[lldb] Fix warning: 'sprintf' is deprecated in RNBSocketTest
[llvm-project.git] / llvm / unittests / IR / ConstantRangeTest.cpp
blobe1d9b3e387b20021273f4f1050c4431c457c85ca
1 //===- ConstantRangeTest.cpp - ConstantRange tests ------------------------===//
2 //
3 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4 // See https://llvm.org/LICENSE.txt for license information.
5 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6 //
7 //===----------------------------------------------------------------------===//
9 #include "llvm/IR/ConstantRange.h"
10 #include "llvm/ADT/BitVector.h"
11 #include "llvm/ADT/Sequence.h"
12 #include "llvm/ADT/SmallBitVector.h"
13 #include "llvm/IR/Instructions.h"
14 #include "llvm/IR/Operator.h"
15 #include "llvm/Support/KnownBits.h"
16 #include "gtest/gtest.h"
18 using namespace llvm;
20 namespace {
22 class ConstantRangeTest : public ::testing::Test {
23 protected:
24 static ConstantRange Full;
25 static ConstantRange Empty;
26 static ConstantRange One;
27 static ConstantRange Some;
28 static ConstantRange Wrap;
31 template<typename Fn>
32 static void EnumerateAPInts(unsigned Bits, Fn TestFn) {
33 APInt N(Bits, 0);
34 do {
35 TestFn(N);
36 } while (++N != 0);
39 template<typename Fn>
40 static void EnumerateConstantRanges(unsigned Bits, Fn TestFn) {
41 unsigned Max = 1 << Bits;
42 for (unsigned Lo = 0; Lo < Max; Lo++) {
43 for (unsigned Hi = 0; Hi < Max; Hi++) {
44 // Enforce ConstantRange invariant.
45 if (Lo == Hi && Lo != 0 && Lo != Max - 1)
46 continue;
48 ConstantRange CR(APInt(Bits, Lo), APInt(Bits, Hi));
49 TestFn(CR);
54 template <typename Fn>
55 static void EnumerateInterestingConstantRanges(Fn TestFn) {
56 // Check 1 bit ranges, because they may have special cases.
57 EnumerateConstantRanges(/* Bits */ 1, TestFn);
58 // Check 4 bit ranges to have decent coverage without being too slow.
59 EnumerateConstantRanges(/* Bits */ 4, TestFn);
62 template <typename Fn>
63 static void EnumerateTwoInterestingConstantRanges(Fn TestFn) {
64 for (unsigned Bits : {1, 4}) {
65 EnumerateConstantRanges(Bits, [&](const ConstantRange &CR1) {
66 EnumerateConstantRanges(
67 Bits, [&](const ConstantRange &CR2) { TestFn(CR1, CR2); });
68 });
72 template <typename Fn>
73 static void ForeachNumInConstantRange(const ConstantRange &CR, Fn TestFn) {
74 if (!CR.isEmptySet()) {
75 APInt N = CR.getLower();
76 do TestFn(N);
77 while (++N != CR.getUpper());
81 using PreferFn = llvm::function_ref<bool(const ConstantRange &,
82 const ConstantRange &)>;
84 bool PreferSmallest(const ConstantRange &CR1, const ConstantRange &CR2) {
85 return CR1.isSizeStrictlySmallerThan(CR2);
88 bool PreferSmallestUnsigned(const ConstantRange &CR1,
89 const ConstantRange &CR2) {
90 if (CR1.isWrappedSet() != CR2.isWrappedSet())
91 return CR1.isWrappedSet() < CR2.isWrappedSet();
92 return PreferSmallest(CR1, CR2);
95 bool PreferSmallestSigned(const ConstantRange &CR1, const ConstantRange &CR2) {
96 if (CR1.isSignWrappedSet() != CR2.isSignWrappedSet())
97 return CR1.isSignWrappedSet() < CR2.isSignWrappedSet();
98 return PreferSmallest(CR1, CR2);
101 bool PreferSmallestNonFullUnsigned(const ConstantRange &CR1,
102 const ConstantRange &CR2) {
103 if (CR1.isFullSet() != CR2.isFullSet())
104 return CR1.isFullSet() < CR2.isFullSet();
105 return PreferSmallestUnsigned(CR1, CR2);
108 bool PreferSmallestNonFullSigned(const ConstantRange &CR1,
109 const ConstantRange &CR2) {
110 if (CR1.isFullSet() != CR2.isFullSet())
111 return CR1.isFullSet() < CR2.isFullSet();
112 return PreferSmallestSigned(CR1, CR2);
115 testing::AssertionResult rangeContains(const ConstantRange &CR, const APInt &N,
116 ArrayRef<ConstantRange> Inputs) {
117 if (CR.contains(N))
118 return testing::AssertionSuccess();
120 testing::AssertionResult Result = testing::AssertionFailure();
121 Result << CR << " does not contain " << N << " for inputs: ";
122 for (const ConstantRange &Input : Inputs)
123 Result << Input << ", ";
124 return Result;
127 // Check whether constant range CR is an optimal approximation of the set
128 // Elems under the given PreferenceFn. The preference function should return
129 // true if the first range argument is strictly preferred to the second one.
130 static void TestRange(const ConstantRange &CR, const SmallBitVector &Elems,
131 PreferFn PreferenceFn, ArrayRef<ConstantRange> Inputs,
132 bool CheckOptimality = true) {
133 unsigned BitWidth = CR.getBitWidth();
135 // Check conservative correctness.
136 for (unsigned Elem : Elems.set_bits()) {
137 EXPECT_TRUE(rangeContains(CR, APInt(BitWidth, Elem), Inputs));
140 if (!CheckOptimality)
141 return;
143 // Make sure we have at least one element for the code below.
144 if (Elems.none()) {
145 EXPECT_TRUE(CR.isEmptySet());
146 return;
149 auto NotPreferred = [&](const ConstantRange &PossibleCR) {
150 if (!PreferenceFn(PossibleCR, CR))
151 return testing::AssertionSuccess();
153 testing::AssertionResult Result = testing::AssertionFailure();
154 Result << "Inputs = ";
155 for (const ConstantRange &Input : Inputs)
156 Result << Input << ", ";
157 Result << "CR = " << CR << ", BetterCR = " << PossibleCR;
158 return Result;
161 // Look at all pairs of adjacent elements and the slack-free ranges
162 // [Elem, PrevElem] they imply. Check that none of the ranges are strictly
163 // preferred over the computed range (they may have equal preference).
164 int FirstElem = Elems.find_first();
165 int PrevElem = FirstElem, Elem;
166 do {
167 Elem = Elems.find_next(PrevElem);
168 if (Elem < 0)
169 Elem = FirstElem; // Wrap around to first element.
171 ConstantRange PossibleCR =
172 ConstantRange::getNonEmpty(APInt(BitWidth, Elem),
173 APInt(BitWidth, PrevElem) + 1);
174 // We get a full range any time PrevElem and Elem are adjacent. Avoid
175 // repeated checks by skipping here, and explicitly checking below instead.
176 if (!PossibleCR.isFullSet()) {
177 EXPECT_TRUE(NotPreferred(PossibleCR));
180 PrevElem = Elem;
181 } while (Elem != FirstElem);
183 EXPECT_TRUE(NotPreferred(ConstantRange::getFull(BitWidth)));
186 using UnaryRangeFn = llvm::function_ref<ConstantRange(const ConstantRange &)>;
187 using UnaryIntFn = llvm::function_ref<std::optional<APInt>(const APInt &)>;
189 static void TestUnaryOpExhaustive(UnaryRangeFn RangeFn, UnaryIntFn IntFn,
190 PreferFn PreferenceFn = PreferSmallest) {
191 EnumerateInterestingConstantRanges([&](const ConstantRange &CR) {
192 SmallBitVector Elems(1 << CR.getBitWidth());
193 ForeachNumInConstantRange(CR, [&](const APInt &N) {
194 if (std::optional<APInt> ResultN = IntFn(N))
195 Elems.set(ResultN->getZExtValue());
197 TestRange(RangeFn(CR), Elems, PreferenceFn, {CR});
201 using BinaryRangeFn = llvm::function_ref<ConstantRange(const ConstantRange &,
202 const ConstantRange &)>;
203 using BinaryIntFn =
204 llvm::function_ref<std::optional<APInt>(const APInt &, const APInt &)>;
205 using BinaryCheckFn = llvm::function_ref<bool(const ConstantRange &,
206 const ConstantRange &)>;
208 static bool CheckAll(const ConstantRange &, const ConstantRange &) {
209 return true;
212 static bool CheckCorrectnessOnly(const ConstantRange &, const ConstantRange &) {
213 return false;
216 static bool CheckSingleElementsOnly(const ConstantRange &CR1,
217 const ConstantRange &CR2) {
218 return CR1.isSingleElement() && CR2.isSingleElement();
221 static bool CheckNonWrappedOnly(const ConstantRange &CR1,
222 const ConstantRange &CR2) {
223 return !CR1.isWrappedSet() && !CR2.isWrappedSet();
226 static bool CheckNonSignWrappedOnly(const ConstantRange &CR1,
227 const ConstantRange &CR2) {
228 return !CR1.isSignWrappedSet() && !CR2.isSignWrappedSet();
231 static bool
232 CheckNoSignedWrappedLHSAndNoWrappedRHSOnly(const ConstantRange &CR1,
233 const ConstantRange &CR2) {
234 return !CR1.isSignWrappedSet() && !CR2.isWrappedSet();
237 static bool CheckNonWrappedOrSignWrappedOnly(const ConstantRange &CR1,
238 const ConstantRange &CR2) {
239 return !CR1.isWrappedSet() && !CR1.isSignWrappedSet() &&
240 !CR2.isWrappedSet() && !CR2.isSignWrappedSet();
243 // CheckFn determines whether optimality is checked for a given range pair.
244 // Correctness is always checked.
245 static void TestBinaryOpExhaustive(BinaryRangeFn RangeFn, BinaryIntFn IntFn,
246 PreferFn PreferenceFn = PreferSmallest,
247 BinaryCheckFn CheckFn = CheckAll) {
248 EnumerateTwoInterestingConstantRanges(
249 [&](const ConstantRange &CR1, const ConstantRange &CR2) {
250 SmallBitVector Elems(1 << CR1.getBitWidth());
251 ForeachNumInConstantRange(CR1, [&](const APInt &N1) {
252 ForeachNumInConstantRange(CR2, [&](const APInt &N2) {
253 if (std::optional<APInt> ResultN = IntFn(N1, N2))
254 Elems.set(ResultN->getZExtValue());
257 TestRange(RangeFn(CR1, CR2), Elems, PreferenceFn, {CR1, CR2},
258 CheckFn(CR1, CR2));
262 ConstantRange ConstantRangeTest::Full(16, true);
263 ConstantRange ConstantRangeTest::Empty(16, false);
264 ConstantRange ConstantRangeTest::One(APInt(16, 0xa));
265 ConstantRange ConstantRangeTest::Some(APInt(16, 0xa), APInt(16, 0xaaa));
266 ConstantRange ConstantRangeTest::Wrap(APInt(16, 0xaaa), APInt(16, 0xa));
268 TEST_F(ConstantRangeTest, Basics) {
269 EXPECT_TRUE(Full.isFullSet());
270 EXPECT_FALSE(Full.isEmptySet());
271 EXPECT_TRUE(Full.inverse().isEmptySet());
272 EXPECT_FALSE(Full.isWrappedSet());
273 EXPECT_TRUE(Full.contains(APInt(16, 0x0)));
274 EXPECT_TRUE(Full.contains(APInt(16, 0x9)));
275 EXPECT_TRUE(Full.contains(APInt(16, 0xa)));
276 EXPECT_TRUE(Full.contains(APInt(16, 0xaa9)));
277 EXPECT_TRUE(Full.contains(APInt(16, 0xaaa)));
279 EXPECT_FALSE(Empty.isFullSet());
280 EXPECT_TRUE(Empty.isEmptySet());
281 EXPECT_TRUE(Empty.inverse().isFullSet());
282 EXPECT_FALSE(Empty.isWrappedSet());
283 EXPECT_FALSE(Empty.contains(APInt(16, 0x0)));
284 EXPECT_FALSE(Empty.contains(APInt(16, 0x9)));
285 EXPECT_FALSE(Empty.contains(APInt(16, 0xa)));
286 EXPECT_FALSE(Empty.contains(APInt(16, 0xaa9)));
287 EXPECT_FALSE(Empty.contains(APInt(16, 0xaaa)));
289 EXPECT_FALSE(One.isFullSet());
290 EXPECT_FALSE(One.isEmptySet());
291 EXPECT_FALSE(One.isWrappedSet());
292 EXPECT_FALSE(One.contains(APInt(16, 0x0)));
293 EXPECT_FALSE(One.contains(APInt(16, 0x9)));
294 EXPECT_TRUE(One.contains(APInt(16, 0xa)));
295 EXPECT_FALSE(One.contains(APInt(16, 0xaa9)));
296 EXPECT_FALSE(One.contains(APInt(16, 0xaaa)));
297 EXPECT_FALSE(One.inverse().contains(APInt(16, 0xa)));
299 EXPECT_FALSE(Some.isFullSet());
300 EXPECT_FALSE(Some.isEmptySet());
301 EXPECT_FALSE(Some.isWrappedSet());
302 EXPECT_FALSE(Some.contains(APInt(16, 0x0)));
303 EXPECT_FALSE(Some.contains(APInt(16, 0x9)));
304 EXPECT_TRUE(Some.contains(APInt(16, 0xa)));
305 EXPECT_TRUE(Some.contains(APInt(16, 0xaa9)));
306 EXPECT_FALSE(Some.contains(APInt(16, 0xaaa)));
308 EXPECT_FALSE(Wrap.isFullSet());
309 EXPECT_FALSE(Wrap.isEmptySet());
310 EXPECT_TRUE(Wrap.isWrappedSet());
311 EXPECT_TRUE(Wrap.contains(APInt(16, 0x0)));
312 EXPECT_TRUE(Wrap.contains(APInt(16, 0x9)));
313 EXPECT_FALSE(Wrap.contains(APInt(16, 0xa)));
314 EXPECT_FALSE(Wrap.contains(APInt(16, 0xaa9)));
315 EXPECT_TRUE(Wrap.contains(APInt(16, 0xaaa)));
318 TEST_F(ConstantRangeTest, Equality) {
319 EXPECT_EQ(Full, Full);
320 EXPECT_EQ(Empty, Empty);
321 EXPECT_EQ(One, One);
322 EXPECT_EQ(Some, Some);
323 EXPECT_EQ(Wrap, Wrap);
324 EXPECT_NE(Full, Empty);
325 EXPECT_NE(Full, One);
326 EXPECT_NE(Full, Some);
327 EXPECT_NE(Full, Wrap);
328 EXPECT_NE(Empty, One);
329 EXPECT_NE(Empty, Some);
330 EXPECT_NE(Empty, Wrap);
331 EXPECT_NE(One, Some);
332 EXPECT_NE(One, Wrap);
333 EXPECT_NE(Some, Wrap);
336 TEST_F(ConstantRangeTest, SingleElement) {
337 EXPECT_EQ(Full.getSingleElement(), static_cast<APInt *>(nullptr));
338 EXPECT_EQ(Empty.getSingleElement(), static_cast<APInt *>(nullptr));
339 EXPECT_EQ(Full.getSingleMissingElement(), static_cast<APInt *>(nullptr));
340 EXPECT_EQ(Empty.getSingleMissingElement(), static_cast<APInt *>(nullptr));
342 EXPECT_EQ(*One.getSingleElement(), APInt(16, 0xa));
343 EXPECT_EQ(Some.getSingleElement(), static_cast<APInt *>(nullptr));
344 EXPECT_EQ(Wrap.getSingleElement(), static_cast<APInt *>(nullptr));
346 EXPECT_EQ(One.getSingleMissingElement(), static_cast<APInt *>(nullptr));
347 EXPECT_EQ(Some.getSingleMissingElement(), static_cast<APInt *>(nullptr));
349 ConstantRange OneInverse = One.inverse();
350 EXPECT_EQ(*OneInverse.getSingleMissingElement(), *One.getSingleElement());
352 EXPECT_FALSE(Full.isSingleElement());
353 EXPECT_FALSE(Empty.isSingleElement());
354 EXPECT_TRUE(One.isSingleElement());
355 EXPECT_FALSE(Some.isSingleElement());
356 EXPECT_FALSE(Wrap.isSingleElement());
359 TEST_F(ConstantRangeTest, GetMinsAndMaxes) {
360 EXPECT_EQ(Full.getUnsignedMax(), APInt(16, UINT16_MAX));
361 EXPECT_EQ(One.getUnsignedMax(), APInt(16, 0xa));
362 EXPECT_EQ(Some.getUnsignedMax(), APInt(16, 0xaa9));
363 EXPECT_EQ(Wrap.getUnsignedMax(), APInt(16, UINT16_MAX));
365 EXPECT_EQ(Full.getUnsignedMin(), APInt(16, 0));
366 EXPECT_EQ(One.getUnsignedMin(), APInt(16, 0xa));
367 EXPECT_EQ(Some.getUnsignedMin(), APInt(16, 0xa));
368 EXPECT_EQ(Wrap.getUnsignedMin(), APInt(16, 0));
370 EXPECT_EQ(Full.getSignedMax(), APInt(16, INT16_MAX));
371 EXPECT_EQ(One.getSignedMax(), APInt(16, 0xa));
372 EXPECT_EQ(Some.getSignedMax(), APInt(16, 0xaa9));
373 EXPECT_EQ(Wrap.getSignedMax(), APInt(16, INT16_MAX));
375 EXPECT_EQ(Full.getSignedMin(), APInt(16, (uint16_t)INT16_MIN));
376 EXPECT_EQ(One.getSignedMin(), APInt(16, 0xa));
377 EXPECT_EQ(Some.getSignedMin(), APInt(16, 0xa));
378 EXPECT_EQ(Wrap.getSignedMin(), APInt(16, (uint16_t)INT16_MIN));
380 // Found by Klee
381 EXPECT_EQ(ConstantRange(APInt(4, 7), APInt(4, 0)).getSignedMax(),
382 APInt(4, 7));
385 TEST_F(ConstantRangeTest, SignWrapped) {
386 EXPECT_FALSE(Full.isSignWrappedSet());
387 EXPECT_FALSE(Empty.isSignWrappedSet());
388 EXPECT_FALSE(One.isSignWrappedSet());
389 EXPECT_FALSE(Some.isSignWrappedSet());
390 EXPECT_TRUE(Wrap.isSignWrappedSet());
392 EXPECT_FALSE(ConstantRange(APInt(8, 127), APInt(8, 128)).isSignWrappedSet());
393 EXPECT_TRUE(ConstantRange(APInt(8, 127), APInt(8, 129)).isSignWrappedSet());
394 EXPECT_FALSE(ConstantRange(APInt(8, 128), APInt(8, 129)).isSignWrappedSet());
395 EXPECT_TRUE(ConstantRange(APInt(8, 10), APInt(8, 9)).isSignWrappedSet());
396 EXPECT_TRUE(ConstantRange(APInt(8, 10), APInt(8, 250)).isSignWrappedSet());
397 EXPECT_FALSE(ConstantRange(APInt(8, 250), APInt(8, 10)).isSignWrappedSet());
398 EXPECT_FALSE(ConstantRange(APInt(8, 250), APInt(8, 251)).isSignWrappedSet());
401 TEST_F(ConstantRangeTest, UpperWrapped) {
402 // The behavior here is the same as for isWrappedSet() / isSignWrappedSet().
