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Monoid implementation in Scala
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trait Monoid[A] { | |
def mempty: A | |
def mappend(x: A, y: A): A | |
def mconcat(xs: Seq[A]): A = xs.foldLeft(mempty)(mappend) | |
} | |
object MonoidTest { | |
def sum[A: Monoid](xs: A*): A = implicitly[Monoid[A]].mconcat(xs) | |
implicit def numericMonoid[A: Numeric] = new Monoid[A] { | |
val numericOp = implicitly[Numeric[A]] | |
def mempty: A = numericOp.zero | |
def mappend(x: A, y: A): A = numericOp.plus(x, y) | |
} | |
implicit def setMonoid[A] = new Monoid[Set[A]] { | |
def mempty: Set[A] = Set() | |
def mappend(x: Set[A], y: Set[A]): Set[A] = x ++ y | |
} | |
} | |
object Test { | |
def main(args: Array[String]): Unit = { | |
import Monoid._ | |
println(sum(0, 1, 1, 2, 3, 5)) | |
println(sum('a', 'b', 'b', 'c', 'd', 'f')) | |
println(sum(Set(0, 1), Set(1, 2), Set(3, 5))) | |
} | |
} |
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