llvm/unittests/ADT/APIntTest.cpp

//===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
//
//                     The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//

#include "llvm/ADT/APInt.h"
#include "llvm/ADT/SmallString.h"
#include "gtest/gtest.h"
#include <array>
#include <ostream>

using namespace llvm;

namespace {

// Test that APInt shift left works when bitwidth > 64 and shiftamt == 0
TEST(APIntTest, ShiftLeftByZero) {
  APInt One = APInt::getNullValue(65) + 1;
  APInt Shl = One.shl(0);
  EXPECT_TRUE(Shl[0]);
  EXPECT_FALSE(Shl[1]);
}

TEST(APIntTest, i128_NegativeCount) {
  APInt Minus3(128, static_cast<uint64_t>(-3), true);
  EXPECT_EQ(126u, Minus3.countLeadingOnes());
  EXPECT_EQ(-3, Minus3.getSExtValue());

  APInt Minus1(128, static_cast<uint64_t>(-1), true);
  EXPECT_EQ(0u, Minus1.countLeadingZeros());
  EXPECT_EQ(128u, Minus1.countLeadingOnes());
  EXPECT_EQ(128u, Minus1.getActiveBits());
  EXPECT_EQ(0u, Minus1.countTrailingZeros());
  EXPECT_EQ(128u, Minus1.countTrailingOnes());
  EXPECT_EQ(128u, Minus1.countPopulation());
  EXPECT_EQ(-1, Minus1.getSExtValue());
}

// XFAIL this test on FreeBSD where the system gcc-4.2.1 seems to miscompile it.
#if defined(__llvm__) || !defined(__FreeBSD__)

TEST(APIntTest, i33_Count) {
  APInt i33minus2(33, static_cast<uint64_t>(-2), true);
  EXPECT_EQ(0u, i33minus2.countLeadingZeros());
  EXPECT_EQ(32u, i33minus2.countLeadingOnes());
  EXPECT_EQ(33u, i33minus2.getActiveBits());
  EXPECT_EQ(1u, i33minus2.countTrailingZeros());
  EXPECT_EQ(32u, i33minus2.countPopulation());
  EXPECT_EQ(-2, i33minus2.getSExtValue());
  EXPECT_EQ(((uint64_t)-2)&((1ull<<33) -1), i33minus2.getZExtValue());
}

#endif

TEST(APIntTest, i65_Count) {
  APInt i65(65, 0, true);
  EXPECT_EQ(65u, i65.countLeadingZeros());
  EXPECT_EQ(0u, i65.countLeadingOnes());
  EXPECT_EQ(0u, i65.getActiveBits());
  EXPECT_EQ(1u, i65.getActiveWords());
  EXPECT_EQ(65u, i65.countTrailingZeros());
  EXPECT_EQ(0u, i65.countPopulation());

  APInt i65minus(65, 0, true);
  i65minus.setBit(64);
  EXPECT_EQ(0u, i65minus.countLeadingZeros());
  EXPECT_EQ(1u, i65minus.countLeadingOnes());
  EXPECT_EQ(65u, i65minus.getActiveBits());
  EXPECT_EQ(64u, i65minus.countTrailingZeros());
  EXPECT_EQ(1u, i65minus.countPopulation());
}

TEST(APIntTest, i128_PositiveCount) {
  APInt u128max = APInt::getAllOnesValue(128);
  EXPECT_EQ(128u, u128max.countLeadingOnes());
  EXPECT_EQ(0u, u128max.countLeadingZeros());
  EXPECT_EQ(128u, u128max.getActiveBits());
  EXPECT_EQ(0u, u128max.countTrailingZeros());
  EXPECT_EQ(128u, u128max.countTrailingOnes());
  EXPECT_EQ(128u, u128max.countPopulation());

  APInt u64max(128, static_cast<uint64_t>(-1), false);
  EXPECT_EQ(64u, u64max.countLeadingZeros());
  EXPECT_EQ(0u, u64max.countLeadingOnes());
  EXPECT_EQ(64u, u64max.getActiveBits());
  EXPECT_EQ(0u, u64max.countTrailingZeros());
  EXPECT_EQ(64u, u64max.countTrailingOnes());
  EXPECT_EQ(64u, u64max.countPopulation());
  EXPECT_EQ((uint64_t)~0ull, u64max.getZExtValue());

  APInt zero(128, 0, true);
  EXPECT_EQ(128u, zero.countLeadingZeros());
  EXPECT_EQ(0u, zero.countLeadingOnes());
  EXPECT_EQ(0u, zero.getActiveBits());
  EXPECT_EQ(128u, zero.countTrailingZeros());
  EXPECT_EQ(0u, zero.countTrailingOnes());
  EXPECT_EQ(0u, zero.countPopulation());
  EXPECT_EQ(0u, zero.getSExtValue());
  EXPECT_EQ(0u, zero.getZExtValue());

  APInt one(128, 1, true);
  EXPECT_EQ(127u, one.countLeadingZeros());
  EXPECT_EQ(0u, one.countLeadingOnes());
  EXPECT_EQ(1u, one.getActiveBits());
  EXPECT_EQ(0u, one.countTrailingZeros());
  EXPECT_EQ(1u, one.countTrailingOnes());
  EXPECT_EQ(1u, one.countPopulation());
  EXPECT_EQ(1, one.getSExtValue());
  EXPECT_EQ(1u, one.getZExtValue());
}

