1 Homework Administrivia
Coverage. This homework covers material in Chapters 1 & 2 of Haskell: The Craft of Functional Programming (HCFP).
CIS 252 C Introduction to Computer Science
First, introduce the folowing Haskell denition:
twoHorse :: Picture twoHorse = sideBySide horse (invertColour horse)
Now, dene each of the pictures illustrated in Exercises 2.4 and 2.5, using Logistics. This homework is due in the bin in SciTech 3-212 by noon on only twoHorse and the functions dened in the Pictures module (i.e., Friday, January 25. You may work singly or in pairs on this assignment. do not dene any new helper functions).
P ROBLEM 2. Write a Haskell function What to turn in. Turn in a hard copy of your source code and a transcript demonstrating convincingly that your code is correct. You should also submit your code (but not the transcript) to the email archive.
checker3 :: Picture -> Picture -> Picture
such that (checker3 pic1 pic2) returns a 3 3 checkerboard alternatLook here for details on what the grader will be expecting. For this homeing between pic1 and pic2. work, ignore the design recipe stuff, but dont forget putting your names P ROBLEM 3. Write a Haskell function on what you hand in!
diag3 :: Picture -> Picture -> Picture
such that (diag3 pic1 pic2) returns a 3 3 grid, with the main diagonal (upper left to lower right) containing pic1 and all other spaces You may use any code from lecture that you wish. In fact, I encourage containing pic2. you to do so. However, you should include a note in your comments indicating that you are doing so and specifying which functions you are P ROBLEM 4. Write a Haskell function reusing. You will need to grab a copy of Pictures.lhs to use the Pictures module. (Make sure your browser saves the le under the name Pictures.lhs.) such that (diag4 pic1 pic2) returns a 4 4 grid, with the main diDo not add your code to this le. Instead, keep a copy of this le in the agonal (upper left to lower right) containing pic1 and all other spaces same directory as your homework code. Also, in your homework code containing pic2. include an import Pictures directive at the top of your le. N.B. The solutions for these problems can all be written in a single line P ROBLEM 5. Write a Haskell function or two of Haskell, although possibly requiring the use of a simple helper nestedBox :: Picture -> Picture -> Picture function. If your code is signicantly more complicated than that, then stop, take a deep breath, and look for a simpler solution. such that (nestedBox pic1 pic2) returns a 4 4 grid, with pic2 in the four center spaces and pic1 in all the other spaces. P ROBLEM 1. HCFP, Exercise 2.4 and Exercise 2.5 (page 30)
Exercises
diag4 :: Picture -> Picture -> Picture
Page 1
January 8, 2008
Homework 1 Examples
CIS 252 C Introduction to Computer Science
The examples below illustrate the proper behavior of the functions. They make use of the denitions of white and horse from the textbook.
Main> printPicture (checker3 horse white) .......##......................##... .....##..#...................##..#.. ...##.....#................##.....#. ..#.......#...............#.......#. ..#...#...#...............#...#...#. ..#...###.#...............#...###.#. .#....#..##..............#....#..##. ..#...#...................#...#..... ...#...#...................#...#.... ....#..#....................#..#.... .....#.#.....................#.#.... ......##......................##.... ...................##............... .................##..#.............. ...............##.....#............. ..............#.......#............. ..............#...#...#............. ..............#...###.#............. .............#....#..##............. ..............#...#................. ...............#...#................ ................#..#................ .................#.#................ ..................##................ .......##......................##... .....##..#...................##..#.. ...##.....#................##.....#. ..#.......#...............#.......#. ..#...#...#...............#...#...#. ..#...###.#...............#...###.#. .#....#..##..............#....#..##. ..#...#...................#...#..... ...#...#...................#...#.... ....#..#....................#..#.... .....#.#.....................#.#.... ......##......................##....
Main> printPicture (diag3 horse white) .......##........................... .....##..#.......................... ...##.....#......................... ..#.......#......................... ..#...#...#......................... ..#...###.#......................... .#....#..##......................... ..#...#............................. ...#...#............................ ....#..#............................ .....#.#............................ ......##............................ ...................##............... .................##..#.............. ...............##.....#............. ..............#.......#............. ..............#...#...#............. ..............#...###.#............. .............#....#..##............. ..............#...#................. ...............#...#................ ................#..#................ .................#.#................ ..................##................ .............................##..#.. ...............................##... ...........................##.....#. ..........................#.......#. ..........................#...#...#. ..........................#...###.#. .........................#....#..##. ..........................#...#..... ...........................#...#.... ............................#..#.... .............................#.#.... ..............................##....
Main> printPicture (diag4 horse white) .......##....................................... .....##..#...................................... ...##.....#..................................... ..#.......#..................................... ..#...#...#..................................... ..#...###.#..................................... .#....#..##..................................... ..#...#......................................... ...#...#........................................ ....#..#........................................ .....#.#........................................ ......##........................................ ...................##........................... .................##..#.......................... ...............##.....#......................... ..............#.......#......................... ..............#...#...#......................... ..............#...###.#......................... .............#....#..##......................... ..............#...#............................. ...............#...#............................ ................#..#............................ .................#.#............................ ..................##............................ ...............................##............... .............................##..#.............. ...........................##.....#............. ..........................#.......#............. ..........................#...#...#............. ..........................#...###.#............. .........................#....#..##............. ..........................#...#................. ...........................#...#................ ............................#..#................ .............................#.#................ ..............................##................ ...........................................##... .........................................##..#.. .......................................##.....#. ......................................#.......#. ......................................#...#...#. ......................................#...###.#. .....................................#....#..##. ......................................#...#..... .......................................#...#.... ........................................#..#.... .........................................#.#.... ..........................................##....
Main> printPicture (nestedBox horse white) .......##..........##..........##..........##... .....##..#.......##..#.......##..#.......##..#.. ...##.....#....##.....#....##.....#....##.....#. ..#.......#...#.......#...#.......#...#.......#. ..#...#...#...#...#...#...#...#...#...#...#...#. ..#...###.#...#.....