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pp:scalalab2 [2022/05/15 23:55]
vbadoiu 		pp:scalalab2 [2022/05/19 00:16] (current)
mihai.calitescu resolved typos
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   * get familiar with **pattern matching** lists, as well as common list operations from Scala and how they work   * get familiar with **pattern matching** lists, as well as common list operations from Scala and how they work
   * get familiar with common **higher-order functions** over lists (partition, map, foldRight, foldLeft, filter)   * get familiar with common **higher-order functions** over lists (partition, map, foldRight, foldLeft, filter)
 +  * learn about data types in Scala
 +  * Use the knowledge in real world scenarios such as using sockets or iterating through the filesystem
  
 ==== I. Common list operations ==== ==== I. Common list operations ====
  
-**4.1.1.** Write a function which returns true if a list of integers has at least k elements. Use patterns.+**1.1.1.** Write a function which returns true if a list of integers has at least k elements. Use patterns.
 <code scala> <code scala>
-def atLeastk(k: Int, l: List[Int]): Boolean =+def atLeastk(k: Int, l: List[Int]): Boolean = {
   if (k == 0) ???   if (k == 0) ???
   else ???   else ???
-  ​}+}
 </​code>​ </​code>​
  
-**4.1.2.** Write a function which returns the first ''​n''​ elements from a given list. The function should not be implemented as tail-recursive.+**1.1.2.** Write a function which returns the first ''​n''​ elements from a given list. The function should not be implemented as tail-recursive.
 <code scala> <code scala>
 def take(n: Int, l: List[Int]): List[Int] = ??? def take(n: Int, l: List[Int]): List[Int] = ???
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 </​code>​ </​code>​
  
-**4.1.3.** Write a function which //drops// the first ''​n''​ elements from a given list. The function should not be implemented as tail-recursive. 
-<code scala> 
-def drop(n: Int, l: List[Int]): List[Int] = ??? 
-//​drop(3,​List(1,​2,​3,​4,​5)) = List(4,5) 
-</​code>​ 
  
-**4.1.4.** Write a function which takes a predicate ''​p:​ Int => Boolean'',​ a list ''​l''​ and returns a sublist of ''​l''​ containing those elements for which ''​p''​ is true. The function should be **curried**.+**1.1.3.** Write a function which takes a predicate ''​p:​ Int => Boolean'',​ a list ''​l''​ and returns a sublist of ''​l''​ containing those elements for which ''​p''​ is true. The function should be **curried**.
 <code scala> <code scala>
 def takeP(p: Int => Boolean)(l: List[Int]): List[Int] = ??? def takeP(p: Int => Boolean)(l: List[Int]): List[Int] = ???
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 </​code>​ </​code>​
  
-**4.1.5.** Write a function which uses a predicate to partition (split) a list.+**1.1.4.** Write a function which uses a predicate to partition (split) a list.
 <code scala> <code scala>
 def part(p: Int => Boolean)(l: List[Int]): (List[Int], List[Int]) = ??? def part(p: Int => Boolean)(l: List[Int]): (List[Int], List[Int]) = ???
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 </​code>​ </​code>​
  
-==== 4.2. Gradebooks ====+==== 1.2. Gradebooks ====
 More general implementation of ''​taken'',​ ''​dropn''​ and ''​part''​ are already implemented in Scala and can be used as member functions of lists. Examples are shown below: More general implementation of ''​taken'',​ ''​dropn''​ and ''​part''​ are already implemented in Scala and can be used as member functions of lists. Examples are shown below:
 <code scala> <code scala>
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 Add this type alias to your code before solving the following exercises. Add this type alias to your code before solving the following exercises.
  
-**4.2.1.** Write a function which adds one point  to all students which have a passing grade (>= 5), and leaves all other grades unchanged. +**1.2.1.** Find the average grade from a gradebook. You must use ''​foldRight''​.
-<code scala> +
-def increment(g:​ Gradebook): Gradebook = +
-  g.map(???)  +
-</​code>​ +
- +
-**4.2.2.** Find the average grade from a gradebook. You must use ''​foldRight''​.+
 <code scala> <code scala>
 def average(g: Gradebook): Double = ??? def average(g: Gradebook): Double = ???
 </​code>​ </​code>​
  
-**4.2.3.** Write a function which takes a gradebook and returns the percentage of failed vs. passed students, as a pair (x,y).+**1.2.2.** Write a function which takes a gradebook and returns the percentage of failed vs. passed students, as a pair (x,y).
 <code scala> <code scala>
 def percentage(g:​ Gradebook): (Double,​Double) = ??? def percentage(g:​ Gradebook): (Double,​Double) = ???
 </​code>​ </​code>​
  
-**4.2.4.** Write a function which takes a gradebook and returns the list of names which have passed. Use filter and map from Scala.+**1.2.3.** Write a function which takes a gradebook and returns the list of names which have passed. Use filter and map from Scala.
 <code scala> <code scala>
 def pass(g: Gradebook): List[String] = ??? def pass(g: Gradebook): List[String] = ???
 </​code>​ </​code>​
  
-**4.2.5.** Implement merge-sort (in ascending order) over gradebooks:+**1.2.4.** Implement ​a sorting algorithm such as merge sort (in ascending order) over gradebooks:
 <code scala> <code scala>
 def mergeSort(l:​ Gradebook): Gradebook = { def mergeSort(l:​ Gradebook): Gradebook = {
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 </​code>​ </​code>​
  