TEST(APIntTest, i1) {
  const APInt neg_two(1, static_cast<uint64_t>(-2), true);
  const APInt neg_one(1, static_cast<uint64_t>(-1), true);
  const APInt zero(1, 0);
  const APInt one(1, 1);
  const APInt two(1, 2);

  EXPECT_EQ(0, neg_two.getSExtValue());
  EXPECT_EQ(-1, neg_one.getSExtValue());
  EXPECT_EQ(1u, neg_one.getZExtValue());
  EXPECT_EQ(0u, zero.getZExtValue());
  EXPECT_EQ(-1, one.getSExtValue());
  EXPECT_EQ(1u, one.getZExtValue());
  EXPECT_EQ(0u, two.getZExtValue());
  EXPECT_EQ(0, two.getSExtValue());

  // Basic equalities for 1-bit values.
  EXPECT_EQ(zero, two);
  EXPECT_EQ(zero, neg_two);
  EXPECT_EQ(one, neg_one);
  EXPECT_EQ(two, neg_two);

  // Min/max signed values.
  EXPECT_TRUE(zero.isMaxSignedValue());
  EXPECT_FALSE(one.isMaxSignedValue());
  EXPECT_FALSE(zero.isMinSignedValue());
  EXPECT_TRUE(one.isMinSignedValue());

  // Additions.
  EXPECT_EQ(two, one + one);
  EXPECT_EQ(zero, neg_one + one);
  EXPECT_EQ(neg_two, neg_one + neg_one);

  // Subtractions.
  EXPECT_EQ(neg_two, neg_one - one);
  EXPECT_EQ(two, one - neg_one);
  EXPECT_EQ(zero, one - one);

  // Shifts.
  EXPECT_EQ(zero, one << one);
  EXPECT_EQ(one, one << zero);
  EXPECT_EQ(zero, one.shl(1));
  EXPECT_EQ(one, one.shl(0));
  EXPECT_EQ(zero, one.lshr(1));
  EXPECT_EQ(zero, one.ashr(1));

  // Rotates.
  EXPECT_EQ(one, one.rotl(0));
  EXPECT_EQ(one, one.rotl(1));
  EXPECT_EQ(one, one.rotr(0));
  EXPECT_EQ(one, one.rotr(1));

  // Multiplies.
  EXPECT_EQ(neg_one, neg_one * one);
  EXPECT_EQ(neg_one, one * neg_one);
  EXPECT_EQ(one, neg_one * neg_one);
  EXPECT_EQ(one, one * one);

  // Divides.
  EXPECT_EQ(neg_one, one.sdiv(neg_one));
  EXPECT_EQ(neg_one, neg_one.sdiv(one));
  EXPECT_EQ(one, neg_one.sdiv(neg_one));
  EXPECT_EQ(one, one.sdiv(one));

  EXPECT_EQ(neg_one, one.udiv(neg_one));
  EXPECT_EQ(neg_one, neg_one.udiv(one));
  EXPECT_EQ(one, neg_one.udiv(neg_one));
  EXPECT_EQ(one, one.udiv(one));

  // Remainders.
  EXPECT_EQ(zero, neg_one.srem(one));
  EXPECT_EQ(zero, neg_one.urem(one));
  EXPECT_EQ(zero, one.srem(neg_one));

  // sdivrem
  {
  APInt q(8, 0);
  APInt r(8, 0);
  APInt one(8, 1);
  APInt two(8, 2);
  APInt nine(8, 9);
  APInt four(8, 4);

  EXPECT_EQ(nine.srem(two), one);
  EXPECT_EQ(nine.srem(-two), one);
  EXPECT_EQ((-nine).srem(two), -one);
  EXPECT_EQ((-nine).srem(-two), -one);

  APInt::sdivrem(nine, two, q, r);
  EXPECT_EQ(four, q);
  EXPECT_EQ(one, r);
  APInt::sdivrem(-nine, two, q, r);
  EXPECT_EQ(-four, q);
  EXPECT_EQ(-one, r);
  APInt::sdivrem(nine, -two, q, r);
  EXPECT_EQ(-four, q);
  EXPECT_EQ(one, r);
  APInt::sdivrem(-nine, -two, q, r);
  EXPECT_EQ(four, q);
  EXPECT_EQ(-one, r);
  }
}

TEST(APIntTest, compare) {
  std::array<APInt, 5> testVals{{
    APInt{16, 2},
    APInt{16, 1},
    APInt{16, 0},
    APInt{16, (uint64_t)-1, true},
    APInt{16, (uint64_t)-2, true},
  }};

  for (auto &arg1 : testVals)
    for (auto &arg2 : testVals) {
      auto uv1 = arg1.getZExtValue();
      auto uv2 = arg2.getZExtValue();
      auto sv1 = arg1.getSExtValue();
      auto sv2 = arg2.getSExtValue();

      EXPECT_EQ(uv1 <  uv2, arg1.ult(arg2));
      EXPECT_EQ(uv1 <= uv2, arg1.ule(arg2));
      EXPECT_EQ(uv1 >  uv2, arg1.ugt(arg2));
      EXPECT_EQ(uv1 >= uv2, arg1.uge(arg2));

