From 6e317166942df78d54d79734fee0ea8d1c9c9e9f Mon Sep 17 00:00:00 2001 From: Matijn Woudt Date: Thu, 30 Sep 2010 12:03:10 +0200 Subject: [PATCH] Haskell in eigen map --- fp/1/opdr.hs | 7 + fp/1/opdr1.txt | 253 ++++++++++++++++++++++++++++++ fp/1/pr1.diff | 174 +++++++++++++++++++++ fp/1/pr1.hs | 104 +++++++++++++ fp/1/pr1_def.hs | 279 ++++++++++++++++++++++++++++++++++ fp/1/practicum1.hs | 50 ++++++ fp/1/test.hs | 4 + fp/Haskell_The_Craft_Of_Functiona.pdf | Bin 0 -> 23276894 bytes 8 files changed, 871 insertions(+) create mode 100644 fp/1/opdr.hs create mode 100644 fp/1/opdr1.txt create mode 100644 fp/1/pr1.diff create mode 100644 fp/1/pr1.hs create mode 100644 fp/1/pr1_def.hs create mode 100644 fp/1/practicum1.hs create mode 100644 fp/1/test.hs create mode 100755 fp/Haskell_The_Craft_Of_Functiona.pdf diff --git a/fp/1/opdr.hs b/fp/1/opdr.hs new file mode 100644 index 0000000..63fc1eb --- /dev/null +++ b/fp/1/opdr.hs @@ -0,0 +1,7 @@ +import Char + +rangeProduct :: Int -> Int -> Int +rangeProduct m n + | n > m = m * rangeProduct(m+1)(n) + | n == m = n + | otherwise = 0 \ No newline at end of file diff --git a/fp/1/opdr1.txt b/fp/1/opdr1.txt new file mode 100644 index 0000000..a3739a9 --- /dev/null +++ b/fp/1/opdr1.txt @@ -0,0 +1,253 @@ + Functional Query Language (FQL) + +In dit practicum gaan jullie een aantal operaties op tabellen implementeren. +Met deze operaties kun je vragen (queries) opschrijven zoals dat ook kan met SQL. +Het gaat in dit practicum voornamelijk om het manipuleren van lijsten. + +Algemene hints + + * Lijstcomprehensies komen goed van pas bij het schrijven van de functies. + * Test na iedere functie. Pas functies die je net geschreven hebt toe op + geschikte waarden om te controleren of ze doen wat je verwacht. + * Schrijf veel kleine functies. Het werk van de functies is goed op te + splitsen in subfuncties. Soms kan je zo'n subfunctie dan ook weer gebruiken + op een andere plek. + * Gebruik standaardfuncties. Zie de Haskell prelude.hs. Standaardfuncties + kunnen veel werk uit handen nemen en voor veel taken zijn functies beschikbaar. + Kijk ook eens in de module List (/usr/lib/hugs/libraries/List.hs). + * Ga uit van correcte invoer. Je mag er vanuit gaan dat de parameters aan + de functies correct zijn. Bijvoorbeeld bij join (zie verderop) mag je + aannemen dat de tabellen precies één veld gemeenschappelijk hebben. + * Kijk eens wat transpose doet met een lijst van lijsten. Om transpose + te kunnen gebruiken moet je de volgende regels bovenaan (!) je programma + opnemen. Vervang hierin FQL door de naam van je bestand (zonder .hs natuurlijk): + + module FQL where + + import List + + ... + +Het type van een tabel + +Een database-tabel wordt gerepresenteerd door een lijst van lijsten van strings. +Het eerste element is de lijst met veldnamen van de kolommen. De rest van de +lijst bevat alle records van de tabel in een lijst. Ieder element van de lijst +stelt een record voor en is op zijn beurt weer een lijst met waarden voor iedere +kolom. Voor het gemak worden alle gegevens voorgesteld door strings. + +type Table = [[String]] + +Voorbeelden van tabellen +Twee voorbeeldtabellen laten zien hoe waarden van het type Table er uitzien. De +eerste tabel bevat verschillende Haskell compilers en voor ieder de naam van de +universiteit of het bedrijf waar de compiler ontwikkeld wordt. De tweede tabel +relateert de universiteiten en bedrijven met landen en steden. + +compilers :: Table +compilers = + [ ["Compiler", "Universiteit/bedrijf"] + , ["Helium", "Universiteit Utrecht"] + , ["NHC", "University of York"] + , ["GHC", "Microsoft Research"] + , ["Hugs", "Galois Connections"] + , ["Hugs.NET", "Galois Connections"] + , ["O'Haskell", "Oregon Graduate Institute"] + , ["O'Haskell", "Chalmers University of Technology"] + , ["HBC", "Chalmers University of Technology"] + ] + +locaties :: Table +locaties = + [ ["Universiteit/bedrijf", "Land", "Stad"] + , ["Universiteit Utrecht", "Nederland", "Utrecht"] + , ["University of York", "Engeland", "York"] + , ["Microsoft Research", "Engeland", "Cambridge"] + , ["Galois Connections", "Verenigde Staten", "Beaverton"] + , ["Oregon Graduate Institute", "Verenigde Staten", "Beaverton"] + , ["Chalmers University of Technology", "Zweden", "Goteborg"] + ] + +Het tonen van een tabel + +Standaard kijkt Hugs niet naar newlines in een string. Om dat voor elkaar te +krijgen moet je de functie putStr er op toepassen: + +Prelude> "regel 1\nregel 2" +"regel 1\nregel 2" +Prelude> putStr "regel 1\nregel 2" +regel 1 +regel 2 + +Als we in Hugs de tabel tonen dan krijgen we: + +Database> putStr ( show compilers ) +[["Compiler","Universiteit/bedrijf"],["Helium","Universiteit Utrecht"], +["NHC","University of York"],["GHC","Microsoft Research"],["Hugs","Galois C +onnections"],["Hugs.NET","Galois Connections"],["O\'Haskell","Oregon Gradua +te Institute"],["O\'Haskell","Chalmers University of Technology"],["HBC","C +halmers University of Technology"]] + +Dat ziet er niet overzichtelijk uit. De eerste functie die jullie schrijven +laat de tabel mooier zien. Daarbij zijn de veldnamen visueel gescheiden van +de records en zijn de kolommen uitgelijnd. Dit is het type van de te schrijven +functie: + +writeTable :: Table -> String + +En dit is een voorbeeld van het gebruik: + +Database> putStr (writeTable compilers) ++---------+---------------------------------+ +|Compiler |Universiteit/bedrijf | ++---------+---------------------------------+ +|Helium |Universiteit Utrecht | +|NHC |University of York | +|GHC |Microsoft Research | +|Hugs |Galois Connections | +|Hugs.NET |Galois Connections | +|O'Haskell|Oregon Graduate Institute | +|O'Haskell|Chalmers University of Technology| +|HBC |Chalmers University of Technology| ++---------+---------------------------------+ + +Zorg ervoor dat de uitvoer er precies zo uit ziet als hier. + +Hint + +Schrijf een functie die de breedte van een kolom kan bepalen. Houd daarbij +niet alleen rekening met de waarden (zoals Helium en Hugs.NET) maar ook met +de veldnaam (Compiler). De veldnaam zou immers langer kunnen zijn dan elk +van de waarden. + +Selecteren van kolommen + +De volgende stap is het selecteren van bepaalde kolommen uit een tabel, ook +wel projectie genoemd. De functietoepassing project velden tabel levert een +nieuwe tabel op waarbij alleen die kolommen uit tabel overblijven die genoemd +worden in velden. Hier is het type: + +project :: [String] -> Table -> Table + +En zo zou je de functie kunnen gebruiken: + +Database> putStr (writeTable (project ["Stad", "Land"] locaties)) ++---------+----------------+ +|Stad |Land | ++---------+----------------+ +|Utrecht |Nederland | +|York |Engeland | +|Cambridge|Engeland | +|Beaverton|Verenigde Staten| +|Beaverton|Verenigde Staten| +|Goteborg |Zweden | ++---------+----------------+ + +Merk op dat Stad en Land nu in omgekeerde volgorde staan vergeleken met de +oorspronkelijke tabel. + +Selecteren van records + +Net hebben we kolommen geselecteerd, nu gaan we rijen (records) selecteren. +De expressie select veld conditie tabel levert een nieuwe tabel op waarin +alleen die rijen overblijven waarvan de waarde voor het gegeven veld aan de +conditie voldoet. De conditie is een functie die een boolean resultaat +oplevert. De functie die jullie moeten schrijven heeft het type: + +select :: String -> (String -> Bool) -> Table -> Table + +En hier is een voorbeeld van het gebruik (selecteer de compilers waarvan +de naam 3 lang is): + +Database> putStr (writeTable (select "Compiler" ((==3) . length) compilers)) ++--------+---------------------------------+ +|Compiler|Universiteit/bedrijf | ++--------+---------------------------------+ +|NHC |University of York | +|GHC |Microsoft Research | +|HBC |Chalmers University of Technology| ++--------+---------------------------------+ + +Combineren van tabellen + +De laatste bewerking die jullie maken is het combineren van twee tabellen. +Voorwaarde is dat de twee tabellen precies een veld gemeen hebben. Voor de +bovenstaande voorbeeldtabellen geldt dat; het gemeenschappelijke veld is +Universiteit/bedrijf. De combinatie van de tabellen heeft als veldnamen de +veldnamen van de eerste en daarbij die van de tweede behalve het +gemeenschappelijk veld. Dus als de eerste tabel n velden heeft en de tweede +tabel m dan heeft de gecombineerde tabel n+m-1 velden. De records in de +nieuwe tabel zijn alle combinaties van de records uit beide tabellen waarbij +het gemeenschappelijke veld dezelfde waarde heeft. De naam van de tabel is +een combinatie van de namen van de twee tabellen. In het voorbeeld kun je +zien wat de bedoeling is. + +join :: Table -> Table -> Table + +Dit voorbeeld laat de werking van join zien. Merk op dat Stad en Land van +Chalmers nu twee keer voorkomen omdat daar nu eenmaal twee compilers vandaan komen. + +Database> putStr (writeTable (join compilers locaties)) ++---------+---------------------------------+----------------+---------+ +|Compiler |Universiteit/bedrijf |Land |Stad | ++---------+---------------------------------+----------------+---------+ +|Helium |Universiteit Utrecht |Nederland |Utrecht | +|NHC |University of York |Engeland |York | +|GHC |Microsoft Research |Engeland |Cambridge| +|Hugs |Galois Connections |Verenigde Staten|Beaverton| +|Hugs.NET |Galois Connections |Verenigde Staten|Beaverton| +|O'Haskell|Oregon Graduate Institute |Verenigde Staten|Beaverton| +|O'Haskell|Chalmers University of Technology|Zweden |Goteborg | +|HBC |Chalmers University of Technology|Zweden |Goteborg | ++---------+---------------------------------+----------------+---------+ + +Hints + + * Schrijf een functie die bepaalt welke veldnaam twee tabellen + gemeenschappelijk hebben. + * Lijstcomprehensies! + +Tot slot + +Samenvattend moeten de volgende functies geschreven worden: + +writeTable :: Table -> String +project :: [String] -> Table -> Table +select :: String -> (String -> Bool) -> Table -> Table +join :: Table -> Table -> Table + +Bovenstaande functies vormen nu samen een kleine "functional query language". +Bij het gebruik van die query language heb je de beschikking over de volledige +kracht van Haskell waardoor bijvoorbeeld geneste queries geen probleem zijn. +Als uitsmijter een query die alle functies combineert om de Haskell +compilers te bepalen die aan universiteiten worden gemaakt. Een extra +tabel wordt gebruikt om aan te geven of iets een universiteit of een bedrijf is: + +query :: Table +query = + project ["Compiler"] + (select "Soort" ((==) "Universiteit") + (join compilers (join locaties soort))) + +soort :: Table +soort = + [ ["Universiteit/bedrijf", "Soort"] + , ["Universiteit Utrecht", "Universiteit"] + , ["University of York", "Universiteit"] + , ["Microsoft Research", "Bedrijf"] + , ["Galois Connections", "Bedrijf"] + , ["Oregon Graduate Institute", "Universiteit"] + , ["Chalmers University of Technology", "Universiteit"] + ] + +Database> putStr (writeTable query) ++---------+ +|Compiler | ++---------+ +|Helium | +|NHC | +|O'Haskell| +|O'Haskell| +|HBC | ++---------+ + diff --git a/fp/1/pr1.diff b/fp/1/pr1.diff new file mode 100644 index 0000000..d24bd31 --- /dev/null +++ b/fp/1/pr1.diff @@ -0,0 +1,174 @@ +diff --git a/home/tijnema/Downloads/prog.hs b/pr1_def.hs +index 697458f..4805045 100644 +--- a/home/tijnema/Downloads/prog.hs ++++ b/pr1_def.hs +@@ -1,13 +1,10 @@ + module FQL where + + import List +-import Data.Char +-import Data.Maybe + + -- Defenities van deze opgave (Gegeven) + + type Table = [[String]] +-type IntegerList = [Int] + + -- VoorGedefinieerde Tables (Gegeven) + +@@ -35,95 +32,91 @@ locaties = + ] + + --- +---- writeTable Functies. +---- ++--- writeTable Functies. ++--- + + -- calculateRowLengths +--- Bereken de lengtes van een [String] Array voor elk String element. +--- @param1 - Lijst van strings waarvan de lengtes moeten worden berekent. +--- @output - Lijst van integers van de lenges van de elementen van param1. ++-- Bereken de lengtes voor elk element van een lijst van strings. ++-- @param1 - Lijst van strings waarvan de lengtes moeten worden berekend. ++-- @output - Lijst van integers van de lengtes van de elementen in param1. + calculateRowLengths :: [String] -> [Int] +-calculateRowLengths (x:xs) = z where z = length(x) : calculateRowLengths(xs) ++calculateRowLengths (x:xs) = length x : calculateRowLengths xs + calculateRowLengths [] = [] + + -- getMaxNumbersOfTwoLists +--- Retourneer de maximale waarden van elementen met de zelfde index en retourneer deze als een lijst. ++-- Geeft een integer lijst met op elke index de maximale waarde van de invoer lijsten op diezelfde index. + -- @param1 - Integer lijst 1 +--- @param2 - Integer Lijst 2 ++-- @param2 - Integer lijst 2 + -- @output - Lijst van de maximale waardes van elementen van param1 en param2 waarvan de index hetzelfde is. + getMaxNumbersOfTwoLists :: [Int] -> [Int] -> [Int] +-getMaxNumbersOfTwoLists (xa:xsa) (xb:xsb) = z where z = max(xa)(xb) : getMaxNumbersOfTwoLists(xsa)(xsb) +-getMaxNumbersOfTwoLists [] (x:xs) = z where z = x : getMaxNumbersOfTwoLists([])(xs) +-getMaxNumbersOfTwoLists (x:xs) [] = z where z = x : getMaxNumbersOfTwoLists(xs)([]) +-getMaxNumbersOfTwoLists [] [] = [] ++getMaxNumbersOfTwoLists (xa:xsa) (xb:xsb) = max xa xb : getMaxNumbersOfTwoLists xsa xsb ++getMaxNumbersOfTwoLists [] (x:xs) = x : getMaxNumbersOfTwoLists [] xs ++getMaxNumbersOfTwoLists (x:xs) [] = x : getMaxNumbersOfTwoLists xs [] ++getMaxNumbersOfTwoLists [] [] = [] + + -- getMaxColumnLengths +--- Retourneer de maximale lengtes per kolom van een tabel. +--- @param1 - Tabel waarvan de maximale lengtes van de