





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


lowerCAmelCase_    =    logging.get_logger(__name__)

lowerCAmelCase_    =    {
    '''sayakpaul/vit-msn-base''': '''https://huggingface.co/sayakpaul/vit-msn-base/resolve/main/config.json''',
    # See all ViT MSN models at https://huggingface.co/models?filter=vit_msn
}



class  __lowerCAmelCase	(      _a					):
			lowerCamelCase_					:					Optional[Any]	      =				'''vit_msn'''






			def __init__(self ,							__magic_name__=768 ,							__magic_name__=12 ,							__magic_name__=12 ,							__magic_name__=3072 ,							__magic_name__="gelu" ,							__magic_name__=0.0 ,							__magic_name__=0.0 ,							__magic_name__=0.02 ,							__magic_name__=1e-06 ,							__magic_name__=224 ,							__magic_name__=16 ,							__magic_name__=3 ,							__magic_name__=True ,							**__magic_name__ ,							)					->       Dict:


							'''simple docstring'''



							super().__init__(**__magic_name__   )

							snake_case_						:   Any           =  hidden_size
							snake_case_						:   Union[str, Any]           =  num_hidden_layers
							snake_case_						:   Any           =  num_attention_heads
							snake_case_						:   Tuple           =  intermediate_size
							snake_case_						:   Union[str, Any]           =  hidden_act
							snake_case_						:   Any           =  hidden_dropout_prob
							snake_case_						:   Optional[Any]           =  attention_probs_dropout_prob
							snake_case_						:   Optional[Any]           =  initializer_range
							snake_case_						:   Optional[Any]           =  layer_norm_eps
							snake_case_						:   int           =  image_size
							snake_case_						:   Optional[Any]           =  patch_size
							snake_case_						:   Tuple           =  num_channels
							snake_case_						:   Tuple           =  qkv_bias







from math import isclose, sqrt






def 					lowerCamelCase_						(    _UpperCamelCase			,    _UpperCamelCase			,    _UpperCamelCase			)		->						tuple[float, float, float]:






				"""simple docstring"""


				snake_case_						:   Dict           =  point_y / 4 / point_x
				snake_case_						:   List[str]           =  2 * normal_gradient / (1 + normal_gradient * normal_gradient)
				snake_case_						:   Union[str, Any]           =  (1 - normal_gradient * normal_gradient) / (
				    1 + normal_gradient * normal_gradient
				)
				snake_case_						:   Tuple           =  (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
				snake_case_						:   Union[str, Any]           =  outgoing_gradient**2 + 4
				snake_case_						:   Tuple           =  2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
				snake_case_						:   Optional[Any]           =  (point_y - outgoing_gradient * point_x) ** 2 - 100

				snake_case_						:   Dict           =  (
				    -linear_term - sqrt(linear_term**2 - 4 * quadratic_term * constant_term			)
				) / (2 * quadratic_term)
				snake_case_						:   Optional[int]           =  (
				    -linear_term + sqrt(linear_term**2 - 4 * quadratic_term * constant_term			)
				) / (2 * quadratic_term)

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

				return next_x, next_y, outgoing_gradient






def 					lowerCamelCase_						(    _UpperCamelCase = 1.4			,    _UpperCamelCase = -9.6			)		->						int:






				"""simple docstring"""


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

				while not (-0.01 <= point_x <= 0.01 and point_y > 0):
								snake_case_      ,							snake_case_      ,							snake_case_						:   str           =  next_point(_UpperCamelCase			,    _UpperCamelCase			,    _UpperCamelCase			)
								num_reflections += 1

				return num_reflections


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