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Revision 3081 - (download) (annotate)
Mon Mar 16 22:08:21 2015 UTC (4 years, 4 months ago) by jhr
File size: 20140 byte(s)
  detabbing
(* low-il.in
 *
 * COPYRIGHT (c) 2010 The Diderot Project (http://diderot-language.cs.uchicago.edu)
 * All rights reserved.
 *
 * Lower-level version of the Diderot IL input file.
 *
 *)

structure LowOps =
  struct

  (* required helper functions for types *)
    type ty = LowILTypes.ty
    val samety = LowILTypes.same
    val hashty = LowILTypes.hash
    val tyToString = LowILTypes.toString

  (* required helper functions for type lists *)
    type tys = ty list
    fun sametys (tys1, tys2) = ListPair.allEq samety (tys1, tys2)
    fun hashtys tys = List.foldl (fn (ty, s) => hashty ty + 0w3 * s) 0w0 tys
    fun tysToString tys = String.concat["[", String.concatWith "," (List.map tyToString tys), "]" ]

  (* required helper functions for the int type *)
    fun sameint (i1 : int, i2) = (i1 = i2)
    fun hashint i = Word.fromInt i
    fun intToString i = Int.toString i

  (* required helper functions for the string type *)
    fun samestring (s1 : string, s2) = (s1 = s2)
    val hashstring = HashString.hashString
    fun stringToString s = String.concat["\"", s, "\""]

  (* required helper functions for the mask type *)
    type mask = bool list
    val samemask : (mask * mask -> bool) = (op =)
    fun hashmask m =
          List.foldl (fn (false, w) => w+w | (true, w) => w+w+0w1)
            (Word.fromInt(List.length m)) m
    fun maskToString m =
          String.concat(List.map (fn true => "_" | false => ":") m)

  (* required helper functions for the input type *)
    type input = ty Inputs.input
    val sameinput = Inputs.same
    val hashinput = Inputs.hash
    val inputToString = Inputs.toString

  (* required helper functions for the index control type type *)
    type idxctl = IndexCtl.ctl
    val sameidxctl = IndexCtl.same
    val hashidxctl = IndexCtl.hash
    val idxctlToString = IndexCtl.toString

    datatype rator
      = Add of ty
      | Sub of ty
      | Mul of ty
      | Div of ty
      | Neg of ty
      | Abs of ty
      | LT of ty
      | LTE of ty
      | EQ of ty
      | NEQ of ty
      | GT of ty
      | GTE of ty
      | Not
      | Max
      | Min
      | Clamp of ty
      | Lerp of ty
      | Dot of int
      | MulVecMat of int * int
      | MulMatVec of int * int
      | MulMatMat of int * int * int
      | MulVecTen3 of int * int * int
      | MulTen3Vec of int * int * int
      | ColonMul of ty * ty
      | Cross
      | Norm of ty
      | Normalize of int
      | Scale of ty
      | PrincipleEvec of ty
      | EigenVecs2x2
      | EigenVecs3x3
      | EigenVals2x2
      | EigenVals3x3
      | Identity of int
      | Zero of ty
      | Transpose of int * int
      | Slice of ty * mask
      | Select of ty * int
      | Index of ty * int
      | Subscript of ty
      | MkDynamic of ty * int
      | Append of ty
      | Prepend of ty
      | Concat of ty
      | Length of ty
      | Ceiling of int
      | Floor of int
      | Round of int
      | Trunc of int
      | IntToReal
      | RealToInt of int
      | ImageAddress of ImageInfo.info
      | ControlIndex of ImageInfo.info * idxctl * int
      | LoadVoxels of ImageInfo.info * int
      | PosToImgSpace of ImageInfo.info
      | TensorToWorldSpace of ImageInfo.info * ty
      | Inside of ImageInfo.info * int
      | ImageDim of ImageInfo.info * int
      | LoadSeq of ty * string
      | LoadImage of ty * string
      | Input of input
      | InputWithDefault of input
      | Print of tys

