Annotation of /trunk/src/compiler/mid-il/mid-il.sml

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1 :	jhr	287	(* mid-il.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	287	* All rights reserved.
7 :			*
8 :			* Middle-level version of the Diderot IL.
9 :			*
10 :			* Note: this file is generated from gen/mid-il.spec and gen/mid-il.in.
11 :			*)
12 :
13 :			structure MidOps =
14 :			struct
15 :
16 :	jhr	1640	(* required helper functions for types *)
17 :	jhr	391	type ty = MidILTypes.ty
18 :			val samety = MidILTypes.same
19 :			val hashty = MidILTypes.hash
20 :			val tyToString = MidILTypes.toString
21 :	jhr	328
22 :	jhr	1640	(* required helper functions for type lists *)
23 :			type tys = ty list
24 :			fun sametys (tys1, tys2) = ListPair.allEq samety (tys1, tys2)
25 :			fun hashtys tys = List.foldl (fn (ty, s) => hashty ty + 0w3 * s) 0w0 tys
26 :			fun tysToString tys = String.concat["[", String.concatWith "," (List.map tyToString tys), "]" ]
27 :
28 :	jhr	1116	(* required helper functions for the int type *)
29 :	jhr	332	fun sameint (i1 : int, i2) = (i1 = i2)
30 :			fun hashint i = Word.fromInt i
31 :			fun intToString i = Int.toString i
32 :
33 :	jhr	1116	(* required helper functions for the string type *)
34 :	jhr	287	fun samestring (s1 : string, s2) = (s1 = s2)
35 :			val hashstring = HashString.hashString
36 :			fun stringToString s = String.concat["\"", s, "\""]
37 :
38 :	jhr	2636	(* required helper functions for the input type *)
39 :			type input = ty Inputs.input
40 :			val sameinput = Inputs.same
41 :			val hashinput = Inputs.hash
42 :			val inputToString = Inputs.toString
43 :
44 :	jhr	287	datatype rator
45 :			= Add of ty
46 :			| Sub of ty
47 :			| Mul of ty
48 :			| Div of ty
49 :			| Neg of ty
50 :	jhr	1116	| Abs of ty
51 :	jhr	287	| LT of ty
52 :			| LTE of ty
53 :			| EQ of ty
54 :			| NEQ of ty
55 :			| GT of ty
56 :			| GTE of ty
57 :	jhr	333	| Not
58 :			| Max
59 :			| Min
60 :	jhr	1295	| Clamp of ty
61 :	jhr	1116	| Lerp of ty
62 :	jhr	349	| Dot of int
63 :	jhr	1116	| MulVecMat of int * int
64 :			| MulMatVec of int * int
65 :			| MulMatMat of int * int * int
66 :	jhr	2356	| MulVecTen3 of int * int * int
67 :			| MulTen3Vec of int * int * int
68 :			| ColonMul of ty * ty
69 :	jhr	287	| Cross
70 :	jhr	1116	| Norm of ty
71 :			| Normalize of int
72 :			| Scale of ty
73 :	jhr	287	| PrincipleEvec of ty
74 :	jhr	1640	| EigenVecs2x2
75 :			| EigenVecs3x3
76 :			| EigenVals2x2
77 :			| EigenVals3x3
78 :	jhr	1116	| Identity of int
79 :			| Zero of ty
80 :			| Trace of int
81 :	jhr	2356	| Transpose of int * int
82 :	jhr	1640	| Select of ty * int
83 :			| Index of ty * int
84 :	jhr	287	| Subscript of ty
85 :	jhr	1116	| Ceiling of int
86 :	jhr	333	| Floor of int
