






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


UpperCAmelCase_ :						str      =      logging.get_logger(__name__)

UpperCAmelCase_ :						int      =      {
    '''microsoft/markuplm-base''': '''https://huggingface.co/microsoft/markuplm-base/resolve/main/config.json''',
    '''microsoft/markuplm-large''': '''https://huggingface.co/microsoft/markuplm-large/resolve/main/config.json''',
}

class     _SCREAMING_SNAKE_CASE       (			_a      ):
	snake_case__							:     Tuple     	=  """markuplm"""





	def __init__(		self				:					Union[str, Any] ,  __lowerCamelCase				:					List[Any]=30_522 ,  __lowerCamelCase				:					Union[str, Any]=768 ,  __lowerCamelCase				:					Dict=12 ,  __lowerCamelCase				:					Optional[int]=12 ,  __lowerCamelCase				:					Optional[int]=3_072 ,  __lowerCamelCase				:					Optional[int]="gelu" ,  __lowerCamelCase				:					Tuple=0.1 ,  __lowerCamelCase				:					str=0.1 ,  __lowerCamelCase				:					Any=512 ,  __lowerCamelCase				:					int=2 ,  __lowerCamelCase				:					Tuple=0.02 ,  __lowerCamelCase				:					Any=1E-12 ,  __lowerCamelCase				:					Any=0 ,  __lowerCamelCase				:					Union[str, Any]=0 ,  __lowerCamelCase				:					Union[str, Any]=2 ,  __lowerCamelCase				:					List[str]=256 ,  __lowerCamelCase				:					Union[str, Any]=1_024 ,  __lowerCamelCase				:					Any=216 ,  __lowerCamelCase				:					Optional[Any]=1_001 ,  __lowerCamelCase				:					Tuple=32 ,  __lowerCamelCase				:					Dict=50 ,  __lowerCamelCase				:					Optional[int]="absolute" ,  __lowerCamelCase				:					Optional[int]=True ,  __lowerCamelCase				:					int=None ,  **__lowerCamelCase				:					str ,  ):
		super().__init__(
		    pad_token_id=__lowerCamelCase ,  bos_token_id=__lowerCamelCase ,  eos_token_id=__lowerCamelCase ,  **__lowerCamelCase ,  )
		UpperCamelCase     :str          =	vocab_size
		UpperCamelCase     :List[str]          =	hidden_size
		UpperCamelCase     :int          =	num_hidden_layers
		UpperCamelCase     :Dict          =	num_attention_heads
		UpperCamelCase     :int          =	hidden_act
		UpperCamelCase     :Optional[int]          =	intermediate_size
		UpperCamelCase     :List[Any]          =	hidden_dropout_prob
		UpperCamelCase     :Any          =	attention_probs_dropout_prob
		UpperCamelCase     :Union[str, Any]          =	max_position_embeddings
		UpperCamelCase     :Optional[Any]          =	type_vocab_size
		UpperCamelCase     :Union[str, Any]          =	initializer_range
		UpperCamelCase     :List[str]          =	layer_norm_eps
		UpperCamelCase     :Optional[Any]          =	position_embedding_type
		UpperCamelCase     :Optional[Any]          =	use_cache
		UpperCamelCase     :Any          =	classifier_dropout
		# additional properties
		UpperCamelCase     :Dict          =	max_depth
		UpperCamelCase     :List[Any]          =	max_xpath_tag_unit_embeddings
		UpperCamelCase     :List[Any]          =	max_xpath_subs_unit_embeddings
		UpperCamelCase     :Dict          =	tag_pad_id
		UpperCamelCase     :Optional[Any]          =	subs_pad_id
		UpperCamelCase     :Any          =	xpath_unit_hidden_size




"""simple docstring"""




from math import isclose, sqrt


def     lowercase			(SCREAMING_SNAKE_CASE_		:				float ,			SCREAMING_SNAKE_CASE_		:				float ,			SCREAMING_SNAKE_CASE_		:				float  )   ->						tuple[float, float, float]:
						SCREAMING_SNAKE_CASE													=					point_y / 4 / point_x
						SCREAMING_SNAKE_CASE													=					2 * normal_gradient / (1 + normal_gradient * normal_gradient)
						SCREAMING_SNAKE_CASE													=					(1 - normal_gradient * normal_gradient) / (
						    1 + normal_gradient * normal_gradient
						)
						SCREAMING_SNAKE_CASE													=					(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
						SCREAMING_SNAKE_CASE													=					outgoing_gradient**2 + 4
						SCREAMING_SNAKE_CASE													=					2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
						SCREAMING_SNAKE_CASE													=					(point_y - outgoing_gradient * point_x) ** 2 - 1_00

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

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

						return next_x, next_y, outgoing_gradient


def     lowercase			(SCREAMING_SNAKE_CASE_		:				float = 1.4 ,			SCREAMING_SNAKE_CASE_		:				float = -9.6  )   ->						int:
						SCREAMING_SNAKE_CASE													=					0
						SCREAMING_SNAKE_CASE													=					first_x_coord
						SCREAMING_SNAKE_CASE													=					first_y_coord
						SCREAMING_SNAKE_CASE													=					(10.1 - point_y) / (0.0 - point_x)

						while not (-0.01 <= point_x <= 0.01 and point_y > 0):
												SCREAMING_SNAKE_CASE							,				SCREAMING_SNAKE_CASE							,				SCREAMING_SNAKE_CASE													=					next_point(SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_ ,			SCREAMING_SNAKE_CASE_  )
												num_reflections += 1

						return num_reflections


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


