CSE 130 - Programming Assignment #1


60 points

Must be turned in no later than 4:59:59 PM on 01/19/2007
(see submission instructions below)

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Note: See this for instructions on starting OCaml in the ACS lab machines. To download and install OCaml version 3.09.03 on your home machines see the instructions here. Remember that this is only to enable you to play with the assignment at home: the final version turned in must work on the ACS Linux machines. While you can use windows to begin working with OCaml, the code you turn in must be that required for the Linux environment.

Integrity of Scholarship

University rules on integrity of scholarship will be strictly enforced. By completing this assignment, you implicitly agree to abide by the UCSD Policy on Integrity of Scholarship described beginning on page 62 of the Academic Regulations section (PDF) of the 2002-2003 General Catalog, in particular, "all academic work will be done by the student to whom it is assigned, without unauthorized aid of any kind."

You are expected to do your own work on this assignment; there are no group projects in this course. You may (and are encouraged to) engage in general discussions with your classmates regarding the assignment, but specific details of a solution, including the solution itself, must always be your own work. Incidents that violate the University's rules on integrity of scholarship will be taken seriously: In addition to receiving a zero (0) on the assignment, students may also face other penalties, up to and including, expulsion from the University. Should you have any doubt about the moral and/or ethical implications of an activity associated with the completion of this assignment, please see the instructors.

Code Documentation and General Requirements

Code for all programming assignments should be well documented. A working program with no comments will receive only partial credit. Documentation entails writing a description of each function/method, class/structure, as well as comments throughout the code to explain the program logic. Comments in OCaml are enclosed within (* *), and may be nested. It is understood that some of the exercises in this programming assignment require extremely little code and will not require extensive comments.

While few programming assignments pretend to mimic the "real" world, they may, nevertheless, contain some of the ambiguity that exists outside the classroom. If, for example, an assignment is amenable to differing interpretations, such that more than one algorithm may implement a correct solution to the assignment, it is incumbent upon the programmer to document not only the functionality of the algorithm (and more broadly his/her interpretation of the program requirements), but to articulate clearly the reasoning behind a particular choice of solution.

Assignment Overview

The overall objective of this assignment is for you to gain some hands-on experience with OCaml. All the problems require relatively little code ranging from 2 to 15 lines. If any function requires more than that, you can be sure that you need to rethink your solution. The assignment is in the files misc.ml, and test.ml that you need to download. The file contains several skeleton OCaml functions, with missing bodies, i.e. expressions, which currently contain the text failwith "to be written" . Your task is to replace the text in those files with the the appropriate OCaml code for each of those expressions.

Note: All the solutions can be done using the purely functional fragment of OCaml, using constructs covered in class, and most require the use of recursion. Solutions using imperative features such as references, while loops or library functions will receive no credit.

It is a good idea to start this assignment early; ML programming, while quite simple (when you know how), often seems somewhat foreign at first, particularly when it comes to recursion and list manipulation.

Assignment Testing and Evaluation

Your functions/programs must compile and/or run on a Linux ACS machine (e.g. ieng6.ucsd.edu , as this is where the verification of your solutions will occur. While you may develop your code on any system, ensure that your code runs as expected on an ACS machine prior to submission. You should test your code in the directories from which the zip files (see below) will be created, as this will approximate the environment used for grading the assignment.

Most of the points, except those for comments and style, will be awarded automatically, by evaluating your functions against a given test suite. The fourth file, test.ml contains a very small suite of tests which gives you a flavor of of these tests. At any stage, by typing at the UNIX shell :

ocaml test.ml > log
you will get a report on how your code stacks up against the simple tests.

The last line of the file log must contain the word "Compiled" otherwise you get a zero for the whole assignment. If for some problem, you cannot get the code to compile, leave it as is with the failwith ..., with your partial solution enclosed below as a comment. There will be no exceptions to this rule. The second last line of the log file will contain your overall score, and the other lines will give you a readout for each test. You are encouraged to try to understand the code in test.ml, and subsequently devise your own tests and add them to test.ml, but you will not be graded on this.

Alternately, inside the OCaml shell, type (user input is in red):

# #use "test.ml";;
- : int * int = (..., ...)
and it should return a pair of integers, reflecting your score and the max possible score on the sample tests. If instead an error message appears, your code will receive a zero.

Submission Instructions

1. Create the zip file for submission

Your solutions to this assignment will be stored in separate files under a directory called solution/, inside which you will place the files: misc.ml. There should be no other files in the directory.

After creating and populating the directory as described above, create a zip file called <LastName>_<FirstName>_cse130_pa1.zip by going into the directory solution and executing the UNIX shell command:

zip <LastName>_<FirstName>_cse130_pa1.zip *

2. Submit the zip file via the turnin program

Once you've created the zip file with your solutions, you will use the turnin program to submit this file for grading by going into the directory solution/ and executing the UNIX shell command:

turnin -c cs130w -p pa1 <LastName>_<FirstName>_pa1.zip

The turnin program will provide you with a confirmation of the submission process; make sure that the size of the file indicated by turnin matches the size of your tar file. See the ACS Web page on turnin for more information on the operation of the program.

Problem #1: Digital Roots and Additive Persistence (misc.ml)

(a) 10 points

Write an OCaml function digitsPos : int -> int list that takes an integer n as an argument and if the integer is positive, returns the list of digits of n in the order in which they appear in n . Once you have implemented the function, you should get the following behavior at the OCaml prompt:

# digitsPos 3124;;
- : int list = [3;1;2;4]
# digitsPos 352663;;
- : int list = [3;5;2;6;6;3]

(b) 10 points

Now write an OCaml function listAdd : int list -> int that takes an integer list l and returns the sum of the elements of l . Once you have implemented the function, you should get the following behavior at the OCaml prompt:

# listAdd [1;2;3;4];;
- : int = 10
# listAdd [1;-2;3;5];;
- : int = 7

(c) 10+10 points

Consider the process of taking a number, adding its digits, then adding the digits of the number derived from it, etc., until the remaining number has only one digit. The number of additions required to obtain a single digit from a number n is called the additive persistence of n, and the digit obtained is called the digital root of n. For example, the sequence obtained from the starting number 9876 is (9876, 30, 3), so 9876 has an additive persistence of 2 and a digital root of 3. Write two OCaml functions additivePersistence : int -> int and digitalRoot : int -> int that take integer arguments n and return respectively the additive persistence and the digital root of n . Once you have implemented the functions, you should get the following behavior at the OCaml prompt:

# additivePersistence 9876;;
- : int = 2
# digitalRoot 9876;;
- : int = 3

Problem #2: Palindromes (misc.ml)

(a) 15 points

Without using any built-in OCaml functions, write an OCaml function listReverse : 'a list -> 'a list that takes a list l as an argument and returns a list of the elements of l in the reversed order. Once you have implemented the function, you should get the following behavior at the OCaml prompt:

# listReverse [1;2;3;4];;
- : int list = [4;3;2;1]
# listReverse ["a";"b";"c";"d"];;
- : string list = ["d";"c";"b";"a"]

(b) 5 points

A palindrome is a word that reads the same from left-to-right and right-to-left. Write an OCaml function palindrome : string -> bool that takes a string w and returns true if the string is a palindrome and false otherwise. You may want to use the OCaml function explode . Once you have implemented the function, you should get the following behavior at the OCaml prompt:

# palindrome "malayalam";;
- : bool = true
# palindrome "myxomatosis";;
- : bool = false