




from __future__ import annotations

import unittest
from collections.abc import Iterator

class 			_lowerCamelCase    :

      """simple docstring"""

      def __init__(  self       :			str			,							snake_case       :			int			,							snake_case       :			Node | None					):
          __UpperCamelCase			=    label
          __UpperCamelCase			=    parent
          __UpperCamelCase			=    None
          __UpperCamelCase			=    None







class 			_lowerCamelCase    :

      """simple docstring"""

      def __init__(  self       :			Dict					):
          __UpperCamelCase			=    None







      def    snake_case						(  self       :			List[Any]					):
          __UpperCamelCase			=    None







      def    snake_case						(  self       :			Any					):
          return self.root is None







      def    snake_case						(  self       :			List[str]			,							snake_case       :			int					):
          __UpperCamelCase			=    self._put(self.root			,							snake_case					)







      def    snake_case						(  self       :			List[Any]			,							snake_case       :			Node | None			,							snake_case       :			int			,							snake_case       :			Node | None = None					):
          if node is None:
              __UpperCamelCase			=    Node(snake_case			,							snake_case					)
          else:
              if label < node.label:
                  __UpperCamelCase			=    self._put(node.left			,							snake_case			,							snake_case					)
              elif label > node.label:
                  __UpperCamelCase			=    self._put(node.right			,							snake_case			,							snake_case					)
              else:
                  __UpperCamelCase			=    F"Node with label {label} already exists"
                  raise Exception(snake_case					)

          return node







      def    snake_case						(  self       :			List[Any]			,							snake_case       :			int					):
          return self._search(self.root			,							snake_case					)







      def    snake_case						(  self       :			Dict			,							snake_case       :			Node | None			,							snake_case       :			int					):
          if node is None:
              __UpperCamelCase			=    F"Node with label {label} does not exist"
              raise Exception(snake_case					)
          else:
              if label < node.label:
                  __UpperCamelCase			=    self._search(node.left			,							snake_case					)
              elif label > node.label:
                  __UpperCamelCase			=    self._search(node.right			,							snake_case					)

          return node







      def    snake_case						(  self       :			str			,							snake_case       :			int					):
          __UpperCamelCase			=    self.search(snake_case					)
          if node.right and node.left:
              __UpperCamelCase			=    self._get_lowest_node(node.right					)
              __UpperCamelCase			=    node.left
              __UpperCamelCase			=    node.right
              __UpperCamelCase			=    lowest_node
              if node.right:
                  __UpperCamelCase			=    lowest_node
              self._reassign_nodes(snake_case			,							snake_case					)
          elif not node.right and node.left:
              self._reassign_nodes(snake_case			,							node.left					)
          elif node.right and not node.left:
              self._reassign_nodes(snake_case			,							node.right					)
          else:
              self._reassign_nodes(snake_case			,							snake_case					)







      def    snake_case						(  self       :			Optional[Any]			,							snake_case       :			Node			,							snake_case       :			Node | None					):
          if new_children:
              __UpperCamelCase			=    node.parent

          if node.parent:
              if node.parent.right == node:
                  __UpperCamelCase			=    new_children
              else:
                  __UpperCamelCase			=    new_children
          else:
              __UpperCamelCase			=    new_children







      def    snake_case						(  self       :			Any			,							snake_case       :			Node					):
          if node.left:
              __UpperCamelCase			=    self._get_lowest_node(node.left					)
          else:
              __UpperCamelCase			=    node
              self._reassign_nodes(snake_case			,							node.right					)

          return lowest_node







      def    snake_case						(  self       :			str			,							snake_case       :			int					):
          try:
              self.search(snake_case					)
              return True
          except Exception:
              return False







      def    snake_case						(  self       :			Tuple					):
          if self.root is None:
              raise Exception('''Binary search tree is empty'''					)

          __UpperCamelCase			=    self.root
          while node.right is not None:
              __UpperCamelCase			=    node.right

          return node.label







      def    snake_case						(  self       :			List[str]					):
          if self.root is None:
              raise Exception('''Binary search tree is empty'''					)

