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John Criswellbd9d3702005-10-27 16:00:10 +00001//===-- ConstantFolding.cpp - Analyze constant folding possibilities ------===//
2//
3// The LLVM Compiler Infrastructure
4//
Chris Lattner4ee451d2007-12-29 20:36:04 +00005// This file is distributed under the University of Illinois Open Source
6// License. See LICENSE.TXT for details.
John Criswellbd9d3702005-10-27 16:00:10 +00007//
8//===----------------------------------------------------------------------===//
9//
10// This family of functions determines the possibility of performing constant
11// folding.
12//
13//===----------------------------------------------------------------------===//
14
15#include "llvm/Analysis/ConstantFolding.h"
16#include "llvm/Constants.h"
17#include "llvm/DerivedTypes.h"
Chris Lattner55207322007-01-30 23:45:45 +000018#include "llvm/Function.h"
Dan Gohman9a38e3e2009-05-07 19:46:24 +000019#include "llvm/GlobalVariable.h"
John Criswellbd9d3702005-10-27 16:00:10 +000020#include "llvm/Instructions.h"
21#include "llvm/Intrinsics.h"
Chris Lattner55207322007-01-30 23:45:45 +000022#include "llvm/ADT/SmallVector.h"
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +000023#include "llvm/ADT/StringMap.h"
Chris Lattner03dd25c2007-01-31 00:51:48 +000024#include "llvm/Target/TargetData.h"
John Criswellbd9d3702005-10-27 16:00:10 +000025#include "llvm/Support/GetElementPtrTypeIterator.h"
26#include "llvm/Support/MathExtras.h"
27#include <cerrno>
Jeff Cohen97af7512006-12-02 02:22:01 +000028#include <cmath>
John Criswellbd9d3702005-10-27 16:00:10 +000029using namespace llvm;
30
Chris Lattner03dd25c2007-01-31 00:51:48 +000031//===----------------------------------------------------------------------===//
32// Constant Folding internal helper functions
33//===----------------------------------------------------------------------===//
34
35/// IsConstantOffsetFromGlobal - If this constant is actually a constant offset
36/// from a global, return the global and the constant. Because of
37/// constantexprs, this function is recursive.
38static bool IsConstantOffsetFromGlobal(Constant *C, GlobalValue *&GV,
39 int64_t &Offset, const TargetData &TD) {
40 // Trivial case, constant is the global.
41 if ((GV = dyn_cast<GlobalValue>(C))) {
42 Offset = 0;
43 return true;
44 }
45
46 // Otherwise, if this isn't a constant expr, bail out.
47 ConstantExpr *CE = dyn_cast<ConstantExpr>(C);
48 if (!CE) return false;
49
50 // Look through ptr->int and ptr->ptr casts.
51 if (CE->getOpcode() == Instruction::PtrToInt ||
52 CE->getOpcode() == Instruction::BitCast)
53 return IsConstantOffsetFromGlobal(CE->getOperand(0), GV, Offset, TD);
54
55 // i32* getelementptr ([5 x i32]* @a, i32 0, i32 5)
56 if (CE->getOpcode() == Instruction::GetElementPtr) {
57 // Cannot compute this if the element type of the pointer is missing size
58 // info.
Chris Lattnerf286f6f2007-12-10 22:53:04 +000059 if (!cast<PointerType>(CE->getOperand(0)->getType())
60 ->getElementType()->isSized())
Chris Lattner03dd25c2007-01-31 00:51:48 +000061 return false;
62
63 // If the base isn't a global+constant, we aren't either.
64 if (!IsConstantOffsetFromGlobal(CE->getOperand(0), GV, Offset, TD))
65 return false;
66
67 // Otherwise, add any offset that our operands provide.
68 gep_type_iterator GTI = gep_type_begin(CE);
Gabor Greifde2d74b2008-05-22 06:43:33 +000069 for (User::const_op_iterator i = CE->op_begin() + 1, e = CE->op_end();
Gabor Greif785c6af2008-05-22 19:24:54 +000070 i != e; ++i, ++GTI) {
Gabor Greifde2d74b2008-05-22 06:43:33 +000071 ConstantInt *CI = dyn_cast<ConstantInt>(*i);
Chris Lattner03dd25c2007-01-31 00:51:48 +000072 if (!CI) return false; // Index isn't a simple constant?
73 if (CI->getZExtValue() == 0) continue; // Not adding anything.
74
75 if (const StructType *ST = dyn_cast<StructType>(*GTI)) {
76 // N = N + Offset
Chris Lattnerb1919e22007-02-10 19:55:17 +000077 Offset += TD.getStructLayout(ST)->getElementOffset(CI->getZExtValue());
Chris Lattner03dd25c2007-01-31 00:51:48 +000078 } else {
Jeff Cohenca5183d2007-03-05 00:00:42 +000079 const SequentialType *SQT = cast<SequentialType>(*GTI);
Duncan Sands777d2302009-05-09 07:06:46 +000080 Offset += TD.getTypeAllocSize(SQT->getElementType())*CI->getSExtValue();
Chris Lattner03dd25c2007-01-31 00:51:48 +000081 }
82 }
83 return true;
84 }
85
86 return false;
87}
88
89
90/// SymbolicallyEvaluateBinop - One of Op0/Op1 is a constant expression.
Nick Lewycky67e35662008-12-15 01:35:36 +000091/// Attempt to symbolically evaluate the result of a binary operator merging
Chris Lattner03dd25c2007-01-31 00:51:48 +000092/// these together. If target data info is available, it is provided as TD,
93/// otherwise TD is null.
94static Constant *SymbolicallyEvaluateBinop(unsigned Opc, Constant *Op0,
95 Constant *Op1, const TargetData *TD){
96 // SROA
97
98 // Fold (and 0xffffffff00000000, (shl x, 32)) -> shl.
99 // Fold (lshr (or X, Y), 32) -> (lshr [X/Y], 32) if one doesn't contribute
100 // bits.
101
102
103 // If the constant expr is something like &A[123] - &A[4].f, fold this into a
104 // constant. This happens frequently when iterating over a global array.
