Welcome to Python-flavored Magnum! Please note that, while already being rather stable, this functionality is still considered experimental and some APIs might get changed without preserving full backwards compatibility.

# magnum.Matrix4d class

3D double transformation matrix

## Static methods

def translation(arg0: Vector3d, /) -> Matrix4d
3D translation matrix
def from_(rotation_scaling: Matrix3x3d, translation: Vector3d) -> Matrix4d
Create a matrix from a rotation/scaling part and a translation part
def from_diagonal(arg0: Vector4d, /) -> Matrix4d
Construct a diagonal matrix
def identity_init(value: float = 1.0) -> Matrix4d
Construct an identity matrix
def look_at(eye: Vector3d, target: Vector3d, up: Vector3d) -> Matrix4d
Matrix oriented towards a specific point
size: Vector2d, near: float, far: float) -> Matrix4d
3D orthographic projection matrix
bottom_left: Vector2d, top_right: Vector2d, near: float, far: float) -> Matrix4d
3D off-center orthographic projection matrix
size: Vector2d, near: float, far: float) -> Matrix4d
3D perspective projection matrix
fov: Rad, aspect_ratio: float, near: float, far: float) -> Matrix4d
3D perspective projection matrix
bottom_left: Vector2d, top_right: Vector2d, near: float, far: float) -> Matrix4d
3D off-center perspective projection matrix
def reflection(arg0: Vector3d, /) -> Matrix4d
3D reflection matrix
def rotation(arg0: Rad, arg1: Vector3d, /) -> Matrix4d
3D rotation matrix
def rotation_x(arg0: Rad, /) -> Matrix4d
3D rotation matrix around the X axis
def rotation_y(arg0: Rad, /) -> Matrix4d
3D rotation matrix around the Y axis
def rotation_z(arg0: Rad, /) -> Matrix4d
3D rotation matrix around the Z axis
def scaling(arg0: Vector3d, /) -> Matrix4d
2D scaling matrix
def shearing_xy(amount_x: float, amount_y: float) -> Matrix4d
3D shearing matrix along the XY plane
def shearing_xz(amount_x: float, amount_z: float) -> Matrix4d
3D shearning matrix along the XZ plane
def shearing_yz(amount_y: float, amount_z: float) -> Matrix4d
3D shearing matrix along the YZ plane
def zero_init() -> Matrix4d
Construct a zero-filled matrix

## Methods

def adjugate(self, /) -> Matrix4d
def cofactor(self, col: int, row: int) -> float
Cofactor
def comatrix(self, /) -> Matrix4d
Matrix of cofactors
def determinant(self, /) -> float
Determinant
def diagonal(self, /) -> Vector4d
Values on diagonal
def flipped_cols(self, /) -> Matrix4d
Matrix with flipped cols
def flipped_rows(self, /) -> Matrix4d
Matrix with flipped rows
def inverted(self, /) -> Matrix4d
Inverted matrix
self, /) -> Matrix4d
Inverted orthogonal matrix
def inverted_rigid(self, /) -> Matrix4d
Inverted rigid transformation matrix
def is_orthogonal(self, /) -> bool
Whether the matrix is orthogonal
self, /) -> bool
Check whether the matrix represents a rigid transformation
def normal_matrix(self, /) -> Matrix3x3d
Normal matrix
def rotation(self, /) -> Matrix3x3d
3D rotation part of the matrix
self, /) -> Matrix3x3d
3D rotation part of the matrix assuming there is no scaling
def rotation_scaling(self, /) -> Matrix3x3d
3D rotation and scaling part of the matrix
def rotation_shear(self, /) -> Matrix3x3d
3D rotation and shear part of the matrix
def scaling(self, /) -> Vector3d
Non-uniform scaling part of the matrix
def scaling_squared(self, /) -> Vector3d
Non-uniform scaling part of the matrix, squared
def trace(self, /) -> float
Trace of the matrix
def transform_point(self, arg0: Vector3d, /) -> Vector3d
Transform a 3D point with the matrix
def transform_vector(self, arg0: Vector3d, /) -> Vector3d
Transform a 3D vector with the matrix
def transposed(self, /) -> Matrix4d
Transposed matrix
def uniform_scaling(self, /) -> float
Uniform scaling part of the matrix
self, /) -> float
Uniform scaling part of the matrix, squared

## Special methods

def __add__(self, arg0: Matrix4d, /) -> Matrix4d
def __eq__(self, arg0: Matrix4x4d, /) -> bool
Equality comparison
def __getitem__(self, arg0: int, /) -> Vector4d
Column at given position
def __getitem__(self, arg0: typing.Tuple[int, int], /) -> float
Value at given col/row
def __iadd__(self, arg0: Matrix4d, /) -> Matrix4d
Add and assign a matrix
def __imul__(self, arg0: float, /) -> Matrix4d
Multiply with a scalar and assign
def __init__(self, arg0: Matrix4, /) -> None
Construct from different underlying type
def __init__(self, arg0: buffer, /) -> None
Construct from a buffer
def __init__(self, /) -> None
Default constructor
def __init__(self, arg0: float, /) -> None
Construct a matrix with one value for all components
def __init__(self, arg0: Vector4d, arg1: Vector4d, arg2: Vector4d, arg3: Vector4d, /) -> None
Construct from column vectors
def __init__(self, arg0: typing.Tuple[Vector4d, Vector4d, Vector4d, Vector4d], /) -> None
Construct from a column vector tuple
def __init__(self, arg0: typing.Tuple[typing.Tuple[float, float, float, float], typing.Tuple[float, float, float, float], typing.Tuple[float, float, float, float], typing.Tuple[float, float, float, float]], /) -> None
Construct from a column tuple
def __isub__(self, arg0: Matrix4d, /) -> Matrix4d
Subtract and assign a matrix
def __itruediv__(self, arg0: float, /) -> Matrix4d
Divide with a scalar and assign
def __len__() -> int
Matrix column count. Returns 4.
def __matmul__(self, arg0: Matrix4d, /) -> Matrix4d
Multiply a matrix
def __mul__(self, arg0: float, /) -> Matrix4d
Multiply with a scalar
def __mul__(self, arg0: Vector4d, /) -> Vector4d
Multiply a vector
def __ne__(self, arg0: Matrix4x4d, /) -> bool
Non-equality comparison
def __neg__(self, /) -> Matrix4d
Negated matrix
def __repr__(self, /) -> str
Object representation
def __rmul__(self, arg0: float, /) -> Matrix4d
Multiply a scalar with a matrix
def __rtruediv__(self, arg0: float, /) -> Matrix4d
Divide a matrix with a scalar and invert
def __setitem__(self, arg0: int, arg1: Vector4d, /) -> None
Set a column at given position
def __setitem__(self, arg0: typing.Tuple[int, int], arg1: float, /) -> None
Set a value at given col/row
def __sub__(self, arg0: Matrix4d, /) -> Matrix4d
Subtract a matrix
def __truediv__(self, arg0: float, /) -> Matrix4d
Divide with a scalar

## Properties

backward: Vector3d get set
Backward-pointing 3D vector
Right-pointing 3D vector
translation: Vector3d get set
3D translation part of the matrix
up: Vector3d get set
Up-pointing 3D vector