          __UpperCamelCase			=    self.root
          while node.left is not None:
              __UpperCamelCase			=    node.left

          return node.label







      def    snake_case						(  self       :			Tuple					):
          return self._inorder_traversal(self.root					)







      def    snake_case						(  self       :			Optional[Any]			,							snake_case       :			Node | None					):
          if node is not None:
              yield from self._inorder_traversal(node.left					)
              yield node
              yield from self._inorder_traversal(node.right					)







      def    snake_case						(  self       :			int					):
          return self._preorder_traversal(self.root					)







      def    snake_case						(  self       :			List[Any]			,							snake_case       :			Node | None					):
          if node is not None:
              yield node
              yield from self._preorder_traversal(node.left					)
              yield from self._preorder_traversal(node.right					)







class 			_lowerCamelCase    (      unittest.TestCase ):

      """simple docstring"""

      @staticmethod
      def    snake_case						(  ):
          __UpperCamelCase			=    BinarySearchTree()
          t.put(8					)
          t.put(3					)
          t.put(6					)
          t.put(1					)
          t.put(10					)
          t.put(14					)
          t.put(13					)
          t.put(4					)
          t.put(7					)
          t.put(5					)

          return t







      def    snake_case						(  self       :			str					):
          __UpperCamelCase			=    BinarySearchTree()
          assert t.is_empty()

          t.put(8					)
          assert t.root is not None
          assert t.root.parent is None
          assert t.root.label == 8

          t.put(10					)
          assert t.root.right is not None
          assert t.root.right.parent == t.root
          assert t.root.right.label == 10

          t.put(3					)
          assert t.root.left is not None
          assert t.root.left.parent == t.root
          assert t.root.left.label == 3

          t.put(6					)
          assert t.root.left.right is not None
          assert t.root.left.right.parent == t.root.left
          assert t.root.left.right.label == 6

          t.put(1					)
          assert t.root.left.left is not None
          assert t.root.left.left.parent == t.root.left
          assert t.root.left.left.label == 1

          with self.assertRaises(snake_case					):  # noqa: B017
              t.put(1					)







      def    snake_case						(  self       :			int					):
          __UpperCamelCase			=    self._get_binary_search_tree()

          __UpperCamelCase			=    t.search(6					)
          assert node.label == 6

          __UpperCamelCase			=    t.search(13					)
          assert node.label == 13

          with self.assertRaises(snake_case					):  # noqa: B017
              t.search(2					)







      def    snake_case						(  self       :			Any					):
          __UpperCamelCase			=    self._get_binary_search_tree()

          t.remove(13					)
          assert t.root is not None
          assert t.root.right is not None
          assert t.root.right.right is not None
          assert t.root.right.right.right is None
          assert t.root.right.right.left is None

          t.remove(7					)
          assert t.root.left is not None
          assert t.root.left.right is not None
          assert t.root.left.right.left is not None
          assert t.root.left.right.right is None
          assert t.root.left.right.left.label == 4

          t.remove(6					)
          assert t.root.left.left is not None
          assert t.root.left.right.right is not None
          assert t.root.left.left.label == 1
          assert t.root.left.right.label == 4
          assert t.root.left.right.right.label == 5
          assert t.root.left.right.left is None
          assert t.root.left.left.parent == t.root.left
          assert t.root.left.right.parent == t.root.left

          t.remove(3					)
          assert t.root is not None
          assert t.root.left.label == 4
          assert t.root.left.right.label == 5
          assert t.root.left.left.label == 1
          assert t.root.left.parent == t.root
          assert t.root.left.left.parent == t.root.left
          assert t.root.left.right.parent == t.root.left

          t.remove(4					)
          assert t.root.left is not None
          assert t.root.left.left is not None
          assert t.root.left.label == 5
          assert t.root.left.right is None
          assert t.root.left.left.label == 1
          assert t.root.left.parent == t.root
          assert t.root.left.left.parent == t.root.left







      def    snake_case						(  self       :			Dict					):
          __UpperCamelCase			=    self._get_binary_search_tree()

          t.remove(3					)
          assert t.root is not None
          assert t.root.left is not None
          assert t.root.left.left is not None
          assert t.root.left.right is not None
          assert t.root.left.right.left is not None
          assert t.root.left.right.right is not None
          assert t.root.left.label == 4
          assert t.root.left.right.label == 6
          assert t.root.left.left.label == 1
          assert t.root.left.right.right.label == 7
          assert t.root.left.right.left.label == 5
          assert t.root.left.parent == t.root
          assert t.root.left.right.parent == t.root.left
          assert t.root.left.left.parent == t.root.left
          assert t.root.left.right.left.parent == t.root.left.right







