Home My Page Projects Code Snippets Project Openings diderot
Summary Activity Tracker Tasks SCM

SCM Repository

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

Annotation of /branches/charisee/src/compiler/high-to-mid/split.sml

Parent Directory Parent Directory | Revision Log Revision Log


Revision 2923 - (view) (download)

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 2845 val (e1',params',args',code')= rewriteOp(name,e1,params,index,sx,args)
123 : cchiw 2838 in
124 :     m(es,rest@[e1'],params',args',code@code')
125 :     end
126 :     in
127 :     m(list1,[],params,args,[])
128 :     end
129 : cchiw 2843
130 : cchiw 2845 (*rewriteOrig: var* ein_exp* params*index list*mid-il vars
131 : cchiw 2843 When the operation is zero then we return a real.
132 : cchiw 2845 -Moved is Zero to before split.
133 : cchiw 2843 *)
134 : cchiw 2845 fun rewriteOrig(y,body,params,index,sx,args) =(case (isZero body)
135 :     of 1=> setEinZero y
136 : cchiw 2843 | _ => cleanParams(y,body,params,index,args)
137 : cchiw 2845 (*end case*))
138 : cchiw 2838
139 :     (* handleNeg:var*ein_exp *params*index*args-> (var*einap)*code
140 : cchiw 2843 * calls rewriteOp() lift on ein_exp
141 : cchiw 2838 *)
142 :     fun handleNeg(y,e1,params,index,args)=let
143 : cchiw 2922 val (e1',params',args',code)= rewriteOp("neg", e1,params,index,[],args)
144 : cchiw 2838 val body =E.Neg e1'
145 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
146 :     in
147 :     (einapp,code)
148 :     end
149 : cchiw 2838
150 : cchiw 2867 (* handleSqrt:var*ein_exp *params*index*args-> (var*einap)*code
151 :     * calls rewriteOp() lift on ein_exp
152 :     *)
153 :     fun handleSqrt(y,e1,params,index,args)=let
154 : cchiw 2922 val (e1',params',args',code)= rewriteOp("sqrt", e1,params,index,[],args)
155 : cchiw 2867 val body =E.Sqrt e1'
156 :     val einapp= rewriteOrig(y,body,params',index,[],args')
157 :     in
158 :     (einapp,code)
159 :     end
160 :    
161 :    
162 : cchiw 2870 (* handlePowInt:var*ein_exp *params*index*args-> (var*einap)*code
163 :     * calls rewriteOp() lift on ein_exp
164 :     *)
165 :     fun handlePowInt(y,(e1,n1),params,index,args)=let
166 : cchiw 2922 val (e1',params',args',code)= rewriteOp("powint", e1,params,index,[],args)
167 : cchiw 2870 val body =E.PowInt(e1',n1)
168 :     val einapp= rewriteOrig(y,body,params',index,[],args')
169 :     in
170 :     (einapp,code)
171 :     end
172 :    
173 :    
174 : cchiw 2922 (* handlePowReal:var*ein_exp *params*index*args-> (var*einap)*code
175 :     * calls rewriteOp() lift on ein_exp
176 :     *)
177 :     fun handlePowReal(y,(e1,n1),params,index,args)=let
178 :     val (e1',params',args',code)= rewriteOp("powreal", e1,params,index,[],args)
179 :     val body =E.PowReal(e1',n1)
180 :     val einapp= rewriteOrig(y,body,params',index,[],args')
181 :     in
182 :     (einapp,code)
183 :     end
184 : cchiw 2870
185 :    
186 : cchiw 2838 (* handleSub:var*ein_exp*ein_exp *params*index*args-> (var*einap)*code
187 : cchiw 2843 * calls rewriteOps() lift on ein_exp
188 : cchiw 2838 *)
189 :     fun handleSub(y,e1,e2,params,index,args)=let
