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      1 //===- llvm/unittest/ADT/APInt.cpp - APInt unit 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/ADT/APInt.h"
     11 #include "llvm/ADT/SmallString.h"
     12 #include "gtest/gtest.h"
     13 #include <ostream>
     14 
     15 using namespace llvm;
     16 
     17 namespace {
     18 
     19 // Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
     20 TEST(APIntTest, ShiftLeftByZero) {
     21   APInt One = APInt::getNullValue(65) + 1;
     22   APInt Shl = One.shl(0);
     23   EXPECT_TRUE(Shl[0]);
     24   EXPECT_FALSE(Shl[1]);
     25 }
     26 
     27 TEST(APIntTest, i128_NegativeCount) {
     28   APInt Minus3(128, static_cast<uint64_t>(-3), true);
     29   EXPECT_EQ(126u, Minus3.countLeadingOnes());
     30   EXPECT_EQ(-3, Minus3.getSExtValue());
     31 
     32   APInt Minus1(128, static_cast<uint64_t>(-1), true);
     33   EXPECT_EQ(0u, Minus1.countLeadingZeros());
     34   EXPECT_EQ(128u, Minus1.countLeadingOnes());
     35   EXPECT_EQ(128u, Minus1.getActiveBits());
     36   EXPECT_EQ(0u, Minus1.countTrailingZeros());
     37   EXPECT_EQ(128u, Minus1.countTrailingOnes());
     38   EXPECT_EQ(128u, Minus1.countPopulation());
     39   EXPECT_EQ(-1, Minus1.getSExtValue());
     40 }
     41 
     42 // XFAIL this test on FreeBSD where the system gcc-4.2.1 seems to miscompile it.
     43 #if defined(__llvm__) || !defined(__FreeBSD__)
     44 
     45 TEST(APIntTest, i33_Count) {
     46   APInt i33minus2(33, static_cast<uint64_t>(-2), true);
     47   EXPECT_EQ(0u, i33minus2.countLeadingZeros());
     48   EXPECT_EQ(32u, i33minus2.countLeadingOnes());
     49   EXPECT_EQ(33u, i33minus2.getActiveBits());
     50   EXPECT_EQ(1u, i33minus2.countTrailingZeros());
     51   EXPECT_EQ(32u, i33minus2.countPopulation());
     52   EXPECT_EQ(-2, i33minus2.getSExtValue());
     53   EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
     54 }
     55 
     56 #endif
     57 
     58 TEST(APIntTest, i65_Count) {
     59   APInt i65(65, 0, true);
     60   EXPECT_EQ(65u, i65.countLeadingZeros());
     61   EXPECT_EQ(0u, i65.countLeadingOnes());
     62   EXPECT_EQ(0u, i65.getActiveBits());
     63   EXPECT_EQ(1u, i65.getActiveWords());
     64   EXPECT_EQ(65u, i65.countTrailingZeros());
     65   EXPECT_EQ(0u, i65.countPopulation());
     66 
     67   APInt i65minus(65, 0, true);
     68   i65minus.setBit(64);
     69   EXPECT_EQ(0u, i65minus.countLeadingZeros());
     70   EXPECT_EQ(1u, i65minus.countLeadingOnes());
     71   EXPECT_EQ(65u, i65minus.getActiveBits());
     72   EXPECT_EQ(64u, i65minus.countTrailingZeros());
     73   EXPECT_EQ(1u, i65minus.countPopulation());
     74 }
     75 
     76 TEST(APIntTest, i128_PositiveCount) {
     77   APInt u128max = APInt::getAllOnesValue(128);
     78   EXPECT_EQ(128u, u128max.countLeadingOnes());
     79   EXPECT_EQ(0u, u128max.countLeadingZeros());
     80   EXPECT_EQ(128u, u128max.getActiveBits());
     81   EXPECT_EQ(0u, u128max.countTrailingZeros());
     82   EXPECT_EQ(128u, u128max.countTrailingOnes());
