template<typename T>
void SaturatingAddTestHelper()
{
- EXPECT_EQ(static_cast<T>(3),
- SaturatingAdd(static_cast<T>(1), static_cast<T>(2)));
- EXPECT_EQ(std::numeric_limits<T>::max(),
- SaturatingAdd(std::numeric_limits<T>::max(), static_cast<T>(1)));
- EXPECT_EQ(std::numeric_limits<T>::max(),
- SaturatingAdd(static_cast<T>(1), std::numeric_limits<T>::max()));
- EXPECT_EQ(std::numeric_limits<T>::max(),
- SaturatingAdd(std::numeric_limits<T>::max(),
- std::numeric_limits<T>::max()));
+ const T Max = std::numeric_limits<T>::max();
+ EXPECT_EQ(T(3), SaturatingAdd(T(1), T(2)));
+ EXPECT_EQ(Max, SaturatingAdd(Max, T(1)));
+ EXPECT_EQ(Max, SaturatingAdd(T(1), Max));
+ EXPECT_EQ(Max, SaturatingAdd(Max, Max));
}
TEST(MathExtras, SaturatingAdd) {
template<typename T>
void SaturatingMultiplyTestHelper()
{
- EXPECT_EQ(static_cast<T>(0),
- SaturatingMultiply(static_cast<T>(1), static_cast<T>(0)));
- EXPECT_EQ(static_cast<T>(0),
- SaturatingMultiply(static_cast<T>(0), static_cast<T>(1)));
- EXPECT_EQ(static_cast<T>(6),
- SaturatingMultiply(static_cast<T>(2), static_cast<T>(3)));
- EXPECT_EQ(std::numeric_limits<T>::max(),
- SaturatingMultiply(std::numeric_limits<T>::max(),
- static_cast<T>(2)));
- EXPECT_EQ(std::numeric_limits<T>::max(),
- SaturatingMultiply(static_cast<T>(2),
- std::numeric_limits<T>::max()));
- EXPECT_EQ(std::numeric_limits<T>::max(),
- SaturatingMultiply(std::numeric_limits<T>::max(),
- std::numeric_limits<T>::max()));
+ const T Max = std::numeric_limits<T>::max();
+
+ // Test basic multiplication.
+ EXPECT_EQ(T(6), SaturatingMultiply(T(2), T(3)));
+ EXPECT_EQ(T(6), SaturatingMultiply(T(3), T(2)));
+
+ // Test multiplication by zero.
+ EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(0)));
+ EXPECT_EQ(T(0), SaturatingMultiply(T(1), T(0)));
+ EXPECT_EQ(T(0), SaturatingMultiply(T(0), T(1)));
+ EXPECT_EQ(T(0), SaturatingMultiply(Max, T(0)));
+ EXPECT_EQ(T(0), SaturatingMultiply(T(0), Max));
+
+ // Test multiplication by maximum value.
+ EXPECT_EQ(Max, SaturatingMultiply(Max, T(2)));
+ EXPECT_EQ(Max, SaturatingMultiply(T(2),Max));
+ EXPECT_EQ(Max, SaturatingMultiply(Max, Max));
+
+ // 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));
+ } else {
+ EXPECT_EQ(X * Y, SaturatingMultiply(X, Y));
+ }
+ }
+ }
}
TEST(MathExtras, SaturatingMultiply) {