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(* translate-basis.sml |
(* translate-basis.sml |
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* |
* |
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* COPYRIGHT (c) 2010 The Diderot Project (http://diderot.cs.uchicago.edu) |
* COPYRIGHT (c) 2010 The Diderot Project (http://diderot-language.cs.uchicago.edu) |
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* All rights reserved. |
* All rights reserved. |
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* |
* |
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* Translation for basis operations in Simple AST to HighIL code |
* Translation for basis operations in Simple AST to HighIL code |
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* reverse order. |
* reverse order. |
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*) |
*) |
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val translate : (HighIL.var * Var.var * Types.meta_var list * HighIL.var list) |
val translate : (HighIL.var * Var.var * Types.meta_var list * HighIL.var list) |
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-> HighIL.assign list |
-> HighIL.assignment list |
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end = struct |
end = struct |
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structure MV = MetaVar |
structure MV = MetaVar |
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structure VTbl = Var.Tbl |
structure VTbl = Var.Tbl |
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structure EinOp= Operators |
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structure S=Specialize |
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fun pruneTy tv = (case TU.prune(MV.toType tv) |
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of (ty as Ty.T_Var _) => raise Fail("unresolved type " ^ TU.toString ty) |
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| ty => TranslateTy.tr ty |
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(* end case *)) |
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fun pruneDim d = (case TU.pruneDim d |
fun pruneDim d = (case TU.pruneDim d |
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of (Ty.DimConst n) => n |
of (Ty.DimConst n) => n |
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| d => raise Fail("unresolved dimension " ^ TU.dimToString d) |
| d => raise Fail("unresolved dimension " ^ TU.dimToString d) |
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(* end case *)) |
(* end case *)) |
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fun pruneShape sv = (case TU.pruneShape(MV.toShape sv) |
fun pruneShape sv = (case TU.pruneShape(MV.toShape sv) |
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of Ty.Shape dd => DstTy.TensorTy(List.map pruneDim dd) |
of Ty.Shape dd => DstTy.tensorTy(List.map pruneDim dd) |
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| shp => raise Fail("unresolved shape " ^ TU.shapeToString shp) |
| shp => raise Fail("unresolved shape " ^ TU.shapeToString shp) |
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(* end case *)) |
(* end case *)) |
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fun dimVarToTensor dv = DstTy.TensorTy[pruneDim(MV.toDim dv)] |
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fun shapeVarToTensor sv = pruneShape sv |
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fun assign (y, rator, xs) = [(y, IL.OP(rator, xs))] |
fun dimVarToInt dv = pruneDim(MV.toDim dv) |
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fun dimVarToTensor dv = DstTy.tensorTy[dimVarToInt dv] |
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fun dimVarToMatrix dv = let |
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val d = dimVarToInt dv |
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in |
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DstTy.tensorTy[d, d] (* square matrix type *) |
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end |
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fun assign (y, rator, xs) = [IL.ASSGN(y, IL.OP(rator, xs))] |
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fun basisFn name (y, [], xs) = [IL.ASSGN(y, IL.APPLY(name, xs))] |
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fun simpleOp rator (y, [], xs) = assign (y, rator, xs) |
fun simpleOp rator (y, [], xs) = assign (y, rator, xs) |
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fun shapeVarToTensor sv = pruneShape sv |
