





'''simple docstring'''

import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import ClassLabel, Features, Value
from .base import TaskTemplate
@dataclass(frozen=__lowercase			)
class     __lowerCAmelCase					(   __lowercase			):






       """simple docstring"""
       # `task` is not a ClassVar since we want it to be part of the `asdict` output for JSON serialization
       _snake_case     :					str						    =   field(default='text-classification'						,						metadata={'include_in_asdict_even_if_is_default': True}			)
       _snake_case     :					ClassVar[Features]						    =   Features({'text': Value('string'			)}			)
       _snake_case     :					ClassVar[Features]						    =   Features({'labels': ClassLabel}			)
       _snake_case     :					str						    =   "text"
       _snake_case     :					str						    =   "labels"





       def snake_case__						(							self       :		Tuple	,			lowerCAmelCase__       :		Optional[int]					)   ->					Tuple:

            '''simple docstring'''




            if self.label_column not in features:
                 raise ValueError(f"""Column {self.label_column} is not present in features."""					)
            if not isinstance(features[self.label_column]	,			UpperCAmelCase__					):
                 raise ValueError(f"""Column {self.label_column} is not a ClassLabel."""					)
            _UpperCamelCase       =	copy.deepcopy(self					)
            _UpperCamelCase       =	self.label_schema.copy()
            _UpperCamelCase       =	features[self.label_column]
            _UpperCamelCase       =	label_schema
            return task_template







       @property
       def snake_case__						(							self       :		Tuple					)   ->					Dict[str, str]:

            '''simple docstring'''




            return {
                self.text_column: "text",
                self.label_column: "labels",
            }









'''simple docstring'''

from math import isclose, sqrt







def  a__    (    lowercase :					float, lowercase :					float, lowercase :					float				)		->		tuple[float, float, float]:





     """simple docstring"""

     _UpperCamelCase       =	point_y / 4 / point_x
     _UpperCamelCase       =	2 * normal_gradient / (1 + normal_gradient * normal_gradient)
     _UpperCamelCase       =	(1 - normal_gradient * normal_gradient) / (
         1 + normal_gradient * normal_gradient
     )
     _UpperCamelCase       =	(sa - ca * incoming_gradient) / (ca + sa * incoming_gradient)

     # to find the next point, solve the simultaeneous equations:
     # y^2 + 4x^2 = 100
     # y - b = m * (x - a)
     # ==> A x^2 + B x + C = 0
     _UpperCamelCase       =	outgoing_gradient**2 + 4
     _UpperCamelCase       =	2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
     _UpperCamelCase       =	(point_y - outgoing_gradient * point_x) ** 2 - 100

     _UpperCamelCase       =	(
         -linear_term - sqrt(linear_term**2 - 4 * quadratic_term * constant_term				)
     ) / (2 * quadratic_term)
     _UpperCamelCase       =	(
         -linear_term + sqrt(linear_term**2 - 4 * quadratic_term * constant_term				)
     ) / (2 * quadratic_term)

     # two solutions, one of which is our input point
     _UpperCamelCase       =	x_minus if isclose(lowercase, lowercase				) else x_plus
     _UpperCamelCase       =	point_y + outgoing_gradient * (next_x - point_x)

     return next_x, next_y, outgoing_gradient







def  a__    (    lowercase :					float = 1.4, lowercase :					float = -9.6				)		->		int:





     """simple docstring"""

     _UpperCamelCase       =	0
     _UpperCamelCase       =	first_x_coord
     _UpperCamelCase       =	first_y_coord
     _UpperCamelCase       =	(1_0.1 - point_y) / (0.0 - point_x)

     while not (-0.0_1 <= point_x <= 0.0_1 and point_y > 0):
          _UpperCamelCase   ,    _UpperCamelCase   ,    _UpperCamelCase       =	next_point(lowercase, lowercase, lowercase				)
          num_reflections += 1

     return num_reflections


if __name__ == "__main__":
   print(F"""{solution() = }""")



