undefined behavior in gcd when parameters are minimum values of signed integers

common_factor_rt.hpp の 444-451 行付近にある gcd template から始め、両方の符号付きパラメーターを std::numeric_limits::min() に設定して呼び出しを再現します。再帰パスを追跡し、最小値の場合に modulo by zero に到達しなくなったことを確認します。リポジトリに関連する gcd のテスト場所が用意されている場合は、回帰テストのカバレッジを追加または更新します。

This is being reported to me via a clang-analyzer check, and it refers to the gcd template function in common_factor_rt.hpp

Integer template parameter type is a signed integer, and both parameters ('a' and 'b') are std::numeric_limits<Integer>::min.

444 template <typename Integer>
445 inline BOOST_CXX14_CONSTEXPR Integer gcd(Integer const &a, Integer const &b) BOOST_GCD_NOEXCEPT(Integer)
446 {
447     if(a == (std::numeric_limits<Integer>::min)())
448        return a == static_cast<Integer>(0) ? gcd_detail::gcd_traits<Integer>::abs(b) : boost::integer::gcd(static_cast<Integer>(a % b), b);
449     else if (b == (std::numeric_limits<Integer>::min)())
450        return b == static_cast<Integer>(0) ? gcd_detail::gcd_traits<Integer>::abs(a) : boost::integer::gcd(a, static_cast<Integer>(b % a));
451     return gcd_detail::optimal_gcd_select(static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(a)), static_cast<Integer>(gcd_detail::gcd_traits<Integer>::abs(b)));
452 }

In the initial invocation, the condition on 447 is true, and the condition on 448 is false. This leads to a recursive call to the function with parameters a=0 and b=std::numeric_limits<Integer>::min.

In the recursive call, the condition on 447 is false, the condition on 449 is true, and the condition on 450 is false. Another recursive call is on-deck with a=0 and b=b%a, But a is zero at this point. Anything mod 0 is undefined behavior.

My suggested fix is to check if a and b are the same value at the start of the function, and return a right away.