      def    snake_case						(  self       :			Optional[int]					):
          __UpperCamelCase			=    self._get_binary_search_tree()
          t.empty()
          assert t.root is None







      def    snake_case						(  self       :			Optional[int]					):
          __UpperCamelCase			=    self._get_binary_search_tree()
          assert not t.is_empty()

          t.empty()
          assert t.is_empty()







      def    snake_case						(  self       :			Union[str, Any]					):
          __UpperCamelCase			=    self._get_binary_search_tree()

          assert t.exists(6					)
          assert not t.exists(-1					)







      def    snake_case						(  self       :			Optional[Any]					):
          __UpperCamelCase			=    self._get_binary_search_tree()

          assert t.get_max_label() == 14

          t.empty()
          with self.assertRaises(snake_case					):  # noqa: B017
              t.get_max_label()







      def    snake_case						(  self       :			str					):
          __UpperCamelCase			=    self._get_binary_search_tree()

          assert t.get_min_label() == 1

          t.empty()
          with self.assertRaises(snake_case					):  # noqa: B017
              t.get_min_label()







      def    snake_case						(  self       :			Dict					):
          __UpperCamelCase			=    self._get_binary_search_tree()

          __UpperCamelCase			=    [i.label for i in t.inorder_traversal()]
          assert inorder_traversal_nodes == [1, 3, 4, 5, 6, 7, 8, 10, 13, 14]







      def    snake_case						(  self       :			Dict					):
          __UpperCamelCase			=    self._get_binary_search_tree()

          __UpperCamelCase			=    [i.label for i in t.preorder_traversal()]
          assert preorder_traversal_nodes == [8, 3, 1, 6, 4, 5, 7, 10, 14, 13]







def        __SCREAMING_SNAKE_CASE (	)							->						None:

    """simple docstring"""


    __UpperCamelCase			=    BinarySearchTree()
    t.put(8   )
    t.put(3   )
    t.put(6   )
    t.put(1   )
    t.put(10   )
    t.put(14   )
    t.put(13   )
    t.put(4   )
    t.put(7   )
    t.put(5   )

    print(
        '''
            8
           / \\
          3   10
         / \\    \\
        1   6    14
           / \\   /
          4   7 13
           \\
            5
        '''   )

    print('''Label 6 exists:'''       ,  t.exists(6   )   )
    print('''Label 13 exists:'''       ,  t.exists(13   )   )
    print('''Label -1 exists:'''       ,  t.exists(-1   )   )
    print('''Label 12 exists:'''       ,  t.exists(12   )   )

    # Prints all the elements of the list in inorder traversal
    __UpperCamelCase			=    [i.label for i in t.inorder_traversal()]
    print('''Inorder traversal:'''       ,  lowercase_   )

    # Prints all the elements of the list in preorder traversal
    __UpperCamelCase			=    [i.label for i in t.preorder_traversal()]
    print('''Preorder traversal:'''       ,  lowercase_   )

    print('''Max. label:'''       ,  t.get_max_label()   )
    print('''Min. label:'''       ,  t.get_min_label()   )

    # Delete elements
    print('''\nDeleting elements 13, 10, 8, 3, 6, 14'''   )
    print(
        '''
          4
         / \\
        1   7
             \\
              5
        '''   )
    t.remove(13   )
    t.remove(10   )
    t.remove(8   )
    t.remove(3   )
    t.remove(6   )
    t.remove(14   )

    # Prints all the elements of the list in inorder traversal after delete
    __UpperCamelCase			=    [i.label for i in t.inorder_traversal()]
    print('''Inorder traversal after delete:'''       ,  lowercase_   )

