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[diderot] Annotation of /branches/charisee/src/compiler/low-il/low-il.sml
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Annotation of /branches/charisee/src/compiler/low-il/low-il.sml

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1 : jhr 458 (* low-il.in
2 :     *
3 :     * COPYRIGHT (c) 2010 The Diderot Project (http://diderot-language.cs.uchicago.edu)
4 :     * All rights reserved.
5 :     *
6 :     * Lower-level version of the Diderot IL input file.
7 :     *
8 :     *)
9 :    
10 :     structure LowOps =
11 :     struct
12 :    
13 : jhr 1640 (* required helper functions for types *)
14 : jhr 458 type ty = LowILTypes.ty
15 :     val samety = LowILTypes.same
16 :     val hashty = LowILTypes.hash
17 :     val tyToString = LowILTypes.toString
18 :    
19 : jhr 1640 (* required helper functions for type lists *)
20 :     type tys = ty list
21 :     fun sametys (tys1, tys2) = ListPair.allEq samety (tys1, tys2)
22 :     fun hashtys tys = List.foldl (fn (ty, s) => hashty ty + 0w3 * s) 0w0 tys
23 :     fun tysToString tys = String.concat["[", String.concatWith "," (List.map tyToString tys), "]" ]
24 :    
25 :     (* required helper functions for the int type *)
26 : jhr 458 fun sameint (i1 : int, i2) = (i1 = i2)
27 :     fun hashint i = Word.fromInt i
28 :     fun intToString i = Int.toString i
29 :    
30 : jhr 1640 (* required helper functions for the string type *)
31 : jhr 458 fun samestring (s1 : string, s2) = (s1 = s2)
32 :     val hashstring = HashString.hashString
33 :     fun stringToString s = String.concat["\"", s, "\""]
34 :    
35 :     datatype rator
36 : cchiw 2523 = IAdd
37 :     | ISub
38 :     | IMul
39 :     | IDiv
40 :     | INeg
41 : jhr 1116 | Abs of ty
42 : jhr 458 | LT of ty
43 :     | LTE of ty
44 :     | EQ of ty
45 :     | NEQ of ty
46 :     | GT of ty
47 :     | GTE of ty
48 :     | Not
49 :     | Max
50 :     | Min
51 : cchiw 2553 | CR of real
52 : cchiw 2523 | C of int
53 : cchiw 2525 | V of int * int * ty * ty
54 :     | S of int * ty * ty
55 : cchiw 2523 | addSca
56 :     | subSca
57 :     | prodSca
58 :     | divSca
59 : cchiw 2533 | cons of ty * int
60 :     | imgAddr of ImageInfo.info * ty * int
61 :     | imgLoad of ImageInfo.info * int * int
62 : cchiw 2525 | addVec of int
63 :     | subVec of int
64 :     | prodVec of int
65 :     | prodScaV of int
66 :     | sumVec of int
67 : jhr 1295 | Clamp of ty
68 : jhr 1116 | Lerp of ty
69 :     | Norm of ty
70 :     | Normalize of int
71 : jhr 458 | PrincipleEvec of ty
72 : jhr 1640 | EigenVecs2x2
73 :     | EigenVecs3x3
74 :     | EigenVals2x2
75 :     | EigenVals3x3
76 : jhr 1116 | Zero of ty
77 : jhr 1640 | Select of ty * int
78 :     | Index of ty * int
79 : jhr 458 | Subscript of ty
80 : cchiw 2400 | MkDynamic of ty * int
81 :     | Append of ty
82 :     | Prepend of ty
83 :     | Concat of ty
84 :     | Length of ty
85 : jhr 1116 | Ceiling of int
86 : jhr 458 | Floor of int
87 : jhr 1116 | Round of int
88 :     | Trunc of int
89 : jhr 458 | IntToReal
90 : jhr 1116 | RealToInt of int
91 : cchiw 2523 | Transform of ImageInfo.info
