



from abc import ABC, abstractmethod
from typing import List, Optional



class       UpperCAmelCase__(							lowerCamelCase	):

			'''simple docstring'''




			def __init__(						self  :			Optional[Any])	->				Optional[Any]:




									"""simple docstring"""

									self.test()


			def 			UpperCAmelCase		(						self  :			Union[str, Any])	->				Any:




									"""simple docstring"""

									lowercase__     =  0
									lowercase__     =  False
									while not completed:
															if counter == 1:
																					self.reset()
															lowercase__     =  self.advance()
															if not self.does_advance(lowerCAmelCase):
																					raise Exception(
																					    'Custom Constraint is not defined correctly. self.does_advance(self.advance()) must be true.')

															lowercase__,	lowercase__,	lowercase__     =  self.update(lowerCAmelCase)
															counter += 1

															if counter > 1_00_00:
																					raise Exception('update() does not fulfill the constraint.')

									if self.remaining() != 0:
															raise Exception('Custom Constraint is not defined correctly.')


			@abstractmethod
			def 			UpperCAmelCase		(						self  :			Union[str, Any])	->				str:




									"""simple docstring"""

									raise NotImplementedError(
									    f'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.''')


			@abstractmethod
			def 			UpperCAmelCase		(						self  :			Any			,				lowerCAmelCase  :			int)	->				List[str]:




									"""simple docstring"""

									raise NotImplementedError(
									    f'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.''')


			@abstractmethod
			def 			UpperCAmelCase		(						self  :			int			,				lowerCAmelCase  :			int)	->				Optional[int]:




									"""simple docstring"""

									raise NotImplementedError(
									    f'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.''')


			@abstractmethod
			def 			UpperCAmelCase		(						self  :			str)	->				List[Any]:




									"""simple docstring"""

									raise NotImplementedError(
									    f'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.''')


			@abstractmethod
			def 			UpperCAmelCase		(						self  :			str)	->				Any:




									"""simple docstring"""

									raise NotImplementedError(
									    f'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.''')



			@abstractmethod
			def 			UpperCAmelCase		(						self  :			Optional[Any]			,				lowerCAmelCase  :			Optional[Any]=False)	->				int:




									"""simple docstring"""

									raise NotImplementedError(
									    f'''{self.__class__} is an abstract class. Only classes inheriting this class can be called.''')



class       UpperCAmelCase__(							lowerCamelCase	):

			'''simple docstring'''




			def __init__(						self  :			Dict			,				lowerCAmelCase  :			List[int])	->				Union[str, Any]:




									"""simple docstring"""

									super(lowerCAmelCase			,				self).__init__()

									if not isinstance(lowerCAmelCase			,				lowerCAmelCase) or len(lowerCAmelCase) == 0:
															raise ValueError(f'''`token_ids` has to be a non-empty list, but is {token_ids}.''')
									if any((not isinstance(lowerCAmelCase			,				lowerCAmelCase) or token_id < 0) for token_id in token_ids):
															raise ValueError(f'''Each list in `token_ids` has to be a list of positive integers, but is {token_ids}.''')

									lowercase__     =  token_ids

									lowercase__     =  len(self.token_ids)
									lowercase__     =  -1  # the index of the currently fulfilled step
									lowercase__     =  False


			def 			UpperCAmelCase		(						self  :			Tuple)	->				Any:




									"""simple docstring"""

									if self.completed:
															return None
									return self.token_ids[self.fulfilled_idx + 1]


			def 			UpperCAmelCase		(						self  :			Union[str, Any]			,				lowerCAmelCase  :			int)	->				int:




									"""simple docstring"""

									if not isinstance(lowerCAmelCase			,				lowerCAmelCase):
															raise ValueError(f'''`token_id` has to be an `int`, but is {token_id} of type {type(lowerCAmelCase)}''')

									if self.completed:
															return False

									return token_id == self.token_ids[self.fulfilled_idx + 1]


			def 			UpperCAmelCase		(						self  :			Any			,				lowerCAmelCase  :			int)	->				Optional[int]:




									"""simple docstring"""

									if not isinstance(lowerCAmelCase			,				lowerCAmelCase):
															raise ValueError(f'''`token_id` has to be an `int`, but is {token_id} of type {type(lowerCAmelCase)}''')

									lowercase__     =  False
									lowercase__     =  False
									lowercase__     =  False

									if self.does_advance(lowerCAmelCase):
															self.fulfilled_idx += 1
															lowercase__     =  True
															if self.fulfilled_idx == (self.seqlen - 1):
																					lowercase__     =  True
															lowercase__     =  completed
									else:
															# failed to make progress.
															lowercase__     =  True
															self.reset()
									return stepped, completed, reset


			def 			UpperCAmelCase		(						self  :			Optional[Any])	->				List[str]:




									"""simple docstring"""

									lowercase__     =  False
									lowercase__     =  0


			def 			UpperCAmelCase		(						self  :			Any)	->				str:




									"""simple docstring"""

									return self.seqlen - (self.fulfilled_idx + 1)



			def 			UpperCAmelCase		(						self  :			List[Any]			,				lowerCAmelCase  :			List[str]=False)	->				Any:




									"""simple docstring"""

									lowercase__     =  PhrasalConstraint(self.token_ids)

									if stateful:
															lowercase__     =  self.seqlen
															lowercase__     =  self.fulfilled_idx
															lowercase__     =  self.completed

									return new_constraint



class       UpperCAmelCase__:

			'''simple docstring'''




			def __init__(						self  :			Union[str, Any]			,				lowerCAmelCase  :			List[List[int]]			,				lowerCAmelCase  :			Any=True)	->				Tuple:




									"""simple docstring"""

									lowercase__     =  max([len(lowerCAmelCase) for one in nested_token_ids])

									lowercase__     =  {}
									for token_ids in nested_token_ids:
															lowercase__     =  root
															for tidx, token_id in enumerate(lowerCAmelCase):
																					if token_id not in level:
																											lowercase__     =  {}

																					lowercase__     =  level[token_id]

									if no_subsets and self.has_subsets(lowerCAmelCase			,				lowerCAmelCase):
															raise ValueError(
															    'Each list in `nested_token_ids` can\'t be a complete subset of another list, but is'
															    f''' {nested_token_ids}.''')

									lowercase__     =  root


			def 			UpperCAmelCase		(						self  :			Optional[Any]			,				lowerCAmelCase  :			int)	->				List[str]:




									"""simple docstring"""

									lowercase__     =  self.trie

									for current_token in current_seq:
															lowercase__     =  start[current_token]

									lowercase__     =  list(start.keys())

									return next_tokens


			def 			UpperCAmelCase		(						self  :			Tuple			,				lowerCAmelCase  :			int)	->				int:




									"""simple docstring"""

									lowercase__     =  self.next_tokens(lowerCAmelCase)

									return len(lowerCAmelCase) == 0


			def 			UpperCAmelCase		(						self  :			List[Any]			,				lowerCAmelCase  :			Dict)	->				Any:




									"""simple docstring"""

									lowercase__     =  list(root.values())
									if len(lowerCAmelCase) == 0:
															return 1
									else:
															return sum([self.count_leaves(lowerCAmelCase) for nn in next_nodes])



			def 			UpperCAmelCase		(						self  :			List[Any]			,				lowerCAmelCase  :			str			,				lowerCAmelCase  :			List[str])	->				Dict:




									"""simple docstring"""

									lowercase__     =  self.count_leaves(lowerCAmelCase)
									return len(lowerCAmelCase) != leaf_count



class       UpperCAmelCase__(							lowerCamelCase	):

			'''simple docstring'''




			def __init__(						self  :			Optional[int]			,				lowerCAmelCase  :			List[List[int]])	->				int:




									"""simple docstring"""

									super(lowerCAmelCase			,				self).__init__()

									if not isinstance(lowerCAmelCase			,				lowerCAmelCase) or len(lowerCAmelCase) == 0:
															raise ValueError(f'''`nested_token_ids` has to be a non-empty list, but is {nested_token_ids}.''')
									if any(not isinstance(lowerCAmelCase			,				lowerCAmelCase) for token_ids in nested_token_ids):
															raise ValueError(f'''`nested_token_ids` has to be a list of lists, but is {nested_token_ids}.''')
									if any(
									    any((not isinstance(lowerCAmelCase			,				lowerCAmelCase) or token_id < 0) for token_id in token_ids)
									    for token_ids in nested_token_ids):
															raise ValueError(
															    f'''Each list in `nested_token_ids` has to be a list of positive integers, but is {nested_token_ids}.''')

									lowercase__     =  DisjunctiveTrie(lowerCAmelCase)
									lowercase__     =  nested_token_ids

									lowercase__     =  self.trie.max_height
									lowercase__     =  []
									lowercase__     =  False


			def 			UpperCAmelCase		(						self  :			Optional[Any])	->				Optional[Any]:




									"""simple docstring"""

									lowercase__     =  self.trie.next_tokens(self.current_seq)

									if len(lowerCAmelCase) == 0:
															return None
									else:
															return token_list


			def 			UpperCAmelCase		(						self  :			Optional[int]			,				lowerCAmelCase  :			int)	->				List[Any]:




									"""simple docstring"""

									if not isinstance(lowerCAmelCase			,				lowerCAmelCase):
															raise ValueError(f'''`token_id` is supposed to be type `int`, but is {token_id} of type {type(lowerCAmelCase)}''')

									lowercase__     =  self.trie.next_tokens(self.current_seq)

									return token_id in next_tokens


			def 			UpperCAmelCase		(						self  :			List[str]			,				lowerCAmelCase  :			int)	->				int:




									"""simple docstring"""

									if not isinstance(lowerCAmelCase			,				lowerCAmelCase):
															raise ValueError(f'''`token_id` is supposed to be type `int`, but is {token_id} of type {type(lowerCAmelCase)}''')

									lowercase__     =  False
									lowercase__     =  False
									lowercase__     =  False

									if self.does_advance(lowerCAmelCase):
															self.current_seq.append(lowerCAmelCase)
															lowercase__     =  True
									else:
															lowercase__     =  True
															self.reset()

									lowercase__     =  self.trie.reached_leaf(self.current_seq)
									lowercase__     =  completed

									return stepped, completed, reset


			def 			UpperCAmelCase		(						self  :			str)	->				Optional[Any]:




									"""simple docstring"""

									lowercase__     =  False
									lowercase__     =  []


			def 			UpperCAmelCase		(						self  :			int)	->				Dict:




									"""simple docstring"""

									if self.completed:
															# since this can be completed without reaching max height
															return 0
									else:
															return self.seqlen - len(self.current_seq)



			def 			UpperCAmelCase		(						self  :			List[str]			,				lowerCAmelCase  :			Union[str, Any]=False)	->				str:




									"""simple docstring"""

									lowercase__     =  DisjunctiveConstraint(self.token_ids)

									if stateful:
															lowercase__     =  self.seqlen
															lowercase__     =  self.current_seq
															lowercase__     =  self.completed

									return new_constraint



class       UpperCAmelCase__:

			'''simple docstring'''




			def __init__(						self  :			int			,				lowerCAmelCase  :			List[Constraint])	->				Tuple:




									"""simple docstring"""

									lowercase__     =  constraints

									# max # of steps required to fulfill a given constraint
									lowercase__     =  max([c.seqlen for c in constraints])
									lowercase__     =  len(lowerCAmelCase)
									lowercase__     =  False

									self.init_state()


			def 			UpperCAmelCase		(						self  :			str)	->				Tuple:




									"""simple docstring"""

									lowercase__     =  []
									lowercase__     =  None
									lowercase__     =  [constraint.copy(stateful=lowerCAmelCase) for constraint in self.constraints]


			def 			UpperCAmelCase		(						self  :			Any)	->				Optional[Any]:




									"""simple docstring"""

									lowercase__     =  0
									if self.inprogress_constraint:
															# extra points for having a constraint mid-fulfilled
															add += self.max_seqlen - self.inprogress_constraint.remaining()

									return (len(self.complete_constraints) * self.max_seqlen) + add


			def 			UpperCAmelCase		(						self  :			int)	->				str:




									"""simple docstring"""

									lowercase__     =  []
									if self.inprogress_constraint is None:
															for constraint in self.pending_constraints:  # "pending" == "unfulfilled yet"
																					lowercase__     =  constraint.advance()
																					if isinstance(lowerCAmelCase			,				lowerCAmelCase):
																											token_list.append(lowerCAmelCase)
																					elif isinstance(lowerCAmelCase			,				lowerCAmelCase):
																											token_list.extend(lowerCAmelCase)
									else:
															lowercase__     =  self.inprogress_constraint.advance()
															if isinstance(lowerCAmelCase			,				lowerCAmelCase):
																					token_list.append(lowerCAmelCase)
															elif isinstance(lowerCAmelCase			,				lowerCAmelCase):
																					token_list.extend(lowerCAmelCase)

									if len(lowerCAmelCase) == 0:
															return None
									else:
															return token_list


			def 			UpperCAmelCase		(						self  :			Optional[Any]			,				lowerCAmelCase  :			Optional[List[int]])	->				int:




									"""simple docstring"""

									self.init_state()

									if token_ids is not None:
															for token in token_ids:
																					# completes or steps **one** constraint
																					lowercase__,	lowercase__     =  self.add(lowerCAmelCase)

																					# the entire list of constraints are fulfilled
																					if self.completed:
																											break


			def 			UpperCAmelCase		(						self  :			Union[str, Any]			,				lowerCAmelCase  :			int)	->				Dict:




									"""simple docstring"""

									if not isinstance(lowerCAmelCase			,				lowerCAmelCase):
															raise ValueError(f'''`token_id` should be an `int`, but is `{token_id}`.''')

									lowercase__,	lowercase__     =  False, False

									if self.completed:
															lowercase__     =  True
															lowercase__     =  False
															return complete, stepped

									if self.inprogress_constraint is not None:
															# In the middle of fulfilling a constraint. If the `token_id` *does* makes an incremental progress to current
															# job, simply update the state

															lowercase__,	lowercase__,	lowercase__     =  self.inprogress_constraint.update(lowerCAmelCase)
															if reset:
																					# 1. If the next token breaks the progress, then we must restart.
																					#     e.g. constraint = "I love pies" and sequence so far is "I love" but `token_id` == "books".

																					#     But that doesn't mean we self.init_state(), since we only reset the state for this particular
																					#     constraint, not the full list of constraints.

																					self.pending_constraints.append(self.inprogress_constraint.copy(stateful=lowerCAmelCase))
																					lowercase__     =  None

															if complete:
																					# 2. If the next token completes the constraint, move it to completed list, set
																					#     inprogress to None. If there are no pending constraints either, then this full list of constraints
																					#     is complete.

																					self.complete_constraints.append(self.inprogress_constraint)
																					lowercase__     =  None

																					if len(self.pending_constraints) == 0:
																											# we're done!
																											lowercase__     =  True

									else:
															# Not in the middle of fulfilling a constraint. So does this `token_id` helps us step towards any of our list
															# of constraints?

															for cidx, pending_constraint in enumerate(self.pending_constraints):
																					if pending_constraint.does_advance(lowerCAmelCase):
																											lowercase__,	lowercase__,	lowercase__     =  pending_constraint.update(lowerCAmelCase)

																											if not stepped:
																																	raise Exception(
																																	    '`constraint.update(token_id)` is not yielding incremental progress, '
																																	    'even though `constraint.does_advance(token_id)` is true.')

																											if complete:
																																	self.complete_constraints.append(lowerCAmelCase)
																																	lowercase__     =  None

																											if not complete and stepped:
																																	lowercase__     =  pending_constraint

																											if complete or stepped:
																																	# If we made any progress at all, then it's at least not a "pending constraint".

																																	lowercase__     =  (
																																	    self.pending_constraints[:cidx] + self.pending_constraints[cidx + 1 :]
																																	)

																																	if len(self.pending_constraints) == 0 and self.inprogress_constraint is None:
																																							# If there's no longer any pending after this and no inprogress either, then we must be
																																							# complete.

																																							lowercase__     =  True

																																	break  # prevent accidentally stepping through multiple constraints with just one token.

									return complete, stepped



			def 			UpperCAmelCase		(						self  :			Dict			,				lowerCAmelCase  :			Dict=True)	->				List[str]:




									"""simple docstring"""

									lowercase__     =  ConstraintListState(self.constraints)  # we actually never though self.constraints objects
									# throughout this process. So it's at initialization state.

									if stateful:
															lowercase__     =  [
															    constraint.copy(stateful=lowerCAmelCase) for constraint in self.complete_constraints
															]
															if self.inprogress_constraint is not None:
																					lowercase__     =  self.inprogress_constraint.copy(stateful=lowerCAmelCase)
															lowercase__     =  [constraint.copy() for constraint in self.pending_constraints]

									return new_state





# Imports
import numpy as np



class       UpperCAmelCase__:

   '''simple docstring'''




   def __init__(						self  :			Any			,				lowerCAmelCase  :			Dict=None			,				lowerCAmelCase  :			List[Any]=None			,				lowerCAmelCase  :			List[Any]=None			,				lowerCAmelCase  :			List[str]=None			,				lowerCAmelCase  :			List[str]=None)	->				Dict:




         """simple docstring"""

         self.set_matricies(red=lowerCAmelCase			,				green=lowerCAmelCase			,				blue=lowerCAmelCase			,				red_edge=lowerCAmelCase			,				nir=lowerCAmelCase)


   def 			UpperCAmelCase		(						self  :			Dict			,				lowerCAmelCase  :			Dict=None			,				lowerCAmelCase  :			Union[str, Any]=None			,				lowerCAmelCase  :			Tuple=None			,				lowerCAmelCase  :			str=None			,				lowerCAmelCase  :			str=None)	->				int:




         """simple docstring"""

         if red is not None:
               lowercase__     =  red
         if green is not None:
               lowercase__     =  green
         if blue is not None:
               lowercase__     =  blue
         if red_edge is not None:
               lowercase__     =  red_edge
         if nir is not None:
               lowercase__     =  nir
         return True


   def 			UpperCAmelCase		(						self  :			Optional[int]			,				lowerCAmelCase  :			Union[str, Any]=""			,				lowerCAmelCase  :			Tuple=None			,				lowerCAmelCase  :			Optional[Any]=None			,				lowerCAmelCase  :			Optional[Any]=None			,				lowerCAmelCase  :			List[Any]=None			,				lowerCAmelCase  :			Dict=None)	->				Union[str, Any]:




         """simple docstring"""

         self.set_matricies(red=lowerCAmelCase			,				green=lowerCAmelCase			,				blue=lowerCAmelCase			,				red_edge=lowerCAmelCase			,				nir=lowerCAmelCase)
         lowercase__     =  {
             '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 			UpperCAmelCase		(						self  :			Optional[int])	->				List[str]:




         """simple docstring"""

         return -0.18 + (1.17 * ((self.nir - self.red) / (self.nir + self.red)))


   def 			UpperCAmelCase		(						self  :			int)	->				Any:




         """simple docstring"""

         return ((self.nir - self.redEdge) / (self.nir + self.redEdge)) / (
             (self.nir - self.red) / (self.nir + self.red)
         )


   def 			UpperCAmelCase		(						self  :			str)	->				Optional[int]:




         """simple docstring"""

         return self.nir * (self.red / (self.green**2))


   def 			UpperCAmelCase		(						self  :			List[str])	->				Optional[int]:




         """simple docstring"""

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


   def 			UpperCAmelCase		(						self  :			Tuple)	->				Any:




         """simple docstring"""

         return (self.nir - self.red) / (self.nir + self.red)


   def 			UpperCAmelCase		(						self  :			Union[str, Any])	->				str:




         """simple docstring"""

         return (self.nir - self.blue) / (self.nir + self.blue)


   def 			UpperCAmelCase		(						self  :			List[Any])	->				Optional[int]:




         """simple docstring"""

         return (self.redEdge - self.red) / (self.redEdge + self.red)


   def 			UpperCAmelCase		(						self  :			Optional[Any])	->				Optional[int]:




         """simple docstring"""

         return (self.nir - self.green) / (self.nir + self.green)


   def 			UpperCAmelCase		(						self  :			Dict)	->				int:




         """simple docstring"""

         return (self.nir - (self.green + self.blue)) / (
             self.nir + (self.green + self.blue)
         )


   def 			UpperCAmelCase		(						self  :			Union[str, Any])	->				Optional[int]:




         """simple docstring"""

         return (self.nir - (self.green + self.red)) / (
             self.nir + (self.green + self.red)
         )


   def 			UpperCAmelCase		(						self  :			Optional[Any])	->				Dict:




         """simple docstring"""

         return (self.nir - (self.blue + self.red)) / (self.nir + (self.blue + self.red))


   def 			UpperCAmelCase		(						self  :			Any)	->				Union[str, Any]:




         """simple docstring"""

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


   def 			UpperCAmelCase		(						self  :			Optional[int]			,				lowerCAmelCase  :			List[Any]=0.08			,				lowerCAmelCase  :			Optional[int]=1.22			,				lowerCAmelCase  :			int=0.03)	->				List[Any]:




         """simple docstring"""

         return a * (
             (self.nir - a * self.red - b)
             / (a * self.nir + self.red - a * b + x * (1 + a**2))
         )


   def 			UpperCAmelCase		(						self  :			Tuple)	->				Any:




         """simple docstring"""

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


   def 			UpperCAmelCase		(						self  :			int)	->				Tuple:




         """simple docstring"""

         return (self.nir / self.green) - 1


   def 			UpperCAmelCase		(						self  :			Any)	->				str:




         """simple docstring"""

         return (self.nir / self.redEdge) - 1


   def 			UpperCAmelCase		(						self  :			Any)	->				List[str]:




         """simple docstring"""

         return (self.red - self.blue) / self.red


   def 			UpperCAmelCase		(						self  :			Any)	->				Optional[int]:




         """simple docstring"""

         lowercase__     =  self.ndvi()
         return ((ndvi + 0.5) / (abs(ndvi + 0.5))) * (abs(ndvi + 0.5) ** (1 / 2))


   def 			UpperCAmelCase		(						self  :			List[Any])	->				str:




         """simple docstring"""

         return self.nir - self.green


   def 			UpperCAmelCase		(						self  :			Tuple)	->				List[Any]:




         """simple docstring"""

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


   def 			UpperCAmelCase		(						self  :			Any)	->				Union[str, Any]:




         """simple docstring"""

         lowercase__     =  (2 * (self.nir**2 - self.red**2) + 1.5 * self.nir + 0.5 * self.red) / (
             self.nir + self.red + 0.5
         )
         return n * (1 - 0.25 * n) - (self.red - 0.1_25) / (1 - self.red)


   def 			UpperCAmelCase		(						self  :			int			,				lowerCAmelCase  :			int=0.16)	->				Dict:




         """simple docstring"""

         return (self.nir - self.green) / (self.nir + self.green + y)


   def 			UpperCAmelCase		(						self  :			str			,				lowerCAmelCase  :			Optional[int]=0.5)	->				Union[str, Any]:




         """simple docstring"""

         return ((self.nir - self.green) / (self.nir + self.green + n)) * (1 + n)


   def 			UpperCAmelCase		(						self  :			str)	->				int:




         """simple docstring"""

         return np.arctan(
             ((2 * self.red - self.green - self.blue) / 30.5) * (self.green - self.blue))


   def 			UpperCAmelCase		(						self  :			Union[str, Any]			,				lowerCAmelCase  :			int=None			,				lowerCAmelCase  :			List[str]=None)	->				Tuple:




         """simple docstring"""

         return (self.nir - b) / (a * self.red)


   def 			UpperCAmelCase		(						self  :			int)	->				Dict:




         """simple docstring"""

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


   def 			UpperCAmelCase		(						self  :			Optional[int])	->				Optional[Any]:




         """simple docstring"""

         return (self.red + self.green + self.blue) / 30.5


   def 			UpperCAmelCase		(						self  :			int)	->				str:




         """simple docstring"""

         return self.nir / self.red


   def 			UpperCAmelCase		(						self  :			Optional[int])	->				Optional[Any]:




         """simple docstring"""

         return (self.rvi() - 1) / (self.rvi() + 1)


   def 			UpperCAmelCase		(						self  :			Optional[int])	->				Optional[int]:




         """simple docstring"""

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


   def 			UpperCAmelCase		(						self  :			Tuple)	->				Any:




         """simple docstring"""

         return self.green / (self.nir + self.red + self.green)


   def 			UpperCAmelCase		(						self  :			Any)	->				Optional[Any]:




         """simple docstring"""

         return self.nir / (self.nir + self.red + self.green)


   def 			UpperCAmelCase		(						self  :			List[Any])	->				Dict:




         """simple docstring"""

         return self.red / (self.nir + self.red + self.green)


   def 			UpperCAmelCase		(						self  :			Optional[Any])	->				Any:




         """simple docstring"""

         return (self.green - self.red) / (self.green + self.red)


   def 			UpperCAmelCase		(						self  :			Dict)	->				Tuple:




         """simple docstring"""

         return (self.red - self.green) / (self.red + self.green)


   def 			UpperCAmelCase		(						self  :			str)	->				int:




         """simple docstring"""

         lowercase__     =  np.max([np.max(self.red), np.max(self.green), np.max(self.blue)])
         lowercase__     =  np.min([np.min(self.red), np.min(self.green), np.min(self.blue)])
         return (max_value - min_value) / max_value


   def 			UpperCAmelCase		(						self  :			Optional[int])	->				Tuple:




         """simple docstring"""

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


   def 			UpperCAmelCase		(						self  :			int)	->				Optional[Any]:




         """simple docstring"""

         return self.nir / self.red


   def 			UpperCAmelCase		(						self  :			Dict)	->				Dict:




         """simple docstring"""

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



   def 			UpperCAmelCase		(						self  :			str)	->				List[Any]:




         """simple docstring"""

         return (self.nir - self.redEdge) / (self.nir + self.redEdge)
