4D Vector (Quaternion) - Open Dev Kit Documentation

Open Dev Kit Documentation :: General :: 4D Vector (Quaternion)

Root.Vector4

Four-dimensional vector. Consists of an X, Y, Z and W component. Typically used in computer graphics and mathematics to represent positions, directions, or color values.

Functions

Constructor ( X Float, Y Float, Z Float, W Float )
Multiply Quaternion ( Quaternion 1 4D Vector (Quaternion), Quaternion 2 4D Vector (Quaternion) ) 4D Vector (Quaternion): Multiplies two quaternions together
Divide Quaternion ( Quaternion 1 4D Vector (Quaternion), Quaternion 2 4D Vector (Quaternion) ) 4D Vector (Quaternion): Divides two quaternions by multiplying the inverse of the second with the first
Angle Difference Quaternion ( Quaternion 1 4D Vector (Quaternion), Quaternion 2 4D Vector (Quaternion), Global Boolean ) Float: Returns the angle difference between the two quaternion orientations
Plane Project ( Position 3D Vector ) 3D Vector: Projects a vector onto the plane; finds the closest point on a plane from a point
Create Plane Normal ( Position 3D Vector, Normal 3D Vector ) 4D Vector (Quaternion): Creates a plane from a single point and normal vector
Create Angles XYZ ( Angles 3D Vector ) 4D Vector (Quaternion): Creates an orientation from Euler radian angles (X:pitch, Y:roll, Z:yaw)
Create Angles XYZ Deg ( Angles 3D Vector ) 4D Vector (Quaternion): Creates an orientation from Euler degree angles (X:pitch, Y:roll, Z:yaw)
Create Look At ( Position 3D Vector, Target 3D Vector, Up Vector 3D Vector ) 4D Vector (Quaternion): Creates an orientation from a target direction or velocity
Create Matrix ( Matrix Matrix 4x 4 ) 4D Vector (Quaternion): Creates an orientation from a matrix
Create Standard Orientation ( Orientation Standard Orientation ) 4D Vector (Quaternion): Creates a stanard orientation
Spherical Linear Interpolate ( Vector 1 4D Vector (Quaternion), Vector 2 4D Vector (Quaternion), Factor Double ) 4D Vector (Quaternion): Returns Vector 1 if Factor is 0, Vector 2 if Factor is 1 and the average of Vector 1 and 2 if Factor is 0.5, with everything in between using vector interpolation
Transform Position ( Position 3D Vector ) 3D Vector: Returns a transformed 3D position vector
Transform Direction ( Direction 3D Vector ) 3D Vector: Returns a transformed 3D normalized directional vector
Transform Quaternion ( Quaternion 4D Vector (Quaternion) ) 4D Vector (Quaternion): Returns a transformed orientation quaternion
Offset Position ( Position 3D Vector, Distance Float ) 3D Vector: Returns a 3D position vector translated in the direction of the quaternion by the specified distance
Flipped ( Axes Axes ) 4D Vector (Quaternion): Returns the quaternion flipped along the specified axes
Rotated XYZ ( Angles 3D Vector ) 4D Vector (Quaternion): Returns the quaternion rotated by the specified Euler radian angles in XYZ order
Rotated XYZ Deg ( Angles 3D Vector ) 4D Vector (Quaternion): Returns the quaternion rotated by the specified Euler degree angles in XYZ order

Properties

X Float: X component of the vector
Y Float: Y component of the vector
Z Float: Z component of the vector
W Float: W component of the vector; defaults to 1 to simplify quaternion usage
Angles XYZ 3D Vector: Euler radian angles of the quaternion in XYZ order
Angles XYZ Deg 3D Vector: Euler degree angles of the quaternion in XYZ order
Normalized 4D Vector (Quaternion): vector noramlized
Inverted 4D Vector (Quaternion): inverted (conguate+normalize) vector
Length Float: length of the vector
Length Squared Float: length of the vector squared; calculated faster and better to use against other lengths which can also easily be squared

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