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[diderot] Annotation of /branches/charisee_dev/src/compiler/high-to-mid/split.sml
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Annotation of /branches/charisee_dev/src/compiler/high-to-mid/split.sml

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Original Path: branches/charisee/src/compiler/high-to-mid/split.sml

1 : cchiw 2843 (* Currently under construction
2 : cchiw 2838 *
3 :     * COPYRIGHT (c) 2012 The Diderot Project (http://diderot-language.cs.uchicago.edu)
4 :     * All rights reserved.
5 :     *)
6 : cchiw 2843
7 :     (*
8 :     During the transition from high-IL to mid-IL, complicated EIN expressions are split into simpler ones in order to better identify methods for code generation and common subexpressions. Combining EIN operators in the optimization phase can lead to large and complicated EIN operators. A general code generator would need to expand every operation to work on scalars, which could miss the opportunity for vectorization and lead to poor code generation. Instead, every EIN operator is split into a set of simple EIN operators. Each EIN expression then only has one operation working on constants, tensors, deltas, epsilons, images and kernels.
9 :    
10 :     (1) When the outer EIN operator is $ \in {--, +, -, *, /, \sum}$ then for each subexpression analyze to see if they need to be rewritten.
11 :    
12 :     (1a.) When a subexpression is a field expression $\circledast,\nabla $ then it becomes 0. When it is another operation $ {@ --, +, -, *, /, \sum}$ then we lift that subexpression and create a new EIN operator. We replace the subexpression with a tensor expression that represent it's size.
13 :    
14 :     (1b) Call cleanIndex.sml to clean the indices in the subexpression, and get the shape for the tensor replacement.
15 :    
16 :     (1c) Call cleanParams.sml to clean the params in the subexpression.\\
17 :     *)
18 : cchiw 2838
19 :     structure Split = struct
20 :    
21 :     local
22 :    
23 :     structure E = Ein
24 :     structure DstIL = MidIL
25 :     structure DstTy = MidILTypes
26 :     structure DstV = DstIL.Var
27 : cchiw 3174
28 : cchiw 2838 structure P=Printer
29 :     structure cleanP=cleanParams
30 :     structure cleanI=cleanIndex
31 :    
32 : cchiw 3033
33 : cchiw 2838 in
34 :    
35 : cchiw 3174 val numFlag=1 (*remove common subexpression*)
36 : cchiw 3033 val testing=0
37 : cchiw 2838 fun setEin(params,index,body)=Ein.EIN{params=params, index=index, body=body}
38 :     fun assignEinApp(y,params,index,body,args)= (y,DstIL.EINAPP(setEin(params,index,body),args))
39 : cchiw 2843 val einappzero=DstIL.EINAPP(setEin([],[],E.Const 0),[])
40 :     fun setEinZero y= (y,einappzero)
41 : cchiw 2838 fun cleanParams e =cleanP.cleanParams e
42 :     fun cleanIndex e =cleanI.cleanIndex e
43 : cchiw 2845 fun printEINAPP e=MidToString.printEINAPP e
44 : cchiw 2838 fun itos i =Int.toString i
45 : cchiw 2923 fun filterSca e=Filter.filterSca e
46 : cchiw 2838 fun err str=raise Fail str
47 :     val cnt = ref 0
48 : cchiw 3166 fun incUse (DstIL.V{useCnt, ...}) = (useCnt := !useCnt + 1)
49 : cchiw 2838 fun genName prefix = let
50 :     val n = !cnt
51 :     in
52 :     cnt := n+1;
53 :     String.concat[prefix, "_", Int.toString n]
54 :     end
55 :     fun testp n=(case testing
56 :     of 0=> 1
57 :     | _ =>(print(String.concat n);1)
58 :     (*end case*))
59 :    
60 :     (* lift:ein_app*params*index*sum_id*args-> (ein_exp* params*args*code)
61 :     *lifts expression and returns replacement tensor
62 : cchiw 2843 * cleans the index and params of subexpression
