"""simple docstring"""






import os
from argparse import ArgumentParser
from typing import List

import torch.utils.data

from datasets import Dataset, IterableDataset
from datasets.distributed import split_dataset_by_node


__lowerCAmelCase    :       List[str]					     =4
__lowerCAmelCase    :       Any					     =3





class  _A						(       lowerCAmelCase	):
      pass






def 			UpperCAmelCase__       (				lowerCAmelCase__     :List[str]		) ->    Tuple:
      '''simple docstring'''


      for shard in shards:
            for i in range(lowerCAmelCase__		):
                  yield {"i": i, "shard": shard}


def 			UpperCAmelCase__       (				) ->    List[str]:
      '''simple docstring'''


      lowercase														=	int(os.environ["""RANK"""]		)
      lowercase														=	int(os.environ["""WORLD_SIZE"""]		)

      lowercase														=	ArgumentParser()
      parser.add_argument("""--streaming"""					,		type=lowerCAmelCase__		)
      parser.add_argument("""--local_rank"""					,		type=lowerCAmelCase__		)
      parser.add_argument("""--num_workers"""					,		type=lowerCAmelCase__					,		default=0		)
      lowercase														=	parser.parse_args()
      lowercase														=	args.streaming
      lowercase														=	args.num_workers

      lowercase														=	{"""shards""": [f'shard_{shard_idx}' for shard_idx in range(lowerCAmelCase__		)]}
      lowercase														=	IterableDataset.from_generator(lowerCAmelCase__					,		gen_kwargs=lowerCAmelCase__		)
      if not streaming:
            lowercase														=	Dataset.from_list(list(lowerCAmelCase__		)		)

      lowercase														=	split_dataset_by_node(lowerCAmelCase__					,		rank=lowerCAmelCase__					,		world_size=lowerCAmelCase__		)
      lowercase														=	torch.utils.data.DataLoader(lowerCAmelCase__					,		num_workers=lowerCAmelCase__		)

      lowercase														=	NUM_SHARDS * NUM_ITEMS_PER_SHARD
      lowercase														=	full_size // world_size
      expected_local_size += int(rank < (full_size % world_size)		)

      lowercase														=	sum(1 for _ in dataloader		)
      if local_size != expected_local_size:
            raise FailedTestError(f'local_size {local_size} != expected_local_size {expected_local_size}'		)


if __name__ == "__main__":
       main()




"""simple docstring"""






from __future__ import annotations

from scipy.special import comb  # type: ignore





class  _A						:

      def __init__(						self		,       __lowerCAmelCase						):







            """simple docstring"""



            lowercase														=	list_of_points
            # Degree determines the flexibility of the curve.
            # Degree = 1 will produce a straight line.
            lowercase														=	len(__lowerCAmelCase						) - 1

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            assert 0 <= t <= 1, "Time t must be between 0 and 1."
            lowercase														=	[]
            for i in range(len(self.list_of_points						)						):
                  # basis function for each i
                  output_values.append(
                      comb(self.degree		,       __lowerCAmelCase						) * ((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(__lowerCAmelCase						)		,       5						) == 1
            return output_values

      def 				A__       (						self		,       __lowerCAmelCase						):







            """simple docstring"""



            assert 0 <= t <= 1, "Time t must be between 0 and 1."

            lowercase														=	self.basis_function(__lowerCAmelCase						)
            lowercase														=	0.0
            lowercase														=	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		,       __lowerCAmelCase = 0.0_1						):







            """simple docstring"""



            from matplotlib import pyplot as plt  # type: ignore

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

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

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

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



