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Integer Class Reference

#include <gmp++_int.h>

List of all members.

Public Types

typedef std::vector< mp_limb_t > vect_t

Public Methods

Integer (const std::vector< mp_limb_t > &vect_t)

Integer (int n=0)

Integer (long n)

Integer (unsigned char n)

Integer (unsigned int n)

Integer (unsigned long n)

Integer (long long n)

Integer (unsigned long long n)

Integer (double d)

Integer (const char *s)

Integer (const Integer &n)

~Integer ()

Integer & operator= (const Integer &n)

Integer & logcpy (const Integer &n)

Integer & copy (const Integer &n)

int operator!= (const int l) const

int operator!= (const long l) const

int operator!= (const unsigned long l) const

int operator> (const int l) const

int operator> (const long l) const

int operator< (const int l) const

int operator< (const long l) const

int operator> (const unsigned long l) const

int operator< (const unsigned long l) const

Integer & operator+= (const Integer &n)

Integer & operator+= (const unsigned long l)

Integer & operator+= (const long l)

Integer operator+ (const Integer &n) const

Integer operator+ (const unsigned long l) const

Integer operator+ (const long l) const

template<class XXX> Integer & operator+= (const XXX &x)

Integer & operator-= (const Integer &n)

Integer & operator-= (const unsigned long l)

Integer & operator-= (const long l)

template<class XXX> Integer & operator-= (const XXX &x)

Integer operator- (const Integer &n) const

Integer operator- (const unsigned long l) const

Integer operator- (const long l) const

Integer operator- () const

Integer & operator *= (const Integer &n)

Integer & operator *= (const unsigned long l)

Integer & operator *= (const long l)

template<class XXX> Integer & operator *= (const XXX &x)

Integer operator * (const Integer &n) const

Integer operator * (const unsigned long l) const

Integer operator * (const long l) const

Integer & operator/= (const Integer &n)

Integer & operator/= (const unsigned long l)

Integer & operator/= (const long l)

template<class XXX> Integer & operator/= (const XXX &x)

Integer operator/ (const Integer &n) const

Integer operator/ (const unsigned long l) const

Integer operator/ (const long l) const

Integer & operator%= (const Integer &n)

Integer & operator%= (const unsigned long l)

Integer & operator%= (const long l)

Integer & operator%= (const long long l)

Integer & operator%= (const unsigned long long l)

long long operator% (const long long l) const

long long operator% (const unsigned long long l) const

template<class XXX> Integer & operator%= (const XXX &x)

Integer operator% (const Integer &n) const

long operator% (const unsigned long l) const

long operator% (const long l) const

Integer & operator++ ()

Integer & operator-- ()

Integer operator<< (int l) const

Integer operator>> (int l) const

Integer operator<< (long l) const

Integer operator>> (long l) const

Integer operator<< (unsigned int l) const

Integer operator>> (unsigned int l) const

Integer operator<< (unsigned long l) const

Integer operator>> (unsigned long l) const

Integer & operator<<= (int l)

Integer & operator>>= (int l)

Integer & operator<<= (long l)

Integer & operator>>= (long l)

Integer & operator<<= (unsigned int l)

Integer & operator>>= (unsigned int l)

Integer & operator<<= (unsigned long l)

Integer & operator>>= (unsigned long l)

size_t size () const

size_t size_in_base (int B) const

size_t bitsize () const

unsigned long operator[] (size_t i) const

operator short () const

operator unsigned short () const

operator unsigned char () const

operator signed char () const

operator unsigned int () const

operator int () const

operator unsigned long () const

operator long () const

operator unsigned long long () const

operator long long () const

operator std::string () const

operator float () const

operator double () const

operator vect_t () const

std::ostream & print (std::ostream &o) const

mpz_ptr get_mpz ()

const Rep * get_rep () const

Static Public Methods

Integer & addin (Integer &res, const Integer &n)

Integer & addin (Integer &res, const long n)

Integer & addin (Integer &res, const unsigned long n)

Integer & add (Integer &res, const Integer &n1, const Integer &n2)

Integer & add (Integer &res, const Integer &n1, const long n2)

Integer & add (Integer &res, const Integer &n1, const unsigned long n2)

Integer & subin (Integer &res, const Integer &n)

Integer & subin (Integer &res, const long n)

