Templated vector in R3. More...

#include <Vector3.h>

Public Member Functions
	Vector3d ()
	Default constructor. It does NOT initialize the fields.

	Vector3d (Type x, Type y, Type z)
	Constructor with arguments. More...

	Vector3d (const Vector3d &v)
	Copy constructor. More...

Type	x () const
	Get the x-value. More...

Type	y () const
	Get the y-value. More...

Type	z () const
	Get the z-value. More...

void	set (Type x, Type y, Type z)
	Set the x- and y-values from scalar values. More...

void	set (const Vector3d &v)
	Set the x-, y- and z-values from a vector. More...

void	setX (Type x)
	Set the x-value. More...

void	setY (Type y)
	Set the y-value. More...

void	setZ (Type z)
	Set the z-value. More...

Type	operator[] (const int i) const
	Index-style access to vector components. More...

Type &	operator[] (const int i)
	Index-style access to vector components as a reference. More...

void	zero ()
	Set the vector to zero.

Vector3d< Type >	operator- () const
	Vector negation. Creates a new vector which is the negation of this vector. More...

float	operator* (const Vector3d &v) const
	Computes the dot product of this vector with the given vector. More...

Vector3d< Type >	operator* (float s) const
	Computes the scalar multiplication of this vector with the given scalar value. More...

Vector3d< Type >	operator/ (float s) const
	Computes the scalar division of this vector with the given scalar value. More...

Vector3d	operator+ (const Vector3d &v) const
	Computes the vector sum of this vector with the given vector. More...

Vector3d	operator- (const Vector3d &v) const
	Computes the vector difference of this vector with the given vector. More...

bool	operator== (const Vector3d &v) const
	Reports if this vector is the same as the given vector. More...

bool	operator!= (const Vector3d &v) const
	Reports if this vector is the different from the given vector. More...

Vector3d &	operator*= (float s)
	Perform in-place scalar multiplication on this vector. More...

Vector3d &	operator/= (float s)
	Perform in-place scalar division on this vector. More...

Vector3d &	operator+= (const Vector3d &v)
	Perform in-place vector addition on this vector. More...

Vector3d &	operator-= (const Vector3d &v)
	Perform in-place vector subtraction on this vector. More...

void	negate ()
	Negate the vector in place.

void	normalize ()
	Normalize the vector in place.

void	SumScale (Type s, const Vector3d &v)
	Adds in a scaled version of another vector this += s * v. More...

Vector3d	rotateX (float angle) const
	Rotate the vector around the x axis. More...

Vector3d	rotateY (float angle) const
	Rotate the vector around the y axis. More...

Vector3d	rotateZ (float angle) const
	Rotate the vector around the z axis. More...

Vector3d	rotateV (Type angle, const Vector3d &v) const
	Rotate the vector around an arbitrary vector. More...

void	rotateV_ip (Type angle, const Vector3d &v)
	Rotate the vector around an arbitrary vector - change the vector in place. More...

Type	Length () const
	Compute the magnitude (aka length) of the vector. More...

Vector3d	cross (const Vector3d< Type > &v)
	Cross product of this vector with the given vector this x v. More...

float	distance (const Vector3d &p) const
	Compute the distance from this vector to another point. More...

float	distance (float x, float y, float z) const
	Compute the distance from this vector to another point. More...

float	distanceSq (const Vector3d &p) const
	Compute the squared-distance from this vector to another point. More...

float	distanceSq (float x, float y, float z) const
	Compute the squared-distance from this vector to another point. More...

Public Attributes
Type	_x
	x-component of the vector

Type	_y
	y-component of the vector

Type	_z
	z-component of the vector

Detailed Description

template<class Type>
class Menge::Math::Vector3d< Type >

Templated vector in R3.

Constructor & Destructor Documentation

template<class Type>

Menge::Math::Vector3d< Type >::Vector3d	(	Type	x,
		Type	y,
		Type	z
	)

inline

Constructor with arguments.

Parameters

x	The vector's x-component.
y	The vector's y-component.
z	The vector's z-component.

template<class Type>

Menge::Math::Vector3d< Type >::Vector3d ( const Vector3d< Type > & v )

inline

Copy constructor.

Parameters

v	The vector to copy from.

