Annotation of /trunk/src/compiler/translate/translate-basis.sml

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1 :	jhr	180	(* translate-basis.sml
2 :			*
3 :	jhr	3349	* This code is part of the Diderot Project (http://diderot-language.cs.uchicago.edu)
4 :			*
5 :			* COPYRIGHT (c) 2015 The University of Chicago
6 :	jhr	180	* All rights reserved.
7 :			*
8 :			* Translation for basis operations in Simple AST to HighIL code
9 :			*)
10 :
11 :			structure TranslateBasis : sig
12 :
13 :	jhr	189	(* translate(lhs, f, mvs, args) translates the application of f (specialized
14 :			* to the instantiated meta variables mvs) to a list of SSA assignments in
15 :			* reverse order.
16 :			*)
17 :	jhr	2476	val translate : (HighIL.var * Var.var * SimpleTypes.meta_arg list * HighIL.var list)
18 :	jhr	2356	-> HighIL.assignment list
19 :	jhr	180
20 :			end = struct
21 :
22 :	jhr	194	structure BV = BasisVars
23 :	jhr	180	structure IL = HighIL
24 :	jhr	392	structure DstTy = HighILTypes
25 :	jhr	180	structure Op = HighOps
26 :	jhr	2476	structure Ty = SimpleTypes
27 :	jhr	194	structure VTbl = Var.Tbl
28 :	jhr	180
29 :	jhr	2483	fun trType (Ty.TY ty) = TranslateTy.tr ty
30 :			| trType _ = raise Fail "expected type"
31 :	jhr	2476	fun dimVarToInt (Ty.DIM d) = d
32 :			| dimVarToInt _ = raise Fail "expected dim"
33 :	jhr	2358	fun dimVarToTensor dv = DstTy.tensorTy[dimVarToInt dv]
34 :	jhr	1116	fun dimVarToMatrix dv = let
35 :	jhr	2358	val d = dimVarToInt dv
36 :	jhr	2356	in
37 :			DstTy.tensorTy[d, d] (* square matrix type *)
38 :			end
39 :	jhr	2476	fun shapeVarToTensor (Ty.SHAPE shp) = DstTy.tensorTy shp
40 :			| shapeVarToTensor _ = raise Fail "expected shape"
41 :	jhr	197
42 :	jhr	1640	fun assign (y, rator, xs) = [IL.ASSGN(y, IL.OP(rator, xs))]
43 :	jhr	407
44 :	jhr	1640	fun basisFn name (y, [], xs) = [IL.ASSGN(y, IL.APPLY(name, xs))]
45 :	jhr	1116
46 :	jhr	407	fun simpleOp rator (y, [], xs) = assign (y, rator, xs)
47 :
48 :			fun tensorOp rator (y, [sv], xs) = assign (y, rator(shapeVarToTensor sv), xs)
49 :
50 :			fun vectorOp rator (y, [dv], xs) = assign (y, rator(dimVarToTensor dv), xs)
51 :
52 :	jhr	1116	fun kernel h (y, [], []) = assign(y, Op.Kernel(h, 0), [])
53 :	jhr	197
54 :	jhr	1640	(* utility functions for synthesizing eigenvector/eigenvalue code *)
55 :			fun eigenVec (rator, dim) = let
56 :			val ty = DstTy.SeqTy(DstTy.realTy, dim)
57 :			in
58 :			fn (y, _, [m]) => let
59 :			val v = IL.Var.new("evals", ty)
60 :			in
61 :			[IL.MASSGN([v, y], rator, [m])]
62 :			end
63 :			end
64 :			fun eigenVal (rator, dim) = let
65 :			val ty = DstTy.SeqTy(DstTy.vecTy dim, dim)
66 :			in
67 :			fn (y, _, [m]) => let
68 :			val v = IL.Var.new("evecs", ty)
69 :			in
70 :			[IL.MASSGN([y, v], rator, [m])]
