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Diffstat (limited to 'UnknownVersion/include/EABase/int128.h')
| -rw-r--r-- | UnknownVersion/include/EABase/int128.h | 1268 |
1 files changed, 1268 insertions, 0 deletions
diff --git a/UnknownVersion/include/EABase/int128.h b/UnknownVersion/include/EABase/int128.h new file mode 100644 index 0000000..62e2bc5 --- /dev/null +++ b/UnknownVersion/include/EABase/int128.h @@ -0,0 +1,1268 @@ +/*----------------------------------------------------------------------------- + * eaint128_t.h + * + * Copyright (c) Electronic Arts Inc. All rights reserved. + *---------------------------------------------------------------------------*/ + + +#ifndef INCLUDED_int128_h +#define INCLUDED_int128_h + + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// EA_INT128_INTRINSIC_AVAILABLE +// +#if (EA_COMPILER_INTMAX_SIZE >= 16) && (defined(EA_COMPILER_GNUC) || defined(EA_COMPILER_CLANG)) +// __int128_t/__uint128_t is supported +#define EA_INT128_INTRINSIC_AVAILABLE 1 +#else +#define EA_INT128_INTRINSIC_AVAILABLE 0 +#endif + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// EA_INT128_ALIGNAS +// +#if EA_INT128_INTRINSIC_AVAILABLE && !defined(EA_COMPILER_NO_ALIGNAS) +#define EA_INT128_ALIGNAS alignas(unsigned __int128) +#else +#define EA_INT128_ALIGNAS +#endif + + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// EA_HAVE_INT128 +// +// Indicates that EABase implements 128-bit integer types +// +#define EA_HAVE_INT128 1 + + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// uint128_t_base +// +struct EA_INT128_ALIGNAS int128_t_base +{ + // Constructors / destructors + int128_t_base() = default; + int128_t_base(uint32_t nPart0, uint32_t nPart1, uint32_t nPart2, uint32_t nPart3); + int128_t_base(uint64_t nPart0, uint64_t nPart1); + int128_t_base(uint8_t value); + int128_t_base(uint16_t value); + int128_t_base(uint32_t value); + int128_t_base(uint64_t value); + int128_t_base(const int128_t_base& value) = default; + + // Assignment operator + int128_t_base& operator=(const int128_t_base& value) = default; + + // Explicit operators to convert back to basic types + EA_CONSTEXPR explicit operator bool() const; + EA_CONSTEXPR explicit operator char() const; + EA_CONSTEXPR explicit operator int() const; + EA_CONSTEXPR explicit operator long() const; + EA_CONSTEXPR explicit operator long long() const; + EA_CONSTEXPR explicit operator short() const; + EA_CONSTEXPR explicit operator signed char() const; + EA_CONSTEXPR explicit operator unsigned char() const; + EA_CONSTEXPR explicit operator unsigned int() const; + EA_CONSTEXPR explicit operator unsigned long long() const; + EA_CONSTEXPR explicit operator unsigned long() const; + EA_CONSTEXPR explicit operator unsigned short() const; +#if EA_WCHAR_UNIQUE + // EA_CONSTEXPR explicit operator char16_t() const; + // EA_CONSTEXPR explicit operator char32_t() const; + // EA_CONSTEXPR explicit operator wchar_t() const; +#endif + EA_CONSTEXPR explicit operator float() const; + EA_CONSTEXPR explicit operator double() const; + EA_CONSTEXPR explicit operator long double() const; +#if EA_INT128_INTRINSIC_AVAILABLE + EA_CONSTEXPR explicit operator __int128() const; + EA_CONSTEXPR explicit operator unsigned __int128() const; +#endif + + // Math operators + static void OperatorPlus (const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result); + static void OperatorMinus(const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result); + static void OperatorMul (const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result); + + // Shift operators + static void OperatorShiftRight(const int128_t_base& value, int nShift, int128_t_base& result); + static void OperatorShiftLeft (const int128_t_base& value, int nShift, int128_t_base& result); + + // Unary arithmetic/logic operators + bool operator!() const; + + // Logical operators + static void OperatorXOR(const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result); + static void OperatorOR (const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result); + static void OperatorAND(const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result); + + bool IsZero() const; + void SetZero(); + void TwosComplement(); + void InverseTwosComplement(); + + int GetBit(int nIndex) const; + void SetBit(int nIndex, int value); + +protected: + void DoubleToUint128(double value); + + EA_CONSTEXPR uint64_t Low() const + { + return mPart0; + } + + EA_CONSTEXPR uint64_t High() const + { + return mPart1; + } + +protected: +#ifdef EA_SYSTEM_BIG_ENDIAN + uint64_t mPart1; // Most significant byte. + uint64_t mPart0; // Least significant byte. +#else + uint64_t mPart0; // Most significant byte. + uint64_t mPart1; // Least significant byte. +#endif +}; + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// int128_t +// +// Implements signed 128 bit integer. +// +struct int128_t : public int128_t_base +{ + // Constructors / destructors + using int128_t_base::int128_t_base; + + // Assignment operator + using int128_t_base::operator=; + + // Unary arithmetic/logic operators + int128_t operator-() const; + int128_t& operator++(); + int128_t& operator--(); + int128_t operator++(int); + int128_t operator--(int); + int128_t operator~() const; + int128_t operator+() const; + + // Math operators + int128_t operator+ (const int128_t& other); + int128_t operator- (const int128_t& other); + int128_t operator* (const int128_t& other); + int128_t operator/ (const int128_t& other); + int128_t operator% (const int128_t& other); + int128_t& operator+=(const int128_t& other); + int128_t& operator-=(const int128_t& other); + int128_t& operator*=(const int128_t& other); + int128_t& operator/=(const int128_t& other); + int128_t& operator%=(const int128_t& other); + + // Shift operators + int128_t operator>> (int nShift) const; + int128_t operator<< (int nShift) const; + int128_t& operator>>=(int nShift); + int128_t& operator<<=(int nShift); + + // Logical operators + int128_t operator^ (const int128_t& other) const; + int128_t operator| (const int128_t& other) const; + int128_t operator& (const int128_t& other) const; + int128_t& operator^=(const int128_t& other); + int128_t& operator|=(const int128_t& other); + int128_t& operator&=(const int128_t& other); + + // Equality operators + bool operator==(const int128_t& other) const; + bool operator!=(const int128_t& other) const; + bool operator> (const int128_t& other) const; + bool operator>=(const int128_t& other) const; + bool operator< (const int128_t& other) const; + bool operator<=(const int128_t& other) const; + +protected: + int compare(const int128_t& other) const; + void Negate(); + void Modulus(const int128_t& divisor, int128_t& quotient, int128_t& remainder) const; + bool IsNegative() const; // Returns true for value < 0 + bool IsPositive() const; // Returns true for value >= 0 +}; + + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// uint128_t +// +// Implements unsigned 128 bit integer. +// +struct uint128_t : public int128_t_base +{ + // Constructors / destructors + using int128_t_base::int128_t_base; + + // Assignment operator + using int128_t_base::operator=; + + // Unary arithmetic/logic operators + uint128_t operator-() const; + uint128_t& operator++(); + uint128_t& operator--(); + uint128_t operator++(int); + uint128_t operator--(int); + uint128_t operator~() const; + uint128_t operator+() const; + + // Math operators + uint128_t operator+ (const uint128_t& other); + uint128_t operator- (const uint128_t& other); + uint128_t operator* (const uint128_t& other); + uint128_t operator/ (const uint128_t& other); + uint128_t operator% (const uint128_t& other); + uint128_t& operator+=(const uint128_t& other); + uint128_t& operator-=(const uint128_t& other); + uint128_t& operator*=(const uint128_t& other); + uint128_t& operator/=(const uint128_t& other); + uint128_t& operator%=(const uint128_t& other); + + // Shift operators + uint128_t operator>> (int nShift) const; + uint128_t operator<< (int nShift) const; + uint128_t& operator>>=(int nShift); + uint128_t& operator<<=(int nShift); + + // Logical operators + uint128_t operator^ (const uint128_t& other) const; + uint128_t operator| (const uint128_t& other) const; + uint128_t operator& (const uint128_t& other) const; + uint128_t& operator^=(const uint128_t& other); + uint128_t& operator|=(const uint128_t& other); + uint128_t& operator&=(const uint128_t& other); + + // Equality operators + bool operator==(const uint128_t& other) const; + bool operator!