403 EXPECT_FALSE(Full.isUpperWrapped());
404 EXPECT_FALSE(Empty.isUpperWrapped());
405 EXPECT_FALSE(One.isUpperWrapped());
406 EXPECT_FALSE(Some.isUpperWrapped());
407 EXPECT_TRUE(Wrap.isUpperWrapped());
408 EXPECT_FALSE(Full.isUpperSignWrapped());
409 EXPECT_FALSE(Empty.isUpperSignWrapped());
410 EXPECT_FALSE(One.isUpperSignWrapped());
411 EXPECT_FALSE(Some.isUpperSignWrapped());
412 EXPECT_TRUE(Wrap.isUpperSignWrapped());
414 // The behavior differs if Upper is the Min/SignedMin value.
415 ConstantRange CR1(APInt(8, 42), APInt::getMinValue(8));
416 EXPECT_FALSE(CR1.isWrappedSet());
417 EXPECT_TRUE(CR1.isUpperWrapped());
419 ConstantRange CR2(APInt(8, 42), APInt::getSignedMinValue(8));
420 EXPECT_FALSE(CR2.isSignWrappedSet());
421 EXPECT_TRUE(CR2.isUpperSignWrapped());
424 TEST_F(ConstantRangeTest, Trunc) {
425 ConstantRange TFull = Full.truncate(10);
426 ConstantRange TEmpty = Empty.truncate(10);
427 ConstantRange TOne = One.truncate(10);
428 ConstantRange TSome = Some.truncate(10);
429 ConstantRange TWrap = Wrap.truncate(10);
430 EXPECT_TRUE(TFull.isFullSet());
431 EXPECT_TRUE(TEmpty.isEmptySet());
432 EXPECT_EQ(TOne, ConstantRange(One.getLower().trunc(10),
433 One.getUpper().trunc(10)));
434 EXPECT_TRUE(TSome.isFullSet());
435 EXPECT_TRUE(TWrap.isFullSet());
437 // trunc([2, 5), 3->2) = [2, 1)
438 ConstantRange TwoFive(APInt(3, 2), APInt(3, 5));
439 EXPECT_EQ(TwoFive.truncate(2), ConstantRange(APInt(2, 2), APInt(2, 1)));
441 // trunc([2, 6), 3->2) = full
442 ConstantRange TwoSix(APInt(3, 2), APInt(3, 6));
443 EXPECT_TRUE(TwoSix.truncate(2).isFullSet());
445 // trunc([5, 7), 3->2) = [1, 3)
446 ConstantRange FiveSeven(APInt(3, 5), APInt(3, 7));
447 EXPECT_EQ(FiveSeven.truncate(2), ConstantRange(APInt(2, 1), APInt(2, 3)));
449 // trunc([7, 1), 3->2) = [3, 1)
450 ConstantRange SevenOne(APInt(3, 7), APInt(3, 1));
451 EXPECT_EQ(SevenOne.truncate(2), ConstantRange(APInt(2, 3), APInt(2, 1)));
454 TEST_F(ConstantRangeTest, ZExt) {
455 ConstantRange ZFull = Full.zeroExtend(20);
456 ConstantRange ZEmpty = Empty.zeroExtend(20);
457 ConstantRange ZOne = One.zeroExtend(20);
458 ConstantRange ZSome = Some.zeroExtend(20);
459 ConstantRange ZWrap = Wrap.zeroExtend(20);
460 EXPECT_EQ(ZFull, ConstantRange(APInt(20, 0), APInt(20, 0x10000)));
461 EXPECT_TRUE(ZEmpty.isEmptySet());
462 EXPECT_EQ(ZOne, ConstantRange(One.getLower().zext(20),
463 One.getUpper().zext(20)));
464 EXPECT_EQ(ZSome, ConstantRange(Some.getLower().zext(20),
465 Some.getUpper().zext(20)));
466 EXPECT_EQ(ZWrap, ConstantRange(APInt(20, 0), APInt(20, 0x10000)));
468 // zext([5, 0), 3->7) = [5, 8)
469 ConstantRange FiveZero(APInt(3, 5), APInt(3, 0));
470 EXPECT_EQ(FiveZero.zeroExtend(7), ConstantRange(APInt(7, 5), APInt(7, 8)));
473 TEST_F(ConstantRangeTest, SExt) {
474 ConstantRange SFull = Full.signExtend(20);
475 ConstantRange SEmpty = Empty.signExtend(20);
476 ConstantRange SOne = One.signExtend(20);
477 ConstantRange SSome = Some.signExtend(20);
478 ConstantRange SWrap = Wrap.signExtend(20);
479 EXPECT_EQ(SFull, ConstantRange(APInt(20, (uint64_t)INT16_MIN, true),
480 APInt(20, INT16_MAX + 1, true)));
481 EXPECT_TRUE(SEmpty.isEmptySet());
482 EXPECT_EQ(SOne, ConstantRange(One.getLower().sext(20),
483 One.getUpper().sext(20)));
484 EXPECT_EQ(SSome, ConstantRange(Some.getLower().sext(20),
485 Some.getUpper().sext(20)));
486 EXPECT_EQ(SWrap, ConstantRange(APInt(20, (uint64_t)INT16_MIN, true),
487 APInt(20, INT16_MAX + 1, true)));
489 EXPECT_EQ(ConstantRange(APInt(8, 120), APInt(8, 140)).signExtend(16),
490 ConstantRange(APInt(16, -128, true), APInt(16, 128)));
492 EXPECT_EQ(ConstantRange(APInt(16, 0x0200), APInt(16, 0x8000)).signExtend(19),
493 ConstantRange(APInt(19, 0x0200), APInt(19, 0x8000)));
496 TEST_F(ConstantRangeTest, IntersectWith) {
497 EXPECT_EQ(Empty.intersectWith(Full), Empty);
498 EXPECT_EQ(Empty.intersectWith(Empty), Empty);
499 EXPECT_EQ(Empty.intersectWith(One), Empty);
500 EXPECT_EQ(Empty.intersectWith(Some), Empty);
501 EXPECT_EQ(Empty.intersectWith(Wrap), Empty);
502 EXPECT_EQ(Full.intersectWith(Full), Full);
503 EXPECT_EQ(Some.intersectWith(Some), Some);
504 EXPECT_EQ(Some.intersectWith(One), One);
505 EXPECT_EQ(Full.intersectWith(One), One);
506 EXPECT_EQ(Full.intersectWith(Some), Some);
507 EXPECT_EQ(Some.intersectWith(Wrap), Empty);
508 EXPECT_EQ(One.intersectWith(Wrap), Empty);
509 EXPECT_EQ(One.intersectWith(Wrap), Wrap.intersectWith(One));
511 // Klee generated testcase from PR4545.
512 // The intersection of i16 [4, 2) and [6, 5) is disjoint, looking like
513 // 01..4.6789ABCDEF where the dots represent values not in the intersection.
514 ConstantRange LHS(APInt(16, 4), APInt(16, 2));
515 ConstantRange RHS(APInt(16, 6), APInt(16, 5));
516 EXPECT_TRUE(LHS.intersectWith(RHS) == LHS);
518 // previous bug: intersection of [min, 3) and [2, max) should be 2
519 LHS = ConstantRange(APInt(32, (uint32_t)-2147483646), APInt(32, 3));
520 RHS = ConstantRange(APInt(32, 2), APInt(32, 2147483646));
521 EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 2)));
523 // [2, 0) /\ [4, 3) = [2, 0)
524 LHS = ConstantRange(APInt(32, 2), APInt(32, 0));
525 RHS = ConstantRange(APInt(32, 4), APInt(32, 3));
526 EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 2), APInt(32, 0)));
528 // [2, 0) /\ [4, 2) = [4, 0)
529 LHS = ConstantRange(APInt(32, 2), APInt(32, 0));
530 RHS = ConstantRange(APInt(32, 4), APInt(32, 2));
531 EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 4), APInt(32, 0)));
533 // [4, 2) /\ [5, 1) = [5, 1)
534 LHS = ConstantRange(APInt(32, 4), APInt(32, 2));
535 RHS = ConstantRange(APInt(32, 5), APInt(32, 1));
536 EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 5), APInt(32, 1)));
538 // [2, 0) /\ [7, 4) = [7, 4)
539 LHS = ConstantRange(APInt(32, 2), APInt(32, 0));
540 RHS = ConstantRange(APInt(32, 7), APInt(32, 4));
541 EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 7), APInt(32, 4)));
543 // [4, 2) /\ [1, 0) = [1, 0)
544 LHS = ConstantRange(APInt(32, 4), APInt(32, 2));
545 RHS = ConstantRange(APInt(32, 1), APInt(32, 0));
546 EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 4), APInt(32, 2)));
548 // [15, 0) /\ [7, 6) = [15, 0)
549 LHS = ConstantRange(APInt(32, 15), APInt(32, 0));
550 RHS = ConstantRange(APInt(32, 7), APInt(32, 6));
551 EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 15), APInt(32, 0)));
554 template <typename Fn1, typename Fn2, typename Fn3>
555 void testBinarySetOperationExhaustive(Fn1 OpFn, Fn2 ExactOpFn, Fn3 InResultFn) {
556 EnumerateTwoInterestingConstantRanges(
557 [=](const ConstantRange &CR1, const ConstantRange &CR2) {
558 unsigned Bits = CR1.getBitWidth();
559 SmallBitVector Elems(1 << Bits);
560 APInt Num(Bits, 0);
561 for (unsigned I = 0, Limit = 1 << Bits; I < Limit; ++I, ++Num)
562 if (InResultFn(CR1, CR2, Num))
563 Elems.set(Num.getZExtValue());
565 ConstantRange SmallestCR = OpFn(CR1, CR2, ConstantRange::Smallest);
566 TestRange(SmallestCR, Elems, PreferSmallest, {CR1, CR2});
568 ConstantRange UnsignedCR = OpFn(CR1, CR2, ConstantRange::Unsigned);
569 TestRange(UnsignedCR, Elems, PreferSmallestNonFullUnsigned, {CR1, CR2});
571 ConstantRange SignedCR = OpFn(CR1, CR2, ConstantRange::Signed);
572 TestRange(SignedCR, Elems, PreferSmallestNonFullSigned, {CR1, CR2});
574 std::optional<ConstantRange> ExactCR = ExactOpFn(CR1, CR2);
575 if (SmallestCR.isSizeLargerThan(Elems.count())) {
576 EXPECT_TRUE(!ExactCR);
577 } else {
578 EXPECT_EQ(SmallestCR, *ExactCR);
583 TEST_F(ConstantRangeTest, IntersectWithExhaustive) {
584 testBinarySetOperationExhaustive(
585 [](const ConstantRange &CR1, const ConstantRange &CR2,
586 ConstantRange::PreferredRangeType Type) {
587 return CR1.intersectWith(CR2, Type);
589 [](const ConstantRange &CR1, const ConstantRange &CR2) {
590 return CR1.exactIntersectWith(CR2);
592 [](const ConstantRange &CR1, const ConstantRange &CR2, const APInt &N) {
593 return CR1.contains(N) && CR2.contains(N);
597 TEST_F(ConstantRangeTest, UnionWithExhaustive) {
598 testBinarySetOperationExhaustive(
599 [](const ConstantRange &CR1, const ConstantRange &CR2,
600 ConstantRange::PreferredRangeType Type) {
601 return CR1.unionWith(CR2, Type);
603 [](const ConstantRange &CR1, const ConstantRange &CR2) {
604 return CR1.exactUnionWith(CR2);
606 [](const ConstantRange &CR1, const ConstantRange &CR2, const APInt &N) {
607 return CR1.contains(N) || CR2.contains(N);
611 TEST_F(ConstantRangeTest, UnionWith) {
612 EXPECT_EQ(Wrap.unionWith(One),
613 ConstantRange(APInt(16, 0xaaa), APInt(16, 0xb)));
614 EXPECT_EQ(One.unionWith(Wrap), Wrap.unionWith(One));
615 EXPECT_EQ(Empty.unionWith(Empty), Empty);
616 EXPECT_EQ(Full.unionWith(Full), Full);
617 EXPECT_EQ(Some.unionWith(Wrap), Full);
619 // PR4545
620 EXPECT_EQ(ConstantRange(APInt(16, 14), APInt(16, 1)).unionWith(
621 ConstantRange(APInt(16, 0), APInt(16, 8))),
622 ConstantRange(APInt(16, 14), APInt(16, 8)));
623 EXPECT_EQ(ConstantRange(APInt(16, 6), APInt(16, 4)).unionWith(
624 ConstantRange(APInt(16, 4), APInt(16, 0))),
625 ConstantRange::getFull(16));
626 EXPECT_EQ(ConstantRange(APInt(16, 1), APInt(16, 0)).unionWith(
627 ConstantRange(APInt(16, 2), APInt(16, 1))),
628 ConstantRange::getFull(16));
631 TEST_F(ConstantRangeTest, SetDifference) {
632 EXPECT_EQ(Full.difference(Empty), Full);
633 EXPECT_EQ(Full.difference(Full), Empty);
634 EXPECT_EQ(Empty.difference(Empty), Empty);
635 EXPECT_EQ(Empty.difference(Full), Empty);
637 ConstantRange A(APInt(16, 3), APInt(16, 7));
638 ConstantRange B(APInt(16, 5), APInt(16, 9));
639 ConstantRange C(APInt(16, 3), APInt(16, 5));
640 ConstantRange D(APInt(16, 7), APInt(16, 9));
641 ConstantRange E(APInt(16, 5), APInt(16, 4));
642 ConstantRange F(APInt(16, 7), APInt(16, 3));
643 EXPECT_EQ(A.difference(B), C);
644 EXPECT_EQ(B.difference(A), D);
645 EXPECT_EQ(E.difference(A), F);
648 TEST_F(ConstantRangeTest, getActiveBits) {
649 EnumerateInterestingConstantRanges([&](const ConstantRange &CR) {
650 unsigned Exact = 0;
651 ForeachNumInConstantRange(CR, [&](const APInt &N) {
652 Exact = std::max(Exact, N.getActiveBits());
655 unsigned ResultCR = CR.getActiveBits();
656 EXPECT_EQ(Exact, ResultCR);
659 TEST_F(ConstantRangeTest, losslessUnsignedTruncationZeroext) {
660 EnumerateInterestingConstantRanges([&](const ConstantRange &CR) {
661 unsigned Bits = CR.getBitWidth();
662 unsigned MinBitWidth = CR.getActiveBits();
663 if (MinBitWidth == 0) {
664 EXPECT_TRUE(CR.isEmptySet() ||
665 (CR.isSingleElement() && CR.getSingleElement()->isZero()));
666 return;
668 if (MinBitWidth == Bits)
669 return;
670 EXPECT_EQ(CR, CR.truncate(MinBitWidth).zeroExtend(Bits));
674 TEST_F(ConstantRangeTest, getMinSignedBits) {
675 EnumerateInterestingConstantRanges([&](const ConstantRange &CR) {
676 unsigned Exact = 0;
677 ForeachNumInConstantRange(CR, [&](const APInt &N) {
678 Exact = std::max(Exact, N.getSignificantBits());
681 unsigned ResultCR = CR.getMinSignedBits();
682 EXPECT_EQ(Exact, ResultCR);
685 TEST_F(ConstantRangeTest, losslessSignedTruncationSignext) {
686 EnumerateInterestingConstantRanges([&](const ConstantRange &CR) {
687 unsigned Bits = CR.getBitWidth();
688 unsigned MinBitWidth = CR.getMinSignedBits();
689 if (MinBitWidth == 0) {
690 EXPECT_TRUE(CR.isEmptySet());
691 return;
693 if (MinBitWidth == Bits)
694 return;
695 EXPECT_EQ(CR, CR.truncate(MinBitWidth).signExtend(Bits));
699 TEST_F(ConstantRangeTest, SubtractAPInt) {
700 EXPECT_EQ(Full.subtract(APInt(16, 4)), Full);
701 EXPECT_EQ(Empty.subtract(APInt(16, 4)), Empty);
702 EXPECT_EQ(Some.subtract(APInt(16, 4)),
703 ConstantRange(APInt(16, 0x6), APInt(16, 0xaa6)));
704 EXPECT_EQ(Wrap.subtract(APInt(16, 4)),
705 ConstantRange(APInt(16, 0xaa6), APInt(16, 0x6)));
706 EXPECT_EQ(One.subtract(APInt(16, 4)),
707 ConstantRange(APInt(16, 0x6)));
710 TEST_F(ConstantRangeTest, Add) {
711 EXPECT_EQ(Full.add(APInt(16, 4)), Full);
712 EXPECT_EQ(Full.add(Full), Full);
713 EXPECT_EQ(Full.add(Empty), Empty);
714 EXPECT_EQ(Full.add(One), Full);
715 EXPECT_EQ(Full.add(Some), Full);
716 EXPECT_EQ(Full.add(Wrap), Full);
717 EXPECT_EQ(Empty.add(Empty), Empty);
718 EXPECT_EQ(Empty.add(One), Empty);
719 EXPECT_EQ(Empty.add(Some), Empty);
720 EXPECT_EQ(Empty.add(Wrap), Empty);
721 EXPECT_EQ(Empty.add(APInt(16, 4)), Empty);
722 EXPECT_EQ(Some.add(APInt(16, 4)),
723 ConstantRange(APInt(16, 0xe), APInt(16, 0xaae)));
724 EXPECT_EQ(Wrap.add(APInt(16, 4)),
