- Qt 6.10
- Qt Quick
- QML Types
- quaternion
- Qt 6.10.2 Reference Documentation

# quaternion QML Value Type

A quaternion type has scalar, x, y, and z attributes. More...

## Detailed Description

A `quaternion` type has `scalar`, `x`, `y` and `z` attributes.

To create a `quaternion` value, specify it as a "scalar,x,y,z" string, or define the components individually, or compose it with the Qt.quaternion() function.

The quaternion type has the following idempotent functions which can be invoked in QML:

Function Signature | Description | Example
--- | --- | ---

real dotProduct(quaternion other)

Returns the scalar real result of the dot product of `this` quaternion with the `other` quaternion

     var a = Qt.quaternion(1,2,3,4);
     var b = Qt.quaternion(5,6,7,8);
     var c = a.dotProduct(b);
     console.log(c); // 70

quaternion times(quaternion other)

Returns the quaternion result of multiplying `this` quaternion with the `other` quaternion, which corresponds to applying both of the rotations

     var a = Qt.quaternion(1 / Math.sqrt(2), 1 / Math.sqrt(2), 0, 0);
     var b = Qt.quaternion(1 / Math.sqrt(2), 0, 1 / Math.sqrt(2), 0);
     var c = b.times(a);
     console.log(c.toString()); // QQuaternion(0.5, 0.5, 0.5, -0.5)

vector3d times(vector3d vector)

Returns the vector3d result of rotating the `vector` with `this` quaternion

     var a = Qt.quaternion(0.5,0.5,0.5,-0.5);
     var b = Qt.vector3d(4,5,6);
     var c = a.times(b);
     console.log(c.toString()); // QVector3D(5, -6, -4)

quaternion times(real factor)

Returns the quaternion result of multiplying `this` quaternion with the scalar `factor`

     var a = Qt.quaternion(1,2,3,4);
     var b = 4.48;
     var c = a.times(b);
     console.log(c.toString()); // QQuaternion(4.48, 8.96, 13.44, 17.92)

quaternion plus(quaternion other)

Returns the quaternion result of the addition of `this` quaternion with the `other` quaternion

     var a = Qt.quaternion(1,2,3,4);
     var b = Qt.quaternion(5,6,7,8);
     var c = a.plus(b);
     console.log(c.toString()); // QQuaternion(6, 8, 10, 12)

quaternion minus(quaternion other)

Returns the quaternion result of the subtraction of `other` quaternion from `this` quaternion

     var a = Qt.quaternion(1,2,3,4);
     var b = Qt.quaternion(5,6,7,8);
     var c = a.minus(b);
     console.log(c.toString()); // QQuaternion(-4, -4, -4, -4)

quaternion normalized()

Returns the normalized unit form of `this` quaternion

     var a = Qt.quaternion(1,2,3,4);
     var b = a.normalized();
     console.log(b.toString()); // QQuaternion(0.182574, 0.365148, 0.547723, 0.730297)

quaternion inverted()

Returns the inverse of `this` quaternion

     var a = Qt.quaternion(0.5,0.5,0.5,-0.5);
     var b = a.inverted();
     console.log(b.toString()); // QQuaternion(0.5, -0.5, -0.5, 0.5)

quaternion conjugated()

Returns the conjugate of `this` quaternion

     var a = Qt.quaternion(1,2,3,4);
     var b = a.conjugated()
     console.log(b.toString()); // QQuaternion(1, -2, -3, -4)

real length()

Returns the scalar real value of the length of `this` quaternion

     var a = Qt.quaternion(1,2,3,4);
     var b = a.length();
     console.log(b.toString()); // 5.477225575051661

vector3d toEulerAngles()

Returns the vector3d Euler angles (in degrees) that corresponds to `this` quaternion

     var a = Qt.quaternion(0.933012,0.25,-0.25,0.066987);
     var b = a.toEulerAngles();
     console.log(b.toString()); // QVector3D(30, -30, -4.28846e-05)

vector4d toVector4d()

Returns the vector4d result of converting `this` quaternion to a vector4d

     var a = Qt.quaternion(1,2,3,4);
     var b = a.toVector4d();
     console.log(b.toString()); // QVector4D(2, 3, 4, 1)

bool fuzzyEquals(quaternion other, real epsilon)

Returns true if `this` quaternion is approximately equal to the `other` quaternion. The approximation will be true if each attribute of `this` is within `epsilon` of `other`. Note that `epsilon` is an optional argument, the default `epsilon` is 0.00001.

     var a = Qt.quaternion(1,2,3,4);
     var b = Qt.quaternion(1.0001, 1.9998, 2.0001, 3.9999);
     var c = a.fuzzyEquals(b);        // default epsilon
     var d = a.fuzzyEquals(b, 0.005); // supplied epsilon
     console.log(c + " " + d); // false true

Properties of type `quaternion` have `Qt.quaternion(1, 0, 0, 0)` as their default value.

This value type is provided by the QtQuick import.

See also QML Value Types.