Member Function Documentation

template<class Type>

Vector3d Menge::Math::Vector3d< Type >::cross ( const Vector3d< Type > & v )

inline

Cross product of this vector with the given vector this x v.

Parameters

v	The second opearand.

Returns: The vector representing the cross product of this with v.

template<class Type>

float Menge::Math::Vector3d< Type >::distance ( const Vector3d< Type > & p ) const

inline

Compute the distance from this vector to another point.

Parameters

p	The point whose distance from this vector (interpreted as a point) is to be computed

Returns: The distance between this vector and p.

template<class Type>

float Menge::Math::Vector3d< Type >::distance	(	float	x,
		float	y,
		float	z
	)		const

inline

Compute the distance from this vector to another point.

Parameters

x	The x-value of the other point.
y	The y-value of the other point.
z	The z-value of the other point.

Returns: The distance between this vector and (x, y).

template<class Type>

float Menge::Math::Vector3d< Type >::distanceSq ( const Vector3d< Type > & p ) const

inline

Compute the squared-distance from this vector to another point.

Parameters

p	The point whose distance from this vector (interpreted as a point) is to be computed

Returns: The squared-distance between this vector and p.

template<class Type>

float Menge::Math::Vector3d< Type >::distanceSq	(	float	x,
		float	y,
		float	z
	)		const

inline

Compute the squared-distance from this vector to another point.

Parameters

x	The x-value of the other point.
y	The y-value of the other point.
z	The z-value of the other point.

Returns: The squared-distance between this vector and (x, y).

template<class Type>

Type Menge::Math::Vector3d< Type >::Length ( ) const

inline

Compute the magnitude (aka length) of the vector.

Returns: The magnitude of the vector.

template<class Type>

bool Menge::Math::Vector3d< Type >::operator!= ( const Vector3d< Type > & v ) const

inline

Reports if this vector is the different from the given vector.

Parameters

v	The second operand.

Returns: True if the vectors are at all different, false otherwise

template<class Type>

float Menge::Math::Vector3d< Type >::operator* ( const Vector3d< Type > & v ) const

inline

Computes the dot product of this vector with the given vector.

Parameters

v	The with which the dot product should be computed.

Returns: The dot product of this vector with the given vector

template<class Type>

Vector3d<Type> Menge::Math::Vector3d< Type >::operator* ( float s ) const

inline

Computes the scalar multiplication of this vector with the given scalar value.

Parameters

s	The scalar value

Returns: The scalar multiplication of this vector with a specified scalar value.

template<class Type>

Vector3d& Menge::Math::Vector3d< Type >::operator*= ( float s )

inline

Perform in-place scalar multiplication on this vector.

Parameters

s	The scalar mutliplicand.

Returns: A reference to the vector.

template<class Type>

Vector3d Menge::Math::Vector3d< Type >::operator+ ( const Vector3d< Type > & v ) const

inline

Computes the vector sum of this vector with the given vector.

Parameters

v	The second operand.

Returns: The vector sum of this vector with the given vector.

template<class Type>

Vector3d& Menge::Math::Vector3d< Type >::operator+= ( const Vector3d< Type > & v )

inline

Perform in-place vector addition on this vector.

Parameters

v	The second vector operand.

Returns: A reference to the vector.

template<class Type>

Vector3d<Type> Menge::Math::Vector3d< Type >::operator- ( ) const

inline

Vector negation. Creates a new vector which is the negation of this vector.

Returns: The vector in the opposite direction of this vector

template<class Type>

Vector3d Menge::Math::Vector3d< Type >::operator- ( const Vector3d< Type > & v ) const

inline

Computes the vector difference of this vector with the given vector.

Parameters

v	The second operand.

Returns: The vector difference of this vector with the given vector.

template<class Type>

Vector3d& Menge::Math::Vector3d< Type >::operator-= ( const Vector3d< Type > & v )

inline

Perform in-place vector subtraction on this vector.

Parameters

v	The second vector operand.

Returns: A reference to the vector.

template<class Type>

Vector3d<Type> Menge::Math::Vector3d< Type >::operator/ ( float s ) const

inline

Computes the scalar division of this vector with the given scalar value.