92 :     | Translate of ImageInfo.info
93 : cchiw 2525 | Kernel of Kernel.kernel * int
94 : jhr 511 | ImageAddress of ImageInfo.info
95 : jhr 1116 | LoadVoxels of ImageInfo.info * int
96 :     | Inside of ImageInfo.info * int
97 : cchiw 2400 | LoadSeq of ty * string
98 : cchiw 2525 | LoadImage of ImageInfo.info
99 :     | Input of ty * string * string
100 :     | InputWithDefault of ty * string * string
101 : jhr 1640 | Print of tys
102 : jhr 458
103 : cchiw 2523 fun resultArity IAdd = 1
104 :     | resultArity ISub = 1
105 :     | resultArity IMul = 1
106 :     | resultArity IDiv = 1
107 :     | resultArity INeg = 1
108 : jhr 1640 | resultArity (Abs _) = 1
109 :     | resultArity (LT _) = 1
110 :     | resultArity (LTE _) = 1
111 :     | resultArity (EQ _) = 1
112 :     | resultArity (NEQ _) = 1
113 :     | resultArity (GT _) = 1
114 :     | resultArity (GTE _) = 1
115 :     | resultArity Not = 1
116 :     | resultArity Max = 1
117 :     | resultArity Min = 1
118 : cchiw 2523 | resultArity (C _) = 1
119 :     | resultArity (V _) = 1
120 :     | resultArity (S _) = 1
121 :     | resultArity addSca = 1
122 :     | resultArity subSca = 1
123 :     | resultArity prodSca = 1
124 :     | resultArity divSca = 1
125 :     | resultArity (cons _) = 1
126 : cchiw 2529 | resultArity (imgAddr _) = 1
127 :     | resultArity (imgLoad _) = 1
128 : cchiw 2525 | resultArity (addVec _) = 1
129 :     | resultArity (subVec _) = 1
130 :     | resultArity (prodVec _) = 1
131 :     | resultArity (prodScaV _) = 1
132 :     | resultArity (sumVec _) = 1
133 : jhr 1640 | resultArity (Clamp _) = 1
134 :     | resultArity (Lerp _) = 1
135 :     | resultArity (Norm _) = 1
136 :     | resultArity (Normalize _) = 1
137 :     | resultArity (PrincipleEvec _) = 1
138 :     | resultArity EigenVecs2x2 = 1
139 :     | resultArity EigenVecs3x3 = 1
140 :     | resultArity EigenVals2x2 = 1
141 :     | resultArity EigenVals3x3 = 1
142 :     | resultArity (Zero _) = 1
143 :     | resultArity (Select _) = 1
144 :     | resultArity (Index _) = 1
145 :     | resultArity (Subscript _) = 1
146 : cchiw 2400 | resultArity (MkDynamic _) = 1
147 :     | resultArity (Append _) = 2
148 :     | resultArity (Prepend _) = 2
149 :     | resultArity (Concat _) = 2
150 :     | resultArity (Length _) = 1
151 : jhr 1640 | resultArity (Ceiling _) = 1
152 :     | resultArity (Floor _) = 1
153 :     | resultArity (Round _) = 1
154 :     | resultArity (Trunc _) = 1
155 :     | resultArity IntToReal = 1
156 :     | resultArity (RealToInt _) = 1
157 : cchiw 2523 | resultArity (Transform _) = 1
158 :     | resultArity (Translate _) = 1
159 : cchiw 2525 | resultArity (Kernel _) = 1
160 : jhr 1640 | resultArity (ImageAddress _) = 1
161 :     | resultArity (LoadVoxels _) = 1
162 : cchiw 2400 | resultArity (Inside _) = 1
163 :     | resultArity (LoadSeq _) = 1
164 : jhr 1640 | resultArity (LoadImage _) = 1
165 : cchiw 2525 | resultArity (Input _) = 1
166 :     | resultArity (InputWithDefault _) = 1
167 : jhr 1640 | resultArity (Print _) = 0
168 :    
169 : cchiw 2523 fun arity IAdd = 2
170 :     | arity ISub = 2
171 :     | arity IMul = 2
