inv_cloglog.hpp

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#ifndef STAN_MATH_PRIM_FUN_INV_CLOGLOG_HPP
#define STAN_MATH_PRIM_FUN_INV_CLOGLOG_HPP
 
#include <stan/math/prim/meta.hpp>
#include <stan/math/prim/fun/exp.hpp>
#include <stan/math/prim/functor/apply_scalar_unary.hpp>
#include <stan/math/prim/functor/apply_vector_unary.hpp>
#include <cmath>
 
namespace stan {
namespace math {
 
template <typename T, require_arithmetic_t<T>* = nullptr>
inline auto inv_cloglog(const T x) {
  return 1. - std::exp(-std::exp(x));
}
 
template <typename T, require_complex_t<T>* = nullptr>
inline auto inv_cloglog(const T& x) {
  return 1. - exp(-exp(x));
}
 
struct inv_cloglog_fun {
  template <typename T>
  static inline auto fun(const T& x) {
    return inv_cloglog(x);
  }
};
 
template <typename Container, require_ad_container_t<Container>* = nullptr>
inline auto inv_cloglog(const Container& x) {
  return apply_scalar_unary<inv_cloglog_fun, Container>::apply(x);
}
 
template <typename Container,
          require_container_bt<std::is_arithmetic, Container>* = nullptr>
inline auto inv_cloglog(const Container& x) {
  return apply_vector_unary<Container>::apply(
      x, [](const auto& v) { return 1 - (-v.array().exp()).exp(); });
}
 
}  // namespace math
}  // namespace stan
 
#endif