CopperSpice API
1.7.2

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) 
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.
float
. This means that on platforms where the qreal
arguments to QVector3D functions are represented by double
values, it is possible to lose precision.

inline 
Constructs a null vector, i.e. with coordinates (0, 0, 0).
Constructs a vector with coordinates (xpos, ypos, zpos).

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

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

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

static 
Returns the crossproduct of vectors vi and v2, which corresponds to the normal vector of a plane defined by vi and v2.
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.
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.
qreal QVector3D::distanceToPlane  (  const QVector3D &  plane1, 
const QVector3D &  plane2,  
const QVector3D &  plane3  
)  const 
This is an overloaded function.
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.

static 
Returns the dot product of vi and v2.

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.
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.

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

static 
This is an overloaded function.
Returns the normal vector of a plane defined by vectors v2  vi and v3  vi, normalized to be a unit vector.
Use crossProduct() to compute the crossproduct of v2  vi and v3  vi if you do not need the result to be normalized to a unit vector.
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.
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 asis. Otherwise the normalized form of the vector of length 1 will be returned.

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.

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

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

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

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

inline 

inline 

inline 

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

inline 
Returns the QPointF form of this 3D vector. The z coordinate is dropped.
QVector2D QVector3D::toVector2D  (  )  const 
Returns the 2D vector form of this 3D vector, dropping the z coordinate.
QVector4D QVector3D::toVector4D  (  )  const 
Returns the 4D form of this 3D vector, with the w coordinate set to zero.

inline 

inline 

inline 

friend 
Returns true if vi is not equal to v2, otherwise returns false. This operator uses an exact floatingpoint comparison.

friend 
Multiplies the components of vi by the corresponding components in v2.
Note: this is not the same as the crossProduct() of vi and v2.

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

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

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

friend 
Returns a QVector3D object that is formed by subtracting v2 from vi; each component is subtracted separately.

friend 
This is an overloaded function.
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
.

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

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

friend 
Returns true if vi is equal to v2, otherwise returns false. This operator uses an exact floatingpoint comparison.

related 
Reads a 3D vector from the given stream into the given vector and returns a reference to the stream.

friend 
Returns true if vi and v2 are equal, allowing for a small fuzziness factor for floatingpoint comparisons, otherwise false.