# HG changeset patch
# User fahadausaf <fahad.ausaf@icloud.com>
# Date 1414341748 0
# Node ID fa92e8f089a2d25ab65dea854228b26358fea5b9
# Parent  238c98db60579d7f2af867026c050c9de11652f8
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diff -r 238c98db6057 -r fa92e8f089a2 Fahad/Scala/Chapter5.sc
--- a/Fahad/Scala/Chapter5.sc	Sun Oct 26 11:17:40 2014 +0000
+++ b/Fahad/Scala/Chapter5.sc	Sun Oct 26 16:42:28 2014 +0000
@@ -28,28 +28,79 @@
   sumPowersOfTwo(2, 4)
   */
 
+  /*
   def sum(f: Int => Int, a: Int, b: Int): Int =
-    if (a > b) 0 else f(a) + sum(f, a + 1, b)     //> sum: (f: Int => Int, a: Int, b: Int)Int
+    if (a > b) 0 else f(a) + sum(f, a + 1, b)
 
   //def sumInts(a: Int, b: Int): Int = sum(id, a, b)
   //def sumInts(a: Int, b: Int): Int = sum((x: Int) => x, a, b)
   def sumInts(a: Int, b: Int): Int = sum(x => x, a, b)
-                                                  //> sumInts: (a: Int, b: Int)Int
   //def sumSquares(a: Int, b: Int): Int = sum(square, a, b)
   //def sumSquares(a: Int, b: Int): Int = sum((x: Int) => x * x, a, b)
   def sumSquares(a: Int, b: Int): Int = sum(x => x * x, a, b)
-                                                  //> sumSquares: (a: Int, b: Int)Int
   def sumPowersOfTwo(a: Int, b: Int): Int = sum(powerOfTwo, a, b)
-                                                  //> sumPowersOfTwo: (a: Int, b: Int)Int
   
-  def id(x: Int): Int = x                         //> id: (x: Int)Int
-	def square(x: Int): Int = x * x           //> square: (x: Int)Int
+  def id(x: Int): Int = x
+	def square(x: Int): Int = x * x
+	*/
 	def powerOfTwo(x: Int): Int = if (x == 0) 1 else 2 * powerOfTwo(x - 1)
                                                   //> powerOfTwo: (x: Int)Int
-                                                  
+  
+
   // 5.2: Currying
-  
-  
-  
+
+  def sum(f: Int => Int): (Int, Int) => Int = {
+    def sumF(a: Int, b: Int): Int =
+      if (a > b) 0 else f(a) + sumF(a + 1, b)
+    sumF
+  }                                               //> sum: (f: Int => Int)(Int, Int) => Int
+
+  def sumInts = sum(x => x)                       //> sumInts: => (Int, Int) => Int
+  def sumSquares = sum(x => x * x)                //> sumSquares: => (Int, Int) => Int
+  def sumPowersOfTwo = sum(powerOfTwo)            //> sumPowersOfTwo: => (Int, Int) => Int
   
+  sumSquares(1,10) + sumPowersOfTwo(10,20)        //> res0: Int = 2096513
+  sum(x => x * x)(2,4)                            //> res1: Int = 29
+
+	// 5.3: Finding Fixed Points of Functions
+	
+	val tolerance = 0.001                     //> tolerance  : Double = 0.001
+	def isCloseEnough(x: Double, y: Double) = Math.abs((x-y) / x) < tolerance
+                                                  //> isCloseEnough: (x: Double, y: Double)Boolean
+	def fixedPoint(f: Double => Double)(firstGuess: Double) = {
+		def iterate(guess: Double): Double = {
+			val next = f(guess)
+			if (isCloseEnough(guess, next)) next
+			else iterate(next)
+		}
+		iterate(firstGuess)
+	}                                         //> fixedPoint: (f: Double => Double)(firstGuess: Double)Double
+	
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 }
\ No newline at end of file
diff -r 238c98db6057 -r fa92e8f089a2 Fahad/Scala/Chapter6.sc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/Fahad/Scala/Chapter6.sc	Sun Oct 26 16:42:28 2014 +0000
@@ -0,0 +1,68 @@
+package greeter
+
+object Chapter6 {
+  println("Classes and Objects")                  //> Classes and Objects
+
+  class Rational(n: Int, d: Int) {
+    private def gcd(x: Int, y: Int): Int = {
+      if (x == 0) y
+      else if (x < 0) gcd(-x, y)
+      else if (y < 0) -gcd(x, -y)
+      else gcd(y % x, x)
+    }
+    private val g = gcd(n, d)
+
+    val numer: Int = n / g
+    val denom: Int = d / g
+    def +(that: Rational) = new Rational(numer * that.denom + that.numer * denom, denom * that.denom)
+    def -(that: Rational) = new Rational(numer * that.denom - that.numer * denom, denom * that.denom)
+    def *(that: Rational) = new Rational(numer * that.numer, denom * that.denom)
+    def /(that: Rational) = new Rational(numer * that.denom, denom * that.numer)
+
+    //Inheritance and Overriding
+    override def toString = "" + numer + "/" + denom
+    //Parameterless Methods
+    def square = new Rational(numer * numer, denom * denom)
+  }
+  //Inheritance and Overriding
+  var i = 1                                       //> i  : Int = 1
+  var x = new Rational(0, 1)                      //> x  : greeter.Chapter6.Rational = 0/1
+  while (i <= 10) {
+    x += new Rational(1, i)
+    i += 1
+  }
+  println("" + x.numer + "/" + x.denom)           //> 7381/2520
+  //Parameterless Methods
+  val r = new Rational(3, 4)                      //> r  : greeter.Chapter6.Rational = 3/4
+  println(r.square)                               //> 9/16
+
+  //Abstract Classes
+  abstract class IntSet {
+    def incl(x: Int): IntSet
+    def contains(x: Int): Boolean
+  }
+
+  //Triats
+  trait IntSett {
+    def incl(x: Int): IntSet
+    def contains(x: Int): Boolean
+  }
+
+  //Implementing abstract class
+  class EmptySet extends IntSet {
+    def contains(x: Int): Boolean = false
+    def incl(x: Int): IntSet = new NonEmptySet(x, new EmptySet, new EmptySet)
+  }
+
+  class NonEmptySet(elem: Int, left: IntSet, right: IntSet) extends IntSet {
+    def contains(x: Int): Boolean =
+      if (x < elem) left contains x
+      else if (x > elem) right contains x
+      else true
+    def incl(x: Int): IntSet =
+      if (x < elem) new NonEmptySet(elem, left incl x, right)
+      else if (x > elem) new NonEmptySet(elem, left, right incl x)
+      else this
+  }
+
+}
\ No newline at end of file