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-rw-r--r--base/safe_numerics_unittest.cc1640
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diff --git a/base/safe_numerics_unittest.cc b/base/safe_numerics_unittest.cc
new file mode 100644
index 0000000000..44675cf72c
--- /dev/null
+++ b/base/safe_numerics_unittest.cc
@@ -0,0 +1,1640 @@
+// Copyright 2013 The Chromium Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style license that can be
+// found in the LICENSE file.
+
+#include <stddef.h>
+#include <stdint.h>
+
+#include <limits>
+#include <type_traits>
+
+#include "base/compiler_specific.h"
+
+// WARNING: This block must come before the base/numerics headers are included.
+// These tests deliberately cause arithmetic boundary errors. If the compiler is
+// aggressive enough, it can const detect these errors, so we disable warnings.
+#if defined(OS_WIN)
+#pragma warning(disable : 4756) // Arithmetic overflow.
+#pragma warning(disable : 4293) // Invalid shift.
+#endif
+
+// This may not need to come before the base/numerics headers, but let's keep
+// it close to the MSVC equivalent.
+#if defined(__clang__)
+#pragma clang diagnostic push
+#pragma clang diagnostic ignored "-Winteger-overflow"
+#endif
+
+#include "base/logging.h"
+#include "base/numerics/safe_conversions.h"
+#include "base/numerics/safe_math.h"
+#include "base/test/gtest_util.h"
+#include "build/build_config.h"
+#include "testing/gtest/include/gtest/gtest.h"
+
+#if defined(COMPILER_MSVC) && defined(ARCH_CPU_32_BITS)
+#include <mmintrin.h>
+#endif
+
+namespace base {
+namespace internal {
+
+using std::numeric_limits;
+
+// This is a helper function for finding the maximum value in Src that can be
+// wholy represented as the destination floating-point type.
+template <typename Dst, typename Src>
+Dst GetMaxConvertibleToFloat() {
+ using DstLimits = numeric_limits<Dst>;
+ using SrcLimits = numeric_limits<Src>;
+ static_assert(SrcLimits::is_specialized, "Source must be numeric.");
+ static_assert(DstLimits::is_specialized, "Destination must be numeric.");
+ CHECK(DstLimits::is_iec559);
+
+ if (SrcLimits::digits <= DstLimits::digits &&
+ MaxExponent<Src>::value <= MaxExponent<Dst>::value)
+ return SrcLimits::max();
+ Src max = SrcLimits::max() / 2 + (SrcLimits::is_integer ? 1 : 0);
+ while (max != static_cast<Src>(static_cast<Dst>(max))) {
+ max /= 2;
+ }
+ return static_cast<Dst>(max);
+}
+
+// Test corner case promotions used
+static_assert(IsIntegerArithmeticSafe<int32_t, int8_t, int8_t>::value, "");
+static_assert(IsIntegerArithmeticSafe<int32_t, int16_t, int8_t>::value, "");
+static_assert(IsIntegerArithmeticSafe<int32_t, int8_t, int16_t>::value, "");
+static_assert(!IsIntegerArithmeticSafe<int32_t, int32_t, int8_t>::value, "");
+static_assert(BigEnoughPromotion<int16_t, int8_t>::is_contained, "");
+static_assert(BigEnoughPromotion<int32_t, uint32_t>::is_contained, "");
+static_assert(BigEnoughPromotion<intmax_t, int8_t>::is_contained, "");
+static_assert(!BigEnoughPromotion<uintmax_t, int8_t>::is_contained, "");
+static_assert(
+ std::is_same<BigEnoughPromotion<int16_t, int8_t>::type, int16_t>::value,
+ "");
+static_assert(
+ std::is_same<BigEnoughPromotion<int32_t, uint32_t>::type, int64_t>::value,
+ "");
+static_assert(
+ std::is_same<BigEnoughPromotion<intmax_t, int8_t>::type, intmax_t>::value,
+ "");
+static_assert(
+ std::is_same<BigEnoughPromotion<uintmax_t, int8_t>::type, uintmax_t>::value,
+ "");
+static_assert(BigEnoughPromotion<int16_t, int8_t>::is_contained, "");
+static_assert(BigEnoughPromotion<int32_t, uint32_t>::is_contained, "");
+static_assert(BigEnoughPromotion<intmax_t, int8_t>::is_contained, "");
+static_assert(!BigEnoughPromotion<uintmax_t, int8_t>::is_contained, "");
+static_assert(
+ std::is_same<FastIntegerArithmeticPromotion<int16_t, int8_t>::type,
+ int32_t>::value,
+ "");
+static_assert(
+ std::is_same<FastIntegerArithmeticPromotion<int32_t, uint32_t>::type,
+ int64_t>::value,
+ "");
+static_assert(
+ std::is_same<FastIntegerArithmeticPromotion<intmax_t, int8_t>::type,
+ intmax_t>::value,
+ "");
+static_assert(
+ std::is_same<FastIntegerArithmeticPromotion<uintmax_t, int8_t>::type,
+ uintmax_t>::value,
+ "");
+static_assert(FastIntegerArithmeticPromotion<int16_t, int8_t>::is_contained,
+ "");
+static_assert(FastIntegerArithmeticPromotion<int32_t, uint32_t>::is_contained,
+ "");
+static_assert(!FastIntegerArithmeticPromotion<intmax_t, int8_t>::is_contained,
+ "");
+static_assert(!FastIntegerArithmeticPromotion<uintmax_t, int8_t>::is_contained,
+ "");
+
+template <typename U>
+U GetNumericValueForTest(const CheckedNumeric<U>& src) {
+ return src.state_.value();
+}
+
+template <typename U>
+U GetNumericValueForTest(const ClampedNumeric<U>& src) {
+ return static_cast<U>(src);
+}
+
+template <typename U>
+U GetNumericValueForTest(const U& src) {
+ return src;
+}
+
+// Logs the ValueOrDie() failure instead of crashing.
+struct LogOnFailure {
+ template <typename T>
+ static T HandleFailure() {
+ LOG(WARNING) << "ValueOrDie() failed unexpectedly.";
+ return T();
+ }
+};
+
+template <typename T>
+constexpr T GetValue(const T& src) {
+ return src;
+}
+
+template <typename T, typename U>
+constexpr T GetValueAsDest(const U& src) {
+ return static_cast<T>(src);
+}
+
+template <typename T>
+constexpr T GetValue(const CheckedNumeric<T>& src) {
+ return src.template ValueOrDie<T, LogOnFailure>();
+}
+
+template <typename T, typename U>
+constexpr T GetValueAsDest(const CheckedNumeric<U>& src) {
+ return src.template ValueOrDie<T, LogOnFailure>();
+}
+
+template <typename T>
+constexpr T GetValue(const ClampedNumeric<T>& src) {
+ return static_cast<T>(src);
+}
+
+template <typename T, typename U>
+constexpr T GetValueAsDest(const ClampedNumeric<U>& src) {
+ return static_cast<T>(src);
+}
+
+// Helper macros to wrap displaying the conversion types and line numbers.
+#define TEST_EXPECTED_VALIDITY(expected, actual) \
+ EXPECT_EQ(expected, (actual).template Cast<Dst>().IsValid()) \
+ << "Result test: Value " << GetNumericValueForTest(actual) << " as " \
+ << dst << " on line " << line
+
+#define TEST_EXPECTED_SUCCESS(actual) TEST_EXPECTED_VALIDITY(true, actual)
+#define TEST_EXPECTED_FAILURE(actual) TEST_EXPECTED_VALIDITY(false, actual)
+
+// We have to handle promotions, so infer the underlying type below from actual.
+#define TEST_EXPECTED_VALUE(expected, actual) \
+ EXPECT_EQ(GetValue(expected), GetValueAsDest<decltype(expected)>(actual)) \
+ << "Result test: Value " << GetNumericValueForTest(actual) << " as " \
+ << dst << " on line " << line
+
+// Test the simple pointer arithmetic overrides.
+template <typename Dst>
+void TestStrictPointerMath() {
+ Dst dummy_value = 0;
+ Dst* dummy_ptr = &dummy_value;
+ static const Dst kDummyOffset = 2; // Don't want to go too far.
+ EXPECT_EQ(dummy_ptr + kDummyOffset,
+ dummy_ptr + StrictNumeric<Dst>(kDummyOffset));
+ EXPECT_EQ(dummy_ptr - kDummyOffset,
+ dummy_ptr - StrictNumeric<Dst>(kDummyOffset));
+ EXPECT_NE(dummy_ptr, dummy_ptr + StrictNumeric<Dst>(kDummyOffset));
+ EXPECT_NE(dummy_ptr, dummy_ptr - StrictNumeric<Dst>(kDummyOffset));
+ EXPECT_DEATH_IF_SUPPORTED(
+ dummy_ptr + StrictNumeric<size_t>(std::numeric_limits<size_t>::max()),
+ "");
+}
+
+// Signed integer arithmetic.
