#ifndef STAN_MATH_PRIM_FUN_GRAD_REG_INC_BETA_HPP
#define STAN_MATH_PRIM_FUN_GRAD_REG_INC_BETA_HPP

#include <stan/math/prim/meta.hpp>
#include <stan/math/prim/fun/beta.hpp>
#include <stan/math/prim/fun/grad_inc_beta.hpp>
#include <stan/math/prim/fun/inc_beta.hpp>
#include <cmath>

namespace stan {
namespace math {

/**
 * Computes the gradients of the regularized incomplete beta
 * function.  Specifically, this function computes gradients of
 * <code>ibeta(a, b, z)</code>, with respect to the arguments
 * <code>a</code> and <code>b</code>.
 *
 * @tparam T type of arguments
 * @param[out] g1 partial derivative of <code>ibeta(a, b, z)</code>
 * with respect to <code>a</code>
 * @param[out] g2 partial derivative of <code>ibeta(a, b,
 * z)</code> with respect to <code>b</code>
 * @param[in] a a
 * @param[in] b b
 * @param[in] z z
 * @param[in] digammaA the value of <code>digamma(a)</code>
 * @param[in] digammaB the value of <code>digamma(b)</code>
 * @param[in] digammaSum the value of <code>digamma(a + b)</code>
 * @param[in] betaAB the value of <code>beta(a, b)</code>
 */
template <typename T>
void grad_reg_inc_beta(T& g1, T& g2, const T& a, const T& b, const T& z,
                       const T& digammaA, const T& digammaB,
                       const T& digammaSum, const T& betaAB) {
  using std::exp;
  T dBda = 0;
  T dBdb = 0;
  grad_inc_beta(dBda, dBdb, a, b, z);
  T b1 = beta(a, b) * inc_beta(a, b, z);
  g1 = (dBda - b1 * (digammaA - digammaSum)) / betaAB;
  g2 = (dBdb - b1 * (digammaB - digammaSum)) / betaAB;
}

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