




import os
import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_sentencepiece, require_tokenizers, require_torch, slow, torch_device


if is_torch_available():
						import torch

						from transformers import GPTaLMHeadModel



@require_torch
@require_sentencepiece
@require_tokenizers
class       lowercase_		(unittest.TestCase   ):



						@slow
						@unittest.skip('Model is not available.'     )
						def   __a				( self  :      int     ):

								"""simple docstring"""

								SCREAMING_SNAKE_CASE_							=       'nvidia/megatron-gpt2-345m/'
								if "MYDIR" in os.environ:
										SCREAMING_SNAKE_CASE_							=       os.path.join(os.environ['MYDIR']				,       SCREAMING_SNAKE_CASE_     )
								SCREAMING_SNAKE_CASE_							=       GPTaLMHeadModel.from_pretrained(SCREAMING_SNAKE_CASE_     )
								model.to(SCREAMING_SNAKE_CASE_     )
								model.half()

								SCREAMING_SNAKE_CASE_							=       torch.tensor(
								    [[1_01, 71_10, 10_05, 10_56, 20_23, 1_13_33, 1_74_13, 10_29, 1_02]]				,       device=SCREAMING_SNAKE_CASE_				,       dtype=torch.long				,       )

								with torch.no_grad():
										SCREAMING_SNAKE_CASE_							=       model(SCREAMING_SNAKE_CASE_     ).logits

								SCREAMING_SNAKE_CASE_							=       torch.Size((1, 9, 5_02_57)     )
								self.assertEqual(output.shape				,       SCREAMING_SNAKE_CASE_     )

								SCREAMING_SNAKE_CASE_							=       torch.tensor(
								    [
								        4.94_14,
								        -0.29_20,
								        -1.21_48,
								        -4.02_73,
								        -0.51_61,
								        -5.21_09,
								        -1.24_12,
								        -1.83_01,
								        -1.77_34,
								        -4.71_48,
								        -0.23_17,
								        -1.08_11,
								        -2.17_77,
								        0.41_41,
								        -3.79_69,
								        -4.05_86,
								        -2.53_32,
								        -3.38_09,
								        4.38_67,
								    ]				,       device=SCREAMING_SNAKE_CASE_				,       dtype=torch.half				,       )

								for i in range(19     ):
										SCREAMING_SNAKE_CASE_			,							SCREAMING_SNAKE_CASE_							=       8 * i // 17, 27_92 * i  # along the diagonal
										SCREAMING_SNAKE_CASE_			,							SCREAMING_SNAKE_CASE_							=       output[0, r, c], expected_diag[i]
										SCREAMING_SNAKE_CASE_							=       f'''row={r} col={c} computed={computed} expected={expected}'''
										self.assertAlmostEqual(SCREAMING_SNAKE_CASE_				,       SCREAMING_SNAKE_CASE_				,       delta=1e-4				,       msg=SCREAMING_SNAKE_CASE_     )











from __future__ import annotations


def 				_a       (				lowerCAmelCase   )->  list[int]:
		if not list_of_ints:
				return []

		if min(lowerCAmelCase   ) < 0:
				raise ValueError('All numbers must be positive'   )

		SCREAMING_SNAKE_CASE_							=       max(len(bin(lowerCAmelCase   )[2:]   ) for x in list_of_ints   )
		return _msd_radix_sort(lowerCAmelCase						,	lowerCAmelCase   )


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase   )->  list[int]:
		if bit_position == 0 or len(lowerCAmelCase   ) in [0, 1]:
				return list_of_ints

		SCREAMING_SNAKE_CASE_							=       []
		SCREAMING_SNAKE_CASE_							=       []
		# Split numbers based on bit at bit_position from the right
		for number in list_of_ints:
				if (number >> (bit_position - 1)) & 1:
						# number has a one at bit bit_position
						ones.append(lowerCAmelCase   )
				else:
						# number has a zero at bit bit_position
						zeros.append(lowerCAmelCase   )

    # recursively split both lists further
		SCREAMING_SNAKE_CASE_							=       _msd_radix_sort(lowerCAmelCase						,	bit_position - 1   )
		SCREAMING_SNAKE_CASE_							=       _msd_radix_sort(lowerCAmelCase						,	bit_position - 1   )

		# recombine lists
		SCREAMING_SNAKE_CASE_							=       zeros
		res.extend(lowerCAmelCase   )

		return res


def 				_a       (				lowerCAmelCase   )->  Dict:
		SCREAMING_SNAKE_CASE_							=       len(lowerCAmelCase   )
		if not list_of_ints or length == 1:
				return

		if min(lowerCAmelCase   ) < 0:
				raise ValueError('All numbers must be positive'   )

		SCREAMING_SNAKE_CASE_							=       max(len(bin(lowerCAmelCase   )[2:]   ) for x in list_of_ints   )
		_msd_radix_sort_inplace(lowerCAmelCase						,	lowerCAmelCase						,	0						,	lowerCAmelCase   )


def 				_a       (				lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase   )->  Optional[int]:
		if bit_position == 0 or end_index - begin_index <= 1:
				return

		bit_position -= 1

		SCREAMING_SNAKE_CASE_							=       begin_index
		SCREAMING_SNAKE_CASE_							=       end_index - 1
		while i <= j:
				SCREAMING_SNAKE_CASE_							=       False
				if not (list_of_ints[i] >> bit_position) & 1:
						# found zero at the beginning
						i += 1
						SCREAMING_SNAKE_CASE_							=       True
				if (list_of_ints[j] >> bit_position) & 1:
						# found one at the end
						j -= 1
						SCREAMING_SNAKE_CASE_							=       True

				if changed:
						continue

				SCREAMING_SNAKE_CASE_			,							SCREAMING_SNAKE_CASE_							=       list_of_ints[j], list_of_ints[i]
				j -= 1
				if j != i:
						i += 1

		_msd_radix_sort_inplace(lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase   )
		_msd_radix_sort_inplace(lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase						,	lowerCAmelCase   )


if __name__ == "__main__":
						import doctest

						doctest.testmod()