    fun resultArity (Add _) = 1
      | resultArity (Sub _) = 1
      | resultArity (Mul _) = 1
      | resultArity (Div _) = 1
      | resultArity (Neg _) = 1
      | resultArity (Abs _) = 1
      | resultArity (LT _) = 1
      | resultArity (LTE _) = 1
      | resultArity (EQ _) = 1
      | resultArity (NEQ _) = 1
      | resultArity (GT _) = 1
      | resultArity (GTE _) = 1
      | resultArity Not = 1
      | resultArity Max = 1
      | resultArity Min = 1
      | resultArity (Clamp _) = 1
      | resultArity (Lerp _) = 1
      | resultArity (Dot _) = 1
      | resultArity (MulVecMat _) = 1
      | resultArity (MulMatVec _) = 1
      | resultArity (MulMatMat _) = 1
      | resultArity (MulVecTen3 _) = 1
      | resultArity (MulTen3Vec _) = 1
      | resultArity (ColonMul _) = 1
      | resultArity Cross = 1
      | resultArity (Norm _) = 1
      | resultArity (Normalize _) = 1
      | resultArity (Scale _) = 1
      | resultArity (PrincipleEvec _) = 1
      | resultArity EigenVecs2x2 = 1
      | resultArity EigenVecs3x3 = 1
      | resultArity EigenVals2x2 = 1
      | resultArity EigenVals3x3 = 1
      | resultArity (Identity _) = 1
      | resultArity (Zero _) = 1
      | resultArity (Transpose _) = 1
      | resultArity (Slice _) = 1
      | resultArity (Select _) = 1
      | resultArity (Index _) = 1
      | resultArity (Subscript _) = 1
      | resultArity (MkDynamic _) = 1
      | resultArity (Append _) = 2
      | resultArity (Prepend _) = 2
      | resultArity (Concat _) = 2
      | resultArity (Length _) = 1
      | resultArity (Ceiling _) = 1
      | resultArity (Floor _) = 1
      | resultArity (Round _) = 1
      | resultArity (Trunc _) = 1
      | resultArity IntToReal = 1
      | resultArity (RealToInt _) = 1
      | resultArity (ImageAddress _) = 1
      | resultArity (ControlIndex _) = 1
      | resultArity (LoadVoxels _) = 1
      | resultArity (PosToImgSpace _) = 1
      | resultArity (TensorToWorldSpace _) = 1
      | resultArity (Inside _) = 1
      | resultArity (ImageDim _) = 1
      | resultArity (LoadSeq _) = 1
      | resultArity (LoadImage _) = 1
      | resultArity (Input _) = 0
      | resultArity (InputWithDefault _) = 0
      | resultArity (Print _) = 0

    fun arity (Add _) = 2
      | arity (Sub _) = 2
      | arity (Mul _) = 2
      | arity (Div _) = 2
      | arity (Neg _) = 1
      | arity (Abs _) = 1
      | arity (LT _) = 2
      | arity (LTE _) = 2
      | arity (EQ _) = 2
      | arity (NEQ _) = 2
      | arity (GT _) = 2
      | arity (GTE _) = 2
      | arity Not = 1
      | arity Max = 2
      | arity Min = 2
      | arity (Clamp _) = 3
      | arity (Lerp _) = 3
      | arity (Dot _) = 2
      | arity (MulVecMat _) = 2
      | arity (MulMatVec _) = 2
      | arity (MulMatMat _) = 2
      | arity (MulVecTen3 _) = 2
      | arity (MulTen3Vec _) = 2
      | arity (ColonMul _) = 2
      | arity Cross = 2
      | arity (Norm _) = 1
      | arity (Normalize _) = 1
      | arity (Scale _) = 2
      | arity (PrincipleEvec _) = 2
      | arity EigenVecs2x2 = 1
      | arity EigenVecs3x3 = 1
      | arity EigenVals2x2 = 1
      | arity EigenVals3x3 = 1
      | arity (Identity _) = 0
      | arity (Zero _) = 0
      | arity (Transpose _) = 1
      | arity (Slice _) = 1
      | arity (Select _) = 1
      | arity (Index _) = 1
      | arity (Subscript _) = 2
      | arity (MkDynamic _) = 1
      | arity (Append _) = 1
      | arity (Prepend _) = 1
      | arity (Concat _) = 1
      | arity (Length _) = 1
      | arity (Ceiling _) = 1
      | arity (Floor _) = 1
      | arity (Round _) = 1
      | arity (Trunc _) = 1
      | arity IntToReal = 1
      | arity (RealToInt _) = 1
      | arity (ImageAddress _) = 1
      | arity (ControlIndex _) = 2
      | arity (LoadVoxels _) = 1
      | arity (PosToImgSpace _) = 2
      | arity (TensorToWorldSpace _) = 2
      | arity (Inside _) = 2
      | arity (ImageDim _) = 1
      | arity (LoadSeq _) = 0
      | arity (LoadImage _) = 0
      | arity (Input _) = 0
      | arity (InputWithDefault _) = 1
      | arity (Print _) = ~1