      EXPECT_EQ(sv1 <  sv2, arg1.slt(arg2));
      EXPECT_EQ(sv1 <= sv2, arg1.sle(arg2));
      EXPECT_EQ(sv1 >  sv2, arg1.sgt(arg2));
      EXPECT_EQ(sv1 >= sv2, arg1.sge(arg2));

      EXPECT_EQ(uv1 <  uv2, arg1.ult(uv2));
      EXPECT_EQ(uv1 <= uv2, arg1.ule(uv2));
      EXPECT_EQ(uv1 >  uv2, arg1.ugt(uv2));
      EXPECT_EQ(uv1 >= uv2, arg1.uge(uv2));

      EXPECT_EQ(sv1 <  sv2, arg1.slt(sv2));
      EXPECT_EQ(sv1 <= sv2, arg1.sle(sv2));
      EXPECT_EQ(sv1 >  sv2, arg1.sgt(sv2));
      EXPECT_EQ(sv1 >= sv2, arg1.sge(sv2));
    }
}


// Tests different div/rem varaints using scheme (a * b + c) / a
void testDiv(APInt a, APInt b, APInt c) {
  ASSERT_TRUE(a.uge(b)); // Must: a >= b
  ASSERT_TRUE(a.ugt(c)); // Must: a > c

  auto p = a * b + c;

  auto q = p.udiv(a);
  auto r = p.urem(a);
  EXPECT_EQ(b, q);
  EXPECT_EQ(c, r);
  APInt::udivrem(p, a, q, r);
  EXPECT_EQ(b, q);
  EXPECT_EQ(c, r);
  q = p.sdiv(a);
  r = p.srem(a);
  EXPECT_EQ(b, q);
  EXPECT_EQ(c, r);
  APInt::sdivrem(p, a, q, r);
  EXPECT_EQ(b, q);
  EXPECT_EQ(c, r);

  if (b.ugt(c)) { // Test also symmetric case
    q = p.udiv(b);
    r = p.urem(b);
    EXPECT_EQ(a, q);
    EXPECT_EQ(c, r);
    APInt::udivrem(p, b, q, r);
    EXPECT_EQ(a, q);
    EXPECT_EQ(c, r);
    q = p.sdiv(b);
    r = p.srem(b);
    EXPECT_EQ(a, q);
    EXPECT_EQ(c, r);
    APInt::sdivrem(p, b, q, r);
    EXPECT_EQ(a, q);
    EXPECT_EQ(c, r);
  }
}

TEST(APIntTest, divrem_big1) {
  // Tests KnuthDiv rare step D6
  testDiv({256, "1ffffffffffffffff", 16},
          {256, "1ffffffffffffffff", 16},
          {256, 0});
}

TEST(APIntTest, divrem_big2) {
  // Tests KnuthDiv rare step D6
  testDiv({1024,                       "112233ceff"
                 "cecece000000ffffffffffffffffffff"
                 "ffffffffffffffffffffffffffffffff"
                 "ffffffffffffffffffffffffffffffff"
                 "ffffffffffffffffffffffffffffff33", 16},
          {1024,           "111111ffffffffffffffff"
                 "ffffffffffffffffffffffffffffffff"
                 "fffffffffffffffffffffffffffffccf"
                 "ffffffffffffffffffffffffffffff00", 16},
          {1024, 7919});
}

TEST(APIntTest, divrem_big3) {
  // Tests KnuthDiv case without shift
  testDiv({256, "80000001ffffffffffffffff", 16},
          {256, "ffffffffffffff0000000", 16},
          {256, 4219});
}

TEST(APIntTest, divrem_big4) {
  // Tests heap allocation in divide() enfoced by huge numbers
  testDiv(APInt{4096, 5}.shl(2001),
          APInt{4096, 1}.shl(2000),
          APInt{4096, 4219*13});
}

TEST(APIntTest, divrem_big5) {
  // Tests one word divisor case of divide()
  testDiv(APInt{1024, 19}.shl(811),
          APInt{1024, 4356013}, // one word
          APInt{1024, 1});
}

TEST(APIntTest, divrem_big6) {
  // Tests some rare "borrow" cases in D4 step
  testDiv(APInt{512, "ffffffffffffffff00000000000000000000000001", 16},
          APInt{512, "10000000000000001000000000000001", 16},
          APInt{512, "10000000000000000000000000000000", 16});
}

TEST(APIntTest, divrem_big7) {
  // Yet another test for KnuthDiv rare step D6.
  testDiv({224, "800000008000000200000005", 16},
          {224, "fffffffd", 16},
          {224, "80000000800000010000000f", 16});
}

TEST(APIntTest, fromString) {
  EXPECT_EQ(APInt(32, 0), APInt(32,   "0", 2));
  EXPECT_EQ(APInt(32, 1), APInt(32,   "1", 2));
  EXPECT_EQ(APInt(32, 2), APInt(32,  "10", 2));
  EXPECT_EQ(APInt(32, 3), APInt(32,  "11", 2));
  EXPECT_EQ(APInt(32, 4), APInt(32, "100", 2));

  EXPECT_EQ(APInt(32, 0), APInt(32,   "+0", 2));
  EXPECT_EQ(APInt(32, 1), APInt(32,   "+1", 2));
  EXPECT_EQ(APInt(32, 2), APInt(32,  "+10", 2));
  EXPECT_EQ(APInt(32, 3), APInt(32,  "+11", 2));
  EXPECT_EQ(APInt(32, 4), APInt(32, "+100", 2));

