SpaceTime Class Reference

Defines a space-time point. More...

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

Public Attributes
real_t	x
	Coordinates.

Detailed Description

Defines a space-time point.

Operators = and () are overloaded.

Author

Rachid Touzani

Copyright

GNU Lesser Public License

Member Function Documentation

isCloseTo()

bool isCloseTo	(	const SpaceTime &	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 SpaceTime &

p

)

Operator !=

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

operator()() [1/2]

real_t& operator()

(

size_t

i

)

Operator (): Non constant version.

Values i = 1, 2, 3, 4 correspond to x, y, z and t respectively

operator()() [2/2]

const real_t& operator()

(

size_t

i

)

const

Operator (): Constant version.

Values i = 1, 2, 3, 4 correspond to x, y, z and t respectively

operator*=()

SpaceTime& operator*=

(

const real_t &

a

)

Operator *=

Multiply constant a by current instance coordinates

operator+=() [1/2]

SpaceTime& operator+=

(

const SpaceTime &

p

)

Operator +=

Add point p to current instance

operator+=() [2/2]

SpaceTime& operator+=

(

const real_t &

a

)

Operator +=

Add constant a to current instance coordinates

operator,()

real_t operator,

(

const SpaceTime &

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 SpaceTime

Parameters

[in]

p

Point instance by which the current instance is multiplied

operator-=() [1/2]

SpaceTime& operator-=

(

const SpaceTime &

p

)

Operator -=

Subtract point p from current instance

operator-=() [2/2]

SpaceTime& operator-=

(

const real_t &

a

)

Operator -=

Subtract constant a from current instance coordinates

operator/=()

SpaceTime& operator/=

(

const real_t &

a

)

Operator /=

Divide current instance coordinates by a

operator==()

bool operator==

(

const SpaceTime &

p

)

Operator ==

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

operator[]() [1/2]

real_t& operator[]

(

size_t

i

)

Operator []: Non constant version.

Values i = 0, 1, 2, 3 correspond to x, y, z and t respectively

operator[]() [2/2]

const real_t& operator[]

(

size_t

i

)

const

Operator []: Constant version.

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