Generic class for intervals. More...

#include <Interval.hpp>

Inheritance diagram for mmx::Interval< T, r >:

Classes
struct	extended

Public Types
typedef T	value_type

typedef T	coeff_t

typedef T	boundary_type

typedef numerics::interval_base< T,((unsigned) r)%4 >	base_t

typedef base_t::rnd	rnd_t

typedef Interval< T, r >	self_t

Public Member Functions
template<class S >
	Interval (const texp::template_expression< S > &e)

	Interval ()
	default constructor sets values to zero More...

	Interval (int n)
	build an interval from an int More...

	Interval (unsigned n)
	build an interval from an unsigned int More...

	Interval (const T &x)
	build an interval from a scalar value More...

	Interval (const T &a, const T &b)
	build an interval from a pair (the pair will be reordered) More...

	Interval (const char *s)
	build an interval from a string More...

Interval &	operator= (const Interval &i)

template<class X >
Interval &	operator= (const texp::template_expression< X > &x)

void	define (const T &m, const T &M)

void	assign (const T &m, const T &M)

void	assign (const Interval &b)

template<class X >
bool	operator== (const X &k) const
	true if the lower and upper bounds equals to k More...

template<class X , int r_>
bool	operator== (const Interval< X, r_ > &b) const

template<class X >
bool	operator> (const X &x) const
	comparison with scalar value (>) More...

template<class X >
bool	operator>= (const X &x) const
	comparison with scalar value (>=) More...

template<class X >
bool	operator< (const X &x) const
	comparison with scalar value (<) More...

template<class X >
bool	operator<= (const X &x) const
	comparison with scalar value (<=) More...

template<class X >
bool	operator!= (const X &x) const
	comparison with scalar value (!=) More...

template<class X , int _r>
bool	operator< (const Interval< X, _r > &i) const

template<class X , int _r>
bool	operator> (const Interval< X, _r > &i) const

const T &	lower () const

const T &	upper () const

T &	lower ()

T &	upper ()

const T &	inf () const

const T &	sup () const

T &	inf ()

T &	sup ()

Interval &	operator= (const T &x)

template<class X , int R>
Interval &	operator= (const Interval< X, R > &x)

Interval &	operator+= (const Interval &x)

Interval &	operator-= (const Interval &x)

Interval &	operator*= (const Interval &x)

Interval &	operator/= (const Interval &x)

T	width () const
	return the width of the interval More...

T	size () const
	same as width More...

	operator T () const

T	center () const
	return the center of the interval More...

template<class X >
Interval< C, R > &	operator= (const texp::template_expression< X > &x)

template<class X >
	Interval (const texp::template_expression< X > &x)

template<class X , int R>
Interval< C, mode > &	operator= (const Interval< X, R > &x)

Public Attributes
T	m

T	M

Additional Inherited Members
Static Public Member Functions inherited from mmx::numerics::interval_base< T,((unsigned) r)%4 >
static T	dwmul (const T &a, const T &b)

static T	upmul (const T &a, const T &b)

static T	dwdiv (const T &a, const T &b)

static T	updiv (const T &a, const T &b)

static T	dwadd (const T &a, const T &b)

static T	upadd (const T &a, const T &b)

static T	dwsub (const T &a, const T &b)

static T	upsub (const T &a, const T &b)

Detailed Description

template<class T, int r = 3>
struct mmx::Interval< T, r >

Generic class for intervals.

Member Typedef Documentation

template<class T, int r = 3>

typedef numerics::interval_base<T,((unsigned)r)%4> mmx::Interval< T, r >::base_t

template<class T, int r = 3>

typedef T mmx::Interval< T, r >::boundary_type

template<class T, int r = 3>

typedef T mmx::Interval< T, r >::coeff_t

template<class T, int r = 3>

typedef base_t::rnd mmx::Interval< T, r >::rnd_t

template<class T, int r = 3>

typedef Interval<T,r> mmx::Interval< T, r >::self_t

template<class T, int r = 3>

typedef T mmx::Interval< T, r >::value_type

Constructor & Destructor Documentation

template<class T, int r = 3>

template<class S >

mmx::Interval< T, r >::Interval ( const texp::template_expression< S > & e )

template<class C , int r>

mmx::Interval< C, r >::Interval ( )

inline

default constructor sets values to zero

template<class C , int r>

mmx::Interval< C, r >::Interval ( int n )

inline

build an interval from an int

template<class C , int r>

mmx::Interval< C, r >::Interval ( unsigned n )

inline

build an interval from an unsigned int

template<class C, int r>

mmx::Interval< C, r >::Interval ( const C & x )

inline

build an interval from a scalar value

template<class C, int r>

mmx::Interval< C, r >::Interval	(	const C &	a,
		const C &	b
	)

inline

build an interval from a pair (the pair will be reordered)

template<class C , int r>

mmx::Interval< C, r >::Interval ( const char * s )