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fun tensorOp rator (y, [sv], xs) = assign (y, rator(shapeVarToTensor sv), xs) |
fun tensorOp rator (y, [sv], xs) = assign (y, rator(shapeVarToTensor sv), xs) |
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fun vectorOp rator (y, [dv], xs) = assign (y, rator(dimVarToTensor dv), xs) |
fun vectorOp rator (y, [dv], xs) = assign (y, rator(dimVarToTensor dv), xs) |
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fun kernel h (y, [], []) = assign(y, Op.Kernel h, []) |
fun kernel h (y, [], []) = assign(y, Op.Kernel(h, 0), []) |
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(* utility functions for synthesizing eigenvector/eigenvalue code *) |
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fun eigenVec (rator, dim) = let |
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val ty = DstTy.SeqTy(DstTy.realTy, dim) |
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in |
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fn (y, _, [m]) => let |
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val v = IL.Var.new("evals", ty) |
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in |
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[IL.MASSGN([v, y], rator, [m])] |
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end |
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end |
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fun eigenVal (rator, dim) = let |
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val ty = DstTy.SeqTy(DstTy.vecTy dim, dim) |
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in |
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fn (y, _, [m]) => let |
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val v = IL.Var.new("evecs", ty) |
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in |
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[IL.MASSGN([y, v], rator, [m])] |
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end |
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end |
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fun assignEin (y, rator, xs) = [IL.ASSGN(y, IL.EINAPP(rator, xs))] |
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fun simpleEinOp rator (y, _,xs) = assignEin(y, rator, xs) |
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fun peelFieldSK SK=[2] (*(case TU.pruneShape(MV.toShape SK) |
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of Ty.Shape dd => List.map pruneDim dd |
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| shp => raise Fail("unresolved shape " ^ TU.shapeToString shp) |
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(* end case *))*) |
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fun tensorEinOp einop (y, [SK], xs) = |
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let val ty1 as DstTy.TensorTy dd1 = pruneShape SK |
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val rator =S.transform(einop,[dd1],[]) |
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in |
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assignEin(y, rator,xs) |
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end |
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fun scalarField(einop,paramarg,y,xs)= |
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let val paramarg'=List.map dimVarToInt paramarg(*[2]*) |
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val rator=S.transform(einop, [[]],paramarg') |
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in |
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assignEin(y, rator, xs) |
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end |
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fun singleField(SK,einop,paramarg, y, xs)= |
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let |
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val s=peelFieldSK SK |
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val paramarg'= List.map dimVarToInt paramarg (*[2]*) |
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val rator= S.transform(einop, [s],paramarg') |
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in assignEin(y, rator, xs) |
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end |
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(****MV.toDim returns int, and DstTy.TensorTy returns intlist *) |
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(*DK- SK-shape,NK-dim *) |
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(* shape is an int list, DIM is in int|variable, k-level of differntiation *) |
