llvm/unittests/ADT/APIntTest.cpp

//===- llvm/unittest/ADT/APInt.cpp - APInt unit tests ---------------------===//
//
// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
// See https://llvm.org/LICENSE.txt for license information.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
//
//===----------------------------------------------------------------------===//

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

using namespace llvm;

namespace {

TEST(APIntTest, ValueInit) {
  APInt Zero = APInt();
  EXPECT_TRUE(!Zero);
  EXPECT_TRUE(!Zero.zext(64));
  EXPECT_TRUE(!Zero.sext(64));
}

// 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, i64_ArithmeticRightShiftNegative) {
  const APInt neg_one(64, static_cast<uint64_t>(-1), true);
  EXPECT_EQ(neg_one, neg_one.ashr(7));
}

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());
}

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());
}

TEST(APIntTest, i61_Count) {
  APInt i61(61, 1 << 15);
  EXPECT_EQ(45u, i61.countLeadingZeros());
  EXPECT_EQ(0u, i61.countLeadingOnes());
  EXPECT_EQ(16u, i61.getActiveBits());
  EXPECT_EQ(15u, i61.countTrailingZeros());
  EXPECT_EQ(1u, i61.countPopulation());
  EXPECT_EQ(static_cast<int64_t>(1 << 15), i61.getSExtValue());
  EXPECT_EQ(static_cast<uint64_t>(1 << 15), i61.getZExtValue());

  i61.setBits(8, 19);
  EXPECT_EQ(42u, i61.countLeadingZeros());
  EXPECT_EQ(0u, i61.countLeadingOnes());
  EXPECT_EQ(19u, i61.getActiveBits());
  EXPECT_EQ(8u, i61.countTrailingZeros());
  EXPECT_EQ(11u, i61.countPopulation());
  EXPECT_EQ(static_cast<int64_t>((1 << 19) - (1 << 8)), i61.getSExtValue());
  EXPECT_EQ(static_cast<uint64_t>((1 << 19) - (1 << 8)), i61.getZExtValue());
}

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());

  APInt s128(128, 2, true);
  EXPECT_EQ(126u, s128.countLeadingZeros());
  EXPECT_EQ(0u, s128.countLeadingOnes());
  EXPECT_EQ(2u, s128.getActiveBits());
  EXPECT_EQ(1u, s128.countTrailingZeros());
  EXPECT_EQ(0u, s128.countTrailingOnes());
  EXPECT_EQ(1u, s128.countPopulation());
  EXPECT_EQ(2, s128.getSExtValue());
  EXPECT_EQ(2u, s128.getZExtValue());

  // NOP Test
  s128.setBits(42, 42);
  EXPECT_EQ(126u, s128.countLeadingZeros());
  EXPECT_EQ(0u, s128.countLeadingOnes());
  EXPECT_EQ(2u, s128.getActiveBits());
  EXPECT_EQ(1u, s128.countTrailingZeros());
  EXPECT_EQ(0u, s128.countTrailingOnes());
  EXPECT_EQ(1u, s128.countPopulation());
  EXPECT_EQ(2, s128.getSExtValue());
  EXPECT_EQ(2u, s128.getZExtValue());

  s128.setBits(3, 32);
  EXPECT_EQ(96u, s128.countLeadingZeros());
  EXPECT_EQ(0u, s128.countLeadingOnes());
  EXPECT_EQ(32u, s128.getActiveBits());
  EXPECT_EQ(33u, s128.getMinSignedBits());
  EXPECT_EQ(1u, s128.countTrailingZeros());
  EXPECT_EQ(0u, s128.countTrailingOnes());
  EXPECT_EQ(30u, s128.countPopulation());
  EXPECT_EQ(static_cast<uint32_t>((~0u << 3) | 2), s128.getZExtValue());

  s128.setBits(62, 128);
  EXPECT_EQ(0u, s128.countLeadingZeros());
  EXPECT_EQ(66u, s128.countLeadingOnes());
  EXPECT_EQ(128u, s128.getActiveBits());
  EXPECT_EQ(63u, s128.getMinSignedBits());
  EXPECT_EQ(1u, s128.countTrailingZeros());
  EXPECT_EQ(0u, s128.countTrailingOnes());
  EXPECT_EQ(96u, s128.countPopulation());
  EXPECT_EQ(static_cast<int64_t>((3ull << 62) |
                                 static_cast<uint32_t>((~0u << 3) | 2)),
            s128.getSExtValue());
}

TEST(APIntTest, i256) {
  APInt s256(256, 15, true);
  EXPECT_EQ(252u, s256.countLeadingZeros());
  EXPECT_EQ(0u, s256.countLeadingOnes());
  EXPECT_EQ(4u, s256.getActiveBits());
  EXPECT_EQ(0u, s256.countTrailingZeros());
  EXPECT_EQ(4u, s256.countTrailingOnes());
  EXPECT_EQ(4u, s256.countPopulation());
  EXPECT_EQ(15, s256.getSExtValue());
  EXPECT_EQ(15u, s256.getZExtValue());

  s256.setBits(62, 66);
  EXPECT_EQ(190u, s256.countLeadingZeros());
  EXPECT_EQ(0u, s256.countLeadingOnes());
  EXPECT_EQ(66u, s256.getActiveBits());
  EXPECT_EQ(67u, s256.getMinSignedBits());
  EXPECT_EQ(0u, s256.countTrailingZeros());
  EXPECT_EQ(4u, s256.countTrailingOnes());
  EXPECT_EQ(8u, s256.countPopulation());

  s256.setBits(60, 256);
  EXPECT_EQ(0u, s256.countLeadingZeros());
  EXPECT_EQ(196u, s256.countLeadingOnes());
  EXPECT_EQ(256u, s256.getActiveBits());
  EXPECT_EQ(61u, s256.getMinSignedBits());
  EXPECT_EQ(0u, s256.countTrailingZeros());
  EXPECT_EQ(4u, s256.countTrailingOnes());
  EXPECT_EQ(200u, s256.countPopulation());
  EXPECT_EQ(static_cast<int64_t>((~0ull << 60) | 15), s256.getSExtValue());
}

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);

  // And
  EXPECT_EQ(zero, zero & zero);
  EXPECT_EQ(zero, one & zero);
  EXPECT_EQ(zero, zero & one);
  EXPECT_EQ(one, one & one);
  EXPECT_EQ(zero, zero & zero);
  EXPECT_EQ(zero, neg_one & zero);
  EXPECT_EQ(zero, zero & neg_one);
  EXPECT_EQ(neg_one, neg_one & neg_one);

  // Or
  EXPECT_EQ(zero, zero | zero);
  EXPECT_EQ(one, one | zero);
  EXPECT_EQ(one, zero | one);
  EXPECT_EQ(one, one | one);
  EXPECT_EQ(zero, zero | zero);
  EXPECT_EQ(neg_one, neg_one | zero);
  EXPECT_EQ(neg_one, zero | neg_one);
  EXPECT_EQ(neg_one, neg_one | neg_one);

  // Xor
  EXPECT_EQ(zero, zero ^ zero);
  EXPECT_EQ(one, one ^ zero);
  EXPECT_EQ(one, zero ^ one);
  EXPECT_EQ(zero, one ^ one);
  EXPECT_EQ(zero, zero ^ zero);
  EXPECT_EQ(neg_one, neg_one ^ zero);
  EXPECT_EQ(neg_one, zero ^ neg_one);
  EXPECT_EQ(zero, neg_one ^ neg_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(one, 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));
    }
}

TEST(APIntTest, compareWithRawIntegers) {
  EXPECT_TRUE(!APInt(8, 1).uge(256));
  EXPECT_TRUE(!APInt(8, 1).ugt(256));
  EXPECT_TRUE( APInt(8, 1).ule(256));
  EXPECT_TRUE( APInt(8, 1).ult(256));
  EXPECT_TRUE(!APInt(8, 1).sge(256));
  EXPECT_TRUE(!APInt(8, 1).sgt(256));
  EXPECT_TRUE( APInt(8, 1).sle(256));
  EXPECT_TRUE( APInt(8, 1).slt(256));
  EXPECT_TRUE(!(APInt(8, 0) == 256));
  EXPECT_TRUE(  APInt(8, 0) != 256);
  EXPECT_TRUE(!(APInt(8, 1) == 256));
  EXPECT_TRUE(  APInt(8, 1) != 256);

  auto uint64max = UINT64_MAX;
  auto int64max  = INT64_MAX;
  auto int64min  = INT64_MIN;

  auto u64 = APInt{128, uint64max};
  auto s64 = APInt{128, static_cast<uint64_t>(int64max), true};
  auto big = u64 + 1;

  EXPECT_TRUE( u64.uge(uint64max));
  EXPECT_TRUE(!u64.ugt(uint64max));
  EXPECT_TRUE( u64.ule(uint64max));
  EXPECT_TRUE(!u64.ult(uint64max));
  EXPECT_TRUE( u64.sge(int64max));
  EXPECT_TRUE( u64.sgt(int64max));
  EXPECT_TRUE(!u64.sle(int64max));
  EXPECT_TRUE(!u64.slt(int64max));
  EXPECT_TRUE( u64.sge(int64min));
  EXPECT_TRUE( u64.sgt(int64min));
  EXPECT_TRUE(!u64.sle(int64min));
  EXPECT_TRUE(!u64.slt(int64min));

  EXPECT_TRUE(u64 == uint64max);
  EXPECT_TRUE(u64 != int64max);
  EXPECT_TRUE(u64 != int64min);

  EXPECT_TRUE(!s64.uge(uint64max));
  EXPECT_TRUE(!s64.ugt(uint64max));
  EXPECT_TRUE( s64.ule(uint64max));
  EXPECT_TRUE( s64.ult(uint64max));
  EXPECT_TRUE( s64.sge(int64max));
  EXPECT_TRUE(!s64.sgt(int64max));
  EXPECT_TRUE( s64.sle(int64max));
  EXPECT_TRUE(!s64.slt(int64max));
  EXPECT_TRUE( s64.sge(int64min));
  EXPECT_TRUE( s64.sgt(int64min));
  EXPECT_TRUE(!s64.sle(int64min));
  EXPECT_TRUE(!s64.slt(int64min));

  EXPECT_TRUE(s64 != uint64max);
  EXPECT_TRUE(s64 == int64max);
  EXPECT_TRUE(s64 != int64min);