63 :     *creates new param and replacement tensor for the original ein_exp
64 : cchiw 2838 *)
65 : cchiw 3166 fun lift(name,e,params,index,sx,args,fieldset,flag)=let
66 : cchiw 2838 val (tshape,sizes,body)=cleanIndex(e,index,sx)
67 : cchiw 2843 val id=length(params)
68 :     val Rparams=params@[E.TEN(1,sizes)]
69 :     val Re=E.Tensor(id,tshape)
70 : cchiw 2845 val M = DstV.new (genName (name^"_l_"^itos id), DstTy.TensorTy sizes)
71 : cchiw 2843 val Rargs=args@[M]
72 :     val einapp=cleanParams(M,body,Rparams,sizes,Rargs)
73 : cchiw 3166 val (_,einapp0)=einapp
74 :     val (Rargs,newbies,fieldset) =(case flag
75 :     of 1=> let
76 :     val (fieldset,var) = einSet.rtnVar(fieldset,M,einapp0)
77 :     in (case var
78 :     of NONE=> (args@[M],[einapp],fieldset)
79 :     | SOME v=> (incUse v ;(args@[v],[],fieldset))
80 :     (*end case*))
81 :     end
82 :     | _=>(args@[M],[einapp],fieldset)
83 :     (*end case*))
84 :     in
85 :     (Re,Rparams,Rargs,newbies,fieldset)
86 :     end
87 : cchiw 2838
88 : cchiw 3166
89 : cchiw 2838 (* isOp: ein->int
90 :     * checks to see if this sub-expression is pulled out or split form original
91 :     * 0-becomes zero,1-remains the same, 2-operator
92 :     *)
93 :     fun isOp e =(case e
94 :     of E.Field _ => 0
95 :     | E.Conv _ => 0
96 :     | E.Apply _ => 0
97 :     | E.Lift _ => 0
98 :     | E.Neg _ => 1
99 : cchiw 2870 | E.Sqrt _ => 1
100 : cchiw 3138 | E.Cosine _ => 1
101 :     | E.ArcCosine _ => 1
102 :     | E.Sine _ => 1
103 : cchiw 3166 | E.ArcSine _ => 1
104 : cchiw 3138 | E.PowInt _ => 1
105 :     | E.PowReal _ => 1
106 : cchiw 2838 | E.Add _ => 1
107 :     | E.Sub _ => 1
108 :     | E.Prod _ => 1
109 :     | E.Div _ => 1
110 :     | E.Sum _ => 1
111 :     | E.Probe _ => 1
112 :     | E.Partial _ => err(" Partial used after normalize")
113 :     | E.Krn _ => err("Krn used before expand")
114 :     | E.Value _ => err("Value used before expand")
115 :     | E.Img _ => err("Probe used before expand")
116 :     | _ => 2
117 :     (*end case*))
118 :    
119 : cchiw 3166
120 :    
121 :     fun rewriteOp3(name,sx,e1,x)=let
122 :     val ((y, DstIL.EINAPP(ein,args)),fieldset,flag)=x
123 :     val params=Ein.params ein
124 :     val index=Ein.index ein
125 :     in (case (isOp e1)
126 :     of 0 => (E.Const 0,params,args,[],fieldset)
127 :     | 1 => lift(name,e1,params,index,sx,args,fieldset,flag)
128 :     | 2 => (e1,params,args,[],fieldset)
129 :     (*end*))
130 :     end
131 :    
132 : cchiw 2843 (* rewriteOp:ein_exp*params*index*args-> ein_exp*params*args*code
133 : cchiw 3166 * If e1 an op then call lift() to replace it
134 :     *)
135 :     fun rewriteOp(name,e1,params,index,sx,args,fieldset,flag)=(case (isOp e1)
136 :     of 0 => (E.Const 0,params,args,[],fieldset)
137 :     | 1 => lift(name,e1,params,index,sx,args,fieldset,flag)
138 :     | 2 => (e1,params,args,[],fieldset) (*not lifted*)
139 : cchiw 2838 (*end*))
140 :    
141 : cchiw 3166
142 : cchiw 3017
143 : cchiw 3166
144 :     fun rewriteOps(name,list1,params,index,sx,args,fieldset0,flag)=let
145 :     fun m([],rest,params,args,code,fieldset)=(rest,params,args,code,fieldset)
146 :     | m(e1::es,rest,params,args,code,fieldset)=let
147 :    
148 :     val (e1',params',args',code',fieldset)= rewriteOp(name,e1,params,index,sx,args,fieldset,flag)
149 : cchiw 2838 in
150 : cchiw 3166 m(es,rest@[e1'],params',args',code@code',fieldset)
151 : cchiw 2838 end
152 :     in
153 : cchiw 3166 m(list1,[],params,args,[],fieldset0)
154 : cchiw 2838 end
155 : cchiw 3166
156 :    
157 : cchiw 2845 (*rewriteOrig: var* ein_exp* params*index list*mid-il vars
158 : cchiw 2843 When the operation is zero then we return a real.
