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

` #include <QVector3D>`

This class was introduced in Qt 4.6.

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 ) |

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 ) |

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, and QQuaternion.

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

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

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

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

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

**See also **toVector2D().

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

**See also **toVector2D().

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

**See also **toVector4D().

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().

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().

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() and distanceToLine().

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*.

**See also **normal() and distanceToLine().

Returns the dot product of *v1* and *v2*.

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

Returns the length of the vector from the origin.

**See also **lengthSquared() and normalized().

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() and dotProduct().

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() and distanceToPlane().

This is an overloaded function.

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() and distanceToPlane().

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.

**See also **length() and normalized().

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() and normalize().

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

**See also **x(), setY(), and setZ().

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

**See also **y(), setX(), and setZ().

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

**See also **z(), setX(), and setY().

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

**See also **toPointF() and toVector2D().

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

**See also **toPoint() and toVector2D().

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

**See also **toVector4D() and toPoint().

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

**See also **toVector2D() and toPoint().

Returns the x coordinate of this point.

**See also **setX(), y(), and z().

Returns the y coordinate of this point.

**See also **setY(), x(), and z().

Returns the z coordinate of this point.

**See also **setZ(), x(), and y().

Returns the 3D vector as a QVariant.

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

**See also **operator/=().

This is an overloaded function.

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*.

**See also **crossProduct().

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

**See also **operator-=().

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

**See also **operator+=().

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

**See also **operator*=().

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

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

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

**See also **QVector3D::operator*=().

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

**See also **QVector3D::operator*=().

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().

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

**See also **QVector3D::operator+=().

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

**See also **QVector3D::operator-=().

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`.

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

**See also **QVector3D::operator/=().

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

**See also **Serializing Qt Data Types.

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

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

**See also **Serializing Qt Data Types.