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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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* to the instantiated meta variables mvs) to a list of SSA assignments in |
* to the instantiated meta variables mvs) to a list of SSA assignments in |
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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 * SimpleTypes.meta_arg 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 BV = BasisVars |
structure BV = BasisVars |
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structure IL = HighIL |
structure IL = HighIL |
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structure DstTy = HighILTypes |
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structure Op = HighOps |
structure Op = HighOps |
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structure Ty = Types |
structure Ty = SimpleTypes |
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structure TU = TypeUtil |
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structure MV = MetaVar |
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structure VTbl = Var.Tbl |
structure VTbl = Var.Tbl |
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fun assign (y, rator, xs) = [(y, IL.OP(rator, xs))] |
structure mk= mkOperators |
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fun trType (Ty.TY ty) = TranslateTy.tr ty |
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| trType _ = raise Fail "expected type" |
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fun dimVarToInt (Ty.DIM d) = d |
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| dimVarToInt _ = raise Fail "expected dim" |
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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 shapeVarToTensor (Ty.SHAPE shp) = DstTy.tensorTy shp |
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| shapeVarToTensor _ = raise Fail "expected shape" |
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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 pruneDim d = (case TU.pruneDim d |
fun tensorOp rator (y, [sv], xs) = assign (y, rator(shapeVarToTensor sv), xs) |
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of (Ty.DimConst n) => n |
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| d => raise Fail("unresolved dimension " ^ TU.dimToString d) |
fun vectorOp rator (y, [dv], xs) = assign (y, rator(dimVarToTensor dv), xs) |
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(* end case *)) |
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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 simpleEOp rator (y, _,xs) = [assignEin(y, rator, xs)] |
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fun tensorOp rator (y, [sv], xs) = (case TU.pruneShape(MV.toShape sv) |
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of Ty.Shape dd => |
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assign (y, rator(Op.TensorTy(List.map pruneDim dd)), xs) |
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| shp => raise Fail("unresolved shape " ^ TU.shapeToString shp) |
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(* end case *)) |
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fun vectorOp rator (y, [dv], xs) = |
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assign (y, rator(Op.TensorTy[pruneDim(MV.toDim dv)]), xs) |
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fun kernel h (y, [], []) = assign(y, Op.Kernel h, []) |
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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_arg 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 |
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List.app insert [ |
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(BV.lt_ii, simpleOp(Op.LT DstTy.IntTy)), |
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(BV.lt_rr, simpleOp(Op.LT DstTy.realTy)), |
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(BV.lte_ii, simpleOp(Op.LTE DstTy.IntTy)), |
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(BV.lte_rr, simpleOp(Op.LTE DstTy.realTy)), |
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(BV.gte_ii, simpleOp(Op.GTE DstTy.IntTy)), |
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(BV.gte_rr, simpleOp(Op.GTE(DstTy.realTy))), |
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(BV.gt_ii, simpleOp(Op.GT DstTy.IntTy)), |
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(BV.gt_rr, simpleOp(Op.GT(DstTy.realTy))), |
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(BV.equ_bb, simpleOp(Op.EQ DstTy.BoolTy)), |
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(BV.equ_ii, simpleOp(Op.EQ DstTy.IntTy)), |
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(BV.equ_ss, simpleOp(Op.EQ DstTy.StringTy)), |
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(BV.equ_rr, simpleOp(Op.EQ(DstTy.realTy))), |
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(BV.neq_bb, simpleOp(Op.NEQ DstTy.BoolTy)), |
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(BV.neq_ii, simpleOp(Op.NEQ DstTy.IntTy)), |
