#ifndef STAN_MATH_REV_SCAL_FUN_TGAMMA_HPP
#define STAN_MATH_REV_SCAL_FUN_TGAMMA_HPP

#include <stan/math/prim/scal/fun/digamma.hpp>
#include <stan/math/prim/scal/fun/tgamma.hpp>
#include <stan/math/rev/core.hpp>

namespace stan {
  namespace math {

    namespace {
      class tgamma_vari : public op_v_vari {
      public:
        explicit tgamma_vari(vari* avi) :
          op_v_vari(tgamma(avi->val_), avi) {
        }
        void chain() {
          avi_->adj_ += adj_ * val_ * digamma(avi_->val_);
        }
      };
    }

    /**
     * Return the Gamma function applied to the specified variable (C99).
     *
     * The derivative with respect to the argument is
     *
     * \f$\frac{d}{dx} \Gamma(x) = \Gamma(x) \Psi^{(0)}(x)\f$
     *
     * where \f$\Psi^{(0)}(x)\f$ is the digamma function.
     *
       \f[
       \mbox{tgamma}(x) =
       \begin{cases}
         \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\
         \Gamma(x) & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt]
         \textrm{NaN} & \mbox{if } x = \textrm{NaN}
       \end{cases}
       \f]

       \f[
       \frac{\partial\, \mbox{tgamma}(x)}{\partial x} =
       \begin{cases}
         \textrm{error} & \mbox{if } x\in \{\dots, -3, -2, -1, 0\}\\
         \frac{\partial\, \Gamma(x)}{\partial x} & \mbox{if } x\not\in \{\dots, -3, -2, -1, 0\}\\[6pt]
         \textrm{NaN} & \mbox{if } x = \textrm{NaN}
       \end{cases}
       \f]

       \f[
       \Gamma(x)=\int_0^{\infty} u^{x - 1} \exp(-u) \, du
       \f]

       \f[
       \frac{\partial \, \Gamma(x)}{\partial x} = \Gamma(x)\Psi(x)
       \f]
     *
     * @param a Argument to function.
     * @return The Gamma function applied to the specified argument.
     */
    inline var tgamma(const var& a) {
      return var(new tgamma_vari(a.vi_));
    }

  }
}
#endif