=(const uint128_t& other) const; + bool operator> (const uint128_t& other) const; + bool operator>=(const uint128_t& other) const; + bool operator< (const uint128_t& other) const; + bool operator<=(const uint128_t& other) const; + +protected: + int compare(const uint128_t& other) const; + void Negate(); + void Modulus(const uint128_t& divisor, uint128_t& quotient, uint128_t& remainder) const; + bool IsNegative() const; // Returns true for value < 0 + bool IsPositive() const; // Returns true for value >= 0 +}; + + + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// uint128_t_base implementation +/////////////////////////////////////////////////////////////////////////////////////////////////////// +EA_CONSTEXPR inline int128_t_base::operator bool() const { return mPart0 || mPart1; } +EA_CONSTEXPR inline int128_t_base::operator char() const { return static_cast<char>(Low()); } +#if EA_WCHAR_UNIQUE +// EA_CONSTEXPR inline int128_t_base::operator char16_t() const { return static_cast<char16_t>(Low()); } +// EA_CONSTEXPR inline int128_t_base::operator char32_t() const { return static_cast<char32_t>(Low()); } +// EA_CONSTEXPR inline int128_t_base::operator wchar_t() const { return static_cast<wchar_t>(Low()); } +#endif +EA_CONSTEXPR inline int128_t_base::operator int() const { return static_cast<int>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator long() const { return static_cast<long>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator long long() const { return static_cast<long long>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator short() const { return static_cast<short>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator signed char() const { return static_cast<signed char>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator unsigned char() const { return static_cast<unsigned char>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator unsigned int() const { return static_cast<unsigned int>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator unsigned long long() const { return static_cast<unsigned long long>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator unsigned long() const { return static_cast<unsigned long>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator unsigned short() const { return static_cast<unsigned short>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator float() const { return static_cast<float>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator double() const { return static_cast<double>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator long double() const { return static_cast<long double>(Low()); } +#if EA_INT128_INTRINSIC_AVAILABLE +EA_CONSTEXPR inline int128_t_base::operator __int128() const { return static_cast<__int128>(Low()); } +EA_CONSTEXPR inline int128_t_base::operator unsigned __int128() const { return static_cast<unsigned __int128>(Low()); } +#endif + +inline void int128_t_base::SetBit(int nIndex, int value) +{ + // EA_ASSERT((nIndex >= 0) && (nIndex < 128)); + + const uint64_t nBitMask = ((uint64_t)1 << (nIndex % 64)); + + if(nIndex < 64) + { + if(value) + mPart0 = mPart0 | nBitMask; + else + mPart0 = mPart0 & ~nBitMask; + } + else if(nIndex < 128) + { + if(value) + mPart1 = mPart1 | nBitMask; + else + mPart1 = mPart1 & ~nBitMask; + } +} + +inline int int128_t_base::GetBit(int nIndex) const +{ + // EA_ASSERT((nIndex >= 0) && (nIndex < 128)); + + const uint64_t nBitMask = ((uint64_t)1 << (nIndex % 64)); + + if(nIndex < 64) + return ((mPart0 & nBitMask) ? 1 : 0); + else if(nIndex < 128) + return ((mPart1 & nBitMask) ? 1 : 0); + return 0; +} + +inline int128_t_base::int128_t_base(uint32_t nPart0, uint32_t nPart1, uint32_t nPart2, uint32_t nPart3) +{ + mPart1 = ((uint64_t)nPart3 << 32) + nPart2; + mPart0 = ((uint64_t)nPart1 << 32) + nPart0; +} + +inline int128_t_base::int128_t_base(uint64_t nPart0, uint64_t nPart1) +{ + mPart1 = nPart1; + mPart0 = nPart0; +} + +inline int128_t_base::int128_t_base(uint8_t value) +{ + mPart1 = 0; + mPart0 = value; +} + +inline int128_t_base::int128_t_base(uint16_t value) +{ + mPart1 = 0; + mPart0 = value; +} + +inline int128_t_base::int128_t_base(uint32_t value) +{ + mPart1 = 0; + mPart0 = value; +} + +inline int128_t_base::int128_t_base(uint64_t value) +{ + mPart1 = 0; + mPart0 = value; +} + +/////////////////////////////////////////////////////////////////////////////// +// OperatorPlus +// +// Returns: (value1 + value2) into result. +// The output 'result' *is* allowed to point to the same memory as one of the inputs. +// To consider: Fix 'defect' of this function whereby it doesn't implement overflow wraparound. +// +inline void int128_t_base::OperatorPlus(const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result) +{ + uint64_t t = value1.mPart0 + value2.mPart0; + uint64_t nCarry = (t < value1.mPart0) && (t < value2.mPart0); + result.mPart0 = t; + result.mPart1 = value1.mPart1 + value2.mPart1 + nCarry; +} + +/////////////////////////////////////////////////////////////////////////////// +// OperatorMinus +// +// Returns: (value1 - value2) into result. +// The output 'result' *is* allowed to point to the same memory as one of the inputs. +// To consider: Fix 'defect' of this function whereby it doesn't implement overflow wraparound. +// +inline void int128_t_base::OperatorMinus(const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result) +{ + uint64_t t = (value1.mPart0 - value2.mPart0); + uint64_t nCarry = (value1.mPart0 < value2.mPart0) ? 