





"""simple docstring"""


import math
from collections.abc import Generator




def     lowercase__			(    lowercase_	)    ->						Generator[int, None, None]:




      """simple docstring"""

      _UpperCamelCase					:		Generator  =				(i for i in range(1						,(max_n + 1)	))
      for i in (n for n in numbers if n > 1):
            for j in range(2						,__A	):
                  if (i % j) == 0:
                        break
            else:
                  yield i




def     lowercase__			(    lowercase_	)    ->						Generator[int, None, None]:




      """simple docstring"""

      _UpperCamelCase					:		Generator  =				(i for i in range(1						,(max_n + 1)	))
      for i in (n for n in numbers if n > 1):
            # only need to check for factors up to sqrt(i)
            _UpperCamelCase					:		Dict  =				int(math.sqrt(__A	)	) + 1
            for j in range(2						,__A	):
                  if (i % j) == 0:
                        break
            else:
                  yield i




def     lowercase__			(    lowercase_	)    ->						Generator[int, None, None]:




      """simple docstring"""

      _UpperCamelCase					:		Generator  =				(i for i in range(1						,(max_n + 1)						,2	))
      # It's useless to test even numbers as they will not be prime
      if max_n > 2:
            yield 2  # Because 2 will not be tested, it's necessary to yield it now
      for i in (n for n in numbers if n > 1):
            _UpperCamelCase					:		Dict  =				int(math.sqrt(__A	)	) + 1
            for j in range(3						,__A						,2	):
                  # As we removed the even numbers, we don't need them now
                  if (i % j) == 0:
                        break
            else:
                  yield i




def     lowercase__			(    )    ->						Any:




      """simple docstring"""

      from timeit import timeit

      _UpperCamelCase					:		Optional[Any]  =				"""from __main__ import slow_primes, primes, fast_primes"""
      print(timeit("slow_primes(1_000_000_000_000)"						,setup=__A						,number=1_000_000	)	)
      print(timeit("primes(1_000_000_000_000)"						,setup=__A						,number=1_000_000	)	)
      print(timeit("fast_primes(1_000_000_000_000)"						,setup=__A						,number=1_000_000	)	)


if __name__ == "__main__":
  lowerCamelCase__      =      int(input("Calculate primes up to:\n>> ").strip())
  for ret in primes(number):
    print(ret)
  benchmark()



import math
import os

import cva
import numpy as np

__UpperCAmelCase      = 255.0





def 	snake_case_      (__A     :						float					,   __A     :						float     )			->	float:
   __lowerCAmelCase  :			Any					    =						np.mean((original - contrast) ** 2     )
   if mse == 0:
      return 1_0_0

   return 2_0 * math.logaa(PIXEL_MAX / math.sqrt(__A     )     )





def 	snake_case_      ()			->	None:
   __lowerCAmelCase  :			int					    =						os.path.dirname(os.path.realpath(__A     )     )
   # Loading images (original image and compressed image)
   __lowerCAmelCase  :			Tuple					    =						cva.imread(os.path.join(__A					,   """image_data/original_image.png"""     )     )
   __lowerCAmelCase  :			Dict					    =						cva.imread(os.path.join(__A					,   """image_data/compressed_image.png"""     )					,   1     )

   __lowerCAmelCase  :			Optional[int]					    =						cva.imread(os.path.join(__A					,   """image_data/PSNR-example-base.png"""     )     )
   __lowerCAmelCase  :			Optional[int]					    =						cva.imread(
       os.path.join(__A					,   """image_data/PSNR-example-comp-10.jpg"""     )					,   1     )

   # Value expected: 29.73dB
   print("""-- First Test --"""     )
   print(f'''PSNR value is {peak_signal_to_noise_ratio(__A					,   __A     )} dB'''     )

   # # Value expected: 31.53dB (Wikipedia Example)
   print("""\n-- Second Test --"""     )
   print(f'''PSNR value is {peak_signal_to_noise_ratio(__A					,   __A     )} dB'''     )


if __name__ == "__main__":
   main()