     83   EXPECT_EQ(128u, u128max.countPopulation());
     84 
     85   APInt u64max(128, static_cast<uint64_t>(-1), false);
     86   EXPECT_EQ(64u, u64max.countLeadingZeros());
     87   EXPECT_EQ(0u, u64max.countLeadingOnes());
     88   EXPECT_EQ(64u, u64max.getActiveBits());
     89   EXPECT_EQ(0u, u64max.countTrailingZeros());
     90   EXPECT_EQ(64u, u64max.countTrailingOnes());
     91   EXPECT_EQ(64u, u64max.countPopulation());
     92   EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());
     93 
     94   APInt zero(128, 0, true);
     95   EXPECT_EQ(128u, zero.countLeadingZeros());
     96   EXPECT_EQ(0u, zero.countLeadingOnes());
     97   EXPECT_EQ(0u, zero.getActiveBits());
     98   EXPECT_EQ(128u, zero.countTrailingZeros());
     99   EXPECT_EQ(0u, zero.countTrailingOnes());
    100   EXPECT_EQ(0u, zero.countPopulation());
    101   EXPECT_EQ(0u, zero.getSExtValue());
    102   EXPECT_EQ(0u, zero.getZExtValue());
    103 
    104   APInt one(128, 1, true);
    105   EXPECT_EQ(127u, one.countLeadingZeros());
    106   EXPECT_EQ(0u, one.countLeadingOnes());
    107   EXPECT_EQ(1u, one.getActiveBits());
    108   EXPECT_EQ(0u, one.countTrailingZeros());
    109   EXPECT_EQ(1u, one.countTrailingOnes());
    110   EXPECT_EQ(1u, one.countPopulation());
    111   EXPECT_EQ(1, one.getSExtValue());
    112   EXPECT_EQ(1u, one.getZExtValue());
    113 }
    114 
    115 TEST(APIntTest, i1) {
    116   const APInt neg_two(1, static_cast<uint64_t>(-2), true);
    117   const APInt neg_one(1, static_cast<uint64_t>(-1), true);
    118   const APInt zero(1, 0);
    119   const APInt one(1, 1);
    120   const APInt two(1, 2);
    121 
    122   EXPECT_EQ(0, neg_two.getSExtValue());
    123   EXPECT_EQ(-1, neg_one.getSExtValue());
    124   EXPECT_EQ(1u, neg_one.getZExtValue());
    125   EXPECT_EQ(0u, zero.getZExtValue());
    126   EXPECT_EQ(-1, one.getSExtValue());
    127   EXPECT_EQ(1u, one.getZExtValue());
    128   EXPECT_EQ(0u, two.getZExtValue());
    129   EXPECT_EQ(0, two.getSExtValue());
    130 
    131   // Basic equalities for 1-bit values.
    132   EXPECT_EQ(zero, two);
    133   EXPECT_EQ(zero, neg_two);
    134   EXPECT_EQ(one, neg_one);
    135   EXPECT_EQ(two, neg_two);
    136 
    137   // Additions.
    138   EXPECT_EQ(two, one + one);
    139   EXPECT_EQ(zero, neg_one + one);
    140   EXPECT_EQ(neg_two, neg_one + neg_one);
    141 
    142   // Subtractions.
    143   EXPECT_EQ(neg_two, neg_one - one);
    144   EXPECT_EQ(two, one - neg_one);
    145   EXPECT_EQ(zero, one - one);
    146 
    147   // Shifts.
    148   EXPECT_EQ(zero, one << one);
    149   EXPECT_EQ(one, one << zero);
    150   EXPECT_EQ(zero, one.shl(1));
    151   EXPECT_EQ(one, one.shl(0));
    152   EXPECT_EQ(zero, one.lshr(1));
    153   EXPECT_EQ(zero, one.ashr(1));
    154 
    155   // Rotates.
    156   EXPECT_EQ(one, one.rotl(0));
    157   EXPECT_EQ(one, one.rotl(1));
    158   EXPECT_EQ(one, one.rotr(0));
    159   EXPECT_EQ(one, one.rotr(1));
    160 
    161   // Multiplies.