Integer & subin (Integer &res, const unsigned long n)

Integer & sub (Integer &res, const Integer &n1, const Integer &n2)

Integer & sub (Integer &res, const Integer &n1, const long n2)

Integer & sub (Integer &res, const Integer &n1, const unsigned long n2)

Integer & negin (Integer &res)

Integer & neg (Integer &res, const Integer &n)

Integer & mulin (Integer &res, const Integer &n)

Integer & mulin (Integer &res, const long n)

Integer & mulin (Integer &res, const unsigned long n)

Integer & mul (Integer &res, const Integer &n1, const Integer &n2)

Integer & mul (Integer &res, const Integer &n1, const long n2)

Integer & mul (Integer &res, const Integer &n1, const unsigned long n2)

Integer & axpy (Integer &res, const Integer &a, const Integer &x, const Integer &y)

Integer & axpyin (Integer &res, const Integer &a, const Integer &x)

Integer & axmy (Integer &res, const Integer &a, const Integer &x, const Integer &y)

Integer & axmyin (Integer &res, const Integer &a, const Integer &x)

Integer & divin (Integer &q, const Integer &n)

Integer & divin (Integer &q, const long n)

Integer & divin (Integer &q, const unsigned long n)

Integer & div (Integer &q, const Integer &n1, const Integer &n2)

Integer & div (Integer &q, const Integer &n1, const long n2)

Integer & div (Integer &q, const Integer &n1, const unsigned long n2)

Integer & divexact (Integer &q, const Integer &n1, const Integer &n2)

Integer divexact (const Integer &n1, const Integer &n2)

Integer & modin (Integer &r, const Integer &n)

Integer & modin (Integer &r, const long n)

Integer & modin (Integer &r, const unsigned long n)

Integer & mod (Integer &r, const Integer &n1, const Integer &n2)

Integer & mod (Integer &r, const Integer &n1, const long n2)

Integer & mod (Integer &r, const Integer &n1, const unsigned long n2)

Integer & divmod (Integer &q, Integer &r, const Integer &n1, const Integer &n2)

Integer & divmod (Integer &q, long &r, const Integer &n1, const long n2)

Integer & divmod (Integer &q, unsigned long &r, const Integer &n1, const unsigned long n2)

Integer random (int sz=1)

Integer nonzerorandom (int sz=1)

Integer & random (Integer &r, const Integer &size)

Integer & nonzerorandom (Integer &r, const Integer &size)

Integer & random (Integer &r, long size=1)

Integer & nonzerorandom (Integer &r, long size=1)

Static Public Attributes

const Integer zero

const Integer one

Protected Types

typedef MP_INT Rep

Protected Methods

int priv_sign () const

Integer (unsigned long *d, long size)

Protected Attributes

Rep gmp_rep

Friends

int compare (const Integer &a, const Integer &b)

int absCompare (const Integer &a, const Integer &b)

Integer & inv (Integer &u, const Integer &a, const Integer &b)

Integer gcd (const Integer &a, const Integer &b)

Integer gcd (const Integer &a, const Integer &b, Integer &u, Integer &v)

Integer & gcd (Integer &g, const Integer &a, const Integer &b)

Integer & gcd (Integer &g, const Integer &a, const Integer &b, Integer &u, Integer &v)

Integer pp (const Integer &P, const Integer &Q)

Integer & lcm (Integer &g, const Integer &a, const Integer &b)

Integer lcm (const Integer &a, const Integer &b)

Integer & pow (Integer &Res, const Integer &n, const long l)

Integer & pow (Integer &Res, const unsigned long n, const unsigned long l)

Integer & pow (Integer &Res, const Integer &n, const unsigned long l)

Integer & pow (Integer &Res, const Integer &n, const int l)

Integer & pow (Integer &Res, const Integer &n, const unsigned int l)

Integer pow (const Integer &n, const long l)

Integer pow (const Integer &n, const unsigned long l)

Integer pow (const Integer &n, const int l)

Integer pow (const Integer &n, const unsigned int l)

Integer & powmod (Integer &Res, const Integer &n, const unsigned long e, const Integer &m)

Integer & powmod (Integer &Res, const Integer &n, const long e, const Integer &m)

Integer & powmod (Integer &Res, const Integer &n, const unsigned int e, const Integer &m)