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(BV.neq_ss, simpleOp(Op.NEQ DstTy.StringTy)), |
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(BV.neq_rr, simpleOp(Op.NEQ(DstTy.realTy))), |
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(BV.add_ii, simpleOp Op.IAdd), |
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(BV.add_tt, fn (y, [shp], xs) => let |
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val ty1 as DstTy.TensorTy dd1 = shapeVarToTensor shp |
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val rator =mk.addTen(dd1) |
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in |
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[assignEin(y, rator,xs)] |
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end), |
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(BV.add_ff, fn (y, [_,Ty.DIM d, Ty.SHAPE dd], xs) => |
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[assignEin(y, mk.addField(d, dd),xs)]), |
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(BV.add_fr, fn (y, [_,Ty.DIM d], [f,s]) => |
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[assignEin(y, mk.addTenField(d),[s,f])]), |
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(BV.add_rf, fn (y, [_,Ty.DIM d], xs) => |
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[assignEin(y, mk.addTenField(d),xs)]), |
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(BV.sub_ii, simpleOp Op.ISub), |
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(BV.sub_tt, fn (y, [shp], xs) => let |
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val ty1 as DstTy.TensorTy dd1 = shapeVarToTensor shp |
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val rator =mk.subTen(dd1) |
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in |
in |
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List.app (VTbl.insert tbl) [ |
[assignEin(y, rator,xs)] |
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(BV.add_ii, simpleOp(Op.Add Op.IntTy)), |
end), |
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(BV.add_tt, tensorOp Op.Add), |
(BV.sub_ff, fn (y, [_,Ty.DIM d, Ty.SHAPE dd], xs) => |
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(BV.sub_ii, simpleOp(Op.Sub Op.IntTy)), |
[assignEin(y, mk.subField(d, dd),xs)]), |
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(BV.sub_tt, tensorOp Op.Sub), |
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(BV.mul_ii, simpleOp(Op.Mul Op.IntTy)), |
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(BV.mul_rr, simpleOp(Op.Mul(Op.TensorTy[]))), |
(BV.sub_fr, fn (y, [_,Ty.DIM d], xs) => |
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(BV.mul_rt, tensorOp Op.Scale), |
[assignEin(y, mk.subFieldTen(d),xs)]), |
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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 Op.IntTy)), |
(BV.sub_rf, fn (y, [_,Ty.DIM d], xs) => |
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(BV.div_rr, simpleOp(Op.Div(Op.TensorTy[]))), |
[assignEin(y, mk.subTenField(d),xs)]), |
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(BV.div_tr, tensorOp Op.InvScale), |
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(BV.lt_ii, simpleOp(Op.LT Op.IntTy)), |
(BV.mul_ii, simpleOp Op.IMul), |
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(BV.lt_rr, simpleOp(Op.LT(Op.TensorTy[]))), |
(BV.mul_rr, fn (y,_,args) => [assignEin(y, mk.prodScalar,args)]), |
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(BV.lte_ii, simpleOp(Op.LTE Op.IntTy)), |
(BV.mul_rt, fn (y, [shp], xs) => let |
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(BV.lte_rr, simpleOp(Op.LTE(Op.TensorTy[]))), |
val ty1 as DstTy.TensorTy dd1 = shapeVarToTensor shp |
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(BV.gte_ii, simpleOp(Op.GTE Op.IntTy)), |
val rator =mk.scaleTen(dd1) |
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(BV.gte_rr, simpleOp(Op.GTE(Op.TensorTy[]))), |
in |
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(BV.gt_ii, simpleOp(Op.GT Op.IntTy)), |
[assignEin(y, rator,xs)] |
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(BV.gt_rr, simpleOp(Op.GT(Op.TensorTy[]))), |
end), |
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(BV.equ_bb, simpleOp(Op.EQ Op.BoolTy)), |
(BV.mul_tr, fn (y, [shp], [t, r]) => let |
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(BV.equ_ii, simpleOp(Op.EQ Op.IntTy)), |
val ty1 as DstTy.TensorTy dd1 = shapeVarToTensor shp |
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(BV.equ_ss, simpleOp(Op.EQ Op.StringTy)), |
val rator = mk.scaleTen dd1 |
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(BV.equ_rr, simpleOp(Op.EQ(Op.TensorTy[]))), |
in |
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(BV.neq_bb, simpleOp(Op.NEQ Op.BoolTy)), |
[assignEin(y, rator,[r,t])] |
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(BV.neq_ii, simpleOp(Op.NEQ Op.IntTy)), |
end), |
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(BV.neq_ss, simpleOp(Op.NEQ Op.StringTy)), |
(BV.mul_rf, fn (y, [_,Ty.DIM d, Ty.SHAPE dd], xs) => |
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(BV.neq_rr, simpleOp(Op.NEQ(Op.TensorTy[]))), |
[assignEin(y, mk.scaleField(d, dd),xs)]), |