105 if (Opc == Instruction::Sub && TD) {
106 GlobalValue *GV1, *GV2;
107 int64_t Offs1, Offs2;
108
109 if (IsConstantOffsetFromGlobal(Op0, GV1, Offs1, *TD))
110 if (IsConstantOffsetFromGlobal(Op1, GV2, Offs2, *TD) &&
111 GV1 == GV2) {
112 // (&GV+C1) - (&GV+C2) -> C1-C2, pointer arithmetic cannot overflow.
113 return ConstantInt::get(Op0->getType(), Offs1-Offs2);
114 }
115 }
116
Chris Lattner03dd25c2007-01-31 00:51:48 +0000117 return 0;
118}
119
120/// SymbolicallyEvaluateGEP - If we can symbolically evaluate the specified GEP
121/// constant expression, do so.
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000122static Constant *SymbolicallyEvaluateGEP(Constant* const* Ops, unsigned NumOps,
Chris Lattner03dd25c2007-01-31 00:51:48 +0000123 const Type *ResultTy,
124 const TargetData *TD) {
125 Constant *Ptr = Ops[0];
Chris Lattner268e7d72008-05-08 04:54:43 +0000126 if (!TD || !cast<PointerType>(Ptr->getType())->getElementType()->isSized())
Chris Lattner03dd25c2007-01-31 00:51:48 +0000127 return 0;
128
Chris Lattner268e7d72008-05-08 04:54:43 +0000129 uint64_t BasePtr = 0;
130 if (!Ptr->isNullValue()) {
131 // If this is a inttoptr from a constant int, we can fold this as the base,
132 // otherwise we can't.
133 if (ConstantExpr *CE = dyn_cast<ConstantExpr>(Ptr))
134 if (CE->getOpcode() == Instruction::IntToPtr)
135 if (ConstantInt *Base = dyn_cast<ConstantInt>(CE->getOperand(0)))
136 BasePtr = Base->getZExtValue();
137
138 if (BasePtr == 0)
139 return 0;
Chris Lattner03dd25c2007-01-31 00:51:48 +0000140 }
Chris Lattner268e7d72008-05-08 04:54:43 +0000141
142 // If this is a constant expr gep that is effectively computing an
143 // "offsetof", fold it into 'cast int Size to T*' instead of 'gep 0, 0, 12'
144 for (unsigned i = 1; i != NumOps; ++i)
145 if (!isa<ConstantInt>(Ops[i]))
146 return false;
147
148 uint64_t Offset = TD->getIndexedOffset(Ptr->getType(),
149 (Value**)Ops+1, NumOps-1);
150 Constant *C = ConstantInt::get(TD->getIntPtrType(), Offset+BasePtr);
151 return ConstantExpr::getIntToPtr(C, ResultTy);
Chris Lattner03dd25c2007-01-31 00:51:48 +0000152}
153
Chris Lattner1afab9c2007-12-11 07:29:44 +0000154/// FoldBitCast - Constant fold bitcast, symbolically evaluating it with
155/// targetdata. Return 0 if unfoldable.
156static Constant *FoldBitCast(Constant *C, const Type *DestTy,
157 const TargetData &TD) {
158 // If this is a bitcast from constant vector -> vector, fold it.
159 if (ConstantVector *CV = dyn_cast<ConstantVector>(C)) {
160 if (const VectorType *DestVTy = dyn_cast<VectorType>(DestTy)) {
161 // If the element types match, VMCore can fold it.
162 unsigned NumDstElt = DestVTy->getNumElements();
163 unsigned NumSrcElt = CV->getNumOperands();
164 if (NumDstElt == NumSrcElt)
165 return 0;
166
167 const Type *SrcEltTy = CV->getType()->getElementType();
168 const Type *DstEltTy = DestVTy->getElementType();
169
170 // Otherwise, we're changing the number of elements in a vector, which
171 // requires endianness information to do the right thing. For example,
172 // bitcast (<2 x i64> <i64 0, i64 1> to <4 x i32>)
173 // folds to (little endian):
174 // <4 x i32> <i32 0, i32 0, i32 1, i32 0>
175 // and to (big endian):
176 // <4 x i32> <i32 0, i32 0, i32 0, i32 1>
177
178 // First thing is first. We only want to think about integer here, so if
179 // we have something in FP form, recast it as integer.
180 if (DstEltTy->isFloatingPoint()) {
181 // Fold to an vector of integers with same size as our FP type.
182 unsigned FPWidth = DstEltTy->getPrimitiveSizeInBits();
183 const Type *DestIVTy = VectorType::get(IntegerType::get(FPWidth),
184 NumDstElt);
185 // Recursively handle this integer conversion, if possible.
186 C = FoldBitCast(C, DestIVTy, TD);
187 if (!C) return 0;
188
189 // Finally, VMCore can handle this now that #elts line up.
190 return ConstantExpr::getBitCast(C, DestTy);
191 }
192
193 // Okay, we know the destination is integer, if the input is FP, convert
194 // it to integer first.
195 if (SrcEltTy->isFloatingPoint()) {
196 unsigned FPWidth = SrcEltTy->getPrimitiveSizeInBits();
197 const Type *SrcIVTy = VectorType::get(IntegerType::get(FPWidth),
198 NumSrcElt);
199 // Ask VMCore to do the conversion now that #elts line up.
200 C = ConstantExpr::getBitCast(C, SrcIVTy);
201 CV = dyn_cast<ConstantVector>(C);
202 if (!CV) return 0; // If VMCore wasn't able to fold it, bail out.
203 }
204
205 // Now we know that the input and output vectors are both integer vectors
206 // of the same size, and that their #elements is not the same. Do the
207 // conversion here, which depends on whether the input or output has
208 // more elements.
209 bool isLittleEndian = TD.isLittleEndian();
210
211 SmallVector<Constant*, 32> Result;
212 if (NumDstElt < NumSrcElt) {
213 // Handle: bitcast (<4 x i32> <i32 0, i32 1, i32 2, i32 3> to <2 x i64>)
214 Constant *Zero = Constant::getNullValue(DstEltTy);
215 unsigned Ratio = NumSrcElt/NumDstElt;
216 unsigned SrcBitSize = SrcEltTy->getPrimitiveSizeInBits();
217 unsigned SrcElt = 0;
218 for (unsigned i = 0; i != NumDstElt; ++i) {
219 // Build each element of the result.
220 Constant *Elt = Zero;
221 unsigned ShiftAmt = isLittleEndian ? 0 : SrcBitSize*(Ratio-1);
222 for (unsigned j = 0; j != Ratio; ++j) {
223 Constant *Src = dyn_cast<ConstantInt>(CV->getOperand(SrcElt++));
224 if (!Src) return 0; // Reject constantexpr elements.
225
226 // Zero extend the element to the right size.
227 Src = ConstantExpr::getZExt(Src, Elt->getType());
228
229 // Shift it to the right place, depending on endianness.
230 Src = ConstantExpr::getShl(Src,
231 ConstantInt::get(Src->getType(), ShiftAmt));
232 ShiftAmt += isLittleEndian ? SrcBitSize : -SrcBitSize;
233
234 // Mix it in.
235 Elt = ConstantExpr::getOr(Elt, Src);
236 }
237 Result.push_back(Elt);
238 }
239 } else {
240 // Handle: bitcast (<2 x i64> <i64 0, i64 1> to <4 x i32>)
241 unsigned Ratio = NumDstElt/NumSrcElt;
242 unsigned DstBitSize = DstEltTy->getPrimitiveSizeInBits();
243
244 // Loop over each source value, expanding into multiple results.
245 for (unsigned i = 0; i != NumSrcElt; ++i) {
246 Constant *Src = dyn_cast<ConstantInt>(CV->getOperand(i));
247 if (!Src) return 0; // Reject constantexpr elements.
248
249 unsigned ShiftAmt = isLittleEndian ? 0 : DstBitSize*(Ratio-1);
250 for (unsigned j = 0; j != Ratio; ++j) {
251 // Shift the piece of the value into the right place, depending on
252 // endianness.
253 Constant *Elt = ConstantExpr::getLShr(Src,
254 ConstantInt::get(Src->getType(), ShiftAmt));
255 ShiftAmt += isLittleEndian ? DstBitSize : -DstBitSize;
256
257 // Truncate and remember this piece.
258 Result.push_back(ConstantExpr::getTrunc(Elt, DstEltTy));
259 }
260 }
261 }
262
Jay Foade3e51c02009-05-21 09:52:38 +0000263 return ConstantVector::get(Result.data(), Result.size());
Chris Lattner1afab9c2007-12-11 07:29:44 +0000264 }
265 }
266
267 return 0;
268}
269
Chris Lattner03dd25c2007-01-31 00:51:48 +0000270
271//===----------------------------------------------------------------------===//
272// Constant Folding public APIs
273//===----------------------------------------------------------------------===//
274
275
Chris Lattner55207322007-01-30 23:45:45 +0000276/// ConstantFoldInstruction - Attempt to constant fold the specified
277/// instruction. If successful, the constant result is returned, if not, null
278/// is returned. Note that this function can only fail when attempting to fold
279/// instructions like loads and stores, which have no constant expression form.
280///
281Constant *llvm::ConstantFoldInstruction(Instruction *I, const TargetData *TD) {
282 if (PHINode *PN = dyn_cast<PHINode>(I)) {
283 if (PN->getNumIncomingValues() == 0)
Nick Lewyckyd4339042008-11-20 04:36:13 +0000284 return UndefValue::get(PN->getType());
John Criswellbd9d3702005-10-27 16:00:10 +0000285
Chris Lattner55207322007-01-30 23:45:45 +0000286 Constant *Result = dyn_cast<Constant>(PN->getIncomingValue(0));
287 if (Result == 0) return 0;
288
289 // Handle PHI nodes specially here...
290 for (unsigned i = 1, e = PN->getNumIncomingValues(); i != e; ++i)
291 if (PN->getIncomingValue(i) != Result && PN->getIncomingValue(i) != PN)
292 return 0; // Not all the same incoming constants...
293
294 // If we reach here, all incoming values are the same constant.
295 return Result;
296 }
297
298 // Scan the operand list, checking to see if they are all constants, if so,
299 // hand off to ConstantFoldInstOperands.
300 SmallVector<Constant*, 8> Ops;
Gabor Greifde2d74b2008-05-22 06:43:33 +0000301 for (User::op_iterator i = I->op_begin(), e = I->op_end(); i != e; ++i)
302 if (Constant *Op = dyn_cast<Constant>(*i))
Chris Lattner55207322007-01-30 23:45:45 +0000303 Ops.push_back(Op);
304 else
305 return 0; // All operands not constant!
306
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000307 if (const CmpInst *CI = dyn_cast<CmpInst>(I))
308 return ConstantFoldCompareInstOperands(CI->getPredicate(),
Jay Foade3e51c02009-05-21 09:52:38 +0000309 Ops.data(), Ops.size(), TD);
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000310 else
311 return ConstantFoldInstOperands(I->getOpcode(), I->getType(),
Jay Foade3e51c02009-05-21 09:52:38 +0000312 Ops.data(), Ops.size(), TD);
Chris Lattner55207322007-01-30 23:45:45 +0000313}
314
Nick Lewycky3dfd7bf2008-05-25 20:56:15 +0000315/// ConstantFoldConstantExpression - Attempt to fold the constant expression
316/// using the specified TargetData. If successful, the constant result is
317/// result is returned, if not, null is returned.