Integer & powmod (Integer &Res, const Integer &n, const int e, const Integer &m)

Integer & powmod (Integer &Res, const Integer &n, const Integer &e, const Integer &m)

Integer powmod (const Integer &n, const unsigned long e, const Integer &m)

Integer powmod (const Integer &n, const long e, const Integer &m)

Integer powmod (const Integer &n, const unsigned int e, const Integer &m)

Integer powmod (const Integer &n, const int e, const Integer &m)

Integer powmod (const Integer &n, const Integer &e, const Integer &m)

Integer fact (unsigned long l)

Integer sqrt (const Integer &p)

Integer sqrt (const Integer &p, Integer &r)

bool root (Integer &q, const Integer &, unsigned int n)

long logp (const Integer &a, const Integer &p)

double logtwo (const Integer &a)

void swap (Integer &, Integer &)

int sign (const Integer &a)

int isZero (const Integer &a)

int isOne (const Integer &a)

int isperfectpower (const Integer &)

Integer abs (const Integer &n)

Integer & nextprime (Integer &, const Integer &p)

Integer & prevprime (Integer &, const Integer &p)

int probab_prime (const Integer &p)

int probab_prime (const Integer &p, int r)

int jacobi (const Integer &u, const Integer &v)

int legendre (const Integer &u, const Integer &v)

unsigned long length (const Integer &a)

long Integer2long (const Integer &n)

vect_t & Integer2vector (vect_t &v, const Integer &n)

double Integer2double (const Integer &n)

std::string & Integer2string (std::string &, const Integer &, int base=10)

std::istream & operator>> (std::istream &i, Integer &n)

std::ostream & operator<< (std::ostream &o, const Integer &n)

std::ostream & absOutput (std::ostream &o, const Integer &n)

void importWords (Integer &x, size_t count, int order, int size, int endian, size_t nails, const void *op)

Member Typedef Documentation

typedef MP_INT Rep [protected]

typedef std::vector<mp_limb_t> vect_t

Constructor & Destructor Documentation

Integer ( const std::vector< mp_limb_t > & vect_t )

Integer ( int n = 0 ) [inline]

Integer ( long n ) [inline]

Integer ( unsigned char n ) [inline]

Integer ( unsigned int n ) [inline]

Integer ( unsigned long n ) [inline]

Integer ( long long n )

Integer ( unsigned long long n )

Integer ( double d ) [inline]

Integer ( const char * s )

Integer ( const Integer & n ) [inline]

~Integer ( ) [inline]

Integer ( unsigned long * d,

long size

) [protected]

Member Function Documentation

Integer & add ( Integer & res,

const Integer & n1,

const unsigned long n2

) [static]

Integer & add ( Integer & res,

const Integer & n1,

const long n2

) [static]

Integer & add ( Integer & res,

const Integer & n1,

const Integer & n2

) [static]

Integer & addin ( Integer & res,

const unsigned long n

) [static]

Integer & addin ( Integer & res,

const long n

) [static]

Integer & addin ( Integer & res,

const Integer & n

) [static]

Integer & axmy ( Integer & res,

const Integer & a,

const Integer & x,

const Integer & y

) [static]

Integer & axmyin ( Integer & res,

const Integer & a,

const Integer & x

) [static]

Integer & axpy ( Integer & res,

const Integer & a,

const Integer & x,

const Integer & y

) [static]

Integer & axpyin ( Integer & res,

const Integer & a,

const Integer & x

) [static]

size_t bitsize ( ) [inline]

Integer & copy ( const Integer & n )

Integer & div ( Integer & q,

const Integer & n1,

const unsigned long n2

) [static]

Integer & div ( Integer & q,

const Integer & n1,

const long n2

) [static]

Integer & div ( Integer & q,

const Integer & n1,

const Integer & n2

) [static]

Integer divexact ( const Integer & n1,

const Integer & n2

) [static]

Integer & divexact ( Integer & q,

const Integer & n1,

const Integer & n2

) [static]

Integer & divin ( Integer & q,

const unsigned long n

) [static]

Integer & divin ( Integer & q,

const long n

) [static]

Integer & divin ( Integer & q,

const Integer & n

) [static]

Integer & divmod ( Integer & q,

unsigned long & r,

const Integer & n1,

const unsigned long n2

) [static]