  EXPECT_TRUE( big.uge(uint64max));
  EXPECT_TRUE( big.ugt(uint64max));
  EXPECT_TRUE(!big.ule(uint64max));
  EXPECT_TRUE(!big.ult(uint64max));
  EXPECT_TRUE( big.sge(int64max));
  EXPECT_TRUE( big.sgt(int64max));
  EXPECT_TRUE(!big.sle(int64max));
  EXPECT_TRUE(!big.slt(int64max));
  EXPECT_TRUE( big.sge(int64min));
  EXPECT_TRUE( big.sgt(int64min));
  EXPECT_TRUE(!big.sle(int64min));
  EXPECT_TRUE(!big.slt(int64min));

  EXPECT_TRUE(big != uint64max);
  EXPECT_TRUE(big != int64max);
  EXPECT_TRUE(big != int64min);
}

TEST(APIntTest, compareWithInt64Min) {
  int64_t edge = INT64_MIN;
  int64_t edgeP1 = edge + 1;
  int64_t edgeM1 = INT64_MAX;
  auto a = APInt{64, static_cast<uint64_t>(edge), true};

  EXPECT_TRUE(!a.slt(edge));
  EXPECT_TRUE( a.sle(edge));
  EXPECT_TRUE(!a.sgt(edge));
  EXPECT_TRUE( a.sge(edge));
  EXPECT_TRUE( a.slt(edgeP1));
  EXPECT_TRUE( a.sle(edgeP1));
  EXPECT_TRUE(!a.sgt(edgeP1));
  EXPECT_TRUE(!a.sge(edgeP1));
  EXPECT_TRUE( a.slt(edgeM1));
  EXPECT_TRUE( a.sle(edgeM1));
  EXPECT_TRUE(!a.sgt(edgeM1));
  EXPECT_TRUE(!a.sge(edgeM1));
}

TEST(APIntTest, compareWithHalfInt64Max) {
  uint64_t edge = 0x4000000000000000;
  uint64_t edgeP1 = edge + 1;
  uint64_t edgeM1 = edge - 1;
  auto a = APInt{64, edge};

  EXPECT_TRUE(!a.ult(edge));
  EXPECT_TRUE( a.ule(edge));
  EXPECT_TRUE(!a.ugt(edge));
  EXPECT_TRUE( a.uge(edge));
  EXPECT_TRUE( a.ult(edgeP1));
  EXPECT_TRUE( a.ule(edgeP1));
  EXPECT_TRUE(!a.ugt(edgeP1));
  EXPECT_TRUE(!a.uge(edgeP1));
  EXPECT_TRUE(!a.ult(edgeM1));
  EXPECT_TRUE(!a.ule(edgeM1));
  EXPECT_TRUE( a.ugt(edgeM1));
  EXPECT_TRUE( a.uge(edgeM1));

  EXPECT_TRUE(!a.slt(edge));
  EXPECT_TRUE( a.sle(edge));
  EXPECT_TRUE(!a.sgt(edge));
  EXPECT_TRUE( a.sge(edge));
  EXPECT_TRUE( a.slt(edgeP1));
  EXPECT_TRUE( a.sle(edgeP1));
  EXPECT_TRUE(!a.sgt(edgeP1));
  EXPECT_TRUE(!a.sge(edgeP1));
  EXPECT_TRUE(!a.slt(edgeM1));
  EXPECT_TRUE(!a.sle(edgeM1));
  EXPECT_TRUE( a.sgt(edgeM1));
  EXPECT_TRUE( a.sge(edgeM1));
}

TEST(APIntTest, compareLargeIntegers) {
  // Make sure all the combinations of signed comparisons work with big ints.
  auto One = APInt{128, static_cast<uint64_t>(1), true};
  auto Two = APInt{128, static_cast<uint64_t>(2), true};
  auto MinusOne = APInt{128, static_cast<uint64_t>(-1), true};
  auto MinusTwo = APInt{128, static_cast<uint64_t>(-2), true};

  EXPECT_TRUE(!One.slt(One));
  EXPECT_TRUE(!Two.slt(One));
  EXPECT_TRUE(MinusOne.slt(One));
  EXPECT_TRUE(MinusTwo.slt(One));

  EXPECT_TRUE(One.slt(Two));
  EXPECT_TRUE(!Two.slt(Two));
  EXPECT_TRUE(MinusOne.slt(Two));
  EXPECT_TRUE(MinusTwo.slt(Two));

  EXPECT_TRUE(!One.slt(MinusOne));
  EXPECT_TRUE(!Two.slt(MinusOne));
  EXPECT_TRUE(!MinusOne.slt(MinusOne));
  EXPECT_TRUE(MinusTwo.slt(MinusOne));

  EXPECT_TRUE(!One.slt(MinusTwo));
  EXPECT_TRUE(!Two.slt(MinusTwo));
  EXPECT_TRUE(!MinusOne.slt(MinusTwo));
  EXPECT_TRUE(!MinusTwo.slt(MinusTwo));
}

TEST(APIntTest, binaryOpsWithRawIntegers) {
  // Single word check.
  uint64_t E1 = 0x2CA7F46BF6569915ULL;
  APInt A1(64, E1);

  EXPECT_EQ(A1 & E1, E1);
  EXPECT_EQ(A1 & 0, 0);
  EXPECT_EQ(A1 & 1, 1);
  EXPECT_EQ(A1 & 5, 5);
  EXPECT_EQ(A1 & UINT64_MAX, E1);

  EXPECT_EQ(A1 | E1, E1);
  EXPECT_EQ(A1 | 0, E1);
  EXPECT_EQ(A1 | 1, E1);
  EXPECT_EQ(A1 | 2, E1 | 2);
  EXPECT_EQ(A1 | UINT64_MAX, UINT64_MAX);

  EXPECT_EQ(A1 ^ E1, 0);
  EXPECT_EQ(A1 ^ 0, E1);
  EXPECT_EQ(A1 ^ 1, E1 ^ 1);
  EXPECT_EQ(A1 ^ 7, E1 ^ 7);
  EXPECT_EQ(A1 ^ UINT64_MAX, ~E1);

  // Multiword check.
  uint64_t N = 0xEB6EB136591CBA21ULL;
  APInt::WordType E2[4] = {
    N,
    0x7B9358BD6A33F10AULL,
    0x7E7FFA5EADD8846ULL,
    0x305F341CA00B613DULL
  };
  APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);

  EXPECT_EQ(A2 & N, N);
  EXPECT_EQ(A2 & 0, 0);
  EXPECT_EQ(A2 & 1, 1);
  EXPECT_EQ(A2 & 5, 1);
  EXPECT_EQ(A2 & UINT64_MAX, N);

  EXPECT_EQ(A2 | N, A2);
  EXPECT_EQ(A2 | 0, A2);
  EXPECT_EQ(A2 | 1, A2);
  EXPECT_EQ(A2 | 2, A2 + 2);
  EXPECT_EQ(A2 | UINT64_MAX, A2 - N + UINT64_MAX);

  EXPECT_EQ(A2 ^ N, A2 - N);
  EXPECT_EQ(A2 ^ 0, A2);
  EXPECT_EQ(A2 ^ 1, A2 - 1);
  EXPECT_EQ(A2 ^ 7, A2 + 5);
  EXPECT_EQ(A2 ^ UINT64_MAX, A2 - N + ~N);
}

TEST(APIntTest, rvalue_arithmetic) {
  // Test all combinations of lvalue/rvalue lhs/rhs of add/sub

  // Lamdba to return an APInt by value, but also provide the raw value of the
  // allocated data.
  auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
    APInt V(129, HexString, 16);
    RawData = V.getRawData();
    return V;
  };

  APInt One(129, "1", 16);
  APInt Two(129, "2", 16);
  APInt Three(129, "3", 16);
  APInt MinusOne = -One;

  const uint64_t *RawDataL = nullptr;
  const uint64_t *RawDataR = nullptr;

  {
    // 1 + 1 = 2
    APInt AddLL = One + One;
    EXPECT_EQ(AddLL, Two);

    APInt AddLR = One + getRValue("1", RawDataR);
    EXPECT_EQ(AddLR, Two);
    EXPECT_EQ(AddLR.getRawData(), RawDataR);

    APInt AddRL = getRValue("1", RawDataL) + One;
    EXPECT_EQ(AddRL, Two);
    EXPECT_EQ(AddRL.getRawData(), RawDataL);

    APInt AddRR = getRValue("1", RawDataL) + getRValue("1", RawDataR);
    EXPECT_EQ(AddRR, Two);
    EXPECT_EQ(AddRR.getRawData(), RawDataR);

    // LValue's and constants
    APInt AddLK = One + 1;
    EXPECT_EQ(AddLK, Two);

    APInt AddKL = 1 + One;
    EXPECT_EQ(AddKL, Two);

    // RValue's and constants
    APInt AddRK = getRValue("1", RawDataL) + 1;
    EXPECT_EQ(AddRK, Two);
    EXPECT_EQ(AddRK.getRawData(), RawDataL);

    APInt AddKR = 1 + getRValue("1", RawDataR);
    EXPECT_EQ(AddKR, Two);
    EXPECT_EQ(AddKR.getRawData(), RawDataR);
  }

  {
    // 0x0,FFFF...FFFF + 0x2 = 0x100...0001
    APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
    APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);

    APInt AddLL = AllOnes + Two;
    EXPECT_EQ(AddLL, HighOneLowOne);

    APInt AddLR = AllOnes + getRValue("2", RawDataR);
    EXPECT_EQ(AddLR, HighOneLowOne);
    EXPECT_EQ(AddLR.getRawData(), RawDataR);

    APInt AddRL = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + Two;
    EXPECT_EQ(AddRL, HighOneLowOne);
    EXPECT_EQ(AddRL.getRawData(), RawDataL);

    APInt AddRR = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) +
                  getRValue("2", RawDataR);
    EXPECT_EQ(AddRR, HighOneLowOne);
    EXPECT_EQ(AddRR.getRawData(), RawDataR);

    // LValue's and constants
    APInt AddLK = AllOnes + 2;
    EXPECT_EQ(AddLK, HighOneLowOne);

    APInt AddKL = 2 + AllOnes;
    EXPECT_EQ(AddKL, HighOneLowOne);

