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1 /*
2  * Copyright (C) 2015 The Android Open Source Project
3  *
4  * Licensed under the Apache License, Version 2.0 (the "License");
5  * you may not use this file except in compliance with the License.
6  * You may obtain a copy of the License at
7  *
8  *      http://www.apache.org/licenses/LICENSE-2.0
9  *
10  * Unless required by applicable law or agreed to in writing, software
11  * distributed under the License is distributed on an "AS IS" BASIS,
12  * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
13  * See the License for the specific language governing permissions and
14  * limitations under the License.
15  */
16 
17 #include "induction_var_range.h"
18 
19 #include "base/arena_allocator.h"
20 #include "base/macros.h"
21 #include "builder.h"
22 #include "induction_var_analysis.h"
23 #include "nodes.h"
24 #include "optimizing_unit_test.h"
25 
26 namespace art HIDDEN {
27 
28 using Value = InductionVarRange::Value;
29 
30 /**
31  * Fixture class for the InductionVarRange tests.
32  */
33 class InductionVarRangeTest : public OptimizingUnitTest {
34  public:
InductionVarRangeTest()35   InductionVarRangeTest()
36       : graph_(CreateGraph()),
37         iva_(new (GetAllocator()) HInductionVarAnalysis(graph_)),
38         range_(iva_) {
39     BuildGraph();
40   }
41 
~InductionVarRangeTest()42   ~InductionVarRangeTest() { }
43 
ExpectEqual(Value v1,Value v2)44   void ExpectEqual(Value v1, Value v2) {
45     EXPECT_EQ(v1.instruction, v2.instruction);
46     EXPECT_EQ(v1.a_constant, v2.a_constant);
47     EXPECT_EQ(v1.b_constant, v2.b_constant);
48     EXPECT_EQ(v1.is_known, v2.is_known);
49   }
50 
ExpectInt(int32_t value,HInstruction * i)51   void ExpectInt(int32_t value, HInstruction* i) {
52     ASSERT_TRUE(i->IsIntConstant());
53     EXPECT_EQ(value, i->AsIntConstant()->GetValue());
54   }
55 
56   //
57   // Construction methods.
58   //
59 
60   /** Constructs bare minimum graph. */
BuildGraph()61   void BuildGraph() {
62     graph_->SetNumberOfVRegs(1);
63     entry_block_ = new (GetAllocator()) HBasicBlock(graph_);
64     exit_block_ = new (GetAllocator()) HBasicBlock(graph_);
65     graph_->AddBlock(entry_block_);
66     graph_->AddBlock(exit_block_);
67     graph_->SetEntryBlock(entry_block_);
68     graph_->SetExitBlock(exit_block_);
69     // Two parameters.
70     x_ = new (GetAllocator()) HParameterValue(graph_->GetDexFile(),
71                                               dex::TypeIndex(0),
72                                               0,
73                                               DataType::Type::kInt32);
74     entry_block_->AddInstruction(x_);
75     y_ = new (GetAllocator()) HParameterValue(graph_->GetDexFile(),
76                                               dex::TypeIndex(0),
77                                               0,
78                                               DataType::Type::kInt32);
79     entry_block_->AddInstruction(y_);
80     // Set arbitrary range analysis hint while testing private methods.
81     SetHint(x_);
82   }
83 
84   /** Constructs loop with given upper bound. */
BuildLoop(int32_t lower,HInstruction * upper,int32_t stride)85   void BuildLoop(int32_t lower, HInstruction* upper, int32_t stride) {
86     // Control flow.
87     loop_preheader_ = new (GetAllocator()) HBasicBlock(graph_);
88     graph_->AddBlock(loop_preheader_);
89     loop_header_ = new (GetAllocator()) HBasicBlock(graph_);
90     graph_->AddBlock(loop_header_);
91     loop_body_ = new (GetAllocator()) HBasicBlock(graph_);
92     graph_->AddBlock(loop_body_);
93     HBasicBlock* return_block = new (GetAllocator()) HBasicBlock(graph_);
94     graph_->AddBlock(return_block);
95     entry_block_->AddSuccessor(loop_preheader_);
96     loop_preheader_->AddSuccessor(loop_header_);
97     loop_header_->AddSuccessor(loop_body_);
98     loop_header_->AddSuccessor(return_block);
99     loop_body_->AddSuccessor(loop_header_);
100     return_block->AddSuccessor(exit_block_);
101     // Instructions.
102     loop_preheader_->AddInstruction(new (GetAllocator()) HGoto());
103     HPhi* phi = new (GetAllocator()) HPhi(GetAllocator(), 0, 0, DataType::Type::kInt32);
104     loop_header_->AddPhi(phi);
105     phi->AddInput(graph_->GetIntConstant(lower));  // i = l
106     if (stride > 0) {
107       condition_ = new (GetAllocator()) HLessThan(phi, upper);  // i < u
108     } else {
109       condition_ = new (GetAllocator()) HGreaterThan(phi, upper);  // i > u
110     }
111     loop_header_->AddInstruction(condition_);
112     loop_header_->AddInstruction(new (GetAllocator()) HIf(condition_));
113     increment_ =
114         new (GetAllocator()) HAdd(DataType::Type::kInt32, phi, graph_->GetIntConstant(stride));
115     loop_body_->AddInstruction(increment_);  // i += s
116     phi->AddInput(increment_);
117     loop_body_->AddInstruction(new (GetAllocator()) HGoto());
118     return_block->AddInstruction(new (GetAllocator()) HReturnVoid());
119     exit_block_->AddInstruction(new (GetAllocator()) HExit());
120   }
121 
122   /** Constructs SSA and performs induction variable analysis. */
PerformInductionVarAnalysis()123   void PerformInductionVarAnalysis() {
124     graph_->BuildDominatorTree();
125     iva_->Run();
126   }
127 
128   /** Sets hint. */
SetHint(HInstruction * hint)129   void SetHint(HInstruction* hint) {
130     range_.chase_hint_ = hint;
131   }
132 
133   /** Constructs an invariant. */
CreateInvariant(char opc,HInductionVarAnalysis::InductionInfo * a,HInductionVarAnalysis::InductionInfo * b)134   HInductionVarAnalysis::InductionInfo* CreateInvariant(char opc,
135                                                         HInductionVarAnalysis::InductionInfo* a,
136                                                         HInductionVarAnalysis::InductionInfo* b) {
137     HInductionVarAnalysis::InductionOp op;
138     switch (opc) {
139       case '+': op = HInductionVarAnalysis::kAdd; break;
140       case '-': op = HInductionVarAnalysis::kSub; break;
141       case 'n': op = HInductionVarAnalysis::kNeg; break;
142       case '*': op = HInductionVarAnalysis::kMul; break;
143       case '/': op = HInductionVarAnalysis::kDiv; break;
144       case '%': op = HInductionVarAnalysis::kRem; break;
145       case '^': op = HInductionVarAnalysis::kXor; break;
146       case '<': op = HInductionVarAnalysis::kLT;  break;
147       default:  op = HInductionVarAnalysis::kNop; break;
148     }
149     // Use bogus loop information and context out of the bogus loop.
150     HLoopInformation loop(exit_block_, graph_);
151     HBasicBlock* context = entry_block_;
152     return iva_->CreateInvariantOp(context, &loop, op, a, b);
153   }
154 
155   /** Constructs a fetch. */
CreateFetch(HInstruction * fetch)156   HInductionVarAnalysis::InductionInfo* CreateFetch(HInstruction* fetch) {
157     return iva_->CreateInvariantFetch(fetch);
158   }
159 
160   /** Constructs a constant. */
CreateConst(int32_t c)161   HInductionVarAnalysis::InductionInfo* CreateConst(int32_t c) {
162     return CreateFetch(graph_->GetIntConstant(c));
163   }
164 
165   /** Constructs a constant trip-count. */
CreateTripCount(int32_t tc,bool in_loop,bool safe)166   HInductionVarAnalysis::InductionInfo* CreateTripCount(int32_t tc, bool in_loop, bool safe) {
167     HInductionVarAnalysis::InductionOp op = HInductionVarAnalysis::kTripCountInBodyUnsafe;
168     if (in_loop && safe) {
169       op = HInductionVarAnalysis::kTripCountInLoop;
170     } else if (in_loop) {
171       op = HInductionVarAnalysis::kTripCountInLoopUnsafe;
172     } else if (safe) {
173       op = HInductionVarAnalysis::kTripCountInBody;
174     }
175     // Return TC with taken-test 0 < TC.
