


"""simple docstring"""


# Imports
import numpy as np
class   _UpperCamelCase  :
							'''simple docstring'''







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

							def 			snake_case				(     self    ,   __a=None    ,   __a=None    ,   __a=None    ,   __a=None    ,   __a=None	):
										if red is not None:
													__lowerCAmelCase				    =			red
										if green is not None:
													__lowerCAmelCase				    =			green
										if blue is not None:
													__lowerCAmelCase				    =			blue
										if red_edge is not None:
													__lowerCAmelCase				    =			red_edge
										if nir is not None:
													__lowerCAmelCase				    =			nir
										return True

							def 			snake_case				(     self    ,   __a=""    ,   __a=None    ,   __a=None    ,   __a=None    ,   __a=None    ,   __a=None	):
										self.set_matricies(red=__a    ,   green=__a    ,   blue=__a    ,   red_edge=__a    ,   nir=__a	)
										__lowerCAmelCase				    =			{
										    "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 			snake_case				(     self	):
										return -0.1_8 + (1.1_7 * ((self.nir - self.red) / (self.nir + self.red)))

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

							def 			snake_case				(     self	):
										__lowerCAmelCase				    =			self.ndvi()
										return ((ndvi + 0.5) / (abs(ndvi + 0.5	))) * (abs(ndvi + 0.5	) ** (1 / 2))

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

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

							def 			snake_case				(     self	):
										__lowerCAmelCase				    =			(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 			snake_case				(     self    ,   __a=0.1_6	):
										return (self.nir - self.green) / (self.nir + self.green + y)

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

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

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

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

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

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

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

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

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

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

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

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

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

							def 			snake_case				(     self	):
										__lowerCAmelCase				    =			np.max([np.max(self.red	), np.max(self.green	), np.max(self.blue	)]	)
										__lowerCAmelCase				    =			np.min([np.min(self.red	), np.min(self.green	), np.min(self.blue	)]	)
										return (max_value - min_value) / max_value

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

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

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



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








"""simple docstring"""


import numpy

# List of input, output pairs
A     :   Any			    =			(
    ((5, 2, 3), 1_5),
    ((6, 5, 9), 2_5),
    ((1_1, 1_2, 1_3), 4_1),
    ((1, 1, 1), 8),
    ((1_1, 1_2, 1_3), 4_1),
)
A     :   str			    =			(((5_1_5, 2_2, 1_3), 5_5_5), ((6_1, 3_5, 4_9), 1_5_0))
A     :   Union[str, Any]			    =			[2, 4, 1, 5]
A     :   int			    =			len(train_data)
A     :   Dict			    =			0.009


def _lowerCamelCase	(		_UpperCamelCase    , _UpperCamelCase="train"      ):

			'''simple docstring'''




			return calculate_hypothesis_value(_UpperCamelCase    , _UpperCamelCase      ) - output(
			    _UpperCamelCase    , _UpperCamelCase      )


def _lowerCamelCase	(		_UpperCamelCase      ):

			'''simple docstring'''




			__lowerCAmelCase				    =			0
			for i in range(len(_UpperCamelCase      ) - 1      ):
						hyp_val += data_input_tuple[i] * parameter_vector[i + 1]
			hyp_val += parameter_vector[0]
			return hyp_val


def _lowerCamelCase	(		_UpperCamelCase    , _UpperCamelCase      ):

			'''simple docstring'''




			if data_set == "train":
						return train_data[example_no][1]
			elif data_set == "test":
						return test_data[example_no][1]
			return None


def _lowerCamelCase	(		_UpperCamelCase    , _UpperCamelCase      ):

			'''simple docstring'''




			if data_set == "train":
						return _hypothesis_value(train_data[example_no][0]      )
			elif data_set == "test":
						return _hypothesis_value(test_data[example_no][0]      )
			return None


def _lowerCamelCase	(		_UpperCamelCase    , _UpperCamelCase=m      ):

			'''simple docstring'''




			__lowerCAmelCase				    =			0
			for i in range(_UpperCamelCase      ):
						if index == -1:
									summation_value += _error(_UpperCamelCase      )
						else:
									summation_value += _error(_UpperCamelCase      ) * train_data[i][0][index]
			return summation_value


def _lowerCamelCase	(		_UpperCamelCase      ):

			'''simple docstring'''




			__lowerCAmelCase				    =			summation_of_cost_derivative(_UpperCamelCase    , _UpperCamelCase      ) / m
			return cost_derivative_value


def _lowerCamelCase	(		):

			'''simple docstring'''




			global parameter_vector
			# Tune these values to set a tolerance value for predicted output
			__lowerCAmelCase				    =			0.00_00_02
			__lowerCAmelCase				    =			0
			__lowerCAmelCase				    =			0
			while True:
						j += 1
						__lowerCAmelCase				    =			[0, 0, 0, 0]
						for i in range(0    , len(_UpperCamelCase      )      ):
									__lowerCAmelCase				    =			get_cost_derivative(i - 1      )
									__lowerCAmelCase				    =			(
									    parameter_vector[i] - LEARNING_RATE * cost_derivative
									)
						if numpy.allclose(
						    _UpperCamelCase    , _UpperCamelCase    , atol=_UpperCamelCase    , rtol=_UpperCamelCase    , ):
									break
						__lowerCAmelCase				    =			temp_parameter_vector
			print(("Number of iterations:", j)      )


def _lowerCamelCase	(		):

			'''simple docstring'''




			for i in range(len(_UpperCamelCase      )      ):
						print(("Actual output value:", output(_UpperCamelCase    , "test"      ))      )
						print(("Hypothesis output:", calculate_hypothesis_value(_UpperCamelCase    , "test"      ))      )


if __name__ == "__main__":
	run_gradient_descent()
	print("\nTesting gradient descent for a linear hypothesis function.\n")
	test_gradient_descent()