725 ConstantRange(APInt(16, 0xaae), APInt(16, 0xe)));
726 EXPECT_EQ(One.add(APInt(16, 4)),
727 ConstantRange(APInt(16, 0xe)));
729 TestBinaryOpExhaustive(
730 [](const ConstantRange &CR1, const ConstantRange &CR2) {
731 return CR1.add(CR2);
733 [](const APInt &N1, const APInt &N2) {
734 return N1 + N2;
738 TEST_F(ConstantRangeTest, AddWithNoWrap) {
739 typedef OverflowingBinaryOperator OBO;
740 EXPECT_EQ(Empty.addWithNoWrap(Some, OBO::NoSignedWrap), Empty);
741 EXPECT_EQ(Some.addWithNoWrap(Empty, OBO::NoSignedWrap), Empty);
742 EXPECT_EQ(Full.addWithNoWrap(Full, OBO::NoSignedWrap), Full);
743 EXPECT_NE(Full.addWithNoWrap(Some, OBO::NoSignedWrap), Full);
744 EXPECT_NE(Some.addWithNoWrap(Full, OBO::NoSignedWrap), Full);
745 EXPECT_EQ(Full.addWithNoWrap(ConstantRange(APInt(16, 1), APInt(16, 2)),
746 OBO::NoSignedWrap),
747 ConstantRange(APInt(16, INT16_MIN + 1, true),
748 APInt(16, INT16_MIN, true)));
749 EXPECT_EQ(ConstantRange(APInt(16, 1), APInt(16, 2))
750 .addWithNoWrap(Full, OBO::NoSignedWrap),
751 ConstantRange(APInt(16, INT16_MIN + 1, true),
752 APInt(16, INT16_MIN, true)));
753 EXPECT_EQ(Full.addWithNoWrap(ConstantRange(APInt(16, -1, true), APInt(16, 0)),
754 OBO::NoSignedWrap),
755 ConstantRange(APInt(16, INT16_MIN, true), APInt(16, INT16_MAX)));
756 EXPECT_EQ(ConstantRange(APInt(8, 100), APInt(8, 120))
757 .addWithNoWrap(ConstantRange(APInt(8, 120), APInt(8, 123)),
758 OBO::NoSignedWrap),
759 ConstantRange(8, false));
760 EXPECT_EQ(ConstantRange(APInt(8, -120, true), APInt(8, -100, true))
761 .addWithNoWrap(
762 ConstantRange(APInt(8, -110, true), APInt(8, -100, true)),
763 OBO::NoSignedWrap),
764 ConstantRange(8, false));
765 EXPECT_EQ(
766 ConstantRange(APInt(8, 0), APInt(8, 101))
767 .addWithNoWrap(ConstantRange(APInt(8, -128, true), APInt(8, 28)),
768 OBO::NoSignedWrap),
769 ConstantRange(8, true));
770 EXPECT_EQ(
771 ConstantRange(APInt(8, 0), APInt(8, 101))
772 .addWithNoWrap(ConstantRange(APInt(8, -120, true), APInt(8, 29)),
773 OBO::NoSignedWrap),
774 ConstantRange(APInt(8, -120, true), APInt(8, -128, true)));
775 EXPECT_EQ(ConstantRange(APInt(8, -50, true), APInt(8, 50))
776 .addWithNoWrap(ConstantRange(APInt(8, 10), APInt(8, 20)),
777 OBO::NoSignedWrap),
778 ConstantRange(APInt(8, -40, true), APInt(8, 69)));
779 EXPECT_EQ(ConstantRange(APInt(8, 10), APInt(8, 20))
780 .addWithNoWrap(ConstantRange(APInt(8, -50, true), APInt(8, 50)),
781 OBO::NoSignedWrap),
782 ConstantRange(APInt(8, -40, true), APInt(8, 69)));
783 EXPECT_EQ(ConstantRange(APInt(8, 120), APInt(8, -10, true))
784 .addWithNoWrap(ConstantRange(APInt(8, 5), APInt(8, 20)),
785 OBO::NoSignedWrap),
786 ConstantRange(APInt(8, 125), APInt(8, 9)));
787 EXPECT_EQ(
788 ConstantRange(APInt(8, 5), APInt(8, 20))
789 .addWithNoWrap(ConstantRange(APInt(8, 120), APInt(8, -10, true)),
790 OBO::NoSignedWrap),
791 ConstantRange(APInt(8, 125), APInt(8, 9)));
793 TestBinaryOpExhaustive(
794 [](const ConstantRange &CR1, const ConstantRange &CR2) {
795 return CR1.addWithNoWrap(CR2, OBO::NoSignedWrap);
797 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
798 bool IsOverflow;
799 APInt Res = N1.sadd_ov(N2, IsOverflow);
800 if (IsOverflow)
801 return std::nullopt;
802 return Res;
804 PreferSmallest, CheckNonSignWrappedOnly);
806 EXPECT_EQ(Empty.addWithNoWrap(Some, OBO::NoUnsignedWrap), Empty);
807 EXPECT_EQ(Some.addWithNoWrap(Empty, OBO::NoUnsignedWrap), Empty);
808 EXPECT_EQ(Full.addWithNoWrap(Full, OBO::NoUnsignedWrap), Full);
809 EXPECT_NE(Full.addWithNoWrap(Some, OBO::NoUnsignedWrap), Full);
810 EXPECT_NE(Some.addWithNoWrap(Full, OBO::NoUnsignedWrap), Full);
811 EXPECT_EQ(Full.addWithNoWrap(ConstantRange(APInt(16, 1), APInt(16, 2)),
812 OBO::NoUnsignedWrap),
813 ConstantRange(APInt(16, 1), APInt(16, 0)));
814 EXPECT_EQ(ConstantRange(APInt(16, 1), APInt(16, 2))
815 .addWithNoWrap(Full, OBO::NoUnsignedWrap),
816 ConstantRange(APInt(16, 1), APInt(16, 0)));
817 EXPECT_EQ(ConstantRange(APInt(8, 200), APInt(8, 220))
818 .addWithNoWrap(ConstantRange(APInt(8, 100), APInt(8, 123)),
819 OBO::NoUnsignedWrap),
820 ConstantRange(8, false));
821 EXPECT_EQ(ConstantRange(APInt(8, 0), APInt(8, 101))
822 .addWithNoWrap(ConstantRange(APInt(8, 0), APInt(8, 156)),
823 OBO::NoUnsignedWrap),
824 ConstantRange(8, true));
825 EXPECT_EQ(ConstantRange(APInt(8, 0), APInt(8, 101))
826 .addWithNoWrap(ConstantRange(APInt(8, 10), APInt(8, 29)),
827 OBO::NoUnsignedWrap),
828 ConstantRange(APInt(8, 10), APInt(8, 129)));
829 EXPECT_EQ(ConstantRange(APInt(8, 20), APInt(8, 10))
830 .addWithNoWrap(ConstantRange(APInt(8, 50), APInt(8, 200)),
831 OBO::NoUnsignedWrap),
832 ConstantRange(APInt(8, 50), APInt(8, 0)));
833 EXPECT_EQ(ConstantRange(APInt(8, 10), APInt(8, 20))
834 .addWithNoWrap(ConstantRange(APInt(8, 50), APInt(8, 200)),
835 OBO::NoUnsignedWrap),
836 ConstantRange(APInt(8, 60), APInt(8, -37, true)));
837 EXPECT_EQ(ConstantRange(APInt(8, 20), APInt(8, -30, true))
838 .addWithNoWrap(ConstantRange(APInt(8, 5), APInt(8, 20)),
839 OBO::NoUnsignedWrap),
840 ConstantRange(APInt(8, 25), APInt(8, -11, true)));
841 EXPECT_EQ(ConstantRange(APInt(8, 5), APInt(8, 20))
842 .addWithNoWrap(ConstantRange(APInt(8, 20), APInt(8, -30, true)),
843 OBO::NoUnsignedWrap),
844 ConstantRange(APInt(8, 25), APInt(8, -11, true)));
846 TestBinaryOpExhaustive(
847 [](const ConstantRange &CR1, const ConstantRange &CR2) {
848 return CR1.addWithNoWrap(CR2, OBO::NoUnsignedWrap);
850 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
851 bool IsOverflow;
852 APInt Res = N1.uadd_ov(N2, IsOverflow);
853 if (IsOverflow)
854 return std::nullopt;
855 return Res;
857 PreferSmallest, CheckNonWrappedOnly);
859 EXPECT_EQ(ConstantRange(APInt(8, 50), APInt(8, 100))
860 .addWithNoWrap(ConstantRange(APInt(8, 20), APInt(8, 70)),
861 OBO::NoSignedWrap),
862 ConstantRange(APInt(8, 70), APInt(8, -128, true)));
863 EXPECT_EQ(ConstantRange(APInt(8, 50), APInt(8, 100))
864 .addWithNoWrap(ConstantRange(APInt(8, 20), APInt(8, 70)),
865 OBO::NoUnsignedWrap),
866 ConstantRange(APInt(8, 70), APInt(8, 169)));
867 EXPECT_EQ(ConstantRange(APInt(8, 50), APInt(8, 100))
868 .addWithNoWrap(ConstantRange(APInt(8, 20), APInt(8, 70)),
869 OBO::NoUnsignedWrap | OBO::NoSignedWrap),
870 ConstantRange(APInt(8, 70), APInt(8, -128, true)));
872 EXPECT_EQ(ConstantRange(APInt(8, -100, true), APInt(8, -50, true))
873 .addWithNoWrap(ConstantRange(APInt(8, 20), APInt(8, 30)),
874 OBO::NoSignedWrap),
875 ConstantRange(APInt(8, -80, true), APInt(8, -21, true)));
876 EXPECT_EQ(ConstantRange(APInt(8, -100, true), APInt(8, -50, true))
877 .addWithNoWrap(ConstantRange(APInt(8, 20), APInt(8, 30)),
878 OBO::NoUnsignedWrap),
879 ConstantRange(APInt(8, 176), APInt(8, 235)));
880 EXPECT_EQ(ConstantRange(APInt(8, -100, true), APInt(8, -50, true))
881 .addWithNoWrap(ConstantRange(APInt(8, 20), APInt(8, 30)),
882 OBO::NoUnsignedWrap | OBO::NoSignedWrap),
883 ConstantRange(APInt(8, 176), APInt(8, 235)));
885 TestBinaryOpExhaustive(
886 [](const ConstantRange &CR1, const ConstantRange &CR2) {
887 return CR1.addWithNoWrap(CR2, OBO::NoUnsignedWrap | OBO::NoSignedWrap);
889 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
890 bool IsOverflow1, IsOverflow2;
891 APInt Res1 = N1.uadd_ov(N2, IsOverflow1);
892 APInt Res2 = N1.sadd_ov(N2, IsOverflow2);
893 if (IsOverflow1 || IsOverflow2)
894 return std::nullopt;
895 assert(Res1 == Res2 && "Addition results differ?");
896 return Res1;
898 PreferSmallest, CheckNonWrappedOrSignWrappedOnly);
901 TEST_F(ConstantRangeTest, Sub) {
902 EXPECT_EQ(Full.sub(APInt(16, 4)), Full);
903 EXPECT_EQ(Full.sub(Full), Full);
904 EXPECT_EQ(Full.sub(Empty), Empty);
905 EXPECT_EQ(Full.sub(One), Full);
906 EXPECT_EQ(Full.sub(Some), Full);
907 EXPECT_EQ(Full.sub(Wrap), Full);
908 EXPECT_EQ(Empty.sub(Empty), Empty);
909 EXPECT_EQ(Empty.sub(One), Empty);
910 EXPECT_EQ(Empty.sub(Some), Empty);
911 EXPECT_EQ(Empty.sub(Wrap), Empty);
912 EXPECT_EQ(Empty.sub(APInt(16, 4)), Empty);
913 EXPECT_EQ(Some.sub(APInt(16, 4)),
914 ConstantRange(APInt(16, 0x6), APInt(16, 0xaa6)));
915 EXPECT_EQ(Some.sub(Some),
916 ConstantRange(APInt(16, 0xf561), APInt(16, 0xaa0)));
917 EXPECT_EQ(Wrap.sub(APInt(16, 4)),
918 ConstantRange(APInt(16, 0xaa6), APInt(16, 0x6)));
919 EXPECT_EQ(One.sub(APInt(16, 4)),
920 ConstantRange(APInt(16, 0x6)));
922 TestBinaryOpExhaustive(
923 [](const ConstantRange &CR1, const ConstantRange &CR2) {
924 return CR1.sub(CR2);
926 [](const APInt &N1, const APInt &N2) {
927 return N1 - N2;
931 TEST_F(ConstantRangeTest, SubWithNoWrap) {
932 typedef OverflowingBinaryOperator OBO;
933 TestBinaryOpExhaustive(
934 [](const ConstantRange &CR1, const ConstantRange &CR2) {
935 return CR1.subWithNoWrap(CR2, OBO::NoSignedWrap);
937 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
938 bool IsOverflow;
939 APInt Res = N1.ssub_ov(N2, IsOverflow);
940 if (IsOverflow)
941 return std::nullopt;
942 return Res;
944 PreferSmallest, CheckNonSignWrappedOnly);
945 TestBinaryOpExhaustive(
946 [](const ConstantRange &CR1, const ConstantRange &CR2) {
947 return CR1.subWithNoWrap(CR2, OBO::NoUnsignedWrap);
949 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
950 bool IsOverflow;
951 APInt Res = N1.usub_ov(N2, IsOverflow);
952 if (IsOverflow)
953 return std::nullopt;
954 return Res;
956 PreferSmallest, CheckNonWrappedOnly);
957 TestBinaryOpExhaustive(
958 [](const ConstantRange &CR1, const ConstantRange &CR2) {
959 return CR1.subWithNoWrap(CR2, OBO::NoUnsignedWrap | OBO::NoSignedWrap);
961 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
962 bool IsOverflow1, IsOverflow2;
963 APInt Res1 = N1.usub_ov(N2, IsOverflow1);
964 APInt Res2 = N1.ssub_ov(N2, IsOverflow2);
965 if (IsOverflow1 || IsOverflow2)
966 return std::nullopt;
967 assert(Res1 == Res2 && "Subtraction results differ?");
968 return Res1;
970 PreferSmallest, CheckNonWrappedOrSignWrappedOnly);
973 TEST_F(ConstantRangeTest, Multiply) {
974 EXPECT_EQ(Full.multiply(Full), Full);
975 EXPECT_EQ(Full.multiply(Empty), Empty);
976 EXPECT_EQ(Full.multiply(One), Full);
977 EXPECT_EQ(Full.multiply(Some), Full);
978 EXPECT_EQ(Full.multiply(Wrap), Full);
979 EXPECT_EQ(Empty.multiply(Empty), Empty);
980 EXPECT_EQ(Empty.multiply(One), Empty);
981 EXPECT_EQ(Empty.multiply(Some), Empty);
982 EXPECT_EQ(Empty.multiply(Wrap), Empty);
983 EXPECT_EQ(One.multiply(One), ConstantRange(APInt(16, 0xa*0xa),
984 APInt(16, 0xa*0xa + 1)));
985 EXPECT_EQ(One.multiply(Some), ConstantRange(APInt(16, 0xa*0xa),
986 APInt(16, 0xa*0xaa9 + 1)));
987 EXPECT_EQ(One.multiply(Wrap), Full);
988 EXPECT_EQ(Some.multiply(Some), Full);
989 EXPECT_EQ(Some.multiply(Wrap), Full);
990 EXPECT_EQ(Wrap.multiply(Wrap), Full);
992 ConstantRange Zero(APInt(16, 0));
993 EXPECT_EQ(Zero.multiply(Full), Zero);
994 EXPECT_EQ(Zero.multiply(Some), Zero);
995 EXPECT_EQ(Zero.multiply(Wrap), Zero);
996 EXPECT_EQ(Full.multiply(Zero), Zero);
997 EXPECT_EQ(Some.multiply(Zero), Zero);
998 EXPECT_EQ(Wrap.multiply(Zero), Zero);
1000 // http://llvm.org/PR4545
1001 EXPECT_EQ(ConstantRange(APInt(4, 1), APInt(4, 6)).multiply(
1002 ConstantRange(APInt(4, 6), APInt(4, 2))),
1003 ConstantRange(4, /*isFullSet=*/true));
1005 EXPECT_EQ(ConstantRange(APInt(8, 254), APInt(8, 0)).multiply(
1006 ConstantRange(APInt(8, 252), APInt(8, 4))),
1007 ConstantRange(APInt(8, 250), APInt(8, 9)));
1008 EXPECT_EQ(ConstantRange(APInt(8, 254), APInt(8, 255)).multiply(
1009 ConstantRange(APInt(8, 2), APInt(8, 4))),
1010 ConstantRange(APInt(8, 250), APInt(8, 253)));
1012 // TODO: This should be return [-2, 0]
1013 EXPECT_EQ(ConstantRange(APInt(8, -2, true))
1014 .multiply(ConstantRange(APInt(8, 0), APInt(8, 2))),
1015 ConstantRange(APInt(8, -2, true), APInt(8, 1)));
1017 // Multiplication by -1 should give precise results.
1018 EXPECT_EQ(ConstantRange(APInt(8, 3), APInt(8, -11, true))
1019 .multiply(ConstantRange(APInt(8, -1, true))),
1020 ConstantRange(APInt(8, 12), APInt(8, -2, true)));
1021 EXPECT_EQ(ConstantRange(APInt(8, -1, true))
1022 .multiply(ConstantRange(APInt(8, 3), APInt(8, -11, true))),
1023 ConstantRange(APInt(8, 12), APInt(8, -2, true)));
1025 TestBinaryOpExhaustive(
1026 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1027 return CR1.multiply(CR2);
1029 [](const APInt &N1, const APInt &N2) {
1030 return N1 * N2;
1032 PreferSmallest,
1033 [](const ConstantRange &, const ConstantRange &) {
1034 return false; // Check correctness only.
