Convert PyStan data into an InferenceData object.

    Parameters
    ----------
    posterior : StanFit4Model or stan.fit.Fit
        PyStan fit object for posterior.
    posterior_predictive : str, a list of str
        Posterior predictive samples for the posterior.
    prior : StanFit4Model or stan.fit.Fit
        PyStan fit object for prior.
    prior_predictive : str, a list of str
        Posterior predictive samples for the prior.
    observed_data : str or a list of str
        observed data used in the sampling.
        Observed data is extracted from the `posterior.data`.
        PyStan3 needs model object for the extraction.
        See `posterior_model`.
    log_likelihood : str
        Pointwise log_likelihood for the data.
        log_likelihood is extracted from the posterior.
    coords : dict[str, iterable]
        A dictionary containing the values that are used as index. The key
        is the name of the dimension, the values are the index values.
    dims : dict[str, List(str)]
        A mapping from variables to a list of coordinate names for the variable.
    posterior_model : stan.model.Model
        PyStan3 specific model object. Needed for automatic dtype parsing
        and for the extraction of observed data.
    prior_model : stan.model.Model
        PyStan3 specific model object. Needed for automatic dtype parsing.

    Returns
    -------
    InferenceData object

def from_pystan(
    posterior=None,
    *,
    posterior_predictive=None,
    prior=None,
    prior_predictive=None,
    observed_data=None,
    log_likelihood=None,
    coords=None,
    dims=None,
    posterior_model=None,
    prior_model=None
):
    """Convert PyStan data into an InferenceData object.

    Parameters
    ----------
    posterior : StanFit4Model or stan.fit.Fit
        PyStan fit object for posterior.
    posterior_predictive : str, a list of str
        Posterior predictive samples for the posterior.
    prior : StanFit4Model or stan.fit.Fit
        PyStan fit object for prior.
    prior_predictive : str, a list of str
        Posterior predictive samples for the prior.
    observed_data : str or a list of str
        observed data used in the sampling.
        Observed data is extracted from the `posterior.data`.
        PyStan3 needs model object for the extraction.
        See `posterior_model`.
    log_likelihood : str
        Pointwise log_likelihood for the data.
        log_likelihood is extracted from the posterior.
    coords : dict[str, iterable]
        A dictionary containing the values that are used as index. The key
        is the name of the dimension, the values are the index values.
    dims : dict[str, List(str)]
        A mapping from variables to a list of coordinate names for the variable.
    posterior_model : stan.model.Model
        PyStan3 specific model object. Needed for automatic dtype parsing
        and for the extraction of observed data.
    prior_model : stan.model.Model
        PyStan3 specific model object. Needed for automatic dtype parsing.

    Returns
    -------
    InferenceData object
    """
    check_posterior = (posterior is not None) and (type(posterior).__module__ == "stan.fit")
    check_prior = (prior is not None) and (type(prior).__module__ == "stan.fit")
    if check_posterior or check_prior:
        return PyStan3Converter(
            posterior=posterior,
            posterior_model=posterior_model,
            posterior_predictive=posterior_predictive,
            prior=prior,
            prior_model=prior_model,
            prior_predictive=prior_predictive,
            observed_data=observed_data,
            log_likelihood=log_likelihood,
            coords=coords,
            dims=dims,
        ).to_inference_data()
    else:
        return PyStanConverter(
            posterior=posterior,
            posterior_predictive=posterior_predictive,
            prior=prior,
            prior_predictive=prior_predictive,
            observed_data=observed_data,
            log_likelihood=log_likelihood,
            coords=coords,
            dims=dims,
        ).to_inference_data()