Parameters

s	The scalar value

Returns: The scalar division of this vector with a specified scalar value.

template<class Type>

Vector3d& Menge::Math::Vector3d< Type >::operator/= ( float s )

inline

Perform in-place scalar division on this vector.

Parameters

s	The scalar divisor.

Returns: A reference to the vector.

template<class Type>

bool Menge::Math::Vector3d< Type >::operator== ( const Vector3d< Type > & v ) const

inline

Reports if this vector is the same as the given vector.

Parameters

v	The second operand.

Returns: True if the vectors are exactly identical, False otherwise

template<class Type>

Type Menge::Math::Vector3d< Type >::operator[] ( const int i ) const

inline

Index-style access to vector components.

Parameters

i	The index of the desired component. Sould be in the range [0, 2].

Returns: The ith component of the vector.

template<class Type>

Type& Menge::Math::Vector3d< Type >::operator[] ( const int i )

inline

Index-style access to vector components as a reference.

Parameters

i	The index of the desired component. Sould be in the range [0, 2].

Returns: A reference to the ith component of the vector.

template<class Type>

Vector3d Menge::Math::Vector3d< Type >::rotateV	(	Type	angle,
		const Vector3d< Type > &	v
	)		const

inline

Rotate the vector around an arbitrary vector.

Parameters

angle	The amoutn of rotations (in radians)
v	The axis of rotation - it should be normalized

Returns: The rotated vector

template<class Type>

void Menge::Math::Vector3d< Type >::rotateV_ip	(	Type	angle,
		const Vector3d< Type > &	v
	)

inline

Rotate the vector around an arbitrary vector - change the vector in place.

Parameters

angle	The amoutn of rotations (in radians)
v	The axis of rotation - it should be normalized

template<class Type>

Vector3d Menge::Math::Vector3d< Type >::rotateX ( float angle ) const

inline

Rotate the vector around the x axis.

Parameters

angle The amoutn of rotations (in radians)

Returns: The rotated vector

template<class Type>

Vector3d Menge::Math::Vector3d< Type >::rotateY ( float angle ) const

inline

Rotate the vector around the y axis.

Parameters

angle The amoutn of rotations (in radians)

Returns: The rotated vector

template<class Type>

Vector3d Menge::Math::Vector3d< Type >::rotateZ ( float angle ) const

inline

Rotate the vector around the z axis.

Parameters

angle The amoutn of rotations (in radians)

Returns: The rotated vector

template<class Type>

void Menge::Math::Vector3d< Type >::set	(	Type	x,
		Type	y,
		Type	z
	)

inline

Set the x- and y-values from scalar values.

Parameters

x	The value for the x-component
y	The value for the y-component
z	The value for the z-component

template<class Type>

void Menge::Math::Vector3d< Type >::set ( const Vector3d< Type > & v )

inline

Set the x-, y- and z-values from a vector.

Parameters

v	The vector containing the newvalues

template<class Type>

void Menge::Math::Vector3d< Type >::setX ( Type x )

inline

Set the x-value.

Parameters

x	The x-value.

template<class Type>

void Menge::Math::Vector3d< Type >::setY ( Type y )

inline

Set the y-value.

Parameters

y	The y-value.

template<class Type>

void Menge::Math::Vector3d< Type >::setZ ( Type z )

inline

Set the z-value.

Parameters

z	The z-value.

template<class Type>

void Menge::Math::Vector3d< Type >::SumScale	(	Type	s,
		const Vector3d< Type > &	v
	)

inline

Adds in a scaled version of another vector this += s * v.

Parameters

s	The scale factor for the vector v
v	The vector to scale

template<class Type>

Type Menge::Math::Vector3d< Type >::x ( ) const

inline

Get the x-value.

Returns: The x-value.

template<class Type>

Type Menge::Math::Vector3d< Type >::y ( ) const

inline

Get the y-value.

Returns: The y-value.

template<class Type>

Type Menge::Math::Vector3d< Type >::z ( ) const

inline

Get the z-value.

Returns: The z-value.

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

src/menge/MengeCore/Math/Vector3.h

Public Member Functions

Public Attributes

Detailed Description

template<class Type> class Menge::Math::Vector3d< Type >

Constructor & Destructor Documentation

Member Function Documentation

template<class Type>
class Menge::Math::Vector3d< Type >