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View of /branches/charisee/src/compiler/translate/translate-basis.sml

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Revision 2490 - (download) (annotate)
Mon Oct 21 21:17:25 2013 UTC (5 years, 11 months ago) by jhr
File size: 15957 byte(s)
  Merging in changes from trunk
(* translate-basis.sml
 *
 * COPYRIGHT (c) 2010 The Diderot Project (http://diderot-language.cs.uchicago.edu)
 * All rights reserved.
 *
 * Translation for basis operations in Simple AST to HighIL code
 *)

structure TranslateBasis : sig

  (* translate(lhs, f, mvs, args) translates the application of f (specialized
   * to the instantiated meta variables mvs) to a list of SSA assignments in
   * reverse order.
   *)
    val translate : (HighIL.var * Var.var * SimpleTypes.meta_arg list * HighIL.var list)
          -> HighIL.assignment list

  end = struct

    structure BV = BasisVars
    structure IL = HighIL
    structure DstTy = HighILTypes
    structure Op = HighOps
    structure Ty = SimpleTypes
    structure VTbl = Var.Tbl
    structure EinOp = Operators
    structure S = Specialize

    fun trType (Ty.TY ty) = TranslateTy.tr ty
      | trType _ = raise Fail "expected type"
    fun dimVarToInt (Ty.DIM d) = d
      | dimVarToInt _ = raise Fail "expected dim"
    fun dimVarToTensor dv = DstTy.tensorTy[dimVarToInt dv]
    fun dimVarToMatrix dv = let
          val d = dimVarToInt dv
          in
            DstTy.tensorTy[d, d]        (* square matrix type *)
          end
    fun shapeVarToTensor (Ty.SHAPE shp) = DstTy.tensorTy shp
      | shapeVarToTensor _ = raise Fail "expected shape"

    fun assign (y, rator, xs) = [IL.ASSGN(y, IL.OP(rator, xs))]

    fun basisFn name (y, [], xs) = [IL.ASSGN(y, IL.APPLY(name, xs))]

    fun simpleOp rator (y, [], xs) = assign (y, rator, xs)

    fun tensorOp rator (y, [sv], xs) = assign (y, rator(shapeVarToTensor sv), xs)

    fun vectorOp rator (y, [dv], xs) = assign (y, rator(dimVarToTensor dv), xs)

    fun kernel h (y, [], []) = assign(y, Op.Kernel(h, 0), [])

  (* utility functions for synthesizing eigenvector/eigenvalue code *)
    fun eigenVec (rator, dim) = let
          val ty = DstTy.SeqTy(DstTy.realTy, dim)
          in
            fn (y, _, [m]) => let
                val v = IL.Var.new("evals", ty)
                in
                  [IL.MASSGN([v, y], rator, [m])]
                end
          end
    fun eigenVal (rator, dim) = let
          val ty = DstTy.SeqTy(DstTy.vecTy dim, dim)
          in
            fn (y, _, [m]) => let
                val v = IL.Var.new("evecs", ty)
                in
                  [IL.MASSGN([y, v], rator, [m])]
                end
          end

    fun assignEin (y, rator, xs) = [IL.ASSGN(y, IL.EINAPP(rator, xs))]

    fun assignEin2 (y, rator, xs) = IL.ASSGN(y, IL.EINAPP(rator, xs))

    fun simpleEinOp rator (y, _,xs) = assignEin(y, rator, xs)

    fun peelFieldSK SK = [2]  (*(case TU.pruneShape(MV.toShape SK)
            of Ty.Shape dd =>  List.map pruneDim dd
            | shp => raise Fail("unresolved shape " ^ TU.shapeToString shp)
            (* end case *))*)

    fun tensorEinOp einop (y, [SK], xs) = let
          val ty1 as DstTy.TensorTy dd1 = pruneShape SK
          val rator =S.transform(einop,[dd1],[])
          in
            assignEin(y, rator,xs)
          end

    fun scalarField (einop, paramarg, y, xs) = let
          val paramarg' = List.map dimVarToInt  paramarg(*[2]*)
          val rator = S.transform(einop, [[]], paramarg')
          in
            assignEin(y, rator, xs)
          end

    fun singleField (SK, einop, paramarg, y, xs) = let
          val s=peelFieldSK SK
          val paramarg'= List.map dimVarToInt paramarg (*[2]*)
          val rator= S.transform(einop, [s],paramarg')
          in
            assignEin(y, rator, xs)
          end

