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Revision 3943 - (download) (annotate)
Wed Jun 8 22:55:08 2016 UTC (3 years, 1 month ago) by jhr
File size: 4773 byte(s)
working on merge
(* ein-to-scalar.sml
 *
 * Generate LowIR scalar computations that implement Ein expressions.
 *
 * This code is part of the Diderot Project (http://diderot-language.cs.uchicago.edu)
 *
 * COPYRIGHT (c) 2016 The University of Chicago
 * All rights reserved.
 *)

structure EinToScalar : sig

  (* expand a scalar-valued Ein operator application to LowIR code; return the LowIR
   * vaiable that holds the result of the application (the assignments will be added
   * to avail).
   *)
    val expand : {
	    avail : AvailRHS.t,			(* the generated LowIR assignments *)
	    mapp : int IntRedBlackMap.map,	(* mapping from deBruijn indices to argument IDs *)
	    body : Ein.ein_exp,			(* the EIN operator body *)
	    lowArgs : LowIR.var list		(* corresponding LowIR arguments *)
	  } -> LowIR.var

  end = struct

    structure IR = LowIR
    structure Ty = LowTypes
    structure Op = LowOps
    structure Var = LowIR.Var
    structure E = Ein
    structure Mk = MkLowIR
    structure IMap = IntRedBlackMap

    fun mapIndex (mapp, id) = (case IMap.find(mapp, id)
	   of SOME x => x
	    | NONE => raise Fail(concat["mapIndex(_, V ", Int.toString id, "): out of bounds"])
	  (* end case *))

    fun expand {avail, mapp, body, lowArgs} = let
	  fun gen (mapp, body) = let
	      (*********sumexpression ********)
		fun tb n =  List.tabulate (n, fn e => e)
		fun sumCheck (mapp, (E.V v, lb, ub) :: sumx, e) = let
		      fun sumloop mapp = gen (mapp, e)
		      fun sumI1 (left, (v, [i], lb1), [], rest) = let
			    val mapp = IMap.insert (left, v, lb1+i)
			    val vD = gen (mapp, e)
			    in
			      rest@[vD]
			    end
		        | sumI1 (left, (v, i::es, lb1), [], rest) = let
			    val mapp = IMap.insert (left, v, i+lb1)
			    val vD = gen (mapp, e)
			    in
			      sumI1 (mapp, (v, es, lb1), [], rest@[vD])
			    end
		        | sumI1 (left, (v, [i], lb1), (E.V a, lb2, ub2) ::sx, rest) =
			    sumI1 (IMap.insert (left, v, lb1+i), (a, tb (ub2-lb2+1), lb2), sx, rest)
		        | sumI1 (left, (v, s::es, lb1), (E.V a, lb2, ub2) ::sx, rest) = let
			    val mapp = IMap.insert (left, v, s+lb1)
			    val xx = tb (ub2-lb2+1)
			    val rest' = sumI1 (mapp, (a, xx, lb2), sx, rest)
			    in
			      sumI1 (mapp, (v, es, lb1), (E.V a, lb2, ub2) ::sx, rest')
			    end
		        | sumI1 _ = raise Fail "None Variable-index in summation"
		      in
                        sumI1 (mapp, (v, tb (ub-lb+1), lb), sumx, [])
		      end
		in
		  case body
		   of E.Value v => Mk.intToRealLit (avail, mapIndex (mapp, v))
		    | E.Const c => Mk.intToRealLit (avail, c)
		    | E.Delta(i, j) => Mk.delta (avail, mapp, i, j)
		    | E.Epsilon(i, j, k) => Mk.epsilon3 (avail, mapp, i, j, k)
		    | E.Eps2(i, j) => Mk.epsilon2 (avail, mapp, i, j)
		    | E.Tensor(id, ix) => Mk.tensorIndex (avail, mapp, List.nth(lowArgs, id), ix)
		    | E.Op1(op1, e1) => let
			val arg = gen (mapp, e1)
			in
			  case op1
			   of E.Neg => Mk.realNeg (avail, arg)
			    | E.Sqrt => Mk.realSqrt (avail, arg)
			    | E.Cosine => Mk.realCos (avail, arg)
			    | E.ArcCosine => Mk.realArcCos (avail, arg)
			    | E.Sine => Mk.realSin (avail, arg)
			    | E.ArcSine => Mk.realArcSin (avail, arg)
			    | E.Tangent => Mk.realTan (avail, arg)
			    | E.ArcTangent => Mk.realArcTan (avail, arg)
			    | _ => raise Fail "FIXME: unimplemented Op1 operator"
(*
			    | E.Exp
			    | E.PowInt of int
			    | E.PowReal of Rational.t
			    | E.PowEmb of sumrange list * int
*)
			  (* end case *)
			end
		    | E.Op2(E.Sub, e1, e2) => Mk.realSub (avail, gen (mapp, e1), gen (mapp, e2))
		    | E.Opn(E.Add, es) =>
			Mk.reduce (avail, Mk.realAdd, List.map (fn e => gen(mapp, e)) es)
		    | E.Opn(E.Prod, es) =>
			Mk.reduce (avail, Mk.realMul, List.map (fn e => gen(mapp, e)) es)
		    | E.Op2(E.Div, e1 as E.Tensor (_, [_]), e2 as E.Tensor (_, [])) =>
			gen (mapp, E.Opn(E.Prod, [E.Op2 (E.Div, E.Const 1, e2), e1]))
		    | E.Op2(E.Div, e1, e2) => Mk.realDiv (avail, gen (mapp, e1), gen (mapp, e2))
		    | E.Sum(sx, E.Opn(E.Prod, (img as E.Img _) :: (kargs as (E.Krn _ :: _)))) =>
			FieldToLow.expand {
			    avail = avail, mapp = mapp,
			    sx = sx, img = img, krnargs = kargs,
			    args = lowArgs
			  }
		    | E.Sum(sumx, e) =>
			Mk.reduce (avail, Mk.realAdd, sumCheck (mapp, sumx, e))
(* FIXME: need to add normalize *)
		    | E.Probe(E.Epsilon e1, e2) => gen(mapp,E.Epsilon e1)
		    | E.Probe(E.Eps2 e1, e2) => gen(mapp,E.Eps2 e1)
		    | E.Probe(E.Const e1, e2) => gen(mapp, E.Const e1)
		    | E.Probe(E.Delta e1, e2) => gen(mapp, E.Delta e1)
		    | E.Probe e => raise Fail("probe ein-exp: " ^ EinPP.expToString body)
		    | _ => raise Fail("unsupported ein-exp: " ^ EinPP.expToString body)
		  (*end case*)
		end
	  in
	    gen (mapp, body)
	  end

    end

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