// Scala Lecture 2

//=================

// For-Comprehensions Again

//==========================

// the first produces a result, while the second does not

for (n <- List(1, 2, 3, 4, 5)) yield n * n

for (n <- List(1, 2, 3, 4, 5)) println(n)

// String Interpolations

//=======================

def cube(n: Int) : Int = n * n * n

val n = 3

println("The cube of " + n + " is " + cube(n) + ".")

println(s"The cube of ${n} is ${cube(n)}.")

// or even

println(s"The cube of ${n} is ${n * n * n}.")

// helpful for debugging purposes

//

//         "The most effective debugging tool is still careful thought, 

//          coupled with judiciously placed print statements."

//                   — Brian W. Kernighan, in Unix for Beginners (1979)

def gcd_db(a: Int, b: Int) : Int = {

  println(s"Function called with ${a} and ${b}.")

  if (b == 0) a else gcd_db(b, a % b)

}

gcd_db(48, 18)

// The Option Type

//=================

// in Java, if something unusually happens, you return null or 

// raise an exception

//

//in Scala you use Options instead

//   - if the value is present, you use Some(value)

//   - if no value is present, you use None

List(7,2,3,4,5,6).find(_ < 4)

List(5,6,7,8,9).find(_ < 4)

// better error handling with Options (no exceptions)

//

//  Try(something).getOrElse(what_to_do_in_case_of_an_exception)

//

import scala.util._

import io.Source

val my_url = "https://nms.kcl.ac.uk/christian.urban/"

Source.fromURL(my_url).mkString

Try(Source.fromURL(my_url).mkString).getOrElse("")

Try(Some(Source.fromURL(my_url).mkString)).getOrElse(None)

// the same for files

Try(Some(Source.fromFile("text.txt").mkString)).getOrElse(None)

// how to implement a function for reading 

// (lines) something from files...

//

def get_contents(name: String) : List[String] = 

  Source.fromFile(name).getLines.toList

get_contents("text.txt")

get_contents("test.txt")

// slightly better - return Nil

def get_contents(name: String) : List[String] = 

  Try(Source.fromFile(name).getLines.toList).getOrElse(List())

get_contents("text.txt")

// much better - you record in the type that things can go wrong 

def get_contents(name: String) : Option[List[String]] = 

  Try(Some(Source.fromFile(name).getLines.toList)).getOrElse(None)

get_contents("text.txt")

get_contents("test.txt")

// operations on options

val lst = List(None, Some(1), Some(2), None, Some(3))

lst.flatten

Some(1).get

None.get

Some(1).isDefined

None.isDefined

val ps = List((3, 0), (4, 2), (6, 2), (2, 0), (1, 0), (1, 1))

// division where possible

for ((x, y) <- ps) yield {

  if (y == 0) None else Some(x / y)

}

// getOrElse is for setting a default value

val lst = List(None, Some(1), Some(2), None, Some(3))

for (x <- lst) yield x.getOrElse(0)

// a function that turns strings into numbers (similar to .toInt)

Integer.parseInt("12u34")

def get_me_an_int(s: String) : Option[Int] = 

 Try(Some(Integer.parseInt(s))).getOrElse(None)

// This may not look any better than working with null in Java, but to

// see the value, you have to put yourself in the shoes of the

// consumer of the get_me_an_int function, and imagine you didn't

// write that function.

//

// In Java, if you didn't write this function, you'd have to depend on

// the Javadoc of the get_me_an_int. If you didn't look at the Javadoc, 

// you might not know that get_me_an_int could return null, and your 

// code could potentially throw a NullPointerException.

// even Scala is not immune to problems like this:

List(5,6,7,8,9).indexOf(7)

List(5,6,7,8,9).indexOf(10)

List(5,6,7,8,9)(-1)

Try({

  val x = 3

  val y = 0

  Some(x / y)

}).getOrElse(None)

// Higher-Order Functions

//========================

// functions can take functions as arguments

// and produce functions as result

def even(x: Int) : Boolean = x % 2 == 0

def odd(x: Int) : Boolean = x % 2 == 1

val lst = (1 to 10).toList

lst.reverse.sorted

lst.filter(even)

lst.count(odd)

lst.find(even)

lst.exists(even)

lst.filter(_ < 4) 

lst.filter(x => x % 2 == 1)

lst.filter(_ % 2 == 0)

lst.sortWith((x, y) => x > y)

lst.sortWith(_ < _)

// but this only works when the arguments are clear, but 

// not with multiple occurences

lst.find(n => odd(n) && n > 2)

val ps = List((3, 0), (3, 2), (4, 2), (2, 2), (2, 0), (1, 1), (1, 0))

def lex(x: (Int, Int), y: (Int, Int)) : Boolean = 

  if (x._1 == y._1) x._2 < y._2 else x._1 < y._1

ps.sortWith(lex)

ps.sortBy(x => x._1)

ps.sortBy(_._2)

ps.maxBy(_._1)

ps.maxBy(_._2)

// maps (lower-case)

//===================

def double(x: Int): Int = x + x

def square(x: Int): Int = x * x

val lst = (1 to 10).toList

lst.map(x => (double(x), square(x)))

lst.map(square)

// this is actually how for-comprehensions are

// defined in Scala

lst.map(n => square(n))

for (n <- lst) yield square(n)

// this can be iterated

lst.map(square).filter(_ > 4)

(lst.map(square)

   .filter(_ > 4)

   .map(square))

