FP Homework 1

Basic notes

In all exercises you are required to write something to standard output. You can use the same strategy as in Laboratory 7.

Lets define a type for the result:

type Result = [String]

Now, if you want to print this result nicely on the screen, you can use:

pp :: Result -> IO ()
pp x = putStr (concat (map (++"\n") x))

Example - Ships

not' :: Bool -> Bool
not' True = False
not' False = True
infixl 5 `not'` 

and' :: Bool -> Bool -> Bool
and' True True = True
and' _ _ = False
infixl 4 `and'` 

or' :: Bool -> Bool -> Bool
or' False False = False
or' _ _ = True
infixl 3 `or'` 

nand' :: Bool -> Bool -> Bool
nand' x y = not' (and' x y)
infixl 4 `nand'` 

xor' :: Bool -> Bool -> Bool
xor' x y = x/=y
infixl 3 `xor'` 

impl' :: Bool -> Bool -> Bool
impl' True False = False
impl' _ _ = True
infixl 2 `impl'` 

equ' :: Bool -> Bool -> Bool
equ' x y = x == y
infixl 7 `equ'`

Implement the function ships which has 2 arguments. First argument is a list of strings representing play field of one player row by row from top to bottom ('o' - square containing a ship, ' ' - empty square). Second list contains coordinates of squares attacked by second player. Print actual state of a play in the way where every row and column will be labelled by its number or letter, 'o' will be square with ship not attacked yet, 'x' square with ship already attacked, '.' already attacked empty square, ' ' empty square not attacked yet. You can consider that the size of play-field is 10x10.

ships :: Result -> [(Char, Int)] -> Result
sampleInput = ["  o    o  ",
               "      ooo ",
               "   oo     ",
               "          ",
               "     o    ",
               "     o    ",
               "     o    ",
               "          ",
               "          ",
               "  oooo    "]

Prelude>pp(ships sampleInput [('a',1),('d',1),('d',2),('c',1),('b',1),('e',1),('f',1),('g',1),('c',7),('c',10)])
 10  x    o
  9      ooo
  8   oo
  7  .
  6     o
  5     o
  4     o
  3
  2   .
  1..xxxx.
   abcdefghij

1 - Chess position

Implement the function chess which has 2 arguments of the type [String]. Each of these strings in both lists contain 3 characters:

• first stands for chess piece ('K' - king, 'Q' - queen, 'R' - rook, 'B' - bishop, 'N' - knight, 'P' - pawn)
• second stands for column ('a'-'h')
• third is row ('1'-'8')

First list contains actual positions of white pieces and second list positions of black pieces. Print actual state of a chessboard in the way where '.' stands for empty square, capital letters mean white pieces and small letters mean black pieces. Each row and column should be labeled by its number or letter.

chess :: [String] -> [String] -> Result

Prelude> pp( chess["Ke1","Ra1","Rh1","Pa2","Be5"] ["Ke8","Ra8","Rh8","Pa7","Qd8","Bc8","Nb8"])
8rnbqk..r
7p.......
6........
5....B...
4........
3........
2P.......
1R...K..R
 abcdefgh

2 - Ticktacktoe

Implement the function ticktack which has 2 arguments. First argument is a tuple of natural numbers and defines the number of columns and rows of a play field. Coordinates are counted from bottom left corner. Second list contains a record of a match of ticktacktoe game given by coordinates on which played in turns player 'x' and player 'o'. Print actual state of the game in the way where play-field will be bordered by characters '-' and '|', empty squares ' ' and characters 'x' and 'o' will be on squares where the players have played.

ticktack::(Int,Int) -> [(Int,Int)] -> Result

Prelude>pp(ticktack (8,8) [(1,1),(8,8),(2,2),(3,3),(4,2),(3,2)])
----------
|       o|
|        |
|        |
|        |
|        |
|  o     |
| xox    |
|x       |
----------

3 - Maze

Implement the function maze which has 2 arguments. First argument is a list of strings representing a maze row by row from top to bottom ('*' - wall, ' ' - empty square, 's' - starting position). At the beginning we are at position 's'. Second argument is list of directions ('d' - down, 'u' - up, 'l' - left, 'r' - right). Each letter means move by one square in the given direction and on this new square character '.' is placed. Print actual state of a maze.

maze :: Result -> String -> Result 

sampleInput = ["*********",
               "*s*   * *",
               "* * * * *",
               "* * * * *",
               "*   *   *",
               "******* *",
               "        *",
               "*********"]

Prelude>pp(maze sampleInput "dddrruuurrdddrrddllllll")
*********
*s*...* *
*.*.*.* *
*.*.*.* *
*...*...*
*******.*
 .......*
*********

4 - Minesweeper

Implement the function minesweeper which has 1 argument of the type list of strings. The strings represent play field row by row from top to bottom ('*' - mine, ' ' - empty square). Print play field in a way where mines will be represented by '*' and on each square not containing a mine will be a number - count of all mines directly adjacent to this square (it can be adjacent vertically, horizontally or diagonally).

minesweeper :: Result -> Result
sampleInput = ["       ",
               " *     ",
               "    *  ",
               "   *   ",
               "      *",
               "***    ",
               "* *    ",
               "***    "]

Prelude>pp(minesweeper sampleInput)
1110000
1*11110
1122*10
001*221
233211*
***2011
*8*3000
***2000

5 - Turtle

Implement a function that will draw the movement of a turtle in a rectangular grid. It will be named draw and it will have one parameter - a list movements. Our turtle can move only horizontally or vertically. Each movement will be described by a pair (its type will be (Char, Int)), where the first character denotates a direction of this movement and the second its length. Possible directions are: left, right, up, and down. As the result, function draw returns a smallest possible rectangle with all turtle's movements. Each block from the grid will be represented with one character. If it was visited by our turtle, then it will be 'X', if it was not, then it will be ' '.

draw :: [(Char, Int)] -> Result

*Main> pp (draw [('u',5),('r',5),('d',5),('l',10),('d',5),('r',5),('u',5)])      
     XXXXXX
     X    X
     X    X
     X    X
     X    X
XXXXXXXXXXX
X    X
X    X
X    X
X    X
XXXXXX