





from __future__ import annotations

import math

import numpy as np
from numpy.linalg import norm







def        __lowerCamelCase (							__a       :np.ndarray   ,					__a       :np.ndarray   )		->    float:






		"""simple docstring"""

		return math.sqrt(sum(pow(a - b   ,					2   ) for a, b in zip(__a   ,					__a   )   )   )







def        __lowerCamelCase (							__a       :np.ndarray   ,					__a       :np.ndarray   )		->    list[list[list[float] | float]]:






		"""simple docstring"""

		if dataset.ndim != value_array.ndim:
				A__  				=       (
				    """Wrong input data's dimensions... """
				    F'dataset : {dataset.ndim}, value_array : {value_array.ndim}'
				)
				raise ValueError(__a   )

		try:
				if dataset.shape[1] != value_array.shape[1]:
						A__  				=       (
						    """Wrong input data's shape... """
						    F'dataset : {dataset.shape[1]}, value_array : {value_array.shape[1]}'
						)
						raise ValueError(__a   )
		except IndexError:
				if dataset.ndim != value_array.ndim:
						raise TypeError("""Wrong shape"""   )

		if dataset.dtype != value_array.dtype:
				A__  				=       (
				    """Input data have different datatype... """
				    F'dataset : {dataset.dtype}, value_array : {value_array.dtype}'
				)
				raise TypeError(__a   )

		A__  				=       []

		for value in value_array:
				A__  				=       euclidean(__a   ,					dataset[0]   )
				A__  				=       dataset[0].tolist()

				for dataset_value in dataset[1:]:
						A__  				=       euclidean(__a   ,					__a   )

						if dist > temp_dist:
								A__  				=       temp_dist
								A__  				=       dataset_value.tolist()

				answer.append([vector, dist]   )

		return answer







def        __lowerCamelCase (							__a       :np.ndarray   ,					__a       :np.ndarray   )		->    float:






		"""simple docstring"""

		return np.dot(__a   ,					__a   ) / (norm(__a   ) * norm(__a   ))


if __name__ == "__main__":
			import doctest

			doctest.testmod()










def        __lowerCamelCase (							__a       :float   ,					__a       :list[float]   )		->    float:






		"""simple docstring"""

		if discount_rate < 0:
				raise ValueError("""Discount rate cannot be negative"""   )
		if not cash_flows:
				raise ValueError("""Cash flows list cannot be empty"""   )
		A__  				=       sum(
		    cash_flow / ((1 + discount_rate) ** i) for i, cash_flow in enumerate(__a   )   )
		return round(__a   ,					ndigits=2   )


if __name__ == "__main__":
					import doctest

					doctest.testmod()