87 :	jhr	1116	| Round of int
88 :			| Trunc of int
89 :	jhr	287	| IntToReal
90 :	jhr	1116	| RealToInt of int
91 :			| VoxelAddress of ImageInfo.info * int
92 :			| LoadVoxels of ImageInfo.info * int
93 :	jhr	450	| PosToImgSpace of ImageInfo.info
94 :	jhr	1116	| TensorToWorldSpace of ImageInfo.info * ty
95 :	jhr	328	| EvalKernel of int * Kernel.kernel * int
96 :	jhr	1116	| Inside of ImageInfo.info * int
97 :	jhr	2636	| LoadImage of ty * string * ImageInfo.info
98 :			| Input of input
99 :	jhr	1640	| Print of tys
100 :	jhr	287
101 :	jhr	1640	fun resultArity (Add _) = 1
102 :			| resultArity (Sub _) = 1
103 :			| resultArity (Mul _) = 1
104 :			| resultArity (Div _) = 1
105 :			| resultArity (Neg _) = 1
106 :			| resultArity (Abs _) = 1
107 :			| resultArity (LT _) = 1
108 :			| resultArity (LTE _) = 1
109 :			| resultArity (EQ _) = 1
110 :			| resultArity (NEQ _) = 1
111 :			| resultArity (GT _) = 1
112 :			| resultArity (GTE _) = 1
113 :			| resultArity Not = 1
114 :			| resultArity Max = 1
115 :			| resultArity Min = 1
116 :			| resultArity (Clamp _) = 1
117 :			| resultArity (Lerp _) = 1
118 :			| resultArity (Dot _) = 1
119 :			| resultArity (MulVecMat _) = 1
120 :			| resultArity (MulMatVec _) = 1
121 :			| resultArity (MulMatMat _) = 1
122 :	jhr	2356	| resultArity (MulVecTen3 _) = 1
123 :			| resultArity (MulTen3Vec _) = 1
124 :			| resultArity (ColonMul _) = 1
125 :	jhr	1640	| resultArity Cross = 1
126 :			| resultArity (Norm _) = 1
127 :			| resultArity (Normalize _) = 1
128 :			| resultArity (Scale _) = 1
129 :			| resultArity (PrincipleEvec _) = 1
130 :			| resultArity EigenVecs2x2 = 1
131 :			| resultArity EigenVecs3x3 = 1
132 :			| resultArity EigenVals2x2 = 1
133 :			| resultArity EigenVals3x3 = 1
134 :			| resultArity (Identity _) = 1
135 :			| resultArity (Zero _) = 1
136 :			| resultArity (Trace _) = 1
137 :	jhr	2356	| resultArity (Transpose _) = 1
138 :	jhr	1640	| resultArity (Select _) = 1
139 :			| resultArity (Index _) = 1
140 :			| resultArity (Subscript _) = 1
141 :			| resultArity (Ceiling _) = 1
142 :			| resultArity (Floor _) = 1
143 :			| resultArity (Round _) = 1
144 :			| resultArity (Trunc _) = 1
145 :			| resultArity IntToReal = 1
146 :			| resultArity (RealToInt _) = 1
147 :			| resultArity (VoxelAddress _) = 1
148 :			| resultArity (LoadVoxels _) = 1
149 :			| resultArity (PosToImgSpace _) = 1
150 :			| resultArity (TensorToWorldSpace _) = 1
151 :			| resultArity (EvalKernel _) = 1
152 :	jhr	2636	| resultArity (Inside _) = 1
153 :	jhr	1640	| resultArity (LoadImage _) = 1
154 :	jhr	2636	| resultArity (Input _) = 0
155 :	jhr	1640	| resultArity (Print _) = 0
156 :
157 :	jhr	287	fun arity (Add _) = 2
158 :			| arity (Sub _) = 2
