# Imports
import numpy as np

class 					_lowercase    :






    '''simple docstring'''




    def __init__(    self       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None ):
       self.set_matricies(red=lowerCAmelCase__       ,						green=lowerCAmelCase__       ,						blue=lowerCAmelCase__       ,						red_edge=lowerCAmelCase__       ,						nir=lowerCAmelCase__ )




    def      _a    (    self       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None ):
       if red is not None:
          lowerCAmelCase_:							List[str]       =	red
       if green is not None:
          lowerCAmelCase_:							Optional[Any]       =	green
       if blue is not None:
          lowerCAmelCase_:							str       =	blue
       if red_edge is not None:
          lowerCAmelCase_:							Tuple       =	red_edge
       if nir is not None:
          lowerCAmelCase_:							List[str]       =	nir
       return True




    def      _a    (    self       ,						lowerCamelCase__=""       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None ):
       self.set_matricies(red=lowerCAmelCase__       ,						green=lowerCAmelCase__       ,						blue=lowerCAmelCase__       ,						red_edge=lowerCAmelCase__       ,						nir=lowerCAmelCase__ )
       lowerCAmelCase_:							Optional[Any]       =	{
           "ARVI2": self.arvaa,
           "CCCI": self.ccci,
           "CVI": self.cvi,
           "GLI": self.gli,
           "NDVI": self.ndvi,
           "BNDVI": self.bndvi,
           "redEdgeNDVI": self.red_edge_ndvi,
           "GNDVI": self.gndvi,
           "GBNDVI": self.gbndvi,
           "GRNDVI": self.grndvi,
           "RBNDVI": self.rbndvi,
           "PNDVI": self.pndvi,
           "ATSAVI": self.atsavi,
           "BWDRVI": self.bwdrvi,
           "CIgreen": self.ci_green,
           "CIrededge": self.ci_rededge,
           "CI": self.ci,
           "CTVI": self.ctvi,
           "GDVI": self.gdvi,
           "EVI": self.evi,
           "GEMI": self.gemi,
           "GOSAVI": self.gosavi,
           "GSAVI": self.gsavi,
           "Hue": self.hue,
           "IVI": self.ivi,
           "IPVI": self.ipvi,
           "I": self.i,
           "RVI": self.rvi,
           "MRVI": self.mrvi,
           "MSAVI": self.m_savi,
           "NormG": self.norm_g,
           "NormNIR": self.norm_nir,
           "NormR": self.norm_r,
           "NGRDI": self.ngrdi,
           "RI": self.ri,
           "S": self.s,
           "IF": self._if,
           "DVI": self.dvi,
           "TVI": self.tvi,
           "NDRE": self.ndre,
       }

       try:
          return funcs[index]()
       except KeyError:
          print("Index not in the list!" )
          return False




    def      _a    (    self ):
       return -0.1_8 + (1.1_7 * ((self.nir - self.red) / (self.nir + self.red)))




    def      _a    (    self ):
       return ((self.nir - self.redEdge) / (self.nir + self.redEdge)) / (
           (self.nir - self.red) / (self.nir + self.red)
       )




    def      _a    (    self ):
       return self.nir * (self.red / (self.green**2))




    def      _a    (    self ):
       return (2 * self.green - self.red - self.blue) / (
           2 * self.green + self.red + self.blue
       )




    def      _a    (    self ):
       return (self.nir - self.red) / (self.nir + self.red)




    def      _a    (    self ):
       return (self.nir - self.blue) / (self.nir + self.blue)




    def      _a    (    self ):
       return (self.redEdge - self.red) / (self.redEdge + self.red)




    def      _a    (    self ):
       return (self.nir - self.green) / (self.nir + self.green)




    def      _a    (    self ):
       return (self.nir - (self.green + self.blue)) / (
           self.nir + (self.green + self.blue)
       )




    def      _a    (    self ):
       return (self.nir - (self.green + self.red)) / (
           self.nir + (self.green + self.red)
       )




    def      _a    (    self ):
       return (self.nir - (self.blue + self.red)) / (self.nir + (self.blue + self.red))




    def      _a    (    self ):
       return (self.nir - (self.green + self.red + self.blue)) / (
           self.nir + (self.green + self.red + self.blue)
       )




    def      _a    (    self       ,						lowerCamelCase__=0.0_8       ,						lowerCamelCase__=1.2_2       ,						lowerCamelCase__=0.0_3 ):
       return a * (
           (self.nir - a * self.red - b)
           / (a * self.nir + self.red - a * b + x * (1 + a**2))
       )




    def      _a    (    self ):
       return (0.1 * self.nir - self.blue) / (0.1 * self.nir + self.blue)




    def      _a    (    self ):
       return (self.nir / self.green) - 1




    def      _a    (    self ):
       return (self.nir / self.redEdge) - 1




    def      _a    (    self ):
       return (self.red - self.blue) / self.red




    def      _a    (    self ):
       lowerCAmelCase_:							Optional[int]       =	self.ndvi()
       return ((ndvi + 0.5) / (abs(ndvi + 0.5 ))) * (abs(ndvi + 0.5 ) ** (1 / 2))




    def      _a    (    self ):
       return self.nir - self.green




    def      _a    (    self ):
       return 2.5 * (
           (self.nir - self.red) / (self.nir + 6 * self.red - 7.5 * self.blue + 1)
       )




    def      _a    (    self ):
       lowerCAmelCase_:							Dict       =	(2 * (self.nir**2 - self.red**2) + 1.5 * self.nir + 0.5 * self.red) / (
           self.nir + self.red + 0.5
       )
       return n * (1 - 0.2_5 * n) - (self.red - 0.1_2_5) / (1 - self.red)




