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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 :     structure P=Printer
28 :     structure cleanP=cleanParams
29 :     structure cleanI=cleanIndex
30 : cchiw 2845 structure handleE=handleEin
31 : cchiw 2838
32 :     in
33 :    
34 : cchiw 2847 val testing=0
35 : cchiw 2838 fun setEin(params,index,body)=Ein.EIN{params=params, index=index, body=body}
36 :     fun assignEinApp(y,params,index,body,args)= (y,DstIL.EINAPP(setEin(params,index,body),args))
37 : cchiw 2843 val einappzero=DstIL.EINAPP(setEin([],[],E.Const 0),[])
38 :     fun setEinZero y= (y,einappzero)
39 : cchiw 2838 fun cleanParams e =cleanP.cleanParams e
40 :     fun cleanIndex e =cleanI.cleanIndex e
41 : cchiw 2845 fun printEINAPP e=MidToString.printEINAPP e
42 :     fun isZero e=handleE.isZero e
43 : cchiw 2870 fun sweep e=handleE.sweep 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 :     fun genName prefix = let
49 :     val n = !cnt
50 :     in
51 :     cnt := n+1;
52 :     String.concat[prefix, "_", Int.toString n]
53 :     end
54 :     fun testp n=(case testing
55 :     of 0=> 1
56 :     | _ =>(print(String.concat n);1)
57 :     (*end case*))
58 :    
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 2845 fun lift(name,e,params,index,sx,args)=let
66 : cchiw 2867
67 : cchiw 2838 val (tshape,sizes,body)=cleanIndex(e,index,sx)
68 : cchiw 2843 val id=length(params)
69 :     val Rparams=params@[E.TEN(1,sizes)]
70 :     val Re=E.Tensor(id,tshape)
71 : cchiw 2845 val M = DstV.new (genName (name^"_l_"^itos id), DstTy.TensorTy sizes)
72 : cchiw 2843 val Rargs=args@[M]
73 :     val einapp=cleanParams(M,body,Rparams,sizes,Rargs)
74 :    
75 : cchiw 2838 in
76 : cchiw 2843 (Re,Rparams,Rargs,[einapp])
77 : cchiw 2838 end
78 :    
79 :     (* isOp: ein->int
80 :     * checks to see if this sub-expression is pulled out or split form original
81 :     * 0-becomes zero,1-remains the same, 2-operator
82 :     *)
83 :     fun isOp e =(case e
84 :     of E.Field _ => 0
85 :     | E.Conv _ => 0
86 :     | E.Apply _ => 0
87 :     | E.Lift _ => 0
88 :     | E.Neg _ => 1
89 : cchiw 2870 | E.Sqrt _ => 1
90 : cchiw 2923 | E.PowInt _ => 1
91 :     | E.PowReal _ => 1
92 : cchiw 2838 | E.Add _ => 1
93 :     | E.Sub _ => 1
94 :     | E.Prod _ => 1
95 :     | E.Div _ => 1
96 :     | E.Sum _ => 1
97 :     | E.Probe _ => 1
98 :     | E.Partial _ => err(" Partial used after normalize")
99 :     | E.Krn _ => err("Krn used before expand")
100 :     | E.Value _ => err("Value used before expand")
101 :     | E.Img _ => err("Probe used before expand")
102 :     | _ => 2
103 :     (*end case*))
104 :    
105 : cchiw 2843 (* rewriteOp:ein_exp*params*index*args-> ein_exp*params*args*code
106 :     * If e1 an op then call lift() to replace it
107 : cchiw 2838 * Otherwise rewrite to 0 or it remains the same
108 :     *)
109 : cchiw 2845 fun rewriteOp(name,e1,params,index,sx,args)=(case (isOp e1)
110 : cchiw 2838 of 0 => (E.Const 0,params,args,[])
111 :     | 2 => (e1,params,args,[])
112 : cchiw 2867 | _ => lift(name,e1,params,index,sx,args)
113 : cchiw 2838 (*end*))
114 :    
115 : cchiw 2843 (* rewriteOps:ein_exp list*params*index*sum_id list*mid-il vars
116 :     -> ein_exp list*params*args*code
117 :     * calls rewriteOp on ein_exp list
118 : cchiw 2838 *)
119 : cchiw 2845 fun rewriteOps(name,list1,params,index,sx,args)=let
120 : cchiw 2838 fun m([],rest,params,args,code)=(rest,params,args,code)
121 :     | m(e1::es,rest,params,args,code)=let
122 : cchiw 3017
123 : cchiw 2845 val (e1',params',args',code')= rewriteOp(name,e1,params,index,sx,args)
124 : cchiw 2838 in
125 :     m(es,rest@[e1'],params',args',code@code')
126 :     end
127 :     in
128 :     m(list1,[],params,args,[])
129 :     end
130 : cchiw 2843
131 : cchiw 2845 (*rewriteOrig: var* ein_exp* params*index list*mid-il vars
132 : cchiw 2843 When the operation is zero then we return a real.
