Public Member Functions
	Z_NR ()

	Z_NR (const Z_NR< Z > &z)

	Z_NR (const Z &z)

	~Z_NR ()

Z &	get_data ()

const Z &	get_data () const

double	get_d () const

long	get_si () const

void	get_mpz (mpz_t r) const

long	exponent () const

template<class F >
void	get_f_exp (F &f, long &expo)

template<class F >
void	set_f (const FP_NR< F > &f)

void	set_str (const char *s)

int	cmp (const Z_NR< Z > &m) const

int	sgn () const

void	operator= (const Z_NR< Z > &z)

void	operator= (const mpz_t &z)

void	operator= (long i)

bool	operator< (const Z_NR< Z > &a) const

bool	operator< (long a) const

bool	operator> (const Z_NR< Z > &a) const

bool	operator> (long a) const

bool	operator<= (const Z_NR< Z > &a) const

bool	operator<= (long a) const

bool	operator>= (const Z_NR< Z > &a) const

bool	operator>= (long a) const

bool	operator== (const Z_NR< Z > &a) const

bool	operator== (long a) const

bool	operator!= (const Z_NR< Z > &a) const

bool	operator!= (long a) const

Z_NR &	max_z (Z_NR< Z > &b)

bool	is_zero () const

void	add (const Z_NR< Z > &a, const Z_NR< Z > &b)

void	add_ui (const Z_NR< Z > &a, unsigned int b)

void	sub (const Z_NR< Z > &a, const Z_NR< Z > &b)

void	sub_ui (const Z_NR< Z > &a, unsigned int b)

void	mod (const Z_NR< Z > &a, const Z_NR< Z > &b)

void	neg (const Z_NR< Z > &a)

void	mul (const Z_NR< Z > &a, const Z_NR< Z > &b)

void	mul_si (const Z_NR< Z > &a, long b)

void	mul_ui (const Z_NR< Z > &a, unsigned long b)

void	mul_2si (const Z_NR< Z > &a, long b)

void	div_2si (const Z_NR< Z > &a, long b)

void	addmul (const Z_NR< Z > &a, const Z_NR< Z > &b)

void	addmul_ui (const Z_NR< Z > &a, unsigned long b)

void	addmul_si (const Z_NR< Z > &a, long b)

void	submul (const Z_NR< Z > &a, const Z_NR< Z > &b)

void	submul_ui (const Z_NR< Z > &a, unsigned long b)

void	abs (const Z_NR< Z > &a)

void	swap (Z_NR< Z > &a)

void	randb (int bits)

void	randb_si (int bits)

void	randm (const Z_NR< Z > &max)

void	randm_si (const Z_NR< Z > &max)

void	nextprime (const Z_NR< Z > &nbr)

Detailed Description

template<class Z = mpz_t>
class Z_NR< Z >

Z_NR stores integers. This template provides a uniform interface for doing integer computations with several underlying types (long, double and mpz_t).

Constructor & Destructor Documentation

◆ Z_NR() [1/3]

template<class Z = mpz_t>

Z_NR< Z >::Z_NR ( )

inline

Constructors.

◆ Z_NR() [2/3]

template<class Z = mpz_t>

Z_NR< Z >::Z_NR ( const Z_NR< Z > & z )

inline

◆ Z_NR() [3/3]

template<class Z = mpz_t>

Z_NR< Z >::Z_NR ( const Z & z )

inline

◆ ~Z_NR()

template<class Z = mpz_t>

Z_NR< Z >::~Z_NR ( )

inline

Member Function Documentation

◆ abs()

template<class Z = mpz_t>

void Z_NR< Z >::abs ( const Z_NR< Z > & a )

inline

value := absolute value of a.

◆ add()

template<class Z = mpz_t>

void Z_NR< Z >::add	(	const Z_NR< Z > &	a,
		const Z_NR< Z > &	b
	)

inline

arithmetic value := a + b.

◆ add_ui()

template<class Z = mpz_t>

void Z_NR< Z >::add_ui	(	const Z_NR< Z > &	a,
		unsigned int	b
	)

inline

◆ addmul()

template<class Z = mpz_t>

void Z_NR< Z >::addmul	(	const Z_NR< Z > &	a,
		const Z_NR< Z > &	b
	)

inline

value := value + a * b.

