
'''simple docstring'''

from __future__ import annotations

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

# initial triangle of Koch snowflake
_UpperCAmelCase :   Optional[int]			    =	numpy.array([0, 0])
_UpperCAmelCase :   Optional[int]			    =	numpy.array([0.5, 0.866_0254])
_UpperCAmelCase :   int			    =	numpy.array([1, 0])
_UpperCAmelCase :   List[Any]			    =	[VECTOR_1, VECTOR_2, VECTOR_3, VECTOR_1]







def     snake_case__						(   UpperCamelCase      ,UpperCamelCase						)			->   list[numpy.ndarray]:
		_UpperCamelCase							:			Union[str, Any]     =   initial_vectors
		for _ in range(_A						):
				_UpperCamelCase							:			str     =   iteration_step(_A						)
		return vectors







def     snake_case__						(   UpperCamelCase						)			->   list[numpy.ndarray]:
		_UpperCamelCase							:			int     =   []
		for i, start_vector in enumerate(vectors[:-1]						):
				_UpperCamelCase							:			List[Any]     =   vectors[i + 1]
				new_vectors.append(_A						)
				_UpperCamelCase							:			List[Any]     =   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     snake_case__						(   UpperCamelCase      ,UpperCamelCase						)			->   numpy.ndarray:
		_UpperCamelCase							:			int     =   numpy.radians(_A						)
		_UpperCamelCase,				_UpperCamelCase							:			List[Any]     =   numpy.cos(_A						), numpy.sin(_A						)
		_UpperCamelCase							:			Any     =   numpy.array(((c, -s), (s, c))						)
		return numpy.dot(_A      ,_A						)







def     snake_case__						(   UpperCamelCase						)			->   None:
		_UpperCamelCase							:			Optional[Any]     =   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							:			Dict     =   zip(*_A						)
		plt.plot(_A      ,_A						)
		plt.show()


if __name__ == "__main__":
	import doctest

	doctest.testmod()

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






'''simple docstring'''




import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_torch


if is_torch_available():
						import torch

						from transformers.generation import DisjunctiveConstraint






@require_torch
class 							a__(   unittest.TestCase      ):


			'''simple docstring'''






			def 				a_			(  self):




					"""simple docstring"""


					lowerCAmelCase     =    [[1, 2, 4], [1, 2, 3, 4]]
					lowerCAmelCase     =    DisjunctiveConstraint(__lowerCAmelCase)
					self.assertTrue(isinstance(dc.token_ids			,       __lowerCAmelCase))

					with self.assertRaises(__lowerCAmelCase):
							DisjunctiveConstraint(torch.LongTensor([[1, 2, 4], [1, 2, 3]]))

					with self.assertRaises(__lowerCAmelCase):
							DisjunctiveConstraint([torch.LongTensor([1, 2, 4]), torch.LongTensor([1, 2, 3, 4, 5])])



			def 				a_			(  self):




					"""simple docstring"""


					lowerCAmelCase     =    [[1, 2], [1, 2, 3, 4]]

					with self.assertRaises(__lowerCAmelCase):
							DisjunctiveConstraint(__lowerCAmelCase)  # fails here



			def 				a_			(  self):




					"""simple docstring"""


					lowerCAmelCase     =    [[1, 2, 3], [1, 2, 4]]

					lowerCAmelCase     =    DisjunctiveConstraint(__lowerCAmelCase)

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(1)
					lowerCAmelCase     =    stepped is True and completed is False and reset is False
					self.assertTrue(__lowerCAmelCase)
					self.assertTrue(not dc.completed)
					self.assertTrue(dc.current_seq == [1])

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(2)
					lowerCAmelCase     =    stepped is True and completed is False and reset is False
					self.assertTrue(__lowerCAmelCase)
					self.assertTrue(not dc.completed)
					self.assertTrue(dc.current_seq == [1, 2])

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(3)
					lowerCAmelCase     =    stepped is True and completed is True and reset is False
					self.assertTrue(__lowerCAmelCase)
					self.assertTrue(dc.completed)  # Completed!
					self.assertTrue(dc.current_seq == [1, 2, 3])







			def 				a_			(  self):




					"""simple docstring"""


					lowerCAmelCase     =    [[1, 2, 3], [1, 2, 4, 5], [1, 2, 5]]

					lowerCAmelCase     =    DisjunctiveConstraint(__lowerCAmelCase)

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(1)
					self.assertTrue(not dc.completed)
					self.assertTrue(dc.current_seq == [1])

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(2)
					self.assertTrue(not dc.completed)
					self.assertTrue(dc.current_seq == [1, 2])

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(4)
					self.assertTrue(not dc.completed)
					self.assertTrue(dc.current_seq == [1, 2, 4])

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(5)
					self.assertTrue(dc.completed)  # Completed!
					self.assertTrue(dc.current_seq == [1, 2, 4, 5])

					dc.reset()

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(1)
					self.assertTrue(not dc.completed)
					self.assertTrue(dc.remaining() == 3)
					self.assertTrue(dc.current_seq == [1])

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(2)
					self.assertTrue(not dc.completed)
					self.assertTrue(dc.remaining() == 2)
					self.assertTrue(dc.current_seq == [1, 2])

					lowerCAmelCase   ,	lowerCAmelCase   ,	lowerCAmelCase     =    dc.update(5)
					self.assertTrue(dc.completed)  # Completed!
					self.assertTrue(dc.remaining() == 0)
					self.assertTrue(dc.current_seq == [1, 2, 5])




