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View of /branches/ein16/src/compiler/high-il/normalize-ein.sml

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Revision 3440 - (download) (annotate)
Mon Nov 16 19:16:54 2015 UTC (3 years, 9 months ago) by cchiw
Original Path: branches/charisee_dev/src/compiler/high-il/normalize-ein.sml
File size: 12340 byte(s)
added trig
structure NormalizeEin = struct

    local

    structure E = Ein
    structure P=Printer
    structure F=Filter
    structure G=EpsHelpers
    structure Eq=EqualEin
    structure R=RationalEin

    in

    val testing=0
    fun err str=raise Fail (String.concat["Ill-formed EIN Operator",str])
    fun mkProd e= F.mkProd e
    fun filterSca e=F.filterSca e
    fun mkAdd e=F.mkAdd e
    fun filterGreek e=F.filterGreek e
    fun mkapply e= derivativeEin.mkapply e
    fun testp n=(case testing
        of 0=> 1
        | _ =>(print(String.concat n);1)
        (*end case*))


    (*mkSum:sum_indexid list * ein_exp->int *ein_exp
    *distribute summation expression 
    *)
    fun mkSum(c1,b)=(case b
        of E.Lift e         => (1,E.Lift(E.Sum(c1,e)))
        | E.Tensor(_,[])    => (1,b)
        | E.Const _         => (1,b)
        | E.ConstR _        => (1,b)
        | E.Prod p          => filterSca(c1,p)
        | _                 => (0,E.Sum(c1,b))
        (*end case*))


    (*mkprobe:ein_exp* ein_exp-> int ein_exp
    *rewritten probe
    *)
    fun mkprobe(b,x)=let
        val (c,rtn)=(case b
            of E.Lift e1            => (1,e1)
            | E.Sqrt e1             => (1,E.Sqrt(E.Probe(e1,x)))
            | E.Trig(t,e1)          => (1,E.Trig(t,E.Probe(e1,x)))
            | E.PowInt(e1,n1)       => (1,E.PowInt(E.Probe(e1,x),n1))
            | E.PowReal(e1,n1)      => (1,E.PowReal(E.Probe(e1,x),n1))
            | E.PowEmb(a,b,c)       => (1,Ein.PowEmb(E.Probe(a,x),b,c))
            | E.Prod []             => err("Probe of empty product")
            | E.Prod p              => (1,E.Prod (List.map (fn(a)=>E.Probe(a,x)) p))
            | E.Apply _             => (0,E.Probe(b,x))
            | E.Conv _              => (0,E.Probe(b,x))
            | E.Field _             => (0,E.Probe(b,x))
            | E.Sum(c,e1)           => (1,E.Sum(c,E.Probe(e1,x)))
            | E.Add e               => (1,E.Add (List.map (fn(a)=>E.Probe(a,x)) e))
            | E.Sub (a,b)           => (1,E.Sub(E.Probe(a,x),E.Probe(b,x)))
            | E.Neg e1              => (1,E.Neg(E.Probe(e1,x)))
            | E.Div (a,b)           => (1,E.Div(E.Probe(a,x),E.Probe(b,x)))
            | E.Exp e1              => (1,E.Exp(E.Probe(e1,x)))
            | E.Const _             => (1,b)
            | E.ConstR _            => (1,b)
            | E.Tensor _            => err("Tensor without Lift")
            | E.Delta _             => (0,b)
            | E.Epsilon _           => (0,b)
            | E.Eps2 _              => (0,b)
            | E.Partial _           => err("Probe Partial")
            | E.Probe _             => err("Probe of a Probe")
            | E.Krn _               => err("Krn used before expand")
            | E.Value _             => err("Value used before expand")
            | E.Img _               => err("Probe used before expand")
            (*end case*))
        in
            (c,rtn)
        end

    (* normalize: EIN->EIN
    * rewrite body of EIN
    * note "c" keeps track if ein_exp is changed 
    *)
    fun normalize (ee as Ein.EIN{params, index, body},args) = let
      val changed = ref false
      fun rewriteBody body =(case body
        of E.Const _                            => body
        | E.ConstR _                            => body
        | E.Tensor _                            => body
        | E.Field _                             => body
        | E.Delta _                             => body
        | E.Epsilon _                           => body
        | E.Eps2 _                              => body
        | E.Conv _                              => body
        | E.Partial _                           => body
        | E.Krn _                               => raise Fail"Krn before Expand"
        | E.Img _                               => raise Fail"Img before Expand"
        | E.Value _                             => raise Fail"Value before Expand"
        | E.Lift e                              => E.Lift(rewriteBody e)
        | E.Sqrt e                              => E.Sqrt(rewriteBody e)
        | E.Trig(t1,e1)                         => E.Trig(t1,rewriteBody e1)
        | E.PowInt(e,n1)                        => E.PowInt(rewriteBody e,n1)
        | E.PowReal(e,n1)                       => E.PowReal(rewriteBody e,n1)
        | E.PowEmb(e1,sx,n1)                    => E.PowEmb(rewriteBody e1,sx,n1)
        | E.Exp e1                              => E.Exp(rewriteBody e1)
            (*************Algebraic Rewrites **************)
        | E.Neg(E.Neg e)                        => rewriteBody e
        | E.Neg(E.Const 0)                      => (changed:=true;E.Const 0)
        | E.Neg e                               => E.Neg(rewriteBody e)
        | E.Add es          => let
            val (change,body')= mkAdd(List.map rewriteBody es)
            in if (change=1) then ( changed:=true;body') else body' end
        | E.Sub (E.Const 0,b)                   => (changed:=true;E.Neg(rewriteBody b))
        | E.Sub (a,E.Const 0)                   => (changed:=true;rewriteBody a)
        | E.Sub (a,b)                           => E.Sub(rewriteBody a, rewriteBody b)
        | E.Div(E.Const 0,e)                    => (changed:=true;E.Const 0)
        | E.Div(E.Div(a,b),E.Div(c,d))          => rewriteBody(E.Div(E.Prod[a,d],E.Prod[b,c]))
        | E.Div(E.Div(a,b),c)                   => rewriteBody (E.Div(a, E.Prod[b,c]))
        | E.Div(a,E.Div(b,c))                   => rewriteBody (E.Div(E.Prod[a,c],b))
        | E.Div (a, b)                          => (E.Div(rewriteBody a, rewriteBody b))
            (**************Apply, Sum, Probe**************)
        | E.Apply(E.Partial [],e)   => e
        | E.Apply(E.Partial d1, e1) =>
            let
            val e2 = rewriteBody e1
            val (c,e3)=mkapply(E.Partial d1,e2)
            in
                (case c of 1=>(changed:=true;e3)| _ =>e3 (*end case*))
            end
        | E.Apply _                             => raise Fail" Not well-formed Apply expression"
        | E.Sum([],e)                           => (changed:=true;rewriteBody e)
        | E.Sum(c,e)                            => let
            val (c,e')=mkSum(c,rewriteBody e)
            in
                (case c of 0 => e'|_ => (changed:=true;e'))
            end
        | E.Probe(u,v)              =>
            let
            val (c',b')=mkprobe(rewriteBody u,rewriteBody v)
            in (case c'
                of 1=> (changed:=true;b')
                |_=> b'
                (*end case*))
            end
        (*************Product**************)
        | E.Prod []                                 => raise Fail"missing elements in product"
        | E.Prod [e1]                               => rewriteBody e1
        | E.Prod[(e1 as E.Sqrt(s1)),(e2 as E.Sqrt(s2))]=>
            if(Eq.isBodyEq(s1,s2)) then (changed :=true;s1)
            else let
                val a=rewriteBody e1
                val b=rewriteBody e2
                val  (_,d)=mkProd ([a,b])
                in d 
                end
   
        (*************Product EPS **************)