172 :     | arity IDiv = 2
173 :     | arity INeg = 1
174 : jhr 1116 | arity (Abs _) = 1
175 : jhr 458 | arity (LT _) = 2
176 :     | arity (LTE _) = 2
177 :     | arity (EQ _) = 2
178 :     | arity (NEQ _) = 2
179 :     | arity (GT _) = 2
180 :     | arity (GTE _) = 2
181 :     | arity Not = 1
182 :     | arity Max = 2
183 :     | arity Min = 2
184 : cchiw 2523 | arity (C _) = 2
185 :     | arity (V _) = 2
186 :     | arity (S _) = 2
187 :     | arity addSca = 2
188 :     | arity subSca = 2
189 :     | arity prodSca = 2
190 :     | arity divSca = 2
191 :     | arity (cons _) = 2
192 : cchiw 2529 | arity (imgAddr _) = 2
193 :     | arity (imgLoad _) = 2
194 : cchiw 2525 | arity (addVec _) = 2
195 :     | arity (subVec _) = 2
196 :     | arity (prodVec _) = 2
197 :     | arity (prodScaV _) = 2
198 :     | arity (sumVec _) = 2
199 : jhr 1295 | arity (Clamp _) = 3
200 : jhr 1116 | arity (Lerp _) = 3
201 : jhr 458 | arity (Norm _) = 1
202 : jhr 1116 | arity (Normalize _) = 1
203 : jhr 458 | arity (PrincipleEvec _) = 2
204 : jhr 1640 | arity EigenVecs2x2 = 1
205 :     | arity EigenVecs3x3 = 1
206 :     | arity EigenVals2x2 = 1
207 :     | arity EigenVals3x3 = 1
208 : jhr 1116 | arity (Zero _) = 0
209 : jhr 1640 | arity (Select _) = 1
210 :     | arity (Index _) = 1
211 : jhr 458 | arity (Subscript _) = 2
212 : cchiw 2400 | arity (MkDynamic _) = 1
213 :     | arity (Append _) = 1
214 :     | arity (Prepend _) = 1
215 :     | arity (Concat _) = 1
216 :     | arity (Length _) = 1
217 : jhr 1116 | arity (Ceiling _) = 1
218 : jhr 458 | arity (Floor _) = 1
219 : jhr 1116 | arity (Round _) = 1
220 :     | arity (Trunc _) = 1
221 : jhr 458 | arity IntToReal = 1
222 : jhr 1116 | arity (RealToInt _) = 1
223 : cchiw 2523 | arity (Transform _) = 2
224 :     | arity (Translate _) = 2
225 : cchiw 2525 | arity (Kernel _) = 0
226 : jhr 1116 | arity (ImageAddress _) = 1
227 : jhr 458 | arity (LoadVoxels _) = 1
228 : jhr 1116 | arity (Inside _) = 2
229 : cchiw 2400 | arity (LoadSeq _) = 0
230 :     | arity (LoadImage _) = 0
231 : cchiw 2525 | arity (Input _) = 0
232 :     | arity (InputWithDefault _) = 1
233 : jhr 1640 | arity (Print _) = ~1
234 : jhr 458
235 : cchiw 2400 fun isPure (MkDynamic _) = false
236 :     | isPure (Append _) = false
237 :     | isPure (Prepend _) = false
238 :     | isPure (Concat _) = false
239 :     | isPure (Print _) = false
240 : jhr 2356 | isPure _ = true
241 :    
242 : cchiw 2522 fun same (IAdd, IAdd) = true
243 :     | same (ISub, ISub) = true
244 :     | same (IMul, IMul) = true
245 :     | same (IDiv, IDiv) = true
246 :     | same (INeg, INeg) = true
247 : jhr 1116 | same (Abs(a0), Abs(b0)) = samety(a0, b0)
248 : jhr 458 | same (LT(a0), LT(b0)) = samety(a0, b0)
249 :     | same (LTE(a0), LTE(b0)) = samety(a0, b0)
250 :     | same (EQ(a0), EQ(b0)) = samety(a0, b0)
251 :     | same (NEQ(a0), NEQ(b0)) = samety(a0, b0)
252 :     | same (GT(a0), GT(b0)) = samety(a0, b0)
253 :     | same (GTE(a0), GTE(b0)) = samety(a0, b0)
254 :     | same (Not, Not) = true
255 :     | same (Max, Max) = true
256 :     | same (Min, Min) = true
257 : cchiw 2523 | same (C(a0), C(b0)) = sameint(a0, b0)