    fun isPure (MkDynamic _) = false
      | isPure (Append _) = false
      | isPure (Prepend _) = false
      | isPure (Concat _) = false
      | isPure (Input _) = false
      | isPure (InputWithDefault _) = false
      | isPure (Print _) = false
      | isPure _ = true

    fun same (Add(a0), Add(b0)) = samety(a0, b0)
      | same (Sub(a0), Sub(b0)) = samety(a0, b0)
      | same (Mul(a0), Mul(b0)) = samety(a0, b0)
      | same (Div(a0), Div(b0)) = samety(a0, b0)
      | same (Neg(a0), Neg(b0)) = samety(a0, b0)
      | same (Abs(a0), Abs(b0)) = samety(a0, b0)
      | same (LT(a0), LT(b0)) = samety(a0, b0)
      | same (LTE(a0), LTE(b0)) = samety(a0, b0)
      | same (EQ(a0), EQ(b0)) = samety(a0, b0)
      | same (NEQ(a0), NEQ(b0)) = samety(a0, b0)
      | same (GT(a0), GT(b0)) = samety(a0, b0)
      | same (GTE(a0), GTE(b0)) = samety(a0, b0)
      | same (Not, Not) = true
      | same (Max, Max) = true
      | same (Min, Min) = true
      | same (Clamp(a0), Clamp(b0)) = samety(a0, b0)
      | same (Lerp(a0), Lerp(b0)) = samety(a0, b0)
      | same (Dot(a0), Dot(b0)) = sameint(a0, b0)
      | same (MulVecMat(a0,a1), MulVecMat(b0,b1)) = sameint(a0, b0) andalso sameint(a1, b1)
      | same (MulMatVec(a0,a1), MulMatVec(b0,b1)) = sameint(a0, b0) andalso sameint(a1, b1)
      | same (MulMatMat(a0,a1,a2), MulMatMat(b0,b1,b2)) = sameint(a0, b0) andalso sameint(a1, b1) andalso sameint(a2, b2)
      | same (MulVecTen3(a0,a1,a2), MulVecTen3(b0,b1,b2)) = sameint(a0, b0) andalso sameint(a1, b1) andalso sameint(a2, b2)
      | same (MulTen3Vec(a0,a1,a2), MulTen3Vec(b0,b1,b2)) = sameint(a0, b0) andalso sameint(a1, b1) andalso sameint(a2, b2)
      | same (ColonMul(a0,a1), ColonMul(b0,b1)) = samety(a0, b0) andalso samety(a1, b1)
      | same (Cross, Cross) = true
      | same (Norm(a0), Norm(b0)) = samety(a0, b0)
      | same (Normalize(a0), Normalize(b0)) = sameint(a0, b0)
      | same (Scale(a0), Scale(b0)) = samety(a0, b0)
      | same (PrincipleEvec(a0), PrincipleEvec(b0)) = samety(a0, b0)
      | same (EigenVecs2x2, EigenVecs2x2) = true
      | same (EigenVecs3x3, EigenVecs3x3) = true
      | same (EigenVals2x2, EigenVals2x2) = true
      | same (EigenVals3x3, EigenVals3x3) = true
      | same (Identity(a0), Identity(b0)) = sameint(a0, b0)
      | same (Zero(a0), Zero(b0)) = samety(a0, b0)
      | same (Transpose(a0,a1), Transpose(b0,b1)) = sameint(a0, b0) andalso sameint(a1, b1)
      | same (Slice(a0,a1), Slice(b0,b1)) = samety(a0, b0) andalso samemask(a1, b1)
      | same (Select(a0,a1), Select(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
      | same (Index(a0,a1), Index(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
      | same (Subscript(a0), Subscript(b0)) = samety(a0, b0)
      | same (MkDynamic(a0,a1), MkDynamic(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
      | same (Append(a0), Append(b0)) = samety(a0, b0)
      | same (Prepend(a0), Prepend(b0)) = samety(a0, b0)
      | same (Concat(a0), Concat(b0)) = samety(a0, b0)
      | same (Length(a0), Length(b0)) = samety(a0, b0)
      | same (Ceiling(a0), Ceiling(b0)) = sameint(a0, b0)
      | same (Floor(a0), Floor(b0)) = sameint(a0, b0)
      | same (Round(a0), Round(b0)) = sameint(a0, b0)
      | same (Trunc(a0), Trunc(b0)) = sameint(a0, b0)
      | same (IntToReal, IntToReal) = true
      | same (RealToInt(a0), RealToInt(b0)) = sameint(a0, b0)
      | same (ImageAddress(a0), ImageAddress(b0)) = ImageInfo.same(a0, b0)
      | same (ControlIndex(a0,a1,a2), ControlIndex(b0,b1,b2)) = ImageInfo.same(a0, b0) andalso sameidxctl(a1, b1) andalso sameint(a2, b2)
      | same (LoadVoxels(a0,a1), LoadVoxels(b0,b1)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1)
      | same (PosToImgSpace(a0), PosToImgSpace(b0)) = ImageInfo.same(a0, b0)
      | same (TensorToWorldSpace(a0,a1), TensorToWorldSpace(b0,b1)) = ImageInfo.same(a0, b0) andalso samety(a1, b1)
      | same (Inside(a0,a1), Inside(b0,b1)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1)
      | same (ImageDim(a0,a1), ImageDim(b0,b1)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1)
      | same (LoadSeq(a0,a1), LoadSeq(b0,b1)) = samety(a0, b0) andalso samestring(a1, b1)
      | same (LoadImage(a0,a1), LoadImage(b0,b1)) = samety(a0, b0) andalso samestring(a1, b1)
      | same (Input(a0), Input(b0)) = sameinput(a0, b0)
      | same (InputWithDefault(a0), InputWithDefault(b0)) = sameinput(a0, b0)
      | same (Print(a0), Print(b0)) = sametys(a0, b0)
      | same _ = false

