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Home/ Questions/Q 6793221
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Editorial Team
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Editorial Team
Asked: May 26, 20262026-05-26T18:04:29+00:00 2026-05-26T18:04:29+00:00

I’m testing out user defined literals. I want to make _fac return the factorial

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I’m testing out user defined literals. I want to make _fac return the factorial of the number.

Having it call a constexpr function works, however it doesn’t let me do it with templates as the compiler complains that the arguments are not and cannot be constexpr.

I’m confused by this – aren’t literals constant expressions? The 5 in 5_fac is always a literal that can be evaluated during compile time, so why can’t I use it as such?

First method:

constexpr int factorial_function(int x) {
  return (x > 0) ? x * factorial_function(x - 1) : 1;
}

constexpr int operator "" _fac(unsigned long long x) {
  return factorial_function(x); // this works
}

Second method:

template <int N> struct factorial_template {
  static const unsigned int value = N * factorial_template<N - 1>::value;
};
template <> struct factorial_template<0> {
  static const unsigned int value = 1;
};

constexpr int operator "" _fac(unsigned long long x) {
  return factorial_template<x>::value; // doesn't work - x is not a constexpr
}
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1 Answer

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  1. Editorial Team
    Editorial Team
    2026-05-26T18:04:30+00:00Added an answer on May 26, 2026 at 6:04 pm

    This is how I ended up doing it:

    template <typename t>
    constexpr t pow(t base, int exp) {
      return (exp > 0) ? base * pow(base, exp-1) : 1;
    };
    
    template <char...> struct literal;
    template <> struct literal<> {
      static const unsigned int to_int = 0;
    };
    template <char c, char ...cv> struct literal<c, cv...> {
      static const unsigned int to_int = (c - '0') * pow(10, sizeof...(cv)) + literal<cv...>::to_int;
    };
    
    template <int N> struct factorial {
      static const unsigned int value = N * factorial<N - 1>::value;
    };
    template <> struct factorial<0> {
      static const unsigned int value = 1;
    };
    
    template <char ...cv>
    constexpr unsigned int operator "" _fac()
    {
      return factorial<literal<cv...>::to_int>::value;
    }
    

    Huge thanks to KerrekSB!

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