




"""simple docstring"""


import math
import random
from typing import Any

from .hill_climbing import SearchProblem


def  UpperCAmelCase__	(snake_case__							: List[str]		,       snake_case__							: bool = True		,       snake_case__							: float = math.inf		,       snake_case__							: float = -math.inf		,       snake_case__							: float = math.inf		,       snake_case__							: float = -math.inf		,       snake_case__							: bool = False		,       snake_case__							: float = 1_00		,       snake_case__							: float = 0.01		,       snake_case__							: float = 1		,       ):
  """simple docstring"""

  _snake_case							:		Dict								=  False
  _snake_case							:		int								=  search_prob
  _snake_case							:		Dict								=  start_temperate
  _snake_case							:		int								=  []
  _snake_case							:		str								=  0
  _snake_case							:		Tuple								=  None

  while not search_end:
    _snake_case							:		List[str]								=  current_state.score()
    if best_state is None or current_score > best_state.score():
      _snake_case							:		Tuple								=  current_state
    scores.append(snake_case__   )
    iterations += 1
    _snake_case							:		Tuple								=  None
    _snake_case							:		str								=  current_state.get_neighbors()
    while (
        next_state is None and neighbors
    ):  # till we do not find a neighbor that we can move to
      _snake_case							:		Union[str, Any]								=  random.randint(0		,       len(snake_case__   ) - 1   )  # picking a random neighbor
      _snake_case							:		int								=  neighbors.pop(snake_case__   )
      _snake_case							:		Tuple								=  picked_neighbor.score() - current_score

      if (
          picked_neighbor.x > max_x
          or picked_neighbor.x < min_x
          or picked_neighbor.y > max_y
          or picked_neighbor.y < min_y
      ):
        continue  # neighbor outside our bounds

      if not find_max:
        _snake_case							:		List[Any]								=  change * -1  # in case we are finding minimum
      if change > 0:  # improves the solution
        _snake_case							:		Optional[int]								=  picked_neighbor
      else:
        _snake_case							:		str								=  (math.e) ** (
            change / current_temp
        )  # probability generation function
        if random.random() < probability:  # random number within probability
          _snake_case							:		int								=  picked_neighbor
    _snake_case							:		List[Any]								=  current_temp - (current_temp * rate_of_decrease)

    if current_temp < threshold_temp or next_state is None:
      # temperature below threshold, or could not find a suitable neighbor
      _snake_case							:		List[str]								=  True
    else:
      _snake_case							:		List[Any]								=  next_state

  if visualization:
    from matplotlib import pyplot as plt

    plt.plot(range(snake_case__   )		,       snake_case__   )
    plt.xlabel("""Iterations"""   )
    plt.ylabel("""Function values"""   )
    plt.show()
  return best_state


if __name__ == "__main__":


     def  UpperCAmelCase__	(snake_case__							: List[str]		,       snake_case__							: Dict   ):
       """simple docstring"""

       return (x**2) + (y**2)

     # starting the problem with initial coordinates (12, 47)
     A_      =    SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
     A_      =    simulated_annealing(
         prob, find_max=False, max_x=1_00, min_x=5, max_y=50, min_y=-5, visualization=True
     )
     print(
         '''The minimum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '''
         F'''and 50 > y > - 5 found via hill climbing: {local_min.score()}'''
     )

     # starting the problem with initial coordinates (12, 47)
     A_      =    SearchProblem(x=12, y=47, step_size=1, function_to_optimize=test_fa)
     A_      =    simulated_annealing(
         prob, find_max=True, max_x=1_00, min_x=5, max_y=50, min_y=-5, visualization=True
     )
     print(
         '''The maximum score for f(x, y) = x^2 + y^2 with the domain 100 > x > 5 '''
         F'''and 50 > y > - 5 found via hill climbing: {local_min.score()}'''
     )


     def  UpperCAmelCase__	(snake_case__							: Any		,       snake_case__							: Optional[Any]   ):
       """simple docstring"""

       return (3 * x**2) - (6 * y)