133 : cchiw 2845 -Moved is Zero to before split.
134 : cchiw 2843 *)
135 : cchiw 2845 fun rewriteOrig(y,body,params,index,sx,args) =(case (isZero body)
136 :     of 1=> setEinZero y
137 : cchiw 2843 | _ => cleanParams(y,body,params,index,args)
138 : cchiw 2845 (*end case*))
139 : cchiw 2838
140 :     (* handleNeg:var*ein_exp *params*index*args-> (var*einap)*code
141 : cchiw 2843 * calls rewriteOp() lift on ein_exp
142 : cchiw 2838 *)
143 :     fun handleNeg(y,e1,params,index,args)=let
144 : cchiw 2922 val (e1',params',args',code)= rewriteOp("neg", e1,params,index,[],args)
145 : cchiw 2838 val body =E.Neg e1'
146 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
147 :     in
148 :     (einapp,code)
149 :     end
150 : cchiw 2838
151 : cchiw 2867 (* handleSqrt:var*ein_exp *params*index*args-> (var*einap)*code
152 :     * calls rewriteOp() lift on ein_exp
153 :     *)
154 :     fun handleSqrt(y,e1,params,index,args)=let
155 : cchiw 2922 val (e1',params',args',code)= rewriteOp("sqrt", e1,params,index,[],args)
156 : cchiw 2867 val body =E.Sqrt e1'
157 :     val einapp= rewriteOrig(y,body,params',index,[],args')
158 :     in
159 :     (einapp,code)
160 :     end
161 :    
162 :    
163 : cchiw 2870 (* handlePowInt:var*ein_exp *params*index*args-> (var*einap)*code
164 :     * calls rewriteOp() lift on ein_exp
165 :     *)
166 :     fun handlePowInt(y,(e1,n1),params,index,args)=let
167 : cchiw 2922 val (e1',params',args',code)= rewriteOp("powint", e1,params,index,[],args)
168 : cchiw 2870 val body =E.PowInt(e1',n1)
169 :     val einapp= rewriteOrig(y,body,params',index,[],args')
170 :     in
171 :     (einapp,code)
172 :     end
173 :    
174 :    
175 : cchiw 2922 (* handlePowReal:var*ein_exp *params*index*args-> (var*einap)*code
176 :     * calls rewriteOp() lift on ein_exp
177 :     *)
178 :     fun handlePowReal(y,(e1,n1),params,index,args)=let
179 :     val (e1',params',args',code)= rewriteOp("powreal", e1,params,index,[],args)
180 :     val body =E.PowReal(e1',n1)
181 :     val einapp= rewriteOrig(y,body,params',index,[],args')
182 :     in
183 :     (einapp,code)
184 :     end
185 : cchiw 2870
186 :    
187 : cchiw 2838 (* handleSub:var*ein_exp*ein_exp *params*index*args-> (var*einap)*code
188 : cchiw 2843 * calls rewriteOps() lift on ein_exp
189 : cchiw 2838 *)
190 :     fun handleSub(y,e1,e2,params,index,args)=let
191 : cchiw 2922 val ([e1',e2'],params',args',code)= rewriteOps("subt",[e1,e2],params,index,[],args)
192 : cchiw 2838 val body =E.Sub(e1',e2')
193 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
194 :     in
195 :     (einapp,code)
196 :     end
197 : cchiw 2838
198 :     (* handleDiv:var*ein_exp *ein_exp*params*index*args-> (var*einap)*code
199 : cchiw 2843 * calls rewriteOp() lift on ein_exp
200 : cchiw 2838 *)
201 :     fun handleDiv(y,e1,e2,params,index,args)=let
202 : cchiw 2923 val (e1',params1',args1',code1')=rewriteOp("div-num",e1,params,index,[],args)
203 :     val (e2',params2',args2',code2')=rewriteOp("div-denom",e2,params1',index,[],args1')
