# QVector4D¶

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

New in version 4.6.

## 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.

class PySide6.QtGui.QVector4D

PySide6.QtGui.QVector4D(point)

PySide6.QtGui.QVector4D(point)

PySide6.QtGui.QVector4D(vector)

PySide6.QtGui.QVector4D(vector, zpos, wpos)

PySide6.QtGui.QVector4D(vector)

PySide6.QtGui.QVector4D(vector, wpos)

PySide6.QtGui.QVector4D(xpos, ypos, zpos, wpos)

Parameters
• wpos – float

• xpos – float

• zpos – float

• ypos – float

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

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

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

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

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.

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

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

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

PySide6.QtGui.QVector4D.__reduce__()
Return type

object

PySide6.QtGui.QVector4D.__repr__()
Return type

object

static PySide6.QtGui.QVector4D.dotProduct(v1, v2)
Parameters
Return type

float

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

PySide6.QtGui.QVector4D.isNull()
Return type

bool

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

PySide6.QtGui.QVector4D.length()
Return type

float

Returns the length of the vector from the origin.

PySide6.QtGui.QVector4D.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.

PySide6.QtGui.QVector4D.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.

PySide6.QtGui.QVector4D.normalized()
Return type

`PySide6.QtGui.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.

PySide6.QtGui.QVector4D.__ne__(v2)
Parameters
Return type

bool

PySide6.QtGui.QVector4D.__mul__(v2)
Parameters
Return type

`PySide6.QtGui.QVector4D`

PySide6.QtGui.QVector4D.__mul__(matrix)
Parameters
Return type

`PySide6.QtGui.QVector4D`

PySide6.QtGui.QVector4D.__mul__(matrix)
Parameters
Return type

`PySide6.QtGui.QVector4D`

PySide6.QtGui.QVector4D.__mul__(factor)
Parameters

factor – float

Return type

`PySide6.QtGui.QVector4D`

PySide6.QtGui.QVector4D.__mul__(factor)
Parameters

factor – float

Return type

`PySide6.QtGui.QVector4D`

PySide6.QtGui.QVector4D.__imul__(vector)
Parameters
Return type

`PySide6.QtGui.QVector4D`

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

`operator/=()` `operator*()`

PySide6.QtGui.QVector4D.__imul__(factor)
Parameters

factor – float

Return type

`PySide6.QtGui.QVector4D`

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

`operator/=()` `operator*()`

Parameters
Return type

`PySide6.QtGui.QVector4D`

Parameters
Return type

`PySide6.QtGui.QVector4D`

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

`operator-=()`

PySide6.QtGui.QVector4D.__sub__(v2)
Parameters
Return type

`PySide6.QtGui.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`.

PySide6.QtGui.QVector4D.__sub__()
Return type

`PySide6.QtGui.QVector4D`

PySide6.QtGui.QVector4D.__isub__(vector)
Parameters
Return type

`PySide6.QtGui.QVector4D`

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

`operator+=()`

PySide6.QtGui.QVector4D.__div__(divisor)
Parameters
Return type

`PySide6.QtGui.QVector4D`

PySide6.QtGui.QVector4D.__div__(divisor)
Parameters

divisor – float

Return type

`PySide6.QtGui.QVector4D`

PySide6.QtGui.QVector4D.__idiv__(vector)
Parameters
Return type

`PySide6.QtGui.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.

`operator*=()` `operator/()`

PySide6.QtGui.QVector4D.__idiv__(divisor)
Parameters

divisor – float

Return type

`PySide6.QtGui.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.

`operator*=()`

PySide6.QtGui.QVector4D.__eq__(v2)
Parameters
Return type

bool

PySide6.QtGui.QVector4D.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).

PySide6.QtGui.QVector4D.setW(w)
Parameters

w – float

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

PySide6.QtGui.QVector4D.setX(x)
Parameters

x – float

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

PySide6.QtGui.QVector4D.setY(y)
Parameters

y – float

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

PySide6.QtGui.QVector4D.setZ(z)
Parameters

z – float

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

PySide6.QtGui.QVector4D.toPoint()
Return type

`PySide6.QtCore.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.

PySide6.QtGui.QVector4D.toPointF()
Return type

`PySide6.QtCore.QPointF`

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

PySide6.QtGui.QVector4D.toTuple()
Return type

object

PySide6.QtGui.QVector4D.toVector2D()
Return type

`PySide6.QtGui.QVector2D`

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

PySide6.QtGui.QVector4D.toVector2DAffine()
Return type

`PySide6.QtGui.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.

PySide6.QtGui.QVector4D.toVector3D()
Return type

`PySide6.QtGui.QVector3D`

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

PySide6.QtGui.QVector4D.toVector3DAffine()
Return type

`PySide6.QtGui.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.

PySide6.QtGui.QVector4D.w()
Return type

float

Returns the w coordinate of this point.

PySide6.QtGui.QVector4D.x()
Return type

float

Returns the x coordinate of this point.

PySide6.QtGui.QVector4D.y()
Return type

float

Returns the y coordinate of this point.