176     return iva_->CreateTripCount(op,
177                                  CreateConst(tc),
178                                  CreateInvariant('<', CreateConst(0), CreateConst(tc)),
179                                  DataType::Type::kInt32);
180   }
181 
182   /** Constructs a linear a * i + b induction. */
CreateLinear(int32_t a,int32_t b)183   HInductionVarAnalysis::InductionInfo* CreateLinear(int32_t a, int32_t b) {
184     return iva_->CreateInduction(HInductionVarAnalysis::kLinear,
185                                  HInductionVarAnalysis::kNop,
186                                  CreateConst(a),
187                                  CreateConst(b),
188                                  nullptr,
189                                  DataType::Type::kInt32);
190   }
191 
192   /** Constructs a polynomial sum(a * i + b) + c induction. */
CreatePolynomial(int32_t a,int32_t b,int32_t c)193   HInductionVarAnalysis::InductionInfo* CreatePolynomial(int32_t a, int32_t b, int32_t c) {
194     return iva_->CreateInduction(HInductionVarAnalysis::kPolynomial,
195                                  HInductionVarAnalysis::kNop,
196                                  CreateLinear(a, b),
197                                  CreateConst(c),
198                                  nullptr,
199                                  DataType::Type::kInt32);
200   }
201 
202   /** Constructs a geometric a * f^i + b induction. */
CreateGeometric(int32_t a,int32_t b,int32_t f,char op)203   HInductionVarAnalysis::InductionInfo* CreateGeometric(int32_t a, int32_t b, int32_t f, char op) {
204     return iva_->CreateInduction(HInductionVarAnalysis::kGeometric,
205                                  op == '*' ? HInductionVarAnalysis::kMul
206                                            : HInductionVarAnalysis::kDiv,
207                                  CreateConst(a),
208                                  CreateConst(b),
209                                  graph_->GetIntConstant(f),
210                                  DataType::Type::kInt32);
211   }
212 
213   /** Constructs a range [lo, hi] using a periodic induction. */
CreateRange(int32_t lo,int32_t hi)214   HInductionVarAnalysis::InductionInfo* CreateRange(int32_t lo, int32_t hi) {
215     return iva_->CreateInduction(HInductionVarAnalysis::kPeriodic,
216                                  HInductionVarAnalysis::kNop,
217                                  CreateConst(lo),
218                                  CreateConst(hi),
219                                  nullptr,
220                                  DataType::Type::kInt32);
221   }
222 
223   /** Constructs a wrap-around induction consisting of a constant, followed by info. */
CreateWrapAround(int32_t initial,HInductionVarAnalysis::InductionInfo * info)224   HInductionVarAnalysis::InductionInfo* CreateWrapAround(
225       int32_t initial,
226       HInductionVarAnalysis::InductionInfo* info) {
227     return iva_->CreateInduction(HInductionVarAnalysis::kWrapAround,
228                                  HInductionVarAnalysis::kNop,
229                                  CreateConst(initial),
230                                  info,
231                                  nullptr,
232                                  DataType::Type::kInt32);
233   }
234 
235   /** Constructs a wrap-around induction consisting of a constant, followed by a range. */
CreateWrapAround(int32_t initial,int32_t lo,int32_t hi)236   HInductionVarAnalysis::InductionInfo* CreateWrapAround(int32_t initial, int32_t lo, int32_t hi) {
237     return CreateWrapAround(initial, CreateRange(lo, hi));
238   }
239 
240   //
241   // Relay methods.
242   //
243 
NeedsTripCount(HInductionVarAnalysis::InductionInfo * info)244   bool NeedsTripCount(HInductionVarAnalysis::InductionInfo* info) {
245     // Use bogus loop information and context out of the bogus loop.
246     HLoopInformation loop(exit_block_, graph_);
247     HBasicBlock* context = entry_block_;
248     int64_t s = 0;
249     return range_.NeedsTripCount(context, &loop, info, &s);
250   }
251 
IsBodyTripCount(HInductionVarAnalysis::InductionInfo * trip)252   bool IsBodyTripCount(HInductionVarAnalysis::InductionInfo* trip) {
253     return range_.IsBodyTripCount(trip);
254   }
255 
IsUnsafeTripCount(HInductionVarAnalysis::InductionInfo * trip)256   bool IsUnsafeTripCount(HInductionVarAnalysis::InductionInfo* trip) {
257     return range_.IsUnsafeTripCount(trip);
258   }
259 
GetMin(HInductionVarAnalysis::InductionInfo * info,HInductionVarAnalysis::InductionInfo * trip)260   Value GetMin(HInductionVarAnalysis::InductionInfo* info,
261                HInductionVarAnalysis::InductionInfo* trip) {
262     // Use bogus loop information and context out of the bogus loop.
263     HLoopInformation loop(exit_block_, graph_);
264     HBasicBlock* context = entry_block_;
265     return GetMin(context, &loop, info, trip);
266   }
267 
GetMin(HBasicBlock * context,HLoopInformation * loop,HInductionVarAnalysis::InductionInfo * info,HInductionVarAnalysis::InductionInfo * trip)268   Value GetMin(HBasicBlock* context,
269                HLoopInformation* loop,
270                HInductionVarAnalysis::InductionInfo* info,
271                HInductionVarAnalysis::InductionInfo* trip) {
272     return range_.GetVal(context, loop, info, trip, /*is_min=*/ true);
273   }
274 
GetMax(HInductionVarAnalysis::InductionInfo * info,HInductionVarAnalysis::InductionInfo * trip)275   Value GetMax(HInductionVarAnalysis::InductionInfo* info,
276                HInductionVarAnalysis::InductionInfo* trip) {
277     // Use bogus loop information and context out of the bogus loop.
278     HLoopInformation loop(exit_block_, graph_);
279     HBasicBlock* context = entry_block_;
280     return GetMax(context, &loop, info, trip);
281   }
282 
GetMax(HBasicBlock * context,HLoopInformation * loop,HInductionVarAnalysis::InductionInfo * info,HInductionVarAnalysis::InductionInfo * trip)283   Value GetMax(HBasicBlock* context,
284                HLoopInformation* loop,
285                HInductionVarAnalysis::InductionInfo* info,
286                HInductionVarAnalysis::InductionInfo* trip) {
287     return range_.GetVal(context, loop, info, trip, /*is_min=*/ false);
288   }
289 
GetMul(HInductionVarAnalysis::InductionInfo * info1,HInductionVarAnalysis::InductionInfo * info2,bool is_min)290   Value GetMul(HInductionVarAnalysis::InductionInfo* info1,
291                HInductionVarAnalysis::InductionInfo* info2,
292                bool is_min) {
293     // Use bogus loop information and context out of the bogus loop.
294     HLoopInformation loop(exit_block_, graph_);
295     HBasicBlock* context = entry_block_;
296     return range_.GetMul(context, &loop, info1, info2, nullptr, is_min);
297   }
298 
GetDiv(HInductionVarAnalysis::InductionInfo * info1,HInductionVarAnalysis::InductionInfo * info2,bool is_min)299   Value GetDiv(HInductionVarAnalysis::InductionInfo* info1,
300                HInductionVarAnalysis::InductionInfo* info2,
301                bool is_min) {
302     // Use bogus loop information and context out of the bogus loop.
303     HLoopInformation loop(exit_block_, graph_);
304     HBasicBlock* context = entry_block_;
305     return range_.GetDiv(context, &loop, info1, info2, nullptr, is_min);
306   }
307 
GetRem(HInductionVarAnalysis::InductionInfo * info1,HInductionVarAnalysis::InductionInfo * info2)308   Value GetRem(HInductionVarAnalysis::InductionInfo* info1,
309                HInductionVarAnalysis::InductionInfo* info2) {
310     // Use bogus loop information and context out of the bogus loop.
311     HLoopInformation loop(exit_block_, graph_);
312     HBasicBlock* context = entry_block_;
313     return range_.GetRem(context, &loop, info1, info2);
314   }
315 
GetXor(HInductionVarAnalysis::InductionInfo * info1,HInductionVarAnalysis::InductionInfo * info2)316   Value GetXor(HInductionVarAnalysis::InductionInfo* info1,
317                HInductionVarAnalysis::InductionInfo* info2) {
318     // Use bogus loop information and context out of the bogus loop.
319     HLoopInformation loop(exit_block_, graph_);
320     HBasicBlock* context = entry_block_;
321     return range_.GetXor(context, &loop, info1, info2);
322   }
323 
IsExact(HInductionVarAnalysis::InductionInfo * info,int64_t * value)324   bool IsExact(HInductionVarAnalysis::InductionInfo* info, int64_t* value) {
325     // Use bogus loop information and context out of the bogus loop.
326     HLoopInformation loop(exit_block_, graph_);
327     HBasicBlock* context = entry_block_;
328     return range_.IsConstant(context, &loop, info, InductionVarRange::kExact, value);
329   }
330 
IsAtMost(HInductionVarAnalysis::InductionInfo * info,int64_t * value)331   bool IsAtMost(HInductionVarAnalysis::InductionInfo* info, int64_t* value) {
332     // Use bogus loop information and context out of the bogus loop.
333     HLoopInformation loop(exit_block_, graph_);
334     HBasicBlock* context = entry_block_;
335     return range_.IsConstant(context, &loop, info, InductionVarRange::kAtMost, value);
336   }
337 
IsAtLeast(HInductionVarAnalysis::InductionInfo * info,int64_t * value)338   bool IsAtLeast(HInductionVarAnalysis::InductionInfo* info, int64_t* value) {
339     // Use bogus loop information and context out of the bogus loop.
340     HLoopInformation loop(exit_block_, graph_);
341     HBasicBlock* context = entry_block_;
342     return range_.IsConstant(context, &loop, info, InductionVarRange::kAtLeast, value);
343   }
344 
AddValue(Value v1,Value v2)345   Value AddValue(Value v1, Value v2) { return range_.AddValue(v1, v2); }
SubValue(Value v1,Value v2)346   Value SubValue(Value v1, Value v2) { return range_.SubValue(v1, v2); }
MulValue(Value v1,Value v2)347   Value MulValue(Value v1, Value v2) { return range_.MulValue(v1, v2); }
DivValue(Value v1,Value v2)348   Value DivValue(Value v1, Value v2) { return range_.DivValue(v1, v2); }
MinValue(Value v1,Value v2)349   Value MinValue(Value v1, Value v2) { return range_.MergeVal(v1, v2, true); }
MaxValue(Value v1,Value v2)350   Value MaxValue(Value v1, Value v2) { return range_.MergeVal(v1, v2, false); }
351 
352   // General building fields.
353   HGraph* graph_;
354   HBasicBlock* entry_block_;
355   HBasicBlock* exit_block_;
356   HBasicBlock* loop_preheader_;
357   HBasicBlock* loop_header_;
358   HBasicBlock* loop_body_;
359   HInductionVarAnalysis* iva_;
360   InductionVarRange range_;
361 
362   // Instructions.
363   HInstruction* condition_;
364   HInstruction* increment_;
365   HInstruction* x_;
366   HInstruction* y_;
367 };
368 
369 //
370 // Tests on private methods.
371 //
372 
TEST_F(InductionVarRangeTest,IsConstant)373 TEST_F(InductionVarRangeTest, IsConstant) {
374   int64_t value;
375   // Constant.
376   EXPECT_TRUE(IsExact(CreateConst(12345), &value));
377   EXPECT_EQ(12345, value);
378   EXPECT_TRUE(IsAtMost(CreateConst(12345), &value));
379   EXPECT_EQ(12345, value);
380   EXPECT_TRUE(IsAtLeast(CreateConst(12345), &value));
381   EXPECT_EQ(12345, value);
382   // Constant trivial range.
383   EXPECT_TRUE(IsExact(CreateRange(111, 111), &value));
384   EXPECT_EQ(111, value);
385   EXPECT_TRUE(IsAtMost(CreateRange(111, 111), &value));
386   EXPECT_EQ(111, value);
387   EXPECT_TRUE(IsAtLeast(CreateRange(111, 111), &value));
388   EXPECT_EQ(111, value);
389   // Constant non-trivial range.
390   EXPECT_FALSE(IsExact(CreateRange(11, 22), &value));
391   EXPECT_TRUE(IsAtMost(CreateRange(11, 22), &value));
392   EXPECT_EQ(22, value);
393   EXPECT_TRUE(IsAtLeast(CreateRange(11, 22), &value));
394   EXPECT_EQ(11, value);
395   // Symbolic.
396   EXPECT_FALSE(IsExact(CreateFetch(x_), &value));
397   EXPECT_FALSE(IsAtMost(CreateFetch(x_), &value));
398   EXPECT_FALSE(IsAtLeast(CreateFetch(x_), &value));
399 }
400 
TEST_F(InductionVarRangeTest,TripCountProperties)401 TEST_F(InductionVarRangeTest, TripCountProperties) {
402   EXPECT_FALSE(NeedsTripCount(nullptr));
403   EXPECT_FALSE(NeedsTripCount(CreateConst(1)));
404   EXPECT_TRUE(NeedsTripCount(CreateLinear(1, 1)));
405   EXPECT_FALSE(NeedsTripCount(CreateWrapAround(1, 2, 3)));
406   EXPECT_TRUE(NeedsTripCount(CreateWrapAround(1, CreateLinear(1, 1))));
407 
408   EXPECT_FALSE(IsBodyTripCount(nullptr));
409   EXPECT_FALSE(IsBodyTripCount(CreateTripCount(100, true, true)));
410   EXPECT_FALSE(IsBodyTripCount(CreateTripCount(100, true, false)));
411   EXPECT_TRUE(IsBodyTripCount(CreateTripCount(100, false, true)));
412   EXPECT_TRUE(IsBodyTripCount(CreateTripCount(100, false, false)));
413 
414   EXPECT_FALSE(IsUnsafeTripCount(nullptr));
415   EXPECT_FALSE(IsUnsafeTripCount(CreateTripCount(100, true, true)));
416   EXPECT_TRUE(IsUnsafeTripCount(CreateTripCount(100, true, false)));
417   EXPECT_FALSE(IsUnsafeTripCount(CreateTripCount(100, false, true)));
418   EXPECT_TRUE(IsUnsafeTripCount(CreateTripCount(100, false, false)));
419 }
420 
TEST_F(InductionVarRangeTest,GetMinMaxNull)421 TEST_F(InductionVarRangeTest, GetMinMaxNull) {
422   ExpectEqual(Value(), GetMin(nullptr, nullptr));
423   ExpectEqual(Value(), GetMax(nullptr, nullptr));
424 }
425 
TEST_F(InductionVarRangeTest,GetMinMaxAdd)426 TEST_F(InductionVarRangeTest, GetMinMaxAdd) {
427   ExpectEqual(Value(12),
428               GetMin(CreateInvariant('+', CreateConst(2), CreateRange(10, 20)), nullptr));
429   ExpectEqual(Value(22),
430               GetMax(CreateInvariant('+', CreateConst(2), CreateRange(10, 20)), nullptr));
431   ExpectEqual(Value(x_, 1, -20),
432               GetMin(CreateInvariant('+', CreateFetch(x_), CreateRange(-20, -10)), nullptr));
433   ExpectEqual(Value(x_, 1, -10),
434               GetMax(CreateInvariant('+', CreateFetch(x_), CreateRange(-20, -10)), nullptr));
435   ExpectEqual(Value(x_, 1, 10),
436               GetMin(CreateInvariant('+', CreateRange(10, 20), CreateFetch(x_)), nullptr));
437   ExpectEqual(Value(x_, 1, 20),
438               GetMax(CreateInvariant('+', CreateRange(10, 20), CreateFetch(x_)), nullptr));
439   ExpectEqual(Value(5),
440               GetMin(CreateInvariant('+', CreateRange(-5, -1), CreateRange(10, 20)), nullptr));
441   ExpectEqual(Value(19),
442               GetMax(CreateInvariant('+', CreateRange(-5, -1), CreateRange(10, 20)), nullptr));
443 }
444 
TEST_F(InductionVarRangeTest,GetMinMaxSub)445 TEST_F(InductionVarRangeTest, GetMinMaxSub) {
446   ExpectEqual(Value(-18),
447               GetMin(CreateInvariant('-', CreateConst(2), CreateRange(10, 20)), nullptr));
448   ExpectEqual(Value(-8),
449               GetMax(CreateInvariant('-', CreateConst(2), CreateRange(10, 20)), nullptr));
450   ExpectEqual(Value(x_, 1, 10),
451               GetMin(CreateInvariant('-', CreateFetch(x_), CreateRange(-20, -10)), nullptr));
452   ExpectEqual(Value(x_, 1, 20),
453               GetMax(CreateInvariant('-', CreateFetch(x_), CreateRange(-20, -10)), nullptr));
454   ExpectEqual(Value(x_, -1, 10),
455               GetMin(CreateInvariant('-', CreateRange(10, 20), CreateFetch(x_)), nullptr));
456   ExpectEqual(Value(x_, -1, 20),
457               GetMax(CreateInvariant('-', CreateRange(10, 20), CreateFetch(x_)), nullptr));
458   ExpectEqual(Value(-25),
459               GetMin(CreateInvariant('-', CreateRange(-5, -1), CreateRange(10, 20)), nullptr));
460   ExpectEqual(Value(-11),
461               GetMax(CreateInvariant('-', CreateRange(-5, -1), CreateRange(10, 20)), nullptr));
462 }
463 
TEST_F(InductionVarRangeTest,GetMinMaxNeg)464 TEST_F(InductionVarRangeTest, GetMinMaxNeg) {
465   ExpectEqual(Value(-20), GetMin(CreateInvariant('n', nullptr, CreateRange(10, 20)), nullptr));
466   ExpectEqual(Value(-10), GetMax(CreateInvariant('n', nullptr, CreateRange(10, 20)), nullptr));
467   ExpectEqual(Value(10), GetMin(CreateInvariant('n', nullptr, CreateRange(-20, -10)), nullptr));
468   ExpectEqual(Value(20), GetMax(CreateInvariant('n', nullptr, CreateRange(-20, -10)), nullptr));
469   ExpectEqual(Value(x_, -1, 0), GetMin(CreateInvariant('n', nullptr, CreateFetch(x_)), nullptr));
470   ExpectEqual(Value(x_, -1, 0), GetMax(CreateInvariant('n', nullptr, CreateFetch(x_)), nullptr));
471 }
472 
TEST_F(InductionVarRangeTest,GetMinMaxMul)473 TEST_F(InductionVarRangeTest, GetMinMaxMul) {
474   ExpectEqual(Value(20),
475               GetMin(CreateInvariant('*', CreateConst(2), CreateRange(10, 20)), nullptr));
476   ExpectEqual(Value(40),
477               GetMax(CreateInvariant('*', CreateConst(2), CreateRange(10, 20)), nullptr));
478 }
479 
TEST_F(InductionVarRangeTest,GetMinMaxDiv)480 TEST_F(InductionVarRangeTest, GetMinMaxDiv) {
481   ExpectEqual(Value(3),
482               GetMin(CreateInvariant('/', CreateRange(12, 20), CreateConst(4)), nullptr));
483   ExpectEqual(Value(5),
484               GetMax(CreateInvariant('/', CreateRange(12, 20), CreateConst(4)), nullptr));
485 }
486 
TEST_F(InductionVarRangeTest,GetMinMaxConstant)487 TEST_F(InductionVarRangeTest, GetMinMaxConstant) {
488   ExpectEqual(Value(12345), GetMin(CreateConst(12345), nullptr));
489   ExpectEqual(Value(12345), GetMax(CreateConst(12345), nullptr));
490 }
491 
TEST_F(InductionVarRangeTest,GetMinMaxFetch)492 TEST_F(InductionVarRangeTest, GetMinMaxFetch) {
493   ExpectEqual(Value(x_, 1, 0), GetMin(CreateFetch(x_), nullptr));
494   ExpectEqual(Value(x_, 1, 0), GetMax(CreateFetch(x_), nullptr));
495 }
496 
TEST_F(InductionVarRangeTest,GetMinMaxLinear)497 TEST_F(InductionVarRangeTest, GetMinMaxLinear) {
498   BuildLoop(0, graph_->GetIntConstant(100), 1);
499   PerformInductionVarAnalysis();
500   HLoopInformation* loop = loop_header_->GetLoopInformation();
501   ASSERT_TRUE(loop != nullptr);
502 
503   ExpectEqual(Value(20),
504               GetMin(loop_header_, loop, CreateLinear(10, 20), CreateTripCount(100, true, true)));
505   ExpectEqual(Value(1020),
506               GetMax(loop_header_, loop, CreateLinear(10, 20), CreateTripCount(100, true, true)));
507   ExpectEqual(Value(20),
508               GetMin(loop_body_, loop, CreateLinear(10, 20), CreateTripCount(100, true, true)));
509   ExpectEqual(Value(1010),
510               GetMax(loop_body_, loop, CreateLinear(10, 20), CreateTripCount(100, true, true)));
511   ExpectEqual(Value(1020),
512               GetMin(exit_block_, loop, CreateLinear(10, 20), CreateTripCount(100, true, true)));
