



from __future__ import annotations

import matplotlib.pyplot as plt  # type: ignore
import numpy

# initial triangle of Koch snowflake
UpperCAmelCase   :							Any							 =numpy.array([0, 0])
UpperCAmelCase   :							Any							 =numpy.array([0.5, 0.8_660_254])
UpperCAmelCase   :							Tuple							 =numpy.array([1, 0])
UpperCAmelCase   :							List[Any]							 =[VECTOR_1, VECTOR_2, VECTOR_3, VECTOR_1]



def    _lowerCAmelCase    (_lowerCAmelCase   ,	_lowerCAmelCase):
					UpperCamelCase_		  =   initial_vectors
					for _ in range(_lowerCAmelCase):
										UpperCamelCase_		  =   iteration_step(_lowerCAmelCase)
					return vectors



def    _lowerCAmelCase    (_lowerCAmelCase):
					UpperCamelCase_		  =   []
					for i, start_vector in enumerate(vectors[:-1]):
										UpperCamelCase_		  =   vectors[i + 1]
										new_vectors.append(_lowerCAmelCase)
										UpperCamelCase_		  =   end_vector - start_vector
										new_vectors.append(start_vector + difference_vector / 3)
										new_vectors.append(
										    start_vector + difference_vector / 3 + rotate(difference_vector / 3   ,	60))
										new_vectors.append(start_vector + difference_vector * 2 / 3)
					new_vectors.append(vectors[-1])
					return new_vectors



def    _lowerCAmelCase    (_lowerCAmelCase   ,	_lowerCAmelCase):
					UpperCamelCase_		  =   numpy.radians(_lowerCAmelCase)
					UpperCamelCase_  ,    UpperCamelCase_		  =   numpy.cos(_lowerCAmelCase), numpy.sin(_lowerCAmelCase)
					UpperCamelCase_		  =   numpy.array(((c, -s), (s, c)))
					return numpy.dot(_lowerCAmelCase   ,	_lowerCAmelCase)



def    _lowerCAmelCase    (_lowerCAmelCase):
					UpperCamelCase_		  =   plt.gca()
					axes.set_aspect("equal")

					# matplotlib.pyplot.plot takes a list of all x-coordinates and a list of all
					# y-coordinates as inputs, which are constructed from the vector-list using
					# zip()
					UpperCamelCase_  ,    UpperCamelCase_		  =   zip(*_lowerCAmelCase)
					plt.plot(_lowerCAmelCase   ,	_lowerCAmelCase)
					plt.show()


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	UpperCAmelCase   :							Union[str, Any]							 =iterate(INITIAL_VECTORS, 5)
	plot(processed_vectors)





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


UpperCAmelCase   :							Union[str, Any]							 =logging.get_logger(__name__)

UpperCAmelCase   :							Dict							 ={"""ctrl""": """https://huggingface.co/ctrl/resolve/main/config.json"""}


class       _lowercase   (a_      ):
				'''simple docstring'''







				lowercase__   						=						"""ctrl"""
				lowercase__   						=						["""past_key_values"""]
				lowercase__   						=						{
				    """max_position_embeddings""": """n_positions""",
				    """hidden_size""": """n_embd""",
				    """num_attention_heads""": """n_head""",
				    """num_hidden_layers""": """n_layer""",
				}

				def __init__( self     , snake_case__=24_6534     , snake_case__=256     , snake_case__=1280     , snake_case__=8192     , snake_case__=48     , snake_case__=16     , snake_case__=0.1     , snake_case__=0.1     , snake_case__=1e-6     , snake_case__=0.02     , snake_case__=True     , **snake_case__     , ):

									'''simple docstring'''


									UpperCamelCase_		  =   vocab_size
									UpperCamelCase_		  =   n_positions
									UpperCamelCase_		  =   n_embd
									UpperCamelCase_		  =   n_layer
									UpperCamelCase_		  =   n_head
									UpperCamelCase_		  =   dff
									UpperCamelCase_		  =   resid_pdrop
									UpperCamelCase_		  =   embd_pdrop
									UpperCamelCase_		  =   layer_norm_epsilon
									UpperCamelCase_		  =   initializer_range

									UpperCamelCase_		  =   use_cache

									super().__init__(**snake_case__    )
