# This file is part of sbi, a toolkit for simulation-based inference. sbi is licensed
# under the Affero General Public License v3, see <https://www.gnu.org/licenses/>.

from __future__ import annotations

from typing import Callable, Optional, Union

import torch
from torch import Tensor, eye, nn, ones
from torch.utils.tensorboard import SummaryWriter

from sbi.inference.posterior import NeuralPosterior
from sbi.inference.snpe.snpe_base import PosteriorEstimator
from sbi.types import OneOrMore
from sbi.utils import clamp_and_warn, del_entries, repeat_rows


class SNPE_C(PosteriorEstimator):
    def __init__(
        self,
        simulator: Callable,
        prior,
        num_workers: int = 1,
        simulation_batch_size: int = 1,
        density_estimator: Union[str, Callable] = "maf",
        sample_with_mcmc: bool = False,
        mcmc_method: str = "slice_np",
        mcmc_parameters: Optional[Dict[str, Any]] = None,
        use_combined_loss: bool = False,
        device: str = "cpu",
        logging_level: Union[int, str] = "WARNING",
        summary_writer: Optional[SummaryWriter] = None,
        show_progress_bars: bool = True,
        show_round_summary: bool = False,
    ):
        r"""SNPE-C / APT [1].

        [1] _Automatic Posterior Transformation for Likelihood-free Inference_,
            Greenberg et al., ICML 2019, https://arxiv.org/abs/1905.07488.

        Args:
            simulator: A function that takes parameters $\theta$ and maps them to
                simulations, or observations, `x`, $\mathrm{sim}(\theta)\to x$. Any
                regular Python callable (i.e. function or class with `__call__` method)
                can be used.
            prior: A probability distribution that expresses prior knowledge about the
                parameters, e.g. which ranges are meaningful for them. Any
                object with `.log_prob()`and `.sample()` (for example, a PyTorch
                distribution) can be used.
            num_workers: Number of parallel workers to use for simulations.
            simulation_batch_size: Number of parameter sets that the simulator
                maps to data x at once. If None, we simulate all parameter sets at the
                same time. If >= 1, the simulator has to process data of shape
                (simulation_batch_size, parameter_dimension).
            density_estimator: If it is a string, use a pre-configured network of the
                provided type (one of nsf, maf, mdn, made). Alternatively, a function
                that builds a custom neural network can be provided. The function will
                be called with the first batch of simulations (theta, x), which can
                thus be used for shape inference and potentially for z-scoring. It
                needs to return a PyTorch `nn.Module` implementing the density
                estimator. The density estimator needs to provide the methods
                `.log_prob` and `.sample()`.
            sample_with_mcmc: Whether to sample with MCMC. MCMC can be used to deal
                with high leakage.
            mcmc_method: Method used for MCMC sampling, one of `slice_np`, `slice`, `hmc`, `nuts`.
                Currently defaults to `slice_np` for a custom numpy implementation of
                slice sampling; select `hmc`, `nuts` or `slice` for Pyro-based sampling.
            mcmc_parameters: Dictionary overriding the default parameters for MCMC.
                The following parameters are supported: `thin` to set the thinning
                factor for the chain, `warmup_steps` to set the initial number of
                samples to discard, `num_chains` for the number of chains, `init_strategy`
                for the initialisation strategy for chains; `prior` will draw init
                locations from prior, whereas `sir` will use Sequential-Importance-
                Resampling using `init_strategy_num_candidates` to find init
                locations.
            use_combined_loss: Whether to train the neural net also on prior samples
                using maximum likelihood in addition to training it on all samples using
                atomic loss. The extra MLE loss helps prevent density leaking with
                bounded priors.
            device: torch device on which to compute, e.g. gpu, cpu.
            logging_level: Minimum severity of messages to log. One of the strings
                INFO, WARNING, DEBUG, ERROR and CRITICAL.
            summary_writer: A `SummaryWriter` to control, among others, log
                file location (default is `<current working directory>/logs`.)
            show_progress_bars: Whether to show a progressbar during simulation and
                sampling.
            show_round_summary: Whether to show the validation loss and leakage after
                each round.
        """

        self._use_combined_loss = use_combined_loss

        kwargs = del_entries(
            locals(), entries=("self", "__class__", "use_combined_loss")
        )
        super().__init__(**kwargs)

    def __call__(
        self,
        num_rounds: int,
        num_simulations_per_round: OneOrMore[int],
        x_o: Optional[Tensor] = None,
        num_atoms: int = 10,
        training_batch_size: int = 50,
        learning_rate: float = 5e-4,
        validation_fraction: float = 0.1,
        stop_after_epochs: int = 20,
        max_num_epochs: Optional[int] = None,
        clip_max_norm: Optional[float] = 5.0,
        calibration_kernel: Optional[Callable] = None,
        exclude_invalid_x: bool = True,
        discard_prior_samples: bool = False,
        retrain_from_scratch_each_round: bool = False,
    ) -> NeuralPosterior:
        r"""Run SNPE.

        Return posterior $p(\theta|x)$ after inference (possibly over several rounds).

