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.Matrix3d class

2D double transformation matrix

• Reference

## Static methods

def translation(arg0: Vector2d, /) -> Matrix3d
2D translation matrix
def from(rotation_scaling: Matrix2x2d, translation: Vector2d) -> Matrix3d
Create a matrix from a rotation/scaling part and a translation part
def from_diagonal(arg0: Vector3d, /) -> Matrix3d
Construct a diagonal matrix
def identity_init(value: float = 1.0) -> Matrix3d
Construct an identity matrix
def projection(size: Vector2d) -> Matrix3d
2D projection matrix
def reflection(arg0: Vector2d, /) -> Matrix3d
2D reflection matrix
def rotation(arg0: Rad, /) -> Matrix3d
2D rotation matrix
def scaling(arg0: Vector2d, /) -> Matrix3d
2D scaling matrix
def shearing_x(amount: float) -> Matrix3d
2D shearing matrix along the X axis
def shearing_y(amount: float) -> Matrix3d
2D shearning matrix along the Y axis
def zero_init() -> Matrix3d
Construct a zero-filled matrix

## Methods

def cofactor(self, col: int, row: int) -> float
Cofactor
def comatrix(self, /) -> Matrix3d
Matrix of cofactors
def determinant(self, /) -> float
Determinant
def diagonal(self, /) -> Vector3d
Values on diagonal
def flipped_cols(self, /) -> Matrix3d
Matrix with flipped cols
def flipped_rows(self, /) -> Matrix3d
Matrix with flipped rows
def inverted(self, /) -> Matrix3d
Inverted matrix
self, /) -> Matrix3d
Inverted orthogonal matrix
def inverted_rigid(self, /) -> Matrix3d
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 rotation(self, /) -> Matrix2x2d
2D rotation part of the matrix
self, /) -> Matrix2x2d
2D rotation part of the matrix assuming there is no scaling
def rotation_scaling(self, /) -> Matrix2x2d
2D rotation and scaling part of the matrix
def rotation_shear(self, /) -> Matrix2x2d
2D rotation and shear part of the matrix
def scaling(self, /) -> Vector2d
Non-uniform scaling part of the matrix
def scaling_squared(self, /) -> Vector2d
Non-uniform scaling part of the matrix, squared
def trace(self, /) -> float
Trace of the matrix
def transform_point(self, arg0: Vector2d, /) -> Vector2d
Transform a 2D point with the matrix
def transform_vector(self, arg0: Vector2d, /) -> Vector2d
Transform a 2D vector with the matrix
def transposed(self, /) -> Matrix3d
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: Matrix3d, /) -> Matrix3d
def __eq__(self, arg0: Matrix3x3d, /) -> bool
Equality comparison
def __getitem__(self, arg0: int, /) -> Vector3d
Column at given position
def __getitem__(self, arg0: typing.Tuple[int, int], /) -> float
Value at given col/row
def __iadd__(self, arg0: Matrix3d, /) -> Matrix3d
def __imul__(self, arg0: float, /) -> Matrix3d
Multiply with a scalar and assign
def __init__(self, arg0: Matrix3, /) -> 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: Vector3d, arg1: Vector3d, arg2: Vector3d, /) -> None
Construct from column vectors
def __init__(self, arg0: typing.Tuple[Vector3d, Vector3d, Vector3d], /) -> None
Construct from a column vector tuple
def __init__(self, arg0: typing.Tuple[typing.Tuple[float, float, float], typing.Tuple[float, float, float], typing.Tuple[float, float, float]], /) -> None
Construct from a column tuple
def __isub__(self, arg0: Matrix3d, /) -> Matrix3d
Subtract and assign a matrix
def __itruediv__(self, arg0: float, /) -> Matrix3d
Divide with a scalar and assign
def __len__() -> int
Matrix column count. Returns 3.
def __matmul__(self, arg0: Matrix3d, /) -> Matrix3d
Multiply a matrix
def __mul__(self, arg0: float, /) -> Matrix3d
Multiply with a scalar
def __mul__(self, arg0: Vector3d, /) -> Vector3d
Multiply a vector
def __ne__(self, arg0: Matrix3x3d, /) -> bool
Non-equality comparison
def __neg__(self, /) -> Matrix3d
Negated matrix
def __repr__(self, /) -> str
Object representation
def __rmul__(self, arg0: float, /) -> Matrix3d
Multiply a scalar with a matrix
def __rtruediv__(self, arg0: float, /) -> Matrix3d
Divide a matrix with a scalar and invert
def __setitem__(self, arg0: int, arg1: Vector3d, /) -> 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: Matrix3d, /) -> Matrix3d
Subtract a matrix
def __truediv__(self, arg0: float, /) -> Matrix3d
Divide with a scalar

## Properties

Right-pointing 2D vector
translation: Vector2d get set
2D translation part of the matrix
up: Vector2d get set
Up-pointing 2D vector