258 : cchiw 2525 | same (V(a0,a1,a2,a3), V(b0,b1,b2,b3)) = sameint(a0, b0) andalso sameint(a1, b1) andalso samety(a2, b2) andalso samety(a3, b3)
259 :     | same (S(a0,a1,a2), S(b0,b1,b2)) = sameint(a0, b0) andalso samety(a1, b1) andalso samety(a2, b2)
260 : cchiw 2523 | same (addSca, addSca) = true
261 :     | same (subSca, subSca) = true
262 :     | same (prodSca, prodSca) = true
263 :     | same (divSca, divSca) = true
264 : cchiw 2533 | same (cons(a0,a1), cons(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
265 :     | same (imgAddr(a0,a1,a2), imgAddr(b0,b1,b2)) = ImageInfo.same(a0, b0) andalso samety(a1, b1) andalso sameint(a2, b2)
266 :     | same (imgLoad(a0,a1,a2), imgLoad(b0,b1,b2)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1) andalso sameint(a2, b2)
267 : cchiw 2525 | same (addVec(a0), addVec(b0)) = sameint(a0, b0)
268 :     | same (subVec(a0), subVec(b0)) = sameint(a0, b0)
269 :     | same (prodVec(a0), prodVec(b0)) = sameint(a0, b0)
270 :     | same (prodScaV(a0), prodScaV(b0)) = sameint(a0, b0)
271 :     | same (sumVec(a0), sumVec(b0)) = sameint(a0, b0)
272 : jhr 1295 | same (Clamp(a0), Clamp(b0)) = samety(a0, b0)
273 : jhr 1116 | same (Lerp(a0), Lerp(b0)) = samety(a0, b0)
274 :     | same (Norm(a0), Norm(b0)) = samety(a0, b0)
275 :     | same (Normalize(a0), Normalize(b0)) = sameint(a0, b0)
276 : jhr 458 | same (PrincipleEvec(a0), PrincipleEvec(b0)) = samety(a0, b0)
277 : jhr 1640 | same (EigenVecs2x2, EigenVecs2x2) = true
278 :     | same (EigenVecs3x3, EigenVecs3x3) = true
279 :     | same (EigenVals2x2, EigenVals2x2) = true
280 :     | same (EigenVals3x3, EigenVals3x3) = true
281 : jhr 1116 | same (Zero(a0), Zero(b0)) = samety(a0, b0)
282 : jhr 1640 | same (Select(a0,a1), Select(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
283 :     | same (Index(a0,a1), Index(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
284 : jhr 458 | same (Subscript(a0), Subscript(b0)) = samety(a0, b0)
285 : cchiw 2400 | same (MkDynamic(a0,a1), MkDynamic(b0,b1)) = samety(a0, b0) andalso sameint(a1, b1)
286 :     | same (Append(a0), Append(b0)) = samety(a0, b0)
287 :     | same (Prepend(a0), Prepend(b0)) = samety(a0, b0)
288 :     | same (Concat(a0), Concat(b0)) = samety(a0, b0)
289 :     | same (Length(a0), Length(b0)) = samety(a0, b0)
290 : jhr 1116 | same (Ceiling(a0), Ceiling(b0)) = sameint(a0, b0)
291 : jhr 458 | same (Floor(a0), Floor(b0)) = sameint(a0, b0)
292 : jhr 1116 | same (Round(a0), Round(b0)) = sameint(a0, b0)
293 :     | same (Trunc(a0), Trunc(b0)) = sameint(a0, b0)
294 : jhr 458 | same (IntToReal, IntToReal) = true
295 : jhr 1116 | same (RealToInt(a0), RealToInt(b0)) = sameint(a0, b0)
296 : cchiw 2523 | same (Transform(a0), Transform(b0)) = ImageInfo.same(a0, b0)
297 :     | same (Translate(a0), Translate(b0)) = ImageInfo.same(a0, b0)
298 : cchiw 2525 | same (Kernel(a0,a1), Kernel(b0,b1)) = Kernel.same(a0, b0) andalso sameint(a1, b1)
299 : jhr 511 | same (ImageAddress(a0), ImageAddress(b0)) = ImageInfo.same(a0, b0)
300 : jhr 1116 | same (LoadVoxels(a0,a1), LoadVoxels(b0,b1)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1)