1038 TEST_F(ConstantRangeTest, MultiplyWithNoWrap) {
1039 using OBO = OverflowingBinaryOperator;
1041 EXPECT_EQ(Empty.multiplyWithNoWrap(Some, OBO::NoUnsignedWrap), Empty);
1042 EXPECT_EQ(Some.multiplyWithNoWrap(Empty, OBO::NoUnsignedWrap), Empty);
1043 EXPECT_EQ(Full.multiplyWithNoWrap(Full, OBO::NoUnsignedWrap), Full);
1044 EXPECT_EQ(Full.multiplyWithNoWrap(Some, OBO::NoUnsignedWrap), Full);
1045 EXPECT_EQ(Some.multiplyWithNoWrap(Full, OBO::NoUnsignedWrap), Full);
1046 EXPECT_EQ(ConstantRange(APInt(4, 0), APInt(4, 2))
1047 .multiplyWithNoWrap(ConstantRange(APInt(4, 2), APInt(4, 0)),
1048 OBO::NoUnsignedWrap),
1049 ConstantRange::getFull(4));
1050 EXPECT_EQ(ConstantRange(APInt(4, 1), APInt(4, 5))
1051 .multiplyWithNoWrap(ConstantRange(APInt(4, 1), APInt(4, 5)),
1052 OBO::NoUnsignedWrap),
1053 ConstantRange(APInt(4, 1), APInt(4, 0)));
1054 EXPECT_EQ(ConstantRange(APInt(8, 254), APInt(8, 0))
1055 .multiplyWithNoWrap(ConstantRange(APInt(8, 252), APInt(8, 4)),
1056 OBO::NoUnsignedWrap),
1057 ConstantRange(APInt(8, 250), APInt(8, 9)));
1058 EXPECT_EQ(ConstantRange(APInt(8, 254), APInt(8, 255))
1059 .multiplyWithNoWrap(ConstantRange(APInt(8, 2), APInt(8, 4)),
1060 OBO::NoUnsignedWrap),
1061 ConstantRange::getEmpty(8));
1063 EXPECT_EQ(Empty.multiplyWithNoWrap(Some, OBO::NoSignedWrap), Empty);
1064 EXPECT_EQ(Some.multiplyWithNoWrap(Empty, OBO::NoSignedWrap), Empty);
1065 EXPECT_EQ(Full.multiplyWithNoWrap(Full, OBO::NoSignedWrap), Full);
1066 EXPECT_EQ(Full.multiplyWithNoWrap(Some, OBO::NoSignedWrap), Full);
1067 EXPECT_EQ(Some.multiplyWithNoWrap(Full, OBO::NoSignedWrap), Full);
1068 EXPECT_EQ(
1069 ConstantRange(APInt(4, 0), APInt(4, 4))
1070 .multiplyWithNoWrap(ConstantRange(APInt(4, -5, true), APInt(4, 4)),
1071 OBO::NoSignedWrap),
1072 ConstantRange::getFull(4));
1073 EXPECT_EQ(ConstantRange(APInt(4, 0), APInt(4, 3))
1074 .multiplyWithNoWrap(ConstantRange(APInt(4, 0), APInt(4, 5)),
1075 OBO::NoSignedWrap),
1076 ConstantRange(APInt(4, 0), APInt(4, -8, true)));
1077 EXPECT_EQ(ConstantRange(APInt(8, 3), APInt(8, -11, true))
1078 .multiplyWithNoWrap(ConstantRange(APInt(8, -1, true)),
1079 OBO::NoSignedWrap),
1080 ConstantRange(APInt(8, 12), APInt(8, -2, true)));
1081 EXPECT_EQ(ConstantRange(APInt(8, 254), APInt(8, 255))
1082 .multiplyWithNoWrap(ConstantRange(APInt(8, 100), APInt(8, 121)),
1083 OBO::NoSignedWrap),
1084 ConstantRange::getEmpty(8));
1085 EXPECT_TRUE(ConstantRange::getFull(8)
1086 .multiplyWithNoWrap(ConstantRange(APInt(8, 2), APInt(8, 128)),
1087 OBO::NoUnsignedWrap | OBO::NoSignedWrap)
1088 .isAllNonNegative());
1089 EXPECT_TRUE(ConstantRange(APInt(8, 2), APInt(8, 128))
1090 .multiplyWithNoWrap(ConstantRange::getFull(8),
1091 OBO::NoUnsignedWrap | OBO::NoSignedWrap)
1092 .isAllNonNegative());
1093 EXPECT_FALSE(
1094 ConstantRange::getFull(8)
1095 .multiplyWithNoWrap(ConstantRange(APInt(8, 1), APInt(8, 128)),
1096 OBO::NoUnsignedWrap | OBO::NoSignedWrap)
1097 .isAllNonNegative());
1098 EXPECT_FALSE(
1099 ConstantRange::getFull(8)
1100 .multiplyWithNoWrap(ConstantRange(APInt(8, 2), APInt(8, 128)),
1101 OBO::NoSignedWrap)
1102 .isAllNonNegative());
1104 TestBinaryOpExhaustive(
1105 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1106 return CR1.multiplyWithNoWrap(CR2, OBO::NoUnsignedWrap);
1108 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1109 bool IsOverflow;
1110 APInt Res = N1.umul_ov(N2, IsOverflow);
1111 if (IsOverflow)
1112 return std::nullopt;
1113 return Res;
1115 PreferSmallest, CheckCorrectnessOnly);
1116 TestBinaryOpExhaustive(
1117 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1118 return CR1.multiplyWithNoWrap(CR2, OBO::NoSignedWrap);
1120 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1121 bool IsOverflow;
1122 APInt Res = N1.smul_ov(N2, IsOverflow);
1123 if (IsOverflow)
1124 return std::nullopt;
1125 return Res;
1127 PreferSmallest, CheckCorrectnessOnly);
1128 TestBinaryOpExhaustive(
1129 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1130 return CR1.multiplyWithNoWrap(CR2,
1131 OBO::NoUnsignedWrap | OBO::NoSignedWrap);
1133 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1134 bool IsOverflow1, IsOverflow2;
1135 APInt Res1 = N1.umul_ov(N2, IsOverflow1);
1136 APInt Res2 = N1.smul_ov(N2, IsOverflow2);
1137 if (IsOverflow1 || IsOverflow2)
1138 return std::nullopt;
1139 assert(Res1 == Res2 && "Multiplication results differ?");
1140 return Res1;
1142 PreferSmallest, CheckCorrectnessOnly);
1145 TEST_F(ConstantRangeTest, smul_fast) {
1146 TestBinaryOpExhaustive(
1147 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1148 return CR1.smul_fast(CR2);
1150 [](const APInt &N1, const APInt &N2) { return N1 * N2; }, PreferSmallest,
1151 CheckCorrectnessOnly);
1154 TEST_F(ConstantRangeTest, UMax) {
1155 EXPECT_EQ(Full.umax(Full), Full);
1156 EXPECT_EQ(Full.umax(Empty), Empty);
1157 EXPECT_EQ(Full.umax(Some), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
1158 EXPECT_EQ(Full.umax(Wrap), Full);
1159 EXPECT_EQ(Full.umax(Some), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
1160 EXPECT_EQ(Empty.umax(Empty), Empty);
1161 EXPECT_EQ(Empty.umax(Some), Empty);
1162 EXPECT_EQ(Empty.umax(Wrap), Empty);
1163 EXPECT_EQ(Empty.umax(One), Empty);
1164 EXPECT_EQ(Some.umax(Some), Some);
1165 EXPECT_EQ(Some.umax(Wrap), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
1166 EXPECT_EQ(Some.umax(One), Some);
1167 EXPECT_EQ(Wrap.umax(Wrap), Wrap);
1168 EXPECT_EQ(Wrap.umax(One), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
1169 EXPECT_EQ(One.umax(One), One);
1171 TestBinaryOpExhaustive(
1172 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1173 return CR1.umax(CR2);
1175 [](const APInt &N1, const APInt &N2) {
1176 return APIntOps::umax(N1, N2);
1178 PreferSmallestNonFullUnsigned);
1181 TEST_F(ConstantRangeTest, SMax) {
1182 EXPECT_EQ(Full.smax(Full), Full);
1183 EXPECT_EQ(Full.smax(Empty), Empty);
1184 EXPECT_EQ(Full.smax(Some), ConstantRange(APInt(16, 0xa),
1185 APInt::getSignedMinValue(16)));
1186 EXPECT_EQ(Full.smax(Wrap), Full);
1187 EXPECT_EQ(Full.smax(One), ConstantRange(APInt(16, 0xa),
1188 APInt::getSignedMinValue(16)));
1189 EXPECT_EQ(Empty.smax(Empty), Empty);
1190 EXPECT_EQ(Empty.smax(Some), Empty);
1191 EXPECT_EQ(Empty.smax(Wrap), Empty);
1192 EXPECT_EQ(Empty.smax(One), Empty);
1193 EXPECT_EQ(Some.smax(Some), Some);
1194 EXPECT_EQ(Some.smax(Wrap),
1195 ConstantRange(APInt(16, 0xa), APInt(16, (uint16_t)INT16_MIN)));
1196 EXPECT_EQ(Some.smax(One), Some);
1197 EXPECT_EQ(Wrap.smax(One),
1198 ConstantRange(APInt(16, 0xa), APInt(16, (uint16_t)INT16_MIN)));
1199 EXPECT_EQ(One.smax(One), One);
1201 TestBinaryOpExhaustive(
1202 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1203 return CR1.smax(CR2);
1205 [](const APInt &N1, const APInt &N2) {
1206 return APIntOps::smax(N1, N2);
1208 PreferSmallestNonFullSigned);
1211 TEST_F(ConstantRangeTest, UMin) {
1212 EXPECT_EQ(Full.umin(Full), Full);
1213 EXPECT_EQ(Full.umin(Empty), Empty);
1214 EXPECT_EQ(Full.umin(Some), ConstantRange(APInt(16, 0), APInt(16, 0xaaa)));
1215 EXPECT_EQ(Full.umin(Wrap), Full);
1216 EXPECT_EQ(Empty.umin(Empty), Empty);
1217 EXPECT_EQ(Empty.umin(Some), Empty);
1218 EXPECT_EQ(Empty.umin(Wrap), Empty);
1219 EXPECT_EQ(Empty.umin(One), Empty);
1220 EXPECT_EQ(Some.umin(Some), Some);
1221 EXPECT_EQ(Some.umin(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xaaa)));
1222 EXPECT_EQ(Some.umin(One), One);
1223 EXPECT_EQ(Wrap.umin(Wrap), Wrap);
1224 EXPECT_EQ(Wrap.umin(One), ConstantRange(APInt(16, 0), APInt(16, 0xb)));
1225 EXPECT_EQ(One.umin(One), One);
1227 TestBinaryOpExhaustive(
1228 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1229 return CR1.umin(CR2);
1231 [](const APInt &N1, const APInt &N2) {
1232 return APIntOps::umin(N1, N2);
1234 PreferSmallestNonFullUnsigned);
1237 TEST_F(ConstantRangeTest, SMin) {
1238 EXPECT_EQ(Full.smin(Full), Full);
1239 EXPECT_EQ(Full.smin(Empty), Empty);
1240 EXPECT_EQ(Full.smin(Some),
1241 ConstantRange(APInt(16, (uint16_t)INT16_MIN), APInt(16, 0xaaa)));
1242 EXPECT_EQ(Full.smin(Wrap), Full);
1243 EXPECT_EQ(Empty.smin(Empty), Empty);
1244 EXPECT_EQ(Empty.smin(Some), Empty);
1245 EXPECT_EQ(Empty.smin(Wrap), Empty);
1246 EXPECT_EQ(Empty.smin(One), Empty);
1247 EXPECT_EQ(Some.smin(Some), Some);
1248 EXPECT_EQ(Some.smin(Wrap),
1249 ConstantRange(APInt(16, (uint16_t)INT16_MIN), APInt(16, 0xaaa)));
1250 EXPECT_EQ(Some.smin(One), One);
1251 EXPECT_EQ(Wrap.smin(Wrap), Wrap);
1252 EXPECT_EQ(Wrap.smin(One),
1253 ConstantRange(APInt(16, (uint16_t)INT16_MIN), APInt(16, 0xb)));
1254 EXPECT_EQ(One.smin(One), One);
1256 TestBinaryOpExhaustive(
1257 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1258 return CR1.smin(CR2);
1260 [](const APInt &N1, const APInt &N2) {
1261 return APIntOps::smin(N1, N2);
1263 PreferSmallestNonFullSigned);
1266 TEST_F(ConstantRangeTest, UDiv) {
1267 EXPECT_EQ(Full.udiv(Full), Full);
1268 EXPECT_EQ(Full.udiv(Empty), Empty);
1269 EXPECT_EQ(Full.udiv(One), ConstantRange(APInt(16, 0),
1270 APInt(16, 0xffff / 0xa + 1)));
1271 EXPECT_EQ(Full.udiv(Some), ConstantRange(APInt(16, 0),
1272 APInt(16, 0xffff / 0xa + 1)));
1273 EXPECT_EQ(Full.udiv(Wrap), Full);
1274 EXPECT_EQ(Empty.udiv(Empty), Empty);
1275 EXPECT_EQ(Empty.udiv(One), Empty);
1276 EXPECT_EQ(Empty.udiv(Some), Empty);
1277 EXPECT_EQ(Empty.udiv(Wrap), Empty);
1278 EXPECT_EQ(One.udiv(One), ConstantRange(APInt(16, 1)));
1279 EXPECT_EQ(One.udiv(Some), ConstantRange(APInt(16, 0), APInt(16, 2)));
1280 EXPECT_EQ(One.udiv(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xb)));
1281 EXPECT_EQ(Some.udiv(Some), ConstantRange(APInt(16, 0), APInt(16, 0x111)));
1282 EXPECT_EQ(Some.udiv(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xaaa)));
1283 EXPECT_EQ(Wrap.udiv(Wrap), Full);
1286 ConstantRange Zero(APInt(16, 0));
1287 EXPECT_EQ(Zero.udiv(One), Zero);
1288 EXPECT_EQ(Zero.udiv(Full), Zero);
1290 EXPECT_EQ(ConstantRange(APInt(16, 0), APInt(16, 99)).udiv(Full),
1291 ConstantRange(APInt(16, 0), APInt(16, 99)));
1292 EXPECT_EQ(ConstantRange(APInt(16, 10), APInt(16, 99)).udiv(Full),
1293 ConstantRange(APInt(16, 0), APInt(16, 99)));
1296 TEST_F(ConstantRangeTest, SDiv) {
1297 ConstantRange OneBit = ConstantRange::getFull(1);
1298 EXPECT_EQ(OneBit.sdiv(OneBit), ConstantRange(APInt(1, 0)));
1300 EnumerateTwoInterestingConstantRanges([&](const ConstantRange &CR1,
1301 const ConstantRange &CR2) {
1302 // Collect possible results in a bit vector. We store the signed value plus
1303 // a bias to make it unsigned.
1304 unsigned Bits = CR1.getBitWidth();
1305 int Bias = 1 << (Bits - 1);
1306 BitVector Results(1 << Bits);
1307 ForeachNumInConstantRange(CR1, [&](const APInt &N1) {
1308 ForeachNumInConstantRange(CR2, [&](const APInt &N2) {
1309 // Division by zero is UB.
1310 if (N2 == 0)
1311 return;
1313 // SignedMin / -1 is UB.
1314 if (N1.isMinSignedValue() && N2.isAllOnes())
1315 return;
1317 APInt N = N1.sdiv(N2);
1318 Results.set(N.getSExtValue() + Bias);
1322 ConstantRange CR = CR1.sdiv(CR2);
1323 if (Results.none()) {
1324 EXPECT_TRUE(CR.isEmptySet());
1325 return;
1328 // If there is a non-full signed envelope, that should be the result.
1329 APInt SMin(Bits, Results.find_first() - Bias, true);
1330 APInt SMax(Bits, Results.find_last() - Bias, true);
1331 ConstantRange Envelope = ConstantRange::getNonEmpty(SMin, SMax + 1);
1332 if (!Envelope.isFullSet()) {
1333 EXPECT_EQ(Envelope, CR);
1334 return;
1337 // If the signed envelope is a full set, try to find a smaller sign wrapped
1338 // set that is separated in negative and positive components (or one which
1339 // can also additionally contain zero).
1340 int LastNeg = Results.find_last_in(0, Bias) - Bias;
1341 int LastPos = Results.find_next(Bias) - Bias;
1342 if (Results[Bias]) {
1343 if (LastNeg == -1)
1344 ++LastNeg;
1345 else if (LastPos == 1)
1346 --LastPos;
1349 APInt WMax(Bits, LastNeg, true);
1350 APInt WMin(Bits, LastPos, true);
1351 ConstantRange Wrapped = ConstantRange::getNonEmpty(WMin, WMax + 1);
1352 EXPECT_EQ(Wrapped, CR);
1356 TEST_F(ConstantRangeTest, URem) {
1357 EXPECT_EQ(Full.urem(Empty), Empty);
1358 EXPECT_EQ(Empty.urem(Full), Empty);
1359 // urem by zero is poison.
1360 EXPECT_EQ(Full.urem(ConstantRange(APInt(16, 0))), Empty);
1361 // urem by full range doesn't contain MaxValue.
1362 EXPECT_EQ(Full.urem(Full), ConstantRange(APInt(16, 0), APInt(16, 0xffff)));
1363 // urem is upper bounded by maximum RHS minus one.
1364 EXPECT_EQ(Full.urem(ConstantRange(APInt(16, 0), APInt(16, 123))),
1365 ConstantRange(APInt(16, 0), APInt(16, 122)));
1366 // urem is upper bounded by maximum LHS.
1367 EXPECT_EQ(ConstantRange(APInt(16, 0), APInt(16, 123)).urem(Full),
1368 ConstantRange(APInt(16, 0), APInt(16, 123)));
1369 // If the LHS is always lower than the RHS, the result is the LHS.
1370 EXPECT_EQ(ConstantRange(APInt(16, 10), APInt(16, 20))
1371 .urem(ConstantRange(APInt(16, 20), APInt(16, 30))),
1372 ConstantRange(APInt(16, 10), APInt(16, 20)));
1373 // It has to be strictly lower, otherwise the top value may wrap to zero.
1374 EXPECT_EQ(ConstantRange(APInt(16, 10), APInt(16, 20))
1375 .urem(ConstantRange(APInt(16, 19), APInt(16, 30))),
1376 ConstantRange(APInt(16, 0), APInt(16, 20)));
1377 // [12, 14] % 10 is [2, 4], but we conservatively compute [0, 9].
1378 EXPECT_EQ(ConstantRange(APInt(16, 12), APInt(16, 15))
1379 .urem(ConstantRange(APInt(16, 10))),
1380 ConstantRange(APInt(16, 0), APInt(16, 10)));
1382 TestBinaryOpExhaustive(
1383 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1384 return CR1.urem(CR2);
1386 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1387 if (N2.isZero())
1388 return std::nullopt;
1389 return N1.urem(N2);
1391 PreferSmallest, CheckSingleElementsOnly);
1394 TEST_F(ConstantRangeTest, SRem) {
1395 EXPECT_EQ(Full.srem(Empty), Empty);
1396 EXPECT_EQ(Empty.srem(Full), Empty);
1397 // srem by zero is UB.
1398 EXPECT_EQ(Full.srem(ConstantRange(APInt(16, 0))), Empty);
1399 // srem by full range doesn't contain SignedMinValue.
1400 EXPECT_EQ(Full.srem(Full), ConstantRange(APInt::getSignedMinValue(16) + 1,
1401 APInt::getSignedMinValue(16)));
1403 ConstantRange PosMod(APInt(16, 10), APInt(16, 21)); // [10, 20]
1404 ConstantRange NegMod(APInt(16, -20, true), APInt(16, -9, true)); // [-20, -10]
1405 ConstantRange IntMinMod(APInt::getSignedMinValue(16));
1407 ConstantRange Expected(16, true);
1409 // srem is bounded by abs(RHS) minus one.
1410 ConstantRange PosLargeLHS(APInt(16, 0), APInt(16, 41));
1411 Expected = ConstantRange(APInt(16, 0), APInt(16, 20));
1412 EXPECT_EQ(PosLargeLHS.srem(PosMod), Expected);
1413 EXPECT_EQ(PosLargeLHS.srem(NegMod), Expected);
1414 ConstantRange NegLargeLHS(APInt(16, -40, true), APInt(16, 1));
1415 Expected = ConstantRange(APInt(16, -19, true), APInt(16, 1));
1416 EXPECT_EQ(NegLargeLHS.srem(PosMod), Expected);
1417 EXPECT_EQ(NegLargeLHS.srem(NegMod), Expected);
1418 ConstantRange PosNegLargeLHS(APInt(16, -32, true), APInt(16, 38));
1419 Expected = ConstantRange(APInt(16, -19, true), APInt(16, 20));
1420 EXPECT_EQ(PosNegLargeLHS.srem(PosMod), Expected);
1421 EXPECT_EQ(PosNegLargeLHS.srem(NegMod), Expected);
1423 // srem is bounded by LHS.
1424 ConstantRange PosLHS(APInt(16, 0), APInt(16, 16));
1425 EXPECT_EQ(PosLHS.srem(PosMod), PosLHS);
1426 EXPECT_EQ(PosLHS.srem(NegMod), PosLHS);
1427 EXPECT_EQ(PosLHS.srem(IntMinMod), PosLHS);
1428 ConstantRange NegLHS(APInt(16, -15, true), APInt(16, 1));
1429 EXPECT_EQ(NegLHS.srem(PosMod), NegLHS);
1430 EXPECT_EQ(NegLHS.srem(NegMod), NegLHS);
1431 EXPECT_EQ(NegLHS.srem(IntMinMod), NegLHS);
1432 ConstantRange PosNegLHS(APInt(16, -12, true), APInt(16, 18));
1433 EXPECT_EQ(PosNegLHS.srem(PosMod), PosNegLHS);
1434 EXPECT_EQ(PosNegLHS.srem(NegMod), PosNegLHS);
1435 EXPECT_EQ(PosNegLHS.srem(IntMinMod), PosNegLHS);
1437 // srem is LHS if it is smaller than RHS.
1438 ConstantRange PosSmallLHS(APInt(16, 3), APInt(16, 8));
1439 EXPECT_EQ(PosSmallLHS.srem(PosMod), PosSmallLHS);
1440 EXPECT_EQ(PosSmallLHS.srem(NegMod), PosSmallLHS);
1441 EXPECT_EQ(PosSmallLHS.srem(IntMinMod), PosSmallLHS);
1442 ConstantRange NegSmallLHS(APInt(16, -7, true), APInt(16, -2, true));
1443 EXPECT_EQ(NegSmallLHS.srem(PosMod), NegSmallLHS);
1444 EXPECT_EQ(NegSmallLHS.srem(NegMod), NegSmallLHS);
1445 EXPECT_EQ(NegSmallLHS.srem(IntMinMod), NegSmallLHS);
1446 ConstantRange PosNegSmallLHS(APInt(16, -3, true), APInt(16, 8));
1447 EXPECT_EQ(PosNegSmallLHS.srem(PosMod), PosNegSmallLHS);
1448 EXPECT_EQ(PosNegSmallLHS.srem(NegMod), PosNegSmallLHS);
1449 EXPECT_EQ(PosNegSmallLHS.srem(IntMinMod), PosNegSmallLHS);
1451 // Example of a suboptimal result:
1452 // [12, 14] srem 10 is [2, 4], but we conservatively compute [0, 9].
