Interval_fcts.hpp File Reference

#include <string.h>
#include <string>
#include <realroot/texp_sup.hpp>

Go to the source code of this file.

Classes
struct	mmx::numerics::interval_base< T, r >
struct	mmx::numerics::interval_base< T, r >::rnd
struct	mmx::numerics::interval_base< T, 2 >
struct	mmx::numerics::interval_base< T, 2 >::rnd
struct	mmx::numerics::interval_base< T, 1 >
struct	mmx::numerics::interval_base< T, 1 >::rnd
struct	mmx::numerics::interval_base< T, 3 >
struct	mmx::numerics::interval_base< T, 3 >::rnd
struct	mmx::Interval< T, r >
	Generic class for intervals. More...
struct	mmx::Intervals< C >

Namespaces
	mmx
	mmx::numerics
	mmx::let
	Namespace for explicit type conversion.

Macros
#define	MMX_SIGN_FCT
#define	TMPL   template<class Ca, int Na, class Cb, int Nb>
#define	ARG0   Interval<Ca,Na>
#define	ARG1   Interval<Cb,Nb>
#define	TMPL   template<class Ca, int Na, class Cb>
#define	ARG1   Cb
#define	TMPL   template<class Ca, int Na, class K>
#define	ARG1   typename K::integer
#define	TMPL   template<class Ca, int Na, class K>
#define	ARG1   typename K::floating
#define	TMPL   template<class Ca, int Na, class K>
#define	ARG1   typename K::rational