  EXPECT_EQ(APInt(32, uint64_t(-0LL)), APInt(32,   "-0", 2));
  EXPECT_EQ(APInt(32, uint64_t(-1LL)), APInt(32,   "-1", 2));
  EXPECT_EQ(APInt(32, uint64_t(-2LL)), APInt(32,  "-10", 2));
  EXPECT_EQ(APInt(32, uint64_t(-3LL)), APInt(32,  "-11", 2));
  EXPECT_EQ(APInt(32, uint64_t(-4LL)), APInt(32, "-100", 2));


  EXPECT_EQ(APInt(32,  0), APInt(32,  "0",  8));
  EXPECT_EQ(APInt(32,  1), APInt(32,  "1",  8));
  EXPECT_EQ(APInt(32,  7), APInt(32,  "7",  8));
  EXPECT_EQ(APInt(32,  8), APInt(32,  "10", 8));
  EXPECT_EQ(APInt(32, 15), APInt(32,  "17", 8));
  EXPECT_EQ(APInt(32, 16), APInt(32,  "20", 8));

  EXPECT_EQ(APInt(32,  +0), APInt(32,  "+0",  8));
  EXPECT_EQ(APInt(32,  +1), APInt(32,  "+1",  8));
  EXPECT_EQ(APInt(32,  +7), APInt(32,  "+7",  8));
  EXPECT_EQ(APInt(32,  +8), APInt(32,  "+10", 8));
  EXPECT_EQ(APInt(32, +15), APInt(32,  "+17", 8));
  EXPECT_EQ(APInt(32, +16), APInt(32,  "+20", 8));

  EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0",  8));
  EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1",  8));
  EXPECT_EQ(APInt(32,  uint64_t(-7LL)), APInt(32,  "-7",  8));
  EXPECT_EQ(APInt(32,  uint64_t(-8LL)), APInt(32,  "-10", 8));
  EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-17", 8));
  EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32,  "-20", 8));


  EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 10));
  EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 10));
  EXPECT_EQ(APInt(32,  9), APInt(32,  "9", 10));
  EXPECT_EQ(APInt(32, 10), APInt(32, "10", 10));
  EXPECT_EQ(APInt(32, 19), APInt(32, "19", 10));
  EXPECT_EQ(APInt(32, 20), APInt(32, "20", 10));

  EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 10));
  EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 10));
  EXPECT_EQ(APInt(32,  uint64_t(-9LL)), APInt(32,  "-9", 10));
  EXPECT_EQ(APInt(32, uint64_t(-10LL)), APInt(32, "-10", 10));
  EXPECT_EQ(APInt(32, uint64_t(-19LL)), APInt(32, "-19", 10));
  EXPECT_EQ(APInt(32, uint64_t(-20LL)), APInt(32, "-20", 10));


  EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 16));
  EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 16));
  EXPECT_EQ(APInt(32, 15), APInt(32,  "F", 16));
  EXPECT_EQ(APInt(32, 16), APInt(32, "10", 16));
  EXPECT_EQ(APInt(32, 31), APInt(32, "1F", 16));
  EXPECT_EQ(APInt(32, 32), APInt(32, "20", 16));

  EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 16));
  EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 16));
  EXPECT_EQ(APInt(32, uint64_t(-15LL)), APInt(32,  "-F", 16));
  EXPECT_EQ(APInt(32, uint64_t(-16LL)), APInt(32, "-10", 16));
  EXPECT_EQ(APInt(32, uint64_t(-31LL)), APInt(32, "-1F", 16));
  EXPECT_EQ(APInt(32, uint64_t(-32LL)), APInt(32, "-20", 16));

  EXPECT_EQ(APInt(32,  0), APInt(32,  "0", 36));
  EXPECT_EQ(APInt(32,  1), APInt(32,  "1", 36));
  EXPECT_EQ(APInt(32, 35), APInt(32,  "Z", 36));
  EXPECT_EQ(APInt(32, 36), APInt(32, "10", 36));
  EXPECT_EQ(APInt(32, 71), APInt(32, "1Z", 36));
  EXPECT_EQ(APInt(32, 72), APInt(32, "20", 36));
  
  EXPECT_EQ(APInt(32,  uint64_t(-0LL)), APInt(32,  "-0", 36));
  EXPECT_EQ(APInt(32,  uint64_t(-1LL)), APInt(32,  "-1", 36));
  EXPECT_EQ(APInt(32, uint64_t(-35LL)), APInt(32,  "-Z", 36));
  EXPECT_EQ(APInt(32, uint64_t(-36LL)), APInt(32, "-10", 36));
  EXPECT_EQ(APInt(32, uint64_t(-71LL)), APInt(32, "-1Z", 36));
  EXPECT_EQ(APInt(32, uint64_t(-72LL)), APInt(32, "-20", 36));
}

TEST(APIntTest, FromArray) {
  EXPECT_EQ(APInt(32, uint64_t(1)), APInt(32, ArrayRef<uint64_t>(1)));
}

TEST(APIntTest, StringBitsNeeded2) {
  EXPECT_EQ(1U, APInt::getBitsNeeded(  "0", 2));
  EXPECT_EQ(1U, APInt::getBitsNeeded(  "1", 2));
  EXPECT_EQ(2U, APInt::getBitsNeeded( "10", 2));
  EXPECT_EQ(2U, APInt::getBitsNeeded( "11", 2));
  EXPECT_EQ(3U, APInt::getBitsNeeded("100", 2));