     A_      =    SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
     A_      =    simulated_annealing(prob, find_max=False, visualization=True)
     print(
         '''The minimum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '''
         F'''{local_min.score()}'''
     )

     A_      =    SearchProblem(x=3, y=4, step_size=1, function_to_optimize=test_fa)
     A_      =    simulated_annealing(prob, find_max=True, visualization=True)






     print(
         '''The maximum score for f(x, y) = 3*x^2 - 6*y found via hill climbing: '''
         F'''{local_min.score()}'''
     )








"""simple docstring"""


import torch
from torch import nn






class  lowercase(					nn.Module			):







 '''simple docstring'''





 def __init__(    self:		Any,				a_:		List[str],				a_:		Union[str, Any],				a_:		int,				a_:		int,				a_:		List[Any]=1,				a_:		Union[str, Any]=False		):




   '''simple docstring'''



   super().__init__()

   _snake_case							:		int								=  n_token
   _snake_case							:		Tuple								=  d_embed
   _snake_case							:		List[str]								=  d_proj

   _snake_case							:		Optional[int]								=  cutoffs + [n_token]
   _snake_case							:		Any								=  [0] + self.cutoffs
   _snake_case							:		Tuple								=  div_val

   _snake_case							:		Optional[int]								=  self.cutoffs[0]
   _snake_case							:		Union[str, Any]								=  len(self.cutoffs		) - 1
   _snake_case							:		Union[str, Any]								=  self.shortlist_size + self.n_clusters

   if self.n_clusters > 0:
     _snake_case							:		List[Any]								=  nn.Parameter(torch.zeros(self.n_clusters,				self.d_embed		)		)
     _snake_case							:		Tuple								=  nn.Parameter(torch.zeros(self.n_clusters		)		)

   _snake_case							:		Any								=  nn.ModuleList()
   _snake_case							:		Optional[Any]								=  nn.ParameterList()

   if div_val == 1:
     for i in range(len(self.cutoffs		)		):
       if d_proj != d_embed:
         self.out_projs.append(nn.Parameter(torch.FloatTensor(a_,				a_		)		)		)
       else:
         self.out_projs.append(a_		)

     self.out_layers.append(nn.Linear(a_,				a_		)		)
   else:
     for i in range(len(self.cutoffs		)		):
       _snake_case		, _snake_case							:		List[Any]								=  self.cutoff_ends[i], self.cutoff_ends[i + 1]
       _snake_case							:		Union[str, Any]								=  d_embed // (div_val**i)

       self.out_projs.append(nn.Parameter(torch.FloatTensor(a_,				a_		)		)		)

       self.out_layers.append(nn.Linear(a_,				r_idx - l_idx		)		)

   _snake_case							:		Optional[int]								=  keep_order


 def 			UpperCamelCase_       (    self:		str,				a_:		Union[str, Any],				a_:		Dict,				a_:		int,				a_:		Tuple		):




   '''simple docstring'''



   if proj is None:
     _snake_case							:		List[Any]								=  nn.functional.linear(a_,				a_,				bias=a_		)
   else:
     # if CUDA_MAJOR <= 9 and CUDA_MINOR <= 1:
     _snake_case							:		List[Any]								=  nn.functional.linear(a_,				proj.t().contiguous()		)
     _snake_case							:		Tuple								=  nn.functional.linear(a_,				a_,				bias=a_		)
     # else:
     #     logit = torch.einsum('bd,de,ev->bv', (hidden, proj, weight.t()))
     #     if bias is not None:
     #         logit = logit + bias

   return logit


 def 			UpperCamelCase_       (    self:		Dict,				a_:		Dict,				a_:		str=None,				a_:		Union[str, Any]=False		):




