


import os
from typing import Optional

import fsspec
from fsspec.archive import AbstractArchiveFileSystem
from fsspec.utils import DEFAULT_BLOCK_SIZE

class   A__ (   snake_case__     ):







    """simple docstring"""

    __magic_name__        =		''
    __magic_name__        =		(
        None  # protocol passed in prefix to the url. ex: "gzip", for gzip://file.txt::http://foo.bar/file.txt.gz
    )
    __magic_name__        =		None  # compression type in fsspec. ex: "gzip"
    __magic_name__        =		None  # extension of the filename to strip. ex: "".gz" to get file.txt from file.txt.gz
    def __init__(	self      , __snake_case = ""      , __snake_case = None      , __snake_case = None      , **__snake_case   ):
         super().__init__(self      , **__snake_case   )
         # always open as "rb" since fsspec can then use the TextIOWrapper to make it work for "r" mode
         snake_case					=    fsspec.open(
             __snake_case      , mode='''rb'''      , protocol=__snake_case      , compression=self.compression      , client_kwargs={
                 '''requote_redirect_url''': False,  # see https://github.com/huggingface/datasets/pull/5459
                 '''trust_env''': True,  # Enable reading proxy env variables.
                 **(target_options or {}).pop('''client_kwargs'''      , {}   ),  # To avoid issues if it was already passed.
             }      , **(target_options or {})      , )
         snake_case					=    os.path.basename(self.file.path.split('''::'''   )[0]   )
         snake_case					=    (
             self.compressed_name[: self.compressed_name.rindex('''.'''   )]
             if '''.''' in self.compressed_name
             else self.compressed_name
         )
         snake_case					=    None
    @classmethod
    def 		a_      (	cls      , __snake_case   ):
         # compressed file paths are always relative to the archive root
         return super()._strip_protocol(__snake_case   ).lstrip('''/'''   )
    def 		a_      (	self   ):
         if self.dir_cache is None:
              snake_case					=    {**self.file.fs.info(self.file.path   ), '''name''': self.uncompressed_name}
              snake_case					=    {f['''name''']: f}
    def 		a_      (	self      , __snake_case   ):
         return self.file.open().read()




    def 		a_      (	self      , __snake_case      , __snake_case = "rb"      , __snake_case=None      , __snake_case=True      , __snake_case=None      , **__snake_case      , ):
         snake_case					=    self._strip_protocol(__snake_case   )
         if mode != "rb":
              raise ValueError(F'''Tried to read with mode {mode} on file {self.file.path} opened with mode \'rb\''''   )
         return self.file.open()






class   A__ (   snake_case__     ):







    """simple docstring"""

    __magic_name__        =		'bz2'
    __magic_name__        =		'bz2'
    __magic_name__        =		'.bz2'






class   A__ (   snake_case__     ):







    """simple docstring"""

    __magic_name__        =		'gzip'
    __magic_name__        =		'gzip'
    __magic_name__        =		'.gz'






class   A__ (   snake_case__     ):







    """simple docstring"""

    __magic_name__        =		'lz4'
    __magic_name__        =		'lz4'
    __magic_name__        =		'.lz4'






class   A__ (   snake_case__     ):







    """simple docstring"""

    __magic_name__        =		'xz'
    __magic_name__        =		'xz'
    __magic_name__        =		'.xz'






class   A__ (   snake_case__     ):







    """simple docstring"""

    __magic_name__        =		'zstd'
    __magic_name__        =		'zstd'
    __magic_name__        =		'.zst'
    def __init__(	self      , __snake_case      , __snake_case = "rb"      , __snake_case = None      , __snake_case = None      , __snake_case = DEFAULT_BLOCK_SIZE      , **__snake_case      , ):
         super().__init__(
             fo=__snake_case      , mode=__snake_case      , target_protocol=__snake_case      , target_options=__snake_case      , block_size=__snake_case      , **__snake_case      , )
         # We need to wrap the zstd decompressor to avoid this error in fsspec==2021.7.0 and zstandard==0.15.2:
         #
         # File "/Users/user/.virtualenvs/hf-datasets/lib/python3.7/site-packages/fsspec/core.py", line 145, in open
         #     out.close = close
         # AttributeError: 'zstd.ZstdDecompressionReader' object attribute 'close' is read-only
         #
         # see https://github.com/intake/filesystem_spec/issues/725
         snake_case					=    self.file.__enter__

         class   A__ :







             """simple docstring"""

             def __init__(	self      , __snake_case   ):
                  snake_case					=    file_
             def __enter__(	self   ):
                  self._file.__enter__()
                  return self
             def __exit__(	self      , *__snake_case      , **__snake_case   ):
                  self._file.__exit__(*__snake_case      , **__snake_case   )
             def __iter__(	self   ):
                  return iter(self._file   )
             def 		a_      (	self   ):
                  return next(self._file   )




             def __getattr__(	self      , __snake_case   ):
                  return getattr(self._file      , __snake_case   )

         def fixed_enter(*__snake_case      , **__snake_case   ):
              return WrappedFile(_enter(*__snake_case      , **__snake_case   )   )

         snake_case					=    fixed_enter








from __future__ import annotations

from scipy.special import comb  # type: ignore

class   A__ :







    """simple docstring"""

    def __init__(	self      , __snake_case   ):
         snake_case					=    list_of_points
         # Degree determines the flexibility of the curve.
         # Degree = 1 will produce a straight line.
         snake_case					=    len(__snake_case   ) - 1
    def 		a_      (	self      , __snake_case   ):
         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      , __snake_case   ) * ((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(__snake_case   )      , 5   ) == 1
         return output_values
    def 		a_      (	self      , __snake_case   ):
         assert 0 <= t <= 1, "Time t must be between 0 and 1."

         snake_case					=    self.basis_function(__snake_case   )
         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 		a_      (	self      , __snake_case = 0.01   ):
         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(__snake_case   )
              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(
             __snake_case      , __snake_case      , color='''blue'''      , label='''Curve of Degree ''' + str(self.degree   )      , )
         plt.scatter(__snake_case      , __snake_case      , 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




