






"""simple docstring"""


from math import isclose, sqrt




def       snake_case  (A_				:float     ,      A_				:float     ,      A_				:float				):







  '''simple docstring'''

  a					:      Dict    =       point_y / 4 / point_x
  a					:      Optional[Any]    =       2 * normal_gradient / (1 + normal_gradient * normal_gradient)
  a					:      Dict    =       (1 - normal_gradient * normal_gradient) / (
      1 + normal_gradient * normal_gradient
  )
  a					:      List[Any]    =       (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
  a					:      Optional[Any]    =       outgoing_gradient**2 + 4
  a					:      List[Any]    =       2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
  a					:      List[Any]    =       (point_y - outgoing_gradient * point_x) ** 2 - 1_0_0

  a					:      Tuple    =       (
      -linear_term - sqrt(linear_term**2 - 4 * quadratic_term * constant_term				)
  ) / (2 * quadratic_term)
  a					:      Union[str, Any]    =       (
      -linear_term + sqrt(linear_term**2 - 4 * quadratic_term * constant_term				)
  ) / (2 * quadratic_term)

  # two solutions, one of which is our input point
  a					:      List[Any]    =       x_minus if isclose(A_     ,      A_				) else x_plus
  a					:      Optional[Any]    =       point_y + outgoing_gradient * (next_x - point_x)

  return next_x, next_y, outgoing_gradient




def       snake_case  (A_				:float = 1.4     ,      A_				:float = -9.6				):







  '''simple docstring'''

  a					:      int    =       0
  a					:      float    =       first_x_coord
  a					:      float    =       first_y_coord
  a					:      float    =       (10.1 - point_y) / (0.0 - point_x)

  while not (-0.01 <= point_x <= 0.01 and point_y > 0):
    a					:      Union[str, Any]    =       next_point(A_     ,      A_     ,      A_				)
    num_reflections += 1

  return num_reflections


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












"""simple docstring"""


import logging
from dataclasses import dataclass, field
from pathlib import Path
from typing import Optional, Union

from .generation.configuration_utils import GenerationConfig
from .training_args import TrainingArguments
from .utils import add_start_docstrings


_UpperCamelCase    :   Dict   			=						logging.getLogger(__name__)






@dataclass
@add_start_docstrings(TrainingArguments.__doc__	)
class 						snake_case  (  UpperCAmelCase	):
    __magic_name__   					=					field(default=UpperCAmelCase       ,			metadata={'''help''': '''Whether to use SortishSampler or not.'''}	)
    __magic_name__   					=					field(
        default=UpperCAmelCase       ,			metadata={'''help''': '''Whether to use generate to calculate generative metrics (ROUGE, BLEU).'''}	)
    __magic_name__   					=					field(
        default=UpperCAmelCase       ,			metadata={
            '''help''': (
                '''The `max_length` to use on each evaluation loop when `predict_with_generate=True`. Will default '''
                '''to the `max_length` value of the model configuration.'''
            )
        }       ,			)
    __magic_name__   					=					field(
        default=UpperCAmelCase       ,			metadata={
            '''help''': (
                '''The `num_beams` to use on each evaluation loop when `predict_with_generate=True`. Will default '''
                '''to the `num_beams` value of the model configuration.'''
            )
        }       ,			)
    __magic_name__   					=					field(
        default=UpperCAmelCase       ,			metadata={
            '''help''': '''Model id, file path or url pointing to a GenerationConfig json file, to use during prediction.'''
        }       ,			)





    def     lowerCamelCase__				(							self     : Optional[int]      ):


      '''simple docstring'''




      a					:      List[Any]    =       super().to_dict()
      for k, v in d.items():
        if isinstance(A    ,		A      ):
          a					:      str    =       v.to_dict()
      return d