   '''simple docstring'''



   if labels is not None:
     # Shift so that tokens < n predict n
     _snake_case							:		int								=  hidden[..., :-1, :].contiguous()
     _snake_case							:		List[Any]								=  labels[..., 1:].contiguous()
     _snake_case							:		str								=  hidden.view(-1,				hidden.size(-1		)		)
     _snake_case							:		Dict								=  labels.view(-1		)
     if hidden.size(0		) != labels.size(0		):
       raise RuntimeError("""Input and labels should have the same size in the batch dimension."""		)
   else:
     _snake_case							:		int								=  hidden.view(-1,				hidden.size(-1		)		)

   if self.n_clusters == 0:
     _snake_case							:		Tuple								=  self._compute_logit(a_,				self.out_layers[0].weight,				self.out_layers[0].bias,				self.out_projs[0]		)
     if labels is not None:
       _snake_case							:		Dict								=  labels != -100
       _snake_case							:		str								=  torch.zeros_like(a_,				dtype=hidden.dtype,				device=hidden.device		)
       _snake_case							:		str								=  (
           -nn.functional.log_softmax(a_,				dim=-1		)[mask].gather(1,				labels[mask].unsqueeze(1		)		).squeeze(1		)
       )
     else:
       _snake_case							:		Optional[int]								=  nn.functional.log_softmax(a_,				dim=-1		)
   else:
     # construct weights and biases
     _snake_case		, _snake_case							:		Optional[int]								=  [], []
     for i in range(len(self.cutoffs		)		):
       if self.div_val == 1:
         _snake_case		, _snake_case							:		Optional[int]								=  self.cutoff_ends[i], self.cutoff_ends[i + 1]
         _snake_case							:		List[Any]								=  self.out_layers[0].weight[l_idx:r_idx]
         _snake_case							:		Tuple								=  self.out_layers[0].bias[l_idx:r_idx]
       else:
         _snake_case							:		Optional[int]								=  self.out_layers[i].weight
         _snake_case							:		int								=  self.out_layers[i].bias

       if i == 0:
         _snake_case							:		List[str]								=  torch.cat([weight_i, self.cluster_weight],				dim=0		)
         _snake_case							:		int								=  torch.cat([bias_i, self.cluster_bias],				dim=0		)

       weights.append(a_		)
       biases.append(a_		)

     _snake_case		, _snake_case		, _snake_case							:		Any								=  weights[0], biases[0], self.out_projs[0]

     _snake_case							:		List[str]								=  self._compute_logit(a_,				a_,				a_,				a_		)
     _snake_case							:		Union[str, Any]								=  nn.functional.log_softmax(a_,				dim=1		)

     if labels is None:
       _snake_case							:		Tuple								=  hidden.new_empty((head_logit.size(0		), self.n_token)		)
     else:
       _snake_case							:		Dict								=  torch.zeros_like(a_,				dtype=hidden.dtype,				device=hidden.device		)

     _snake_case							:		Union[str, Any]								=  0
     _snake_case							:		Optional[Any]								=  [0] + self.cutoffs
     for i in range(len(a_		) - 1		):
       _snake_case		, _snake_case							:		Dict								=  cutoff_values[i], cutoff_values[i + 1]

       if labels is not None:
         _snake_case							:		Dict								=  (labels >= l_idx) & (labels < r_idx)
         _snake_case							:		int								=  mask_i.nonzero().squeeze()

         if indices_i.numel() == 0:
           continue

         _snake_case							:		List[str]								=  labels.index_select(0,				a_		) - l_idx
         _snake_case							:		List[str]								=  head_logprob.index_select(0,				a_		)
         _snake_case							:		List[str]								=  hidden.index_select(0,				a_		)
       else:
         _snake_case							:		List[str]								=  hidden

       if i == 0:
         if labels is not None:
           _snake_case							:		Dict								=  head_logprob_i.gather(1,				target_i[:, None]		).squeeze(1		)
         else:
           _snake_case							:		Optional[Any]								=  head_logprob[:, : self.cutoffs[0]]
       else:
         _snake_case		, _snake_case		, _snake_case							:		Dict								=  weights[i], biases[i], self.out_projs[i]

         _snake_case							:		int								=  self._compute_logit(a_,				a_,				a_,				a_		)
         _snake_case							:		int								=  nn.functional.log_softmax(a_,				dim=1		)
         _snake_case							:		Dict								=  self.cutoffs[0] + i - 1  # No probability for the head cluster
         if labels is not None:
           _snake_case							:		Dict								=  head_logprob_i[:, cluster_prob_idx] + tail_logprob_i.gather(
               1,				target_i[:, None]		).squeeze(1		)
         else:
           _snake_case							:		Optional[Any]								=  head_logprob[:, cluster_prob_idx, None] + tail_logprob_i
           _snake_case							:		Any								=  logprob_i

       if labels is not None:
         if (hasattr(self,				"""keep_order"""		) and self.keep_order) or keep_order:
           out.index_copy_(0,				a_,				-logprob_i		)
         else:
           out[offset : offset + logprob_i.size(0		)].copy_(-logprob_i		)
         offset += logprob_i.size(0		)

   return out


 def 			UpperCamelCase_       (    self:		Union[str, Any],				a_:		Optional[int]		):




   '''simple docstring'''



   if self.n_clusters == 0:
     _snake_case							:		Optional[int]								=  self._compute_logit(a_,				self.out_layers[0].weight,				self.out_layers[0].bias,				self.out_projs[0]		)
     return nn.functional.log_softmax(a_,				dim=-1		)
   else:
     # construct weights and biases
     _snake_case		, _snake_case							:		List[Any]								=  [], []
     for i in range(len(self.cutoffs		)		):
       if self.div_val == 1:
         _snake_case		, _snake_case							:		Optional[Any]								=  self.cutoff_ends[i], self.cutoff_ends[i + 1]
         _snake_case							:		Optional[int]								=  self.out_layers[0].weight[l_idx:r_idx]
         _snake_case							:		str								=  self.out_layers[0].bias[l_idx:r_idx]
       else:
         _snake_case							:		List[Any]								=  self.out_layers[i].weight
         _snake_case							:		Union[str, Any]								=  self.out_layers[i].bias

       if i == 0:
         _snake_case							:		int								=  torch.cat([weight_i, self.cluster_weight],				dim=0		)
         _snake_case							:		Dict								=  torch.cat([bias_i, self.cluster_bias],				dim=0		)

       weights.append(a_		)
       biases.append(a_		)

     _snake_case		, _snake_case		, _snake_case							:		int								=  weights[0], biases[0], self.out_projs[0]
     _snake_case							:		List[Any]								=  self._compute_logit(a_,				a_,				a_,				a_		)

     _snake_case							:		List[Any]								=  hidden.new_empty((head_logit.size(0		), self.n_token)		)
     _snake_case							:		int								=  nn.functional.log_softmax(a_,				dim=1		)

     _snake_case							:		List[Any]								=  [0] + self.cutoffs
     for i in range(len(a_		) - 1		):
       _snake_case		, _snake_case							:		List[str]								=  cutoff_values[i], cutoff_values[i + 1]

       if i == 0:
         _snake_case							:		List[str]								=  head_logprob[:, : self.cutoffs[0]]
       else:
         _snake_case		, _snake_case		, _snake_case							:		List[Any]								=  weights[i], biases[i], self.out_projs[i]

         _snake_case							:		Optional[int]								=  self._compute_logit(a_,				a_,				a_,				a_		)
         _snake_case							:		Any								=  nn.functional.log_softmax(a_,				dim=1		)

         _snake_case							:		Dict								=  head_logprob[:, -i] + tail_logprob_i
         _snake_case							:		Any								=  logprob_i

     return out


