Represents a point or vector in 4D space. More...

Public Methods
	QVector4D ()

	QVector4D (const QPoint &point)

	QVector4D (const QPointF &point)

	QVector4D (const QVector2D &vector)

	QVector4D (const QVector2D &vector, qreal zpos, qreal wpos)

	QVector4D (const QVector3D &vector)

	QVector4D (const QVector3D &vector, qreal wpos)

	QVector4D (qreal xpos, qreal ypos, qreal zpos, qreal wpos)

bool	isNull () const

qreal	length () const

qreal	lengthSquared () const

void	normalize ()

QVector4D	normalized () const

	operator QVariant () const

QVector4D &	operator*= (const QVector4D &vector)

QVector4D &	operator*= (qreal factor)

QVector4D &	operator+= (const QVector4D &vector)

QVector4D &	operator-= (const QVector4D &vector)

QVector4D &	operator/= (qreal divisor)

void	setW (qreal w)

void	setX (qreal x)

void	setY (qreal y)

void	setZ (qreal z)

QPoint	toPoint () const

QPointF	toPointF () const

QVector2D	toVector2D () const

QVector2D	toVector2DAffine () const

QVector3D	toVector3D () const

QVector3D	toVector3DAffine () const

qreal	w () const

qreal	x () const

qreal	y () const

qreal	z () const

Static Public Methods
static qreal	dotProduct (const QVector4D &v1, const QVector4D &v2)

Friends
bool	operator!= (const QVector4D &v1, const QVector4D &v2)

const QVector4D	operator* (const QVector4D &v1, const QVector4D &v2)

const QVector4D	operator* (const QVector4D &vector, qreal factor)

const QVector4D	operator* (qreal factor, const QVector4D &vector)

const QVector4D	operator+ (const QVector4D &v1, const QVector4D &v2)

const QVector4D	operator- (const QVector4D &v1, const QVector4D &v2)

const QVector4D	operator- (const QVector4D &vector)

const QVector4D	operator/ (const QVector4D &vector, qreal divisor)

bool	operator== (const QVector4D &v1, const QVector4D &v2)

bool	qFuzzyCompare (const QVector4D &v1, const QVector4D &v2)

class	QVector2D

class	QVector3D

Related Functions
These are not member functions
QDataStream &	operator<< (QDataStream &stream, const QVector4D &vector)

QDataStream &	operator>> (QDataStream &stream, QVector4D &vector)

Detailed Description

The QVector4D class represents a point or vector in 4D space. The QVector4D class can also be used to represent vertices in 4D space. We therefore do not need to provide a separate vertex class.

Note: By design values in the QVector4D instance are stored as float. This means that on platforms where the qreal arguments to QVector4D functions are represented by double values, it is possible to lose precision.

See also: QQuaternion, QVector2D, QVector3D

Constructor & Destructor Documentation

QVector4D::QVector4D ( )

inline

Constructs a null vector, i.e. with coordinates (0, 0, 0, 0).

QVector4D::QVector4D	(	qreal	xpos,
		qreal	ypos,
		qreal	zpos,
		qreal	wpos
	)

inline

Constructs a vector with coordinates (xpos, ypos, zpos, wpos).

QVector4D::QVector4D ( const QPoint & point )

inlineexplicit

Constructs a vector with x and y coordinates from a 2D point, and z and w coordinates of 0.

QVector4D::QVector4D ( const QPointF & point )

inlineexplicit

Constructs a vector with x and y coordinates from a 2D point, and z and w coordinates of 0.

QVector4D::QVector4D ( const QVector2D & vector )

Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zero.

See also: toVector2D()

QVector4D::QVector4D	(	const QVector2D &	vector,
		qreal	zpos,
		qreal	wpos
	)

Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zpos and wpos respectively.

See also: toVector2D()

QVector4D::QVector4D ( const QVector3D & vector )

Constructs a 4D vector from the specified 3D vector. The w coordinate is set to zero.

See also: toVector3D()

QVector4D::QVector4D	(	const QVector3D &	vector,
		qreal	wpos
	)

Constructs a 4D vector from the specified 3D vector. The w coordinate is set to wpos.

See also: toVector3D()

Method Documentation

qreal QVector4D::dotProduct	(	const QVector4D &	v1,
		const QVector4D &	v2
	)

static

Returns the dot product of v1 and v2.

bool QVector4D::isNull ( ) const

inline

Returns true if the x, y, z, and w coordinates are set to 0.0, otherwise returns false.

qreal QVector4D::length ( ) const

Returns the length of the vector from the origin.

See also: lengthSquared(), normalized()

qreal QVector4D::lengthSquared ( ) const

Returns the squared length of the vector from the origin. This is equivalent to the dot product of the vector with itself.

See also: length(), dotProduct()

void QVector4D::normalize ( )

Normalizes the current vector in place. Nothing happens if this vector is a null vector or the length of the vector is very close to 1.

See also: length(), normalized()

QVector4D QVector4D::normalized ( ) const

Returns the normalized unit vector form of this vector.

If this vector is null, then a null vector is returned. If the length of the vector is very close to 1, then the vector will be returned as-is. Otherwise the normalized form of the vector of length 1 will be returned.

See also: length(), normalize()

QVector4D::operator QVariant ( ) const

Returns the 4D vector as a QVariant.

QVector4D & QVector4D::operator*= ( const QVector4D & vector )

inline

Multiplies the components of this vector by the corresponding components in vector.

QVector4D & QVector4D::operator*= ( qreal factor )

inline

Multiplies this vector's coordinates by the given factor, and returns a reference to this vector.