159 :			| arity (Mul _) = 2
160 :			| arity (Div _) = 2
161 :			| arity (Neg _) = 1
162 :	jhr	1116	| arity (Abs _) = 1
163 :	jhr	287	| arity (LT _) = 2
164 :			| arity (LTE _) = 2
165 :			| arity (EQ _) = 2
166 :			| arity (NEQ _) = 2
167 :			| arity (GT _) = 2
168 :			| arity (GTE _) = 2
169 :	jhr	333	| arity Not = 1
170 :			| arity Max = 2
171 :			| arity Min = 2
172 :	jhr	1295	| arity (Clamp _) = 3
173 :	jhr	1116	| arity (Lerp _) = 3
174 :	jhr	287	| arity (Dot _) = 2
175 :	jhr	1116	| arity (MulVecMat _) = 2
176 :			| arity (MulMatVec _) = 2
177 :			| arity (MulMatMat _) = 2
178 :	jhr	2356	| arity (MulVecTen3 _) = 2
179 :			| arity (MulTen3Vec _) = 2
180 :			| arity (ColonMul _) = 2
181 :	jhr	287	| arity Cross = 2
182 :			| arity (Norm _) = 1
183 :	jhr	1116	| arity (Normalize _) = 1
184 :	jhr	287	| arity (Scale _) = 2
185 :			| arity (PrincipleEvec _) = 2
186 :	jhr	1640	| arity EigenVecs2x2 = 1
187 :			| arity EigenVecs3x3 = 1
188 :			| arity EigenVals2x2 = 1
189 :			| arity EigenVals3x3 = 1
190 :	jhr	1116	| arity (Identity _) = 0
191 :			| arity (Zero _) = 0
192 :			| arity (Trace _) = 1
193 :	jhr	2356	| arity (Transpose _) = 1
194 :	jhr	1640	| arity (Select _) = 1
195 :			| arity (Index _) = 1
196 :	jhr	287	| arity (Subscript _) = 2
197 :	jhr	1116	| arity (Ceiling _) = 1
198 :	jhr	333	| arity (Floor _) = 1
199 :	jhr	1116	| arity (Round _) = 1
200 :			| arity (Trunc _) = 1
201 :	jhr	287	| arity IntToReal = 1
202 :	jhr	1116	| arity (RealToInt _) = 1
203 :	jhr	287	| arity (VoxelAddress _) = ~1
204 :			| arity (LoadVoxels _) = 1
205 :	jhr	1116	| arity (PosToImgSpace _) = 2
206 :			| arity (TensorToWorldSpace _) = 2
207 :	jhr	328	| arity (EvalKernel _) = 1
208 :	jhr	1116	| arity (Inside _) = 2
209 :	jhr	2636	| arity (LoadImage _) = 0
210 :	jhr	287	| arity (Input _) = 0
211 :	jhr	1640	| arity (Print _) = ~1
212 :	jhr	287
213 :	jhr	2642	fun isPure (Input _) = false
214 :			| isPure (Print _) = false
215 :	jhr	2356	| isPure _ = true
216 :
217 :	jhr	287	fun same (Add(a0), Add(b0)) = samety(a0, b0)
218 :			| same (Sub(a0), Sub(b0)) = samety(a0, b0)
219 :			| same (Mul(a0), Mul(b0)) = samety(a0, b0)
220 :			| same (Div(a0), Div(b0)) = samety(a0, b0)
221 :			| same (Neg(a0), Neg(b0)) = samety(a0, b0)
222 :	jhr	1116	| same (Abs(a0), Abs(b0)) = samety(a0, b0)
223 :	jhr	287	| same (LT(a0), LT(b0)) = samety(a0, b0)
224 :			| same (LTE(a0), LTE(b0)) = samety(a0, b0)
225 :			| same (EQ(a0), EQ(b0)) = samety(a0, b0)
226 :			| same (NEQ(a0), NEQ(b0)) = samety(a0, b0)
227 :			| same (GT(a0), GT(b0)) = samety(a0, b0)
228 :			| same (GTE(a0), GTE(b0)) = samety(a0, b0)
229 :	jhr	333	| same (Not, Not) = true
230 :			| same (Max, Max) = true
231 :			| same (Min, Min) = true