        Args:
            num_rounds: Number of rounds to run. Each round consists of a simulation and
                training phase. `num_rounds=1` leads to a posterior $p(\theta|x)$ valid
                for _any_ $x$ (amortized), but requires many simulations.
                Alternatively, with `num_rounds>1` the inference returns a posterior
                $p(\theta|x_o)$ focused on a specific observation `x_o`, potentially
                requiring less simulations.
            num_simulations_per_round: Number of simulator calls per round.
            x_o: An observation that is only required when doing inference
                over multiple rounds. After the first round, `x_o` is used to guide the
                sampling so that the simulator is run with parameters that are likely
                for that `x_o`, i.e. they are sampled from the posterior obtained in the
                previous round $p(\theta|x_o)$.
            num_atoms: Number of atoms to use for classification.
            training_batch_size: Training batch size.
            learning_rate: Learning rate for Adam optimizer.
            validation_fraction: The fraction of data to use for validation.
            stop_after_epochs: The number of epochs to wait for improvement on the
                validation set before terminating training.
            max_num_epochs: Maximum number of epochs to run. If reached, we stop
                training even when the validation loss is still decreasing. If None, we
                train until validation loss increases (see also `stop_after_epochs`).
            clip_max_norm: Value at which to clip the total gradient norm in order to
                prevent exploding gradients. Use None for no clipping.
            calibration_kernel: A function to calibrate the loss with respect to the
                simulations `x`. See Lueckmann, Gonçalves et al., NeurIPS 2017.
            exclude_invalid_x: Whether to exclude simulation outputs `x=NaN` or `x=±∞`
                during training. Expect errors, silent or explicit, when `False`.
            discard_prior_samples: Whether to discard samples simulated in round 1, i.e.
                from the prior. Training may be sped up by ignoring such less targeted
                samples.
            retrain_from_scratch_each_round: Whether to retrain the conditional density
                estimator for the posterior from scratch each round.

        Returns:
            Posterior $p(\theta|x)$ that can be sampled and evaluated.
        """

        # WARNING: sneaky trick ahead. We proxy the parent's `__call__` here,
        # requiring the signature to have `num_atoms`, save it for use below, and
        # continue. It's sneaky because we are using the object (self) as a namespace
        # to pass arguments between functions, and that's implicit state management.

        self._num_atoms = num_atoms
        kwargs = del_entries(locals(), entries=("self", "__class__", "num_atoms"))

        return super().__call__(**kwargs)

    def _log_prob_proposal_posterior(
        self, theta: Tensor, x: Tensor, masks: Tensor
    ) -> Tensor:
        """
        Return log probability of the proposal posterior.

        We have two main options when evaluating the proposal posterior.
            (1) Generate atoms from the proposal prior.
            (2) Generate atoms from a more targeted distribution, such as the most
                recent posterior.
        If we choose the latter, it is likely beneficial not to do this in the first
        round, since we would be sampling from a randomly-initialized neural density
        estimator.

        Args:
            theta: Batch of parameters θ.
            x: Batch of data.
            masks: Mask that is True for prior samples in the batch in order to train
                them with prior loss.

        Returns:
            Log-probability of the proposal posterior.
        """

        batch_size = theta.shape[0]

        num_atoms = clamp_and_warn(
            "num_atoms", self._num_atoms, min_val=2, max_val=batch_size
        )

        # Each set of parameter atoms is evaluated using the same x,
        # so we repeat rows of the data x, e.g. [1, 2] -> [1, 1, 2, 2]
        repeated_x = repeat_rows(x, num_atoms)

        # To generate the full set of atoms for a given item in the batch,
        # we sample without replacement num_atoms - 1 times from the rest
        # of the theta in the batch.
        probs = ones(batch_size, batch_size) * (1 - eye(batch_size)) / (batch_size - 1)

        choices = torch.multinomial(probs, num_samples=num_atoms - 1, replacement=False)
        contrasting_theta = theta[choices]

        # We can now create our sets of atoms from the contrasting parameter sets
        # we have generated.
        atomic_theta = torch.cat((theta[:, None, :], contrasting_theta), dim=1).reshape(
            batch_size * num_atoms, -1
        )

        # Evaluate large batch giving (batch_size * num_atoms) log prob posterior evals.
        log_prob_posterior = self._posterior.net.log_prob(atomic_theta, repeated_x)
        self._assert_all_finite(log_prob_posterior, "posterior eval")
        log_prob_posterior = log_prob_posterior.reshape(batch_size, num_atoms)

        # Get (batch_size * num_atoms) log prob prior evals.
        log_prob_prior = self._prior.log_prob(atomic_theta)
        log_prob_prior = log_prob_prior.reshape(batch_size, num_atoms)
        self._assert_all_finite(log_prob_prior, "prior eval")

        # Compute unnormalized proposal posterior.
        unnormalized_log_prob = log_prob_posterior - log_prob_prior

        # Normalize proposal posterior across discrete set of atoms.
        log_prob_proposal_posterior = unnormalized_log_prob[:, 0] - torch.logsumexp(
            unnormalized_log_prob, dim=-1
        )
        self._assert_all_finite(log_prob_proposal_posterior, "proposal posterior eval")

        # XXX This evaluates the posterior on _all_ prior samples
        if self._use_combined_loss:
            log_prob_posterior_non_atomic = self._posterior.net.log_prob(theta, x)
            masks = masks.reshape(-1)
            log_prob_proposal_posterior = (
                masks * log_prob_posterior_non_atomic + log_prob_proposal_posterior
            )

        return log_prob_proposal_posterior

    def _log_prob_proposal_MoG(self, theta: Tensor, x: Tensor, masks: Tensor) -> Tensor:
        raise NotImplementedError
