#ifndef STAN_MATH_REV_FUN_EXP_HPP
#define STAN_MATH_REV_FUN_EXP_HPP

#include <stan/math/rev/meta.hpp>
#include <stan/math/rev/core.hpp>
#include <stan/math/prim/fun/cos.hpp>
#include <stan/math/prim/fun/exp.hpp>
#include <stan/math/rev/fun/is_inf.hpp>
#include <stan/math/prim/fun/isinf.hpp>
#include <stan/math/prim/fun/isfinite.hpp>
#include <stan/math/rev/fun/is_nan.hpp>
#include <stan/math/rev/fun/cos.hpp>
#include <stan/math/rev/fun/sin.hpp>
#include <cmath>
#include <complex>

namespace stan {
namespace math {

/**
 * Return the exponentiation of the specified variable (cmath).
 *
   \f[
   \mbox{exp}(x) =
   \begin{cases}
     e^x & \mbox{if } -\infty\leq x \leq \infty \\[6pt]
     \textrm{NaN} & \mbox{if } x = \textrm{NaN}
   \end{cases}
   \f]

   \f[
   \frac{\partial\, \mbox{exp}(x)}{\partial x} =
   \begin{cases}
     e^x & \mbox{if } -\infty\leq x\leq \infty \\[6pt]
     \textrm{NaN} & \mbox{if } x = \textrm{NaN}
   \end{cases}
   \f]
 *
 * @param a Variable to exponentiate.
 * @return Exponentiated variable.
 */
inline var exp(const var& a) {
  return make_callback_var(std::exp(a.val()), [a](auto& vi) mutable {
    a.adj() += vi.adj() * vi.val();
  });
}

/**
 * Return the exponentiation (base e) of the specified complex number.
 * @param z argument
 * @return exponentiation of argument
 */
inline std::complex<var> exp(const std::complex<var>& z) {
  return internal::complex_exp(z);
}

/**
 * Return the exponentiation of the elements of x
 *
 * @tparam T type of x
 * @param x argument
 * @return elementwise exponentiation of x
 */
template <typename T, require_var_matrix_t<T>* = nullptr>
inline auto exp(const T& x) {
  return make_callback_var(
      x.val().array().exp().matrix(), [x](const auto& vi) mutable {
        x.adj() += (vi.val().array() * vi.adj().array()).matrix();
      });
}

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