CopperSpice API  1.7.2
QVector4D Class Reference

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

QDataStreamoperator<< (QDataStream &stream, const QVector4D &vector)
 
QDataStreamoperator>> (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 vi 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 vi 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 vi 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, vi 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 vi; each component is subtracted separately.

See also
QVector4D::operator-=()
const QVector4D operator- ( const QVector4D &  vector)
friend

This is an overloaded function.

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

Equivalent to 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 
)
related

Writes the given vector to the given stream and returns a reference to the stream.

See also
Refer to Serializing Data Types for additional information
bool operator== ( const QVector4D &  v1,
const QVector4D &  v2 
)
friend

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

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

Reads a 4D vector from the given stream into the given vector and returns a reference to the stream.

See also
Refer to Serializing Data Types for additional information
bool qFuzzyCompare ( const QVector4D &  v1,
const QVector4D &  v2 
)
friend

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