



from math import radians as angle_to_radians
from math import sin

# Acceleration Constant on Earth (unit m/s^2)
UpperCamelCase_									=   9.8_0_6_6_5







def       lowerCamelCase_  (    _a       :						float   ,		_a       :						float    ):



    '''simple docstring'''




    if not isinstance(_a   ,		(int, float)    ):
        raise TypeError("""Invalid velocity. Should be a positive number."""    )

    if not isinstance(_a   ,		(int, float)    ):
        raise TypeError("""Invalid angle. Range is 1-90 degrees."""    )

    # Ensure valid angle
    if angle > 90 or angle < 1:
        raise ValueError("""Invalid angle. Range is 1-90 degrees."""    )

    # Ensure valid velocity
    if init_velocity < 0:
        raise ValueError("""Invalid velocity. Should be a positive number."""    )







def       lowerCamelCase_  (    _a       :						float   ,		_a       :						float    ):



    '''simple docstring'''




    check_args(_a   ,		_a    )
    UpperCAmelCase_     :       Union[str, Any]  		=					angle_to_radians(2 * angle    )
    return round(init_velocity**2 * sin(_a    ) / g   ,		2    )







def       lowerCamelCase_  (    _a       :						float   ,		_a       :						float    ):



    '''simple docstring'''




    check_args(_a   ,		_a    )
    UpperCAmelCase_     :       int  		=					angle_to_radians(_a    )
    return round(init_velocity**2 * sin(_a    ) ** 2 / (2 * g)   ,		2    )







def       lowerCamelCase_  (    _a       :						float   ,		_a       :						float    ):



    '''simple docstring'''




    check_args(_a   ,		_a    )
    UpperCAmelCase_     :       List[str]  		=					angle_to_radians(_a    )
    return round(2 * init_velocity * sin(_a    ) / g   ,		2    )







def       lowerCamelCase_  (    ):



    '''simple docstring'''




    UpperCAmelCase_		, UpperCAmelCase_     :       Tuple  		=					25, 20
    assert horizontal_distance(_a   ,		_a    ) == 4_0.9_7
    assert max_height(_a   ,		_a    ) == 3.7_3
    assert total_time(_a   ,		_a    ) == 1.7_4


if __name__ == "__main__":
      from doctest import testmod

      testmod()

      # Get input from user
      UpperCamelCase_									=   float(input('''Initial Velocity: ''').strip())

      # Get input from user
      UpperCamelCase_									=   float(input('''angle: ''').strip())

      # Print results
      print()
      print('''Results: ''')
      print(F"Horizontal Distance: {horizontal_distance(init_vel, angle)!s} [m]")
      print(F"Maximum Height: {max_height(init_vel, angle)!s} [m]")
      print(F"Total Time: {total_time(init_vel, angle)!s} [s]")





import copy

from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCamelCase_									=   logging.get_logger(__name__)

UpperCamelCase_									=   {}







class       _snake_case				(     __snake_case ):






   '''simple docstring'''






   A__      : List[str]       =						"fsmt_decoder"


   def __init__(    self:     Optional[Any]  ,lowerCamelCase_:     Tuple=0  ,lowerCamelCase_:     List[str]=0							)	->      Any:
       super().__init__()
       UpperCAmelCase_     :       Optional[Any]  		=					vocab_size
       UpperCAmelCase_     :       Union[str, Any]  		=					bos_token_id







class       _snake_case				(     __snake_case ):






   '''simple docstring'''






   A__      : Dict       =						"fsmt"
   A__      : int       =						{"num_attention_heads": "encoder_attention_heads", "hidden_size": "d_model"}


