forked from OSchip/llvm-project
391 lines
12 KiB
C++
391 lines
12 KiB
C++
//===- unittests/Support/MathExtrasTest.cpp - math utils tests ------------===//
|
|
//
|
|
// The LLVM Compiler Infrastructure
|
|
//
|
|
// This file is distributed under the University of Illinois Open Source
|
|
// License. See LICENSE.TXT for details.
|
|
//
|
|
//===----------------------------------------------------------------------===//
|
|
|
|
#include "gtest/gtest.h"
|
|
#include "llvm/Support/MathExtras.h"
|
|
|
|
using namespace llvm;
|
|
|
|
namespace {
|
|
|
|
TEST(MathExtras, countTrailingZeros) {
|
|
uint8_t Z8 = 0;
|
|
uint16_t Z16 = 0;
|
|
uint32_t Z32 = 0;
|
|
uint64_t Z64 = 0;
|
|
EXPECT_EQ(8u, countTrailingZeros(Z8));
|
|
EXPECT_EQ(16u, countTrailingZeros(Z16));
|
|
EXPECT_EQ(32u, countTrailingZeros(Z32));
|
|
EXPECT_EQ(64u, countTrailingZeros(Z64));
|
|
|
|
uint8_t NZ8 = 42;
|
|
uint16_t NZ16 = 42;
|
|
uint32_t NZ32 = 42;
|
|
uint64_t NZ64 = 42;
|
|
EXPECT_EQ(1u, countTrailingZeros(NZ8));
|
|
EXPECT_EQ(1u, countTrailingZeros(NZ16));
|
|
EXPECT_EQ(1u, countTrailingZeros(NZ32));
|
|
EXPECT_EQ(1u, countTrailingZeros(NZ64));
|
|
}
|
|
|
|
TEST(MathExtras, countLeadingZeros) {
|
|
uint8_t Z8 = 0;
|
|
uint16_t Z16 = 0;
|
|
uint32_t Z32 = 0;
|
|
uint64_t Z64 = 0;
|
|
EXPECT_EQ(8u, countLeadingZeros(Z8));
|
|
EXPECT_EQ(16u, countLeadingZeros(Z16));
|
|
EXPECT_EQ(32u, countLeadingZeros(Z32));
|
|
EXPECT_EQ(64u, countLeadingZeros(Z64));
|
|
|
|
uint8_t NZ8 = 42;
|
|
uint16_t NZ16 = 42;
|
|
uint32_t NZ32 = 42;
|
|
uint64_t NZ64 = 42;
|
|
EXPECT_EQ(2u, countLeadingZeros(NZ8));
|
|
EXPECT_EQ(10u, countLeadingZeros(NZ16));
|
|
EXPECT_EQ(26u, countLeadingZeros(NZ32));
|
|
EXPECT_EQ(58u, countLeadingZeros(NZ64));
|
|
|
|
EXPECT_EQ(8u, countLeadingZeros(0x00F000FFu));
|
|
EXPECT_EQ(8u, countLeadingZeros(0x00F12345u));
|
|
for (unsigned i = 0; i <= 30; ++i) {
|
|
EXPECT_EQ(31 - i, countLeadingZeros(1u << i));
|
|
}
|
|
|
|
EXPECT_EQ(8u, countLeadingZeros(0x00F1234500F12345ULL));
|
|
EXPECT_EQ(1u, countLeadingZeros(1ULL << 62));
|
|
for (unsigned i = 0; i <= 62; ++i) {
|
|
EXPECT_EQ(63 - i, countLeadingZeros(1ULL << i));
|
|
}
|
|
}
|
|
|
|
TEST(MathExtras, findFirstSet) {
|
|
uint8_t Z8 = 0;
|
|
uint16_t Z16 = 0;
|
|
uint32_t Z32 = 0;
|
|
uint64_t Z64 = 0;
|
|
EXPECT_EQ(0xFFULL, findFirstSet(Z8));
|
|
EXPECT_EQ(0xFFFFULL, findFirstSet(Z16));
|
|
EXPECT_EQ(0xFFFFFFFFULL, findFirstSet(Z32));
|
|
EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, findFirstSet(Z64));
|
|
|
|
uint8_t NZ8 = 42;
|
|
uint16_t NZ16 = 42;
|
|
uint32_t NZ32 = 42;
|
|
uint64_t NZ64 = 42;
|
|
EXPECT_EQ(1u, findFirstSet(NZ8));
|
|
EXPECT_EQ(1u, findFirstSet(NZ16));
