log.hpp

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#ifndef STAN_MATH_PRIM_FUN_LOG_HPP
#define STAN_MATH_PRIM_FUN_LOG_HPP
 
#include <stan/math/prim/meta.hpp>
#include <stan/math/prim/fun/Eigen.hpp>
#include <stan/math/prim/fun/constants.hpp>
#include <stan/math/prim/fun/isinf.hpp>
#include <stan/math/prim/fun/is_inf.hpp>
#include <stan/math/prim/fun/is_nan.hpp>
#include <stan/math/prim/functor/apply_scalar_unary.hpp>
#include <stan/math/prim/functor/apply_vector_unary.hpp>
#include <cmath>
#include <complex>
#include <limits>
 
namespace stan {
namespace math {
 
template <typename T, require_arithmetic_t<T>* = nullptr>
inline auto log(const T x) {
  return std::log(x);
}
 
template <typename T, require_complex_t<T>* = nullptr>
inline auto log(const T x) {
  return std::log(x);
}
 
struct log_fun {
  template <typename T>
  static inline auto fun(const T& x) {
    return log(x);
  }
};
 
template <typename Container, require_ad_container_t<Container>* = nullptr>
inline auto log(const Container& x) {
  return apply_scalar_unary<log_fun, Container>::apply(x);
}
 
template <typename Container,
          require_container_bt<std::is_arithmetic, Container>* = nullptr>
inline auto log(const Container& x) {
  return apply_vector_unary<Container>::apply(
      x, [](const auto& v) { return v.array().log(); });
}
 
namespace internal {
template <typename V>
inline std::complex<V> complex_log(const std::complex<V>& z) {
  if ((is_nan(z.real()) && is_inf(z.imag()))
      || (is_inf(z.real()) && is_nan(z.imag()))) {
    return {INFTY, NOT_A_NUMBER};
  }
  V r = sqrt(norm(z));
  V theta = arg(z);
  return {log(r), theta};
}
}  // namespace internal
 
}  // namespace math
}  // namespace stan
#endif