1 //===- ScalarEvolutionsTest.cpp - ScalarEvolution unit tests --------------===//
3 // The LLVM Compiler Infrastructure
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
8 //===----------------------------------------------------------------------===//
10 #include "llvm/Analysis/ScalarEvolutionExpressions.h"
11 #include "llvm/Analysis/LoopInfo.h"
12 #include "llvm/GlobalVariable.h"
13 #include "llvm/Constants.h"
14 #include "llvm/LLVMContext.h"
15 #include "llvm/Module.h"
16 #include "llvm/PassManager.h"
17 #include "llvm/ADT/SmallVector.h"
18 #include "gtest/gtest.h"
23 // We use this fixture to ensure that we clean up ScalarEvolution before
24 // deleting the PassManager.
25 class ScalarEvolutionsTest : public testing::Test {
27 ScalarEvolutionsTest() : M("", Context), SE(*new ScalarEvolution) {}
28 ~ScalarEvolutionsTest() {
29 // Manually clean up, since we allocated new SCEV objects after the
39 TEST_F(ScalarEvolutionsTest, SCEVUnknownRAUW) {
40 FunctionType *FTy = FunctionType::get(Type::getVoidTy(Context),
41 std::vector<Type *>(), false);
42 Function *F = cast<Function>(M.getOrInsertFunction("f", FTy));
43 BasicBlock *BB = BasicBlock::Create(Context, "entry", F);
44 ReturnInst::Create(Context, 0, BB);
46 Type *Ty = Type::getInt1Ty(Context);
47 Constant *Init = Constant::getNullValue(Ty);
48 Value *V0 = new GlobalVariable(M, Ty, false, GlobalValue::ExternalLinkage, Init, "V0");
49 Value *V1 = new GlobalVariable(M, Ty, false, GlobalValue::ExternalLinkage, Init, "V1");
50 Value *V2 = new GlobalVariable(M, Ty, false, GlobalValue::ExternalLinkage, Init, "V2");
52 // Create a ScalarEvolution and "run" it so that it gets initialized.
56 const SCEV *S0 = SE.getSCEV(V0);
57 const SCEV *S1 = SE.getSCEV(V1);
58 const SCEV *S2 = SE.getSCEV(V2);
60 const SCEV *P0 = SE.getAddExpr(S0, S0);
61 const SCEV *P1 = SE.getAddExpr(S1, S1);
62 const SCEV *P2 = SE.getAddExpr(S2, S2);
64 const SCEVMulExpr *M0 = cast<SCEVMulExpr>(P0);
65 const SCEVMulExpr *M1 = cast<SCEVMulExpr>(P1);
66 const SCEVMulExpr *M2 = cast<SCEVMulExpr>(P2);
68 EXPECT_EQ(cast<SCEVConstant>(M0->getOperand(0))->getValue()->getZExtValue(),
70 EXPECT_EQ(cast<SCEVConstant>(M1->getOperand(0))->getValue()->getZExtValue(),
72 EXPECT_EQ(cast<SCEVConstant>(M2->getOperand(0))->getValue()->getZExtValue(),
75 // Before the RAUWs, these are all pointing to separate values.
76 EXPECT_EQ(cast<SCEVUnknown>(M0->getOperand(1))->getValue(), V0);
77 EXPECT_EQ(cast<SCEVUnknown>(M1->getOperand(1))->getValue(), V1);
78 EXPECT_EQ(cast<SCEVUnknown>(M2->getOperand(1))->getValue(), V2);
81 V2->replaceAllUsesWith(V1);
82 V1->replaceAllUsesWith(V0);
84 // After the RAUWs, these should all be pointing to V0.
85 EXPECT_EQ(cast<SCEVUnknown>(M0->getOperand(1))->getValue(), V0);
86 EXPECT_EQ(cast<SCEVUnknown>(M1->getOperand(1))->getValue(), V0);
87 EXPECT_EQ(cast<SCEVUnknown>(M2->getOperand(1))->getValue(), V0);
90 TEST_F(ScalarEvolutionsTest, SCEVMultiplyAddRecs) {
91 Type *Ty = Type::getInt32Ty(Context);
92 SmallVector<Type *, 10> Types;
94 FunctionType *FTy = FunctionType::get(Type::getVoidTy(Context), Types, false);
95 Function *F = cast<Function>(M.getOrInsertFunction("f", FTy));
96 BasicBlock *BB = BasicBlock::Create(Context, "entry", F);
97 ReturnInst::Create(Context, 0, BB);
99 // Create a ScalarEvolution and "run" it so that it gets initialized.
103 // It's possible to produce an empty loop through the default constructor,
104 // but you can't add any blocks to it without a LoopInfo pass.
106 const_cast<std::vector<BasicBlock*>&>(L.getBlocks()).push_back(BB);
108 Function::arg_iterator AI = F->arg_begin();
109 SmallVector<const SCEV *, 5> A;
110 A.push_back(SE.getSCEV(&*AI++));
111 A.push_back(SE.getSCEV(&*AI++));
112 A.push_back(SE.getSCEV(&*AI++));
113 A.push_back(SE.getSCEV(&*AI++));
114 A.push_back(SE.getSCEV(&*AI++));
115 const SCEV *A_rec = SE.getAddRecExpr(A, &L, SCEV::FlagAnyWrap);
117 SmallVector<const SCEV *, 5> B;
118 B.push_back(SE.getSCEV(&*AI++));
119 B.push_back(SE.getSCEV(&*AI++));
120 B.push_back(SE.getSCEV(&*AI++));
121 B.push_back(SE.getSCEV(&*AI++));
122 B.push_back(SE.getSCEV(&*AI++));
123 const SCEV *B_rec = SE.getAddRecExpr(B, &L, SCEV::FlagAnyWrap);
125 /* Spot check that we perform this transformation:
126 {A0,+,A1,+,A2,+,A3,+,A4} * {B0,+,B1,+,B2,+,B3,+,B4} =
128 A1*B0 + A0*B1 + A1*B1,+,
129 A2*B0 + 2A1*B1 + A0*B2 + 2A2*B1 + 2A1*B2 + A2*B2,+,
130 A3*B0 + 3A2*B1 + 3A1*B2 + A0*B3 + 3A3*B1 + 6A2*B2 + 3A1*B3 + 3A3*B2 +
132 A4*B0 + 4A3*B1 + 6A2*B2 + 4A1*B3 + A0*B4 + 4A4*B1 + 12A3*B2 + 12A2*B3 +
133 4A1*B4 + 6A4*B2 + 12A3*B3 + 6A2*B4 + 4A4*B3 + 4A3*B4 + A4*B4,+,
134 5A4*B1 + 10A3*B2 + 10A2*B3 + 5A1*B4 + 20A4*B2 + 30A3*B3 + 20A2*B4 +
135 30A4*B3 + 30A3*B4 + 20A4*B4,+,
136 15A4*B2 + 20A3*B3 + 15A2*B4 + 60A4*B3 + 60A3*B4 + 90A4*B4,+,
137 35A4*B3 + 35A3*B4 + 140A4*B4,+,
141 const SCEVAddRecExpr *Product =
142 dyn_cast<SCEVAddRecExpr>(SE.getMulExpr(A_rec, B_rec));
143 ASSERT_TRUE(Product);
144 ASSERT_EQ(Product->getNumOperands(), 9u);
146 SmallVector<const SCEV *, 16> Sum;
147 Sum.push_back(SE.getMulExpr(A[0], B[0]));
148 EXPECT_EQ(Product->getOperand(0), SE.getAddExpr(Sum));
151 // SCEV produces different an equal but different expression for these.
152 // Re-enable when PR11052 is fixed.
154 Sum.push_back(SE.getMulExpr(A[1], B[0]));
155 Sum.push_back(SE.getMulExpr(A[0], B[1]));
156 Sum.push_back(SE.getMulExpr(A[1], B[1]));
157 EXPECT_EQ(Product->getOperand(1), SE.getAddExpr(Sum));
160 Sum.push_back(SE.getMulExpr(A[2], B[0]));
161 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 2), A[1], B[1]));
162 Sum.push_back(SE.getMulExpr(A[0], B[2]));
163 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 2), A[2], B[1]));
164 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 2), A[1], B[2]));
165 Sum.push_back(SE.getMulExpr(A[2], B[2]));
166 EXPECT_EQ(Product->getOperand(2), SE.getAddExpr(Sum));
169 Sum.push_back(SE.getMulExpr(A[3], B[0]));
170 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 3), A[2], B[1]));
171 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 3), A[1], B[2]));
172 Sum.push_back(SE.getMulExpr(A[0], B[3]));
173 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 3), A[3], B[1]));
174 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 6), A[2], B[2]));
175 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 3), A[1], B[3]));
176 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 3), A[3], B[2]));
177 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 3), A[2], B[3]));
178 Sum.push_back(SE.getMulExpr(A[3], B[3]));
179 EXPECT_EQ(Product->getOperand(3), SE.getAddExpr(Sum));
182 Sum.push_back(SE.getMulExpr(A[4], B[0]));
183 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 4), A[3], B[1]));
184 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 6), A[2], B[2]));
185 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 4), A[1], B[3]));
186 Sum.push_back(SE.getMulExpr(A[0], B[4]));
187 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 4), A[4], B[1]));
188 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 12), A[3], B[2]));
189 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 12), A[2], B[3]));
190 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 4), A[1], B[4]));
191 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 6), A[4], B[2]));
192 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 12), A[3], B[3]));
193 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 6), A[2], B[4]));
194 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 4), A[4], B[3]));
195 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 4), A[3], B[4]));
196 Sum.push_back(SE.getMulExpr(A[4], B[4]));
197 EXPECT_EQ(Product->getOperand(4), SE.getAddExpr(Sum));
200 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 5), A[4], B[1]));
201 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 10), A[3], B[2]));
202 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 10), A[2], B[3]));
203 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 5), A[1], B[4]));
204 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 20), A[4], B[2]));
205 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 30), A[3], B[3]));
206 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 20), A[2], B[4]));
207 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 30), A[4], B[3]));
208 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 30), A[3], B[4]));
209 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 20), A[4], B[4]));
210 EXPECT_EQ(Product->getOperand(5), SE.getAddExpr(Sum));
213 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 15), A[4], B[2]));
214 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 20), A[3], B[3]));
215 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 15), A[2], B[4]));
216 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 60), A[4], B[3]));
217 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 60), A[3], B[4]));
218 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 90), A[4], B[4]));
219 EXPECT_EQ(Product->getOperand(6), SE.getAddExpr(Sum));
222 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 35), A[4], B[3]));
223 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 35), A[3], B[4]));
224 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 140), A[4], B[4]));
225 EXPECT_EQ(Product->getOperand(7), SE.getAddExpr(Sum));
229 Sum.push_back(SE.getMulExpr(SE.getConstant(Ty, 70), A[4], B[4]));
230 EXPECT_EQ(Product->getOperand(8), SE.getAddExpr(Sum));
233 } // end anonymous namespace
234 } // end namespace llvm