[Solved] Why does my Modulo fail ?

[TLM]

Anyone know why my Modulo formula isn't working

Code: Select all

Loop % ( dr := 6 ) * 2
	res .= Mod( A_Index-1, dr )+1 " <> " ( dd := A_Index-1 )-( dd/dr*dr )+1 "`n"

msgbox % res

Result should be:
1 <> 1
2 <> 2
3 <> 3
4 <> 4
5 <> 5
6 <> 6
1 <> 1
2 <> 2
3 <> 3
4 <> 4
5 <> 5
6 <> 6

[mikeyww]

2-1 - (1÷6×6)+1 = ?

3-1 - (2÷6×6)+1 = ?

Code: Select all

Run, calc

n - n + 1 = 1

[boiler]

Another way to look at it:

Starting right side:
( dd := A_Index-1 )-( dd/dr*dr )+1

Since dd/dr*dr is dd because we are dividing by dr then multiplying by dr (i.e., they cancel each other), it reduces to:

( dd := A_Index-1 )-( dd )+1

and dd - dd is 0 so it reduces to:
1


Note that dd/dr*dr is not dd/(dr*dr) because they are evaluated from left to right since multiplication and division are at the same order of operations. Is that perhaps the contention point?

[teadrinker]

Perhaps you meant this:

Code: Select all

Loop % ( dr := 6 ) * 2
   res .= Mod( A_Index-1, dr )+1 " <> " ( dd := A_Index-1 )-( dd//dr*dr )+1 "`n"

msgbox % res

[TLM]

Ah I figured it out. Had to floor divide the dividend by the divisor ( dd := A_Index-1 )-( dd//dr*dr )+1

Thanks for responses tho guys

edit: @teadrinker must have got it while you were posting ty