

'''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
lowerCAmelCase_							=	object()

# For specifying empty leaf dict `{}`
lowerCAmelCase_							=	object()
def       A__	(							A  :     str							,       A  :     Optional[int]):


			'''simple docstring'''


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


			'''simple docstring'''


			def replace(A  :     Optional[int]							,       A  :     Dict):
						for rule, replacement in rules:
									if _match(_lowercase							,       _lowercase):
												return replacement
						return val

			return replace
def       A__	(							):


			'''simple docstring'''


			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       A__	(							A  :     Optional[Any]):


			'''simple docstring'''


			UpperCamelCase				:	Any    						=					_get_partition_rules()
			UpperCamelCase				:	List[str]    						=					_replacement_rules(_lowercase)
			UpperCamelCase				:	Dict    						=					{k: _unmatched for k in flatten_dict(_lowercase)}
			UpperCamelCase				:	Optional[Any]    						=					{k: replace(_lowercase							,       _lowercase) for k, v in initd.items()}
			assert _unmatched not in result.values(), "Incomplete partition spec."
			return freeze(unflatten_dict(_lowercase))






from __future__ import annotations

import math

__a							     =					'2020.9.26'
__a							     =					'xcodz-dot, cclaus, dhruvmanila'







def lowerCamelCase__  (     _lowercase					,		_lowercase					,		_lowercase					,		_lowercase					,		_lowercase ):

     '''simple docstring'''


     if not all(isinstance(_lowercase					,		(float, int) ) for val in locals().values() ):
          UpperCAmelCase_     :				Optional[int]  =     f'''Input values must either be float or int: {list(locals().values() )}'''
          raise TypeError(_lowercase )
     UpperCAmelCase_     :				Tuple  =     ((x * distance) / (z + distance)) * scale
     UpperCAmelCase_     :				str  =     ((y * distance) / (z + distance)) * scale
     return projected_x, projected_y







def lowerCamelCase__  (     _lowercase					,		_lowercase					,		_lowercase					,		_lowercase					,		_lowercase ):

     '''simple docstring'''


     if not isinstance(_lowercase					,		_lowercase ):
          raise TypeError('''Axis must be a str''' )
     UpperCAmelCase_     :				Optional[Any]  =     locals()
     del input_variables["axis"]
     if not all(isinstance(_lowercase					,		(float, int) ) for val in input_variables.values() ):
          UpperCAmelCase_     :				List[Any]  =     (
              '''Input values except axis must either be float or int: '''
              f'''{list(input_variables.values() )}'''
          )
          raise TypeError(_lowercase )
     UpperCAmelCase_     :				Dict  =     (angle % 360) / 450 * 180 / math.pi
     if axis == "z":
          UpperCAmelCase_     :				Optional[int]  =     x * math.cos(_lowercase ) - y * math.sin(_lowercase )
          UpperCAmelCase_     :				List[Any]  =     y * math.cos(_lowercase ) + x * math.sin(_lowercase )
          UpperCAmelCase_     :				Optional[int]  =     z
     elif axis == "x":
          UpperCAmelCase_     :				Any  =     y * math.cos(_lowercase ) - z * math.sin(_lowercase )
          UpperCAmelCase_     :				int  =     z * math.cos(_lowercase ) + y * math.sin(_lowercase )
          UpperCAmelCase_     :				Dict  =     x
     elif axis == "y":
          UpperCAmelCase_     :				Union[str, Any]  =     x * math.cos(_lowercase ) - z * math.sin(_lowercase )
          UpperCAmelCase_     :				Optional[int]  =     z * math.cos(_lowercase ) + x * math.sin(_lowercase )
          UpperCAmelCase_     :				Optional[int]  =     y
     else:
          raise ValueError('''not a valid axis, choose one of \'x\', \'y\', \'z\'''' )

     return new_x, new_y, new_z


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     print(F"""{convert_to_ad(1.0, 2.0, 3.0, 10.0, 10.0) = }""")
     print(F"""{rotate(1.0, 2.0, 3.0, "y", 90.0) = }""")