


"""simple docstring"""


from math import isclose, sqrt




def   snake_case		(     UpperCamelCase__       :						float			,				UpperCamelCase__       :						float			,				UpperCamelCase__       :						float    )   ->      tuple[float, float, float]:
      lowerCamelCase					:					List[Any]        =	point_y / 4 / point_x
      lowerCamelCase					:					Dict        =	2 * normal_gradient / (1 + normal_gradient * normal_gradient)
      lowerCamelCase					:					Tuple        =	(1 - normal_gradient * normal_gradient) / (
          1 + normal_gradient * normal_gradient
      )
      lowerCamelCase					:					Optional[int]        =	(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
      lowerCamelCase					:					Tuple        =	outgoing_gradient**2 + 4
      lowerCamelCase					:					List[Any]        =	2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
      lowerCamelCase					:					Optional[int]        =	(point_y - outgoing_gradient * point_x) ** 2 - 100

      lowerCamelCase					:					Dict        =	(
          -linear_term - sqrt(linear_term**2 - 4 * quadratic_term * constant_term    )
      ) / (2 * quadratic_term)
      lowerCamelCase					:					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
      lowerCamelCase					:					Union[str, Any]        =	x_minus if isclose(UpperCamelCase__			,				UpperCamelCase__    ) else x_plus
      lowerCamelCase					:					str        =	point_y + outgoing_gradient * (next_x - point_x)

      return next_x, next_y, outgoing_gradient




def   snake_case		(     UpperCamelCase__       :						float = 1.4			,				UpperCamelCase__       :						float = -9.6    )   ->      int:
      lowerCamelCase					:					int        =	0
      lowerCamelCase					:					float        =	first_x_coord
      lowerCamelCase					:					float        =	first_y_coord
      lowerCamelCase					:					float        =	(10.1 - point_y) / (0.0 - point_x)

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

      return num_reflections


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








"""simple docstring"""


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


__lowerCamelCase      :Tuple	    =		logging.get_logger(__name__)

__lowerCamelCase      :Any	    =		{
    'vinvino02/glpn-kitti': 'https://huggingface.co/vinvino02/glpn-kitti/resolve/main/config.json',
    # See all GLPN models at https://huggingface.co/models?filter=glpn
}


class 			A__	(						__lowercase):


     """simple docstring"""
     snake_case__	:					Tuple													='''glpn'''

     def __init__(	self:						Dict     ,		__a:						List[str]=3     ,		__a:						Optional[int]=4     ,		__a:						Dict=[2, 2, 2, 2]     ,		__a:						str=[8, 4, 2, 1]     ,		__a:						Optional[int]=[32, 64, 160, 256]     ,		__a:						Dict=[7, 3, 3, 3]     ,		__a:						Dict=[4, 2, 2, 2]     ,		__a:						Optional[Any]=[1, 2, 5, 8]     ,		__a:						Tuple=[4, 4, 4, 4]     ,		__a:						int="gelu"     ,		__a:						Union[str, Any]=0.0     ,		__a:						str=0.0     ,		__a:						Union[str, Any]=0.02     ,		__a:						str=0.1     ,		__a:						Union[str, Any]=1e-6     ,		__a:						Any=64     ,		__a:						Dict=10     ,		__a:						Union[str, Any]=-1     ,		**__a:						Optional[Any]     ,		)->    Dict:
           super().__init__(**__a	)

           lowerCamelCase					:					Dict        =	num_channels
           lowerCamelCase					:					Any        =	num_encoder_blocks
           lowerCamelCase					:					Dict        =	depths
           lowerCamelCase					:					List[str]        =	sr_ratios
           lowerCamelCase					:					Dict        =	hidden_sizes
           lowerCamelCase					:					Tuple        =	patch_sizes
           lowerCamelCase					:					Optional[int]        =	strides
           lowerCamelCase					:					Optional[Any]        =	mlp_ratios
           lowerCamelCase					:					Union[str, Any]        =	num_attention_heads
           lowerCamelCase					:					List[str]        =	hidden_act
           lowerCamelCase					:					Any        =	hidden_dropout_prob
           lowerCamelCase					:					Optional[int]        =	attention_probs_dropout_prob
           lowerCamelCase					:					List[Any]        =	initializer_range
           lowerCamelCase					:					Dict        =	drop_path_rate
           lowerCamelCase					:					Any        =	layer_norm_eps
           lowerCamelCase					:					Optional[Any]        =	decoder_hidden_size
           lowerCamelCase					:					Tuple        =	max_depth
           lowerCamelCase					:					Optional[Any]        =	head_in_index