1u : 0u; + result.mPart0 = t; + result.mPart1 = (value1.mPart1 - value2.mPart1) - nCarry; +} + +/////////////////////////////////////////////////////////////////////////////// +// OperatorMul +// +// 64 bit systems: +// This is how it would be able to work if we could get a 128 bit result from +// two 64 bit values. None of the 64 bit systems that we are currently working +// with have C language support for multiplying two 64 bit numbers and retrieving +// the 128 bit result. However, many 64 bit platforms have support at the asm +// level for doing such a thing. +// Part 1 Part 0 +// 0000000000000002 0000000000000001 +// x 0000000000000002 0000000000000001 +// ------------------------------------------- +// | 0000000000000002 0000000000000001 +// + 0000000000000004 | 0000000000000002 (0000000000000000) +// ------------------------------------------------------------------------- +// +inline void int128_t_base::OperatorMul(const int128_t_base& a, const int128_t_base& b, int128_t_base& result) +{ + // To consider: Use compiler or OS-provided custom functionality here, such as + // Windows UnsignedMultiply128 and GCC's built-in int128_t. + +#if defined(DISABLED_PLATFORM_WIN64) + // To do: Implement x86-64 asm here. + +#else + // Else we are stuck doing something less efficient. In this case we + // fall back to doing 32 bit multiplies as with 32 bit platforms. + result = (a.mPart0 & 0xffffffff) * (b.mPart0 & 0xffffffff); + int128_t v01 = (a.mPart0 & 0xffffffff) * ((b.mPart0 >> 32) & 0xffffffff); + int128_t v02 = (a.mPart0 & 0xffffffff) * (b.mPart1 & 0xffffffff); + int128_t v03 = (a.mPart0 & 0xffffffff) * ((b.mPart1 >> 32) & 0xffffffff); + + int128_t v10 = ((a.mPart0 >> 32) & 0xffffffff) * (b.mPart0 & 0xffffffff); + int128_t v11 = ((a.mPart0 >> 32) & 0xffffffff) * ((b.mPart0 >> 32) & 0xffffffff); + int128_t v12 = ((a.mPart0 >> 32) & 0xffffffff) * (b.mPart1 & 0xffffffff); + + int128_t v20 = (a.mPart1 & 0xffffffff) * (b.mPart0 & 0xffffffff); + int128_t v21 = (a.mPart1 & 0xffffffff) * ((b.mPart0 >> 32) & 0xffffffff); + + int128_t v30 = ((a.mPart1 >> 32) & 0xffffffff) * (b.mPart0 & 0xffffffff); + + // Do row addition, shifting as needed. + OperatorPlus(result, v01 << 32, result); + OperatorPlus(result, v02 << 64, result); + OperatorPlus(result, v03 << 96, result); + + OperatorPlus(result, v10 << 32, result); + OperatorPlus(result, v11 << 64, result); + OperatorPlus(result, v12 << 96, result); + + OperatorPlus(result, v20 << 64, result); + OperatorPlus(result, v21 << 96, result); + + OperatorPlus(result, v30 << 96, result); +#endif +} + +/////////////////////////////////////////////////////////////////////////////// +// OperatorShiftRight +// +// Returns: value >> nShift into result +// The output 'result' may *not* be the same as one the input. +// With rightward shifts of negative numbers, shift in zero from the left side. +// +inline void int128_t_base::OperatorShiftRight(const int128_t_base& value, int nShift, int128_t_base& result) +{ + if(nShift >= 0) + { + if(nShift < 64) + { // 0 - 63 + result.mPart1 = (value.mPart1 >> nShift); + + if(nShift == 0) + result.mPart0 = (value.mPart0 >> nShift); + else + result.mPart0 = (value.mPart0 >> nShift) | (value.mPart1 << (64 - nShift)); + } + else + { // 64+ + result.mPart1 = 0; + result.mPart0 = (value.mPart1 >> (nShift - 64)); + } + } + else // (nShift < 0) + OperatorShiftLeft(value, -nShift, result); +} + + +/////////////////////////////////////////////////////////////////////////////// +// OperatorShiftRight +// +// Returns: value << nShift into result +// The output 'result' may *not* be the same as one the input. +// With rightward shifts of negative numbers, shift in zero from the left side. +// +inline void int128_t_base::OperatorShiftLeft(const int128_t_base& value, int nShift, int128_t_base& result) +{ + if(nShift >= 0) + { + if(nShift < 64) + { + if(nShift) // We need to have a special case because CPUs convert a shift by 64 to a no-op. + { + // 1 - 63 + result.mPart0 = (value.mPart0 << nShift); + result.mPart1 = (value.mPart1 << nShift) | (value.mPart0 >> (64 - nShift)); + } + else + { + result.mPart0 = value.mPart0; + result.mPart1 = value.mPart1; + } + } + else + { // 64+ + result.mPart0 = 0; + result.mPart1 = (value.mPart0 << (nShift - 64)); + } + } + else // (nShift < 0) + OperatorShiftRight(value, -nShift, result); +} + + +inline bool int128_t_base::operator!