




"""simple docstring"""



def   _SCREAMING_SNAKE_CASE       (							lowercase_						)						->		tuple[int, int]:
 try:
  A__	=    float(lowercase_						)
 except ValueError:
  raise ValueError("Please enter a valid number"						)
 A__	=    decimal - int(lowercase_						)
 if fractional_part == 0:
  return int(lowercase_						), 1
 else:
  A__	=    len(str(lowercase_						).split("."						)[1]						)
  A__	=    int(decimal * (10**number_of_frac_digits)						)
  A__	=    10**number_of_frac_digits
  A__,				A__	=    denominator, numerator
  while True:
   A__	=    dividend % divisor
   if remainder == 0:
    break
   A__,				A__	=    divisor, remainder
  A__,				A__	=    numerator / divisor, denominator / divisor
  return int(lowercase_						), int(lowercase_						)


if __name__ == "__main__":
      print(f'{decimal_to_fraction(2) = }')
      print(f'{decimal_to_fraction(89.0) = }')
      print(f'{decimal_to_fraction("67") = }')
      print(f'{decimal_to_fraction("45.0") = }')
      print(f'{decimal_to_fraction(1.5) = }')
      print(f'{decimal_to_fraction("6.25") = }')
      print(f'{decimal_to_fraction("78td") = }')











"""simple docstring"""



import re

from flax.core.frozen_dict import freeze
from flax.traverse_util import flatten_dict, unflatten_dict
from jax.experimental import PartitionSpec as P


# Sentinels
SCREAMING_SNAKE_CASE    =	object()

# For specifying empty leaf dict `{}`
SCREAMING_SNAKE_CASE    =	object()







def   _SCREAMING_SNAKE_CASE       (							lowercase_      ,			lowercase_						)						->		List[Any]:
 A__	=    tuple((re.compile(x + "$"						) for x in qs)						)
 for i in range(len(lowercase_						) - len(lowercase_						) + 1						):
  A__	=    [x.match(lowercase_						) for x, y in zip(lowercase_      ,			ks[i:]						)]
  if matches and all(lowercase_						):
   return True
 return False







def   _SCREAMING_SNAKE_CASE       (							lowercase_						)						->		Optional[int]:
 def replace(lowercase_      ,			lowercase_						):
  for rule, replacement in rules:
   if _match(lowercase_      ,			lowercase_						):
    return replacement
  return val

 return replace







def   _SCREAMING_SNAKE_CASE       (							)						->		List[str]:
 return [
     # embeddings
     (("transformer", "wpe", "embedding"), P("mp"      ,			lowercase_						)),
     (("transformer", "wte", "embedding"), P("mp"      ,			lowercase_						)),
     # atention
     (("attention", "(q_proj|k_proj|v_proj)", "kernel"), P(lowercase_      ,			"mp"						)),
     (("attention", "out_proj", "kernel"), P("mp"      ,			lowercase_						)),
     (("attention", "out_proj", "bias"), None),
     # mlp
     (("mlp", "c_fc", "kernel"), P(lowercase_      ,			"mp"						)),
     (("mlp", "c_fc", "bias"), P("mp"						)),
     (("mlp", "c_proj", "kernel"), P("mp"      ,			lowercase_						)),
     (("mlp", "c_proj", "bias"), None),
     # layer norms
     ((r"ln_\d+", "bias"), None),
     ((r"\d+", r"ln_\d+", "scale"), None),
     (("ln_f", "bias"), None),
     (("ln_f", "scale"), None),
 ]







def   _SCREAMING_SNAKE_CASE       (							lowercase_						)						->		int:
 A__	=    _get_partition_rules()
 A__	=    _replacement_rules(lowercase_						)
 A__	=    {k: _unmatched for k in flatten_dict(lowercase_						)}
 A__	=    {k: replace(lowercase_      ,			lowercase_						) for k, v in initd.items()}
 assert _unmatched not in result.values(), "Incomplete partition spec."
 return freeze(unflatten_dict(lowercase_						)						)





