The QVector3D class represents a vector or vertex in 3D space. More...

Public Methods
	QVector3D ()

	QVector3D (const QPoint &point)

	QVector3D (const QPointF &point)

	QVector3D (const QVector2D &vector)

	QVector3D (const QVector2D &vector, qreal zpos)

	QVector3D (const QVector4D &vector)

	QVector3D (qreal xpos, qreal ypos, qreal zpos)

qreal	distanceToLine (const QVector3D &point, const QVector3D &direction) const

qreal	distanceToPlane (const QVector3D &plane, const QVector3D &normal) const

qreal	distanceToPlane (const QVector3D &plane1, const QVector3D &plane2, const QVector3D &plane3) const

bool	isNull () const

qreal	length () const

qreal	lengthSquared () const

void	normalize ()

QVector3D	normalized () const

	operator QVariant () const

QVector3D &	operator*= (const QVector3D &vector)

QVector3D &	operator*= (qreal factor)

QVector3D &	operator+= (const QVector3D &vector)

QVector3D &	operator-= (const QVector3D &vector)

QVector3D &	operator/= (qreal divisor)

void	setX (qreal x)

void	setY (qreal y)

void	setZ (qreal z)

QPoint	toPoint () const

QPointF	toPointF () const

QVector2D	toVector2D () const

QVector4D	toVector4D () const

qreal	x () const

qreal	y () const

qreal	z () const

Static Public Methods
static QVector3D	crossProduct (const QVector3D &v1, const QVector3D &v2)

static qreal	dotProduct (const QVector3D &v1, const QVector3D &v2)

static QVector3D	normal (const QVector3D &v1, const QVector3D &v2)

static QVector3D	normal (const QVector3D &v1, const QVector3D &v2, const QVector3D &v3)

Friends
bool	operator!= (const QVector3D &v1, const QVector3D &v2)

const QVector3D	operator* (const QVector3D &v1, const QVector3D &v2)

const QVector3D	operator* (const QVector3D &vector, qreal factor)

const QVector3D	operator* (qreal factor, const QVector3D &vector)

const QVector3D	operator+ (const QVector3D &v1, const QVector3D &v2)

const QVector3D	operator- (const QVector3D &v1, const QVector3D &v2)

const QVector3D	operator- (const QVector3D &vector)

const QVector3D	operator/ (const QVector3D &vector, qreal divisor)

bool	operator== (const QVector3D &v1, const QVector3D &v2)

bool	qFuzzyCompare (const QVector3D &v1, const QVector3D &v2)

class	QVector2D

class	QVector4D

Related Functions
These are not member functions
QDataStream &	operator<< (QDataStream &stream, const QVector3D &vector)

QDataStream &	operator>> (QDataStream &stream, QVector3D &vector)

Detailed Description

The QVector3D class represents a vector or vertex in 3D space.

Vectors are one of the main building blocks of 3D representation and drawing. They consist of three coordinates, traditionally called x, y, and z.

The QVector3D class can also be used to represent vertices in 3D space. We therefore do not need to provide a separate vertex class.

Note: By design values in the QVector3D instance are stored as float. This means that on platforms where the qreal arguments to QVector3D functions are represented by double values, it is possible to lose precision.

See also: QVector2D, QVector4D, QQuaternion

Constructor & Destructor Documentation

QVector3D::QVector3D ( )

inline

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

QVector3D::QVector3D	(	qreal	xpos,
		qreal	ypos,
		qreal	zpos
	)

inline

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

QVector3D::QVector3D ( const QPoint & point )

inlineexplicit

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

QVector3D::QVector3D ( const QPointF & point )

inlineexplicit

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

QVector3D::QVector3D ( const QVector2D & vector )

Constructs a 3D vector from the specified 2D vector. The z coordinate is set to zero.

See also: toVector2D()

QVector3D::QVector3D	(	const QVector2D &	vector,
		qreal	zpos
	)

Constructs a 3D vector from the specified 2D vector. The z coordinate is set to zpos.

See also: toVector2D()

QVector3D::QVector3D ( const QVector4D & vector )

explicit

Constructs a 3D vector from the specified 4D vector. The w coordinate is dropped.

See also: toVector4D()

Method Documentation

QVector3D QVector3D::crossProduct	(	const QVector3D &	v1,
		const QVector3D &	v2
	)

static

Returns the cross-product of vectors v1 and v2, which corresponds to the normal vector of a plane defined by v1 and v2.

See also: normal()

qreal QVector3D::distanceToLine	(	const QVector3D &	point,
		const QVector3D &	direction
	)		const

Returns the distance that this vertex is from a line defined by point and the unit vector direction.

If direction is a null vector, then it does not define a line. In that case, the distance from point to this vertex is returned.

See also: distanceToPlane()

qreal QVector3D::distanceToPlane	(	const QVector3D &	plane,
		const QVector3D &	normal
	)		const

Returns the distance from this vertex to a plane defined by the vertex plane and a normal unit vector. The normal parameter is assumed to have been normalized to a unit vector.

The return value will be negative if the vertex is below the plane, or zero if it is on the plane.

See also: normal(), distanceToLine()

qreal QVector3D::distanceToPlane	(	const QVector3D &	plane1,
		const QVector3D &	plane2,
		const QVector3D &	plane3
	)		const

Returns the distance from this vertex a plane defined by the vertices plane1, plane2 and plane3. The return value will be negative if the vertex is below the plane, or zero if it is on the plane.