159 : cchiw 2845 -Moved is Zero to before split.
160 : cchiw 2843 *)
161 : cchiw 3033 fun rewriteOrig(y,body,params,index,sx,args) =cleanParams(y,body,params,index,args)
162 : cchiw 2838
163 : cchiw 3166 fun rewriteOrig3(sx,body,params,args,x) =let
164 :     val ((y,DstIL.EINAPP(ein,_)),_,_)=x
165 :     val index=Ein.index ein
166 :     in cleanParams(y,body,params,index,args)
167 :     end
168 :    
169 : cchiw 2838 (* handleNeg:var*ein_exp *params*index*args-> (var*einap)*code
170 : cchiw 2843 * calls rewriteOp() lift on ein_exp
171 : cchiw 2838 *)
172 : cchiw 3166 fun handleNeg(e1,x)=let
173 :     val (e1',params',args',code,fieldset)= rewriteOp3("neg",[],e1,x)
174 :     val body' =E.Neg e1'
175 :     val einapp= rewriteOrig3([],body',params',args',x)
176 : cchiw 2845 in
177 : cchiw 3166 (einapp,code,fieldset)
178 : cchiw 2845 end
179 : cchiw 2838
180 : cchiw 2867 (* handleSqrt:var*ein_exp *params*index*args-> (var*einap)*code
181 :     * calls rewriteOp() lift on ein_exp
182 :     *)
183 : cchiw 3166 fun handleSqrt(y,e1,params,index,args,fieldset,flag)=let
184 :     val (e1',params',args',code,fieldset)= rewriteOp("sqrt", e1,params,index,[],args,fieldset,flag)
185 : cchiw 2867 val body =E.Sqrt e1'
186 :     val einapp= rewriteOrig(y,body,params',index,[],args')
187 :     in
188 : cchiw 3166 (einapp,code,fieldset)
189 : cchiw 2867 end
190 :    
191 :    
192 : cchiw 3138 (* handleCosine:var*ein_exp *params*index*args-> (var*einap)*code
193 :     * calls rewriteOp() lift on ein_exp
194 :     *)
195 : cchiw 3166 fun handleCosine(y,e1,params,index,args,fieldset,flag)=let
196 :     val (e1',params',args',code,fieldset)= rewriteOp("cosine", e1,params,index,[],args,fieldset,flag)
197 : cchiw 3138 val body =E.Cosine e1'
198 :     val einapp= rewriteOrig(y,body,params',index,[],args')
199 :     in
200 : cchiw 3166 (einapp,code,fieldset)
201 : cchiw 3138 end
202 :    
203 :     (* handleArcCosine:var*ein_exp *params*index*args-> (var*einap)*code
204 :     * calls rewriteOp() lift on ein_exp
205 :     *)
206 : cchiw 3166 fun handleArcCosine(y,e1,params,index,args,fieldset,flag)=let
207 :     val (e1',params',args',code,fieldset)= rewriteOp("ArcCosine", e1,params,index,[],args,fieldset,flag)
208 : cchiw 3138 val body =E.ArcCosine e1'
209 :     val einapp= rewriteOrig(y,body,params',index,[],args')
210 :     in
211 : cchiw 3166 (einapp,code,fieldset)
212 : cchiw 3138 end
213 :    
214 :     (* handleSine:var*ein_exp *params*index*args-> (var*einap)*code
215 :     * calls rewriteOp() lift on ein_exp
216 :     *)
217 : cchiw 3166 fun handleSine(y,e1,params,index,args,fieldset,flag)=let
218 :     val (e1',params',args',code,fieldset)= rewriteOp("sine", e1,params,index,[],args,fieldset,flag)
219 : cchiw 3138 val body =E.Sine e1'
220 :     val einapp= rewriteOrig(y,body,params',index,[],args')
221 :     in
222 : cchiw 3166 (einapp,code,fieldset)
223 : cchiw 3138 end
224 :    
225 :     (* handleSine:var*ein_exp *params*index*args-> (var*einap)*code
226 :     * calls rewriteOp() lift on ein_exp
