newcommand{\ADD}[2]{\key{(Prim}~\code{+}~\code{(}#1~#2\code{))}}
\newcommand{\CADD}[2]{\LP\key{+}~#1~#2\RP}
\newcommand{\CMUL}[2]{\LP\key{*}~#1~#2\RP}
\newcommand{\SUB}[2]{\key{(Prim}~\code{-}~\code{(}#1~#2\code{))}}
\newcommand{\CSUB}[2]{\LP\key{-}~#1~#2\RP}
\newcommand{\CWHILE}[2]{\LP\key{while}~#1~#2\RP}
\newcommand{\WHILE}[2]{\LP\key{WhileLoop}~#1~#2\RP}
\newcommand{\CBEGIN}[2]{\LP\key{begin}~#1~#2\RP}
\newcommand{\CMAKEVEC}[2]{\LP\key{make-vector}~#1~#2\RP}
\newcommand{\BEGIN}[2]{\LP\key{Begin}~#1~#2\RP}
\newcommand{\CSETBANG}[2]{\LP\key{set!}~#1~#2\RP}
\newcommand{\SETBANG}[2]{\LP\key{SetBang}~#1~#2\RP}
\newcommand{\AND}[2]{\key{(Prim}~\code{and}~\code{(}#1~#2\code{))}}
\newcommand{\OR}[2]{\key{(Prim}~\code{or}~\code{(}#1~#2\code{))}}
\newcommand{\NOT}[1]{\key{(Prim}~\code{not}~\code{(}#1~\code{))}}
\newcommand{\UNIOP}[2]{\key{(Prim}~#1~\code{(}#2\code{))}}
\newcommand{\CUNIOP}[2]{\LP #1~#2 \RP}
\newcommand{\BINOP}[3]{\key{(Prim}~#1~\code{(}#2~#3\code{))}}
\newcommand{\CBINOP}[3]{\LP #1~#2~#3\RP}
\newcommand{\CLET}[3]{\LP\key{let}~\LP\LS#1~#2\RS\RP~#3\RP}
\newcommand{\CIF}[3]{\LP\key{if}~#1~#2~#3\RP}
\newcommand{\VAR}[1]{\key{(Var}~#1\key{)}}
\newcommand{\LET}[3]{\key{(Let}~#1~#2~#3\key{)}}
\newcommand{\IF}[3]{\key{(If}\,#1~#2~#3\key{)}}
\newcommand{\CAST}[3]{\LP\key{Cast}~#1~#2~#3\RP}
\newcommand{\VECTOR}[1]{\LP\key{Prim}~\code{vector}~\LP~#1\RP\RP}
\newcommand{\VECREF}[2]{\LP\key{Prim}~\code{vector-ref}~\LP~#1~#2\RP\RP}
\newcommand{\VECSET}[3]{\LP\key{Prim}~\code{vector-set!}~\LP~#1~#2~#3\RP\RP}
\newcommand{\VECLEN}[1]{\LP\key{Prim}~\code{vector-length}~\LP~#1\RP\RP}
\newcommand{\ANYVECREF}[2]{\LP\key{Prim}~\code{any-vector-ref}~\LP~#1~#2\RP\RP}
\newcommand{\ANYVECSET}[3]{\LP\key{Prim}~\code{any-vector-set!}~\LP~#1~#2~#3\RP\RP}
\newcommand{\ANYVECLEN}[1]{\LP\key{Prim}~\code{any-vector-length}~\LP~#1\RP\RP}
\newcommand{\CLOSURE}[2]{\LP\key{Closure}~#1~#2\RP}
\newcommand{\ALLOC}[2]{\LP\key{Allocate}~#1~#2\RP}
\newcommand{\ALLOCCLOS}[3]{\LP\key{AllocateClosure}~#1~#2~#3\RP}