    // RValue's and constants
    APInt AddRK = getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataL) + 2;
    EXPECT_EQ(AddRK, HighOneLowOne);
    EXPECT_EQ(AddRK.getRawData(), RawDataL);

    APInt AddKR = 2 + getRValue("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
    EXPECT_EQ(AddKR, HighOneLowOne);
    EXPECT_EQ(AddKR.getRawData(), RawDataR);
  }

  {
    // 2 - 1 = 1
    APInt SubLL = Two - One;
    EXPECT_EQ(SubLL, One);

    APInt SubLR = Two - getRValue("1", RawDataR);
    EXPECT_EQ(SubLR, One);
    EXPECT_EQ(SubLR.getRawData(), RawDataR);

    APInt SubRL = getRValue("2", RawDataL) - One;
    EXPECT_EQ(SubRL, One);
    EXPECT_EQ(SubRL.getRawData(), RawDataL);

    APInt SubRR = getRValue("2", RawDataL) - getRValue("1", RawDataR);
    EXPECT_EQ(SubRR, One);
    EXPECT_EQ(SubRR.getRawData(), RawDataR);

    // LValue's and constants
    APInt SubLK = Two - 1;
    EXPECT_EQ(SubLK, One);

    APInt SubKL = 2 - One;
    EXPECT_EQ(SubKL, One);

    // RValue's and constants
    APInt SubRK = getRValue("2", RawDataL) - 1;
    EXPECT_EQ(SubRK, One);
    EXPECT_EQ(SubRK.getRawData(), RawDataL);

    APInt SubKR = 2 - getRValue("1", RawDataR);
    EXPECT_EQ(SubKR, One);
    EXPECT_EQ(SubKR.getRawData(), RawDataR);
  }

  {
    // 0x100...0001 - 0x0,FFFF...FFFF = 0x2
    APInt AllOnes(129, "0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", 16);
    APInt HighOneLowOne(129, "100000000000000000000000000000001", 16);

    APInt SubLL = HighOneLowOne - AllOnes;
    EXPECT_EQ(SubLL, Two);

    APInt SubLR = HighOneLowOne -
                  getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
    EXPECT_EQ(SubLR, Two);
    EXPECT_EQ(SubLR.getRawData(), RawDataR);

    APInt SubRL = getRValue("100000000000000000000000000000001", RawDataL) -
                  AllOnes;
    EXPECT_EQ(SubRL, Two);
    EXPECT_EQ(SubRL.getRawData(), RawDataL);

    APInt SubRR = getRValue("100000000000000000000000000000001", RawDataL) -
                  getRValue("0FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
    EXPECT_EQ(SubRR, Two);
    EXPECT_EQ(SubRR.getRawData(), RawDataR);

    // LValue's and constants
    // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
    APInt SubLK = HighOneLowOne - 2;
    EXPECT_EQ(SubLK, AllOnes);

    // 2 - (-1) = 3
    APInt SubKL = 2 - MinusOne;
    EXPECT_EQ(SubKL, Three);

    // RValue's and constants
    // 0x100...0001 - 0x2 = 0x0,FFFF...FFFF
    APInt SubRK = getRValue("100000000000000000000000000000001", RawDataL) - 2;
    EXPECT_EQ(SubRK, AllOnes);
    EXPECT_EQ(SubRK.getRawData(), RawDataL);

    APInt SubKR = 2 - getRValue("1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", RawDataR);
    EXPECT_EQ(SubKR, Three);
    EXPECT_EQ(SubKR.getRawData(), RawDataR);
  }
}

TEST(APIntTest, rvalue_bitwise) {
  // Test all combinations of lvalue/rvalue lhs/rhs of and/or/xor

  // Lamdba to return an APInt by value, but also provide the raw value of the
  // allocated data.
  auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
    APInt V(129, HexString, 16);
    RawData = V.getRawData();
    return V;
  };

  APInt Ten(129, "A", 16);
  APInt Twelve(129, "C", 16);

  const uint64_t *RawDataL = nullptr;
  const uint64_t *RawDataR = nullptr;

  {
    // 12 & 10 = 8
    APInt AndLL = Ten & Twelve;
    EXPECT_EQ(AndLL, 0x8);

    APInt AndLR = Ten & getRValue("C", RawDataR);
    EXPECT_EQ(AndLR, 0x8);
    EXPECT_EQ(AndLR.getRawData(), RawDataR);

    APInt AndRL = getRValue("A", RawDataL) & Twelve;
    EXPECT_EQ(AndRL, 0x8);
    EXPECT_EQ(AndRL.getRawData(), RawDataL);

    APInt AndRR = getRValue("A", RawDataL) & getRValue("C", RawDataR);
    EXPECT_EQ(AndRR, 0x8);
    EXPECT_EQ(AndRR.getRawData(), RawDataR);

    // LValue's and constants
    APInt AndLK = Ten & 0xc;
    EXPECT_EQ(AndLK, 0x8);

    APInt AndKL = 0xa & Twelve;
    EXPECT_EQ(AndKL, 0x8);

    // RValue's and constants
    APInt AndRK = getRValue("A", RawDataL) & 0xc;
    EXPECT_EQ(AndRK, 0x8);
    EXPECT_EQ(AndRK.getRawData(), RawDataL);

    APInt AndKR = 0xa & getRValue("C", RawDataR);
    EXPECT_EQ(AndKR, 0x8);
    EXPECT_EQ(AndKR.getRawData(), RawDataR);
  }

  {
    // 12 | 10 = 14
    APInt OrLL = Ten | Twelve;
    EXPECT_EQ(OrLL, 0xe);

    APInt OrLR = Ten | getRValue("C", RawDataR);
    EXPECT_EQ(OrLR, 0xe);
    EXPECT_EQ(OrLR.getRawData(), RawDataR);

    APInt OrRL = getRValue("A", RawDataL) | Twelve;
    EXPECT_EQ(OrRL, 0xe);
    EXPECT_EQ(OrRL.getRawData(), RawDataL);

    APInt OrRR = getRValue("A", RawDataL) | getRValue("C", RawDataR);
    EXPECT_EQ(OrRR, 0xe);
    EXPECT_EQ(OrRR.getRawData(), RawDataR);

    // LValue's and constants
    APInt OrLK = Ten | 0xc;
    EXPECT_EQ(OrLK, 0xe);

    APInt OrKL = 0xa | Twelve;
    EXPECT_EQ(OrKL, 0xe);

    // RValue's and constants
    APInt OrRK = getRValue("A", RawDataL) | 0xc;
    EXPECT_EQ(OrRK, 0xe);
    EXPECT_EQ(OrRK.getRawData(), RawDataL);

    APInt OrKR = 0xa | getRValue("C", RawDataR);
    EXPECT_EQ(OrKR, 0xe);
    EXPECT_EQ(OrKR.getRawData(), RawDataR);
  }

  {
    // 12 ^ 10 = 6
    APInt XorLL = Ten ^ Twelve;
    EXPECT_EQ(XorLL, 0x6);

    APInt XorLR = Ten ^ getRValue("C", RawDataR);
    EXPECT_EQ(XorLR, 0x6);
    EXPECT_EQ(XorLR.getRawData(), RawDataR);

    APInt XorRL = getRValue("A", RawDataL) ^ Twelve;
    EXPECT_EQ(XorRL, 0x6);
    EXPECT_EQ(XorRL.getRawData(), RawDataL);

    APInt XorRR = getRValue("A", RawDataL) ^ getRValue("C", RawDataR);
    EXPECT_EQ(XorRR, 0x6);
    EXPECT_EQ(XorRR.getRawData(), RawDataR);

    // LValue's and constants
    APInt XorLK = Ten ^ 0xc;
    EXPECT_EQ(XorLK, 0x6);

    APInt XorKL = 0xa ^ Twelve;
    EXPECT_EQ(XorKL, 0x6);

    // RValue's and constants
    APInt XorRK = getRValue("A", RawDataL) ^ 0xc;
    EXPECT_EQ(XorRK, 0x6);
    EXPECT_EQ(XorRK.getRawData(), RawDataL);

    APInt XorKR = 0xa ^ getRValue("C", RawDataR);
    EXPECT_EQ(XorKR, 0x6);
    EXPECT_EQ(XorKR.getRawData(), RawDataR);
  }
}

TEST(APIntTest, rvalue_invert) {
  // Lamdba to return an APInt by value, but also provide the raw value of the
  // allocated data.
  auto getRValue = [](const char *HexString, uint64_t const *&RawData) {
    APInt V(129, HexString, 16);
    RawData = V.getRawData();
    return V;
  };

  APInt One(129, 1);
  APInt NegativeTwo(129, -2ULL, true);

  const uint64_t *RawData = nullptr;

  {
    // ~1 = -2
    APInt NegL = ~One;
    EXPECT_EQ(NegL, NegativeTwo);

    APInt NegR = ~getRValue("1", RawData);
    EXPECT_EQ(NegR, NegativeTwo);
    EXPECT_EQ(NegR.getRawData(), RawData);
  }
}

// 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});
}

void testDiv(APInt a, uint64_t b, APInt c) {
  auto p = a * b + c;

  APInt q;
  uint64_t r;
  // Unsigned division will only work if our original number wasn't negative.
  if (!a.isNegative()) {
    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);
  if (c.isNegative())
    EXPECT_EQ(-c, -r); // Need to negate so the uint64_t compare will work.
  else
    EXPECT_EQ(c, r);
  int64_t sr;
  APInt::sdivrem(p, b, q, sr);
  EXPECT_EQ(a, q);
  if (c.isNegative())
    EXPECT_EQ(-c, -sr); // Need to negate so the uint64_t compare will work.
  else
    EXPECT_EQ(c, sr);
}

TEST(APIntTest, divremuint) {
  // Single word APInt
  testDiv(APInt{64, 9},
          2,
          APInt{64, 1});

  // Single word negative APInt
  testDiv(-APInt{64, 9},
          2,
          -APInt{64, 1});

  // Multiword dividend with only one significant word.
  testDiv(APInt{256, 9},
          2,
          APInt{256, 1});

  // Negative dividend.
  testDiv(-APInt{256, 9},
          2,
          -APInt{256, 1});

  // Multiword dividend
  testDiv(APInt{1024, 19}.shl(811),
          4356013, // one word
          APInt{1024, 1});
}

