Point< T_ > Class Template Reference

Defines a point with arbitrary type coordinates. More...

Public Member Functions
	Point ()
	Default constructor.
	Point (T_ a)
	Constructor that assigns a to first coordinate.
	Point (T_ a, T_ b)
	Constructor that assigns a and b to first and second coordinates respectively.
	Point (T_ a, T_ b, T_ c)
	Constructor that assigns a, b and c to first, second and third coordinates respectively.
	Point (const Point< T_ > &p)
	Copy constructor.
T_ &	operator() (size_t i)
	Operator (): Non constant version. More...
const T_ &	operator() (size_t i) const
	Operator (): Constant version. More...
T_ &	operator[] (size_t i)
	Operator []: Non constant version. More...
const T_ &	operator[] (size_t i) const
	Operator []: Constant version. More...
Point< T_ > &	operator+= (const Point< T_ > &p)
	Operator += More...
Point< T_ > &	operator-= (const Point< T_ > &p)
	Operator -= More...
Point< T_ > &	operator= (const T_ &a)
	Operator = More...
Point< T_ > &	operator+= (const T_ &a)
	Operator += More...
Point< T_ > &	operator-= (const T_ &a)
	Operator -= More...
Point< T_ > &	operator*= (const T_ &a)
	Operator *= More...
Point< T_ > &	operator/= (const T_ &a)
	Operator /= More...
bool	operator== (const Point< T_ > &p)
	Operator == More...
bool	operator!= (const Point< T_ > &p)
	Operator != More...
real_t	NNorm () const
	Return squared euclidean norm of vector.
real_t	Norm () const
	Return norm (length) of vector.
void	Normalize ()
	Normalize vector. More...
Point< real_t >	Director (const Point< real_t > &p) const
	Return Director (Normalized vector)
bool	isCloseTo (const Point< real_t > &a, real_t toler=OFELI_TOLERANCE) const
	Return true if current point is close to instance a (up to tolerance toler) More...
T_	operator, (const Point< T_ > &p) const
	Return Dot (scalar) product of two vectors. More...

Public Attributes
T_	x
	Point coordinates.

Detailed Description

template<class T_>
class OFELI::Point< T_ >

Defines a point with arbitrary type coordinates.

Operators = and () are overloaded.

Template Parameters

T_	Data type (double, float, complex<double>, ...)

Author

Rachid Touzani

Copyright

GNU Lesser Public License

Member Function Documentation

isCloseTo()

bool isCloseTo	(	const Point< real_t > &	a,
		real_t	toler = OFELI_TOLERANCE
	)		const

Return true if current point is close to instance a (up to tolerance toler)

Default value for toler is the OFELI_TOLERANCE constant.

Normalize()

void Normalize

(

)

Normalize vector.

Divide vector components by its 2-norm

operator!=()

bool operator!=

(

const Point< T_ > &

p

)

Operator !=

Return false if current instance is equal to p, true otherwise.

operator()() [1/2]

T_& operator()

(

size_t

i

)

Operator (): Non constant version.

Values i = 1, 2, 3 correspond to x, y and z respectively

operator()() [2/2]

const T_& operator()

(

size_t

i

)

const

Operator (): Constant version.

Values i = 1, 2, 3 correspond to x, y and z respectively

operator*=()

Point<T_>& operator*=

(

const T_ &

a

)

Operator *=

Multiply constant a by current instance coordinates

operator+=() [1/2]

Point<T_>& operator+=

(

const Point< T_ > &

p

)

Operator +=

Add point p to current instance

operator+=() [2/2]

Point<T_>& operator+=

(

const T_ &

a

)

Operator +=

Add constant a to current instance coordinates

operator,()

T_ operator,

(

const Point< T_ > &

p

)

const

Return Dot (scalar) product of two vectors.

A typical use of this operator is double a = (p,q) where p and q are 2 instances of Point<double>

Parameters

[in]

p

Point instance by which the current instance is multiplied

operator-=() [1/2]

Point<T_>& operator-=

(

const Point< T_ > &

p

)

Operator -=

Subtract point p from current instance

operator-=() [2/2]

Point<T_>& operator-=

(

const T_ &

a

)

Operator -=

Subtract constant a from current instance coordinates

operator/=()

Point<T_>& operator/=

(

const T_ &

a

)

Operator /=

Divide current instance coordinates by a

operator=()

Point<T_>& operator=

(

const T_ &

a

)

Operator =

Assign constant a to current instance coordinates

operator==()

bool operator==

(

const Point< T_ > &

p

)

Operator ==

Return true if current instance is equal to p, false otherwise.

operator[]() [1/2]

T_& operator[]

(

size_t

i

)

Operator []: Non constant version.

Values i = 0, 1, 2 correspond to x, y and z respectively

operator[]() [2/2]

const T_& operator[]

(

size_t

i

)

const

Operator []: Constant version.

Values i = 0, 1, 2 correspond to x, y and z respectively