|
|
EXPECT_EQ(1u, findFirstSet(NZ32));
|
|
EXPECT_EQ(1u, findFirstSet(NZ64));
|
|
}
|
|
|
|
TEST(MathExtras, findLastSet) {
|
|
uint8_t Z8 = 0;
|
|
uint16_t Z16 = 0;
|
|
uint32_t Z32 = 0;
|
|
uint64_t Z64 = 0;
|
|
EXPECT_EQ(0xFFULL, findLastSet(Z8));
|
|
EXPECT_EQ(0xFFFFULL, findLastSet(Z16));
|
|
EXPECT_EQ(0xFFFFFFFFULL, findLastSet(Z32));
|
|
EXPECT_EQ(0xFFFFFFFFFFFFFFFFULL, findLastSet(Z64));
|
|
|
|
uint8_t NZ8 = 42;
|
|
uint16_t NZ16 = 42;
|
|
uint32_t NZ32 = 42;
|
|
uint64_t NZ64 = 42;
|
|
EXPECT_EQ(5u, findLastSet(NZ8));
|
|
EXPECT_EQ(5u, findLastSet(NZ16));
|
|
EXPECT_EQ(5u, findLastSet(NZ32));
|
|
EXPECT_EQ(5u, findLastSet(NZ64));
|
|
}
|
|
|
|
TEST(MathExtras, isIntN) {
|
|
EXPECT_TRUE(isIntN(16, 32767));
|
|
EXPECT_FALSE(isIntN(16, 32768));
|
|
}
|
|
|
|
TEST(MathExtras, isUIntN) {
|
|
EXPECT_TRUE(isUIntN(16, 65535));
|
|
EXPECT_FALSE(isUIntN(16, 65536));
|
|
EXPECT_TRUE(isUIntN(1, 0));
|
|
EXPECT_TRUE(isUIntN(6, 63));
|
|
}
|
|
|
|
TEST(MathExtras, maxIntN) {
|
|
EXPECT_EQ(32767, maxIntN(16));
|
|
EXPECT_EQ(2147483647, maxIntN(32));
|
|
}
|
|
|
|
TEST(MathExtras, minIntN) {
|
|
EXPECT_EQ(-32768LL, minIntN(16));
|
|
EXPECT_EQ(-64LL, minIntN(7));
|
|
}
|
|
|
|
TEST(MathExtras, maxUIntN) {
|
|
EXPECT_EQ(0xffffULL, maxUIntN(16));
|
|
EXPECT_EQ(0xffffffffULL, maxUIntN(32));
|
|
EXPECT_EQ(1ULL, maxUIntN(1));
|
|
EXPECT_EQ(0x0fULL, maxUIntN(4));
|
|
}
|
|
|
|
TEST(MathExtras, reverseBits) {
|
|
uint8_t NZ8 = 42;
|
|
uint16_t NZ16 = 42;
|
|
uint32_t NZ32 = 42;
|
|
uint64_t NZ64 = 42;
|
|
EXPECT_EQ(0x54ULL, reverseBits(NZ8));
|
|
EXPECT_EQ(0x5400ULL, reverseBits(NZ16));
|
|
EXPECT_EQ(0x54000000ULL, reverseBits(NZ32));
|
|
EXPECT_EQ(0x5400000000000000ULL, reverseBits(NZ64));
|
|
}
|
|
|
|
TEST(MathExtras, isPowerOf2_32) {
|
|
EXPECT_TRUE(isPowerOf2_32(1 << 6));
|
|
EXPECT_TRUE(isPowerOf2_32(1 << 12));
|
|
EXPECT_FALSE(isPowerOf2_32((1 << 19) + 3));
|
|
EXPECT_FALSE(isPowerOf2_32(0xABCDEF0));
|
|
}
|
|
|
|
TEST(MathExtras, isPowerOf2_64) {
|
|
EXPECT_TRUE(isPowerOf2_64(1LL << 46));
|
|
EXPECT_TRUE(isPowerOf2_64(1LL << 12));
|
|
EXPECT_FALSE(isPowerOf2_64((1LL << 53) + 3));
|
|
EXPECT_FALSE(isPowerOf2_64(0xABCDEF0ABCDEF0LL));
|
|
}
|
|
|
|
TEST(MathExtras, ByteSwap_32) {
|
|
EXPECT_EQ(0x44332211u, ByteSwap_32(0x11223344));
|
|
EXPECT_EQ(0xDDCCBBAAu, ByteSwap_32(0xAABBCCDD));
|
|
}
|
|
|
|
TEST(MathExtras, ByteSwap_64) {
|
|
EXPECT_EQ(0x8877665544332211ULL, ByteSwap_64(0x1122334455667788LL));
|
|
EXPECT_EQ(0x1100FFEEDDCCBBAAULL, ByteSwap_64(0xAABBCCDDEEFF0011LL));
|
|
}
|
|
|
|
TEST(MathExtras, countLeadingOnes) {
|
|
for (int i = 30; i >= 0; --i) {
|
|
// Start with all ones and unset some bit.