  EXPECT_EQ(1U, APInt::getBitsNeeded(  "+0", 2));
  EXPECT_EQ(1U, APInt::getBitsNeeded(  "+1", 2));
  EXPECT_EQ(2U, APInt::getBitsNeeded( "+10", 2));
  EXPECT_EQ(2U, APInt::getBitsNeeded( "+11", 2));
  EXPECT_EQ(3U, APInt::getBitsNeeded("+100", 2));

  EXPECT_EQ(2U, APInt::getBitsNeeded(  "-0", 2));
  EXPECT_EQ(2U, APInt::getBitsNeeded(  "-1", 2));
  EXPECT_EQ(3U, APInt::getBitsNeeded( "-10", 2));
  EXPECT_EQ(3U, APInt::getBitsNeeded( "-11", 2));
  EXPECT_EQ(4U, APInt::getBitsNeeded("-100", 2));
}

TEST(APIntTest, StringBitsNeeded8) {
  EXPECT_EQ(3U, APInt::getBitsNeeded( "0", 8));
  EXPECT_EQ(3U, APInt::getBitsNeeded( "7", 8));
  EXPECT_EQ(6U, APInt::getBitsNeeded("10", 8));
  EXPECT_EQ(6U, APInt::getBitsNeeded("17", 8));
  EXPECT_EQ(6U, APInt::getBitsNeeded("20", 8));

  EXPECT_EQ(3U, APInt::getBitsNeeded( "+0", 8));
  EXPECT_EQ(3U, APInt::getBitsNeeded( "+7", 8));
  EXPECT_EQ(6U, APInt::getBitsNeeded("+10", 8));
  EXPECT_EQ(6U, APInt::getBitsNeeded("+17", 8));
  EXPECT_EQ(6U, APInt::getBitsNeeded("+20", 8));

  EXPECT_EQ(4U, APInt::getBitsNeeded( "-0", 8));
  EXPECT_EQ(4U, APInt::getBitsNeeded( "-7", 8));
  EXPECT_EQ(7U, APInt::getBitsNeeded("-10", 8));
  EXPECT_EQ(7U, APInt::getBitsNeeded("-17", 8));
  EXPECT_EQ(7U, APInt::getBitsNeeded("-20", 8));
}

TEST(APIntTest, StringBitsNeeded10) {
  EXPECT_EQ(1U, APInt::getBitsNeeded( "0", 10));
  EXPECT_EQ(2U, APInt::getBitsNeeded( "3", 10));
  EXPECT_EQ(4U, APInt::getBitsNeeded( "9", 10));
  EXPECT_EQ(4U, APInt::getBitsNeeded("10", 10));
  EXPECT_EQ(5U, APInt::getBitsNeeded("19", 10));
  EXPECT_EQ(5U, APInt::getBitsNeeded("20", 10));

  EXPECT_EQ(1U, APInt::getBitsNeeded( "+0", 10));
  EXPECT_EQ(4U, APInt::getBitsNeeded( "+9", 10));
  EXPECT_EQ(4U, APInt::getBitsNeeded("+10", 10));
  EXPECT_EQ(5U, APInt::getBitsNeeded("+19", 10));
  EXPECT_EQ(5U, APInt::getBitsNeeded("+20", 10));

  EXPECT_EQ(2U, APInt::getBitsNeeded( "-0", 10));
  EXPECT_EQ(5U, APInt::getBitsNeeded( "-9", 10));
  EXPECT_EQ(5U, APInt::getBitsNeeded("-10", 10));
  EXPECT_EQ(6U, APInt::getBitsNeeded("-19", 10));
  EXPECT_EQ(6U, APInt::getBitsNeeded("-20", 10));
}

TEST(APIntTest, StringBitsNeeded16) {
  EXPECT_EQ(4U, APInt::getBitsNeeded( "0", 16));
  EXPECT_EQ(4U, APInt::getBitsNeeded( "F", 16));
  EXPECT_EQ(8U, APInt::getBitsNeeded("10", 16));
  EXPECT_EQ(8U, APInt::getBitsNeeded("1F", 16));
  EXPECT_EQ(8U, APInt::getBitsNeeded("20", 16));

  EXPECT_EQ(4U, APInt::getBitsNeeded( "+0", 16));
  EXPECT_EQ(4U, APInt::getBitsNeeded( "+F", 16));
  EXPECT_EQ(8U, APInt::getBitsNeeded("+10", 16));
  EXPECT_EQ(8U, APInt::getBitsNeeded("+1F", 16));
  EXPECT_EQ(8U, APInt::getBitsNeeded("+20", 16));

  EXPECT_EQ(5U, APInt::getBitsNeeded( "-0", 16));
  EXPECT_EQ(5U, APInt::getBitsNeeded( "-F", 16));
  EXPECT_EQ(9U, APInt::getBitsNeeded("-10", 16));
  EXPECT_EQ(9U, APInt::getBitsNeeded("-1F", 16));
  EXPECT_EQ(9U, APInt::getBitsNeeded("-20", 16));
}

TEST(APIntTest, toString) {
  SmallString<16> S;
  bool isSigned;

