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15-213/18-243, Fall 2010Lab Assignment L1: Manipulating BitsAssigned: Aug. 24, Due: Tuesday, Sept. 7, 11:59PMLast Possible Time to Turn in: Friday, Sept. 10, 11:59PMImportant: There is a lot of information in this handout. Be sure to study it carefully, and to reread it whenyou have questions before asking for help from one of the course staff.Please contact the 15-213 staff list ([email protected]) for questions about assignment.1 IntroductionThe purpose of this assignment is to become more familiar with bit-level representations of common pat-terns, integers, and floating-point numbers. You’ll do this by solving a series of programming “puzzles.”Many of these puzzles are quite artificial, but you’ll find yourself thinking much more about bits in workingyour way through them.1.1 LogisticsThis is an individual project. All handins are electronic. Clarifications and corrections will be posted on theAutolab message board.1.2 Logging in to AutolabAll 15-213 labs are being offered this term through a Web service developed by Hunter Pitelka and Prof. DavidO’Hallaron called Autolab. Before you can download your lab materials, you will need to update your Au-tolab account. Point your browser at the Autolab front pagehttp://autolab.cs.cmu.eduYou will be asked to authenticate via WebISO. After you authenticate this first time, Autolab will prompt youto update your account information with a “nickname.” Your nickname is the external name that identifiesyou on the public scoreboards that Autolab maintains for each assignment, so pick something interesting!1You can change your nickname as often as you like. Once you have updated your account information, clickon “Edit”, and then select the “Home” link to proceed to the main Autolab page.If you added the class late, you might not be included in Autolab’s list of valid students. In this case youwon’t see the 15-213/18-243 course listed on your Autolab home page. If this happens, just send email tothe staff mailing list ([email protected]) requesting an Autolab account, and we will add you to thelist.1.3 Obtaining your Lab MaterialsYour lab materials are contained in a Unix tar file called datalab-handout.tar, which you can down-load from Autolab. After logging in to Autolab athttp://autolab.cs.cmu.eduyou can retrieve the datalab-handout.tarfile by selecting “Datalab -¿ Download Lab Materials” andthen hitting the “Save File” button.Start by copying datalab-handout.tar to a directory in which you plan to do your work. Then givethe command “tar xvf datalab-handout.tar”. This will create a directory called datalab-handoutthat contains a number of files. The only file you will be modifying and handing in is bits.c.WARNING: Do not let the Windows WinZip program open up your .tar file (many Web browsers are setto do this automatically). Instead, save the file to your AFS directory and use the Linux tar program toextract the files. In general, for this class you should NEVER use any platform other than Linux to modifyyour files, doing so can cause loss of data (and important work!).The file btest.c contains code that performs a simple, non-exhaustive check of the functional correctnessof your code. The file README contains additional documentation about BTEST. Use the command maketo generate the test code and run it with the command ./btest.The included program DLC can be used to check your solutions for compliance with the coding rules. Theincluded programs ISHOW and FSHOW can be used to help examine the bit representations of integer andfloating point numbers.The files in the subdirectory bddcheck implement the BDD checker, a tool that formally verifies yourcode.The file driver.pl is the main driver program that uses DLC and the BDD checker to check your bits.cfor correctness, grades your submission, and optionally streams the results to the Autolab server for inclu-sion on the Autolab scoreboard. You can run the driver as often as like you to check your work.The remaining files are used to build the program BTEST.1.4 Your AssignmentThe bits.c file contains a skeleton for each of the 13 programming puzzles. Your assignment is to com-plete each function skeleton according to a strict set of programming rules, intended to help you understandhow values are represented at the bit-level and how to manipulate bit patterns using standard C operations.22 EvaluationYour code will be compiled with GCC and exhaustively tested with the BDD checker. Your score will becomputed out of a maximum of 66 points based on the following distribution:35 Correctness of code.26 Performance of code, based on number of operators used in each function.5 Style points, based on your instructor’s subjective evaluation of the quality of your solutions and yourcomments.The 13 puzzles you must solve have been given a difficulty rating between 1 and 4, such that their weightedsum totals to 35.The code in BTEST simply tests your functions for a number of different cases. For most functions, the num-ber of possible argument combinations far exceeds what could be tested exhaustively. To provide completecoverage, we have created an experimental formal verification program, CBIT that, in effect, tests your func-tions for all possible combinations of arguments. It does this by viewing each bit of the function result asa Boolean function of the bits comprising the function arguments. It uses a data structure known as BinaryDecision Diagrams (BDDs) (R. E. Bryant, IEEE Transactions on Computers, August, 1986) to representthese Boolean functions in a way such that the program can efficiently compare the results of your functionswith those of a set of reference solutions. If the bit-level functions match, then the two C functions computeidentical results. Otherwise, CBIT can generate a counterexample, i.e., a set of function arguments whereyour function will produce a different result than the reference solution.You do not invoke CBIT directly. Instead, there is a series of Perl scripts that set up and evaluate the calls toit. Executeunix> ./bddcheck/check.pl -f funto check function fun. Executeunix> ./bddcheck/check.plto check all of your functions.Note: The Perl scripts are a bit picky about the formatting of your code. They expect the function to openwith a line of the form:int fun (...)orunsigned fun (...)3and to end with a single right brace in the leftmost column. That should be the only right brace in theleftmost column of your


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