Modulo operation

The modulo operation returns the integer remainder of a division operation; the operator is the reserved name MOD.

Rules:

• The operator name MOD must be preceded and followed by a space; otherwise, this string is interpreted as part of a variable name.

• The result is calculated according to the following formula:

A MOD B = A - (A / B) * B

Example

Assignment	Result
/Y = 9 MOD 4	1
/Z = -9 MOD 4	-1

Table 1:

The variable Y is assigned the value 1, since the expression is calculated as follows:

9 MOD 4 = 9 - (9 / 4) * 4

First the parentheses are solved: The division operation 9 : 4 yields the number 2.25; consequently, the number 2 is inserted in the equation:

9 MOD 4 = 9 - 2 * 4

According to the rules of arithmetic, this yields 9 - 8, i.e.:

9 MOD 4 = 1

Consequently, the value -1 is yielded and assigned to variable Z.

-9 MOD 4 = -9 - (-9 / 4) * 4
                  = -9 - (-2) * 4
                  = -9 - (-8)
                  = -1