# Path: enn/base.py
# class OutputWithPrior(NamedTuple):
# class EpistemicModule(abc.ABC, hk.Module):
# class ApplyFn(typing_extensions.Protocol):
# class InitFn(typing_extensions.Protocol):
# class EpistemicIndexer(typing_extensions.Protocol):
# class EpistemicNetwork:
# class Batch(NamedTuple):
# class LossFn(typing_extensions.Protocol):
# class EpistemicNetworkWithState:
# class LossFnWithState(typing_extensions.Protocol):
#   def preds(self) -> Array:
#   def __call__(self, inputs: Array, index: Index) -> Output:
#   def __call__(self, params: hk.Params, inputs: Array, index: Index) -> Output:
#   def __call__(self, rng_key: RngKey, inputs: Array, index: Index) -> hk.Params:
#   def __call__(self, key: RngKey) -> Index:
#   def __call__(self,
#                enn: EpistemicNetwork,
#                params: hk.Params,
#                batch: Batch,
#                key: RngKey) -> Tuple[Array, LossMetrics]:
#   def __call__(self,
#                enn: EpistemicNetworkWithState,
#                params: hk.Params,
#                state: hk.State,
#                batch: Batch,
#                key: RngKey) -> Tuple[Array, Tuple[hk.State, LossMetrics]]:


from typing import Callable
from enn import base
from tensorflow_probability.substrates import jax as tfp
import chex
import jax.numpy as jnp
# python3
# pylint: disable=g-bad-file-header
# Copyright 2021 DeepMind Technologies Limited. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#    http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or  implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ============================================================================
"""Tools for computing VAE loss.

Key derivation and algorithms taken from "Auto-Encoding Variational Bayes":
https://arxiv.org/abs/1312.6114 (Kingma & Welling, 2014).
"""

tfd = tfp.distributions



# Path: enn/base.py
# class OutputWithPrior(NamedTuple):
# class EpistemicModule(abc.ABC, hk.Module):
# class ApplyFn(typing_extensions.Protocol):
# class InitFn(typing_extensions.Protocol):
# class EpistemicIndexer(typing_extensions.Protocol):
# class EpistemicNetwork:
# class Batch(NamedTuple):
# class LossFn(typing_extensions.Protocol):
# class EpistemicNetworkWithState:
# class LossFnWithState(typing_extensions.Protocol):
#   def preds(self) -> Array:
#   def __call__(self, inputs: Array, index: Index) -> Output:
#   def __call__(self, params: hk.Params, inputs: Array, index: Index) -> Output:
#   def __call__(self, rng_key: RngKey, inputs: Array, index: Index) -> hk.Params:
#   def __call__(self, key: RngKey) -> Index:
#   def __call__(self,
#                enn: EpistemicNetwork,
#                params: hk.Params,
#                batch: Batch,
#                key: RngKey) -> Tuple[Array, LossMetrics]:
#   def __call__(self,
#                enn: EpistemicNetworkWithState,
#                params: hk.Params,
#                state: hk.State,
#                batch: Batch,
#                key: RngKey) -> Tuple[Array, Tuple[hk.State, LossMetrics]]:


# Path: enn/losses/vae_losses.py
from typing import Callable
from enn import base
from tensorflow_probability.substrates import jax as tfp
import chex
import jax.numpy as jnp

# python3
# pylint: disable=g-bad-file-header
# Copyright 2021 DeepMind Technologies Limited. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#    http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or  implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ============================================================================
"""Tools for computing VAE loss.

Key derivation and algorithms taken from "Auto-Encoding Variational Bayes":
https://arxiv.org/abs/1312.6114 (Kingma & Welling, 2014).
"""

tfd = tfp.distributions



def binary_log_likelihood(x: base.Array, output: base.Array) -> float: