





'''simple docstring'''




from typing import Any





def 	__lowerCamelCase			(      __lowerCAmelCase       :							list      ,    __lowerCAmelCase       :							list      ,    __lowerCAmelCase       :							dict      ,    __lowerCAmelCase       :							dict      ,    __lowerCAmelCase       :							dict      ,    )		->  list:
   _validation(
       __lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase      ,    )
   # Creates data structures and fill initial step
   snake_case 						=   {}
   snake_case 						=   {}
   for state in states_space:
      snake_case 						=   observations_space[0]
      snake_case 						=   (
          initial_probabilities[state] * emission_probabilities[state][observation]
      )
      snake_case 						=   None

   # Fills the data structure with the probabilities of
   # different transitions and pointers to previous states
   for o in range(1      ,    len(__lowerCAmelCase		)		):
      snake_case 						=   observations_space[o]
      snake_case 						=   observations_space[o - 1]
      for state in states_space:
         # Calculates the argmax for probability function
         snake_case 						=   """"""
         snake_case 						=   -1
         for k_state in states_space:
            snake_case 						=   (
                probabilities[(k_state, prior_observation)]
                * transition_probabilities[k_state][state]
                * emission_probabilities[state][observation]
            )
            if probability > max_probability:
               snake_case 						=   probability
               snake_case 						=   k_state

            # Update probabilities and pointers dicts
         snake_case 						=   (
             probabilities[(arg_max, prior_observation)]
             * transition_probabilities[arg_max][state]
             * emission_probabilities[state][observation]
         )

         snake_case 						=   arg_max

    # The final observation
   snake_case 						=   observations_space[len(__lowerCAmelCase		) - 1]

   # argmax for given final observation
   snake_case 						=   """"""
   snake_case 						=   -1
   for k_state in states_space:
      snake_case 						=   probabilities[(k_state, final_observation)]
      if probability > max_probability:
         snake_case 						=   probability
         snake_case 						=   k_state
   snake_case 						=   arg_max

   # Process pointers backwards
   snake_case 						=   last_state
   snake_case 						=   []
   for o in range(len(__lowerCAmelCase		) - 1      ,    -1      ,    -1		):
      result.append(__lowerCAmelCase		)
      snake_case 						=   pointers[previous, observations_space[o]]
   result.reverse()

   return result





def 	__lowerCamelCase			(      __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    )		->  None:
   _validate_not_empty(
       __lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase      ,    )
   _validate_lists(__lowerCAmelCase      ,    __lowerCAmelCase		)
   _validate_dicts(
       __lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase		)





def 	__lowerCamelCase			(      __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    )		->  None:
   if not all(
       [
           observations_space,
           states_space,
           initial_probabilities,
           transition_probabilities,
           emission_probabilities,
       ]		):
      raise ValueError("""There's an empty parameter"""		)





def 	__lowerCamelCase			(      __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any		)		->  None:
   _validate_list(__lowerCAmelCase      ,    """observations_space"""		)
   _validate_list(__lowerCAmelCase      ,    """states_space"""		)





def 	__lowerCamelCase			(      __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							str		)		->  None:
   if not isinstance(_object      ,    __lowerCAmelCase		):
      snake_case 						=   F'''{var_name} must be a list'''
      raise ValueError(__lowerCAmelCase		)
   else:
      for x in _object:
         if not isinstance(__lowerCAmelCase      ,    __lowerCAmelCase		):
            snake_case 						=   F'''{var_name} must be a list of strings'''
            raise ValueError(__lowerCAmelCase		)





def 	__lowerCamelCase			(      __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							Any      ,    )		->  None:
   _validate_dict(__lowerCAmelCase      ,    """initial_probabilities"""      ,    __lowerCAmelCase		)
   _validate_nested_dict(__lowerCAmelCase      ,    """transition_probabilities"""		)
   _validate_nested_dict(__lowerCAmelCase      ,    """emission_probabilities"""		)





def 	__lowerCamelCase			(      __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							str		)		->  None:
   _validate_dict(_object      ,    __lowerCAmelCase      ,    __lowerCAmelCase		)
   for x in _object.values():
      _validate_dict(__lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase      ,    __lowerCAmelCase		)





def 	__lowerCamelCase			(      __lowerCAmelCase       :							Any      ,    __lowerCAmelCase       :							str      ,    __lowerCAmelCase       :							type      ,    __lowerCAmelCase       :							bool = False		)		->  None:
   if not isinstance(_object      ,    __lowerCAmelCase		):
      snake_case 						=   F'''{var_name} must be a dict'''
      raise ValueError(__lowerCAmelCase		)
   if not all(isinstance(__lowerCAmelCase      ,    __lowerCAmelCase		) for x in _object		):
      snake_case 						=   F'''{var_name} all keys must be strings'''
      raise ValueError(__lowerCAmelCase		)
   if not all(isinstance(__lowerCAmelCase      ,    __lowerCAmelCase		) for x in _object.values()		):
      snake_case 						=   """nested dictionary """ if nested else """"""
      snake_case 						=   F'''{var_name} {nested_text}all values must be {value_type.__name__}'''
      raise ValueError(__lowerCAmelCase		)


if __name__ == "__main__":
 from doctest import testmod

 testmod()








'''simple docstring'''




from ..utils import (
    OptionalDependencyNotAvailable,
    is_flax_available,
    is_scipy_available,
    is_torch_available,
    is_torchsde_available,
)


try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 from ..utils.dummy_pt_objects import *  # noqa F403
else:
 from .scheduling_consistency_models import CMStochasticIterativeScheduler
 from .scheduling_ddim import DDIMScheduler
 from .scheduling_ddim_inverse import DDIMInverseScheduler
 from .scheduling_ddim_parallel import DDIMParallelScheduler
 from .scheduling_ddpm import DDPMScheduler
 from .scheduling_ddpm_parallel import DDPMParallelScheduler
 from .scheduling_deis_multistep import DEISMultistepScheduler
 from .scheduling_dpmsolver_multistep import DPMSolverMultistepScheduler
 from .scheduling_dpmsolver_multistep_inverse import DPMSolverMultistepInverseScheduler
 from .scheduling_dpmsolver_singlestep import DPMSolverSinglestepScheduler
 from .scheduling_euler_ancestral_discrete import EulerAncestralDiscreteScheduler
 from .scheduling_euler_discrete import EulerDiscreteScheduler
 from .scheduling_heun_discrete import HeunDiscreteScheduler
 from .scheduling_ipndm import IPNDMScheduler
 from .scheduling_k_dpm_2_ancestral_discrete import KDPMaAncestralDiscreteScheduler
 from .scheduling_k_dpm_2_discrete import KDPMaDiscreteScheduler
 from .scheduling_karras_ve import KarrasVeScheduler
 from .scheduling_pndm import PNDMScheduler
 from .scheduling_repaint import RePaintScheduler
 from .scheduling_sde_ve import ScoreSdeVeScheduler
 from .scheduling_sde_vp import ScoreSdeVpScheduler
 from .scheduling_unclip import UnCLIPScheduler
 from .scheduling_unipc_multistep import UniPCMultistepScheduler
 from .scheduling_utils import KarrasDiffusionSchedulers, SchedulerMixin
 from .scheduling_vq_diffusion import VQDiffusionScheduler

try:
 if not is_flax_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 from ..utils.dummy_flax_objects import *  # noqa F403
else:
 from .scheduling_ddim_flax import FlaxDDIMScheduler
 from .scheduling_ddpm_flax import FlaxDDPMScheduler
 from .scheduling_dpmsolver_multistep_flax import FlaxDPMSolverMultistepScheduler
 from .scheduling_karras_ve_flax import FlaxKarrasVeScheduler
 from .scheduling_lms_discrete_flax import FlaxLMSDiscreteScheduler
 from .scheduling_pndm_flax import FlaxPNDMScheduler
 from .scheduling_sde_ve_flax import FlaxScoreSdeVeScheduler
 from .scheduling_utils_flax import (
     FlaxKarrasDiffusionSchedulers,
     FlaxSchedulerMixin,
     FlaxSchedulerOutput,
     broadcast_to_shape_from_left,
 )


try:
 if not (is_torch_available() and is_scipy_available()):
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 from ..utils.dummy_torch_and_scipy_objects import *  # noqa F403
else:
 from .scheduling_lms_discrete import LMSDiscreteScheduler

try:
 if not (is_torch_available() and is_torchsde_available()):
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 from ..utils.dummy_torch_and_torchsde_objects import *  # noqa F403
else:
 from .scheduling_dpmsolver_sde import DPMSolverSDEScheduler