    fun hash (Add(a0)) = 0w3 + hashty a0
      | hash (Sub(a0)) = 0w5 + hashty a0
      | hash (Mul(a0)) = 0w7 + hashty a0
      | hash (Div(a0)) = 0w11 + hashty a0
      | hash (Neg(a0)) = 0w13 + hashty a0
      | hash (Abs(a0)) = 0w17 + hashty a0
      | hash (LT(a0)) = 0w19 + hashty a0
      | hash (LTE(a0)) = 0w23 + hashty a0
      | hash (EQ(a0)) = 0w29 + hashty a0
      | hash (NEQ(a0)) = 0w31 + hashty a0
      | hash (GT(a0)) = 0w37 + hashty a0
      | hash (GTE(a0)) = 0w41 + hashty a0
      | hash Not = 0w43
      | hash Max = 0w47
      | hash Min = 0w53
      | hash (Clamp(a0)) = 0w59 + hashty a0
      | hash (Lerp(a0)) = 0w61 + hashty a0
      | hash (Dot(a0)) = 0w67 + hashint a0
      | hash (MulVecMat(a0,a1)) = 0w71 + hashint a0 + hashint a1
      | hash (MulMatVec(a0,a1)) = 0w73 + hashint a0 + hashint a1
      | hash (MulMatMat(a0,a1,a2)) = 0w79 + hashint a0 + hashint a1 + hashint a2
      | hash (MulVecTen3(a0,a1,a2)) = 0w83 + hashint a0 + hashint a1 + hashint a2
      | hash (MulTen3Vec(a0,a1,a2)) = 0w89 + hashint a0 + hashint a1 + hashint a2
      | hash (ColonMul(a0,a1)) = 0w97 + hashty a0 + hashty a1
      | hash Cross = 0w101
      | hash (Norm(a0)) = 0w103 + hashty a0
      | hash (Normalize(a0)) = 0w107 + hashint a0
      | hash (Scale(a0)) = 0w109 + hashty a0
      | hash (PrincipleEvec(a0)) = 0w113 + hashty a0
      | hash EigenVecs2x2 = 0w127
      | hash EigenVecs3x3 = 0w131
      | hash EigenVals2x2 = 0w137
      | hash EigenVals3x3 = 0w139
      | hash (Identity(a0)) = 0w149 + hashint a0
      | hash (Zero(a0)) = 0w151 + hashty a0
      | hash (Transpose(a0,a1)) = 0w157 + hashint a0 + hashint a1
      | hash (Slice(a0,a1)) = 0w163 + hashty a0 + hashmask a1
      | hash (Select(a0,a1)) = 0w167 + hashty a0 + hashint a1
      | hash (Index(a0,a1)) = 0w173 + hashty a0 + hashint a1
      | hash (Subscript(a0)) = 0w179 + hashty a0
      | hash (MkDynamic(a0,a1)) = 0w181 + hashty a0 + hashint a1
      | hash (Append(a0)) = 0w191 + hashty a0
      | hash (Prepend(a0)) = 0w193 + hashty a0
      | hash (Concat(a0)) = 0w197 + hashty a0
      | hash (Length(a0)) = 0w199 + hashty a0
      | hash (Ceiling(a0)) = 0w211 + hashint a0
      | hash (Floor(a0)) = 0w223 + hashint a0
      | hash (Round(a0)) = 0w227 + hashint a0
      | hash (Trunc(a0)) = 0w229 + hashint a0
      | hash IntToReal = 0w233
      | hash (RealToInt(a0)) = 0w239 + hashint a0
      | hash (ImageAddress(a0)) = 0w241 + ImageInfo.hash a0
      | hash (ControlIndex(a0,a1,a2)) = 0w251 + ImageInfo.hash a0 + hashidxctl a1 + hashint a2
      | hash (LoadVoxels(a0,a1)) = 0w257 + ImageInfo.hash a0 + hashint a1
      | hash (PosToImgSpace(a0)) = 0w263 + ImageInfo.hash a0
      | hash (TensorToWorldSpace(a0,a1)) = 0w269 + ImageInfo.hash a0 + hashty a1
      | hash (Inside(a0,a1)) = 0w271 + ImageInfo.hash a0 + hashint a1
      | hash (ImageDim(a0,a1)) = 0w277 + ImageInfo.hash a0 + hashint a1
      | hash (LoadSeq(a0,a1)) = 0w281 + hashty a0 + hashstring a1
      | hash (LoadImage(a0,a1)) = 0w283 + hashty a0 + hashstring a1
      | hash (Input(a0)) = 0w293 + hashinput a0
      | hash (InputWithDefault(a0)) = 0w307 + hashinput a0
      | hash (Print(a0)) = 0w311 + hashtys a0