301 :     | same (Inside(a0,a1), Inside(b0,b1)) = ImageInfo.same(a0, b0) andalso sameint(a1, b1)
302 : cchiw 2400 | same (LoadSeq(a0,a1), LoadSeq(b0,b1)) = samety(a0, b0) andalso samestring(a1, b1)
303 : cchiw 2525 | same (LoadImage(a0), LoadImage(b0)) = ImageInfo.same(a0, b0)
304 :     | same (Input(a0,a1,a2), Input(b0,b1,b2)) = samety(a0, b0) andalso samestring(a1, b1) andalso samestring(a2, b2)
305 :     | same (InputWithDefault(a0,a1,a2), InputWithDefault(b0,b1,b2)) = samety(a0, b0) andalso samestring(a1, b1) andalso samestring(a2, b2)
306 : jhr 1640 | same (Print(a0), Print(b0)) = sametys(a0, b0)
307 : jhr 458 | same _ = false
308 :    
309 : cchiw 2523 fun hash IAdd = 0w3
310 :     | hash ISub = 0w5
311 :     | hash IMul = 0w7
312 :     | hash IDiv = 0w11
313 :     | hash INeg = 0w13
314 : jhr 1116 | hash (Abs(a0)) = 0w17 + hashty a0
315 :     | hash (LT(a0)) = 0w19 + hashty a0
316 :     | hash (LTE(a0)) = 0w23 + hashty a0
317 :     | hash (EQ(a0)) = 0w29 + hashty a0
318 :     | hash (NEQ(a0)) = 0w31 + hashty a0
319 :     | hash (GT(a0)) = 0w37 + hashty a0
320 :     | hash (GTE(a0)) = 0w41 + hashty a0
321 :     | hash Not = 0w43
322 :     | hash Max = 0w47
323 :     | hash Min = 0w53
324 : cchiw 2523 | hash (C(a0)) = 0w59 + hashint a0
325 : cchiw 2525 | hash (V(a0,a1,a2,a3)) = 0w61 + hashint a0 + hashint a1 + hashty a2 + hashty a3
326 :     | hash (S(a0,a1,a2)) = 0w67 + hashint a0 + hashty a1 + hashty a2
327 :     | hash addSca = 0w71
328 :     | hash subSca = 0w73
329 :     | hash prodSca = 0w79
330 :     | hash divSca = 0w83
331 : cchiw 2533 | hash (cons(a0,a1)) = 0w89 + hashty a0 + hashint a1
332 :     | hash (imgAddr(a0,a1,a2)) = 0w97 + ImageInfo.hash a0 + hashty a1 + hashint a2
333 :     | hash (imgLoad(a0,a1,a2)) = 0w101 + ImageInfo.hash a0 + hashint a1 + hashint a2
334 :     | hash (addVec(a0)) = 0w103 + hashint a0
335 :     | hash (subVec(a0)) = 0w107 + hashint a0
336 :     | hash (prodVec(a0)) = 0w109 + hashint a0
337 :     | hash (prodScaV(a0)) = 0w113 + hashint a0
338 :     | hash (sumVec(a0)) = 0w127 + hashint a0
339 :     | hash (Clamp(a0)) = 0w131 + hashty a0
340 :     | hash (Lerp(a0)) = 0w137 + hashty a0
341 :     | hash (Norm(a0)) = 0w139 + hashty a0
342 :     | hash (Normalize(a0)) = 0w149 + hashint a0
343 :     | hash (PrincipleEvec(a0)) = 0w151 + hashty a0
344 :     | hash EigenVecs2x2 = 0w157
345 :     | hash EigenVecs3x3 = 0w163
346 :     | hash EigenVals2x2 = 0w167
347 :     | hash EigenVals3x3 = 0w173
348 :     | hash (Zero(a0)) = 0w179 + hashty a0
349 :     | hash (Select(a0,a1)) = 0w181 + hashty a0 + hashint a1
350 :     | hash (Index(a0,a1)) = 0w191 + hashty a0 + hashint a1
351 :     | hash (Subscript(a0)) = 0w193 + hashty a0
352 :     | hash (MkDynamic(a0,a1)) = 0w197 + hashty a0 + hashint a1
353 :     | hash (Append(a0)) = 0w199 + hashty a0
354 :     | hash (Prepend(a0)) = 0w211 + hashty a0
355 :     | hash (Concat(a0)) = 0w223 + hashty a0
356 :     | hash (Length(a0)) = 0w227 + hashty a0
357 :     | hash (Ceiling(a0)) = 0w229 + hashint a0
358 :     | hash (Floor(a0)) = 0w233 + hashint a0
359 :     | hash (Round(a0)) = 0w239 + hashint a0