+template <typename Dst>
+static void TestSpecializedArithmetic(
+ const char* dst,
+ int line,
+ typename std::enable_if<numeric_limits<Dst>::is_integer &&
+ numeric_limits<Dst>::is_signed,
+ int>::type = 0) {
+ using DstLimits = SaturationDefaultLimits<Dst>;
+ TEST_EXPECTED_FAILURE(-CheckedNumeric<Dst>(DstLimits::lowest()));
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()).Abs());
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(-1).Abs());
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ MakeCheckedNum(-DstLimits::max()).Abs());
+
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ -ClampedNumeric<Dst>(DstLimits::lowest()));
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()).Abs());
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(-1).Abs());
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ MakeClampedNum(-DstLimits::max()).Abs());
+
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::max()) + -1);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) + -1);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) +
+ DstLimits::lowest());
+
+ TEST_EXPECTED_VALUE(DstLimits::max() - 1,
+ ClampedNumeric<Dst>(DstLimits::max()) + -1);
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) + -1);
+ TEST_EXPECTED_VALUE(
+ DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) + DstLimits::lowest());
+
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) - 1);
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::lowest()) - -1);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) -
+ DstLimits::lowest());
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) -
+ DstLimits::max());
+
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) - 1);
+ TEST_EXPECTED_VALUE(DstLimits::lowest() + 1,
+ ClampedNumeric<Dst>(DstLimits::lowest()) - -1);
+ TEST_EXPECTED_VALUE(
+ DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::max()) - DstLimits::lowest());
+ TEST_EXPECTED_VALUE(
+ DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) - DstLimits::max());
+
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) * 2);
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) * 2);
+
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) / -1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(-1) / 2);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) * -1);
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ CheckedNumeric<Dst>(DstLimits::lowest() + 1) * Dst(-1));
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ CheckedNumeric<Dst>(-1) * Dst(DstLimits::lowest() + 1));
+ TEST_EXPECTED_VALUE(DstLimits::lowest(),
+ CheckedNumeric<Dst>(DstLimits::lowest()) * Dst(1));
+ TEST_EXPECTED_VALUE(DstLimits::lowest(),
+ CheckedNumeric<Dst>(1) * Dst(DstLimits::lowest()));
+ TEST_EXPECTED_VALUE(
+ typename std::make_unsigned<Dst>::type(0) - DstLimits::lowest(),
+ MakeCheckedNum(DstLimits::lowest()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ MakeCheckedNum(DstLimits::max()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(0).UnsignedAbs());
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1).UnsignedAbs());
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(-1).UnsignedAbs());
+
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) / -1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(-1) / 2);
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) * -1);
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ ClampedNumeric<Dst>(DstLimits::lowest() + 1) * Dst(-1));
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ ClampedNumeric<Dst>(-1) * Dst(DstLimits::lowest() + 1));
+ TEST_EXPECTED_VALUE(DstLimits::lowest(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) * Dst(1));
+ TEST_EXPECTED_VALUE(DstLimits::lowest(),
+ ClampedNumeric<Dst>(1) * Dst(DstLimits::lowest()));
+ TEST_EXPECTED_VALUE(
+ typename std::make_unsigned<Dst>::type(0) - DstLimits::lowest(),
+ MakeClampedNum(DstLimits::lowest()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ MakeClampedNum(DstLimits::max()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(0).UnsignedAbs());
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1).UnsignedAbs());
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(-1).UnsignedAbs());
+
+ // Modulus is legal only for integers.
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>() % 1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) % 1);
+ TEST_EXPECTED_VALUE(-1, CheckedNumeric<Dst>(-1) % 2);
+ TEST_EXPECTED_VALUE(-1, CheckedNumeric<Dst>(-1) % -2);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(DstLimits::lowest()) % 2);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(DstLimits::max()) % 2);
+ // Test all the different modulus combinations.
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) % CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, 1 % CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) % 1);
+ CheckedNumeric<Dst> checked_dst = 1;
+ TEST_EXPECTED_VALUE(0, checked_dst %= 1);
+ // Test that div by 0 is avoided but returns invalid result.
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) % 0);
+ // Test bit shifts.
+ volatile Dst negative_one = -1;
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) << negative_one);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1)
+ << (IntegerBitsPlusSign<Dst>::value - 1));
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(0)
+ << IntegerBitsPlusSign<Dst>::value);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) << 1);
+ TEST_EXPECTED_VALUE(
+ static_cast<Dst>(1) << (IntegerBitsPlusSign<Dst>::value - 2),
+ CheckedNumeric<Dst>(1) << (IntegerBitsPlusSign<Dst>::value - 2));
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(0)
+ << (IntegerBitsPlusSign<Dst>::value - 1));
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) << 0);
+ TEST_EXPECTED_VALUE(2, CheckedNumeric<Dst>(1) << 1);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) >>
+ IntegerBitsPlusSign<Dst>::value);
+ TEST_EXPECTED_VALUE(
+ 0, CheckedNumeric<Dst>(1) >> (IntegerBitsPlusSign<Dst>::value - 1));
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) >> negative_one);
+
+ // Modulus is legal only for integers.
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>() % 1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) % 1);
+ TEST_EXPECTED_VALUE(-1, ClampedNumeric<Dst>(-1) % 2);
+ TEST_EXPECTED_VALUE(-1, ClampedNumeric<Dst>(-1) % -2);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(DstLimits::lowest()) % 2);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(DstLimits::max()) % 2);
+ // Test all the different modulus combinations.
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) % ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, 1 % ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) % 1);
+ ClampedNumeric<Dst> clamped_dst = 1;
+ TEST_EXPECTED_VALUE(0, clamped_dst %= 1);
+ TEST_EXPECTED_VALUE(Dst(1), ClampedNumeric<Dst>(1) % 0);
+ // Test bit shifts.
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(1)
+ << (IntegerBitsPlusSign<Dst>::value - 1U));
+ TEST_EXPECTED_VALUE(Dst(0), ClampedNumeric<Dst>(0)
+ << (IntegerBitsPlusSign<Dst>::value + 0U));
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::max()) << 1U);
+ TEST_EXPECTED_VALUE(
+ static_cast<Dst>(1) << (IntegerBitsPlusSign<Dst>::value - 2U),
+ ClampedNumeric<Dst>(1) << (IntegerBitsPlusSign<Dst>::value - 2U));
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(0)
+ << (IntegerBitsPlusSign<Dst>::value - 1U));
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) << 0U);
+ TEST_EXPECTED_VALUE(2, ClampedNumeric<Dst>(1) << 1U);
+ TEST_EXPECTED_VALUE(
+ 0, ClampedNumeric<Dst>(1) >> (IntegerBitsPlusSign<Dst>::value + 0U));
+ TEST_EXPECTED_VALUE(
+ 0, ClampedNumeric<Dst>(1) >> (IntegerBitsPlusSign<Dst>::value - 1U));
+ TEST_EXPECTED_VALUE(
+ -1, ClampedNumeric<Dst>(-1) >> (IntegerBitsPlusSign<Dst>::value - 1U));
+ TEST_EXPECTED_VALUE(-1, ClampedNumeric<Dst>(DstLimits::lowest()) >>
+ (IntegerBitsPlusSign<Dst>::value - 0U));
+
+ TestStrictPointerMath<Dst>();
+}
+
+// Unsigned integer arithmetic.
+template <typename Dst>
+static void TestSpecializedArithmetic(
+ const char* dst,
+ int line,
+ typename std::enable_if<numeric_limits<Dst>::is_integer &&
+ !numeric_limits<Dst>::is_signed,
+ int>::type = 0) {
+ using DstLimits = SaturationDefaultLimits<Dst>;
+ TEST_EXPECTED_SUCCESS(-CheckedNumeric<Dst>(DstLimits::lowest()));
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::lowest()).Abs());
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) + -1);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) - 1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(DstLimits::lowest()) * 2);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) / 2);
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::lowest()).UnsignedAbs());
+ TEST_EXPECTED_SUCCESS(
+ CheckedNumeric<typename std::make_signed<Dst>::type>(
+ std::numeric_limits<typename std::make_signed<Dst>::type>::lowest())
+ .UnsignedAbs());
+ TEST_EXPECTED_VALUE(DstLimits::lowest(),
+ MakeCheckedNum(DstLimits::lowest()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ MakeCheckedNum(DstLimits::max()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(0).UnsignedAbs());
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1).UnsignedAbs());
+
+ TEST_EXPECTED_VALUE(0, -ClampedNumeric<Dst>(DstLimits::lowest()));
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(DstLimits::lowest()).Abs());
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) + -1);
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) - 1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(DstLimits::lowest()) * 2);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) / 2);
+ TEST_EXPECTED_VALUE(0,
+ ClampedNumeric<Dst>(DstLimits::lowest()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(
+ as_unsigned(
+ std::numeric_limits<typename std::make_signed<Dst>::type>::lowest()),
+ ClampedNumeric<typename std::make_signed<Dst>::type>(
+ std::numeric_limits<typename std::make_signed<Dst>::type>::lowest())
+ .UnsignedAbs());
+ TEST_EXPECTED_VALUE(DstLimits::lowest(),
+ MakeClampedNum(DstLimits::lowest()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ MakeClampedNum(DstLimits::max()).UnsignedAbs());
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(0).UnsignedAbs());
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1).UnsignedAbs());
+
+ // Modulus is legal only for integers.
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>() % 1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) % 1);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) % 2);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(DstLimits::lowest()) % 2);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(DstLimits::max()) % 2);
+ // Test all the different modulus combinations.
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) % CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, 1 % CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) % 1);
+ CheckedNumeric<Dst> checked_dst = 1;
+ TEST_EXPECTED_VALUE(0, checked_dst %= 1);
+ // Test that div by 0 is avoided but returns invalid result.
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) % 0);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1)
+ << IntegerBitsPlusSign<Dst>::value);
+ // Test bit shifts.
+ volatile int negative_one = -1;
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) << negative_one);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1)
+ << IntegerBitsPlusSign<Dst>::value);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(0)
+ << IntegerBitsPlusSign<Dst>::value);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) << 1);
+ TEST_EXPECTED_VALUE(
+ static_cast<Dst>(1) << (IntegerBitsPlusSign<Dst>::value - 1),
+ CheckedNumeric<Dst>(1) << (IntegerBitsPlusSign<Dst>::value - 1));
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) << 0);
+ TEST_EXPECTED_VALUE(2, CheckedNumeric<Dst>(1) << 1);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) >>
+ IntegerBitsPlusSign<Dst>::value);
+ TEST_EXPECTED_VALUE(
+ 0, CheckedNumeric<Dst>(1) >> (IntegerBitsPlusSign<Dst>::value - 1));
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) >> negative_one);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) & 1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) & 0);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(0) & 1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) & 0);
+ TEST_EXPECTED_VALUE(std::numeric_limits<Dst>::max(),
+ MakeCheckedNum(DstLimits::max()) & -1);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) | 1);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) | 0);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(0) | 1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(0) | 0);
+ TEST_EXPECTED_VALUE(std::numeric_limits<Dst>::max(),
+ CheckedNumeric<Dst>(0) | static_cast<Dst>(-1));
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) ^ 1);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) ^ 0);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(0) ^ 1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(0) ^ 0);
+ TEST_EXPECTED_VALUE(std::numeric_limits<Dst>::max(),
+ CheckedNumeric<Dst>(0) ^ static_cast<Dst>(-1));
+ TEST_EXPECTED_VALUE(DstLimits::max(), ~CheckedNumeric<Dst>(0));
+
+ // Modulus is legal only for integers.
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>() % 1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) % 1);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) % 2);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(DstLimits::lowest()) % 2);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(DstLimits::max()) % 2);
+ // Test all the different modulus combinations.
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) % ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, 1 % ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) % 1);
+ ClampedNumeric<Dst> clamped_dst = 1;
+ TEST_EXPECTED_VALUE(0, clamped_dst %= 1);
+ // Test that div by 0 is avoided but returns invalid result.
