10 |
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11 |
val env : Env.env |
val env : Env.env |
12 |
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13 |
end = struct |
(* find an operator by name; this returns a singleton list for regular operators (including |
14 |
local |
* type-index operators) and a list of variables for overloaded operators. |
15 |
structure N = BasisNames |
*) |
16 |
structure Ty = Types |
val findOp : Atom.atom -> AST.var list |
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structure MV = MetaVar |
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fun --> (tys1, ty) = Ty.T_Fun(tys1, [ty]) |
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infix --> |
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val N2 = Ty.DimConst 2 |
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val N3 = Ty.DimConst 3 |
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(* short names for kinds *) |
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val TK : unit -> Ty.meta_var = Ty.TYPE o MV.newTyVar |
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val DK : unit -> Ty.meta_var = Ty.DIFF o MV.newDiffVar |
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val SK : unit -> Ty.meta_var = Ty.SHAPE o MV.newShapeVar |
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val NK : unit -> Ty.meta_var = Ty.DIM o MV.newDimVar |
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fun ty t = ([], t) |
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fun all (kinds, mkTy) = let |
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val tvs = List.map (fn mk => mk()) kinds |
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in |
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(tvs, mkTy tvs) |
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end |
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fun allNK mkTy = let |
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val tv = MV.newDimVar() |
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in |
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([Ty.DIM tv], mkTy tv) |
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end |
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fun field (k, d, dd) = Ty.T_Field{diff=k, dim=d, shape=dd} |
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fun tensor ds = Ty.T_Tensor(Ty.Shape ds) |
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17 |
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18 |
in |
end = struct |
19 |
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20 |
(* overloaded operators *) |
structure N = BasisNames |
21 |
val overloads = [ |
structure BV = BasisVars |
22 |
(* |
structure ATbl = AtomTable |
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val op_add = Atom.atom "+" |
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val op_sub = Atom.atom "-" |
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val op_mul = Atom.atom "*" |
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val op_div = Atom.atom "/" |
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val op_lt = Atom.atom "<" |
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val op_lte = Atom.atom "<=" |
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val op_eql = Atom.atom "==" |
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val op_neq = Atom.atom "!=" |
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val op_gte = Atom.atom ">=" |
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val op_gt = Atom.atom ">" |
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*) |
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] |
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23 |
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24 |
(* non-overloaded operators, etc. *) |
(* non-overloaded operators, etc. *) |
25 |
val basis = [ |
val basis = [ |
26 |
(* operators *) |
(* non-overloaded operators *) |
27 |
(N.op_at, all([DK, NK, SK], |
BV.op_at, |
28 |
fn [Ty.DIFF k, Ty.DIM d, Ty.SHAPE dd] => let |
BV.op_D, |
29 |
val k = Ty.DiffVar(k, 0) |
BV.op_norm, |
30 |
val d = Ty.DimVar d |
BV.op_not, |
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val dd = Ty.ShapeVar dd |
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in |
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[field(k, d, dd), tensor[d]] --> Ty.T_Tensor dd |
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end)), |
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(N.op_D, all([DK, NK, SK], |
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fn [Ty.DIFF k, Ty.DIM d, Ty.SHAPE dd] => let |
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val k0 = Ty.DiffVar(k, 0) |
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val km1 = Ty.DiffVar(k, ~1) |
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val d = Ty.DimVar d |
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val dd = Ty.ShapeVar dd |
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in |
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[field(k0, d, dd), tensor[d]] |
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--> field(km1, d, Ty.ShapeExt(dd, d)) |
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end)), |
