Why won't smaller chrono::durations subtract?

stewsims

I am trying to use chrono durations as follows but if I increase the ratio to be anything above std::ratio<1,50> it throws an error during compilation that error: no viable overloaded '-=' for when elapsed -= tickeRate occurs.

int main()
{
    using clock   = std::chrono::high_resolution_clock;
    using seconds = std::chrono::seconds;

    std::chrono::duration<long long, std::ratio<1,20>> tickRate(1);
//    std::chrono::duration<long long, std::ratio<1,60>> tickRate(1);

    clock::time_point start, stop;

    start = clock::now();
    std::this_thread::sleep_for(seconds(1));
    stop  = clock::now();

    clock::duration elapsed = stop - start;

    int i = 0;
    while (elapsed >= tickRate)
    {
        elapsed -= tickRate;
        i++;
    }

    std::cout << "ticked " << i << " times." << std::endl;

    return 0;
}

The first question is, why does it only throw the error when tickRate is > 1/50? The second is, what topic can I study so that I can reason through problems like this in the future?

Edit:

Compiler version is: Apple LLVM version 7.0.2 (clang-700.1.81)

Additionally this actually works with smaller numbers but not quite sure which. For me, 1/51 .. 1/99 fail, but 1/100 starts working fine again. I tried doubles for grins and 1/2500, 1/3600 throw the same error. Now I'm even more confused.

lz96
template< class Rep2, class Period2 >
constexpr duration( const duration<Rep2,Period2>& d );
(4)   (since C++11)

Constructs a duration by converting d to an appropriate period and tick count, as if by std::chrono::duration_cast(d).count(). In order to prevent truncation during conversion, this constructor only participates in overload resolution if no overflow is induced by conversion and:

(1) std::chrono::treat_as_floating_point<rep>::value == true

or both:

(2)std::ratio_divide<Period2, period>::den == 1, and std::chrono::treat_as_floating_point<Rep2>::value == false. (that is, either the duration uses floating-point ticks, or Period2 is exactly divisible by period)

In this case, the type of elapsed is std::chrono::duration<long long, std::ratio<1,20>>, while that of tickRate is std::chrono::high_resolution_clock::duration, which is std::chrono::duration<long int, std::ratio<1l, 1000000000l>> on my amd64 GCC6.1.

When you perform a -= operation on elapsed, the compiler will try to convert tickRate to the same type of elapsed itself.

Since long long is not an floating point type, clause 2 will be suitable for this case. This conversion is only valid when std::high_resolution_clock::period.den is divisible by your denominator.

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