


"""simple docstring"""





import math
import sys

import cva
import numpy as np


def      _snake_case						(						_snake_case				:			np.ndarray ,   _snake_case				:			float			):
      # For applying gaussian function for each element in matrix.
      lowerCAmelCase					:	str       =   math.sqrt(_snake_case			)
      lowerCAmelCase					:	Optional[Any]       =   1 / (sigma * math.sqrt(2 * math.pi			))
      return cons * np.exp(-((img / sigma) ** 2) * 0.5			)


def      _snake_case						(						_snake_case				:			np.ndarray ,   _snake_case				:			int ,   _snake_case				:			int ,   _snake_case				:			int			):
      lowerCAmelCase					:	int       =   kernel_size // 2
      return img[x - half : x + half + 1, y - half : y + half + 1]


def      _snake_case						(						_snake_case				:			int ,   _snake_case				:			float			):
      # Creates a gaussian kernel of given dimension.
      lowerCAmelCase					:	Optional[Any]       =   np.zeros((kernel_size, kernel_size)			)
      for i in range(0 ,   _snake_case			):
            for j in range(0 ,   _snake_case			):
                  lowerCAmelCase					:	Tuple       =   math.sqrt(
                      abs(i - kernel_size // 2			) ** 2 + abs(j - kernel_size // 2			) ** 2			)
      return vec_gaussian(_snake_case ,   _snake_case			)


def      _snake_case						(						_snake_case				:			np.ndarray ,   _snake_case				:			float ,   _snake_case				:			float ,   _snake_case				:			int ,   ):
      lowerCAmelCase					:	Any       =   np.zeros(img.shape			)
      lowerCAmelCase					:	List[Any]       =   get_gauss_kernel(_snake_case ,   _snake_case			)
      lowerCAmelCase					:	int       =   img.shape
      for i in range(kernel_size // 2 ,   size_x - kernel_size // 2			):
            for j in range(kernel_size // 2 ,   size_y - kernel_size // 2			):
                  lowerCAmelCase					:	Optional[Any]       =   get_slice(_snake_case ,   _snake_case ,   _snake_case ,   _snake_case			)
                  lowerCAmelCase					:	str       =   img_s - img_s[kernel_size // 2, kernel_size // 2]
                  lowerCAmelCase					:	Dict       =   vec_gaussian(_snake_case ,   _snake_case			)
                  lowerCAmelCase					:	Tuple       =   np.multiply(_snake_case ,   _snake_case			)
                  lowerCAmelCase					:	Optional[Any]       =   np.multiply(_snake_case ,   _snake_case			)
                  lowerCAmelCase					:	Any       =   np.sum(_snake_case			) / np.sum(_snake_case			)
                  lowerCAmelCase					:	List[str]       =   val
      return imga


def      _snake_case						(						_snake_case				:			list			):
      lowerCAmelCase					:	List[Any]       =   args[1] if args[1:] else '''../image_data/lena.jpg'''
      lowerCAmelCase					:	List[str]       =   float(args[2]			) if args[2:] else 1.0
      lowerCAmelCase					:	Dict       =   float(args[3]			) if args[3:] else 1.0
      if args[4:]:
            lowerCAmelCase					:	Tuple       =   int(args[4]			)
            lowerCAmelCase					:	Dict       =   kernel_size + abs(kernel_size % 2 - 1			)
      else:
            lowerCAmelCase					:	List[Any]       =   5
      return filename, spatial_variance, intensity_variance, kernel_size


if __name__ == "__main__":
 snake_case__		:     List[Any]    				=				parse_args(sys.argv)
 snake_case__		:     List[str]    				=				cva.imread(filename, 0)
 cva.imshow('''input image''', img)

 snake_case__		:     Tuple    				=				img / 255
 snake_case__		:     Optional[Any]    				=				out.astype('''float32''')
 snake_case__		:     Tuple    				=				bilateral_filter(out, spatial_variance, intensity_variance, kernel_size)
 snake_case__		:     int    				=				out * 255
 snake_case__		:     Optional[Any]    				=				np.uinta(out)
 cva.imshow('''output image''', out)
 cva.waitKey(0)
 cva.destroyAllWindows()






"""simple docstring"""





from __future__ import annotations

from PIL import Image

# Define glider example
snake_case__		:     int    				=				[
    [0, 1, 0, 0, 0, 0, 0, 0],
    [0, 0, 1, 0, 0, 0, 0, 0],
    [1, 1, 1, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
]

# Define blinker example
snake_case__		:     Any    				=				[[0, 1, 0], [0, 1, 0], [0, 1, 0]]


def      _snake_case						(						_snake_case				:			list[list[int]]			):
      lowerCAmelCase					:	Union[str, Any]       =   []
      for i in range(len(_snake_case			)			):
            lowerCAmelCase					:	Any       =   []
            for j in range(len(cells[i]			)			):
                  # Get the number of live neighbours
                  lowerCAmelCase					:	Optional[int]       =   0
                  if i > 0 and j > 0:
                        neighbour_count += cells[i - 1][j - 1]
                  if i > 0:
                        neighbour_count += cells[i - 1][j]
                  if i > 0 and j < len(cells[i]			) - 1:
                        neighbour_count += cells[i - 1][j + 1]
                  if j > 0:
                        neighbour_count += cells[i][j - 1]
                  if j < len(cells[i]			) - 1:
                        neighbour_count += cells[i][j + 1]
                  if i < len(_snake_case			) - 1 and j > 0:
                        neighbour_count += cells[i + 1][j - 1]
                  if i < len(_snake_case			) - 1:
                        neighbour_count += cells[i + 1][j]
                  if i < len(_snake_case			) - 1 and j < len(cells[i]			) - 1:
                        neighbour_count += cells[i + 1][j + 1]

                  # Rules of the game of life (excerpt from Wikipedia):
                  # 1. Any live cell with two or three live neighbours survives.
                  # 2. Any dead cell with three live neighbours becomes a live cell.
                  # 3. All other live cells die in the next generation.
                  #    Similarly, all other dead cells stay dead.
                  lowerCAmelCase					:	str       =   cells[i][j] == 1
                  if (
                      (alive and 2 <= neighbour_count <= 3)
                      or not alive
                      and neighbour_count == 3
                  ):
                        next_generation_row.append(1			)
                  else:
                        next_generation_row.append(0			)

            next_generation.append(_snake_case			)
      return next_generation


def      _snake_case						(						_snake_case				:			list[list[int]] ,   _snake_case				:			int			):
      lowerCAmelCase					:	int       =   []
      for _ in range(_snake_case			):
            # Create output image
            lowerCAmelCase					:	Union[str, Any]       =   Image.new('''RGB''' ,   (len(cells[0]			), len(_snake_case			))			)
            lowerCAmelCase					:	Union[str, Any]       =   img.load()

            # Save cells to image
            for x in range(len(_snake_case			)			):
                  for y in range(len(cells[0]			)			):
                        lowerCAmelCase					:	Optional[int]       =   255 - cells[y][x] * 255
                        lowerCAmelCase					:	List[Any]       =   (colour, colour, colour)

        # Save image
            images.append(_snake_case			)
            lowerCAmelCase					:	Union[str, Any]       =   new_generation(_snake_case			)
      return images


if __name__ == "__main__":
 snake_case__		:     Union[str, Any]    				=				generate_images(GLIDER, 16)
 images[0].save('''out.gif''', save_all=True, append_images=images[1:])