1453 EXPECT_EQ(ConstantRange(APInt(16, 12), APInt(16, 15))
1454 .srem(ConstantRange(APInt(16, 10))),
1455 ConstantRange(APInt(16, 0), APInt(16, 10)));
1457 TestBinaryOpExhaustive(
1458 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1459 return CR1.srem(CR2);
1461 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1462 if (N2.isZero())
1463 return std::nullopt;
1464 return N1.srem(N2);
1466 PreferSmallest, CheckSingleElementsOnly);
1469 TEST_F(ConstantRangeTest, Shl) {
1470 ConstantRange Some2(APInt(16, 0xfff), APInt(16, 0x8000));
1471 ConstantRange WrapNullMax(APInt(16, 0x1), APInt(16, 0x0));
1472 EXPECT_EQ(Full.shl(Full), Full);
1473 EXPECT_EQ(Full.shl(Empty), Empty);
1474 EXPECT_EQ(Full.shl(One), ConstantRange(APInt(16, 0),
1475 APInt(16, 0xfc00) + 1));
1476 EXPECT_EQ(Full.shl(Some), Full); // TODO: [0, (-1 << 0xa) + 1)
1477 EXPECT_EQ(Full.shl(Wrap), Full);
1478 EXPECT_EQ(Empty.shl(Empty), Empty);
1479 EXPECT_EQ(Empty.shl(One), Empty);
1480 EXPECT_EQ(Empty.shl(Some), Empty);
1481 EXPECT_EQ(Empty.shl(Wrap), Empty);
1482 EXPECT_EQ(One.shl(One), ConstantRange(APInt(16, 0xa << 0xa),
1483 APInt(16, (0xa << 0xa) + 1)));
1484 EXPECT_EQ(One.shl(Some), Full); // TODO: [0xa << 0xa, 0)
1485 EXPECT_EQ(One.shl(Wrap), Full); // TODO: [0xa, 0xa << 14 + 1)
1486 EXPECT_EQ(Some.shl(Some), Full); // TODO: [0xa << 0xa, 0xfc01)
1487 EXPECT_EQ(Some.shl(Wrap), Full); // TODO: [0xa, 0x7ff << 0x5 + 1)
1488 EXPECT_EQ(Wrap.shl(Wrap), Full);
1489 EXPECT_EQ(
1490 Some2.shl(ConstantRange(APInt(16, 0x1))),
1491 ConstantRange(APInt(16, 0xfff << 0x1), APInt(16, 0x7fff << 0x1) + 1));
1492 EXPECT_EQ(One.shl(WrapNullMax), Full);
1494 ConstantRange NegOne(APInt(16, 0xffff));
1495 EXPECT_EQ(NegOne.shl(ConstantRange(APInt(16, 0), APInt(16, 5))),
1496 ConstantRange(APInt(16, 0xfff0), APInt(16, 0)));
1497 EXPECT_EQ(ConstantRange(APInt(16, 0xfffe), APInt(16, 0))
1498 .shl(ConstantRange(APInt(16, 0), APInt(16, 5))),
1499 ConstantRange(APInt(16, 0xffe0), APInt(16, 0)));
1501 TestBinaryOpExhaustive(
1502 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1503 return CR1.shl(CR2);
1505 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1506 if (N2.uge(N2.getBitWidth()))
1507 return std::nullopt;
1508 return N1.shl(N2);
1510 PreferSmallestUnsigned,
1511 [](const ConstantRange &, const ConstantRange &CR2) {
1512 // We currently only produce precise results for single element RHS.
1513 return CR2.isSingleElement();
1517 TEST_F(ConstantRangeTest, ShlWithNoWrap) {
1518 using OBO = OverflowingBinaryOperator;
1519 TestBinaryOpExhaustive(
1520 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1521 ConstantRange Res = CR1.shlWithNoWrap(CR2, OBO::NoUnsignedWrap);
1522 EXPECT_TRUE(CR1.shl(CR2).contains(Res));
1523 return Res;
1525 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1526 bool IsOverflow;
1527 APInt Res = N1.ushl_ov(N2, IsOverflow);
1528 if (IsOverflow)
1529 return std::nullopt;
1530 return Res;
1532 PreferSmallest, CheckNonWrappedOnly);
1533 TestBinaryOpExhaustive(
1534 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1535 return CR1.shlWithNoWrap(CR2, OBO::NoSignedWrap);
1537 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1538 bool IsOverflow;
1539 APInt Res = N1.sshl_ov(N2, IsOverflow);
1540 if (IsOverflow)
1541 return std::nullopt;
1542 return Res;
1544 PreferSmallestSigned, CheckNoSignedWrappedLHSAndNoWrappedRHSOnly);
1545 TestBinaryOpExhaustive(
1546 [](const ConstantRange &CR1, const ConstantRange &CR2) {
1547 return CR1.shlWithNoWrap(CR2, OBO::NoUnsignedWrap | OBO::NoSignedWrap);
1549 [](const APInt &N1, const APInt &N2) -> std::optional<APInt> {
1550 bool IsOverflow1, IsOverflow2;
1551 APInt Res1 = N1.ushl_ov(N2, IsOverflow1);
1552 APInt Res2 = N1.sshl_ov(N2, IsOverflow2);
1553 if (IsOverflow1 || IsOverflow2)
1554 return std::nullopt;
1555 assert(Res1 == Res2 && "Left shift results differ?");
1556 return Res1;
1558 PreferSmallest, CheckCorrectnessOnly);
1560 EXPECT_EQ(One.shlWithNoWrap(Full, OBO::NoSignedWrap),
1561 ConstantRange(APInt(16, 10), APInt(16, 20481)));
1562 EXPECT_EQ(One.shlWithNoWrap(Full, OBO::NoUnsignedWrap),
1563 ConstantRange(APInt(16, 10), APInt(16, -24575, true)));
1564 EXPECT_EQ(One.shlWithNoWrap(Full, OBO::NoSignedWrap | OBO::NoUnsignedWrap),
1565 ConstantRange(APInt(16, 10), APInt(16, 20481)));
1566 ConstantRange NegOne(APInt(16, 0xffff));
1567 EXPECT_EQ(NegOne.shlWithNoWrap(Full, OBO::NoSignedWrap),
1568 ConstantRange(APInt(16, -32768, true), APInt(16, 0)));
1569 EXPECT_EQ(NegOne.shlWithNoWrap(Full, OBO::NoUnsignedWrap), NegOne);
1570 EXPECT_EQ(ConstantRange(APInt(16, 768))
1571 .shlWithNoWrap(Full, OBO::NoSignedWrap | OBO::NoUnsignedWrap),
1572 ConstantRange(APInt(16, 768), APInt(16, 24577)));
1573 EXPECT_EQ(Full.shlWithNoWrap(ConstantRange(APInt(16, 1), APInt(16, 16)),
1574 OBO::NoUnsignedWrap),
1575 ConstantRange(APInt(16, 0), APInt(16, -1, true)));
1576 EXPECT_EQ(ConstantRange(APInt(4, 3), APInt(4, -8, true))
1577 .shlWithNoWrap(ConstantRange(APInt(4, 0), APInt(4, 4)),
1578 OBO::NoSignedWrap),
1579 ConstantRange(APInt(4, 3), APInt(4, -8, true)));
1580 EXPECT_EQ(ConstantRange(APInt(4, -1, true), APInt(4, 0))
1581 .shlWithNoWrap(ConstantRange(APInt(4, 1), APInt(4, 4)),
1582 OBO::NoSignedWrap),
1583 ConstantRange(APInt(4, -8, true), APInt(4, -1, true)));
1586 TEST_F(ConstantRangeTest, Lshr) {
1587 EXPECT_EQ(Full.lshr(Full), Full);
1588 EXPECT_EQ(Full.lshr(Empty), Empty);
1589 EXPECT_EQ(Full.lshr(One), ConstantRange(APInt(16, 0),
1590 APInt(16, (0xffff >> 0xa) + 1)));
1591 EXPECT_EQ(Full.lshr(Some), ConstantRange(APInt(16, 0),
1592 APInt(16, (0xffff >> 0xa) + 1)));
1593 EXPECT_EQ(Full.lshr(Wrap), Full);
1594 EXPECT_EQ(Empty.lshr(Empty), Empty);
1595 EXPECT_EQ(Empty.lshr(One), Empty);
1596 EXPECT_EQ(Empty.lshr(Some), Empty);
1597 EXPECT_EQ(Empty.lshr(Wrap), Empty);
1598 EXPECT_EQ(One.lshr(One), ConstantRange(APInt(16, 0)));
1599 EXPECT_EQ(One.lshr(Some), ConstantRange(APInt(16, 0)));
1600 EXPECT_EQ(One.lshr(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xb)));
1601 EXPECT_EQ(Some.lshr(Some), ConstantRange(APInt(16, 0),
1602 APInt(16, (0xaaa >> 0xa) + 1)));
1603 EXPECT_EQ(Some.lshr(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xaaa)));
1604 EXPECT_EQ(Wrap.lshr(Wrap), Full);
1607 TEST_F(ConstantRangeTest, Ashr) {
1608 EXPECT_EQ(Full.ashr(Full), Full);
1609 EXPECT_EQ(Full.ashr(Empty), Empty);
1610 EXPECT_EQ(Full.ashr(One), ConstantRange(APInt(16, 0xffe0),
1611 APInt(16, (0x7fff >> 0xa) + 1 )));
1612 ConstantRange Small(APInt(16, 0xa), APInt(16, 0xb));
1613 EXPECT_EQ(Full.ashr(Small), ConstantRange(APInt(16, 0xffe0),
1614 APInt(16, (0x7fff >> 0xa) + 1 )));
1615 EXPECT_EQ(Full.ashr(Some), ConstantRange(APInt(16, 0xffe0),
1616 APInt(16, (0x7fff >> 0xa) + 1 )));
1617 EXPECT_EQ(Full.ashr(Wrap), Full);
1618 EXPECT_EQ(Empty.ashr(Empty), Empty);
1619 EXPECT_EQ(Empty.ashr(One), Empty);
1620 EXPECT_EQ(Empty.ashr(Some), Empty);
1621 EXPECT_EQ(Empty.ashr(Wrap), Empty);
1622 EXPECT_EQ(One.ashr(One), ConstantRange(APInt(16, 0)));
1623 EXPECT_EQ(One.ashr(Some), ConstantRange(APInt(16, 0)));
1624 EXPECT_EQ(One.ashr(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xb)));
1625 EXPECT_EQ(Some.ashr(Some), ConstantRange(APInt(16, 0),
1626 APInt(16, (0xaaa >> 0xa) + 1)));
1627 EXPECT_EQ(Some.ashr(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xaaa)));
1628 EXPECT_EQ(Wrap.ashr(Wrap), Full);
1629 ConstantRange Neg(APInt(16, 0xf3f0), APInt(16, 0xf7f8));
1630 EXPECT_EQ(Neg.ashr(Small),
1631 ConstantRange(APInt(16, 0xfffc), APInt(16, 0xfffe)));
1634 TEST(ConstantRange, MakeAllowedICmpRegion) {
1635 // PR8250
1636 ConstantRange SMax = ConstantRange(APInt::getSignedMaxValue(32));
1637 EXPECT_TRUE(ConstantRange::makeAllowedICmpRegion(ICmpInst::ICMP_SGT, SMax)
1638 .isEmptySet());
1641 TEST(ConstantRange, MakeSatisfyingICmpRegion) {
1642 ConstantRange LowHalf(APInt(8, 0), APInt(8, 128));
1643 ConstantRange HighHalf(APInt(8, 128), APInt(8, 0));
1644 ConstantRange EmptySet(8, /* isFullSet = */ false);
1646 EXPECT_EQ(ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_NE, LowHalf),
1647 HighHalf);
1649 EXPECT_EQ(
1650 ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_NE, HighHalf),
1651 LowHalf);
1653 EXPECT_TRUE(ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_EQ,
1654 HighHalf).isEmptySet());
1656 ConstantRange UnsignedSample(APInt(8, 5), APInt(8, 200));
1658 EXPECT_EQ(ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_ULT,
1659 UnsignedSample),
1660 ConstantRange(APInt(8, 0), APInt(8, 5)));
1662 EXPECT_EQ(ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_ULE,
1663 UnsignedSample),
1664 ConstantRange(APInt(8, 0), APInt(8, 6)));
1666 EXPECT_EQ(ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_UGT,
1667 UnsignedSample),
1668 ConstantRange(APInt(8, 200), APInt(8, 0)));
1670 EXPECT_EQ(ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_UGE,
1671 UnsignedSample),
1672 ConstantRange(APInt(8, 199), APInt(8, 0)));
1674 ConstantRange SignedSample(APInt(8, -5, true), APInt(8, 5));
1676 EXPECT_EQ(
1677 ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_SLT, SignedSample),
1678 ConstantRange(APInt(8, -128, true), APInt(8, -5, true)));
1680 EXPECT_EQ(
1681 ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_SLE, SignedSample),
1682 ConstantRange(APInt(8, -128, true), APInt(8, -4, true)));
1684 EXPECT_EQ(
1685 ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_SGT, SignedSample),
1686 ConstantRange(APInt(8, 5), APInt(8, -128, true)));
1688 EXPECT_EQ(
1689 ConstantRange::makeSatisfyingICmpRegion(ICmpInst::ICMP_SGE, SignedSample),
1690 ConstantRange(APInt(8, 4), APInt(8, -128, true)));
1693 void ICmpTestImpl(CmpInst::Predicate Pred) {
1694 EnumerateTwoInterestingConstantRanges(
1695 [&](const ConstantRange &CR1, const ConstantRange &CR2) {
1696 bool Exhaustive = true;
1697 ForeachNumInConstantRange(CR1, [&](const APInt &N1) {
1698 ForeachNumInConstantRange(CR2, [&](const APInt &N2) {
1699 Exhaustive &= ICmpInst::compare(N1, N2, Pred);
1702 EXPECT_EQ(CR1.icmp(Pred, CR2), Exhaustive);
1706 TEST(ConstantRange, ICmp) {
1707 for (auto Pred : ICmpInst::predicates())
1708 ICmpTestImpl(Pred);
1711 TEST(ConstantRange, MakeGuaranteedNoWrapRegion) {
1712 const int IntMin4Bits = -8;
1713 const int IntMax4Bits = 7;
1714 typedef OverflowingBinaryOperator OBO;
1716 for (int Const : {0, -1, -2, 1, 2, IntMin4Bits, IntMax4Bits}) {
1717 APInt C(4, Const, true /* = isSigned */);
1719 auto NUWRegion = ConstantRange::makeGuaranteedNoWrapRegion(
1720 Instruction::Add, C, OBO::NoUnsignedWrap);
1722 EXPECT_FALSE(NUWRegion.isEmptySet());
1724 auto NSWRegion = ConstantRange::makeGuaranteedNoWrapRegion(
1725 Instruction::Add, C, OBO::NoSignedWrap);
1727 EXPECT_FALSE(NSWRegion.isEmptySet());
1729 for (APInt I = NUWRegion.getLower(), E = NUWRegion.getUpper(); I != E;
1730 ++I) {
1731 bool Overflow = false;
1732 (void)I.uadd_ov(C, Overflow);
1733 EXPECT_FALSE(Overflow);
1736 for (APInt I = NSWRegion.getLower(), E = NSWRegion.getUpper(); I != E;
1737 ++I) {
1738 bool Overflow = false;
1739 (void)I.sadd_ov(C, Overflow);
1740 EXPECT_FALSE(Overflow);
1744 for (int Const : {0, -1, -2, 1, 2, IntMin4Bits, IntMax4Bits}) {
1745 APInt C(4, Const, true /* = isSigned */);
1747 auto NUWRegion = ConstantRange::makeGuaranteedNoWrapRegion(
1748 Instruction::Sub, C, OBO::NoUnsignedWrap);
1750 EXPECT_FALSE(NUWRegion.isEmptySet());
1752 auto NSWRegion = ConstantRange::makeGuaranteedNoWrapRegion(
1753 Instruction::Sub, C, OBO::NoSignedWrap);
1755 EXPECT_FALSE(NSWRegion.isEmptySet());
1757 for (APInt I = NUWRegion.getLower(), E = NUWRegion.getUpper(); I != E;
1758 ++I) {
1759 bool Overflow = false;
1760 (void)I.usub_ov(C, Overflow);
1761 EXPECT_FALSE(Overflow);
1764 for (APInt I = NSWRegion.getLower(), E = NSWRegion.getUpper(); I != E;
1765 ++I) {
1766 bool Overflow = false;
1767 (void)I.ssub_ov(C, Overflow);
1768 EXPECT_FALSE(Overflow);
1772 auto NSWForAllValues = ConstantRange::makeGuaranteedNoWrapRegion(
1773 Instruction::Add, ConstantRange(32, /* isFullSet = */ true),
1774 OBO::NoSignedWrap);
1775 EXPECT_TRUE(NSWForAllValues.isSingleElement() &&
1776 NSWForAllValues.getSingleElement()->isMinValue());
1778 NSWForAllValues = ConstantRange::makeGuaranteedNoWrapRegion(
1779 Instruction::Sub, ConstantRange(32, /* isFullSet = */ true),
1780 OBO::NoSignedWrap);
1781 EXPECT_TRUE(NSWForAllValues.isSingleElement() &&
1782 NSWForAllValues.getSingleElement()->isMaxValue());
1784 auto NUWForAllValues = ConstantRange::makeGuaranteedNoWrapRegion(
1785 Instruction::Add, ConstantRange(32, /* isFullSet = */ true),
1786 OBO::NoUnsignedWrap);
1787 EXPECT_TRUE(NUWForAllValues.isSingleElement() &&
1788 NUWForAllValues.getSingleElement()->isMinValue());
1790 NUWForAllValues = ConstantRange::makeGuaranteedNoWrapRegion(
1791 Instruction::Sub, ConstantRange(32, /* isFullSet = */ true),
1792 OBO::NoUnsignedWrap);
1793 EXPECT_TRUE(NUWForAllValues.isSingleElement() &&
1794 NUWForAllValues.getSingleElement()->isMaxValue());
1796 EXPECT_TRUE(ConstantRange::makeGuaranteedNoWrapRegion(
1797 Instruction::Add, APInt(32, 0), OBO::NoUnsignedWrap).isFullSet());
1798 EXPECT_TRUE(ConstantRange::makeGuaranteedNoWrapRegion(
1799 Instruction::Add, APInt(32, 0), OBO::NoSignedWrap).isFullSet());
1800 EXPECT_TRUE(ConstantRange::makeGuaranteedNoWrapRegion(
1801 Instruction::Sub, APInt(32, 0), OBO::NoUnsignedWrap).isFullSet());
1802 EXPECT_TRUE(ConstantRange::makeGuaranteedNoWrapRegion(
1803 Instruction::Sub, APInt(32, 0), OBO::NoSignedWrap).isFullSet());
1805 ConstantRange OneToFive(APInt(32, 1), APInt(32, 6));
1806 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1807 Instruction::Add, OneToFive, OBO::NoSignedWrap),
1808 ConstantRange(APInt::getSignedMinValue(32),
1809 APInt::getSignedMaxValue(32) - 4));
1810 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1811 Instruction::Add, OneToFive, OBO::NoUnsignedWrap),
1812 ConstantRange(APInt::getMinValue(32), APInt::getMinValue(32) - 5));
1813 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1814 Instruction::Sub, OneToFive, OBO::NoSignedWrap),
1815 ConstantRange(APInt::getSignedMinValue(32) + 5,
1816 APInt::getSignedMinValue(32)));
1817 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1818 Instruction::Sub, OneToFive, OBO::NoUnsignedWrap),