318Constant *llvm::ConstantFoldConstantExpression(ConstantExpr *CE,
319 const TargetData *TD) {
Nick Lewycky3dfd7bf2008-05-25 20:56:15 +0000320 SmallVector<Constant*, 8> Ops;
321 for (User::op_iterator i = CE->op_begin(), e = CE->op_end(); i != e; ++i)
322 Ops.push_back(cast<Constant>(*i));
323
324 if (CE->isCompare())
325 return ConstantFoldCompareInstOperands(CE->getPredicate(),
Jay Foade3e51c02009-05-21 09:52:38 +0000326 Ops.data(), Ops.size(), TD);
Nick Lewycky3dfd7bf2008-05-25 20:56:15 +0000327 else
328 return ConstantFoldInstOperands(CE->getOpcode(), CE->getType(),
Jay Foade3e51c02009-05-21 09:52:38 +0000329 Ops.data(), Ops.size(), TD);
Nick Lewycky3dfd7bf2008-05-25 20:56:15 +0000330}
331
Chris Lattner55207322007-01-30 23:45:45 +0000332/// ConstantFoldInstOperands - Attempt to constant fold an instruction with the
333/// specified opcode and operands. If successful, the constant result is
334/// returned, if not, null is returned. Note that this function can fail when
335/// attempting to fold instructions like loads and stores, which have no
336/// constant expression form.
337///
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000338Constant *llvm::ConstantFoldInstOperands(unsigned Opcode, const Type *DestTy,
339 Constant* const* Ops, unsigned NumOps,
Chris Lattner55207322007-01-30 23:45:45 +0000340 const TargetData *TD) {
Chris Lattner03dd25c2007-01-31 00:51:48 +0000341 // Handle easy binops first.
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000342 if (Instruction::isBinaryOp(Opcode)) {
Chris Lattner03dd25c2007-01-31 00:51:48 +0000343 if (isa<ConstantExpr>(Ops[0]) || isa<ConstantExpr>(Ops[1]))
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000344 if (Constant *C = SymbolicallyEvaluateBinop(Opcode, Ops[0], Ops[1], TD))
Chris Lattner03dd25c2007-01-31 00:51:48 +0000345 return C;
346
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000347 return ConstantExpr::get(Opcode, Ops[0], Ops[1]);
Chris Lattner03dd25c2007-01-31 00:51:48 +0000348 }
Chris Lattner55207322007-01-30 23:45:45 +0000349
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000350 switch (Opcode) {
Chris Lattner55207322007-01-30 23:45:45 +0000351 default: return 0;
352 case Instruction::Call:
353 if (Function *F = dyn_cast<Function>(Ops[0]))
354 if (canConstantFoldCallTo(F))
Chris Lattnerad58eb32007-01-31 18:04:55 +0000355 return ConstantFoldCall(F, Ops+1, NumOps-1);
Chris Lattner55207322007-01-30 23:45:45 +0000356 return 0;
357 case Instruction::ICmp:
358 case Instruction::FCmp:
Nate Begemanb5557ab2008-07-25 17:35:37 +0000359 case Instruction::VICmp:
360 case Instruction::VFCmp:
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000361 assert(0 &&"This function is invalid for compares: no predicate specified");
Chris Lattner001f7532007-08-11 23:49:01 +0000362 case Instruction::PtrToInt:
363 // If the input is a inttoptr, eliminate the pair. This requires knowing
364 // the width of a pointer, so it can't be done in ConstantExpr::getCast.
365 if (ConstantExpr *CE = dyn_cast<ConstantExpr>(Ops[0])) {
366 if (TD && CE->getOpcode() == Instruction::IntToPtr) {
367 Constant *Input = CE->getOperand(0);
Dan Gohman6de29f82009-06-15 22:12:54 +0000368 unsigned InWidth = Input->getType()->getScalarSizeInBits();
Nick Lewycky04aa2c32008-10-24 06:14:27 +0000369 if (TD->getPointerSizeInBits() < InWidth) {
370 Constant *Mask =
371 ConstantInt::get(APInt::getLowBitsSet(InWidth,
372 TD->getPointerSizeInBits()));
373 Input = ConstantExpr::getAnd(Input, Mask);
374 }
Chris Lattner001f7532007-08-11 23:49:01 +0000375 // Do a zext or trunc to get to the dest size.
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000376 return ConstantExpr::getIntegerCast(Input, DestTy, false);
Chris Lattner001f7532007-08-11 23:49:01 +0000377 }
378 }
Chris Lattner1afab9c2007-12-11 07:29:44 +0000379 return ConstantExpr::getCast(Opcode, Ops[0], DestTy);
Chris Lattner001f7532007-08-11 23:49:01 +0000380 case Instruction::IntToPtr:
Duncan Sands81b06be2008-08-13 20:20:35 +0000381 // If the input is a ptrtoint, turn the pair into a ptr to ptr bitcast if
382 // the int size is >= the ptr size. This requires knowing the width of a
383 // pointer, so it can't be done in ConstantExpr::getCast.
384 if (ConstantExpr *CE = dyn_cast<ConstantExpr>(Ops[0])) {
Dan Gohman9a38e3e2009-05-07 19:46:24 +0000385 if (TD &&
Duncan Sands81b06be2008-08-13 20:20:35 +0000386 TD->getPointerSizeInBits() <=
Dan Gohman6de29f82009-06-15 22:12:54 +0000387 CE->getType()->getScalarSizeInBits()) {
Dan Gohman9a38e3e2009-05-07 19:46:24 +0000388 if (CE->getOpcode() == Instruction::PtrToInt) {
389 Constant *Input = CE->getOperand(0);
390 Constant *C = FoldBitCast(Input, DestTy, *TD);
391 return C ? C : ConstantExpr::getBitCast(Input, DestTy);
392 }
393 // If there's a constant offset added to the integer value before
394 // it is casted back to a pointer, see if the expression can be
395 // converted into a GEP.
