



"""simple docstring"""
from __future__ import annotations

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

# initial triangle of Koch snowflake
__SCREAMING_SNAKE_CASE	:    Tuple     				=   numpy.array([0, 0])
__SCREAMING_SNAKE_CASE	:    List[str]     				=   numpy.array([0.5, 0.866_0254])
__SCREAMING_SNAKE_CASE	:    Tuple     				=   numpy.array([1, 0])
__SCREAMING_SNAKE_CASE	:    str     				=   [VECTOR_1, VECTOR_2, VECTOR_3, VECTOR_1]



def 							lowerCAmelCase_( lowercase_  :				list[numpy.ndarray]    , lowercase_  :				int				)						->							list[numpy.ndarray]:
				_lowerCamelCase   	=					initial_vectors
				for _ in range(__a				):
								_lowerCamelCase   	=					iteration_step(__a				)
				return vectors



def 							lowerCAmelCase_( lowercase_  :				list[numpy.ndarray]				)						->							list[numpy.ndarray]:
				_lowerCamelCase   	=					[]
				for i, start_vector in enumerate(vectors[:-1]				):
								_lowerCamelCase   	=					vectors[i + 1]
								new_vectors.append(__a				)
								_lowerCamelCase   	=					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_( lowercase_  :				numpy.ndarray    , lowercase_  :				float				)						->							numpy.ndarray:
				_lowerCamelCase   	=					numpy.radians(__a				)
				_lowerCamelCase   	=					numpy.cos(__a				), numpy.sin(__a				)
				_lowerCamelCase   	=					numpy.array(((c, -s), (s, c))				)
				return numpy.dot(__a    , __a				)



def 							lowerCAmelCase_( lowercase_  :				list[numpy.ndarray]				)						->							None:
				_lowerCamelCase   	=					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()
				_lowerCamelCase   	=					zip(*__a				)
				plt.plot(__a    , __a				)
				plt.show()


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			__SCREAMING_SNAKE_CASE	:    Tuple     				=   iterate(INITIAL_VECTORS, 5)
			plot(processed_vectors)



import os
import unittest

from transformers import LxmertTokenizer, LxmertTokenizerFast
from transformers.models.bert.tokenization_bert import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin

@require_tokenizers
class 							UpperCAmelCase_						(     __lowercase							,			unittest.TestCase  ):
							"""simple docstring"""







							UpperCAmelCase__			:		Any             =       LxmertTokenizer
							UpperCAmelCase__			:		Optional[Any]             =       LxmertTokenizerFast
							UpperCAmelCase__			:		Any             =       True
							UpperCAmelCase__			:		Dict             =       True


							def 							__lowercase							(     self			)       ->       Union[str, Any]:
												super().setUp()

												_a      :       int   =						[
												    '''[UNK]''',
												    '''[CLS]''',
												    '''[SEP]''',
												    '''want''',
												    '''##want''',
												    '''##ed''',
												    '''wa''',
												    '''un''',
												    '''runn''',
												    '''##ing''',
												    ''',''',
												    '''low''',
												    '''lowest''',
												]
												_a      :       Any   =						os.path.join(self.tmpdirname			,				VOCAB_FILES_NAMES['''vocab_file''']			)
												with open(self.vocab_file			,				'''w'''			,				encoding='''utf-8'''			) as vocab_writer:
																	vocab_writer.write(''''''.join([x + '''\n''' for x in vocab_tokens]			)			)


							def 							__lowercase							(     self			,				_a			)       ->       List[str]:
												_a      :       Tuple   =						'''UNwant\u00E9d,running'''
												_a      :       str   =						'''unwanted, running'''
												return input_text, output_text


							def 							__lowercase							(     self			)       ->       List[Any]:
												_a      :       str   =						self.tokenizer_class(self.vocab_file			)

												_a      :       str   =						tokenizer.tokenize('''UNwant\u00E9d,running'''			)
												self.assertListEqual(_a			,				['''un''', '''##want''', '''##ed''', ''',''', '''runn''', '''##ing''']			)
												self.assertListEqual(tokenizer.convert_tokens_to_ids(_a			)			,				[7, 4, 5, 1_0, 8, 9]			)




							def 							__lowercase							(     self			)       ->       List[Any]:
												if not self.test_rust_tokenizer:
																	return

												_a      :       Optional[Any]   =						self.get_tokenizer()
												_a      :       str   =						self.get_rust_tokenizer()

												_a      :       Optional[Any]   =						'''I was born in 92000, and this is falsé.'''

												_a      :       Optional[Any]   =						tokenizer.tokenize(_a			)
												_a      :       List[Any]   =						rust_tokenizer.tokenize(_a			)
												self.assertListEqual(_a			,				_a			)

												_a      :       List[Any]   =						tokenizer.encode(_a			,				add_special_tokens=_a			)
												_a      :       Any   =						rust_tokenizer.encode(_a			,				add_special_tokens=_a			)
												self.assertListEqual(_a			,				_a			)

												_a      :       Dict   =						self.get_rust_tokenizer()
												_a      :       Optional[int]   =						tokenizer.encode(_a			)
												_a      :       Dict   =						rust_tokenizer.encode(_a			)
												self.assertListEqual(_a			,				_a			)