+ TEST_EXPECTED_VALUE(Dst(1), ClampedNumeric<Dst>(1) % 0);
+ // Test bit shifts.
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(1)
+ << as_unsigned(IntegerBitsPlusSign<Dst>::value));
+ TEST_EXPECTED_VALUE(Dst(0), ClampedNumeric<Dst>(0) << as_unsigned(
+ IntegerBitsPlusSign<Dst>::value));
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::max()) << 1U);
+ TEST_EXPECTED_VALUE(
+ static_cast<Dst>(1) << (IntegerBitsPlusSign<Dst>::value - 1U),
+ ClampedNumeric<Dst>(1) << (IntegerBitsPlusSign<Dst>::value - 1U));
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) << 0U);
+ TEST_EXPECTED_VALUE(2, ClampedNumeric<Dst>(1) << 1U);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) >>
+ as_unsigned(IntegerBitsPlusSign<Dst>::value));
+ TEST_EXPECTED_VALUE(
+ 0, ClampedNumeric<Dst>(1) >> (IntegerBitsPlusSign<Dst>::value - 1U));
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) & 1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) & 0);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(0) & 1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) & 0);
+ TEST_EXPECTED_VALUE(std::numeric_limits<Dst>::max(),
+ MakeClampedNum(DstLimits::max()) & -1);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) | 1);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) | 0);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(0) | 1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(0) | 0);
+ TEST_EXPECTED_VALUE(std::numeric_limits<Dst>::max(),
+ ClampedNumeric<Dst>(0) | static_cast<Dst>(-1));
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) ^ 1);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) ^ 0);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(0) ^ 1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(0) ^ 0);
+ TEST_EXPECTED_VALUE(std::numeric_limits<Dst>::max(),
+ ClampedNumeric<Dst>(0) ^ static_cast<Dst>(-1));
+ TEST_EXPECTED_VALUE(DstLimits::max(), ~ClampedNumeric<Dst>(0));
+
+ TestStrictPointerMath<Dst>();
+}
+
+// Floating point arithmetic.
+template <typename Dst>
+void TestSpecializedArithmetic(
+ const char* dst,
+ int line,
+ typename std::enable_if<numeric_limits<Dst>::is_iec559, int>::type = 0) {
+ using DstLimits = SaturationDefaultLimits<Dst>;
+ TEST_EXPECTED_SUCCESS(-CheckedNumeric<Dst>(DstLimits::lowest()));
+
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::lowest()).Abs());
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(-1).Abs());
+
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::lowest()) + -1);
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::max()) + 1);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) +
+ DstLimits::lowest());
+
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) -
+ DstLimits::lowest());
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) -
+ DstLimits::max());
+
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::lowest()) * 2);
+
+ TEST_EXPECTED_VALUE(-0.5, CheckedNumeric<Dst>(-1.0) / 2);
+
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ -ClampedNumeric<Dst>(DstLimits::lowest()));
+
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ ClampedNumeric<Dst>(DstLimits::lowest()).Abs());
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(-1).Abs());
+
+ TEST_EXPECTED_VALUE(DstLimits::lowest() - 1,
+ ClampedNumeric<Dst>(DstLimits::lowest()) + -1);
+ TEST_EXPECTED_VALUE(DstLimits::max() + 1,
+ ClampedNumeric<Dst>(DstLimits::max()) + 1);
+ TEST_EXPECTED_VALUE(
+ DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) + DstLimits::lowest());
+
+ TEST_EXPECTED_VALUE(
+ DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::max()) - DstLimits::lowest());
+ TEST_EXPECTED_VALUE(
+ DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) - DstLimits::max());
+
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::lowest()) * 2);
+
+ TEST_EXPECTED_VALUE(-0.5, ClampedNumeric<Dst>(-1.0) / 2);
+}
+
+// Generic arithmetic tests.
+template <typename Dst>
+static void TestArithmetic(const char* dst, int line) {
+ using DstLimits = SaturationDefaultLimits<Dst>;
+
+ EXPECT_EQ(true, CheckedNumeric<Dst>().IsValid());
+ EXPECT_EQ(false, CheckedNumeric<Dst>(CheckedNumeric<Dst>(DstLimits::max()) *
+ DstLimits::max())
+ .IsValid());
+ EXPECT_EQ(static_cast<Dst>(0), CheckedNumeric<Dst>().ValueOrDie());
+ EXPECT_EQ(static_cast<Dst>(0), CheckedNumeric<Dst>().ValueOrDefault(1));
+ EXPECT_EQ(static_cast<Dst>(1),
+ CheckedNumeric<Dst>(CheckedNumeric<Dst>(DstLimits::max()) *
+ DstLimits::max())
+ .ValueOrDefault(1));
+
+ // Test the operator combinations.
+ TEST_EXPECTED_VALUE(2, CheckedNumeric<Dst>(1) + CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) - CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) * CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) / CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(2, 1 + CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, 1 - CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, 1 * CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, 1 / CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(2, CheckedNumeric<Dst>(1) + 1);
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>(1) - 1);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) * 1);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) / 1);
+ CheckedNumeric<Dst> checked_dst = 1;
+ TEST_EXPECTED_VALUE(2, checked_dst += 1);
+ checked_dst = 1;
+ TEST_EXPECTED_VALUE(0, checked_dst -= 1);
+ checked_dst = 1;
+ TEST_EXPECTED_VALUE(1, checked_dst *= 1);
+ checked_dst = 1;
+ TEST_EXPECTED_VALUE(1, checked_dst /= 1);
+
+ TEST_EXPECTED_VALUE(2, ClampedNumeric<Dst>(1) + ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) - ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) * ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) / ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(2, 1 + ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(0, 1 - ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, 1 * ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, 1 / ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(2, ClampedNumeric<Dst>(1) + 1);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(1) - 1);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) * 1);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) / 1);
+ ClampedNumeric<Dst> clamped_dst = 1;
+ TEST_EXPECTED_VALUE(2, clamped_dst += 1);
+ clamped_dst = 1;
+ TEST_EXPECTED_VALUE(0, clamped_dst -= 1);
+ clamped_dst = 1;
+ TEST_EXPECTED_VALUE(1, clamped_dst *= 1);
+ clamped_dst = 1;
+ TEST_EXPECTED_VALUE(1, clamped_dst /= 1);
+
+ // Generic negation.
+ if (DstLimits::is_signed) {
+ TEST_EXPECTED_VALUE(0, -CheckedNumeric<Dst>());
+ TEST_EXPECTED_VALUE(-1, -CheckedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, -CheckedNumeric<Dst>(-1));
+ TEST_EXPECTED_VALUE(static_cast<Dst>(DstLimits::max() * -1),
+ -CheckedNumeric<Dst>(DstLimits::max()));
+
+ TEST_EXPECTED_VALUE(0, -ClampedNumeric<Dst>());
+ TEST_EXPECTED_VALUE(-1, -ClampedNumeric<Dst>(1));
+ TEST_EXPECTED_VALUE(1, -ClampedNumeric<Dst>(-1));
+ TEST_EXPECTED_VALUE(static_cast<Dst>(DstLimits::max() * -1),
+ -ClampedNumeric<Dst>(DstLimits::max()));
+
+ // The runtime paths for saturated negation differ significantly from what
+ // gets evaluated at compile-time. Making this test volatile forces the
+ // compiler to generate code rather than fold constant expressions.
+ volatile Dst value = Dst(0);
+ TEST_EXPECTED_VALUE(0, -MakeClampedNum(value));
+ value = Dst(1);
+ TEST_EXPECTED_VALUE(-1, -MakeClampedNum(value));
+ value = Dst(2);
+ TEST_EXPECTED_VALUE(-2, -MakeClampedNum(value));
+ value = Dst(-1);
+ TEST_EXPECTED_VALUE(1, -MakeClampedNum(value));
+ value = Dst(-2);
+ TEST_EXPECTED_VALUE(2, -MakeClampedNum(value));
+ value = DstLimits::max();
+ TEST_EXPECTED_VALUE(Dst(DstLimits::max() * -1), -MakeClampedNum(value));
+ value = Dst(-1 * DstLimits::max());
+ TEST_EXPECTED_VALUE(DstLimits::max(), -MakeClampedNum(value));
+ value = DstLimits::lowest();
+ TEST_EXPECTED_VALUE(DstLimits::max(), -MakeClampedNum(value));
+ }
+
+ // Generic absolute value.
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>().Abs());
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1).Abs());
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ CheckedNumeric<Dst>(DstLimits::max()).Abs());
+
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>().Abs());
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1).Abs());
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ ClampedNumeric<Dst>(DstLimits::max()).Abs());
+
+ // Generic addition.
+ TEST_EXPECTED_VALUE(1, (CheckedNumeric<Dst>() + 1));
+ TEST_EXPECTED_VALUE(2, (CheckedNumeric<Dst>(1) + 1));
+ if (numeric_limits<Dst>::is_signed)
+ TEST_EXPECTED_VALUE(0, (CheckedNumeric<Dst>(-1) + 1));
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::lowest()) + 1);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) +
+ DstLimits::max());
+
+ TEST_EXPECTED_VALUE(1, (ClampedNumeric<Dst>() + 1));
+ TEST_EXPECTED_VALUE(2, (ClampedNumeric<Dst>(1) + 1));
+ if (numeric_limits<Dst>::is_signed)
+ TEST_EXPECTED_VALUE(0, (ClampedNumeric<Dst>(-1) + 1));
+ TEST_EXPECTED_VALUE(DstLimits::lowest() + 1,
+ ClampedNumeric<Dst>(DstLimits::lowest()) + 1);
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::max()) + DstLimits::max());
+
+ // Generic subtraction.
