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authorGravatar Abseil Team <absl-team@google.com>2019-11-18 11:02:26 -0800
committerGravatar Gennadiy Civil <misterg@google.com>2019-11-19 10:27:57 -0500
commit2103fd9acdf58279f739860bff3f8c9f4b845605 (patch)
tree8eee8ff910c004b517eb02c79feac753fe19126e /absl/numeric
parent3df7b52a6ada51a72a23796b844549a7b282f1b8 (diff)
Export of internal Abseil changes
-- d447fdcb801036cf08197eece193a5a706661120 by Gennadiy Rozental <rogeeff@google.com>: Eliminate the need for static function holding help message. This decreases the cost of ABSL_FLAG abstraction by 120 bytes under clang. PiperOrigin-RevId: 281107806 -- 0aa6b91189f0e8b2381438c33465673a7ae02487 by Derek Mauro <dmauro@google.com>: Disable the weak symbol CCTZ extension in the time test_util on MinGW, which does not support it. PiperOrigin-RevId: 280719769 -- 67322c41c3e776eb541de90fa4526bdb49422eb6 by Abseil Team <absl-team@google.com>: Tune PeriodicSampler implementation (for internal-use only) PiperOrigin-RevId: 280708943 -- 3a48c346340c7ed03816645cd327e1ff07729aa4 by Abseil Team <absl-team@google.com>: Clean up public headers not to have warnings for "-Wcomma" PiperOrigin-RevId: 280695373 -- 981acd1ef3b13a83a84f04f11c8931f4ed4451c9 by Matthew Brown <matthewbr@google.com>: Release absl::int128. PiperOrigin-RevId: 280690817 -- d30fae9d2ec30b81322d2eb5afe7e13e45b4b422 by Derek Mauro <dmauro@google.com>: Fix -Wundef warnings in random platform detection PiperOrigin-RevId: 280669598 GitOrigin-RevId: d447fdcb801036cf08197eece193a5a706661120 Change-Id: Ie5e10e567c54b7de211833607689f233d4ddf734
Diffstat (limited to 'absl/numeric')
-rw-r--r--absl/numeric/int128.cc129
-rw-r--r--absl/numeric/int128.h363
-rw-r--r--absl/numeric/int128_have_intrinsic.inc284
-rw-r--r--absl/numeric/int128_no_intrinsic.inc290
-rw-r--r--absl/numeric/int128_stream_test.cc729
-rw-r--r--absl/numeric/int128_test.cc743
6 files changed, 2533 insertions, 5 deletions
diff --git a/absl/numeric/int128.cc b/absl/numeric/int128.cc
index 93b62c52..1eba09de 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),
+ &quotient, &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),
+ &quotient, &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 4f965686..50617612 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 c7ea6834..d6c76dd3 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 046cb9b3..c753771a 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 3cfa9dc1..479ad66c 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"},
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+ {-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 5e1b5ec3..bc86c714 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