How come on a calculator -1 mod 26 = 25, but in C or Java -1 % 26 == -1. I need a program which solves it like the calculator. Is there a difference between the two?
How come on a calculator -1 mod 26 = 25, but in C or
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How come on a calculator -1 mod 26 = 25, but in C or Java -1 % 26 == -1. I need a program which solves it like the calculator. Is there a difference between the two?
Both answers (25 and -1) are valid. It’s just that different systems have different conventions.
The one I see the most common (in mathematics) is:
Where
floor()is to round towards negative infinity.This is the convention that your calculator is giving you. (Mathematica also uses this convention.)
The one I think most programming languages use is:
Where
integerpart()is the same as a (float -> integer) cast. (round towards zero)Some conventions like to keep the remainder the same sign as one of the operands.
The same thing applies to the sign of the divider. Different conventions are different.