diff -r c616ec6b1e3c -r c603b27083f3 Fahad/Scala/Chapter5.sc --- a/Fahad/Scala/Chapter5.sc Wed Jan 21 12:32:17 2015 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,107 +0,0 @@ - -package greeter - -object Chapter5 { - println("Welcome to the Scala worksheet") //> Welcome to the Scala worksheet - - ///////////////////////////////////////////////////////////////////////////// - // CHAPTER 5: FIRST-CLASS FUNCTIONS - - /* - // Write a function to sumall integers between two given numbers a and b - def sumInts(a: Int, b: Int): Int = - if (a > b) 0 else a + sumInts(a + 1, b) - - sumInts(1, 5) - - //Write a function to sum the squares of all integers between two given numbers a and b - def square(x: Int): Int = x * x - def sumSquares(a: Int, b: Int): Int = - if (a > b) 0 else square(a) + sumSquares(a + 1, b) - - square(5) - - //Write a function to sum the powers 2n of all integers n between two given numbers a and b: - def powerOfTwo(x: Int): Int = if (x == 0) 1 else 2 * powerOfTwo(x - 1) - def sumPowersOfTwo(a: Int, b: Int): Int = - if (a > b) 0 else powerOfTwo(a) + sumPowersOfTwo(a + 1, b) - - 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) - - //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) - //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) - def sumPowersOfTwo(a: Int, b: Int): Int = sum(powerOfTwo, a, b) - - 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 - - - - - - - - - - - - - - - - - - - - - - - - - - - - -}