204 :     (*val (e2',params2',args2',code2')=rewriteOp("div-denom",e2,params1',[],[],args1')*)
205 : cchiw 2838 val body =E.Div(e1',e2')
206 : cchiw 2845 val einapp= rewriteOrig(y,body,params2',index,[],args2')
207 :     in
208 :     (einapp,code1'@code2')
209 :     end
210 : cchiw 2838
211 :     (* handleAdd:var*ein_exp list *params*index*args-> (var*einap)*code
212 : cchiw 2843 * calls rewriteOps() lift on ein_exp
213 : cchiw 2838 *)
214 :     fun handleAdd(y,e1,params,index,args)=let
215 : cchiw 2922 val (e1',params',args',code)= rewriteOps("add",e1,params,index,[],args)
216 : cchiw 2838 val body =E.Add e1'
217 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
218 :     in
219 :     (einapp,code)
220 :     end
221 : cchiw 2838
222 :     (* handleProd:var*ein_exp list*params*index*args-> (var*einap)*code
223 : cchiw 2843 * calls rewriteOps() lift on ein_exp
224 : cchiw 2838 *)
225 :     fun handleProd(y,e1,params,index,args)=let
226 : cchiw 2922 val (e1',params',args',code)= rewriteOps("prod",e1,params,index,[],args)
227 : cchiw 2838 val body =E.Prod e1'
228 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
229 :     in
230 :     (einapp,code)
231 :     end
232 : cchiw 2838
233 :     (* handleSumProd:var*ein_exp *params*index*args-> (var*einap)*code
234 : cchiw 2843 * calls rewriteOps() lift on ein_exp
235 : cchiw 2838 *)
236 :     fun handleSumProd(y,e1,params,index,sx,args)=let
237 : cchiw 2922 val (e1',params',args',code)= rewriteOps("sumprod",e1,params,index,sx,args)
238 : cchiw 2838 val body= E.Sum(sx,E.Prod e1')
239 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,sx,args')
240 :     in
241 :     (einapp,code)
242 :     end
243 : cchiw 2838
244 :     (* split:var*ein_app-> (var*einap)*code
245 :     * split ein expression into smaller pieces
246 : cchiw 2843 note we leave summation around probe exp
247 : cchiw 2838 *)
248 :     fun split(y,einapp as DstIL.EINAPP(Ein.EIN{params, index, body},args))=let
249 : cchiw 2843 val zero= (setEinZero y,[])
250 : cchiw 2838 val default=((y,einapp),[])
251 :     val sumIndex=ref []
252 : cchiw 2867 val str="Poorly formed EIN operator. Argument needs to be applied in High-IL"^(P.printbody body)
253 : cchiw 3017 val _=testp["\n\nStarting split",P.printbody body]
254 :     fun rewrite b=(case b
255 : cchiw 2847 of E.Probe (E.Conv _,_) => default
256 : cchiw 2870 | E.Probe(E.Field _,_) => raise Fail str
257 : cchiw 2847 | E.Probe _ => raise Fail str
258 : cchiw 2838 | E.Conv _ => zero
259 :     | E.Field _ => zero
260 :     | E.Apply _ => zero
261 :     | E.Lift e => zero
262 :     | E.Delta _ => default
263 :     | E.Epsilon _ => default
264 : cchiw 2843 | E.Eps2 _ => default
265 : cchiw 2838 | E.Tensor _ => default
266 :     | E.Const _ => default
267 : cchiw 2923 | E.ConstR _ => default
268 : cchiw 2838 | E.Neg e1 => handleNeg(y,e1,params,index,args)
269 : cchiw 2867 | E.Sqrt e1 => handleSqrt(y,e1,params,index,args)
270 : cchiw 2923 | E.PowInt e1 => handlePowInt(y,e1,params,index,args)
271 :     | E.PowReal e1 => handlePowReal(y,e1,params,index,args)
272 : cchiw 2838 | E.Sub (e1,e2) => handleSub(y,e1,e2,params,index,args)