() const +{ + return (mPart0 == 0) && (mPart1 == 0); +} + + +/////////////////////////////////////////////////////////////////////////////// +// OperatorXOR +// +// Returns: value1 ^ value2 into result +// The output 'result' may be the same as one the input. +// +inline void int128_t_base::OperatorXOR(const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result) +{ + result.mPart0 = (value1.mPart0 ^ value2.mPart0); + result.mPart1 = (value1.mPart1 ^ value2.mPart1); +} + + +/////////////////////////////////////////////////////////////////////////////// +// OperatorOR +// +// Returns: value1 | value2 into result +// The output 'result' may be the same as one the input. +// +inline void int128_t_base::OperatorOR(const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result) +{ + result.mPart0 = (value1.mPart0 | value2.mPart0); + result.mPart1 = (value1.mPart1 | value2.mPart1); +} + + +/////////////////////////////////////////////////////////////////////////////// +// OperatorAND +// +// Returns: value1 & value2 into result +// The output 'result' may be the same as one the input. +// +inline void int128_t_base::OperatorAND(const int128_t_base& value1, const int128_t_base& value2, int128_t_base& result) +{ + result.mPart0 = (value1.mPart0 & value2.mPart0); + result.mPart1 = (value1.mPart1 & value2.mPart1); +} + + +inline bool int128_t_base::IsZero() const +{ + return (mPart0 == 0) && // Check mPart0 first as this will likely yield faster execution. + (mPart1 == 0); +} + + +inline void int128_t_base::SetZero() +{ + mPart1 = 0; + mPart0 = 0; +} + + +inline void int128_t_base::TwosComplement() +{ + mPart1 = ~mPart1; + mPart0 = ~mPart0; + + // What we want to do, but isn't available at this level: + // operator++(); + // Alternative: + int128_t_base one((uint32_t)1); + OperatorPlus(*this, one, *this); +} + + +inline void int128_t_base::InverseTwosComplement() +{ + // What we want to do, but isn't available at this level: + // operator--(); + // Alternative: + int128_t_base one((uint32_t)1); + OperatorMinus(*this, one, *this); + + mPart1 = ~mPart1; + mPart0 = ~mPart0; +} + + +inline void int128_t_base::DoubleToUint128(double value) +{ + // Currently this function is limited to 64 bits of integer input. + // We need to make a better version of this function. Perhaps we should implement + // it via dissecting the IEEE floating point format (sign, exponent, matissa). + // EA_ASSERT(fabs(value) < 18446744073709551616.0); // Assert that the input is <= 64 bits of integer. + + mPart1 = 0; + mPart0 = (value >= 0 ? (uint64_t)value : (uint64_t)-value); +} + + + + + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// uint128_t implementation +/////////////////////////////////////////////////////////////////////////////////////////////////////// + +inline uint128_t uint128_t::operator^(const uint128_t& other) const +{ + uint128_t temp; + uint128_t::OperatorXOR(*this, other, temp); + return temp; +} + +inline uint128_t uint128_t::operator|(const uint128_t& other) const +{ + uint128_t temp; + uint128_t::OperatorOR(*this, other, temp); + return temp; +} + +inline uint128_t uint128_t::operator&(const uint128_t& other) const +{ + uint128_t temp; + uint128_t::OperatorAND(*this, other, temp); + return temp; +} + +inline uint128_t& uint128_t::operator^=(const uint128_t& value) +{ + OperatorXOR(*this, value, *this); + return *this; +} + +inline uint128_t& uint128_t::operator|=(const uint128_t& value) +{ + OperatorOR(*this, value, *this); + return *this; +} + +inline uint128_t& uint128_t::operator&=(const uint128_t& value) +{ + OperatorAND(*this, value, *this); + return *this; +} + +// With rightward shifts of negative numbers, shift in zero from the left side. +inline uint128_t uint128_t::operator>>(int nShift) const +{ + uint128_t temp; + OperatorShiftRight(*this, nShift, temp); + return temp; +} + +// With rightward shifts of negative numbers, shift in zero from the left side. +inline uint128_t uint128_t::operator<<(int nShift) const +{ + uint128_t temp; + OperatorShiftLeft(*this, nShift, temp); + return temp; +} + +inline uint128_t& uint128_t::operator>>=(int nShift) +{ + uint128_t temp; + OperatorShiftRight(*this, nShift, temp); + *this = temp; + return *this; +} + +inline uint128_t& uint128_t::operator<<=(int nShift) +{ + uint128_t temp; + OperatorShiftLeft(*this, nShift, temp); + *this = temp; + return *this; +} + +inline uint128_t& uint128_t::operator+=(const uint128_t& value) +{ + OperatorPlus(*this, value, *this); + return *this; +} + +inline uint128_t& uint128_t::operator-=(const uint128_t& value) +{ + OperatorMinus(*this, value, *this); + return *this; +} + +inline uint128_t& uint128_t::operator*=(const uint128_t& value) +{ + *this = *this * value; + return *this; +} + +inline uint128_t& uint128_t::operator/=(const uint128_t& value) +{ + *this = *this / value; + return *this; +} + +inline uint128_t& uint128_t::operator%=(const uint128_t& value) +{ + *this = *this % value; + return *this; +} + +inline uint128_t uint128_t::operator+(const uint128_t& other) +{ + uint128_t temp; + uint128_t::OperatorPlus(*this, other, temp); + return temp; +} + +inline uint128_t uint128_t::operator-(const uint128_t& other) +{ + uint128_t temp; + uint128_t::OperatorMinus(*this, other, temp); + return temp; +} + +inline uint128_t uint128_t::operator*(const uint128_t& other) +{ + uint128_t returnValue; + int128_t_base::OperatorMul(*this, other, returnValue); + return returnValue; +} + +inline uint128_t uint128_t::operator/(const uint128_t& other) +{ + uint128_t remainder; + uint128_t quotient; + this->Modulus(other, quotient, remainder); + return quotient; +} + +inline uint128_t uint128_t::operator%(const uint128_t& other) +{ + uint128_t remainder; + uint128_t quotient; + this->Modulus(other, quotient, remainder); + return remainder; +} + +inline uint128_t uint128_t::operator+() const +{ + return *this; +} + +inline uint128_t uint128_t::operator~() const +{ + return uint128_t(~mPart0, ~mPart1); +} + +inline uint128_t& uint128_t::operator--() +{ + int128_t_base one((uint32_t)1); + OperatorMinus(*this, one, *this); + return *this; +} + +inline uint128_t uint128_t::operator--(int) +{ + uint128_t temp((uint32_t)1); + OperatorMinus(*this, temp, temp); + return temp; +} + +inline uint128_t uint128_t::operator++(int) +{ + uint128_t prev = *this; + uint128_t temp((uint32_t)1); + OperatorPlus(*this, temp, *this); + return prev; +} + +inline uint128_t& uint128_t::operator++() +{ + int128_t_base one((uint32_t)1); + OperatorPlus(*this, one, *this); + return *this; +} + +inline void uint128_t::Negate() +{ + TwosComplement(); +} + +inline uint128_t uint128_t::operator-() const +{ + uint128_t returnValue(*this); + returnValue.Negate(); + return returnValue; +} + +// This function forms the basis of all logical comparison functions. +// If value1 < value2, the return value is -1. +// If value1 == value2, the return value is 0. +// If value1 > value2, the return value is 1. +inline int uint128_t::compare(const uint128_t& other) const +{ + // Compare individual parts. At this point, the two numbers have the same sign. + if(mPart1 == other.mPart1) + { + if(mPart0 == other.mPart0) + return 0; + else if(mPart0 > other.mPart0) + return 1; + // return -1; //Just fall through to the end. + } + else if(mPart1 > other.mPart1) + return 1; + return -1; +} + +EA_DISABLE_VC_WARNING(4723) // warning C4723: potential divide by 0 +inline void uint128_t::Modulus(const uint128_t& divisor, uint128_t& quotient, uint128_t& remainder) const +{ + uint128_t tempDividend(*this); + uint128_t tempDivisor(divisor); + + if(tempDivisor.IsZero()) + { + // Force a divide by zero exception. + // We know that tempDivisor.mPart0 is zero. + quotient.mPart0 /= tempDivisor.mPart0; + } + else if(tempDividend.IsZero()) + { + quotient = uint128_t((uint32_t)0); + remainder = uint128_t((uint32_t)0); + } + else + { + remainder.SetZero(); + + for(int i(0); i < 128; i++) + { + remainder += (uint32_t)tempDividend.GetBit(127 - i); + const bool bBit(remainder >= tempDivisor); + quotient.SetBit(127 - i, bBit); + + if(bBit) + remainder -= tempDivisor; + + if((i != 127) && !remainder.IsZero()) + remainder <<= 1; + } + } +} +EA_RESTORE_VC_WARNING() + +inline bool uint128_t::operator==(const uint128_t& other) const +{ + return (mPart0 == other.mPart0) && // Check mPart0 first as this will likely yield faster execution. + (mPart1 == other.mPart1); +} + +inline bool uint128_t::operator< (const uint128_t& other) const { return (compare(other) < 0); } +inline bool uint128_t::operator!=(const uint128_t& other) const { return !(*this == other); } +inline bool uint128_t::operator> (const uint128_t& other) const { return other < *this; } +inline bool uint128_t::operator>=(const uint128_t& other) const { return !