(****MV.toDim returns int, and DstTy.TensorTy returns intlist *)

(*DK- SK-shape,NK-dim *)

(* shape is an int list, DIM is in int|variable, k-level of differntiation *)

 (* build a table that maps Basis variables to their translation functions *)
    val tbl : ((IL.var * Ty.meta_arg list * IL.var list) -> IL.assignment list) VTbl.hash_table = let
          val tbl = VTbl.mkTable (128, Fail "Translate table")
          val insert = VTbl.insert tbl
          in
            List.app insert [
                (BV.lt_ii,              simpleOp(Op.LT DstTy.IntTy)),
                (BV.lt_rr,              simpleOp(Op.LT DstTy.realTy)),
                (BV.lte_ii,             simpleOp(Op.LTE DstTy.IntTy)),
                (BV.lte_rr,             simpleOp(Op.LTE DstTy.realTy)),
                (BV.gte_ii,             simpleOp(Op.GTE DstTy.IntTy)),
                (BV.gte_rr,             simpleOp(Op.GTE(DstTy.realTy))),
                (BV.gt_ii,              simpleOp(Op.GT DstTy.IntTy)),
                (BV.gt_rr,              simpleOp(Op.GT(DstTy.realTy))),
                (BV.equ_bb,             simpleOp(Op.EQ DstTy.BoolTy)),
                (BV.equ_ii,             simpleOp(Op.EQ DstTy.IntTy)),
                (BV.equ_ss,             simpleOp(Op.EQ DstTy.StringTy)),
                (BV.equ_rr,             simpleOp(Op.EQ(DstTy.realTy))),
                (BV.neq_bb,             simpleOp(Op.NEQ DstTy.BoolTy)),
                (BV.neq_ii,             simpleOp(Op.NEQ DstTy.IntTy)),
                (BV.neq_ss,             simpleOp(Op.NEQ DstTy.StringTy)),
                (BV.neq_rr,             simpleOp(Op.NEQ(DstTy.realTy))),
                (BV.add_ii,             simpleOp Op.IAdd ),
                (BV.add_tt,             tensorEinOp EinOp.addTensor),
                (BV.add_ff,             fn (y, [_,NK,SK], xs)=> singleField(SK,EinOp.addField, [NK,NK], y, xs)),
                (BV.add_fr,             fn (y, [_,NK], xs)=>    scalarField(EinOp.addTenField,[NK],y, xs)),
                (BV.add_rf,             fn (y, [_,NK], [s, f])=>scalarField(EinOp.addTenField,[NK],y,[f,s])),
                (BV.sub_ii,              simpleOp Op.ISub ),
                (BV.sub_tt,             tensorEinOp EinOp.subTensor),
                (BV.sub_ff,             fn (y, [_,NK,SK], xs)=>singleField(SK,EinOp.subField, [NK,NK],y,xs)),
                (BV.sub_fr,             fn (y, [_,NK], xs) =>     scalarField(EinOp.subField,[NK], y,xs)),
                (BV.sub_rf,             fn (y, [_,NK], [s, f]) => scalarField(EinOp.subField,[NK], y,[f, s])),

                (* CHANGE create negative subtraction*)
                (BV.mul_ii,             simpleOp Op.IMul),
                (BV.mul_rr,             fn (y,_,args)=>
                            assignEin(y, EinOp.prodScalar,args)),

                (BV.mul_rt,             tensorEinOp EinOp.scaleTensor),
                (BV.mul_tr,             fn (y, [SK], [t, r])=>let
                                         val ty1 as DstTy.TensorTy dd1 = pruneShape SK
                                            val rator =S.transform(EinOp.scaleTensor,[dd1],[])
                                        in
                                            assignEin(y, rator,[r,t])
                                        end),



              (BV.mul_rf,             fn (y,[_,NK,SK], xs)=> singleField(SK,EinOp.scaleField,[NK],y, xs)),



                (BV.mul_fr,             fn (y, [_,NK,SK], [f, s])=> singleField(SK,EinOp.scaleField, [NK],y,[s,f])),