360 :     | hash (Trunc(a0)) = 0w241 + hashint a0
361 :     | hash IntToReal = 0w251
362 :     | hash (RealToInt(a0)) = 0w257 + hashint a0
363 :     | hash (Transform(a0)) = 0w263 + ImageInfo.hash a0
364 :     | hash (Translate(a0)) = 0w269 + ImageInfo.hash a0
365 :     | hash (Kernel(a0,a1)) = 0w271 + Kernel.hash a0 + hashint a1
366 :     | hash (ImageAddress(a0)) = 0w277 + ImageInfo.hash a0
367 :     | hash (LoadVoxels(a0,a1)) = 0w281 + ImageInfo.hash a0 + hashint a1
368 :     | hash (Inside(a0,a1)) = 0w283 + ImageInfo.hash a0 + hashint a1
369 :     | hash (LoadSeq(a0,a1)) = 0w293 + hashty a0 + hashstring a1
370 :     | hash (LoadImage(a0)) = 0w307 + ImageInfo.hash a0
371 :     | hash (Input(a0,a1,a2)) = 0w311 + hashty a0 + hashstring a1 + hashstring a2
372 :     | hash (InputWithDefault(a0,a1,a2)) = 0w313 + hashty a0 + hashstring a1 + hashstring a2
373 :     | hash (Print(a0)) = 0w317 + hashtys a0
374 : jhr 458
375 : cchiw 2523 fun toString IAdd = "IAdd"
376 :     | toString ISub = "ISub"
377 :     | toString IMul = "IMul"
378 :     | toString IDiv = "IDiv"
379 :     | toString INeg = "INeg"
380 : jhr 1116 | toString (Abs(a0)) = concat["Abs<", tyToString a0, ">"]
381 : jhr 458 | toString (LT(a0)) = concat["LT<", tyToString a0, ">"]
382 :     | toString (LTE(a0)) = concat["LTE<", tyToString a0, ">"]
383 :     | toString (EQ(a0)) = concat["EQ<", tyToString a0, ">"]
384 :     | toString (NEQ(a0)) = concat["NEQ<", tyToString a0, ">"]
385 :     | toString (GT(a0)) = concat["GT<", tyToString a0, ">"]
386 :     | toString (GTE(a0)) = concat["GTE<", tyToString a0, ">"]
387 :     | toString Not = "Not"
388 :     | toString Max = "Max"
389 :     | toString Min = "Min"
390 : cchiw 2523 | toString (C(a0)) = concat["C<", intToString a0, ">"]
391 : cchiw 2525 | toString (V(a0,a1,a2,a3)) = concat["V<", intToString a0, ",", intToString a1, ",", tyToString a2, ",", tyToString a3, ">"]
392 :     | toString (S(a0,a1,a2)) = concat["S<", intToString a0, ",", tyToString a1, ",", tyToString a2, ">"]
393 : cchiw 2523 | toString addSca = "addSca"
394 :     | toString subSca = "subSca"
395 :     | toString prodSca = "prodSca"
396 :     | toString divSca = "divSca"
397 : cchiw 2533 | toString (cons(a0,a1)) = concat["cons<", tyToString a0, ",", intToString a1, ">"]
398 :     | toString (imgAddr(a0,a1,a2)) = concat["imgAddr<", ImageInfo.toString a0, ",", tyToString a1, ",", intToString a2, ">"]
399 :     | toString (imgLoad(a0,a1,a2)) = concat["imgLoad<", ImageInfo.toString a0, ",", intToString a1, ",", intToString a2, ">"]
400 : cchiw 2525 | toString (addVec(a0)) = concat["addVec<", intToString a0, ">"]
401 :     | toString (subVec(a0)) = concat["subVec<", intToString a0, ">"]
402 :     | toString (prodVec(a0)) = concat["prodVec<", intToString a0, ">"]
403 :     | toString (prodScaV(a0)) = concat["prodScaV<", intToString a0, ">"]
404 :     | toString (sumVec(a0)) = concat["sumVec<", intToString a0, ">"]
405 : jhr 1295 | toString (Clamp(a0)) = concat["Clamp<", tyToString a0, ">"]
406 : jhr 1116 | toString (Lerp(a0)) = concat["Lerp<", tyToString a0, ">"]
