langs/Scala/rdm.scala

88 lines
2.1 KiB
Scala

package ca.rekahsoft.rdm
/**
* (C) Copyright Collin Doering @!@YEAR@!@
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
/**
* File: rdm.scala
* Author: Collin J. Doering
* Date: Jun 20, 2013
*/
def and(x: Boolean, y: => Boolean): Boolean = if (x) y else false
def or(x: Boolean, y: => Boolean): Boolean = if (x) true else y
def factorial(n: Int): Int = {
def fact(x: Int, acc: Int): Int = if (x <= 1) acc else fact(x - 1, x * acc)
fact(n,1)
}
// An implementation of a list (covariant)
trait List[+T] {
def isEmpty: Boolean
def head: T
def tail: List[T]
}
class Cons[T](val head: T, var tail: List[T]) extends List[T]{
def isEmpty = false
}
object Nil extends List[Nothing] {
def isEmpty: Boolean = true
def head: Nothing = throw new Error("Nil.head")
def tail: Nothing = throw new Error("Nil.head")
}
// An implementation of Natural numbers
abstract class Nat {
def isZero: Boolean
def pred: Nat
def + (x: Nat): Nat
def - (x: Nat): Nat
}
class Succ(n: Nat) extends Nat {
def isZero = false
def pred = n
def succ: Nat = new Succ(this)
def + (x: Nat) = new Succ(n + x)
def - (x: Nat) = if (x.isZero) this else n - x.pred
}
object Zero extends Nat {
def isZero = true
def pred = throw new Error("Zero.pred")
def succ: Nat = new Succ(this)
def + (x: Nat) = x
def - (x: Nat) = if (x.isZero) this else throw new Error("negative number")
}
/* Note: the above use of var is shortform:
* class Test[T](var x: T)
* is transformed to:
* class Test[T](x: T) {
* var x = x
* }
*/
// Implement a BST
trait BTree[T] {
}