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double_integer.hpp
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double_integer.hpp
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#ifndef DOUBLE_INTEGER_HPP
#define DOUBLE_INTEGER_HPP
/* Double Integer template
// double_integer.hpp
//
// Author: Jan Ringos, http://Tringi.TrimCore.cz, [email protected]
// Version: 2.3
// Description: Implements common functionality to double the precission
// of an little-endian two-complement integer type, both signed
// and unsigned.
//
// License:
// This software is provided 'as-is', without any express or implied warranty.
// In no event will the author be held liable for any damages arising from the
// use of this software.
//
// Permission is granted to anyone to use this software for any purpose,
// including commercial applications, and to alter it and redistribute it
// freely, subject to the following restrictions:
//
// 1. The origin of this software must not be misrepresented; you must not
// claim that you wrote the original software. If you use this software
// in a product, an acknowledgment in the product documentation would
// be appreciated but is not required.
//
// 2. Altered source versions must be plainly marked as such, and must not
// be misrepresented as being the original software.
//
// 3. This notice may not be removed or altered from any source
// distribution.
//
// Changelog:
// 29.01.2011 - initial version
// 28.05.2013 - now requires C++11 (to enable singed/unsigned conversions)
// - fixed conversion from negative floating point
// - C style fmod, fmodf, fmodl replaced by std::fmod
// 20.03.2015 - completed C++11 release
// 29.09.2023 - removed deprecated numeric_limits denorm_absent/has_denorm_loss
// - silenced several comparison warnings
// 30.05.2024 - added explicit conversion to LO and double, tweaked print
// 01.06.2024 - fixed numeric_limits::min, and modernized the numeric_limits
*/
#include <type_traits>
#include <cstddef>
#include <cstdio>
#include <limits>
// double_integer <LO, HI>
// - unlike the intrinsic types, this one is always zero initialized
// - arguments: LO - always an unsigned integer type
// HI - defaults to LO, type of the upper half
// - notes: - use of types with different width for LO and HI is unsupported
// - to implement a signed type, use a signed integer as HI type
template <typename LO, typename HI = LO>
class double_integer {
// check assumptions
static_assert (sizeof (LO) == sizeof (HI), "both types must have the same size");
static_assert (!std::numeric_limits <LO> ::is_signed, "type of lower half must be unsigned");
public:
// the only two data members
LO lo;
HI hi;
// constructors
constexpr double_integer () : lo (LO ()), hi (HI ()) {};
constexpr double_integer (const double_integer & a) : lo (a.lo), hi (a.hi) {};
constexpr double_integer (const LO & _lo, const HI & _hi) : lo (_lo), hi (_hi) {};
double_integer (signed char);
double_integer (signed short);
double_integer (signed int);
double_integer (signed long);
double_integer (signed long long);
double_integer (unsigned char);
double_integer (unsigned short);
double_integer (unsigned int);
double_integer (unsigned long);
double_integer (unsigned long long);
double_integer (float);
double_integer (double);
double_integer (long double);
// string constructor
// - skips std::isspace characters at string beginning
// - when radix is zero, is detected by following rules:
// "0" -> 8, "0x" -> 16, "0b" -> 2, otherwise 10
explicit double_integer (const char *, unsigned int radix = 0);
// assignment operators
// - only between double_integers
// and unsigned version of this one (if this one is signed)
double_integer & operator = (const double_integer &);
template <class = std::enable_if <!std::is_same <LO, HI>::value>>
double_integer & operator = (const double_integer <LO, LO> &);
// integer operators
constexpr bool operator ! () const;
constexpr explicit operator bool () const;
constexpr explicit operator LO () const;
constexpr explicit operator double () const;
constexpr operator double_integer <LO, LO> () const;
double_integer operator + () const { return *this; };
double_integer operator - () const;
double_integer operator ~ () const;
double_integer operator ++ (int);
double_integer operator -- (int);
double_integer & operator ++ ();
double_integer & operator -- ();
double_integer & operator += (const double_integer &);
double_integer & operator -= (const double_integer &);
double_integer & operator *= (const double_integer &);
double_integer & operator /= (const double_integer &);
double_integer & operator %= (const double_integer &);
double_integer & operator |= (const double_integer &);
double_integer & operator &= (const double_integer &);
double_integer & operator ^= (const double_integer &);
double_integer & operator >>= (unsigned int);
double_integer & operator <<= (unsigned int);
// division
// - returns result, second parameters (if provided) receives remainder
// - throws std::logic_error on division by zero
double_integer div (const double_integer &, double_integer * = 0) const;
// rendering
const char * print (char * buffer, std::size_t length,
unsigned int radix = 10u) const;
const char * c_str (unsigned int radix = 10u) const; // thread unsafe!
// internal implementation details and helpers follow
private:
template <typename T> static T mask (unsigned int);
};
template <typename LO, typename HI> bool operator < (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> bool operator > (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> bool operator <= (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> bool operator <= (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> bool operator == (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> bool operator != (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> bool operator || (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> bool operator && (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator + (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator - (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator * (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator / (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator % (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator & (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator | (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator ^ (const double_integer <LO, HI> &, const double_integer <LO, HI> &);
template <typename LO, typename HI> double_integer <LO, HI> operator << (const double_integer <LO, HI> &, unsigned int);
template <typename LO, typename HI> double_integer <LO, HI> operator >> (const double_integer <LO, HI> &, unsigned int);
#include "double_integer.tcc"
#endif