8 //    all words in a string using the regular expression  | 
     8 //    all words in a string using the regular expression  | 
     9 //    \w+  and the library function   | 
     9 //    \w+  and the library function   | 
    10 //  | 
    10 //  | 
    11 //         some_regex.findAllIn(some_string)  | 
    11 //         some_regex.findAllIn(some_string)  | 
    12 //  | 
    12 //  | 
    13 //    The words should be Returned as a lsit of strings.  | 
    13 //    The words should be Returned as a list of strings.  | 
    14   | 
    14   | 
    15 def clean(s: String) : List[String] =   | 
    15 def clean(s: String) : List[String] =   | 
    16   ("""\w+""".r).findAllIn(s).toList | 
    16   ("""\w+""".r).findAllIn(s).toList | 
    17   | 
    17   | 
    18   | 
    18   | 
    19 //(2) The function occurences calculates the number of times    | 
    19 //(2) The function occurrences calculates the number of times    | 
    20 //    strings occur in a list of strings. These occurences should   | 
    20 //    strings occur in a list of strings. These occurrences should   | 
    21 //    be calculated as a Map from strings to integers.  | 
    21 //    be calculated as a Map from strings to integers.  | 
    22   | 
    22   | 
    23 def occurences(xs: List[String]): Map[String, Int] =  | 
    23 def occurrences(xs: List[String]): Map[String, Int] =  | 
    24   (for (x <- xs.distinct) yield (x, xs.count(_ == x))).toMap  | 
    24   (for (x <- xs.distinct) yield (x, xs.count(_ == x))).toMap  | 
    25   | 
    25   | 
    26 //(3) This functions calculates the dot-product of two documents  | 
    26 //(3) This functions calculates the dot-product of two documents  | 
    27 //    (list of strings). For this it calcualtes the occurence  | 
    27 //    (list of strings). For this it calculates the occurrence  | 
    28 //    maps from (2) and then multiplies the corresponding occurences.   | 
    28 //    maps from (2) and then multiplies the corresponding occurrences.   | 
    29 //    If a string does not occur in a document, the product is zero.  | 
    29 //    If a string does not occur in a document, the product is zero.  | 
    30 //    The function finally sums up all products.   | 
    30 //    The function finally sums up all products.   | 
    31   | 
    31   | 
    32 def prod(lst1: List[String], lst2: List[String]) : Int = { | 
    32 def prod(lst1: List[String], lst2: List[String]) : Int = { | 
    33     val words = (lst1 ::: lst2).distinct  | 
    33     val words = (lst1 ::: lst2).distinct  | 
    34     val occs1 = occurences(lst1)  | 
    34     val occs1 = occurrences(lst1)  | 
    35     val occs2 = occurences(lst2)  | 
    35     val occs2 = occurrences(lst2)  | 
    36     words.map{ w => occs1.getOrElse(w, 0) * occs2.getOrElse(w, 0) }.sum | 
    36     words.map{ w => occs1.getOrElse(w, 0) * occs2.getOrElse(w, 0) }.sum | 
    37 }  | 
    37 }  | 
    38   | 
    38   | 
    39 //(4) Complete the functions overlap and similarity. The overlap of  | 
    39 //(4) Complete the functions overlap and similarity. The overlap of  | 
    40 //    two documents is calculated by the formula given in the assignment  | 
    40 //    two documents is calculated by the formula given in the assignment  | 
    55   | 
    55   | 
    56   | 
    56   | 
    57 val list1 = List("a", "b", "b", "c", "d")  | 
    57 val list1 = List("a", "b", "b", "c", "d")  | 
    58 val list2 = List("d", "b", "d", "b", "d") | 
    58 val list2 = List("d", "b", "d", "b", "d") | 
    59   | 
    59   | 
    60 occurences(List("a", "b", "b", "c", "d"))   // Map(a -> 1, b -> 2, c -> 1, d -> 1) | 
    60 occurrences(List("a", "b", "b", "c", "d"))   // Map(a -> 1, b -> 2, c -> 1, d -> 1) | 
    61 occurences(List("d", "b", "d", "b", "d"))   // Map(d -> 3, b -> 2) | 
    61 occurrences(List("d", "b", "d", "b", "d"))   // Map(d -> 3, b -> 2) | 
    62   | 
    62   | 
    63 prod(list1,list2) // 7   | 
    63 prod(list1,list2) // 7   | 
    64   | 
    64   | 
    65 overlap(list1, list2)   // 0.5384615384615384  | 
    65 overlap(list1, list2)   // 0.5384615384615384  | 
    66 overlap(list2, list1)   // 0.5384615384615384  | 
    66 overlap(list2, list1)   // 0.5384615384615384  |