Integer & divmod ( Integer & q,

long & r,

const Integer & n1,

const long n2

) [static]

Integer & divmod ( Integer & q,

Integer & r,

const Integer & n1,

const Integer & n2

) [static]

mpz_ptr get_mpz ( ) [inline]

const Rep* get_rep ( ) const [inline]

Integer & logcpy ( const Integer & n ) [inline]

Integer & mod ( Integer & r,

const Integer & n1,

const unsigned long n2

) [static]

Integer & mod ( Integer & r,

const Integer & n1,

const long n2

) [static]

Integer & mod ( Integer & r,

const Integer & n1,

const Integer & n2

) [static]

Integer & modin ( Integer & r,

const unsigned long n

) [static]

Integer & modin ( Integer & r,

const long n

) [static]

Integer & modin ( Integer & r,

const Integer & n

) [static]

Integer & mul ( Integer & res,

const Integer & n1,

const unsigned long n2

) [static]

Integer & mul ( Integer & res,

const Integer & n1,

const long n2

) [static]

Integer & mul ( Integer & res,

const Integer & n1,

const Integer & n2

) [static]

Integer & mulin ( Integer & res,

const unsigned long n

) [static]

Integer & mulin ( Integer & res,

const long n

) [static]

Integer & mulin ( Integer & res,

const Integer & n

) [static]

Integer & neg ( Integer & res,

const Integer & n

) [static]

Integer & negin ( Integer & res ) [static]

Integer & nonzerorandom ( Integer & r,

long size = 1

) [inline, static]

Integer & nonzerorandom ( Integer & r,

const Integer & size

) [inline, static]

Integer nonzerorandom ( int sz = 1 ) [inline, static]

Integer operator * ( const long l ) const

Integer operator * ( const unsigned long l ) const

Integer operator * ( const Integer & n ) const

Integer& operator *= ( const XXX & x ) [inline]

Integer & operator *= ( const long l )

Integer & operator *= ( const unsigned long l )

Integer & operator *= ( const Integer & n )

operator double ( )

operator float ( )

operator int ( )

operator long ( )

operator long long ( )

operator short ( ) const [inline]

operator signed char ( ) const [inline]

operator std::string ( )

operator unsigned char ( ) const [inline]

operator unsigned int ( )

operator unsigned long ( )

operator unsigned long long ( )

operator unsigned short ( ) const [inline]

operator vect_t ( )

int operator!= ( const unsigned long l ) const

int operator!= ( const long l ) const

int operator!= ( const int l ) const

long operator% ( const long l ) const

long operator% ( const unsigned long l ) const

Integer operator% ( const Integer & n ) const

long operator% ( const unsigned long long l ) const

long operator% ( const long long l ) const

Integer& operator%= ( const XXX & x ) [inline]

Integer& operator%= ( const unsigned long long l ) [inline]

Integer& operator%= ( const long long l ) [inline]

Integer & operator%= ( const long l )

Integer & operator%= ( const unsigned long l )

Integer & operator%= ( const Integer & n )

Integer operator+ ( const long l ) const

Integer operator+ ( const unsigned long l ) const

Integer operator+ ( const Integer & n ) const

Integer& operator++ ( ) [inline]

Integer& operator+= ( const XXX & x ) [inline]

Integer & operator+= ( const long l )

Integer & operator+= ( const unsigned long l )

Integer & operator+= ( const Integer & n )

Integer operator- ( ) [inline]

Integer operator- ( const long l ) const

Integer operator- ( const unsigned long l ) const

Integer operator- ( const Integer & n ) const

Integer& operator-- ( ) [inline]

Integer& operator-= ( const XXX & x ) [inline]

Integer & operator-= ( const long l )

Integer & operator-= ( const unsigned long l )

Integer & operator-= ( const Integer & n )

Integer operator/ ( const long l ) const

Integer operator/ ( const unsigned long l ) const

Integer operator/ ( const Integer & n ) const

Integer& operator/= ( const XXX & x ) [inline]

Integer & operator/= ( const long l )

Integer & operator/= ( const unsigned long l )

