text: #ifndef STAN_MATH_PRIM_MAT_PROB_WISHART_LOG_HPP
  #define STAN_MATH_PRIM_MAT_PROB_WISHART_LOG_HPP
  
  #include <stan/math/prim/meta.hpp>
  #include <stan/math/prim/mat/fun/Eigen.hpp>
  #include <stan/math/prim/mat/prob/wishart_lpdf.hpp>
  #include <boost/math/tools/promotion.hpp>
  
  namespace stan {
  namespace math {
  
  /**
   * The log of the Wishart density for the given W, degrees of freedom,
   * and scale matrix.
   *
   * The scale matrix, S, must be k x k, symmetric, and semi-positive definite.
   * Dimension, k, is implicit.
   * nu must be greater than k-1
   *
   * \f{eqnarray*}{
   W &\sim& \mbox{\sf{Wishart}}_{\nu} (S) \\
   \log (p (W \, |\, \nu, S) ) &=& \log \left( \left(2^{\nu k/2} \pi^{k (k-1) /4}
   \prod_{i=1}^k{\Gamma (\frac{\nu + 1 - i}{2})} \right)^{-1} \times \left| S
   \right|^{-\nu/2} \left| W \right|^{(\nu - k - 1) / 2}
   \times \exp (-\frac{1}{2} \mbox{tr} (S^{-1} W)) \right) \\
   &=& -\frac{\nu k}{2}\log(2) - \frac{k (k-1)}{4} \log(\pi) - \sum_{i=1}^{k}{\log
   (\Gamma (\frac{\nu+1-i}{2}))}
   -\frac{\nu}{2} \log(\det(S)) + \frac{\nu-k-1}{2}\log (\det(W)) - \frac{1}{2}
   \mbox{tr} (S^{-1}W) \f}
   *
   * @deprecated use <code>wishart_lpdf</code>
   *
   * @param W A scalar matrix
   * @param nu Degrees of freedom
   * @param S The scale matrix
   * @return The log of the Wishart density at W given nu and S.
   * @throw std::domain_error if nu is not greater than k-1
   * @throw std::domain_error if S is not square, not symmetric, or not
   semi-positive definite.
   * @tparam T_y Type of scalar.
   * @tparam T_dof Type of degrees of freedom.
   * @tparam T_scale Type of scale.
   */
  template <bool propto, typename T_y, typename T_dof, typename T_scale>
  return_type_t<T_y, T_dof, T_scale> wishart_log(
      const Eigen::Matrix<T_y, Eigen::Dynamic, Eigen::Dynamic>& W,
      const T_dof& nu,
      const Eigen::Matrix<T_scale, Eigen::Dynamic, Eigen::Dynamic>& S) {
    return wishart_lpdf<propto, T_y, T_dof, T_scale>(W, nu, S);
  }
  
  /**
   * @deprecated use <code>wishart_lpdf</code>
   */
  template <typename T_y, typename T_dof, typename T_scale>
  inline return_type_t<T_y, T_dof, T_scale> wishart_log(
      const Eigen::Matrix<T_y, Eigen::Dynamic, Eigen::Dynamic>& W,
      const T_dof& nu,
      const Eigen::Matrix<T_scale, Eigen::Dynamic, Eigen::Dynamic>& S) {
    return wishart_lpdf<T_y, T_dof, T_scale>(W, nu, S);
  }
  
  }  // namespace math
  }  // namespace stan
  #endif
  