



"""simple docstring"""
import numpy as np
from cva import COLOR_BGR2GRAY, CV_8UC3, cvtColor, filteraD, imread, imshow, waitKey

def       _snake_case						(						UpperCamelCase						:		int			,		UpperCamelCase						:		int			,		UpperCamelCase						:		int			,		UpperCamelCase						:		int			,		UpperCamelCase						:		int			,		UpperCamelCase						:		int						):

 # prepare kernel
 # the kernel size have to be odd
 if (ksize % 2) == 0:
  UpperCAmelCase	:					int	=	ksize + 1
 UpperCAmelCase	:					Any	=	np.zeros((ksize, ksize)			,		dtype=np.floataa						)

 # each value
 for y in range(UpperCamelCase						):
  for x in range(UpperCamelCase						):
   # distance from center
   UpperCAmelCase	:					int	=	x - ksize // 2
   UpperCAmelCase	:					Optional[int]	=	y - ksize // 2

   # degree to radiant
   UpperCAmelCase	:					List[str]	=	theta / 180 * np.pi
   UpperCAmelCase	:					str	=	np.cos(_theta						)
   UpperCAmelCase	:					Optional[Any]	=	np.sin(_theta						)

   # get kernel x
   UpperCAmelCase	:					List[Any]	=	cos_theta * px + sin_theta * py

   # get kernel y
   UpperCAmelCase	:					Any	=	-sin_theta * px + cos_theta * py

   # fill kernel
   UpperCAmelCase	:					Any	=	np.exp(
       -(_x**2 + gamma**2 * _y**2) / (2 * sigma**2)						) * np.cos(2 * np.pi * _x / lambd + psi						)

 return gabor


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      # read original image
      A:   Any								=		imread("../image_data/lena.jpg")
      # turn image in gray scale value
      A:   Optional[int]								=		cvtColor(img, COLOR_BGR2GRAY)

      # Apply multiple Kernel to detect edges
      A:   List[str]								=		np.zeros(gray.shape[:2])
      for theta in [0, 3_0, 6_0, 9_0, 1_2_0, 1_5_0]:
            A:   List[str]								=		gabor_filter_kernel(1_0, 8, theta, 1_0, 0, 0)
            out += filteraD(gray, CV_8UC3, kernel_aa)
      A:   str								=		out / out.max() * 2_5_5
      A:   List[Any]								=		out.astype(np.uinta)

      imshow("Original", gray)
      imshow("Gabor filter with 20x20 mask and 6 directions", out)

      waitKey(0)








"""simple docstring"""




def 			lowerCAmelCase__     (     UpperCamelCase__     ,   UpperCamelCase__     ,   UpperCamelCase__     ,   UpperCamelCase__     ,   UpperCamelCase__     ,   ):



  '''simple docstring'''
  _a  :       Optional[Any]             =	[redshift, radiation_density, matter_density, dark_energy]
  if any(p < 0 for p in parameters				):
    raise ValueError("""All input parameters must be positive"""				)

  if any(p > 1 for p in parameters[1:4]				):
    raise ValueError("""Relative densities cannot be greater than one"""				)
  else:
    _a  :       Tuple             =	1 - (matter_density + radiation_density + dark_energy)

    _a  :       int             =	(
        radiation_density * (redshift + 1) ** 4
        + matter_density * (redshift + 1) ** 3
        + curvature * (redshift + 1) ** 2
        + dark_energy
    )

    _a  :       List[str]             =	hubble_constant * e_a ** (1 / 2)
    return hubble


if __name__ == "__main__":
 import doctest

 # run doctest
 doctest.testmod()

 # demo LCDM approximation
 _snake_case          =   0.3

 print(
     hubble_parameter(
         hubble_constant=68.3,
         radiation_density=1e-4,
         matter_density=matter_density,
         dark_energy=1 - matter_density,
         redshift=0,
     )
 )