396 if (CE->getOpcode() == Instruction::Add)
397 if (ConstantInt *L = dyn_cast<ConstantInt>(CE->getOperand(0)))
398 if (ConstantExpr *R = dyn_cast<ConstantExpr>(CE->getOperand(1)))
399 if (R->getOpcode() == Instruction::PtrToInt)
400 if (GlobalVariable *GV =
401 dyn_cast<GlobalVariable>(R->getOperand(0))) {
402 const PointerType *GVTy = cast<PointerType>(GV->getType());
403 if (const ArrayType *AT =
404 dyn_cast<ArrayType>(GVTy->getElementType())) {
405 const Type *ElTy = AT->getElementType();
Duncan Sands777d2302009-05-09 07:06:46 +0000406 uint64_t AllocSize = TD->getTypeAllocSize(ElTy);
407 APInt PSA(L->getValue().getBitWidth(), AllocSize);
Dan Gohman9a38e3e2009-05-07 19:46:24 +0000408 if (ElTy == cast<PointerType>(DestTy)->getElementType() &&
409 L->getValue().urem(PSA) == 0) {
410 APInt ElemIdx = L->getValue().udiv(PSA);
411 if (ElemIdx.ult(APInt(ElemIdx.getBitWidth(),
412 AT->getNumElements()))) {
413 Constant *Index[] = {
414 Constant::getNullValue(CE->getType()),
415 ConstantInt::get(ElemIdx)
416 };
417 return ConstantExpr::getGetElementPtr(GV, &Index[0], 2);
418 }
419 }
420 }
421 }
Duncan Sands81b06be2008-08-13 20:20:35 +0000422 }
423 }
424 return ConstantExpr::getCast(Opcode, Ops[0], DestTy);
Chris Lattner55207322007-01-30 23:45:45 +0000425 case Instruction::Trunc:
426 case Instruction::ZExt:
427 case Instruction::SExt:
428 case Instruction::FPTrunc:
429 case Instruction::FPExt:
430 case Instruction::UIToFP:
431 case Instruction::SIToFP:
432 case Instruction::FPToUI:
433 case Instruction::FPToSI:
Chris Lattner1afab9c2007-12-11 07:29:44 +0000434 return ConstantExpr::getCast(Opcode, Ops[0], DestTy);
Chris Lattner55207322007-01-30 23:45:45 +0000435 case Instruction::BitCast:
Chris Lattner1afab9c2007-12-11 07:29:44 +0000436 if (TD)
437 if (Constant *C = FoldBitCast(Ops[0], DestTy, *TD))
438 return C;
439 return ConstantExpr::getBitCast(Ops[0], DestTy);
Chris Lattner55207322007-01-30 23:45:45 +0000440 case Instruction::Select:
441 return ConstantExpr::getSelect(Ops[0], Ops[1], Ops[2]);
442 case Instruction::ExtractElement:
443 return ConstantExpr::getExtractElement(Ops[0], Ops[1]);
444 case Instruction::InsertElement:
445 return ConstantExpr::getInsertElement(Ops[0], Ops[1], Ops[2]);
446 case Instruction::ShuffleVector:
447 return ConstantExpr::getShuffleVector(Ops[0], Ops[1], Ops[2]);
448 case Instruction::GetElementPtr:
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000449 if (Constant *C = SymbolicallyEvaluateGEP(Ops, NumOps, DestTy, TD))
Chris Lattner03dd25c2007-01-31 00:51:48 +0000450 return C;
451
Chris Lattnerd917fe52007-01-31 04:42:05 +0000452 return ConstantExpr::getGetElementPtr(Ops[0], Ops+1, NumOps-1);
Chris Lattner55207322007-01-30 23:45:45 +0000453 }
454}
455
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000456/// ConstantFoldCompareInstOperands - Attempt to constant fold a compare
457/// instruction (icmp/fcmp) with the specified operands. If it fails, it
458/// returns a constant expression of the specified operands.
459///
460Constant *llvm::ConstantFoldCompareInstOperands(unsigned Predicate,
461 Constant*const * Ops,
462 unsigned NumOps,
463 const TargetData *TD) {
464 // fold: icmp (inttoptr x), null -> icmp x, 0
465 // fold: icmp (ptrtoint x), 0 -> icmp x, null
Nick Lewycky3dfd7bf2008-05-25 20:56:15 +0000466 // fold: icmp (inttoptr x), (inttoptr y) -> icmp trunc/zext x, trunc/zext y
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000467 // fold: icmp (ptrtoint x), (ptrtoint y) -> icmp x, y
468 //
469 // ConstantExpr::getCompare cannot do this, because it doesn't have TD
470 // around to know if bit truncation is happening.
471 if (ConstantExpr *CE0 = dyn_cast<ConstantExpr>(Ops[0])) {
472 if (TD && Ops[1]->isNullValue()) {
473 const Type *IntPtrTy = TD->getIntPtrType();
474 if (CE0->getOpcode() == Instruction::IntToPtr) {
475 // Convert the integer value to the right size to ensure we get the
476 // proper extension or truncation.
477 Constant *C = ConstantExpr::getIntegerCast(CE0->getOperand(0),
478 IntPtrTy, false);
479 Constant *NewOps[] = { C, Constant::getNullValue(C->getType()) };
480 return ConstantFoldCompareInstOperands(Predicate, NewOps, 2, TD);
481 }
482
483 // Only do this transformation if the int is intptrty in size, otherwise
484 // there is a truncation or extension that we aren't modeling.
485 if (CE0->getOpcode() == Instruction::PtrToInt &&
486 CE0->getType() == IntPtrTy) {
487 Constant *C = CE0->getOperand(0);
488 Constant *NewOps[] = { C, Constant::getNullValue(C->getType()) };
489 // FIXME!
490 return ConstantFoldCompareInstOperands(Predicate, NewOps, 2, TD);
491 }
492 }
493
Nick Lewycky3dfd7bf2008-05-25 20:56:15 +0000494 if (ConstantExpr *CE1 = dyn_cast<ConstantExpr>(Ops[1])) {
495 if (TD && CE0->getOpcode() == CE1->getOpcode()) {
496 const Type *IntPtrTy = TD->getIntPtrType();
497
498 if (CE0->getOpcode() == Instruction::IntToPtr) {
499 // Convert the integer value to the right size to ensure we get the
500 // proper extension or truncation.
501 Constant *C0 = ConstantExpr::getIntegerCast(CE0->getOperand(0),
502 IntPtrTy, false);
503 Constant *C1 = ConstantExpr::getIntegerCast(CE1->getOperand(0),
504 IntPtrTy, false);
505 Constant *NewOps[] = { C0, C1 };
506 return ConstantFoldCompareInstOperands(Predicate, NewOps, 2, TD);
507 }
508
509 // Only do this transformation if the int is intptrty in size, otherwise
510 // there is a truncation or extension that we aren't modeling.