190 : cchiw 2922 val ([e1',e2'],params',args',code)= rewriteOps("subt",[e1,e2],params,index,[],args)
191 : cchiw 2838 val body =E.Sub(e1',e2')
192 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
193 :     in
194 :     (einapp,code)
195 :     end
196 : cchiw 2838
197 :     (* handleDiv:var*ein_exp *ein_exp*params*index*args-> (var*einap)*code
198 : cchiw 2843 * calls rewriteOp() lift on ein_exp
199 : cchiw 2838 *)
200 :     fun handleDiv(y,e1,e2,params,index,args)=let
201 : cchiw 2923 val (e1',params1',args1',code1')=rewriteOp("div-num",e1,params,index,[],args)
202 :     val (e2',params2',args2',code2')=rewriteOp("div-denom",e2,params1',index,[],args1')
203 :     (*val (e2',params2',args2',code2')=rewriteOp("div-denom",e2,params1',[],[],args1')*)
204 : cchiw 2838 val body =E.Div(e1',e2')
205 : cchiw 2845 val einapp= rewriteOrig(y,body,params2',index,[],args2')
206 :     in
207 :     (einapp,code1'@code2')
208 :     end
209 : cchiw 2838
210 :     (* handleAdd:var*ein_exp list *params*index*args-> (var*einap)*code
211 : cchiw 2843 * calls rewriteOps() lift on ein_exp
212 : cchiw 2838 *)
213 :     fun handleAdd(y,e1,params,index,args)=let
214 : cchiw 2922 val (e1',params',args',code)= rewriteOps("add",e1,params,index,[],args)
215 : cchiw 2838 val body =E.Add e1'
216 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
217 :     in
218 :     (einapp,code)
219 :     end
220 : cchiw 2838
221 :     (* handleProd:var*ein_exp list*params*index*args-> (var*einap)*code
222 : cchiw 2843 * calls rewriteOps() lift on ein_exp
223 : cchiw 2838 *)
224 :     fun handleProd(y,e1,params,index,args)=let
225 : cchiw 2922 val (e1',params',args',code)= rewriteOps("prod",e1,params,index,[],args)
226 : cchiw 2838 val body =E.Prod e1'
227 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,[],args')
228 :     in
229 :     (einapp,code)
230 :     end
231 : cchiw 2838
232 :     (* handleSumProd:var*ein_exp *params*index*args-> (var*einap)*code
233 : cchiw 2843 * calls rewriteOps() lift on ein_exp
234 : cchiw 2838 *)
235 :     fun handleSumProd(y,e1,params,index,sx,args)=let
236 : cchiw 2922 val (e1',params',args',code)= rewriteOps("sumprod",e1,params,index,sx,args)
237 : cchiw 2838 val body= E.Sum(sx,E.Prod e1')
238 : cchiw 2845 val einapp= rewriteOrig(y,body,params',index,sx,args')
239 :     in
240 :     (einapp,code)
241 :     end
242 : cchiw 2838
243 :     (* split:var*ein_app-> (var*einap)*code
244 :     * split ein expression into smaller pieces
245 : cchiw 2843 note we leave summation around probe exp
246 : cchiw 2838 *)
247 :     fun split(y,einapp as DstIL.EINAPP(Ein.EIN{params, index, body},args))=let
248 : cchiw 2843 val zero= (setEinZero y,[])
249 : cchiw 2838 val default=((y,einapp),[])
250 :     val sumIndex=ref []
251 : cchiw 2867 val str="Poorly formed EIN operator. Argument needs to be applied in High-IL"^(P.printbody body)
252 : cchiw 2838 fun rewrite b=(case b
253 : cchiw 2847 of E.Probe (E.Conv _,_) => default
254 : cchiw 2870 | E.Probe(E.Field _,_) => raise Fail str
255 : cchiw 2847 | E.Probe _ => raise Fail str
256 : cchiw 2838 | E.Conv _ => zero
