MOD

The integer values to compute the modulo of. This can be a constant value, a column, a cell range, or an expression evaluating to any of the above. For the format definition of data, see the "Macro Function Parameters" section in the chapter in this guide for your IBM® product.

divisor

The non-zero base integer to compute the modulo in respect to. This can be a constant value, a column, a cell range, or an expression evaluating to any of the above. The number of columns in divisor must equal the number of columns in data, unless divisor is a constant. For the format definition of divisor (same as data), see the "Macro Function Parameters" section in the chapter in this guide for your IBM® product.

Description

MOD calculates the remainder of dividing the specified data range by a specified value. This is computed by dividing divisor into each value and returning the remainder. It returns one new column for each input column, each containing the numbers in data modulo divisor. The remainder will have the same sign (positive or negative) as data.

If divisor is a constant, each value in the specified column is calculated modulo that value. If divisor is a column, the calculations are performed on a row-by-row basis. The values in data are calculated modulo the first row value of divisor, the second row with the second row, and so on. This row-by-row calculation produces a result for each row up to the last value of the shortest column.

If divisor is zero, a divide by zero error is returned.

The MOD operator can be abbreviated with the percent sign ( %). For example, TEMP = 5 % 3 is equivalent to TEMP = 5 MOD 3.

This macro is available in IBM® Interagir.

Examples

TEMP = 10 MOD 8 or TEMP = 10 % 8

Creates a new column named TEMP containing the value 2.

TEMP = -10 % 8

Creates a new column named TEMP containing the value -2.

TEMP = V1 % 8

Creates a new column named TEMP, where each value is the contents of column V1, modulo eight.

TEMP = V1:V3 % 2

Creates three new columns named TEMP, VX, and VY. The values in the TEMP column are the values modulo two of the contents of column V1, the values of the VX column are the values modulo two of the contents of column V2, and the values of the VY column are the values modulo two of the contents of column V3.

TEMP = V1 % V1

Creates a new column named TEMP, containing a zero for each entry in the column V1. This is because every number modulo itself is zero.

TEMP = V1 % V2

Creates a new column named TEMP, where each value is the row value of column V1 modulo the corresponding row value of column V2. Note that if V2=V1, then all zeros are returned, as in the previous example.

TEMP = V1:V3 % V4:V6

Creates three new columns named TEMP, VX, and VY. The column TEMP contains the values in V1 modulo the corresponding row values of column V4. The column VX contains the results of column V2 modulo V5. The column VY contains the results of column V3 modulo V6.

TEMP = V1[10:20] % V2 or TEMP = V1[10:20] % V2[1:11]

Creates a new column named TEMP, where the first 11 cells are the values of the values in rows 10-20 of column V1 modulo the values in rows 1-11 of column V2. The other cells in TEMP are empty.

Related Functions

Function	Description
DIV	Divides one specified data range by another
MOD	Computes the modulo of the contents of the specified data range