






import random
from typing import List, Optional, Union

import numpy as np
import torch

from ..state import AcceleratorState
from .constants import CUDA_DISTRIBUTED_TYPES
from .dataclasses import DistributedType, RNGType
from .imports import is_npu_available, is_tpu_available, is_xpu_available


if is_tpu_available(check_device=False):
      import torch_xla.core.xla_model as xm





def 		A_			(		lowercase_					,       lowercase_ = False	)							->Union[str, Any]:







 """simple docstring"""

 if device_specific:
  seed += AcceleratorState().process_index
 random.seed(lowercase_	)
 np.random.seed(lowercase_	)
 torch.manual_seed(lowercase_	)
 if is_xpu_available():
  torch.xpu.manual_seed_all(lowercase_	)
 elif is_npu_available():
  torch.npu.manual_seed_all(lowercase_	)
 else:
  torch.cuda.manual_seed_all(lowercase_	)
 # ^^ safe to call this function even if cuda is not available
 if is_tpu_available():
  xm.set_rng_state(lowercase_	)





def 		A_			(		lowercase_ = None					,       lowercase_ = None	)							->Optional[Any]:







 """simple docstring"""

 if rng_type == RNGType.TORCH:
  SCREAMING_SNAKE_CASE							  =						torch.get_rng_state()
 elif rng_type == RNGType.CUDA:
  SCREAMING_SNAKE_CASE							  =						torch.cuda.get_rng_state()
 elif rng_type == RNGType.XLA:
  assert is_tpu_available(), "Can't synchronize XLA seeds on an environment without TPUs."
  SCREAMING_SNAKE_CASE							  =						torch.tensor(xm.get_rng_state()	)
 elif rng_type == RNGType.NPU:
  assert is_npu_available(), "Can't synchronize NPU seeds on an environment without NPUs."
  SCREAMING_SNAKE_CASE							  =						torch.npu.get_rng_state()
 elif rng_type == RNGType.XPU:
  assert is_xpu_available(), "Can't synchronize XPU seeds on an environment without XPUs."
  SCREAMING_SNAKE_CASE							  =						torch.xpu.get_rng_state()
 elif rng_type == RNGType.GENERATOR:
  assert generator is not None, "Need a generator to synchronize its seed."
  SCREAMING_SNAKE_CASE							  =						generator.get_state()

 # Broadcast the rng state from device 0 to other devices
 SCREAMING_SNAKE_CASE							  =						AcceleratorState()
 if state.distributed_type == DistributedType.TPU:
  SCREAMING_SNAKE_CASE							  =						rng_state.to(xm.xla_device()	)
  xm.collective_broadcast([rng_state]	)
  xm.mark_step()
  SCREAMING_SNAKE_CASE							  =						rng_state.cpu()
 elif (
     state.distributed_type in CUDA_DISTRIBUTED_TYPES
     or state.distributed_type == DistributedType.MULTI_NPU
     or state.distributed_type == DistributedType.MULTI_XPU
 ):
  SCREAMING_SNAKE_CASE							  =						rng_state.to(state.device	)
  torch.distributed.broadcast(lowercase_					,       0	)
  SCREAMING_SNAKE_CASE							  =						rng_state.cpu()
 elif state.distributed_type == DistributedType.MULTI_CPU:
  torch.distributed.broadcast(lowercase_					,       0	)

 # Set the broadcast rng state
 if rng_type == RNGType.TORCH:
  torch.set_rng_state(lowercase_	)
 elif rng_type == RNGType.CUDA:
  torch.cuda.set_rng_state(lowercase_	)
 elif rng_type == RNGType.NPU:
  torch.npu.set_rng_state(lowercase_	)
 elif rng_type == RNGType.XPU:
  torch.xpu.set_rng_state(lowercase_	)
 elif rng_type == RNGType.XLA:
  xm.set_rng_state(rng_state.item()	)
 elif rng_type == RNGType.GENERATOR:
  generator.set_state(lowercase_	)





def 		A_			(		lowercase_					,       lowercase_ = None	)							->str:







 """simple docstring"""

 for rng_type in rng_types:
  synchronize_rng_state(RNGType(lowercase_	)					,       generator=lowercase_	)












import math





def 		A_			(		lowercase_	)							->List[Any]:







 """simple docstring"""

 SCREAMING_SNAKE_CASE							  =						0
 if n % 2 == 0:
  count += 1
  while n % 2 == 0:
   SCREAMING_SNAKE_CASE							  =						int(n / 2	)
    # the n input value must be odd so that
    # we can skip one element (ie i += 2)

 SCREAMING_SNAKE_CASE							  =						3

 while i <= int(math.sqrt(lowercase_	)	):
  if n % i == 0:
   count += 1
   while n % i == 0:
    SCREAMING_SNAKE_CASE							  =						int(n / i	)
  SCREAMING_SNAKE_CASE							  =						i + 2

 # this condition checks the prime
 # number n is greater than 2

 if n > 2:
  count += 1
 return count


if __name__ == "__main__":
      __UpperCAmelCase      				=							5_1_2_4_2_1_8_3
      print(f'The number of distinct prime factors is/are {exact_prime_factor_count(n)}')
      print(f'The value of log(log(n)) is {math.log(math.log(n)):.4f}')