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(* build a table that maps Basis variables to their translation functions *) |
(* build a table that maps Basis variables to their translation functions *) |
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val tbl : ((IL.var * Ty.meta_var list * IL.var list) -> IL.assign list) VTbl.hash_table = let |
val tbl : ((IL.var * Ty.meta_var list * IL.var list) -> IL.assignment list) VTbl.hash_table = let |
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val tbl = VTbl.mkTable (128, Fail "Translate table") |
val tbl = VTbl.mkTable (128, Fail "Translate table") |
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val insert = VTbl.insert tbl |
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in |
in |
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List.app (VTbl.insert tbl) [ |
List.app insert [ |
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(BV.add_ii, simpleOp(Op.Add DstTy.IntTy)), |
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(BV.add_tt, tensorOp Op.Add), |
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(BV.sub_ii, simpleOp(Op.Sub DstTy.IntTy)), |
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(BV.sub_tt, tensorOp Op.Sub), |
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(BV.mul_ii, simpleOp(Op.Mul DstTy.IntTy)), |
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(BV.mul_rr, simpleOp(Op.Mul(DstTy.TensorTy[]))), |
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(BV.mul_rt, tensorOp Op.Scale), |
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(BV.mul_tr, fn (y, sv, [t, r]) => tensorOp Op.Scale (y, sv, [r, t])), |
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(BV.div_ii, simpleOp(Op.Div DstTy.IntTy)), |
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(BV.div_rr, simpleOp(Op.Div(DstTy.TensorTy[]))), |
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(BV.div_tr, tensorOp Op.InvScale), |
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(BV.lt_ii, simpleOp(Op.LT DstTy.IntTy)), |
(BV.lt_ii, simpleOp(Op.LT DstTy.IntTy)), |
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(BV.lt_rr, simpleOp(Op.LT(DstTy.TensorTy[]))), |
(BV.lt_rr, simpleOp(Op.LT DstTy.realTy)), |
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(BV.lte_ii, simpleOp(Op.LTE DstTy.IntTy)), |
(BV.lte_ii, simpleOp(Op.LTE DstTy.IntTy)), |
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(BV.lte_rr, simpleOp(Op.LTE(DstTy.TensorTy[]))), |
(BV.lte_rr, simpleOp(Op.LTE DstTy.realTy)), |
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(BV.gte_ii, simpleOp(Op.GTE DstTy.IntTy)), |
(BV.gte_ii, simpleOp(Op.GTE DstTy.IntTy)), |
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(BV.gte_rr, simpleOp(Op.GTE(DstTy.TensorTy[]))), |
(BV.gte_rr, simpleOp(Op.GTE(DstTy.realTy))), |
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(BV.gt_ii, simpleOp(Op.GT DstTy.IntTy)), |
(BV.gt_ii, simpleOp(Op.GT DstTy.IntTy)), |
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(BV.gt_rr, simpleOp(Op.GT(DstTy.TensorTy[]))), |
(BV.gt_rr, simpleOp(Op.GT(DstTy.realTy))), |
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(BV.equ_bb, simpleOp(Op.EQ DstTy.BoolTy)), |
(BV.equ_bb, simpleOp(Op.EQ DstTy.BoolTy)), |
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(BV.equ_ii, simpleOp(Op.EQ DstTy.IntTy)), |
(BV.equ_ii, simpleOp(Op.EQ DstTy.IntTy)), |
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(BV.equ_ss, simpleOp(Op.EQ DstTy.StringTy)), |
(BV.equ_ss, simpleOp(Op.EQ DstTy.StringTy)), |
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(BV.equ_rr, simpleOp(Op.EQ(DstTy.TensorTy[]))), |
(BV.equ_rr, simpleOp(Op.EQ(DstTy.realTy))), |
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(BV.neq_bb, simpleOp(Op.NEQ DstTy.BoolTy)), |
(BV.neq_bb, simpleOp(Op.NEQ DstTy.BoolTy)), |
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(BV.neq_ii, simpleOp(Op.NEQ DstTy.IntTy)), |
(BV.neq_ii, simpleOp(Op.NEQ DstTy.IntTy)), |
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(BV.neq_ss, simpleOp(Op.NEQ DstTy.StringTy)), |
(BV.neq_ss, simpleOp(Op.NEQ DstTy.StringTy)), |
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(BV.neq_rr, simpleOp(Op.NEQ(DstTy.TensorTy[]))), |
(BV.neq_rr, simpleOp(Op.NEQ(DstTy.realTy))), |
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(BV.neg_i, simpleOp(Op.Neg DstTy.IntTy)), |
(BV.add_ii, simpleOp Op.IAdd ), |
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(BV.neg_t, tensorOp Op.Neg), |
(BV.add_tt, tensorEinOp EinOp.addTensor), |