    fun toString (Add(a0)) = concat["Add<", tyToString a0, ">"]
      | toString (Sub(a0)) = concat["Sub<", tyToString a0, ">"]
      | toString (Mul(a0)) = concat["Mul<", tyToString a0, ">"]
      | toString (Div(a0)) = concat["Div<", tyToString a0, ">"]
      | toString (Neg(a0)) = concat["Neg<", tyToString a0, ">"]
      | toString (Abs(a0)) = concat["Abs<", tyToString a0, ">"]
      | toString (LT(a0)) = concat["LT<", tyToString a0, ">"]
      | toString (LTE(a0)) = concat["LTE<", tyToString a0, ">"]
      | toString (EQ(a0)) = concat["EQ<", tyToString a0, ">"]
      | toString (NEQ(a0)) = concat["NEQ<", tyToString a0, ">"]
      | toString (GT(a0)) = concat["GT<", tyToString a0, ">"]
      | toString (GTE(a0)) = concat["GTE<", tyToString a0, ">"]
      | toString Not = "Not"
      | toString Max = "Max"
      | toString Min = "Min"
      | toString (Clamp(a0)) = concat["Clamp<", tyToString a0, ">"]
      | toString (Lerp(a0)) = concat["Lerp<", tyToString a0, ">"]
      | toString (Dot(a0)) = concat["Dot<", intToString a0, ">"]
      | toString (MulVecMat(a0,a1)) = concat["MulVecMat<", intToString a0, ",", intToString a1, ">"]
      | toString (MulMatVec(a0,a1)) = concat["MulMatVec<", intToString a0, ",", intToString a1, ">"]
      | toString (MulMatMat(a0,a1,a2)) = concat["MulMatMat<", intToString a0, ",", intToString a1, ",", intToString a2, ">"]
      | toString (MulVecTen3(a0,a1,a2)) = concat["MulVecTen3<", intToString a0, ",", intToString a1, ",", intToString a2, ">"]
      | toString (MulTen3Vec(a0,a1,a2)) = concat["MulTen3Vec<", intToString a0, ",", intToString a1, ",", intToString a2, ">"]
      | toString (ColonMul(a0,a1)) = concat["ColonMul<", tyToString a0, ",", tyToString a1, ">"]
      | toString Cross = "Cross"
      | toString (Norm(a0)) = concat["Norm<", tyToString a0, ">"]
      | toString (Normalize(a0)) = concat["Normalize<", intToString a0, ">"]
      | toString (Scale(a0)) = concat["Scale<", tyToString a0, ">"]
      | toString (PrincipleEvec(a0)) = concat["PrincipleEvec<", tyToString a0, ">"]
      | toString EigenVecs2x2 = "EigenVecs2x2"
      | toString EigenVecs3x3 = "EigenVecs3x3"
      | toString EigenVals2x2 = "EigenVals2x2"
      | toString EigenVals3x3 = "EigenVals3x3"
      | toString (Identity(a0)) = concat["Identity<", intToString a0, ">"]
      | toString (Zero(a0)) = concat["Zero<", tyToString a0, ">"]
      | toString (Transpose(a0,a1)) = concat["Transpose<", intToString a0, ",", intToString a1, ">"]