  APInt(8, 0).toString(S, 2, true, true);
  EXPECT_EQ(S.str().str(), "0b0");
  S.clear();
  APInt(8, 0).toString(S, 8, true, true);
  EXPECT_EQ(S.str().str(), "00");
  S.clear();
  APInt(8, 0).toString(S, 10, true, true);
  EXPECT_EQ(S.str().str(), "0");
  S.clear();
  APInt(8, 0).toString(S, 16, true, true);
  EXPECT_EQ(S.str().str(), "0x0");
  S.clear();
  APInt(8, 0).toString(S, 36, true, false);
  EXPECT_EQ(S.str().str(), "0");
  S.clear();

  isSigned = false;
  APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
  EXPECT_EQ(S.str().str(), "0b11111111");
  S.clear();
  APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
  EXPECT_EQ(S.str().str(), "0377");
  S.clear();
  APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
  EXPECT_EQ(S.str().str(), "255");
  S.clear();
  APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
  EXPECT_EQ(S.str().str(), "0xFF");
  S.clear();
  APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
  EXPECT_EQ(S.str().str(), "73");
  S.clear();

  isSigned = true;
  APInt(8, 255, isSigned).toString(S, 2, isSigned, true);
  EXPECT_EQ(S.str().str(), "-0b1");
  S.clear();
  APInt(8, 255, isSigned).toString(S, 8, isSigned, true);
  EXPECT_EQ(S.str().str(), "-01");
  S.clear();
  APInt(8, 255, isSigned).toString(S, 10, isSigned, true);
  EXPECT_EQ(S.str().str(), "-1");
  S.clear();
  APInt(8, 255, isSigned).toString(S, 16, isSigned, true);
  EXPECT_EQ(S.str().str(), "-0x1");
  S.clear();
  APInt(8, 255, isSigned).toString(S, 36, isSigned, false);
  EXPECT_EQ(S.str().str(), "-1");
  S.clear();
}

TEST(APIntTest, Log2) {
  EXPECT_EQ(APInt(15, 7).logBase2(), 2U);
  EXPECT_EQ(APInt(15, 7).ceilLogBase2(), 3U);
  EXPECT_EQ(APInt(15, 7).exactLogBase2(), -1);
  EXPECT_EQ(APInt(15, 8).logBase2(), 3U);
  EXPECT_EQ(APInt(15, 8).ceilLogBase2(), 3U);
  EXPECT_EQ(APInt(15, 8).exactLogBase2(), 3);
  EXPECT_EQ(APInt(15, 9).logBase2(), 3U);
  EXPECT_EQ(APInt(15, 9).ceilLogBase2(), 4U);
  EXPECT_EQ(APInt(15, 9).exactLogBase2(), -1);
}

TEST(APIntTest, magic) {
  EXPECT_EQ(APInt(32, 3).magic().m, APInt(32, "55555556", 16));
  EXPECT_EQ(APInt(32, 3).magic().s, 0U);
  EXPECT_EQ(APInt(32, 5).magic().m, APInt(32, "66666667", 16));
  EXPECT_EQ(APInt(32, 5).magic().s, 1U);
  EXPECT_EQ(APInt(32, 7).magic().m, APInt(32, "92492493", 16));
  EXPECT_EQ(APInt(32, 7).magic().s, 2U);
}

TEST(APIntTest, magicu) {
  EXPECT_EQ(APInt(32, 3).magicu().m, APInt(32, "AAAAAAAB", 16));
  EXPECT_EQ(APInt(32, 3).magicu().s, 1U);
  EXPECT_EQ(APInt(32, 5).magicu().m, APInt(32, "CCCCCCCD", 16));
  EXPECT_EQ(APInt(32, 5).magicu().s, 2U);
  EXPECT_EQ(APInt(32, 7).magicu().m, APInt(32, "24924925", 16));
  EXPECT_EQ(APInt(32, 7).magicu().s, 3U);
  EXPECT_EQ(APInt(64, 25).magicu(1).m, APInt(64, "A3D70A3D70A3D70B", 16));
  EXPECT_EQ(APInt(64, 25).magicu(1).s, 4U);
}

#ifdef GTEST_HAS_DEATH_TEST
#ifndef NDEBUG
TEST(APIntTest, StringDeath) {
  EXPECT_DEATH(APInt(0, "", 0), "Bitwidth too small");
  EXPECT_DEATH(APInt(32, "", 0), "Invalid string length");
  EXPECT_DEATH(APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
  EXPECT_DEATH(APInt(32, "", 10), "Invalid string length");
  EXPECT_DEATH(APInt(32, "-", 10), "String is only a sign, needs a value.");
  EXPECT_DEATH(APInt(1, "1234", 10), "Insufficient bit width");
  EXPECT_DEATH(APInt(32, "\0", 10), "Invalid string length");
  EXPECT_DEATH(APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
  EXPECT_DEATH(APInt(32, "1L", 10), "Invalid character in digit string");
}
#endif
#endif

TEST(APIntTest, mul_clear) {
  APInt ValA(65, -1ULL);
  APInt ValB(65, 4);
  APInt ValC(65, 0);
  ValC = ValA * ValB;
  ValA *= ValB;
  EXPECT_EQ(ValA.toString(10, false), ValC.toString(10, false));
}

