#include <givspyinteger.h>

Inheritance diagram for SpyInteger::InHeritsInteger:

Collaboration diagram for SpyInteger::InHeritsInteger:

Public Types
typedef std::vector< mp_limb_t >	vect_t
	vector of limbs (ie a gmp number). More...

Public Member Functions
Assignment and copy operators
giv_all_inlined Integer &	logcpy (const Integer &n)
	copy from an integer. More...

giv_all_inlined Integer &	copy (const Integer &n)
	copy from an integer. More...

Comparison operators.
Compare with operators.
giv_all_inlined int32_t	operator>= (const Integer &l) const
	greater or equal. More...

giv_all_inlined int32_t	operator>= (const int32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator>= (const int64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator>= (const uint64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator>= (const uint32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator>= (const double l) const
	greater or equal. More...

giv_all_inlined int32_t	operator>= (const float l) const
	greater or equal. More...

giv_all_inlined int32_t	operator<= (const Integer &l) const
	less or equal More...

giv_all_inlined int32_t	operator<= (const int32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator<= (const int64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator<= (const uint64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator<= (const uint32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator<= (const double l) const
	greater or equal. More...

giv_all_inlined int32_t	operator<= (const float l) const
	greater or equal. More...

giv_all_inlined int32_t	operator!= (const Integer &l) const
	operator != (not equal) More...

giv_all_inlined int32_t	operator!= (const int32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator!= (const int64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator!= (const uint64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator!= (const uint32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator!= (const double l) const
	greater or equal. More...

giv_all_inlined int32_t	operator!= (const float l) const
	greater or equal. More...

giv_all_inlined int32_t	operator== (const Integer &l) const
	Equality. More...

giv_all_inlined int32_t	operator== (const int32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator== (const int64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator== (const uint64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator== (const uint32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator== (const double l) const
	greater or equal. More...

giv_all_inlined int32_t	operator== (const float l) const
	greater or equal. More...

giv_all_inlined int32_t	operator> (const Integer &l) const
	greater (strict) More...

giv_all_inlined int32_t	operator> (const int32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator> (const int64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator> (const uint64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator> (const uint32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator> (const double l) const
	greater or equal. More...

giv_all_inlined int32_t	operator> (const float l) const
	greater or equal. More...

giv_all_inlined int32_t	operator< (const Integer &l) const
	less (strict) More...

giv_all_inlined int32_t	operator< (const int32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator< (const int64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator< (const uint64_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator< (const uint32_t l) const
	greater or equal. More...

giv_all_inlined int32_t	operator< (const double l) const
	greater or equal. More...

giv_all_inlined int32_t	operator< (const float l) const
	greater or equal. More...

Bit logic operators. <br>
giv_all_inlined Integer	operator^ (const Integer &a) const
	XOR (^) More...

giv_all_inlined Integer	operator^ (const uint64_t &a) const
	XOR (^) More...

giv_all_inlined Integer	operator^ (const uint32_t &a) const
	XOR (^) More...

giv_all_inlined Integer &	operator^= (const Integer &a)
	XOR inplace (^=) More...

giv_all_inlined Integer &	operator^= (const uint64_t &a)
	XOR (^) More...

giv_all_inlined Integer &	operator^= (const uint32_t &a)
	XOR (^) More...

giv_all_inlined Integer	operator\| (const Integer &a) const
	OR (\|) More...

giv_all_inlined Integer	operator\| (const uint64_t &a) const
	XOR (^) More...

giv_all_inlined Integer	operator\| (const uint32_t &a) const
	XOR (^) More...

giv_all_inlined Integer &	operator\|= (const Integer &a)
	OR inplace (\|=) More...

giv_all_inlined Integer &	operator\|= (const uint64_t &a)
	XOR (^) More...

giv_all_inlined Integer &	operator\|= (const uint32_t &a)
	XOR (^) More...

giv_all_inlined Integer	operator& (const Integer &a) const
	AND (&) More...

giv_all_inlined uint32_t	operator& (const uint32_t &a) const
	XOR (^) More...

giv_all_inlined uint64_t	operator& (const uint64_t &a) const
	XOR (^) More...

giv_all_inlined Integer &	operator&= (const Integer &a)
	AND inplace (&=) More...

giv_all_inlined Integer &	operator&= (const uint64_t &a)
	XOR (^) More...

giv_all_inlined Integer &	operator&= (const uint32_t &a)
	XOR (^) More...

giv_all_inlined Integer	operator~ () const
	complement to 1 (~) More...

giv_all_inlined Integer	operator<< (int32_t l) const
	left shift (<<) More...

giv_all_inlined Integer	operator<< (int64_t l) const
	XOR (^) More...

giv_all_inlined Integer	operator<< (uint32_t l) const
	XOR (^) More...

giv_all_inlined Integer	operator<< (uint64_t l) const
	XOR (^) More...

giv_all_inlined Integer &	operator<<= (int32_t l)
	left shift inplace (<<=) More...

giv_all_inlined Integer &	operator<<= (int64_t l)
	XOR (^) More...

giv_all_inlined Integer &	operator<<= (uint32_t l)
	XOR (^) More...

giv_all_inlined Integer &	operator<<= (uint64_t l)
	XOR (^) More...

giv_all_inlined Integer	operator>> (int32_t l) const
	right shift (>>) More...

giv_all_inlined Integer	operator>> (int64_t l) const
	XOR (^) More...

giv_all_inlined Integer	operator>> (uint32_t l) const
	XOR (^) More...

giv_all_inlined Integer	operator>> (uint64_t l) const
	XOR (^) More...

giv_all_inlined Integer &	operator>>= (int32_t l)
	right shift inplace (>>=) More...

giv_all_inlined Integer &	operator>>= (int64_t l)
	XOR (^) More...

giv_all_inlined Integer &	operator>>= (uint32_t l)
	XOR (^) More...

giv_all_inlined Integer &	operator>>= (uint64_t l)
	XOR (^) More...

Addition, substraction, multiplication operators
giv_all_inlined Integer	operator+ (const Integer &n) const
	operator `+`. More...

giv_all_inlined Integer	operator+ (const uint64_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator+ (const int64_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator+ (const uint32_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator+ (const int32_t n) const
	operator `+`. More...

giv_all_inlined Integer &	operator+= (const Integer &n)
	operator `+=` . More...

giv_all_inlined Integer &	operator+= (const uint64_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator+= (const int64_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator+= (const uint32_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator+= (const int32_t n)
	operator `+`. More...

template<class XXX >
Integer &	operator+= (const XXX &n)
	operator `+`. More...

giv_all_inlined Integer	operator- (const Integer &n) const
	operator `-`. More...

giv_all_inlined Integer	operator- (const uint64_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator- (const int64_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator- (const uint32_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator- (const int32_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator- () const
	Opposite. More...

giv_all_inlined Integer &	operator-= (const Integer &n)
	operator `-=` . More...

giv_all_inlined Integer &	operator-= (const uint64_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator-= (const int64_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator-= (const uint32_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator-= (const int32_t n)
	operator `+`. More...

template<class XXX >
Integer &	operator-= (const XXX &n)
	operator `+`. More...

giv_all_inlined Integer	operator* (const Integer &n) const
	operator `*`. More...

giv_all_inlined Integer	operator* (const uint64_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator* (const int64_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator* (const uint32_t n) const
	operator `+`. More...

giv_all_inlined Integer	operator* (const int32_t n) const
	operator `+`. More...

giv_all_inlined Integer &	operator*= (const Integer &n)
	operator `*=` . More...

giv_all_inlined Integer &	operator*= (const uint64_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator*= (const int64_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator*= (const uint32_t n)
	operator `+`. More...

giv_all_inlined Integer &	operator*= (const int32_t n)
	operator `+`. More...

template<class XXX >
Integer &	operator*= (const XXX &n)
	operator `+`. More...