TEST(APIntTest, divrem_simple) {
  // Test simple cases.
  APInt A(65, 2), B(65, 2);
  APInt Q, R;

  // X / X
  APInt::sdivrem(A, B, Q, R);
  EXPECT_EQ(Q, APInt(65, 1));
  EXPECT_EQ(R, APInt(65, 0));
  APInt::udivrem(A, B, Q, R);
  EXPECT_EQ(Q, APInt(65, 1));
  EXPECT_EQ(R, APInt(65, 0));

  // 0 / X
  APInt O(65, 0);
  APInt::sdivrem(O, B, Q, R);
  EXPECT_EQ(Q, APInt(65, 0));
  EXPECT_EQ(R, APInt(65, 0));
  APInt::udivrem(O, B, Q, R);
  EXPECT_EQ(Q, APInt(65, 0));
  EXPECT_EQ(R, APInt(65, 0));

  // X / 1
  APInt I(65, 1);
  APInt::sdivrem(A, I, Q, R);
  EXPECT_EQ(Q, A);
  EXPECT_EQ(R, APInt(65, 0));
  APInt::udivrem(A, I, Q, R);
  EXPECT_EQ(Q, A);
  EXPECT_EQ(R, APInt(65, 0));
}

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, SaturatingMath) {
  APInt AP_10 = APInt(8, 10);
  APInt AP_100 = APInt(8, 100);
  APInt AP_200 = APInt(8, 200);

  EXPECT_EQ(APInt(8, 200), AP_100.uadd_sat(AP_100));
  EXPECT_EQ(APInt(8, 255), AP_100.uadd_sat(AP_200));
  EXPECT_EQ(APInt(8, 255), APInt(8, 255).uadd_sat(APInt(8, 255)));

  EXPECT_EQ(APInt(8, 110), AP_10.sadd_sat(AP_100));
  EXPECT_EQ(APInt(8, 127), AP_100.sadd_sat(AP_100));
  EXPECT_EQ(APInt(8, -128), (-AP_100).sadd_sat(-AP_100));
  EXPECT_EQ(APInt(8, -128), APInt(8, -128).sadd_sat(APInt(8, -128)));

  EXPECT_EQ(APInt(8, 90), AP_100.usub_sat(AP_10));
  EXPECT_EQ(APInt(8, 0), AP_100.usub_sat(AP_200));
  EXPECT_EQ(APInt(8, 0), APInt(8, 0).usub_sat(APInt(8, 255)));

  EXPECT_EQ(APInt(8, -90), AP_10.ssub_sat(AP_100));
  EXPECT_EQ(APInt(8, 127), AP_100.ssub_sat(-AP_100));
  EXPECT_EQ(APInt(8, -128), (-AP_100).ssub_sat(AP_100));
  EXPECT_EQ(APInt(8, -128), APInt(8, -128).ssub_sat(APInt(8, 127)));
}

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));

  EXPECT_EQ(1U, APInt::getBitsNeeded("-1", 10));
  EXPECT_EQ(2U, APInt::getBitsNeeded("-2", 10));
  EXPECT_EQ(3U, APInt::getBitsNeeded("-4", 10));
  EXPECT_EQ(4U, APInt::getBitsNeeded("-8", 10));
  EXPECT_EQ(5U, APInt::getBitsNeeded("-16", 10));
  EXPECT_EQ(6U, APInt::getBitsNeeded("-23", 10));
  EXPECT_EQ(6U, APInt::getBitsNeeded("-32", 10));
  EXPECT_EQ(7U, APInt::getBitsNeeded("-64", 10));
  EXPECT_EQ(8U, APInt::getBitsNeeded("-127", 10));
  EXPECT_EQ(8U, APInt::getBitsNeeded("-128", 10));
  EXPECT_EQ(9U, APInt::getBitsNeeded("-255", 10));
  EXPECT_EQ(9U, APInt::getBitsNeeded("-256", 10));
  EXPECT_EQ(10U, APInt::getBitsNeeded("-512", 10));
  EXPECT_EQ(11U, APInt::getBitsNeeded("-1024", 10));
  EXPECT_EQ(12U, APInt::getBitsNeeded("-1025", 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((void)APInt(0, "", 0), "Bitwidth too small");
  EXPECT_DEATH((void)APInt(32, "", 0), "Invalid string length");
  EXPECT_DEATH((void)APInt(32, "0", 0), "Radix should be 2, 8, 10, 16, or 36!");
  EXPECT_DEATH((void)APInt(32, "", 10), "Invalid string length");
  EXPECT_DEATH((void)APInt(32, "-", 10), "String is only a sign, needs a value.");
  EXPECT_DEATH((void)APInt(1, "1234", 10), "Insufficient bit width");
  EXPECT_DEATH((void)APInt(32, "\0", 10), "Invalid string length");
  EXPECT_DEATH((void)APInt(32, StringRef("1\02", 3), 10), "Invalid character in digit string");
  EXPECT_DEATH((void)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(32, 2), APInt(32, 1).rotl(33));
  EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));

  EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(33));
  EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(32, 33)));
  EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(33, 33)));
  EXPECT_EQ(APInt(32, (1 << 8)), APInt(32, 1).rotl(APInt(32, 40)));
  EXPECT_EQ(APInt(32, (1 << 30)), APInt(32, 1).rotl(APInt(31, 30)));
  EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotl(APInt(31, 31)));

  EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(1, 0)));
  EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(1, 1)));

  EXPECT_EQ(APInt(32, 16), APInt(32, 1).rotl(APInt(3, 4)));

  EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotl(APInt(64, 64)));
  EXPECT_EQ(APInt(32, 2), APInt(32, 1).rotl(APInt(64, 65)));

  EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 3)));
  EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(7, 10)));
  EXPECT_EQ(APInt(7, 24), APInt(7, 3).rotl(APInt(5, 10)));
  EXPECT_EQ(APInt(7, 6), APInt(7, 3).rotl(APInt(12, 120)));

  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));

  EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
  EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));

  EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(33));
  EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(32, 33)));
  EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(33, 33)));
  EXPECT_EQ(APInt(32, (1 << 24)), APInt(32, 1).rotr(APInt(32, 40)));

  EXPECT_EQ(APInt(32, (1 << 2)), APInt(32, 1).rotr(APInt(31, 30)));
  EXPECT_EQ(APInt(32, (1 << 1)), APInt(32, 1).rotr(APInt(31, 31)));

  EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(1, 0)));
  EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(1, 1)));

  EXPECT_EQ(APInt(32, (1 << 28)), APInt(32, 1).rotr(APInt(3, 4)));

  EXPECT_EQ(APInt(32, 1), APInt(32, 1).rotr(APInt(64, 64)));
  EXPECT_EQ(APInt(32, (1 << 31)), APInt(32, 1).rotr(APInt(64, 65)));

  EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 3)));
  EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(7, 10)));
  EXPECT_EQ(APInt(7, 48), APInt(7, 3).rotr(APInt(5, 10)));
  EXPECT_EQ(APInt(7, 65), APInt(7, 3).rotr(APInt(12, 120)));

  APInt Big(256, "00004000800000000000000000003fff8000000000000003", 16);
  APInt Rot(256, "3fff80000000000000030000000000000000000040008000", 16);
  EXPECT_EQ(Rot, Big.rotr(144));

  EXPECT_EQ(APInt(32, 8), APInt(32, 1).rotl(Big));
  EXPECT_EQ(APInt(32, (1 << 29)), APInt(32, 1).rotr(Big));
}

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.
  {
    APInt::WordType singleWord = ~APInt::WordType(0) << (APInt::APINT_BITS_PER_WORD - 1);
    APInt::WordType carry = APInt::tcDecrement(&singleWord, 1);
    EXPECT_EQ(carry, APInt::WordType(0));
    EXPECT_EQ(singleWord, ~APInt::WordType(0) >> 1);
  }

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

  // Test multiword decrement.

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

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

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

  // 3 across word borrow, with out borrow.
  {
    APInt::WordType test[4] = {0x0, 0x0, 0x0, 0x0};
    APInt::WordType expected[4] = {~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0), ~APInt::WordType(0)};
    APInt::WordType carry = APInt::tcDecrement(test, 4);
    EXPECT_EQ(carry, APInt::WordType(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.
  APInt::WordType E2[4] = {
    0xEB6EB136591CBA21ULL,
    0x7B9358BD6A33F10AULL,
    0x7E7FFA5EADD8846ULL,
    0x305F341CA00B613DULL
  };
  APInt A2(APInt::APINT_BITS_PER_WORD*4, E2);
  for (unsigned i = 0; i < 4; ++i) {
    for (unsigned j = 0; j < APInt::APINT_BITS_PER_WORD; ++j) {
      EXPECT_EQ(bool(E2[i] & (1ULL << j)),
                A2[i*APInt::APINT_BITS_PER_WORD + 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.
  APInt::WordType I4[4] = {0x0, 0xF, 0x18, 0x0};
  APInt A4(APInt::APINT_BITS_PER_WORD*4, I4);
  EXPECT_EQ(A4.nearestLogBase2(), A4.ceilLogBase2());

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

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

TEST(APIntTest, isMask) {
  EXPECT_FALSE(APInt(32, 0x01010101).isMask());
  EXPECT_FALSE(APInt(32, 0xf0000000).isMask());
  EXPECT_FALSE(APInt(32, 0xffff0000).isMask());
  EXPECT_FALSE(APInt(32, 0xff << 1).isMask());

  for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
    EXPECT_FALSE(APInt(N, 0).isMask());

    APInt One(N, 1);
    for (int I = 1; I <= N; ++I) {
      APInt MaskVal = One.shl(I) - 1;
      EXPECT_TRUE(MaskVal.isMask());
      EXPECT_TRUE(MaskVal.isMask(I));
    }
  }
}

TEST(APIntTest, isShiftedMask) {
  EXPECT_FALSE(APInt(32, 0x01010101).isShiftedMask());
  EXPECT_TRUE(APInt(32, 0xf0000000).isShiftedMask());
  EXPECT_TRUE(APInt(32, 0xffff0000).isShiftedMask());
  EXPECT_TRUE(APInt(32, 0xff << 1).isShiftedMask());

  for (int N : { 1, 2, 3, 4, 7, 8, 16, 32, 64, 127, 128, 129, 256 }) {
    EXPECT_FALSE(APInt(N, 0).isShiftedMask());

