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      1 //===- ConstantRangeTest.cpp - ConstantRange tests ------------------------===//
      2 //
      3 //                     The LLVM Compiler Infrastructure
      4 //
      5 // This file is distributed under the University of Illinois Open Source
      6 // License. See LICENSE.TXT for details.
      7 //
      8 //===----------------------------------------------------------------------===//
      9 
     10 #include "llvm/IR/ConstantRange.h"
     11 #include "llvm/IR/Instructions.h"
     12 #include "gtest/gtest.h"
     13 
     14 using namespace llvm;
     15 
     16 namespace {
     17 
     18 class ConstantRangeTest : public ::testing::Test {
     19 protected:
     20   static ConstantRange Full;
     21   static ConstantRange Empty;
     22   static ConstantRange One;
     23   static ConstantRange Some;
     24   static ConstantRange Wrap;
     25 };
     26 
     27 ConstantRange ConstantRangeTest::Full(16);
     28 ConstantRange ConstantRangeTest::Empty(16, false);
     29 ConstantRange ConstantRangeTest::One(APInt(16, 0xa));
     30 ConstantRange ConstantRangeTest::Some(APInt(16, 0xa), APInt(16, 0xaaa));
     31 ConstantRange ConstantRangeTest::Wrap(APInt(16, 0xaaa), APInt(16, 0xa));
     32 
     33 TEST_F(ConstantRangeTest, Basics) {
     34   EXPECT_TRUE(Full.isFullSet());
     35   EXPECT_FALSE(Full.isEmptySet());
     36   EXPECT_TRUE(Full.inverse().isEmptySet());
     37   EXPECT_FALSE(Full.isWrappedSet());
     38   EXPECT_TRUE(Full.contains(APInt(16, 0x0)));
     39   EXPECT_TRUE(Full.contains(APInt(16, 0x9)));
     40   EXPECT_TRUE(Full.contains(APInt(16, 0xa)));
     41   EXPECT_TRUE(Full.contains(APInt(16, 0xaa9)));
     42   EXPECT_TRUE(Full.contains(APInt(16, 0xaaa)));
     43 
     44   EXPECT_FALSE(Empty.isFullSet());
     45   EXPECT_TRUE(Empty.isEmptySet());
     46   EXPECT_TRUE(Empty.inverse().isFullSet());
     47   EXPECT_FALSE(Empty.isWrappedSet());
     48   EXPECT_FALSE(Empty.contains(APInt(16, 0x0)));
     49   EXPECT_FALSE(Empty.contains(APInt(16, 0x9)));
     50   EXPECT_FALSE(Empty.contains(APInt(16, 0xa)));
     51   EXPECT_FALSE(Empty.contains(APInt(16, 0xaa9)));
     52   EXPECT_FALSE(Empty.contains(APInt(16, 0xaaa)));
     53 
     54   EXPECT_FALSE(One.isFullSet());
     55   EXPECT_FALSE(One.isEmptySet());
     56   EXPECT_FALSE(One.isWrappedSet());
     57   EXPECT_FALSE(One.contains(APInt(16, 0x0)));
     58   EXPECT_FALSE(One.contains(APInt(16, 0x9)));
     59   EXPECT_TRUE(One.contains(APInt(16, 0xa)));
     60   EXPECT_FALSE(One.contains(APInt(16, 0xaa9)));
     61   EXPECT_FALSE(One.contains(APInt(16, 0xaaa)));
     62   EXPECT_FALSE(One.inverse().contains(APInt(16, 0xa)));
     63 
     64   EXPECT_FALSE(Some.isFullSet());
     65   EXPECT_FALSE(Some.isEmptySet());
     66   EXPECT_FALSE(Some.isWrappedSet());
     67   EXPECT_FALSE(Some.contains(APInt(16, 0x0)));
     68   EXPECT_FALSE(Some.contains(APInt(16, 0x9)));
     69   EXPECT_TRUE(Some.contains(APInt(16, 0xa)));
     70   EXPECT_TRUE(Some.contains(APInt(16, 0xaa9)));