|
|
EXPECT_EQ(31u - i, countLeadingOnes(0xFFFFFFFF ^ (1 << i)));
|
|
}
|
|
for (int i = 62; i >= 0; --i) {
|
|
// Start with all ones and unset some bit.
|
|
EXPECT_EQ(63u - i, countLeadingOnes(0xFFFFFFFFFFFFFFFFULL ^ (1LL << i)));
|
|
}
|
|
for (int i = 30; i >= 0; --i) {
|
|
// Start with all ones and unset some bit.
|
|
EXPECT_EQ(31u - i, countLeadingOnes(0xFFFFFFFF ^ (1 << i)));
|
|
}
|
|
}
|
|
|
|
TEST(MathExtras, FloatBits) {
|
|
static const float kValue = 5632.34f;
|
|
EXPECT_FLOAT_EQ(kValue, BitsToFloat(FloatToBits(kValue)));
|
|
}
|
|
|
|
TEST(MathExtras, DoubleBits) {
|
|
static const double kValue = 87987234.983498;
|
|
EXPECT_DOUBLE_EQ(kValue, BitsToDouble(DoubleToBits(kValue)));
|
|
}
|
|
|
|
TEST(MathExtras, MinAlign) {
|
|
EXPECT_EQ(1u, MinAlign(2, 3));
|
|
EXPECT_EQ(2u, MinAlign(2, 4));
|
|
EXPECT_EQ(1u, MinAlign(17, 64));
|
|
EXPECT_EQ(256u, MinAlign(256, 512));
|
|
}
|
|
|
|
TEST(MathExtras, NextPowerOf2) {
|
|
EXPECT_EQ(4u, NextPowerOf2(3));
|
|
EXPECT_EQ(16u, NextPowerOf2(15));
|
|
EXPECT_EQ(256u, NextPowerOf2(128));
|
|
}
|
|
|
|
TEST(MathExtras, alignTo) {
|
|
EXPECT_EQ(8u, alignTo(5, 8));
|
|
EXPECT_EQ(24u, alignTo(17, 8));
|
|
EXPECT_EQ(0u, alignTo(~0LL, 8));
|
|
|
|
EXPECT_EQ(7u, alignTo(5, 8, 7));
|
|
EXPECT_EQ(17u, alignTo(17, 8, 1));
|
|
EXPECT_EQ(3u, alignTo(~0LL, 8, 3));
|
|
EXPECT_EQ(552u, alignTo(321, 255, 42));
|
|
}
|
|
|
|
template<typename T>
|
|
void SaturatingAddTestHelper()
|
|
{
|
|
const T Max = std::numeric_limits<T>::max();
|
|
bool ResultOverflowed;
|
|
|
|
EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2)));
|
|
EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingAdd(Max, T(1)));
|
|
EXPECT_EQ(Max, SaturatingAdd(Max, T(1), &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1)));
|
|
EXPECT_EQ(Max, SaturatingAdd(T(1), T(Max - 1), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingAdd(T(1), Max));
|
|
EXPECT_EQ(Max, SaturatingAdd(T(1), Max, &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingAdd(Max, Max));
|
|
EXPECT_EQ(Max, SaturatingAdd(Max, Max, &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
}
|
|
|
|
TEST(MathExtras, SaturatingAdd) {
|
|
SaturatingAddTestHelper<uint8_t>();
|
|
SaturatingAddTestHelper<uint16_t>();
|
|
SaturatingAddTestHelper<uint32_t>();
|
|
SaturatingAddTestHelper<uint64_t>();
|
|
}
|
|
|
|
template<typename T>
|
|
void SaturatingMultiplyTestHelper()
|
|
{
|
|
const T Max = std::numeric_limits<T>::max();
|
|
bool ResultOverflowed;
|
|
|
|
// Test basic multiplication.