Miscellaneous.
int32_t	sign () const
	sign More...

int32_t	priv_sign () const
	private sign More...

representation
get representation
mpz_ptr	get_mpz ()
	get representation (constant) More...

mpz_srcptr	get_mpz () const
	get representation (constant) More...

mpz_srcptr	get_mpz_const () const
	get representation (constant) More...

giv_all_inlined size_t	size () const
	returns the number of machine words used to store *this More...

giv_all_inlined size_t	size_in_base (int32_t B) const
	returns `ceil(log_BASE(*this))`. More...

giv_all_inlined size_t	bitsize () const
	returns `ceil(log_2(*this))` . More...

giv_all_inlined uint64_t	operator[] (size_t i) const
	return the i-th word of the integer. More...

Increment/Decrement operators
Integer &	operator++ ()

Integer	operator++ (int)

Integer &	operator-- ()

Integer	operator-- (int)

Cast operators.
Convert an Integer to a basic C++ type. Warning Cast towards unsigned consider only the absolute value
	operator bool () const

	operator int16_t () const

	operator uint16_t () const

	operator unsigned char () const

giv_all_inlined	operator uint32_t () const

giv_all_inlined	operator int32_t () const

	operator signed char () const

giv_all_inlined	operator uint64_t () const

giv_all_inlined	operator int64_t () const

giv_all_inlined	operator std::string () const

giv_all_inlined	operator float () const

giv_all_inlined	operator double () const

giv_all_inlined	operator vect_t () const

template<size_t K>
	operator RecInt::ruint< K > () const

template<size_t K>
	operator RecInt::rint< K > () const

I/O
giv_all_inlined std::ostream &	print (std::ostream &o) const
	print32_t integer. More...

Static Public Member Functions
static const std::string	type_string ()

Comparisons functions.
template<class A , class B >
static giv_all_inlined bool	isleq (const A &a, const B &b)
	isleq More...

Addition, substraction, multiplication
static giv_all_inlined Integer &	addin (Integer &res, const Integer &n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	addin (Integer &res, const int64_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	addin (Integer &res, const uint64_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	addin (Integer &res, const int32_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	addin (Integer &res, const uint32_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	add (Integer &res, const Integer &n1, const Integer &n2)
	Addition `res=n1+n2`. More...

static giv_all_inlined Integer &	add (Integer &res, const Integer &n1, const int64_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	add (Integer &res, const Integer &n1, const uint64_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	add (Integer &res, const Integer &n1, const int32_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	add (Integer &res, const Integer &n1, const uint32_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	subin (Integer &res, const Integer &n)
	Substraction (inplace) `res-=n`. More...

static giv_all_inlined Integer &	subin (Integer &res, const int64_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	subin (Integer &res, const uint64_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	subin (Integer &res, const int32_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	subin (Integer &res, const uint32_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	sub (Integer &res, const Integer &n1, const Integer &n2)
	Substraction `res=n1-n2`. More...

static giv_all_inlined Integer &	sub (Integer &res, const Integer &n1, const int64_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	sub (Integer &res, const Integer &n1, const uint64_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	sub (Integer &res, const Integer &n1, const int32_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	sub (Integer &res, const Integer &n1, const uint32_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	negin (Integer &res)
	Negation (inplace) `res=-res`. More...

static giv_all_inlined Integer &	neg (Integer &res, const Integer &n)
	Negation `res=-n`. More...

static giv_all_inlined Integer &	mulin (Integer &res, const Integer &n)
	Multiplication (inplace) `res*=n`. More...

static giv_all_inlined Integer &	mulin (Integer &res, const int64_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	mulin (Integer &res, const uint64_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	mulin (Integer &res, const int32_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	mulin (Integer &res, const uint32_t n)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	mul (Integer &res, const Integer &n1, const Integer &n2)
	Multiplication `res=n1*n2`. More...

static giv_all_inlined Integer &	mul (Integer &res, const Integer &n1, const int64_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	mul (Integer &res, const Integer &n1, const uint64_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	mul (Integer &res, const Integer &n1, const int32_t n2)
	Addition (inplace) `res+=n`. More...

static giv_all_inlined Integer &	mul (Integer &res, const Integer &n1, const uint32_t n2)
	Addition (inplace) `res+=n`. More...

fused add-multiply
Groups a multiplication and an addition/division in a single function. This is usually faster than doing the two operations separately (and preferable to using operators).
static giv_all_inlined Integer &	axpy (Integer &res, const Integer &a, const Integer &x, const Integer &y)
	axpy `res = ax+y`. More...

static giv_all_inlined Integer &	axpy (Integer &res, const Integer &a, const uint64_t x, const Integer &y)
	axpy `res = ax+y`. More...

static giv_all_inlined Integer &	axpyin (Integer &res, const Integer &a, const Integer &x)
	axpyin (inplace) `res += ax`. More...

static giv_all_inlined Integer &	axpyin (Integer &res, const Integer &a, const uint64_t x)
	axpy `res = ax+y`. More...

static giv_all_inlined Integer &	maxpy (Integer &res, const Integer &a, const Integer &x, const Integer &y)
	maxpy `res = y - ax`. More...

static giv_all_inlined Integer &	maxpy (Integer &res, const Integer &a, const uint64_t x, const Integer &y)
	axpy `res = ax+y`. More...

static giv_all_inlined Integer &	maxpyin (Integer &res, const Integer &a, const Integer &x)
	maxpyin `res -= ax`. More...

static giv_all_inlined Integer &	maxpyin (Integer &res, const Integer &a, const uint64_t x)
	axpy `res = ax+y`. More...

static giv_all_inlined Integer &	axmy (Integer &res, const Integer &a, const Integer &x, const Integer &y)
	axmy `res = ax - y`. More...

static giv_all_inlined Integer &	axmy (Integer &res, const Integer &a, const uint64_t x, const Integer &y)
	axpy `res = ax+y`. More...

static giv_all_inlined Integer &	axmyin (Integer &res, const Integer &a, const Integer &x)
	axmyin (in place) `res = ax - res`. More...

static giv_all_inlined Integer &	axmyin (Integer &res, const Integer &a, const uint64_t x)
	axpy `res = ax+y`. More...

Random numbers functions
Other stuff gmp has (temporary)
static void	seeding (uint64_t s)
	Random numbers (no doc) More...

static void	seeding (const Integer &s)
	Random numbers (no doc) More...

static void	seeding ()
	Random numbers (no doc) More...

static bool	RandBool ()
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE>
static Integer &	random_lessthan (Integer &r, const Integer &m)
	returns a random integer `r` in the intervall `[[x, m-1]]` where x = 0 or -(m-1) according to `ALWAYSPOSITIVE` More...

static Integer &	random_lessthan (Integer &r, const Integer &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE>
static Integer &	random_lessthan (Integer &r, const uint64_t &m)
	Random numbers (no doc) More...

static Integer &	random_lessthan (Integer &r, const uint64_t &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE, class T >
static Integer	random_lessthan (const T &m)
	Random numbers (no doc) More...

template<class T >
static Integer	random_lessthan (const T &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE>
static Integer &	random_lessthan_2exp (Integer &r, const uint64_t &m)
	returns a random integer `r` in the intervall `[[x, 2^m-1]]` where x = 0 or -(2^m-1) according to `ALWAYSPOSITIVE` returns a random integer `r` of at most `m` bits More...

static Integer &	random_lessthan_2exp (Integer &r, const uint64_t &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE>
static Integer	random_lessthan_2exp (const uint64_t &m)
	Random numbers (no doc) More...

static Integer	random_lessthan_2exp (const uint64_t &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE>
static Integer &	random_exact_2exp (Integer &r, const uint64_t &m)
	returns a reference to a random number `r` of the size `m` bits, exactly. More...

static Integer &	random_exact_2exp (Integer &r, const uint64_t &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE>
static Integer &	random_exact (Integer &r, const Integer &s)
	returns a reference to a random number `r` of the size of `s`, exactly. More...

