pareto_rng.hpp

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#ifndef STAN_MATH_PRIM_PROB_PARETO_RNG_HPP
#define STAN_MATH_PRIM_PROB_PARETO_RNG_HPP
 
#include <stan/math/prim/meta.hpp>
#include <stan/math/prim/err.hpp>
#include <stan/math/prim/fun/max_size.hpp>
#include <stan/math/prim/fun/size_zero.hpp>
#include <stan/math/prim/fun/scalar_seq_view.hpp>
#include <stan/math/prim/fun/to_ref.hpp>
#include <boost/random/exponential_distribution.hpp>
#include <boost/random/variate_generator.hpp>
#include <cmath>
 
namespace stan {
namespace math {
 
template <typename T_shape, typename T_scale, class RNG>
inline typename VectorBuilder<true, double, T_shape, T_scale>::type pareto_rng(
    const T_scale& y_min, const T_shape& alpha, RNG& rng) {
  using boost::exponential_distribution;
  using boost::variate_generator;
  static constexpr const char* function = "pareto_rng";
  check_consistent_sizes(function, "Scale Parameter", y_min, "Shape parameter",
                         alpha);
  if (size_zero(y_min, alpha)) {
    return {};
  }
  const auto& y_min_ref = to_ref(y_min);
  const auto& alpha_ref = to_ref(alpha);
  check_positive_finite(function, "Scale parameter", y_min_ref);
  check_positive_finite(function, "Shape parameter", alpha_ref);
 
  scalar_seq_view<T_scale> y_min_vec(y_min_ref);
  scalar_seq_view<T_shape> alpha_vec(alpha_ref);
  size_t N = max_size(y_min, alpha);
  VectorBuilder<true, double, T_scale, T_shape> output(N);
 
  for (size_t n = 0; n < N; ++n) {
    variate_generator<RNG&, exponential_distribution<> > exp_rng(
        rng, exponential_distribution<>(alpha_vec[n]));
    output[n] = y_min_vec[n] * std::exp(exp_rng());
  }
 
  return output.data();
}
 
}  // namespace math
}  // namespace stan
#endif