     71   EXPECT_FALSE(Some.contains(APInt(16, 0xaaa)));
     72 
     73   EXPECT_FALSE(Wrap.isFullSet());
     74   EXPECT_FALSE(Wrap.isEmptySet());
     75   EXPECT_TRUE(Wrap.isWrappedSet());
     76   EXPECT_TRUE(Wrap.contains(APInt(16, 0x0)));
     77   EXPECT_TRUE(Wrap.contains(APInt(16, 0x9)));
     78   EXPECT_FALSE(Wrap.contains(APInt(16, 0xa)));
     79   EXPECT_FALSE(Wrap.contains(APInt(16, 0xaa9)));
     80   EXPECT_TRUE(Wrap.contains(APInt(16, 0xaaa)));
     81 }
     82 
     83 TEST_F(ConstantRangeTest, Equality) {
     84   EXPECT_EQ(Full, Full);
     85   EXPECT_EQ(Empty, Empty);
     86   EXPECT_EQ(One, One);
     87   EXPECT_EQ(Some, Some);
     88   EXPECT_EQ(Wrap, Wrap);
     89   EXPECT_NE(Full, Empty);
     90   EXPECT_NE(Full, One);
     91   EXPECT_NE(Full, Some);
     92   EXPECT_NE(Full, Wrap);
     93   EXPECT_NE(Empty, One);
     94   EXPECT_NE(Empty, Some);
     95   EXPECT_NE(Empty, Wrap);
     96   EXPECT_NE(One, Some);
     97   EXPECT_NE(One, Wrap);
     98   EXPECT_NE(Some, Wrap);
     99 }
    100 
    101 TEST_F(ConstantRangeTest, SingleElement) {
    102   EXPECT_EQ(Full.getSingleElement(), static_cast<APInt *>(nullptr));
    103   EXPECT_EQ(Empty.getSingleElement(), static_cast<APInt *>(nullptr));
    104   EXPECT_EQ(*One.getSingleElement(), APInt(16, 0xa));
    105   EXPECT_EQ(Some.getSingleElement(), static_cast<APInt *>(nullptr));
    106   EXPECT_EQ(Wrap.getSingleElement(), static_cast<APInt *>(nullptr));
    107 
    108   EXPECT_FALSE(Full.isSingleElement());
    109   EXPECT_FALSE(Empty.isSingleElement());
    110   EXPECT_TRUE(One.isSingleElement());
    111   EXPECT_FALSE(Some.isSingleElement());
    112   EXPECT_FALSE(Wrap.isSingleElement());
    113 }
    114 
    115 TEST_F(ConstantRangeTest, GetSetSize) {
    116   EXPECT_EQ(Full.getSetSize(), APInt(17, 65536));
    117   EXPECT_EQ(Empty.getSetSize(), APInt(17, 0));
    118   EXPECT_EQ(One.getSetSize(), APInt(17, 1));
    119   EXPECT_EQ(Some.getSetSize(), APInt(17, 0xaa0));
    120 
    121   ConstantRange Wrap(APInt(4, 7), APInt(4, 3));
    122   ConstantRange Wrap2(APInt(4, 8), APInt(4, 7));
    123   EXPECT_EQ(Wrap.getSetSize(), APInt(5, 12));
    124   EXPECT_EQ(Wrap2.getSetSize(), APInt(5, 15));
    125 }
    126 
    127 TEST_F(ConstantRangeTest, GetMinsAndMaxes) {
    128   EXPECT_EQ(Full.getUnsignedMax(), APInt(16, UINT16_MAX));
    129   EXPECT_EQ(One.getUnsignedMax(), APInt(16, 0xa));
    130   EXPECT_EQ(Some.getUnsignedMax(), APInt(16, 0xaa9));
    131   EXPECT_EQ(Wrap.getUnsignedMax(), APInt(16, UINT16_MAX));
    132 
    133   EXPECT_EQ(Full.getUnsignedMin(), APInt(16, 0));
    134   EXPECT_EQ(One.getUnsignedMin(), APInt(16, 0xa));
    135   EXPECT_EQ(Some.getUnsignedMin(), APInt(16, 0xa));
    136   EXPECT_EQ(Wrap.getUnsignedMin(), APInt(16, 0));
    137 
    138   EXPECT_EQ(Full.getSignedMax(), APInt(16, INT16_MAX));
    139   EXPECT_EQ(One.getSignedMax(), APInt(16, 0xa));
    140   EXPECT_EQ(Some.getSignedMax(), APInt(16, 0xaa9));
    141   EXPECT_EQ(Wrap.getSignedMax(), APInt(16, INT16_MAX));
    142 
    143   EXPECT_EQ(Full.getSignedMin(), APInt(16, (uint64_t)INT16_MIN));
