QVector3D 類

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

頭: #include <QVector3D>
Since: Qt 4.6

公共函數

QVector3D ()
QVector3D (qreal xpos , qreal ypos , qreal zpos )
QVector3D (const QPoint & point )
QVector3D (const QPointF & point )
QVector3D (const QVector2D & vector )
QVector3D (const QVector2D & vector , qreal zpos )
QVector3D (const QVector4D & vector )
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
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
operator QVariant () const
QVector3D & operator*= (qreal factor )
QVector3D & operator*= (const QVector3D & vector )
QVector3D & operator+= (const QVector3D & vector )
QVector3D & operator-= (const QVector3D & vector )
QVector3D & operator/= (qreal divisor )

靜態公共成員

QVector3D crossProduct (const QVector3D & v1 , const QVector3D & v2 )
qreal dotProduct (const QVector3D & v1 , const QVector3D & v2 )
QVector3D normal (const QVector3D & v1 , const QVector3D & v2 )
QVector3D normal (const QVector3D & v1 , const QVector3D & v2 , const QVector3D & v3 )
bool qFuzzyCompare (const QVector3D & v1 , const QVector3D & v2 )
bool operator!= (const QVector3D & v1 , const QVector3D & v2 )
const QVector3D operator* (qreal factor , const QVector3D & vector )
const QVector3D operator* (const QVector3D & vector , qreal factor )
const QVector3D operator* (const QVector3D & v1 , const QVector3D & v2 )
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 )
QDataStream & operator<< (QDataStream & stream , const QVector3D & vector )
bool operator== (const QVector3D & v1 , const QVector3D & v2 )
QDataStream & operator>> (QDataStream & stream , QVector3D & vector )

詳細描述

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.

注意: 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.

另請參閱 QVector2D , QVector4D ,和 QQuaternion .

成員函數文檔編製

QVector3D:: QVector3D ()

構造 null 嚮量,即:采用坐標 (0, 0, 0)。

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

構造嚮量采用坐標 ( xpos , ypos , zpos ).

QVector3D:: QVector3D (const QPoint & point )

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

QVector3D:: QVector3D (const QPointF & point )

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

QVector3D:: QVector3D (const QVector2D & vector )

構造 3D 嚮量從指定 2D vector 。z 坐標被設為 0。

另請參閱 toVector2D ().

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

構造 3D 嚮量從指定 2D vector 。z 坐標被設為 zpos .

另請參閱 toVector2D ().

QVector3D:: QVector3D (const QVector4D & vector )

構造 3D 嚮量從指定 4D vector . The w coordinate is dropped.

另請參閱 toVector4D ().

[static] QVector3D QVector3D:: crossProduct (const QVector3D & v1 , const QVector3D & v2 )

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

另請參閱 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 .

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

另請參閱 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 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.

另請參閱 normal () 和 distanceToLine ().

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

這是重載函數。

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 .

另請參閱 normal () 和 distanceToLine ().

[static] qreal QVector3D:: dotProduct (const QVector3D & v1 , const QVector3D & v2 )

返迴點積為 v1 and v2 .

bool QVector3D:: isNull () const

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

qreal QVector3D:: length () const

從原點返迴嚮量長度。

另請參閱 lengthSquared () 和 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.

另請參閱 length () 和 dotProduct ().

[static] QVector3D QVector3D:: normal (const QVector3D & v1 , const QVector3D & v2 )

Returns the normal vector of a plane defined by vectors v1 and v2 , normalized to be a unit vector.

使用 crossProduct () to compute the cross-product of v1 and v2 if you do not need the result to be normalized to a unit vector.

另請參閱 crossProduct () 和 distanceToPlane ().

[static] QVector3D QVector3D:: normal (const QVector3D & v1 , const QVector3D & v2 , const QVector3D & v3 )

這是重載函數。

Returns the normal vector of a plane defined by vectors v2 - v1 and v3 - v1 , normalized to be a unit vector.

使用 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.

另請參閱 crossProduct () 和 distanceToPlane ().

void QVector3D:: normalize ()

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

另請參閱 length () 和 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.

另請參閱 length () 和 normalize ().

void QVector3D:: setX ( qreal x )

將此點的 X 坐標設為給定 x 坐標。

另請參閱 x (), setY (),和 setZ ().

void QVector3D:: setY ( qreal y )

將此點的 Y 坐標設為給定 y 坐標。

另請參閱 y (), setX (),和 setZ ().

void QVector3D:: setZ ( qreal z )

Sets the z coordinate of this point to the given z 坐標。

另請參閱 z (), setX (),和 setY ().

QPoint QVector3D:: toPoint () const

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

另請參閱 toPointF () 和 toVector2D ().

QPointF QVector3D:: toPointF () const

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

另請參閱 toPoint () 和 toVector2D ().

QVector2D QVector3D:: toVector2D () const

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

另請參閱 toVector4D () 和 toPoint ().

QVector4D QVector3D:: toVector4D () const

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

另請參閱 toVector2D () 和 toPoint ().

qreal QVector3D:: x () const

返迴此點的 X 坐標。

另請參閱 setX (), y (),和 z ().

qreal QVector3D:: y () const

返迴此點的 Y 坐標。

另請參閱 setY (), x (),和 z ().

qreal QVector3D:: z () const

返迴此點的 z 坐標。

另請參閱 setZ (), x (),和 y ().

QVector3D:: operator QVariant () const

Returns the 3D vector as a QVariant .

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

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

另請參閱 operator/= ().

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

這是重載函數。

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

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

另請參閱 crossProduct ().

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

添加給定 vector to this vector and returns a reference to this vector.

另請參閱 operator-= ().

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

減去給定 vector from this vector and returns a reference to this vector.

另請參閱 operator+= ().

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

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

另請參閱 operator*= ().

相關非成員

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

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

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

返迴 true 若 v1 不等於 v2 ; otherwise returns false. This operator uses an exact floating-point comparison.

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

返迴副本為給定 vector ,乘以給定 factor .

另請參閱 QVector3D::operator*= ().

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

返迴副本為給定 vector ,乘以給定 factor .

另請參閱 QVector3D::operator*= ().

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

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

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

另請參閱 QVector3D::crossProduct ().

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

返迴 QVector3D object that is the sum of the given vectors, v1 and v2 ;各分量分彆相加。

另請參閱 QVector3D::operator+= ().

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

返迴 QVector3D 對象的形成是通過減去 v2 from v1 ;分彆減去各分量。

另請參閱 QVector3D::operator-= ().

const QVector3D operator- (const QVector3D & vector )

這是重載函數。

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

相當於 QVector3D(0,0,0) - vector .

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

返迴 QVector3D object formed by dividing all three components of the given vector 通過給定 divisor .

另請參閱 QVector3D::operator/= ().

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

寫入給定 vector 到給定 stream 並返迴流引用。

另請參閱 序列化 Qt 數據類型 .

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

返迴 true 若 v1 等於 v2 ; otherwise returns false. This operator uses an exact floating-point comparison.

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

讀取 3D 嚮量從給定 stream 進給定 vector 並返迴流引用。

另請參閱 序列化 Qt 數據類型 .