inline

build an interval from a string

template<class T, int r = 3>

template<class X >

mmx::Interval< T, r >::Interval ( const texp::template_expression< X > & x )

inline

Member Function Documentation

template<class T, int r = 3>

void mmx::Interval< T, r >::assign	(	const T &	m,
		const T &	M
	)

inline

template<class T, int r = 3>

void mmx::Interval< T, r >::assign ( const Interval< T, r > & b )

inline

template<class T, int r = 3>

T mmx::Interval< T, r >::center ( ) const

inline

return the center of the interval

template<class T, int r = 3>

void mmx::Interval< T, r >::define	(	const T &	m,
		const T &	M
	)

inline

template<class T, int r = 3>

const T& mmx::Interval< T, r >::inf ( ) const

inline

template<class T, int r = 3>

T& mmx::Interval< T, r >::inf ( )

inline

template<class T, int r = 3>

const T& mmx::Interval< T, r >::lower ( ) const

inline

template<class T, int r = 3>

T& mmx::Interval< T, r >::lower ( )

inline

template<class T, int r = 3>

mmx::Interval< T, r >::operator T ( ) const

inline

template<class T, int r = 3>

template<class X >

bool mmx::Interval< T, r >::operator!= ( const X & x ) const

inline

comparison with scalar value (!=)

template<class T, int r = 3>

Interval& mmx::Interval< T, r >::operator*= ( const Interval< T, r > & x )

inline

template<class T, int r = 3>

Interval& mmx::Interval< T, r >::operator+= ( const Interval< T, r > & x )

inline

template<class T, int r = 3>

Interval& mmx::Interval< T, r >::operator-= ( const Interval< T, r > & x )

inline

template<class T, int r = 3>

Interval& mmx::Interval< T, r >::operator/= ( const Interval< T, r > & x )

inline

template<class T, int r = 3>

template<class X >

bool mmx::Interval< T, r >::operator< ( const X & x ) const

inline

comparison with scalar value (<)

template<class T, int r = 3>

template<class X , int _r>

bool mmx::Interval< T, r >::operator< ( const Interval< X, _r > & i ) const

inline

template<class T, int r = 3>

template<class X >

bool mmx::Interval< T, r >::operator<= ( const X & x ) const

inline

comparison with scalar value (<=)

template<class T, int r = 3>

Interval& mmx::Interval< T, r >::operator= ( const Interval< T, r > & i )

inline

template<class T, int r = 3>

template<class X >

Interval& mmx::Interval< T, r >::operator= ( const texp::template_expression< X > & x )

template<class T, int r = 3>

Interval& mmx::Interval< T, r >::operator= ( const T & x )

inline

template<class T, int r = 3>

template<class X , int R>

Interval& mmx::Interval< T, r >::operator= ( const Interval< X, R > & x )

template<class T, int r = 3>

template<class X >

Interval<C,R>& mmx::Interval< T, r >::operator= ( const texp::template_expression< X > & x )

inline

template<class T, int r = 3>

template<class X , int R>

Interval<C,mode>& mmx::Interval< T, r >::operator= ( const Interval< X, R > & x )

template<class T, int r = 3>

template<class X >

bool mmx::Interval< T, r >::operator== ( const X & k ) const

inline

true if the lower and upper bounds equals to k

template<class T, int r = 3>

template<class X , int r_>

bool mmx::Interval< T, r >::operator== ( const Interval< X, r_ > & b ) const

inline

template<class T, int r = 3>

template<class X >

bool mmx::Interval< T, r >::operator> ( const X & x ) const

inline

comparison with scalar value (>)

template<class T, int r = 3>

template<class X , int _r>

bool mmx::Interval< T, r >::operator> ( const Interval< X, _r > & i ) const

inline

template<class T, int r = 3>

template<class X >

bool mmx::Interval< T, r >::operator>= ( const X & x ) const

inline

comparison with scalar value (>=)

template<class T, int r = 3>

T mmx::Interval< T, r >::size ( void ) const

inline

same as width

template<class T, int r = 3>

const T& mmx::Interval< T, r >::sup ( ) const

inline

template<class T, int r = 3>

T& mmx::Interval< T, r >::sup ( )

inline

template<class T, int r = 3>

const T& mmx::Interval< T, r >::upper ( ) const

inline

template<class T, int r = 3>

T& mmx::Interval< T, r >::upper ( )

inline

template<class T, int r = 3>

T mmx::Interval< T, r >::width ( ) const

inline

return the width of the interval

Member Data Documentation

template<class T, int r = 3>

T mmx::Interval< T, r >::m

template<class T, int r = 3>

T mmx::Interval< T, r >::M

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

include/realroot/Interval.hpp
include/realroot/Interval_fcts.hpp

Classes

Public Types

Public Member Functions

Public Attributes

Additional Inherited Members

Detailed Description

template<class T, int r = 3> struct mmx::Interval< T, r >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class T, int r = 3>
struct mmx::Interval< T, r >