513   ExpectEqual(Value(1020),
514               GetMax(exit_block_, loop, CreateLinear(10, 20), CreateTripCount(100, true, true)));
515   ExpectEqual(Value(20),
516               GetMin(entry_block_, loop, CreateLinear(10, 20), CreateTripCount(100, true, true)));
517   ExpectEqual(Value(),
518               GetMax(entry_block_, loop, CreateLinear(10, 20), CreateTripCount(100, true, true)));
519 
520   ExpectEqual(Value(-980),
521               GetMin(loop_header_, loop, CreateLinear(-10, 20), CreateTripCount(100, true, true)));
522   ExpectEqual(Value(20),
523               GetMax(loop_header_, loop, CreateLinear(-10, 20), CreateTripCount(100, true, true)));
524   ExpectEqual(Value(-970),
525               GetMin(loop_body_, loop, CreateLinear(-10, 20), CreateTripCount(100, true, true)));
526   ExpectEqual(Value(20),
527               GetMax(loop_body_, loop, CreateLinear(-10, 20), CreateTripCount(100, true, true)));
528   ExpectEqual(Value(-980),
529               GetMin(exit_block_, loop, CreateLinear(-10, 20), CreateTripCount(100, true, true)));
530   ExpectEqual(Value(-980),
531               GetMax(exit_block_, loop, CreateLinear(-10, 20), CreateTripCount(100, true, true)));
532   ExpectEqual(Value(),
533               GetMin(entry_block_, loop, CreateLinear(-10, 20), CreateTripCount(100, true, true)));
534   ExpectEqual(Value(20),
535               GetMax(entry_block_, loop, CreateLinear(-10, 20), CreateTripCount(100, true, true)));
536 }
537 
TEST_F(InductionVarRangeTest,GetMinMaxWrapAround)538 TEST_F(InductionVarRangeTest, GetMinMaxWrapAround) {
539   ExpectEqual(Value(-5), GetMin(CreateWrapAround(-5, -1, 10), nullptr));
540   ExpectEqual(Value(10), GetMax(CreateWrapAround(-5, -1, 10), nullptr));
541   ExpectEqual(Value(-1), GetMin(CreateWrapAround(2, -1, 10), nullptr));
542   ExpectEqual(Value(10), GetMax(CreateWrapAround(2, -1, 10), nullptr));
543   ExpectEqual(Value(-1), GetMin(CreateWrapAround(20, -1, 10), nullptr));
544   ExpectEqual(Value(20), GetMax(CreateWrapAround(20, -1, 10), nullptr));
545 }
546 
TEST_F(InductionVarRangeTest,GetMinMaxPolynomial)547 TEST_F(InductionVarRangeTest, GetMinMaxPolynomial) {
548   BuildLoop(0, graph_->GetIntConstant(100), 1);
549   PerformInductionVarAnalysis();
550   HLoopInformation* loop = loop_header_->GetLoopInformation();
551   ASSERT_TRUE(loop != nullptr);
552 
553   ExpectEqual(Value(), GetMin(CreatePolynomial(3, 5, 7), nullptr));
554   ExpectEqual(Value(), GetMax(CreatePolynomial(3, 5, 7), nullptr));
555 
556   ExpectEqual(
557       Value(7),
558       GetMin(loop_header_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(5, true, true)));
559   ExpectEqual(
560       Value(62),
561       GetMax(loop_header_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(5, true, true)));
562   ExpectEqual(
563       Value(7),
564       GetMin(loop_body_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(5, true, true)));
565   ExpectEqual(
566       Value(45),
567       GetMax(loop_body_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(5, true, true)));
568   ExpectEqual(
569       Value(62),
570       GetMin(exit_block_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(5, true, true)));
571   ExpectEqual(
572       Value(62),
573       GetMax(exit_block_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(5, true, true)));
574   ExpectEqual(
575       Value(7),
576       GetMin(entry_block_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(5, true, true)));
577   ExpectEqual(
578       Value(),
579       GetMax(entry_block_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(5, true, true)));
580 
581   ExpectEqual(
582       Value(7),
583       GetMin(loop_header_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(10, true, true)));
584   ExpectEqual(
585       Value(192),
586       GetMax(loop_header_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(10, true, true)));
587   ExpectEqual(
588       Value(7),
589       GetMin(loop_body_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(10, true, true)));
590   ExpectEqual(
591       Value(160),
592       GetMax(loop_body_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(10, true, true)));
593   ExpectEqual(
594       Value(192),
595       GetMin(exit_block_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(10, true, true)));
596   ExpectEqual(
597       Value(192),
598       GetMax(exit_block_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(10, true, true)));
599   ExpectEqual(
600       Value(7),
601       GetMin(entry_block_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(10, true, true)));
602   ExpectEqual(
603       Value(),
604       GetMax(entry_block_, loop, CreatePolynomial(3, 5, 7), CreateTripCount(10, true, true)));
605 
606   ExpectEqual(
607       Value(-7),
608       GetMin(loop_header_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(5, true, true)));
609   ExpectEqual(
610       Value(168),
611       GetMax(loop_header_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(5, true, true)));
612   ExpectEqual(
613       Value(-7),
614       GetMin(loop_body_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(5, true, true)));
615   ExpectEqual(
616       Value(111),
617       GetMax(loop_body_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(5, true, true)));
618   ExpectEqual(
619       Value(168),
620       GetMin(exit_block_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(5, true, true)));
621   ExpectEqual(
622       Value(168),
623       GetMax(exit_block_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(5, true, true)));
624   ExpectEqual(
625       Value(-7),
626       GetMin(entry_block_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(5, true, true)));
627   ExpectEqual(
628       Value(),
629       GetMax(entry_block_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(5, true, true)));
630 
631   ExpectEqual(
632       Value(-7),
633       GetMin(loop_header_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(10, true, true)));
634   ExpectEqual(
635       Value(618),
636       GetMax(loop_header_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(10, true, true)));
637   ExpectEqual(
638       Value(-7),
639       GetMin(loop_body_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(10, true, true)));
640   ExpectEqual(
641       Value(506),
642       GetMax(loop_body_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(10, true, true)));
643   ExpectEqual(
644       Value(618),
645       GetMin(exit_block_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(10, true, true)));
646   ExpectEqual(
647       Value(618),
648       GetMax(exit_block_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(10, true, true)));
649   ExpectEqual(
650       Value(-7),
651       GetMin(entry_block_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(10, true, true)));
652   ExpectEqual(
653       Value(),
654       GetMax(entry_block_, loop, CreatePolynomial(11, 13, -7), CreateTripCount(10, true, true)));
655 
656   ExpectEqual(
657       Value(),
658       GetMin(loop_header_, loop, CreatePolynomial(-3, 5, 7), CreateTripCount(10, true, true)));
659   ExpectEqual(
660       Value(),
661       GetMax(loop_header_, loop, CreatePolynomial(-3, 5, 7), CreateTripCount(10, true, true)));
662   ExpectEqual(
663       Value(),
664       GetMin(loop_body_, loop, CreatePolynomial(-3, 5, 7), CreateTripCount(10, true, true)));
665   ExpectEqual(
666       Value(),
667       GetMax(loop_body_, loop, CreatePolynomial(-3, 5, 7), CreateTripCount(10, true, true)));
668   ExpectEqual(
669       Value(),
670       GetMin(exit_block_, loop, CreatePolynomial(-3, 5, 7), CreateTripCount(10, true, true)));
671   ExpectEqual(
672       Value(),
673       GetMax(exit_block_, loop, CreatePolynomial(-3, 5, 7), CreateTripCount(10, true, true)));