The two vectors that define the plane are plane2 - plane1 and plane3 - plane1.

See also: normal(), distanceToLine()

qreal QVector3D::dotProduct	(	const QVector3D &	v1,
		const QVector3D &	v2
	)

static

Returns the dot product of v1 and v2.

bool QVector3D::isNull ( ) const

inline

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

qreal QVector3D::length ( ) const

Returns the length of the vector from the origin.

See also: lengthSquared(), normalized()

qreal QVector3D::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()

QVector3D QVector3D::normal	(	const QVector3D &	v1,
		const QVector3D &	v2
	)

static

Returns the normal vector of a plane defined by vectors v1 and v2, normalized to be a unit vector. Use crossProduct() to compute the cross-product of v1 and v2 if you do not need the result to be normalized to a unit vector.

See also: crossProduct(), distanceToPlane()

QVector3D QVector3D::normal	(	const QVector3D &	v1,
		const QVector3D &	v2,
		const QVector3D &	v3
	)

static

Returns the normal vector of a plane defined by vectors (v2 - v1) and (v3 - v1), normalized to be a unit vector. Use crossProduct() to compute the cross-product of (v2 - v1) and (v3 - v1) if you do not need the result to be normalized to a unit vector.

See also: crossProduct(), distanceToPlane()

void QVector3D::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()

QVector3D QVector3D::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()

QVector3D::operator QVariant ( ) const

Returns the 3D vector as a QVariant.

QVector3D & QVector3D::operator*= ( const QVector3D & vector )

inline

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

This is not the same as the crossProduct() of this vector and vector.

See also: crossProduct()

QVector3D & QVector3D::operator*= ( qreal factor )

inline

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

See also: operator/=()

QVector3D & QVector3D::operator+= ( const QVector3D & vector )

inline

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

See also: operator-=()

QVector3D & QVector3D::operator-= ( const QVector3D & vector )

inline

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

See also: operator+=()

QVector3D & QVector3D::operator/= ( qreal divisor )

inline

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

See also: operator*=()

void QVector3D::setX ( qreal x )

inline

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

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

void QVector3D::setY ( qreal y )

inline

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

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

void QVector3D::setZ ( qreal z )

inline

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

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

QPoint QVector3D::toPoint ( ) const

inline

Returns the QPoint form of this 3D vector. The z coordinate is dropped.

See also: toPointF(), toVector2D()

QPointF QVector3D::toPointF ( ) const

inline

Returns the QPointF form of this 3D vector. The z coordinate is dropped.

See also: toPoint(), toVector2D()

QVector2D QVector3D::toVector2D ( ) const

Returns the 2D vector form of this 3D vector, dropping the z coordinate.

See also: toVector4D(), toPoint()

QVector4D QVector3D::toVector4D ( ) const

Returns the 4D form of this 3D vector, with the w coordinate set to zero.

See also: toVector2D(), toPoint()

qreal QVector3D::x ( ) const

inline

Returns the x coordinate of this point.

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

qreal QVector3D::y ( ) const

inline

Returns the y coordinate of this point.

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

qreal QVector3D::z ( ) const

inline

Returns the z coordinate of this point.

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

Friends And Related Function Documentation

bool operator!=	(	const QVector3D &	v1,
		const QVector3D &	v2
	)

friend

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

const QVector3D operator*	(	const QVector3D &	v1,
		const QVector3D &	v2
	)

friend

Multiplies the components of v1 by the corresponding components in v2.

Note: this is not the same as the crossProduct() of v1 and v2.

See also: QVector3D::crossProduct()

const QVector3D operator*	(	const QVector3D &	vector,
		qreal	factor
	)

friend

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

See also: QVector3D::operator*=()

const QVector3D operator*	(	qreal	factor,
		const QVector3D &	vector
	)

friend

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

See also: QVector3D::operator*=()

const QVector3D operator+	(	const QVector3D &	v1,
		const QVector3D &	v2
	)

friend

Returns a QVector3D object that is the sum of the given vectors, v1 and v2, each component is added separately.

See also: QVector3D::operator+=()

const QVector3D operator-	(	const QVector3D &	v1,
		const QVector3D &	v2
	)

friend

Returns a QVector3D object that is formed by subtracting v2 from v1, each component is subtracted separately.

See also: QVector3D::operator-=()

const QVector3D operator- ( const QVector3D & vector )

friend

Returns a QVector3D object that is formed by changing the sign of all three components of the given vector.

Equivalent to QVector3D(0,0,0) - vector.

const QVector3D operator/	(	const QVector3D &	vector,
		qreal	divisor
	)

friend

Returns the QVector3D object formed by dividing all three components of the given vector by the given divisor.

See also: QVector3D::operator/=()

QDataStream & operator<<	(	QDataStream &	stream,
		const QVector3D &	vector
	)

Refer to Serializing Data Types for additional information.

bool operator==	(	const QVector3D &	v1,
		const QVector3D &	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,
		QVector3D &	vector
	)

Refer to Serializing Data Types for additional information.

bool qFuzzyCompare	(	const QVector3D &	v1,
		const QVector3D &	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