232 :	jhr	1295	| same (Clamp(a0), Clamp(b0)) = samety(a0, b0)
233 :	jhr	1116	| same (Lerp(a0), Lerp(b0)) = samety(a0, b0)
234 :	jhr	349	| same (Dot(a0), Dot(b0)) = sameint(a0, b0)
235 :	jhr	1116	| same (MulVecMat(a0,a1), MulVecMat(b0,b1)) = sameint(a0, b0) andalso sameint(a1, b1)
236 :			| same (MulMatVec(a0,a1), MulMatVec(b0,b1)) = sameint(a0, b0) andalso sameint(a1, b1)
237 :			| same (MulMatMat(a0,a1,a2), MulMatMat(b0,b1,b2)) = sameint(a0, b0) andalso sameint(a1, b1) andalso sameint(a2, b2)
238 :	jhr	2356	| same (MulVecTen3(a0,a1,a2), MulVecTen3(b0,b1,b2)) = sameint(a0, b0) andalso sameint(a1, b1) andalso sameint(a2, b2)
239 :			| same (MulTen3Vec(a0,a1,a2), MulTen3Vec(b0,b1,b2)) = sameint(a0, b0) andalso sameint(a1, b1) andalso sameint(a2, b2)
240 :			| same (ColonMul(a0,a1), ColonMul(b0,b1)) = samety(a0, b0) andalso samety(a1, b1)
241 :	jhr	287	| same (Cross, Cross) = true
242 :	jhr	1116	| same (Norm(a0), Norm(b0)) = samety(a0, b0)
243 :			| same (Normalize(a0), Normalize(b0)) = sameint(a0, b0)
244 :			| same (Scale(a0), Scale(b0)) = samety(a0, b0)
245 :	jhr	287	| same (PrincipleEvec(a0), PrincipleEvec(b0)) = samety(a0, b0)
246 :	jhr	1640	| same (EigenVecs2x2, EigenVecs2x2) = true
247 :			| same (EigenVecs3x3, EigenVecs3x3) = true
248 :			| same (EigenVals2x2, EigenVals2x2) = true
249 :			| same (EigenVals3x3, EigenVals3x3) = true
250 :	jhr	1116	| same (Identity(a0), Identity(b0)) = sameint(a0, b0)
251 :			| same (Zero(a0), Zero(b0)) = samety(a0, b0)
252 :			| same (Trace(a0), Trace(b0)) = sameint(a0, b0)
253 :	jhr	2356	| same (Transpose(a0,a1), Transpose(b0,b1)) = sameint(a0, b0) andalso sameint(a1, b1)
254 :	jhr	1640	| same (Select(a0,a1), Select(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
255 :			| same (Index(a0,a1), Index(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
256 :	jhr	287	| same (Subscript(a0), Subscript(b0)) = samety(a0, b0)
257 :	jhr	1116	| same (Ceiling(a0), Ceiling(b0)) = sameint(a0, b0)
258 :	jhr	333	| same (Floor(a0), Floor(b0)) = sameint(a0, b0)
259 :	jhr	1116	| same (Round(a0), Round(b0)) = sameint(a0, b0)
260 :			| same (Trunc(a0), Trunc(b0)) = sameint(a0, b0)
261 :	jhr	287	| same (IntToReal, IntToReal) = true
262 :	jhr	1116	| same (RealToInt(a0), RealToInt(b0)) = sameint(a0, b0)
263 :			| same (VoxelAddress(a0,a1), VoxelAddress(b0,b1)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1)
264 :			| same (LoadVoxels(a0,a1), LoadVoxels(b0,b1)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1)
265 :	jhr	450	| same (PosToImgSpace(a0), PosToImgSpace(b0)) = ImageInfo.same(a0, b0)
266 :	jhr	1116	| same (TensorToWorldSpace(a0,a1), TensorToWorldSpace(b0,b1)) = ImageInfo.same(a0, b0) andalso samety(a1, b1)