+ TEST_EXPECTED_VALUE(0, (CheckedNumeric<Dst>(1) - 1));
+ TEST_EXPECTED_SUCCESS(CheckedNumeric<Dst>(DstLimits::max()) - 1);
+ if (numeric_limits<Dst>::is_signed) {
+ TEST_EXPECTED_VALUE(-1, (CheckedNumeric<Dst>() - 1));
+ TEST_EXPECTED_VALUE(-2, (CheckedNumeric<Dst>(-1) - 1));
+ } else {
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) - -1);
+ }
+
+ TEST_EXPECTED_VALUE(0, (ClampedNumeric<Dst>(1) - 1));
+ TEST_EXPECTED_VALUE(DstLimits::max() - 1,
+ ClampedNumeric<Dst>(DstLimits::max()) - 1);
+ if (numeric_limits<Dst>::is_signed) {
+ TEST_EXPECTED_VALUE(-1, (ClampedNumeric<Dst>() - 1));
+ TEST_EXPECTED_VALUE(-2, (ClampedNumeric<Dst>(-1) - 1));
+ } else {
+ TEST_EXPECTED_VALUE(DstLimits::max(),
+ ClampedNumeric<Dst>(DstLimits::max()) - -1);
+ }
+
+ // Generic multiplication.
+ TEST_EXPECTED_VALUE(0, (CheckedNumeric<Dst>() * 1));
+ TEST_EXPECTED_VALUE(1, (CheckedNumeric<Dst>(1) * 1));
+ TEST_EXPECTED_VALUE(0, (CheckedNumeric<Dst>(0) * 0));
+ if (numeric_limits<Dst>::is_signed) {
+ TEST_EXPECTED_VALUE(0, (CheckedNumeric<Dst>(-1) * 0));
+ TEST_EXPECTED_VALUE(0, (CheckedNumeric<Dst>(0) * -1));
+ TEST_EXPECTED_VALUE(-2, (CheckedNumeric<Dst>(-1) * 2));
+ } else {
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) * -2);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) *
+ CheckedNumeric<uintmax_t>(-2));
+ }
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(DstLimits::max()) *
+ DstLimits::max());
+
+ TEST_EXPECTED_VALUE(0, (ClampedNumeric<Dst>() * 1));
+ TEST_EXPECTED_VALUE(1, (ClampedNumeric<Dst>(1) * 1));
+ TEST_EXPECTED_VALUE(0, (ClampedNumeric<Dst>(0) * 0));
+ if (numeric_limits<Dst>::is_signed) {
+ TEST_EXPECTED_VALUE(0, (ClampedNumeric<Dst>(-1) * 0));
+ TEST_EXPECTED_VALUE(0, (ClampedNumeric<Dst>(0) * -1));
+ TEST_EXPECTED_VALUE(-2, (ClampedNumeric<Dst>(-1) * 2));
+ } else {
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ ClampedNumeric<Dst>(DstLimits::max()) * -2);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(DstLimits::max()) *
+ ClampedNumeric<uintmax_t>(-2));
+ }
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ ClampedNumeric<Dst>(DstLimits::max()) * DstLimits::max());
+
+ // Generic division.
+ TEST_EXPECTED_VALUE(0, CheckedNumeric<Dst>() / 1);
+ TEST_EXPECTED_VALUE(1, CheckedNumeric<Dst>(1) / 1);
+ TEST_EXPECTED_VALUE(DstLimits::lowest() / 2,
+ CheckedNumeric<Dst>(DstLimits::lowest()) / 2);
+ TEST_EXPECTED_VALUE(DstLimits::max() / 2,
+ CheckedNumeric<Dst>(DstLimits::max()) / 2);
+ TEST_EXPECTED_FAILURE(CheckedNumeric<Dst>(1) / 0);
+
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>() / 1);
+ TEST_EXPECTED_VALUE(1, ClampedNumeric<Dst>(1) / 1);
+ TEST_EXPECTED_VALUE(DstLimits::lowest() / 2,
+ ClampedNumeric<Dst>(DstLimits::lowest()) / 2);
+ TEST_EXPECTED_VALUE(DstLimits::max() / 2,
+ ClampedNumeric<Dst>(DstLimits::max()) / 2);
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), ClampedNumeric<Dst>(1) / 0);
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(), ClampedNumeric<Dst>(-1) / 0);
+ TEST_EXPECTED_VALUE(0, ClampedNumeric<Dst>(0) / 0);
+
+ TestSpecializedArithmetic<Dst>(dst, line);
+}
+
+// Helper macro to wrap displaying the conversion types and line numbers.
+#define TEST_ARITHMETIC(Dst) TestArithmetic<Dst>(#Dst, __LINE__)
+
+TEST(SafeNumerics, SignedIntegerMath) {
+ TEST_ARITHMETIC(int8_t);
+ TEST_ARITHMETIC(int16_t);
+ TEST_ARITHMETIC(int);
+ TEST_ARITHMETIC(intptr_t);
+ TEST_ARITHMETIC(intmax_t);
+}
+
+TEST(SafeNumerics, UnsignedIntegerMath) {
+ TEST_ARITHMETIC(uint8_t);
+ TEST_ARITHMETIC(uint16_t);
+ TEST_ARITHMETIC(unsigned int);
+ TEST_ARITHMETIC(uintptr_t);
+ TEST_ARITHMETIC(uintmax_t);
+}
+
+TEST(SafeNumerics, FloatingPointMath) {
+ TEST_ARITHMETIC(float);
+ TEST_ARITHMETIC(double);
+}
+
+// Enumerates the five different conversions types we need to test.
+enum NumericConversionType {
+ SIGN_PRESERVING_VALUE_PRESERVING,
+ SIGN_PRESERVING_NARROW,
+ SIGN_TO_UNSIGN_WIDEN_OR_EQUAL,
+ SIGN_TO_UNSIGN_NARROW,
+ UNSIGN_TO_SIGN_NARROW_OR_EQUAL,
+};
+
+// Template covering the different conversion tests.
+template <typename Dst, typename Src, NumericConversionType conversion>
+struct TestNumericConversion {};
+
+enum RangeConstraint {
+ RANGE_VALID = 0x0, // Value can be represented by the destination type.
+ RANGE_UNDERFLOW = 0x1, // Value would underflow.
+ RANGE_OVERFLOW = 0x2, // Value would overflow.
+ RANGE_INVALID = RANGE_UNDERFLOW | RANGE_OVERFLOW // Invalid (i.e. NaN).
+};
+
+// These are some wrappers to make the tests a bit cleaner.
+constexpr RangeConstraint RangeCheckToEnum(const RangeCheck constraint) {
+ return static_cast<RangeConstraint>(
+ static_cast<int>(constraint.IsOverflowFlagSet()) << 1 |
+ static_cast<int>(constraint.IsUnderflowFlagSet()));
+}
+
+// EXPECT_EQ wrappers providing specific detail on test failures.
+#define TEST_EXPECTED_RANGE(expected, actual) \
+ EXPECT_EQ(expected, \
+ RangeCheckToEnum(DstRangeRelationToSrcRange<Dst>(actual))) \
+ << "Conversion test: " << src << " value " << actual << " to " << dst \
+ << " on line " << line
+
+template <typename Dst, typename Src>
+void TestStrictComparison(const char* dst, const char* src, int line) {
+ using DstLimits = numeric_limits<Dst>;
+ using SrcLimits = numeric_limits<Src>;
+ static_assert(StrictNumeric<Src>(SrcLimits::lowest()) < DstLimits::max(), "");
+ static_assert(StrictNumeric<Src>(SrcLimits::lowest()) < SrcLimits::max(), "");
+ static_assert(!(StrictNumeric<Src>(SrcLimits::lowest()) >= DstLimits::max()),
+ "");
+ static_assert(!(StrictNumeric<Src>(SrcLimits::lowest()) >= SrcLimits::max()),
+ "");
+ static_assert(StrictNumeric<Src>(SrcLimits::lowest()) <= DstLimits::max(),
+ "");
+ static_assert(StrictNumeric<Src>(SrcLimits::lowest()) <= SrcLimits::max(),
+ "");
+ static_assert(!(StrictNumeric<Src>(SrcLimits::lowest()) > DstLimits::max()),
+ "");
+ static_assert(!(StrictNumeric<Src>(SrcLimits::lowest()) > SrcLimits::max()),
+ "");
+ static_assert(StrictNumeric<Src>(SrcLimits::max()) > DstLimits::lowest(), "");
+ static_assert(StrictNumeric<Src>(SrcLimits::max()) > SrcLimits::lowest(), "");
+ static_assert(!(StrictNumeric<Src>(SrcLimits::max()) <= DstLimits::lowest()),
+ "");
+ static_assert(!(StrictNumeric<Src>(SrcLimits::max()) <= SrcLimits::lowest()),
+ "");
+ static_assert(StrictNumeric<Src>(SrcLimits::max()) >= DstLimits::lowest(),
+ "");
+ static_assert(StrictNumeric<Src>(SrcLimits::max()) >= SrcLimits::lowest(),
+ "");
+ static_assert(!(StrictNumeric<Src>(SrcLimits::max()) < DstLimits::lowest()),
+ "");
+ static_assert(!(StrictNumeric<Src>(SrcLimits::max()) < SrcLimits::lowest()),
+ "");
+ static_assert(StrictNumeric<Src>(static_cast<Src>(1)) == static_cast<Dst>(1),
+ "");
+ static_assert(StrictNumeric<Src>(static_cast<Src>(1)) != static_cast<Dst>(0),
+ "");
+ static_assert(StrictNumeric<Src>(SrcLimits::max()) != static_cast<Dst>(0),
+ "");
+ static_assert(StrictNumeric<Src>(SrcLimits::max()) != DstLimits::lowest(),
+ "");
+ static_assert(
+ !(StrictNumeric<Src>(static_cast<Src>(1)) != static_cast<Dst>(1)), "");
+ static_assert(
+ !(StrictNumeric<Src>(static_cast<Src>(1)) == static_cast<Dst>(0)), "");
+
+ // Due to differences in float handling between compilers, these aren't
+ // compile-time constants everywhere. So, we use run-time tests.