kolommen moeten worden berekent. ++-- De maximale lengtes per kolom van een tabel. ++-- @param1 - Tabel waarvan de lengte moet worden berekend. + -- @output - Lijst van integers met de maximale lengtes van de kolommen. + getMaxColumnLengths :: Table -> [Int] +-getMaxColumnLengths (x:xs) = z where z = getMaxNumbersOfTwoLists (calculateRowLengths x ) (getMaxColumnLengths xs ) ++getMaxColumnLengths (x:xs) = getMaxNumbersOfTwoLists (calculateRowLengths x) (getMaxColumnLengths xs) + getMaxColumnLengths [] = [] + +--- writeTableFooterColumn +--- Maak de table Footer voor 1 kolom ( ------+ ) +--- @param 1 - Lengte van kolom +--- @output - String representatie van de kolom-seperator. +-writeTableFooterColumn :: Int -> String +-writeTableFooterColumn x +- | x == 0 = "+" +- | otherwise = concat(["-" ,writeTableFooterColumn(x-1)]) +- +--- writeTableFooterL +--- Recursieve functie om elk stuk van een kolom de footer voor te printen +--- @param1 - Integer lijst +--- @output - String representatie van de footer van de kolommen +-writeTableFooterL :: [Int] -> String +-writeTableFooterL (x:xs) = z where z = concat([writeTableFooterColumn(x) , writeTableFooterL(xs)]) +-writeTableFooterL [] = "\n" +- +--- writeTableFooter +--- schrijf de eerste + van de rij en roep dan de recursieve functie aan om de kolommen te weergeven +--- @param1 - Integer lijst met de maximale lengtes van de kolommen. +--- @output - String representatie van de tabel seperator. +-writeTableFooter :: [Int] -> String +-writeTableFooter xs = z where z = concat(["+" , writeTableFooterL(xs)]) +-writeTableFooter [] = "\n" +- +--- writeSpaces +--- Schrijf spaties om ruimte te vullen. +--- @param1 - Het aantal spaties wat in de output moet staan +--- @output - param1 aantal spaties in een String. +-writeSpaces :: Int -> String +-writeSpaces x -- = if x == 0 then " " else concat([" " , writeSpaces( x - 1)]) +- | x >= 0 = " " ++ writeSpaces (x-1) +- | otherwise = "" +- ++-- writeStringNTimes ++-- Schrijf de invoer string n keer naar de uitvoer string. ++-- @param1 - Aantal keer dat de string geschreven moet worden. ++-- @param2 - Invoer string ++-- @output - Uitvoer string ++writeStringNTimes :: Int-> String -> String ++writeStringNTimes n s ++ | n > 0 = concat [s , writeStringNTimes (n - 1) s] ++ | otherwise = "" ++ ++-- writeTableSeperator ++-- Schrijf een tussenlijn naar de uitvoer string ++-- @param1 - Maximale kolom lengtes ++-- @output - Uitvoer string ++writeTableSeperator :: [Int] -> String ++writeTableSeperator (x:xs) = concat ["+", writeStringNTimes x "-", writeTableSeperator xs] ++writeTableSeperator [] = "+\n" ++ + -- writeRow +--- Schrijf de inhoud van een rij van een Tabel. +--- @param1 - De rij die moet worden weergeven ++-- Schrijf de inhoud van een rij van de tabel naar de uitvoer string. ++-- @param1 - De rij die moet worden weergegeven. + -- @param2 - De maximale kolom lengtes van de tabel. +--- @output - String representatie van de rij. ++-- @output - Uitvoer string. + writeRow:: [String] -> [Int] -> String +-writeRow (x:xs) (xa:xsa) = y where y = concat(["|" , x , writeSpaces((xa - length(x)) - 1) , writeRow(xs)(xsa)]) ++writeRow (x:xs) (xa:xsa) = concat ["|", x, writeStringNTimes (xa - length x) " ", writeRow xs xsa] + writeRow [] [] = "|\n" + +--- Functie met doorgegeven max length, voorkom veel aanroepen aan maxLength ++-- writeTableContents ++-- Schrijf de waarden van de tabel naar de uitvoer string. ++-- @param1 - De tabel. ++-- @param2 - De maximale kolom lengtes van de tabel. ++-- @output - Uitvoer string + writeTableContents :: Table -> [Int] -> String +-writeTableContents (x:xs) maxWidths = z where z = concat([writeRow(x)(maxWidths) ,writeTableContents(xs)(maxWidths)]) +-writeTableContents [] maxWidths = z where z = writeTableFooter(maxWidths) +- +-writeTableHeader:: [Int] -> [String] -> String +-writeTableHeader x table = y where y = concat [writeTableFooter(x), writeRow(table)(x), writeTableFooter(x)] +- +--- Functie die wordt aangeroepen ++writeTableContents (x:xs) maxWidths = concat [writeRow x maxWidths, writeTableContents xs maxWidths] ++writeTableContents [] maxWidths = writeTableSeperator maxWidths ++ ++-- writeTableHeader ++-- Schrijf de kop van de tabel naar de uitvoer string. ++-- @param1 - De waarden van de kop van de tabel. ++-- @param2 - De maximale kolom lengtes ++-- @output - Uitvoer string. ++writeTableHeader:: [String] -> [Int] -> String ++writeTableHeader header x = concat [writeTableSeperator x, writeRow header x, writeTableSeperator x] ++ ++-- writeTable ++-- Schrijf een tabel naar de uitvoer string. ++-- @param1 - De tabel. ++-- @output - Uitvoer string. + writeTable :: Table -> String +-writeTable (x:xs) = z where z = concat([writeTableHeader(getMaxColumnLengths(x:xs))(x) , writeTableContents(xs)(getMaxColumnLengths(x:xs))]) ++writeTable x = concat [writeTableHeader (head x) (getMaxColumnLengths x), writeTableContents (tail x) (getMaxColumnLengths x)] + writeTable [] = "" + + -- +--- Project functies +--- Project retourneert de opgegeven kolommen van een Table die door de gebruiker is gedefinieert ++-- Project functies ++-- Project retourneert de opgegeven kolommen van een Table die door de gebruiker is gedefinieert + -- + + --returnArrayIfFirstElementEqualsString diff --git a/fp/1/pr1.hs b/fp/1/pr1.hs new file mode 100644 index 0000000..ab1a57a --- /dev/null +++ b/fp/1/pr1.hs @@ -0,0 +1,104 @@ +import List + +type Table = [Row] +type Row = [String] +type IntList = [Int] + +compilers :: Table +compilers = + [ ["Compiler", "Universiteit/bedrijf"] + , ["Helium", "Universiteit Utrecht"] + , ["NHC", "University of York"] + , ["GHC", "Microsoft Research"] + , ["Hugs", "Galois Connections"] + , ["Hugs.NET", "Galois Connections"] + , ["O'Haskell", "Oregon Graduate Institute"] + , ["O'Haskell", "Chalmers University of Technology"] + , ["HBC", "Chalmers University of Technology"] + ] +locaties :: Table +locaties = + [ ["Universiteit/bedrijf", "Land", "Stad"] + , ["Universiteit Utrecht", "Nederland", "Utrecht"] + , ["University of York", "Engeland", "York"] + , ["Microsoft Research", "Engeland", "Cambridge"] + , ["Galois Connections", "Verenigde Staten", "Beaverton"] + , ["Oregon Graduate Institute", "Verenigde Staten", "Beaverton"] + , ["Chalmers University of Technology", "Zweden", "Goteborg"] + ] + +calculateRowLengths :: Row -> IntList +calculateRowLengths (x:xs) = z where z = length(x) : calculateRowLengths(xs) +calculateRowLengths [] = [] + +getMaxNumbersOfTwoLists :: IntList -> IntList -> IntList +getMaxNumbersOfTwoLists (xa:xsa) (xb:xsb) = z where z = max(xa)(xb) : getMaxNumbersOfTwoLists(xsa)(xsb) +getMaxNumbersOfTwoLists (x:xs) [] = z where z = x : getMaxNumbersOfTwoLists(xs)([]) +getMaxNumbersOfTwoLists [] (x:xs) = z where z = x : getMaxNumbersOfTwoLists(xs)([]) +getMaxNumbersOfTwoLists [] [] = [] + +getMaxColumnLengths :: Table -> IntList +getMaxColumnLengths (x:xs) = z where z = getMaxNumbersOfTwoLists(calculateRowLengths(x))(getMaxColumnLengths(xs)) +getMaxColumnLengths [] = [] + +writeTableSeperator :: IntList -> String +writeTableSeperator (x:xs) = z where z = concat(["+", writeStringNTimes(x)("-") , writeTableSeperator(xs)]) +writeTableSeperator [] = "+\n" + +writeStringNTimes :: Int-> String -> String +writeStringNTimes n s + | n > 0 = concat([s , writeStringNTimes( n - 1)(s)]) + | otherwise = "" + +writeRow:: Row -> IntList -> String +writeRow (x:xs) (xa:xsa) = y where y = concat(["|" , x , writeStringNTimes(xa - length(x))(" ") , writeRow(xs)(xsa)]) +writeRow [] [] = "|\n" + +-- Functie met doorgegeven max length, voorkom veel aanroepen aan maxLength +writeTableContents :: Table -> IntList -> String +writeTableContents (x:xs) maxWidths = z where z = concat([writeRow(x)(maxWidths) ,writeTableContents(xs)(maxWidths)]) +writeTableContents [] maxWidths = z where z = writeTableSeperator(maxWidths) + +writeTableHeader:: IntList -> Row -> String +writeTableHeader x table = y where y = concat([writeTableSeperator(x) ,writeRow(table)(x) , writeTableSeperator(x)]) + +-- Functie die wordt aangeroepen +writeTable :: Table -> String +writeTable (x:xs) = z where z = concat([writeTableHeader(getMaxColumnLengths(x:xs))(x) , writeTableContents(xs)(getMaxColumnLengths(x:xs))]) + +-- Functie die wordt aangeroepen +project :: [String] -> Table -> Table +project columns table = createTableFromIndexList (projectGetIndexList columns table) table + +createTableFromIndexList :: IntList -> Table -> Table +createTableFromIndexList indexlist (x:xs) = concat([[createColumnFromIndexList indexlist x], createTableFromIndexList indexlist xs]) +createTableFromIndexList indexlist [] = [] + +createColumnFromIndexList :: IntList -> Row -> Row +createColumnFromIndexList (x:xs) row = concat([[getColumnFromIndex x row],createColumnFromIndexList xs row]) +createColumnFromIndexList [] row = [] + +getColumnFromIndex :: Int -> Row -> String +getColumnFromIndex idx column + | idx == 0 = head column + | otherwise = getColumnFromIndex (idx-1) (tail column) + +projectGetIndexList :: [String] -> Table -> IntList +projectGetIndexList (x:xs) table = concat([[getColumnIndex table x], projectGetIndexList xs table]) +projectGetIndexList [] table = [] + +getColumnIndexInternal :: Row -> String -> Int -> Int +getColumnIndexInternal (x:xs) name begin + | x == name = begin + | otherwise = getColumnIndexInternal(xs)(name)(begin+1) +getColumnIndexInternal [] name begin = -1 + +getColumnIndex :: Table -> String -> Int +getColumnIndex (x:xs) name = z where z = getColumnIndexInternal( x )(name)( 0) + + +-- Functie Join +join Table -> Table -> Table +join x y = joinT (transpose x) (transpose y) + +-- FUCK YOU! diff --git a/fp/1/pr1_def.hs b/fp/1/pr1_def.hs new file mode 100644 index 0000000..ecd2ca9 --- /dev/null +++ b/fp/1/pr1_def.hs @@ -0,0 +1,279 @@ +module FQL where + +import List + +-- Defenities van deze opgave (Gegeven) + +type Table = [[String]] + +-- VoorGedefinieerde Tables (Gegeven) + +compilers :: Table +compilers = + [ ["Compiler", "Universiteit/bedrijf"] + , ["Helium", "Universiteit Utrecht"] + , ["NHC", "University of York"] + , ["GHC", "Microsoft Research"] + , ["Hugs", "Galois Connections"] + , ["Hugs.NET", "Galois Connections"] + , ["O'Haskell", "Oregon Graduate Institute"] + , ["O'Haskell", "Chalmers University of Technology"] + , ["HBC", "Chalmers University of Technology"] + ] +locaties :: Table +locaties = + [ ["Universiteit/bedrijf", "Land", "Stad"] + , ["Universiteit Utrecht", "Nederland", "Utrecht"] + , ["University of York", "Engeland", "York"] + , ["Microsoft Research", "Engeland", "Cambridge"] + , ["Galois Connections", "Verenigde Staten", "Beaverton"] + , ["Oregon Graduate Institute", "Verenigde Staten", "Beaverton"] + , ["Chalmers University of Technology", "Zweden", "Goteborg"] + ] + +--- +--- writeTable Functies. +--- + +-- calculateRowLengths +-- Bereken de lengtes voor elk element van een lijst van strings. +-- @param1 - Lijst van strings waarvan de lengtes moeten worden berekend. +-- @output - Lijst van integers van de lengtes van de elementen in param1. +calculateRowLengths :: [String] -> [Int] +calculateRowLengths (x:xs) = length x : calculateRowLengths xs +calculateRowLengths [] = [] + +-- getMaxNumbersOfTwoLists +-- Geeft een integer lijst met op elke index de maximale waarde van de invoer lijsten op diezelfde index. +-- @param1 - Integer lijst 1 +-- @param2 - Integer lijst 2 +-- @output - Lijst van de maximale waardes van elementen van param1 en param2 waarvan de index hetzelfde is. +getMaxNumbersOfTwoLists :: [Int] -> [Int] -> [Int] +getMaxNumbersOfTwoLists (xa:xsa) (xb:xsb) = max xa xb : getMaxNumbersOfTwoLists xsa xsb +getMaxNumbersOfTwoLists [] (x:xs) = x : getMaxNumbersOfTwoLists [] xs +getMaxNumbersOfTwoLists (x:xs) [] = x : getMaxNumbersOfTwoLists xs [] +getMaxNumbersOfTwoLists [] [] = [] + +-- getMaxColumnLengths +-- De maximale lengtes per kolom van een tabel. +-- @param1 - Tabel waarvan de lengte moet worden berekend. +-- @output - Lijst van integers met de maximale lengtes van de kolommen. +getMaxColumnLengths :: Table -> [Int] +getMaxColumnLengths (x:xs) = getMaxNumbersOfTwoLists (calculateRowLengths x) (getMaxColumnLengths xs) +getMaxColumnLengths [] = [] + +-- writeStringNTimes +-- Schrijf de invoer string n keer naar de uitvoer string. +-- @param1 - Aantal keer dat de string geschreven moet worden. +-- @param2 - Invoer string +-- @output - Uitvoer string +writeStringNTimes :: Int-> String -> String +writeStringNTimes n s + | n > 0 = concat [s , writeStringNTimes (n - 1) s] + | otherwise = "" + +-- writeTableSeperator +-- Schrijf een tussenlijn naar de uitvoer string +-- @param1 - Maximale kolom lengtes +-- @output - Uitvoer string +writeTableSeperator :: [Int] -> String +writeTableSeperator (x:xs) = concat ["+", writeStringNTimes x "-", writeTableSeperator xs] +writeTableSeperator [] = "+\n" + +-- writeRow +-- Schrijf de inhoud van een rij van de tabel naar de uitvoer string. +-- @param1 - De rij die moet worden weergegeven. +-- @param2 - De maximale kolom lengtes van de tabel. +-- @output - Uitvoer string. +writeRow:: [String] -> [Int] -> String +writeRow (x:xs) (xa:xsa) = concat ["|", x, writeStringNTimes (xa - length x) " ", writeRow xs xsa] +writeRow [] [] = "|\n" + +-- writeTableContents +-- Schrijf de waarden van de tabel naar de uitvoer string. +-- @param1 - De tabel. +-- @param2 - De maximale kolom lengtes van de tabel. +-- @output - Uitvoer string +writeTableContents :: Table -> [Int] -> String +writeTableContents (x:xs) maxWidths = concat [writeRow x maxWidths, writeTableContents xs maxWidths] +writeTableContents [] maxWidths = writeTableSeperator maxWidths + +-- writeTableHeader +-- Schrijf de kop van de tabel naar de uitvoer string. +-- @param1 - De waarden van de kop van de tabel. +-- @param2 - De maximale kolom lengtes +-- @output - Uitvoer string. +writeTableHeader:: [String] -> [Int] -> String +writeTableHeader header x = concat [writeTableSeperator x, writeRow header x, writeTableSeperator x] + +-- writeTable +-- Schrijf een tabel naar de uitvoer string. +-- @param1 - De tabel. +-- @output - Uitvoer string. +writeTable :: Table -> String +writeTable x = concat [writeTableHeader (head x) (getMaxColumnLengths x), writeTableContents (tail x) (getMaxColumnLengths x)] +writeTable [] = "" + +--- +--- Project functies +--- + +-- returnArrayIfFirstElementEqualsString +-- Geeft de kolom waarvan het eerste element gelijk is aan die van de invoer +-- @param1 - Een ge'transpose'de tabel +-- @param2 - De naam van de kolom die gevonden moet worden +-- @output - De kolom die gezocht werd +-- +returnArrayIfFirstElementEqualsString :: Table -> String -> [String] +returnArrayIfFirstElementEqualsString [] x = [] +returnArrayIfFirstElementEqualsString (x:xs) s + | head(x) == s = x + | otherwise = returnArrayIfFirstElementEqualsString xs s + +-- filterColumnNames +-- Vind alle kolommen die in de invoer zijn gegeven +-- @param1 - Lijst met strings waarvan de kolommen moeten worden geretourneerd +-- @param2 - Een ge'transpose'de tabel +-- @output - De gefilterde tabel +findColumnNames :: [String] -> Table -> Table +findColumnNames [] table = [] +findColumnNames (x:xs) table = returnArrayIfFirstElementEqualsString table x : findColumnNames xs table + +-- project +-- Geeft de opgegeven kolommen van een tabel +-- @param1 - De namen van de kolommen die we willen hebben +-- @param2 - De invoer tabel +-- @output - De uitvoer tabel +project :: [String] -> Table -> Table +project columns table = transpose (findColumnNames columns (transpose table)) + +--- +--- Select +--- + +-- getColumnIndex +-- Geeft voor een bepaalde string aan welk positie het heeft in de kolom +-- @param1 - Invoer kolom +-- @param2 - Invoer string +-- @output - Index van de string in de kolom +getColumnIndex :: [String] -> String -> Int +getColumnIndex (x:xs) s + | x == s = 0 + | otherwise = 1 + getColumnIndex xs s + +-- getColumnFromRowByIndex +-- Geeft van een rij de juiste kolom aan de hand van een index +-- @param1 - Invoer rij +-- @param2 - Index +-- @output - De string die op de positie van de index in de kolom staat +getColumnFromRowByIndex :: [String] -> Int -> String +getColumnFromRowByIndex (x:xs) idx + | idx == 0 = x + | otherwise = getColumnFromRowByIndex xs (idx-1) + +-- ifCondition +-- Geeft alle waardes in een bepaalde rij die voldoen aan een bepaalde voorwaarde +-- @param1 - Invoer tabel +-- @param2 - Voorwaarde +-- @param3 - Kolom index +-- @output - Tabel met slechts de rijen die voldoen aan de voorwaarde +ifCondition :: Table -> (String->Bool) -> Int -> Table +ifCondition (x:xs) c i + | c (getColumnFromRowByIndex x i) = x : ifCondition xs c i + | otherwise = ifCondition xs c i +ifCondition [] c i = [] + +-- select +-- Selecteer een aantal rijen op basis van een voorwaarde +-- @param1 - Naam van de kolom die doorzocht moet worden +-- @param2 - Voorwaarde voor het selecteren van de rijen +-- @param3 - Invoer tabel +-- @output - Uitvoer tabel +select :: String -> (String -> Bool) -> Table -> Table +select s c (x:xs) = x : ifCondition xs c (getColumnIndex x s) + +--- +--- Join functies +--- + +-- containsColumn +-- Bevat een opgegeven rij een string? +-- @param1 - Lijst van strings +-- @param2 - De te vinden string +-- @output - True of False. +containsColumn :: [String] -> String -> Bool +containsColumn (x:xs) s + | x == s = True + | otherwise = containsColumn xs s +containsColumn [] s = False + +-- findCommonFieldIndexInFirstRow +-- Vind 2 gelijke kolommen in twee rijen. +-- @param1 - Rij 1 +-- @param2 - Rij 2 +-- @Output - (x1,x2) waar x1 de index is van de gemeenschappelijke kolom in Rij 1 en x2 de index van de gemeenschappelijke kolom van Rij 2. +findCommonFieldIndexInFirstRow :: [String] -> [String] -> (Int,Int) +findCommonFieldIndexInFirstRow (x:xs) row2 + | containsColumn row2 x = (0, getColumnIndex row2 x) + | otherwise = z where (x1,x2) = findCommonFieldIndexInFirstRow xs row2; z = (x1+1,x2) + +-- findMatch +-- Retourneert +findMatch :: Table -> String -> Int -> [String] +findMatch (x:xs) value idx + | (getColumnFromRowByIndex x idx) == value = x + | otherwise = findMatch xs value idx +findMatch [] value idx = [] + +-- addRowsIfNotNull +-- Retourneert een rij die is samengevoegd uit rij1 en rij 2 indien zowel rij1 en rij 2 geen lege reeksen zijn +-- @param1 - Rij 1 +-- @param2 - Rij 2 +-- @output - concat [a,b] als a.length > 0 en b.length > 0 +addRowsIfNotNull :: [String] -> [String] -> [String] +addRowsIfNotNull [] [] = [] +addRowsIfNotNull a [] = [] +addRowsIfNotNull b [] = [] +addRowsIfNotNull a b = concat [a, b] + +-- removeColumnFromRowByIndex +-- verwijdert de opgegeven kolom uit de lijst. +-- @param1 - de lijst. +-- @param2 - Index van te verwijderen kolom. +-- @output - String lijst met de kolom van param2 verwijdert. +removeColumnFromRowByIndex :: [String] -> Int -> [String] +removeColumnFromRowByIndex (x:xs) idx + | idx == 0 = removeColumnFromRowByIndex xs (idx-1) + | otherwise = x : removeColumnFromRowByIndex xs (idx-1) +removeColumnFromRowByIndex [] idx = [] + + +-- removecolumnFromTableByIndex +-- Verwijdert een opgegeven kolom van de tabel. +-- @param1 - De tabel waaruit de kolom moet worden verwijdert +-- @param2 - De Index van de Kolom die moet worden verwijdert uit de rijen. +-- @output - De tabel van param1 zonder de kolom van param2 +removeColumnFromTableByIndex :: Table -> Int -> Table +removeColumnFromTableByIndex (x:xs) idx = removeColumnFromRowByIndex x idx : removeColumnFromTableByIndex xs idx +removeColumnFromTableByIndex [] idx = [] + + +-- recJoin +-- Recursieve body van Join. retourneert een tabel van samengevoegde rijen. +-- Indien de waarde van de gemeenschappelijke kolom van tabel 1 +-- voorkomt in de kolom van een van de rijen van tabel 2 worden deze 2 rijen samengevoegd en geretourneerd. +-- @param1 - Table 1 +-- @param2 - Table 2 +-- @param3 - (Index of common row in table1, Index of common row in table2) +-- @output - De samengevoegde tabel van Table1 en Table2 +recJoin :: Table -> Table -> (Int,Int) -> Table +recJoin (x:xs) table2 (idx1,idx2) = concat [[addRowsIfNotNull x (findMatch table2 (getColumnFromRowByIndex x idx1) idx2)], recJoin xs table2 (idx1,idx2)] +recJoin [] table2 (idx1,idx2) = [] + + +-- Join +-- @param1 - Tabel 1 +-- @param2 - Tabel 2 +-- @output - retourneerd tabel 1 + tabel 2 samengevoegd tot 1 tabel +join :: Table -> Table -> Table +join table1 table2 = z where (x1,x2) = findCommonFieldIndexInFirstRow (head table1) (head table2); z = removeColumnFromTableByIndex (recJoin table1 table2 (x1,x2)) x1 \ No newline at end of file diff --git a/fp/1/practicum1.hs b/fp/1/practicum1.hs new file mode 100644 index 0000000..bf56cbc --- /dev/null +++ b/fp/1/practicum1.hs @@ -0,0 +1,50 @@ +type Row = [String] +type Table = [Row] + +--tableColumnLen :: Table -> [Int] -> [Int] +testrow :: Row +testrowb :: Row +testrow = ["Comp", "jf"] +testrowb = ["He", "Universiteit Utrecht"] + +compilers :: Table +compilers = + [ ["Compiler", "Universiteit/bedrijf"] + , ["Helium", "Universiteit Utrecht"] + , ["NHC", "University of York"] + , ["GHC", "Microsoft Research"] + , ["Hugs", "Galois Connections"] + , ["Hugs.NET", "Galois Connections"] + , ["O'Haskell", "Oregon Graduate Institute"] + , ["O'Haskell", "Chalmers University of Technology"] + , ["HBC", "Chalmers University of Technology"] + ] + +locaties :: Table +locaties = + [ ["Universiteit/bedrijf", "Land", "Stad"] + , ["Universiteit Utrecht", "Nederland", "Utrecht"] + , ["University of York", "Engeland", "York"] + , ["Microsoft Research", "Engeland", "Cambridge"] + , ["Galois Connections", "Verenigde Staten", "Beaverton"] + , ["Oregon Graduate Institute", "Verenigde Staten", "Beaverton"] + , ["Chalmers University of Technology", "Zweden", "Goteborg"] + ] + + +--tableColumnLen [] s = return s -- Return size of header +--tableColumnLen (x:xs) = tableRowLen(x) --tableColumnLen(xs) + +tableRowLen :: Row -> [Int] +tableRowLen [] = [] +tableRowLen (x:xs) = z where z = length(x) : tableRowLen(xs) + +compareLen :: [Int] -> [Int] -> [Int] +compareLen [] [] = [] +compareLen (x:xs) (y:ys) = max(x)(y) : compareLen(xs)(ys) + +getMaxTableRowLen :: Table -> Row -> [Int] +getMaxTableRowLen [] [] = []; +getMaxTableRowLen (x:xs) [] = getMaxTableRowLen(xs)(x) +getMaxTableRowLen (x:xs) y = compareLen(tableRowLen(x))(tableRowLen(y)) + diff --git a/fp/1/test.hs b/fp/1/test.hs new file mode 100644 index 0000000..b9b400d --- /dev/null +++ b/fp/1/test.hs @@ -0,0 +1,4 @@ + + +testFunc :: Int -> Int +testFunc x = y where y = x; while(x) y = y - 1 \ No newline at end of file diff --git a/fp/Haskell_The_Craft_Of_Functiona.pdf 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