    144   EXPECT_EQ(One.getSignedMin(), APInt(16, 0xa));
    145   EXPECT_EQ(Some.getSignedMin(), APInt(16, 0xa));
    146   EXPECT_EQ(Wrap.getSignedMin(), APInt(16, (uint64_t)INT16_MIN));
    147 
    148   // Found by Klee
    149   EXPECT_EQ(ConstantRange(APInt(4, 7), APInt(4, 0)).getSignedMax(),
    150             APInt(4, 7));
    151 }
    152 
    153 TEST_F(ConstantRangeTest, SignWrapped) {
    154   EXPECT_TRUE(Full.isSignWrappedSet());
    155   EXPECT_FALSE(Empty.isSignWrappedSet());
    156   EXPECT_FALSE(One.isSignWrappedSet());
    157   EXPECT_FALSE(Some.isSignWrappedSet());
    158   EXPECT_TRUE(Wrap.isSignWrappedSet());
    159 
    160   EXPECT_FALSE(ConstantRange(APInt(8, 127), APInt(8, 128)).isSignWrappedSet());
    161   EXPECT_TRUE(ConstantRange(APInt(8, 127), APInt(8, 129)).isSignWrappedSet());
    162   EXPECT_FALSE(ConstantRange(APInt(8, 128), APInt(8, 129)).isSignWrappedSet());
    163   EXPECT_TRUE(ConstantRange(APInt(8, 10), APInt(8, 9)).isSignWrappedSet());
    164   EXPECT_TRUE(ConstantRange(APInt(8, 10), APInt(8, 250)).isSignWrappedSet());
    165   EXPECT_FALSE(ConstantRange(APInt(8, 250), APInt(8, 10)).isSignWrappedSet());
    166   EXPECT_FALSE(ConstantRange(APInt(8, 250), APInt(8, 251)).isSignWrappedSet());
    167 }
    168 
    169 TEST_F(ConstantRangeTest, Trunc) {
    170   ConstantRange TFull = Full.truncate(10);
    171   ConstantRange TEmpty = Empty.truncate(10);
    172   ConstantRange TOne = One.truncate(10);
    173   ConstantRange TSome = Some.truncate(10);
    174   ConstantRange TWrap = Wrap.truncate(10);
    175   EXPECT_TRUE(TFull.isFullSet());
    176   EXPECT_TRUE(TEmpty.isEmptySet());
    177   EXPECT_EQ(TOne, ConstantRange(One.getLower().trunc(10),
    178                                 One.getUpper().trunc(10)));
    179   EXPECT_TRUE(TSome.isFullSet());
    180 }
    181 
    182 TEST_F(ConstantRangeTest, ZExt) {
    183   ConstantRange ZFull = Full.zeroExtend(20);
    184   ConstantRange ZEmpty = Empty.zeroExtend(20);
    185   ConstantRange ZOne = One.zeroExtend(20);
    186   ConstantRange ZSome = Some.zeroExtend(20);
    187   ConstantRange ZWrap = Wrap.zeroExtend(20);
    188   EXPECT_EQ(ZFull, ConstantRange(APInt(20, 0), APInt(20, 0x10000)));
    189   EXPECT_TRUE(ZEmpty.isEmptySet());
    190   EXPECT_EQ(ZOne, ConstantRange(One.getLower().zext(20),
    191                                 One.getUpper().zext(20)));
    192   EXPECT_EQ(ZSome, ConstantRange(Some.getLower().zext(20),
    193                                  Some.getUpper().zext(20)));
    194   EXPECT_EQ(ZWrap, ConstantRange(APInt(20, 0), APInt(20, 0x10000)));
    195 
    196   // zext([5, 0), 3->7) = [5, 8)
    197   ConstantRange FiveZero(APInt(3, 5), APInt(3, 0));
    198   EXPECT_EQ(FiveZero.zeroExtend(7), ConstantRange(APInt(7, 5), APInt(7, 8)));
    199 }
    200 
    201 TEST_F(ConstantRangeTest, SExt) {
    202   ConstantRange SFull = Full.signExtend(20);
    203   ConstantRange SEmpty = Empty.signExtend(20);
    204   ConstantRange SOne = One.signExtend(20);
    205   ConstantRange SSome = Some.signExtend(20);
