// Arguments: Doubles, Doubles, Doubles
#include <stan/math/prim/prob/logistic_cdf.hpp>
#include <stan/math/prim/fun/exp.hpp>

using stan::math::var;
using std::numeric_limits;
using std::vector;

class AgradCdfLogistic : public AgradCdfTest {
 public:
  void valid_values(vector<vector<double> >& parameters, vector<double>& cdf) {
    vector<double> param(3);

    param[0] = 3.0;  // y
    param[1] = 0.5;  // Location
    param[2] = 3.3;  // Scale
    parameters.push_back(param);
    cdf.push_back(0.68082717327852959599);  // expected cdf
  }

  void invalid_values(vector<size_t>& index, vector<double>& value) {
    // mu
    index.push_back(1U);
    value.push_back(-numeric_limits<double>::infinity());

    index.push_back(1U);
    value.push_back(numeric_limits<double>::infinity());

    // sigma
    index.push_back(2U);
    value.push_back(-1.0);

    index.push_back(2U);
    value.push_back(0.0);

    index.push_back(2U);
    value.push_back(numeric_limits<double>::infinity());
  }

  bool has_lower_bound() { return false; }

  bool has_upper_bound() { return false; }

  template <typename T_y, typename T_loc, typename T_scale, typename T3,
            typename T4, typename T5>
  stan::return_type_t<T_y, T_loc, T_scale> cdf(const T_y& y, const T_loc& mu,
                                               const T_scale& sigma, const T3&,
                                               const T4&, const T5&) {
    return stan::math::logistic_cdf(y, mu, sigma);
  }

  template <typename T_y, typename T_loc, typename T_scale, typename T3,
            typename T4, typename T5>
  stan::return_type_t<T_y, T_loc, T_scale> cdf_function(const T_y& y,
                                                        const T_loc& mu,
                                                        const T_scale& sigma,
                                                        const T3&, const T4&,
                                                        const T5&) {
    return 1.0 / (1.0 + exp(-(y - mu) / sigma));
  }
};