    # Prints all the elements of the list in preorder traversal after delete
    __UpperCamelCase			=    [i.label for i in t.preorder_traversal()]
    print('''Preorder traversal after delete:'''       ,  lowercase_   )

    print('''Max. label:'''       ,  t.get_max_label()   )
    print('''Min. label:'''       ,  t.get_min_label()   )


if __name__ == "__main__":
 binary_search_tree_example()












from dataclasses import dataclass
from typing import Optional, Tuple, Union

import flax
import jax.numpy as jnp
from scipy import integrate

from ..configuration_utils import ConfigMixin, register_to_config
from .scheduling_utils_flax import (
    CommonSchedulerState,
    FlaxKarrasDiffusionSchedulers,
    FlaxSchedulerMixin,
    FlaxSchedulerOutput,
    broadcast_to_shape_from_left,
)

@flax.struct.dataclass
class 			_lowerCamelCase    :

      """simple docstring"""

      lowerCAmelCase__      :			CommonSchedulerState

      # setable values
      lowerCAmelCase__      :			jnp.ndarray
      lowerCAmelCase__      :			jnp.ndarray
      lowerCAmelCase__      :			jnp.ndarray
      lowerCAmelCase__      :			Optional[int]     =       None

      # running values
      lowerCAmelCase__      :			Optional[jnp.ndarray]     =       None







      @classmethod
      def    snake_case						(  cls       :			str			,							snake_case       :			CommonSchedulerState			,							snake_case       :			jnp.ndarray			,							snake_case       :			jnp.ndarray			,							snake_case       :			jnp.ndarray					):
          return cls(common=snake_case			,							init_noise_sigma=snake_case			,							timesteps=snake_case			,							sigmas=snake_case					)







@dataclass
class 			_lowerCamelCase    (      _SCREAMING_SNAKE_CASE ):

      """simple docstring"""

      lowerCAmelCase__      :			LMSDiscreteSchedulerState







class 			_lowerCamelCase    (      _SCREAMING_SNAKE_CASE				,      _SCREAMING_SNAKE_CASE ):

      """simple docstring"""

      lowerCAmelCase__      :			List[Any]     =       [e.name for e in FlaxKarrasDiffusionSchedulers]

      lowerCAmelCase__      :			jnp.dtype







      @property
      def    snake_case						(  self       :			Any					):
          return True







      @register_to_config
      def __init__(  self       :			Union[str, Any]			,							snake_case       :			int = 1000			,							snake_case       :			float = 0.00_01			,							snake_case       :			float = 0.02			,							snake_case       :			str = "linear"			,							snake_case       :			Optional[jnp.ndarray] = None			,							snake_case       :			str = "epsilon"			,							snake_case       :			jnp.dtype = jnp.floataa			,							):
          __UpperCamelCase			=    dtype







      def    snake_case						(  self       :			int			,							snake_case       :			Optional[CommonSchedulerState] = None					):
          if common is None:
              __UpperCamelCase			=    CommonSchedulerState.create(self					)

          __UpperCamelCase			=    jnp.arange(0			,							self.config.num_train_timesteps					).round()[::-1]
          __UpperCamelCase			=    ((1 - common.alphas_cumprod) / common.alphas_cumprod) ** 0.5

          # standard deviation of the initial noise distribution
          __UpperCamelCase			=    sigmas.max()

          return LMSDiscreteSchedulerState.create(
              common=snake_case			,							init_noise_sigma=snake_case			,							timesteps=snake_case			,							sigmas=snake_case			,							)







      def    snake_case						(  self       :			str			,							snake_case       :			LMSDiscreteSchedulerState			,							snake_case       :			jnp.ndarray			,							snake_case       :			int					):
          ((__UpperCamelCase)		,   )			=    jnp.where(state.timesteps == timestep			,							size=1					)
          __UpperCamelCase			=    step_index[0]

          __UpperCamelCase			=    state.sigmas[step_index]
          __UpperCamelCase			=    sample / ((sigma**2 + 1) ** 0.5)
          return sample







      def    snake_case						(  self       :			Optional[Any]			,							snake_case       :			LMSDiscreteSchedulerState			,							snake_case       :			str			,							snake_case       :			Tuple			,							snake_case       :			int					):

          def lms_derivative(snake_case       :			int					):
              __UpperCamelCase			=    1.0
              for k in range(snake_case					):
                  if current_order == k:
                      continue
                  prod *= (tau - state.sigmas[t - k]) / (state.sigmas[t - current_order] - state.sigmas[t - k])
              return prod

