


'''simple docstring'''






from __future__ import annotations

import math

__A   :    Optional[Any]											= "2020.9.26"
__A   :    Optional[int]											= "xcodz-dot, cclaus, dhruvmanila"







def 							UpperCamelCase_     (       A__   :  float				,       A__   :  float				,       A__   :  float				,       A__   :  float				,       A__   :  float   ):
  '''simple docstring'''





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







def 							UpperCamelCase_     (       A__   :  float				,       A__   :  float				,       A__   :  float				,       A__   :  str				,       A__   :  float   ):
  '''simple docstring'''





  if not isinstance(A__				,       A__   ):
    raise TypeError("""Axis must be a str"""   )
  lowerCAmelCase_     : Dict     =  locals()
  del input_variables["axis"]
  if not all(isinstance(A__				,       (float, int)   ) for val in input_variables.values()   ):
    lowerCAmelCase_     : Union[str, Any]     =  (
        """Input values except axis must either be float or int: """
        f'{list(input_variables.values()   )}'
    )
    raise TypeError(A__   )
  lowerCAmelCase_     : Dict     =  (angle % 3_60) / 4_50 * 1_80 / math.pi
  if axis == "z":
    lowerCAmelCase_     : Optional[Any]     =  x * math.cos(A__   ) - y * math.sin(A__   )
    lowerCAmelCase_     : Tuple     =  y * math.cos(A__   ) + x * math.sin(A__   )
    lowerCAmelCase_     : List[Any]     =  z
  elif axis == "x":
    lowerCAmelCase_     : Optional[int]     =  y * math.cos(A__   ) - z * math.sin(A__   )
    lowerCAmelCase_     : Union[str, Any]     =  z * math.cos(A__   ) + y * math.sin(A__   )
    lowerCAmelCase_     : Union[str, Any]     =  x
  elif axis == "y":
    lowerCAmelCase_     : Tuple     =  x * math.cos(A__   ) - z * math.sin(A__   )
    lowerCAmelCase_     : str     =  z * math.cos(A__   ) + x * math.sin(A__   )
    lowerCAmelCase_     : Optional[Any]     =  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, 1_0.0, 1_0.0) = }''')
  print(F'''{rotate(1.0, 2.0, 3.0, 'y', 9_0.0) = }''')







'''simple docstring'''






from ...utils import is_torch_available, is_transformers_available


if is_transformers_available() and is_torch_available():
  from .pipeline_vq_diffusion import LearnedClassifierFreeSamplingEmbeddings, VQDiffusionPipeline



