diff options
Diffstat (limited to 'absl/numeric')
| -rw-r--r-- | absl/numeric/int128.cc | 129 | ||||
| -rw-r--r-- | absl/numeric/int128.h | 363 | ||||
| -rw-r--r-- | absl/numeric/int128_have_intrinsic.inc | 284 | ||||
| -rw-r--r-- | absl/numeric/int128_no_intrinsic.inc | 290 | ||||
| -rw-r--r-- | absl/numeric/int128_stream_test.cc | 729 | ||||
| -rw-r--r-- | absl/numeric/int128_test.cc | 743 |
6 files changed, 2533 insertions, 5 deletions
diff --git a/absl/numeric/int128.cc b/absl/numeric/int128.cc index 93b62c52901e..1eba09de38c8 100644 --- a/absl/numeric/int128.cc +++ b/absl/numeric/int128.cc @@ -244,6 +244,111 @@ std::ostream& operator<<(std::ostream& os, uint128 v) { return os << rep; } +namespace { + +uint128 UnsignedAbsoluteValue(int128 v) { + // Cast to uint128 before possibly negating because -Int128Min() is undefined. + return Int128High64(v) < 0 ? -uint128(v) : uint128(v); +} + +} // namespace + +#if !defined(ABSL_HAVE_INTRINSIC_INT128) +namespace { + +template <typename T> +int128 MakeInt128FromFloat(T v) { + // Conversion when v is NaN or cannot fit into int128 would be undefined + // behavior if using an intrinsic 128-bit integer. + assert(std::isfinite(v) && (std::numeric_limits<T>::max_exponent <= 127 || + (v >= -std::ldexp(static_cast<T>(1), 127) && + v < std::ldexp(static_cast<T>(1), 127)))); + + // We must convert the absolute value and then negate as needed, because + // floating point types are typically sign-magnitude. Otherwise, the + // difference between the high and low 64 bits when interpreted as two's + // complement overwhelms the precision of the mantissa. + uint128 result = v < 0 ? -MakeUint128FromFloat(-v) : MakeUint128FromFloat(v); + return MakeInt128(int128_internal::BitCastToSigned(Uint128High64(result)), + Uint128Low64(result)); +} + +} // namespace + +int128::int128(float v) : int128(MakeInt128FromFloat(v)) {} +int128::int128(double v) : int128(MakeInt128FromFloat(v)) {} +int128::int128(long double v) : int128(MakeInt128FromFloat(v)) {} + +int128 operator/(int128 lhs, int128 rhs) { + assert(lhs != Int128Min() || rhs != -1); // UB on two's complement. + + uint128 quotient = 0; + uint128 remainder = 0; + DivModImpl(UnsignedAbsoluteValue(lhs), UnsignedAbsoluteValue(rhs), + "ient, &remainder); + if ((Int128High64(lhs) < 0) != (Int128High64(rhs) < 0)) quotient = -quotient; + return MakeInt128(int128_internal::BitCastToSigned(Uint128High64(quotient)), + Uint128Low64(quotient)); +} + +int128 operator%(int128 lhs, int128 rhs) { + assert(lhs != Int128Min() || rhs != -1); // UB on two's complement. + + uint128 quotient = 0; + uint128 remainder = 0; + DivModImpl(UnsignedAbsoluteValue(lhs), UnsignedAbsoluteValue(rhs), + "ient, &remainder); + if (Int128High64(lhs) < 0) remainder = -remainder; + return MakeInt128(int128_internal::BitCastToSigned(Uint128High64(remainder)), + Uint128Low64(remainder)); +} +#endif // ABSL_HAVE_INTRINSIC_INT128 + +std::ostream& operator<<(std::ostream& os, int128 v) { + std::ios_base::fmtflags flags = os.flags(); + std::string rep; + + // Add the sign if needed. + bool print_as_decimal = + (flags & std::ios::basefield) == std::ios::dec || + (flags & std::ios::basefield) == std::ios_base::fmtflags(); + if (print_as_decimal) { + if (Int128High64(v) < 0) { + rep = "-"; + } else if (flags & std::ios::showpos) { + rep = "+"; + } + } + + rep.append(Uint128ToFormattedString( + print_as_decimal ? UnsignedAbsoluteValue(v) : uint128(v), os.flags())); + + // Add the requisite padding. + std::streamsize width = os.width(0); + if (static_cast<size_t>(width) > rep.size()) { + switch (flags & std::ios::adjustfield) { + case std::ios::left: + rep.append(width - rep.size(), os.fill()); + break; + case std::ios::internal: + if (print_as_decimal && (rep[0] == '+' || rep[0] == '-')) { + rep.insert(1, width - rep.size(), os.fill()); + } else if ((flags & std::ios::basefield) == std::ios::hex && + (flags & std::ios::showbase) && v != 0) { + rep.insert(2, width - rep.size(), os.fill()); + } else { + rep.insert(0, width - rep.size(), os.fill()); + } + break; + default: // std::ios::right + rep.insert(0, width - rep.size(), os.fill()); + break; + } + } + + return os << rep; +} + } // namespace absl namespace std { @@ -270,4 +375,28 @@ constexpr int numeric_limits<absl::uint128>::max_exponent; constexpr int numeric_limits<absl::uint128>::max_exponent10; constexpr bool numeric_limits<absl::uint128>::traps; constexpr bool numeric_limits<absl::uint128>::tinyness_before; + +constexpr bool numeric_limits<absl::int128>::is_specialized; +constexpr bool numeric_limits<absl::int128>::is_signed; +constexpr bool numeric_limits<absl::int128>::is_integer; +constexpr bool numeric_limits<absl::int128>::is_exact; +constexpr bool numeric_limits<absl::int128>::has_infinity; +constexpr bool numeric_limits<absl::int128>::has_quiet_NaN; +constexpr bool numeric_limits<absl::int128>::has_signaling_NaN; +constexpr float_denorm_style numeric_limits<absl::int128>::has_denorm; +constexpr bool numeric_limits<absl::int128>::has_denorm_loss; +constexpr float_round_style numeric_limits<absl::int128>::round_style; +constexpr bool numeric_limits<absl::int128>::is_iec559; +constexpr bool numeric_limits<absl::int128>::is_bounded; +constexpr bool numeric_limits<absl::int128>::is_modulo; +constexpr int numeric_limits<absl::int128>::digits; +constexpr int numeric_limits<absl::int128>::digits10; +constexpr int numeric_limits<absl::int128>::max_digits10; +constexpr int numeric_limits<absl::int128>::radix; +constexpr int numeric_limits<absl::int128>::min_exponent; +constexpr int numeric_limits<absl::int128>::min_exponent10; +constexpr int numeric_limits<absl::int128>::max_exponent; +constexpr int numeric_limits<absl::int128>::max_exponent10; +constexpr bool numeric_limits<absl::int128>::traps; +constexpr bool numeric_limits<absl::int128>::tinyness_before; } // namespace std diff --git a/absl/numeric/int128.h b/absl/numeric/int128.h index 4f965686c393..506176127fe6 100644 --- a/absl/numeric/int128.h +++ b/absl/numeric/int128.h @@ -17,10 +17,7 @@ // File: int128.h // ----------------------------------------------------------------------------- // -// This header file defines 128-bit integer types. -// -// Currently, this file defines `uint128`, an unsigned 128-bit integer; -// a signed 128-bit integer is forthcoming. +// This header file defines 128-bit integer types, `uint128` and `int128`. #ifndef ABSL_NUMERIC_INT128_H_ #define ABSL_NUMERIC_INT128_H_ @@ -53,6 +50,8 @@ namespace absl { +class int128; + // uint128 // // An unsigned 128-bit integer type. The API is meant to mimic an intrinsic type @@ -116,6 +115,7 @@ class constexpr uint128(__int128 v); // NOLINT(runtime/explicit) constexpr uint128(unsigned __int128 v); // NOLINT(runtime/explicit) #endif // ABSL_HAVE_INTRINSIC_INT128 + constexpr uint128(int128 v); // NOLINT(runtime/explicit) explicit uint128(float v); explicit uint128(double v); explicit uint128(long double v); @@ -131,6 +131,7 @@ class uint128& operator=(__int128 v); uint128& operator=(unsigned __int128 v); #endif // ABSL_HAVE_INTRINSIC_INT128 + uint128& operator=(int128 v); // Conversion operators to other arithmetic types constexpr explicit operator bool() const; @@ -291,7 +292,238 @@ class numeric_limits<absl::uint128> { }; } // namespace std -// TODO(absl-team): Implement signed 128-bit type +namespace absl { + +// int128 +// +// A signed 128-bit integer type. The API is meant to mimic an intrinsic +// integral type as closely as is practical, including exhibiting undefined +// behavior in analogous cases (e.g. division by zero). +// +// An `int128` supports the following: +// +// * Implicit construction from integral types +// * Explicit conversion to integral types +// +// However, an `int128` differs from intrinsic integral types in the following +// ways: +// +// * It is not implicitly convertible to other integral types. +// * Requires explicit construction from and conversion to floating point +// types. + +// Additionally, if your compiler supports `__int128`, `int128` is +// interoperable with that type. (Abseil checks for this compatibility through +// the `ABSL_HAVE_INTRINSIC_INT128` macro.) +// +// The design goal for `int128` is that it will be compatible with a future +// `int128_t`, if that type becomes a part of the standard. +// +// Example: +// +// float y = absl::int128(17); // Error. int128 cannot be implicitly +// // converted to float. +// +// absl::int128 v; +// int64_t i = v; // Error +// int64_t i = static_cast<int64_t>(v); // OK +// +class int128 { + public: + int128() = default; + + // Constructors from arithmetic types + constexpr int128(int v); // NOLINT(runtime/explicit) + constexpr int128(unsigned int v); // NOLINT(runtime/explicit) + constexpr int128(long v); // NOLINT(runtime/int) + constexpr int128(unsigned long v); // NOLINT(runtime/int) + constexpr int128(long long v); // NOLINT(runtime/int) + constexpr int128(unsigned long long v); // NOLINT(runtime/int) +#ifdef ABSL_HAVE_INTRINSIC_INT128 + constexpr int128(__int128 v); // NOLINT(runtime/explicit) + constexpr explicit int128(unsigned __int128 v); +#endif // ABSL_HAVE_INTRINSIC_INT128 + constexpr explicit int128(uint128 v); + explicit int128(float v); + explicit int128(double v); + explicit int128(long double v); + + // Assignment operators from arithmetic types + int128& operator=(int v); + int128& operator=(unsigned int v); + int128& operator=(long v); // NOLINT(runtime/int) + int128& operator=(unsigned long v); // NOLINT(runtime/int) + int128& operator=(long long v); // NOLINT(runtime/int) + int128& operator=(unsigned long long v); // NOLINT(runtime/int) +#ifdef ABSL_HAVE_INTRINSIC_INT128 + int128& operator=(__int128 v); +#endif // ABSL_HAVE_INTRINSIC_INT128 + + // Conversion operators to other arithmetic types + constexpr explicit operator bool() const; + constexpr explicit operator char() const; + constexpr explicit operator signed char() const; + constexpr explicit operator unsigned char() const; + constexpr explicit operator char16_t() const; + constexpr explicit operator char32_t() const; + constexpr explicit operator ABSL_INTERNAL_WCHAR_T() const; + constexpr explicit operator short() const; // NOLINT(runtime/int) + // NOLINTNEXTLINE(runtime/int) + constexpr explicit operator unsigned short() const; + constexpr explicit operator int() const; + constexpr explicit operator unsigned int() const; + constexpr explicit operator long() const; // NOLINT(runtime/int) + // NOLINTNEXTLINE(runtime/int) + constexpr explicit operator unsigned long() const; + // NOLINTNEXTLINE(runtime/int) + constexpr explicit operator long long() const; + // NOLINTNEXTLINE(runtime/int) + constexpr explicit operator unsigned long long() const; +#ifdef ABSL_HAVE_INTRINSIC_INT128 + constexpr explicit operator __int128() const; + constexpr explicit operator unsigned __int128() const; +#endif // ABSL_HAVE_INTRINSIC_INT128 + explicit operator float() const; + explicit operator double() const; + explicit operator long double() const; + + // Trivial copy constructor, assignment operator and destructor. + + // Arithmetic operators + int128& operator+=(int128 other); + int128& operator-=(int128 other); + int128& operator*=(int128 other); + int128& operator/=(int128 other); + int128& operator%=(int128 other); + int128 operator++(int); // postfix increment: i++ + int128 operator--(int); // postfix decrement: i-- + int128& operator++(); // prefix increment: ++i + int128& operator--(); // prefix decrement: --i + int128& operator&=(int128 other); + int128& operator|=(int128 other); + int128& operator^=(int128 other); + int128& operator<<=(int amount); + int128& operator>>=(int amount); + + // Int128Low64() + // + // Returns the lower 64-bit value of a `int128` value. + friend constexpr uint64_t Int128Low64(int128 v); + + // Int128High64() + // + // Returns the higher 64-bit value of a `int128` value. + friend constexpr int64_t Int128High64(int128 v); + + // MakeInt128() + // + // Constructs a `int128` numeric value from two 64-bit integers. Note that + // signedness is conveyed in the upper `high` value. + // + // (absl::int128(1) << 64) * high + low + // + // Note that this factory function is the only way to construct a `int128` + // from integer values greater than 2^64 or less than -2^64. + // + // Example: + // + // absl::int128 big = absl::MakeInt128(1, 0); + // absl::int128 big_n = absl::MakeInt128(-1, 0); + friend constexpr int128 MakeInt128(int64_t high, uint64_t low); + + // Int128Max() + // + // Returns the maximum value for a 128-bit signed integer. + friend constexpr int128 Int128Max(); + + // Int128Min() + // + // Returns the minimum value for a 128-bit signed integer. + friend constexpr int128 Int128Min(); + + // Support for absl::Hash. + template <typename H> + friend H AbslHashValue(H h, int128 v) { + return H::combine(std::move(h), Int128High64(v), Int128Low64(v)); + } + + private: + constexpr int128(int64_t high, uint64_t low); + +#if defined(ABSL_HAVE_INTRINSIC_INT128) + __int128 v_; +#else // ABSL_HAVE_INTRINSIC_INT128 +#if defined(ABSL_IS_LITTLE_ENDIAN) + uint64_t lo_; + int64_t hi_; +#elif defined(ABSL_IS_BIG_ENDIAN) + int64_t hi_; + uint64_t lo_; +#else // byte order +#error "Unsupported byte order: must be little-endian or big-endian." +#endif // byte order +#endif // ABSL_HAVE_INTRINSIC_INT128 +}; + +std::ostream& operator<<(std::ostream& os, int128 v); + +// TODO(absl-team) add operator>>(std::istream&, int128) + +constexpr int128 Int128Max() { + return int128((std::numeric_limits<int64_t>::max)(), + (std::numeric_limits<uint64_t>::max)()); +} + +constexpr int128 Int128Min() { + return int128((std::numeric_limits<int64_t>::min)(), 0); +} + +} // namespace absl + +// Specialized numeric_limits for int128. +namespace std { +template <> +class numeric_limits<absl::int128> { + public: + static constexpr bool is_specialized = true; + static constexpr bool is_signed = true; + static constexpr bool is_integer = true; + static constexpr bool is_exact = true; + static constexpr bool has_infinity = false; + static constexpr bool has_quiet_NaN = false; + static constexpr bool has_signaling_NaN = false; + static constexpr float_denorm_style has_denorm = denorm_absent; + static constexpr bool has_denorm_loss = false; + static constexpr float_round_style round_style = round_toward_zero; + static constexpr bool is_iec559 = false; + static constexpr bool is_bounded = true; + static constexpr bool is_modulo = false; + static constexpr int digits = 127; + static constexpr int digits10 = 38; + static constexpr int max_digits10 = 0; + static constexpr int radix = 2; + static constexpr int min_exponent = 0; + static constexpr int min_exponent10 = 0; + static constexpr int max_exponent = 0; + static constexpr int max_exponent10 = 0; +#ifdef ABSL_HAVE_INTRINSIC_INT128 + static constexpr bool traps = numeric_limits<__int128>::traps; +#else // ABSL_HAVE_INTRINSIC_INT128 + static constexpr bool traps = numeric_limits<uint64_t>::traps; +#endif // ABSL_HAVE_INTRINSIC_INT128 + static constexpr bool tinyness_before = false; + + static constexpr absl::int128 (min)() { return absl::Int128Min(); } + static constexpr absl::int128 lowest() { return absl::Int128Min(); } + static constexpr absl::int128 (max)() { return absl::Int128Max(); } + static constexpr absl::int128 epsilon() { return 0; } + static constexpr absl::int128 round_error() { return 0; } + static constexpr absl::int128 infinity() { return 0; } + static constexpr absl::int128 quiet_NaN() { return 0; } + static constexpr absl::int128 signaling_NaN() { return 0; } + static constexpr absl::int128 denorm_min() { return 0; } +}; +} // namespace std // -------------------------------------------------------------------------- // Implementation details follow @@ -339,6 +571,10 @@ inline uint128& uint128::operator=(unsigned __int128 v) { } #endif // ABSL_HAVE_INTRINSIC_INT128 +inline uint128& uint128::operator=(int128 v) { + return *this = uint128(v); +} + // Arithmetic operators. uint128 operator<<(uint128 lhs, int amount); @@ -420,6 +656,9 @@ constexpr uint128::uint128(unsigned __int128 v) hi_{static_cast<uint64_t>(v >> 64)} {} #endif // ABSL_HAVE_INTRINSIC_INT128 +constexpr uint128::uint128(int128 v) + : lo_{Int128Low64(v)}, hi_{static_cast<uint64_t>(Int128High64(v))} {} + #elif defined(ABSL_IS_BIG_ENDIAN) constexpr uint128::uint128(uint64_t high, uint64_t low) @@ -450,6 +689,9 @@ constexpr uint128::uint128(unsigned __int128 v) lo_{static_cast<uint64_t>(v & ~uint64_t{0})} {} #endif // ABSL_HAVE_INTRINSIC_INT128 +constexpr uint128::uint128(int128 v) + : hi_{static_cast<uint64_t>(Int128High64(v))}, lo_{Int128Low64(v)} {} + #else // byte order #error "Unsupported byte order: must be little-endian or big-endian." #endif // byte order @@ -719,6 +961,117 @@ inline uint128& uint128::operator--() { return *this; } +constexpr int128 MakeInt128(int64_t high, uint64_t low) { + return int128(high, low); +} + +// Assignment from integer types. +inline int128& int128::operator=(int v) { + return *this = int128(v); +} + +inline int128& int128::operator=(unsigned int v) { + return *this = int128(v); +} + +inline int128& int128::operator=(long v) { // NOLINT(runtime/int) + return *this = int128(v); +} + +// NOLINTNEXTLINE(runtime/int) +inline int128& int128::operator=(unsigned long v) { + return *this = int128(v); +} + +// NOLINTNEXTLINE(runtime/int) +inline int128& int128::operator=(long long v) { + return *this = int128(v); +} + +// NOLINTNEXTLINE(runtime/int) +inline int128& int128::operator=(unsigned long long v) { + return *this = int128(v); +} + +// Arithmetic operators. + +int128 operator+(int128 lhs, int128 rhs); +int128 operator-(int128 lhs, int128 rhs); +int128 operator*(int128 lhs, int128 rhs); +int128 operator/(int128 lhs, int128 rhs); +int128 operator%(int128 lhs, int128 rhs); +int128 operator|(int128 lhs, int128 rhs); +int128 operator&(int128 lhs, int128 rhs); +int128 operator^(int128 lhs, int128 rhs); +int128 operator<<(int128 lhs, int amount); +int128 operator>>(int128 lhs, int amount); + +inline int128& int128::operator+=(int128 other) { + *this = *this + other; + return *this; +} + +inline int128& int128::operator-=(int128 other) { + *this = *this - other; + return *this; +} + +inline int128& int128::operator*=(int128 other) { + *this = *this * other; + return *this; +} + +inline int128& int128::operator/=(int128 other) { + *this = *this / other; + return *this; +} + +inline int128& int128::operator%=(int128 other) { + *this = *this % other; + return *this; +} + +inline int128& int128::operator|=(int128 other) { + *this = *this | other; + return *this; +} + +inline int128& int128::operator&=(int128 other) { + *this = *this & other; + return *this; +} + +inline int128& int128::operator^=(int128 other) { + *this = *this ^ other; + return *this; +} + +inline int128& int128::operator<<=(int amount) { + *this = *this << amount; + return *this; +} + +inline int128& int128::operator>>=(int amount) { + *this = *this >> amount; + return *this; +} + +namespace int128_internal { + +// Casts from unsigned to signed while preserving the underlying binary +// representation. +constexpr int64_t BitCastToSigned(uint64_t v) { + // Casting an unsigned integer to a signed integer of the same + // width is implementation defined behavior if the source value would not fit + // in the destination type. We step around it with a roundtrip bitwise not + // operation to make sure this function remains constexpr. Clang, GCC, and + // MSVC optimize this to a no-op on x86-64. + return v & (uint64_t{1} << 63) ? ~static_cast<int64_t>(~v) + : static_cast<int64_t>(v); +} + +} // namespace int128_internal + #if defined(ABSL_HAVE_INTRINSIC_INT128) #include "absl/numeric/int128_have_intrinsic.inc" // IWYU pragma: export #else // ABSL_HAVE_INTRINSIC_INT128 diff --git a/absl/numeric/int128_have_intrinsic.inc b/absl/numeric/int128_have_intrinsic.inc index c7ea68345307..d6c76dd320ce 100644 --- a/absl/numeric/int128_have_intrinsic.inc +++ b/absl/numeric/int128_have_intrinsic.inc @@ -16,3 +16,287 @@ // This file contains :int128 implementation details that depend on internal // representation when ABSL_HAVE_INTRINSIC_INT128 is defined. This file is // included by int128.h and relies on ABSL_INTERNAL_WCHAR_T being defined. + +namespace int128_internal { + +// Casts from unsigned to signed while preserving the underlying binary +// representation. +constexpr __int128 BitCastToSigned(unsigned __int128 v) { + // Casting an unsigned integer to a signed integer of the same + // width is implementation defined behavior if the source value would not fit + // in the destination type. We step around it with a roundtrip bitwise not + // operation to make sure this function remains constexpr. Clang and GCC + // optimize this to a no-op on x86-64. + return v & (static_cast<unsigned __int128>(1) << 127) + ? ~static_cast<__int128>(~v) + : static_cast<__int128>(v); +} + +} // namespace int128_internal + +inline int128& int128::operator=(__int128 v) { + v_ = v; + return *this; +} + +constexpr uint64_t Int128Low64(int128 v) { + return static_cast<uint64_t>(v.v_ & ~uint64_t{0}); +} + +constexpr int64_t Int128High64(int128 v) { + // Initially cast to unsigned to prevent a right shift on a negative value. + return int128_internal::BitCastToSigned( + static_cast<uint64_t>(static_cast<unsigned __int128>(v.v_) >> 64)); +} + +constexpr int128::int128(int64_t high, uint64_t low) + // Initially cast to unsigned to prevent a left shift that overflows. + : v_(int128_internal::BitCastToSigned(static_cast<unsigned __int128>(high) + << 64) | + low) {} + + +constexpr int128::int128(int v) : v_{v} {} + +constexpr int128::int128(long v) : v_{v} {} // NOLINT(runtime/int) + +constexpr int128::int128(long long v) : v_{v} {} // NOLINT(runtime/int) + +constexpr int128::int128(__int128 v) : v_{v} {} + +constexpr int128::int128(unsigned int v) : v_{v} {} + +constexpr int128::int128(unsigned long v) : v_{v} {} // NOLINT(runtime/int) + +// NOLINTNEXTLINE(runtime/int) +constexpr int128::int128(unsigned long long v) : v_{v} {} + +constexpr int128::int128(unsigned __int128 v) : v_{static_cast<__int128>(v)} {} + +inline int128::int128(float v) { + v_ = static_cast<__int128>(v); +} + +inline int128::int128(double v) { + v_ = static_cast<__int128>(v); +} + +inline int128::int128(long double v) { + v_ = static_cast<__int128>(v); +} + +constexpr int128::int128(uint128 v) : v_{static_cast<__int128>(v)} {} + +constexpr int128::operator bool() const { return static_cast<bool>(v_); } + +constexpr int128::operator char() const { return static_cast<char>(v_); } + +constexpr int128::operator signed char() const { + return static_cast<signed char>(v_); +} + +constexpr int128::operator unsigned char() const { + return static_cast<unsigned char>(v_); +} + +constexpr int128::operator char16_t() const { + return static_cast<char16_t>(v_); +} + +constexpr int128::operator char32_t() const { + return static_cast<char32_t>(v_); +} + +constexpr int128::operator ABSL_INTERNAL_WCHAR_T() const { + return static_cast<ABSL_INTERNAL_WCHAR_T>(v_); +} + +constexpr int128::operator short() const { // NOLINT(runtime/int) + return static_cast<short>(v_); // NOLINT(runtime/int) +} + +constexpr int128::operator unsigned short() const { // NOLINT(runtime/int) + return static_cast<unsigned short>(v_); // NOLINT(runtime/int) +} + +constexpr int128::operator int() const { + return static_cast<int>(v_); +} + +constexpr int128::operator unsigned int() const { + return static_cast<unsigned int>(v_); +} + +constexpr int128::operator long() const { // NOLINT(runtime/int) + return static_cast<long>(v_); // NOLINT(runtime/int) +} + +constexpr int128::operator unsigned long() const { // NOLINT(runtime/int) + return static_cast<unsigned long>(v_); // NOLINT(runtime/int) +} + +constexpr int128::operator long long() const { // NOLINT(runtime/int) + return static_cast<long long>(v_); // NOLINT(runtime/int) +} + +constexpr int128::operator unsigned long long() const { // NOLINT(runtime/int) + return static_cast<unsigned long long>(v_); // NOLINT(runtime/int) +} + +constexpr int128::operator __int128() const { return v_; } + +constexpr int128::operator unsigned __int128() const { + return static_cast<unsigned __int128>(v_); +} + +// Clang on PowerPC sometimes produces incorrect __int128 to floating point +// conversions. In that case, we do the conversion with a similar implementation +// to the conversion operators in int128_no_intrinsic.inc. +#if defined(__clang__) && !defined(__ppc64__) +inline int128::operator float() const { return static_cast<float>(v_); } + +inline int128::operator double () const { return static_cast<double>(v_); } + +inline int128::operator long double() const { + return static_cast<long double>(v_); +} + +#else // Clang on PowerPC +// Forward declaration for conversion operators to floating point types. +int128 operator-(int128 v); +bool operator!=(int128 lhs, int128 rhs); + +inline int128::operator float() const { + // We must convert the absolute value and then negate as needed, because + // floating point types are typically sign-magnitude. Otherwise, the + // difference between the high and low 64 bits when interpreted as two's + // complement overwhelms the precision of the mantissa. + // + // Also check to make sure we don't negate Int128Min() + return v_ < 0 && *this != Int128Min() + ? -static_cast<float>(-*this) + : static_cast<float>(Int128Low64(*this)) + + std::ldexp(static_cast<float>(Int128High64(*this)), 64); +} + +inline int128::operator double() const { + // See comment in int128::operator float() above. + return v_ < 0 && *this != Int128Min() + ? -static_cast<double>(-*this) + : static_cast<double>(Int128Low64(*this)) + + std::ldexp(static_cast<double>(Int128High64(*this)), 64); +} + +inline int128::operator long double() const { + // See comment in int128::operator float() above. + return v_ < 0 && *this != Int128Min() + ? -static_cast<long double>(-*this) + : static_cast<long double>(Int128Low64(*this)) + + std::ldexp(static_cast<long double>(Int128High64(*this)), + 64); +} +#endif // Clang on PowerPC + +// Comparison operators. + +inline bool operator==(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) == static_cast<__int128>(rhs); +} + +inline bool operator!