+ EXPECT_EQ(
+ SrcLimits::max(),
+ MakeCheckedNum(SrcLimits::max()).Max(DstLimits::lowest()).ValueOrDie());
+ EXPECT_EQ(
+ DstLimits::max(),
+ MakeCheckedNum(SrcLimits::lowest()).Max(DstLimits::max()).ValueOrDie());
+ EXPECT_EQ(
+ DstLimits::lowest(),
+ MakeCheckedNum(SrcLimits::max()).Min(DstLimits::lowest()).ValueOrDie());
+ EXPECT_EQ(
+ SrcLimits::lowest(),
+ MakeCheckedNum(SrcLimits::lowest()).Min(DstLimits::max()).ValueOrDie());
+ EXPECT_EQ(SrcLimits::lowest(), CheckMin(MakeStrictNum(1), MakeCheckedNum(0),
+ DstLimits::max(), SrcLimits::lowest())
+ .ValueOrDie());
+ EXPECT_EQ(DstLimits::max(), CheckMax(MakeStrictNum(1), MakeCheckedNum(0),
+ DstLimits::max(), SrcLimits::lowest())
+ .ValueOrDie());
+
+ EXPECT_EQ(SrcLimits::max(),
+ MakeClampedNum(SrcLimits::max()).Max(DstLimits::lowest()));
+ EXPECT_EQ(DstLimits::max(),
+ MakeClampedNum(SrcLimits::lowest()).Max(DstLimits::max()));
+ EXPECT_EQ(DstLimits::lowest(),
+ MakeClampedNum(SrcLimits::max()).Min(DstLimits::lowest()));
+ EXPECT_EQ(SrcLimits::lowest(),
+ MakeClampedNum(SrcLimits::lowest()).Min(DstLimits::max()));
+ EXPECT_EQ(SrcLimits::lowest(),
+ ClampMin(MakeStrictNum(1), MakeClampedNum(0), DstLimits::max(),
+ SrcLimits::lowest()));
+ EXPECT_EQ(DstLimits::max(), ClampMax(MakeStrictNum(1), MakeClampedNum(0),
+ DstLimits::max(), SrcLimits::lowest()));
+
+ if (IsValueInRangeForNumericType<Dst>(SrcLimits::max())) {
+ TEST_EXPECTED_VALUE(Dst(SrcLimits::max()), (CommonMax<Dst, Src>()));
+ TEST_EXPECTED_VALUE(Dst(SrcLimits::max()),
+ (CommonMaxOrMin<Dst, Src>(false)));
+ } else {
+ TEST_EXPECTED_VALUE(DstLimits::max(), (CommonMax<Dst, Src>()));
+ TEST_EXPECTED_VALUE(DstLimits::max(), (CommonMaxOrMin<Dst, Src>(false)));
+ }
+
+ if (IsValueInRangeForNumericType<Dst>(SrcLimits::lowest())) {
+ TEST_EXPECTED_VALUE(Dst(SrcLimits::lowest()), (CommonMin<Dst, Src>()));
+ TEST_EXPECTED_VALUE(Dst(SrcLimits::lowest()),
+ (CommonMaxOrMin<Dst, Src>(true)));
+ } else {
+ TEST_EXPECTED_VALUE(DstLimits::lowest(), (CommonMin<Dst, Src>()));
+ TEST_EXPECTED_VALUE(DstLimits::lowest(), (CommonMaxOrMin<Dst, Src>(true)));
+ }
+}
+
+template <typename Dst, typename Src>
+struct TestNumericConversion<Dst, Src, SIGN_PRESERVING_VALUE_PRESERVING> {
+ static void Test(const char* dst, const char* src, int line) {
+ using SrcLimits = SaturationDefaultLimits<Src>;
+ using DstLimits = SaturationDefaultLimits<Dst>;
+ // Integral to floating.
+ static_assert((DstLimits::is_iec559 && SrcLimits::is_integer) ||
+ // Not floating to integral and...
+ (!(DstLimits::is_integer && SrcLimits::is_iec559) &&
+ // Same sign, same numeric, source is narrower or same.
+ ((SrcLimits::is_signed == DstLimits::is_signed &&
+ MaxExponent<Dst>::value >= MaxExponent<Src>::value) ||
+ // Or signed destination and source is smaller
+ (DstLimits::is_signed &&
+ MaxExponent<Dst>::value >= MaxExponent<Src>::value))),
+ "Comparison must be sign preserving and value preserving");
+
+ TestStrictComparison<Dst, Src>(dst, src, line);
+
+ const CheckedNumeric<Dst> checked_dst = SrcLimits::max();
+ const ClampedNumeric<Dst> clamped_dst = SrcLimits::max();
+ TEST_EXPECTED_SUCCESS(checked_dst);
+ TEST_EXPECTED_VALUE(Dst(SrcLimits::max()), clamped_dst);
+ if (MaxExponent<Dst>::value > MaxExponent<Src>::value) {
+ if (MaxExponent<Dst>::value >= MaxExponent<Src>::value * 2 - 1) {
+ // At least twice larger type.
+ TEST_EXPECTED_SUCCESS(SrcLimits::max() * checked_dst);
+ TEST_EXPECTED_VALUE(SrcLimits::max() * clamped_dst,
+ Dst(SrcLimits::max()) * SrcLimits::max());
+ } else { // Larger, but not at least twice as large.
+ TEST_EXPECTED_FAILURE(SrcLimits::max() * checked_dst);
+ TEST_EXPECTED_SUCCESS(checked_dst + 1);
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(),
+ SrcLimits::max() * clamped_dst);
+ TEST_EXPECTED_VALUE(Dst(SrcLimits::max()) + Dst(1),
+ clamped_dst + Dst(1));
+ }
+ } else { // Same width type.
+ TEST_EXPECTED_FAILURE(checked_dst + 1);
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), clamped_dst + Dst(1));
+ }
+
+ TEST_EXPECTED_RANGE(RANGE_VALID, SrcLimits::max());
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(1));
+ if (SrcLimits::is_iec559) {
+ TEST_EXPECTED_RANGE(RANGE_VALID, SrcLimits::max() * static_cast<Src>(-1));
+ TEST_EXPECTED_RANGE(RANGE_OVERFLOW, SrcLimits::infinity());
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, SrcLimits::infinity() * -1);
+ TEST_EXPECTED_RANGE(RANGE_INVALID, SrcLimits::quiet_NaN());
+ } else if (numeric_limits<Src>::is_signed) {
+ // This block reverses the Src to Dst relationship so we don't have to
+ // complicate the test macros.
+ if (!std::is_same<Src, Dst>::value) {
+ TEST_EXPECTED_SUCCESS(CheckDiv(SrcLimits::lowest(), Dst(-1)));
+ }
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(-1));
+ TEST_EXPECTED_RANGE(RANGE_VALID, SrcLimits::lowest());
+ }
+ }
+};
+
+template <typename Dst, typename Src>
+struct TestNumericConversion<Dst, Src, SIGN_PRESERVING_NARROW> {
+ static void Test(const char* dst, const char* src, int line) {
+ using SrcLimits = SaturationDefaultLimits<Src>;
+ using DstLimits = SaturationDefaultLimits<Dst>;
+ static_assert(SrcLimits::is_signed == DstLimits::is_signed,
+ "Destination and source sign must be the same");
+ static_assert(MaxExponent<Dst>::value <= MaxExponent<Src>::value,
+ "Destination must be narrower than source");
+
+ TestStrictComparison<Dst, Src>(dst, src, line);
+
+ const CheckedNumeric<Dst> checked_dst;
+ TEST_EXPECTED_FAILURE(checked_dst + SrcLimits::max());
+ TEST_EXPECTED_VALUE(1, checked_dst + Src(1));
+ TEST_EXPECTED_FAILURE(checked_dst - SrcLimits::max());
+
+ ClampedNumeric<Dst> clamped_dst;
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), clamped_dst + SrcLimits::max());
+ TEST_EXPECTED_VALUE(1, clamped_dst + Src(1));
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(), clamped_dst - SrcLimits::max());
+ clamped_dst += SrcLimits::max();
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), clamped_dst);
+ clamped_dst = DstLimits::max();
+ clamped_dst += SrcLimits::max();
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), clamped_dst);
+ clamped_dst = DstLimits::max();
+ clamped_dst -= SrcLimits::max();
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(), clamped_dst);
+ clamped_dst = 0;
+
+ TEST_EXPECTED_RANGE(RANGE_OVERFLOW, SrcLimits::max());
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(1));
+ if (SrcLimits::is_iec559) {
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, SrcLimits::max() * -1);
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(-1));
+ TEST_EXPECTED_RANGE(RANGE_OVERFLOW, SrcLimits::infinity());
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, SrcLimits::infinity() * -1);
+ TEST_EXPECTED_RANGE(RANGE_INVALID, SrcLimits::quiet_NaN());
+ if (DstLimits::is_integer) {
+ if (SrcLimits::digits < DstLimits::digits) {
+ TEST_EXPECTED_RANGE(RANGE_OVERFLOW,
+ static_cast<Src>(DstLimits::max()));
+ } else {
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(DstLimits::max()));
+ }
+ TEST_EXPECTED_RANGE(
+ RANGE_VALID,
+ static_cast<Src>(GetMaxConvertibleToFloat<Src, Dst>()));
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(DstLimits::lowest()));
+ }
+ } else if (SrcLimits::is_signed) {
+ TEST_EXPECTED_VALUE(-1, checked_dst - static_cast<Src>(1));
+ TEST_EXPECTED_VALUE(-1, clamped_dst - static_cast<Src>(1));
+ TEST_EXPECTED_VALUE(Src(Src(0) - DstLimits::lowest()),
+ ClampDiv(DstLimits::lowest(), Src(-1)));
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, SrcLimits::lowest());
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(-1));
+ } else {
+ TEST_EXPECTED_FAILURE(checked_dst - static_cast<Src>(1));
+ TEST_EXPECTED_VALUE(Dst(0), clamped_dst - static_cast<Src>(1));
+ TEST_EXPECTED_RANGE(RANGE_VALID, SrcLimits::lowest());
+ }
+ }
+};
+
+template <typename Dst, typename Src>
+struct TestNumericConversion<Dst, Src, SIGN_TO_UNSIGN_WIDEN_OR_EQUAL> {
+ static void Test(const char* dst, const char* src, int line) {
+ using SrcLimits = SaturationDefaultLimits<Src>;
+ using DstLimits = SaturationDefaultLimits<Dst>;
+ static_assert(MaxExponent<Dst>::value >= MaxExponent<Src>::value,
+ "Destination must be equal or wider than source.");
+ static_assert(SrcLimits::is_signed, "Source must be signed");
+ static_assert(!DstLimits::is_signed, "Destination must be unsigned");
+
+ TestStrictComparison<Dst, Src>(dst, src, line);
+
+ const CheckedNumeric<Dst> checked_dst;
+ TEST_EXPECTED_VALUE(SrcLimits::max(), checked_dst + SrcLimits::max());
+ TEST_EXPECTED_FAILURE(checked_dst + static_cast<Src>(-1));
+ TEST_EXPECTED_SUCCESS(checked_dst * static_cast<Src>(-1));
+ TEST_EXPECTED_FAILURE(checked_dst + SrcLimits::lowest());
+ TEST_EXPECTED_VALUE(Dst(0), CheckDiv(Dst(0), Src(-1)));
+
+ const ClampedNumeric<Dst> clamped_dst;
+ TEST_EXPECTED_VALUE(SrcLimits::max(), clamped_dst + SrcLimits::max());
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ clamped_dst + static_cast<Src>(-1));
+ TEST_EXPECTED_VALUE(0, clamped_dst * static_cast<Src>(-1));
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ clamped_dst + SrcLimits::lowest());
+
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, SrcLimits::lowest());
+ TEST_EXPECTED_RANGE(RANGE_VALID, SrcLimits::max());
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(1));
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, static_cast<Src>(-1));
+ }
+};
+
+template <typename Dst, typename Src>
+struct TestNumericConversion<Dst, Src, SIGN_TO_UNSIGN_NARROW> {
+ static void Test(const char* dst, const char* src, int line) {
+ using SrcLimits = SaturationDefaultLimits<Src>;
+ using DstLimits = SaturationDefaultLimits<Dst>;
+ static_assert(MaxExponent<Dst>::value < MaxExponent<Src>::value,
+ "Destination must be narrower than source.");
+ static_assert(SrcLimits::is_signed, "Source must be signed.");
+ static_assert(!DstLimits::is_signed, "Destination must be unsigned.");
+
+ TestStrictComparison<Dst, Src>(dst, src, line);
+
+ const CheckedNumeric<Dst> checked_dst;
+ TEST_EXPECTED_VALUE(1, checked_dst + static_cast<Src>(1));
+ TEST_EXPECTED_FAILURE(checked_dst + SrcLimits::max());
+ TEST_EXPECTED_FAILURE(checked_dst + static_cast<Src>(-1));
+ TEST_EXPECTED_FAILURE(checked_dst + SrcLimits::lowest());
+
+ ClampedNumeric<Dst> clamped_dst;
+ TEST_EXPECTED_VALUE(1, clamped_dst + static_cast<Src>(1));
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), clamped_dst + SrcLimits::max());
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ clamped_dst + static_cast<Src>(-1));
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(),
+ clamped_dst + SrcLimits::lowest());
+ clamped_dst += SrcLimits::max();
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), clamped_dst);
+ clamped_dst = DstLimits::max();
+ clamped_dst += SrcLimits::max();
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), clamped_dst);
+ clamped_dst = DstLimits::max();
+ clamped_dst -= SrcLimits::max();
+ TEST_EXPECTED_VALUE(DstLimits::Underflow(), clamped_dst);
+ clamped_dst = 0;
+
+ TEST_EXPECTED_RANGE(RANGE_OVERFLOW, SrcLimits::max());
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(1));
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, static_cast<Src>(-1));
+
+ // Additional saturation tests.