    206   ConstantRange SWrap = Wrap.signExtend(20);
    207   EXPECT_EQ(SFull, ConstantRange(APInt(20, (uint64_t)INT16_MIN, true),
    208                                  APInt(20, INT16_MAX + 1, true)));
    209   EXPECT_TRUE(SEmpty.isEmptySet());
    210   EXPECT_EQ(SOne, ConstantRange(One.getLower().sext(20),
    211                                 One.getUpper().sext(20)));
    212   EXPECT_EQ(SSome, ConstantRange(Some.getLower().sext(20),
    213                                  Some.getUpper().sext(20)));
    214   EXPECT_EQ(SWrap, ConstantRange(APInt(20, (uint64_t)INT16_MIN, true),
    215                                  APInt(20, INT16_MAX + 1, true)));
    216 
    217   EXPECT_EQ(ConstantRange(APInt(8, 120), APInt(8, 140)).signExtend(16),
    218             ConstantRange(APInt(16, -128), APInt(16, 128)));
    219 
    220   EXPECT_EQ(ConstantRange(APInt(16, 0x0200), APInt(16, 0x8000)).signExtend(19),
    221             ConstantRange(APInt(19, 0x0200), APInt(19, 0x8000)));
    222 }
    223 
    224 TEST_F(ConstantRangeTest, IntersectWith) {
    225   EXPECT_EQ(Empty.intersectWith(Full), Empty);
    226   EXPECT_EQ(Empty.intersectWith(Empty), Empty);
    227   EXPECT_EQ(Empty.intersectWith(One), Empty);
    228   EXPECT_EQ(Empty.intersectWith(Some), Empty);
    229   EXPECT_EQ(Empty.intersectWith(Wrap), Empty);
    230   EXPECT_EQ(Full.intersectWith(Full), Full);
    231   EXPECT_EQ(Some.intersectWith(Some), Some);
    232   EXPECT_EQ(Some.intersectWith(One), One);
    233   EXPECT_EQ(Full.intersectWith(One), One);
    234   EXPECT_EQ(Full.intersectWith(Some), Some);
    235   EXPECT_EQ(Some.intersectWith(Wrap), Empty);
    236   EXPECT_EQ(One.intersectWith(Wrap), Empty);
    237   EXPECT_EQ(One.intersectWith(Wrap), Wrap.intersectWith(One));
    238 
    239   // Klee generated testcase from PR4545.
    240   // The intersection of i16 [4, 2) and [6, 5) is disjoint, looking like
    241   // 01..4.6789ABCDEF where the dots represent values not in the intersection.
    242   ConstantRange LHS(APInt(16, 4), APInt(16, 2));
    243   ConstantRange RHS(APInt(16, 6), APInt(16, 5));
    244   EXPECT_TRUE(LHS.intersectWith(RHS) == LHS);
    245 
    246   // previous bug: intersection of [min, 3) and [2, max) should be 2
    247   LHS = ConstantRange(APInt(32, -2147483646), APInt(32, 3));
    248   RHS = ConstantRange(APInt(32, 2), APInt(32, 2147483646));
    249   EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 2)));
    250 
    251   // [2, 0) /\ [4, 3) = [2, 0)
    252   LHS = ConstantRange(APInt(32, 2), APInt(32, 0));
    253   RHS = ConstantRange(APInt(32, 4), APInt(32, 3));
    254   EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 2), APInt(32, 0)));
    255 
    256   // [2, 0) /\ [4, 2) = [4, 0)
    257   LHS = ConstantRange(APInt(32, 2), APInt(32, 0));
    258   RHS = ConstantRange(APInt(32, 4), APInt(32, 2));
    259   EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 4), APInt(32, 0)));
    260 
    261   // [4, 2) /\ [5, 1) = [5, 1)
    262   LHS = ConstantRange(APInt(32, 4), APInt(32, 2));