273 :     | E.Div (e1,e2) => handleDiv(y,e1,e2,params,index,args)
274 : cchiw 2923 | E.Sum(sx,E.Tensor(id,[]))=> rewrite (E.Tensor(id,[]))
275 :     | E.Sum(sx,E.Const c) =>rewrite ( E.Const c )
276 :     | E.Sum(sx,E.ConstR r) => rewrite (E.ConstR r)
277 : cchiw 2922 | E.Sum(sx,E.Neg n) => rewrite (E.Neg(E.Sum(sx,n)))
278 :     | E.Sum(sx,E.Add a) => rewrite (E.Add(List.map (fn e=> E.Sum(sx,e)) a))
279 :     | E.Sum(sx,E.Sub (e1,e2)) => rewrite (E.Sub(E.Sum(sx,e1),E.Sum(sx,e2)))
280 : cchiw 3017 | E.Sum(sx,E.Div(e1,e2)) => rewrite (E.Sum(sx,E.Prod[e1,E.Div(E.Const 1,e2)]))
281 : cchiw 2922 | E.Sum(sx,E.Lift e ) => rewrite (E.Lift(E.Sum(sx,e)))
282 :     | E.Sum(sx,E.PowReal(e,n1)) => rewrite (E.PowReal(E.Sum(sx,e),n1))
283 :     | E.Sum(sx,E.Sqrt e) => rewrite (E.Sqrt(E.Sum(sx,e)))
284 :     | E.Sum(c1,E.Sum (c2,e)) => rewrite (E.Sum (c1@c2,e))
285 : cchiw 2847 | E.Sum(_,E.Prod[E.Eps2 _, E.Probe(E.Conv _,_) ]) => default
286 :     | E.Sum(_,E.Prod[E.Epsilon _, E.Probe(E.Conv _,_) ]) => default
287 :     | E.Sum(_,E.Probe(E.Conv _,_)) => default
288 : cchiw 2838 | E.Sum(_,E.Conv _) => zero
289 :     | E.Sum(sx,E.Prod e1) => handleSumProd(y,e1,params,index,sx,args)
290 :     | E.Sum(sx,_) => default
291 :     | E.Add e1 => handleAdd(y,e1,params,index,args)
292 :     | E.Prod e1 => handleProd(y,e1,params,index,args)
293 :     | E.Partial _ => err(" Partial used after normalize")
294 :     | E.Krn _ => err("Krn used before expand")
295 :     | E.Value _ => err("Value used before expand")
296 :     | E.Img _ => err("Probe used before expand")
297 :     (*end case *))
298 :     val (einapp2,newbies) =rewrite body
299 :     in
300 :     (einapp2,newbies)
301 :     end
302 :     |split(y,app) =((y,app),[])
303 : cchiw 2923
304 :    
305 :     (*Distribute summation if needed*)
306 :     fun distributeSummation(y,einapp as DstIL.EINAPP(Ein.EIN{params, index, body},args))=let
307 : cchiw 3017 fun rewrite b=(case b
308 : cchiw 2923 of E.Sum(sx,E.Tensor(id,[])) => E.Tensor(id,[])
309 :     | E.Sum(sx,E.Const c) => E.Const c
310 :     | E.Sum(sx,E.ConstR r) => E.ConstR r
311 :     | E.Sum(sx,E.Neg n) => rewrite(E.Neg(E.Sum(sx,n)))
312 :     | E.Sum(sx,E.Add a) => rewrite(E.Add(List.map (fn e=> E.Sum(sx,e)) a))
313 :     | E.Sum(sx,E.Sub (e1,e2)) => rewrite(E.Sub(E.Sum(sx,e1),E.Sum(sx,e2)))
314 : cchiw 3017 (* | E.Sum(sx,E.Div(e1,e2)) => rewrite( E.Div(E.Sum(sx,e1),E.Sum(sx,e2)))*)
315 : cchiw 2923 | E.Sum(sx,E.Lift e ) => rewrite (E.Lift(E.Sum(sx,e)))
316 :     | E.Sum(sx,E.PowReal(e,n1)) => rewrite(E.PowReal(E.Sum(sx,e),n1))
317 :     | E.Sum(sx,E.Sqrt e) => rewrite(E.Sqrt(E.Sum(sx,e)))
318 :     | E.Sum(sx,E.Sum (c2,e)) => rewrite (E.Sum (sx@c2,e))
319 :     | E.Sum(sx,E.Prod p) => let
320 :     val (c,e)=filterSca(sx,p)
321 : cchiw 3017 in e end
322 : cchiw 2923 | E.Div(e1,e2) => E.Div(rewrite e1, rewrite e2)
323 :     | E.Sub(e1,e2) => E.Sub(rewrite e1, rewrite e2)
324 :     | E.Add es => E.Add(List.map rewrite es)
325 :     | E.Prod es => E.Prod(List.map rewrite es)
326 :     | E.Neg e => E.Neg(rewrite e)