        | E.Prod(E.Epsilon(i,j,k)::E.Apply(E.Partial d,e)::es)=>let
            val change= G.matchEps(0,d,[],[i,j,k])
            in case (change,es)
                of (1,_) =>(changed:=true; E.Const 0)
                | (_,[]) =>E.Prod[E.Epsilon(i,j,k),rewriteBody (E.Apply(E.Partial d,e))]
                |(_,_)=> let
                    val a=rewriteBody(E.Prod([E.Apply(E.Partial d,e)]@ es))
                    val (_,b)=mkProd [E.Epsilon(i,j,k),a]
                    in b end
            end
(*
        | E.Prod(E.Epsilon(i,j,k)::E.Conv(V1,[a1], h1, d1)::E.Conv(V,alpha, h, d)::es)=>let
            val change= G.matchEps(0,alpha@d,[],[i,j,k])
            in case (change,es)
                of (1,_) =>(changed:=true; E.Lift(E.Const 0))
                | (_,[]) =>E.Prod[E.Epsilon(i,j,k),E.Conv(V1,[a1], h1, d1),E.Conv(V,alpha, h, d)]
                | (_,_) =>let
                    val a=rewriteBody(E.Prod([E.Conv(V1,[a1], h1, d1),E.Conv(V,alpha, h, d)]@ es))
                    val (_,b) = mkProd [E.Epsilon(i,j,k),a]
                    in b end
            end
*)
        | E.Prod(E.Epsilon(i,j,k)::E.Conv(V,alpha, h, d)::es)=>let
            val change= G.matchEps(0,d,[],[i,j,k])
            in case (change,es)
                of (1,_) =>(changed:=true; E.Lift(E.Const 0))
                | (_,[]) =>E.Prod[E.Epsilon(i,j,k),E.Conv(V,alpha, h, d)]
                | (_,_) =>let
                    val a=rewriteBody(E.Prod([E.Conv(V,alpha, h, d)]@ es))
                    val (_,b) = mkProd [E.Epsilon(i,j,k),a]
                    in b end
            end
        | E.Prod[(E.Epsilon(e1,e2,e3)), E.Tensor(_,[E.V i1,E.V i2])]=>
            if(e2=i1 andalso e3=i2)
            then (changed :=true;E.Const(0))
            else body
(*
        | E.Prod(E.Epsilon e1::E.Sum(c1,E.Prod(E.Sum(c2,E.Prod(E.Epsilon e2::es3))::es2))::es1) =>
            (case G.epsToDels([E.Epsilon e1, E.Epsilon e2]@es3@es2@es1)
            of (1,e,sx,_,_)=> (changed:=true; E.Sum(c1@c2@sx,e))
            | (_,_,_,_,_)=>let
                    val eA=rewriteBody(E.Epsilon e1)
                    val eB=rewriteBody(E.Prod(E.Sum(c1,E.Prod(E.Sum(c2,E.Prod(E.Epsilon e2::es3))::es2))::es1))
                    val (_,e)=mkProd([eA,eB])
                in
                    e
                end
            (*end case*))
*)
        | E.Prod(E.Epsilon eps1::ps)=> (case (G.epsToDels(E.Epsilon eps1::ps))
            of (1,e,[],_,_)      =>(changed:=true;e)(* Changed to Deltas*)
            | (1,e,sx,_,_)      =>(changed:=true;E.Sum(sx,e))
                    (* Changed to Deltas *)
            | (_,_,_,_,[])   =>  body
            | (_,_,_,epsAll,rest) => let
                val p'=rewriteBody(E.Prod rest)
                val(_,b)= mkProd(epsAll@[p'])
                in b end
            (*end case*))
        | E.Prod(E.Sum(c1,E.Prod(E.Epsilon e1::es1))::E.Sum(c2,E.Prod(E.Epsilon e2::es2))::es) =>
            (case G.epsToDels([E.Epsilon e1, E.Epsilon e2]@es1@es2@es)
                of (1,e,sx,_,_)=> (changed:=true; E.Sum(c1@c2@sx,e))
                | (_,_,_,_,_)=>let
                    val eA=rewriteBody(E.Sum(c1,E.Prod(E.Epsilon e1::es1)))
                val eB=rewriteBody(E.Prod(E.Sum(c2,E.Prod(E.Epsilon e2::es2))::es))
                val (_,e)=mkProd([eA,eB])
                in
                    e
                end
            (*end case*))
        | E.Prod[E.Delta d, E.Neg e]=> (changed:=true;E.Neg(E.Prod[E.Delta d, e]))
        | E.Prod(E.Delta d::es)=>let
            val (pre',eps, dels,post)= filterGreek(E.Delta d::es)
             val _= testp["\n\n Reduce delta--",P.printbody(body)]
            val (change,a)=G.reduceDelta(eps, dels, post)
              val _= testp["\n\n ---delta moved--",P.printbody(a)]
            in (case (change,a)
                of (0, _)=> E.Prod [E.Delta d,rewriteBody(E.Prod es)]
                | (_, E.Prod p)=>let
                    val (_, p') = mkProd p
                    in (changed:=true;p') end
                | _ => (changed:=true;a )
                (*end case*))
            end
      | E.Prod[e1,e2]=> let
            val (_,b)=mkProd[rewriteBody e1, rewriteBody e2]
            in b end
      | E.Prod(e::es)=>let
            val e'=rewriteBody e
            val e2=rewriteBody(E.Prod es)
            val(_,b)=(case e2
                of E.Prod p'=> mkProd([e']@p')
                |_=>mkProd [e',e2])
            in
                    b
           end                

    (*end case*))
    val _ =raise Fail"Dev branch do not use"

    val _=testp["\n******** Start Normalize: \n",P.printerE ee,"\n*****\n"]
    fun loop(body ,count) = let
        (*val _=raise Fail"do not use dev branch"*)
        val _= testp["\n\n N =>",Int.toString(count),"--",P.printbody(body)]
        val body' = rewriteBody body

        in
            if !changed
            then  (changed := false ;loop(body',count+1))
            else (body',count)
        end

    val (b,count) = loop(body,0)
    val _ =testp["\n Out of normalize \n",P.printbody(b),
        "\n    Final CounterXX:",Int.toString(count),"\n\n"]
    in
        (Ein.EIN{params=params, index=index, body=b},count)
    end
end
                

end (* local *)

root@smlnj-gforge.cs.uchicago.edu
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