+ EXPECT_EQ(DstLimits::max(), saturated_cast<Dst>(SrcLimits::max()));
+ EXPECT_EQ(DstLimits::lowest(), saturated_cast<Dst>(SrcLimits::lowest()));
+
+ if (SrcLimits::is_iec559) {
+ EXPECT_EQ(Dst(0), saturated_cast<Dst>(SrcLimits::quiet_NaN()));
+
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, SrcLimits::max() * -1);
+ TEST_EXPECTED_RANGE(RANGE_OVERFLOW, SrcLimits::infinity());
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, SrcLimits::infinity() * -1);
+ TEST_EXPECTED_RANGE(RANGE_INVALID, SrcLimits::quiet_NaN());
+ if (DstLimits::is_integer) {
+ if (SrcLimits::digits < DstLimits::digits) {
+ TEST_EXPECTED_RANGE(RANGE_OVERFLOW,
+ static_cast<Src>(DstLimits::max()));
+ } else {
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(DstLimits::max()));
+ }
+ TEST_EXPECTED_RANGE(
+ RANGE_VALID,
+ static_cast<Src>(GetMaxConvertibleToFloat<Src, Dst>()));
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(DstLimits::lowest()));
+ }
+ } else {
+ TEST_EXPECTED_RANGE(RANGE_UNDERFLOW, SrcLimits::lowest());
+ }
+ }
+};
+
+template <typename Dst, typename Src>
+struct TestNumericConversion<Dst, Src, UNSIGN_TO_SIGN_NARROW_OR_EQUAL> {
+ static void Test(const char* dst, const char* src, int line) {
+ using SrcLimits = SaturationDefaultLimits<Src>;
+ using DstLimits = SaturationDefaultLimits<Dst>;
+ static_assert(MaxExponent<Dst>::value <= MaxExponent<Src>::value,
+ "Destination must be narrower or equal to source.");
+ static_assert(!SrcLimits::is_signed, "Source must be unsigned.");
+ static_assert(DstLimits::is_signed, "Destination must be signed.");
+
+ TestStrictComparison<Dst, Src>(dst, src, line);
+
+ const CheckedNumeric<Dst> checked_dst;
+ TEST_EXPECTED_VALUE(1, checked_dst + static_cast<Src>(1));
+ TEST_EXPECTED_FAILURE(checked_dst + SrcLimits::max());
+ TEST_EXPECTED_VALUE(SrcLimits::lowest(), checked_dst + SrcLimits::lowest());
+
+ const ClampedNumeric<Dst> clamped_dst;
+ TEST_EXPECTED_VALUE(1, clamped_dst + static_cast<Src>(1));
+ TEST_EXPECTED_VALUE(DstLimits::Overflow(), clamped_dst + SrcLimits::max());
+ TEST_EXPECTED_VALUE(SrcLimits::lowest(), clamped_dst + SrcLimits::lowest());
+
+ TEST_EXPECTED_RANGE(RANGE_VALID, SrcLimits::lowest());
+ TEST_EXPECTED_RANGE(RANGE_OVERFLOW, SrcLimits::max());
+ TEST_EXPECTED_RANGE(RANGE_VALID, static_cast<Src>(1));
+
+ // Additional saturation tests.
+ EXPECT_EQ(DstLimits::max(), saturated_cast<Dst>(SrcLimits::max()));
+ EXPECT_EQ(Dst(0), saturated_cast<Dst>(SrcLimits::lowest()));
+ }
+};
+
+// Helper macro to wrap displaying the conversion types and line numbers
+#define TEST_NUMERIC_CONVERSION(d, s, t) \
+ TestNumericConversion<d, s, t>::Test(#d, #s, __LINE__)
+
+TEST(SafeNumerics, IntMinOperations) {
+ TEST_NUMERIC_CONVERSION(int8_t, int8_t, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(uint8_t, uint8_t, SIGN_PRESERVING_VALUE_PRESERVING);
+
+ TEST_NUMERIC_CONVERSION(int8_t, int16_t, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(int8_t, int, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(uint8_t, uint16_t, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(uint8_t, unsigned int, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(int8_t, float, SIGN_PRESERVING_NARROW);
+
+ TEST_NUMERIC_CONVERSION(uint8_t, int8_t, SIGN_TO_UNSIGN_WIDEN_OR_EQUAL);
+
+ TEST_NUMERIC_CONVERSION(uint8_t, int16_t, SIGN_TO_UNSIGN_NARROW);
+ TEST_NUMERIC_CONVERSION(uint8_t, int, SIGN_TO_UNSIGN_NARROW);
+ TEST_NUMERIC_CONVERSION(uint8_t, intmax_t, SIGN_TO_UNSIGN_NARROW);
+ TEST_NUMERIC_CONVERSION(uint8_t, float, SIGN_TO_UNSIGN_NARROW);
+
+ TEST_NUMERIC_CONVERSION(int8_t, uint16_t, UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+ TEST_NUMERIC_CONVERSION(int8_t, unsigned int, UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+ TEST_NUMERIC_CONVERSION(int8_t, uintmax_t, UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+}
+
+TEST(SafeNumerics, Int16Operations) {
+ TEST_NUMERIC_CONVERSION(int16_t, int16_t, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(uint16_t, uint16_t, SIGN_PRESERVING_VALUE_PRESERVING);
+
+ TEST_NUMERIC_CONVERSION(int16_t, int, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(uint16_t, unsigned int, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(int16_t, float, SIGN_PRESERVING_NARROW);
+
+ TEST_NUMERIC_CONVERSION(uint16_t, int16_t, SIGN_TO_UNSIGN_WIDEN_OR_EQUAL);
+
+ TEST_NUMERIC_CONVERSION(uint16_t, int, SIGN_TO_UNSIGN_NARROW);
+ TEST_NUMERIC_CONVERSION(uint16_t, intmax_t, SIGN_TO_UNSIGN_NARROW);
+ TEST_NUMERIC_CONVERSION(uint16_t, float, SIGN_TO_UNSIGN_NARROW);
+
+ TEST_NUMERIC_CONVERSION(int16_t, unsigned int,
+ UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+ TEST_NUMERIC_CONVERSION(int16_t, uintmax_t, UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+}
+
+TEST(SafeNumerics, IntOperations) {
+ TEST_NUMERIC_CONVERSION(int, int, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(unsigned int, unsigned int,
+ SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(int, int8_t, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(unsigned int, uint8_t,
+ SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(int, uint8_t, SIGN_PRESERVING_VALUE_PRESERVING);
+
+ TEST_NUMERIC_CONVERSION(int, intmax_t, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(unsigned int, uintmax_t, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(int, float, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(int, double, SIGN_PRESERVING_NARROW);
+
+ TEST_NUMERIC_CONVERSION(unsigned int, int, SIGN_TO_UNSIGN_WIDEN_OR_EQUAL);
+ TEST_NUMERIC_CONVERSION(unsigned int, int8_t, SIGN_TO_UNSIGN_WIDEN_OR_EQUAL);
+
+ TEST_NUMERIC_CONVERSION(unsigned int, intmax_t, SIGN_TO_UNSIGN_NARROW);
+ TEST_NUMERIC_CONVERSION(unsigned int, float, SIGN_TO_UNSIGN_NARROW);
+ TEST_NUMERIC_CONVERSION(unsigned int, double, SIGN_TO_UNSIGN_NARROW);
+
+ TEST_NUMERIC_CONVERSION(int, unsigned int, UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+ TEST_NUMERIC_CONVERSION(int, uintmax_t, UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+}
+
+TEST(SafeNumerics, IntMaxOperations) {
+ TEST_NUMERIC_CONVERSION(intmax_t, intmax_t, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(uintmax_t, uintmax_t,
+ SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(intmax_t, int, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(uintmax_t, unsigned int,
+ SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(intmax_t, unsigned int,
+ SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(intmax_t, uint8_t, SIGN_PRESERVING_VALUE_PRESERVING);
+
+ TEST_NUMERIC_CONVERSION(intmax_t, float, SIGN_PRESERVING_NARROW);
+ TEST_NUMERIC_CONVERSION(intmax_t, double, SIGN_PRESERVING_NARROW);
+
+ TEST_NUMERIC_CONVERSION(uintmax_t, int, SIGN_TO_UNSIGN_WIDEN_OR_EQUAL);
+ TEST_NUMERIC_CONVERSION(uintmax_t, int8_t, SIGN_TO_UNSIGN_WIDEN_OR_EQUAL);
+
+ TEST_NUMERIC_CONVERSION(uintmax_t, float, SIGN_TO_UNSIGN_NARROW);
+ TEST_NUMERIC_CONVERSION(uintmax_t, double, SIGN_TO_UNSIGN_NARROW);
+
+ TEST_NUMERIC_CONVERSION(intmax_t, uintmax_t, UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+}
+
+TEST(SafeNumerics, FloatOperations) {
+ TEST_NUMERIC_CONVERSION(float, intmax_t, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(float, uintmax_t, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(float, int, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(float, unsigned int,
+ SIGN_PRESERVING_VALUE_PRESERVING);
+
+ TEST_NUMERIC_CONVERSION(float, double, SIGN_PRESERVING_NARROW);
+}
+
+TEST(SafeNumerics, DoubleOperations) {
+ TEST_NUMERIC_CONVERSION(double, intmax_t, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(double, uintmax_t, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(double, int, SIGN_PRESERVING_VALUE_PRESERVING);
+ TEST_NUMERIC_CONVERSION(double, unsigned int,
+ SIGN_PRESERVING_VALUE_PRESERVING);
+}
+
+TEST(SafeNumerics, SizeTOperations) {
+ TEST_NUMERIC_CONVERSION(size_t, int, SIGN_TO_UNSIGN_WIDEN_OR_EQUAL);
+ TEST_NUMERIC_CONVERSION(int, size_t, UNSIGN_TO_SIGN_NARROW_OR_EQUAL);
+}
+
+// A one-off test to ensure StrictNumeric won't resolve to an incorrect type.