227 :     *)
228 : cchiw 3166 fun handleArcSine(y,e1,params,index,args,fieldset,flag)=let
229 :     val (e1',params',args',code,fieldset)= rewriteOp("ArcSine", e1,params,index,[],args,fieldset,flag)
230 :     val body =E.ArcSine e1'
231 : cchiw 3033 val einapp= rewriteOrig(y,body,params',index,[],args')
232 :     in
233 : cchiw 3166 (einapp,code,fieldset)
234 : cchiw 3033 end
235 : cchiw 2870
236 :    
237 : cchiw 2838 (* handleSub:var*ein_exp*ein_exp *params*index*args-> (var*einap)*code
238 : cchiw 2843 * calls rewriteOps() lift on ein_exp
239 : cchiw 2838 *)
240 : cchiw 3166 fun handleSub(y,e1,e2,params,index,args,fieldset,flag)=let
241 :     val ([e1',e2'],params',args',code,fieldset)= rewriteOps("subt",[e1,e2],params,index,[],args,fieldset,flag)
242 : cchiw 2838 val body =E.Sub(e1',e2')
243 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
244 :     in
245 : cchiw 3166 (einapp,code,fieldset)
246 : cchiw 2845 end
247 : cchiw 2838
248 :     (* handleDiv:var*ein_exp *ein_exp*params*index*args-> (var*einap)*code
249 : cchiw 2843 * calls rewriteOp() lift on ein_exp
250 : cchiw 2838 *)
251 : cchiw 3166 fun handleDiv(y,e1,e2,params,index,args,fieldset,flag)=let
252 :     val (e1',params1',args1',code1',fieldset)=rewriteOp("div-num",e1,params,index,[],args,fieldset,flag)
253 :     val (e2',params2',args2',code2',fieldset)=rewriteOp("div-denom",e2,params1',index,[],args1',fieldset,flag)
254 : cchiw 2838 val body =E.Div(e1',e2')
255 : cchiw 2845 val einapp= rewriteOrig(y,body,params2',index,[],args2')
256 :     in
257 : cchiw 3166 (einapp,code1'@code2',fieldset)
258 : cchiw 2845 end
259 : cchiw 2838
260 :     (* handleAdd:var*ein_exp list *params*index*args-> (var*einap)*code
261 : cchiw 2843 * calls rewriteOps() lift on ein_exp
262 : cchiw 2838 *)
263 : cchiw 3193 fun handleAdd(y,e1 as [_,_,_,_],params,index,args,fieldset,flag)=let
264 : cchiw 3030
265 : cchiw 3193 val (e1',params',args',code,fieldset)= rewriteOps("add",e1,params,index,[],args,fieldset,flag)
266 :     fun pb es=String.concatWith "\n\n\t-*-" (List.map P.printbody es)
267 : cchiw 3194 (*)val _ =print("\n****Inside Add:"^Int.toString(length index)^"\n -"^ pb e1 ^"----- newbies\n-"^ pb e1')*)
268 : cchiw 3193
269 :     val body =E.Add e1'
270 :     val einapp= rewriteOrig(y,body,params',index,[],args')
271 :     in
272 :     (einapp,code,fieldset)
273 :     end
274 :     | handleAdd(y,e1,params,index,args,fieldset,flag)=let
275 :    
276 : cchiw 3166 val (e1',params',args',code,fieldset)= rewriteOps("add",e1,params,index,[],args,fieldset,flag)
277 : cchiw 3193 fun pb es=String.concatWith "\n-" (List.map P.printbody es)
278 :    
279 :    
280 : cchiw 2838 val body =E.Add e1'
281 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
282 :     in
283 : cchiw 3166 (einapp,code,fieldset)
284 : cchiw 2845 end
285 : cchiw 2838
286 :     (* handleProd:var*ein_exp list*params*index*args-> (var*einap)*code
287 : cchiw 2843 * calls rewriteOps() lift on ein_exp
288 : cchiw 2838 *)
289 : cchiw 3166 fun handleProd(y,e1,params,index,args,fieldset,flag)=let