    APInt One(N, 1);
    for (int I = 1; I < N; ++I) {
      APInt MaskVal = One.shl(I) - 1;
      EXPECT_TRUE(MaskVal.isShiftedMask());
    }
    for (int I = 1; I < N - 1; ++I) {
      APInt MaskVal = One.shl(I);
      EXPECT_TRUE(MaskVal.isShiftedMask());
    }
    for (int I = 1; I < N; ++I) {
      APInt MaskVal = APInt::getHighBitsSet(N, I);
      EXPECT_TRUE(MaskVal.isShiftedMask());
    }
  }
}

// Test that self-move works, but only when we're using MSVC.
#if defined(_MSC_VER)
#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
#endif // _MSC_VER

TEST(APIntTest, reverseBits) {
  EXPECT_EQ(1, APInt(1, 1).reverseBits());
  EXPECT_EQ(0, APInt(1, 0).reverseBits());

  EXPECT_EQ(3, APInt(2, 3).reverseBits());
  EXPECT_EQ(3, APInt(2, 3).reverseBits());

  EXPECT_EQ(0xb, APInt(4, 0xd).reverseBits());
  EXPECT_EQ(0xd, APInt(4, 0xb).reverseBits());
  EXPECT_EQ(0xf, APInt(4, 0xf).reverseBits());

  EXPECT_EQ(0x30, APInt(7, 0x6).reverseBits());
  EXPECT_EQ(0x5a, APInt(7, 0x2d).reverseBits());

  EXPECT_EQ(0x0f, APInt(8, 0xf0).reverseBits());
  EXPECT_EQ(0xf0, APInt(8, 0x0f).reverseBits());

  EXPECT_EQ(0x0f0f, APInt(16, 0xf0f0).reverseBits());
  EXPECT_EQ(0xf0f0, APInt(16, 0x0f0f).reverseBits());

  EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
  EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());

  EXPECT_EQ(0x402880a0 >> 1, APInt(31, 0x05011402).reverseBits());

  EXPECT_EQ(0x0f0f0f0f, APInt(32, 0xf0f0f0f0).reverseBits());
  EXPECT_EQ(0xf0f0f0f0, APInt(32, 0x0f0f0f0f).reverseBits());

  EXPECT_EQ(0x0f0f0f0f0f0f0f0f, APInt(64, 0xf0f0f0f0f0f0f0f0).reverseBits());
  EXPECT_EQ(0xf0f0f0f0f0f0f0f0, APInt(64, 0x0f0f0f0f0f0f0f0f).reverseBits());

  for (unsigned N : { 1, 8, 16, 24, 31, 32, 33,
                      63, 64, 65, 127, 128, 257, 1024 }) {
    for (unsigned I = 0; I < N; ++I) {
      APInt X = APInt::getOneBitSet(N, I);
      APInt Y = APInt::getOneBitSet(N, N - (I + 1));
      EXPECT_EQ(Y, X.reverseBits());
      EXPECT_EQ(X, Y.reverseBits());
    }
  }
}

TEST(APIntTest, insertBits) {
  APInt iSrc(31, 0x00123456);

  // Direct copy.
  APInt i31(31, 0x76543210ull);
  i31.insertBits(iSrc, 0);
  EXPECT_EQ(static_cast<int64_t>(0x00123456ull), i31.getSExtValue());

  // Single word src/dst insertion.
  APInt i63(63, 0x01234567FFFFFFFFull);
  i63.insertBits(iSrc, 4);
  EXPECT_EQ(static_cast<int64_t>(0x012345600123456Full), i63.getSExtValue());

  // Insert single word src into one word of dst.
  APInt i120(120, UINT64_MAX, true);
  i120.insertBits(iSrc, 8);
  EXPECT_EQ(static_cast<int64_t>(0xFFFFFF80123456FFull), i120.getSExtValue());

  // Insert single word src into two words of dst.
  APInt i127(127, UINT64_MAX, true);
  i127.insertBits(iSrc, 48);
  EXPECT_EQ(i127.extractBits(64, 0).getZExtValue(), 0x3456FFFFFFFFFFFFull);
  EXPECT_EQ(i127.extractBits(63, 64).getZExtValue(), 0x7FFFFFFFFFFF8012ull);

  // Insert on word boundaries.
  APInt i128(128, 0);
  i128.insertBits(APInt(64, UINT64_MAX, true), 0);
  i128.insertBits(APInt(64, UINT64_MAX, true), 64);
  EXPECT_EQ(-1, i128.getSExtValue());

  APInt i256(256, UINT64_MAX, true);
  i256.insertBits(APInt(65, 0), 0);
  i256.insertBits(APInt(69, 0), 64);
  i256.insertBits(APInt(128, 0), 128);
  EXPECT_EQ(0u, i256.getSExtValue());

  APInt i257(257, 0);
  i257.insertBits(APInt(96, UINT64_MAX, true), 64);
  EXPECT_EQ(i257.extractBits(64, 0).getZExtValue(), 0x0000000000000000ull);
  EXPECT_EQ(i257.extractBits(64, 64).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
  EXPECT_EQ(i257.extractBits(64, 128).getZExtValue(), 0x00000000FFFFFFFFull);
  EXPECT_EQ(i257.extractBits(65, 192).getZExtValue(), 0x0000000000000000ull);

  // General insertion.
  APInt i260(260, UINT64_MAX, true);
  i260.insertBits(APInt(129, 1ull << 48), 15);
  EXPECT_EQ(i260.extractBits(64, 0).getZExtValue(), 0x8000000000007FFFull);
  EXPECT_EQ(i260.extractBits(64, 64).getZExtValue(), 0x0000000000000000ull);
  EXPECT_EQ(i260.extractBits(64, 128).getZExtValue(), 0xFFFFFFFFFFFF0000ull);
  EXPECT_EQ(i260.extractBits(64, 192).getZExtValue(), 0xFFFFFFFFFFFFFFFFull);
  EXPECT_EQ(i260.extractBits(4, 256).getZExtValue(), 0x000000000000000Full);
}

TEST(APIntTest, extractBits) {
  APInt i32(32, 0x1234567);
  EXPECT_EQ(0x3456, i32.extractBits(16, 4));

  APInt i257(257, 0xFFFFFFFFFF0000FFull, true);
  EXPECT_EQ(0xFFu, i257.extractBits(16, 0));
  EXPECT_EQ((0xFFu >> 1), i257.extractBits(16, 1));
  EXPECT_EQ(-1, i257.extractBits(32, 64).getSExtValue());
  EXPECT_EQ(-1, i257.extractBits(128, 128).getSExtValue());
  EXPECT_EQ(-1, i257.extractBits(66, 191).getSExtValue());
  EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
            i257.extractBits(128, 1).getSExtValue());
  EXPECT_EQ(static_cast<int64_t>(0xFFFFFFFFFF80007Full),
            i257.extractBits(129, 1).getSExtValue());

  EXPECT_EQ(APInt(48, 0),
            APInt(144, "281474976710655", 10).extractBits(48, 48));
  EXPECT_EQ(APInt(48, 0x0000ffffffffffffull),
            APInt(144, "281474976710655", 10).extractBits(48, 0));
  EXPECT_EQ(APInt(48, 0x00007fffffffffffull),
            APInt(144, "281474976710655", 10).extractBits(48, 1));
}

TEST(APIntTest, getLowBitsSet) {
  APInt i128lo64 = APInt::getLowBitsSet(128, 64);
  EXPECT_EQ(0u, i128lo64.countLeadingOnes());
  EXPECT_EQ(64u, i128lo64.countLeadingZeros());
  EXPECT_EQ(64u, i128lo64.getActiveBits());
  EXPECT_EQ(0u, i128lo64.countTrailingZeros());
  EXPECT_EQ(64u, i128lo64.countTrailingOnes());
  EXPECT_EQ(64u, i128lo64.countPopulation());
}

TEST(APIntTest, getBitsSet) {
  APInt i64hi1lo1 = APInt::getBitsSet(64, 1, 63);
  EXPECT_EQ(0u, i64hi1lo1.countLeadingOnes());
  EXPECT_EQ(1u, i64hi1lo1.countLeadingZeros());
  EXPECT_EQ(63u, i64hi1lo1.getActiveBits());
  EXPECT_EQ(1u, i64hi1lo1.countTrailingZeros());
  EXPECT_EQ(0u, i64hi1lo1.countTrailingOnes());
  EXPECT_EQ(62u, i64hi1lo1.countPopulation());

  APInt i127hi1lo1 = APInt::getBitsSet(127, 1, 126);
  EXPECT_EQ(0u, i127hi1lo1.countLeadingOnes());
  EXPECT_EQ(1u, i127hi1lo1.countLeadingZeros());
  EXPECT_EQ(126u, i127hi1lo1.getActiveBits());
  EXPECT_EQ(1u, i127hi1lo1.countTrailingZeros());
  EXPECT_EQ(0u, i127hi1lo1.countTrailingOnes());
  EXPECT_EQ(125u, i127hi1lo1.countPopulation());
}

TEST(APIntTest, getHighBitsSet) {
  APInt i64hi32 = APInt::getHighBitsSet(64, 32);
  EXPECT_EQ(32u, i64hi32.countLeadingOnes());
  EXPECT_EQ(0u, i64hi32.countLeadingZeros());
  EXPECT_EQ(64u, i64hi32.getActiveBits());
  EXPECT_EQ(32u, i64hi32.countTrailingZeros());
  EXPECT_EQ(0u, i64hi32.countTrailingOnes());
  EXPECT_EQ(32u, i64hi32.countPopulation());
}

TEST(APIntTest, getBitsSetFrom) {
  APInt i64hi31 = APInt::getBitsSetFrom(64, 33);
  EXPECT_EQ(31u, i64hi31.countLeadingOnes());
  EXPECT_EQ(0u, i64hi31.countLeadingZeros());
  EXPECT_EQ(64u, i64hi31.getActiveBits());
  EXPECT_EQ(33u, i64hi31.countTrailingZeros());
  EXPECT_EQ(0u, i64hi31.countTrailingOnes());
  EXPECT_EQ(31u, i64hi31.countPopulation());
}

