hessian.hpp

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#ifndef STAN_MATH_MIX_FUNCTOR_HESSIAN_HPP
#define STAN_MATH_MIX_FUNCTOR_HESSIAN_HPP
 
#include <stan/math/prim/fun/Eigen.hpp>
#include <stan/math/rev/core.hpp>
#include <stan/math/fwd/core.hpp>
#include <stdexcept>
 
namespace stan {
namespace math {
 
template <typename F>
inline void hessian(const F& f,
                    const Eigen::Matrix<double, Eigen::Dynamic, 1>& x,
                    double& fx, Eigen::Matrix<double, Eigen::Dynamic, 1>& grad,
                    Eigen::Matrix<double, Eigen::Dynamic, Eigen::Dynamic>& H) {
  H.resize(x.size(), x.size());
  grad.resize(x.size());
 
  // need to compute fx even with size = 0
  if (x.size() == 0) {
    fx = f(x);
    return;
  }
  for (int i = 0; i < x.size(); ++i) {
    // Run nested autodiff in this scope
    nested_rev_autodiff nested;
 
    Eigen::Matrix<fvar<var>, Eigen::Dynamic, 1> x_fvar(x.size());
    for (int j = 0; j < x.size(); ++j) {
      x_fvar(j) = fvar<var>(x(j), i == j);
    }
    fvar<var> fx_fvar = f(x_fvar);
    grad(i) = fx_fvar.d_.val();
    if (i == 0) {
      fx = fx_fvar.val_.val();
    }
    stan::math::grad(fx_fvar.d_.vi_);
    for (int j = 0; j < x.size(); ++j) {
      H(i, j) = x_fvar(j).val_.adj();
    }
  }
}
 
}  // namespace math
}  // namespace stan
#endif