% (Modulo) operator

Available with Spatial Analyst license.

Available with Image Analyst license.

Summary

Finds the remainder (modulo) of the first raster when divided by the second raster on a cell-by-cell basis.

Illustration

Modulo illustration
OutRas = Raster("InRas1") % Raster("InRas2")

Discussion

When using an operator with a raster input the result will be a raster. However, if all inputs are numbers, then the result is a number.

When multiple operators are used in an expression, they are not necessarily executed in left-to-right order. The operator with the highest precedence value will be executed first. For more information on operator precedence, see operator precedence table. You can use parentheses to control the execution order.

The order of input is relevant for this operator.

Any value modulated (divided) by zero is assigned NoData on the output; therefore, any location on the second input that is zero or NoData will return NoData for that location on the output.

The modulo operator assumes both its inputs are integers. If any inputs are not integer, those inputs will be converted to integers through truncation. Output values are always integers.

Another way to perform the modulo operator is a %= b, which is an alternative way to write a = a % b.

If both inputs are single band rasters, or one of the inputs is a constant, the output will be a single band raster.

If both inputs are multiband rasters, or one of the inputs is a constant, the output will be a multiband raster. The number of bands in each multiband input must be the same.

The operator will perform the operation on each band from one input against the corresponding band from the other input. If one of the inputs is a multiband raster and the other input is a constant, the operator will perform the operation against the constant value for each band in the multiband input.

Syntax

in_raster_or_constant1 % in_raster_or_constant2
OperandExplanationData Type
in_raster_or_constant1

The numerator input.

If the first input is a raster and the second is a scalar, an output raster is created with the remainder being calculated for each input raster value after being divided by the scalar value.

Raster Layer | Constant
in_raster_or_constant2

The denominator input.

If the first input is a scalar and the second is a raster, an output raster is created with the remainder being calculated for each input raster value after being divided into the scalar value.

Raster Layer | Constant

Return Value

NameExplanationData Type
out_raster

The output raster object.

The cell values are the remainder of the division of the values in the first input by the second input.

Raster

Code sample

% (Modulo) example 1 (Python window)

This sample returns the value of the remainder (modulus) of dividing the cells in the first raster by the second.

import arcpy
from arcpy import env
from arcpy.sa import *
env.workspace = "C:/sapyexamples/data"
outMod = Raster("degs") % Raster("negs")
outMod.save("C:/sapyexamples/output/outmod.tif")
% (Modulo) example 2 (stand-alone script)

This sample returns the value of the remainder (modulus) of dividing the cells in the first raster by the second.

# Name: Op_Mod_Ex_02.py
# Description: Finds the remainder of the first raster when divided by
#              the second raster on a cell-by-cell basis
# Requirements: Spatial Analyst Extension

# Import system modules
import arcpy
from arcpy import env
from arcpy.sa import *

# Set environment settings
env.workspace = "C:/sapyexamples/data"

# Set local variables
inRaster1 = Raster("degs")
inRaster2 = Raster("negs")

# Execute Mod
outMod = inRaster1 % inRaster2

# Save the output 
outMod.save("C:/sapyexamples/output/outmod")

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