TEST(APIntTest, setLowBits) {
  APInt i64lo32(64, 0);
  i64lo32.setLowBits(32);
  EXPECT_EQ(0u, i64lo32.countLeadingOnes());
  EXPECT_EQ(32u, i64lo32.countLeadingZeros());
  EXPECT_EQ(32u, i64lo32.getActiveBits());
  EXPECT_EQ(0u, i64lo32.countTrailingZeros());
  EXPECT_EQ(32u, i64lo32.countTrailingOnes());
  EXPECT_EQ(32u, i64lo32.countPopulation());

  APInt i128lo64(128, 0);
  i128lo64.setLowBits(64);
  EXPECT_EQ(0u, i128lo64.countLeadingOnes());
  EXPECT_EQ(64u, i128lo64.countLeadingZeros());
  EXPECT_EQ(64u, i128lo64.getActiveBits());
  EXPECT_EQ(0u, i128lo64.countTrailingZeros());
  EXPECT_EQ(64u, i128lo64.countTrailingOnes());
  EXPECT_EQ(64u, i128lo64.countPopulation());

  APInt i128lo24(128, 0);
  i128lo24.setLowBits(24);
  EXPECT_EQ(0u, i128lo24.countLeadingOnes());
  EXPECT_EQ(104u, i128lo24.countLeadingZeros());
  EXPECT_EQ(24u, i128lo24.getActiveBits());
  EXPECT_EQ(0u, i128lo24.countTrailingZeros());
  EXPECT_EQ(24u, i128lo24.countTrailingOnes());
  EXPECT_EQ(24u, i128lo24.countPopulation());

  APInt i128lo104(128, 0);
  i128lo104.setLowBits(104);
  EXPECT_EQ(0u, i128lo104.countLeadingOnes());
  EXPECT_EQ(24u, i128lo104.countLeadingZeros());
  EXPECT_EQ(104u, i128lo104.getActiveBits());
  EXPECT_EQ(0u, i128lo104.countTrailingZeros());
  EXPECT_EQ(104u, i128lo104.countTrailingOnes());
  EXPECT_EQ(104u, i128lo104.countPopulation());

  APInt i128lo0(128, 0);
  i128lo0.setLowBits(0);
  EXPECT_EQ(0u, i128lo0.countLeadingOnes());
  EXPECT_EQ(128u, i128lo0.countLeadingZeros());
  EXPECT_EQ(0u, i128lo0.getActiveBits());
  EXPECT_EQ(128u, i128lo0.countTrailingZeros());
  EXPECT_EQ(0u, i128lo0.countTrailingOnes());
  EXPECT_EQ(0u, i128lo0.countPopulation());

  APInt i80lo79(80, 0);
  i80lo79.setLowBits(79);
  EXPECT_EQ(0u, i80lo79.countLeadingOnes());
  EXPECT_EQ(1u, i80lo79.countLeadingZeros());
  EXPECT_EQ(79u, i80lo79.getActiveBits());
  EXPECT_EQ(0u, i80lo79.countTrailingZeros());
  EXPECT_EQ(79u, i80lo79.countTrailingOnes());
  EXPECT_EQ(79u, i80lo79.countPopulation());
}

TEST(APIntTest, setHighBits) {
  APInt i64hi32(64, 0);
  i64hi32.setHighBits(32);
  EXPECT_EQ(32u, i64hi32.countLeadingOnes());
  EXPECT_EQ(0u, i64hi32.countLeadingZeros());
  EXPECT_EQ(64u, i64hi32.getActiveBits());
  EXPECT_EQ(32u, i64hi32.countTrailingZeros());
  EXPECT_EQ(0u, i64hi32.countTrailingOnes());
  EXPECT_EQ(32u, i64hi32.countPopulation());

  APInt i128hi64(128, 0);
  i128hi64.setHighBits(64);
  EXPECT_EQ(64u, i128hi64.countLeadingOnes());
  EXPECT_EQ(0u, i128hi64.countLeadingZeros());
  EXPECT_EQ(128u, i128hi64.getActiveBits());
  EXPECT_EQ(64u, i128hi64.countTrailingZeros());
  EXPECT_EQ(0u, i128hi64.countTrailingOnes());
  EXPECT_EQ(64u, i128hi64.countPopulation());

  APInt i128hi24(128, 0);
  i128hi24.setHighBits(24);
  EXPECT_EQ(24u, i128hi24.countLeadingOnes());
  EXPECT_EQ(0u, i128hi24.countLeadingZeros());
  EXPECT_EQ(128u, i128hi24.getActiveBits());
  EXPECT_EQ(104u, i128hi24.countTrailingZeros());
  EXPECT_EQ(0u, i128hi24.countTrailingOnes());
  EXPECT_EQ(24u, i128hi24.countPopulation());

  APInt i128hi104(128, 0);
  i128hi104.setHighBits(104);
  EXPECT_EQ(104u, i128hi104.countLeadingOnes());
  EXPECT_EQ(0u, i128hi104.countLeadingZeros());
  EXPECT_EQ(128u, i128hi104.getActiveBits());
  EXPECT_EQ(24u, i128hi104.countTrailingZeros());
  EXPECT_EQ(0u, i128hi104.countTrailingOnes());
  EXPECT_EQ(104u, i128hi104.countPopulation());

  APInt i128hi0(128, 0);
  i128hi0.setHighBits(0);
  EXPECT_EQ(0u, i128hi0.countLeadingOnes());
  EXPECT_EQ(128u, i128hi0.countLeadingZeros());
  EXPECT_EQ(0u, i128hi0.getActiveBits());
  EXPECT_EQ(128u, i128hi0.countTrailingZeros());
  EXPECT_EQ(0u, i128hi0.countTrailingOnes());
  EXPECT_EQ(0u, i128hi0.countPopulation());

  APInt i80hi1(80, 0);
  i80hi1.setHighBits(1);
  EXPECT_EQ(1u, i80hi1.countLeadingOnes());
  EXPECT_EQ(0u, i80hi1.countLeadingZeros());
  EXPECT_EQ(80u, i80hi1.getActiveBits());
  EXPECT_EQ(79u, i80hi1.countTrailingZeros());
  EXPECT_EQ(0u, i80hi1.countTrailingOnes());
  EXPECT_EQ(1u, i80hi1.countPopulation());

  APInt i32hi16(32, 0);
  i32hi16.setHighBits(16);
  EXPECT_EQ(16u, i32hi16.countLeadingOnes());
  EXPECT_EQ(0u, i32hi16.countLeadingZeros());
  EXPECT_EQ(32u, i32hi16.getActiveBits());
  EXPECT_EQ(16u, i32hi16.countTrailingZeros());
  EXPECT_EQ(0u, i32hi16.countTrailingOnes());
  EXPECT_EQ(16u, i32hi16.countPopulation());
}

TEST(APIntTest, setBitsFrom) {
  APInt i64from63(64, 0);
  i64from63.setBitsFrom(63);
  EXPECT_EQ(1u, i64from63.countLeadingOnes());
  EXPECT_EQ(0u, i64from63.countLeadingZeros());
  EXPECT_EQ(64u, i64from63.getActiveBits());
  EXPECT_EQ(63u, i64from63.countTrailingZeros());
  EXPECT_EQ(0u, i64from63.countTrailingOnes());
  EXPECT_EQ(1u, i64from63.countPopulation());
}

TEST(APIntTest, setAllBits) {
  APInt i32(32, 0);
  i32.setAllBits();
  EXPECT_EQ(32u, i32.countLeadingOnes());
  EXPECT_EQ(0u, i32.countLeadingZeros());
  EXPECT_EQ(32u, i32.getActiveBits());
  EXPECT_EQ(0u, i32.countTrailingZeros());
  EXPECT_EQ(32u, i32.countTrailingOnes());
  EXPECT_EQ(32u, i32.countPopulation());

  APInt i64(64, 0);
  i64.setAllBits();
  EXPECT_EQ(64u, i64.countLeadingOnes());
  EXPECT_EQ(0u, i64.countLeadingZeros());
  EXPECT_EQ(64u, i64.getActiveBits());
  EXPECT_EQ(0u, i64.countTrailingZeros());
  EXPECT_EQ(64u, i64.countTrailingOnes());
  EXPECT_EQ(64u, i64.countPopulation());

  APInt i96(96, 0);
  i96.setAllBits();
  EXPECT_EQ(96u, i96.countLeadingOnes());
  EXPECT_EQ(0u, i96.countLeadingZeros());
  EXPECT_EQ(96u, i96.getActiveBits());
  EXPECT_EQ(0u, i96.countTrailingZeros());
  EXPECT_EQ(96u, i96.countTrailingOnes());
  EXPECT_EQ(96u, i96.countPopulation());

  APInt i128(128, 0);
  i128.setAllBits();
  EXPECT_EQ(128u, i128.countLeadingOnes());
  EXPECT_EQ(0u, i128.countLeadingZeros());
  EXPECT_EQ(128u, i128.getActiveBits());
  EXPECT_EQ(0u, i128.countTrailingZeros());
  EXPECT_EQ(128u, i128.countTrailingOnes());
  EXPECT_EQ(128u, i128.countPopulation());
}

TEST(APIntTest, getLoBits) {
  APInt i32(32, 0xfa);
  i32.setHighBits(1);
  EXPECT_EQ(0xa, i32.getLoBits(4));
  APInt i128(128, 0xfa);
  i128.setHighBits(1);
  EXPECT_EQ(0xa, i128.getLoBits(4));
}

TEST(APIntTest, getHiBits) {
  APInt i32(32, 0xfa);
  i32.setHighBits(2);
  EXPECT_EQ(0xc, i32.getHiBits(4));
  APInt i128(128, 0xfa);
  i128.setHighBits(2);
  EXPECT_EQ(0xc, i128.getHiBits(4));
}

TEST(APIntTest, clearLowBits) {
  APInt i64hi32 = APInt::getAllOnesValue(64);
  i64hi32.clearLowBits(32);
  EXPECT_EQ(32u, i64hi32.countLeadingOnes());
  EXPECT_EQ(0u, i64hi32.countLeadingZeros());
  EXPECT_EQ(64u, i64hi32.getActiveBits());
  EXPECT_EQ(32u, i64hi32.countTrailingZeros());
  EXPECT_EQ(0u, i64hi32.countTrailingOnes());
  EXPECT_EQ(32u, i64hi32.countPopulation());