267 :	jhr	328	| same (EvalKernel(a0,a1,a2), EvalKernel(b0,b1,b2)) = sameint(a0, b0) andalso Kernel.same(a1, b1) andalso sameint(a2, b2)
268 :	jhr	1116	| same (Inside(a0,a1), Inside(b0,b1)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1)
269 :	jhr	2636	| same (LoadImage(a0,a1,a2), LoadImage(b0,b1,b2)) = samety(a0, b0) andalso samestring(a1, b1) andalso ImageInfo.same(a2, b2)
270 :			| same (Input(a0), Input(b0)) = sameinput(a0, b0)
271 :	jhr	1640	| same (Print(a0), Print(b0)) = sametys(a0, b0)
272 :	jhr	287	| same _ = false
273 :
274 :			fun hash (Add(a0)) = 0w3 + hashty a0
275 :			| hash (Sub(a0)) = 0w5 + hashty a0
276 :			| hash (Mul(a0)) = 0w7 + hashty a0
277 :			| hash (Div(a0)) = 0w11 + hashty a0
278 :			| hash (Neg(a0)) = 0w13 + hashty a0
279 :	jhr	1116	| hash (Abs(a0)) = 0w17 + hashty a0
280 :			| hash (LT(a0)) = 0w19 + hashty a0
281 :			| hash (LTE(a0)) = 0w23 + hashty a0
282 :			| hash (EQ(a0)) = 0w29 + hashty a0
283 :			| hash (NEQ(a0)) = 0w31 + hashty a0
284 :			| hash (GT(a0)) = 0w37 + hashty a0
285 :			| hash (GTE(a0)) = 0w41 + hashty a0
286 :			| hash Not = 0w43
287 :			| hash Max = 0w47
288 :			| hash Min = 0w53
289 :	jhr	1295	| hash (Clamp(a0)) = 0w59 + hashty a0
290 :			| hash (Lerp(a0)) = 0w61 + hashty a0
291 :			| hash (Dot(a0)) = 0w67 + hashint a0
292 :			| hash (MulVecMat(a0,a1)) = 0w71 + hashint a0 + hashint a1
293 :			| hash (MulMatVec(a0,a1)) = 0w73 + hashint a0 + hashint a1
294 :			| hash (MulMatMat(a0,a1,a2)) = 0w79 + hashint a0 + hashint a1 + hashint a2
295 :	jhr	2356	| hash (MulVecTen3(a0,a1,a2)) = 0w83 + hashint a0 + hashint a1 + hashint a2
296 :			| hash (MulTen3Vec(a0,a1,a2)) = 0w89 + hashint a0 + hashint a1 + hashint a2
297 :			| hash (ColonMul(a0,a1)) = 0w97 + hashty a0 + hashty a1
298 :			| hash Cross = 0w101
299 :			| hash (Norm(a0)) = 0w103 + hashty a0
300 :			| hash (Normalize(a0)) = 0w107 + hashint a0
301 :			| hash (Scale(a0)) = 0w109 + hashty a0
302 :			| hash (PrincipleEvec(a0)) = 0w113 + hashty a0
303 :			| hash EigenVecs2x2 = 0w127
304 :			| hash EigenVecs3x3 = 0w131
305 :			| hash EigenVals2x2 = 0w137
306 :			| hash EigenVals3x3 = 0w139
307 :			| hash (Identity(a0)) = 0w149 + hashint a0
308 :			| hash (Zero(a0)) = 0w151 + hashty a0
309 :			| hash (Trace(a0)) = 0w157 + hashint a0
310 :			| hash (Transpose(a0,a1)) = 0w163 + hashint a0 + hashint a1
311 :			| hash (Select(a0,a1)) = 0w167 + hashty a0 + hashint a1
312 :			| hash (Index(a0,a1)) = 0w173 + hashty a0 + hashint a1
313 :			| hash (Subscript(a0)) = 0w179 + hashty a0
314 :			| hash (Ceiling(a0)) = 0w181 + hashint a0
315 :			| hash (Floor(a0)) = 0w191 + hashint a0
316 :			| hash (Round(a0)) = 0w193 + hashint a0
317 :			| hash (Trunc(a0)) = 0w197 + hashint a0
318 :			| hash IntToReal = 0w199
319 :			| hash (RealToInt(a0)) = 0w211 + hashint a0
