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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 :    
31 : cchiw 3033
32 : cchiw 2838 in
33 :    
34 : cchiw 3033 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 : cchiw 3033
43 :    
44 :    
45 : cchiw 2838 fun itos i =Int.toString i
46 : cchiw 2923 fun filterSca e=Filter.filterSca e
47 : cchiw 2838 fun err str=raise Fail str
48 :     val cnt = ref 0
49 :     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 :    
61 :     (* lift:ein_app*params*index*sum_id*args-> (ein_exp* params*args*code)
62 :     *lifts expression and returns replacement tensor
63 : cchiw 2843 * cleans the index and params of subexpression
64 :     *creates new param and replacement tensor for the original ein_exp
65 : cchiw 2838 *)
66 : cchiw 2845 fun lift(name,e,params,index,sx,args)=let
67 : cchiw 2867
68 : cchiw 2838 val (tshape,sizes,body)=cleanIndex(e,index,sx)
69 : cchiw 2843 val id=length(params)
70 :     val Rparams=params@[E.TEN(1,sizes)]
71 :     val Re=E.Tensor(id,tshape)
72 : cchiw 2845 val M = DstV.new (genName (name^"_l_"^itos id), DstTy.TensorTy sizes)
73 : cchiw 2843 val Rargs=args@[M]
74 :     val einapp=cleanParams(M,body,Rparams,sizes,Rargs)
75 :    
76 : cchiw 2838 in
77 : cchiw 2843 (Re,Rparams,Rargs,[einapp])
78 : cchiw 2838 end
79 :    
80 :     (* isOp: ein->int
81 :     * checks to see if this sub-expression is pulled out or split form original
82 :     * 0-becomes zero,1-remains the same, 2-operator
83 :     *)
84 :     fun isOp e =(case e
85 :     of E.Field _ => 0
86 :     | E.Conv _ => 0
87 :     | E.Apply _ => 0
88 :     | E.Lift _ => 0
89 :     | E.Neg _ => 1
90 : cchiw 2870 | E.Sqrt _ => 1
91 : cchiw 2923 | E.PowInt _ => 1
92 :     | E.PowReal _ => 1
93 : cchiw 2838 | E.Add _ => 1
94 :     | E.Sub _ => 1
95 :     | E.Prod _ => 1
96 :     | E.Div _ => 1
97 :     | E.Sum _ => 1
98 :     | E.Probe _ => 1
99 :     | E.Partial _ => err(" Partial used after normalize")
100 :     | E.Krn _ => err("Krn used before expand")
101 :     | E.Value _ => err("Value used before expand")
102 :     | E.Img _ => err("Probe used before expand")
103 :     | _ => 2
104 :     (*end case*))
105 :    
106 : cchiw 2843 (* rewriteOp:ein_exp*params*index*args-> ein_exp*params*args*code
107 :     * If e1 an op then call lift() to replace it
108 : cchiw 2838 * Otherwise rewrite to 0 or it remains the same
109 :     *)
110 : cchiw 2845 fun rewriteOp(name,e1,params,index,sx,args)=(case (isOp e1)
111 : cchiw 2838 of 0 => (E.Const 0,params,args,[])
112 :     | 2 => (e1,params,args,[])
113 : cchiw 2867 | _ => lift(name,e1,params,index,sx,args)
114 : cchiw 2838 (*end*))
115 :    
116 : cchiw 2843 (* rewriteOps:ein_exp list*params*index*sum_id list*mid-il vars
117 :     -> ein_exp list*params*args*code
118 :     * calls rewriteOp on ein_exp list
119 : cchiw 2838 *)
120 : cchiw 2845 fun rewriteOps(name,list1,params,index,sx,args)=let
121 : cchiw 2838 fun m([],rest,params,args,code)=(rest,params,args,code)
122 :     | m(e1::es,rest,params,args,code)=let
123 : cchiw 3017
124 : cchiw 2845 val (e1',params',args',code')= rewriteOp(name,e1,params,index,sx,args)
125 : cchiw 3033 (*val _ =testp["rewriteOP:\n",P.printbody e1,"\n\t=>", P.printbody e1']*)
126 : cchiw 2838 in
127 :     m(es,rest@[e1'],params',args',code@code')
128 :     end
129 :     in
130 :     m(list1,[],params,args,[])
131 :     end
132 : cchiw 2843
133 : cchiw 2845 (*rewriteOrig: var* ein_exp* params*index list*mid-il vars
134 : cchiw 2843 When the operation is zero then we return a real.