257 :     | E.Field _ => zero
258 :     | E.Apply _ => zero
259 :     | E.Lift e => zero
260 :     | E.Delta _ => default
261 :     | E.Epsilon _ => default
262 : cchiw 2843 | E.Eps2 _ => default
263 : cchiw 2838 | E.Tensor _ => default
264 :     | E.Const _ => default
265 : cchiw 2923 | E.ConstR _ => default
266 : cchiw 2838 | E.Neg e1 => handleNeg(y,e1,params,index,args)
267 : cchiw 2867 | E.Sqrt e1 => handleSqrt(y,e1,params,index,args)
268 : cchiw 2923 | E.PowInt e1 => handlePowInt(y,e1,params,index,args)
269 :     | E.PowReal e1 => handlePowReal(y,e1,params,index,args)
270 : cchiw 2838 | E.Sub (e1,e2) => handleSub(y,e1,e2,params,index,args)
271 :     | E.Div (e1,e2) => handleDiv(y,e1,e2,params,index,args)
272 : cchiw 2923 | E.Sum(sx,E.Tensor(id,[]))=> rewrite (E.Tensor(id,[]))
273 :     | E.Sum(sx,E.Const c) =>rewrite ( E.Const c )
274 :     | E.Sum(sx,E.ConstR r) => rewrite (E.ConstR r)
275 : cchiw 2922 | E.Sum(sx,E.Neg n) => rewrite (E.Neg(E.Sum(sx,n)))
276 :     | E.Sum(sx,E.Add a) => rewrite (E.Add(List.map (fn e=> E.Sum(sx,e)) a))
277 :     | E.Sum(sx,E.Sub (e1,e2)) => rewrite (E.Sub(E.Sum(sx,e1),E.Sum(sx,e2)))
278 :     | E.Sum(sx,E.Div(e1,e2)) => rewrite(E.Div(E.Sum(sx,e1),E.Sum(sx,e2)))
279 :     | E.Sum(sx,E.Lift e ) => rewrite (E.Lift(E.Sum(sx,e)))
280 :     | E.Sum(sx,E.PowReal(e,n1)) => rewrite (E.PowReal(E.Sum(sx,e),n1))
281 :     | E.Sum(sx,E.Sqrt e) => rewrite (E.Sqrt(E.Sum(sx,e)))
282 :     | E.Sum(c1,E.Sum (c2,e)) => rewrite (E.Sum (c1@c2,e))
283 : cchiw 2847 | E.Sum(_,E.Prod[E.Eps2 _, E.Probe(E.Conv _,_) ]) => default
284 :     | E.Sum(_,E.Prod[E.Epsilon _, E.Probe(E.Conv _,_) ]) => default
285 :     | E.Sum(_,E.Probe(E.Conv _,_)) => default
286 : cchiw 2838 | E.Sum(_,E.Conv _) => zero
287 :     | E.Sum(sx,E.Prod e1) => handleSumProd(y,e1,params,index,sx,args)
288 :     | E.Sum(sx,_) => default
289 :     | E.Add e1 => handleAdd(y,e1,params,index,args)
290 :     | E.Prod e1 => handleProd(y,e1,params,index,args)
291 :     | E.Partial _ => err(" Partial used after normalize")
292 :     | E.Krn _ => err("Krn used before expand")
293 :     | E.Value _ => err("Value used before expand")
294 :     | E.Img _ => err("Probe used before expand")
295 :     (*end case *))
296 :     val (einapp2,newbies) =rewrite body
297 :     in
298 :     (einapp2,newbies)
299 :     end
300 :     |split(y,app) =((y,app),[])
301 : cchiw 2923
302 :    
303 :     (*Distribute summation if needed*)
304 :     fun distributeSummation(y,einapp as DstIL.EINAPP(Ein.EIN{params, index, body},args))=let
305 :     fun rewrite b=(case b
306 :     of E.Sum(sx,E.Tensor(id,[])) => E.Tensor(id,[])
307 :     | E.Sum(sx,E.Const c) => E.Const c
308 :     | E.Sum(sx,E.ConstR r) => E.ConstR r
309 :     | E.Sum(sx,E.Neg n) => rewrite(E.Neg(E.Sum(sx,n)))
310 :     | E.Sum(sx,E.Add a) => rewrite(E.Add(List.map (fn e=> E.Sum(sx,e)) a))
311 :     | E.Sum(sx,E.Sub (e1,e2)) => rewrite(E.Sub(E.Sum(sx,e1),E.Sum(sx,e2)))
312 :     | E.Sum(sx,E.Div(e1,e2)) => rewrite( E.Div(E.Sum(sx,e1),E.Sum(sx,e2)))
313 :     | E.Sum(sx,E.Lift e ) => rewrite (E.Lift(E.Sum(sx,e)))
314 :     | E.Sum(sx,E.PowReal(e,n1)) => rewrite(E.PowReal(E.Sum(sx,e),n1))