290 :     val (e1',params',args',code,fieldset)= rewriteOps("prod",e1,params,index,[],args,fieldset,flag)
291 : cchiw 2838 val body =E.Prod e1'
292 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
293 :     in
294 : cchiw 3166 (einapp,code,fieldset)
295 : cchiw 2845 end
296 : cchiw 2838
297 :     (* handleSumProd:var*ein_exp *params*index*args-> (var*einap)*code
298 : cchiw 2843 * calls rewriteOps() lift on ein_exp
299 : cchiw 2838 *)
300 : cchiw 3166 fun handleSumProd(y,e1,params,index,sx,args,fieldset,flag)=let
301 :     val (e1',params',args',code,fieldset)= rewriteOps("sumprod",e1,params,index,sx,args,fieldset,flag)
302 : cchiw 2838 val body= E.Sum(sx,E.Prod e1')
303 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,sx,args')
304 :     in
305 : cchiw 3166 (einapp,code,fieldset)
306 : cchiw 2845 end
307 : cchiw 2838
308 :     (* split:var*ein_app-> (var*einap)*code
309 :     * split ein expression into smaller pieces
310 : cchiw 2843 note we leave summation around probe exp
311 : cchiw 2838 *)
312 : cchiw 3166 fun split((y,einapp as DstIL.EINAPP(Ein.EIN{params, index, body},args)),fieldset,flag) =let
313 :     val x= ((y,einapp),fieldset,flag)
314 :     val zero= (setEinZero y,[],fieldset)
315 :     val default=((y,einapp),[],fieldset)
316 : cchiw 2838 val sumIndex=ref []
317 : cchiw 2867 val str="Poorly formed EIN operator. Argument needs to be applied in High-IL"^(P.printbody body)
318 : cchiw 3017 val _=testp["\n\nStarting split",P.printbody body]
319 :     fun rewrite b=(case b
320 : cchiw 3229 of E.Probe(E.Conv _,_) => default
321 : cchiw 2870 | E.Probe(E.Field _,_) => raise Fail str
322 : cchiw 2847 | E.Probe _ => raise Fail str
323 : cchiw 3229 | E.Conv _ => raise Fail "should have been swept"
324 :     | E.Field _ => raise Fail "should have been swept"
325 :     | E.Apply _ => raise Fail "should have been swept"
326 :     | E.Lift e => raise Fail "should have been swept"
327 : cchiw 2838 | E.Delta _ => default
328 :     | E.Epsilon _ => default
329 : cchiw 2843 | E.Eps2 _ => default
330 : cchiw 2838 | E.Tensor _ => default
331 :     | E.Const _ => default
332 : cchiw 2923 | E.ConstR _ => default
333 : cchiw 3166 | E.Neg e1 => handleNeg(e1,x)
334 :     | E.Sqrt e1 => handleSqrt(y,e1,params,index,args,fieldset,flag)
335 :     | E.Cosine e1 => handleCosine(y,e1,params,index,args,fieldset,flag)
336 :     | E.ArcCosine e1 => handleArcCosine(y,e1,params,index,args,fieldset,flag)
337 :     | E.Sine e1 => handleSine(y,e1,params,index,args,fieldset,flag)
338 :     | E.ArcSine e1 => handleArcSine(y,e1,params,index,args,fieldset,flag)
339 :     | E.PowInt e1 => err(" PowInt unsupported")
340 :     | E.PowReal e1 => err(" PowReal unsupported")
341 :     | E.Sub (e1,e2) => handleSub(y,e1,e2,params,index,args,fieldset,flag)
342 :     | E.Div (e1,e2) => handleDiv(y,e1,e2,params,index,args,fieldset,flag)
343 : cchiw 3189 (*
344 : cchiw 2847 | E.Sum(_,E.Prod[E.Eps2 _, E.Probe(E.Conv _,_) ]) => default
345 :     | E.Sum(_,E.Prod[E.Epsilon _, E.Probe(E.Conv _,_) ]) => default
