log_falling_factorial.hpp

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#ifndef STAN_MATH_REV_FUN_LOG_FALLING_FACTORIAL_HPP
#define STAN_MATH_REV_FUN_LOG_FALLING_FACTORIAL_HPP
 
#include <stan/math/rev/meta.hpp>
#include <stan/math/rev/core.hpp>
#include <stan/math/rev/fun/digamma.hpp>
#include <stan/math/prim/fun/constants.hpp>
#include <stan/math/prim/fun/is_any_nan.hpp>
#include <stan/math/prim/fun/log_falling_factorial.hpp>
 
namespace stan {
namespace math {
 
namespace internal {
 
class log_falling_factorial_vv_vari : public op_vv_vari {
 public:
  log_falling_factorial_vv_vari(vari* avi, vari* bvi)
      : op_vv_vari(log_falling_factorial(avi->val_, bvi->val_), avi, bvi) {}
  void chain() {
    if (unlikely(is_any_nan(avi_->val_, bvi_->val_))) {
      avi_->adj_ = NOT_A_NUMBER;
      bvi_->adj_ = NOT_A_NUMBER;
    } else {
      avi_->adj_
          += adj_
             * (digamma(avi_->val_ + 1) - digamma(avi_->val_ - bvi_->val_ + 1));
      bvi_->adj_ += adj_ * digamma(avi_->val_ - bvi_->val_ + 1);
    }
  }
};
 
class log_falling_factorial_vd_vari : public op_vd_vari {
 public:
  log_falling_factorial_vd_vari(vari* avi, double b)
      : op_vd_vari(log_falling_factorial(avi->val_, b), avi, b) {}
  void chain() {
    if (unlikely(is_any_nan(avi_->val_, bd_))) {
      avi_->adj_ = NOT_A_NUMBER;
    } else {
      avi_->adj_
          += adj_ * (digamma(avi_->val_ + 1) - digamma(avi_->val_ - bd_ + 1));
    }
  }
};
 
class log_falling_factorial_dv_vari : public op_dv_vari {
 public:
  log_falling_factorial_dv_vari(double a, vari* bvi)
      : op_dv_vari(log_falling_factorial(a, bvi->val_), a, bvi) {}
  void chain() {
    if (unlikely(is_any_nan(ad_, bvi_->val_))) {
      bvi_->adj_ = NOT_A_NUMBER;
    } else {
      bvi_->adj_ += adj_ * digamma(ad_ - bvi_->val_ + 1);
    }
  }
};
}  // namespace internal
 
inline var log_falling_factorial(const var& a, double b) {
  return var(new internal::log_falling_factorial_vd_vari(a.vi_, b));
}
 
inline var log_falling_factorial(const var& a, const var& b) {
  return var(new internal::log_falling_factorial_vv_vari(a.vi_, b.vi_));
}
 
inline var log_falling_factorial(double a, const var& b) {
  return var(new internal::log_falling_factorial_dv_vari(a, b.vi_));
}
 
}  // namespace math
}  // namespace stan
#endif