static Integer &	random_exact (Integer &r, const Integer &s)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE>
static Integer &	random_exact (Integer &r, const uint64_t &m)
	Random numbers (no doc) More...

static Integer &	random_exact (Integer &r, const uint64_t &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE, class T >
static Integer &	random_exact (Integer &r, const T &m)
	Random numbers (no doc) More...

template<class T >
static Integer &	random_exact (Integer &r, const T &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE, class T >
static Integer	random_exact (const T &s)
	Random numbers (no doc) More...

template<class T >
static Integer	random_exact (const T &s)
	Random numbers (no doc) More...

static Integer &	random_between (Integer &r, const Integer &m, const Integer &M)
	Random numbers (no doc) More...

static Integer	random_between (const Integer &m, const Integer &M)
	Random numbers (no doc) More...

static Integer &	random_between (Integer &r, const uint64_t &m, const uint64_t &M)
	Random numbers (no doc) More...

static Integer	random_between (const uint64_t &m, const uint64_t &M)
	Random numbers (no doc) More...

template<class R >
static Integer	random_between (const R &m, const R &M)
	Random numbers (no doc) More...

template<class R >
static Integer &	random_between (Integer &r, const R &m, const R &M)
	Random numbers (no doc) More...

static Integer &	random_between_2exp (Integer &r, const uint64_t &m, const uint64_t &M)
	Random numbers (no doc) More...

static Integer	random_between_2exp (const uint64_t &m, const uint64_t &M)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE, class T >
static Integer &	random (Integer &r, const T &m)
	returns a random integer less than... More...

template<class T >
static Integer &	random (Integer &r, const T &m)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE, class T >
static Integer	random (const T &sz)
	returns a random integer less than... More...

template<class T >
static Integer	random (const T &sz)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE>
static Integer	random ()
	Random numbers (no doc) More...

static Integer	random ()
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE, class T >
static Integer	nonzerorandom (const T &sz)
	Random numbers (no doc) More...

template<bool ALWAYSPOSITIVE, class T >
static Integer &	nonzerorandom (Integer &r, const T &size)
	Random numbers (no doc) More...

template<class T >
static Integer	nonzerorandom (const T &sz)
	Random numbers (no doc) More...

template<class T >
static Integer &	nonzerorandom (Integer &r, const T &size)
	Random numbers (no doc) More...

static Integer	nonzerorandom ()
	Random numbers (no doc) More...

Static Public Attributes
static const Integer	zero
	zero (0) More...

static const Integer	one
	one (1) More...

static const Integer	mOne
	minus one (-1) More...

Protected Types
typedef __mpz_struct	Rep

Protected Member Functions
const Rep *	get_rep () const

Protected Attributes
Rep	gmp_rep

Friends
struct	SpyInteger

Division/euclidean division/modulo
The convention for rounding are the following : `q = a/b`, or equivalent operations with the name `div` or `divin`, return `q` rounded towards `0`, in the same manner as C's '/' (truncated division). `r = a % b` behaves like C %. The modulo function % rounds towards 0 and the sign of the dividend is preserved. This is : $a= b q + r, \text{with } \vert r\vert < \vert b\vert \text{ and } a r \geq 0$ `r = a mod b` or similar functions have the same behaviour as GMP `mpz_mod`, that is the remainder is always positive (>=0). This is the division algorithm convention that is used (see `divmod`). In a formula : $a= b q + r, \text{with } 0 \leq r < \vert b\vert$ Warning if `q=a/b` and `r= a % b` then `a = b q + r` is always true (with in addition `0 <= \|r\| < \|b\|`). This is also true for `divmod(q,a,b,r)` (and `0<=r<\|b\|`). However, one should not mix the two conventions and expect equalities (except if a>=0).
static giv_all_inlined Integer &	divin (Integer &q, const Integer &d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	divin (Integer &q, const int64_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	divin (Integer &q, const uint64_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	div (Integer &q, const Integer &n, const Integer &d)
	Division `q=n/d`. More...

static giv_all_inlined Integer &	div (Integer &q, const Integer &n, const int64_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	div (Integer &q, const Integer &n, const int32_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	div (Integer &q, const Integer &n, const uint64_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	divexact (Integer &q, const Integer &n, const Integer &d)
	Division when `d` divides `n`. More...

static giv_all_inlined Integer &	divexact (Integer &q, const Integer &n, const uint64_t &d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	divexact (Integer &q, const Integer &n, const int64_t &d)
	Division `q/=d`. More...

static giv_all_inlined Integer	divexact (const Integer &n, const Integer &d)
	Division when `d` divides `n`. More...

static giv_all_inlined Integer	divexact (const Integer &n, const uint64_t &d)
	Division `q/=d`. More...

static giv_all_inlined Integer	divexact (const Integer &n, const int64_t &d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	trem (Integer &r, const Integer &n, const Integer &d)
	Stuff. More...

static giv_all_inlined Integer &	trem (Integer &r, const Integer &n, const uint64_t &d)
	Stuff. More...

static giv_all_inlined uint64_t	trem (const Integer &n, const uint64_t &d)
	Stuff. More...

static giv_all_inlined Integer &	crem (Integer &r, const Integer &n, const Integer &d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	crem (Integer &r, const Integer &n, const uint64_t &d)
	Division `q/=d`. More...

static giv_all_inlined uint64_t	crem (const Integer &n, const uint64_t &d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	frem (Integer &r, const Integer &n, const Integer &d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	frem (Integer &r, const Integer &n, const uint64_t &d)
	Division `q/=d`. More...

static giv_all_inlined uint64_t	frem (const Integer &n, const uint64_t &d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	modin (Integer &r, const Integer &n)
	Function `mod` (inplace). More...

static giv_all_inlined Integer &	modin (Integer &r, const int64_t n)
	Division `q/=d`. More...

static giv_all_inlined Integer &	modin (Integer &r, const uint64_t n)
	Division `q/=d`. More...

static giv_all_inlined Integer &	mod (Integer &r, const Integer &n, const Integer &d)
	Function `mod`. More...

static giv_all_inlined Integer &	mod (Integer &r, const Integer &n, const int64_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	mod (Integer &r, const Integer &n, const uint64_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	mod (Integer &r, const Integer &n, const int32_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	mod (Integer &r, const Integer &n, const uint32_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	divmod (Integer &q, Integer &r, const Integer &n, const Integer &d)
	Euclidean division. More...

static giv_all_inlined Integer &	divmod (Integer &q, int64_t &r, const Integer &n, const int64_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	divmod (Integer &q, uint64_t &r, const Integer &n, const uint64_t d)
	Division `q/=d`. More...

static giv_all_inlined Integer &	ceil (Integer &res, const Integer &n, const Integer &d)
	rounding functions. More...

static giv_all_inlined Integer	ceil (const Integer &n, const Integer &d)
	rounding functions. More...

static giv_all_inlined Integer &	floor (Integer &res, const Integer &n, const Integer &d)

static giv_all_inlined Integer	floor (const Integer &n, const Integer &d)

static giv_all_inlined Integer &	trunc (Integer &res, const Integer &n, const Integer &d)

static giv_all_inlined Integer	trunc (const Integer &n, const Integer &d)

giv_all_inlined Integer	operator/ (const Integer &d) const
	Division operator. More...

giv_all_inlined Integer	operator/ (const uint64_t d) const
	Division `q/=d`. More...

giv_all_inlined Integer	operator/ (const int64_t d) const
	Division `q/=d`. More...

giv_all_inlined Integer	operator/ (const uint32_t d) const
	Division `q/=d`. More...

giv_all_inlined Integer	operator/ (const int32_t d) const
	Division `q/=d`. More...

giv_all_inlined Integer &	operator/= (const Integer &d)
	Division operator (inplace). More...

