#ifndef STAN_MATH_PRIM_MAT_ERR_CHECK_POS_DEFINITE_HPP
#define STAN_MATH_PRIM_MAT_ERR_CHECK_POS_DEFINITE_HPP

#include <stan/math/prim/mat/fun/Eigen.hpp>
#include <stan/math/prim/meta.hpp>
#include <stan/math/prim/scal/err/check_not_nan.hpp>
#include <stan/math/prim/scal/err/domain_error.hpp>
#include <stan/math/prim/mat/err/check_symmetric.hpp>
#include <stan/math/prim/mat/err/constraint_tolerance.hpp>
#include <stan/math/prim/scal/err/check_positive.hpp>
#include <stan/math/prim/mat/fun/value_of_rec.hpp>

namespace stan {
namespace math {

/**
 * Check if the specified square, symmetric matrix is positive definite.
 * @tparam T_y Type of scalar of the matrix
 * @param function Function name (for error messages)
 * @param name Variable name (for error messages)
 * @param y Matrix to test
 * @throw <code>std::invalid_argument</code> if the matrix is not square
 * or if the matrix has 0 size.
 * @throw <code>std::domain_error</code> if the matrix is not symmetric,
 * if it is not positive definite, or if any element is <code>NaN</code>
 */
template <typename T_y>
inline void check_pos_definite(const char* function, const char* name,
                               const Eigen::Matrix<T_y, -1, -1>& y) {
  check_symmetric(function, name, y);
  check_positive(function, name, "rows", y.rows());
  if (y.rows() == 1 && !(y(0, 0) > CONSTRAINT_TOLERANCE)) {
    domain_error(function, name, "is not positive definite.", "");
  }

  Eigen::LDLT<Eigen::MatrixXd> cholesky = value_of_rec(y).ldlt();
  if (cholesky.info() != Eigen::Success || !cholesky.isPositive()
      || (cholesky.vectorD().array() <= 0.0).any()) {
    domain_error(function, name, "is not positive definite.", "");
  }
  check_not_nan(function, name, y);
}

/**
 * Check if the specified LDLT transform of a matrix is positive definite.
 * @tparam Derived Derived type of the Eigen::LDLT transform.
 * @param function Function name (for error messages)
 * @param name Variable name (for error messages)
 * @param cholesky Eigen::LDLT to test, whose progenitor
 * must not have any NaN elements
 * @throw <code>std::domain_error</code> if the matrix is not
 * positive definite
 */
template <typename Derived>
inline void check_pos_definite(const char* function, const char* name,
                               const Eigen::LDLT<Derived>& cholesky) {
  if (cholesky.info() != Eigen::Success || !cholesky.isPositive()
      || !(cholesky.vectorD().array() > 0.0).all()) {
    domain_error(function, "LDLT decomposition of", " failed", name);
  }
}

/**
 * Check if the specified LLT decomposition transform resulted in
 * <code>Eigen::Success</code>
 * @tparam Derived Derived type of the Eigen::LLT transform.
 * @param function Function name (for error messages)
 * @param name Variable name (for error messages)
 * @param cholesky Eigen::LLT to test, whose progenitor
 * must not have any NaN elements
 * @throw <code>std::domain_error</code> if the diagonal of the
 * L matrix is not positive
 */
template <typename Derived>
inline void check_pos_definite(const char* function, const char* name,
                               const Eigen::LLT<Derived>& cholesky) {
  if (cholesky.info() != Eigen::Success
      || !(cholesky.matrixLLT().diagonal().array() > 0.0).all()) {
    domain_error(function, "Matrix", " is not positive definite", name);
  }
}

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