      | toString (Slice(a0,a1)) = concat["Slice<", tyToString a0, ",", maskToString a1, ">"]
      | toString (Select(a0,a1)) = concat["Select<", tyToString a0, ",", intToString a1, ">"]
      | toString (Index(a0,a1)) = concat["Index<", tyToString a0, ",", intToString a1, ">"]
      | toString (Subscript(a0)) = concat["Subscript<", tyToString a0, ">"]
      | toString (MkDynamic(a0,a1)) = concat["MkDynamic<", tyToString a0, ",", intToString a1, ">"]
      | toString (Append(a0)) = concat["Append<", tyToString a0, ">"]
      | toString (Prepend(a0)) = concat["Prepend<", tyToString a0, ">"]
      | toString (Concat(a0)) = concat["Concat<", tyToString a0, ">"]
      | toString (Length(a0)) = concat["Length<", tyToString a0, ">"]
      | toString (Ceiling(a0)) = concat["Ceiling<", intToString a0, ">"]
      | toString (Floor(a0)) = concat["Floor<", intToString a0, ">"]
      | toString (Round(a0)) = concat["Round<", intToString a0, ">"]
      | toString (Trunc(a0)) = concat["Trunc<", intToString a0, ">"]
      | toString IntToReal = "IntToReal"
      | toString (RealToInt(a0)) = concat["RealToInt<", intToString a0, ">"]
      | toString (ImageAddress(a0)) = concat["ImageAddress<", ImageInfo.toString a0, ">"]
      | toString (ControlIndex(a0,a1,a2)) = concat["ControlIndex<", ImageInfo.toString a0, ",", idxctlToString a1, ",", intToString a2, ">"]
      | toString (LoadVoxels(a0,a1)) = concat["LoadVoxels<", ImageInfo.toString a0, ",", intToString a1, ">"]
      | toString (PosToImgSpace(a0)) = concat["PosToImgSpace<", ImageInfo.toString a0, ">"]
      | toString (TensorToWorldSpace(a0,a1)) = concat["TensorToWorldSpace<", ImageInfo.toString a0, ",", tyToString a1, ">"]
      | toString (Inside(a0,a1)) = concat["Inside<", ImageInfo.toString a0, ",", intToString a1, ">"]
      | toString (ImageDim(a0,a1)) = concat["ImageDim<", ImageInfo.toString a0, ",", intToString a1, ">"]
      | toString (LoadSeq(a0,a1)) = concat["LoadSeq<", tyToString a0, ",", stringToString a1, ">"]
      | toString (LoadImage(a0,a1)) = concat["LoadImage<", tyToString a0, ",", stringToString a1, ">"]
      | toString (Input(a0)) = concat["Input<", inputToString a0, ">"]
      | toString (InputWithDefault(a0)) = concat["InputWithDefault<", inputToString a0, ">"]
      | toString (Print(a0)) = concat["Print<", tysToString a0, ">"]

  end

structure LowIL = SSAFn(
  val ilName = "low-il"
  structure Ty = LowILTypes
  structure Op = LowOps)

structure LowILCensus = CensusFn(LowIL)


root@smlnj-gforge.cs.uchicago.edu
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