327 :     | E.Sqrt e => E.Sqrt(rewrite e)
328 :     | _ => b
329 :     (*end case*))
330 :     val body =rewrite body
331 : cchiw 3017 val _ =testp["\nAfter distributeSummation \n",P.printbody body]
332 : cchiw 2923 val ein=SummationEin.cleanSummation(Ein.EIN{params=params, index=index, body=body})
333 :     val einapp2= (y,DstIL.EINAPP(ein,args))
334 :     in
335 :     split(einapp2)
336 :     end
337 :     |distributeSummation(y,app) =((y,app),[])
338 :    
339 :    
340 :    
341 : cchiw 2838 (* iterMultiple:code*code=> (code*code)
342 :     * recursively split ein expression into smaller pieces
343 :     *)
344 :     fun iterMultiple(einapp2,newbies2)=let
345 : cchiw 3017 fun itercode([],rest,code,_)=(rest,code)
346 :     | itercode(e1::newbies,rest,code,cnt)=let
347 :     val _ =testp["\n\n******* split term **",Int.toString cnt," *****","\n \n",printEINAPP(e1),"\n=>\n"]
348 :     val (einapp3,code3) = distributeSummation e1
349 :     val _ =testp["\n\t===>\n",printEINAPP(einapp3),"\nand\n",(String.concatWith",\n\t"(List.map printEINAPP code3))]
350 :     val (rest4,code4)=itercode(code3,[],[],cnt+1)
351 :     in itercode(newbies,rest@[einapp3],code4@rest4@code,cnt+2)
352 : cchiw 2838 end
353 : cchiw 3017 val(rest,code)= itercode(newbies2,[],[],1)
354 : cchiw 2838 in
355 :     (einapp2,code@rest)
356 :     end
357 :    
358 : cchiw 2843 fun iterSplit(y,einapp as DstIL.EINAPP(Ein.EIN{params, index, body},args))=let
359 : cchiw 2923 val bodysweep=handleE.sweep body
360 : cchiw 3017 val _=testp["\nPresweep\n",P.printbody body,"\n\n Sweep\n",P.printbody bodysweep,"\n"]
361 : cchiw 2923 val ein=SummationEin.cleanSummation(Ein.EIN{params=params, index=index, body=bodysweep})
362 :     val _=testp["\n\n Clean Summation\n",P.printbody(Ein.body ein),"\n"]
363 :     val einapp2=(y,DstIL.EINAPP(ein, args))
364 : cchiw 3017 val _ =testp["\n\n******* split term **",Int.toString (0)," ***** \n \t==>\n",printEINAPP(einapp2)]
365 : cchiw 2923 val (einapp3,newbies2)=distributeSummation einapp2
366 : cchiw 3017 val _ =testp["\n\t===>\n",printEINAPP(einapp3),"\nand\n",(String.concatWith",\n\t"(List.map printEINAPP newbies2))]
367 :    
368 : cchiw 2838 in
369 : cchiw 2870 iterMultiple(einapp3,newbies2)
370 : cchiw 2838 end
371 :    
372 :     (* gettest:code*code=> (code*code)
373 :     * print results for splitting einapp
374 :     *)
375 : cchiw 2845 fun gettest einapp=(case testing
376 : cchiw 2838 of 0=>iterSplit(einapp)
377 :     | _=>let
378 : cchiw 3017 val star="\n************* SPLIT INITIAL********\n"
379 : cchiw 2923 val _ =testp[star,"\n","start get test",printEINAPP einapp]
380 : cchiw 2838 val (einapp2,newbies)=iterSplit(einapp)
381 : cchiw 2923 val _ =testp["\n\n Returning \n\n =>",printEINAPP einapp2,
382 :     " newbies\n\t",String.concatWith",\n\t"(List.map printEINAPP newbies), "\n",star]
383 : cchiw 2838 in
384 :     (einapp2,newbies)
385 :     end
386 :     (*end case*))
387 :    
388 :     end; (* local *)
389 :    
390 :     end (* local *)

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