-**4.2.6** Write a function which takes a gradebook and reports all passing students in **descending** order of their grade. +**1.2.5** Using [[https://​www.scalatest.org/​user_guide/​using_assertions|assertions]] check that our merge sort implementation returns the same lists as the [[https://​blog.knoldus.com/​sorting-in-scala-using-sortedsortby-and-sortwith-function/​|stor]] from Scala.
-<code scala> +
-def honorsList(g:​ Gradebook): List[String] = ??? +
-</code> +
  
 ===== II. Functional data representation ===== ===== II. Functional data representation =====
  
-==== 5.1. Nats ===+==== 2.1. Nats ===
  
 Consider the following toy implementation of the type ''​Nat''​ which encodes natural numbers. Consider the following toy implementation of the type ''​Nat''​ which encodes natural numbers.
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 For instance, ''​3''​ will be encoded as the value: ''​Succ(Succ(Succ(Zero)))''​. For instance, ''​3''​ will be encoded as the value: ''​Succ(Succ(Succ(Zero)))''​.
  
-**5.1.1.** Write a function which implements addition over Nats:+**2.1.1.** Write a function which implements addition over Nats:
 <code scala> <code scala>
 def add(n: Nat, m: Nat): Nat = ??? def add(n: Nat, m: Nat): Nat = ???
 </​code>​ </​code>​
  
-**5.1.2.** Write a function which converts a ''​Nat''​ to an ''​Int'':​+**2.1.2.** Write a function which converts a ''​Nat''​ to an ''​Int'':​
 <code scala> <code scala>
 def toInt(n: Nat): Int = ??? def toInt(n: Nat): Int = ???
 </​code>​ </​code>​
  
-**5.1.3.** Write a function which converts an ''​Int''​ to a ''​Nat''​. ​+**2.1.3.** Write a function which converts an ''​Int''​ to a ''​Nat''​. ​
 <code scala> <code scala>
 def fromInt(i: Int): Nat def fromInt(i: Int): Nat
 </​code>​ </​code>​
  
-==== 5.2. Binary Search Trees ===+==== 2.2. Binary Search Trees ===
  
 In a [[https://​en.wikipedia.org/​wiki/​Binary_search_tree| binary search tree (BST)]], the key of the current node, is always: In a [[https://​en.wikipedia.org/​wiki/​Binary_search_tree| binary search tree (BST)]], the key of the current node, is always:
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 </​code>​ </​code>​
  
-**5.2.1.** Create the tree shown below:+**2.2.1.** Create the tree shown below:
 <code scala> <code scala>
 val tree = ??? val tree = ???
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 </​code>​ </​code>​
  
-**5.2.2.** Implement the method ''​size''​ which determines the number of non-empty nodes from the BST.+**2.2.2.** Implement the method ''​size''​ which determines the number of non-empty nodes from the BST.
  
-**5.2.3.** Define the method ''​contains'',​ which checks if a given integer is a member of the BST.+**2.2.3.** Define the method ''​contains'',​ which checks if a given integer is a member of the BST.
  
-**5.2.4.** Implement the method ''​ins''​ which inserts a new integer in the BST. **Note:** the insertion must return a new BST (the //binary search tree// property mentioned above must hold after insertion).+**2.2.4.** Implement the method ''​ins''​ which inserts a new integer in the BST. **Note:** the insertion must return a new BST (the //binary search tree// property mentioned above must hold after insertion).
  
-**5.2.5.** Implement a method ''​flatten''​ which converts a BST into a list of integers. You must carefully choose the flattening method in such a way as to obtain **a sorted list** from the BST. Hint: you may use the list concatenation operator ''::​:''​ (triple colons; example usage: ''​List(1,​2,​3):::​List(4,​5)''​.+**2.2.5.** Implement a method ''​depth''​ which returns the maximal depth of a BST. Hint: use the method: ''​_.max(_)''​.
  
-**5.2.6.** Implement a method ''​depth''​ which returns the maximal depth of a BST. Hint: use the method: ''​_.max(_)''​.+**(!) 2.2.6.** Implement a method ''​minimum''​ which returns the smallest integer from a BST. (If the tree is empty, we return -1). Hint: use the example above, to guide your implementation.
  
-**(!) 5.2.8.** Implement a method ''​minimum''​ which returns the smallest integer from a BST. (If the tree is empty, we return -1). Hint: use the example above, to guide your implementation. +**(!) 5.2.7.** Implement a method ''​successor(k)''​ which returns **the smallest** integer from the BST, which is **larger** than ''​k''​. Use the following examples for your implementation:​
- +
-**5.2.9.** Implement a similar method ''​maximum''​.  +
- +
-**(!) 5.2.10.** Implement a method ''​successor(k)''​ which returns **the smallest** integer from the BST, which is **larger** than ''​k''​. Use the following examples for your implementation:​+
 <​code>​ <​code>​
     5             ​t.successor(2) = 5                      ​     5             ​t.successor(2) = 5                      ​
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 </​code>​ </​code>​
  
-** (!!) 5.2.11.** Implement ​a method ''​remove(k)''​ which removes element ''​k''​ from the BST.+ 
 +==== III. Scala in practice ==== 
 + 
 +**3.1** Write a function reads the contents of a directory and returns True if a given file is in the folder. 
 + 
 +**3.2** Look into [[http://​jsuereth.com/​scala-arm/​sockets.html|this example]] and implement ​a client and echo server using sockets ​(we are using the Java classes).  
 + 
 +**3.3** In the client, send a list to the server. The server will return the maximum number from that list.