Matrix4x4
standard 4x4 transformation matrix.
Members
Properties
| Name | Description |
|---|---|
Matrix4x4.[index] | Access element at sequential index (1..16 inclusive). |
Matrix4x4.[[row, column]](./[row, column].md) | Access element at [row, column]. |
Matrix4x4.decomposeProjection | This property takes a projection matrix and returns the six plane coordinates that define a projection frustum. |
Matrix4x4.determinant | The determinant of the matrix. (Read Only) |
Matrix4x4.inverse | The inverse of this matrix. (Read Only) |
Matrix4x4.isIdentity | Checks whether this is an identity matrix. (Read Only) |
Matrix4x4.lossyScale | Attempts to get a scale value from the matrix. (Read Only) |
Matrix4x4.rotation | Attempts to get a rotation quaternion from this matrix. |
Matrix4x4.transpose | Returns the transpose of this matrix (Read Only). |
Static Properties
| Name | Description |
|---|---|
Matrix4x4.identity | Returns the identity matrix (Read Only). |
Matrix4x4.zero | Returns a matrix with all elements set to zero (Read Only). |
Methods
| Name | Description |
|---|---|
Matrix4x4.GetColumn(index) | Get a column of the matrix. The i-th column is returned as a Vector4. i must be from 1 to 4 inclusive. |
Matrix4x4.GetRow(index) | Returns a row of the matrix. |
Matrix4x4.MultiplyPoint(point) | Transforms a position by this matrix (generic). |
Matrix4x4.MultiplyPoint3x4( point) | Transforms a position by this matrix (fast). |
Matrix4x4.MultiplyVector(vector) | Transforms a direction by this matrix. |
Matrix4x4.SetColumn(index, column) | Sets a column of the matrix. |
Matrix4x4.SetRow(index, row) | Sets a row of the matrix. |
Matrix4x4.TransformPlane(plane) | Returns a plane that is transformed in space. |
Matrix4x4.ValidTRS() | Checks if this matrix is a valid transform matrix. |
Static Methods
| Name | Description |
|---|---|
Matrix4x4.Frustum(left, right, bottom, top, zNear, zFar) | This function returns a projection matrix with viewing frustum that has a near plane defined by the coordinates that were passed in. |
Matrix4x4.Frustum(frustumPlanes) | This function returns a projection matrix with viewing frustum that has a near plane defined by the coordinates that were passed in. |
Matrix4x4.Inverse3DAffine(input) | Computes the inverse of a 3D affine matrix. |
Matrix4x4.LookAt(from, to, up) | Create a "look at" matrix. |
Matrix4x4.Ortho(left, right, bottom, top, zNear, zFar) | Create an orthogonal projection matrix. |
Matrix4x4.Perspective(fov, aspect, zNear, zFar) | Create a perspective projection matrix. |
Matrix4x4.Rotate(q) | Creates a rotation matrix. |
Matrix4x4.Scale(vector) | Creates a scaling matrix. |
Matrix4x4.Translate(vector) | Creates a translation matrix. |
Matrix4x4.TRS(pos, q, s) | Creates a translation, rotation and scaling matrix. |
Operators
| Name | Description |
|---|---|
| Operator (Matrix4x4*Matrix4x4) | Multiplies two matrices. |
| Operator (Matrix4x4*Vector4) | Transforms a Vector4 by a matrix. |
Extra Detail
A transformation matrix can perform arbitrary linear 3D transformations (i.e. translation, rotation, scale, shear etc.) and perspective transformations using homogenous coordinates. You rarely use matrices in scripts; most often using Vector3s, Quaternions and functionality of Transform class is more straightforward. Plain matrices are used in special cases like setting up nonstandard camera projection.