1819 ConstantRange(APInt::getMinValue(32) + 5, APInt::getMinValue(32)));
1821 ConstantRange MinusFiveToMinusTwo(APInt(32, -5, true), APInt(32, -1, true));
1822 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1823 Instruction::Add, MinusFiveToMinusTwo, OBO::NoSignedWrap),
1824 ConstantRange(APInt::getSignedMinValue(32) + 5,
1825 APInt::getSignedMinValue(32)));
1826 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1827 Instruction::Add, MinusFiveToMinusTwo, OBO::NoUnsignedWrap),
1828 ConstantRange(APInt(32, 0), APInt(32, 2)));
1829 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1830 Instruction::Sub, MinusFiveToMinusTwo, OBO::NoSignedWrap),
1831 ConstantRange(APInt::getSignedMinValue(32),
1832 APInt::getSignedMaxValue(32) - 4));
1833 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1834 Instruction::Sub, MinusFiveToMinusTwo, OBO::NoUnsignedWrap),
1835 ConstantRange(APInt::getMaxValue(32) - 1, APInt::getMinValue(32)));
1837 ConstantRange MinusOneToOne(APInt(32, -1, true), APInt(32, 2));
1838 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1839 Instruction::Add, MinusOneToOne, OBO::NoSignedWrap),
1840 ConstantRange(APInt::getSignedMinValue(32) + 1,
1841 APInt::getSignedMinValue(32) - 1));
1842 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1843 Instruction::Add, MinusOneToOne, OBO::NoUnsignedWrap),
1844 ConstantRange(APInt(32, 0), APInt(32, 1)));
1845 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1846 Instruction::Sub, MinusOneToOne, OBO::NoSignedWrap),
1847 ConstantRange(APInt::getSignedMinValue(32) + 1,
1848 APInt::getSignedMinValue(32) - 1));
1849 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1850 Instruction::Sub, MinusOneToOne, OBO::NoUnsignedWrap),
1851 ConstantRange(APInt::getMaxValue(32),
1852 APInt::getMinValue(32)));
1854 ConstantRange One(APInt(32, 1), APInt(32, 2));
1855 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1856 Instruction::Add, One, OBO::NoSignedWrap),
1857 ConstantRange(APInt::getSignedMinValue(32),
1858 APInt::getSignedMaxValue(32)));
1859 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1860 Instruction::Add, One, OBO::NoUnsignedWrap),
1861 ConstantRange(APInt::getMinValue(32), APInt::getMaxValue(32)));
1862 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1863 Instruction::Sub, One, OBO::NoSignedWrap),
1864 ConstantRange(APInt::getSignedMinValue(32) + 1,
1865 APInt::getSignedMinValue(32)));
1866 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1867 Instruction::Sub, One, OBO::NoUnsignedWrap),
1868 ConstantRange(APInt::getMinValue(32) + 1, APInt::getMinValue(32)));
1870 ConstantRange OneLessThanBitWidth(APInt(32, 0), APInt(32, 31) + 1);
1871 ConstantRange UpToBitWidth(APInt(32, 0), APInt(32, 32) + 1);
1872 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1873 Instruction::Shl, UpToBitWidth, OBO::NoUnsignedWrap),
1874 ConstantRange::makeGuaranteedNoWrapRegion(
1875 Instruction::Shl, OneLessThanBitWidth, OBO::NoUnsignedWrap));
1876 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1877 Instruction::Shl, UpToBitWidth, OBO::NoSignedWrap),
1878 ConstantRange::makeGuaranteedNoWrapRegion(
1879 Instruction::Shl, OneLessThanBitWidth, OBO::NoSignedWrap));
1880 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1881 Instruction::Shl, UpToBitWidth, OBO::NoUnsignedWrap),
1882 ConstantRange(APInt(32, 0), APInt(32, 1) + 1));
1883 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1884 Instruction::Shl, UpToBitWidth, OBO::NoSignedWrap),
1885 ConstantRange(APInt(32, -1, true), APInt(32, 0) + 1));
1887 EXPECT_EQ(
1888 ConstantRange::makeGuaranteedNoWrapRegion(
1889 Instruction::Shl, ConstantRange::getFull(32), OBO::NoUnsignedWrap),
1890 ConstantRange::makeGuaranteedNoWrapRegion(
1891 Instruction::Shl, OneLessThanBitWidth, OBO::NoUnsignedWrap));
1892 EXPECT_EQ(
1893 ConstantRange::makeGuaranteedNoWrapRegion(
1894 Instruction::Shl, ConstantRange::getFull(32), OBO::NoSignedWrap),
1895 ConstantRange::makeGuaranteedNoWrapRegion(
1896 Instruction::Shl, OneLessThanBitWidth, OBO::NoSignedWrap));
1898 ConstantRange IllegalShAmt(APInt(32, 32), APInt(32, 0) + 1);
1899 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1900 Instruction::Shl, IllegalShAmt, OBO::NoUnsignedWrap),
1901 ConstantRange::getFull(32));
1902 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1903 Instruction::Shl, IllegalShAmt, OBO::NoSignedWrap),
1904 ConstantRange::getFull(32));
1906 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1907 Instruction::Shl,
1908 ConstantRange(APInt(32, -32, true), APInt(32, 16) + 1),
1909 OBO::NoUnsignedWrap),
1910 ConstantRange::makeGuaranteedNoWrapRegion(
1911 Instruction::Shl,
1912 ConstantRange(APInt(32, 0), APInt(32, 16) + 1),
1913 OBO::NoUnsignedWrap));
1914 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1915 Instruction::Shl,
1916 ConstantRange(APInt(32, -32, true), APInt(32, 16) + 1),
1917 OBO::NoSignedWrap),
1918 ConstantRange::makeGuaranteedNoWrapRegion(
1919 Instruction::Shl,
1920 ConstantRange(APInt(32, 0), APInt(32, 16) + 1),
1921 OBO::NoSignedWrap));
1923 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1924 Instruction::Shl,
1925 ConstantRange(APInt(32, -32, true), APInt(32, 16) + 1),
1926 OBO::NoUnsignedWrap),
1927 ConstantRange(APInt(32, 0), APInt(32, 65535) + 1));
1928 EXPECT_EQ(ConstantRange::makeGuaranteedNoWrapRegion(
1929 Instruction::Shl,
1930 ConstantRange(APInt(32, -32, true), APInt(32, 16) + 1),
1931 OBO::NoSignedWrap),
1932 ConstantRange(APInt(32, -32768, true), APInt(32, 32767) + 1));
1935 template <typename Fn>
1936 void TestNoWrapRegionExhaustive(Instruction::BinaryOps BinOp,
1937 unsigned NoWrapKind, Fn OverflowFn) {
1938 for (unsigned Bits : {1, 5}) {
1939 EnumerateConstantRanges(Bits, [&](const ConstantRange &CR) {
1940 if (CR.isEmptySet())
1941 return;
1942 if (Instruction::isShift(BinOp) && CR.getUnsignedMax().uge(Bits))
1943 return;
1945 ConstantRange NoWrap =
1946 ConstantRange::makeGuaranteedNoWrapRegion(BinOp, CR, NoWrapKind);
1947 EnumerateAPInts(Bits, [&](const APInt &N1) {
1948 bool NoOverflow = true;
1949 bool Overflow = true;
1950 ForeachNumInConstantRange(CR, [&](const APInt &N2) {
1951 if (OverflowFn(N1, N2))
1952 NoOverflow = false;
1953 else
1954 Overflow = false;
1956 EXPECT_EQ(NoOverflow, NoWrap.contains(N1));
1958 // The no-wrap range is exact for single-element ranges.
1959 if (CR.isSingleElement()) {
1960 EXPECT_EQ(Overflow, !NoWrap.contains(N1));
1967 // Show that makeGuaranteedNoWrapRegion() is maximal, and for single-element
1968 // ranges also exact.
1969 TEST(ConstantRange, NoWrapRegionExhaustive) {
1970 TestNoWrapRegionExhaustive(
1971 Instruction::Add, OverflowingBinaryOperator::NoUnsignedWrap,
1972 [](const APInt &N1, const APInt &N2) {
1973 bool Overflow;
1974 (void) N1.uadd_ov(N2, Overflow);
1975 return Overflow;
1977 TestNoWrapRegionExhaustive(
1978 Instruction::Add, OverflowingBinaryOperator::NoSignedWrap,
1979 [](const APInt &N1, const APInt &N2) {
1980 bool Overflow;
1981 (void) N1.sadd_ov(N2, Overflow);
1982 return Overflow;
1984 TestNoWrapRegionExhaustive(
1985 Instruction::Sub, OverflowingBinaryOperator::NoUnsignedWrap,
1986 [](const APInt &N1, const APInt &N2) {
1987 bool Overflow;
1988 (void) N1.usub_ov(N2, Overflow);
1989 return Overflow;
1991 TestNoWrapRegionExhaustive(
1992 Instruction::Sub, OverflowingBinaryOperator::NoSignedWrap,
1993 [](const APInt &N1, const APInt &N2) {
1994 bool Overflow;
1995 (void) N1.ssub_ov(N2, Overflow);
1996 return Overflow;
1998 TestNoWrapRegionExhaustive(
1999 Instruction::Mul, OverflowingBinaryOperator::NoUnsignedWrap,
2000 [](const APInt &N1, const APInt &N2) {
2001 bool Overflow;
2002 (void) N1.umul_ov(N2, Overflow);
2003 return Overflow;
2005 TestNoWrapRegionExhaustive(
2006 Instruction::Mul, OverflowingBinaryOperator::NoSignedWrap,
2007 [](const APInt &N1, const APInt &N2) {
2008 bool Overflow;
2009 (void) N1.smul_ov(N2, Overflow);
2010 return Overflow;
2012 TestNoWrapRegionExhaustive(Instruction::Shl,
2013 OverflowingBinaryOperator::NoUnsignedWrap,
2014 [](const APInt &N1, const APInt &N2) {
2015 bool Overflow;
2016 (void)N1.ushl_ov(N2, Overflow);
2017 return Overflow;
2019 TestNoWrapRegionExhaustive(Instruction::Shl,
2020 OverflowingBinaryOperator::NoSignedWrap,
2021 [](const APInt &N1, const APInt &N2) {
2022 bool Overflow;
2023 (void)N1.sshl_ov(N2, Overflow);
2024 return Overflow;
2028 TEST(ConstantRange, GetEquivalentICmp) {
2029 APInt RHS;
2030 CmpInst::Predicate Pred;
2032 EXPECT_TRUE(ConstantRange(APInt::getMinValue(32), APInt(32, 100))
2033 .getEquivalentICmp(Pred, RHS));
2034 EXPECT_EQ(Pred, CmpInst::ICMP_ULT);
2035 EXPECT_EQ(RHS, APInt(32, 100));
2037 EXPECT_TRUE(ConstantRange(APInt::getSignedMinValue(32), APInt(32, 100))
2038 .getEquivalentICmp(Pred, RHS));
2039 EXPECT_EQ(Pred, CmpInst::ICMP_SLT);
2040 EXPECT_EQ(RHS, APInt(32, 100));
2042 EXPECT_TRUE(ConstantRange(APInt(32, 100), APInt::getMinValue(32))
2043 .getEquivalentICmp(Pred, RHS));
2044 EXPECT_EQ(Pred, CmpInst::ICMP_UGE);
2045 EXPECT_EQ(RHS, APInt(32, 100));
2047 EXPECT_TRUE(ConstantRange(APInt(32, 100), APInt::getSignedMinValue(32))
2048 .getEquivalentICmp(Pred, RHS));
2049 EXPECT_EQ(Pred, CmpInst::ICMP_SGE);
2050 EXPECT_EQ(RHS, APInt(32, 100));
2052 EXPECT_TRUE(
2053 ConstantRange(32, /*isFullSet=*/true).getEquivalentICmp(Pred, RHS));
2054 EXPECT_EQ(Pred, CmpInst::ICMP_UGE);
2055 EXPECT_EQ(RHS, APInt(32, 0));
2057 EXPECT_TRUE(
2058 ConstantRange(32, /*isFullSet=*/false).getEquivalentICmp(Pred, RHS));
2059 EXPECT_EQ(Pred, CmpInst::ICMP_ULT);
2060 EXPECT_EQ(RHS, APInt(32, 0));
2062 EXPECT_FALSE(ConstantRange(APInt(32, 100), APInt(32, 200))
2063 .getEquivalentICmp(Pred, RHS));
2065 EXPECT_FALSE(ConstantRange(APInt::getSignedMinValue(32) - APInt(32, 100),
2066 APInt::getSignedMinValue(32) + APInt(32, 100))
2067 .getEquivalentICmp(Pred, RHS));
2069 EXPECT_FALSE(ConstantRange(APInt::getMinValue(32) - APInt(32, 100),
2070 APInt::getMinValue(32) + APInt(32, 100))
2071 .getEquivalentICmp(Pred, RHS));
2073 EXPECT_TRUE(ConstantRange(APInt(32, 100)).getEquivalentICmp(Pred, RHS));
2074 EXPECT_EQ(Pred, CmpInst::ICMP_EQ);
2075 EXPECT_EQ(RHS, APInt(32, 100));
2077 EXPECT_TRUE(
2078 ConstantRange(APInt(32, 100)).inverse().getEquivalentICmp(Pred, RHS));
2079 EXPECT_EQ(Pred, CmpInst::ICMP_NE);
2080 EXPECT_EQ(RHS, APInt(32, 100));
2082 EXPECT_TRUE(
2083 ConstantRange(APInt(512, 100)).inverse().getEquivalentICmp(Pred, RHS));
2084 EXPECT_EQ(Pred, CmpInst::ICMP_NE);
2085 EXPECT_EQ(RHS, APInt(512, 100));
2087 // NB! It would be correct for the following four calls to getEquivalentICmp
2088 // to return ordered predicates like CmpInst::ICMP_ULT or CmpInst::ICMP_UGT.
2089 // However, that's not the case today.
2091 EXPECT_TRUE(ConstantRange(APInt(32, 0)).getEquivalentICmp(Pred, RHS));
2092 EXPECT_EQ(Pred, CmpInst::ICMP_EQ);
2093 EXPECT_EQ(RHS, APInt(32, 0));
2095 EXPECT_TRUE(
2096 ConstantRange(APInt(32, 0)).inverse().getEquivalentICmp(Pred, RHS));
2097 EXPECT_EQ(Pred, CmpInst::ICMP_NE);
2098 EXPECT_EQ(RHS, APInt(32, 0));
2100 EXPECT_TRUE(ConstantRange(APInt(32, -1, true)).getEquivalentICmp(Pred, RHS));
2101 EXPECT_EQ(Pred, CmpInst::ICMP_EQ);
2102 EXPECT_EQ(RHS, APInt(32, -1, true));
2104 EXPECT_TRUE(ConstantRange(APInt(32, -1, true))
2105 .inverse()
2106 .getEquivalentICmp(Pred, RHS));
2107 EXPECT_EQ(Pred, CmpInst::ICMP_NE);
2108 EXPECT_EQ(RHS, APInt(32, -1, true));
2110 EnumerateInterestingConstantRanges([](const ConstantRange &CR) {
2111 unsigned Bits = CR.getBitWidth();
2112 CmpInst::Predicate Pred;
2113 APInt RHS, Offset;
2114 CR.getEquivalentICmp(Pred, RHS, Offset);
2115 EnumerateAPInts(Bits, [&](const APInt &N) {
2116 bool Result = ICmpInst::compare(N + Offset, RHS, Pred);
2117 EXPECT_EQ(CR.contains(N), Result);
2120 if (CR.getEquivalentICmp(Pred, RHS)) {
2121 EnumerateAPInts(Bits, [&](const APInt &N) {
2122 bool Result = ICmpInst::compare(N, RHS, Pred);
2123 EXPECT_EQ(CR.contains(N), Result);
2129 #define EXPECT_MAY_OVERFLOW(op) \
2130 EXPECT_EQ(ConstantRange::OverflowResult::MayOverflow, (op))
2131 #define EXPECT_ALWAYS_OVERFLOWS_LOW(op) \
2132 EXPECT_EQ(ConstantRange::OverflowResult::AlwaysOverflowsLow, (op))
2133 #define EXPECT_ALWAYS_OVERFLOWS_HIGH(op) \
2134 EXPECT_EQ(ConstantRange::OverflowResult::AlwaysOverflowsHigh, (op))
2135 #define EXPECT_NEVER_OVERFLOWS(op) \
2136 EXPECT_EQ(ConstantRange::OverflowResult::NeverOverflows, (op))
2138 TEST_F(ConstantRangeTest, UnsignedAddOverflow) {
2139 // Ill-defined - may overflow is a conservative result.
2140 EXPECT_MAY_OVERFLOW(Some.unsignedAddMayOverflow(Empty));
2141 EXPECT_MAY_OVERFLOW(Empty.unsignedAddMayOverflow(Some));
2143 // Never overflow despite one full/wrap set.
2144 ConstantRange Zero(APInt::getZero(16));
2145 EXPECT_NEVER_OVERFLOWS(Full.unsignedAddMayOverflow(Zero));
2146 EXPECT_NEVER_OVERFLOWS(Wrap.unsignedAddMayOverflow(Zero));
2147 EXPECT_NEVER_OVERFLOWS(Zero.unsignedAddMayOverflow(Full));
2148 EXPECT_NEVER_OVERFLOWS(Zero.unsignedAddMayOverflow(Wrap));
2150 // But usually full/wrap always may overflow.
2151 EXPECT_MAY_OVERFLOW(Full.unsignedAddMayOverflow(One));
2152 EXPECT_MAY_OVERFLOW(Wrap.unsignedAddMayOverflow(One));
2153 EXPECT_MAY_OVERFLOW(One.unsignedAddMayOverflow(Full));
2154 EXPECT_MAY_OVERFLOW(One.unsignedAddMayOverflow(Wrap));
2156 ConstantRange A(APInt(16, 0xfd00), APInt(16, 0xfe00));
2157 ConstantRange B1(APInt(16, 0x0100), APInt(16, 0x0201));
2158 ConstantRange B2(APInt(16, 0x0100), APInt(16, 0x0202));
2159 EXPECT_NEVER_OVERFLOWS(A.unsignedAddMayOverflow(B1));
2160 EXPECT_MAY_OVERFLOW(A.unsignedAddMayOverflow(B2));
2161 EXPECT_NEVER_OVERFLOWS(B1.unsignedAddMayOverflow(A));
2162 EXPECT_MAY_OVERFLOW(B2.unsignedAddMayOverflow(A));
2164 ConstantRange C1(APInt(16, 0x0299), APInt(16, 0x0400));
2165 ConstantRange C2(APInt(16, 0x0300), APInt(16, 0x0400));
2166 EXPECT_MAY_OVERFLOW(A.unsignedAddMayOverflow(C1));
2167 EXPECT_ALWAYS_OVERFLOWS_HIGH(A.unsignedAddMayOverflow(C2));
2168 EXPECT_MAY_OVERFLOW(C1.unsignedAddMayOverflow(A));
2169 EXPECT_ALWAYS_OVERFLOWS_HIGH(C2.unsignedAddMayOverflow(A));
2172 TEST_F(ConstantRangeTest, UnsignedSubOverflow) {
2173 // Ill-defined - may overflow is a conservative result.
2174 EXPECT_MAY_OVERFLOW(Some.unsignedSubMayOverflow(Empty));
2175 EXPECT_MAY_OVERFLOW(Empty.unsignedSubMayOverflow(Some));
2177 // Never overflow despite one full/wrap set.
2178 ConstantRange Zero(APInt::getZero(16));
2179 ConstantRange Max(APInt::getAllOnes(16));
2180 EXPECT_NEVER_OVERFLOWS(Full.unsignedSubMayOverflow(Zero));
2181 EXPECT_NEVER_OVERFLOWS(Wrap.unsignedSubMayOverflow(Zero));
2182 EXPECT_NEVER_OVERFLOWS(Max.unsignedSubMayOverflow(Full));
2183 EXPECT_NEVER_OVERFLOWS(Max.unsignedSubMayOverflow(Wrap));
2185 // But usually full/wrap always may overflow.
2186 EXPECT_MAY_OVERFLOW(Full.unsignedSubMayOverflow(One));
2187 EXPECT_MAY_OVERFLOW(Wrap.unsignedSubMayOverflow(One));
2188 EXPECT_MAY_OVERFLOW(One.unsignedSubMayOverflow(Full));
2189 EXPECT_MAY_OVERFLOW(One.unsignedSubMayOverflow(Wrap));
2191 ConstantRange A(APInt(16, 0x0000), APInt(16, 0x0100));
2192 ConstantRange B(APInt(16, 0x0100), APInt(16, 0x0200));
2193 EXPECT_NEVER_OVERFLOWS(B.unsignedSubMayOverflow(A));
2194 EXPECT_ALWAYS_OVERFLOWS_LOW(A.unsignedSubMayOverflow(B));
2196 ConstantRange A1(APInt(16, 0x0000), APInt(16, 0x0101));
2197 ConstantRange B1(APInt(16, 0x0100), APInt(16, 0x0201));
2198 EXPECT_NEVER_OVERFLOWS(B1.unsignedSubMayOverflow(A1));
2199 EXPECT_MAY_OVERFLOW(A1.unsignedSubMayOverflow(B1));
2201 ConstantRange A2(APInt(16, 0x0000), APInt(16, 0x0102));
2202 ConstantRange B2(APInt(16, 0x0100), APInt(16, 0x0202));
2203 EXPECT_MAY_OVERFLOW(B2.unsignedSubMayOverflow(A2));
2204 EXPECT_MAY_OVERFLOW(A2.unsignedSubMayOverflow(B2));
2207 TEST_F(ConstantRangeTest, SignedAddOverflow) {
2208 // Ill-defined - may overflow is a conservative result.
2209 EXPECT_MAY_OVERFLOW(Some.signedAddMayOverflow(Empty));
2210 EXPECT_MAY_OVERFLOW(Empty.signedAddMayOverflow(Some));
2212 // Never overflow despite one full/wrap set.
2213 ConstantRange Zero(APInt::getZero(16));
2214 EXPECT_NEVER_OVERFLOWS(Full.signedAddMayOverflow(Zero));
2215 EXPECT_NEVER_OVERFLOWS(Wrap.signedAddMayOverflow(Zero));
2216 EXPECT_NEVER_OVERFLOWS(Zero.signedAddMayOverflow(Full));
2217 EXPECT_NEVER_OVERFLOWS(Zero.signedAddMayOverflow(Wrap));
2219 // But usually full/wrap always may overflow.
2220 EXPECT_MAY_OVERFLOW(Full.signedAddMayOverflow(One));
2221 EXPECT_MAY_OVERFLOW(Wrap.signedAddMayOverflow(One));
2222 EXPECT_MAY_OVERFLOW(One.signedAddMayOverflow(Full));
2223 EXPECT_MAY_OVERFLOW(One.signedAddMayOverflow(Wrap));
2225 ConstantRange A(APInt(16, 0x7d00), APInt(16, 0x7e00));
2226 ConstantRange B1(APInt(16, 0x0100), APInt(16, 0x0201));
2227 ConstantRange B2(APInt(16, 0x0100), APInt(16, 0x0202));
2228 EXPECT_NEVER_OVERFLOWS(A.signedAddMayOverflow(B1));
2229 EXPECT_MAY_OVERFLOW(A.signedAddMayOverflow(B2));
2230 ConstantRange B3(APInt(16, 0x8000), APInt(16, 0x0201));
2231 ConstantRange B4(APInt(16, 0x8000), APInt(16, 0x0202));
2232 EXPECT_NEVER_OVERFLOWS(A.signedAddMayOverflow(B3));
2233 EXPECT_MAY_OVERFLOW(A.signedAddMayOverflow(B4));
2234 ConstantRange B5(APInt(16, 0x0299), APInt(16, 0x0400));
2235 ConstantRange B6(APInt(16, 0x0300), APInt(16, 0x0400));
2236 EXPECT_MAY_OVERFLOW(A.signedAddMayOverflow(B5));
2237 EXPECT_ALWAYS_OVERFLOWS_HIGH(A.signedAddMayOverflow(B6));
2239 ConstantRange C(APInt(16, 0x8200), APInt(16, 0x8300));
2240 ConstantRange D1(APInt(16, 0xfe00), APInt(16, 0xff00));
2241 ConstantRange D2(APInt(16, 0xfd99), APInt(16, 0xff00));
2242 EXPECT_NEVER_OVERFLOWS(C.signedAddMayOverflow(D1));
2243 EXPECT_MAY_OVERFLOW(C.signedAddMayOverflow(D2));
2244 ConstantRange D3(APInt(16, 0xfe00), APInt(16, 0x8000));
2245 ConstantRange D4(APInt(16, 0xfd99), APInt(16, 0x8000));
2246 EXPECT_NEVER_OVERFLOWS(C.signedAddMayOverflow(D3));
2247 EXPECT_MAY_OVERFLOW(C.signedAddMayOverflow(D4));
2248 ConstantRange D5(APInt(16, 0xfc00), APInt(16, 0xfd02));
2249 ConstantRange D6(APInt(16, 0xfc00), APInt(16, 0xfd01));
2250 EXPECT_MAY_OVERFLOW(C.signedAddMayOverflow(D5));
2251 EXPECT_ALWAYS_OVERFLOWS_LOW(C.signedAddMayOverflow(D6));
2253 ConstantRange E(APInt(16, 0xff00), APInt(16, 0x0100));
2254 EXPECT_NEVER_OVERFLOWS(E.signedAddMayOverflow(E));
2255 ConstantRange F(APInt(16, 0xf000), APInt(16, 0x7000));
2256 EXPECT_MAY_OVERFLOW(F.signedAddMayOverflow(F));
2259 TEST_F(ConstantRangeTest, SignedSubOverflow) {
2260 // Ill-defined - may overflow is a conservative result.
2261 EXPECT_MAY_OVERFLOW(Some.signedSubMayOverflow(Empty));
2262 EXPECT_MAY_OVERFLOW(Empty.signedSubMayOverflow(Some));
2264 // Never overflow despite one full/wrap set.
2265 ConstantRange Zero(APInt::getZero(16));
2266 EXPECT_NEVER_OVERFLOWS(Full.signedSubMayOverflow(Zero));
2267 EXPECT_NEVER_OVERFLOWS(Wrap.signedSubMayOverflow(Zero));
2269 // But usually full/wrap always may overflow.
2270 EXPECT_MAY_OVERFLOW(Full.signedSubMayOverflow(One));
2271 EXPECT_MAY_OVERFLOW(Wrap.signedSubMayOverflow(One));
2272 EXPECT_MAY_OVERFLOW(One.signedSubMayOverflow(Full));
2273 EXPECT_MAY_OVERFLOW(One.signedSubMayOverflow(Wrap));
2275 ConstantRange A(APInt(16, 0x7d00), APInt(16, 0x7e00));
2276 ConstantRange B1(APInt(16, 0xfe00), APInt(16, 0xff00));
2277 ConstantRange B2(APInt(16, 0xfd99), APInt(16, 0xff00));
2278 EXPECT_NEVER_OVERFLOWS(A.signedSubMayOverflow(B1));
2279 EXPECT_MAY_OVERFLOW(A.signedSubMayOverflow(B2));
2280 ConstantRange B3(APInt(16, 0xfc00), APInt(16, 0xfd02));
2281 ConstantRange B4(APInt(16, 0xfc00), APInt(16, 0xfd01));
2282 EXPECT_MAY_OVERFLOW(A.signedSubMayOverflow(B3));
2283 EXPECT_ALWAYS_OVERFLOWS_HIGH(A.signedSubMayOverflow(B4));
2285 ConstantRange C(APInt(16, 0x8200), APInt(16, 0x8300));
2286 ConstantRange D1(APInt(16, 0x0100), APInt(16, 0x0201));
2287 ConstantRange D2(APInt(16, 0x0100), APInt(16, 0x0202));
2288 EXPECT_NEVER_OVERFLOWS(C.signedSubMayOverflow(D1));
2289 EXPECT_MAY_OVERFLOW(C.signedSubMayOverflow(D2));
2290 ConstantRange D3(APInt(16, 0x0299), APInt(16, 0x0400));
2291 ConstantRange D4(APInt(16, 0x0300), APInt(16, 0x0400));
2292 EXPECT_MAY_OVERFLOW(C.signedSubMayOverflow(D3));
2293 EXPECT_ALWAYS_OVERFLOWS_LOW(C.signedSubMayOverflow(D4));
2295 ConstantRange E(APInt(16, 0xff00), APInt(16, 0x0100));
2296 EXPECT_NEVER_OVERFLOWS(E.signedSubMayOverflow(E));
2297 ConstantRange F(APInt(16, 0xf000), APInt(16, 0x7001));
2298 EXPECT_MAY_OVERFLOW(F.signedSubMayOverflow(F));
2301 template <typename Fn1, typename Fn2>
2302 static void TestOverflowExhaustive(Fn1 OverflowFn, Fn2 MayOverflowFn) {
2303 // Constant range overflow checks are tested exhaustively on 4-bit numbers.
2304 EnumerateTwoInterestingConstantRanges([=](const ConstantRange &CR1,
2305 const ConstantRange &CR2) {
2306 // Loop over all N1 in CR1 and N2 in CR2 and check whether any of the
2307 // operations have overflow / have no overflow.
2308 bool RangeHasOverflowLow = false;
2309 bool RangeHasOverflowHigh = false;
2310 bool RangeHasNoOverflow = false;
2311 ForeachNumInConstantRange(CR1, [&](const APInt &N1) {
2312 ForeachNumInConstantRange(CR2, [&](const APInt &N2) {
2313 bool IsOverflowHigh;
2314 if (!OverflowFn(IsOverflowHigh, N1, N2)) {
2315 RangeHasNoOverflow = true;
2316 return;
2319 if (IsOverflowHigh)
2320 RangeHasOverflowHigh = true;
2321 else
2322 RangeHasOverflowLow = true;
2326 ConstantRange::OverflowResult OR = MayOverflowFn(CR1, CR2);
2327 switch (OR) {
2328 case ConstantRange::OverflowResult::AlwaysOverflowsLow:
2329 EXPECT_TRUE(RangeHasOverflowLow);
2330 EXPECT_FALSE(RangeHasOverflowHigh);
2331 EXPECT_FALSE(RangeHasNoOverflow);
2332 break;
2333 case ConstantRange::OverflowResult::AlwaysOverflowsHigh:
2334 EXPECT_TRUE(RangeHasOverflowHigh);
2335 EXPECT_FALSE(RangeHasOverflowLow);
2336 EXPECT_FALSE(RangeHasNoOverflow);
2337 break;
2338 case ConstantRange::OverflowResult::NeverOverflows:
2339 EXPECT_FALSE(RangeHasOverflowLow);
2340 EXPECT_FALSE(RangeHasOverflowHigh);
2341 EXPECT_TRUE(RangeHasNoOverflow);
2342 break;
2343 case ConstantRange::OverflowResult::MayOverflow:
2344 // We return MayOverflow for empty sets as a conservative result,
2345 // but of course neither the RangeHasOverflow nor the
2346 // RangeHasNoOverflow flags will be set.
2347 if (CR1.isEmptySet() || CR2.isEmptySet())
2348 break;
2350 EXPECT_TRUE(RangeHasOverflowLow || RangeHasOverflowHigh);
2351 EXPECT_TRUE(RangeHasNoOverflow);
2352 break;
2357 TEST_F(ConstantRangeTest, UnsignedAddOverflowExhaustive) {
2358 TestOverflowExhaustive(
2359 [](bool &IsOverflowHigh, const APInt &N1, const APInt &N2) {
2360 bool Overflow;
2361 (void) N1.uadd_ov(N2, Overflow);
2362 IsOverflowHigh = true;
2363 return Overflow;
2365 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2366 return CR1.unsignedAddMayOverflow(CR2);
2370 TEST_F(ConstantRangeTest, UnsignedSubOverflowExhaustive) {
2371 TestOverflowExhaustive(
2372 [](bool &IsOverflowHigh, const APInt &N1, const APInt &N2) {
2373 bool Overflow;
2374 (void) N1.usub_ov(N2, Overflow);
2375 IsOverflowHigh = false;
2376 return Overflow;
2378 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2379 return CR1.unsignedSubMayOverflow(CR2);
2383 TEST_F(ConstantRangeTest, UnsignedMulOverflowExhaustive) {
2384 TestOverflowExhaustive(
2385 [](bool &IsOverflowHigh, const APInt &N1, const APInt &N2) {
2386 bool Overflow;
2387 (void) N1.umul_ov(N2, Overflow);
2388 IsOverflowHigh = true;
2389 return Overflow;
2391 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2392 return CR1.unsignedMulMayOverflow(CR2);
2396 TEST_F(ConstantRangeTest, SignedAddOverflowExhaustive) {
2397 TestOverflowExhaustive(
2398 [](bool &IsOverflowHigh, const APInt &N1, const APInt &N2) {
2399 bool Overflow;
2400 (void) N1.sadd_ov(N2, Overflow);
2401 IsOverflowHigh = N1.isNonNegative();
2402 return Overflow;
2404 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2405 return CR1.signedAddMayOverflow(CR2);
2409 TEST_F(ConstantRangeTest, SignedSubOverflowExhaustive) {
2410 TestOverflowExhaustive(
2411 [](bool &IsOverflowHigh, const APInt &N1, const APInt &N2) {
2412 bool Overflow;
2413 (void) N1.ssub_ov(N2, Overflow);
2414 IsOverflowHigh = N1.isNonNegative();
2415 return Overflow;
2417 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2418 return CR1.signedSubMayOverflow(CR2);
2422 TEST_F(ConstantRangeTest, FromKnownBits) {
2423 KnownBits Unknown(16);
2424 EXPECT_EQ(Full, ConstantRange::fromKnownBits(Unknown, /*signed*/false));
2425 EXPECT_EQ(Full, ConstantRange::fromKnownBits(Unknown, /*signed*/true));
2427 // .10..01. -> unsigned 01000010 (66) to 11011011 (219)
2428 // -> signed 11000010 (194) to 01011011 (91)
2429 KnownBits Known(8);
2430 Known.Zero = 36;
2431 Known.One = 66;
2432 ConstantRange Unsigned(APInt(8, 66), APInt(8, 219 + 1));
2433 ConstantRange Signed(APInt(8, 194), APInt(8, 91 + 1));
2434 EXPECT_EQ(Unsigned, ConstantRange::fromKnownBits(Known, /*signed*/false));
2435 EXPECT_EQ(Signed, ConstantRange::fromKnownBits(Known, /*signed*/true));
2437 // 1.10.10. -> 10100100 (164) to 11101101 (237)
2438 Known.Zero = 18;
2439 Known.One = 164;
2440 ConstantRange CR1(APInt(8, 164), APInt(8, 237 + 1));
2441 EXPECT_EQ(CR1, ConstantRange::fromKnownBits(Known, /*signed*/false));
2442 EXPECT_EQ(CR1, ConstantRange::fromKnownBits(Known, /*signed*/true));
2444 // 01.0.1.0 -> 01000100 (68) to 01101110 (110)
2445 Known.Zero = 145;
2446 Known.One = 68;
2447 ConstantRange CR2(APInt(8, 68), APInt(8, 110 + 1));
2448 EXPECT_EQ(CR2, ConstantRange::fromKnownBits(Known, /*signed*/false));
2449 EXPECT_EQ(CR2, ConstantRange::fromKnownBits(Known, /*signed*/true));
2452 TEST_F(ConstantRangeTest, FromKnownBitsExhaustive) {
2453 unsigned Bits = 4;
2454 unsigned Max = 1 << Bits;
2455 KnownBits Known(Bits);
2456 for (unsigned Zero = 0; Zero < Max; ++Zero) {
2457 for (unsigned One = 0; One < Max; ++One) {
2458 Known.Zero = Zero;
2459 Known.One = One;
2460 if (Known.hasConflict() || Known.isUnknown())
2461 continue;
2463 SmallBitVector Elems(1 << Bits);
2464 for (unsigned N = 0; N < Max; ++N) {
2465 APInt Num(Bits, N);
2466 if ((Num & Known.Zero) != 0 || (~Num & Known.One) != 0)
2467 continue;
2468 Elems.set(Num.getZExtValue());
2471 TestRange(ConstantRange::fromKnownBits(Known, false),
2472 Elems, PreferSmallestUnsigned, {});
2473 TestRange(ConstantRange::fromKnownBits(Known, true),
2474 Elems, PreferSmallestSigned, {});
2479 TEST_F(ConstantRangeTest, ToKnownBits) {
2480 EnumerateInterestingConstantRanges([&](const ConstantRange &CR) {
2481 KnownBits Known = CR.toKnownBits();
2482 KnownBits ExpectedKnown(CR.getBitWidth());
2483 ExpectedKnown.Zero.setAllBits();
2484 ExpectedKnown.One.setAllBits();
2485 ForeachNumInConstantRange(CR, [&](const APInt &N) {
2486 ExpectedKnown.One &= N;
2487 ExpectedKnown.Zero &= ~N;
2489 // For an empty CR any result would be legal.
2490 if (!CR.isEmptySet()) {
2491 EXPECT_EQ(ExpectedKnown, Known);
2496 TEST_F(ConstantRangeTest, Negative) {
2497 // All elements in an empty set (of which there are none) are both negative
2498 // and non-negative. Empty & full sets checked explicitly for clarity, but
2499 // they are also covered by the exhaustive test below.
