
'''simple docstring'''





from dataclasses import dataclass
from typing import List, Optional, Union

import numpy as np
import PIL
from PIL import Image

from ...utils import is_torch_available, is_transformers_available


if is_transformers_available() and is_torch_available():
      from .image_encoder import PaintByExampleImageEncoder
      from .pipeline_paint_by_example import PaintByExamplePipeline





'''simple docstring'''





from math import cos, sin







def snake_case_    (				lowercase__		):
  UpperCAmelCase__			:				List[Any]												=       float(lowercase__		)
  return [[scaling_factor * int(x == y		) for x in range(2		)] for y in range(2		)]







def snake_case_    (				lowercase__		):
  UpperCAmelCase__					, UpperCAmelCase__			:				List[Any]												=       cos(lowercase__		), sin(lowercase__		)
  return [[c, -s], [s, c]]







def snake_case_    (				lowercase__		):
  UpperCAmelCase__					, UpperCAmelCase__			:				Dict												=       cos(lowercase__		), sin(lowercase__		)
  UpperCAmelCase__			:				Tuple												=       c * s
  return [[c * c, cs], [cs, s * s]]







def snake_case_    (				lowercase__		):
  UpperCAmelCase__					, UpperCAmelCase__			:				Dict												=       cos(lowercase__		), sin(lowercase__		)
  UpperCAmelCase__			:				Any												=       c * s
  return [[2 * c - 1, 2 * cs], [2 * cs, 2 * s - 1]]


print(F'    {scaling(5) = }')
print(F'  {rotation(4_5) = }')
print(F'{projection(4_5) = }')






print(F'{reflection(4_5) = }')