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(N.op_norm, all([SK], |
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fn [Ty.SHAPE dd] => [Ty.T_Tensor(Ty.ShapeVar dd)] --> Ty.realTy)), |
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31 |
(* functions *) |
(* functions *) |
32 |
(N.fn_CL, ty([tensor[N3, N3]] --> Ty.vec3Ty)), |
BV.fn_CL, |
33 |
(N.fn_convolve, all([DK, NK, SK], |
BV.fn_convolve, |
34 |
fn [Ty.DIFF k, Ty.DIM d, Ty.SHAPE dd] => let |
BV.fn_cos, |
35 |
val k = Ty.DiffVar(k, 0) |
BV.fn_dot, |
36 |
val d = Ty.DimVar d |
BV.fn_inside, |
37 |
val dd = Ty.ShapeVar dd |
BV.fn_load, |
38 |
in |
BV.fn_pow, |
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[Ty.T_Kernel k, Ty.T_Image{dim=d, shape=dd}] |
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--> field(k, d, dd) |
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end)), |
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(N.fn_cos, ty([Ty.realTy] --> Ty.realTy)), |
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(N.fn_dot, allNK(fn tv => [tensor[Ty.DimVar tv]] |
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--> tensor[Ty.DimVar tv])), |
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(N.fn_inside, all([DK, NK, SK], |
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fn [Ty.DIFF k, Ty.DIM d, Ty.SHAPE dd] => let |
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val k = Ty.DiffVar(k, 0) |
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val d = Ty.DimVar d |
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val dd = Ty.ShapeVar dd |
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in |
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[Ty.T_Tensor(Ty.Shape[d]), field(k, d, dd)] |
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--> Ty.T_Bool |
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end)), |
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(N.fn_load, all([NK, SK], |
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fn [Ty.DIM d, Ty.SHAPE dd] => let |
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val d = Ty.DimVar d |
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val dd = Ty.ShapeVar dd |
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in |
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[Ty.T_String] --> Ty.T_Image{dim=d, shape=dd} |
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end)), |
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(N.fn_pow, ty([Ty.realTy, Ty.realTy] --> Ty.realTy)), |
|
39 |
(* |
(* |
40 |
val fn_principleEvec = Atom.atom "principleEvec" |
val fn_principleEvec = Atom.atom "principleEvec" |
41 |
*) |
*) |
42 |
(N.fn_sin, ty([Ty.realTy] --> Ty.realTy)), |
BV.fn_sin, |
43 |
(* kernels *) |
(* kernels *) |
44 |
(N.kn_bspln3, ty(Ty.T_Kernel(Ty.DiffConst 2))), |
BV.kn_bspln3, |
45 |
(N.kn_tent, ty(Ty.T_Kernel(Ty.DiffConst 0))) |
BV.kn_tent |
46 |
] |
] |
47 |
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|
48 |
(* seed the basis environment *) |
(* seed the basis environment *) |
49 |
val env = let |
val env = let |
50 |
fun ins ((name, ty), env) = let |
fun ins (x, env) = Env.insertGlobal(env, Atom.atom(Var.nameOf x), x) |
|
val x = Var.newPoly (name, AST.BasisVar, ty) |
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in |
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Env.insertGlobal (env, name, x) |
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end |
|
51 |
in |
in |
52 |
List.foldl ins (Env.new()) basis |
List.foldl ins (Env.new()) basis |
53 |
end |
end |
54 |
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|
55 |
|
(* overloaded operators *) |
56 |
|
val overloads = [ |
57 |
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(N.op_add, [BV.add_ii, BV.add_tt]), |
58 |
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(N.op_sub, [BV.sub_ii, BV.sub_tt]), |
59 |
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(N.op_mul, [BV.mul_ii, BV.mul_rr, BV.mul_rt, BV.mul_tr]), |
60 |
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(N.op_div, [BV.div_ii, BV.div_rr, BV.div_tr]), |
61 |
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(N.op_lt, [BV.lt_ii, BV.lt_rr]), |
62 |
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(N.op_lte, [BV.lte_ii, BV.lte_rr]), |
63 |
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(N.op_equ, [BV.equ_bb, BV.equ_ii, BV.equ_ss, BV.equ_rr]), |
64 |
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(N.op_neq, [BV.neq_bb, BV.neq_ii, BV.neq_ss, BV.neq_rr]), |
65 |
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(N.op_gte, [BV.gte_ii, BV.gte_rr]), |
66 |
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(N.op_gt, [BV.gt_ii, BV.gt_rr]), |
67 |
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(N.op_neg, [BV.neg_i, BV.neg_t, BV.neg_f]) |
68 |
|
] |
69 |
|
|
70 |
|
local |
71 |
|
val lookup = let |
72 |
|
val tbl = ATbl.mkTable(64, Fail "op table") |
73 |
|
in |
74 |
|
List.app (ATbl.insert tbl) overloads; |
75 |
|
ATbl.lookup tbl |
76 |
|
end |
77 |
|
in |
78 |
|
fun findOp name = (case Env.findVar(env, name) |
79 |
|
of SOME x => [x] |
80 |
|
| NONE => lookup name |
81 |
|
(* end case *)) |
82 |
end (* local *) |
end (* local *) |
83 |
|
|
84 |
end |
end |