Integer & operator/= ( const Integer & n )

int operator< ( const unsigned long l ) const

int operator< ( const long l ) const

int operator< ( const int l ) const

Integer operator<< ( unsigned long l ) const

Integer operator<< ( unsigned int l ) const

Integer operator<< ( long l ) const

Integer operator<< ( int l ) const

Integer & operator<<= ( unsigned long l )

Integer & operator<<= ( unsigned int l )

Integer & operator<<= ( long l )

Integer & operator<<= ( int l )

Integer & operator= ( const Integer & n ) [inline]

int operator> ( const unsigned long l ) const

int operator> ( const long l ) const

int operator> ( const int l ) const

Integer operator>> ( unsigned long l ) const

Integer operator>> ( unsigned int l ) const

Integer operator>> ( long l ) const

Integer operator>> ( int l ) const

Integer & operator>>= ( unsigned long l )

Integer & operator>>= ( unsigned int l )

Integer & operator>>= ( long l )

Integer & operator>>= ( int l )

unsigned long operator[] ( size_t i ) const [inline]

std::ostream & print ( std::ostream & o ) const

int priv_sign ( ) [inline, protected]

Integer & random ( Integer & r,

long size = 1

) [inline, static]

Integer & random ( Integer & r,

const Integer & size

) [inline, static]

Integer random ( int sz = 1 ) [inline, static]

size_t size ( ) [inline]

size_t size_in_base ( int B ) const [inline]

Integer & sub ( Integer & res,

const Integer & n1,

const unsigned long n2

) [static]

Integer & sub ( Integer & res,

const Integer & n1,

const long n2

) [static]

Integer & sub ( Integer & res,

const Integer & n1,

const Integer & n2

) [static]

Integer & subin ( Integer & res,

const unsigned long n

) [static]

Integer & subin ( Integer & res,

const long n

) [static]

Integer & subin ( Integer & res,

const Integer & n

) [static]

Friends And Related Function Documentation

Integer abs ( const Integer & n ) [friend]

int absCompare ( const Integer & a,

const Integer & b

) [friend]

std::ostream& absOutput ( std::ostream & o,

const Integer & n

) [friend]

int compare ( const Integer & a,

const Integer & b

) [friend]

Integer fact ( unsigned long l ) [friend]

Integer& gcd ( Integer & g,

const Integer & a,

const Integer & b,

Integer & u,

Integer & v

) [friend]

Integer& gcd ( Integer & g,

const Integer & a,

const Integer & b

) [friend]

Integer gcd ( const Integer & a,

const Integer & b,

Integer & u,

Integer & v

) [friend]

Integer gcd ( const Integer & a,

const Integer & b

) [friend]

void importWords ( Integer & x,

size_t count,

int order,

int size,

int endian,

size_t nails,

const void * op

) [friend]

double Integer2double ( const Integer & n ) [friend]

long Integer2long ( const Integer & n ) [friend]

std::string& Integer2string ( std::string & s,

const Integer & n,

int base = 10

) [friend]

vect_t& Integer2vector ( vect_t & v,

const Integer & n

) [friend]

Integer& inv ( Integer & u,

const Integer & a,

const Integer & b

) [friend]

int isOne ( const Integer & a ) [friend]

int isperfectpower ( const Integer & n ) [friend]

int isZero ( const Integer & a ) [friend]

int jacobi ( const Integer & u,

const Integer & v

) [friend]

Integer lcm ( const Integer & a,

const Integer & b

) [friend]

Integer& lcm ( Integer & g,

const Integer & a,

const Integer & b

) [friend]

int legendre ( const Integer & u,

const Integer & v

) [friend]

unsigned long length ( const Integer & a ) [friend]

long logp ( const Integer & a,

const Integer & p

) [friend]

double logtwo ( const Integer & a ) [friend]

Integer& nextprime ( Integer & r,

const Integer & p

) [friend]

std::ostream& operator<< ( std::ostream & o,

const Integer & a

) [friend]

std::istream& operator>> ( std::istream & in,

Integer & a

) [friend]

Integer pow ( const Integer & n,

const unsigned int l

) [friend]

Integer pow ( const Integer & n,

const int l

) [friend]

Integer pow ( const Integer & n,

const unsigned long p

) [friend]

Integer pow ( const Integer & n,

const long l

) [friend]

Integer& pow ( Integer & Res,

const Integer & n,

const unsigned int l

) [friend]