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(BV.neg_f, fn (y, _, xs) => assign(y, Op.NegField, xs)), |
(BV.add_ff, fn (y, [_,NK,SK], xs)=> singleField(SK,EinOp.addField, [NK,NK], y, xs)), |
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(BV.op_at, fn (y, [_, dv, sv], xs) => |
(BV.add_fr, fn (y, [_,NK], xs)=> scalarField(EinOp.addTenField,[NK],y, xs)), |
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assign(y, Op.Probe(shapeVarToTensor sv, dimVarToTensor dv), xs)), |
(BV.add_rf, fn (y, [_,NK], [s, f])=>scalarField(EinOp.addTenField,[NK],y,[f,s])), |
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(BV.op_convolve, fn (y, _, xs) => assign(y, Op.Convolve, xs)), |
(BV.sub_ii, simpleOp Op.ISub ), |
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(BV.op_D, fn (y, _, xs) => assign(y, Op.DiffField, xs)), |
(BV.sub_tt, tensorEinOp EinOp.subTensor), |
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(BV.op_norm, tensorOp Op.Norm), |
(BV.sub_ff, fn (y, [_,NK,SK], xs)=>singleField(SK,EinOp.subField, [NK,NK],y,xs)), |
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(BV.sub_fr, fn (y, [_,NK], xs) => scalarField(EinOp.subField,[NK], y,xs)), |
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(BV.sub_rf, fn (y, [_,NK], [s, f]) => scalarField(EinOp.subField,[NK], y,[f, s])), |
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(* CHANEG create negative subtraction*) |
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(BV.mul_ii, simpleOp Op.IMul), |
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(BV.mul_rr, simpleOp Op.IMul), |
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(BV.mul_rt, tensorEinOp EinOp.scaleTensor), |
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(BV.mul_tr, fn (y, [SK], [t, r])=>let |
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val ty1 as DstTy.TensorTy dd1 = pruneShape SK |
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val rator =S.transform(EinOp.scaleTensor,[dd1],[]) |
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in |
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assignEin(y, rator,[r,t]) |
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end), |
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(BV.mul_rf, fn (y,[_,NK,SK], xs)=> singleField(SK,EinOp.scaleField,[NK],y, xs)), |
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(BV.mul_fr, fn (y, [_,NK,SK], [f, s])=> singleField(SK,EinOp.scaleField, [NK],y,[s,f])), |
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(BV.div_ii, simpleOp Op.IDiv), |
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(BV.div_rr, simpleOp Op.IDiv), |
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(BV.div_tr, tensorEinOp EinOp.divideTensor), |
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(BV.div_fr, fn (y, [_,NK,SK], xs) =>singleField(SK,EinOp.divideField, [NK],y, xs)), |
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(BV.exp_ri, simpleOp(Op.Power)), |
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(BV.exp_rr, basisFn MathFuns.pow), |
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(BV.curl2D, simpleEinOp EinOp.Curl2d), |
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(BV.curl3D, simpleEinOp EinOp.Curl3d), |
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(BV.convolve_vk, fn (y, [_, NK, SK], xs) => singleField(SK,EinOp.conv, [NK],y,xs)), |
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(BV.convolve_kv, fn (y, [_, NK, SK], [k, v]) =>singleField(SK,EinOp.conv, [NK],y,[v,k])), |
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(BV.neg_i, simpleOp Op.INeg), |
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(BV.neg_t, tensorEinOp EinOp.negTensor), |
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(BV.neg_f, fn (y, [_,NK,SK], xs) => singleField(SK,EinOp.negField, [NK],y,xs)), |
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(BV.op_probe, fn (y, [_, NK, SK], xs) => |
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let |
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val dv=dimVarToTensor NK (*Field*) |
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val sv=shapeVarToTensor SK (*Position*) |
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val dv'=peelFieldSK dv |
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val sv'=peelFieldSK sv |
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val einop= S.transform(EinOp.probe,[sv',dv'],[2]) |
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in assignEin(y, einop,xs) |
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end), |