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(BV.neg_i, simpleOp(Op.Neg Op.IntTy)), |
(BV.mul_fr, fn (y, [_,Ty.DIM d, Ty.SHAPE dd], [f, s]) => |
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(BV.neg_t, tensorOp Op.Neg), |
[assignEin(y, mk.scaleField(d, dd),[s,f])]), |
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(BV.neg_f, fn (y, _, xs) => assign(y, Op.NegField, xs)), |
(BV.div_ii, simpleOp Op.IDiv), |
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(BV.op_at, fn (y, _, xs) => assign(y, Op.Probe, xs)), |
(BV.div_rr, fn (y,_,args) => [assignEin(y, mk.divScalar,args)]), |
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(BV.op_convolve, fn (y, _, xs) => assign(y, Op.Convolve, xs)), |
(BV.div_tr, fn (y, [shp], xs) => let |
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(BV.op_D, fn (y, _, xs) => assign(y, Op.DiffField, xs)), |
val ty1 as DstTy.TensorTy dd1 = shapeVarToTensor shp |
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(BV.op_norm, tensorOp Op.Norm), |
val rator =mk.divTen(dd1) |
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in |
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[assignEin(y, rator,xs)] |
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end), |
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(BV.div_fr, fn (y, [_,Ty.DIM d, Ty.SHAPE dd], xs) => |
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[assignEin(y, mk.divideField(d, dd),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, simpleEOp mk.curl2d), |
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(BV.curl3D, simpleEOp mk.curl3d), |
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(BV.convolve_vk, fn (y, [_, Ty.DIM d, Ty.SHAPE dd], xs) => |
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[assignEin(y, mk.conv(d, dd),xs)]), |
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(BV.convolve_kv, fn (y, [_, Ty.DIM d, Ty.SHAPE dd], [k, v]) => |
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[assignEin(y, mk.conv(d, dd),[v,k])]), |
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(BV.neg_i, simpleOp Op.INeg), |
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(BV.neg_t, fn (y, [shp], xs) => let |
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val ty1 as DstTy.TensorTy dd1 = shapeVarToTensor shp |
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val rator =mk.negTen(dd1) |
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in |
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[assignEin(y, rator,xs)] |
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end), |
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(BV.neg_f, fn (y, [_,Ty.DIM d, Ty.SHAPE dd], xs) => |
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[assignEin(y, mk.negField(d, dd),xs)]), |
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(BV.op_probe, fn (y, [_, Ty.DIM d, Ty.SHAPE dd], xs) => |
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[assignEin(y, (mk.probe(dd,d,[d])),xs)]), |
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(BV.op_D, fn (y, [_, Ty.DIM d], xs) => [assignEin(y, mk.grad([d]),xs)]), |
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(BV.op_Dotimes, fn (y, [_, Ty.DIM d1, Ty.SHAPE dd, Ty.DIM d2], xs) => |
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[assignEin(y, mk.divergence(d1, dd),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.op_cross, simpleEOp mk.crossProduct), |
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(BV.op_subscript, fn (y, [SK, NK], xs) => ??), (*FIXME*) |
(BV.op_outer, fn (y, [Ty.DIM d1, Ty.DIM d2], xs) => |
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*) |
[assignEin(y, (mk.outerProduct(d1, d2)), xs)]), |
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(BV.fn_CL, fn (y, _, xs) => assign(y, Op.CL, xs)), |
(BV.op_inner, fn (y, [sh1, sh2, _], xs) => let |
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(BV.fn_convolve, fn (y, _, [h, img]) => assign(y, Op.Convolve, [img, h])), |
val ty1 as DstTy.TensorTy dd1 = shapeVarToTensor sh1 |
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(BV.fn_cos, simpleOp Op.Cos), |
val ty2 as DstTy.TensorTy dd2 = shapeVarToTensor sh2 |
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(BV.fn_dot, vectorOp Op.Dot), |
in |
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(BV.fn_inside, fn (y, _, xs) => assign(y, Op.Inside, xs)), |
[assignEin(y, (mk.innerProduct(dd1,dd2)),xs)] |
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(* |
end), |
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(BV.fn_load, fn (y, [NK, SK], xs) => ??), (*FIXME*) |
(BV.op_colon, fn (y, [sh1, sh2, _], xs) => let |
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*) |
val ty1 as DstTy.TensorTy dd1 = shapeVarToTensor sh1 |
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(BV.fn_max, simpleOp Op.Min), |
val ty2 as DstTy.TensorTy dd2 = shapeVarToTensor sh2 |
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(BV.fn_min, simpleOp Op.Max), |
in |
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(BV.fn_modulate, vectorOp Op.Mul), |
[assignEin(y, (mk.doubleDot(dd1,dd2)),xs)] |