giv_all_inlined Integer &	operator/= (const uint64_t d)
	Division `q/=d`. More...

giv_all_inlined Integer &	operator/= (const int64_t d)
	Division `q/=d`. More...

giv_all_inlined Integer &	operator/= (const uint32_t d)
	Division `q/=d`. More...

giv_all_inlined Integer &	operator/= (const int32_t d)
	Division `q/=d`. More...

template<class XXX >
Integer &	operator/= (const XXX &d)
	Division `q/=d`. More...

giv_all_inlined Integer	operator% (const Integer &n) const
	Modulo operator. More...

giv_all_inlined int64_t	operator% (const uint64_t n) const
	Division `q/=d`. More...

giv_all_inlined int64_t	operator% (const int64_t n) const
	Division `q/=d`. More...

giv_all_inlined int32_t	operator% (const uint32_t n) const
	Division `q/=d`. More...

giv_all_inlined int32_t	operator% (const int32_t n) const
	Division `q/=d`. More...

giv_all_inlined double	operator% (const double n) const
	Division `q/=d`. More...

int16_t	operator% (const uint16_t n) const
	Division `q/=d`. More...

template<class XXX >
XXX	operator% (const XXX &n) const
	Division `q/=d`. More...

giv_all_inlined Integer &	operator%= (const Integer &n)
	Modulo operator (inplace). More...

giv_all_inlined Integer &	operator%= (const uint64_t n)
	Division `q/=d`. More...

giv_all_inlined Integer &	operator%= (const int64_t n)
	Division `q/=d`. More...

giv_all_inlined Integer &	operator%= (const uint32_t n)
	Division `q/=d`. More...

giv_all_inlined Integer &	operator%= (const int32_t n)
	Division `q/=d`. More...

template<class XXX >
Integer &	operator%= (const XXX &n)
	Division `q/=d`. More...

Member Typedef Documentation

◆ vect_t

typedef std::vector<mp_limb_t> vect_t

inherited

vector of limbs (ie a gmp number).

◆ Rep

typedef __mpz_struct Rep

protectedinherited

rep type

Member Function Documentation

◆ type_string()

static const std::string type_string ( )

inlinestaticinherited

◆ logcpy()

Integer & logcpy ( const Integer & n )

inherited

copy from an integer.

Parameters

n	integer to copy.

◆ copy()

Integer & copy ( const Integer & n )

inherited

copy from an integer.

Parameters

n	integer to copy.

◆ isleq()

static giv_all_inlined bool isleq	(	const A &	a,
		const B &	b
	)

inlinestaticinherited

isleq

Parameters

a,b

◆ operator>=() [1/7]

int32_t operator>= ( const Integer & l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>=() [2/7]

int32_t operator>= ( const int32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>=() [3/7]

int32_t operator>= ( const int64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>=() [4/7]

int32_t operator>= ( const uint64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>=() [5/7]

int32_t operator>= ( const uint32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>=() [6/7]

int32_t operator>= ( const double l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>=() [7/7]

int32_t operator>= ( const float l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<=() [1/7]

int32_t operator<= ( const Integer & l ) const

inherited

less or equal

Parameters

l	integer to be compared to

◆ operator<=() [2/7]

int32_t operator<= ( const int32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<=() [3/7]

int32_t operator<= ( const int64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<=() [4/7]

int32_t operator<= ( const uint64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<=() [5/7]

int32_t operator<= ( const uint32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<=() [6/7]

int32_t operator<= ( const double l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<=() [7/7]

int32_t operator<= ( const float l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator!=() [1/7]

int32_t operator!= ( const Integer & l ) const

inherited

operator != (not equal)

Parameters

l integer

Returns: 1 iff l == this

◆ operator!=() [2/7]

int32_t operator!= ( const int32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator!=() [3/7]

int32_t operator!= ( const int64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator!=() [4/7]

int32_t operator!= ( const uint64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator!=() [5/7]

int32_t operator!= ( const uint32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator!=() [6/7]

int32_t operator!= ( const double l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator!=() [7/7]

int32_t operator!= ( const float l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator==() [1/7]

int32_t operator== ( const Integer & l ) const

inherited

Equality.

Parameters

l	integer to be compared to

◆ operator==() [2/7]

int32_t operator== ( const int32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator==() [3/7]

int32_t operator== ( const int64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator==() [4/7]

int32_t operator== ( const uint64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator==() [5/7]

int32_t operator== ( const uint32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator==() [6/7]

int32_t operator== ( const double l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator==() [7/7]

int32_t operator== ( const float l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>() [1/7]

int32_t operator> ( const Integer & l ) const

inherited

greater (strict)

Parameters

l	integer to be compared to

◆ operator>() [2/7]

int32_t operator> ( const int32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>() [3/7]

int32_t operator> ( const int64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>() [4/7]

int32_t operator> ( const uint64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>() [5/7]

int32_t operator> ( const uint32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>() [6/7]

int32_t operator> ( const double l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator>() [7/7]

int32_t operator> ( const float l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<() [1/7]

int32_t operator< ( const Integer & l ) const

inherited

less (strict)

Parameters

l	integer to be compared to

◆ operator<() [2/7]

int32_t operator< ( const int32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<() [3/7]

int32_t operator< ( const int64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<() [4/7]

int32_t operator< ( const uint64_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<() [5/7]

int32_t operator< ( const uint32_t l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<() [6/7]

int32_t operator< ( const double l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator<() [7/7]

int32_t operator< ( const float l ) const

inherited

greater or equal.

Parameters

l	integer to be compared to

◆ operator^() [1/3]

Integer operator^ ( const Integer & a ) const

inherited

XOR (^)

Parameters

a integer

◆ operator^() [2/3]

Integer operator^ ( const uint64_t & a ) const

inherited

XOR (^)

Parameters

a integer

◆ operator^() [3/3]

Integer operator^ ( const uint32_t & a ) const

inherited

XOR (^)

Parameters

a integer

◆ operator^=() [1/3]

Integer & operator^= ( const Integer & a )

inherited

XOR inplace (^=)

Parameters

a integer

◆ operator^=() [2/3]

Integer & operator^= ( const uint64_t & a )

inherited

XOR (^)

Parameters

a integer

◆ operator^=() [3/3]

Integer & operator^= ( const uint32_t & a )

inherited

XOR (^)

Parameters

a integer

◆ operator|() [1/3]

Integer operator| ( const Integer & a ) const

inherited

OR (|)

Parameters

a integer

◆ operator|() [2/3]

Integer operator| ( const uint64_t & a ) const

inherited

XOR (^)

Parameters

a integer

◆ operator|() [3/3]

Integer operator| ( const uint32_t & a ) const

inherited

XOR (^)

Parameters

a integer

◆ operator|=() [1/3]

Integer & operator|= ( const Integer & a )

inherited

OR inplace (|=)

Parameters

a integer

◆ operator|=() [2/3]

Integer & operator|= ( const uint64_t & a )

inherited

XOR (^)

Parameters

a integer

◆ operator|=() [3/3]

Integer & operator|= ( const uint32_t & a )

inherited

XOR (^)

Parameters

a integer

◆ operator&() [1/3]

Integer operator& ( const Integer & a ) const

inherited

AND (&)

Parameters

a integer

◆ operator&() [2/3]

uint32_t operator& ( const uint32_t & a ) const

inherited

XOR (^)

Parameters

a integer

◆ operator&() [3/3]

uint64_t operator& ( const uint64_t & a ) const

inherited

XOR (^)

Parameters

a integer

◆ operator&=() [1/3]

Integer & operator&= ( const Integer & a )

inherited

AND inplace (&=)

Parameters

a integer

◆ operator&=() [2/3]

Integer & operator&= ( const uint64_t & a )

inherited

XOR (^)

Parameters

a integer

◆ operator&=() [3/3]

Integer & operator&= ( const uint32_t & a )

inherited

XOR (^)

Parameters

a integer

◆ operator~()