TEST(APIntTest, Rotate) {
  EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(0));
  EXPECT_EQ(APInt(8, 2),  APInt(8, 1).rotl(1));
  EXPECT_EQ(APInt(8, 4),  APInt(8, 1).rotl(2));
  EXPECT_EQ(APInt(8, 16), APInt(8, 1).rotl(4));
  EXPECT_EQ(APInt(8, 1),  APInt(8, 1).rotl(8));

  EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(0));
  EXPECT_EQ(APInt(8, 32), APInt(8, 16).rotl(1));
  EXPECT_EQ(APInt(8, 64), APInt(8, 16).rotl(2));
  EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotl(4));
  EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotl(8));

  EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(0));
  EXPECT_EQ(APInt(8, 8),  APInt(8, 16).rotr(1));
  EXPECT_EQ(APInt(8, 4),  APInt(8, 16).rotr(2));
  EXPECT_EQ(APInt(8, 1),  APInt(8, 16).rotr(4));
  EXPECT_EQ(APInt(8, 16), APInt(8, 16).rotr(8));

  EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(0));
  EXPECT_EQ(APInt(8, 128), APInt(8, 1).rotr(1));
  EXPECT_EQ(APInt(8, 64),  APInt(8, 1).rotr(2));
  EXPECT_EQ(APInt(8, 16),  APInt(8, 1).rotr(4));
  EXPECT_EQ(APInt(8, 1),   APInt(8, 1).rotr(8));

  APInt Big(256, "00004000800000000000000000003fff8000000000000000", 16);
  APInt Rot(256, "3fff80000000000000000000000000000000000040008000", 16);
  EXPECT_EQ(Rot, Big.rotr(144));
}

TEST(APIntTest, Splat) {
  APInt ValA(8, 0x01);
  EXPECT_EQ(ValA, APInt::getSplat(8, ValA));
  EXPECT_EQ(APInt(64, 0x0101010101010101ULL), APInt::getSplat(64, ValA));

  APInt ValB(3, 5);
  EXPECT_EQ(APInt(4, 0xD), APInt::getSplat(4, ValB));
  EXPECT_EQ(APInt(15, 0xDB6D), APInt::getSplat(15, ValB));
}

TEST(APIntTest, tcDecrement) {
  // Test single word decrement.

  // No out borrow.
  {
    integerPart singleWord = ~integerPart(0) << (integerPartWidth - 1);
    integerPart carry = APInt::tcDecrement(&singleWord, 1);
    EXPECT_EQ(carry, integerPart(0));
    EXPECT_EQ(singleWord, ~integerPart(0) >> 1);
  }

  // With out borrow.
  {
    integerPart singleWord = 0;
    integerPart carry = APInt::tcDecrement(&singleWord, 1);
    EXPECT_EQ(carry, integerPart(1));
    EXPECT_EQ(singleWord, ~integerPart(0));
  }

  // Test multiword decrement.

  // No across word borrow, no out borrow.
  {
    integerPart test[4] = {0x1, 0x1, 0x1, 0x1};
    integerPart expected[4] = {0x0, 0x1, 0x1, 0x1};
    APInt::tcDecrement(test, 4);
    EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
  }

  // 1 across word borrow, no out borrow.
  {
    integerPart test[4] = {0x0, 0xF, 0x1, 0x1};
    integerPart expected[4] = {~integerPart(0), 0xE, 0x1, 0x1};
    integerPart carry = APInt::tcDecrement(test, 4);
    EXPECT_EQ(carry, integerPart(0));
    EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
  }

  // 2 across word borrow, no out borrow.
  {
    integerPart test[4] = {0x0, 0x0, 0xC, 0x1};
    integerPart expected[4] = {~integerPart(0), ~integerPart(0), 0xB, 0x1};
    integerPart carry = APInt::tcDecrement(test, 4);
    EXPECT_EQ(carry, integerPart(0));
    EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
  }

  // 3 across word borrow, no out borrow.
  {
    integerPart test[4] = {0x0, 0x0, 0x0, 0x1};
    integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), 0x0};
    integerPart carry = APInt::tcDecrement(test, 4);
    EXPECT_EQ(carry, integerPart(0));
    EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
  }

  // 3 across word borrow, with out borrow.
  {
    integerPart test[4] = {0x0, 0x0, 0x0, 0x0};
    integerPart expected[4] = {~integerPart(0), ~integerPart(0), ~integerPart(0), ~integerPart(0)};
    integerPart carry = APInt::tcDecrement(test, 4);
    EXPECT_EQ(carry, integerPart(1));
    EXPECT_EQ(APInt::tcCompare(test, expected, 4), 0);
  }
}

TEST(APIntTest, arrayAccess) {
  // Single word check.
  uint64_t E1 = 0x2CA7F46BF6569915ULL;
  APInt A1(64, E1);
  for (unsigned i = 0, e = 64; i < e; ++i) {
    EXPECT_EQ(bool(E1 & (1ULL << i)),
              A1[i]);
  }

  // Multiword check.
  integerPart E2[4] = {
    0xEB6EB136591CBA21ULL,
    0x7B9358BD6A33F10AULL,
    0x7E7FFA5EADD8846ULL,
    0x305F341CA00B613DULL
  };
  APInt A2(integerPartWidth*4, E2);
  for (unsigned i = 0; i < 4; ++i) {
    for (unsigned j = 0; j < integerPartWidth; ++j) {
      EXPECT_EQ(bool(E2[i] & (1ULL << j)),
                A2[i*integerPartWidth + j]);
    }
  }
}

TEST(APIntTest, LargeAPIntConstruction) {
  // Check that we can properly construct very large APInt. It is very
  // unlikely that people will ever do this, but it is a legal input,
  // so we should not crash on it.
  APInt A9(UINT32_MAX, 0);
  EXPECT_FALSE(A9.getBoolValue());
}

TEST(APIntTest, nearestLogBase2) {
  // Single word check.