315 :     | E.Sum(sx,E.Sqrt e) => rewrite(E.Sqrt(E.Sum(sx,e)))
316 :     | E.Sum(sx,E.Sum (c2,e)) => rewrite (E.Sum (sx@c2,e))
317 :     | E.Sum(sx,E.Prod p) => let
318 :     val (c,e)=filterSca(sx,p)
319 :     in e end
320 :     | E.Div(e1,e2) => E.Div(rewrite e1, rewrite e2)
321 :     | E.Sub(e1,e2) => E.Sub(rewrite e1, rewrite e2)
322 :     | E.Add es => E.Add(List.map rewrite es)
323 :     | E.Prod es => E.Prod(List.map rewrite es)
324 :     | E.Neg e => E.Neg(rewrite e)
325 :     | E.Sqrt e => E.Sqrt(rewrite e)
326 :     | _ => b
327 :     (*end case*))
328 :     val body =rewrite body
329 :     val ein=SummationEin.cleanSummation(Ein.EIN{params=params, index=index, body=body})
330 :     val einapp2= (y,DstIL.EINAPP(ein,args))
331 :     in
332 :     split(einapp2)
333 :     end
334 :     |distributeSummation(y,app) =((y,app),[])
335 :    
336 :    
337 :    
338 : cchiw 2838 (* iterMultiple:code*code=> (code*code)
339 :     * recursively split ein expression into smaller pieces
340 :     *)
341 :     fun iterMultiple(einapp2,newbies2)=let
342 :     fun itercode([],rest,code)=(rest,code)
343 :     | itercode(e1::newbies,rest,code)=let
344 : cchiw 2923 val (einapp3,code3) =(*split(e1)*) distributeSummation e1
345 :     val _ =testp["\n\n******* split ***** \n",printEINAPP(e1),"\n=>\n",printEINAPP(einapp3),"\nand\n",(String.concatWith",\n\t"(List.map printEINAPP code3))]
346 : cchiw 2838 val (rest4,code4)=itercode(code3,[],[])
347 :     in itercode(newbies,rest@[einapp3],code4@rest4@code)
348 :     end
349 :     val(rest,code)= itercode(newbies2,[],[])
350 :     in
351 :     (einapp2,code@rest)
352 :     end
353 :    
354 : cchiw 2843 fun iterSplit(y,einapp as DstIL.EINAPP(Ein.EIN{params, index, body},args))=let
355 : cchiw 2923 val bodysweep=handleE.sweep body
356 :     val _=testp["\n\n Sweep\n",P.printbody bodysweep,"\n"]
357 :     val ein=SummationEin.cleanSummation(Ein.EIN{params=params, index=index, body=bodysweep})
358 :     val _=testp["\n\n Clean Summation\n",P.printbody(Ein.body ein),"\n"]
359 :     val einapp2=(y,DstIL.EINAPP(ein, args))
360 :     (*assignEinApp(y,params,index,body,args)*)
361 :     val (einapp3,newbies2)=distributeSummation einapp2
362 : cchiw 2838 in
363 : cchiw 2870 iterMultiple(einapp3,newbies2)
364 : cchiw 2838 end
365 :    
366 :     (* gettest:code*code=> (code*code)
367 :     * print results for splitting einapp
368 :     *)
369 : cchiw 2845 fun gettest einapp=(case testing
370 : cchiw 2838 of 0=>iterSplit(einapp)
371 :     | _=>let
372 : cchiw 2845 val star="\n************* SPLIT********\n"
373 : cchiw 2923 val _ =testp[star,"\n","start get test",printEINAPP einapp]
374 : cchiw 2838 val (einapp2,newbies)=iterSplit(einapp)
375 : cchiw 2923 val _ =testp["\n\n Returning \n\n =>",printEINAPP einapp2,
376 :     " newbies\n\t",String.concatWith",\n\t"(List.map printEINAPP newbies), "\n",star]
377 : cchiw 2838 in
378 :     (einapp2,newbies)
379 :     end
380 :     (*end case*))
381 :    
382 :     end; (* local *)
383 :    
384 :     end (* local *)

root@smlnj-gforge.cs.uchicago.edu
ViewVC Help
Powered by ViewVC 1.0.0