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(BV.op_D, fn (y, [_, NK], xs) => scalarField(EinOp.Grad,[NK], y,xs)), |
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(BV.op_Dotimes, fn (y, [_, NK, SK, NK2], xs) => singleField(SK,EinOp.Divergence,[NK], y,xs)), |
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(BV.op_norm, fn (y, [sv], xs) => (case shapeVarToTensor sv |
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of DstTy.TensorTy[] => assign(y, Op.Abs DstTy.realTy, xs) |
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| ty => assign(y, Op.Norm ty, xs) |
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(* end case *))), |
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(BV.op_not, simpleOp Op.Not), |
(BV.op_not, simpleOp Op.Not), |
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(BV.fn_CL, fn (y, _, xs) => assign(y, Op.CL, xs)), |
(BV.op_cross, simpleEinOp EinOp.crossProduct), |
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(BV.fn_convolve, fn (y, _, [h, img]) => assign(y, Op.Convolve, [img, h])), |
(BV.op_outer, fn (y, [dv1, dv2], xs) => let |
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(BV.fn_cos, simpleOp Op.Cos), |
val d1 = [pruneDim(MV.toDim dv1)] |
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(BV.fn_dot, vectorOp Op.Dot), |
val d2 = [pruneDim(MV.toDim dv2)] |
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in |
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assignEin( y, S.transform(EinOp.outerProduct,[d1,d2],[]),xs) |
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end), |
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(BV.op_inner, fn (y, [sh1, sh2, _], xs) => |
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let |
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val ty1 as DstTy.TensorTy dd1 = pruneShape sh1 |
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val ty2 as DstTy.TensorTy dd2 = pruneShape sh2 |
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val alpha= List.take(dd1, length(dd1)-1) |
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val beta= tl(dd2) |
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val i =hd(dd2) |
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val ilist= [alpha, beta, [i]] |
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in |
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assignEin(y, S.transform(EinOp.innerProduct, ilist,[]),xs) |
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end), |
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(BV.op_colon, fn (y, [sh1, sh2, _], xs) => |
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let |
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val ty1 as DstTy.TensorTy dd1 = pruneShape sh1 |
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val ty2 as DstTy.TensorTy dd2 = pruneShape sh2 |
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val m= List.take(dd2,2) |
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val i=hd(m) |
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val j=tl(m) |
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val alpha= List.take(dd1, length(dd1)-2) |
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val beta=tl(tl(dd2)) |
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val ilist=[alpha, beta, [i], j] |
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in |
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assignEin(y, S.transform(EinOp.doubleDot, ilist,[]),xs) |
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end), |
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(BV.fn_inside, fn (y, [_, dv, _], xs) => |
(BV.fn_inside, fn (y, [_, dv, _], xs) => |
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assign(y, Op.Inside(dimVarToTensor dv), xs)), |
assign(y, Op.Inside(pruneDim(MV.toDim dv)), xs)), |
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(BV.clamp_rrr, simpleOp (Op.Clamp DstTy.realTy)), |
| 265 |
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(BV.clamp_vvv, vectorOp Op.Clamp), |
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(BV.lerp3, tensorOp Op.Lerp), |
| 267 |
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(BV.lerp5, fn (y, [sv], [a, b, x0, x, x1]) => let |
| 268 |
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val t1 = IL.Var.new("t1", DstTy.realTy) |
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val t2 = IL.Var.new("t2", DstTy.realTy) |
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val t3 = IL.Var.new("t3", DstTy.realTy) |