  // Test round up.
  uint64_t I1 = 0x1800001;
  APInt A1(64, I1);
  EXPECT_EQ(A1.nearestLogBase2(), A1.ceilLogBase2());

  // Test round down.
  uint64_t I2 = 0x1000011;
  APInt A2(64, I2);
  EXPECT_EQ(A2.nearestLogBase2(), A2.logBase2());

  // Test ties round up.
  uint64_t I3 = 0x1800000;
  APInt A3(64, I3);
  EXPECT_EQ(A3.nearestLogBase2(), A3.ceilLogBase2());

  // Multiple word check.

  // Test round up.
  integerPart I4[4] = {0x0, 0xF, 0x18, 0x0};
  APInt A4(integerPartWidth*4, I4);
  EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());

  // Test round down.
  integerPart I5[4] = {0x0, 0xF, 0x10, 0x0};
  APInt A5(integerPartWidth*4, I5);
  EXPECT_EQ(A5.nearestLogBase2(), A5.logBase2());

  // Test ties round up.
  uint64_t I6[4] = {0x0, 0x0, 0x0, 0x18};
  APInt A6(integerPartWidth*4, I6);
  EXPECT_EQ(A6.nearestLogBase2(), A6.ceilLogBase2());

  // Test BitWidth == 1 special cases.
  APInt A7(1, 1);
  EXPECT_EQ(A7.nearestLogBase2(), 0ULL);
  APInt A8(1, 0);
  EXPECT_EQ(A8.nearestLogBase2(), UINT32_MAX);

  // Test the zero case when we have a bit width large enough such
  // that the bit width is larger than UINT32_MAX-1.
  APInt A9(UINT32_MAX, 0);
  EXPECT_EQ(A9.nearestLogBase2(), UINT32_MAX);
}

TEST(APIntTest, IsSplat) {
  APInt A(32, 0x01010101);
  EXPECT_FALSE(A.isSplat(1));
  EXPECT_FALSE(A.isSplat(2));
  EXPECT_FALSE(A.isSplat(4));
  EXPECT_TRUE(A.isSplat(8));
  EXPECT_TRUE(A.isSplat(16));
  EXPECT_TRUE(A.isSplat(32));

  APInt B(24, 0xAAAAAA);
  EXPECT_FALSE(B.isSplat(1));
  EXPECT_TRUE(B.isSplat(2));
  EXPECT_TRUE(B.isSplat(4));
  EXPECT_TRUE(B.isSplat(8));
  EXPECT_TRUE(B.isSplat(24));

  APInt C(24, 0xABAAAB);
  EXPECT_FALSE(C.isSplat(1));
  EXPECT_FALSE(C.isSplat(2));
  EXPECT_FALSE(C.isSplat(4));
  EXPECT_FALSE(C.isSplat(8));
  EXPECT_TRUE(C.isSplat(24));

  APInt D(32, 0xABBAABBA);
  EXPECT_FALSE(D.isSplat(1));
  EXPECT_FALSE(D.isSplat(2));
  EXPECT_FALSE(D.isSplat(4));
  EXPECT_FALSE(D.isSplat(8));
  EXPECT_TRUE(D.isSplat(16));
  EXPECT_TRUE(D.isSplat(32));

  APInt E(32, 0);
  EXPECT_TRUE(E.isSplat(1));
  EXPECT_TRUE(E.isSplat(2));
  EXPECT_TRUE(E.isSplat(4));
  EXPECT_TRUE(E.isSplat(8));
  EXPECT_TRUE(E.isSplat(16));
  EXPECT_TRUE(E.isSplat(32));
}

#if defined(__clang__)
// Disable the pragma warning from versions of Clang without -Wself-move
#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wunknown-pragmas"
// Disable the warning that triggers on exactly what is being tested.
#pragma clang diagnostic push
#pragma clang diagnostic ignored "-Wself-move"
#endif
TEST(APIntTest, SelfMoveAssignment) {
  APInt X(32, 0xdeadbeef);
  X = std::move(X);
  EXPECT_EQ(32u, X.getBitWidth());
  EXPECT_EQ(0xdeadbeefULL, X.getLimitedValue());

  uint64_t Bits[] = {0xdeadbeefdeadbeefULL, 0xdeadbeefdeadbeefULL};
  APInt Y(128, Bits);
  Y = std::move(Y);
  EXPECT_EQ(128u, Y.getBitWidth());
  EXPECT_EQ(~0ULL, Y.getLimitedValue());
  const uint64_t *Raw = Y.getRawData();
  EXPECT_EQ(2u, Y.getNumWords());
  EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[0]);
  EXPECT_EQ(0xdeadbeefdeadbeefULL, Raw[1]);
}
#if defined(__clang__)
#pragma clang diagnostic pop
#pragma clang diagnostic pop
#endif
}