346 : cchiw 3189 *)
347 : cchiw 2847 | E.Sum(_,E.Probe(E.Conv _,_)) => default
348 : cchiw 3166 | E.Sum(sx,E.Prod e1) => handleSumProd(y,e1,params,index,sx,args,fieldset,flag)
349 :     | E.Sum(sx,E.Delta d) => handleSumProd(y,[E.Delta d],params,index,sx,args,fieldset,flag)
350 : cchiw 3194 | E.Sum(sx,E.Tensor _) => default
351 : cchiw 3033 | E.Sum(sx,_) => err(" summation not distributed:"^str)
352 : cchiw 3166 | E.Add e1 => handleAdd(y,e1,params,index,args,fieldset,flag)
353 :     | E.Prod e1 => handleProd(y,e1,params,index,args,fieldset,flag)
354 : cchiw 2838 | E.Partial _ => err(" Partial used after normalize")
355 :     | E.Krn _ => err("Krn used before expand")
356 :     | E.Value _ => err("Value used before expand")
357 :     | E.Img _ => err("Probe used before expand")
358 :     (*end case *))
359 : cchiw 3166 val (einapp2,newbies,fieldset) =rewrite body
360 : cchiw 2838 in
361 : cchiw 3166 ((einapp2,newbies),fieldset)
362 : cchiw 2838 end
363 : cchiw 3166 |split((y,app),fieldset,_) =(((y,app),[]),fieldset)
364 : cchiw 2923
365 : cchiw 3166
366 :     fun iterMultiple(einapp2,newbies2,fieldset)=let
367 : cchiw 3017 fun itercode([],rest,code,_)=(rest,code)
368 : cchiw 3166 | itercode(e1::newbies,rest,code,cnt)=let
369 :     val ((einapp3,code3),_) = split(e1,fieldset,numFlag)
370 :     val (rest4,code4)=itercode(code3,[],[],cnt+1)
371 :     in
372 :     itercode(newbies,rest@[einapp3],code4@( rest4)@code,cnt+2)
373 :     end
374 :     val(rest,code)= itercode(newbies2,[],[],1)
375 :     in
376 :     ((code)@rest@[einapp2])
377 :     end
378 :    
379 :    
380 :     fun iterAll(einapp2,fieldset)=let
381 :     fun itercode([],rest,code,_)=(rest,code)
382 : cchiw 3017 | itercode(e1::newbies,rest,code,cnt)=let
383 : cchiw 3166 val ((einapp3,code3),_) = split(e1,fieldset,numFlag)
384 : cchiw 3017 val (rest4,code4)=itercode(code3,[],[],cnt+1)
385 : cchiw 3194 val _ =testp [printEINAPP(e1),"\n\t===>\n",printEINAPP(einapp3),"\nand\n",(String.concatWith",\n\t"(List.map printEINAPP (code4@rest4)))]
386 : cchiw 3166 in
387 :     itercode(newbies,rest@[einapp3],code4@( rest4)@code,cnt+2)
388 : cchiw 2838 end
389 : cchiw 3166 val(rest,code)= itercode(einapp2,[],[],0)
390 : cchiw 2838 in
391 : cchiw 3166 (code@rest)
392 : cchiw 2838 end
393 :    
394 : cchiw 3166 fun splitEinApp einapp3= let
395 :     val fieldset= einSet.EinSet.empty
396 : cchiw 3017
397 : cchiw 3166 (* **** split in parts **** *)
398 :     (*
399 :     val ((einapp4,newbies4),fieldset)=split(einapp3,fieldset,0)
400 :     val _ =testp["\n\t===>\n",printEINAPP(einapp4),"\nand\n",(String.concatWith",\n\t"(List.map printEINAPP newbies4))]
401 :     val (newbies5)= iterMultiple(einapp4,newbies4,fieldset)
402 :     *)
403 :    
404 :     (* **** split all at once **** *)
405 :     val (newbies5)= iterAll([einapp3],fieldset)
406 :    
407 :     in
408 :     newbies5
409 :     end
410 :    
411 :    
412 : cchiw 2838 end; (* local *)
413 :    
414 :     end (* local *)

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