511 if ((CE0->getOpcode() == Instruction::PtrToInt &&
512 CE0->getType() == IntPtrTy &&
513 CE0->getOperand(0)->getType() == CE1->getOperand(0)->getType())) {
514 Constant *NewOps[] = {
515 CE0->getOperand(0), CE1->getOperand(0)
516 };
517 return ConstantFoldCompareInstOperands(Predicate, NewOps, 2, TD);
518 }
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000519 }
520 }
521 }
Nate Begemanb5557ab2008-07-25 17:35:37 +0000522 return ConstantExpr::getCompare(Predicate, Ops[0], Ops[1]);
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000523}
524
525
Chris Lattner55207322007-01-30 23:45:45 +0000526/// ConstantFoldLoadThroughGEPConstantExpr - Given a constant and a
527/// getelementptr constantexpr, return the constant value being addressed by the
528/// constant expression, or null if something is funny and we can't decide.
529Constant *llvm::ConstantFoldLoadThroughGEPConstantExpr(Constant *C,
530 ConstantExpr *CE) {
531 if (CE->getOperand(1) != Constant::getNullValue(CE->getOperand(1)->getType()))
532 return 0; // Do not allow stepping over the value!
533
534 // Loop over all of the operands, tracking down which value we are
535 // addressing...
536 gep_type_iterator I = gep_type_begin(CE), E = gep_type_end(CE);
537 for (++I; I != E; ++I)
538 if (const StructType *STy = dyn_cast<StructType>(*I)) {
539 ConstantInt *CU = cast<ConstantInt>(I.getOperand());
540 assert(CU->getZExtValue() < STy->getNumElements() &&
541 "Struct index out of range!");
542 unsigned El = (unsigned)CU->getZExtValue();
543 if (ConstantStruct *CS = dyn_cast<ConstantStruct>(C)) {
544 C = CS->getOperand(El);
545 } else if (isa<ConstantAggregateZero>(C)) {
546 C = Constant::getNullValue(STy->getElementType(El));
547 } else if (isa<UndefValue>(C)) {
548 C = UndefValue::get(STy->getElementType(El));
549 } else {
550 return 0;
551 }
552 } else if (ConstantInt *CI = dyn_cast<ConstantInt>(I.getOperand())) {
553 if (const ArrayType *ATy = dyn_cast<ArrayType>(*I)) {
554 if (CI->getZExtValue() >= ATy->getNumElements())
555 return 0;
556 if (ConstantArray *CA = dyn_cast<ConstantArray>(C))
557 C = CA->getOperand(CI->getZExtValue());
558 else if (isa<ConstantAggregateZero>(C))
559 C = Constant::getNullValue(ATy->getElementType());
560 else if (isa<UndefValue>(C))
561 C = UndefValue::get(ATy->getElementType());
562 else
563 return 0;
Reid Spencer9d6565a2007-02-15 02:26:10 +0000564 } else if (const VectorType *PTy = dyn_cast<VectorType>(*I)) {
Chris Lattner55207322007-01-30 23:45:45 +0000565 if (CI->getZExtValue() >= PTy->getNumElements())
566 return 0;
Reid Spencer9d6565a2007-02-15 02:26:10 +0000567 if (ConstantVector *CP = dyn_cast<ConstantVector>(C))
Chris Lattner55207322007-01-30 23:45:45 +0000568 C = CP->getOperand(CI->getZExtValue());
569 else if (isa<ConstantAggregateZero>(C))
570 C = Constant::getNullValue(PTy->getElementType());
571 else if (isa<UndefValue>(C))
572 C = UndefValue::get(PTy->getElementType());
573 else
574 return 0;
575 } else {
576 return 0;
577 }
578 } else {
579 return 0;
580 }
581 return C;
582}
583
584
585//===----------------------------------------------------------------------===//
586// Constant Folding for Calls
587//
John Criswellbd9d3702005-10-27 16:00:10 +0000588
589/// canConstantFoldCallTo - Return true if its even possible to fold a call to
590/// the specified function.
591bool
Dan Gohmanfa9b80e2008-01-31 01:05:10 +0000592llvm::canConstantFoldCallTo(const Function *F) {
John Criswellbd9d3702005-10-27 16:00:10 +0000593 switch (F->getIntrinsicID()) {
Dale Johannesen9ab7fb32007-10-02 17:43:59 +0000594 case Intrinsic::sqrt:
595 case Intrinsic::powi:
Reid Spencere9391fd2007-04-01 07:35:23 +0000596 case Intrinsic::bswap:
597 case Intrinsic::ctpop:
598 case Intrinsic::ctlz:
599 case Intrinsic::cttz:
John Criswellbd9d3702005-10-27 16:00:10 +0000600 return true;
601 default: break;
602 }
603
Chris Lattner6f532a92009-04-03 00:02:39 +0000604 if (!F->hasName()) return false;
605 const char *Str = F->getNameStart();
606 unsigned Len = F->getNameLen();
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000607
608 // In these cases, the check of the length is required. We don't want to
609 // return true for a name like "cos\0blah" which strcmp would return equal to
610 // "cos", but has length 8.