    263   RHS = ConstantRange(APInt(32, 5), APInt(32, 1));
    264   EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 5), APInt(32, 1)));
    265 
    266   // [2, 0) /\ [7, 4) = [7, 4)
    267   LHS = ConstantRange(APInt(32, 2), APInt(32, 0));
    268   RHS = ConstantRange(APInt(32, 7), APInt(32, 4));
    269   EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 7), APInt(32, 4)));
    270 
    271   // [4, 2) /\ [1, 0) = [1, 0)
    272   LHS = ConstantRange(APInt(32, 4), APInt(32, 2));
    273   RHS = ConstantRange(APInt(32, 1), APInt(32, 0));
    274   EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 4), APInt(32, 2)));
    275 
    276   // [15, 0) /\ [7, 6) = [15, 0)
    277   LHS = ConstantRange(APInt(32, 15), APInt(32, 0));
    278   RHS = ConstantRange(APInt(32, 7), APInt(32, 6));
    279   EXPECT_EQ(LHS.intersectWith(RHS), ConstantRange(APInt(32, 15), APInt(32, 0)));
    280 }
    281 
    282 TEST_F(ConstantRangeTest, UnionWith) {
    283   EXPECT_EQ(Wrap.unionWith(One),
    284             ConstantRange(APInt(16, 0xaaa), APInt(16, 0xb)));
    285   EXPECT_EQ(One.unionWith(Wrap), Wrap.unionWith(One));
    286   EXPECT_EQ(Empty.unionWith(Empty), Empty);
    287   EXPECT_EQ(Full.unionWith(Full), Full);
    288   EXPECT_EQ(Some.unionWith(Wrap), Full);
    289 
    290   // PR4545
    291   EXPECT_EQ(ConstantRange(APInt(16, 14), APInt(16, 1)).unionWith(
    292                                     ConstantRange(APInt(16, 0), APInt(16, 8))),
    293             ConstantRange(APInt(16, 14), APInt(16, 8)));
    294   EXPECT_EQ(ConstantRange(APInt(16, 6), APInt(16, 4)).unionWith(
    295                                     ConstantRange(APInt(16, 4), APInt(16, 0))),
    296               ConstantRange(16));
    297   EXPECT_EQ(ConstantRange(APInt(16, 1), APInt(16, 0)).unionWith(
    298                                     ConstantRange(APInt(16, 2), APInt(16, 1))),
    299               ConstantRange(16));
    300 }
    301 
    302 TEST_F(ConstantRangeTest, SetDifference) {
    303   EXPECT_EQ(Full.difference(Empty), Full);
    304   EXPECT_EQ(Full.difference(Full), Empty);
    305   EXPECT_EQ(Empty.difference(Empty), Empty);
    306   EXPECT_EQ(Empty.difference(Full), Empty);
    307 
    308   ConstantRange A(APInt(16, 3), APInt(16, 7));
    309   ConstantRange B(APInt(16, 5), APInt(16, 9));
    310   ConstantRange C(APInt(16, 3), APInt(16, 5));
    311   ConstantRange D(APInt(16, 7), APInt(16, 9));
    312   ConstantRange E(APInt(16, 5), APInt(16, 4));
    313   ConstantRange F(APInt(16, 7), APInt(16, 3));
    314   EXPECT_EQ(A.difference(B), C);
    315   EXPECT_EQ(B.difference(A), D);
    316   EXPECT_EQ(E.difference(A), F);
    317 }
    318 
    319 TEST_F(ConstantRangeTest, SubtractAPInt) {
    320   EXPECT_EQ(Full.subtract(APInt(16, 4)), Full);
    321   EXPECT_EQ(Empty.subtract(APInt(16, 4)), Empty);
    322   EXPECT_EQ(Some.subtract(APInt(16, 4)),
    323             ConstantRange(APInt(16, 0x6), APInt(16, 0xaa6)));
    324   EXPECT_EQ(Wrap.subtract(APInt(16, 4)),
    325             ConstantRange(APInt(16, 0xaa6), APInt(16, 0x6)));