(*this < other); } +inline bool uint128_t::operator<=(const uint128_t& other) const { return !(other < *this); } + +inline bool uint128_t::IsNegative() const +{ // True if value < 0 + return false; +} + +inline bool uint128_t::IsPositive() const +{ + // True of value >= 0 + return true; +} + + + + + + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// int128_t implementation +/////////////////////////////////////////////////////////////////////////////////////////////////////// + +inline void int128_t::Negate() +{ + if (IsPositive()) + TwosComplement(); + else + InverseTwosComplement(); +} + +inline int128_t int128_t::operator-() const +{ + int128_t returnValue(*this); + returnValue.Negate(); + return returnValue; +} + +inline int128_t& int128_t::operator++() +{ + int128_t_base one((uint32_t)1); + OperatorPlus(*this, one, *this); + return *this; +} + +inline int128_t& int128_t::operator--() +{ + int128_t_base one((uint32_t)1); + OperatorMinus(*this, one, *this); + return *this; +} + +inline int128_t int128_t::operator++(int) +{ + int128_t prev = *this; + int128_t temp((uint32_t)1); + OperatorPlus(*this, temp, *this); + return prev; +} + +inline int128_t int128_t::operator--(int) +{ + int128_t temp((uint32_t)1); + OperatorMinus(*this, temp, temp); + return temp; +} + +inline int128_t int128_t::operator+() const +{ + return *this; +} + +inline int128_t int128_t::operator~() const +{ + return int128_t(~mPart0, ~mPart1); +} + +inline int128_t int128_t::operator+(const int128_t& other) +{ + int128_t temp; + int128_t::OperatorPlus(*this, other, temp); + return temp; +} + +inline int128_t int128_t::operator-(const int128_t& other) +{ + int128_t temp; + int128_t::OperatorMinus(*this, other, temp); + return temp; +} + +// This function forms the basis of all logical comparison functions. +// If value1 < value2, the return value is -1. +// If value1 == value2, the return value is 0. +// If value1 > value2, the return value is 1. +inline int int128_t::compare(const int128_t& other) const +{ + // Cache some values. Positive means >= 0. Negative means < 0 and thus means '!positive'. + const bool bValue1IsPositive( IsPositive()); + const bool bValue2IsPositive(other.IsPositive()); + + // Do positive/negative tests. + if(bValue1IsPositive != bValue2IsPositive) + return bValue1IsPositive ? 1 : -1; + + // Compare individual parts. At this point, the two numbers have the same sign. + if(mPart1 == other.mPart1) + { + if(mPart0 == other.mPart0) + return 0; + else if(mPart0 > other.mPart0) + return 1; + // return -1; //Just fall through to the end. + } + else if(mPart1 > other.mPart1) + return 1; + return -1; +} + +inline bool int128_t::operator==(const int128_t& other) const +{ + return (mPart0 == other.mPart0) && // Check mPart0 first as this will likely yield faster execution. + (mPart1 == other.mPart1); +} + +inline bool int128_t::operator!=(const int128_t& other) const +{ + return (mPart0 != other.mPart0) || // Check mPart0 first as this will likely yield faster execution. + (mPart1 != other.mPart1); +} + +inline bool int128_t::operator>(const int128_t& other) const +{ + return (compare(other) > 0); +} + +inline bool int128_t::operator>=(const int128_t& other) const +{ + return (compare(other) >= 0); +} + +inline bool int128_t::operator<(const int128_t& other) const +{ + return (compare(other) < 0); +} + +inline bool int128_t::operator<=(const int128_t& other) const +{ + return (compare(other) <= 0); +} + +inline bool int128_t::IsNegative() const +{ // True if value < 0 + return ((mPart1 & UINT64_C(0x8000000000000000)) != 0); +} + +inline bool int128_t::IsPositive() const +{ // True of value >= 0 + return ((mPart1 & UINT64_C(0x8000000000000000)) == 0); +} + +inline int128_t int128_t::operator*(const int128_t& other) +{ + int128_t a(*this); + int128_t b(other); + int128_t returnValue; + + // Correctly handle negative values + bool bANegative(false); + bool bBNegative(false); + + if(a.IsNegative()) + { + bANegative = true; + a.Negate(); + } + + if(b.IsNegative()) + { + bBNegative = true; + b.Negate(); + } + + int128_t_base::OperatorMul(a, b, returnValue); + + // Do negation as needed. + if(bANegative != bBNegative) + returnValue.Negate(); + + return returnValue; +} + +inline int128_t int128_t::operator/(const int128_t& other) +{ + int128_t remainder; + int128_t quotient; + this->Modulus(other, quotient, remainder); + return quotient; +} + +inline int128_t int128_t::operator<<(int