// lets define our own higher-order functions

// type of functions is for example Int => Int

0 :: List(3,4,5,6)

def my_map_int(lst: List[Int], f: Int => Int) : List[Int] = {

  if (lst == Nil) Nil

  else f(lst.head) :: my_map_int(lst.tail, f)

}

my_map_int(lst, square)

// same function using pattern matching: a kind

// of switch statement on steroids (see more later on)

def my_map_int(lst: List[Int], f: Int => Int) : List[Int] = 

lst match {

  case Nil => Nil

  case x::xs => f(x)::my_map_int(xs, f)

}

// other function types

//

// f1: (Int, Int) => Int

// f2: List[String] => Option[Int]

// ... 

val lst = (1 to 10).toList

lst.sum

val lst = List(1,2,3,4)

lst.head

lst.tail

def sumOf(f: Int => Int, lst: List[Int]): Int = 

lst match {

  case Nil => 0

  case x::foo => f(x) + sumOf(f, foo)

}

def sum_squares(lst: List[Int]) = sumOf(square, lst)

def sum_cubes(lst: List[Int])   = sumOf(x => x * x * x, lst)

sum_squares(lst)

sum_cubes(lst)

// lets try a factorial

def fact(n: Int) : Int = 

  if (n == 0) 1 else n * fact(n - 1)

def sum_fact(lst: List[Int]) = sumOf(fact, lst)

sum_fact(lst)

// sometimes it is needed that you specify the type. 

(1 to 100).filter((x: Int) => x % 2 == 0).sum 

// in this case it is clear that x must be an Int

(1 to 100).filter(x => x % 2 == 0).sum

// When each parameter (only x in this case) is used only once

// you can use the wizardy placeholder syntax

(1 to 100).filter(_ % 2 == 0).sum

// Option Type and maps

//======================

// a function that turns strings into numbers (similar to .toInt)

Integer.parseInt("12u34")

import scala.util._

def get_me_an_int(s: String) : Option[Int] = 

 Try(Some(Integer.parseInt(s))).getOrElse(None)

val lst = List("12345", "foo", "5432", "bar", "x21", "456")

for (x <- lst) yield get_me_an_int(x)

// summing up all the numbers

lst.map(get_me_an_int).flatten.sum

lst.map(get_me_an_int).flatten.sum

lst.flatMap(get_me_an_int).sum

// maps on Options

get_me_an_int("12345").map(even)

get_me_an_int("12u34").map(even)

def my_map_option(o: Option[Int], f : Int => Int) : Option[Int] = {

o match {

   case None => None

   case Some(foo) => Some(f(foo))

}}

my_map_option(Some(4), square)

my_map_option(None, square)

// Map type (upper-case)

//=======================

// Note the difference between map and Map

val ascii = ('a' to 'z').map(c => (c, c.toInt)).toList

val ascii_Map = ascii.toMap

def factors(n: Int) : List[Int] =

  (2 until n).toList.filter(n % _ == 0)

var ls = (1 to 10).toList

val facs = ls.map(n => (n, factors(n)))

facs.find(_._1 == 4)

// works for lists of pairs

facs.toMap

facs.toMap.get(40)

facs.toMap.getOrElse(42, Nil)

val facsMap = facs.toMap

val facsMap0 = facsMap + (0 -> List(1,2,3,4,5))

facsMap0.get(0)

val facsMap2 = facsMap + (1 -> List(1,2,3,4,5))

facsMap.get(1)

facsMap2.get(1)

// groupBy function on Maps

val ls = List("one", "two", "three", "four", "five")

ls.groupBy(_.length)

ls.groupBy(_.length).get(5)

// Pattern Matching

//==================

// A powerful tool which is supposed to come to Java in a few years

// time (https://www.youtube.com/watch?v=oGll155-vuQ)...Scala already

// has it for many years ;o)

// The general schema:

//

//    expression match {

//       case pattern1 => expression1

//       case pattern2 => expression2

//       ...

//       case patternN => expressionN

//    }

// recall

val lst = List(None, Some(1), Some(2), None, Some(3)).flatten

def my_flatten(xs: List[Option[Int]]): List[Int] = 

xs match {

  case Nil => Nil 

  case None::rest => my_flatten(rest)

  case Some(v)::rest => v :: my_flatten(rest)

}

my_flatten(List(None, Some(1), Some(2), None, Some(3)))

// another example with a default case

def get_me_a_string(n: Int): String = n match {

  case 0 | 1 | 2 => "small"

}

get_me_a_string(3)

// you can also have cases combined

def season(month: String) : String = month match {

  case "March" | "April" | "May" => "It's spring"

  case "June" | "July" | "August" => "It's summer"

  case "September" | "October" | "November" => "It's autumn"

  case "December" => "It's winter"

  case "January" | "February" => "It's unfortunately winter"

}

println(season("November"))

// What happens if no case matches?

println(season("foobar"))

// days of some months

def days(month: String) : Int = month match {

  case "March" | "April" | "May" => 31

  case "June" | "July" | "August" => 30

}

// Silly: fizz buzz

def fizz_buzz(n: Int) : String = (n % 3, n % 5) match {

  case (0, 0) => "fizz buzz"

  case (0, _) => "fizz"

  case (_, 0) => "buzz"

  case _ => n.toString  

}

for (n <- 0 to 20) 

 println(fizz_buzz(n))

// Recursion

//===========

// well-known example

def fib(n: Int) : Int = { 

  if (n == 0 || n == 1) 1

   else fib(n - 1) + fib(n - 2)

}

/* Say you have characters a, b, c.

   What are all the combinations of a certain length?

   All combinations of length 2:

     aa, ab, ac, ba, bb, bc, ca, cb, cc