#
linalg
Provide mat3x3
, vec2
, vec3
and vec4
types.
This classes adopt torch
's naming convention. Methods with _
suffix will modify the instance itself.
#
Source code
from typing import overload
class _vecF[T]:
ONE: T
ZERO: T
def __add__(self, other: T) -> T: ...
def __sub__(self, other: T) -> T: ...
@overload
def __mul__(self, other: float) -> T: ...
@overload
def __mul__(self, other: T) -> T: ...
def __truediv__(self, other: float) -> T: ...
def dot(self, other: T) -> float: ...
def length(self) -> float: ...
def length_squared(self) -> float: ...
def normalize(self) -> T: ...
class _vecI[T]:
ONE: T
ZERO: T
def __add__(self, other: T) -> T: ...
def __sub__(self, other: T) -> T: ...
@overload
def __mul__(self, other: int) -> T: ...
@overload
def __mul__(self, other: T) -> T: ...
def dot(self, other: T) -> int: ...
class vec2(_vecF['vec2']):
@property
def x(self) -> float: ...
@property
def y(self) -> float: ...
def with_x(self, x: float) -> vec2: ...
def with_y(self, y: float) -> vec2: ...
def with_z(self, z: float) -> vec3: ...
def __init__(self, x: float, y: float) -> None: ...
def rotate(self, radians: float) -> vec2: ...
@staticmethod
def angle(__from: vec2, __to: vec2) -> float:
"""Returns the angle in radians between vectors `from` and `to`.
The result range is `[-pi, pi]`.
+ if y axis is top to bottom, positive value means clockwise
+ if y axis is bottom to top, positive value means counter-clockwise
"""
@staticmethod
def smooth_damp(current: vec2, target: vec2, current_velocity: vec2, smooth_time: float, max_speed: float, delta_time: float) -> tuple[vec2, vec2]:
"""Smoothly changes a vector towards a desired goal over time.
Returns a new value that is closer to the target and current velocity.
"""
class mat3x3:
def __init__(self, _11, _12, _13, _21, _22, _23, _31, _32, _33) -> None: ...
def __getitem__(self, index: tuple[int, int]) -> float: ...
def __setitem__(self, index: tuple[int, int], value: float) -> None: ...
@overload
def __matmul__(self, other: mat3x3) -> mat3x3: ...
@overload
def __matmul__(self, other: vec3) -> vec3: ...
def __invert__(self) -> mat3x3: ...
def matmul(self, other: mat3x3, out: mat3x3) -> mat3x3 | None: ...
def determinant(self) -> float: ...
def copy(self) -> mat3x3: ...
def inverse(self) -> mat3x3: ...
def copy_(self, other: mat3x3) -> None: ...
def inverse_(self) -> None: ...
@staticmethod
def zeros() -> mat3x3: ...
@staticmethod
def identity() -> mat3x3: ...
# affine transformations
@staticmethod
def trs(t: vec2, r: float, s: vec2) -> mat3x3: ...
def copy_trs_(self, t: vec2, r: float, s: vec2) -> None: ...
def t(self) -> vec2: ...
def r(self) -> float: ...
def s(self) -> vec2: ...
def transform_point(self, p: vec2) -> vec2: ...
def transform_vector(self, v: vec2) -> vec2: ...
class vec2i(_vecI['vec2i']):
@property
def x(self) -> int: ...
@property
def y(self) -> int: ...
def with_x(self, x: int) -> vec2i: ...
def with_y(self, y: int) -> vec2i: ...
def __init__(self, x: int, y: int) -> None: ...
class vec3i(_vecI['vec3i']):
@property
def x(self) -> int: ...
@property
def y(self) -> int: ...
@property
def z(self) -> int: ...
def with_x(self, x: int) -> vec3i: ...
def with_y(self, y: int) -> vec3i: ...
def with_z(self, z: int) -> vec3i: ...
def __init__(self, x: int, y: int, z: int) -> None: ...
class vec3(_vecF['vec3']):
@property
def x(self) -> float: ...
@property
def y(self) -> float: ...
@property
def z(self) -> float: ...
@property
def xy(self) -> vec2: ...
def with_x(self, x: float) -> vec3: ...
def with_y(self, y: float) -> vec3: ...
def with_z(self, z: float) -> vec3: ...
def with_xy(self, xy: vec2) -> vec3: ...
def __init__(self, x: float, y: float, z: float) -> None: ...