|
|
EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3)));
|
|
EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2)));
|
|
EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
// Test multiplication by zero.
|
|
EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0)));
|
|
EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0)));
|
|
EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1)));
|
|
EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0)));
|
|
EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max));
|
|
EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max, &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
// Test multiplication by maximum value.
|
|
EXPECT_EQ(Max, SaturatingMultiply(Max, T(2)));
|
|
EXPECT_EQ(Max, SaturatingMultiply(Max, T(2), &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingMultiply(T(2), Max));
|
|
EXPECT_EQ(Max, SaturatingMultiply(T(2), Max, &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingMultiply(Max, Max));
|
|
EXPECT_EQ(Max, SaturatingMultiply(Max, Max, &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
// Test interesting boundary conditions for algorithm -
|
|
// ((1 << A) - 1) * ((1 << B) + K) for K in [-1, 0, 1]
|
|
// and A + B == std::numeric_limits<T>::digits.
|
|
// We expect overflow iff A > B and K = 1.
|
|
const int Digits = std::numeric_limits<T>::digits;
|
|
for (int A = 1, B = Digits - 1; B >= 1; ++A, --B) {
|
|
for (int K = -1; K <= 1; ++K) {
|
|
T X = (T(1) << A) - T(1);
|
|
T Y = (T(1) << B) + K;
|
|
bool OverflowExpected = A > B && K == 1;
|
|
|
|
if(OverflowExpected) {
|
|
EXPECT_EQ(Max, SaturatingMultiply(X, Y));
|
|
EXPECT_EQ(Max, SaturatingMultiply(X, Y, &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
} else {
|
|
EXPECT_EQ(X * Y, SaturatingMultiply(X, Y));
|
|
EXPECT_EQ(X * Y, SaturatingMultiply(X, Y, &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
TEST(MathExtras, SaturatingMultiply) {
|
|
SaturatingMultiplyTestHelper<uint8_t>();
|
|
SaturatingMultiplyTestHelper<uint16_t>();
|
|
SaturatingMultiplyTestHelper<uint32_t>();
|
|
SaturatingMultiplyTestHelper<uint64_t>();
|
|
}
|
|
|
|
template<typename T>
|
|
void SaturatingMultiplyAddTestHelper()
|
|
{
|
|
const T Max = std::numeric_limits<T>::max();
|
|
bool ResultOverflowed;
|
|
|
|
// Test basic multiply-add.
|
|
EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10)));
|
|
EXPECT_EQ(T(16), SaturatingMultiplyAdd(T(2), T(3), T(10), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
// Test multiply overflows, add doesn't overflow
|
|
EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(0), &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
// Test multiply doesn't overflow, add overflows
|
|
EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
// Test multiply-add with Max as operand
|
|
EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), T(1), Max, &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingMultiplyAdd(T(1), Max, T(1), &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, T(1), &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(Max, SaturatingMultiplyAdd(Max, Max, Max, &ResultOverflowed));
|
|
EXPECT_TRUE(ResultOverflowed);
|
|
|
|
// Test multiply-add with 0 as operand
|
|
EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(1), T(0), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(1), T(0), T(1), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(T(1), SaturatingMultiplyAdd(T(0), T(0), T(1), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
EXPECT_EQ(T(0), SaturatingMultiplyAdd(T(0), T(0), T(0), &ResultOverflowed));
|
|
EXPECT_FALSE(ResultOverflowed);
|
|
|
|
}
|
|
|
|
TEST(MathExtras, SaturatingMultiplyAdd) {
|
|
SaturatingMultiplyAddTestHelper<uint8_t>();
|
|
SaturatingMultiplyAddTestHelper<uint16_t>();
|
|
SaturatingMultiplyAddTestHelper<uint32_t>();
|
|
SaturatingMultiplyAddTestHelper<uint64_t>();
|
|
}
|
|
|
|
}
|