+// If this fails we'll just get a compiler error on an ambiguous overload.
+int TestOverload(int) { // Overload fails.
+ return 0;
+}
+uint8_t TestOverload(uint8_t) { // Overload fails.
+ return 0;
+}
+size_t TestOverload(size_t) { // Overload succeeds.
+ return 0;
+}
+
+static_assert(
+ std::is_same<decltype(TestOverload(StrictNumeric<int>())), int>::value,
+ "");
+static_assert(std::is_same<decltype(TestOverload(StrictNumeric<size_t>())),
+ size_t>::value,
+ "");
+
+template <typename T>
+struct CastTest1 {
+ static constexpr T NaN() { return -1; }
+ static constexpr T max() { return numeric_limits<T>::max() - 1; }
+ static constexpr T Overflow() { return max(); }
+ static constexpr T lowest() { return numeric_limits<T>::lowest() + 1; }
+ static constexpr T Underflow() { return lowest(); }
+};
+
+template <typename T>
+struct CastTest2 {
+ static constexpr T NaN() { return 11; }
+ static constexpr T max() { return 10; }
+ static constexpr T Overflow() { return max(); }
+ static constexpr T lowest() { return 1; }
+ static constexpr T Underflow() { return lowest(); }
+};
+
+TEST(SafeNumerics, CastTests) {
+// MSVC catches and warns that we're forcing saturation in these tests.
+// Since that's intentional, we need to shut this warning off.
+#if defined(COMPILER_MSVC)
+#pragma warning(disable : 4756)
+#endif
+
+ int small_positive = 1;
+ int small_negative = -1;
+ double double_small = 1.0;
+ double double_large = numeric_limits<double>::max();
+ double double_infinity = numeric_limits<float>::infinity();
+ double double_large_int = numeric_limits<int>::max();
+ double double_small_int = numeric_limits<int>::lowest();
+
+ // Just test that the casts compile, since the other tests cover logic.
+ EXPECT_EQ(0, checked_cast<int>(static_cast<size_t>(0)));
+ EXPECT_EQ(0, strict_cast<int>(static_cast<char>(0)));
+ EXPECT_EQ(0, strict_cast<int>(static_cast<unsigned char>(0)));
+ EXPECT_EQ(0U, strict_cast<unsigned>(static_cast<unsigned char>(0)));
+ EXPECT_EQ(1ULL, static_cast<uint64_t>(StrictNumeric<size_t>(1U)));
+ EXPECT_EQ(1ULL, static_cast<uint64_t>(SizeT(1U)));
+ EXPECT_EQ(1U, static_cast<size_t>(StrictNumeric<unsigned>(1U)));
+
+ EXPECT_TRUE(CheckedNumeric<uint64_t>(StrictNumeric<unsigned>(1U)).IsValid());
+ EXPECT_TRUE(CheckedNumeric<int>(StrictNumeric<unsigned>(1U)).IsValid());
+ EXPECT_FALSE(CheckedNumeric<unsigned>(StrictNumeric<int>(-1)).IsValid());
+
+ EXPECT_TRUE(IsValueNegative(-1));
+ EXPECT_TRUE(IsValueNegative(numeric_limits<int>::lowest()));
+ EXPECT_FALSE(IsValueNegative(numeric_limits<unsigned>::lowest()));
+ EXPECT_TRUE(IsValueNegative(numeric_limits<double>::lowest()));
+ EXPECT_FALSE(IsValueNegative(0));
+ EXPECT_FALSE(IsValueNegative(1));
+ EXPECT_FALSE(IsValueNegative(0u));
+ EXPECT_FALSE(IsValueNegative(1u));
+ EXPECT_FALSE(IsValueNegative(numeric_limits<int>::max()));
+ EXPECT_FALSE(IsValueNegative(numeric_limits<unsigned>::max()));
+ EXPECT_FALSE(IsValueNegative(numeric_limits<double>::max()));
+
+ // These casts and coercions will fail to compile:
+ // EXPECT_EQ(0, strict_cast<int>(static_cast<size_t>(0)));
+ // EXPECT_EQ(0, strict_cast<size_t>(static_cast<int>(0)));
+ // EXPECT_EQ(1ULL, StrictNumeric<size_t>(1));
+ // EXPECT_EQ(1, StrictNumeric<size_t>(1U));
+
+ // Test various saturation corner cases.
+ EXPECT_EQ(saturated_cast<int>(small_negative),
+ static_cast<int>(small_negative));
+ EXPECT_EQ(saturated_cast<int>(small_positive),
+ static_cast<int>(small_positive));
+ EXPECT_EQ(saturated_cast<unsigned>(small_negative), static_cast<unsigned>(0));
+ EXPECT_EQ(saturated_cast<int>(double_small), static_cast<int>(double_small));
+ EXPECT_EQ(saturated_cast<int>(double_large), numeric_limits<int>::max());
+ EXPECT_EQ(saturated_cast<float>(double_large), double_infinity);
+ EXPECT_EQ(saturated_cast<float>(-double_large), -double_infinity);
+ EXPECT_EQ(numeric_limits<int>::lowest(),
+ saturated_cast<int>(double_small_int));
+ EXPECT_EQ(numeric_limits<int>::max(), saturated_cast<int>(double_large_int));
+
+ // Test the saturated cast overrides.
+ using FloatLimits = numeric_limits<float>;
+ using IntLimits = numeric_limits<int>;
+ EXPECT_EQ(-1, (saturated_cast<int, CastTest1>(FloatLimits::quiet_NaN())));
+ EXPECT_EQ(CastTest1<int>::max(),
+ (saturated_cast<int, CastTest1>(FloatLimits::infinity())));
+ EXPECT_EQ(CastTest1<int>::max(),
+ (saturated_cast<int, CastTest1>(FloatLimits::max())));
+ EXPECT_EQ(CastTest1<int>::max(),
+ (saturated_cast<int, CastTest1>(float(IntLimits::max()))));
+ EXPECT_EQ(CastTest1<int>::lowest(),
+ (saturated_cast<int, CastTest1>(-FloatLimits::infinity())));
+ EXPECT_EQ(CastTest1<int>::lowest(),
+ (saturated_cast<int, CastTest1>(FloatLimits::lowest())));
+ EXPECT_EQ(0, (saturated_cast<int, CastTest1>(0.0)));
+ EXPECT_EQ(1, (saturated_cast<int, CastTest1>(1.0)));
+ EXPECT_EQ(-1, (saturated_cast<int, CastTest1>(-1.0)));
+ EXPECT_EQ(0, (saturated_cast<int, CastTest1>(0)));
+ EXPECT_EQ(1, (saturated_cast<int, CastTest1>(1)));
+ EXPECT_EQ(-1, (saturated_cast<int, CastTest1>(-1)));
+ EXPECT_EQ(CastTest1<int>::lowest(),
+ (saturated_cast<int, CastTest1>(float(IntLimits::lowest()))));
+ EXPECT_EQ(11, (saturated_cast<int, CastTest2>(FloatLimits::quiet_NaN())));
+ EXPECT_EQ(10, (saturated_cast<int, CastTest2>(FloatLimits::infinity())));
+ EXPECT_EQ(10, (saturated_cast<int, CastTest2>(FloatLimits::max())));
+ EXPECT_EQ(1, (saturated_cast<int, CastTest2>(-FloatLimits::infinity())));
+ EXPECT_EQ(1, (saturated_cast<int, CastTest2>(FloatLimits::lowest())));
+ EXPECT_EQ(1, (saturated_cast<int, CastTest2>(0U)));
+
+ float not_a_number = std::numeric_limits<float>::infinity() -
+ std::numeric_limits<float>::infinity();
+ EXPECT_TRUE(std::isnan(not_a_number));
+ EXPECT_EQ(0, saturated_cast<int>(not_a_number));
+
+ // Test the CheckedNumeric value extractions functions.