    326   EXPECT_EQ(One.subtract(APInt(16, 4)),
    327             ConstantRange(APInt(16, 0x6)));
    328 }
    329 
    330 TEST_F(ConstantRangeTest, Add) {
    331   EXPECT_EQ(Full.add(APInt(16, 4)), Full);
    332   EXPECT_EQ(Full.add(Full), Full);
    333   EXPECT_EQ(Full.add(Empty), Empty);
    334   EXPECT_EQ(Full.add(One), Full);
    335   EXPECT_EQ(Full.add(Some), Full);
    336   EXPECT_EQ(Full.add(Wrap), Full);
    337   EXPECT_EQ(Empty.add(Empty), Empty);
    338   EXPECT_EQ(Empty.add(One), Empty);
    339   EXPECT_EQ(Empty.add(Some), Empty);
    340   EXPECT_EQ(Empty.add(Wrap), Empty);
    341   EXPECT_EQ(Empty.add(APInt(16, 4)), Empty);
    342   EXPECT_EQ(Some.add(APInt(16, 4)),
    343             ConstantRange(APInt(16, 0xe), APInt(16, 0xaae)));
    344   EXPECT_EQ(Wrap.add(APInt(16, 4)),
    345             ConstantRange(APInt(16, 0xaae), APInt(16, 0xe)));
    346   EXPECT_EQ(One.add(APInt(16, 4)),
    347             ConstantRange(APInt(16, 0xe)));
    348 }
    349 
    350 TEST_F(ConstantRangeTest, Sub) {
    351   EXPECT_EQ(Full.sub(APInt(16, 4)), Full);
    352   EXPECT_EQ(Full.sub(Full), Full);
    353   EXPECT_EQ(Full.sub(Empty), Empty);
    354   EXPECT_EQ(Full.sub(One), Full);
    355   EXPECT_EQ(Full.sub(Some), Full);
    356   EXPECT_EQ(Full.sub(Wrap), Full);
    357   EXPECT_EQ(Empty.sub(Empty), Empty);
    358   EXPECT_EQ(Empty.sub(One), Empty);
    359   EXPECT_EQ(Empty.sub(Some), Empty);
    360   EXPECT_EQ(Empty.sub(Wrap), Empty);
    361   EXPECT_EQ(Empty.sub(APInt(16, 4)), Empty);
    362   EXPECT_EQ(Some.sub(APInt(16, 4)),
    363             ConstantRange(APInt(16, 0x6), APInt(16, 0xaa6)));
    364   EXPECT_EQ(Some.sub(Some),
    365             ConstantRange(APInt(16, 0xf561), APInt(16, 0xaa0)));
    366   EXPECT_EQ(Wrap.sub(APInt(16, 4)),
    367             ConstantRange(APInt(16, 0xaa6), APInt(16, 0x6)));
    368   EXPECT_EQ(One.sub(APInt(16, 4)),
    369             ConstantRange(APInt(16, 0x6)));
    370 }
    371 
    372 TEST_F(ConstantRangeTest, Multiply) {
    373   EXPECT_EQ(Full.multiply(Full), Full);
    374   EXPECT_EQ(Full.multiply(Empty), Empty);
    375   EXPECT_EQ(Full.multiply(One), Full);
    376   EXPECT_EQ(Full.multiply(Some), Full);
    377   EXPECT_EQ(Full.multiply(Wrap), Full);
    378   EXPECT_EQ(Empty.multiply(Empty), Empty);
    379   EXPECT_EQ(Empty.multiply(One), Empty);
    380   EXPECT_EQ(Empty.multiply(Some), Empty);
    381   EXPECT_EQ(Empty.multiply(Wrap), Empty);
    382   EXPECT_EQ(One.multiply(One), ConstantRange(APInt(16, 0xa*0xa),
    383                                              APInt(16, 0xa*0xa + 1)));
    384   EXPECT_EQ(One.multiply(Some), ConstantRange(APInt(16, 0xa*0xa),
    385                                               APInt(16, 0xa*0xaa9 + 1)));
    386   EXPECT_EQ(One.multiply(Wrap), Full);
    387   EXPECT_EQ(Some.multiply(Some), Full);
    388   EXPECT_EQ(Some.multiply(Wrap), Full);
    389   EXPECT_EQ(Wrap.multiply(Wrap), Full);
    390 
    391   ConstantRange Zero(APInt(16, 0));
    392   EXPECT_EQ(Zero.multiply(Full), Zero);