Integer operator~ ( ) const

inherited

complement to 1 (~)

◆ operator<<() [1/4]

Integer operator<< ( int32_t l ) const

inherited

left shift (<<)

Parameters

l shift

◆ operator<<() [2/4]

Integer operator<< ( int64_t l ) const

inherited

XOR (^)

Parameters

a integer

◆ operator<<() [3/4]

Integer operator<< ( uint32_t l ) const

inherited

XOR (^)

Parameters

a integer

◆ operator<<() [4/4]

Integer operator<< ( uint64_t l ) const

inherited

XOR (^)

Parameters

a integer

◆ operator<<=() [1/4]

Integer & operator<<= ( int32_t l )

inherited

left shift inplace (<<=)

Parameters

l shift

◆ operator<<=() [2/4]

Integer & operator<<= ( int64_t l )

inherited

XOR (^)

Parameters

a integer

◆ operator<<=() [3/4]

Integer & operator<<= ( uint32_t l )

inherited

XOR (^)

Parameters

a integer

◆ operator<<=() [4/4]

Integer & operator<<= ( uint64_t l )

inherited

XOR (^)

Parameters

a integer

◆ operator>>() [1/4]

Integer operator>> ( int32_t l ) const

inherited

right shift (>>)

Parameters

l shift

◆ operator>>() [2/4]

Integer operator>> ( int64_t l ) const

inherited

XOR (^)

Parameters

a integer

◆ operator>>() [3/4]

Integer operator>> ( uint32_t l ) const

inherited

XOR (^)

Parameters

a integer

◆ operator>>() [4/4]

Integer operator>> ( uint64_t l ) const

inherited

XOR (^)

Parameters

a integer

◆ operator>>=() [1/4]

Integer & operator>>= ( int32_t l )

inherited

right shift inplace (>>=)

Parameters

l shift

◆ operator>>=() [2/4]

Integer & operator>>= ( int64_t l )

inherited

XOR (^)

Parameters

a integer

◆ operator>>=() [3/4]

Integer & operator>>= ( uint32_t l )

inherited

XOR (^)

Parameters

a integer

◆ operator>>=() [4/4]

Integer & operator>>= ( uint64_t l )

inherited

XOR (^)

Parameters

a integer

◆ addin() [1/5]

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

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ addin() [2/5]

Integer & addin	(	Integer &	res,
		const int64_t	n
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ addin() [3/5]

Integer & addin	(	Integer &	res,
		const uint64_t	n
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ addin() [4/5]

static giv_all_inlined Integer& addin	(	Integer &	res,
		const int32_t	n
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ addin() [5/5]

static giv_all_inlined Integer& addin	(	Integer &	res,
		const uint32_t	n
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ add() [1/5]

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

staticinherited

Addition res=n1+n2.

Parameters

res	as in the formula
n1	as in the formula
n2	as in the formula

◆ add() [2/5]

Integer & add	(	Integer &	res,
		const Integer &	n1,
		const int64_t	n2
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ add() [3/5]

Integer & add	(	Integer &	res,
		const Integer &	n1,
		const uint64_t	n2
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ add() [4/5]

static giv_all_inlined Integer& add	(	Integer &	res,
		const Integer &	n1,
		const int32_t	n2
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ add() [5/5]

static giv_all_inlined Integer& add	(	Integer &	res,
		const Integer &	n1,
		const uint32_t	n2
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ subin() [1/5]

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

staticinherited

Substraction (inplace) res-=n.

Parameters

res	as in the formula
n	as in the formula

◆ subin() [2/5]

Integer & subin	(	Integer &	res,
		const int64_t	n
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ subin() [3/5]

Integer & subin	(	Integer &	res,
		const uint64_t	n
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ subin() [4/5]

static giv_all_inlined Integer& subin	(	Integer &	res,
		const int32_t	n
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ subin() [5/5]

static giv_all_inlined Integer& subin	(	Integer &	res,
		const uint32_t	n
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ sub() [1/5]

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

staticinherited

Substraction res=n1-n2.

Parameters

res	as in the formula
n1	as in the formula
n2	as in the formula

Examples: examples/Integer/Fibonacci.C.

◆ sub() [2/5]

Integer & sub	(	Integer &	res,
		const Integer &	n1,
		const int64_t	n2
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ sub() [3/5]

Integer & sub	(	Integer &	res,
		const Integer &	n1,
		const uint64_t	n2
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ sub() [4/5]

static giv_all_inlined Integer& sub	(	Integer &	res,
		const Integer &	n1,
		const int32_t	n2
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ sub() [5/5]

static giv_all_inlined Integer& sub	(	Integer &	res,
		const Integer &	n1,
		const uint32_t	n2
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ negin()

Integer & negin ( Integer & res )

staticinherited

Negation (inplace) res=-res.

Parameters

res	as in the formula

◆ neg()

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

staticinherited

Negation res=-n.

Parameters

n	as in the formula
res	as in the formula

◆ mulin() [1/5]

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

staticinherited

Multiplication (inplace) res*=n.

Parameters

res	as in the formula
n	as in the formula

◆ mulin() [2/5]

Integer & mulin	(	Integer &	res,
		const int64_t	n
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ mulin() [3/5]

Integer & mulin	(	Integer &	res,
		const uint64_t	n
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ mulin() [4/5]

static giv_all_inlined Integer& mulin	(	Integer &	res,
		const int32_t	n
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ mulin() [5/5]

static giv_all_inlined Integer& mulin	(	Integer &	res,
		const uint32_t	n
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ mul() [1/5]

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

staticinherited

Multiplication res=n1*n2.

Parameters

res	as in the formula
n1	as in the formula
n2	as in the formula

◆ mul() [2/5]

Integer & mul	(	Integer &	res,
		const Integer &	n1,
		const int64_t	n2
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ mul() [3/5]

Integer & mul	(	Integer &	res,
		const Integer &	n1,
		const uint64_t	n2
	)

staticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ mul() [4/5]

static giv_all_inlined Integer& mul	(	Integer &	res,
		const Integer &	n1,
		const int32_t	n2
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ mul() [5/5]

static giv_all_inlined Integer& mul	(	Integer &	res,
		const Integer &	n1,
		const uint32_t	n2
	)

inlinestaticinherited

Addition (inplace) res+=n.

Parameters

res	as in the formula
n	as in the formula

◆ operator+() [1/5]

Integer operator+ ( const Integer & n ) const

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+() [2/5]

Integer operator+ ( const uint64_t n ) const

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+() [3/5]

Integer operator+ ( const int64_t n ) const

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+() [4/5]

giv_all_inlined Integer operator+ ( const uint32_t n ) const

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+() [5/5]

giv_all_inlined Integer operator+ ( const int32_t n ) const

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+=() [1/6]

Integer & operator+= ( const Integer & n )

inherited

operator += .

Parameters

n	asfriend In the formula.

Returns: (*this) += n.

◆ operator+=() [2/6]

Integer & operator+= ( const uint64_t n )

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+=() [3/6]

Integer & operator+= ( const int64_t n )

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+=() [4/6]

giv_all_inlined Integer& operator+= ( const uint32_t n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+=() [5/6]

giv_all_inlined Integer& operator+= ( const int32_t n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator+=() [6/6]

Integer& operator+= ( const XXX & n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-() [1/6]

Integer operator- ( const Integer & n ) const

inherited

operator -.

Returns: (*this)-n

Parameters

n	as in the formula.

◆ operator-() [2/6]

Integer operator- ( const uint64_t n ) const

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-() [3/6]

Integer operator- ( const int64_t n ) const

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-() [4/6]

giv_all_inlined Integer operator- ( const uint32_t n ) const

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-() [5/6]

giv_all_inlined Integer operator- ( const int32_t n ) const

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-() [6/6]

Integer operator- ( ) const

inherited

Opposite.

Returns: -(*this).

◆ operator-=() [1/6]

Integer & operator-= ( const Integer & n )

inherited

operator -= .

