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#' @title Samples from a Negative Binomial Logits distribution.
#'
#' @description
#' The Negative Binomial Logits distribution is a generalization of the Negative Binomial distribution where the parameter 'r'
#' (number of successes) is expressed as a function of a logit parameter. This allows for more flexible modeling of count data.
#'
#' @param total_count A numeric vector, matrix, or array representing the parameter
#' controlling the shape of the distribution. Represents the total number of trials.
#' @param logits A numeric vector, matrix, or array representing the log-odds parameter.
#' Related to the probability of success.
#' @param shape A numeric vector. A multi-purpose argument for shaping. When `sample=False`
#' (model building), this is used with `.expand(shape)` to set the distribution's batch shape.
#' When `sample=True` (direct sampling), this is used as `sample_shape` to draw a raw JAX
#' array of the given shape.
#' @param event An integer representing the number of batch dimensions to reinterpret as event
#' dimensions (used in model building).
#' @param mask A logical vector, matrix, or array. Optional boolean array to mask observations.
#' @param create_obj A logical value. If `TRUE`, returns the raw BI distribution object
#' instead of creating a sample site. This is essential for building complex distributions
#' like `MixtureSameFamily`.
#' @param validate_args Logical: Whether to validate parameter values. Defaults to `reticulate::py_none()`.
#' @param sample A logical value that controls the function's behavior. If `TRUE`,
#' the function will directly draw samples from the distribution. If `FALSE`,
#' it will create a random variable within a model. Defaults to `FALSE`.
#' @param seed An integer used to set the random seed for reproducibility when
#' `sample = TRUE`. This argument has no effect when `sample = FALSE`, as
#' randomness is handled by the model's inference engine. Defaults to 0.
#' @param obs A numeric vector or array of observed values. If provided, the
#' random variable is conditioned on these values. If `NULL`, the variable is
#' treated as a latent (unobserved) variable. Defaults to `NULL`.
#' @param name A character string representing the name of the random variable
#' within a model. This is used to uniquely identify the variable. Defaults to 'x'.
#' @param to_jax Boolean. Indicates whether to return a JAX array or not.
#'
#' @return
#' - When \code{sample=FALSE}, a BI Negative Binomial Logits distribution object (for model building).
#'
#' - When \code{sample=TRUE}, a JAX array of samples drawn from the Negative Binomial Logits distribution (for direct sampling).
#'
#' - When \code{create_obj=TRUE}, the raw BI distribution object (for advanced use cases).
#'
#' @seealso this is a wrapper from \url{https://num.pyro.ai/en/stable/distributions.html#negativebinomiallogits}
#'
#' @examples
#' \donttest{
#' library(BayesForge)
#' m=importBF(platform='cpu')
#' bf.dist.negative_binomial_logits(logits = c(0.2, 0.3, 0.5), total_count = 10, sample = TRUE)
#' }
#' @export
bf.dist.negative_binomial_logits=function(total_count, logits, validate_args=py_none(), name='x', obs=py_none(), mask=py_none(), sample=FALSE, seed = py_none(), shape=c(), event=0, create_obj=FALSE, to_jax = TRUE) {
shape=do.call(tuple, as.list(as.integer(shape)))
if (!.BF_env$.py$is_none(seed)){seed=as.integer(seed);}
total_count=.BF_env$jnp$array(as.integer(total_count));
.BF_env$.bf_instance$dist$negative_binomial_logits(
total_count,
logits = .BF_env$jnp$array(logits),
validate_args= validate_args, name= name, obs= obs, mask= mask, sample= sample, seed= seed, shape= shape, event= event, create_obj= create_obj, to_jax = to_jax)
}
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