Matrix4D

class ansys.mechanical.stubs.v242.Ansys.ACT.Math.Matrix4D

Bases: object

Transformation matrix

single linear standard zero-based row-column index

0 4 8 12 | | Rot00*Sx Rot01 Rot02 TransX |

1 5 9 13 | | Rot10 Rot11*Sy Rot12 TransY |

2 6 10 14 | = | Rot20 Rot21 Rot22*Sz TransZ |

3 7 11 15 | | 0 (30) 0 (31) 0 (32) 1 (33) |

Overview

Constructors

CreateMirror	Create transformation matrix mirroring about a plane
CreateRotate	Create transformation matrix that rotates about a given vector by a given angle
CreateScale	Create scaling transformation matrix
CreateSystem	Create transformation matrix converting to new coordinate system.
CreateTranslate	Create translating transformation matrix
__add__	Matrix addition operator.
__mul__	Matrix multiplication operator - assumes (0,0,0,1) in last row.
__sub__	Matrix subtraction operator.
op_Explicit	op_Explicit method.

Methods

Add	Add matrix to itself.
Equals	Equals method.
GetHashCode	GetHashCode method.
GetType	GetType method.
Invert	Invert itself if determinant is non-zero. Return 0 if inverted; 1 - otherwise.
Multiply	Multiply this matrix by the given matrix
Scale	Convenient method to combine x, y, z scale into itself.
Subtract	Subtract matrix from itself.
ToString	String representation.
Transform	Apply this transformation matrix to a given point/vector.
Translate	Convenient method to combine (x, y, z) translatation into itself.
Transpose	Transpose itself.

Properties

Determinant	Matrix determinant accessor.
Item	Item property.

Property detail

property Matrix4D.Determinant: float | None

Matrix determinant accessor.

property Matrix4D.Item: float | None

Item property.

Method detail

Matrix4D.Add(m44: Ansys.ACT.Math.Matrix4D) → None

Add matrix to itself.

classmethod Matrix4D.CreateMirror(normal: Ansys.ACT.Math.Vector3D, d: float) → Ansys.ACT.Math.Matrix4D

Create transformation matrix mirroring about a plane

classmethod Matrix4D.CreateRotate(rotationAxis: Ansys.ACT.Math.Vector3D, rotationRadians: float) → Ansys.ACT.Math.Matrix4D

Create transformation matrix that rotates about a given vector by a given angle

classmethod Matrix4D.CreateScale(x: float, y: float, z: float) → Ansys.ACT.Math.Matrix4D

Create scaling transformation matrix

classmethod Matrix4D.CreateSystem(xAxis: Ansys.ACT.Math.Vector3D, yAxis: Ansys.ACT.Math.Vector3D, zAxis: Ansys.ACT.Math.Vector3D) → Ansys.ACT.Math.Matrix4D

Create transformation matrix converting to new coordinate system.

classmethod Matrix4D.CreateTranslate(x: float, y: float, z: float) → Ansys.ACT.Math.Matrix4D

Create translating transformation matrix

Matrix4D.Equals(obj: Any) → bool

Equals method.

Matrix4D.GetHashCode() → int

GetHashCode method.

Matrix4D.GetType() → type

GetType method.

Matrix4D.Invert() → int

Invert itself if determinant is non-zero. Return 0 if inverted; 1 - otherwise.

Matrix4D.Multiply(m44: Ansys.ACT.Math.Matrix4D) → None

Multiply this matrix by the given matrix

Matrix4D.Scale(x: float, y: float, z: float) → None

Convenient method to combine x, y, z scale into itself.

Matrix4D.Subtract(m44: Ansys.ACT.Math.Matrix4D) → None

Subtract matrix from itself.

Matrix4D.ToString() → str

String representation.

Matrix4D.Transform(vector3D: Ansys.ACT.Math.Vector3D) → Ansys.ACT.Math.Vector3D

Apply this transformation matrix to a given point/vector.
Note: assumes (0,0,0,1) in last row.

Matrix4D.Translate(x: float, y: float, z: float) → None

Convenient method to combine (x, y, z) translatation into itself.

Matrix4D.Transpose() → None

Transpose itself.

classmethod Matrix4D.__add__(a: Ansys.ACT.Math.Matrix4D, b: Ansys.ACT.Math.Matrix4D) → Ansys.ACT.Math.Matrix4D

Matrix addition operator.

classmethod Matrix4D.__mul__(a: Ansys.ACT.Math.Matrix4D, b: Ansys.ACT.Math.Matrix4D) → Ansys.ACT.Math.Matrix4D

Matrix multiplication operator - assumes (0,0,0,1) in last row.

classmethod Matrix4D.__sub__(a: Ansys.ACT.Math.Matrix4D, b: Ansys.ACT.Math.Matrix4D) → Ansys.ACT.Math.Matrix4D

Matrix subtraction operator.

classmethod Matrix4D.op_Explicit(m44: Ansys.ACT.Math.Matrix4D) → float

op_Explicit method.