Parameters

n	as in the formula.

Returns: (*this) -= n.

◆ operator-=() [2/6]

Integer & operator-= ( const uint64_t n )

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-=() [3/6]

Integer & operator-= ( const int64_t n )

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-=() [4/6]

giv_all_inlined Integer& operator-= ( const uint32_t n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-=() [5/6]

giv_all_inlined Integer& operator-= ( const int32_t n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator-=() [6/6]

Integer& operator-= ( const XXX & n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*() [1/5]

Integer operator* ( const Integer & n ) const

inherited

operator *.

Returns: (*this)*n

Parameters

n	as in the formula.

◆ operator*() [2/5]

Integer operator* ( const uint64_t n ) const

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*() [3/5]

Integer operator* ( const int64_t n ) const

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*() [4/5]

giv_all_inlined Integer operator* ( const uint32_t n ) const

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*() [5/5]

giv_all_inlined Integer operator* ( const int32_t n ) const

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*=() [1/6]

Integer & operator*= ( const Integer & n )

inherited

operator *= .

Parameters

n	as in the formula.

Returns: (*this) *= n.

◆ operator*=() [2/6]

Integer & operator*= ( const uint64_t n )

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*=() [3/6]

Integer & operator*= ( const int64_t n )

inherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*=() [4/6]

giv_all_inlined Integer& operator*= ( const uint32_t n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*=() [5/6]

giv_all_inlined Integer& operator*= ( const int32_t n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ operator*=() [6/6]

Integer& operator*= ( const XXX & n )

inlineinherited

operator +.

Returns: (*this)+n

Parameters

n	as in the formula.

◆ axpy() [1/2]

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

staticinherited

axpy res = ax+y.

Parameters

res	Integers as in the forumla
a	Integers as in the forumla
x	Integers as in the forumla
y	Integers as in the forumla

◆ axpy() [2/2]

Integer & axpy	(	Integer &	res,
		const Integer &	a,
		const uint64_t	x,
		const Integer &	y
	)

staticinherited

axpy res = ax+y.

Parameters

res	Integers as in the forumla
a	Integers as in the forumla
x	Integers as in the forumla
y	Integers as in the forumla

◆ axpyin() [1/2]

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

staticinherited

axpyin (inplace) res += ax.

Parameters

res	Integers as in the formula.
a	Integers as in the formula.
x	Integers as in the formula.

◆ axpyin() [2/2]

Integer & axpyin	(	Integer &	res,
		const Integer &	a,
		const uint64_t	x
	)

staticinherited

axpy res = ax+y.

Parameters

res	Integers as in the forumla
a	Integers as in the forumla
x	Integers as in the forumla
y	Integers as in the forumla

◆ maxpy() [1/2]

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

staticinherited

maxpy res = y - ax.

Parameters

res	Integers as in the formula.
a	Integers as in the formula.
x	Integers as in the formula.
y	Integers as in the formula.

◆ maxpy() [2/2]

Integer & maxpy	(	Integer &	res,
		const Integer &	a,
		const uint64_t	x,
		const Integer &	y
	)

staticinherited

axpy res = ax+y.

Parameters

res	Integers as in the forumla
a	Integers as in the forumla
x	Integers as in the forumla
y	Integers as in the forumla

◆ maxpyin() [1/2]

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

staticinherited

maxpyin res -= ax.

Parameters

res	Integers as in the formula.
a	Integers as in the formula.
x	Integers as in the formula.

◆ maxpyin() [2/2]

Integer & maxpyin	(	Integer &	res,
		const Integer &	a,
		const uint64_t	x
	)

staticinherited

axpy res = ax+y.

Parameters

res	Integers as in the forumla
a	Integers as in the forumla
x	Integers as in the forumla
y	Integers as in the forumla

◆ axmy() [1/2]

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

staticinherited

axmy res = ax - y.

Parameters

res	Integers as in the formula.
a	Integers as in the formula.
x	Integers as in the formula.
y	Integers as in the formula.

◆ axmy() [2/2]

Integer & axmy	(	Integer &	res,
		const Integer &	a,
		const uint64_t	x,
		const Integer &	y
	)

staticinherited

axpy res = ax+y.

Parameters

res	Integers as in the forumla
a	Integers as in the forumla
x	Integers as in the forumla
y	Integers as in the forumla

◆ axmyin() [1/2]

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

staticinherited

axmyin (in place) res = ax - res.

Parameters

res	Integers as in the formula.
a	Integers as in the formula.
x	Integers as in the formula.

◆ axmyin() [2/2]

Integer & axmyin	(	Integer &	res,
		const Integer &	a,
		const uint64_t	x
	)

staticinherited

axpy res = ax+y.

Parameters

res	Integers as in the forumla
a	Integers as in the forumla
x	Integers as in the forumla
y	Integers as in the forumla

◆ divin() [1/3]

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

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ divin() [2/3]

Integer & divin	(	Integer &	q,
		const int64_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ divin() [3/3]

Integer & divin	(	Integer &	q,
		const uint64_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ div() [1/4]

Integer & div	(	Integer &	q,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

Division q=n/d.

Parameters

q	quotient
n	dividand.
d	divisor

Returns: q

◆ div() [2/4]

Integer & div	(	Integer &	q,
		const Integer &	n,
		const int64_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ div() [3/4]

Integer & div	(	Integer &	q,
		const Integer &	n,
		const int32_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ div() [4/4]

Integer & div	(	Integer &	q,
		const Integer &	n,
		const uint64_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ divexact() [1/6]

Integer & divexact	(	Integer &	q,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

Division when d divides n.

Parameters

q	exact quotient
n	dividend
d	divisor

Warning: if quotient is not exact, the result is not predictable.

◆ divexact() [2/6]

Integer & divexact	(	Integer &	q,
		const Integer &	n,
		const uint64_t &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ divexact() [3/6]

Integer & divexact	(	Integer &	q,
		const Integer &	n,
		const int64_t &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ divexact() [4/6]

Integer divexact	(	const Integer &	n,
		const Integer &	d
	)

staticinherited

Division when d divides n.

Parameters

n	dividend
d	divisor

Returns: exact quotient n/d

Warning: if quotient is not exact, the result is not predictable.

◆ divexact() [5/6]

Integer divexact	(	const Integer &	n,
		const uint64_t &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ divexact() [6/6]

Integer divexact	(	const Integer &	n,
		const int64_t &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ trem() [1/3]

Integer & trem	(	Integer &	r,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

Stuff.

◆ trem() [2/3]

Integer & trem	(	Integer &	r,
		const Integer &	n,
		const uint64_t &	d
	)

staticinherited

Stuff.

◆ trem() [3/3]

uint64_t trem	(	const Integer &	n,
		const uint64_t &	d
	)

staticinherited

Stuff.

◆ crem() [1/3]

Integer & crem	(	Integer &	r,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ crem() [2/3]

Integer & crem	(	Integer &	r,
		const Integer &	n,
		const uint64_t &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ crem() [3/3]

uint64_t crem	(	const Integer &	n,
		const uint64_t &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ frem() [1/3]

Integer & frem	(	Integer &	r,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ frem() [2/3]

Integer & frem	(	Integer &	r,
		const Integer &	n,
		const uint64_t &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ frem() [3/3]

uint64_t frem	(	const Integer &	n,
		const uint64_t &	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/() [1/5]

Integer operator/ ( const Integer & d ) const

inherited

Division operator.

Parameters

d divisor

◆ operator/() [2/5]

Integer operator/ ( const uint64_t d ) const

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/() [3/5]

Integer operator/ ( const int64_t d ) const

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/() [4/5]

giv_all_inlined Integer operator/ ( const uint32_t d ) const

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/() [5/5]

giv_all_inlined Integer operator/ ( const int32_t d ) const

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/=() [1/6]

Integer & operator/= ( const Integer & d )

inherited

Division operator (inplace).

