QVector3D

PyQt5.QtGui.QVector3D

Description

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.

See also

QVector2D, QVector4D, QQuaternion.

Methods

__init__()

TODO

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__init__(QPoint)

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__init__(Union[QPointF, QPoint])

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__init__(QVector2D)

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

See also

toVector2D().

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__init__(QVector4D)

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

See also

toVector4D().

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__init__(QVector3D)

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__init__(QVector2D, float)

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__init__(float, float, float)

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__add__(QVector3D) → QVector3D

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@staticmethod
crossProduct(QVector3D, QVector3D) → QVector3D

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().

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distanceToLine(QVector3D, QVector3D) → float

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().

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distanceToPlane(QVector3D, QVector3D) → float

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(), distanceToLine().

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distanceToPlane(QVector3D, QVector3D, QVector3D) → float

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(), distanceToLine().

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distanceToPoint(QVector3D) → float

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@staticmethod
dotProduct(QVector3D, QVector3D) → float

Returns the dot product of v1 and v2.

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__eq__(QVector3D) → bool

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__getitem__(int) → float

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__iadd__(QVector3D) → QVector3D

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__imul__(float) → QVector3D

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__imul__(QVector3D) → QVector3D

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isNull() → bool

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__isub__(QVector3D) → QVector3D

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__itruediv__(float) → QVector3D

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__itruediv__(QVector3D) → QVector3D

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length() → float

Returns the length of the vector from the origin.

See also

lengthSquared(), normalized().

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lengthSquared() → 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().

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__mul__(QMatrix4x4) → QVector3D

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__mul__(float) → QVector3D

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__mul__(QVector3D) → QVector3D

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__ne__(QVector3D) → bool

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__neg__() → QVector3D

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@staticmethod
normal(QVector3D, QVector3D) → QVector3D

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(), distanceToPlane().

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@staticmethod
normal(QVector3D, QVector3D, QVector3D) → QVector3D

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(), distanceToPlane().

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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.

See also

length(), normalized().

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normalized() → QVector3D

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().

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project(QMatrix4x4, QMatrix4x4, QRect) → QVector3D

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__repr__() → str

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__rmul__(float) → QVector3D

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setX(float)

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setY(float)

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setZ(float)

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__sub__(QVector3D) → QVector3D

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toPoint() → QPoint

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toPointF() → QPointF

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toVector2D() → QVector2D

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

See also

toVector4D(), toPoint().

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toVector4D() → QVector4D

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

See also

toVector2D(), toPoint().

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__truediv__(float) → QVector3D

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__truediv__(QVector3D) → QVector3D

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unproject(QMatrix4x4, QMatrix4x4, QRect) → QVector3D

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x() → float

See also

setX().

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y() → float

See also

setY().

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z() → float

See also

setZ().