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in [ |
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IL.ASSGN(t1, IL.OP(Op.ISub, [x, x0])), |
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IL.ASSGN(t2, IL.OP(Op.ISub, [x1, x0])), |
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IL.ASSGN(t3, IL.OP(Op.IDiv, [t1, t2])), |
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IL.ASSGN(y, IL.OP(Op.Lerp(shapeVarToTensor sv), [a, b, t3])) |
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] end), |
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(BV.evals2x2, eigenVal (Op.Eigen2x2, 2)), |
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(BV.evals3x3, eigenVal (Op.Eigen3x3, 3)), |
| 279 |
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(BV.evecs2x2, eigenVec (Op.Eigen2x2, 2)), |
| 280 |
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(BV.evecs3x3, eigenVec (Op.Eigen3x3, 3)), |
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(BV.fn_max, simpleOp Op.Max), |
(BV.fn_max, simpleOp Op.Max), |
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(BV.fn_min, simpleOp Op.Min), |
(BV.fn_min, simpleOp Op.Min), |
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(BV.fn_modulate, vectorOp Op.Mul), |
(BV.fn_modulate, fn (y, _, xs) => assign (y, Op.IMul, xs)), |
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(BV.fn_pow, simpleOp Op.Pow), |
(BV.fn_normalize, vectorOp Op.Normalize), |
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(BV.fn_principleEvec, vectorOp Op.PrincipleEvec), |
(BV.fn_principleEvec, vectorOp Op.PrincipleEvec), |
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(BV.fn_sin, simpleOp Op.Sin), |
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(BV.fn_trace, fn (y, [dv], xs) =>let |
| 288 |
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val d=dimVarToInt dv |
| 289 |
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in |
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assignEin(y,S.transform(EinOp.trace, [[d]],[]),xs) |
| 291 |
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end), |
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(BV.fn_transpose, fn (y, [dv1, dv2], xs) => |
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let |
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val d1=dimVarToInt dv1 |
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val d2=dimVarToInt dv2 |
| 297 |
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in |
| 298 |
|
assignEin(y,S.transform(EinOp.transpose, [[d1],[d2]],[]),xs) |
| 299 |
|
end), |
| 300 |
|
|
| 301 |
(BV.kn_bspln3, kernel Kernel.bspln3), |
(BV.kn_bspln3, kernel Kernel.bspln3), |
| 302 |
(BV.kn_bspln5, kernel Kernel.bspln5), |
(BV.kn_bspln5, kernel Kernel.bspln5), |
| 303 |
(BV.kn_ctmr, kernel Kernel.ctmr), |
(BV.kn_ctmr, kernel Kernel.ctmr), |
| 304 |
|
(BV.kn_c2ctmr, kernel Kernel.ctmr), |
| 305 |
|
(BV.kn_c4hexic, kernel Kernel.c4hexic), |
| 306 |
(BV.kn_tent, kernel Kernel.tent), |
(BV.kn_tent, kernel Kernel.tent), |
| 307 |
(BV.i2r, simpleOp Op.IntToReal) |
(BV.kn_c1tent, kernel Kernel.tent), |
| 308 |
|
(BV.i2r, simpleOp Op.IntToReal), |
| 309 |
|
|
| 310 |
|
(BV.identity, fn (y, [dv], xs) =>let |
| 311 |
|
val d=dimVarToInt dv |
| 312 |
|
in assignEin(y, S.transform(EinOp.identity,[[d],[d]],[]),xs) |
| 313 |
|
end), |
| 314 |
|
|
| 315 |
|
(* (BV.zero, fn (y, [sv], []) => |
| 316 |
|
assign(y, Op.Zero(shapeVarToTensor sv), [])),*) |
| 317 |
|
(BV.subscript, fn (y, [tv, dv], xs) => |
| 318 |
|
assign(y, |
| 319 |
|
Op.SeqSub(DstTy.SeqTy(pruneTy tv, pruneDim(MV.toDim dv))), |
| 320 |
|
xs)) |
| 321 |
|
|
| 322 |
|
|
| 323 |
|
(*, |
| 324 |
|
|
| 325 |
|
(BV.dynSubscript, fn (y, [tv], args) => |
| 326 |
|
assign(y, Op.SeqSub(DstTy.DynSeqTy(pruneTy tv)), args))*) |
| 327 |
]; |
]; |
| 328 |
|
|
| 329 |
|
(* add C math functions *) |
| 330 |
|
List.app (fn (n, x) => insert(x, basisFn n)) BV.mathFns; |
| 331 |
tbl |
tbl |
| 332 |
end |
end |
| 333 |
|
|
| 335 |
of SOME transFn => transFn(y, mvs, xs) |
of SOME transFn => transFn(y, mvs, xs) |
| 336 |
| NONE => raise Fail("TranslateBasis.translate: unknown basis function " ^ Var.uniqueNameOf f) |
| NONE => raise Fail("TranslateBasis.translate: unknown basis function " ^ Var.uniqueNameOf f) |
| 337 |
(* end case *)) |
(* end case *)) |
| 338 |
|
handle ex => (print(concat["translate (", IL.Var.toString y, ", ", |
| 339 |
|
Var.uniqueNameOf f, ", ...)\n"]); raise ex) |
| 340 |
|
|
| 341 |
end |
end |
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