674   ExpectEqual(
675       Value(),
676       GetMin(entry_block_, loop, CreatePolynomial(-3, 5, 7), CreateTripCount(10, true, true)));
677   ExpectEqual(
678       Value(),
679       GetMax(entry_block_, loop, CreatePolynomial(-3, 5, 7), CreateTripCount(10, true, true)));
680 
681   ExpectEqual(
682       Value(),
683       GetMin(loop_header_, loop, CreatePolynomial(3, -5, 7), CreateTripCount(10, true, true)));
684   ExpectEqual(
685       Value(),
686       GetMax(loop_header_, loop, CreatePolynomial(3, -5, 7), CreateTripCount(10, true, true)));
687   ExpectEqual(
688       Value(),
689       GetMin(loop_body_, loop, CreatePolynomial(3, -5, 7), CreateTripCount(10, true, true)));
690   ExpectEqual(
691       Value(),
692       GetMax(loop_body_, loop, CreatePolynomial(3, -5, 7), CreateTripCount(10, true, true)));
693   ExpectEqual(
694       Value(),
695       GetMin(exit_block_, loop, CreatePolynomial(3, -5, 7), CreateTripCount(10, true, true)));
696   ExpectEqual(
697       Value(),
698       GetMax(exit_block_, loop, CreatePolynomial(3, -5, 7), CreateTripCount(10, true, true)));
699   ExpectEqual(
700       Value(),
701       GetMin(entry_block_, loop, CreatePolynomial(3, -5, 7), CreateTripCount(10, true, true)));
702   ExpectEqual(
703       Value(),
704       GetMax(entry_block_, loop, CreatePolynomial(3, -5, 7), CreateTripCount(10, true, true)));
705 }
706 
TEST_F(InductionVarRangeTest,GetMinMaxGeometricMul)707 TEST_F(InductionVarRangeTest, GetMinMaxGeometricMul) {
708   ExpectEqual(Value(), GetMin(CreateGeometric(1, 1, 1, '*'), nullptr));
709   ExpectEqual(Value(), GetMax(CreateGeometric(1, 1, 1, '*'), nullptr));
710 }
711 
TEST_F(InductionVarRangeTest,GetMinMaxGeometricDiv)712 TEST_F(InductionVarRangeTest, GetMinMaxGeometricDiv) {
713   ExpectEqual(Value(5), GetMin(CreateGeometric(11, 5, 3, '/'), nullptr));
714   ExpectEqual(Value(16), GetMax(CreateGeometric(11, 5, 3, '/'), nullptr));
715   ExpectEqual(Value(-5), GetMin(CreateGeometric(11, -5, 3, '/'), nullptr));
716   ExpectEqual(Value(6), GetMax(CreateGeometric(11, -5, 3, '/'), nullptr));
717   ExpectEqual(Value(-6), GetMin(CreateGeometric(-11, 5, 3, '/'), nullptr));
718   ExpectEqual(Value(5), GetMax(CreateGeometric(-11, 5, 3, '/'), nullptr));
719   ExpectEqual(Value(-16), GetMin(CreateGeometric(-11, -5, 3, '/'), nullptr));
720   ExpectEqual(Value(-5), GetMax(CreateGeometric(-11, -5, 3, '/'), nullptr));
721 }
722 
TEST_F(InductionVarRangeTest,GetMinMaxPeriodic)723 TEST_F(InductionVarRangeTest, GetMinMaxPeriodic) {
724   ExpectEqual(Value(-2), GetMin(CreateRange(-2, 99), nullptr));
725   ExpectEqual(Value(99), GetMax(CreateRange(-2, 99), nullptr));
726 }
727 
TEST_F(InductionVarRangeTest,GetMulMin)728 TEST_F(InductionVarRangeTest, GetMulMin) {
729   ExpectEqual(Value(-14), GetMul(CreateConst(2), CreateRange(-7, 8), true));
730   ExpectEqual(Value(-16), GetMul(CreateConst(-2), CreateRange(-7, 8), true));
731   ExpectEqual(Value(-14), GetMul(CreateRange(-7, 8), CreateConst(2), true));
732   ExpectEqual(Value(-16), GetMul(CreateRange(-7, 8), CreateConst(-2), true));
733   ExpectEqual(Value(6), GetMul(CreateRange(2, 10), CreateRange(3, 5), true));
734   ExpectEqual(Value(-50), GetMul(CreateRange(2, 10), CreateRange(-5, -3), true));
735   ExpectEqual(Value(), GetMul(CreateRange(2, 10), CreateRange(-1, 1), true));
736   ExpectEqual(Value(-50), GetMul(CreateRange(-10, -2), CreateRange(3, 5), true));
737   ExpectEqual(Value(6), GetMul(CreateRange(-10, -2), CreateRange(-5, -3), true));
738   ExpectEqual(Value(), GetMul(CreateRange(-10, -2), CreateRange(-1, 1), true));
739   ExpectEqual(Value(), GetMul(CreateRange(-1, 1), CreateRange(2, 10), true));
740   ExpectEqual(Value(), GetMul(CreateRange(-1, 1), CreateRange(-10, -2), true));
741   ExpectEqual(Value(), GetMul(CreateRange(-1, 1), CreateRange(-1, 1), true));
742 }
743 
TEST_F(InductionVarRangeTest,GetMulMax)744 TEST_F(InductionVarRangeTest, GetMulMax) {
745   ExpectEqual(Value(16), GetMul(CreateConst(2), CreateRange(-7, 8), false));
746   ExpectEqual(Value(14), GetMul(CreateConst(-2), CreateRange(-7, 8), false));
747   ExpectEqual(Value(16), GetMul(CreateRange(-7, 8), CreateConst(2), false));
748   ExpectEqual(Value(14), GetMul(CreateRange(-7, 8), CreateConst(-2), false));
749   ExpectEqual(Value(50), GetMul(CreateRange(2, 10), CreateRange(3, 5), false));
750   ExpectEqual(Value(-6), GetMul(CreateRange(2, 10), CreateRange(-5, -3), false));
751   ExpectEqual(Value(), GetMul(CreateRange(2, 10), CreateRange(-1, 1), false));
752   ExpectEqual(Value(-6), GetMul(CreateRange(-10, -2), CreateRange(3, 5), false));
753   ExpectEqual(Value(50), GetMul(CreateRange(-10, -2), CreateRange(-5, -3), false));
754   ExpectEqual(Value(), GetMul(CreateRange(-10, -2), CreateRange(-1, 1), false));
755   ExpectEqual(Value(), GetMul(CreateRange(-1, 1), CreateRange(2, 10), false));
756   ExpectEqual(Value(), GetMul(CreateRange(-1, 1), CreateRange(-10, -2), false));
757   ExpectEqual(Value(), GetMul(CreateRange(-1, 1), CreateRange(-1, 1), false));
758 }
759 
TEST_F(InductionVarRangeTest,GetDivMin)760 TEST_F(InductionVarRangeTest, GetDivMin) {
761   ExpectEqual(Value(-5), GetDiv(CreateRange(-10, 20), CreateConst(2), true));
762   ExpectEqual(Value(-10), GetDiv(CreateRange(-10, 20), CreateConst(-2), true));
763   ExpectEqual(Value(10), GetDiv(CreateRange(40, 1000), CreateRange(2, 4), true));
764   ExpectEqual(Value(-500), GetDiv(CreateRange(40, 1000), CreateRange(-4, -2), true));
765   ExpectEqual(Value(), GetDiv(CreateRange(40, 1000), CreateRange(-1, 1), true));
766   ExpectEqual(Value(-500), GetDiv(CreateRange(-1000, -40), CreateRange(2, 4), true));
767   ExpectEqual(Value(10), GetDiv(CreateRange(-1000, -40), CreateRange(-4, -2), true));
768   ExpectEqual(Value(), GetDiv(CreateRange(-1000, -40), CreateRange(-1, 1), true));
769   ExpectEqual(Value(), GetDiv(CreateRange(-1, 1), CreateRange(40, 1000), true));
770   ExpectEqual(Value(), GetDiv(CreateRange(-1, 1), CreateRange(-1000, -40), true));
771   ExpectEqual(Value(), GetDiv(CreateRange(-1, 1), CreateRange(-1, 1), true));
772 }
773 
TEST_F(InductionVarRangeTest,GetDivMax)774 TEST_F(InductionVarRangeTest, GetDivMax) {
775   ExpectEqual(Value(10), GetDiv(CreateRange(-10, 20), CreateConst(2), false));
776   ExpectEqual(Value(5), GetDiv(CreateRange(-10, 20), CreateConst(-2), false));
777   ExpectEqual(Value(500), GetDiv(CreateRange(40, 1000), CreateRange(2, 4), false));
778   ExpectEqual(Value(-10), GetDiv(CreateRange(40, 1000), CreateRange(-4, -2), false));
779   ExpectEqual(Value(), GetDiv(CreateRange(40, 1000), CreateRange(-1, 1), false));
780   ExpectEqual(Value(-10), GetDiv(CreateRange(-1000, -40), CreateRange(2, 4), false));
781   ExpectEqual(Value(500), GetDiv(CreateRange(-1000, -40), CreateRange(-4, -2), false));
782   ExpectEqual(Value(), GetDiv(CreateRange(-1000, -40), CreateRange(-1, 1), false));
783   ExpectEqual(Value(), GetDiv(CreateRange(-1, 1), CreateRange(40, 1000), false));
784   ExpectEqual(Value(), GetDiv(CreateRange(-1, 1), CreateRange(-1000, 40), false));
785   ExpectEqual(Value(), GetDiv(CreateRange(-1, 1), CreateRange(-1, 1), false));
786 }
787 
TEST_F(InductionVarRangeTest,GetMinMaxRem)788 TEST_F(InductionVarRangeTest, GetMinMaxRem) {
789   ExpectEqual(Value(), GetMin(CreateInvariant('%', CreateConst(2), CreateRange(10, 20)), nullptr));
790   ExpectEqual(Value(), GetMax(CreateInvariant('%', CreateConst(2), CreateRange(10, 20)), nullptr));
791   ExpectEqual(Value(), GetMin(CreateInvariant('%', CreateRange(10, 20), CreateConst(2)), nullptr));
792   ExpectEqual(Value(), GetMax(CreateInvariant('%', CreateRange(10, 20), CreateConst(2)), nullptr));
793   ExpectEqual(Value(2), GetMin(CreateInvariant('%', CreateConst(2), CreateConst(5)), nullptr));