    162   EXPECT_EQ(neg_one, neg_one * one);
    163   EXPECT_EQ(neg_one, one * neg_one);
    164   EXPECT_EQ(one, neg_one * neg_one);
    165   EXPECT_EQ(one, one * one);
    166 
    167   // Divides.
    168   EXPECT_EQ(neg_one, one.sdiv(neg_one));
    169   EXPECT_EQ(neg_one, neg_one.sdiv(one));
    170   EXPECT_EQ(one, neg_one.sdiv(neg_one));
    171   EXPECT_EQ(one, one.sdiv(one));
    172 
    173   EXPECT_EQ(neg_one, one.udiv(neg_one));
    174   EXPECT_EQ(neg_one, neg_one.udiv(one));
    175   EXPECT_EQ(one, neg_one.udiv(neg_one));
    176   EXPECT_EQ(one, one.udiv(one));
    177 
    178   // Remainders.
    179   EXPECT_EQ(zero, neg_one.srem(one));
    180   EXPECT_EQ(zero, neg_one.urem(one));
    181   EXPECT_EQ(zero, one.srem(neg_one));
    182 
    183   // sdivrem
    184   {
    185   APInt q(8, 0);
    186   APInt r(8, 0);
    187   APInt one(8, 1);
    188   APInt two(8, 2);
    189   APInt nine(8, 9);
    190   APInt four(8, 4);
    191 
    192   EXPECT_EQ(nine.srem(two), one);
    193   EXPECT_EQ(nine.srem(-two), one);
    194   EXPECT_EQ((-nine).srem(two), -one);
    195   EXPECT_EQ((-nine).srem(-two), -one);
    196 
    197   APInt::sdivrem(nine, two, q, r);
    198   EXPECT_EQ(four, q);
    199   EXPECT_EQ(one, r);
    200   APInt::sdivrem(-nine, two, q, r);
    201   EXPECT_EQ(-four, q);
    202   EXPECT_EQ(-one, r);
    203   APInt::sdivrem(nine, -two, q, r);
    204   EXPECT_EQ(-four, q);
    205   EXPECT_EQ(one, r);
    206   APInt::sdivrem(-nine, -two, q, r);
    207   EXPECT_EQ(four, q);
    208   EXPECT_EQ(-one, r);
    209   }
    210 }
    211 
    212 TEST(APIntTest, fromString) {
    213   EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
    214   EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
    215   EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
    216   EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
    217   EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));
    218 
    219   EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
    220   EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
    221   EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
    222   EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
    223   EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));
    224 
    225   EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
    226   EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
    227   EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
    228   EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
    229   EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));
    230 
    231 
    232   EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
    233   EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
    234   EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
    235   EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
    236   EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
    237   EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));
    238 
    239   EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
    240   EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
    241   EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
    242   EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
    243   EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
    244   EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));
    245 
    246   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
    247   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
    248   EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
    249   EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
    250   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
    251   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));
    252 
    253 
    254   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
    255   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
    256   EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
    257   EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
    258   EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
    259   EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));
    260 
    261   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
    262   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
    263   EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
    264   EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
    265   EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
    266   EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));
    267 
    268 
    269   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
    270   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
    271   EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
    272   EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
    273   EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
    274   EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));
    275 
    276   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
    277   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
    278   EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
    279   EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
    280   EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
    281   EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));
    282 
    283   EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
    284   EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
    285   EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
    286   EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
    287   EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
    288   EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
    289 
    290   EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
    291   EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
    292   EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
    293   EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
    294   EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
    295   EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
    296 }
    297 
    298 TEST(APIntTest, FromArray) {
    299   EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
    300 }
    301 
    302 TEST(APIntTest, StringBitsNeeded2) {
    303   EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
    304   EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
    305   EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