Functions
template<typename T >
int	mmx::sign (const T &x)
template<class C , int r>
bool	mmx::with_plus_sign (const Interval< C, r > &I)
template<class T , int r>
void	mmx::let::assign (Interval< T, r > &i, const char *s)
template<class T , int r>
T	mmx::lower (const Interval< T, r > &x)
template<class T , int r>
T	mmx::upper (const Interval< T, r > &x)
template<class T , int r>
T	mmx::median (const Interval< T, r > &x)
template<class T , int r>
T	mmx::width (const Interval< T, r > &x)
template<class T , int r>
bool	mmx::singleton (const Interval< T, r > &x)
template<class T , int r>
bool	mmx::contain_zero (const Interval< T, r > &x)
template<class T , int r>
bool	mmx::in (const T &x, const Interval< T, r > &y)
template<class T , int r>
std::pair< Interval< T, r >, Interval< T, r > >	mmx::bissect (const Interval< T, r > &x)
template<class T , int r>
void	mmx::bissect (Interval< T, r > &g, Interval< T, r > &d, const Interval< T, r > &x)
template<class T , int r>
void	mmx::hull (Interval< T, r > &v, const Interval< T, r > &a, const Interval< T, r > &b)
template<class T , int r>
Interval< T, r >	mmx::hull (const Interval< T, r > &a, const Interval< T, r > &b)
template<class T , int r>
Interval< T, r >	mmx::min (const Interval< T, r > &a, const Interval< T, r > &b)
template<class T , int r>
Interval< T, r >	mmx::max (const Interval< T, r > &a, const Interval< T, r > &b)
template<class T , int r>
bool	mmx::intersectp (const Interval< T, r > &a, const Interval< T, r > &b)
template<class T , int r>
Interval< T, r >	mmx::intersection (const Interval< T, r > &a, const Interval< T, r > &b)
template<class T , int r>
bool	mmx::intersect (Interval< T, r > &result, const Interval< T, r > &a, const Interval< T, r > &b)
template<class T , int r>
T	mmx::size (const Interval< T, r > &i)
template<class T , int r>
std::ostream &	mmx::operator<< (std::ostream &o, const Interval< T, r > &i)
template<class C , int r>
void	mmx::abs (Interval< C, r > &x, const Interval< C, r > &a)
template<class C , int r>
void	mmx::neg (Interval< C, r > &a)
template<class C , int r>
void	mmx::neg (Interval< C, r > &a, const Interval< C, r > &b)
template<class C , int r>
void	mmx::add (Interval< C, r > &a, const C &x)
template<class C , int r>
void	mmx::add (Interval< C, r > &a, const Interval< C, r > &b, const C &x)
template<class C , int r>
void	mmx::add (Interval< C, r > &a, const C &x, const Interval< C, r > &b)
template<class C , int r>
void	mmx::sub (Interval< C, r > &a, const C &x)
template<class C , int r>
void	mmx::sub (Interval< C, r > &a, const Interval< C, r > &b, const C &x)
template<class C , int r>
void	mmx::sub (Interval< C, r > &a, const C &x, const Interval< C, r > &b)
template<class C , int r>
void	mmx::add (Interval< C, r > &a, const Interval< C, r > &x)
template<class C , int r>
void	mmx::add (Interval< C, r > &a, const Interval< C, r > &b, const Interval< C, r > &x)
template<class C , int r>
void	mmx::sub (Interval< C, r > &a, const Interval< C, r > &x)
template<class C , int r>
void	mmx::sub (Interval< C, r > &a, const Interval< C, r > &b, const Interval< C, r > &x)
template<class C , int r>
void	mmx::mul (Interval< C, r > &a, const C &x)
template<class C , int r>
void	mmx::mul (Interval< C, r > &a, const Interval< C, r > &b, const C &x)
template<class C , int r>
void	mmx::mul (Interval< C, r > &a, const C &x, const Interval< C, r > &b)
template<class C , int r>
void	mmx::mul (Interval< C, r > &a, const Interval< C, r > &b)
template<class C , int r>
void	mmx::mul (Interval< C, r > &x, const Interval< C, r > &a, const Interval< C, r > &b)
template<class C , int r>
void	mmx::div (Interval< C, r > &a, const C &x)
template<class C , int r>
void	mmx::div (Interval< C, r > &a, const Interval< C, r > &b, const C &x)
template<class C , int r>
void	mmx::div (Interval< C, r > &a, const C &x, const Interval< C, r > &b)
template<class C , int r>
void	mmx::div (Interval< C, r > &a, const Interval< C, r > &b)
template<class C , int r>
void	mmx::div (Interval< C, r > &x, const Interval< C, r > &a, const Interval< C, r > &b)
template<class C , int R>
void	mmx::split (Interval< C, R > &l, Interval< C, R > &r)
template<class C , int R>
Interval< C, R >	mmx::operator- (const Interval< C, R > &I)
TMPL texp::sup< ARG0, ARG1 >::T	mmx::operator+ (const ARG0 &Ia, const ARG1 &Ib)
TMPL texp::sup< ARG0, ARG1 >::T	mmx::operator- (const ARG0 &Ia, const ARG1 &Ib)
TMPL texp::sup< ARG0, ARG1 >::T	mmx::operator* (const ARG0 &Ia, const ARG1 &Ib)
TMPL texp::sup< ARG0, ARG1 >::T	mmx::operator/ (const ARG0 &Ia, const ARG1 &Ib)
TMPL texp::sup< ARG0, ARG1 >::T	mmx::operator+ (const ARG1 &Ia, const ARG0 &Ib)
TMPL texp::sup< ARG0, ARG1 >::T	mmx::operator- (const ARG1 &Ia, const ARG0 &Ib)
TMPL texp::sup< ARG0, ARG1 >::T	mmx::operator* (const ARG1 &Ia, const ARG0 &Ib)
TMPL texp::sup< ARG0, ARG1 >::T	mmx::operator/ (const ARG1 &Ia, const ARG0 &Ib)
	mmx::declare_binary_operator (TMPL, ARG1, ARG0, _add_, operator+)
	mmx::declare_binary_operator (TMPL, ARG1, ARG0, _sub_, operator-)
	mmx::declare_binary_operator (TMPL, ARG1, ARG0, _mul_, operator*)
	mmx::declare_binary_operator (TMPL, ARG1, ARG0, _div_, operator/)
	mmx::declare_binary_operator (TMPL, ARG0, ARG1, _add_, operator+)
	mmx::declare_binary_operator (TMPL, ARG0, ARG1, _sub_, operator-)
	mmx::declare_binary_operator (TMPL, ARG0, ARG1, _mul_, operator*)
	mmx::declare_binary_operator (TMPL, ARG0, ARG1, _div_, operator/)

Macro Definition Documentation

#define ARG0   Interval<Ca,Na>

#define ARG1   Interval<Cb,Nb>

#define ARG1   Cb

#define ARG1   typename K::integer

#define ARG1   typename K::floating

#define ARG1   typename K::rational

#define MMX_SIGN_FCT

#define TMPL   template<class Ca, int Na, class Cb, int Nb>

#define TMPL   template<class Ca, int Na, class Cb>

#define TMPL   template<class Ca, int Na, class K>

#define TMPL   template<class Ca, int Na, class K>

#define TMPL   template<class Ca, int Na, class K>