794   ExpectEqual(Value(2), GetMax(CreateInvariant('%', CreateConst(2), CreateConst(5)), nullptr));
795   ExpectEqual(Value(1), GetMin(CreateInvariant('%', CreateConst(11), CreateConst(5)), nullptr));
796   ExpectEqual(Value(1), GetMax(CreateInvariant('%', CreateConst(11), CreateConst(5)), nullptr));
797 }
798 
TEST_F(InductionVarRangeTest,GetRem)799 TEST_F(InductionVarRangeTest, GetRem) {
800   ExpectEqual(Value(0), GetRem(CreateConst(1), CreateConst(1)));
801   ExpectEqual(Value(2), GetRem(CreateConst(2), CreateConst(5)));
802   ExpectEqual(Value(1), GetRem(CreateConst(11), CreateConst(5)));
803   ExpectEqual(Value(-2), GetRem(CreateConst(-2), CreateConst(5)));
804   ExpectEqual(Value(-1), GetRem(CreateConst(-11), CreateConst(5)));
805   ExpectEqual(Value(2), GetRem(CreateConst(2), CreateConst(-5)));
806   ExpectEqual(Value(1), GetRem(CreateConst(11), CreateConst(-5)));
807   ExpectEqual(Value(-2), GetRem(CreateConst(-2), CreateConst(-5)));
808   ExpectEqual(Value(-1), GetRem(CreateConst(-11), CreateConst(-5)));
809   ExpectEqual(Value(), GetRem(CreateConst(1), CreateConst(0)));
810 }
811 
TEST_F(InductionVarRangeTest,GetMinMaxXor)812 TEST_F(InductionVarRangeTest, GetMinMaxXor) {
813   ExpectEqual(Value(), GetMin(CreateInvariant('^', CreateConst(2), CreateRange(10, 20)), nullptr));
814   ExpectEqual(Value(), GetMax(CreateInvariant('^', CreateConst(2), CreateRange(10, 20)), nullptr));
815   ExpectEqual(Value(), GetMin(CreateInvariant('^', CreateRange(10, 20), CreateConst(2)), nullptr));
816   ExpectEqual(Value(), GetMax(CreateInvariant('^', CreateRange(10, 20), CreateConst(2)), nullptr));
817   ExpectEqual(Value(3), GetMin(CreateInvariant('^', CreateConst(1), CreateConst(2)), nullptr));
818   ExpectEqual(Value(3), GetMax(CreateInvariant('^', CreateConst(1), CreateConst(2)), nullptr));
819 }
820 
TEST_F(InductionVarRangeTest,GetXor)821 TEST_F(InductionVarRangeTest, GetXor) {
822   ExpectEqual(Value(0), GetXor(CreateConst(1), CreateConst(1)));
823   ExpectEqual(Value(3), GetXor(CreateConst(1), CreateConst(2)));
824   ExpectEqual(Value(-2), GetXor(CreateConst(1), CreateConst(-1)));
825   ExpectEqual(Value(0), GetXor(CreateConst(-1), CreateConst(-1)));
826 }
827 
TEST_F(InductionVarRangeTest,AddValue)828 TEST_F(InductionVarRangeTest, AddValue) {
829   ExpectEqual(Value(110), AddValue(Value(10), Value(100)));
830   ExpectEqual(Value(-5), AddValue(Value(x_, 1, -4), Value(x_, -1, -1)));
831   ExpectEqual(Value(x_, 3, -5), AddValue(Value(x_, 2, -4), Value(x_, 1, -1)));
832   ExpectEqual(Value(), AddValue(Value(x_, 1, 5), Value(y_, 1, -7)));
833   ExpectEqual(Value(x_, 1, 23), AddValue(Value(x_, 1, 20), Value(3)));
834   ExpectEqual(Value(y_, 1, 5), AddValue(Value(55), Value(y_, 1, -50)));
835   const int32_t max_value = std::numeric_limits<int32_t>::max();
836   ExpectEqual(Value(max_value), AddValue(Value(max_value - 5), Value(5)));
837   ExpectEqual(Value(), AddValue(Value(max_value - 5), Value(6)));  // unsafe
838 }
839 
TEST_F(InductionVarRangeTest,SubValue)840 TEST_F(InductionVarRangeTest, SubValue) {
841   ExpectEqual(Value(-90), SubValue(Value(10), Value(100)));
842   ExpectEqual(Value(-3), SubValue(Value(x_, 1, -4), Value(x_, 1, -1)));
843   ExpectEqual(Value(x_, 2, -3), SubValue(Value(x_, 3, -4), Value(x_, 1, -1)));
844   ExpectEqual(Value(), SubValue(Value(x_, 1, 5), Value(y_, 1, -7)));
845   ExpectEqual(Value(x_, 1, 17), SubValue(Value(x_, 1, 20), Value(3)));
846   ExpectEqual(Value(y_, -4, 105), SubValue(Value(55), Value(y_, 4, -50)));
847   const int32_t min_value = std::numeric_limits<int32_t>::min();
848   ExpectEqual(Value(min_value), SubValue(Value(min_value + 5), Value(5)));
849   ExpectEqual(Value(), SubValue(Value(min_value + 5), Value(6)));  // unsafe
850 }
851 
TEST_F(InductionVarRangeTest,MulValue)852 TEST_F(InductionVarRangeTest, MulValue) {
853   ExpectEqual(Value(1000), MulValue(Value(10), Value(100)));
854   ExpectEqual(Value(), MulValue(Value(x_, 1, -4), Value(x_, 1, -1)));
855   ExpectEqual(Value(), MulValue(Value(x_, 1, 5), Value(y_, 1, -7)));
856   ExpectEqual(Value(x_, 9, 60), MulValue(Value(x_, 3, 20), Value(3)));
857   ExpectEqual(Value(y_, 55, -110), MulValue(Value(55), Value(y_, 1, -2)));
858   ExpectEqual(Value(), MulValue(Value(90000), Value(-90000)));  // unsafe
859 }
860 
TEST_F(InductionVarRangeTest,MulValueSpecial)861 TEST_F(InductionVarRangeTest, MulValueSpecial) {
862   const int32_t min_value = std::numeric_limits<int32_t>::min();
863   const int32_t max_value = std::numeric_limits<int32_t>::max();
864 
865   // Unsafe.
866   ExpectEqual(Value(), MulValue(Value(min_value), Value(min_value)));
867   ExpectEqual(Value(), MulValue(Value(min_value), Value(-1)));
868   ExpectEqual(Value(), MulValue(Value(min_value), Value(max_value)));
869   ExpectEqual(Value(), MulValue(Value(max_value), Value(max_value)));
870 
871   // Safe.
872   ExpectEqual(Value(min_value), MulValue(Value(min_value), Value(1)));
873   ExpectEqual(Value(max_value), MulValue(Value(max_value), Value(1)));
874   ExpectEqual(Value(-max_value), MulValue(Value(max_value), Value(-1)));
875   ExpectEqual(Value(-1), MulValue(Value(1), Value(-1)));
876   ExpectEqual(Value(1), MulValue(Value(-1), Value(-1)));
877 }
878 
TEST_F(InductionVarRangeTest,DivValue)879 TEST_F(InductionVarRangeTest, DivValue) {
880   ExpectEqual(Value(25), DivValue(Value(100), Value(4)));
881   ExpectEqual(Value(), DivValue(Value(x_, 1, -4), Value(x_, 1, -1)));
882   ExpectEqual(Value(), DivValue(Value(x_, 1, 5), Value(y_, 1, -7)));
883   ExpectEqual(Value(), DivValue(Value(x_, 12, 24), Value(3)));
884   ExpectEqual(Value(), DivValue(Value(55), Value(y_, 1, -50)));
885   ExpectEqual(Value(), DivValue(Value(1), Value(0)));  // unsafe
886 }
887 
TEST_F(InductionVarRangeTest,DivValueSpecial)888 TEST_F(InductionVarRangeTest, DivValueSpecial) {
889   const int32_t min_value = std::numeric_limits<int32_t>::min();
890   const int32_t max_value = std::numeric_limits<int32_t>::max();
891 
892   // Unsafe.
893   ExpectEqual(Value(), DivValue(Value(min_value), Value(-1)));
894 
895   // Safe.
896   ExpectEqual(Value(1), DivValue(Value(min_value), Value(min_value)));
897   ExpectEqual(Value(1), DivValue(Value(max_value), Value(max_value)));
898   ExpectEqual(Value(min_value), DivValue(Value(min_value), Value(1)));
899   ExpectEqual(Value(max_value), DivValue(Value(max_value), Value(1)));
900   ExpectEqual(Value(-max_value), DivValue(Value(max_value), Value(-1)));
901   ExpectEqual(Value(-1), DivValue(Value(1), Value(-1)));
902   ExpectEqual(Value(1), DivValue(Value(-1), Value(-1)));
903 }
904 
TEST_F(InductionVarRangeTest,MinValue)905 TEST_F(InductionVarRangeTest, MinValue) {
906   ExpectEqual(Value(10), MinValue(Value(10), Value(100)));
907   ExpectEqual(Value(x_, 1, -4), MinValue(Value(x_, 1, -4), Value(x_, 1, -1)));
908   ExpectEqual(Value(x_, 4, -4), MinValue(Value(x_, 4, -4), Value(x_, 4, -1)));
909   ExpectEqual(Value(), MinValue(Value(x_, 1, 5), Value(y_, 1, -7)));
910   ExpectEqual(Value(), MinValue(Value(x_, 1, 20), Value(3)));
911   ExpectEqual(Value(), MinValue(Value(55), Value(y_, 1, -50)));
912 }
913 
TEST_F(InductionVarRangeTest,MaxValue)914 TEST_F(InductionVarRangeTest, MaxValue) {
915   ExpectEqual(Value(100), MaxValue(Value(10), Value(100)));
916   ExpectEqual(Value(x_, 1, -1), MaxValue(Value(x_, 1, -4), Value(x_, 1, -1)));
917   ExpectEqual(Value(x_, 4, -1), MaxValue(Value(x_, 4, -4), Value(x_, 4, -1)));
918   ExpectEqual(Value(), MaxValue(Value(x_, 1, 5), Value(y_, 1, -7)));
919   ExpectEqual(Value(), MaxValue(Value(x_, 1, 20), Value(3)));
920   ExpectEqual(Value(), MaxValue(Value(55), Value(y_, 1, -50)));
921 }
922 
TEST_F(InductionVarRangeTest,ArrayLengthAndHints)923 TEST_F(InductionVarRangeTest, ArrayLengthAndHints) {
924   // We pass a bogus constant for the class to avoid mocking one.