=(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) != static_cast<__int128>(rhs); +} + +inline bool operator<(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) < static_cast<__int128>(rhs); +} + +inline bool operator>(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) > static_cast<__int128>(rhs); +} + +inline bool operator<=(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) <= static_cast<__int128>(rhs); +} + +inline bool operator>=(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) >= static_cast<__int128>(rhs); +} + +// Unary operators. + +inline int128 operator-(int128 v) { + return -static_cast<__int128>(v); +} + +inline bool operator!(int128 v) { + return !static_cast<__int128>(v); +} + +inline int128 operator~(int128 val) { + return ~static_cast<__int128>(val); +} + +// Arithmetic operators. + +inline int128 operator+(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) + static_cast<__int128>(rhs); +} + +inline int128 operator-(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) - static_cast<__int128>(rhs); +} + +inline int128 operator*(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) * static_cast<__int128>(rhs); +} + +inline int128 operator/(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) / static_cast<__int128>(rhs); +} + +inline int128 operator%(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) % static_cast<__int128>(rhs); +} + +inline int128 int128::operator++(int) { + int128 tmp(*this); + ++v_; + return tmp; +} + +inline int128 int128::operator--(int) { + int128 tmp(*this); + --v_; + return tmp; +} + +inline int128& int128::operator++() { + ++v_; + return *this; +} + +inline int128& int128::operator--() { + --v_; + return *this; +} + +inline int128 operator|(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) | static_cast<__int128>(rhs); +} + +inline int128 operator&(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) & static_cast<__int128>(rhs); +} + +inline int128 operator^(int128 lhs, int128 rhs) { + return static_cast<__int128>(lhs) ^ static_cast<__int128>(rhs); +} + +inline int128 operator<<(int128 lhs, int amount) { + return static_cast<__int128>(lhs) << amount; +} + +inline int128 operator>>(int128 lhs, int amount) { + return static_cast<__int128>(lhs) >> amount; +} diff --git a/absl/numeric/int128_no_intrinsic.inc b/absl/numeric/int128_no_intrinsic.inc index 046cb9b3a407..c753771ae73a 100644 --- a/absl/numeric/int128_no_intrinsic.inc +++ b/absl/numeric/int128_no_intrinsic.inc @@ -16,3 +16,293 @@ // This file contains :int128 implementation details that depend on internal // representation when ABSL_HAVE_INTRINSIC_INT128 is *not* defined. This file // is included by int128.h and relies on ABSL_INTERNAL_WCHAR_T being defined. + +constexpr uint64_t Int128Low64(int128 v) { return v.lo_; } + +constexpr int64_t Int128High64(int128 v) { return v.hi_; } + +#if defined(ABSL_IS_LITTLE_ENDIAN) + +constexpr int128::int128(int64_t high, uint64_t low) : + lo_(low), hi_(high) {} + +constexpr int128::int128(int v) + : lo_{static_cast<uint64_t>(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {} +constexpr int128::int128(long v) // NOLINT(runtime/int) + : lo_{static_cast<uint64_t>(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {} +constexpr int128::int128(long long v) // NOLINT(runtime/int) + : lo_{static_cast<uint64_t>(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {} + +constexpr int128::int128(unsigned int v) : lo_{v}, hi_{0} {} +// NOLINTNEXTLINE(runtime/int) +constexpr int128::int128(unsigned long v) : lo_{v}, hi_{0} {} +// NOLINTNEXTLINE(runtime/int) +constexpr int128::int128(unsigned long long v) : lo_{v}, hi_{0} {} + +constexpr int128::int128(uint128 v) + : lo_{Uint128Low64(v)}, hi_{static_cast<int64_t>(Uint128High64(v))} {} + +#elif defined(ABSL_IS_BIG_ENDIAN) + +constexpr int128::int128(int64_t high, uint64_t low) : + hi_{high}, lo_{low} {} + +constexpr int128::int128(int v) + : hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast<uint64_t>(v)} {} +constexpr int128::int128(long v) // NOLINT(runtime/int) + : hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast<uint64_t>(v)} {} +constexpr int128::int128(long long v) // NOLINT(runtime/int) + : hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast<uint64_t>(v)} {} + +constexpr int128::int128(unsigned int v) : hi_{0}, lo_{v} {} +// NOLINTNEXTLINE(runtime/int) +constexpr int128::int128(unsigned long v) : hi_{0}, lo_{v} {} +// NOLINTNEXTLINE(runtime/int) +constexpr int128::int128(unsigned long long v) : hi_{0}, lo_{v} {} + +constexpr int128::int128(uint128 v) + : hi_{static_cast<int64_t>(Uint128High64(v))}, lo_{Uint128Low64(v)} {} + +#else // byte order +#error "Unsupported byte order: must be little-endian or big-endian." +#endif // byte order + +constexpr int128::operator bool() const { return lo_ || hi_; } + +constexpr int128::operator char() const { + // NOLINTNEXTLINE(runtime/int) + return static_cast<char>(static_cast<long long>(*this)); +} + +constexpr int128::operator signed char() const { + // NOLINTNEXTLINE(runtime/int) + return static_cast<signed char>(static_cast<long long>(*this)); +} + +constexpr int128::operator unsigned char() const { + return static_cast<unsigned char>(lo_); +} + +constexpr int128::operator char16_t() const { + return static_cast<char16_t>(lo_); +} + +constexpr int128::operator char32_t() const { + return static_cast<char32_t>(lo_); +} + +constexpr int128::operator ABSL_INTERNAL_WCHAR_T() const { + // NOLINTNEXTLINE(runtime/int) + return static_cast<ABSL_INTERNAL_WCHAR_T>(static_cast<long long>(*this)); +} + +constexpr int128::operator short() const { // NOLINT(runtime/int) + // NOLINTNEXTLINE(runtime/int) + return static_cast<short>(static_cast<long long>(*this)); +} + +constexpr int128::operator unsigned short() const { // NOLINT(runtime/int) + return static_cast<unsigned short>(lo_); // NOLINT(runtime/int) +} + +constexpr int128::operator int() const { + // NOLINTNEXTLINE(runtime/int) + return static_cast<int>(static_cast<long long>(*this)); +} + +constexpr int128::operator unsigned int() const { + return static_cast<unsigned int>(lo_); +} + +constexpr int128::operator long() const { // NOLINT(runtime/int) + // NOLINTNEXTLINE(runtime/int) + return static_cast<long>(static_cast<long long>(*this)); +} + +constexpr int128::operator unsigned long() const { // NOLINT(runtime/int) + return static_cast<unsigned long>(lo_); // NOLINT(runtime/int) +} + +constexpr int128::operator long long() const { // NOLINT(runtime/int) + // We don't bother checking the value of hi_. If *this < 0, lo_'s high bit + // must be set in order for the value to fit into a long long. Conversely, if + // lo_'s high bit is set, *this must be < 0 for the value to fit. + return int128_internal::BitCastToSigned(lo_); +} + +constexpr int128::operator unsigned long long() const { // NOLINT(runtime/int) + return static_cast<unsigned long long>(lo_); // NOLINT(runtime/int) +} + +// Forward declaration for conversion operators to floating point types. +int128 operator-(int128 v); +bool operator!=(int128 lhs, int128 rhs); + +inline int128::operator float() const { + // We must convert the absolute value and then negate as needed, because + // floating point types are typically sign-magnitude. Otherwise, the + // difference between the high and low 64 bits when interpreted as two's + // complement overwhelms the precision of the mantissa. + // + // Also check to make sure we don't negate Int128Min() + return hi_ < 0 && *this != Int128Min() + ? -static_cast<float>(-*this) + : static_cast<float>(lo_) + + std::ldexp(static_cast<float>(hi_), 64); +} + +inline int128::operator double() const { + // See comment in int128::operator float() above. + return hi_ < 0 && *this != Int128Min() + ? -static_cast<double>(-*this) + : static_cast<double>(lo_) + + std::ldexp(static_cast<double>(hi_), 64); +} + +inline int128::operator long double() const { + // See comment in int128::operator float() above. + return hi_ < 0 && *this != Int128Min() + ? -static_cast<long double>(-*this) + : static_cast<long double>(lo_) + + std::ldexp(static_cast<long double>(hi_), 64); +} + +// Comparison operators. + +inline bool operator==(int128 lhs, int128 rhs) { + return (Int128Low64(lhs) == Int128Low64(rhs) && + Int128High64(lhs) == Int128High64(rhs)); +} + +inline bool operator!=(int128 lhs, int128 rhs) { + return !(lhs == rhs); +} + +inline bool operator<(int128 lhs, int128 rhs) { + return (Int128High64(lhs) == Int128High64(rhs)) + ? (Int128Low64(lhs) < Int128Low64(rhs)) + : (Int128High64(lhs) < Int128High64(rhs)); +} + +inline bool operator>(int128 lhs, int128 rhs) { + return (Int128High64(lhs) == Int128High64(rhs)) + ? (Int128Low64(lhs) > Int128Low64(rhs)) + : (Int128High64(lhs) > Int128High64(rhs)); +} + +inline bool operator<=(int128 lhs, int128 rhs) { + return !(lhs > rhs); +} + +inline bool operator>=(int128 lhs, int128 rhs) { + return !(lhs < rhs); +} + +// Unary operators. + +inline int128 operator-(int128 v) { + int64_t hi = ~Int128High64(v); + uint64_t lo = ~Int128Low64(v) + 1; + if (lo == 0) ++hi; // carry + return MakeInt128(hi, lo); +} + +inline bool operator!(int128 v) { + return !Int128Low64(v) && !Int128High64(v); +} + +inline int128 operator~(int128 val) { + return MakeInt128(~Int128High64(val), ~Int128Low64(val)); +} + +// Arithmetic operators. + +inline int128 operator+(int128 lhs, int128 rhs) { + int128 result = MakeInt128(Int128High64(lhs) + Int128High64(rhs), + Int128Low64(lhs) + Int128Low64(rhs)); + if (Int128Low64(result) < Int128Low64(lhs)) { // check for carry + return MakeInt128(Int128High64(result) + 1, Int128Low64(result)); + } + return result; +} + +inline int128 operator-(int128 lhs, int128 rhs) { + int128 result = MakeInt128(Int128High64(lhs) - Int128High64(rhs), + Int128Low64(lhs) - Int128Low64(rhs)); + if (Int128Low64(lhs) < Int128Low64(rhs)) { // check for carry + return MakeInt128(Int128High64(result) - 1, Int128Low64(result)); + } + return result; +} + +inline int128 operator*(int128 lhs, int128 rhs) { + uint128 result = uint128(lhs) * rhs; + return MakeInt128(int128_internal::BitCastToSigned(Uint128High64(result)), + Uint128Low64(result)); +} + +inline int128 int128::operator++(int) { + int128 tmp(*this); + *this += 1; + return tmp; +} + +inline int128 int128::operator--(int) { + int128 tmp(*this); + *this -= 1; + return tmp; +} + +inline int128& int128::operator++() { + *this += 1; + return *this; +} + +inline int128& int128::operator--() { + *this -= 1; + return *this; +} + +inline int128 operator|(int128 lhs, int128 rhs) { + return MakeInt128(Int128High64(lhs) | Int128High64(rhs), + Int128Low64(lhs) | Int128Low64(rhs)); +} + +inline int128 operator&(int128 lhs, int128 rhs) { + return MakeInt128(Int128High64(lhs) & Int128High64(rhs), + Int128Low64(lhs) & Int128Low64(rhs)); +} + +inline int128 operator^(int128 lhs, int128 rhs) { + return MakeInt128(Int128High64(lhs) ^ Int128High64(rhs), + Int128Low64(lhs) ^ Int128Low64(rhs)); +} + +inline int128 operator<<(int128 lhs, int amount) { + // uint64_t shifts of >= 64 are undefined, so we need some special-casing. + if (amount < 64) { + if (amount != 0) { + return MakeInt128( + (Int128High64(lhs) << amount) | + static_cast<int64_t>(Int128Low64(lhs) >> (64 - amount)), + Int128Low64(lhs) << amount); + } + return lhs; + } + return MakeInt128(static_cast<int64_t>(Int128Low64(lhs) << (amount - 64)), 0); +} + +inline int128 operator>>(int128 lhs, int amount) { + // uint64_t shifts of >= 64 are undefined, so we need some special-casing. + if (amount < 64) { + if (amount != 0) { + return MakeInt128( + Int128High64(lhs) >> amount, + (Int128Low64(lhs) >> amount) | + (static_cast<uint64_t>(Int128High64(lhs)) << (64 - amount))); + } + return lhs; + } + return MakeInt128(0, + static_cast<uint64_t>(Int128High64(lhs) >> (amount - 64))); +} diff --git a/absl/numeric/int128_stream_test.cc b/absl/numeric/int128_stream_test.cc index 3cfa9dc1835a..479ad66cf4d5 100644 --- a/absl/numeric/int128_stream_test.cc +++ b/absl/numeric/int128_stream_test.cc @@ -147,6 +147,735 @@ TEST(Uint128, OStreamFormatTest) { } } +struct Int128TestCase { + absl::int128 value; + std::ios_base::fmtflags flags; + std::streamsize width; + const char* expected; +}; + +void CheckInt128Case(const Int128TestCase& test_case) { + std::ostringstream os; + os.flags(test_case.flags); + os.width(test_case.width); + os.fill(kFill); + os << test_case.value; + SCOPED_TRACE(StreamFormatToString(test_case.flags, test_case.width)); + EXPECT_EQ(test_case.expected, os.str()); +} + +TEST(Int128, OStreamValueTest) { + CheckInt128Case({1, kDec, /*width = */ 0, "1"}); + CheckInt128Case({1, kOct, /*width = */ 0, "1"}); + CheckInt128Case({1, kHex, /*width = */ 0, "1"}); + CheckInt128Case({9, kDec, /*width = */ 0, "9"}); + CheckInt128Case({9, kOct, /*width = */ 0, "11"}); + CheckInt128Case({9, kHex, /*width = */ 0, "9"}); + CheckInt128Case({12345, kDec, /*width = */ 0, "12345"}); + CheckInt128Case({12345, kOct, /*width = */ 0, "30071"}); + CheckInt128Case({12345, kHex, /*width = */ 0, "3039"}); + CheckInt128Case( + {0x8000000000000000, kDec, /*width = */ 0, "9223372036854775808"}); + CheckInt128Case( + {0x8000000000000000, kOct, /*width = */ 0, "1000000000000000000000"}); + CheckInt128Case( + {0x8000000000000000, kHex, /*width = */ 0, "8000000000000000"}); + CheckInt128Case({std::numeric_limits<uint64_t>::max(), kDec, + /*width = */ 0, "18446744073709551615"}); + CheckInt128Case({std::numeric_limits<uint64_t>::max(), kOct, + /*width = */ 