magnum.Matrix4d class

Static methods

def translation(vector: 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(diagonal: 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

def orthographic_projection(size: Vector2d, near: float, far: float) -> Matrix4d

3D orthographic projection matrix

def orthographic_projection(bottom_left: Vector2d, top_right: Vector2d, near: float, far: float) -> Matrix4d

3D off-center orthographic projection matrix

def perspective_projection(size: Vector2d, near: float, far: float) -> Matrix4d

3D perspective projection matrix

def perspective_projection(fov: Rad, aspect_ratio: float, near: float, far: float) -> Matrix4d

3D perspective projection matrix

def perspective_projection(bottom_left: Vector2d, top_right: Vector2d, near: float, far: float) -> Matrix4d

3D off-center perspective projection matrix

def reflection(normal: Vector3d) -> Matrix4d

3D reflection matrix

def rotation(angle: Rad, normalized_axis: Vector3d) -> Matrix4d

3D rotation matrix

def rotation_x(angle: Rad) -> Matrix4d

3D rotation matrix around the X axis

def rotation_y(angle: Rad) -> Matrix4d

3D rotation matrix around the Y axis

def rotation_z(angle: Rad) -> Matrix4d

3D rotation matrix around the Z axis

def scaling(vector: 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

Adjugate matrix

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

def inverted_orthogonal(self, /) -> Matrix4d

Inverted orthogonal matrix

def inverted_rigid(self, /) -> Matrix4d

Inverted rigid transformation matrix

def is_orthogonal(self, /) -> bool

Whether the matrix is orthogonal

def is_rigid_transformation(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

def rotation_normalized(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, vector: Vector3d) -> Vector3d

Transform a 3D point with the matrix

def transform_vector(self, vector: 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

def uniform_scaling_squared(self, /) -> float

Uniform scaling part of the matrix, squared

Special methods

def __add__(self, arg0: Matrix4d, /) -> Matrix4d

Add a matrix

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 __getstate__(self, /) -> bytes

Dumps the in-memory representation of matrix components

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 __setstate__(self, arg0: bytes, /) -> None

Treats the data as the in-memory representation of matrix components

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: Vector3d get set

Right-pointing 3D vector

translation: Vector3d get set

3D translation part of the matrix

up: Vector3d get set

Up-pointing 3D vector

Method documentation