                (BV.div_ii,             simpleOp Op.IDiv),
                (BV.div_rr,              fn (y,_,args)=>
                            assignEin(y, EinOp.divScalar,args)),

               (BV.div_tr,             tensorEinOp EinOp.divideTensor),

                (BV.div_fr,             fn (y, [_,NK,SK], xs) =>singleField(SK,EinOp.divideField, [NK],y, xs)),
                (BV.exp_ri,             simpleOp(Op.Power)),
                (BV.exp_rr,             basisFn MathFuns.pow),
                (BV.curl2D,             simpleEinOp EinOp.Curl2d),
                (BV.curl3D,             simpleEinOp EinOp.Curl3d),
                (BV.convolve_vk,        fn (y, [_, NK, SK], xs) => singleField(SK,EinOp.conv, [NK],y,xs)),
                (BV.convolve_kv,        fn (y, [_, NK, SK], [k, v]) =>singleField(SK,EinOp.conv, [NK],y,[v,k])),
                (BV.neg_i,              simpleOp Op.INeg),
                (BV.neg_t,              tensorEinOp EinOp.negTensor),


                (BV.neg_f,              fn (y, [_,NK,SK], xs) => singleField(SK,EinOp.negField, [NK],y,xs)),

                (BV.op_probe,           fn (y, [_, NK, SK], xs) =>
                                        let
                                            val dv=dimVarToTensor NK  (*Field*)
                                            val sv=shapeVarToTensor SK (*Position*)
                                            val dv'=peelFieldSK dv
                                            val sv'=peelFieldSK sv
                                            val einop= S.transform(EinOp.probe,[sv',dv'],[2])
                                        in assignEin(y, einop,xs)
                                        end),
                (BV.op_D,               fn (y, [_, NK], xs) => scalarField(EinOp.Grad,[NK], y,xs)),
                (BV.op_Dotimes,         fn (y, [_, NK, SK, NK2], xs) => singleField(SK,EinOp.Divergence,[NK], y,xs)),
                (BV.op_norm,            fn (y, [sv], xs) => (case shapeVarToTensor sv
                                           of DstTy.TensorTy[] => assign(y, Op.Abs DstTy.realTy, xs)
                                            | ty => assign(y, Op.Norm ty, xs)
                                          (* end case *))),

               (BV.op_not,             simpleOp Op.Not),
                (BV.op_cross,           simpleEinOp EinOp.crossProduct),
                (BV.op_outer,           fn (y, [dv1, dv2], xs) => let
                                            val d1 = [pruneDim(MV.toDim dv1)]
                                            val d2 = [pruneDim(MV.toDim dv2)]
                                          in
                                            assignEin( y, S.transform(EinOp.outerProduct,[d1,d2],[]),xs)
                                          end),
                (BV.op_inner,        fn (y, [sh1, sh2, _], xs) =>
                                            let
                                                val ty1 as DstTy.TensorTy dd1 = pruneShape sh1
                                                val ty2 as DstTy.TensorTy dd2 = pruneShape sh2
                                                val alpha= List.take(dd1, length(dd1)-1)
                                                val beta=  tl(dd2)
                                                val i =hd(dd2)
                                                val ilist=  [alpha, beta, [i]]
                                          in
                                            assignEin(y, S.transform(EinOp.innerProduct, ilist,[]),xs)
                                        end),

                (BV.op_colon,         fn (y, [sh1, sh2, _], xs) =>
                                            let
                                                val ty1 as DstTy.TensorTy dd1 = pruneShape sh1
                                                val ty2 as DstTy.TensorTy dd2 = pruneShape sh2
                                                val m= List.take(dd2,2)
                                                val i=hd(m)
                                                val j=tl(m)
                                                val alpha= List.take(dd1, length(dd1)-2)
                                                val beta=tl(tl(dd2))
                                                val ilist=[alpha, beta, [i], j]
                                            in
                                                assignEin(y, S.transform(EinOp.doubleDot, ilist,[]),xs)
                                            end),

