
from __future__ import annotations

from scipy.special import comb  # type: ignore







class   lowerCamelCase	:





     def __init__(self   :					Optional[Any]       ,					_A   :					Tuple     )		->		int:
         snake_case				  =      list_of_points
         # Degree determines the flexibility of the curve.
         # Degree = 1 will produce a straight line.
         snake_case				  =      len(_A     ) - 1





     def 	UpperCAmelCase(self   :					Union[str, Any]       ,					_A   :					List[str]     )		->		int:
         assert 0 <= t <= 1, "Time t must be between 0 and 1."
         snake_case				  =      []
         for i in range(len(self.list_of_points     )     ):
             # basis function for each i
             output_values.append(
                 comb(self.degree       ,					_A     ) * ((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(_A     )       ,					5     ) == 1
         return output_values





     def 	UpperCAmelCase(self   :					str       ,					_A   :					List[Any]     )		->		str:
         assert 0 <= t <= 1, "Time t must be between 0 and 1."

         snake_case				  =      self.basis_function(_A     )
         snake_case				  =      0.0
         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 	UpperCAmelCase(self   :					Any       ,					_A   :					Tuple = 0.01     )		->		List[Any]:
         from matplotlib import pyplot as plt  # type: ignore

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

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

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

         plt.plot(
             _A       ,					_A       ,					color="blue"       ,					label="Curve of Degree " + str(self.degree     )       ,					)
         plt.scatter(_A       ,					_A       ,					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



import os
import unittest

from transformers.models.cpmant.tokenization_cpmant import VOCAB_FILES_NAMES, CpmAntTokenizer
from transformers.testing_utils import require_jieba, tooslow

from ...test_tokenization_common import TokenizerTesterMixin







@require_jieba
class   lowerCamelCase	(						A_							,				unittest.TestCase						):
     UpperCAmelCase__       :							Any     =	CpmAntTokenizer
     UpperCAmelCase__       :							Optional[Any]     =	False





     def 	UpperCAmelCase(self   :					Optional[Any]     )		->		Dict:
         super().setUp()

         snake_case				  =      [
             "<d>",
             "</d>",
             "<s>",
             "</s>",
             "</_>",
             "<unk>",
             "<pad>",
             "</n>",
             "我",
             "是",
             "C",
             "P",
             "M",
             "A",
             "n",
             "t",
         ]
         snake_case				  =      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]     )     )





     @tooslow
     def 	UpperCAmelCase(self   :					Optional[Any]     )		->		Optional[int]:
         snake_case				  =      CpmAntTokenizer.from_pretrained("openbmb/cpm-ant-10b"     )
         snake_case				  =      "今天天气真好！"
         snake_case				  =      ["今天", "天气", "真", "好", "！"]
         snake_case				  =      tokenizer.tokenize(_A     )
         self.assertListEqual(_A       ,					_A     )
         snake_case				  =      "今天天气真好！"
         snake_case				  =      [tokenizer.bos_token] + tokens

         snake_case				  =      [6, 9_8_0_2, 1_4_9_6_2, 2_0_8_2, 8_3_1, 2_4_4]
         self.assertListEqual(tokenizer.convert_tokens_to_ids(_A     )       ,					_A     )

         snake_case				  =      tokenizer.decode(_A     )
         self.assertEqual(_A       ,					_A     )

