hermes::Interval< T > Class Template Reference

Represents a numeric interval that supports interval arithmetic. More...

#include <interval.h>

Inheritance diagram for hermes::Interval< T >:

Public Member Functions
HERMES_DEVICE_CALLABLE	Interval ()
	Default constructor.
HERMES_DEVICE_CALLABLE	Interval (T v)
	Constructs from center value.
HERMES_DEVICE_CALLABLE	Interval (T l, T h)
	Construct from interval values.
HERMES_DEVICE_CALLABLE	operator T () const
	Gets interval center value.
HERMES_DEVICE_CALLABLE Interval	operator- () const
	Negates interval.
HERMES_DEVICE_CALLABLE Interval	operator+ (const Interval &i) const
	Uses interval arithmetic addition.
HERMES_DEVICE_CALLABLE Interval	operator- (const Interval &i) const
	Uses interval arithmetic subtraction.
HERMES_DEVICE_CALLABLE Interval	operator* (const Interval &i) const
	Uses interval arithmetic multiplication.
HERMES_DEVICE_CALLABLE Interval	operator/ (const Interval &i) const
	Uses interval arithmetic division.
HERMES_DEVICE_CALLABLE bool	operator== (const Interval< T > &b) const
HERMES_DEVICE_CALLABLE bool	contains (T v) const
	Checks if this interval contains v.
HERMES_DEVICE_CALLABLE T	center () const
	Gets interval center value.
HERMES_DEVICE_CALLABLE T	radius () const
	Gets interval radius.
HERMES_DEVICE_CALLABLE T	width () const
	Gets interval diameter.
HERMES_DEVICE_CALLABLE bool	isExact () const
	Checks if interval contains a single value.
HERMES_DEVICE_CALLABLE Interval	sqr () const
	Computes arithmetic interval square.
HERMES_DEVICE_CALLABLE Interval	sqrt () const
	Computes arithmetic interval square root.

Static Public Member Functions
static HERMES_DEVICE_CALLABLE Interval	withRadius (real_t c, real_t r)
	Constructs interval from center and radius.
Static Public Member Functions inherited from hermes::MathElement< T, 2u >
static constexpr u64	componentCount ()
	Gets the number of dimensional components.
static constexpr u64	numericTypeSizeInBytes ()
	Gets the size in bytes of underlying data type.
static MemoryDumper::RegionLayout	memoryDumpLayout ()
	Gets memory layout.

Public Attributes
T	low {0}
	lowest interval value
T	high {0}
	greatest interval value

Additional Inherited Members
Static Public Attributes inherited from hermes::MathElement< T, 2u >
static T	numeric_data
	Underlying data type.

Detailed Description

template<typename T>
class hermes::Interval< T >

Represents a numeric interval that supports interval arithmetic.

Constructor & Destructor Documentation

Interval() [1/2]

template<typename T >

HERMES_DEVICE_CALLABLE hermes::Interval< T >::Interval ( T  v )

inline

Constructs from center value.

Parameters

v

Interval() [2/2]

template<typename T >

HERMES_DEVICE_CALLABLE hermes::Interval< T >::Interval ( T  l, T  h  )

inline

Construct from interval values.

Parameters

l
h

Member Function Documentation

center()

template<typename T >

HERMES_DEVICE_CALLABLE T hermes::Interval< T >::center ( ) const

inline

Gets interval center value.

Returns

contains()

template<typename T >

HERMES_DEVICE_CALLABLE bool hermes::Interval< T >::contains ( T  v ) const

inline

Checks if this interval contains v.

Parameters

v

Returns

isExact()

template<typename T >

HERMES_DEVICE_CALLABLE bool hermes::Interval< T >::isExact ( ) const

inline

Checks if interval contains a single value.

Returns

operator T()

template<typename T >

HERMES_DEVICE_CALLABLE hermes::Interval< T >::operator T ( ) const

inlineexplicit

Gets interval center value.

Returns

operator*()

template<typename T >

HERMES_DEVICE_CALLABLE Interval hermes::Interval< T >::operator* ( const Interval< T > &  i ) const

inline

Uses interval arithmetic multiplication.

Parameters

i

Returns

operator+()

template<typename T >

HERMES_DEVICE_CALLABLE Interval hermes::Interval< T >::operator+ ( const Interval< T > &  i ) const

inline

Uses interval arithmetic addition.

Parameters

i

Returns

operator-() [1/2]

template<typename T >

HERMES_DEVICE_CALLABLE Interval hermes::Interval< T >::operator- ( ) const

inline

Negates interval.

Returns

operator-() [2/2]

template<typename T >

HERMES_DEVICE_CALLABLE Interval hermes::Interval< T >::operator- ( const Interval< T > &  i ) const

inline

Uses interval arithmetic subtraction.

Parameters

i

Returns

operator/()

template<typename T >

HERMES_DEVICE_CALLABLE Interval hermes::Interval< T >::operator/ ( const Interval< T > &  i ) const

inline

Uses interval arithmetic division.

Parameters

i

Returns

radius()

template<typename T >

HERMES_DEVICE_CALLABLE T hermes::Interval< T >::radius ( ) const

inline

Gets interval radius.

Returns

sqr()

template<typename T >

HERMES_DEVICE_CALLABLE Interval hermes::Interval< T >::sqr ( ) const

inline

Computes arithmetic interval square.

Returns

sqrt()

template<typename T >

HERMES_DEVICE_CALLABLE Interval hermes::Interval< T >::sqrt ( ) const

inline

Computes arithmetic interval square root.

Returns

width()

template<typename T >

HERMES_DEVICE_CALLABLE T hermes::Interval< T >::width ( ) const

inline

Gets interval diameter.

Returns

withRadius()

template<typename T >

static HERMES_DEVICE_CALLABLE Interval hermes::Interval< T >::withRadius ( real_t  c, real_t  r  )

inlinestatic

Constructs interval from center and radius.

Parameters

c
r

Returns

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

• hermes/numeric/interval.h