0, "1777777777777777777777"}); + CheckInt128Case({std::numeric_limits<uint64_t>::max(), kHex, + /*width = */ 0, "ffffffffffffffff"}); + CheckInt128Case( + {absl::MakeInt128(1, 0), kDec, /*width = */ 0, "18446744073709551616"}); + CheckInt128Case( + {absl::MakeInt128(1, 0), kOct, /*width = */ 0, "2000000000000000000000"}); + CheckInt128Case( + {absl::MakeInt128(1, 0), kHex, /*width = */ 0, "10000000000000000"}); + CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::max(), + std::numeric_limits<uint64_t>::max()), + std::ios::dec, /*width = */ 0, + "170141183460469231731687303715884105727"}); + CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::max(), + std::numeric_limits<uint64_t>::max()), + std::ios::oct, /*width = */ 0, + "1777777777777777777777777777777777777777777"}); + CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::max(), + std::numeric_limits<uint64_t>::max()), + std::ios::hex, /*width = */ 0, + "7fffffffffffffffffffffffffffffff"}); + CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::min(), 0), + std::ios::dec, /*width = */ 0, + "-170141183460469231731687303715884105728"}); + CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::min(), 0), + std::ios::oct, /*width = */ 0, + "2000000000000000000000000000000000000000000"}); + CheckInt128Case({absl::MakeInt128(std::numeric_limits<int64_t>::min(), 0), + std::ios::hex, /*width = */ 0, + "80000000000000000000000000000000"}); + CheckInt128Case({-1, std::ios::dec, /*width = */ 0, "-1"}); + CheckInt128Case({-1, std::ios::oct, /*width = */ 0, + "3777777777777777777777777777777777777777777"}); + CheckInt128Case( + {-1, std::ios::hex, /*width = */ 0, "ffffffffffffffffffffffffffffffff"}); + CheckInt128Case({-12345, std::ios::dec, /*width = */ 0, "-12345"}); + CheckInt128Case({-12345, std::ios::oct, /*width = */ 0, + "3777777777777777777777777777777777777747707"}); + CheckInt128Case({-12345, std::ios::hex, /*width = */ 0, + "ffffffffffffffffffffffffffffcfc7"}); +} + +std::vector<Int128TestCase> GetInt128FormatCases(); +TEST(Int128, OStreamFormatTest) { + for (const Int128TestCase& test_case : GetInt128FormatCases()) { + CheckInt128Case(test_case); + } +} + +std::vector<Int128TestCase> GetInt128FormatCases() { + return { + {0, std::ios_base::fmtflags(), /*width = */ 0, "0"}, + {0, std::ios_base::fmtflags(), /*width = */ 6, "_____0"}, + {0, kPos, /*width = */ 0, "+0"}, + {0, kPos, /*width = */ 6, "____+0"}, + {0, kBase, /*width = */ 0, "0"}, + {0, kBase, /*width = */ 6, "_____0"}, + {0, kBase | kPos, /*width = */ 0, "+0"}, + {0, kBase | kPos, /*width = */ 6, "____+0"}, + {0, kUpper, /*width = */ 0, "0"}, + {0, kUpper, /*width = */ 6, "_____0"}, + {0, kUpper | kPos, /*width = */ 0, "+0"}, + {0, kUpper | kPos, /*width = */ 6, "____+0"}, + {0, kUpper | kBase, /*width = */ 0, "0"}, + {0, kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kUpper | kBase | kPos, /*width = */ 0, "+0"}, + {0, kUpper | kBase | kPos, /*width = */ 6, "____+0"}, + {0, kLeft, /*width = */ 0, "0"}, + {0, kLeft, /*width = */ 6, "0_____"}, + {0, kLeft | kPos, /*width = */ 0, "+0"}, + {0, kLeft | kPos, /*width = */ 6, "+0____"}, + {0, kLeft | kBase, /*width = */ 0, "0"}, + {0, kLeft | kBase, /*width = */ 6, "0_____"}, + {0, kLeft | kBase | kPos, /*width = */ 0, "+0"}, + {0, kLeft | kBase | kPos, /*width = */ 6, "+0____"}, + {0, kLeft | kUpper, /*width = */ 0, "0"}, + {0, kLeft | kUpper, /*width = */ 6, "0_____"}, + {0, kLeft | kUpper | kPos, /*width = */ 0, "+0"}, + {0, kLeft | kUpper | kPos, /*width = */ 6, "+0____"}, + {0, kLeft | kUpper | kBase, /*width = */ 0, "0"}, + {0, kLeft | kUpper | kBase, /*width = */ 6, "0_____"}, + {0, kLeft | kUpper | kBase | kPos, /*width = */ 0, "+0"}, + {0, kLeft | kUpper | kBase | kPos, /*width = */ 6, "+0____"}, + {0, kInt, /*width = */ 0, "0"}, + {0, kInt, /*width = */ 6, "_____0"}, + {0, kInt | kPos, /*width = */ 0, "+0"}, + {0, kInt | kPos, /*width = */ 6, "+____0"}, + {0, kInt | kBase, /*width = */ 0, "0"}, + {0, kInt | kBase, /*width = */ 6, "_____0"}, + {0, kInt | kBase | kPos, /*width = */ 0, "+0"}, + {0, kInt | kBase | kPos, /*width = */ 6, "+____0"}, + {0, kInt | kUpper, /*width = */ 0, "0"}, + {0, kInt | kUpper, /*width = */ 6, "_____0"}, + {0, kInt | kUpper | kPos, /*width = */ 0, "+0"}, + {0, kInt | kUpper | kPos, /*width = */ 6, "+____0"}, + {0, kInt | kUpper | kBase, /*width = */ 0, "0"}, + {0, kInt | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kInt | kUpper | kBase | kPos, /*width = */ 0, "+0"}, + {0, kInt | kUpper | kBase | kPos, /*width = */ 6, "+____0"}, + {0, kRight, /*width = */ 0, "0"}, + {0, kRight, /*width = */ 6, "_____0"}, + {0, kRight | kPos, /*width = */ 0, "+0"}, + {0, kRight | kPos, /*width = */ 6, "____+0"}, + {0, kRight | kBase, /*width = */ 0, "0"}, + {0, kRight | kBase, /*width = */ 6, "_____0"}, + {0, kRight | kBase | kPos, /*width = */ 0, "+0"}, + {0, kRight | kBase | kPos, /*width = */ 6, "____+0"}, + {0, kRight | kUpper, /*width = */ 0, "0"}, + {0, kRight | kUpper, /*width = */ 6, "_____0"}, + {0, kRight | kUpper | kPos, /*width = */ 0, "+0"}, + {0, kRight | kUpper | kPos, /*width = */ 6, "____+0"}, + {0, kRight | kUpper | kBase, /*width = */ 0, "0"}, + {0, kRight | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kRight | kUpper | kBase | kPos, /*width = */ 0, "+0"}, + {0, kRight | kUpper | kBase | kPos, /*width = */ 6, "____+0"}, + {0, kDec, /*width = */ 0, "0"}, + {0, kDec, /*width = */ 6, "_____0"}, + {0, kDec | kPos, /*width = */ 0, "+0"}, + {0, kDec | kPos, /*width = */ 6, "____+0"}, + {0, kDec | kBase, /*width = */ 0, "0"}, + {0, kDec | kBase, /*width = */ 6, "_____0"}, + {0, kDec | kBase | kPos, /*width = */ 0, "+0"}, + {0, kDec | kBase | kPos, /*width = */ 6, "____+0"}, + {0, kDec | kUpper, /*width = */ 0, "0"}, + {0, kDec | kUpper, /*width = */ 6, "_____0"}, + {0, kDec | kUpper | kPos, /*width = */ 0, "+0"}, + {0, kDec | kUpper | kPos, /*width = */ 6, "____+0"}, + {0, kDec | kUpper | kBase, /*width = */ 0, "0"}, + {0, kDec | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kDec | kUpper | kBase | kPos, /*width = */ 0, "+0"}, + {0, kDec | kUpper | kBase | kPos, /*width = */ 6, "____+0"}, + {0, kDec | kLeft, /*width = */ 0, "0"}, + {0, kDec | kLeft, /*width = */ 6, "0_____"}, + {0, kDec | kLeft | kPos, /*width = */ 0, "+0"}, + {0, kDec | kLeft | kPos, /*width = */ 6, "+0____"}, + {0, kDec | kLeft | kBase, /*width = */ 0, "0"}, + {0, kDec | kLeft | kBase, /*width = */ 6, "0_____"}, + {0, kDec | kLeft | kBase | kPos, /*width = */ 0, "+0"}, + {0, kDec | kLeft | kBase | kPos, /*width = */ 6, "+0____"}, + {0, kDec | kLeft | kUpper, /*width = */ 0, "0"}, + {0, kDec | kLeft | kUpper, /*width = */ 6, "0_____"}, + {0, kDec | kLeft | kUpper | kPos, /*width = */ 0, "+0"}, + {0, kDec | kLeft | kUpper | kPos, /*width = */ 6, "+0____"}, + {0, kDec | kLeft | kUpper | kBase, /*width = */ 0, "0"}, + {0, kDec | kLeft | kUpper | kBase, /*width = */ 6, "0_____"}, + {0, kDec | kLeft | kUpper | kBase | kPos, /*width = */ 0, "+0"}, + {0, kDec | kLeft | kUpper | kBase | kPos, /*width = */ 6, "+0____"}, + {0, kDec | kInt, /*width = */ 0, "0"}, + {0, kDec | kInt, /*width = */ 6, "_____0"}, + {0, kDec | kInt | kPos, /*width = */ 0, "+0"}, + {0, kDec | kInt | kPos, /*width = */ 6, "+____0"}, + {0, kDec | kInt | kBase, /*width = */ 0, "0"}, + {0, kDec | kInt | kBase, /*width = */ 6, "_____0"}, + {0, kDec | kInt | kBase | kPos, /*width = */ 0, "+0"}, + {0, kDec | kInt | kBase | kPos, /*width = */ 6, "+____0"}, + {0, kDec | kInt | kUpper, /*width = */ 0, "0"}, + {0, kDec | kInt | kUpper, /*width = */ 6, "_____0"}, + {0, kDec | kInt | kUpper | kPos, /*width = */ 0, "+0"}, + {0, kDec | kInt | kUpper | kPos, /*width = */ 6, "+____0"}, + {0, kDec | kInt | kUpper | kBase, /*width = */ 0, "0"}, + {0, kDec | kInt | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kDec | kInt | kUpper | kBase | kPos, /*width = */ 0, "+0"}, + {0, kDec | kInt | kUpper | kBase | kPos, /*width = */ 6, "+____0"}, + {0, kDec | kRight, /*width = */ 0, "0"}, + {0, kDec | kRight, /*width = */ 6, "_____0"}, + {0, kDec | kRight | kPos, /*width = */ 0, "+0"}, + {0, kDec | kRight | kPos, /*width = */ 6, "____+0"}, + {0, kDec | kRight | kBase, /*width = */ 0, "0"}, + {0, kDec | kRight | kBase, /*width = */ 6, "_____0"}, + {0, kDec | kRight | kBase | kPos, /*width = */ 0, "+0"}, + {0, kDec | kRight | kBase | kPos, /*width = */ 6, "____+0"}, + {0, kDec | kRight | kUpper, /*width = */ 0, "0"}, + {0, kDec | kRight | kUpper, /*width = */ 6, "_____0"}, + {0, kDec | kRight | kUpper | kPos, /*width = */ 0, "+0"}, + {0, kDec | kRight | kUpper | kPos, /*width = */ 6, "____+0"}, + {0, kDec | kRight | kUpper | kBase, /*width = */ 0, "0"}, + {0, kDec | kRight | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kDec | kRight | kUpper | kBase | kPos, /*width = */ 0, "+0"}, + {0, kDec | kRight | kUpper | kBase | kPos, /*width = */ 6, "____+0"}, + {0, kOct, /*width = */ 0, "0"}, + {0, kOct, /*width = */ 6, "_____0"}, + {0, kOct | kPos, /*width = */ 0, "0"}, + {0, kOct | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kBase, /*width = */ 0, "0"}, + {0, kOct | kBase, /*width = */ 6, "_____0"}, + {0, kOct | kBase | kPos, /*width = */ 0, "0"}, + {0, kOct | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kUpper, /*width = */ 0, "0"}, + {0, kOct | kUpper, /*width = */ 6, "_____0"}, + {0, kOct | kUpper | kPos, /*width = */ 0, "0"}, + {0, kOct | kUpper | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kUpper | kBase, /*width = */ 0, "0"}, + {0, kOct | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kOct | kUpper | kBase | kPos, /*width = */ 0, "0"}, + {0, kOct | kUpper | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kLeft, /*width = */ 0, "0"}, + {0, kOct | kLeft, /*width = */ 6, "0_____"}, + {0, kOct | kLeft | kPos, /*width = */ 0, "0"}, + {0, kOct | kLeft | kPos, /*width = */ 6, "0_____"}, + {0, kOct | kLeft | kBase, /*width = */ 0, "0"}, + {0, kOct | kLeft | kBase, /*width = */ 6, "0_____"}, + {0, kOct | kLeft | kBase | kPos, /*width = */ 0, "0"}, + {0, kOct | kLeft | kBase | kPos, /*width = */ 6, "0_____"}, + {0, kOct | kLeft | kUpper, /*width = */ 0, "0"}, + {0, kOct | kLeft | kUpper, /*width = */ 6, "0_____"}, + {0, kOct | kLeft | kUpper | kPos, /*width = */ 0, "0"}, + {0, kOct | kLeft | kUpper | kPos, /*width = */ 6, "0_____"}, + {0, kOct | kLeft | kUpper | kBase, /*width = */ 0, "0"}, + {0, kOct | kLeft | kUpper | kBase, /*width = */ 6, "0_____"}, + {0, kOct | kLeft | kUpper | kBase | kPos, /*width = */ 0, "0"}, + {0, kOct | kLeft | kUpper | kBase | kPos, /*width = */ 6, "0_____"}, + {0, kOct | kInt, /*width = */ 0, "0"}, + {0, kOct | kInt, /*width = */ 6, "_____0"}, + {0, kOct | kInt | kPos, /*width = */ 0, "0"}, + {0, kOct | kInt | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kInt | kBase, /*width = */ 0, "0"}, + {0, kOct | kInt | kBase, /*width = */ 6, "_____0"}, + {0, kOct | kInt | kBase | kPos, /*width = */ 0, "0"}, + {0, kOct | kInt | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kInt | kUpper, /*width = */ 0, "0"}, + {0, kOct | kInt | kUpper, /*width = */ 6, "_____0"}, + {0, kOct | kInt | kUpper | kPos, /*width = */ 0, "0"}, + {0, kOct | kInt | kUpper | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kInt | kUpper | kBase, /*width = */ 0, "0"}, + {0, kOct | kInt | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kOct | kInt | kUpper | kBase | kPos, /*width = */ 0, "0"}, + {0, kOct | kInt | kUpper | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kRight, /*width = */ 0, "0"}, + {0, kOct | kRight, /*width = */ 6, "_____0"}, + {0, kOct | kRight | kPos, /*width = */ 0, "0"}, + {0, kOct | kRight | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kRight | kBase, /*width = */ 0, "0"}, + {0, kOct | kRight | kBase, /*width = */ 6, "_____0"}, + {0, kOct | kRight | kBase | kPos, /*width = */ 0, "0"}, + {0, kOct | kRight | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kRight | kUpper, /*width = */ 0, "0"}, + {0, kOct | kRight | kUpper, /*width = */ 6, "_____0"}, + {0, kOct | kRight | kUpper | kPos, /*width = */ 0, "0"}, + {0, kOct | kRight | kUpper | kPos, /*width = */ 6, "_____0"}, + {0, kOct | kRight | kUpper | kBase, /*width = */ 0, "0"}, + {0, kOct | kRight | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kOct | kRight | kUpper | kBase | kPos, /*width = */ 0, "0"}, + {0, kOct | kRight | kUpper | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kHex, /*width = */ 0, "0"}, + {0, kHex, /*width = */ 6, "_____0"}, + {0, kHex | kPos, /*width = */ 0, "0"}, + {0, kHex | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kBase, /*width = */ 0, "0"}, + {0, kHex | kBase, /*width = */ 6, "_____0"}, + {0, kHex | kBase | kPos, /*width = */ 0, "0"}, + {0, kHex | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kUpper, /*width = */ 0, "0"}, + {0, kHex | kUpper, /*width = */ 6, "_____0"}, + {0, kHex | kUpper | kPos, /*width = */ 0, "0"}, + {0, kHex | kUpper | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kUpper | kBase, /*width = */ 0, "0"}, + {0, kHex | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kHex | kUpper | kBase | kPos, /*width = */ 0, "0"}, + {0, kHex | kUpper | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kLeft, /*width = */ 0, "0"}, + {0, kHex | kLeft, /*width = */ 6, "0_____"}, + {0, kHex | kLeft | kPos, /*width = */ 0, "0"}, + {0, kHex | kLeft | kPos, /*width = */ 6, "0_____"}, + {0, kHex | kLeft | kBase, /*width = */ 0, "0"}, + {0, kHex | kLeft | kBase, /*width = */ 6, "0_____"}, + {0, kHex | kLeft | kBase | kPos, /*width = */ 0, "0"}, + {0, kHex | kLeft | kBase | kPos, /*width = */ 6, "0_____"}, + {0, kHex | kLeft | kUpper, /*width = */ 0, "0"}, + {0, kHex | kLeft | kUpper, /*width = */ 6, "0_____"}, + {0, kHex | kLeft | kUpper | kPos, /*width = */ 0, "0"}, + {0, kHex | kLeft | kUpper | kPos, /*width = */ 6, "0_____"}, + {0, kHex | kLeft | kUpper | kBase, /*width = */ 0, "0"}, + {0, kHex | kLeft | kUpper | kBase, /*width = */ 6, "0_____"}, + {0, kHex | kLeft | kUpper | kBase | kPos, /*width = */ 0, "0"}, + {0, kHex | kLeft | kUpper | kBase | kPos, /*width = */ 6, "0_____"}, + {0, kHex | kInt, /*width = */ 0, "0"}, + {0, kHex | kInt, /*width = */ 6, "_____0"}, + {0, kHex | kInt | kPos, /*width = */ 0, "0"}, + {0, kHex | kInt | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kInt | kBase, /*width = */ 0, "0"}, + {0, kHex | kInt | kBase, /*width = */ 6, "_____0"}, + {0, kHex | kInt | kBase | kPos, /*width = */ 0, "0"}, + {0, kHex | kInt | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kInt | kUpper, /*width = */ 0, "0"}, + {0, kHex | kInt | kUpper, /*width = */ 6, "_____0"}, + {0, kHex | kInt | kUpper | kPos, /*width = */ 0, "0"}, + {0, kHex | kInt | kUpper | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kInt | kUpper | kBase, /*width = */ 0, "0"}, + {0, kHex | kInt | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kHex | kInt | kUpper | kBase | kPos, /*width = */ 0, "0"}, + {0, kHex | kInt | kUpper | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kRight, /*width = */ 0, "0"}, + {0, kHex | kRight, /*width = */ 6, "_____0"}, + {0, kHex | kRight | kPos, /*width = */ 0, "0"}, + {0, kHex | kRight | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kRight | kBase, /*width = */ 0, "0"}, + {0, kHex | kRight | kBase, /*width = */ 6, "_____0"}, + {0, kHex | kRight | kBase | kPos, /*width = */ 0, "0"}, + {0, kHex | kRight | kBase | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kRight | kUpper, /*width = */ 0, "0"}, + {0, kHex | kRight | kUpper, /*width = */ 6, "_____0"}, + {0, kHex | kRight | kUpper | kPos, /*width = */ 0, "0"}, + {0, kHex | kRight | kUpper | kPos, /*width = */ 6, "_____0"}, + {0, kHex | kRight | kUpper | kBase, /*width = */ 0, "0"}, + {0, kHex | kRight | kUpper | kBase, /*width = */ 6, "_____0"}, + {0, kHex | kRight | kUpper | kBase | kPos, /*width = */ 0, "0"}, + {0, kHex | kRight | kUpper | kBase | kPos, /*width = */ 6, "_____0"}, + {42, std::ios_base::fmtflags(), /*width = */ 0, "42"}, + {42, std::ios_base::fmtflags(), /*width = */ 6, "____42"}, + {42, kPos, /*width = */ 0, "+42"}, + {42, kPos, /*width = */ 6, "___+42"}, + {42, kBase, /*width = */ 0, "42"}, + {42, kBase, /*width = */ 6, "____42"}, + {42, kBase | kPos, /*width = */ 0, "+42"}, + {42, kBase | kPos, /*width = */ 6, "___+42"}, + {42, kUpper, /*width = */ 0, "42"}, + {42, kUpper, /*width = */ 6, "____42"}, + {42, kUpper | kPos, /*width = */ 0, "+42"}, + {42, kUpper | kPos, /*width = */ 6, "___+42"}, + {42, kUpper | kBase, /*width = */ 0, "42"}, + {42, kUpper | kBase, /*width = */ 6, "____42"}, + {42, kUpper | kBase | kPos, /*width = */ 0, "+42"}, + {42, kUpper | kBase | kPos, /*width = */ 6, "___+42"}, + {42, kLeft, /*width = */ 0, "42"}, + {42, kLeft, /*width = */ 6, "42____"}, + {42, kLeft | kPos, /*width = */ 0, "+42"}, + {42, kLeft | kPos, /*width = */ 6, "+42___"}, + {42, kLeft | kBase, /*width = */ 0, "42"}, + {42, kLeft | kBase, /*width = */ 6, "42____"}, + {42, kLeft | kBase | kPos, /*width = */ 0, "+42"}, + {42, kLeft | kBase | kPos, /*width = */ 6, "+42___"}, + {42, kLeft | kUpper, /*width = */ 0, "42"}, + {42, kLeft | kUpper, /*width = */ 6, "42____"}, + {42, kLeft | kUpper | kPos, /*width = */ 0, "+42"}, + {42, kLeft | kUpper | kPos, /*width = */ 6, "+42___"}, + {42, kLeft | kUpper | kBase, /*width = */ 0, "42"}, + {42, kLeft | kUpper | kBase, /*width = */ 6, "42____"}, + {42, kLeft | kUpper | kBase | kPos, /*width = */ 0, "+42"}, + {42, kLeft | kUpper | kBase | kPos, /*width = */ 6, "+42___"}, + {42, kInt, /*width = */ 0, "42"}, + {42, kInt, /*width = */ 6, "____42"}, + {42, kInt | kPos, /*width = */ 0, "+42"}, + {42, kInt | kPos, /*width = */ 6, "+___42"}, + {42, kInt | kBase, /*width = */ 0, "42"}, + {42, kInt | kBase, /*width = */ 6, "____42"}, + {42, kInt | kBase | kPos, /*width = */ 0, "+42"}, + {42, kInt | kBase | kPos, /*width = */ 6, "+___42"}, + {42, kInt | kUpper, /*width = */ 0, "42"}, + {42, kInt | kUpper, /*width = */ 6, "____42"}, + {42, kInt | kUpper | kPos, /*width = */ 0, "+42"}, + {42, kInt | kUpper | kPos, /*width = */ 6, "+___42"}, + {42, kInt | kUpper | kBase, /*width = */ 0, "42"}, + {42, kInt | kUpper | kBase, /*width = */ 6, "____42"}, + {42, kInt | kUpper | kBase | kPos, /*width = */ 0, "+42"}, + {42, kInt | kUpper | kBase | kPos, /*width = */ 6, "+___42"}, + {42, kRight, /*width = */ 0, "42"}, + {42, kRight, /*width = */ 6, "____42"}, + {42, kRight | kPos, /*width = */ 0, "+42"}, + {42, kRight | kPos, /*width = */ 6, "___+42"}, + {42, kRight | kBase, /*width = */ 0, "42"}, + {42, kRight | kBase, /*width = */ 6, "____42"}, + {42, kRight | kBase | kPos, /*width = */ 0, "+42"}, + {42, kRight | kBase | kPos, /*width = */ 6, "___+42"}, + {42, kRight | kUpper, /*width = */ 0, "42"}, + {42, kRight | kUpper, /*width = */ 6, "____42"}, + {42, kRight | kUpper | kPos, /*width = */ 0, "+42"}, + {42, kRight | kUpper | kPos, /*width = */ 6, "___+42"}, + {42, kRight | kUpper | kBase, /*width = */ 0, "42"}, + {42, kRight | kUpper | kBase, /*width = */ 6, "____42"}, + {42, kRight | kUpper | kBase | kPos, /*width = */ 0, "+42"}, + {42, kRight | kUpper | kBase | kPos, /*width = */ 6, "___+42"}, + {42, kDec, /*width = */ 0, "42"}, + {42, kDec, /*width = */ 6, "____42"}, + {42, kDec | kPos, /*width = */ 0, "+42"}, + {42, kDec | kPos, /*width = */ 6, "___+42"}, + {42, kDec | kBase, /*width = */ 0, "42"}, + {42, kDec | kBase, /*width = */ 6, "____42"}, + {42, kDec | kBase | kPos, /*width = */ 0, "+42"}, + {42, kDec | kBase | kPos, /*width = */ 6, "___+42"}, + {42, kDec | kUpper, /*width = */ 0, "42"}, + {42, kDec | kUpper, /*width = */ 6, "____42"}, + {42, kDec | kUpper | kPos, /*width = */ 0, "+42"}, + {42, kDec | kUpper | kPos, /*width = */ 6, "___+42"}, + {42, kDec | kUpper | kBase, /*width = */ 0, "42"}, + {42, kDec | kUpper | kBase, /*width = */ 6, "____42"}, + {42, kDec | kUpper | kBase | kPos, /*width = */ 0, "+42"}, + {42, kDec | kUpper | kBase | kPos, /*width = */ 6, "___+42"}, + {42, kDec | kLeft, /*width = */ 0, "42"}, + {42, kDec | kLeft, /*width = */ 6, "42____"}, + {42, kDec | kLeft | kPos, /*width = */ 0, "+42"}, + {42, kDec | kLeft | kPos, /*width = */ 6, "+42___"}, + {42, kDec | kLeft | kBase, /*width = */ 0, "42"}, + {42, kDec | kLeft | kBase, /*width = */ 6, "42____"}, + {42, kDec | kLeft | kBase | kPos, /*width = */ 0, "+42"}, + {42, kDec | kLeft | kBase | kPos, /*width = */ 6, "+42___"}, + {42, kDec | kLeft | kUpper, /*width = */ 0, "42"}, + {42, kDec | kLeft | kUpper, /*width = */ 6, "42____"}, + {42, kDec | kLeft | kUpper | kPos, /*width = */ 0, "+42"}, + {42, kDec | kLeft | kUpper | kPos, /*width = */ 6, "+42___"}, + {42, kDec | kLeft | kUpper | kBase, /*width = */ 0, "42"}, + {42, kDec | kLeft | kUpper | kBase, /*width = */ 6, "42____"}, + {42, kDec | kLeft | kUpper | kBase | kPos, /*width = */ 0, "+42"}, + {42, kDec | kLeft | kUpper | kBase | kPos, /*width = */ 6, "+42___"}, + {42, kDec | kInt, /*width = */ 0, "42"}, + {42, kDec | kInt, /*width = */ 6, "____42"}, + {42, kDec | kInt | kPos, /*width = */ 0, "+42"}, + {42, kDec | kInt | kPos, /*width = */ 6, "+___42"}, + {42, kDec | kInt | kBase, /*width = */ 0, "42"}, + {42, kDec | kInt | kBase, /*width = */ 6, "____42"}, + {42, kDec | kInt | kBase | kPos, /*width = */ 0, "+42"}, + {42, kDec | kInt | kBase | kPos, /*width = */ 6, "+___42"}, + {42, kDec | kInt | kUpper, /*width = */ 0, "42"}, + {42, kDec | kInt | kUpper, /*width = */ 6, "____42"}, + {42, kDec | kInt | kUpper | kPos, /*width = */ 0, "+42"}, + {42, kDec | kInt | kUpper | kPos, /*width = */ 6, "+___42"}, + {42, kDec | kInt | kUpper | kBase, /*width = */ 0, "42"}, + {42, kDec | kInt | kUpper | kBase, /*width = */ 6, "____42"}, + {42, kDec | kInt | kUpper | kBase | kPos, /*width = */ 0, "+42"}, + {42, kDec | kInt | kUpper | kBase | kPos, /*width = */ 6, "+___42"}, + {42, kDec | kRight, /*width = */ 0, "42"}, + {42, kDec | kRight, /*width = */ 6, "____42"}, + {42, kDec | kRight | kPos, /*width = */ 0, "+42"}, + {42, kDec | kRight | kPos, /*width = */ 6, "___+42"}, + {42, kDec | kRight | kBase, /*width = */ 0, "42"}, + {42, kDec | kRight | kBase, /*width = */ 6, "____42"}, + {42, kDec | kRight | kBase | kPos, /*width = */ 0, "+42"}, + {42, kDec | kRight | kBase | kPos, /*width = */ 6, "___+42"}, + {42, kDec | kRight | kUpper, /*width = */ 0, "42"}, + {42, kDec | kRight | kUpper, /*width = */ 6, "____42"}, + {42, kDec | kRight | kUpper | kPos, /*width = */ 0, "+42"}, + {42, kDec | kRight | kUpper | kPos, /*width = */ 6, "___+42"}, + {42, kDec | kRight | kUpper | kBase, /*width = */ 0, "42"}, + {42, kDec | kRight | kUpper | kBase, /*width = */ 6, "____42"}, + {42, kDec | kRight | kUpper | kBase | kPos, /*width = */ 0, "+42"}, + {42, kDec | kRight | kUpper | kBase | kPos, /*width = */ 6, "___+42"}, + {42, kOct, /*width = */ 0, "52"}, + {42, kOct, /*width = */ 6, "____52"}, + {42, kOct | kPos, /*width = */ 0, "52"}, + {42, kOct | kPos, /*width = */ 6, "____52"}, + {42, kOct | kBase, /*width = */ 0, "052"}, + {42, kOct | kBase, /*width = */ 6, "___052"}, + {42, kOct | kBase | kPos, /*width = */ 0, "052"}, + {42, kOct | kBase | kPos, /*width = */ 6, "___052"}, + {42, kOct | kUpper, /*width = */ 0, "52"}, + {42, kOct | kUpper, /*width = */ 6, "____52"}, + {42, kOct | kUpper | kPos, /*width = */ 0, "52"}, + {42, kOct | kUpper | kPos, /*width = */ 6, "____52"}, + {42, kOct | kUpper | kBase, /*width = */ 0, "052"}, + {42, kOct | kUpper | kBase, /*width = */ 6, "___052"}, + {42, kOct | kUpper | kBase | kPos, /*width = */ 0, "052"}, + {42, kOct | kUpper | kBase | kPos, /*width = */ 6, "___052"}, + {42, kOct | kLeft, /*width = */ 0, "52"}, + {42, kOct | kLeft, /*width = */ 6, "52____"}, + {42, kOct | kLeft | kPos, /*width = */ 0, "52"}, + {42, kOct | kLeft | kPos, /*width = */ 6, "52____"}, + {42, kOct | kLeft | kBase, /*width = */ 0, "052"}, + {42, kOct | kLeft | kBase, /*width = */ 6, "052___"}, + {42, kOct | kLeft | kBase | kPos, /*width = */ 0, "052"}, + {42, kOct | kLeft | kBase | kPos, /*width = */ 6, "052___"}, + {42, kOct | kLeft | kUpper, /*width = */ 0, "52"}, + {42, kOct | kLeft | kUpper, /*width = */ 6, "52____"}, + {42, kOct | kLeft | kUpper | kPos, /*width = */ 0, "52"}, + {42, kOct | kLeft | kUpper | kPos, /*width = */ 6, "52____"}, + {42, kOct | kLeft | kUpper | kBase, /*width = */ 0, "052"}, + {42, kOct | kLeft | kUpper | kBase, /*width = */ 6, "052___"}, + {42, kOct | kLeft | kUpper | kBase | kPos, /*width = */ 0, "052"}, + {42, kOct | kLeft | kUpper | kBase | kPos, /*width = */ 6, "052___"}, + {42, kOct | kInt, /*width = */ 0, "52"}, + {42, kOct | kInt, /*width = */ 6, "____52"}, + {42, kOct | kInt | kPos, /*width = */ 0, "52"}, + {42, kOct | kInt | kPos, /*width = */ 6, "____52"}, + {42, kOct | kInt | kBase, /*width = */ 0, "052"}, + {42, kOct | kInt | kBase, /*width = */ 6, "___052"}, + {42, kOct | kInt | kBase | kPos, /*width = */ 0, "052"}, + {42, kOct | kInt | kBase | kPos, /*width = */ 6, "___052"}, + {42, kOct | kInt | kUpper, /*width = */ 0, "52"}, + {42, kOct | kInt | kUpper, /*width = */ 6, "____52"}, + {42, kOct | kInt | kUpper | kPos, /*width = */ 0, "52"}, + {42, kOct | kInt | kUpper | kPos, /*width = */ 6, "____52"}, + {42, kOct | kInt | kUpper | kBase, /*width = */ 0, "052"}, + {42, kOct | kInt | kUpper | kBase, /*width = */ 6, "___052"}, + {42, kOct | kInt | kUpper | kBase | kPos, /*width = */ 0, "052"}, + {42, kOct | kInt | kUpper | kBase | kPos, /*width = */ 6, "___052"}, + {42, kOct | kRight, /*width = */ 0, "52"}, + {42, kOct | kRight, /*width = */ 6, "____52"}, + {42, kOct | kRight | kPos, /*width = */ 0, "52"}, + {42, kOct | kRight | kPos, /*width = */ 6, "____52"}, + {42, kOct | kRight | kBase, /*width = */ 0, "052"}, + {42, kOct | kRight | kBase, /*width = */ 6, "___052"}, + {42, kOct | kRight | kBase | kPos, /*width = */ 0, "052"}, + {42, kOct | kRight | kBase | kPos, /*width = */ 6, "___052"}, + {42, kOct | kRight | kUpper, /*width = */ 0, "52"}, + {42, kOct | kRight | kUpper, /*width = */ 6, "____52"}, + {42, kOct | kRight | kUpper | kPos, /*width = */ 0, "52"}, + {42, kOct | kRight | kUpper | kPos, /*width = */ 6, "____52"}, + {42, kOct | kRight | kUpper | kBase, /*width = */ 0, "052"}, + {42, kOct | kRight | kUpper | kBase, /*width = */ 6, "___052"}, + {42, kOct | kRight | kUpper | kBase | kPos, /*width = */ 0, "052"}, + {42, kOct | kRight | kUpper | kBase | kPos, /*width = */ 6, "___052"}, + {42, kHex, /*width = */ 0, "2a"}, + {42, kHex, /*width = */ 6, "____2a"}, + {42, kHex | kPos, /*width = */ 0, "2a"}, + {42, kHex | kPos, /*width = */ 6, "____2a"}, + {42, kHex | kBase, /*width = */ 0, "0x2a"}, + {42, kHex | kBase, /*width = */ 6, "__0x2a"}, + {42, kHex | kBase | kPos, /*width = */ 0, "0x2a"}, + {42, kHex | kBase | kPos, /*width = */ 6, "__0x2a"}, + {42, kHex | kUpper, /*width = */ 0, "2A"}, + {42, kHex | kUpper, /*width = */ 6, "____2A"}, + {42, kHex | kUpper | kPos, /*width = */ 0, "2A"}, + {42, kHex | kUpper | kPos, /*width = */ 6, "____2A"}, + {42, kHex | kUpper | kBase, /*width = */ 0, "0X2A"}, + {42, kHex | kUpper | kBase, /*width = */ 6, "__0X2A"}, + {42, kHex | kUpper | kBase | kPos, /*width = */ 0, "0X2A"}, + {42, kHex | kUpper | kBase | kPos, /*width = */ 6, "__0X2A"}, + {42, kHex | kLeft, /*width = */ 0, "2a"}, + {42, kHex | kLeft, /*width = */ 6, "2a____"}, + {42, kHex | kLeft | kPos, /*width = */ 0, "2a"}, + {42, kHex | kLeft | kPos, /*width = */ 6, "2a____"}, + {42, kHex | kLeft | kBase, /*width = */ 0, "0x2a"}, + {42, kHex | kLeft | kBase, /*width = */ 6, "0x2a__"}, + {42, kHex | kLeft | kBase | kPos, /*width = */ 0, "0x2a"}, + {42, kHex | kLeft | kBase | kPos, /*width = */ 6, "0x2a__"}, + {42, kHex | kLeft | kUpper, /*width = */ 0, "2A"}, + {42, kHex | kLeft | kUpper, /*width = */ 6, "2A____"}, + {42, kHex | kLeft | kUpper | kPos, /*width = */ 0, "2A"}, + {42, kHex | kLeft | kUpper | kPos, /*width = */ 6, "2A____"}, + {42, kHex | kLeft | kUpper | kBase, /*width = */ 0, "0X2A"}, + {42, kHex | kLeft | kUpper | kBase, /*width = */ 6, "0X2A__"}, + {42, kHex | kLeft | kUpper | kBase | kPos, /*width = */ 0, "0X2A"}, + {42, kHex | kLeft | kUpper | kBase | kPos, /*width = */ 6, "0X2A__"}, + {42, kHex | kInt, /*width = */ 0, "2a"}, + {42, kHex | kInt, /*width = */ 6, "____2a"}, + {42, kHex | kInt | kPos, /*width = */ 0, "2a"}, + {42, kHex | kInt | kPos, /*width = */ 6, "____2a"}, + {42, kHex | kInt | kBase, /*width = */ 0, "0x2a"}, + {42, kHex | kInt | kBase, /*width = */ 6, "0x__2a"}, + {42, kHex | kInt | kBase | kPos, /*width = */ 0, "0x2a"}, + {42, kHex | kInt | kBase | kPos, /*width = */ 6, "0x__2a"}, + {42, kHex | kInt | kUpper, /*width = */ 0, "2A"}, + {42, kHex | kInt | kUpper, /*width = */ 6, "____2A"}, + {42, kHex | kInt | kUpper | kPos, /*width = */ 0, "2A"}, + {42, kHex | kInt | kUpper | kPos, /*width = */ 6, "____2A"}, + {42, kHex | kInt | kUpper | kBase, /*width = */ 0, "0X2A"}, + {42, kHex | kInt | kUpper | kBase, /*width = */ 6, "0X__2A"}, + {42, kHex | kInt | kUpper | kBase | kPos, /*width = */ 0, "0X2A"}, + {42, kHex | kInt | kUpper | kBase | kPos, /*width = */ 6, "0X__2A"}, + {42, kHex | kRight, /*width = */ 0, "2a"}, + {42, kHex | kRight, /*width = */ 6, "____2a"}, + {42, kHex | kRight | kPos, /*width = */ 0, "2a"}, + {42, kHex | kRight | kPos, /*width = */ 6, "____2a"}, + {42, kHex | kRight | kBase, /*width = */ 0, "0x2a"}, + {42, kHex | kRight | kBase, /*width = */ 6, "__0x2a"}, + {42, kHex | kRight | kBase | kPos, /*width = */ 0, "0x2a"}, + {42, kHex | kRight | kBase | kPos, /*width = */ 6, "__0x2a"}, + {42, kHex | kRight | kUpper, /*width = */ 0, "2A"}, + {42, kHex | kRight | kUpper, /*width = */ 6, "____2A"}, + {42, kHex | kRight | kUpper | kPos, /*width = */ 0, "2A"}, + {42, kHex | kRight | kUpper | kPos, /*width = */ 6, "____2A"}, + {42, kHex | kRight | kUpper | kBase, /*width = */ 0, "0X2A"}, + {42, kHex | kRight | kUpper | kBase, /*width = */ 6, "__0X2A"}, + {42, kHex | kRight | kUpper | kBase | kPos, /*width = */ 0, "0X2A"}, + {42, kHex | kRight | kUpper | kBase | kPos, /*width = */ 6, "__0X2A"}, + {-321, std::ios_base::fmtflags(), /*width = */ 0, "-321"}, + {-321, std::ios_base::fmtflags(), /*width = */ 6, "__-321"}, + {-321, kPos, /*width = */ 0, "-321"}, + {-321, kPos, /*width = */ 6, "__-321"}, + {-321, kBase, /*width = */ 0, "-321"}, + {-321, kBase, /*width = */ 6, "__-321"}, + {-321, kBase | kPos, /*width = */ 0, "-321"}, + {-321, kBase | kPos, /*width = */ 6, "__-321"}, + {-321, kUpper, /*width = */ 0, "-321"}, + {-321, kUpper, /*width = */ 6, "__-321"}, + {-321, kUpper | kPos, /*width = */ 0, "-321"}, + {-321, kUpper | kPos, /*width = */ 6, "__-321"}, + {-321, kUpper | kBase, /*width = */ 0, "-321"}, + {-321, kUpper | kBase, /*width = */ 6, "__-321"}, + {-321, kUpper | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kUpper | kBase | kPos, /*width = */ 6, "__-321"}, + {-321, kLeft, /*width = */ 0, "-321"}, + {-321, kLeft, /*width = */ 6, "-321__"}, + {-321, kLeft | kPos, /*width = */ 0, "-321"}, + {-321, kLeft | kPos, /*width = */ 6, "-321__"}, + {-321, kLeft | kBase, /*width = */ 0, "-321"}, + {-321, kLeft | kBase, /*width = */ 6, "-321__"}, + {-321, kLeft | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kLeft | kBase | kPos, /*width = */ 6, "-321__"}, + {-321, kLeft | kUpper, /*width = */ 0, "-321"}, + {-321, kLeft | kUpper, /*width = */ 6, "-321__"}, + {-321, kLeft | kUpper | kPos, /*width = */ 0, "-321"}, + {-321, kLeft | kUpper | kPos, /*width = */ 6, "-321__"}, + {-321, kLeft | kUpper | kBase, /*width = */ 0, "-321"}, + {-321, kLeft | kUpper | kBase, /*width = */ 6, "-321__"}, + {-321, kLeft | kUpper | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kLeft | kUpper | kBase | kPos, /*width = */ 6, "-321__"}, + {-321, kInt, /*width = */ 0, "-321"}, + {-321, kInt, /*width = */ 6, "-__321"}, + {-321, kInt | kPos, /*width = */ 0, "-321"}, + {-321, kInt | kPos, /*width = */ 6, "-__321"}, + {-321, kInt | kBase, /*width = */ 0, "-321"}, + {-321, kInt | kBase, /*width = */ 6, "-__321"}, + {-321, kInt | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kInt | kBase | kPos, /*width = */ 6, "-__321"}, + {-321, kInt | kUpper, /*width = */ 0, "-321"}, + {-321, kInt | kUpper, /*width = */ 6, "-__321"}, + {-321, kInt | kUpper | kPos, /*width = */ 0, "-321"}, + {-321, kInt | kUpper | kPos, /*width = */ 6, "-__321"}, + {-321, kInt | kUpper | kBase, /*width = */ 0, "-321"}, + {-321, kInt | kUpper | kBase, /*width = */ 6, "-__321"}, + {-321, kInt | kUpper | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kInt | kUpper | kBase | kPos, /*width = */ 6, "-__321"}, + {-321, kRight, /*width = */ 0, "-321"}, + {-321, kRight, /*width = */ 6, "__-321"}, + {-321, kRight | kPos, /*width = */ 0, "-321"}, + {-321, kRight | kPos, /*width = */ 6, "__-321"}, + {-321, kRight | kBase, /*width = */ 0, "-321"}, + {-321, kRight | kBase, /*width = */ 6, "__-321"}, + {-321, kRight | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kRight | kBase | kPos, /*width = */ 6, "__-321"}, + {-321, kRight | kUpper, /*width = */ 0, "-321"}, + {-321, kRight | kUpper, /*width = */ 6, "__-321"}, + {-321, kRight | kUpper | kPos, /*width = */ 0, "-321"}, + {-321, kRight | kUpper | kPos, /*width = */ 6, "__-321"}, + {-321, kRight | kUpper | kBase, /*width = */ 0, "-321"}, + {-321, kRight | kUpper | kBase, /*width = */ 6, "__-321"}, + {-321, kRight | kUpper | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kRight | kUpper | kBase | kPos, /*width = */ 6, "__-321"}, + {-321, kDec, /*width = */ 0, "-321"}, + {-321, kDec, /*width = */ 6, "__-321"}, + {-321, kDec | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kPos, /*width = */ 6, "__-321"}, + {-321, kDec | kBase, /*width = */ 0, "-321"}, + {-321, kDec | kBase, /*width = */ 6, "__-321"}, + {-321, kDec | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kBase | kPos, /*width = */ 6, "__-321"}, + {-321, kDec | kUpper, /*width = */ 0, "-321"}, + {-321, kDec | kUpper, /*width = */ 6, "__-321"}, + {-321, kDec | kUpper | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kUpper | kPos, /*width = */ 6, "__-321"}, + {-321, kDec | kUpper | kBase, /*width = */ 0, "-321"}, + {-321, kDec | kUpper | kBase, /*width = */ 6, "__-321"}, + {-321, kDec | kUpper | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kUpper | kBase | kPos, /*width = */ 6, "__-321"}, + {-321, kDec | kLeft, /*width = */ 0, "-321"}, + {-321, kDec | kLeft, /*width = */ 6, "-321__"}, + {-321, kDec | kLeft | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kLeft | kPos, /*width = */ 6, "-321__"}, + {-321, kDec | kLeft | kBase, /*width = */ 0, "-321"}, + {-321, kDec | kLeft | kBase, /*width = */ 6, "-321__"}, + {-321, kDec | kLeft | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kLeft | kBase | kPos, /*width = */ 6, "-321__"}, + {-321, kDec | kLeft | kUpper, /*width = */ 0, "-321"}, + {-321, kDec | kLeft | kUpper, /*width = */ 6, "-321__"}, + {-321, kDec | kLeft | kUpper | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kLeft | kUpper | kPos, /*width = */ 6, "-321__"}, + {-321, kDec | kLeft | kUpper | kBase, /*width = */ 0, "-321"}, + {-321, kDec | kLeft | kUpper | kBase, /*width = */ 6, "-321__"}, + {-321, kDec | kLeft | kUpper | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kLeft | kUpper | kBase | kPos, /*width = */ 6, "-321__"}, + {-321, kDec | kInt, /*width = */ 0, "-321"}, + {-321, kDec | kInt, /*width = */ 6, "-__321"}, + {-321, kDec | kInt | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kInt | kPos, /*width = */ 6, "-__321"}, + {-321, kDec | kInt | kBase, /*width = */ 0, "-321"}, + {-321, kDec | kInt | kBase, /*width = */ 6, "-__321"}, + {-321, kDec | kInt | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kInt | kBase | kPos, /*width = */ 6, "-__321"}, + {-321, kDec | kInt | kUpper, /*width = */ 0, "-321"}, + {-321, kDec | kInt | kUpper, /*width = */ 6, "-__321"}, + {-321, kDec | kInt | kUpper | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kInt | kUpper | kPos, /*width = */ 6, "-__321"}, + {-321, kDec | kInt | kUpper | kBase, /*width = */ 0, "-321"}, + {-321, kDec | kInt | kUpper | kBase, /*width = */ 6, "-__321"}, + {-321, kDec | kInt | kUpper | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kInt | kUpper | kBase | kPos, /*width = */ 6, "-__321"}, + {-321, kDec | kRight, /*width = */ 0, "-321"}, + {-321, kDec | kRight, /*width = */ 6, "__-321"}, + {-321, kDec | kRight | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kRight | kPos, /*width = */ 6, "__-321"}, + {-321, kDec | kRight | kBase, /*width = */ 0, "-321"}, + {-321, kDec | kRight | kBase, /*width = */ 6, "__-321"}, + {-321, kDec | kRight | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kRight | kBase | kPos, /*width = */ 6, "__-321"}, + {-321, kDec | kRight | kUpper, /*width = */ 0, "-321"}, + {-321, kDec | kRight | kUpper, /*width = */ 6, "__-321"}, + {-321, kDec | kRight | kUpper | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kRight | kUpper | kPos, /*width = */ 6, "__-321"}, + {-321, kDec | kRight | kUpper | kBase, /*width = */ 0, "-321"}, + {-321, kDec | kRight | kUpper | kBase, /*width = */ 6, "__-321"}, + {-321, kDec | kRight | kUpper | kBase | kPos, /*width = */ 0, "-321"}, + {-321, kDec | kRight | kUpper | kBase | kPos, /*width = */ 6, "__-321"}}; +} + std::vector<Uint128TestCase> GetUint128FormatCases() { return { {0, std::ios_base::fmtflags(), /*width = */ 0, "0"}, diff --git a/absl/numeric/int128_test.cc b/absl/numeric/int128_test.cc index 5e1b5ec352b0..bc86c714acce 100644 --- a/absl/numeric/int128_test.cc +++ b/absl/numeric/int128_test.cc @@ -479,4 +479,747 @@ TEST(Uint128, Hash) { })); } + +TEST(Int128Uint128, ConversionTest) { + absl::int128 nonnegative_signed_values[] = { + 0, + 1, + 0xffeeddccbbaa9988, + absl::MakeInt128(0x7766554433221100, 0), + absl::MakeInt128(0x1234567890abcdef, 0xfedcba0987654321), + absl::Int128Max()}; + for (absl::int128 value : nonnegative_signed_values) { + EXPECT_EQ(value, absl::int128(absl::uint128(value))); + + absl::uint128 assigned_value; + assigned_value = value; + EXPECT_EQ(value, absl::int128(assigned_value)); + } + + absl::int128 negative_values[] = { + -1, -0x1234567890abcdef, + absl::MakeInt128(-0x5544332211ffeedd, 0), + -absl::MakeInt128(0x76543210fedcba98, 0xabcdef0123456789)}; + for (absl::int128 value : negative_values) { + EXPECT_EQ(absl::uint128(-value), -absl::uint128(value)); + + absl::uint128 assigned_value; + assigned_value = value; + EXPECT_EQ(absl::uint128(-value), -assigned_value); + } +} + +template <typename T> +class Int128IntegerTraitsTest : public ::testing::Test {}; + +TYPED_TEST_SUITE(Int128IntegerTraitsTest, IntegerTypes); + +TYPED_TEST(Int128IntegerTraitsTest, ConstructAssignTest) { + static_assert(std::is_constructible<absl::int128, TypeParam>::value, + "absl::int128 must be constructible from TypeParam"); + static_assert(std::is_assignable<absl::int128&, TypeParam>::value, + "absl::int128 must be assignable from TypeParam"); + static_assert(!std::is_assignable<TypeParam&, absl::int128>::value, + "TypeParam must not be assignable from absl::int128"); +} + +template <typename T> +class Int128FloatTraitsTest : public ::testing::Test {}; + +TYPED_TEST_SUITE(Int128FloatTraitsTest, FloatingPointTypes); + +TYPED_TEST(Int128FloatTraitsTest, ConstructAssignTest) { + static_assert(std::is_constructible<absl::int128, TypeParam>::value, + "absl::int128 must be constructible from TypeParam"); + static_assert(!std::is_assignable<absl::int128&, TypeParam>::value, + "absl::int128 must not be assignable from TypeParam"); + static_assert(!std::is_assignable<TypeParam&, absl::int128>::value, + "TypeParam must not be assignable from absl::int128"); +} + +#ifdef ABSL_HAVE_INTRINSIC_INT128 +// These type traits done separately as TYPED_TEST requires typeinfo, and not +// all platforms have this for __int128 even though they define the type. +TEST(Int128, IntrinsicTypeTraitsTest) { + static_assert(std::is_constructible<absl::int128, __int128>::value, + "absl::int128 