Integer& pow ( Integer & Res,

const Integer & n,

const int l

) [friend]

Integer& pow ( Integer & Res,

const Integer & n,

const unsigned long p

) [friend]

Integer& pow ( Integer & Res,

const unsigned long n,

const unsigned long p

) [friend]

Integer& pow ( Integer & Res,

const Integer & n,

const long l

) [friend]

Integer powmod ( const Integer & n,

const Integer & e,

const Integer & m

) [friend]

Integer powmod ( const Integer & n,

const int e,

const Integer & m

) [friend]

Integer powmod ( const Integer & n,

const unsigned int e,

const Integer & m

) [friend]

Integer powmod ( const Integer & n,

const long e,

const Integer & m

) [friend]

Integer powmod ( const Integer & n,

const unsigned long p,

const Integer & m

) [friend]

Integer& powmod ( Integer & Res,

const Integer & n,

const Integer & e,

const Integer & m

) [friend]

Integer& powmod ( Integer & Res,

const Integer & n,

const int e,

const Integer & m

) [friend]

Integer& powmod ( Integer & Res,

const Integer & n,

const unsigned int e,

const Integer & m

) [friend]

Integer& powmod ( Integer & Res,

const Integer & n,

const long e,

const Integer & m

) [friend]

Integer& powmod ( Integer & Res,

const Integer & n,

const unsigned long p,

const Integer & m

) [friend]

Integer pp ( const Integer & P,

const Integer & Q

) [friend]

Integer& prevprime ( Integer & r,

const Integer & p

) [friend]

int probab_prime ( const Integer & p,

int r

) [friend]

int probab_prime ( const Integer & p ) [friend]

bool root ( Integer & q,

const Integer & a,

unsigned int n

) [friend]

int sign ( const Integer & a ) [friend]

Integer sqrt ( const Integer & a,

Integer & r

) [friend]

Integer sqrt ( const Integer & a ) [friend]

void swap ( Integer & a,

Integer & b

) [friend]

Member Data Documentation

Rep gmp_rep [protected]

const Integer one [static]

const Integer zero [static]