    306   EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
    307   EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));
    308 
    309   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
    310   EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
    311   EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
    312   EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
    313   EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));
    314 
    315   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
    316   EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
    317   EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
    318   EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
    319   EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
    320 }
    321 
    322 TEST(APIntTest, StringBitsNeeded8) {
    323   EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
    324   EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
    325   EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
    326   EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
    327   EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));
    328 
    329   EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
    330   EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
    331   EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
    332   EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
    333   EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));
    334 
    335   EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
    336   EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
    337   EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
    338   EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
    339   EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
    340 }
    341 
    342 TEST(APIntTest, StringBitsNeeded10) {
    343   EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
    344   EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
    345   EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
    346   EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
    347   EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
    348   EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));
    349 
    350   EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
    351   EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
    352   EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
    353   EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
    354   EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));
    355 
    356   EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
    357   EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
    358   EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
    359   EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
    360   EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
    361 }
    362 
    363 TEST(APIntTest, StringBitsNeeded16) {
    364   EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
    365   EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
    366   EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
    367   EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
    368   EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));
    369 
    370   EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
    371   EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
    372   EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
    373   EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
    374   EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));
    375 
    376   EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
    377   EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
    378   EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
    379   EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
    380   EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
    381 }
    382 
    383 TEST(APIntTest, toString) {
    384   SmallString<16> S;
    385   bool isSigned;
    386 
    387   APInt(8, 0).toString(S, 2, true, true);
    388   EXPECT_EQ(S.str().str(), "0b0");
    389   S.clear();
    390   APInt(8, 0).toString(S, 8, true, true);
    391   EXPECT_EQ(S.str().str(), "00");
    392   S.clear();
    393   APInt(8, 0).toString(S, 10, true, true);
    394   EXPECT_EQ(S.str().str(), "0");
    395   S.clear();
    396   APInt(8, 0).toString(S, 16, true, true);
    397   EXPECT_EQ(S.str().str(), "0x0");
    398   S.clear();
    399   APInt(8, 0).toString(S, 36, true, false);
    400   EXPECT_EQ(S.str().str(), "0");
    401   S.clear();
    402 
    403   isSigned = false;
    404   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
    405   EXPECT_EQ(S.str().str(), "0b11111111");
    406   S.clear();
    407   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
    408   EXPECT_EQ(S.str().str(), "0377");
    409   S.clear();
    410   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
    411   EXPECT_EQ(S.str().str(), "255");
    412   S.clear();
    413   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
    414   EXPECT_EQ(S.str().str(), "0xFF");
    415   S.clear();
    416   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
    417   EXPECT_EQ(S.str().str(), "73");
    418   S.clear();
    419 
    420   isSigned = true;
    421   APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
    422   EXPECT_EQ(S.str().str(), "-0b1");
    423   S.clear();
    424   APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
    425   EXPECT_EQ(S.str().str(), "-01");
    426   S.clear();
    427   APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
    428   EXPECT_EQ(S.str().str(), "-1");
    429   S.clear();
    430   APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
    431   EXPECT_EQ(S.str().str(), "-0x1");
    432   S.clear();
    433   APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
    434   EXPECT_EQ(S.str().str(), "-1");
    435   S.clear();
    436 }
    437 
    438 TEST(APIntTest, Log2) {
    439   EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
    440   EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
    441   EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
    442   EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
    443   EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
    444   EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
    445   EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
    446   EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
