


"""simple docstring"""






from __future__ import annotations

from scipy.special import comb  # type: ignore


class 			lowerCamelCase_		:





				"""simple docstring"""







				def __init__(						self       ,		UpperCAmelCase__     ):
								SCREAMING_SNAKE_CASE__     							=				list_of_points
								# Degree determines the flexibility of the curve.
								# Degree = 1 will produce a straight line.
								SCREAMING_SNAKE_CASE__     							=				len(UpperCAmelCase__     ) - 1



				def   lowerCAmelCase__		(						self       ,		UpperCAmelCase__     ):
								assert 0 <= t <= 1, "Time t must be between 0 and 1."
								SCREAMING_SNAKE_CASE__     							=				[]
								for i in range(len(self.list_of_points     )     ):
												# basis function for each i
												output_values.append(
												    comb(self.degree       ,		UpperCAmelCase__     ) * ((1 - t) ** (self.degree - i)) * (t**i)     )
								# the basis must sum up to 1 for it to produce a valid Bezier curve.
								assert round(sum(UpperCAmelCase__     )       ,		5     ) == 1
								return output_values



				def   lowerCAmelCase__		(						self       ,		UpperCAmelCase__     ):
								assert 0 <= t <= 1, "Time t must be between 0 and 1."

								SCREAMING_SNAKE_CASE__     							=				self.basis_function(UpperCAmelCase__     )
								SCREAMING_SNAKE_CASE__     							=				0.0
								SCREAMING_SNAKE_CASE__     							=				0.0
								for i in range(len(self.list_of_points     )     ):
												# For all points, sum up the product of i-th basis function and i-th point.
												x += basis_function[i] * self.list_of_points[i][0]
												y += basis_function[i] * self.list_of_points[i][1]
								return (x, y)






				def   lowerCAmelCase__		(						self       ,		UpperCAmelCase__ = 0.01     ):
								from matplotlib import pyplot as plt  # type: ignore

								SCREAMING_SNAKE_CASE__     							=				[]  # x coordinates of points to plot
								SCREAMING_SNAKE_CASE__     							=				[]  # y coordinates of points to plot

								SCREAMING_SNAKE_CASE__     							=				0.0
								while t <= 1:
												SCREAMING_SNAKE_CASE__     							=				self.bezier_curve_function(UpperCAmelCase__     )
												to_plot_x.append(value[0]     )
												to_plot_y.append(value[1]     )
												t += step_size

								SCREAMING_SNAKE_CASE__     							=				[i[0] for i in self.list_of_points]
								SCREAMING_SNAKE_CASE__     							=				[i[1] for i in self.list_of_points]

								plt.plot(
								    UpperCAmelCase__       ,		UpperCAmelCase__       ,		color="blue"       ,		label="Curve of Degree " + str(self.degree     )       ,		)
								plt.scatter(UpperCAmelCase__       ,		UpperCAmelCase__       ,		color="red"       ,		label="Control Points"     )
								plt.legend()
								plt.show()


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	BezierCurve([(1, 2), (3, 5)]).plot_curve()  # degree 1
	BezierCurve([(0, 0), (5, 5), (5, 0)]).plot_curve()  # degree 2
	BezierCurve([(0, 0), (5, 5), (5, 0), (2.5, -2.5)]).plot_curve()  # degree 3




"""simple docstring"""






import json
from typing import Iterator, List, Union

from tokenizers import AddedToken, Regex, Tokenizer, decoders, normalizers, pre_tokenizers, trainers
from tokenizers.implementations.base_tokenizer import BaseTokenizer
from tokenizers.models import Unigram
from tokenizers.processors import TemplateProcessing


class 			lowerCamelCase_		(			lowercase   ):





				"""simple docstring"""







				def __init__(						self       ,		UpperCAmelCase__ = "▁"       ,		UpperCAmelCase__ = True       ,		UpperCAmelCase__ = "<unk>"       ,		UpperCAmelCase__ = "</s>"       ,		UpperCAmelCase__ = "<pad>"       ,		):
								SCREAMING_SNAKE_CASE__     							=				{
								    "pad": {"id": 0, "token": pad_token},
								    "eos": {"id": 1, "token": eos_token},
								    "unk": {"id": 2, "token": unk_token},
								}

								SCREAMING_SNAKE_CASE__     							=				[None] * len(self.special_tokens     )
								for token_dict in self.special_tokens.values():
												SCREAMING_SNAKE_CASE__     							=				token_dict["token"]

								SCREAMING_SNAKE_CASE__     							=				Tokenizer(Unigram()     )

								SCREAMING_SNAKE_CASE__     							=				normalizers.Sequence(
								    [
								        normalizers.Nmt(),
								        normalizers.NFKC(),
								        normalizers.Replace(Regex(" {2,}"     )       ,		" "     ),
								        normalizers.Lowercase(),
								    ]     )
								SCREAMING_SNAKE_CASE__     							=				pre_tokenizers.Sequence(
								    [
								        pre_tokenizers.Metaspace(replacement=UpperCAmelCase__       ,		add_prefix_space=UpperCAmelCase__     ),
								        pre_tokenizers.Digits(individual_digits=UpperCAmelCase__     ),
								        pre_tokenizers.Punctuation(),
								    ]     )
								SCREAMING_SNAKE_CASE__     							=				decoders.Metaspace(replacement=UpperCAmelCase__       ,		add_prefix_space=UpperCAmelCase__     )

								SCREAMING_SNAKE_CASE__     							=				TemplateProcessing(
								    single=f'''$A {self.special_tokens["eos"]["token"]}'''       ,		special_tokens=[(self.special_tokens["eos"]["token"], self.special_tokens["eos"]["id"])]       ,		)

								SCREAMING_SNAKE_CASE__     							=				{
								    "model": "SentencePieceUnigram",
								    "replacement": replacement,
								    "add_prefix_space": add_prefix_space,
								}

								super().__init__(UpperCAmelCase__       ,		UpperCAmelCase__     )



				def   lowerCAmelCase__		(						self       ,		UpperCAmelCase__       ,		UpperCAmelCase__ = 8000       ,		UpperCAmelCase__ = True       ,		):
								SCREAMING_SNAKE_CASE__     							=				trainers.UnigramTrainer(
								    vocab_size=UpperCAmelCase__       ,		special_tokens=self.special_tokens_list       ,		show_progress=UpperCAmelCase__       ,		)

								if isinstance(UpperCAmelCase__       ,		UpperCAmelCase__     ):
												SCREAMING_SNAKE_CASE__     							=				[files]
								self._tokenizer.train(UpperCAmelCase__       ,		trainer=UpperCAmelCase__     )

								self.add_unk_id()



				def   lowerCAmelCase__		(						self       ,		UpperCAmelCase__       ,		UpperCAmelCase__ = 8000       ,		UpperCAmelCase__ = True       ,		):
								SCREAMING_SNAKE_CASE__     							=				trainers.UnigramTrainer(
								    vocab_size=UpperCAmelCase__       ,		special_tokens=self.special_tokens_list       ,		show_progress=UpperCAmelCase__       ,		)

								self._tokenizer.train_from_iterator(UpperCAmelCase__       ,		trainer=UpperCAmelCase__     )

								self.add_unk_id()






				def   lowerCAmelCase__		(						self     ):
								SCREAMING_SNAKE_CASE__     							=				json.loads(self._tokenizer.to_str()     )

								SCREAMING_SNAKE_CASE__     							=				self.special_tokens["unk"]["id"]

								SCREAMING_SNAKE_CASE__     							=				Tokenizer.from_str(json.dumps(UpperCAmelCase__     )     )