320 :			| hash (VoxelAddress(a0,a1)) = 0w223 + ImageInfo.hash a0 + hashint a1
321 :			| hash (LoadVoxels(a0,a1)) = 0w227 + ImageInfo.hash a0 + hashint a1
322 :			| hash (PosToImgSpace(a0)) = 0w229 + ImageInfo.hash a0
323 :			| hash (TensorToWorldSpace(a0,a1)) = 0w233 + ImageInfo.hash a0 + hashty a1
324 :			| hash (EvalKernel(a0,a1,a2)) = 0w239 + hashint a0 + Kernel.hash a1 + hashint a2
325 :	jhr	2636	| hash (Inside(a0,a1)) = 0w241 + ImageInfo.hash a0 + hashint a1
326 :			| hash (LoadImage(a0,a1,a2)) = 0w251 + hashty a0 + hashstring a1 + ImageInfo.hash a2
327 :			| hash (Input(a0)) = 0w257 + hashinput a0
328 :			| hash (Print(a0)) = 0w263 + hashtys a0
329 :	jhr	287
330 :			fun toString (Add(a0)) = concat["Add<", tyToString a0, ">"]
331 :			| toString (Sub(a0)) = concat["Sub<", tyToString a0, ">"]
332 :			| toString (Mul(a0)) = concat["Mul<", tyToString a0, ">"]
333 :			| toString (Div(a0)) = concat["Div<", tyToString a0, ">"]
334 :			| toString (Neg(a0)) = concat["Neg<", tyToString a0, ">"]
335 :	jhr	1116	| toString (Abs(a0)) = concat["Abs<", tyToString a0, ">"]
336 :	jhr	287	| toString (LT(a0)) = concat["LT<", tyToString a0, ">"]
337 :			| toString (LTE(a0)) = concat["LTE<", tyToString a0, ">"]
338 :			| toString (EQ(a0)) = concat["EQ<", tyToString a0, ">"]
339 :			| toString (NEQ(a0)) = concat["NEQ<", tyToString a0, ">"]
340 :			| toString (GT(a0)) = concat["GT<", tyToString a0, ">"]
341 :			| toString (GTE(a0)) = concat["GTE<", tyToString a0, ">"]
342 :	jhr	333	| toString Not = "Not"
343 :			| toString Max = "Max"
344 :			| toString Min = "Min"
345 :	jhr	1295	| toString (Clamp(a0)) = concat["Clamp<", tyToString a0, ">"]
346 :	jhr	1116	| toString (Lerp(a0)) = concat["Lerp<", tyToString a0, ">"]
347 :	jhr	349	| toString (Dot(a0)) = concat["Dot<", intToString a0, ">"]
348 :	jhr	1116	| toString (MulVecMat(a0,a1)) = concat["MulVecMat<", intToString a0, ",", intToString a1, ">"]
349 :			| toString (MulMatVec(a0,a1)) = concat["MulMatVec<", intToString a0, ",", intToString a1, ">"]
350 :			| toString (MulMatMat(a0,a1,a2)) = concat["MulMatMat<", intToString a0, ",", intToString a1, ",", intToString a2, ">"]
351 :	jhr	2356	| toString (MulVecTen3(a0,a1,a2)) = concat["MulVecTen3<", intToString a0, ",", intToString a1, ",", intToString a2, ">"]
352 :			| toString (MulTen3Vec(a0,a1,a2)) = concat["MulTen3Vec<", intToString a0, ",", intToString a1, ",", intToString a2, ">"]
353 :			| toString (ColonMul(a0,a1)) = concat["ColonMul<", tyToString a0, ",", tyToString a1, ">"]
354 :	jhr	287	| toString Cross = "Cross"
355 :	jhr	1116	| toString (Norm(a0)) = concat["Norm<", tyToString a0, ">"]
356 :			| toString (Normalize(a0)) = concat["Normalize<", intToString a0, ">"]