611 switch (Str[0]) {
612 default: return false;
613 case 'a':
614 if (Len == 4)
615 return !strcmp(Str, "acos") || !strcmp(Str, "asin") ||
616 !strcmp(Str, "atan");
617 else if (Len == 5)
618 return !strcmp(Str, "atan2");
619 return false;
620 case 'c':
621 if (Len == 3)
622 return !strcmp(Str, "cos");
623 else if (Len == 4)
624 return !strcmp(Str, "ceil") || !strcmp(Str, "cosf") ||
625 !strcmp(Str, "cosh");
626 return false;
627 case 'e':
628 if (Len == 3)
629 return !strcmp(Str, "exp");
630 return false;
631 case 'f':
632 if (Len == 4)
633 return !strcmp(Str, "fabs") || !strcmp(Str, "fmod");
634 else if (Len == 5)
635 return !strcmp(Str, "floor");
636 return false;
637 break;
638 case 'l':
639 if (Len == 3 && !strcmp(Str, "log"))
640 return true;
641 if (Len == 5 && !strcmp(Str, "log10"))
642 return true;
643 return false;
644 case 'p':
645 if (Len == 3 && !strcmp(Str, "pow"))
646 return true;
647 return false;
648 case 's':
649 if (Len == 3)
650 return !strcmp(Str, "sin");
651 if (Len == 4)
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000652 return !strcmp(Str, "sinh") || !strcmp(Str, "sqrt") ||
653 !strcmp(Str, "sinf");
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000654 if (Len == 5)
655 return !strcmp(Str, "sqrtf");
656 return false;
657 case 't':
658 if (Len == 3 && !strcmp(Str, "tan"))
659 return true;
660 else if (Len == 4 && !strcmp(Str, "tanh"))
661 return true;
662 return false;
John Criswellbd9d3702005-10-27 16:00:10 +0000663 }
664}
665
Chris Lattner72d88ae2007-01-30 23:15:43 +0000666static Constant *ConstantFoldFP(double (*NativeFP)(double), double V,
667 const Type *Ty) {
John Criswellbd9d3702005-10-27 16:00:10 +0000668 errno = 0;
669 V = NativeFP(V);
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000670 if (errno != 0) {
671 errno = 0;
672 return 0;
Dale Johannesen43421b32007-09-06 18:13:44 +0000673 }
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000674
675 if (Ty == Type::FloatTy)
Chris Lattner02a260a2008-04-20 00:41:09 +0000676 return ConstantFP::get(APFloat((float)V));
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000677 if (Ty == Type::DoubleTy)
Chris Lattner02a260a2008-04-20 00:41:09 +0000678 return ConstantFP::get(APFloat(V));
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000679 assert(0 && "Can only constant fold float/double");
Gabor Greif33e456d2008-05-21 14:07:30 +0000680 return 0; // dummy return to suppress warning
John Criswellbd9d3702005-10-27 16:00:10 +0000681}
682
Dan Gohman38415242007-07-16 15:26:22 +0000683static Constant *ConstantFoldBinaryFP(double (*NativeFP)(double, double),
684 double V, double W,
685 const Type *Ty) {
686 errno = 0;
687 V = NativeFP(V, W);
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000688 if (errno != 0) {
689 errno = 0;
690 return 0;
Dale Johannesen43421b32007-09-06 18:13:44 +0000691 }
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000692
693 if (Ty == Type::FloatTy)
Chris Lattner02a260a2008-04-20 00:41:09 +0000694 return ConstantFP::get(APFloat((float)V));
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000695 if (Ty == Type::DoubleTy)
Chris Lattner02a260a2008-04-20 00:41:09 +0000696 return ConstantFP::get(APFloat(V));
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000697 assert(0 && "Can only constant fold float/double");
Gabor Greif33e456d2008-05-21 14:07:30 +0000698 return 0; // dummy return to suppress warning
Dan Gohman38415242007-07-16 15:26:22 +0000699}
700
John Criswellbd9d3702005-10-27 16:00:10 +0000701/// ConstantFoldCall - Attempt to constant fold a call to the specified function
702/// with the specified arguments, returning null if unsuccessful.
Dale Johannesen43421b32007-09-06 18:13:44 +0000703
John Criswellbd9d3702005-10-27 16:00:10 +0000704Constant *
Chris Lattnerf286f6f2007-12-10 22:53:04 +0000705llvm::ConstantFoldCall(Function *F,
706 Constant* const* Operands, unsigned NumOperands) {
Chris Lattner6f532a92009-04-03 00:02:39 +0000707 if (!F->hasName()) return 0;
708 const char *Str = F->getNameStart();
709 unsigned Len = F->getNameLen();
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000710
John Criswellbd9d3702005-10-27 16:00:10 +0000711 const Type *Ty = F->getReturnType();
Chris Lattner72d88ae2007-01-30 23:15:43 +0000712 if (NumOperands == 1) {
John Criswellbd9d3702005-10-27 16:00:10 +0000713 if (ConstantFP *Op = dyn_cast<ConstantFP>(Operands[0])) {
Dale Johannesen43421b32007-09-06 18:13:44 +0000714 if (Ty!=Type::FloatTy && Ty!=Type::DoubleTy)
715 return 0;
716 /// Currently APFloat versions of these functions do not exist, so we use
717 /// the host native double versions. Float versions are not called
718 /// directly but for all these it is true (float)(f((double)arg)) ==
719 /// f(arg). Long double not supported yet.