   def __init__(    self:     int  ,lowerCamelCase_:     Optional[Any]=["en", "de"]  ,lowerCamelCase_:     Any=42024  ,lowerCamelCase_:     Any=42024  ,lowerCamelCase_:     List[str]="relu"  ,lowerCamelCase_:     Any=1024  ,lowerCamelCase_:     Optional[int]=200  ,lowerCamelCase_:     str=1024  ,lowerCamelCase_:     Any=4096  ,lowerCamelCase_:     Dict=12  ,lowerCamelCase_:     Tuple=16  ,lowerCamelCase_:     List[Any]=0.0  ,lowerCamelCase_:     str=4096  ,lowerCamelCase_:     Union[str, Any]=12  ,lowerCamelCase_:     Any=16  ,lowerCamelCase_:     List[str]=0.0  ,lowerCamelCase_:     str=0.0  ,lowerCamelCase_:     Optional[int]=0.1  ,lowerCamelCase_:     List[Any]=0.0  ,lowerCamelCase_:     Tuple=0.0_2  ,lowerCamelCase_:     str=2  ,lowerCamelCase_:     List[str]=True  ,lowerCamelCase_:     Dict=True  ,lowerCamelCase_:     Any=False  ,lowerCamelCase_:     Any=5  ,lowerCamelCase_:     Optional[int]=1.0  ,lowerCamelCase_:     List[str]=False  ,lowerCamelCase_:     List[Any]=True  ,lowerCamelCase_:     List[str]=1  ,lowerCamelCase_:     int=0  ,lowerCamelCase_:     Optional[Any]=2  ,lowerCamelCase_:     Any=2  ,**lowerCamelCase_:     Optional[Any]  ,)	->      int:
       UpperCAmelCase_     :       Dict  		=					langs
       UpperCAmelCase_     :       Tuple  		=					src_vocab_size
       UpperCAmelCase_     :       Optional[int]  		=					tgt_vocab_size
       UpperCAmelCase_     :       Optional[Any]  		=					d_model  # encoder_embed_dim and decoder_embed_dim

       UpperCAmelCase_     :       List[str]  		=					encoder_ffn_dim
       UpperCAmelCase_     :       List[Any]  		=					encoder_layers
       UpperCAmelCase_     :       List[Any]  		=					encoder_attention_heads
       UpperCAmelCase_     :       Union[str, Any]  		=					encoder_layerdrop
       UpperCAmelCase_     :       List[Any]  		=					decoder_layerdrop
       UpperCAmelCase_     :       str  		=					decoder_ffn_dim
       UpperCAmelCase_     :       Optional[int]  		=					decoder_layers
       UpperCAmelCase_     :       int  		=					decoder_attention_heads
       UpperCAmelCase_     :       List[Any]  		=					max_position_embeddings
       UpperCAmelCase_     :       Dict  		=					init_std  # Normal(0, this parameter)
       UpperCAmelCase_     :       Dict  		=					activation_function

       UpperCAmelCase_     :       List[str]  		=					DecoderConfig(vocab_size=lowerCamelCase_  ,bos_token_id=lowerCamelCase_							)
       if "decoder" in common_kwargs:
           del common_kwargs["decoder"]

       UpperCAmelCase_     :       Any  		=					scale_embedding  # scale factor will be sqrt(d_model) if True

       # 3 Types of Dropout
       UpperCAmelCase_     :       int  		=					attention_dropout
       UpperCAmelCase_     :       int  		=					activation_dropout
       UpperCAmelCase_     :       Any  		=					dropout

       UpperCAmelCase_     :       Any  		=					use_cache
       super().__init__(
           pad_token_id=lowerCamelCase_  ,bos_token_id=lowerCamelCase_  ,eos_token_id=lowerCamelCase_  ,decoder_start_token_id=lowerCamelCase_  ,is_encoder_decoder=lowerCamelCase_  ,tie_word_embeddings=lowerCamelCase_  ,forced_eos_token_id=lowerCamelCase_  ,max_length=lowerCamelCase_  ,num_beams=lowerCamelCase_  ,length_penalty=lowerCamelCase_  ,early_stopping=lowerCamelCase_  ,**lowerCamelCase_  ,)






   def       A__    (    self:     List[str]							)	->      Union[str, Any]:
       UpperCAmelCase_     :       str  		=					copy.deepcopy(self.__dict__							)
       UpperCAmelCase_     :       int  		=					self.decoder.to_dict()
       UpperCAmelCase_     :       Dict  		=					self.__class__.model_type
       return output