◆ addmul_si()

template<class Z = mpz_t>

void Z_NR< Z >::addmul_si	(	const Z_NR< Z > &	a,
		long	b
	)

inline

◆ addmul_ui()

template<class Z = mpz_t>

void Z_NR< Z >::addmul_ui	(	const Z_NR< Z > &	a,
		unsigned long	b
	)

inline

◆ cmp()

template<class Z = mpz_t>

int Z_NR< Z >::cmp ( const Z_NR< Z > & m ) const

inline

comparison 3-way comparison. Returns a positive number if *this > m, a negative number if *this < m or zero is *this == m.

◆ div_2si()

template<class Z = mpz_t>

void Z_NR< Z >::div_2si	(	const Z_NR< Z > &	a,
		long	b
	)

inline

value := a / 2^b. if Z=long and |b| >= size_in_bits(a), the result is undefined.

◆ exponent()

template<class Z = mpz_t>

long Z_NR< Z >::exponent ( ) const

inline

Returns the smallest non-negative expo such that |value| < 2^expo.

◆ get_d()

template<class Z = mpz_t>

double Z_NR< Z >::get_d ( ) const

inline

Converts this object to a double. If it does not fit in a double, the result is undefined.

◆ get_data() [1/2]

template<class Z = mpz_t>

Z & Z_NR< Z >::get_data ( )

inline

get data Returns the internal representation of the data.

◆ get_data() [2/2]

template<class Z = mpz_t>

const Z & Z_NR< Z >::get_data ( ) const

inline

Returns the internal representation of the data.

◆ get_f_exp()

template<class Z = mpz_t>

template<class F >

void Z_NR< Z >::get_f_exp	(	F &	f,
		long &	expo
	)

inline

Computes f and expo such that 0.5 <= f < 1 and value ~= 2^expo * f. The rounding direction is undefined. This function is implemented only for native floating-point types (double and long double), otherwise the behaviour is undefined.

◆ get_mpz()

template<class Z = mpz_t>

void Z_NR< Z >::get_mpz ( mpz_t r ) const

inline

Converts this object to a mpz.

◆ get_si()

template<class Z = mpz_t>

long Z_NR< Z >::get_si ( ) const

inline

Converts this object to a long double. If it does not fit in a long double, the result is undefined. Converts this object to a long. If it does not fit in a long, the result is undefined.

◆ is_zero()

template<class Z = mpz_t>

bool Z_NR< Z >::is_zero ( ) const

inline

Returns non-zero if the current value is zero, 0 otherwise.

◆ max_z()

template<class Z = mpz_t>

Z_NR & Z_NR< Z >::max_z ( Z_NR< Z > & b )

inline

max between a and b

◆ mod()

template<class Z = mpz_t>

void Z_NR< Z >::mod	(	const Z_NR< Z > &	a,
		const Z_NR< Z > &	b
	)

inline

value := a mod b

◆ mul()

template<class Z = mpz_t>

void Z_NR< Z >::mul	(	const Z_NR< Z > &	a,
		const Z_NR< Z > &	b
	)

inline

value := a * b.

◆ mul_2si()

template<class Z = mpz_t>

void Z_NR< Z >::mul_2si	(	const Z_NR< Z > &	a,
		long	b
	)

inline

value := a * 2^b. if Z=long and |b| >= size_in_bits(a), the result is undefined.

◆ mul_si()

template<class Z = mpz_t>

void Z_NR< Z >::mul_si	(	const Z_NR< Z > &	a,
		long	b
	)

inline

value := a * b.

◆ mul_ui()

template<class Z = mpz_t>

void Z_NR< Z >::mul_ui	(	const Z_NR< Z > &	a,
		unsigned long	b
	)

inline

◆ neg()

template<class Z = mpz_t>

void Z_NR< Z >::neg ( const Z_NR< Z > & a )

inline

value := -a.

◆ nextprime()

template<class Z = mpz_t>

void Z_NR< Z >::nextprime ( const Z_NR< Z > & nbr )

inline

Generates smallest prime number above nbr

◆ operator!=() [1/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator!= ( const Z_NR< Z > & a ) const

inline

◆ operator!=() [2/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator!= ( long a ) const

inline

◆ operator<() [1/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator< ( const Z_NR< Z > & a ) const

inline

◆ operator<() [2/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator< ( long a ) const

inline

◆ operator<=() [1/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator<= ( const Z_NR< Z > & a ) const

inline

◆ operator<=() [2/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator<= ( long a ) const

inline

◆ operator=() [1/3]

template<class Z = mpz_t>

void Z_NR< Z >::operator= ( const mpz_t & z )

inline

◆ operator=() [2/3]

template<class Z = mpz_t>

void Z_NR< Z >::operator= ( const Z_NR< Z > & z )

