Euclidean

• Euclidean Division and Euclidean Modulo for Nim.

Use

import euclidean

echo euclideanDivision(-3, 5)  # -3 / 5
echo euclideanModulo(-3, 5)    # -3 mod 5

• You can use import euclideanDivision as eDiv or similar for short name, etc.
• You can use import euclideanModulo as eMod or similar for short name, etc.
• Remember results will be different than standard library system Divison and Modulo.
• Remember results will be different than standard library math Divison and Modulo.
• No dependencies. Uses limits.h.
• See http://wikipedia.org/wiki/Modulo_operation http://wikipedia.org/wiki/Euclidean_division

FAQ

• This already exists in the Standard Library on math.floorDiv, math.floorMod ?
• This already exists in the Standard Library on system./, system.mod ?

Nim

from math import floorDiv, floorMod

echo "system.`/` Versus euclidean.euclideanDivision:"
echo "\tEuclideans Division\t-3 / 5 =\t",     euclideanDivision(-3.cint, 5.cint)
echo "\tNim StdLib Division\t-3 / 5 = \t",    -3.cint / 5.cint, "\n"

echo "system.`mod` Versus euclidean.euclideanModulo:"
echo "\tEuclideans Modulo\t-3 mod 5 =\t",     euclideanModulo(-3.cint, 5.cint)
echo "\tNim StdLib Modulo\t-3 mod 5 =\t",     -3.cint mod 5.cint, "\n\n"

echo "math.floorDiv Versus euclidean.euclideanDivision:"
echo "\tEuclideans Division\t5 / -3 =\t",     euclideanDivision(5.cint, -3.cint)
echo "\tNim Floor  Division\t5 / -3 = \t",    floorDiv(5, -3), "\n"

echo "math.floorMod Versus euclidean.euclideanModulo:"
echo "\tEuclideans Modulo\t5 mod -3 =\t",     euclideanModulo(5.cint, -3.cint)
echo "\tNim Floor  Modulo\t5 mod -3 = \t",    floorMod(5, -3)

Results

system.`/` Versus euclidean.euclideanDivision:
        Euclideans Division     -3 / 5 =        -1
        Nim StdLib Division     -3 / 5 =        -0.6

system.`mod` Versus euclidean.euclideanModulo:
        Euclideans Modulo       -3 mod 5 =      2
        Nim StdLib Modulo       -3 mod 5 =      -3


math.floorDiv Versus euclidean.euclideanDivision:
        Euclideans Division     5 / -3 =        -1
        Nim Floor  Division     5 / -3 =        -2

math.floorMod Versus euclidean.euclideanModulo:
        Euclideans Modulo       5 mod -3 =      2
        Nim Floor  Modulo       5 mod -3 =      -1