720 double V = Ty==Type::FloatTy ? (double)Op->getValueAPF().convertToFloat():
721 Op->getValueAPF().convertToDouble();
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000722 switch (Str[0]) {
723 case 'a':
724 if (Len == 4 && !strcmp(Str, "acos"))
725 return ConstantFoldFP(acos, V, Ty);
726 else if (Len == 4 && !strcmp(Str, "asin"))
727 return ConstantFoldFP(asin, V, Ty);
728 else if (Len == 4 && !strcmp(Str, "atan"))
729 return ConstantFoldFP(atan, V, Ty);
730 break;
731 case 'c':
732 if (Len == 4 && !strcmp(Str, "ceil"))
733 return ConstantFoldFP(ceil, V, Ty);
734 else if (Len == 3 && !strcmp(Str, "cos"))
735 return ConstantFoldFP(cos, V, Ty);
736 else if (Len == 4 && !strcmp(Str, "cosh"))
737 return ConstantFoldFP(cosh, V, Ty);
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000738 else if (Len == 4 && !strcmp(Str, "cosf"))
739 return ConstantFoldFP(cos, V, Ty);
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000740 break;
741 case 'e':
742 if (Len == 3 && !strcmp(Str, "exp"))
743 return ConstantFoldFP(exp, V, Ty);
744 break;
745 case 'f':
746 if (Len == 4 && !strcmp(Str, "fabs"))
Dale Johannesen43421b32007-09-06 18:13:44 +0000747 return ConstantFoldFP(fabs, V, Ty);
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000748 else if (Len == 5 && !strcmp(Str, "floor"))
749 return ConstantFoldFP(floor, V, Ty);
750 break;
751 case 'l':
752 if (Len == 3 && !strcmp(Str, "log") && V > 0)
753 return ConstantFoldFP(log, V, Ty);
754 else if (Len == 5 && !strcmp(Str, "log10") && V > 0)
755 return ConstantFoldFP(log10, V, Ty);
756 else if (!strcmp(Str, "llvm.sqrt.f32") ||
757 !strcmp(Str, "llvm.sqrt.f64")) {
758 if (V >= -0.0)
Dale Johannesen43421b32007-09-06 18:13:44 +0000759 return ConstantFoldFP(sqrt, V, Ty);
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000760 else // Undefined
Chris Lattner02a260a2008-04-20 00:41:09 +0000761 return Constant::getNullValue(Ty);
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000762 }
763 break;
764 case 's':
765 if (Len == 3 && !strcmp(Str, "sin"))
766 return ConstantFoldFP(sin, V, Ty);
767 else if (Len == 4 && !strcmp(Str, "sinh"))
768 return ConstantFoldFP(sinh, V, Ty);
769 else if (Len == 4 && !strcmp(Str, "sqrt") && V >= 0)
770 return ConstantFoldFP(sqrt, V, Ty);
771 else if (Len == 5 && !strcmp(Str, "sqrtf") && V >= 0)
772 return ConstantFoldFP(sqrt, V, Ty);
Chris Lattnerf19f58a2008-03-30 18:02:00 +0000773 else if (Len == 4 && !strcmp(Str, "sinf"))
774 return ConstantFoldFP(sin, V, Ty);
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000775 break;
776 case 't':
777 if (Len == 3 && !strcmp(Str, "tan"))
778 return ConstantFoldFP(tan, V, Ty);
779 else if (Len == 4 && !strcmp(Str, "tanh"))
780 return ConstantFoldFP(tanh, V, Ty);
781 break;
782 default:
783 break;
John Criswellbd9d3702005-10-27 16:00:10 +0000784 }
Reid Spencerb83eb642006-10-20 07:07:24 +0000785 } else if (ConstantInt *Op = dyn_cast<ConstantInt>(Operands[0])) {
Chris Lattnerecc02742007-11-23 22:34:59 +0000786 if (Len > 11 && !memcmp(Str, "llvm.bswap", 10))
Reid Spencere9391fd2007-04-01 07:35:23 +0000787 return ConstantInt::get(Op->getValue().byteSwap());
Chris Lattnerecc02742007-11-23 22:34:59 +0000788 else if (Len > 11 && !memcmp(Str, "llvm.ctpop", 10))
789 return ConstantInt::get(Ty, Op->getValue().countPopulation());
790 else if (Len > 10 && !memcmp(Str, "llvm.cttz", 9))
791 return ConstantInt::get(Ty, Op->getValue().countTrailingZeros());
792 else if (Len > 10 && !memcmp(Str, "llvm.ctlz", 9))
793 return ConstantInt::get(Ty, Op->getValue().countLeadingZeros());
John Criswellbd9d3702005-10-27 16:00:10 +0000794 }
Chris Lattner72d88ae2007-01-30 23:15:43 +0000795 } else if (NumOperands == 2) {
John Criswellbd9d3702005-10-27 16:00:10 +0000796 if (ConstantFP *Op1 = dyn_cast<ConstantFP>(Operands[0])) {
Dale Johannesen9ab7fb32007-10-02 17:43:59 +0000797 if (Ty!=Type::FloatTy && Ty!=Type::DoubleTy)
798 return 0;
Dale Johannesen43421b32007-09-06 18:13:44 +0000799 double Op1V = Ty==Type::FloatTy ?
800 (double)Op1->getValueAPF().convertToFloat():
801 Op1->getValueAPF().convertToDouble();
John Criswellbd9d3702005-10-27 16:00:10 +0000802 if (ConstantFP *Op2 = dyn_cast<ConstantFP>(Operands[1])) {
Dale Johannesen43421b32007-09-06 18:13:44 +0000803 double Op2V = Ty==Type::FloatTy ?
804 (double)Op2->getValueAPF().convertToFloat():
805 Op2->getValueAPF().convertToDouble();
John Criswellbd9d3702005-10-27 16:00:10 +0000806
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000807 if (Len == 3 && !strcmp(Str, "pow")) {
Dan Gohman38415242007-07-16 15:26:22 +0000808 return ConstantFoldBinaryFP(pow, Op1V, Op2V, Ty);
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000809 } else if (Len == 4 && !strcmp(Str, "fmod")) {
Dan Gohman38415242007-07-16 15:26:22 +0000810 return ConstantFoldBinaryFP(fmod, Op1V, Op2V, Ty);
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000811 } else if (Len == 5 && !strcmp(Str, "atan2")) {
Dan Gohman38415242007-07-16 15:26:22 +0000812 return ConstantFoldBinaryFP(atan2, Op1V, Op2V, Ty);
Chris Lattnerb5282dc2007-01-15 06:27:37 +0000813 }
814 } else if (ConstantInt *Op2C = dyn_cast<ConstantInt>(Operands[1])) {
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000815 if (!strcmp(Str, "llvm.powi.f32")) {
Chris Lattner02a260a2008-04-20 00:41:09 +0000816 return ConstantFP::get(APFloat((float)std::pow((float)Op1V,
817 (int)Op2C->getZExtValue())));
Chris Lattnerc5f6a1f2007-08-08 06:55:43 +0000818 } else if (!strcmp(Str, "llvm.powi.f64")) {
Chris Lattner02a260a2008-04-20 00:41:09 +0000819 return ConstantFP::get(APFloat((double)std::pow((double)Op1V,
820 (int)Op2C->getZExtValue())));
Chris Lattnerb5282dc2007-01-15 06:27:37 +0000821 }
John Criswellbd9d3702005-10-27 16:00:10 +0000822 }
823 }
824 }
825 return 0;
826}
827