




lowerCAmelCase_					    = frozenset(
    [
        """prompt""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
        """cross_attention_kwargs""",
    ]
)

lowerCAmelCase_					    = frozenset(["""prompt""", """negative_prompt"""])

lowerCAmelCase_					    = frozenset([])

lowerCAmelCase_					    = frozenset(["""image"""])

lowerCAmelCase_					    = frozenset(
    [
        """image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

lowerCAmelCase_					    = frozenset(["""image"""])

lowerCAmelCase_					    = frozenset(
    [
        """prompt""",
        """image""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
    ]
)

lowerCAmelCase_					    = frozenset(["""prompt""", """image""", """negative_prompt"""])

lowerCAmelCase_					    = frozenset(
    [
        # Text guided image variation with an image mask
        """prompt""",
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
    ]
)

lowerCAmelCase_					    = frozenset(["""prompt""", """image""", """mask_image""", """negative_prompt"""])

lowerCAmelCase_					    = frozenset(
    [
        # image variation with an image mask
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

lowerCAmelCase_					    = frozenset(["""image""", """mask_image"""])

lowerCAmelCase_					    = frozenset(
    [
        """example_image""",
        """image""",
        """mask_image""",
        """height""",
        """width""",
        """guidance_scale""",
    ]
)

lowerCAmelCase_					    = frozenset(["""example_image""", """image""", """mask_image"""])

lowerCAmelCase_					    = frozenset(["""class_labels"""])

lowerCAmelCase_					    = frozenset(["""class_labels"""])

lowerCAmelCase_					    = frozenset(["""batch_size"""])

lowerCAmelCase_					    = frozenset([])

lowerCAmelCase_					    = frozenset(["""batch_size"""])

lowerCAmelCase_					    = frozenset([])

lowerCAmelCase_					    = frozenset(
    [
        """prompt""",
        """audio_length_in_s""",
        """guidance_scale""",
        """negative_prompt""",
        """prompt_embeds""",
        """negative_prompt_embeds""",
        """cross_attention_kwargs""",
    ]
)

lowerCAmelCase_					    = frozenset(["""prompt""", """negative_prompt"""])
lowerCAmelCase_					    = frozenset(["""input_tokens"""])

lowerCAmelCase_					    = frozenset(["""input_tokens"""])







import math



def      __lowerCAmelCase			(					UpperCamelCase	,      UpperCamelCase      )     ->	float:
  if (
      not isinstance(UpperCamelCase	,      (int, float)      )
      or power_factor < -1
      or power_factor > 1
  ):
    raise ValueError('''power_factor must be a valid float value between -1 and 1.'''      )
  return apparent_power * power_factor



def      __lowerCAmelCase			(					UpperCamelCase	,      UpperCamelCase      )     ->	float:
  if (
      not isinstance(UpperCamelCase	,      (int, float)      )
      or power_factor < -1
      or power_factor > 1
  ):
    raise ValueError('''power_factor must be a valid float value between -1 and 1.'''      )
  return apparent_power * math.sqrt(1 - power_factor**2      )


if __name__ == "__main__":
     import doctest

     doctest.testmod()

