Rational number with unlimited precision. More...

#include <Rational.h>

Public Types
typedef RationalParticle< true >	num_proxy
	Separate access to numerator and denominator.

Public Member Functions
	Rational (const Rational &b)
	Constructors.
	Rational (const mpq_t &b)
	Copy the value from a third party.
	Rational (mpq_t &&b) noexcept
	Rational (const Integer &b)
	Create a Rational from an integral number.
	Rational (const mpz_t &b)
	Copy the numerator value from a third party.
	Rational (mpz_t &&b)
	Rational (const Integer &num, const Integer &den)
	Create a Rational as the quotient of two integrals, represented as Integer, long, or int.
	Rational (const mpz_t &num, const mpz_t &den)
	Copy or steal numerator and denominator values from a third party.
	Rational (const char *s)
	Parse a string "num/den", "num", or "±inf".
Rational &	operator= (const Rational &b)
	Assignment.
Rational &	copy_from (mpq_srcptr src)
	Assign a copy of data obtained from a third party.
Rational &	set (const Integer &num, const Integer &den)
	Assign numerator and denominator from separate sources.
void	swap (Rational &b)
	Exchange the values.
	operator double () const
	Cast to simpler types.
Rational &	operator++ ()
	Increment.
Rational &	negate ()
	In-place negation.
Rational &	operator+= (const Rational &b)
	Addition.
Rational &	operator-= (const Rational &b)
	Subtraction.
Rational &	*operator=** (const Rational &b)
	Multiplication.
Rational &	operator/= (const Rational &b)
	Division.
Rational &	operator<<= (long k)
	Multiply with or divide through 2**k.
Rational &	operator>>= (long k)
	Divide through or multiply with 2**k.
Integer	floor () const
	The closest integral not greater than this.
Integer	ceil () const
	The closest integral not smaller than the given value.
Integer	trunc () const
	Truncation toward zero.
bool	is_zero () const noexcept
	fast comparison with 0
bool	is_integral () const noexcept
Int	compare (const Rational &b) const
Int	compare (double b) const
	Comparison.

Static Public Member Functions
static Rational	infinity (Int sgn)
	Construct an infinite value.
static Rational	pow (const Rational &a, long k)
	Power.
static Rational	pow (const Integer &a, long k)
	Power.

Protected Member Functions
	Rational (std::nullptr_t)
	uninitialized object

Detailed Description

Rational number with unlimited precision.

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Constructor & Destructor Documentation

◆ Rational() [1/2]

pm::Rational::Rational ( mpq_t && b )

inlineexplicitnoexcept

Steal the value from a third party The source must be re-initialized if it's going to be used afterwards

◆ Rational() [2/2]

pm::Rational::Rational ( mpz_t && b )

inlineexplicit

Steal the numerator value from a third party The source must be re-initialized if it's going to be used afterwards

Member Function Documentation

◆ compare()

Int pm::Rational::compare ( const Rational & b ) const

inline

Comparison. The magnitude of the return value is arbitrary, only its sign is relevant.

◆ is_integral()

bool pm::Rational::is_integral ( ) const

inlinenoexcept

check whether the denominator equals 1 for infinite values, returns true as well

The documentation for this class was generated from the following file:

lib/core/include/Rational.h

Public Types

Public Member Functions

Static Public Member Functions