71 :			end
72 :			end
73 :
74 :	jhr	184	(* build a table that maps Basis variables to their translation functions *)
75 :	jhr	2476	val tbl : ((IL.var * Ty.meta_arg list * IL.var list) -> IL.assignment list) VTbl.hash_table = let
76 :	jhr	2356	val tbl = VTbl.mkTable (128, Fail "Translate table")
77 :			val insert = VTbl.insert tbl
78 :			in
79 :			List.app insert [
80 :			(BV.lt_ii, simpleOp(Op.LT DstTy.IntTy)),
81 :			(BV.lt_rr, simpleOp(Op.LT DstTy.realTy)),
82 :			(BV.lte_ii, simpleOp(Op.LTE DstTy.IntTy)),
83 :			(BV.lte_rr, simpleOp(Op.LTE DstTy.realTy)),
84 :			(BV.gte_ii, simpleOp(Op.GTE DstTy.IntTy)),
85 :			(BV.gte_rr, simpleOp(Op.GTE(DstTy.realTy))),
86 :			(BV.gt_ii, simpleOp(Op.GT DstTy.IntTy)),
87 :			(BV.gt_rr, simpleOp(Op.GT(DstTy.realTy))),
88 :			(BV.equ_bb, simpleOp(Op.EQ DstTy.BoolTy)),
89 :			(BV.equ_ii, simpleOp(Op.EQ DstTy.IntTy)),
90 :			(BV.equ_ss, simpleOp(Op.EQ DstTy.StringTy)),
91 :			(BV.equ_rr, simpleOp(Op.EQ(DstTy.realTy))),
92 :			(BV.neq_bb, simpleOp(Op.NEQ DstTy.BoolTy)),
93 :			(BV.neq_ii, simpleOp(Op.NEQ DstTy.IntTy)),
94 :			(BV.neq_ss, simpleOp(Op.NEQ DstTy.StringTy)),
95 :			(BV.neq_rr, simpleOp(Op.NEQ(DstTy.realTy))),
96 :			(BV.add_ii, simpleOp(Op.Add DstTy.IntTy)),
97 :			(BV.add_tt, tensorOp Op.Add),
98 :			(BV.add_ff, fn (y, _, [f, g]) => assign(y, Op.AddField, [f, g])),
99 :	jhr	2358	(BV.add_fr, fn (y, _, [f, s]) => assign(y, Op.OffsetField, [f, s])),
100 :			(BV.add_rf, fn (y, _, [s, f]) => assign(y, Op.OffsetField, [f, s])),
101 :	jhr	2356	(BV.sub_ii, simpleOp(Op.Sub DstTy.IntTy)),
102 :			(BV.sub_tt, tensorOp Op.Sub),
103 :			(BV.sub_ff, fn (y, _, [f, g]) => assign(y, Op.SubField, [f, g])),
104 :	jhr	2358	(BV.sub_fr, fn (y, _, [f, s]) => let
105 :			val s' = IL.Var.copy s
106 :			in [
107 :			IL.ASSGN(s', IL.OP(Op.Neg DstTy.realTy, [s])),
108 :			IL.ASSGN(y, IL.OP(Op.OffsetField, [f, s']))
109 :			] end),
110 :			(BV.sub_rf, fn (y, _, [s, f]) => let
111 :			val f' = IL.Var.copy f
112 :			in [
113 :			IL.ASSGN(f', IL.OP(Op.NegField, [f])),
114 :			IL.ASSGN(y, IL.OP(Op.OffsetField, [f', s]))
115 :			] end),
116 :	jhr	2356	(BV.mul_ii, simpleOp(Op.Mul DstTy.IntTy)),
117 :			(BV.mul_rr, simpleOp(Op.Mul(DstTy.realTy))),
118 :			(BV.mul_rt, tensorOp Op.Scale),
119 :			(BV.mul_tr, fn (y, sv, [t, r]) => tensorOp Op.Scale (y, sv, [r, t])),
120 :			(BV.mul_rf, fn (y, _, [s, f]) => assign(y, Op.ScaleField, [s, f])),
121 :			(BV.mul_fr, fn (y, _, [f, s]) => assign(y, Op.ScaleField, [s, f])),
122 :			(BV.div_ii, simpleOp(Op.Div DstTy.IntTy)),
123 :			(BV.div_rr, simpleOp(Op.Div DstTy.realTy)),
124 :			(BV.div_tr, fn (y, [sv], [x, s]) => let
125 :			val one = IL.Var.new("one", DstTy.realTy)
126 :			val s' = IL.Var.new("sInv", DstTy.realTy)