          __UpperCamelCase			=    integrate.quad(snake_case			,							state.sigmas[t]			,							state.sigmas[t + 1]			,							epsrel=1E-4					)[0]

          return integrated_coeff







      def    snake_case						(  self       :			int			,							snake_case       :			LMSDiscreteSchedulerState			,							snake_case       :			int			,							snake_case       :			Tuple = ()					):
          __UpperCamelCase			=    jnp.linspace(self.config.num_train_timesteps - 1			,							0			,							snake_case			,							dtype=self.dtype					)

          __UpperCamelCase			=    jnp.floor(snake_case					).astype(jnp.intaa					)
          __UpperCamelCase			=    jnp.ceil(snake_case					).astype(jnp.intaa					)

          __UpperCamelCase			=    jnp.mod(snake_case			,							1.0					)

          __UpperCamelCase			=    ((1 - state.common.alphas_cumprod) / state.common.alphas_cumprod) ** 0.5
          __UpperCamelCase			=    (1 - frac) * sigmas[low_idx] + frac * sigmas[high_idx]
          __UpperCamelCase			=    jnp.concatenate([sigmas, jnp.array([0.0]			,							dtype=self.dtype					)]					)

          __UpperCamelCase			=    timesteps.astype(jnp.intaa					)

          # initial running values
          __UpperCamelCase			=    jnp.zeros((0,) + shape			,							dtype=self.dtype					)

          return state.replace(
              timesteps=snake_case			,							sigmas=snake_case			,							num_inference_steps=snake_case			,							derivatives=snake_case			,							)







      def    snake_case						(  self       :			Tuple			,							snake_case       :			LMSDiscreteSchedulerState			,							snake_case       :			jnp.ndarray			,							snake_case       :			int			,							snake_case       :			jnp.ndarray			,							snake_case       :			int = 4			,							snake_case       :			bool = True			,							):
          if state.num_inference_steps is None:
              raise ValueError(
                  '''Number of inference steps is \'None\', you need to run \'set_timesteps\' after creating the scheduler'''					)

          __UpperCamelCase			=    state.sigmas[timestep]

          # 1. compute predicted original sample (x_0) from sigma-scaled predicted noise
          if self.config.prediction_type == "epsilon":
              __UpperCamelCase			=    sample - sigma * model_output
          elif self.config.prediction_type == "v_prediction":
              # * c_out + input * c_skip
              __UpperCamelCase			=    model_output * (-sigma / (sigma**2 + 1) ** 0.5) + (sample / (sigma**2 + 1))
          else:
              raise ValueError(
                  F"prediction_type given as {self.config.prediction_type} must be one of `epsilon`, or `v_prediction`"					)

          # 2. Convert to an ODE derivative
          __UpperCamelCase			=    (sample - pred_original_sample) / sigma
          __UpperCamelCase			=    state.replace(derivatives=jnp.append(state.derivatives			,							snake_case					)					)
          if len(state.derivatives					) > order:
              __UpperCamelCase			=    state.replace(derivatives=jnp.delete(state.derivatives			,							0					)					)

          # 3. Compute linear multistep coefficients
          __UpperCamelCase			=    min(timestep + 1			,							snake_case					)
          __UpperCamelCase			=    [self.get_lms_coefficient(snake_case			,							snake_case			,							snake_case			,							snake_case					) for curr_order in range(snake_case					)]

          # 4. Compute previous sample based on the derivatives path
          __UpperCamelCase			=    sample + sum(
              coeff * derivative for coeff, derivative in zip(snake_case			,							reversed(state.derivatives					)					)					)

          if not return_dict:
              return (prev_sample, state)

          return FlaxLMSSchedulerOutput(prev_sample=snake_case			,							state=snake_case					)







      def    snake_case						(  self       :			Dict			,							snake_case       :			LMSDiscreteSchedulerState			,							snake_case       :			jnp.ndarray			,							snake_case       :			jnp.ndarray			,							snake_case       :			jnp.ndarray			,							):
          __UpperCamelCase			=    state.sigmas[timesteps].flatten()
          __UpperCamelCase			=    broadcast_to_shape_from_left(snake_case			,							noise.shape					)

          __UpperCamelCase			=    original_samples + noise * sigma

          return noisy_samples







      def __len__(  self       :			Optional[Any]					):
          return self.config.num_train_timesteps






