logistic_rng.hpp

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#ifndef STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_RNG_HPP
#define STAN_MATH_PRIM_SCAL_PROB_LOGISTIC_RNG_HPP

#include <stan/math/prim/scal/err/check_consistent_sizes.hpp>
#include <stan/math/prim/scal/err/check_finite.hpp>
#include <stan/math/prim/scal/err/check_positive_finite.hpp>
#include <stan/math/prim/scal/meta/max_size.hpp>
#include <stan/math/prim/scal/meta/scalar_seq_view.hpp>
#include <stan/math/prim/scal/meta/VectorBuilder.hpp>
#include <boost/random/exponential_distribution.hpp>
#include <boost/random/variate_generator.hpp>

namespace stan {
namespace math {

/**
 * Return a Logistic random variate for the given location and scale
 * using the specified random number generator.
 *
 * mu and sigma can each be a scalar or a one-dimensional container. Any
 * non-scalar inputs must be the same size.
 *
 * @tparam T_loc Type of location parameter
 * @tparam T_scale Type of scale parameter
 * @tparam RNG type of random number generator
 * @param mu (Sequence of) location parameter(s)
 * @param sigma (Sequence of) scale parameter(s)
 * @param rng random number generator
 * @return (Sequence of) Logistic random variate(s)
 * @throw std::domain_error if mu is infinite or sigma is nonpositive
 * @throw std::invalid_argument if non-scalar arguments are of different
 * sizes
 */
template <typename T_loc, typename T_scale, class RNG>
inline typename VectorBuilder<true, double, T_loc, T_scale>::type logistic_rng(
    const T_loc& mu, const T_scale& sigma, RNG& rng) {
  using boost::random::exponential_distribution;
  using boost::variate_generator;
  static const char* function = "logistic_rng";

  check_finite(function, "Location parameter", mu);
  check_positive_finite(function, "Scale parameter", sigma);
  check_consistent_sizes(function, "Location parameter", mu, "Scale Parameter",
                         sigma);

  scalar_seq_view<T_loc> mu_vec(mu);
  scalar_seq_view<T_scale> sigma_vec(sigma);
  size_t N = max_size(mu, sigma);
  VectorBuilder<true, double, T_loc, T_scale> output(N);

  variate_generator<RNG&, exponential_distribution<> > exp_rng(
      rng, exponential_distribution<>(1));
  for (size_t n = 0; n < N; ++n)
    output[n] = mu_vec[n] - sigma_vec[n] * std::log(exp_rng() / exp_rng());

  return output.data();
}

}  // namespace math
}  // namespace stan
#endif