2500 EXPECT_TRUE(Empty.isAllNegative());
2501 EXPECT_TRUE(Empty.isAllNonNegative());
2502 EXPECT_TRUE(Empty.isAllPositive());
2503 EXPECT_FALSE(Full.isAllNegative());
2504 EXPECT_FALSE(Full.isAllNonNegative());
2505 EXPECT_FALSE(Full.isAllPositive());
2507 EnumerateInterestingConstantRanges([](const ConstantRange &CR) {
2508 bool AllNegative = true;
2509 bool AllNonNegative = true;
2510 bool AllPositive = true;
2511 ForeachNumInConstantRange(CR, [&](const APInt &N) {
2512 if (!N.isNegative())
2513 AllNegative = false;
2514 if (!N.isNonNegative())
2515 AllNonNegative = false;
2516 if (!N.isStrictlyPositive())
2517 AllPositive = false;
2519 assert(
2520 (CR.isEmptySet() || !AllNegative || !AllNonNegative || !AllPositive) &&
2521 "Only empty set can be all negative, all non-negative, and all "
2522 "positive");
2524 EXPECT_EQ(AllNegative, CR.isAllNegative());
2525 EXPECT_EQ(AllNonNegative, CR.isAllNonNegative());
2526 EXPECT_EQ(AllPositive, CR.isAllPositive());
2530 TEST_F(ConstantRangeTest, UAddSat) {
2531 TestBinaryOpExhaustive(
2532 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2533 return CR1.uadd_sat(CR2);
2535 [](const APInt &N1, const APInt &N2) {
2536 return N1.uadd_sat(N2);
2538 PreferSmallestUnsigned);
2541 TEST_F(ConstantRangeTest, USubSat) {
2542 TestBinaryOpExhaustive(
2543 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2544 return CR1.usub_sat(CR2);
2546 [](const APInt &N1, const APInt &N2) {
2547 return N1.usub_sat(N2);
2549 PreferSmallestUnsigned);
2552 TEST_F(ConstantRangeTest, UMulSat) {
2553 TestBinaryOpExhaustive(
2554 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2555 return CR1.umul_sat(CR2);
2557 [](const APInt &N1, const APInt &N2) { return N1.umul_sat(N2); },
2558 PreferSmallestUnsigned);
2561 TEST_F(ConstantRangeTest, UShlSat) {
2562 TestBinaryOpExhaustive(
2563 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2564 return CR1.ushl_sat(CR2);
2566 [](const APInt &N1, const APInt &N2) { return N1.ushl_sat(N2); },
2567 PreferSmallestUnsigned);
2570 TEST_F(ConstantRangeTest, SAddSat) {
2571 TestBinaryOpExhaustive(
2572 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2573 return CR1.sadd_sat(CR2);
2575 [](const APInt &N1, const APInt &N2) {
2576 return N1.sadd_sat(N2);
2578 PreferSmallestSigned);
2581 TEST_F(ConstantRangeTest, SSubSat) {
2582 TestBinaryOpExhaustive(
2583 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2584 return CR1.ssub_sat(CR2);
2586 [](const APInt &N1, const APInt &N2) {
2587 return N1.ssub_sat(N2);
2589 PreferSmallestSigned);
2592 TEST_F(ConstantRangeTest, SMulSat) {
2593 TestBinaryOpExhaustive(
2594 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2595 return CR1.smul_sat(CR2);
2597 [](const APInt &N1, const APInt &N2) { return N1.smul_sat(N2); },
2598 PreferSmallestSigned);
2601 TEST_F(ConstantRangeTest, SShlSat) {
2602 TestBinaryOpExhaustive(
2603 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2604 return CR1.sshl_sat(CR2);
2606 [](const APInt &N1, const APInt &N2) { return N1.sshl_sat(N2); },
2607 PreferSmallestSigned);
2610 TEST_F(ConstantRangeTest, Abs) {
2611 TestUnaryOpExhaustive(
2612 [](const ConstantRange &CR) { return CR.abs(); },
2613 [](const APInt &N) { return N.abs(); });
2615 TestUnaryOpExhaustive(
2616 [](const ConstantRange &CR) { return CR.abs(/*IntMinIsPoison=*/true); },
2617 [](const APInt &N) -> std::optional<APInt> {
2618 if (N.isMinSignedValue())
2619 return std::nullopt;
2620 return N.abs();
2624 TEST_F(ConstantRangeTest, Ctlz) {
2625 TestUnaryOpExhaustive(
2626 [](const ConstantRange &CR) { return CR.ctlz(); },
2627 [](const APInt &N) { return APInt(N.getBitWidth(), N.countl_zero()); });
2629 TestUnaryOpExhaustive(
2630 [](const ConstantRange &CR) { return CR.ctlz(/*ZeroIsPoison=*/true); },
2631 [](const APInt &N) -> std::optional<APInt> {
2632 if (N.isZero())
2633 return std::nullopt;
2634 return APInt(N.getBitWidth(), N.countl_zero());
2638 TEST_F(ConstantRangeTest, Cttz) {
2639 TestUnaryOpExhaustive(
2640 [](const ConstantRange &CR) { return CR.cttz(); },
2641 [](const APInt &N) { return APInt(N.getBitWidth(), N.countr_zero()); });
2643 TestUnaryOpExhaustive(
2644 [](const ConstantRange &CR) { return CR.cttz(/*ZeroIsPoison=*/true); },
2645 [](const APInt &N) -> std::optional<APInt> {
2646 if (N.isZero())
2647 return std::nullopt;
2648 return APInt(N.getBitWidth(), N.countr_zero());
2652 TEST_F(ConstantRangeTest, Ctpop) {
2653 TestUnaryOpExhaustive(
2654 [](const ConstantRange &CR) { return CR.ctpop(); },
2655 [](const APInt &N) { return APInt(N.getBitWidth(), N.popcount()); });
2658 TEST_F(ConstantRangeTest, castOps) {
2659 ConstantRange A(APInt(16, 66), APInt(16, 128));
2660 ConstantRange FpToI8 = A.castOp(Instruction::FPToSI, 8);
2661 EXPECT_EQ(8u, FpToI8.getBitWidth());
2662 EXPECT_TRUE(FpToI8.isFullSet());
2664 ConstantRange FpToI16 = A.castOp(Instruction::FPToSI, 16);
2665 EXPECT_EQ(16u, FpToI16.getBitWidth());
2666 EXPECT_EQ(A, FpToI16);
2668 ConstantRange FPExtToDouble = A.castOp(Instruction::FPExt, 64);
2669 EXPECT_EQ(64u, FPExtToDouble.getBitWidth());
2670 EXPECT_TRUE(FPExtToDouble.isFullSet());
2672 ConstantRange PtrToInt = A.castOp(Instruction::PtrToInt, 64);
2673 EXPECT_EQ(64u, PtrToInt.getBitWidth());
2674 EXPECT_TRUE(PtrToInt.isFullSet());
2676 ConstantRange IntToPtr = A.castOp(Instruction::IntToPtr, 64);
2677 EXPECT_EQ(64u, IntToPtr.getBitWidth());
2678 EXPECT_TRUE(IntToPtr.isFullSet());
2680 ConstantRange UIToFP = A.castOp(Instruction::UIToFP, 16);
2681 EXPECT_EQ(16u, UIToFP.getBitWidth());
2682 EXPECT_TRUE(UIToFP.isFullSet());
2684 ConstantRange UIToFP2 = A.castOp(Instruction::UIToFP, 64);
2685 ConstantRange B(APInt(64, 0), APInt(64, 65536));
2686 EXPECT_EQ(64u, UIToFP2.getBitWidth());
2687 EXPECT_EQ(B, UIToFP2);
2689 ConstantRange SIToFP = A.castOp(Instruction::SIToFP, 16);
2690 EXPECT_EQ(16u, SIToFP.getBitWidth());
2691 EXPECT_TRUE(SIToFP.isFullSet());
2693 ConstantRange SIToFP2 = A.castOp(Instruction::SIToFP, 64);
2694 ConstantRange C(APInt(64, -32768), APInt(64, 32768));
2695 EXPECT_EQ(64u, SIToFP2.getBitWidth());
2696 EXPECT_EQ(C, SIToFP2);
2699 TEST_F(ConstantRangeTest, binaryAnd) {
2700 // Single element ranges.
2701 ConstantRange R16(APInt(8, 16));
2702 ConstantRange R20(APInt(8, 20));
2703 EXPECT_EQ(*R16.binaryAnd(R16).getSingleElement(), APInt(8, 16));
2704 EXPECT_EQ(*R16.binaryAnd(R20).getSingleElement(), APInt(8, 16 & 20));
2706 ConstantRange R16_32(APInt(8, 16), APInt(8, 32));
2707 // 'And' with a high bits mask.
2708 ConstantRange R32(APInt(8, 32));
2709 EXPECT_TRUE(R16_32.binaryAnd(R32).getSingleElement()->isZero());
2710 EXPECT_TRUE(R32.binaryAnd(R16_32).getSingleElement()->isZero());
2711 // 'And' with a low bits mask. Handled conservatively for now.
2712 ConstantRange R4(APInt(8, 4));
2713 ConstantRange R0_5(APInt(8, 0), APInt(8, 5));
2714 EXPECT_EQ(R16_32.binaryAnd(R4), R0_5);
2715 EXPECT_EQ(R4.binaryAnd(R16_32), R0_5);
2717 // Ranges with more than one element. Handled conservatively for now.
2718 ConstantRange R0_99(APInt(8, 0), APInt(8, 99));
2719 ConstantRange R0_32(APInt(8, 0), APInt(8, 32));
2720 EXPECT_EQ(R16_32.binaryAnd(R0_99), R0_32);
2721 EXPECT_EQ(R0_99.binaryAnd(R16_32), R0_32);
2723 TestBinaryOpExhaustive(
2724 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2725 return CR1.binaryAnd(CR2);
2727 [](const APInt &N1, const APInt &N2) { return N1 & N2; }, PreferSmallest,
2728 CheckSingleElementsOnly);
2731 TEST_F(ConstantRangeTest, binaryOr) {
2732 // Single element ranges.
2733 ConstantRange R16(APInt(8, 16));
2734 ConstantRange R20(APInt(8, 20));
2735 EXPECT_EQ(*R16.binaryOr(R16).getSingleElement(), APInt(8, 16));
2736 EXPECT_EQ(*R16.binaryOr(R20).getSingleElement(), APInt(8, 16 | 20));
2738 ConstantRange R16_32(APInt(8, 16), APInt(8, 32));
2739 // 'Or' with a high bits mask.
2740 // KnownBits estimate is important, otherwise the maximum included element
2741 // would be 2^8 - 1.
2742 ConstantRange R32(APInt(8, 32));
2743 ConstantRange R48_64(APInt(8, 48), APInt(8, 64));
2744 EXPECT_EQ(R16_32.binaryOr(R32), R48_64);
2745 EXPECT_EQ(R32.binaryOr(R16_32), R48_64);
2746 // 'Or' with a low bits mask.
2747 ConstantRange R4(APInt(8, 4));
2748 ConstantRange R0_16(APInt(8, 0), APInt(8, 16));
2749 ConstantRange R4_16(APInt(8, 4), APInt(8, 16));
2750 EXPECT_EQ(R0_16.binaryOr(R4), R4_16);
2751 EXPECT_EQ(R4.binaryOr(R0_16), R4_16);
2753 // Ranges with more than one element. Handled conservatively for now.
2754 // UMaxUMin estimate is important, otherwise the lower bound would be zero.
2755 ConstantRange R0_64(APInt(8, 0), APInt(8, 64));
2756 ConstantRange R5_32(APInt(8, 5), APInt(8, 32));
2757 ConstantRange R5_64(APInt(8, 5), APInt(8, 64));
2758 EXPECT_EQ(R0_64.binaryOr(R5_32), R5_64);
2759 EXPECT_EQ(R5_32.binaryOr(R0_64), R5_64);
2761 TestBinaryOpExhaustive(
2762 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2763 return CR1.binaryOr(CR2);
2765 [](const APInt &N1, const APInt &N2) { return N1 | N2; }, PreferSmallest,
2766 CheckSingleElementsOnly);
2769 TEST_F(ConstantRangeTest, binaryXor) {
2770 // Single element ranges.
2771 ConstantRange R16(APInt(8, 16));
2772 ConstantRange R20(APInt(8, 20));
2773 EXPECT_EQ(*R16.binaryXor(R16).getSingleElement(), APInt(8, 0));
2774 EXPECT_EQ(*R16.binaryXor(R20).getSingleElement(), APInt(8, 16 ^ 20));
2776 // Ranges with more than a single element.
2777 ConstantRange R16_35(APInt(8, 16), APInt(8, 35));
2778 ConstantRange R0_99(APInt(8, 0), APInt(8, 99));
2779 EXPECT_EQ(R16_35.binaryXor(R16_35), ConstantRange(APInt(8, 0), APInt(8, 64)));
2780 EXPECT_EQ(R16_35.binaryXor(R0_99), ConstantRange(APInt(8, 0), APInt(8, 128)));
2781 EXPECT_EQ(R0_99.binaryXor(R16_35), ConstantRange(APInt(8, 0), APInt(8, 128)));
2783 // Treat xor A, B as sub nsw nuw A, B
2784 ConstantRange R0_51(APInt(8, 0), APInt(8, 51));
2785 ConstantRange R63(APInt(8, 63));
2786 EXPECT_EQ(R0_51.binaryXor(R63), ConstantRange(APInt(8, 13), APInt(8, 64)));
2787 EXPECT_EQ(R63.binaryXor(R0_51), ConstantRange(APInt(8, 13), APInt(8, 64)));
2789 TestBinaryOpExhaustive(
2790 [](const ConstantRange &CR1, const ConstantRange &CR2) {
2791 return CR1.binaryXor(CR2);
2793 [](const APInt &N1, const APInt &N2) {
2794 return N1 ^ N2;
2796 PreferSmallest,
2797 CheckSingleElementsOnly);
2800 TEST_F(ConstantRangeTest, binaryNot) {
2801 TestUnaryOpExhaustive(
2802 [](const ConstantRange &CR) { return CR.binaryNot(); },
2803 [](const APInt &N) { return ~N; },
2804 PreferSmallest);
2805 TestUnaryOpExhaustive(
2806 [](const ConstantRange &CR) {
2807 return CR.binaryXor(ConstantRange(APInt::getAllOnes(CR.getBitWidth())));
2809 [](const APInt &N) { return ~N; }, PreferSmallest);
2810 TestUnaryOpExhaustive(
2811 [](const ConstantRange &CR) {
2812 return ConstantRange(APInt::getAllOnes(CR.getBitWidth())).binaryXor(CR);
2814 [](const APInt &N) { return ~N; }, PreferSmallest);
2817 template <typename T>
2818 void testConstantRangeICmpPredEquivalence(ICmpInst::Predicate SrcPred, T Func) {
2819 EnumerateTwoInterestingConstantRanges(
2820 [&](const ConstantRange &CR1, const ConstantRange &CR2) {
2821 ICmpInst::Predicate TgtPred;
2822 bool ExpectedEquivalent;
2823 std::tie(TgtPred, ExpectedEquivalent) = Func(CR1, CR2);
2824 if (TgtPred == CmpInst::Predicate::BAD_ICMP_PREDICATE)
2825 return;
2826 bool TrulyEquivalent = true;
2827 ForeachNumInConstantRange(CR1, [&](const APInt &N1) {
2828 if (!TrulyEquivalent)
2829 return;
2830 ForeachNumInConstantRange(CR2, [&](const APInt &N2) {
2831 if (!TrulyEquivalent)
2832 return;
2833 TrulyEquivalent &= ICmpInst::compare(N1, N2, SrcPred) ==
2834 ICmpInst::compare(N1, N2, TgtPred);
2837 ASSERT_EQ(TrulyEquivalent, ExpectedEquivalent);
2841 TEST_F(ConstantRangeTest, areInsensitiveToSignednessOfICmpPredicate) {
2842 for (auto Pred : ICmpInst::predicates()) {
2843 if (ICmpInst::isEquality(Pred))
2844 continue;
2845 ICmpInst::Predicate FlippedSignednessPred =
2846 ICmpInst::getFlippedSignednessPredicate(Pred);
2847 testConstantRangeICmpPredEquivalence(Pred, [FlippedSignednessPred](
2848 const ConstantRange &CR1,
2849 const ConstantRange &CR2) {
2850 return std::make_pair(
2851 FlippedSignednessPred,
2852 ConstantRange::areInsensitiveToSignednessOfICmpPredicate(CR1, CR2));
2857 TEST_F(ConstantRangeTest, areInsensitiveToSignednessOfInvertedICmpPredicate) {
2858 for (auto Pred : ICmpInst::predicates()) {
2859 if (ICmpInst::isEquality(Pred))
2860 continue;
2861 ICmpInst::Predicate InvertedFlippedSignednessPred =
2862 ICmpInst::getInversePredicate(
2863 ICmpInst::getFlippedSignednessPredicate(Pred));
2864 testConstantRangeICmpPredEquivalence(
2865 Pred, [InvertedFlippedSignednessPred](const ConstantRange &CR1,
2866 const ConstantRange &CR2) {
2867 return std::make_pair(
2868 InvertedFlippedSignednessPred,
2869 ConstantRange::areInsensitiveToSignednessOfInvertedICmpPredicate(
2870 CR1, CR2));
2875 TEST_F(ConstantRangeTest, getEquivalentPredWithFlippedSignedness) {
2876 for (auto Pred : ICmpInst::predicates()) {
2877 if (ICmpInst::isEquality(Pred))
2878 continue;
2879 testConstantRangeICmpPredEquivalence(
2880 Pred, [Pred](const ConstantRange &CR1, const ConstantRange &CR2) {
2881 return std::make_pair(
2882 ConstantRange::getEquivalentPredWithFlippedSignedness(Pred, CR1,
2883 CR2),
2884 /*ExpectedEquivalent=*/true);
2889 TEST_F(ConstantRangeTest, isSizeLargerThan) {
2890 EXPECT_FALSE(Empty.isSizeLargerThan(0));
2892 EXPECT_TRUE(Full.isSizeLargerThan(0));
2893 EXPECT_TRUE(Full.isSizeLargerThan(65535));
2894 EXPECT_FALSE(Full.isSizeLargerThan(65536));
2896 EXPECT_TRUE(One.isSizeLargerThan(0));
2897 EXPECT_FALSE(One.isSizeLargerThan(1));
2900 TEST_F(ConstantRangeTest, MakeMaskNotEqualRange) {
2901 // Mask: 0b0001, C: 0b0001. MMNE() = [2, 1)
2902 ConstantRange CR(APInt(4, 2), APInt(4, 1));
2903 EXPECT_EQ(CR, ConstantRange::makeMaskNotEqualRange(APInt(4, 1), APInt(4, 1)));
2904 EXPECT_NE(CR, ConstantRange::makeMaskNotEqualRange(APInt(4, 0),
2905 APInt(4, -1, true)));
2906 EXPECT_TRUE(CR.contains(APInt(4, 7)));
2907 EXPECT_TRUE(CR.contains(APInt(4, 15)));
2909 // Mask: 0b0100, C: 0b0100. MMNE() = [-8, 4)
2910 ConstantRange CR2(APInt(4, -8, true), APInt(4, 4));
2911 auto MMNE = ConstantRange::makeMaskNotEqualRange(APInt(4, 4), APInt(4, 4));
2912 EXPECT_EQ(CR2, MMNE);
2913 EXPECT_NE(ConstantRange::getNonEmpty(APInt(4, 0), APInt(4, -4, true)), MMNE);
2915 // CR: [-16, -8). MMNE() = [-8, -16)
2916 ConstantRange CR3(APInt(8, 240), APInt(8, 248));
2917 EXPECT_EQ(CR3.inverse(),
2918 ConstantRange::makeMaskNotEqualRange(APInt(8, 248), APInt(8, 240)));
2920 // Mask: 0, C: 0b1111: unsatisfiable.
2921 EXPECT_EQ(ConstantRange::getFull(4),
2922 ConstantRange::makeMaskNotEqualRange(APInt(4, 0), APInt(4, 15)));
2925 TEST_F(ConstantRangeTest, MakeMaskNotEqualRangeExhaustive) {
2926 unsigned Bits = 4;
2927 unsigned Max = 1 << Bits;
2929 EnumerateAPInts(Bits, [&](const APInt &Mask) {
2930 EnumerateAPInts(Bits, [&](const APInt &C) {
2931 SmallBitVector Elems(Max);
2932 for (unsigned N = 0; N < Max; ++N) {
2933 APInt Num(Bits, N);
2934 if ((Num & Mask) == C)
2935 continue;
2936 Elems.set(Num.getZExtValue());
2939 // Only test optimality with PreferSmallest. E.g., given Mask = 0b0001, C
2940 // = 0b0001, a possible better range would be [0, 15) when preferring the
2941 // smallest unsigned, however we conservatively return [2, 1).
2942 TestRange(ConstantRange::makeMaskNotEqualRange(Mask, C), Elems,
2943 PreferSmallest, {});
2948 } // anonymous namespace