inline

Operator

◆ operator=() [3/3]

template<class Z = mpz_t>

void Z_NR< Z >::operator= ( long i )

inline

◆ operator==() [1/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator== ( const Z_NR< Z > & a ) const

inline

◆ operator==() [2/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator== ( long a ) const

inline

◆ operator>() [1/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator> ( const Z_NR< Z > & a ) const

inline

◆ operator>() [2/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator> ( long a ) const

inline

◆ operator>=() [1/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator>= ( const Z_NR< Z > & a ) const

inline

◆ operator>=() [2/2]

template<class Z = mpz_t>

bool Z_NR< Z >::operator>= ( long a ) const

inline

◆ randb()

template<class Z = mpz_t>

void Z_NR< Z >::randb ( int bits )

inline

Generates random integer between 0 and 2^bits-1.

◆ randb_si()

template<class Z = mpz_t>

void Z_NR< Z >::randb_si ( int bits )

inline

◆ randm()

template<class Z = mpz_t>

void Z_NR< Z >::randm ( const Z_NR< Z > & max )

inline

Generates random integer between 0 and max - 1

◆ randm_si()

template<class Z = mpz_t>

void Z_NR< Z >::randm_si ( const Z_NR< Z > & max )

inline

◆ set_f()

template<class Z = mpz_t>

template<class F >

void Z_NR< Z >::set_f ( const FP_NR< F > & f )

inline

set data Sets the value to x. When FT=mpfr_t, x is rounded to the nearest integer and if the fractional part of x is 0.5, the even integer is chosen when. Otherwise, the rounding direction is undefined.

◆ set_str()

template<class Z = mpz_t>

void Z_NR< Z >::set_str ( const char * s )

inline

Sets the value to s, signed integer in basis 10.

◆ sgn()

template<class Z = mpz_t>

int Z_NR< Z >::sgn ( ) const

inline

Sign. Returns a positive number, a negative number or zero if the value of this object is respectively positive, negative or null.

◆ sub()

template<class Z = mpz_t>

void Z_NR< Z >::sub	(	const Z_NR< Z > &	a,
		const Z_NR< Z > &	b
	)

inline

value := a - b.

◆ sub_ui()

template<class Z = mpz_t>

void Z_NR< Z >::sub_ui	(	const Z_NR< Z > &	a,
		unsigned int	b
	)

inline

◆ submul()

template<class Z = mpz_t>

void Z_NR< Z >::submul	(	const Z_NR< Z > &	a,
		const Z_NR< Z > &	b
	)

inline

value := value - a * b.

◆ submul_ui()

template<class Z = mpz_t>

void Z_NR< Z >::submul_ui	(	const Z_NR< Z > &	a,
		unsigned long	b
	)

inline

◆ swap()

template<class Z = mpz_t>

void Z_NR< Z >::swap ( Z_NR< Z > & a )

inline

Efficiently swaps the values of two Z_NR.

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

fplll/nr/nr_FP.inl
fplll/nr/nr_Z.inl

Public Member Functions

Detailed Description

Constructor & Destructor Documentation

◆ Z_NR() [1/3]

◆ Z_NR() [2/3]

◆ Z_NR() [3/3]

◆ ~Z_NR()

Member Function Documentation

◆ abs()

◆ add()

◆ add_ui()

◆ addmul()

◆ addmul_si()

◆ addmul_ui()

◆ cmp()

◆ div_2si()

◆ exponent()

◆ get_d()

◆ get_data() [1/2]

◆ get_data() [2/2]

◆ get_f_exp()

◆ get_mpz()

◆ get_si()

◆ is_zero()

◆ max_z()

◆ mod()

◆ mul()

◆ mul_2si()

◆ mul_si()

◆ mul_ui()

◆ neg()

◆ nextprime()

◆ operator!=() [1/2]

◆ operator!=() [2/2]

◆ operator<() [1/2]

◆ operator<() [2/2]

◆ operator<=() [1/2]

◆ operator<=() [2/2]

◆ operator=() [1/3]

◆ operator=() [2/3]

◆ operator=() [3/3]

◆ operator==() [1/2]

◆ operator==() [2/2]

◆ operator>() [1/2]

◆ operator>() [2/2]

◆ operator>=() [1/2]

◆ operator>=() [2/2]

◆ randb()

◆ randb_si()

◆ randm()

◆ randm_si()

◆ set_f()

◆ set_str()

◆ sgn()

◆ sub()

◆ sub_ui()

◆ submul()

◆ submul_ui()

◆ swap()