must be constructible from __int128"); + static_assert(std::is_assignable<absl::int128&, __int128>::value, + "absl::int128 must be assignable from __int128"); + static_assert(!std::is_assignable<__int128&, absl::int128>::value, + "__int128 must not be assignable from absl::int128"); + + static_assert(std::is_constructible<absl::int128, unsigned __int128>::value, + "absl::int128 must be constructible from unsigned __int128"); + static_assert(!std::is_assignable<absl::int128&, unsigned __int128>::value, + "absl::int128 must be assignable from unsigned __int128"); + static_assert(!std::is_assignable<unsigned __int128&, absl::int128>::value, + "unsigned __int128 must not be assignable from absl::int128"); +} +#endif // ABSL_HAVE_INTRINSIC_INT128 + +TEST(Int128, TrivialTraitsTest) { + static_assert(absl::is_trivially_default_constructible<absl::int128>::value, + ""); + static_assert(absl::is_trivially_copy_constructible<absl::int128>::value, ""); + static_assert(absl::is_trivially_copy_assignable<absl::int128>::value, ""); + static_assert(std::is_trivially_destructible<absl::int128>::value, ""); +} + +TEST(Int128, BoolConversionTest) { + EXPECT_FALSE(absl::int128(0)); + for (int i = 0; i < 64; ++i) { + EXPECT_TRUE(absl::MakeInt128(0, uint64_t{1} << i)); + } + for (int i = 0; i < 63; ++i) { + EXPECT_TRUE(absl::MakeInt128(int64_t{1} << i, 0)); + } + EXPECT_TRUE(absl::Int128Min()); + + EXPECT_EQ(absl::int128(1), absl::int128(true)); + EXPECT_EQ(absl::int128(0), absl::int128(false)); +} + +template <typename T> +class Int128IntegerConversionTest : public ::testing::Test {}; + +TYPED_TEST_SUITE(Int128IntegerConversionTest, IntegerTypes); + +TYPED_TEST(Int128IntegerConversionTest, RoundTripTest) { + EXPECT_EQ(TypeParam{0}, static_cast<TypeParam>(absl::int128(0))); + EXPECT_EQ(std::numeric_limits<TypeParam>::min(), + static_cast<TypeParam>( + absl::int128(std::numeric_limits<TypeParam>::min()))); + EXPECT_EQ(std::numeric_limits<TypeParam>::max(), + static_cast<TypeParam>( + absl::int128(std::numeric_limits<TypeParam>::max()))); +} + +template <typename T> +class Int128FloatConversionTest : public ::testing::Test {}; + +TYPED_TEST_SUITE(Int128FloatConversionTest, FloatingPointTypes); + +TYPED_TEST(Int128FloatConversionTest, ConstructAndCastTest) { + // Conversions where the floating point values should be exactly the same. + // 0x9f5b is a randomly chosen small value. + for (int i = 0; i < 110; ++i) { // 110 = 126 - #bits in 0x9f5b + SCOPED_TRACE(::testing::Message() << "i = " << i); + + TypeParam float_value = std::ldexp(static_cast<TypeParam>(0x9f5b), i); + absl::int128 int_value = absl::int128(0x9f5b) << i; + + EXPECT_EQ(float_value, static_cast<TypeParam>(int_value)); + EXPECT_EQ(-float_value, static_cast<TypeParam>(-int_value)); + EXPECT_EQ(int_value, absl::int128(float_value)); + EXPECT_EQ(-int_value, absl::int128(-float_value)); + } + + // Round trip conversions with a small sample of randomly generated uint64_t + // values (less than int64_t max so that value * 2^64 fits into int128). + uint64_t values[] = {0x6d4492c24fb86199, 0x26ead65e4cb359b5, + 0x2c43407433ba3fd1, 0x3b574ec668df6b55, + 0x1c750e55a29f4f0f}; + for (uint64_t value : values) { + for (int i = 0; i <= 64; ++i) { + SCOPED_TRACE(::testing::Message() + << "value = " << value << "; i = " << i); + + TypeParam fvalue = std::ldexp(static_cast<TypeParam>(value), i); + EXPECT_DOUBLE_EQ(fvalue, static_cast<TypeParam>(absl::int128(fvalue))); + EXPECT_DOUBLE_EQ(-fvalue, static_cast<TypeParam>(-absl::int128(fvalue))); + EXPECT_DOUBLE_EQ(-fvalue, static_cast<TypeParam>(absl::int128(-fvalue))); + EXPECT_DOUBLE_EQ(fvalue, static_cast<TypeParam>(-absl::int128(-fvalue))); + } + } + + // Round trip conversions with a small sample of random large positive values. + absl::int128 large_values[] = { + absl::MakeInt128(0x5b0640d96c7b3d9f, 0xb7a7189e51d18622), + absl::MakeInt128(0x34bed042c6f65270, 0x73b236570669a089), + absl::MakeInt128(0x43deba9e6da12724, 0xf7f0f83da686797d), + absl::MakeInt128(0x71e8d383be4e5589, 0x75c3f96fb00752b6)}; + for (absl::int128 value : large_values) { + // Make value have as many significant bits as can be represented by + // the mantissa, also making sure the highest and lowest bit in the range + // are set. + value >>= (127 - std::numeric_limits<TypeParam>::digits); + value |= absl::int128(1) << (std::numeric_limits<TypeParam>::digits - 1); + value |= 1; + for (int i = 0; i < 127 - std::numeric_limits<TypeParam>::digits; ++i) { + absl::int128 int_value = value << i; + EXPECT_EQ(int_value, + static_cast<absl::int128>(static_cast<TypeParam>(int_value))); + EXPECT_EQ(-int_value, + static_cast<absl::int128>(static_cast<TypeParam>(-int_value))); + } + } + + // Small sample of checks that rounding is toward zero + EXPECT_EQ(0, absl::int128(TypeParam(0.1))); + EXPECT_EQ(17, absl::int128(TypeParam(17.8))); + EXPECT_EQ(0, absl::int128(TypeParam(-0.8))); + EXPECT_EQ(-53, absl::int128(TypeParam(-53.1))); + EXPECT_EQ(0, absl::int128(TypeParam(0.5))); + EXPECT_EQ(0, absl::int128(TypeParam(-0.5))); + TypeParam just_lt_one = std::nexttoward(TypeParam(1), TypeParam(0)); + EXPECT_EQ(0, absl::int128(just_lt_one)); + TypeParam just_gt_minus_one = std::nexttoward(TypeParam(-1), TypeParam(0)); + EXPECT_EQ(0, absl::int128(just_gt_minus_one)); + + // Check limits + EXPECT_DOUBLE_EQ(std::ldexp(static_cast<TypeParam>(1), 127), + static_cast<TypeParam>(absl::Int128Max())); + EXPECT_DOUBLE_EQ(-std::ldexp(static_cast<TypeParam>(1), 127), + static_cast<TypeParam>(absl::Int128Min())); +} + +TEST(Int128, FactoryTest) { + EXPECT_EQ(absl::int128(-1), absl::MakeInt128(-1, -1)); + EXPECT_EQ(absl::int128(-31), absl::MakeInt128(-1, -31)); + EXPECT_EQ(absl::int128(std::numeric_limits<int64_t>::min()), + absl::MakeInt128(-1, std::numeric_limits<int64_t>::min())); + EXPECT_EQ(absl::int128(0), absl::MakeInt128(0, 0)); + EXPECT_EQ(absl::int128(1), absl::MakeInt128(0, 1)); + EXPECT_EQ(absl::int128(std::numeric_limits<int64_t>::max()), + absl::MakeInt128(0, std::numeric_limits<int64_t>::max())); +} + +TEST(Int128, HighLowTest) { + struct HighLowPair { + int64_t high; + uint64_t low; + }; + HighLowPair values[]{{0, 0}, {0, 1}, {1, 0}, {123, 456}, {-654, 321}}; + for (const HighLowPair& pair : values) { + absl::int128 value = absl::MakeInt128(pair.high, pair.low); + EXPECT_EQ(pair.low, absl::Int128Low64(value)); + EXPECT_EQ(pair.high, absl::Int128High64(value)); + } +} + +TEST(Int128, LimitsTest) { + EXPECT_EQ(absl::MakeInt128(0x7fffffffffffffff, 0xffffffffffffffff), + absl::Int128Max()); + EXPECT_EQ(absl::Int128Max(), ~absl::Int128Min()); +} + +#if defined(ABSL_HAVE_INTRINSIC_INT128) +TEST(Int128, IntrinsicConversionTest) { + __int128 intrinsic = + (static_cast<__int128>(0x3a5b76c209de76f6) << 64) + 0x1f25e1d63a2b46c5; + absl::int128 custom = + absl::MakeInt128(0x3a5b76c209de76f6, 0x1f25e1d63a2b46c5); + + EXPECT_EQ(custom, absl::int128(intrinsic)); + EXPECT_EQ(intrinsic, static_cast<__int128>(custom)); +} +#endif // ABSL_HAVE_INTRINSIC_INT128 + +TEST(Int128, ConstexprTest) { + constexpr absl::int128 zero = absl::int128(); + constexpr absl::int128 one = 1; + constexpr absl::int128 minus_two = -2; + constexpr absl::int128 min = absl::Int128Min(); + constexpr absl::int128 max = absl::Int128Max(); + EXPECT_EQ(zero, absl::int128(0)); + EXPECT_EQ(one, absl::int128(1)); + EXPECT_EQ(minus_two, absl::MakeInt128(-1, -2)); + EXPECT_GT(max, one); + EXPECT_LT(min, minus_two); +} + +TEST(Int128, ComparisonTest) { + struct TestCase { + absl::int128 smaller; + absl::int128 larger; + }; + TestCase cases[] = { + {absl::int128(0), absl::int128(123)}, + {absl::MakeInt128(-12, 34), absl::MakeInt128(12, 34)}, + {absl::MakeInt128(1, 1000), absl::MakeInt128(1000, 1)}, + {absl::MakeInt128(-1000, 1000), absl::MakeInt128(-1, 1)}, + }; + for (const TestCase& pair : cases) { + SCOPED_TRACE(::testing::Message() << "pair.smaller = " << pair.smaller + << "; pair.larger = " << pair.larger); + + EXPECT_TRUE(pair.smaller == pair.smaller); // NOLINT(readability/check) + EXPECT_TRUE(pair.larger == pair.larger); // NOLINT(readability/check) + EXPECT_FALSE(pair.smaller == pair.larger); // NOLINT(readability/check) + + EXPECT_TRUE(pair.smaller != pair.larger); // NOLINT(readability/check) + EXPECT_FALSE(pair.smaller != pair.smaller); // NOLINT(readability/check) + EXPECT_FALSE(pair.larger != pair.larger); // NOLINT(readability/check) + + EXPECT_TRUE(pair.smaller < pair.larger); // NOLINT(readability/check) + EXPECT_FALSE(pair.larger < pair.smaller); // NOLINT(readability/check) + + EXPECT_TRUE(pair.larger > pair.smaller); // NOLINT(readability/check) + EXPECT_FALSE(pair.smaller > pair.larger); // NOLINT(readability/check) + + EXPECT_TRUE(pair.smaller <= pair.larger); // NOLINT(readability/check) + EXPECT_FALSE(pair.larger <= pair.smaller); // NOLINT(readability/check) + EXPECT_TRUE(pair.smaller <= pair.smaller); // NOLINT(readability/check) + EXPECT_TRUE(pair.larger <= pair.larger); // NOLINT(readability/check) + + EXPECT_TRUE(pair.larger >= pair.smaller); // NOLINT(readability/check) + EXPECT_FALSE(pair.smaller >= pair.larger); // NOLINT(readability/check) + EXPECT_TRUE(pair.smaller >= pair.smaller); // NOLINT(readability/check) + EXPECT_TRUE(pair.larger >= pair.larger); // NOLINT(readability/check) + } +} + +TEST(Int128, UnaryNegationTest) { + int64_t values64[] = {0, 1, 12345, 0x4000000000000000, + std::numeric_limits<int64_t>::max()}; + for (int64_t value : values64) { + SCOPED_TRACE(::testing::Message() << "value = " << value); + + EXPECT_EQ(absl::int128(-value), -absl::int128(value)); + EXPECT_EQ(absl::int128(value), -absl::int128(-value)); + EXPECT_EQ(absl::MakeInt128(-value, 0), -absl::MakeInt128(value, 0)); + EXPECT_EQ(absl::MakeInt128(value, 0), -absl::MakeInt128(-value, 0)); + } +} + +TEST(Int128, LogicalNotTest) { + EXPECT_TRUE(!absl::int128(0)); + for (int i = 0; i < 64; ++i) { + EXPECT_FALSE(!absl::MakeInt128(0, uint64_t{1} << i)); + } + for (int i = 0; i < 63; ++i) { + EXPECT_FALSE(!absl::MakeInt128(int64_t{1} << i, 0)); + } +} + +TEST(Int128, AdditionSubtractionTest) { + // 64 bit pairs that will not cause overflow / underflow. These test negative + // carry; positive carry must be checked separately. + std::pair<int64_t, int64_t> cases[]{ + {0, 0}, // 0, 0 + {0, 2945781290834}, // 0, + + {1908357619234, 0}, // +, 0 + {0, -1204895918245}, // 0, - + {-2957928523560, 0}, // -, 0 + {89023982312461, 98346012567134}, // +, + + {-63454234568239, -23456235230773}, // -, - + {98263457263502, -21428561935925}, // +, - + {-88235237438467, 15923659234573}, // -, + + }; + for (const auto& pair : cases) { + SCOPED_TRACE(::testing::Message() + << "pair = {" << pair.first << ", " << pair.second << '}'); + + EXPECT_EQ(absl::int128(pair.first + pair.second), + absl::int128(pair.first) + absl::int128(pair.second)); + EXPECT_EQ(absl::int128(pair.second + pair.first), + absl::int128(pair.second) += absl::int128(pair.first)); + + EXPECT_EQ(absl::int128(pair.first - pair.second), + absl::int128(pair.first) - absl::int128(pair.second)); + EXPECT_EQ(absl::int128(pair.second - pair.first), + absl::int128(pair.second) -= absl::int128(pair.first)); + + EXPECT_EQ( + absl::MakeInt128(pair.second + pair.first, 0), + absl::MakeInt128(pair.second, 0) + absl::MakeInt128(pair.first, 0)); + EXPECT_EQ( + absl::MakeInt128(pair.first + pair.second, 0), + absl::MakeInt128(pair.first, 0) += absl::MakeInt128(pair.second, 0)); + + EXPECT_EQ( + absl::MakeInt128(pair.second - pair.first, 0), + absl::MakeInt128(pair.second, 0) - absl::MakeInt128(pair.first, 0)); + EXPECT_EQ( + absl::MakeInt128(pair.first - pair.second, 0), + absl::MakeInt128(pair.first, 0) -= absl::MakeInt128(pair.second, 0)); + } + + // check positive carry + EXPECT_EQ(absl::MakeInt128(31, 0), + absl::MakeInt128(20, 1) + + absl::MakeInt128(10, std::numeric_limits<uint64_t>::max())); +} + +TEST(Int128, IncrementDecrementTest) { + absl::int128 value = 0; + EXPECT_EQ(0, value++); + EXPECT_EQ(1, value); + EXPECT_EQ(1, value--); + EXPECT_EQ(0, value); + EXPECT_EQ(-1, --value); + EXPECT_EQ(-1, value); + EXPECT_EQ(0, ++value); + EXPECT_EQ(0, value); +} + +TEST(Int128, MultiplicationTest) { + // 1 bit x 1 bit, and negative combinations + for (int i = 0; i < 64; ++i) { + for (int j = 0; j < 127 - i; ++j) { + SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j); + absl::int128 a = absl::int128(1) << i; + absl::int128 b = absl::int128(1) << j; + absl::int128 c = absl::int128(1) << (i + j); + + EXPECT_EQ(c, a * b); + EXPECT_EQ(-c, -a * b); + EXPECT_EQ(-c, a * -b); + EXPECT_EQ(c, -a * -b); + + EXPECT_EQ(c, absl::int128(a) *= b); + EXPECT_EQ(-c, absl::int128(-a) *= b); + EXPECT_EQ(-c, absl::int128(a) *= -b); + EXPECT_EQ(c, absl::int128(-a) *= -b); + } + } + + // Pairs of random values that will not overflow signed 64-bit multiplication + std::pair<int64_t, int64_t> small_values[] = { + {0x5e61, 0xf29f79ca14b4}, // +, + + {0x3e033b, -0x612c0ee549}, // +, - + {-0x052ce7e8, 0x7c728f0f}, // -, + + {-0x3af7054626, -0xfb1e1d}, // -, - + }; + for (const std::pair<int64_t, int64_t>& pair : small_values) { + SCOPED_TRACE(::testing::Message() + << "pair = {" << pair.first << ", " << pair.second << '}'); + + EXPECT_EQ(absl::int128(pair.first * pair.second), + absl::int128(pair.first) * absl::int128(pair.second)); + EXPECT_EQ(absl::int128(pair.first * pair.second), + absl::int128(pair.first) *= absl::int128(pair.second)); + + EXPECT_EQ(absl::MakeInt128(pair.first * pair.second, 0), + absl::MakeInt128(pair.first, 0) * absl::int128(pair.second)); + EXPECT_EQ(absl::MakeInt128(pair.first * pair.second, 0), + absl::MakeInt128(pair.first, 0) *= absl::int128(pair.second)); + } + + // Pairs of positive random values that will not overflow 64-bit + // multiplication and can be left shifted by 32 without overflow + std::pair<int64_t, int64_t> small_values2[] = { + {0x1bb0a110, 0x31487671}, + {0x4792784e, 0x28add7d7}, + {0x7b66553a, 0x11dff8ef}, + }; + for (const std::pair<int64_t, int64_t>& pair : small_values2) { + SCOPED_TRACE(::testing::Message() + << "pair = {" << pair.first << ", " << pair.second << '}'); + + absl::int128 a = absl::int128(pair.first << 32); + absl::int128 b = absl::int128(pair.second << 32); + absl::int128 c = absl::MakeInt128(pair.first * pair.second, 0); + + EXPECT_EQ(c, a * b); + EXPECT_EQ(-c, -a * b); + EXPECT_EQ(-c, a * -b); + EXPECT_EQ(c, -a * -b); + + EXPECT_EQ(c, absl::int128(a) *= b); + EXPECT_EQ(-c, absl::int128(-a) *= b); + EXPECT_EQ(-c, absl::int128(a) *= -b); + EXPECT_EQ(c, absl::int128(-a) *= -b); + } + + // check 0, 1, and -1 behavior with large values + absl::int128 large_values[] = { + {absl::MakeInt128(0xd66f061af02d0408, 0x727d2846cb475b53)}, + {absl::MakeInt128(0x27b8d5ed6104452d, 0x03f8a33b0ee1df4f)}, + {-absl::MakeInt128(0x621b6626b9e8d042, 0x27311ac99df00938)}, + {-absl::MakeInt128(0x34e0656f1e95fb60, 0x4281cfd731257a47)}, + }; + for (absl::int128 value : large_values) { + EXPECT_EQ(0, 0 * value); + EXPECT_EQ(0, value * 0); + EXPECT_EQ(0, absl::int128(0) *= value); + EXPECT_EQ(0, value *= 0); + + EXPECT_EQ(value, 1 * value); + EXPECT_EQ(value, value * 1); + EXPECT_EQ(value, absl::int128(1) *= value); + EXPECT_EQ(value, value *= 1); + + EXPECT_EQ(-value, -1 * value); + EXPECT_EQ(-value, value * -1); + EXPECT_EQ(-value, absl::int128(-1) *= value); + EXPECT_EQ(-value, value *= -1); + } + + // Manually calculated random large value cases + EXPECT_EQ(absl::MakeInt128(0xcd0efd3442219bb, 0xde47c05bcd9df6e1), + absl::MakeInt128(0x7c6448, 0x3bc4285c47a9d253) * 0x1a6037537b); + EXPECT_EQ(-absl::MakeInt128(0x1f8f149850b1e5e6, 0x1e50d6b52d272c3e), + -absl::MakeInt128(0x23, 0x2e68a513ca1b8859) * 0xe5a434cd14866e); + EXPECT_EQ(-absl::MakeInt128(0x55cae732029d1fce, 0xca6474b6423263e4), + 0xa9b98a8ddf66bc * -absl::MakeInt128(0x81, 0x672e58231e2469d7)); + EXPECT_EQ(absl::MakeInt128(0x19c8b7620b507dc4, 0xfec042b71a5f29a4), + -0x3e39341147 * -absl::MakeInt128(0x6a14b2, 0x5ed34cca42327b3c)); + + EXPECT_EQ(absl::MakeInt128(0xcd0efd3442219bb, 0xde47c05bcd9df6e1), + absl::MakeInt128(0x7c6448, 0x3bc4285c47a9d253) *= 0x1a6037537b); + EXPECT_EQ(-absl::MakeInt128(0x1f8f149850b1e5e6, 0x1e50d6b52d272c3e), + -absl::MakeInt128(0x23, 0x2e68a513ca1b8859) *= 0xe5a434cd14866e); + EXPECT_EQ(-absl::MakeInt128(0x55cae732029d1fce, 0xca6474b6423263e4), + absl::int128(0xa9b98a8ddf66bc) *= + -absl::MakeInt128(0x81, 0x672e58231e2469d7)); + EXPECT_EQ(absl::MakeInt128(0x19c8b7620b507dc4, 0xfec042b71a5f29a4), + absl::int128(-0x3e39341147) *= + -absl::MakeInt128(0x6a14b2, 0x5ed34cca42327b3c)); +} + +TEST(Int128, DivisionAndModuloTest) { + // Check against 64 bit division and modulo operators with a sample of + // randomly generated pairs. + std::pair<int64_t, int64_t> small_pairs[] = { + {0x15f2a64138, 0x67da05}, {0x5e56d194af43045f, 0xcf1543fb99}, + {0x15e61ed052036a, -0xc8e6}, {0x88125a341e85, -0xd23fb77683}, + {-0xc06e20, 0x5a}, {-0x4f100219aea3e85d, 0xdcc56cb4efe993}, + {-0x168d629105, -0xa7}, {-0x7b44e92f03ab2375, -0x6516}, + }; + for (const std::pair<int64_t, int64_t>& pair : small_pairs) { + SCOPED_TRACE(::testing::Message() + << "pair = {" << pair.first << ", " << pair.second << '}'); + + absl::int128 dividend = pair.first; + absl::int128 divisor = pair.second; + int64_t quotient = pair.first / pair.second; + int64_t remainder = pair.first % pair.second; + + EXPECT_EQ(quotient, dividend / divisor); + EXPECT_EQ(quotient, absl::int128(dividend) /= divisor); + EXPECT_EQ(remainder, dividend % divisor); + EXPECT_EQ(remainder, absl::int128(dividend) %= divisor); + } + + // Test behavior with 0, 1, and -1 with a sample of randomly generated large + // values. + absl::int128 values[] = { + absl::MakeInt128(0x63d26ee688a962b2, 0x9e1411abda5c1d70), + absl::MakeInt128(0x152f385159d6f986, 0xbf8d48ef63da395d), + -absl::MakeInt128(0x3098d7567030038c, 0x14e7a8a098dc2164), + -absl::MakeInt128(0x49a037aca35c809f, 0xa6a87525480ef330), + }; + for (absl::int128 value : values) { + SCOPED_TRACE(::testing::Message() << "value = " << value); + + EXPECT_EQ(0, 0 / value); + EXPECT_EQ(0, absl::int128(0) /= value); + EXPECT_EQ(0, 0 % value); + EXPECT_EQ(0, absl::int128(0) %= value); + + EXPECT_EQ(value, value / 1); + EXPECT_EQ(value, absl::int128(value) /= 1); + EXPECT_EQ(0, value % 1); + EXPECT_EQ(0, absl::int128(value) %= 1); + + EXPECT_EQ(-value, value / -1); + EXPECT_EQ(-value, absl::int128(value) /= -1); + EXPECT_EQ(0, value % -1); + EXPECT_EQ(0, absl::int128(value) %= -1); + } + + // Min and max values + EXPECT_EQ(0, absl::Int128Max() / absl::Int128Min()); + EXPECT_EQ(absl::Int128Max(), absl::Int128Max() % absl::Int128Min()); + EXPECT_EQ(-1, absl::Int128Min() / absl::Int128Max()); + EXPECT_EQ(-1, absl::Int128Min() % absl::Int128Max()); + + // Power of two division and modulo of random large dividends + absl::int128 positive_values[] = { + absl::MakeInt128(0x21e1a1cc69574620, 0xe7ac447fab2fc869), + absl::MakeInt128(0x32c2ff3ab89e66e8, 0x03379a613fd1ce74), + absl::MakeInt128(0x6f32ca786184dcaf, 0x046f9c9ecb3a9ce1), + absl::MakeInt128(0x1aeb469dd990e0ee, 0xda2740f243cd37eb), + }; + for (absl::int128 value : positive_values) { + for (int i = 0; i < 127; ++i) { + SCOPED_TRACE(::testing::Message() + << "value = " << value << "; i = " << i); + absl::int128 power_of_two = absl::int128(1) << i; + + EXPECT_EQ(value >> i, value / power_of_two); + EXPECT_EQ(value >> i, absl::int128(value) /= power_of_two); + EXPECT_EQ(value & (power_of_two - 1), value % power_of_two); + EXPECT_EQ(value & (power_of_two - 1), + absl::int128(value) %= power_of_two); + } + } + + // Manually calculated cases with random large dividends + struct DivisionModCase { + absl::int128 dividend; + absl::int128 divisor; + absl::int128 quotient; + absl::int128 remainder; + }; + DivisionModCase manual_cases[] = { + {absl::MakeInt128(0x6ada48d489007966, 0x3c9c5c98150d5d69), + absl::MakeInt128(0x8bc308fb, 0x8cb9cc9a3b803344), 0xc3b87e08, + absl::MakeInt128(0x1b7db5e1, 0xd9eca34b7af04b49)}, + {absl::MakeInt128(0xd6946511b5b, 0x4886c5c96546bf5f), + -absl::MakeInt128(0x263b, 0xfd516279efcfe2dc), -0x59cbabf0, + absl::MakeInt128(0x622, 0xf462909155651d1f)}, + {-absl::MakeInt128(0x33db734f9e8d1399, 0x8447ac92482bca4d), 0x37495078240, + -absl::MakeInt128(0xf01f1, 0xbc0368bf9a77eae8), -0x21a508f404d}, + {-absl::MakeInt128(0x13f837b409a07e7d, 0x7fc8e248a7d73560), -0x1b9f, + absl::MakeInt128(0xb9157556d724, 0xb14f635714d7563e), -0x1ade}, + }; + for (const DivisionModCase test_case : manual_cases) { + EXPECT_EQ(test_case.quotient, test_case.dividend / test_case.divisor); + EXPECT_EQ(test_case.quotient, + absl::int128(test_case.dividend) /= test_case.divisor); + EXPECT_EQ(test_case.remainder, test_case.dividend % test_case.divisor); + EXPECT_EQ(test_case.remainder, + absl::int128(test_case.dividend) %= test_case.divisor); + } +} + +TEST(Int128, BitwiseLogicTest) { + EXPECT_EQ(absl::int128(-1), ~absl::int128(0)); + + absl::int128 values[]{ + 0, -1, 0xde400bee05c3ff6b, absl::MakeInt128(0x7f32178dd81d634a, 0), + absl::MakeInt128(0xaf539057055613a9, 0x7d104d7d946c2e4d)}; + for (absl::int128 value : values) { + EXPECT_EQ(value, ~~value); + + EXPECT_EQ(value, value | value); + EXPECT_EQ(value, value & value); + EXPECT_EQ(0, value ^ value); + + EXPECT_EQ(value, absl::int128(value) |= value); + EXPECT_EQ(value, absl::int128(value) &= value); + EXPECT_EQ(0, absl::int128(value) ^= value); + + EXPECT_EQ(value, value | 0); + EXPECT_EQ(0, value & 0); + EXPECT_EQ(value, value ^ 0); + + EXPECT_EQ(absl::int128(-1), value | absl::int128(-1)); + EXPECT_EQ(value, value & absl::int128(-1)); + EXPECT_EQ(~value, value ^ absl::int128(-1)); + } + + // small sample of randomly generated int64_t's + std::pair<int64_t, int64_t> pairs64[]{ + {0x7f86797f5e991af4, 0x1ee30494fb007c97}, + {0x0b278282bacf01af, 0x58780e0a57a49e86}, + {0x059f266ccb93a666, 0x3d5b731bae9286f5}, + {0x63c0c4820f12108c, 0x58166713c12e1c3a}, + {0x381488bb2ed2a66e, 0x2220a3eb76a3698c}, + {0x2a0a0dfb81e06f21, 0x4b60585927f5523c}, + {0x555b1c3a03698537, 0x25478cd19d8e53cb}, + {0x4750f6f27d779225, 0x16397553c6ff05fc}, + }; + for (const std::pair<int64_t, int64_t>& pair : pairs64) { + SCOPED_TRACE(::testing::Message() + << "pair = {" << pair.first << ", " << pair.second << '}'); + + EXPECT_EQ(absl::MakeInt128(~pair.first, ~pair.second), + ~absl::MakeInt128(pair.first, pair.second)); + + EXPECT_EQ(absl::int128(pair.first & pair.second), + absl::int128(pair.first) & absl::int128(pair.second)); + EXPECT_EQ(absl::int128(pair.first | pair.second), + absl::int128(pair.first) | absl::int128(pair.second)); + EXPECT_EQ(absl::int128(pair.first ^ pair.second), + absl::int128(pair.first) ^ absl::int128(pair.second)); + + EXPECT_EQ(absl::int128(pair.first & pair.second), + absl::int128(pair.first) &= absl::int128(pair.second)); + EXPECT_EQ(absl::int128(pair.first | pair.second), + absl::int128(pair.first) |= absl::int128(pair.second)); + EXPECT_EQ(absl::int128(pair.first ^ pair.second), + absl::int128(pair.first) ^= absl::int128(pair.second)); + + EXPECT_EQ( + absl::MakeInt128(pair.first & pair.second, 0), + absl::MakeInt128(pair.first, 0) & absl::MakeInt128(pair.second, 0)); + EXPECT_EQ( + absl::MakeInt128(pair.first | pair.second, 0), + absl::MakeInt128(pair.first, 0) | absl::MakeInt128(pair.second, 0)); + EXPECT_EQ( + absl::MakeInt128(pair.first ^ pair.second, 0), + absl::MakeInt128(pair.first, 0) ^ absl::MakeInt128(pair.second, 0)); + + EXPECT_EQ( + absl::MakeInt128(pair.first & pair.second, 0), + absl::MakeInt128(pair.first, 0) &= absl::MakeInt128(pair.second, 0)); + EXPECT_EQ( + absl::MakeInt128(pair.first | pair.second, 0), + absl::MakeInt128(pair.first, 0) |= absl::MakeInt128(pair.second, 0)); + EXPECT_EQ( + absl::MakeInt128(pair.first ^ pair.second, 0), + absl::MakeInt128(pair.first, 0) ^= absl::MakeInt128(pair.second, 0)); + } +} + +TEST(Int128, BitwiseShiftTest) { + for (int i = 0; i < 64; ++i) { + for (int j = 0; j <= i; ++j) { + // Left shift from j-th bit to i-th bit. + SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j); + EXPECT_EQ(uint64_t{1} << i, absl::int128(uint64_t{1} << j) << (i - j)); + EXPECT_EQ(uint64_t{1} << i, absl::int128(uint64_t{1} << j) <<= (i - j)); + } + } + for (int i = 0; i < 63; ++i) { + for (int j = 0; j < 64; ++j) { + // Left shift from j-th bit to (i + 64)-th bit. + SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j); + EXPECT_EQ(absl::MakeInt128(uint64_t{1} << i, 0), + absl::int128(uint64_t{1} << j) << (i + 64 - j)); + EXPECT_EQ(absl::MakeInt128(uint64_t{1} << i, 0), + absl::int128(uint64_t{1} << j) <<= (i + 64 - j)); + } + for (int j = 0; j <= i; ++j) { + // Left shift from (j + 64)-th bit to (i + 64)-th bit. + SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j); + EXPECT_EQ(absl::MakeInt128(uint64_t{1} << i, 0), + absl::MakeInt128(uint64_t{1} << j, 0) << (i - j)); + EXPECT_EQ(absl::MakeInt128(uint64_t{1} << i, 0), + absl::MakeInt128(uint64_t{1} << j, 0) <<= (i - j)); + } + } + + for (int i = 0; i < 64; ++i) { + for (int j = i; j < 64; ++j) { + // Right shift from j-th bit to i-th bit. + SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j); + EXPECT_EQ(uint64_t{1} << i, absl::int128(uint64_t{1} << j) >> (j - i)); + EXPECT_EQ(uint64_t{1} << i, absl::int128(uint64_t{1} << j) >>= (j - i)); + } + for (int j = 0; j < 63; ++j) { + // Right shift from (j + 64)-th bit to i-th bit. + SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j); + EXPECT_EQ(uint64_t{1} << i, + absl::MakeInt128(uint64_t{1} << j, 0) >> (j + 64 - i)); + EXPECT_EQ(uint64_t{1} << i, + absl::MakeInt128(uint64_t{1} << j, 0) >>= (j + 64 - i)); + } + } + for (int i = 0; i < 63; ++i) { + for (int j = i; j < 63; ++j) { + // Right shift from (j + 64)-th bit to (i + 64)-th bit. + SCOPED_TRACE(::testing::Message() << "i = " << i << "; j = " << j); + EXPECT_EQ(absl::MakeInt128(uint64_t{1} << i, 0), + absl::MakeInt128(uint64_t{1} << j, 0) >> (j - i)); + EXPECT_EQ(absl::MakeInt128(uint64_t{1} << i, 0), + absl::MakeInt128(uint64_t{1} << j, 0) >>= (j - i)); + } + } +} + +TEST(Int128, NumericLimitsTest) { + static_assert(std::numeric_limits<absl::int128>::is_specialized, ""); + static_assert(std::numeric_limits<absl::int128>::is_signed, ""); + static_assert(std::numeric_limits<absl::int128>::is_integer, ""); + EXPECT_EQ(static_cast<int>(127 * std::log10(2)), + std::numeric_limits<absl::int128>::digits10); + EXPECT_EQ(absl::Int128Min(), std::numeric_limits<absl::int128>::min()); + EXPECT_EQ(absl::Int128Min(), std::numeric_limits<absl::int128>::lowest()); + EXPECT_EQ(absl::Int128Max(), std::numeric_limits<absl::int128>::max()); +} + } // namespace |