357 :			| toString (Scale(a0)) = concat["Scale<", tyToString a0, ">"]
358 :	jhr	287	| toString (PrincipleEvec(a0)) = concat["PrincipleEvec<", tyToString a0, ">"]
359 :	jhr	1640	| toString EigenVecs2x2 = "EigenVecs2x2"
360 :			| toString EigenVecs3x3 = "EigenVecs3x3"
361 :			| toString EigenVals2x2 = "EigenVals2x2"
362 :			| toString EigenVals3x3 = "EigenVals3x3"
363 :	jhr	1116	| toString (Identity(a0)) = concat["Identity<", intToString a0, ">"]
364 :			| toString (Zero(a0)) = concat["Zero<", tyToString a0, ">"]
365 :			| toString (Trace(a0)) = concat["Trace<", intToString a0, ">"]
366 :	jhr	2356	| toString (Transpose(a0,a1)) = concat["Transpose<", intToString a0, ",", intToString a1, ">"]
367 :	jhr	1640	| toString (Select(a0,a1)) = concat["Select<", tyToString a0, ",", intToString a1, ">"]
368 :			| toString (Index(a0,a1)) = concat["Index<", tyToString a0, ",", intToString a1, ">"]
369 :	jhr	287	| toString (Subscript(a0)) = concat["Subscript<", tyToString a0, ">"]
370 :	jhr	1116	| toString (Ceiling(a0)) = concat["Ceiling<", intToString a0, ">"]
371 :	jhr	333	| toString (Floor(a0)) = concat["Floor<", intToString a0, ">"]
372 :	jhr	1116	| toString (Round(a0)) = concat["Round<", intToString a0, ">"]
373 :			| toString (Trunc(a0)) = concat["Trunc<", intToString a0, ">"]
374 :	jhr	287	| toString IntToReal = "IntToReal"
375 :	jhr	1116	| toString (RealToInt(a0)) = concat["RealToInt<", intToString a0, ">"]
376 :			| toString (VoxelAddress(a0,a1)) = concat["VoxelAddress<", ImageInfo.toString a0, ",", intToString a1, ">"]
377 :			| toString (LoadVoxels(a0,a1)) = concat["LoadVoxels<", ImageInfo.toString a0, ",", intToString a1, ">"]
378 :	jhr	450	| toString (PosToImgSpace(a0)) = concat["PosToImgSpace<", ImageInfo.toString a0, ">"]
379 :	jhr	1116	| toString (TensorToWorldSpace(a0,a1)) = concat["TensorToWorldSpace<", ImageInfo.toString a0, ",", tyToString a1, ">"]
380 :	jhr	332	| toString (EvalKernel(a0,a1,a2)) = concat["EvalKernel<", intToString a0, ",", Kernel.toString a1, ",", intToString a2, ">"]
381 :	jhr	1116	| toString (Inside(a0,a1)) = concat["Inside<", ImageInfo.toString a0, ",", intToString a1, ">"]
382 :	jhr	2636	| toString (LoadImage(a0,a1,a2)) = concat["LoadImage<", tyToString a0, ",", stringToString a1, ",", ImageInfo.toString a2, ">"]
383 :			| toString (Input(a0)) = concat["Input<", inputToString a0, ">"]
384 :	jhr	1640	| toString (Print(a0)) = concat["Print<", tysToString a0, ">"]
385 :	jhr	287
386 :			end
387 :
388 :	jhr	392	structure MidIL = SSAFn(
389 :	jhr	1232	val ilName = "mid-il"
390 :	jhr	392	structure Ty = MidILTypes
391 :			structure Op = MidOps)
392 :	jhr	1116
393 :			structure MidILCensus = CensusFn(MidIL)
394 :

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