127 :			in [
128 :			IL.ASSGN(one, IL.LIT(Literal.Float(FloatLit.one))),
129 :			IL.ASSGN(s', IL.OP(Op.Div DstTy.realTy, [one, s])),
130 :			IL.ASSGN(y, IL.OP(Op.Scale(shapeVarToTensor sv), [s', x]))
131 :			] end),
132 :			(BV.div_fr, fn (y, _, [f, s]) => let
133 :			val one = IL.Var.new("one", DstTy.realTy)
134 :			val s' = IL.Var.new("sInv", DstTy.realTy)
135 :			in [
136 :			IL.ASSGN(one, IL.LIT(Literal.Float(FloatLit.one))),
137 :			IL.ASSGN(s', IL.OP(Op.Div DstTy.realTy, [one, s])),
138 :			IL.ASSGN(y, IL.OP(Op.ScaleField, [s', f]))
139 :			] end),
140 :			(BV.exp_ri, simpleOp(Op.Power)),
141 :			(BV.exp_rr, basisFn MathFuns.pow),
142 :	jhr	2358	(BV.curl2D, fn (y, _, xs) => assign(y, Op.CurlField 2, xs)),
143 :			(BV.curl3D, fn (y, _, xs) => assign(y, Op.CurlField 3, xs)),
144 :	jhr	2476	(BV.convolve_vk, fn (y, [_, Ty.DIM d, _], xs) => assign(y, Op.Field d, xs)),
145 :			(BV.convolve_kv, fn (y, [_, Ty.DIM d, _], [k, v]) => assign(y, Op.Field d, [v, k])),
146 :	jhr	2356	(BV.neg_i, simpleOp(Op.Neg DstTy.IntTy)),
147 :			(BV.neg_t, tensorOp Op.Neg),
148 :			(BV.neg_f, fn (y, _, xs) => assign(y, Op.NegField, xs)),
149 :			(BV.op_probe, fn (y, [_, dv, sv], xs) =>
150 :			assign(y, Op.Probe(dimVarToTensor dv, shapeVarToTensor sv), xs)),
151 :			(BV.op_D, fn (y, _, xs) => assign(y, Op.DiffField, xs)),
152 :			(BV.op_Dotimes, fn (y, _, xs) => assign(y, Op.DiffField, xs)),
153 :			(BV.op_norm, fn (y, [sv], xs) => (case shapeVarToTensor sv
154 :			of DstTy.TensorTy[] => assign(y, Op.Abs DstTy.realTy, xs)
155 :			| ty => assign(y, Op.Norm ty, xs)
156 :			(* end case *))),
157 :			(BV.op_not, simpleOp Op.Not),
158 :			(BV.op_cross, simpleOp Op.Cross),
159 :	jhr	2476	(BV.op_outer, fn (y, [Ty.DIM d1, Ty.DIM d2], xs) =>
160 :	jhr	2480	assign (y, Op.Outer(DstTy.tensorTy[d1, d2]), xs)),
161 :	jhr	2476	(BV.op_inner, fn (y, [Ty.SHAPE dd1, Ty.SHAPE dd2, _], xs) => let
162 :			val ty1 = DstTy.TensorTy dd1
163 :			val ty2 = DstTy.TensorTy dd2
164 :	jhr	2356	val rator = (case (dd1, dd2)
165 :			of ([d], [d']) => Op.Dot ty1
166 :			| ([d1], [d1', d2]) => Op.MulVecMat ty2
167 :			| ([d1, d2], [d2']) => Op.MulMatVec ty1
168 :			| ([d1, d2], [d2', d3]) => Op.MulMatMat(ty1, ty2)
169 :	jhr	2358	| ([d1], [d1', d2, d3]) => Op.MulVecTen3 ty2
170 :			| ([d1, d2, d3], [d3']) => Op.MulTen3Vec ty1
171 :			| _ => raise Fail(concat[
172 :			"unsupported inner-product: ",
173 :			DstTy.toString ty1, " * ", DstTy.toString ty2
174 :			])
175 :	jhr	2356	(* end case *))
176 :			in
177 :			assign (y, rator, xs)
178 :			end),
179 :	jhr	2358	(BV.op_colon, fn (y, [sh1, sh2, _], xs) => let
180 :	jhr	2476	val ty1 = shapeVarToTensor sh1
181 :			val ty2 = shapeVarToTensor sh2
182 :	jhr	2358	in
183 :			assign (y, Op.ColonMul(ty1, ty2), xs)