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(BV.fn_pow, simpleOp Op.Pow), |
end), |
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(BV.fn_inside, fn (y, [_, Ty.DIM d, _], xs) => assign(y, Op.Inside d, xs)), |
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(BV.clamp_rrr, simpleOp (Op.Clamp DstTy.realTy)), |
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(BV.clamp_vvv, vectorOp Op.Clamp), |
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(BV.lerp3, tensorOp Op.Lerp), |
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(BV.lerp5, fn (y, [sv], [a, b, x0, x, x1]) => let |
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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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assignEin(t1, mk.subScalar,[x,x0]), |
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assignEin(t2, mk.subScalar,[x1,x0]), |
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assignEin(t3, mk.divScalar,[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)), |
| 225 |
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(BV.evals3x3, eigenVal (Op.Eigen3x3, 3)), |
| 226 |
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(BV.evecs2x2, eigenVec (Op.Eigen2x2, 2)), |
| 227 |
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(BV.evecs3x3, eigenVec (Op.Eigen3x3, 3)), |
| 228 |
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(BV.fn_max, simpleOp Op.Max), |
| 229 |
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(BV.fn_min, simpleOp Op.Min), |
| 230 |
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|
| 231 |
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(* modulate is vector * vector pointwise multiplication *) |
| 232 |
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(BV.fn_modulate, fn (y,[Ty.DIM dd1], xs) => |
| 233 |
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[assignEin(y, (mk.modulate dd1),xs)]), |
| 234 |
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(BV.fn_normalize, vectorOp Op.Normalize), |
| 235 |
(BV.fn_principleEvec, vectorOp Op.PrincipleEvec), |
(BV.fn_principleEvec, vectorOp Op.PrincipleEvec), |
| 236 |
(BV.fn_sin, simpleOp Op.Sin), |
(BV.fn_trace, fn (y, [Ty.DIM d], xs) => |
| 237 |
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[assignEin(y,(mk.trace d), xs)]), |
| 238 |
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(BV.fn_transpose, fn (y, [Ty.DIM d1, Ty.DIM d2], xs) => |
| 239 |
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[assignEin(y, (mk.transpose [d1,d2]), xs)]), |
| 240 |
(BV.kn_bspln3, kernel Kernel.bspln3), |
(BV.kn_bspln3, kernel Kernel.bspln3), |
| 241 |
(BV.kn_bspln5, kernel Kernel.bspln5), |
(BV.kn_bspln5, kernel Kernel.bspln5), |
| 242 |
(BV.kn_ctmr, kernel Kernel.ctmr), |
(BV.kn_ctmr, kernel Kernel.ctmr), |
| 243 |
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(BV.kn_c2ctmr, kernel Kernel.ctmr), |
| 244 |
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(BV.kn_c4hexic, kernel Kernel.c4hexic), |
| 245 |
(BV.kn_tent, kernel Kernel.tent), |
(BV.kn_tent, kernel Kernel.tent), |
| 246 |
(BV.i2r, simpleOp Op.IntToReal)(*, |
(BV.kn_c1tent, kernel Kernel.tent), |
| 247 |
(BV.input, fn (y, [TK], xs) => ??), (*FIXME*) |
(BV.i2r, simpleOp Op.IntToReal), |
| 248 |
(BV.optInput, fn (y, [TK], xs) => ??) (*FIXME*) |
(BV.identity, fn (y, [Ty.DIM d], xs) => |
| 249 |
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[assignEin(y, (mk.identity [d,d]), xs)]), |
| 250 |
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(* (BV.zero, fn (y, [sv], []) => |
| 251 |
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assign(y, Op.Zero(shapeVarToTensor sv), [])),*) |
| 252 |
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(BV.subscript, fn (y, [ty, Ty.DIM d], xs) => |
| 253 |
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assign (y, Op.SeqSub(DstTy.SeqTy(trType ty, d)), xs)) |
| 254 |
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(*, |
| 255 |
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(BV.dynSubscript, fn (y, [tv], args) => |
| 256 |
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assign(y, Op.SeqSub(DstTy.DynSeqTy(pruneTy tv)), args)) |
| 257 |
*) |
*) |
| 258 |
]; |
]; |
| 259 |
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(* add C math functions *) |
| 260 |
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List.app (fn (n, x) => insert(x, basisFn n)) BV.mathFns; |
| 261 |
tbl |
tbl |
| 262 |
end |
end |
| 263 |
|
|
| 264 |
fun translate (y, f, mvs, xs) = (case VTbl.find tbl f |
fun translate (y, f, mvs, xs) = (case VTbl.find tbl f |
| 265 |
of SOME transFn => transFn(y, mvs, xs) |
of SOME transFn => transFn(y, mvs, xs) |
| 266 |
| NONE => raise Fail("TranslateBasis.translate: unknown function " ^ Var.uniqueNameOf f) |
| NONE => raise Fail("TranslateBasis.translate: unknown basis function " ^ Var.uniqueNameOf f) |
| 267 |
(* end case *)) |
(* end case *)) |
| 268 |
|
handle ex => (print(concat["translate (", IL.Var.toString y, ", ", |
| 269 |
|
Var.uniqueNameOf f, ", ...)\n"]); raise ex) |
| 270 |
|
|
| 271 |
end |
end |
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