nShift) const +{ + int128_t temp; + OperatorShiftLeft(*this, nShift, temp); + return temp; +} + +inline int128_t& int128_t::operator+=(const int128_t& value) +{ + OperatorPlus(*this, value, *this); + return *this; +} + +inline int128_t& int128_t::operator-=(const int128_t& value) +{ + OperatorMinus(*this, value, *this); + return *this; +} + +inline int128_t& int128_t::operator<<=(int nShift) +{ + int128_t temp; + OperatorShiftLeft(*this, nShift, temp); + *this = temp; + return *this; +} + +inline int128_t& int128_t::operator*=(const int128_t& value) +{ + *this = *this * value; + return *this; +} + +inline int128_t& int128_t::operator%=(const int128_t& value) +{ + *this = *this % value; + return *this; +} + +inline int128_t int128_t::operator%(const int128_t& other) +{ + int128_t remainder; + int128_t quotient; + this->Modulus(other, quotient, remainder); + return remainder; +} + +inline int128_t& int128_t::operator/=(const int128_t& value) +{ + *this = *this / value; + return *this; +} + +// With rightward shifts of negative numbers, shift in zero from the left side. +inline int128_t int128_t::operator>>(int nShift) const +{ + int128_t temp; + OperatorShiftRight(*this, nShift, temp); + return temp; +} + +inline int128_t& int128_t::operator>>=(int nShift) +{ + int128_t temp; + OperatorShiftRight(*this, nShift, temp); + *this = temp; + return *this; +} + +inline int128_t int128_t::operator^(const int128_t& other) const +{ + int128_t temp; + int128_t::OperatorXOR(*this, other, temp); + return temp; +} + +inline int128_t int128_t::operator|(const int128_t& other) const +{ + int128_t temp; + int128_t::OperatorOR(*this, other, temp); + return temp; +} + + +inline int128_t int128_t::operator&(const int128_t& other) const +{ + int128_t temp; + int128_t::OperatorAND(*this, other, temp); + return temp; +} + +inline int128_t& int128_t::operator^=(const int128_t& value) +{ + OperatorXOR(*this, value, *this); + return *this; +} + +inline int128_t& int128_t::operator|=(const int128_t& value) +{ + OperatorOR(*this, value, *this); + return *this; +} + +inline int128_t& int128_t::operator&=(const int128_t& value) +{ + OperatorAND(*this, value, *this); + return *this; +} + +EA_DISABLE_VC_WARNING(4723) // warning C4723: potential divide by 0 +inline void int128_t::Modulus(const int128_t& divisor, int128_t& quotient, int128_t& remainder) const +{ + int128_t tempDividend(*this); + int128_t tempDivisor(divisor); + + bool bDividendNegative = false; + bool bDivisorNegative = false; + + if(tempDividend.IsNegative()) + { + bDividendNegative = true; + tempDividend.Negate(); + } + if(tempDivisor.IsNegative()) + { + bDivisorNegative = true; + tempDivisor.Negate(); + } + + // Handle the special cases + if(tempDivisor.IsZero()) + { + // Force a divide by zero exception. + // We know that tempDivisor.mPart0 is zero. + quotient.mPart0 /= tempDivisor.mPart0; + } + else if(tempDividend.IsZero()) + { + quotient = int128_t((uint32_t)0); + remainder = int128_t((uint32_t)0); + } + else + { + remainder.SetZero(); + + for(int i(0); i < 128; i++) + { + remainder += (uint32_t)tempDividend.GetBit(127 - i); + const bool bBit(remainder >= tempDivisor); + quotient.SetBit(127 - i, bBit); + + if(bBit) + remainder -= tempDivisor; + + if((i != 127) && !remainder.IsZero()) + remainder <<= 1; + } + } + + if((bDividendNegative && !bDivisorNegative) || (!bDividendNegative && bDivisorNegative)) + { + // Ensure the following formula applies for negative dividends + // dividend = divisor * quotient + remainder + quotient.Negate(); + } +} +EA_RESTORE_VC_WARNING() + + + + + + +/////////////////////////////////////////////////////////////////////////////////////////////////////// +// INT128_C / UINT128_C +// +// The C99 language defines macros for portably defining constants of +// sized numeric types. For example, there might be: +// #define UINT64_C(x) x##ULL +// Since our int128 data type is not a built-in type, we can't define a +// UINT128_C macro as something that pastes ULLL at the end of the digits. +// Instead we define it to create a temporary that is constructed from a +// string of the digits. This will work in most cases that suffix pasting +// would work. +// +/* EA_CONSTEXPR */ inline uint128_t UINT128_C(uint64_t nPart1, uint64_t nPart0) { return uint128_t(nPart0, nPart1); } +/* EA_CONSTEXPR */ inline int128_t INT128_C(int64_t nPart1, int64_t nPart0) { return int128_t(static_cast<uint64_t>(nPart0), static_cast<uint64_t>(nPart1)); } + + + + +#endif // INCLUDED_int128_h + |