184 :			end),
185 :	jhr	2476	(BV.fn_inside, fn (y, [_, Ty.DIM d, _], xs) =>
186 :			assign(y, Op.Inside d, xs)),
187 :	jhr	2356	(BV.clamp_rrr, simpleOp (Op.Clamp DstTy.realTy)),
188 :			(BV.clamp_vvv, vectorOp Op.Clamp),
189 :			(BV.lerp3, tensorOp Op.Lerp),
190 :			(BV.lerp5, fn (y, [sv], [a, b, x0, x, x1]) => let
191 :			val t1 = IL.Var.new("t1", DstTy.realTy)
192 :			val t2 = IL.Var.new("t2", DstTy.realTy)
193 :			val t3 = IL.Var.new("t3", DstTy.realTy)
194 :			in [
195 :			IL.ASSGN(t1, IL.OP(Op.Sub DstTy.realTy, [x, x0])),
196 :			IL.ASSGN(t2, IL.OP(Op.Sub DstTy.realTy, [x1, x0])),
197 :			IL.ASSGN(t3, IL.OP(Op.Div DstTy.realTy, [t1, t2])),
198 :			IL.ASSGN(y, IL.OP(Op.Lerp(shapeVarToTensor sv), [a, b, t3]))
199 :			] end),
200 :			(BV.evals2x2, eigenVal (Op.Eigen2x2, 2)),
201 :			(BV.evals3x3, eigenVal (Op.Eigen3x3, 3)),
202 :			(BV.evecs2x2, eigenVec (Op.Eigen2x2, 2)),
203 :			(BV.evecs3x3, eigenVec (Op.Eigen3x3, 3)),
204 :			(BV.fn_max, simpleOp Op.Max),
205 :			(BV.fn_min, simpleOp Op.Min),
206 :			(BV.fn_modulate, vectorOp Op.Mul),
207 :			(BV.fn_normalize, vectorOp Op.Normalize),
208 :			(BV.fn_principleEvec, vectorOp Op.PrincipleEvec),
209 :			(BV.fn_trace, fn (y, [dv], xs) => assign(y, Op.Trace(dimVarToMatrix dv), xs)),
210 :	jhr	2480	(BV.fn_transpose, fn (y, [Ty.DIM d1, Ty.DIM d2], xs) =>
211 :			assign(y, Op.Transpose(d1, d2), xs)),
212 :	jhr	2356	(BV.kn_bspln3, kernel Kernel.bspln3),
213 :			(BV.kn_bspln5, kernel Kernel.bspln5),
214 :			(BV.kn_ctmr, kernel Kernel.ctmr),
215 :			(BV.kn_c2ctmr, kernel Kernel.ctmr),
216 :	jhr	2358	(BV.kn_c4hexic, kernel Kernel.c4hexic),
217 :	jhr	2356	(BV.kn_tent, kernel Kernel.tent),
218 :			(BV.kn_c1tent, kernel Kernel.tent),
219 :			(BV.i2r, simpleOp Op.IntToReal),
220 :	jhr	2476	(BV.identity, fn (y, [Ty.DIM d], []) =>
221 :			assign(y, Op.Identity d, [])),
222 :	jhr	2356	(BV.zero, fn (y, [sv], []) =>
223 :			assign(y, Op.Zero(shapeVarToTensor sv), [])),
224 :	jhr	2483	(BV.subscript, fn (y, [tv, Ty.DIM d], args) =>
225 :	jhr	1640	assign(y,
226 :	jhr	2483	Op.SeqSub(DstTy.SeqTy(trType tv, d)),
227 :	jhr	1640	args))
228 :	jhr	2356	];
229 :			(* add C math functions *)
230 :			List.app (fn (n, x) => insert(x, basisFn n)) BV.mathFns;
231 :			tbl
232 :			end
233 :	jhr	180
234 :	jhr	194	fun translate (y, f, mvs, xs) = (case VTbl.find tbl f
235 :	jhr	2356	of SOME transFn => transFn(y, mvs, xs)
236 :			| NONE => raise Fail("TranslateBasis.translate: unknown basis function " ^ Var.uniqueNameOf f)
237 :			(* end case *))
238 :	jhr	1116	handle ex => (print(concat["translate (", IL.Var.toString y, ", ",
239 :			Var.uniqueNameOf f, ", ...)\n"]); raise ex)
240 :	jhr	180
241 :			end

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