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

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

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

    param[0] = 0.0;  // y
    param[1] = 0.0;  // mu
    param[2] = 1.0;  // beta
    parameters.push_back(param);
    cdf.push_back(
        0.3678794411714423215955237701614608674458111310317678);  // expected
                                                                  // cdf

    param[0] = 1.0;  // y
    param[1] = 0.0;  // mu
    param[2] = 1.0;  // beta
    parameters.push_back(param);
    cdf.push_back(
        0.6922006275553463538654219971827897614906780292975447);  // expected
                                                                  // cdf

    param[0] = -2.0;  // y
    param[1] = 0.0;   // mu
    param[2] = 1.0;   // beta
    parameters.push_back(param);
    cdf.push_back(
        0.0006179789893310934986195216040530260548886143651007);  // expected
                                                                  // cdf

    param[0] = -1.5;  // y
    param[1] = 1.9;   // mu
    param[2] = 7.2;   // beta
    parameters.push_back(param);
    cdf.push_back(0.20118031381610754216);  // expected cdf
  }

  void invalid_values(vector<size_t>& index, vector<double>& value) {
    // y

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

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

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

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

    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& beta, const T3&,
                                               const T4&, const T5&) {
    return stan::math::gumbel_cdf(y, mu, beta);
  }

  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& beta,
                                                        const T3&, const T4&,
                                                        const T5&) {
    return exp(-exp(-(y - mu) / beta));
  }
};