Generated on Mon Jun 20 09:16:51 2005 for linbox by

1.2.18


Public Types
typedef std::vector< mp_limb_t >	vect_t
Public Methods
	Integer (const std::vector< mp_limb_t > &vect_t)
	Integer (int n=0)
	Integer (long n)
	Integer (unsigned char n)
	Integer (unsigned int n)
	Integer (unsigned long n)
	Integer (long long n)
	Integer (unsigned long long n)
	Integer (double d)
	Integer (const char *s)
	Integer (const Integer &n)
	~Integer ()
Integer &	operator= (const Integer &n)
Integer &	logcpy (const Integer &n)
Integer &	copy (const Integer &n)
int	operator!= (const int l) const
int	operator!= (const long l) const
int	operator!= (const unsigned long l) const
int	operator> (const int l) const
int	operator> (const long l) const
int	operator< (const int l) const
int	operator< (const long l) const
int	operator> (const unsigned long l) const
int	operator< (const unsigned long l) const
Integer &	operator+= (const Integer &n)
Integer &	operator+= (const unsigned long l)
Integer &	operator+= (const long l)
Integer	operator+ (const Integer &n) const
Integer	operator+ (const unsigned long l) const
Integer	operator+ (const long l) const
template<class XXX> Integer &	operator+= (const XXX &x)
Integer &	operator-= (const Integer &n)
Integer &	operator-= (const unsigned long l)
Integer &	operator-= (const long l)
template<class XXX> Integer &	operator-= (const XXX &x)
Integer	operator- (const Integer &n) const
Integer	operator- (const unsigned long l) const
Integer	operator- (const long l) const
Integer	operator- () const
Integer &	operator *= (const Integer &n)
Integer &	operator *= (const unsigned long l)
Integer &	operator *= (const long l)
template<class XXX> Integer &	operator *= (const XXX &x)
Integer	operator * (const Integer &n) const
Integer	operator * (const unsigned long l) const
Integer	operator * (const long l) const
Integer &	operator/= (const Integer &n)
Integer &	operator/= (const unsigned long l)
Integer &	operator/= (const long l)
template<class XXX> Integer &	operator/= (const XXX &x)
Integer	operator/ (const Integer &n) const
Integer	operator/ (const unsigned long l) const
Integer	operator/ (const long l) const
Integer &	operator%= (const Integer &n)
Integer &	operator%= (const unsigned long l)
Integer &	operator%= (const long l)
Integer &	operator%= (const long long l)
Integer &	operator%= (const unsigned long long l)
long long	operator% (const long long l) const
long long	operator% (const unsigned long long l) const
template<class XXX> Integer &	operator%= (const XXX &x)
Integer	operator% (const Integer &n) const
long	operator% (const unsigned long l) const
long	operator% (const long l) const
Integer &	operator++ ()
Integer &	operator-- ()
Integer	operator<< (int l) const
Integer	operator>> (int l) const
Integer	operator<< (long l) const
Integer	operator>> (long l) const
Integer	operator<< (unsigned int l) const
Integer	operator>> (unsigned int l) const
Integer	operator<< (unsigned long l) const
Integer	operator>> (unsigned long l) const
Integer &	operator<<= (int l)
Integer &	operator>>= (int l)
Integer &	operator<<= (long l)
Integer &	operator>>= (long l)
Integer &	operator<<= (unsigned int l)
Integer &	operator>>= (unsigned int l)
Integer &	operator<<= (unsigned long l)
Integer &	operator>>= (unsigned long l)
size_t	size () const
size_t	size_in_base (int B) const
size_t	bitsize () const
unsigned long	operator[] (size_t i) const
	operator short () const
	operator unsigned short () const
	operator unsigned char () const
	operator signed char () const
	operator unsigned int () const
	operator int () const
	operator unsigned long () const
	operator long () const
	operator unsigned long long () const
	operator long long () const
	operator std::string () const
	operator float () const
	operator double () const
	operator vect_t () const
std::ostream &	print (std::ostream &o) const
mpz_ptr	get_mpz ()
const Rep *	get_rep () const
Static Public Methods
Integer &	addin (Integer &res, const Integer &n)
Integer &	addin (Integer &res, const long n)
Integer &	addin (Integer &res, const unsigned long n)
Integer &	add (Integer &res, const Integer &n1, const Integer &n2)
Integer &	add (Integer &res, const Integer &n1, const long n2)
Integer &	add (Integer &res, const Integer &n1, const unsigned long n2)
Integer &	subin (Integer &res, const Integer &n)
Integer &	subin (Integer &res, const long n)
Integer &	subin (Integer &res, const unsigned long n)
Integer &	sub (Integer &res, const Integer &n1, const Integer &n2)
Integer &	sub (Integer &res, const Integer &n1, const long n2)
Integer &	sub (Integer &res, const Integer &n1, const unsigned long n2)
Integer &	negin (Integer &res)
Integer &	neg (Integer &res, const Integer &n)
Integer &	mulin (Integer &res, const Integer &n)
Integer &	mulin (Integer &res, const long n)
Integer &	mulin (Integer &res, const unsigned long n)
Integer &	mul (Integer &res, const Integer &n1, const Integer &n2)
Integer &	mul (Integer &res, const Integer &n1, const long n2)