Parameters

d divisor

◆ operator/=() [2/6]

Integer & operator/= ( const uint64_t d )

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/=() [3/6]

Integer & operator/= ( const int64_t d )

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/=() [4/6]

giv_all_inlined Integer& operator/= ( const uint32_t d )

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/=() [5/6]

giv_all_inlined Integer& operator/= ( const int32_t d )

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator/=() [6/6]

Integer& operator/= ( const XXX & d )

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ modin() [1/3]

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

staticinherited

Function mod (inplace).

$r \gets r \mod n$

Parameters

r	remainder
n	modulus

◆ modin() [2/3]

Integer & modin	(	Integer &	r,
		const int64_t	n
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ modin() [3/3]

Integer & modin	(	Integer &	r,
		const uint64_t	n
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ mod() [1/5]

Integer & mod	(	Integer &	r,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

Function mod.

$r \gets n \mod d$

Parameters

r	remainder
n	integer
d	modulus

◆ mod() [2/5]

Integer & mod	(	Integer &	r,
		const Integer &	n,
		const int64_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ mod() [3/5]

Integer & mod	(	Integer &	r,
		const Integer &	n,
		const uint64_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ mod() [4/5]

static giv_all_inlined Integer& mod	(	Integer &	r,
		const Integer &	n,
		const int32_t	d
	)

inlinestaticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ mod() [5/5]

static giv_all_inlined Integer& mod	(	Integer &	r,
		const Integer &	n,
		const uint32_t	d
	)

inlinestaticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ divmod() [1/3]

Integer & divmod	(	Integer &	q,
		Integer &	r,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

Euclidean division.

n = d q + r . Computes both the quotient and the residue (as in quorem).

Parameters

q	as in the formula
r	as in the formula
n	as in the formula
d	as in the formula

Returns: the quotient q

◆ divmod() [2/3]

Integer & divmod	(	Integer &	q,
		int64_t &	r,
		const Integer &	n,
		const int64_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ divmod() [3/3]

Integer & divmod	(	Integer &	q,
		uint64_t &	r,
		const Integer &	n,
		const uint64_t	d
	)

staticinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ ceil() [1/2]

Integer & ceil	(	Integer &	res,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

rounding functions.

these are the same as the STL ones, except for the signature.

Parameters

res	the result
n	the numerator
d	the demominator

same as std::ceil (n/d)

◆ ceil() [2/2]

Integer ceil	(	const Integer &	n,
		const Integer &	d
	)

staticinherited

rounding functions.

these are the same as the STL ones, except for the signature.

Parameters

n	the numerator
d	the demominator

Returns: n/d rounded.

same as std::ceil (n/d)

◆ floor() [1/2]

Integer & floor	(	Integer &	res,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

same as std::floor(n/d)

◆ floor() [2/2]

Integer floor	(	const Integer &	n,
		const Integer &	d
	)

staticinherited

same as std::floor(n/d)

◆ trunc() [1/2]

Integer & trunc	(	Integer &	res,
		const Integer &	n,
		const Integer &	d
	)

staticinherited

same as std::trunc(n/d)

◆ trunc() [2/2]

Integer trunc	(	const Integer &	n,
		const Integer &	d
	)

staticinherited

same as std::trunc(n/d)

◆ operator%() [1/8]

Integer operator% ( const Integer & n ) const

inherited

Modulo operator.

Parameters

n modulus

Returns: remainder (*this) mod n

◆ operator%() [2/8]

int64_t operator% ( const uint64_t n ) const

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%() [3/8]

int64_t operator% ( const int64_t n ) const

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%() [4/8]

giv_all_inlined int32_t operator% ( const uint32_t n ) const

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%() [5/8]

giv_all_inlined int32_t operator% ( const int32_t n ) const

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%() [6/8]

double operator% ( const double n ) const

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%() [7/8]

int16_t operator% ( const uint16_t n ) const

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%() [8/8]

XXX operator% ( const XXX & n ) const

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%=() [1/6]

Integer & operator%= ( const Integer & n )

inherited

Modulo operator (inplace).

Parameters

n modulus

Returns: remainder (*this) <- (*this) mod n

◆ operator%=() [2/6]

Integer & operator%= ( const uint64_t n )

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%=() [3/6]

Integer & operator%= ( const int64_t n )

inherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%=() [4/6]

giv_all_inlined Integer& operator%= ( const uint32_t n )

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%=() [5/6]

giv_all_inlined Integer& operator%= ( const int32_t n )

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ operator%=() [6/6]

Integer& operator%= ( const XXX & n )

inlineinherited

Division q/=d.

Parameters

q	quotient
d	divisor.

Returns: q

◆ sign()

int32_t sign ( ) const

inlineinherited

sign

◆ priv_sign()

int32_t priv_sign ( ) const

inlineinherited

private sign

◆ get_mpz() [1/2]

mpz_ptr get_mpz ( )

inlineinherited

get representation (constant)

◆ get_mpz() [2/2]

mpz_srcptr get_mpz ( ) const

inlineinherited

get representation (constant)

◆ get_mpz_const()

mpz_srcptr get_mpz_const ( ) const

inlineinherited

get representation (constant)

◆ size()

size_t size ( ) const

inherited

returns the number of machine words used to store *this

◆ size_in_base()

size_t size_in_base ( int32_t B ) const

inherited

returns ceil(log_BASE(*this)).

◆ bitsize()

size_t bitsize ( ) const

inherited

returns ceil(log_2(*this)) .

◆ operator[]()

uint64_t operator[] ( size_t i ) const

inherited

return the i-th word of the integer.

Word 0 is lowest word.

◆ operator++() [1/2]

Integer& operator++ ( )

inlineinherited

◆ operator++() [2/2]

Integer operator++ ( int )

inlineinherited

◆ operator--() [1/2]

Integer& operator-- ( )

inlineinherited

◆ operator--() [2/2]

Integer operator-- ( int )

inlineinherited

◆ operator bool()

operator bool ( ) const

inlineinherited

◆ operator int16_t()

operator int16_t ( ) const

inlineinherited

◆ operator uint16_t()

operator uint16_t ( ) const

inlineinherited

◆ operator unsigned char()

operator unsigned char ( ) const

inlineinherited

◆ operator uint32_t()

operator uint32_t ( ) const

inherited

◆ operator int32_t()

operator int32_t ( ) const

inherited

◆ operator signed char()

operator signed char ( ) const

inlineinherited

◆ operator uint64_t()

operator uint64_t ( ) const

inherited

◆ operator int64_t()

operator int64_t ( ) const

inherited

◆ operator std::string()

operator std::string ( ) const

inherited

◆ operator float()

operator float ( ) const

inherited

◆ operator double()

operator double ( ) const

inherited

◆ operator vect_t()

operator Integer::vect_t ( ) const

inherited

◆ operator RecInt::ruint< K >()

operator RecInt::ruint< K > ( ) const

inlineinherited

◆ operator RecInt::rint< K >()

operator RecInt::rint< K > ( ) const

inlineinherited

◆ seeding() [1/3]

void seeding ( uint64_t s )

inlinestaticinherited

Random numbers (no doc)

◆ seeding() [2/3]

void seeding ( const Integer & s )

inlinestaticinherited

Random numbers (no doc)

◆ seeding() [3/3]

void seeding ( )

inlinestaticinherited

Random numbers (no doc)

Examples: examples/Integer/ModularSquareRoot.C, examples/Integer/RSA_keys_generator.C, examples/Integer/givaro-ssh-keygen.C, and examples/Polynomial/PolynomialCRT.C.

◆ RandBool()

bool RandBool ( )

inlinestaticinherited

Random numbers (no doc)

◆ random_lessthan() [1/6]

Integer & random_lessthan	(	Integer &	r,
		const Integer &	m
	)

inlinestaticinherited

returns a random integer r in the intervall [[x, m-1]] where x = 0 or -(m-1) according to ALWAYSPOSITIVE

Bug:: m has to be an integer here.

