OpenTissue::math::interval Namespace Reference

Classes
class	Interval
class	BoostIntervalTypeTraits
Functions
template<typename value_type >
bool	empty (Interval< value_type > const &i)
template<typename value_type >
Interval< value_type >	intersect (Interval< value_type > const &A, Interval< value_type > const &B)
template<typename interval_type >
OpenTissue::math::Vector3 < interval_type >	operator* (OpenTissue::math::Matrix3x3< interval_type > const &m, OpenTissue::math::Vector3< typename interval_type::base_type > const &v)
template<typename interval_type >
interval_type	operator* (OpenTissue::math::Vector3< interval_type > const &vi, OpenTissue::math::Vector3< typename interval_type::base_type > const &vr)
template<class T , class Policies , class CharType , class CharTraits >
std::basic_ostream< CharType, CharTraits > &	operator<< (std::basic_ostream< CharType, CharTraits > &stream, boost::numeric::interval< T, Policies > const &value)
template<class T , class Policies , class CharType , class CharTraits >
std::basic_istream< CharType, CharTraits > &	operator>> (std::basic_istream< CharType, CharTraits > &stream, boost::numeric::interval< T, Policies > &value)
template<typename T , class CharType , class CharTraits >
std::basic_ostream< CharType, CharTraits > &	operator<< (std::basic_ostream< CharType, CharTraits > &out, Interval< T > const &i)
template<typename T , class CharType , class CharTraits >
std::basic_istream< CharType, CharTraits > &	operator>> (std::basic_istream< CharType, CharTraits > &in, Interval< T > const &i)

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Function Documentation

template<typename value_type >

bool OpenTissue::math::interval::empty

(

Interval< value_type > const &

i

)

[inline]

Interval Empty Test.

Parameters:

i

The interval.

Returns:

If interval is empty then the return value is true otherwise it is false.

template<typename value_type >

Interval<value_type> OpenTissue::math::interval::intersect	(	Interval< value_type > const &	A,
		Interval< value_type > const &	B
	)			[inline]

Interval Intersection.

Parameters:

	A	The first interval.
	B	The second interval.

Returns:

The resulting interval representing the intersection of the two specified intervals.

template<typename interval_type >

interval_type OpenTissue::math::interval::operator*	(	OpenTissue::math::Vector3< interval_type > const &	vi,
		OpenTissue::math::Vector3< typename interval_type::base_type > const &	vr
	)			[inline]

Interval Vector - Vector Dot product. This templat function implements the operation

[[x1,x2],[y1,y2],[z1,z2]] * [x,y,z] = [x1,x2]*x+[y1,y2]*y+[z1,z2]*z.

Parameters:

	vi	The interval vector.
	vr	The vector

Returns:

The resulting interval type.

template<typename interval_type >

OpenTissue::math::Vector3< interval_type > OpenTissue::math::interval::operator*	(	OpenTissue::math::Matrix3x3< interval_type > const &	m,
		OpenTissue::math::Vector3< typename interval_type::base_type > const &	v
	)			[inline]

Interval Matrix Vector Multiplication. Interval Matrix vector multiplication uses operator*(interval_vector, vector).

This operator is for instance used when we rotate a point with a bounded orientation matrix.

Parameters:

	m	The specified interval matrix.
	v	The specified vector.

Returns:

The resulting interval vector.

template<class T , class Policies , class CharType , class CharTraits >

std::basic_ostream<CharType, CharTraits>& OpenTissue::math::interval::operator<<	(	std::basic_ostream< CharType, CharTraits > &	stream,
		boost::numeric::interval< T, Policies > const &	value
	)

Stream Output Operator.

Parameters:

	out	The stream.
	i	The interval that should be output to a stream.

Returns:

A reference to the stream.

template<typename T , class CharType , class CharTraits >

std::basic_ostream<CharType,CharTraits>& OpenTissue::math::interval::operator<<	(	std::basic_ostream< CharType, CharTraits > &	out,
		Interval< T > const &	i
	)

Stream Output Operator.

Parameters:

	out	The stream.
	i	The interval that should be output to a stream.

Returns:

A reference to the stream.

template<class T , class Policies , class CharType , class CharTraits >

std::basic_istream<CharType, CharTraits>& OpenTissue::math::interval::operator>>	(	std::basic_istream< CharType, CharTraits > &	stream,
		boost::numeric::interval< T, Policies > &	value
	)

Stream Input Operator.

Parameters:

	in	The stream.
	i	The interval that be input from the specified stream.

Returns:

A reference to the stream.

template<typename T , class CharType , class CharTraits >

std::basic_istream<CharType,CharTraits>& OpenTissue::math::interval::operator>>	(	std::basic_istream< CharType, CharTraits > &	in,
		Interval< T > const &	i
	)

Stream Input Operator.

Parameters:

	in	The stream.
	i	The interval that be input from the specified stream.

Returns:

A reference to the stream.