hypot.hpp

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#ifndef STAN_MATH_FWD_FUN_HYPOT_HPP
#define STAN_MATH_FWD_FUN_HYPOT_HPP
 
#include <stan/math/fwd/meta.hpp>
#include <stan/math/fwd/core.hpp>
#include <stan/math/prim/fun/hypot.hpp>
#include <cmath>
 
namespace stan {
namespace math {
 
template <typename T>
inline fvar<T> hypot(const fvar<T>& x1, const fvar<T>& x2) {
  using std::sqrt;
  T u = hypot(x1.val_, x2.val_);
  return fvar<T>(u, (x1.d_ * x1.val_ + x2.d_ * x2.val_) / u);
}
 
template <typename T>
inline fvar<T> hypot(const fvar<T>& x1, double x2) {
  using std::sqrt;
  T u = hypot(x1.val_, x2);
  return fvar<T>(u, (x1.d_ * x1.val_) / u);
}
 
template <typename T>
inline fvar<T> hypot(double x1, const fvar<T>& x2) {
  using std::sqrt;
  T u = hypot(x1, x2.val_);
  return fvar<T>(u, (x2.d_ * x2.val_) / u);
}
 
}  // namespace math
}  // namespace stan
#endif