    393   EXPECT_EQ(Zero.multiply(Some), Zero);
    394   EXPECT_EQ(Zero.multiply(Wrap), Zero);
    395   EXPECT_EQ(Full.multiply(Zero), Zero);
    396   EXPECT_EQ(Some.multiply(Zero), Zero);
    397   EXPECT_EQ(Wrap.multiply(Zero), Zero);
    398 
    399   // http://llvm.org/PR4545
    400   EXPECT_EQ(ConstantRange(APInt(4, 1), APInt(4, 6)).multiply(
    401                 ConstantRange(APInt(4, 6), APInt(4, 2))),
    402             ConstantRange(4, /*isFullSet=*/true));
    403 }
    404 
    405 TEST_F(ConstantRangeTest, UMax) {
    406   EXPECT_EQ(Full.umax(Full), Full);
    407   EXPECT_EQ(Full.umax(Empty), Empty);
    408   EXPECT_EQ(Full.umax(Some), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
    409   EXPECT_EQ(Full.umax(Wrap), Full);
    410   EXPECT_EQ(Full.umax(Some), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
    411   EXPECT_EQ(Empty.umax(Empty), Empty);
    412   EXPECT_EQ(Empty.umax(Some), Empty);
    413   EXPECT_EQ(Empty.umax(Wrap), Empty);
    414   EXPECT_EQ(Empty.umax(One), Empty);
    415   EXPECT_EQ(Some.umax(Some), Some);
    416   EXPECT_EQ(Some.umax(Wrap), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
    417   EXPECT_EQ(Some.umax(One), Some);
    418   // TODO: ConstantRange is currently over-conservative here.
    419   EXPECT_EQ(Wrap.umax(Wrap), Full);
    420   EXPECT_EQ(Wrap.umax(One), ConstantRange(APInt(16, 0xa), APInt(16, 0)));
    421   EXPECT_EQ(One.umax(One), One);
    422 }
    423 
    424 TEST_F(ConstantRangeTest, SMax) {
    425   EXPECT_EQ(Full.smax(Full), Full);
    426   EXPECT_EQ(Full.smax(Empty), Empty);
    427   EXPECT_EQ(Full.smax(Some), ConstantRange(APInt(16, 0xa),
    428                                            APInt::getSignedMinValue(16)));
    429   EXPECT_EQ(Full.smax(Wrap), Full);
    430   EXPECT_EQ(Full.smax(One), ConstantRange(APInt(16, 0xa),
    431                                           APInt::getSignedMinValue(16)));
    432   EXPECT_EQ(Empty.smax(Empty), Empty);
    433   EXPECT_EQ(Empty.smax(Some), Empty);
    434   EXPECT_EQ(Empty.smax(Wrap), Empty);
    435   EXPECT_EQ(Empty.smax(One), Empty);
    436   EXPECT_EQ(Some.smax(Some), Some);
    437   EXPECT_EQ(Some.smax(Wrap), ConstantRange(APInt(16, 0xa),
    438                                            APInt(16, (uint64_t)INT16_MIN)));
    439   EXPECT_EQ(Some.smax(One), Some);
    440   EXPECT_EQ(Wrap.smax(One), ConstantRange(APInt(16, 0xa),
    441                                           APInt(16, (uint64_t)INT16_MIN)));
    442   EXPECT_EQ(One.smax(One), One);
    443 }
    444 
    445 TEST_F(ConstantRangeTest, UDiv) {
    446   EXPECT_EQ(Full.udiv(Full), Full);
    447   EXPECT_EQ(Full.udiv(Empty), Empty);
    448   EXPECT_EQ(Full.udiv(One), ConstantRange(APInt(16, 0),
    449                                           APInt(16, 0xffff / 0xa + 1)));
    450   EXPECT_EQ(Full.udiv(Some), ConstantRange(APInt(16, 0),
    451                                            APInt(16, 0xffff / 0xa + 1)));
    452   EXPECT_EQ(Full.udiv(Wrap), Full);
    453   EXPECT_EQ(Empty.udiv(Empty), Empty);
    454   EXPECT_EQ(Empty.udiv(One), Empty);