  APInt i128hi64 = APInt::getAllOnesValue(128);
  i128hi64.clearLowBits(64);
  EXPECT_EQ(64u, i128hi64.countLeadingOnes());
  EXPECT_EQ(0u, i128hi64.countLeadingZeros());
  EXPECT_EQ(128u, i128hi64.getActiveBits());
  EXPECT_EQ(64u, i128hi64.countTrailingZeros());
  EXPECT_EQ(0u, i128hi64.countTrailingOnes());
  EXPECT_EQ(64u, i128hi64.countPopulation());

  APInt i128hi24 = APInt::getAllOnesValue(128);
  i128hi24.clearLowBits(104);
  EXPECT_EQ(24u, i128hi24.countLeadingOnes());
  EXPECT_EQ(0u, i128hi24.countLeadingZeros());
  EXPECT_EQ(128u, i128hi24.getActiveBits());
  EXPECT_EQ(104u, i128hi24.countTrailingZeros());
  EXPECT_EQ(0u, i128hi24.countTrailingOnes());
  EXPECT_EQ(24u, i128hi24.countPopulation());

  APInt i128hi104 = APInt::getAllOnesValue(128);
  i128hi104.clearLowBits(24);
  EXPECT_EQ(104u, i128hi104.countLeadingOnes());
  EXPECT_EQ(0u, i128hi104.countLeadingZeros());
  EXPECT_EQ(128u, i128hi104.getActiveBits());
  EXPECT_EQ(24u, i128hi104.countTrailingZeros());
  EXPECT_EQ(0u, i128hi104.countTrailingOnes());
  EXPECT_EQ(104u, i128hi104.countPopulation());

  APInt i128hi0 = APInt::getAllOnesValue(128);
  i128hi0.clearLowBits(128);
  EXPECT_EQ(0u, i128hi0.countLeadingOnes());
  EXPECT_EQ(128u, i128hi0.countLeadingZeros());
  EXPECT_EQ(0u, i128hi0.getActiveBits());
  EXPECT_EQ(128u, i128hi0.countTrailingZeros());
  EXPECT_EQ(0u, i128hi0.countTrailingOnes());
  EXPECT_EQ(0u, i128hi0.countPopulation());

  APInt i80hi1 = APInt::getAllOnesValue(80);
  i80hi1.clearLowBits(79);
  EXPECT_EQ(1u, i80hi1.countLeadingOnes());
  EXPECT_EQ(0u, i80hi1.countLeadingZeros());
  EXPECT_EQ(80u, i80hi1.getActiveBits());
  EXPECT_EQ(79u, i80hi1.countTrailingZeros());
  EXPECT_EQ(0u, i80hi1.countTrailingOnes());
  EXPECT_EQ(1u, i80hi1.countPopulation());

  APInt i32hi16 = APInt::getAllOnesValue(32);
  i32hi16.clearLowBits(16);
  EXPECT_EQ(16u, i32hi16.countLeadingOnes());
  EXPECT_EQ(0u, i32hi16.countLeadingZeros());
  EXPECT_EQ(32u, i32hi16.getActiveBits());
  EXPECT_EQ(16u, i32hi16.countTrailingZeros());
  EXPECT_EQ(0u, i32hi16.countTrailingOnes());
  EXPECT_EQ(16u, i32hi16.countPopulation());
}

TEST(APIntTest, GCD) {
  using APIntOps::GreatestCommonDivisor;

  for (unsigned Bits : {1, 2, 32, 63, 64, 65}) {
    // Test some corner cases near zero.
    APInt Zero(Bits, 0), One(Bits, 1);
    EXPECT_EQ(GreatestCommonDivisor(Zero, Zero), Zero);
    EXPECT_EQ(GreatestCommonDivisor(Zero, One), One);
    EXPECT_EQ(GreatestCommonDivisor(One, Zero), One);
    EXPECT_EQ(GreatestCommonDivisor(One, One), One);

    if (Bits > 1) {
      APInt Two(Bits, 2);
      EXPECT_EQ(GreatestCommonDivisor(Zero, Two), Two);
      EXPECT_EQ(GreatestCommonDivisor(One, Two), One);
      EXPECT_EQ(GreatestCommonDivisor(Two, Two), Two);

      // Test some corner cases near the highest representable value.
      APInt Max(Bits, 0);
      Max.setAllBits();
      EXPECT_EQ(GreatestCommonDivisor(Zero, Max), Max);
      EXPECT_EQ(GreatestCommonDivisor(One, Max), One);
      EXPECT_EQ(GreatestCommonDivisor(Two, Max), One);
      EXPECT_EQ(GreatestCommonDivisor(Max, Max), Max);

      APInt MaxOver2 = Max.udiv(Two);
      EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max), One);
      // Max - 1 == Max / 2 * 2, because Max is odd.
      EXPECT_EQ(GreatestCommonDivisor(MaxOver2, Max - 1), MaxOver2);
    }
  }

  // Compute the 20th Mersenne prime.
  const unsigned BitWidth = 4450;
  APInt HugePrime = APInt::getLowBitsSet(BitWidth, 4423);

  // 9931 and 123456 are coprime.
  APInt A = HugePrime * APInt(BitWidth, 9931);
  APInt B = HugePrime * APInt(BitWidth, 123456);
  APInt C = GreatestCommonDivisor(A, B);
  EXPECT_EQ(C, HugePrime);
}

TEST(APIntTest, LogicalRightShift) {
  APInt i256(APInt::getHighBitsSet(256, 2));

  i256.lshrInPlace(1);
  EXPECT_EQ(1U, i256.countLeadingZeros());
  EXPECT_EQ(253U, i256.countTrailingZeros());
  EXPECT_EQ(2U, i256.countPopulation());

  i256.lshrInPlace(62);
  EXPECT_EQ(63U, i256.countLeadingZeros());
  EXPECT_EQ(191U, i256.countTrailingZeros());
  EXPECT_EQ(2U, i256.countPopulation());

  i256.lshrInPlace(65);
  EXPECT_EQ(128U, i256.countLeadingZeros());
  EXPECT_EQ(126U, i256.countTrailingZeros());
  EXPECT_EQ(2U, i256.countPopulation());

  i256.lshrInPlace(64);
  EXPECT_EQ(192U, i256.countLeadingZeros());
  EXPECT_EQ(62U, i256.countTrailingZeros());
  EXPECT_EQ(2U, i256.countPopulation());

  i256.lshrInPlace(63);
  EXPECT_EQ(255U, i256.countLeadingZeros());
  EXPECT_EQ(0U, i256.countTrailingZeros());
  EXPECT_EQ(1U, i256.countPopulation());

  // Ensure we handle large shifts of multi-word.
  const APInt neg_one(128, static_cast<uint64_t>(-1), true);
  EXPECT_EQ(0, neg_one.lshr(128));
}

TEST(APIntTest, ArithmeticRightShift) {
  APInt i72(APInt::getHighBitsSet(72, 1));
  i72.ashrInPlace(46);
  EXPECT_EQ(47U, i72.countLeadingOnes());
  EXPECT_EQ(25U, i72.countTrailingZeros());
  EXPECT_EQ(47U, i72.countPopulation());

  i72 = APInt::getHighBitsSet(72, 1);
  i72.ashrInPlace(64);
  EXPECT_EQ(65U, i72.countLeadingOnes());
  EXPECT_EQ(7U, i72.countTrailingZeros());
  EXPECT_EQ(65U, i72.countPopulation());

  APInt i128(APInt::getHighBitsSet(128, 1));
  i128.ashrInPlace(64);
  EXPECT_EQ(65U, i128.countLeadingOnes());
  EXPECT_EQ(63U, i128.countTrailingZeros());
  EXPECT_EQ(65U, i128.countPopulation());

  // Ensure we handle large shifts of multi-word.
  const APInt signmin32(APInt::getSignedMinValue(32));
  EXPECT_TRUE(signmin32.ashr(32).isAllOnesValue());

  // Ensure we handle large shifts of multi-word.
  const APInt umax32(APInt::getSignedMaxValue(32));
  EXPECT_EQ(0, umax32.ashr(32));

  // Ensure we handle large shifts of multi-word.
  const APInt signmin128(APInt::getSignedMinValue(128));
  EXPECT_TRUE(signmin128.ashr(128).isAllOnesValue());

  // Ensure we handle large shifts of multi-word.
  const APInt umax128(APInt::getSignedMaxValue(128));
  EXPECT_EQ(0, umax128.ashr(128));
}

TEST(APIntTest, LeftShift) {
  APInt i256(APInt::getLowBitsSet(256, 2));

  i256 <<= 1;
  EXPECT_EQ(253U, i256.countLeadingZeros());
  EXPECT_EQ(1U, i256.countTrailingZeros());
  EXPECT_EQ(2U, i256.countPopulation());

  i256 <<= 62;
  EXPECT_EQ(191U, i256.countLeadingZeros());
  EXPECT_EQ(63U, i256.countTrailingZeros());
  EXPECT_EQ(2U, i256.countPopulation());

  i256 <<= 65;
  EXPECT_EQ(126U, i256.countLeadingZeros());
  EXPECT_EQ(128U, i256.countTrailingZeros());
  EXPECT_EQ(2U, i256.countPopulation());

  i256 <<= 64;
  EXPECT_EQ(62U, i256.countLeadingZeros());
  EXPECT_EQ(192U, i256.countTrailingZeros());
  EXPECT_EQ(2U, i256.countPopulation());

  i256 <<= 63;
  EXPECT_EQ(0U, i256.countLeadingZeros());
  EXPECT_EQ(255U, i256.countTrailingZeros());
  EXPECT_EQ(1U, i256.countPopulation());

  // Ensure we handle large shifts of multi-word.
  const APInt neg_one(128, static_cast<uint64_t>(-1), true);
  EXPECT_EQ(0, neg_one.shl(128));
}

TEST(APIntTest, isSubsetOf) {
  APInt i32_1(32, 1);
  APInt i32_2(32, 2);
  APInt i32_3(32, 3);
  EXPECT_FALSE(i32_3.isSubsetOf(i32_1));
  EXPECT_TRUE(i32_1.isSubsetOf(i32_3));
  EXPECT_FALSE(i32_2.isSubsetOf(i32_1));
  EXPECT_FALSE(i32_1.isSubsetOf(i32_2));
  EXPECT_TRUE(i32_3.isSubsetOf(i32_3));