\newcommand{\VOID}[1]{\key{(Void)}}
\newcommand{\APPLY}[2]{\key{(Apply}~#1~#2\code{)}}
\newcommand{\CALL}[2]{\key{(Call}~#1~#2\code{)}}
\newcommand{\TAILCALL}[2]{\key{(TailCall}~#1~#2\code{)}}
\newcommand{\FUNDEF}[5]{\key{(Def}~#1~#2~#3~#4~#5\code{)}}
\newcommand{\FUNREF}[1]{\key{(FunRef}~#1\code{)}}
\newcommand{\CFUNREF}[1]{\key{(fun-ref}~#1\code{)}}
\newcommand{\FUNREFARITY}[2]{\key{(FunRefArity}~#1~#2\code{)}}
\newcommand{\CFUNREFARITY}[2]{\key{(fun-ref-arity}~#1~#2\code{)}}
\newcommand{\LAMBDA}[3]{\key{(Lambda}~#1~#2~#3\code{)}}
\newcommand{\CLAMBDA}[3]{\LP\key{lambda:}\,#1\,\key{:}\,#2~\Exp\RP}
\newcommand{\CGLAMBDA}[3]{\LP\key{lambda:}\,#1\,#2~\Exp\RP}
\newcommand{\INJECT}[2]{\LP\key{Inject}~#1~#2\RP}
\newcommand{\PROJECT}[2]{\LP\key{Project}~#1~#2\RP}
\newcommand{\CINJECT}[2]{\LP\key{inject}~#1~#2\RP}
\newcommand{\CPROJECT}[2]{\LP\key{project}~#1~#2\RP}
\newcommand{\VALUEOF}[2]{\LP\key{ValueOf}~#1~#2\RP}

\newcommand{\ASSIGN}[2]{\key{(Assign}~#1~#2\key{)}}
\newcommand{\RETURN}[1]{\key{(Return}~#1\key{)}}
\newcommand{\SEQ}[2]{\key{(Seq}~#1~#2\key{)}}
\newcommand{\GOTO}[1]{\key{(Goto}~#1\key{)}}
\newcommand{\IFSTMT}[3]{\key{(IfStmt}\,#1~#2~#3\key{)}}

\newcommand{\IMM}[1]{\key{(Imm}~#1\key{)}}
\newcommand{\REG}[1]{\key{(Reg}~#1\key{)}}
\newcommand{\BYTEREG}[1]{\key{(ByteReg}~#1\key{)}}
\newcommand{\DEREF}[2]{\key{(Deref}~#1~#2\key{)}}
\newcommand{\DEF}[5]{\LP\key{Def}~#1~#2~#3~#4~#5\RP}
\newcommand{\CDEF}[4]{\LP\key{define}~\LP#1~#2\RP\,\key{:}\,#3~#4\RP}
\newcommand{\CGDEF}[4]{\LP\key{define}~\LP#1~#2\RP\,#3~#4\RP}
\newcommand{\DECL}[2]{\LP\key{Decl}~#1~#2\RP}
\newcommand{\INST}[3]{\LP\key{Inst}~#1~#2~#3\RP}
\newcommand{\CFG}[1]{\key{(CFG}~#1\key{)}}
\newcommand{\BLOCK}[2]{\key{(Block}~#1~#2\key{)}}
\newcommand{\STACKLOC}[1]{(\key{stack}~#1)}
\newcommand{\BININSTR}[3]{\key{(Instr}~#1~\key{(}~#2~#3\key{))}}
\newcommand{\UNIINSTR}[2]{\key{(Instr}~#1~\key{(}~#2\key{))}}
\newcommand{\CALLQ}[2]{\key{(Callq}~#1~#2\key{)}}
\newcommand{\INDCALLQ}[2]{\key{(IndirectCallq}~#1~#2\key{)}}
\newcommand{\RETQ}{\key{(Retq)}}
\newcommand{\PUSHQ}[1]{\key{(Pushq}~#1\key{)}}
\newcommand{\POPQ}[1]{\key{(Popq}~#1\key{)}}
\newcommand{\JMP}[1]{\key{(Jmp}~#1\key{)}}
\newcommand{\TAILJMP}[2]{\key{(TailJmp}~#1~#2\key{)}}
\newcommand{\JMPIF}[2]{\key{(JmpIf}~#1~#2\key{)}}



\newcommand{\TTKEY}[1]{{\normalfont\tt #1}}

\newenvironment{transformation}{
  \newcommand{\compilesto}{%
    \end{minipage}&$\Rightarrow$&\begin{minipage}{0.4\textwidth}}
  \begin{center}\begin{tabular}{lll}\begin{minipage}{0.4\textwidth}
  }{%
  \end{minipage}\end{tabular}\end{center}%
}