    455   EXPECT_EQ(Empty.udiv(Some), Empty);
    456   EXPECT_EQ(Empty.udiv(Wrap), Empty);
    457   EXPECT_EQ(One.udiv(One), ConstantRange(APInt(16, 1)));
    458   EXPECT_EQ(One.udiv(Some), ConstantRange(APInt(16, 0), APInt(16, 2)));
    459   EXPECT_EQ(One.udiv(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xb)));
    460   EXPECT_EQ(Some.udiv(Some), ConstantRange(APInt(16, 0), APInt(16, 0x111)));
    461   EXPECT_EQ(Some.udiv(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xaaa)));
    462   EXPECT_EQ(Wrap.udiv(Wrap), Full);
    463 }
    464 
    465 TEST_F(ConstantRangeTest, Shl) {
    466   EXPECT_EQ(Full.shl(Full), Full);
    467   EXPECT_EQ(Full.shl(Empty), Empty);
    468   EXPECT_EQ(Full.shl(One), Full);    // TODO: [0, (-1 << 0xa) + 1)
    469   EXPECT_EQ(Full.shl(Some), Full);   // TODO: [0, (-1 << 0xa) + 1)
    470   EXPECT_EQ(Full.shl(Wrap), Full);
    471   EXPECT_EQ(Empty.shl(Empty), Empty);
    472   EXPECT_EQ(Empty.shl(One), Empty);
    473   EXPECT_EQ(Empty.shl(Some), Empty);
    474   EXPECT_EQ(Empty.shl(Wrap), Empty);
    475   EXPECT_EQ(One.shl(One), ConstantRange(APInt(16, 0xa << 0xa),
    476                                         APInt(16, (0xa << 0xa) + 1)));
    477   EXPECT_EQ(One.shl(Some), Full);    // TODO: [0xa << 0xa, 0)
    478   EXPECT_EQ(One.shl(Wrap), Full);    // TODO: [0xa, 0xa << 14 + 1)
    479   EXPECT_EQ(Some.shl(Some), Full);   // TODO: [0xa << 0xa, 0xfc01)
    480   EXPECT_EQ(Some.shl(Wrap), Full);   // TODO: [0xa, 0x7ff << 0x5 + 1)
    481   EXPECT_EQ(Wrap.shl(Wrap), Full);
    482 }
    483 
    484 TEST_F(ConstantRangeTest, Lshr) {
    485   EXPECT_EQ(Full.lshr(Full), Full);
    486   EXPECT_EQ(Full.lshr(Empty), Empty);
    487   EXPECT_EQ(Full.lshr(One), ConstantRange(APInt(16, 0),
    488                                           APInt(16, (0xffff >> 0xa) + 1)));
    489   EXPECT_EQ(Full.lshr(Some), ConstantRange(APInt(16, 0),
    490                                            APInt(16, (0xffff >> 0xa) + 1)));
    491   EXPECT_EQ(Full.lshr(Wrap), Full);
    492   EXPECT_EQ(Empty.lshr(Empty), Empty);
    493   EXPECT_EQ(Empty.lshr(One), Empty);
    494   EXPECT_EQ(Empty.lshr(Some), Empty);
    495   EXPECT_EQ(Empty.lshr(Wrap), Empty);
    496   EXPECT_EQ(One.lshr(One), ConstantRange(APInt(16, 0)));
    497   EXPECT_EQ(One.lshr(Some), ConstantRange(APInt(16, 0)));
    498   EXPECT_EQ(One.lshr(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xb)));
    499   EXPECT_EQ(Some.lshr(Some), ConstantRange(APInt(16, 0),
    500                                            APInt(16, (0xaaa >> 0xa) + 1)));
    501   EXPECT_EQ(Some.lshr(Wrap), ConstantRange(APInt(16, 0), APInt(16, 0xaaa)));
    502   EXPECT_EQ(Wrap.lshr(Wrap), Full);
    503 }
    504 
    505 TEST(ConstantRange, MakeICmpRegion) {
    506   // PR8250
    507   ConstantRange SMax = ConstantRange(APInt::getSignedMaxValue(32));
    508   EXPECT_TRUE(ConstantRange::makeICmpRegion(ICmpInst::ICMP_SGT,
    509                                             SMax).isEmptySet());
    510 }
    511 
    512 }  // anonymous namespace
    513