    447   EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
    448 }
    449 
    450 TEST(APIntTest, magic) {
    451   EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
    452   EXPECT_EQ(APInt(32, 3).magic().s, 0U);
    453   EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
    454   EXPECT_EQ(APInt(32, 5).magic().s, 1U);
    455   EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
    456   EXPECT_EQ(APInt(32, 7).magic().s, 2U);
    457 }
    458 
    459 TEST(APIntTest, magicu) {
    460   EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
    461   EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
    462   EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
    463   EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
    464   EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
    465   EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
    466   EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
    467   EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
    468 }
    469 
    470 #ifdef GTEST_HAS_DEATH_TEST
    471 #ifndef NDEBUG
    472 TEST(APIntTest, StringDeath) {
    473   EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
    474   EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
    475   EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
    476   EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
    477   EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
    478   EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
    479   EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
    480   EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
    481   EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
    482 }
    483 #endif
    484 #endif
    485 
    486 TEST(APIntTest, mul_clear) {
    487   APInt ValA(65, -1ULL);
    488   APInt ValB(65, 4);
    489   APInt ValC(65, 0);
    490   ValC = ValA * ValB;
    491   ValA *= ValB;
    492   EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
    493 }
    494 
    495 TEST(APIntTest, Rotate) {
    496   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
    497   EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
    498   EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
    499   EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
    500   EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));
    501 
    502   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
    503   EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
    504   EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
    505   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
    506   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));
    507 
    508   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
    509   EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
    510   EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
    511   EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
    512   EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));
    513 
    514   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
    515   EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
    516   EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
    517   EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
    518   EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));
    519 
    520   APInt Big(256, "00004000800000000000000000003fff8000000000000000", 16);
    521   APInt Rot(256, "3fff80000000000000000000000000000000000040008000", 16);
    522   EXPECT_EQ(Rot, Big.rotr(144));
    523 }
    524 
    525 TEST(APIntTest, Splat) {
    526   APInt ValA(8, 0x01);
    527   EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
    528   EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));
    529 
    530   APInt ValB(3, 5);
    531   EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
    532   EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
    533 }
    534 
    535 TEST(APIntTest, tcDecrement) {
    536   // Test single word decrement.
    537 
    538   // No out borrow.
    539   {
    540     integerPart singleWord = ~integerPart(0) << (integerPartWidth - 1);
    541     integerPart carry = APInt::tcDecrement(&singleWord, 1);
    542     EXPECT_EQ(carry, integerPart(0));
    543     EXPECT_EQ(singleWord, ~integerPart(0) >> 1);
    544   }
    545 
    546   // With out borrow.
    547   {
    548     integerPart singleWord = 0;
    549     integerPart carry = APInt::tcDecrement(&singleWord, 1);
    550     EXPECT_EQ(carry, integerPart(1));
    551     EXPECT_EQ(singleWord, ~integerPart(0));
    552   }
    553 
    554   // Test multiword decrement.
    555 
    556   // No across word borrow, no out borrow.
    557   {
    558     integerPart test[4] = {0x1, 0x1, 0x1, 0x1};
    559     integerPart expected[4] = {0x0, 0x1, 0x1, 0x1};
    560     APInt::tcDecrement(test, 4);
    561     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
    562   }
    563 
    564   // 1 across word borrow, no out borrow.
    565   {
    566     integerPart test[4] = {0x0, 0xF, 0x1, 0x1};
    567     integerPart expected[4] = {~integerPart(0), 0xE, 0x1, 0x1};
    568     integerPart carry = APInt::tcDecrement(test, 4);
    569     EXPECT_EQ(carry, integerPart(0));
    570     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
    571   }
    572 
    573   // 2 across word borrow, no out borrow.
    574   {
    575     integerPart test[4] = {0x0, 0x0, 0xC, 0x1};
    576     integerPart expected[4] = {~integerPart(0), ~integerPart(0), 0xB, 0x1};
    577     integerPart carry = APInt::tcDecrement(test, 4);
    578     EXPECT_EQ(carry, integerPart(0));
    579     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
    580   }
    581 
    582   // 3 across word borrow, no out borrow.
    583   {
    584     integerPart test[4] = {0x0, 0x0, 0x0, 0x1};
    585     integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), 0x0};
    586     integerPart carry = APInt::tcDecrement(test, 4);
    587     EXPECT_EQ(carry, integerPart(0));
    588     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
    589   }
    590 
    591   // 3 across word borrow, with out borrow.
    592   {
    593     integerPart test[4] = {0x0, 0x0, 0x0, 0x0};
    594     integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), ~integerPart(0)};
    595     integerPart carry = APInt::tcDecrement(test, 4);
    596     EXPECT_EQ(carry, integerPart(1));
    597     EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
    598   }
    599 }
    600 }
    601