





from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403





def lowerCAmelCase__(__snake_case ,__snake_case ,__snake_case = "x" ,__snake_case = 10**-10 ,__snake_case = 1 ,)       ->   complex:







	'''simple docstring'''







	lowerCamelCase__              =	symbols(__snake_case							)
	lowerCamelCase__              =	lambdify(__snake_case ,__snake_case							)
	lowerCamelCase__              =	lambdify(__snake_case ,diff(__snake_case ,__snake_case							)							)

	lowerCamelCase__              =	starting_point

	while True:
		if diff_function(__snake_case							) != 0:
			lowerCamelCase__              =	prev_guess - multiplicity * func(__snake_case							) / diff_function(
			    __snake_case							)
		else:
			raise ZeroDivisionError('''Could not find root'''							) from None

		# Precision is checked by comparing the difference of consecutive guesses
		if abs(next_guess - prev_guess							) < precision:
			return next_guess

		lowerCamelCase__              =	next_guess


# Let's Execute
if __name__ == "__main__":
			# Find root of trigonometric function
			# Find value of pi
			print(f"""The root of sin(x) = 0 is {newton_raphson('sin(x)', 2)}""")

			# Find root of polynomial
			# Find fourth Root of 5
			print(f"""The root of x**4 - 5 = 0 is {newton_raphson('x**4 -5', 0.4 +5j)}""")

			# Find value of e
			print(
			    "The root of log(y) - 1 = 0 is ",
			    f"""{newton_raphson('log(y) - 1', 2, variable='y')}""",
			)

			# Exponential Roots
			print(
			    "The root of exp(x) - 1 = 0 is",
			    f"""{newton_raphson('exp(x) - 1', 10, precision=0.005)}""",
			)

			# Find root of cos(x)
			print(f"""The root of cos(x) = 0 is {newton_raphson('cos(x)', 0)}""")









from dataclasses import dataclass
from typing import Optional

import torch
from torch import nn

from ..configuration_utils import ConfigMixin, register_to_config
from ..utils import BaseOutput
from .attention import BasicTransformerBlock
from .modeling_utils import ModelMixin






@dataclass
class       __A					(					lowerCAmelCase				):

			'''simple docstring'''







			lowerCAmelCase_							  =		42






class       __A					(					lowerCAmelCase    ,       lowerCAmelCase				):

			'''simple docstring'''







			@register_to_config
			def __init__(					self ,						__lowerCAmelCase = 1_6 ,						__lowerCAmelCase = 8_8 ,						__lowerCAmelCase = None ,						__lowerCAmelCase = None ,						__lowerCAmelCase = 1 ,						__lowerCAmelCase = 0.0 ,						__lowerCAmelCase = 3_2 ,						__lowerCAmelCase = None ,						__lowerCAmelCase = False ,						__lowerCAmelCase = None ,						__lowerCAmelCase = "geglu" ,						__lowerCAmelCase = True ,						__lowerCAmelCase = True ,						):



				'''simple docstring'''







				super().__init__()
				lowerCamelCase__              =	num_attention_heads
				lowerCamelCase__              =	attention_head_dim
				lowerCamelCase__              =	num_attention_heads * attention_head_dim

				lowerCamelCase__              =	in_channels

				lowerCamelCase__              =	torch.nn.GroupNorm(num_groups=__lowerCAmelCase ,						num_channels=__lowerCAmelCase ,						eps=1E-6 ,						affine=__lowerCAmelCase							)
				lowerCamelCase__              =	nn.Linear(__lowerCAmelCase ,						__lowerCAmelCase							)

				# 3. Define transformers blocks
				lowerCamelCase__              =	nn.ModuleList(
				    [
				        BasicTransformerBlock(
				            __lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase ,						dropout=__lowerCAmelCase ,						cross_attention_dim=__lowerCAmelCase ,						activation_fn=__lowerCAmelCase ,						attention_bias=__lowerCAmelCase ,						double_self_attention=__lowerCAmelCase ,						norm_elementwise_affine=__lowerCAmelCase ,						)
				        for d in range(__lowerCAmelCase							)
				    ]							)

				lowerCamelCase__              =	nn.Linear(__lowerCAmelCase ,						__lowerCAmelCase							)





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase ,						__lowerCAmelCase=None ,						__lowerCAmelCase=None ,						__lowerCAmelCase=None ,						__lowerCAmelCase=1 ,						__lowerCAmelCase=None ,						__lowerCAmelCase = True ,						):



				'''simple docstring'''







				lowerCamelCase__       ,			lowerCamelCase__       ,			lowerCamelCase__       ,			lowerCamelCase__              =	hidden_states.shape
				lowerCamelCase__              =	batch_frames // num_frames

				lowerCamelCase__              =	hidden_states

				lowerCamelCase__              =	hidden_states[None, :].reshape(__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase							)
				lowerCamelCase__              =	hidden_states.permute(0 ,						2 ,						1 ,						3 ,						4							)

				lowerCamelCase__              =	self.norm(__lowerCAmelCase							)
				lowerCamelCase__              =	hidden_states.permute(0 ,						3 ,						4 ,						2 ,						1							).reshape(batch_size * height * width ,						__lowerCAmelCase ,						__lowerCAmelCase							)

				lowerCamelCase__              =	self.proj_in(__lowerCAmelCase							)

				# 2. Blocks
				for block in self.transformer_blocks:
					lowerCamelCase__              =	block(
					    __lowerCAmelCase ,						encoder_hidden_states=__lowerCAmelCase ,						timestep=__lowerCAmelCase ,						cross_attention_kwargs=__lowerCAmelCase ,						class_labels=__lowerCAmelCase ,						)

				# 3. Output
				lowerCamelCase__              =	self.proj_out(__lowerCAmelCase							)
				lowerCamelCase__              =	(
				    hidden_states[None, None, :]
				    .reshape(__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase							)
				    .permute(0 ,						3 ,						4 ,						1 ,						2							)
				    .contiguous()
				)
				lowerCamelCase__              =	hidden_states.reshape(__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase ,						__lowerCAmelCase							)

				lowerCamelCase__              =	hidden_states + residual

				if not return_dict:
					return (output,)

				return TransformerTemporalModelOutput(sample=__lowerCAmelCase							)