Integer &	mul (Integer &res, const Integer &n1, const unsigned long n2)
Integer &	axpy (Integer &res, const Integer &a, const Integer &x, const Integer &y)
Integer &	axpyin (Integer &res, const Integer &a, const Integer &x)
Integer &	axmy (Integer &res, const Integer &a, const Integer &x, const Integer &y)
Integer &	axmyin (Integer &res, const Integer &a, const Integer &x)
Integer &	divin (Integer &q, const Integer &n)
Integer &	divin (Integer &q, const long n)
Integer &	divin (Integer &q, const unsigned long n)
Integer &	div (Integer &q, const Integer &n1, const Integer &n2)
Integer &	div (Integer &q, const Integer &n1, const long n2)
Integer &	div (Integer &q, const Integer &n1, const unsigned long n2)
Integer &	divexact (Integer &q, const Integer &n1, const Integer &n2)
Integer	divexact (const Integer &n1, const Integer &n2)
Integer &	modin (Integer &r, const Integer &n)
Integer &	modin (Integer &r, const long n)
Integer &	modin (Integer &r, const unsigned long n)
Integer &	mod (Integer &r, const Integer &n1, const Integer &n2)
Integer &	mod (Integer &r, const Integer &n1, const long n2)
Integer &	mod (Integer &r, const Integer &n1, const unsigned long n2)
Integer &	divmod (Integer &q, Integer &r, const Integer &n1, const Integer &n2)
Integer &	divmod (Integer &q, long &r, const Integer &n1, const long n2)
Integer &	divmod (Integer &q, unsigned long &r, const Integer &n1, const unsigned long n2)
Integer	random (int sz=1)
Integer	nonzerorandom (int sz=1)
Integer &	random (Integer &r, const Integer &size)
Integer &	nonzerorandom (Integer &r, const Integer &size)
Integer &	random (Integer &r, long size=1)
Integer &	nonzerorandom (Integer &r, long size=1)
Static Public Attributes
const Integer	zero
const Integer	one
Protected Types
typedef MP_INT	Rep
Protected Methods
int	priv_sign () const
	Integer (unsigned long *d, long size)
Protected Attributes
Rep	gmp_rep
Friends
int	compare (const Integer &a, const Integer &b)
int	absCompare (const Integer &a, const Integer &b)
Integer &	inv (Integer &u, const Integer &a, const Integer &b)
Integer	gcd (const Integer &a, const Integer &b)
Integer	gcd (const Integer &a, const Integer &b, Integer &u, Integer &v)
Integer &	gcd (Integer &g, const Integer &a, const Integer &b)
Integer &	gcd (Integer &g, const Integer &a, const Integer &b, Integer &u, Integer &v)
Integer	pp (const Integer &P, const Integer &Q)
Integer &	lcm (Integer &g, const Integer &a, const Integer &b)
Integer	lcm (const Integer &a, const Integer &b)
Integer &	pow (Integer &Res, const Integer &n, const long l)
Integer &	pow (Integer &Res, const unsigned long n, const unsigned long l)
Integer &	pow (Integer &Res, const Integer &n, const unsigned long l)
Integer &	pow (Integer &Res, const Integer &n, const int l)
Integer &	pow (Integer &Res, const Integer &n, const unsigned int l)
Integer	pow (const Integer &n, const long l)
Integer	pow (const Integer &n, const unsigned long l)
Integer	pow (const Integer &n, const int l)
Integer	pow (const Integer &n, const unsigned int l)
Integer &	powmod (Integer &Res, const Integer &n, const unsigned long e, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const long e, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const unsigned int e, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const int e, const Integer &m)
Integer &	powmod (Integer &Res, const Integer &n, const Integer &e, const Integer &m)
Integer	powmod (const Integer &n, const unsigned long e, const Integer &m)
Integer	powmod (const Integer &n, const long e, const Integer &m)
Integer	powmod (const Integer &n, const unsigned int e, const Integer &m)
Integer	powmod (const Integer &n, const int e, const Integer &m)
Integer	powmod (const Integer &n, const Integer &e, const Integer &m)
Integer	fact (unsigned long l)
Integer	sqrt (const Integer &p)
Integer	sqrt (const Integer &p, Integer &r)
bool	root (Integer &q, const Integer &, unsigned int n)
long	logp (const Integer &a, const Integer &p)
double	logtwo (const Integer &a)
void	swap (Integer &, Integer &)
int	sign (const Integer &a)
int	isZero (const Integer &a)
int	isOne (const Integer &a)
int	isperfectpower (const Integer &)
Integer	abs (const Integer &n)
Integer &	nextprime (Integer &, const Integer &p)
Integer &	prevprime (Integer &, const Integer &p)
int	probab_prime (const Integer &p)
int	probab_prime (const Integer &p, int r)
int	jacobi (const Integer &u, const Integer &v)
int	legendre (const Integer &u, const Integer &v)
unsigned long	length (const Integer &a)
long	Integer2long (const Integer &n)
vect_t &	Integer2vector (vect_t &v, const Integer &n)
double	Integer2double (const Integer &n)
std::string &	Integer2string (std::string &, const Integer &, int base=10)
std::istream &	operator>> (std::istream &i, Integer &n)
std::ostream &	operator<< (std::ostream &o, const Integer &n)
std::ostream &	absOutput (std::ostream &o, const Integer &n)
void	importWords (Integer &x, size_t count, int order, int size, int endian, size_t nails, const void *op)