925   HInstruction* new_array = new (GetAllocator()) HNewArray(
926       /* cls= */ x_,
927       /* length= */ x_,
928       /* dex_pc= */ 0,
929       /* component_size_shift= */ 0);
930   entry_block_->AddInstruction(new_array);
931   HInstruction* array_length = new (GetAllocator()) HArrayLength(new_array, 0);
932   entry_block_->AddInstruction(array_length);
933   // With null hint: yields extreme constants.
934   const int32_t max_value = std::numeric_limits<int32_t>::max();
935   SetHint(nullptr);
936   ExpectEqual(Value(0), GetMin(CreateFetch(array_length), nullptr));
937   ExpectEqual(Value(max_value), GetMax(CreateFetch(array_length), nullptr));
938   // With explicit hint: yields the length instruction.
939   SetHint(array_length);
940   ExpectEqual(Value(array_length, 1, 0), GetMin(CreateFetch(array_length), nullptr));
941   ExpectEqual(Value(array_length, 1, 0), GetMax(CreateFetch(array_length), nullptr));
942   // With any non-null hint: chases beyond the length instruction.
943   SetHint(x_);
944   ExpectEqual(Value(x_, 1, 0), GetMin(CreateFetch(array_length), nullptr));
945   ExpectEqual(Value(x_, 1, 0), GetMax(CreateFetch(array_length), nullptr));
946 }
947 
TEST_F(InductionVarRangeTest,AddOrSubAndConstant)948 TEST_F(InductionVarRangeTest, AddOrSubAndConstant) {
949   HInstruction* add = new (GetAllocator())
950       HAdd(DataType::Type::kInt32, x_, graph_->GetIntConstant(-1));
951   HInstruction* alt = new (GetAllocator())
952       HAdd(DataType::Type::kInt32, graph_->GetIntConstant(-1), x_);
953   HInstruction* sub = new (GetAllocator())
954       HSub(DataType::Type::kInt32, x_, graph_->GetIntConstant(1));
955   HInstruction* rev = new (GetAllocator())
956       HSub(DataType::Type::kInt32, graph_->GetIntConstant(1), x_);
957   entry_block_->AddInstruction(add);
958   entry_block_->AddInstruction(alt);
959   entry_block_->AddInstruction(sub);
960   entry_block_->AddInstruction(rev);
961   ExpectEqual(Value(x_, 1, -1), GetMin(CreateFetch(add), nullptr));
962   ExpectEqual(Value(x_, 1, -1), GetMax(CreateFetch(add), nullptr));
963   ExpectEqual(Value(x_, 1, -1), GetMin(CreateFetch(alt), nullptr));
964   ExpectEqual(Value(x_, 1, -1), GetMax(CreateFetch(alt), nullptr));
965   ExpectEqual(Value(x_, 1, -1), GetMin(CreateFetch(sub), nullptr));
966   ExpectEqual(Value(x_, 1, -1), GetMax(CreateFetch(sub), nullptr));
967   ExpectEqual(Value(x_, -1, 1), GetMin(CreateFetch(rev), nullptr));
968   ExpectEqual(Value(x_, -1, 1), GetMax(CreateFetch(rev), nullptr));
969 }
970 
971 //
972 // Tests on public methods.
973 //
974 
TEST_F(InductionVarRangeTest,ConstantTripCountUp)975 TEST_F(InductionVarRangeTest, ConstantTripCountUp) {
976   BuildLoop(0, graph_->GetIntConstant(1000), 1);
977   PerformInductionVarAnalysis();
978 
979   Value v1, v2;
980   bool needs_finite_test = true;
981   bool needs_taken_test = true;
982 
983   HInstruction* phi = condition_->InputAt(0);
984   HInstruction* exit = exit_block_->GetLastInstruction();
985 
986   // In context of header: known.
987   range_.GetInductionRange(condition_->GetBlock(), phi, x_, &v1, &v2, &needs_finite_test);
988   EXPECT_FALSE(needs_finite_test);
989   ExpectEqual(Value(0), v1);
990   ExpectEqual(Value(1000), v2);
991 
992   // In context of loop-body: known.
993   range_.GetInductionRange(increment_->GetBlock(), phi, x_, &v1, &v2, &needs_finite_test);
994   EXPECT_FALSE(needs_finite_test);
995   ExpectEqual(Value(0), v1);
996   ExpectEqual(Value(999), v2);
997   range_.GetInductionRange(increment_->GetBlock(), increment_, x_, &v1, &v2, &needs_finite_test);
998   EXPECT_FALSE(needs_finite_test);
999   ExpectEqual(Value(1), v1);
1000   ExpectEqual(Value(1000), v2);
1001 
1002   // Induction vs. no-induction.
1003   EXPECT_TRUE(
1004       range_.CanGenerateRange(increment_->GetBlock(), phi, &needs_finite_test, &needs_taken_test));
1005   EXPECT_TRUE(range_.CanGenerateLastValue(phi));
1006   EXPECT_FALSE(
1007       range_.CanGenerateRange(exit->GetBlock(), exit, &needs_finite_test, &needs_taken_test));
1008   EXPECT_FALSE(range_.CanGenerateLastValue(exit));
1009 
1010   // Last value (unsimplified).
1011   HInstruction* last = range_.GenerateLastValue(phi, graph_, loop_preheader_);
1012   ASSERT_TRUE(last->IsAdd());
1013   ExpectInt(1000, last->InputAt(0));
1014   ExpectInt(0, last->InputAt(1));
1015 
1016   // Loop logic.
1017   int64_t tc = 0;
1018   EXPECT_TRUE(range_.IsFinite(loop_header_->GetLoopInformation(), &tc));
1019   EXPECT_EQ(1000, tc);
1020   HInstruction* offset = nullptr;
1021   EXPECT_TRUE(range_.IsUnitStride(phi->GetBlock(), phi, graph_, &offset));
1022   ExpectInt(0, offset);
1023   HInstruction* tce = range_.GenerateTripCount(
1024       loop_header_->GetLoopInformation(), graph_, loop_preheader_);
1025   ASSERT_TRUE(tce != nullptr);
1026   ExpectInt(1000, tce);
1027 }
1028 
TEST_F(InductionVarRangeTest,ConstantTripCountDown)1029 TEST_F(InductionVarRangeTest, ConstantTripCountDown) {
1030   BuildLoop(1000, graph_->GetIntConstant(0), -1);
1031   PerformInductionVarAnalysis();
1032 
1033   Value v1, v2;
1034   bool needs_finite_test = true;
1035   bool needs_taken_test = true;
1036 
1037   HInstruction* phi = condition_->InputAt(0);
1038   HInstruction* exit = exit_block_->GetLastInstruction();
1039 
1040   // In context of header: known.
1041   range_.GetInductionRange(condition_->GetBlock(), phi, x_, &v1, &v2, &needs_finite_test);
1042   EXPECT_FALSE(needs_finite_test);
1043   ExpectEqual(Value(0), v1);
1044   ExpectEqual(Value(1000), v2);
1045 
1046   // In context of loop-body: known.
1047   range_.GetInductionRange(increment_->GetBlock(), phi, x_, &v1, &v2, &needs_finite_test);
1048   EXPECT_FALSE(needs_finite_test);
1049   ExpectEqual(Value(1), v1);
1050   ExpectEqual(Value(1000), v2);
1051   range_.GetInductionRange(increment_->GetBlock(), increment_, x_, &v1, &v2, &needs_finite_test);
1052   EXPECT_FALSE(needs_finite_test);
1053   ExpectEqual(Value(0), v1);
1054   ExpectEqual(Value(999), v2);
1055 
1056   // Induction vs. no-induction.
1057   EXPECT_TRUE(
1058       range_.CanGenerateRange(increment_->GetBlock(), phi, &needs_finite_test, &needs_taken_test));
1059   EXPECT_TRUE(range_.CanGenerateLastValue(phi));
1060   EXPECT_FALSE(
1061       range_.CanGenerateRange(exit->GetBlock(), exit, &needs_finite_test, &needs_taken_test));
1062   EXPECT_FALSE(range_.CanGenerateLastValue(exit));
1063 
1064   // Last value (unsimplified).
1065   HInstruction* last = range_.GenerateLastValue(phi, graph_, loop_preheader_);
1066   ASSERT_TRUE(last->IsSub());
1067   ExpectInt(1000, last->InputAt(0));
1068   ExpectInt(1000, last->InputAt(1));
1069 
1070   // Loop logic.
1071   int64_t tc = 0;
1072   EXPECT_TRUE(range_.IsFinite(loop_header_->GetLoopInformation(), &tc));
1073   EXPECT_EQ(1000, tc);
1074   HInstruction* offset = nullptr;
1075   EXPECT_FALSE(range_.IsUnitStride(phi->GetBlock(), phi, graph_, &offset));
1076   HInstruction* tce = range_.GenerateTripCount(
1077       loop_header_->GetLoopInformation(), graph_, loop_preheader_);
1078   ASSERT_TRUE(tce != nullptr);
1079   ASSERT_TRUE(tce->IsNeg());
1080   last = tce->InputAt(0);
1081   EXPECT_TRUE(last->IsSub());
1082   ExpectInt(0, last->InputAt(0));
1083   ExpectInt(1000, last->InputAt(1));
1084 }
1085 
TEST_F(InductionVarRangeTest,SymbolicTripCountUp)1086 TEST_F(InductionVarRangeTest, SymbolicTripCountUp) {
1087   BuildLoop(0, x_, 1);
1088   PerformInductionVarAnalysis();
1089 
1090   Value v1, v2;
1091   bool needs_finite_test = true;
1092   bool needs_taken_test = true;
1093 
1094   HInstruction* phi = condition_->InputAt(0);
1095 
1096   // In context of header: upper unknown.