407 :     | toString (Norm(a0)) = concat["Norm<", tyToString a0, ">"]
408 :     | toString (Normalize(a0)) = concat["Normalize<", intToString a0, ">"]
409 : jhr 458 | toString (PrincipleEvec(a0)) = concat["PrincipleEvec<", tyToString a0, ">"]
410 : jhr 1640 | toString EigenVecs2x2 = "EigenVecs2x2"
411 :     | toString EigenVecs3x3 = "EigenVecs3x3"
412 :     | toString EigenVals2x2 = "EigenVals2x2"
413 :     | toString EigenVals3x3 = "EigenVals3x3"
414 : jhr 1116 | toString (Zero(a0)) = concat["Zero<", tyToString a0, ">"]
415 : jhr 1640 | toString (Select(a0,a1)) = concat["Select<", tyToString a0, ",", intToString a1, ">"]
416 :     | toString (Index(a0,a1)) = concat["Index<", tyToString a0, ",", intToString a1, ">"]
417 : jhr 458 | toString (Subscript(a0)) = concat["Subscript<", tyToString a0, ">"]
418 : cchiw 2400 | toString (MkDynamic(a0,a1)) = concat["MkDynamic<", tyToString a0, ",", intToString a1, ">"]
419 :     | toString (Append(a0)) = concat["Append<", tyToString a0, ">"]
420 :     | toString (Prepend(a0)) = concat["Prepend<", tyToString a0, ">"]
421 :     | toString (Concat(a0)) = concat["Concat<", tyToString a0, ">"]
422 :     | toString (Length(a0)) = concat["Length<", tyToString a0, ">"]
423 : jhr 1116 | toString (Ceiling(a0)) = concat["Ceiling<", intToString a0, ">"]
424 : jhr 458 | toString (Floor(a0)) = concat["Floor<", intToString a0, ">"]
425 : jhr 1116 | toString (Round(a0)) = concat["Round<", intToString a0, ">"]
426 :     | toString (Trunc(a0)) = concat["Trunc<", intToString a0, ">"]
427 : jhr 458 | toString IntToReal = "IntToReal"
428 : jhr 1116 | toString (RealToInt(a0)) = concat["RealToInt<", intToString a0, ">"]
429 : cchiw 2523 | toString (Transform(a0)) = concat["Transform<", ImageInfo.toString a0, ">"]
430 :     | toString (Translate(a0)) = concat["Translate<", ImageInfo.toString a0, ">"]
431 : cchiw 2525 | toString (Kernel(a0,a1)) = concat["Kernel<", Kernel.toString a0, ",", intToString a1, ">"]
432 : jhr 511 | toString (ImageAddress(a0)) = concat["ImageAddress<", ImageInfo.toString a0, ">"]
433 : jhr 1116 | toString (LoadVoxels(a0,a1)) = concat["LoadVoxels<", ImageInfo.toString a0, ",", intToString a1, ">"]
434 :     | toString (Inside(a0,a1)) = concat["Inside<", ImageInfo.toString a0, ",", intToString a1, ">"]
435 : cchiw 2400 | toString (LoadSeq(a0,a1)) = concat["LoadSeq<", tyToString a0, ",", stringToString a1, ">"]
436 : cchiw 2525 | toString (LoadImage(a0)) = concat["LoadImage<", ImageInfo.toString a0, ">"]
437 :     | toString (Input(a0,a1,a2)) = concat["Input<", tyToString a0, ",", stringToString a1, ",", stringToString a2, ">"]
438 :     | toString (InputWithDefault(a0,a1,a2)) = concat["InputWithDefault<", tyToString a0, ",", stringToString a1, ",", stringToString a2, ">"]
439 : cchiw 2523 | toString (Print(a0)) = concat["Print<", tysToString a0, ">"]
440 : jhr 458
441 :     end
442 :    
443 :     structure LowIL = SSAFn(
444 : jhr 1232 val ilName = "low-il"
445 : jhr 458 structure Ty = LowILTypes
446 :     structure Op = LowOps)
447 : jhr 1116
448 :     structure LowILCensus = CensusFn(LowIL)
449 :    

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