    def      _a    (    self       ,						lowerCamelCase__=0.1_6 ):
       return (self.nir - self.green) / (self.nir + self.green + y)




    def      _a    (    self       ,						lowerCamelCase__=0.5 ):
       return ((self.nir - self.green) / (self.nir + self.green + n)) * (1 + n)




    def      _a    (    self ):
       return np.arctan(
           ((2 * self.red - self.green - self.blue) / 3_0.5) * (self.green - self.blue) )




    def      _a    (    self       ,						lowerCamelCase__=None       ,						lowerCamelCase__=None ):
       return (self.nir - b) / (a * self.red)




    def      _a    (    self ):
       return (self.nir / ((self.nir + self.red) / 2)) * (self.ndvi() + 1)




    def      _a    (    self ):
       return (self.red + self.green + self.blue) / 3_0.5




    def      _a    (    self ):
       return self.nir / self.red




    def      _a    (    self ):
       return (self.rvi() - 1) / (self.rvi() + 1)




    def      _a    (    self ):
       return (
           (2 * self.nir + 1)
           - ((2 * self.nir + 1) ** 2 - 8 * (self.nir - self.red)) ** (1 / 2)
       ) / 2




    def      _a    (    self ):
       return self.green / (self.nir + self.red + self.green)




    def      _a    (    self ):
       return self.nir / (self.nir + self.red + self.green)




    def      _a    (    self ):
       return self.red / (self.nir + self.red + self.green)




    def      _a    (    self ):
       return (self.green - self.red) / (self.green + self.red)




    def      _a    (    self ):
       return (self.red - self.green) / (self.red + self.green)




    def      _a    (    self ):
       lowerCAmelCase_:							Tuple       =	np.max([np.max(self.red ), np.max(self.green ), np.max(self.blue )] )
       lowerCAmelCase_:							List[str]       =	np.min([np.min(self.red ), np.min(self.green ), np.min(self.blue )] )
       return (max_value - min_value) / max_value




    def      _a    (    self ):
       return (2 * self.red - self.green - self.blue) / (self.green - self.blue)




    def      _a    (    self ):
       return self.nir / self.red




    def      _a    (    self ):
       return (self.ndvi() + 0.5) ** (1 / 2)




    def      _a    (    self ):
       return (self.nir - self.redEdge) / (self.nir + self.redEdge)

def  __snake_case							(	__magic_name__		,    __magic_name__ = False						):







				'''simple docstring'''


				if n == 2:
								return True
				if not n % 2 or n < 2:
								return False
				if n > 5 and n % 10 not in (1, 3, 7, 9):  # can quickly check last digit
								return False
				if n > 3317044064679887385961981 and not allow_probable:
								raise ValueError(
								    "Warning: upper bound of deterministic test is exceeded. "
								    "Pass allow_probable=True to allow probabilistic test. "
								    "A return value of True indicates a probable prime."						)
				# array bounds provided by analysis
				lowercase         =      [
				    2047,
				    1373653,
				    25326001,
				    3215031751,
				    2152302898747,
				    3474749660383,
				    341550071728321,
				    1,
				    3825123056546413051,
				    1,
				    1,
				    318665857834031151167461,
				    3317044064679887385961981,
				]

				lowercase         =      [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41]
				for idx, _p in enumerate(__magic_name__		,    1						):
								if n < _p:
												# then we have our last prime to check
												lowercase         =      primes[:idx]
												break
				lowercase     ,	lowercase         =      n - 1, 0
				# break up n -1 into a power of 2 (s) and
				# remaining odd component
				# essentially, solve for d * 2 ** s == n - 1
				while d % 2 == 0:
								d //= 2
								s += 1
				for prime in plist:
								lowercase         =      False
								for r in range(__magic_name__						):
												lowercase         =      pow(__magic_name__		,    d * 2**r		,    __magic_name__						)
												# see article for analysis explanation for m
												if (r == 0 and m == 1) or ((m + 1) % n == 0):
																lowercase         =      True
																# this loop will not determine compositeness
																break
								if pr:
												continue
								# if pr is False, then the above loop never evaluated to true,
								# and the n MUST be composite
								return False
				return True

def  __snake_case							(	):







				'''simple docstring'''


				assert not miller_rabin(561						)
				assert miller_rabin(563						)
				# 2047

				assert not miller_rabin(838201						)
				assert miller_rabin(838207						)
				# 1_373_653

				assert not miller_rabin(17316001						)
				assert miller_rabin(17316017						)
				# 25_326_001

				assert not miller_rabin(3078386641						)
				assert miller_rabin(3078386653						)
				# 3_215_031_751

				assert not miller_rabin(1713045574801						)
				assert miller_rabin(1713045574819						)
				# 2_152_302_898_747

				assert not miller_rabin(2779799728307						)
				assert miller_rabin(2779799728327						)
				# 3_474_749_660_383

				assert not miller_rabin(113850023909441						)
				assert miller_rabin(113850023909527						)
				# 341_550_071_728_321

				assert not miller_rabin(1275041018848804351						)
				assert miller_rabin(1275041018848804391						)
				# 3_825_123_056_546_413_051

				assert not miller_rabin(79666464458507787791867						)
				assert miller_rabin(79666464458507787791951						)
				# 318_665_857_834_031_151_167_461

				assert not miller_rabin(552840677446647897660333						)
				assert miller_rabin(552840677446647897660359						)
				# 3_317_044_064_679_887_385_961_981
				# upper limit for probabilistic test


if __name__ == "__main__":
						test_miller_rabin()
