log_determinant_spd.hpp

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#ifndef STAN_MATH_PRIM_FUN_LOG_DETERMINANT_SPD_HPP
#define STAN_MATH_PRIM_FUN_LOG_DETERMINANT_SPD_HPP
 
#include <stan/math/prim/err.hpp>
#include <stan/math/prim/fun/Eigen.hpp>
#include <stan/math/prim/fun/log.hpp>
#include <stan/math/prim/fun/sum.hpp>
#include <stan/math/prim/fun/to_ref.hpp>
#include <cmath>
 
namespace stan {
namespace math {
 
template <typename EigMat, require_eigen_t<EigMat>* = nullptr,
          require_not_vt_var<EigMat>* = nullptr>
inline value_type_t<EigMat> log_determinant_spd(const EigMat& m) {
  const auto& m_ref = to_ref(m);
  check_symmetric("log_determinant_spd", "m", m_ref);
  if (m.size() == 0) {
    return 0;
  }
  return sum(log(m_ref.ldlt().vectorD().array()));
}
 
}  // namespace math
}  // namespace stan
 
#endif