1097   range_.GetInductionRange(condition_->GetBlock(), phi, x_, &v1, &v2, &needs_finite_test);
1098   EXPECT_FALSE(needs_finite_test);
1099   ExpectEqual(Value(0), v1);
1100   ExpectEqual(Value(), v2);
1101 
1102   // In context of loop-body: known.
1103   range_.GetInductionRange(increment_->GetBlock(), phi, x_, &v1, &v2, &needs_finite_test);
1104   EXPECT_FALSE(needs_finite_test);
1105   ExpectEqual(Value(0), v1);
1106   ExpectEqual(Value(x_, 1, -1), v2);
1107   range_.GetInductionRange(increment_->GetBlock(), increment_, x_, &v1, &v2, &needs_finite_test);
1108   EXPECT_FALSE(needs_finite_test);
1109   ExpectEqual(Value(1), v1);
1110   ExpectEqual(Value(x_, 1, 0), v2);
1111 
1112   HInstruction* lower = nullptr;
1113   HInstruction* upper = nullptr;
1114 
1115   // Can generate code in context of loop-body only.
1116   EXPECT_FALSE(
1117       range_.CanGenerateRange(condition_->GetBlock(), phi, &needs_finite_test, &needs_taken_test));
1118   ASSERT_TRUE(
1119       range_.CanGenerateRange(increment_->GetBlock(), phi, &needs_finite_test, &needs_taken_test));
1120   EXPECT_FALSE(needs_finite_test);
1121   EXPECT_TRUE(needs_taken_test);
1122 
1123   // Generates code (unsimplified).
1124   range_.GenerateRange(increment_->GetBlock(), phi, graph_, loop_preheader_, &lower, &upper);
1125 
1126   // Verify lower is 0+0.
1127   ASSERT_TRUE(lower != nullptr);
1128   ASSERT_TRUE(lower->IsAdd());
1129   ExpectInt(0, lower->InputAt(0));
1130   ExpectInt(0, lower->InputAt(1));
1131 
1132   // Verify upper is (V-1)+0.
1133   ASSERT_TRUE(upper != nullptr);
1134   ASSERT_TRUE(upper->IsAdd());
1135   ASSERT_TRUE(upper->InputAt(0)->IsSub());
1136   EXPECT_TRUE(upper->InputAt(0)->InputAt(0)->IsParameterValue());
1137   ExpectInt(1, upper->InputAt(0)->InputAt(1));
1138   ExpectInt(0, upper->InputAt(1));
1139 
1140   // Verify taken-test is 0<V.
1141   HInstruction* taken = range_.GenerateTakenTest(increment_, graph_, loop_preheader_);
1142   ASSERT_TRUE(taken != nullptr);
1143   ASSERT_TRUE(taken->IsLessThan());
1144   ExpectInt(0, taken->InputAt(0));
1145   EXPECT_TRUE(taken->InputAt(1)->IsParameterValue());
1146 
1147   // Replacement.
1148   range_.Replace(loop_header_->GetLastInstruction(), x_, y_);
1149   range_.GetInductionRange(increment_->GetBlock(), increment_, x_, &v1, &v2, &needs_finite_test);
1150   EXPECT_FALSE(needs_finite_test);
1151   ExpectEqual(Value(1), v1);
1152   ExpectEqual(Value(y_, 1, 0), v2);
1153 
1154   // Loop logic.
1155   int64_t tc = 0;
1156   EXPECT_TRUE(range_.IsFinite(loop_header_->GetLoopInformation(), &tc));
1157   EXPECT_EQ(0, tc);  // unknown
1158   HInstruction* offset = nullptr;
1159   EXPECT_TRUE(range_.IsUnitStride(phi->GetBlock(), phi, graph_, &offset));
1160   ExpectInt(0, offset);
1161   HInstruction* tce = range_.GenerateTripCount(
1162       loop_header_->GetLoopInformation(), graph_, loop_preheader_);
1163   ASSERT_TRUE(tce != nullptr);
1164   EXPECT_TRUE(tce->IsSelect());  // guarded by taken-test
1165   ExpectInt(0, tce->InputAt(0));
1166   EXPECT_TRUE(tce->InputAt(1)->IsParameterValue());
1167   EXPECT_TRUE(tce->InputAt(2)->IsLessThan());
1168 }
1169 
TEST_F(InductionVarRangeTest,SymbolicTripCountDown)1170 TEST_F(InductionVarRangeTest, SymbolicTripCountDown) {
1171   BuildLoop(1000, x_, -1);
1172   PerformInductionVarAnalysis();
1173 
1174   Value v1, v2;
1175   bool needs_finite_test = true;
1176   bool needs_taken_test = true;
1177 
1178   HInstruction* phi = condition_->InputAt(0);
1179 
1180   // In context of header: lower unknown.
1181   range_.GetInductionRange(condition_->GetBlock(), phi, x_, &v1, &v2, &needs_finite_test);
1182   EXPECT_FALSE(needs_finite_test);
1183   ExpectEqual(Value(), v1);
1184   ExpectEqual(Value(1000), v2);
1185 
1186   // In context of loop-body: known.
1187   range_.GetInductionRange(increment_->GetBlock(), phi, x_, &v1, &v2, &needs_finite_test);
1188   EXPECT_FALSE(needs_finite_test);
1189   ExpectEqual(Value(x_, 1, 1), v1);
1190   ExpectEqual(Value(1000), v2);
1191   range_.GetInductionRange(increment_->GetBlock(), increment_, x_, &v1, &v2, &needs_finite_test);
1192   EXPECT_FALSE(needs_finite_test);
1193   ExpectEqual(Value(x_, 1, 0), v1);
1194   ExpectEqual(Value(999), v2);
1195 
1196   HInstruction* lower = nullptr;
1197   HInstruction* upper = nullptr;
1198 
1199   // Can generate code in context of loop-body only.
1200   EXPECT_FALSE(
1201       range_.CanGenerateRange(condition_->GetBlock(), phi, &needs_finite_test, &needs_taken_test));
1202   ASSERT_TRUE(
1203       range_.CanGenerateRange(increment_->GetBlock(), phi, &needs_finite_test, &needs_taken_test));
1204   EXPECT_FALSE(needs_finite_test);
1205   EXPECT_TRUE(needs_taken_test);
1206 
1207   // Generates code (unsimplified).
1208   range_.GenerateRange(increment_->GetBlock(), phi, graph_, loop_preheader_, &lower, &upper);
1209 
1210   // Verify lower is 1000-((1000-V)-1).
1211   ASSERT_TRUE(lower != nullptr);
1212   ASSERT_TRUE(lower->IsSub());
1213   ExpectInt(1000, lower->InputAt(0));
1214   lower = lower->InputAt(1);
1215   ASSERT_TRUE(lower->IsSub());
1216   ExpectInt(1, lower->InputAt(1));
1217   lower = lower->InputAt(0);
1218   ASSERT_TRUE(lower->IsSub());
1219   ExpectInt(1000, lower->InputAt(0));
1220   EXPECT_TRUE(lower->InputAt(1)->IsParameterValue());
1221 
1222   // Verify upper is 1000-0.
1223   ASSERT_TRUE(upper != nullptr);
1224   ASSERT_TRUE(upper->IsSub());
1225   ExpectInt(1000, upper->InputAt(0));
1226   ExpectInt(0, upper->InputAt(1));
1227 
1228   // Verify taken-test is 1000>V.
1229   HInstruction* taken = range_.GenerateTakenTest(increment_, graph_, loop_preheader_);
1230   ASSERT_TRUE(taken != nullptr);
1231   ASSERT_TRUE(taken->IsGreaterThan());
1232   ExpectInt(1000, taken->InputAt(0));
1233   EXPECT_TRUE(taken->InputAt(1)->IsParameterValue());
1234 
1235   // Replacement.
1236   range_.Replace(loop_header_->GetLastInstruction(), x_, y_);
1237   range_.GetInductionRange(increment_->GetBlock(), increment_, x_, &v1, &v2, &needs_finite_test);
1238   EXPECT_FALSE(needs_finite_test);
1239   ExpectEqual(Value(y_, 1, 0), v1);
1240   ExpectEqual(Value(999), v2);
1241 
1242   // Loop logic.
1243   int64_t tc = 0;
1244   EXPECT_TRUE(range_.IsFinite(loop_header_->GetLoopInformation(), &tc));
1245   EXPECT_EQ(0, tc);  // unknown
1246   HInstruction* offset = nullptr;
1247   EXPECT_FALSE(range_.IsUnitStride(phi->GetBlock(), phi, graph_, &offset));
1248   HInstruction* tce = range_.GenerateTripCount(
1249       loop_header_->GetLoopInformation(), graph_, loop_preheader_);
1250   ASSERT_TRUE(tce != nullptr);
1251   EXPECT_TRUE(tce->IsSelect());  // guarded by taken-test
1252   ExpectInt(0, tce->InputAt(0));
1253   EXPECT_TRUE(tce->InputAt(1)->IsSub());
1254   EXPECT_TRUE(tce->InputAt(2)->IsGreaterThan());
1255   tce = tce->InputAt(1);
1256   ExpectInt(1000, taken->InputAt(0));
1257   EXPECT_TRUE(taken->InputAt(1)->IsParameterValue());
1258 }
1259 
1260 }  // namespace art
1261