  APInt i128_1(128, 1);
  APInt i128_2(128, 2);
  APInt i128_3(128, 3);
  EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
  EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
  EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
  EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
  EXPECT_TRUE(i128_3.isSubsetOf(i128_3));

  i128_1 <<= 64;
  i128_2 <<= 64;
  i128_3 <<= 64;
  EXPECT_FALSE(i128_3.isSubsetOf(i128_1));
  EXPECT_TRUE(i128_1.isSubsetOf(i128_3));
  EXPECT_FALSE(i128_2.isSubsetOf(i128_1));
  EXPECT_FALSE(i128_1.isSubsetOf(i128_2));
  EXPECT_TRUE(i128_3.isSubsetOf(i128_3));
}

TEST(APIntTest, sext) {
  EXPECT_EQ(0, APInt(1, 0).sext(64));
  EXPECT_EQ(~uint64_t(0), APInt(1, 1).sext(64));

  APInt i32_max(APInt::getSignedMaxValue(32).sext(63));
  EXPECT_EQ(32U, i32_max.countLeadingZeros());
  EXPECT_EQ(0U, i32_max.countTrailingZeros());
  EXPECT_EQ(31U, i32_max.countPopulation());

  APInt i32_min(APInt::getSignedMinValue(32).sext(63));
  EXPECT_EQ(32U, i32_min.countLeadingOnes());
  EXPECT_EQ(31U, i32_min.countTrailingZeros());
  EXPECT_EQ(32U, i32_min.countPopulation());

  APInt i32_neg1(APInt(32, ~uint64_t(0)).sext(63));
  EXPECT_EQ(63U, i32_neg1.countLeadingOnes());
  EXPECT_EQ(0U, i32_neg1.countTrailingZeros());
  EXPECT_EQ(63U, i32_neg1.countPopulation());
}

TEST(APIntTest, multiply) {
  APInt i64(64, 1234);

  EXPECT_EQ(7006652, i64 * 5678);
  EXPECT_EQ(7006652, 5678 * i64);

  APInt i128 = APInt::getOneBitSet(128, 64);
  APInt i128_1234(128, 1234);
  i128_1234 <<= 64;
  EXPECT_EQ(i128_1234, i128 * 1234);
  EXPECT_EQ(i128_1234, 1234 * i128);

  APInt i96 = APInt::getOneBitSet(96, 64);
  i96 *= ~0ULL;
  EXPECT_EQ(32U, i96.countLeadingOnes());
  EXPECT_EQ(32U, i96.countPopulation());
  EXPECT_EQ(64U, i96.countTrailingZeros());
}

TEST(APIntTest, RoundingUDiv) {
  for (uint64_t Ai = 1; Ai <= 255; Ai++) {
    APInt A(8, Ai);
    APInt Zero(8, 0);
    EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::UP));
    EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::DOWN));
    EXPECT_EQ(0, APIntOps::RoundingUDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));

    for (uint64_t Bi = 1; Bi <= 255; Bi++) {
      APInt B(8, Bi);
      {
        APInt Quo = APIntOps::RoundingUDiv(A, B, APInt::Rounding::UP);
        auto Prod = Quo.zext(16) * B.zext(16);
        EXPECT_TRUE(Prod.uge(Ai));
        if (Prod.ugt(Ai)) {
          EXPECT_TRUE(((Quo - 1).zext(16) * B.zext(16)).ult(Ai));
        }
      }
      {
        APInt Quo = A.udiv(B);
        EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::TOWARD_ZERO));
        EXPECT_EQ(Quo, APIntOps::RoundingUDiv(A, B, APInt::Rounding::DOWN));
      }
    }
  }
}

TEST(APIntTest, RoundingSDiv) {
  for (int64_t Ai = -128; Ai <= 127; Ai++) {
    APInt A(8, Ai);

    if (Ai != 0) {
      APInt Zero(8, 0);
      EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::UP));
      EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::DOWN));
      EXPECT_EQ(0, APIntOps::RoundingSDiv(Zero, A, APInt::Rounding::TOWARD_ZERO));
    }

    for (uint64_t Bi = -128; Bi <= 127; Bi++) {
      if (Bi == 0)
        continue;

      APInt B(8, Bi);
      {
        APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::UP);
        auto Prod = Quo.sext(16) * B.sext(16);
        EXPECT_TRUE(Prod.uge(A));
        if (Prod.ugt(A)) {
          EXPECT_TRUE(((Quo - 1).sext(16) * B.sext(16)).ult(A));
        }
      }
      {
        APInt Quo = APIntOps::RoundingSDiv(A, B, APInt::Rounding::DOWN);
        auto Prod = Quo.sext(16) * B.sext(16);
        EXPECT_TRUE(Prod.ule(A));
        if (Prod.ult(A)) {
          EXPECT_TRUE(((Quo + 1).sext(16) * B.sext(16)).ugt(A));
        }
      }
      {
        APInt Quo = A.sdiv(B);
        EXPECT_EQ(Quo, APIntOps::RoundingSDiv(A, B, APInt::Rounding::TOWARD_ZERO));
      }
    }
  }
}

TEST(APIntTest, umul_ov) {
  const std::pair<uint64_t, uint64_t> Overflows[] = {
      {0x8000000000000000, 2},
      {0x5555555555555556, 3},
      {4294967296, 4294967296},
      {4294967295, 4294967298},
  };
  const std::pair<uint64_t, uint64_t> NonOverflows[] = {
      {0x7fffffffffffffff, 2},
      {0x5555555555555555, 3},
      {4294967295, 4294967297},
  };

  bool Overflow;
  for (auto &X : Overflows) {
    APInt A(64, X.first);
    APInt B(64, X.second);
    (void)A.umul_ov(B, Overflow);
    EXPECT_TRUE(Overflow);
  }
  for (auto &X : NonOverflows) {
    APInt A(64, X.first);
    APInt B(64, X.second);
    (void)A.umul_ov(B, Overflow);
    EXPECT_FALSE(Overflow);
  }

  for (unsigned Bits = 1; Bits <= 5; ++Bits)
    for (unsigned A = 0; A != 1u << Bits; ++A)
      for (unsigned B = 0; B != 1u << Bits; ++B) {
        APInt C = APInt(Bits, A).umul_ov(APInt(Bits, B), Overflow);
        APInt D = APInt(2 * Bits, A) * APInt(2 * Bits, B);
        EXPECT_TRUE(D.getHiBits(Bits).isNullValue() != Overflow);
      }
}

TEST(APIntTest, SolveQuadraticEquationWrap) {
  // Verify that "Solution" is the first non-negative integer that solves
  // Ax^2 + Bx + C = "0 or overflow", i.e. that it is a correct solution
  // as calculated by SolveQuadraticEquationWrap.
  auto Validate = [] (int A, int B, int C, unsigned Width, int Solution) {
    int Mask = (1 << Width) - 1;

    // Solution should be non-negative.
    EXPECT_GE(Solution, 0);

    auto OverflowBits = [] (int64_t V, unsigned W) {
      return V & -(1 << W);
    };

    int64_t Over0 = OverflowBits(C, Width);

    auto IsZeroOrOverflow = [&] (int X) {
      int64_t ValueAtX = A*X*X + B*X + C;
      int64_t OverX = OverflowBits(ValueAtX, Width);
      return (ValueAtX & Mask) == 0 || OverX != Over0;
    };

    auto EquationToString = [&] (const char *X_str) {
      return (Twine(A) + Twine(X_str) + Twine("^2 + ") + Twine(B) +
              Twine(X_str) + Twine(" + ") + Twine(C) + Twine(", bitwidth: ") +
              Twine(Width)).str();
    };

    auto IsSolution = [&] (const char *X_str, int X) {
      if (IsZeroOrOverflow(X))
        return ::testing::AssertionSuccess()
                  << X << " is a solution of " << EquationToString(X_str);
      return ::testing::AssertionFailure()
                << X << " is not an expected solution of "
                << EquationToString(X_str);
    };

    auto IsNotSolution = [&] (const char *X_str, int X) {
      if (!IsZeroOrOverflow(X))
        return ::testing::AssertionSuccess()
                  << X << " is not a solution of " << EquationToString(X_str);
      return ::testing::AssertionFailure()
                << X << " is an unexpected solution of "
                << EquationToString(X_str);
    };

    // This is the important part: make sure that there is no solution that
    // is less than the calculated one.
    if (Solution > 0) {
      for (int X = 1; X < Solution-1; ++X)
        EXPECT_PRED_FORMAT1(IsNotSolution, X);
    }

    // Verify that the calculated solution is indeed a solution.
    EXPECT_PRED_FORMAT1(IsSolution, Solution);
  };

  // Generate all possible quadratic equations with Width-bit wide integer
  // coefficients, get the solution from SolveQuadraticEquationWrap, and
  // verify that the solution is correct.
  auto Iterate = [&] (unsigned Width) {
    assert(1 < Width && Width < 32);
    int Low = -(1 << (Width-1));
    int High = (1 << (Width-1));

    for (int A = Low; A != High; ++A) {
      if (A == 0)
        continue;
      for (int B = Low; B != High; ++B) {
        for (int C = Low; C != High; ++C) {
          Optional<APInt> S = APIntOps::SolveQuadraticEquationWrap(
                                APInt(Width, A), APInt(Width, B),
                                APInt(Width, C), Width);
          if (S.hasValue())
            Validate(A, B, C, Width, S->getSExtValue());
        }
      }
    }
  };

  // Test all widths in [2..6].
  for (unsigned i = 2; i <= 6; ++i)
    Iterate(i);
}

TEST(APIntTest, MultiplicativeInverseExaustive) {
  for (unsigned BitWidth = 1; BitWidth <= 16; ++BitWidth) {
    for (unsigned Value = 0; Value < (1u << BitWidth); ++Value) {
      APInt V = APInt(BitWidth, Value);
      APInt MulInv =
          V.zext(BitWidth + 1)
              .multiplicativeInverse(APInt::getSignedMinValue(BitWidth + 1))
              .trunc(BitWidth);
      APInt One = V * MulInv;
      if (!V.isNullValue() && V.countTrailingZeros() == 0) {
        // Multiplicative inverse exists for all odd numbers.
        EXPECT_TRUE(One.isOneValue());
      } else {
        // Multiplicative inverse does not exist for even numbers (and 0).
        EXPECT_TRUE(MulInv.isNullValue());
      }
    }
  }
}

} // end anonymous namespace