
import os

import numpy
import onnx


def 							__A(lowerCAmelCase						,  lowerCAmelCase )		->				Optional[int]:

		"""simple docstring"""






		_UpperCamelCase						    =	a.name
		_UpperCamelCase						    =	b.name

		_UpperCamelCase						    =	''''''
		_UpperCamelCase						    =	''''''

		_UpperCamelCase						    =	a == b

		_UpperCamelCase						    =	name_a
		_UpperCamelCase						    =	name_b

		return res


def 							__A(lowerCAmelCase						,  lowerCAmelCase						,  lowerCAmelCase )		->				Optional[int]:

		"""simple docstring"""






		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 							__A(lowerCAmelCase						,  lowerCAmelCase						,  lowerCAmelCase )		->				List[str]:

		"""simple docstring"""






		for n in graph_proto.node:
				_node_replace_input_with(lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_ )


def 							__A(lowerCAmelCase						,  lowerCAmelCase						,  lowerCAmelCase )		->				Dict:

		"""simple docstring"""






		_UpperCamelCase						    =	list(model.graph.initializer )
		_UpperCamelCase						    =	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						    =	inits[i].name
				_UpperCamelCase						    =	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 							__A(lowerCAmelCase )		->				Dict:

		"""simple docstring"""






		_UpperCamelCase						    =	os.path.dirname(lowerCAmelCase_ )
		_UpperCamelCase						    =	os.path.basename(lowerCAmelCase_ )

		_UpperCamelCase						    =	onnx.load(os.path.join(lowerCAmelCase_						,  lowerCAmelCase_ ) )

		_UpperCamelCase						    =	list(model.graph.initializer )

		_UpperCamelCase						    =	set()
		_UpperCamelCase						    =	{}
		_UpperCamelCase						    =	[]

		_UpperCamelCase						    =	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						    =	inits[j].data_type
								_UpperCamelCase						    =	numpy.prod(inits[j].dims )
								if dtype == 1:
										mem_size *= 4
								elif dtype == 6:
										mem_size *= 4
								elif dtype == 7 or dtype == 1_1:
										mem_size *= 8
								else:
										print("""unexpected data type: """						,  lowerCAmelCase_ )
								total_reduced_size += mem_size

								_UpperCamelCase						    =	inits[i].name
								_UpperCamelCase						    =	inits[j].name

								if name_i in dup_map:
										dup_map[name_i].append(lowerCAmelCase_ )
								else:
										_UpperCamelCase						    =	[name_j]
								ind_to_replace.append((j, i) )

		print("""total reduced size: """						,  total_reduced_size / 1_0_2_4 / 1_0_2_4 / 1_0_2_4						,  """GB""" )

		_UpperCamelCase						    =	sorted(lowerCAmelCase_ )
		_remove_dup_initializers_from_model(lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_ )

		_UpperCamelCase						    =	'''optimized_''' + model_file_name
		_UpperCamelCase						    =	os.path.join(lowerCAmelCase_						,  lowerCAmelCase_ )
		onnx.save(lowerCAmelCase_						,  lowerCAmelCase_ )

		return new_model





from math import isclose, sqrt


def 							__A(lowerCAmelCase						,  lowerCAmelCase						,  lowerCAmelCase )		->				tuple[float, float, float]:

		"""simple docstring"""






		_UpperCamelCase						    =	point_y / 4 / point_x
		_UpperCamelCase						    =	2 * normal_gradient / (1 + normal_gradient * normal_gradient)
		_UpperCamelCase						    =	(1 - normal_gradient * normal_gradient) / (
		    1 + normal_gradient * normal_gradient
		)
		_UpperCamelCase						    =	(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						    =	outgoing_gradient**2 + 4
		_UpperCamelCase						    =	2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
		_UpperCamelCase						    =	(point_y - outgoing_gradient * point_x) ** 2 - 1_0_0

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

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

		return next_x, next_y, outgoing_gradient


def 							__A(lowerCAmelCase = 1.4						,  lowerCAmelCase = -9.6 )		->				int:

		"""simple docstring"""






		_UpperCamelCase						    =	0
		_UpperCamelCase						    =	first_x_coord
		_UpperCamelCase						    =	first_y_coord
		_UpperCamelCase						    =	(10.1 - point_y) / (0.0 - point_x)

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

		return num_reflections


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



