(. In the Operation - Modulo, we define a functionf(n) = (n mod 1) + (n mod 2) + (n mod 3) + ... + (n mod n), where n mod x denotes the remainder when dividingnbyx. Rashad interests with integers n such thatf(n) = f(n - 1), so he gave Mahmud two numbersLandR,...
is_moduloistruefor all arithmetic typesTthat handle overflows with modulo arithmetic, that is, if the result of addition, subtraction, multiplication, or division of this type would fall outside the range[min(),max()], the value returned by such operation differs from the expected value by ...
By relying on type-classes for the reification phase, we can infer these properties automatically, so that end-users do not need to specify which operation is A or AC, or which constant is a neutral element.doi:10.1007/978-3-642-25379-9_14Damien Pous...