class QVector4D#

The QVector4D class represents a vector or vertex in 4D space. More…

New in version 4.6.

Synopsis#

Methods#

def __init__()
def __reduce__()
def __repr__()
def isNull()
def length()
def lengthSquared()
def normalize()
def normalized()
def __ne__()
def __mul__()
def __imul__()
def __add__()
def __iadd__()
def __sub__()
def __isub__()
def __div__()
def operator/=()
def __eq__()
def operator[]()
def setW()
def setX()
def setY()
def setZ()
def toPoint()
def toPointF()
def toTuple()
def toVector2D()
def toVector2DAffine()
def toVector3D()
def toVector3DAffine()
def w()
def x()
def y()
def z()

Static functions#

def dotProduct()

Note

This documentation may contain snippets that were automatically translated from C++ to Python. We always welcome contributions to the snippet translation. If you see an issue with the translation, you can also let us know by creating a ticket on https:/bugreports.qt.io/projects/PYSIDE

Detailed Description#

Vectors are one of the main building blocks of 4D affine representations of 3D space. They consist of four finite floating-point coordinates, traditionally called x, y, z and w.

The QVector4D class can also be used to represent vertices in 4D space. We therefore do not need to provide a separate vertex class.

See also

QQuaternion QVector2D QVector3D

__init__(point)#

Parameters:: point – QPoint

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

__init__()

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

__init__(xpos, ypos, zpos, wpos)

Parameters:

xpos – float
ypos – float
zpos – float
wpos – float

Constructs a vector with coordinates (xpos, ypos, zpos, wpos). All parameters must be finite.

__init__(vector, wpos)

Parameters:

vector – QVector3D
wpos – float

Constructs a 4D vector from the specified 3D vector. The w coordinate is set to wpos, which must be finite.

See also

toVector3D()

__init__(vector)

Parameters:: vector – QVector3D

Constructs a 4D vector from the specified 3D vector. The w coordinate is set to zero.

See also

toVector3D()

__init__(vector)

Parameters:: vector – QVector2D

Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zero.

See also

toVector2D()

__init__(point)

Parameters:: point – QPointF

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

__init__(vector, zpos, wpos)

Parameters:

vector – QVector2D
zpos – float
wpos – float

Constructs a 4D vector from the specified 2D vector. The z and w coordinates are set to zpos and wpos respectively, each of which must be finite.

See also

toVector2D()

__reduce__()#

Return type:: object

__repr__()#

Return type:: object

static dotProduct(v1, v2)#

Parameters:

v1 – QVector4D
v2 – QVector4D

Return type:

float

Returns the dot product of v1 and v2.

isNull()#

Return type:: bool

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

length()#

Return type:: float

Returns the length of the vector from the origin.

See also

lengthSquared() normalized()

lengthSquared()#

Return type:: float

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()

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()

normalized()#

Return type:: QVector4D

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()

__ne__(v2)#

Parameters:: v2 – QVector4D
Return type:: bool

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

__mul__(v2)#

Parameters:: v2 – QVector4D
Return type:: QVector4D

Returns the QVector4D object formed by multiplying each component of v1 by the corresponding component of v2.

Note

This is not a cross product of v1 and v2 in any sense. (Its components add up to the dot product of v1 and v2.)

See also

operator*=()

__mul__(matrix)

Parameters:: matrix – QMatrix4x4
Return type:: QVector4D

__mul__(matrix)

Parameters:: matrix – QMatrix4x4
Return type:: QVector4D

__mul__(factor)

Parameters:: factor – float
Return type:: QVector4D

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

See also

operator*=()

__mul__(factor)

Parameters:: factor – float
Return type:: QVector4D

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

See also

operator*=()

__imul__(vector)#

Parameters:: vector – QVector4D
Return type:: QVector4D

Multiplies each component of this vector by the corresponding component of vector and returns a reference to this vector.

See also

operator/=() operator*()

__imul__(factor)

Parameters:: factor – float
Return type:: QVector4D

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

See also

operator/=() operator*()

__add__(v2)#

Parameters:: v2 – QVector4D
Return type:: QVector4D

Returns a QVector4D object that is the sum of the given vectors, v1 and v2; each component is added separately.

See also

operator+=()

__iadd__(vector)#

Parameters:: vector – QVector4D
Return type:: QVector4D

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

See also

operator-=()

__sub__(v2)#

Parameters:: v2 – QVector4D
Return type:: QVector4D

Returns a QVector4D object that is formed by subtracting v2 from v1; each component is subtracted separately.

See also

operator-=()

__sub__()

Return type:: QVector4D

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.

__isub__(vector)#

Parameters:: vector – QVector4D
Return type:: QVector4D

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

See also

operator+=()

__div__(divisor)#

Parameters:: divisor – QVector4D
Return type:: QVector4D

Returns the QVector4D object formed by dividing each component of the given vector by the corresponding component of the given divisor.

The divisor must have no component that is either zero or NaN.

See also

operator/=()

__div__(divisor)

Parameters:: divisor – float
Return type:: QVector4D

Returns the QVector4D object formed by dividing each component of the given vector by the given divisor.

The divisor must not be either zero or NaN.

See also

operator/=()

operator/=(vector)

Parameters:: vector – QVector4D
Return type:: QVector4D

Divides each component of this vector by the corresponding component of vector and returns a reference to this vector.

The vector must have no component that is either zero or NaN.

See also

operator*=() operator/()

operator/=(divisor)

Parameters:: divisor – float
Return type:: QVector4D

Divides this vector’s coordinates by the given divisor, and returns a reference to this vector. The divisor must not be either zero or NaN.

See also

operator*=()

__eq__(v2)#

Parameters:: v2 – QVector4D
Return type:: bool

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

operator(i)#

Parameters:: i – int
Return type:: float

Returns the component of the vector at index position i.

i must be a valid index position in the vector (i.e., 0 <= i < 4).

setW(w)#

Parameters:: w – float

Sets the w coordinate of this point to the given finite w coordinate.

See also

w() setX() setY() setZ()

setX(x)#

Parameters:: x – float

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

See also

x() setY() setZ() setW()

setY(y)#

Parameters:: y – float

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

See also

y() setX() setZ() setW()

setZ(z)#

Parameters:: z – float

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

See also

z() setX() setY() setW()

toPoint()#

Return type:: QPoint

Returns the QPoint form of this 4D vector. The z and w coordinates are dropped. The x and y coordinates are rounded to nearest integers.

See also

toPointF() toVector2D()

toPointF()#

Return type:: QPointF

Returns the QPointF form of this 4D vector. The z and w coordinates are dropped.

See also

toPoint() toVector2D()

toTuple()#

Return type:: object

toVector2D()#

Return type:: QVector2D

Returns the 2D vector form of this 4D vector, dropping the z and w coordinates.

See also

toVector2DAffine() toVector3D() toPoint()

toVector2DAffine()#

Return type:: QVector2D

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()

toVector3D()#

Return type:: QVector3D

Returns the 3D vector form of this 4D vector, dropping the w coordinate.

See also

toVector3DAffine() toVector2D() toPoint()

toVector3DAffine()#

Return type:: QVector3D

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()

w()#

Return type:: float

Returns the w coordinate of this point.

See also

setW() x() y() z()

x()#

Return type:: float

Returns the x coordinate of this point.

See also

setX() y() z() w()

y()#

Return type:: float

Returns the y coordinate of this point.

See also

setY() x() z() w()

z()#

Return type:: float

Returns the z coordinate of this point.

See also

setZ() x() y() w()