See also: operator/=()

QVector4D & QVector4D::operator+= ( const QVector4D & vector )

inline

Adds the given vector to this vector and returns a reference to this vector.

See also: operator-=()

QVector4D & QVector4D::operator-= ( const QVector4D & vector )

inline

Subtracts the given vector from this vector and returns a reference to this vector.

See also: operator+=()

QVector4D & QVector4D::operator/= ( qreal divisor )

inline

Divides this vector's coordinates by the given divisor, and returns a reference to this vector.

See also: operator*=()

void QVector4D::setW ( qreal w )

inline

Sets the w coordinate of this point to the given w coordinate.

See also: w(), setX(), setY(), setZ()

void QVector4D::setX ( qreal x )

inline

Sets the x coordinate of this point to the given x coordinate.

See also: x(), setY(), setZ(), setW()

void QVector4D::setY ( qreal y )

inline

Sets the y coordinate of this point to the given y coordinate.

See also: y(), setX(), setZ(), setW()

void QVector4D::setZ ( qreal z )

inline

Sets the z coordinate of this point to the given z coordinate.

See also: z(), setX(), setY(), setW()

QPoint QVector4D::toPoint ( ) const

inline

Returns the QPoint form of this 4D vector. The z and w coordinates are dropped.

See also: toPointF(), toVector2D()

QPointF QVector4D::toPointF ( ) const

inline

Returns the QPointF form of this 4D vector. The z and w coordinates are dropped.

See also: toPoint(), toVector2D()

QVector2D QVector4D::toVector2D ( ) const

Returns the 2D vector form of this 4D vector, dropping the z and w coordinates.

See also: toVector2DAffine(), toVector3D(), toPoint()

QVector2D QVector4D::toVector2DAffine ( ) const

Returns the 2D vector form of this 4D vector, dividing the x and y coordinates by the w coordinate and dropping the z coordinate. Returns a null vector if w is zero.

See also: toVector2D(), toVector3DAffine(), toPoint()

QVector3D QVector4D::toVector3D ( ) const

Returns the 3D vector form of this 4D vector, dropping the w coordinate.

See also: toVector3DAffine(), toVector2D(), toPoint()

QVector3D QVector4D::toVector3DAffine ( ) const

Returns the 3D vector form of this 4D vector, dividing the x, y, and z coordinates by the w coordinate. Returns a null vector if w is zero.

See also: toVector3D(), toVector2DAffine(), toPoint()

qreal QVector4D::w ( ) const

inline

Returns the w coordinate of this point.

See also: setW(), x(), y(), z()

qreal QVector4D::x ( ) const

inline

Returns the x coordinate of this point.

See also: setX(), y(), z(), w()

qreal QVector4D::y ( ) const

inline

Returns the y coordinate of this point.

See also: setY(), x(), z(), w()

qreal QVector4D::z ( ) const

inline

Returns the z coordinate of this point.

See also: setZ(), x(), y(), w()

Friends And Related Function Documentation

bool operator!=	(	const QVector4D &	v1,
		const QVector4D &	v2
	)

friend

Returns true if v1 is not equal to v2, otherwise returns false. This operator uses an exact floating point comparison.

const QVector4D operator*	(	const QVector4D &	v1,
		const QVector4D &	v2
	)

friend

Returns the vector consisting of the multiplication of the components from v1 and v2.

See also: QVector4D::operator*=()

const QVector4D operator*	(	const QVector4D &	vector,
		qreal	factor
	)

friend

Returns a copy of the given vector, multiplied by the given factor.

See also: QVector4D::operator*=()

const QVector4D operator*	(	qreal	factor,
		const QVector4D &	vector
	)

friend

Returns a copy of the given vector, multiplied by the given factor.

See also: QVector4D::operator*=()

const QVector4D operator+	(	const QVector4D &	v1,
		const QVector4D &	v2
	)

friend

Returns a QVector4D object that is the sum of the given vectors, v1 and v2, each component is added separately.

See also: QVector4D::operator+=()

const QVector4D operator-	(	const QVector4D &	v1,
		const QVector4D &	v2
	)

friend

Returns a QVector4D object that is formed by subtracting v2 from v1, each component is subtracted separately.

See also: QVector4D::operator-=()

const QVector4D operator- ( const QVector4D & vector )

friend

Returns a QVector4D object that is formed by changing the sign of all three components of the given vector.

Equivalent to calliing QVector4D(0,0,0,0) - vector.

const QVector4D operator/	(	const QVector4D &	vector,
		qreal	divisor
	)

friend

Returns the QVector4D object formed by dividing all four components of the given vector by the given divisor.

See also: QVector4D::operator/=()

QDataStream & operator<<	(	QDataStream &	stream,
		const QVector4D &	vector
	)

Refer to Serializing Data Types for additional information.

bool operator==	(	const QVector4D &	v1,
		const QVector4D &	v2
	)

friend

Returns true if v1 is equal to v2, otherwise returns false. This operator uses an exact floating point comparison.

QDataStream & operator>>	(	QDataStream &	stream,
		QVector4D &	vector
	)

Refer to Serializing Data Types for additional information.

bool qFuzzyCompare	(	const QVector4D &	v1,
		const QVector4D &	v2
	)

friend

Returns true if v1 and v2 are equal, allowing for a small fuzziness factor for floating-point comparisons, otherwise false.

Public Methods

Static Public Methods

Friends

Related Functions

Detailed Description

Constructor & Destructor Documentation

Method Documentation

Friends And Related Function Documentation