+ auto int8_min = MakeCheckedNum(numeric_limits<int8_t>::lowest());
+ auto int8_max = MakeCheckedNum(numeric_limits<int8_t>::max());
+ auto double_max = MakeCheckedNum(numeric_limits<double>::max());
+ static_assert(
+ std::is_same<int16_t,
+ decltype(int8_min.ValueOrDie<int16_t>())::type>::value,
+ "ValueOrDie returning incorrect type.");
+ static_assert(
+ std::is_same<int16_t,
+ decltype(int8_min.ValueOrDefault<int16_t>(0))::type>::value,
+ "ValueOrDefault returning incorrect type.");
+ EXPECT_FALSE(IsValidForType<uint8_t>(int8_min));
+ EXPECT_TRUE(IsValidForType<uint8_t>(int8_max));
+ EXPECT_EQ(static_cast<int>(numeric_limits<int8_t>::lowest()),
+ ValueOrDieForType<int>(int8_min));
+ EXPECT_TRUE(IsValidForType<uint32_t>(int8_max));
+ EXPECT_EQ(static_cast<int>(numeric_limits<int8_t>::max()),
+ ValueOrDieForType<int>(int8_max));
+ EXPECT_EQ(0, ValueOrDefaultForType<int>(double_max, 0));
+ uint8_t uint8_dest = 0;
+ int16_t int16_dest = 0;
+ double double_dest = 0;
+ EXPECT_TRUE(int8_max.AssignIfValid(&uint8_dest));
+ EXPECT_EQ(static_cast<uint8_t>(numeric_limits<int8_t>::max()), uint8_dest);
+ EXPECT_FALSE(int8_min.AssignIfValid(&uint8_dest));
+ EXPECT_TRUE(int8_max.AssignIfValid(&int16_dest));
+ EXPECT_EQ(static_cast<int16_t>(numeric_limits<int8_t>::max()), int16_dest);
+ EXPECT_TRUE(int8_min.AssignIfValid(&int16_dest));
+ EXPECT_EQ(static_cast<int16_t>(numeric_limits<int8_t>::lowest()), int16_dest);
+ EXPECT_FALSE(double_max.AssignIfValid(&uint8_dest));
+ EXPECT_FALSE(double_max.AssignIfValid(&int16_dest));
+ EXPECT_TRUE(double_max.AssignIfValid(&double_dest));
+ EXPECT_EQ(numeric_limits<double>::max(), double_dest);
+ EXPECT_EQ(1, checked_cast<int>(StrictNumeric<int>(1)));
+ EXPECT_EQ(1, saturated_cast<int>(StrictNumeric<int>(1)));
+ EXPECT_EQ(1, strict_cast<int>(StrictNumeric<int>(1)));
+
+ enum class EnumTest { kOne = 1 };
+ EXPECT_EQ(1, checked_cast<int>(EnumTest::kOne));
+ EXPECT_EQ(1, saturated_cast<int>(EnumTest::kOne));
+ EXPECT_EQ(1, strict_cast<int>(EnumTest::kOne));
+}
+
+TEST(SafeNumerics, IsValueInRangeForNumericType) {
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint32_t>(0));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint32_t>(1));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint32_t>(2));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint32_t>(-1));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint32_t>(0xffffffffu));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint32_t>(UINT64_C(0xffffffff)));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint32_t>(UINT64_C(0x100000000)));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint32_t>(UINT64_C(0x100000001)));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint32_t>(
+ std::numeric_limits<int32_t>::lowest()));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint32_t>(
+ std::numeric_limits<int64_t>::lowest()));
+
+ EXPECT_TRUE(IsValueInRangeForNumericType<int32_t>(0));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int32_t>(1));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int32_t>(2));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int32_t>(-1));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int32_t>(0x7fffffff));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int32_t>(0x7fffffffu));
+ EXPECT_FALSE(IsValueInRangeForNumericType<int32_t>(0x80000000u));
+ EXPECT_FALSE(IsValueInRangeForNumericType<int32_t>(0xffffffffu));
+ EXPECT_FALSE(IsValueInRangeForNumericType<int32_t>(INT64_C(0x80000000)));
+ EXPECT_FALSE(IsValueInRangeForNumericType<int32_t>(INT64_C(0xffffffff)));
+ EXPECT_FALSE(IsValueInRangeForNumericType<int32_t>(INT64_C(0x100000000)));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int32_t>(
+ std::numeric_limits<int32_t>::lowest()));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int32_t>(
+ static_cast<int64_t>(std::numeric_limits<int32_t>::lowest())));
+ EXPECT_FALSE(IsValueInRangeForNumericType<int32_t>(
+ static_cast<int64_t>(std::numeric_limits<int32_t>::lowest()) - 1));
+ EXPECT_FALSE(IsValueInRangeForNumericType<int32_t>(
+ std::numeric_limits<int64_t>::lowest()));
+
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint64_t>(0));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint64_t>(1));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint64_t>(2));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint64_t>(-1));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint64_t>(0xffffffffu));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint64_t>(UINT64_C(0xffffffff)));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint64_t>(UINT64_C(0x100000000)));
+ EXPECT_TRUE(IsValueInRangeForNumericType<uint64_t>(UINT64_C(0x100000001)));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint64_t>(
+ std::numeric_limits<int32_t>::lowest()));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint64_t>(INT64_C(-1)));
+ EXPECT_FALSE(IsValueInRangeForNumericType<uint64_t>(
+ std::numeric_limits<int64_t>::lowest()));
+
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(0));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(1));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(2));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(-1));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(0x7fffffff));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(0x7fffffffu));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(0x80000000u));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(0xffffffffu));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(INT64_C(0x80000000)));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(INT64_C(0xffffffff)));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(INT64_C(0x100000000)));
+ EXPECT_TRUE(
+ IsValueInRangeForNumericType<int64_t>(INT64_C(0x7fffffffffffffff)));
+ EXPECT_TRUE(
+ IsValueInRangeForNumericType<int64_t>(UINT64_C(0x7fffffffffffffff)));
+ EXPECT_FALSE(
+ IsValueInRangeForNumericType<int64_t>(UINT64_C(0x8000000000000000)));
+ EXPECT_FALSE(
+ IsValueInRangeForNumericType<int64_t>(UINT64_C(0xffffffffffffffff)));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(
+ std::numeric_limits<int32_t>::lowest()));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(
+ static_cast<int64_t>(std::numeric_limits<int32_t>::lowest())));
+ EXPECT_TRUE(IsValueInRangeForNumericType<int64_t>(
+ std::numeric_limits<int64_t>::lowest()));
+}
+
+TEST(SafeNumerics, CompoundNumericOperations) {
+ CheckedNumeric<int> a = 1;
+ CheckedNumeric<int> b = 2;
+ CheckedNumeric<int> c = 3;
+ CheckedNumeric<int> d = 4;
+ a += b;
+ EXPECT_EQ(3, a.ValueOrDie());
+ a -= c;
+ EXPECT_EQ(0, a.ValueOrDie());
+ d /= b;
+ EXPECT_EQ(2, d.ValueOrDie());
+ d *= d;
+ EXPECT_EQ(4, d.ValueOrDie());
+
+ CheckedNumeric<int> too_large = std::numeric_limits<int>::max();
+ EXPECT_TRUE(too_large.IsValid());
+ too_large += d;
+ EXPECT_FALSE(too_large.IsValid());
+ too_large -= d;
+ EXPECT_FALSE(too_large.IsValid());
+ too_large /= d;
+ EXPECT_FALSE(too_large.IsValid());
+}
+
+TEST(SafeNumerics, VariadicNumericOperations) {
+ { // Synthetic scope to avoid variable naming collisions.
+ auto a = CheckAdd(1, 2UL, MakeCheckedNum(3LL), 4).ValueOrDie();
+ EXPECT_EQ(static_cast<decltype(a)::type>(10), a);
+ auto b = CheckSub(MakeCheckedNum(20.0), 2UL, 4).ValueOrDie();
+ EXPECT_EQ(static_cast<decltype(b)::type>(14.0), b);
+ auto c = CheckMul(20.0, MakeCheckedNum(1), 5, 3UL).ValueOrDie();
+ EXPECT_EQ(static_cast<decltype(c)::type>(300.0), c);
+ auto d = CheckDiv(20.0, 2.0, MakeCheckedNum(5LL), -4).ValueOrDie();
+ EXPECT_EQ(static_cast<decltype(d)::type>(-.5), d);
+ auto e = CheckMod(MakeCheckedNum(20), 3).ValueOrDie();
+ EXPECT_EQ(static_cast<decltype(e)::type>(2), e);
+ auto f = CheckLsh(1, MakeCheckedNum(2)).ValueOrDie();
+ EXPECT_EQ(static_cast<decltype(f)::type>(4), f);
+ auto g = CheckRsh(4, MakeCheckedNum(2)).ValueOrDie();
+ EXPECT_EQ(static_cast<decltype(g)::type>(1), g);
+ auto h = CheckRsh(CheckAdd(1, 1, 1, 1), CheckSub(4, 2)).ValueOrDie();
+ EXPECT_EQ(static_cast<decltype(h)::type>(1), h);
+ }
+
+ {
+ auto a = ClampAdd(1, 2UL, MakeClampedNum(3LL), 4);
+ EXPECT_EQ(static_cast<decltype(a)::type>(10), a);
+ auto b = ClampSub(MakeClampedNum(20.0), 2UL, 4);
+ EXPECT_EQ(static_cast<decltype(b)::type>(14.0), b);
+ auto c = ClampMul(20.0, MakeClampedNum(1), 5, 3UL);
+ EXPECT_EQ(static_cast<decltype(c)::type>(300.0), c);
+ auto d = ClampDiv(20.0, 2.0, MakeClampedNum(5LL), -4);
+ EXPECT_EQ(static_cast<decltype(d)::type>(-.5), d);
+ auto e = ClampMod(MakeClampedNum(20), 3);
+ EXPECT_EQ(static_cast<decltype(e)::type>(2), e);
+ auto f = ClampLsh(1, MakeClampedNum(2U));
+ EXPECT_EQ(static_cast<decltype(f)::type>(4), f);
+ auto g = ClampRsh(4, MakeClampedNum(2U));
+ EXPECT_EQ(static_cast<decltype(g)::type>(1), g);
+ auto h = ClampRsh(ClampAdd(1, 1, 1, 1), ClampSub(4U, 2));
+ EXPECT_EQ(static_cast<decltype(h)::type>(1), h);
+ }
+}
+
+#if defined(__clang__)
+#pragma clang diagnostic pop // -Winteger-overflow
+#endif
+
+} // namespace internal
+} // namespace base