◆ random_lessthan() [2/6]

Integer & random_lessthan	(	Integer &	r,
		const Integer &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_lessthan() [3/6]

Integer & random_lessthan	(	Integer &	r,
		const uint64_t &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_lessthan() [4/6]

Integer & random_lessthan	(	Integer &	r,
		const uint64_t &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_lessthan() [5/6]

Integer random_lessthan ( const T & m )

inlinestaticinherited

Random numbers (no doc)

◆ random_lessthan() [6/6]

Integer random_lessthan ( const T & m )

inlinestaticinherited

Random numbers (no doc)

◆ random_lessthan_2exp() [1/4]

Integer & random_lessthan_2exp	(	Integer &	r,
		const uint64_t &	m
	)

inlinestaticinherited

returns a random integer r in the intervall [[x, 2^m-1]] where x = 0 or -(2^m-1) according to ALWAYSPOSITIVE returns a random integer r of at most m bits

◆ random_lessthan_2exp() [2/4]

Integer & random_lessthan_2exp	(	Integer &	r,
		const uint64_t &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_lessthan_2exp() [3/4]

Integer random_lessthan_2exp ( const uint64_t & m )

inlinestaticinherited

Random numbers (no doc)

◆ random_lessthan_2exp() [4/4]

Integer random_lessthan_2exp ( const uint64_t & m )

inlinestaticinherited

Random numbers (no doc)

◆ random_exact_2exp() [1/2]

Integer & random_exact_2exp	(	Integer &	r,
		const uint64_t &	m
	)

inlinestaticinherited

returns a reference to a random number r of the size m bits, exactly.

◆ random_exact_2exp() [2/2]

Integer & random_exact_2exp	(	Integer &	r,
		const uint64_t &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_exact() [1/8]

Integer & random_exact	(	Integer &	r,
		const Integer &	s
	)

inlinestaticinherited

returns a reference to a random number r of the size of s, exactly.

◆ random_exact() [2/8]

Integer & random_exact	(	Integer &	r,
		const Integer &	s
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_exact() [3/8]

Integer & random_exact	(	Integer &	r,
		const uint64_t &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_exact() [4/8]

Integer & random_exact	(	Integer &	r,
		const uint64_t &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_exact() [5/8]

Integer & random_exact	(	Integer &	r,
		const T &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_exact() [6/8]

Integer & random_exact	(	Integer &	r,
		const T &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_exact() [7/8]

Integer random_exact ( const T & s )

inlinestaticinherited

Random numbers (no doc)

◆ random_exact() [8/8]

Integer random_exact ( const T & s )

inlinestaticinherited

Random numbers (no doc)

◆ random_between() [1/6]

Integer & random_between	(	Integer &	r,
		const Integer &	m,
		const Integer &	M
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_between() [2/6]

Integer random_between	(	const Integer &	m,
		const Integer &	M
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_between() [3/6]

Integer & random_between	(	Integer &	r,
		const uint64_t &	m,
		const uint64_t &	M
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_between() [4/6]

Integer random_between	(	const uint64_t &	m,
		const uint64_t &	M
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_between() [5/6]

Integer random_between	(	const R &	m,
		const R &	M
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_between() [6/6]

Integer & random_between	(	Integer &	r,
		const R &	m,
		const R &	M
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_between_2exp() [1/2]

Integer & random_between_2exp	(	Integer &	r,
		const uint64_t &	m,
		const uint64_t &	M
	)

inlinestaticinherited

Random numbers (no doc)

◆ random_between_2exp() [2/2]

Integer random_between_2exp	(	const uint64_t &	m,
		const uint64_t &	M
	)

inlinestaticinherited

Random numbers (no doc)

◆ random() [1/6]

Integer & random	(	Integer &	r,
		const T &	m
	)

inlinestaticinherited

returns a random integer less than...

◆ random() [2/6]

Integer & random	(	Integer &	r,
		const T &	m
	)

inlinestaticinherited

Random numbers (no doc)

◆ random() [3/6]

Integer random ( const T & sz )

inlinestaticinherited

returns a random integer less than...

◆ random() [4/6]

Integer random ( const T & sz )

inlinestaticinherited

Random numbers (no doc)

◆ random() [5/6]

Integer random

inlinestaticinherited

Random numbers (no doc)

◆ random() [6/6]

Integer random ( )

inlinestaticinherited

Random numbers (no doc)

◆ nonzerorandom() [1/5]

Integer nonzerorandom ( const T & sz )

inlinestaticinherited

Random numbers (no doc)

◆ nonzerorandom() [2/5]

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

inlinestaticinherited

Random numbers (no doc)

◆ nonzerorandom() [3/5]

Integer nonzerorandom ( const T & sz )

inlinestaticinherited

Random numbers (no doc)

◆ nonzerorandom() [4/5]

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

inlinestaticinherited

Random numbers (no doc)

◆ nonzerorandom() [5/5]

Integer nonzerorandom ( )

inlinestaticinherited

Random numbers (no doc)

◆ print()

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

inherited

print32_t integer.

Parameters

o	output stream.

◆ get_rep()

const Rep* get_rep ( ) const

inlineprotectedinherited

get representation.

Friends And Related Function Documentation

◆ SpyInteger

friend struct SpyInteger

friend

Field Documentation

◆ zero

const Integer zero

staticinherited

zero (0)

◆ one

const Integer one

staticinherited

one (1)

◆ mOne

const Integer mOne

staticinherited

minus one (-1)

◆ gmp_rep

Rep gmp_rep

protectedinherited

rep

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

givspyinteger.h

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Friends

Division/euclidean division/modulo

Member Typedef Documentation

◆ vect_t

◆ Rep

Member Function Documentation

◆ type_string()

◆ logcpy()

◆ copy()

◆ isleq()

◆ operator>=() [1/7]

◆ operator>=() [2/7]

◆ operator>=() [3/7]

◆ operator>=() [4/7]

◆ operator>=() [5/7]

◆ operator>=() [6/7]

◆ operator>=() [7/7]

◆ operator<=() [1/7]

◆ operator<=() [2/7]

◆ operator<=() [3/7]

◆ operator<=() [4/7]

◆ operator<=() [5/7]

◆ operator<=() [6/7]

◆ operator<=() [7/7]

◆ operator!=() [1/7]

◆ operator!=() [2/7]

◆ operator!=() [3/7]

◆ operator!=() [4/7]

◆ operator!=() [5/7]

◆ operator!=() [6/7]

◆ operator!=() [7/7]

◆ operator==() [1/7]

◆ operator==() [2/7]

◆ operator==() [3/7]

◆ operator==() [4/7]

◆ operator==() [5/7]

◆ operator==() [6/7]

◆ operator==() [7/7]

◆ operator>() [1/7]

◆ operator>() [2/7]

◆ operator>() [3/7]

◆ operator>() [4/7]

◆ operator>() [5/7]

◆ operator>() [6/7]

◆ operator>() [7/7]

◆ operator<() [1/7]

◆ operator<() [2/7]

◆ operator<() [3/7]

◆ operator<() [4/7]

◆ operator<() [5/7]

◆ operator<() [6/7]

◆ operator<() [7/7]

◆ operator^() [1/3]

◆ operator^() [2/3]

◆ operator^() [3/3]

◆ operator^=() [1/3]

◆ operator^=() [2/3]

◆ operator^=() [3/3]

◆ operator|() [1/3]

◆ operator|() [2/3]

◆ operator|() [3/3]

◆ operator|=() [1/3]

◆ operator|=() [2/3]

◆ operator|=() [3/3]

◆ operator&() [1/3]

◆ operator&() [2/3]

◆ operator&() [3/3]

◆ operator&=() [1/3]

◆ operator&=() [2/3]

◆ operator&=() [3/3]

◆ operator~()

◆ operator<<() [1/4]

◆ operator<<() [2/4]