135 : cchiw 2845 -Moved is Zero to before split.
136 : cchiw 2843 *)
137 : cchiw 3033 fun rewriteOrig(y,body,params,index,sx,args) =cleanParams(y,body,params,index,args)
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 3033 (* 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 :     val (e1',params',args',code)= rewriteOp("powint", e1,params,index,[],args)
167 :     val body =E.PowInt(e1',n1)
168 :     val einapp= rewriteOrig(y,body,params',index,[],args')
169 :     in
170 :     (einapp,code)
171 :     end
172 : cchiw 2870
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 3030
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 2847 | E.Sum(_,E.Prod[E.Eps2 _, E.Probe(E.Conv _,_) ]) => default
275 :     | E.Sum(_,E.Prod[E.Epsilon _, E.Probe(E.Conv _,_) ]) => default
276 :     | E.Sum(_,E.Probe(E.Conv _,_)) => default
277 : cchiw 2838 | E.Sum(sx,E.Prod e1) => handleSumProd(y,e1,params,index,sx,args)
278 : cchiw 3033 | E.Sum(sx,E.Add [a0,a1,a2]) => err(" \n summation not distributed:add3\n found:\n\t"^P.printbody a0^"\nin \n"^str)
279 :    
280 :     | E.Sum(sx,E.Add n) => err(" \n summation not distributed:add\n"^Int.toString(length n)^"found:\n\t"^P.printbody b^"\nin \n"^str)
281 :     | E.Sum(sx,E.Sub _) => err(" summation not distributed:sub"^str)
282 :     | E.Sum(sx,E.Sqrt _) => err(" summation not distributed:sqrt"^str)
283 :     | E.Sum(sx,E.Neg _) => err(" summation not distributed:neg"^str)
284 :     | E.Sum(sx,_) => err(" summation not distributed:"^str)
285 : cchiw 2838 | E.Add e1 => handleAdd(y,e1,params,index,args)
286 :     | E.Prod e1 => handleProd(y,e1,params,index,args)
287 :     | E.Partial _ => err(" Partial used after normalize")
288 :     | E.Krn _ => err("Krn used before expand")
289 :     | E.Value _ => err("Value used before expand")
290 :     | E.Img _ => err("Probe used before expand")
291 :     (*end case *))
292 :     val (einapp2,newbies) =rewrite body
293 :     in
294 :     (einapp2,newbies)
295 :     end
296 :     |split(y,app) =((y,app),[])
297 : cchiw 2923
298 : cchiw 2838 (* iterMultiple:code*code=> (code*code)
299 :     * recursively split ein expression into smaller pieces
300 :     *)
301 :     fun iterMultiple(einapp2,newbies2)=let
302 : cchiw 3017 fun itercode([],rest,code,_)=(rest,code)
303 :     | itercode(e1::newbies,rest,code,cnt)=let
304 :     val _ =testp["\n\n******* split term **",Int.toString cnt," *****","\n \n",printEINAPP(e1),"\n=>\n"]
305 : cchiw 3033 val (einapp3,code3) = split e1
306 : cchiw 3017 val _ =testp["\n\t===>\n",printEINAPP(einapp3),"\nand\n",(String.concatWith",\n\t"(List.map printEINAPP code3))]
307 :     val (rest4,code4)=itercode(code3,[],[],cnt+1)
308 :     in itercode(newbies,rest@[einapp3],code4@rest4@code,cnt+2)
309 : cchiw 2838 end
310 : cchiw 3017 val(rest,code)= itercode(newbies2,[],[],1)
311 : cchiw 2838 in
312 :     (einapp2,code@rest)
313 :     end
314 :    
315 : cchiw 3017
316 : cchiw 2838 end; (* local *)
317 :    
318 :     end (* local *)

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