



'''simple docstring'''






import os

import numpy
import onnx


def  snake_case_     (					_lowerCAmelCase  :						str   ,      _lowerCAmelCase  :						Optional[Any]  )      ->   int:
							UpperCAmelCase :       Tuple 							=		a.name
							UpperCAmelCase :       Optional[Any] 							=		b.name

							UpperCAmelCase :       List[str] 							=		''''''
							UpperCAmelCase :       int 							=		''''''

							UpperCAmelCase :       Optional[Any] 							=		a == b

							UpperCAmelCase :       Any 							=		name_a
							UpperCAmelCase :       List[str] 							=		name_b

							return res


def  snake_case_     (					_lowerCAmelCase  :						str   ,      _lowerCAmelCase  :						Any   ,      _lowerCAmelCase  :						Tuple  )      ->   Any:
							for i, input_name in enumerate(node_proto.input  ):
														if input_name == name:
																					node_proto.input.insert(_lowerCAmelCase   ,      _lowerCAmelCase  )
																					node_proto.input.pop(i + 1  )

							if node_proto.op_type == "If":
														_graph_replace_input_with(node_proto.attribute[0].g   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )
														_graph_replace_input_with(node_proto.attribute[1].g   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )
							if node_proto.op_type == "Loop":
														_graph_replace_input_with(node_proto.attribute[0].g   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )


def  snake_case_     (					_lowerCAmelCase  :						int   ,      _lowerCAmelCase  :						Any   ,      _lowerCAmelCase  :						Optional[Any]  )      ->   Any:
							for n in graph_proto.node:
														_node_replace_input_with(_lowerCAmelCase   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )


def  snake_case_     (					_lowerCAmelCase  :						str   ,      _lowerCAmelCase  :						List[Any]   ,      _lowerCAmelCase  :						List[str]  )      ->   int:
							UpperCAmelCase :       Any 							=		list(model.graph.initializer  )
							UpperCAmelCase :       Union[str, Any] 							=		list(model_without_ext.graph.initializer  )
							for i, ref_i in ind_to_replace:
														assert inits_with_data[i].name == inits[i].name
														assert inits_with_data[ref_i].name == inits[ref_i].name
														assert i > ref_i

														UpperCAmelCase :       Union[str, Any] 							=		inits[i].name
														UpperCAmelCase :       Tuple 							=		inits[ref_i].name

														model_without_ext.graph.initializer.remove(inits[i]  )

														# for n in model.graph.node:
														_graph_replace_input_with(model_without_ext.graph   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )




def  snake_case_     (					_lowerCAmelCase  :						int  )      ->   Tuple:
							UpperCAmelCase :       List[str] 							=		os.path.dirname(_lowerCAmelCase  )
							UpperCAmelCase :       List[str] 							=		os.path.basename(_lowerCAmelCase  )

							UpperCAmelCase :       int 							=		onnx.load(os.path.join(_lowerCAmelCase   ,      _lowerCAmelCase  )  )

							UpperCAmelCase :       List[str] 							=		list(model.graph.initializer  )

							UpperCAmelCase :       Dict 							=		set()
							UpperCAmelCase :       Tuple 							=		{}
							UpperCAmelCase :       Tuple 							=		[]

							UpperCAmelCase :       Dict 							=		0

							for i in range(len(_lowerCAmelCase  )  ):
														if i in dup_set:
																					continue

														for j in range(i + 1   ,      len(_lowerCAmelCase  )  ):
																					if j in dup_set:
																												continue
																					if _is_equal_tensor_proto(inits[i]   ,      inits[j]  ):
																												dup_set.add(_lowerCAmelCase  )
																												dup_set.add(_lowerCAmelCase  )

																												UpperCAmelCase :       int 							=		inits[j].data_type
																												UpperCAmelCase :       Union[str, Any] 							=		numpy.prod(inits[j].dims  )
																												if dtype == 1:
																																			mem_size *= 4
																												elif dtype == 6:
																																			mem_size *= 4
																												elif dtype == 7 or dtype == 11:
																																			mem_size *= 8
																												else:
																																			print('''unexpected data type: '''   ,      _lowerCAmelCase  )
																												total_reduced_size += mem_size

																												UpperCAmelCase :       List[str] 							=		inits[i].name
																												UpperCAmelCase :       List[str] 							=		inits[j].name

																												if name_i in dup_map:
																																			dup_map[name_i].append(_lowerCAmelCase  )
																												else:
																																			UpperCAmelCase :       List[Any] 							=		[name_j]
																												ind_to_replace.append((j, i)  )

							print('''total reduced size: '''   ,      total_reduced_size / 1024 / 1024 / 1024   ,      '''GB'''  )

							UpperCAmelCase :       Union[str, Any] 							=		sorted(_lowerCAmelCase  )
							_remove_dup_initializers_from_model(_lowerCAmelCase   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )

							UpperCAmelCase :       List[Any] 							=		'''optimized_''' + model_file_name
							UpperCAmelCase :       Optional[Any] 							=		os.path.join(_lowerCAmelCase   ,      _lowerCAmelCase  )
							onnx.save(_lowerCAmelCase   ,      _lowerCAmelCase  )

							return new_model










'''simple docstring'''






from math import isclose, sqrt


def  snake_case_     (					_lowerCAmelCase  :						float   ,      _lowerCAmelCase  :						float   ,      _lowerCAmelCase  :						float  )      ->   tuple[float, float, float]:
							UpperCAmelCase :       Optional[int] 							=		point_y / 4 / point_x
							UpperCAmelCase :       str 							=		2 * normal_gradient / (1 + normal_gradient * normal_gradient)
							UpperCAmelCase :       Any 							=		(1 - normal_gradient * normal_gradient) / (
							    1 + normal_gradient * normal_gradient
							)
							UpperCAmelCase :       Union[str, 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
							UpperCAmelCase :       Union[str, Any] 							=		outgoing_gradient**2 + 4
							UpperCAmelCase :       Dict 							=		2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
							UpperCAmelCase :       List[Any] 							=		(point_y - outgoing_gradient * point_x) ** 2 - 100

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

							return next_x, next_y, outgoing_gradient


def  snake_case_     (					_lowerCAmelCase  :						float = 1.4   ,      _lowerCAmelCase  :						float = -9.6  )      ->   int:
							UpperCAmelCase :       int 							=		0
							UpperCAmelCase :       float 							=		first_x_coord
							UpperCAmelCase :       float 							=		first_y_coord
							UpperCAmelCase :       float 							=		(1_0.1 - point_y) / (0.0 - point_x)

							while not (-0.0_1 <= point_x <= 0.0_1 and point_y > 0):
														UpperCAmelCase							,		UpperCAmelCase							,		UpperCAmelCase :       str 							=		next_point(_lowerCAmelCase   ,      _lowerCAmelCase   ,      _lowerCAmelCase  )
														num_reflections += 1

							return num_reflections


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