                (BV.fn_inside,          fn (y, [_, dv, _], xs) =>
                                          assign(y, Op.Inside(pruneDim(MV.toDim dv)), xs)),
                (BV.clamp_rrr,          simpleOp (Op.Clamp DstTy.realTy)),
                (BV.clamp_vvv,          vectorOp Op.Clamp),
                (BV.lerp3,              tensorOp Op.Lerp),
                (BV.lerp5,         fn (y, [sv], [a, b, x0, x, x1]) =>let 
                    (*assignEin(y, EinOp.subScalar,[x,x0])),*)

                                          val t1 = IL.Var.new("t1", DstTy.realTy)
                                          val t2 = IL.Var.new("t2", DstTy.realTy)
                                          val t3 = IL.Var.new("t3", DstTy.realTy)
                                          in [
                                            assignEin2(t1, EinOp.subScalar,[x,x0]),
                                            assignEin2(t2, EinOp.subScalar,[x1,x0]),
                                            assignEin2(t3, EinOp.divScalar,[t1,t2]),

                                            IL.ASSGN(y,  IL.OP(Op.Lerp(shapeVarToTensor sv), [a, b, t3]))
                                          ] end),
                (BV.evals2x2,           eigenVal (Op.Eigen2x2, 2)),
                (BV.evals3x3,           eigenVal (Op.Eigen3x3, 3)),
                (BV.evecs2x2,           eigenVec (Op.Eigen2x2, 2)),
                (BV.evecs3x3,           eigenVec (Op.Eigen3x3, 3)),
                (BV.fn_max,             simpleOp Op.Max),
                (BV.fn_min,             simpleOp Op.Min),
                (BV.fn_modulate,        fn (y, _, xs) => assign (y, Op.IMul, xs)),
                (BV.fn_normalize,       vectorOp Op.Normalize),
                (BV.fn_principleEvec,   vectorOp Op.PrincipleEvec),

                (BV.fn_trace,           fn (y, [dv], xs) => let
                                            val d=dimVarToInt dv
                                        in
                                            assignEin(y,S.transform(EinOp.trace, [[d]],[]),xs)
                                        end),
                (BV.fn_transpose,       fn (y, [dv1, dv2], xs) => let
                                            val d1=dimVarToInt dv1
                                            val d2=dimVarToInt dv2
                                        in
                                            assignEin(y,S.transform(EinOp.transpose, [[d1],[d2]],[]),xs)
                                        end),
                (BV.kn_bspln3,          kernel Kernel.bspln3),
                (BV.kn_bspln5,          kernel Kernel.bspln5),
                (BV.kn_ctmr,            kernel Kernel.ctmr),
                (BV.kn_c2ctmr,          kernel Kernel.ctmr),
                (BV.kn_c4hexic,         kernel Kernel.c4hexic),
                (BV.kn_tent,            kernel Kernel.tent),
                (BV.kn_c1tent,          kernel Kernel.tent),
                (BV.i2r,                simpleOp Op.IntToReal),
                (BV.identity,           fn (y, [dv], xs) =>let
                                            val d=dimVarToInt dv
                                        in assignEin(y, S.transform(EinOp.identity,[[d],[d]],[]),xs)
                                        end),
             (*   (BV.zero,               fn (y, [sv], []) =>
                                          assign(y, Op.Zero(shapeVarToTensor sv), [])),*)
                (BV.subscript,          fn (y, [tv, dv], xs) =>
                                          assign(y,
                                            Op.SeqSub(DstTy.SeqTy(pruneTy tv, pruneDim(MV.toDim dv))),
                                            xs))
(*,
                  (BV.dynSubscript,     fn (y, [tv], args) =>
                                          assign(y, Op.SeqSub(DstTy.DynSeqTy(pruneTy tv)), args))
*)
                ];
          (* add C math functions *)
            List.app (fn (n, x) => insert(x, basisFn n)) BV.mathFns;
            tbl
          end

    fun translate (y, f, mvs, xs) = (case VTbl.find tbl f
           of SOME transFn => transFn(y, mvs, xs)
            | NONE => raise Fail("TranslateBasis.translate: unknown basis function " ^ Var.uniqueNameOf f)
          (* end case *))
handle ex => (print(concat["translate (", IL.Var.toString y, ", ",
Var.uniqueNameOf f, ", ...)\n"]); raise ex)

  end

root@smlnj-gforge.cs.uchicago.edu
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