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haas:spring2025:comporg:projects:pnc0

Corning Community College

CSCS2650 Computer Organization

PROJECT: Prime Number Computation (PNC0)

OBJECTIVE

Start exploring algorithm/implementation comparison and optimization with respect to various approaches of computing prime numbers.

TASK

Implement two separate, independent programs, one in Vircon32 C, and other in Vircon32 assembly, that:

  • performs a brute force/“trial-by-division” process on a range of values, 2-N
    • the values for N are some sufficient quantity still small enough to fit within an integer
    • the values for N will have some relationship (powers of 2, powers of 10/magnitudes) that ideally can be computed via some loop/equation (ie 1024, 2048, 4098, 8192, 16384, etc.)
    • the values for N have some sufficient quantity large enough where its upper set values will take some amount of time to compute (fast enough to have some relatable value, not to exceed 16 seconds)
    • for each value of N:

* display that N/upper bound

  • tally: display the number of primes identified (2-N)
  • display the amount of time taken to do the total computation for that value of N, out to 3 decimal places
  • display each N value and result in an arrangement on the screen that can be clearly identified and read by the viewer
  • timing should go out, as reasonable, to a few decimal places, and should be consistent across all attempts.
  • timing is on the computational process only, not the display of results.
  • create a graph (using some external tool) that plots the performance of the C and assembly implementations working on identical workloads of this brute force algorithm according to the various N's and the time it took. Share your graph of your results on the class discord and on the project documentation page.
  • a line graph is the suggested best candidate
  • the assembly version is to be done entirely by hand, and make zero use of C API functions. Just the usual in/out stuff we've been doing.
  • this will not be an interactive program: it starts up, does its thing, outputs it results, then halts.
  • this brute force implementation is meant as our baseline. As such, it should not contain any optimizations or attempted improvements. As we progress through pnc1 and pnc2, this base implementation should be the least efficient. This is important, to allow us to realize the impact of various improvements we will be making in those upcoming projects.

REFERENCE

The following are reference screenshots of what your implementations should approximate.

PNC0

C implementation

EDIT

You will want to go here to edit and fill in the various sections of the document:

PNCX

algorithm: brute force / trial-by-division

variant: naive

The naive implementation is our baseline: implement with no awareness of potential tweaks, improvements, or optimizations. This should be the worst performing when compared to any optimization.

START TIMEKEEPING
NUMBER: FROM 2 THROUGH UPPERBOUND:
    ISPRIME <- YES
    FACTOR: FROM 2 THROUGH NUMBER-1:
        SHOULD FACTOR DIVIDE EVENLY INTO NUMBER:
            ISPRIME <- NO
    PROCEED TO NEXT FACTOR
    SHOULD ISPRIME STILL BE YES:
        INCREMENT OUR PRIME TALLY
PROCEED TO NEXT NUMBER
STOP TIMEKEEPING
Future Proofing
Printing Seconds

The amount of runtime a method takes can be measure in both cycle count and frame count. Since the cycle count resets every frame, frame count is needed for any time over 1/60th of a second

The Frame count can be added onto the cycle count to find a total time count. To do this the frame count needs to be multiplied by the number of cycles in a frame

Printing out the time can be separated into the whole portion and the fractional portion

The whole and fractional part can be found by dividing the cycle count by the amount of cycles in a unit of time (seconds for whole, milliseconds for fractional)

ADD FRAME TIME TO CYCLE TIME
DIVIDE THE CYCLE TIME BY THE CYCLES PER SECOND
PRINT THE WHOLE PORTION

MODULATE THE CYCLE TIME BY THE CYCLES PER SECOND
DIVIDE THE CYCLE TIME BY THE CYCLES PER MILLISECOND
   ADD ZEROS TO THE LEFT UNTIL STRING IS THE CORRECT LENGTH
PRINT THE FRACTIONAL PORTION
variant: break on composite (BOC)
variant: odds-only processing
variant: sqrt point
How to Sqrt
variant: break+odds
variant: break+sqrt
variant: break+odds+sqrt

ALGORITHM: sieve of eratosthenes

variant: baseline soe
START TIMEKEEPING
NUMBER: FROM 2 THROUGH UPPERBOUND:
    SHOULD THE NUMBER SLOT BE TRUE:
        VALUE AT NUMBER IS PRIME, INCREMENT TALLY
        MULTIPLE: FROM NUMBER+NUMBER THROUGH UPPERBOUND:
            VALUE AT MULTIPLE IS NOT PRIME
            MULTIPLE IS MULTIPLE PLUS NUMBER
        PROCEED TO NEXT MULTIPLE
    INCREMENT NUMBER
PROCEED TO NEXT NUMBER
STOP TIMEKEEPING
variant: sieve of eratosthenes with sqrt trick (soes)
START TIMEKEEPING
NUMBER: FROM 2 THROUGH NUMBER*NUMBER<UPPERBOUND:
    SHOULD THE NUMBER SLOT BE TRUE:
        VALUE AT NUMBER IS PRIME, INCREMENT TALLY
        MULTIPLE: FROM NUMBER*NUMBER THROUGH UPPERBOUND:
            VALUE AT MULTIPLE IS NOT PRIME
            MULTIPLE IS MULTIPLE PLUS NUMBER
        PROCEED TO NEXT MULTIPLE
    INCREMENT NUMBER
PROCEED TO NEXT NUMBER
STOP TIMEKEEPING

timing

Array in ASM

wedge pnc1 runtimes

Darkmoon pnc0 runtimes

Darkmoon pnc1 runtimes

Darkmoon pnc2 runtimes

TommyK pnc0 runtimes

TommyK pnc1 runtimes

TommyK pnc2 runtimes

BrandonD pnc0 runtimes

BrandonD pnc1 runtimes

BrandonD pnc2 runtimes

 

SUBMISSION

To be successful in this project, the following criteria (or their equivalent) must be met:

  • Project must be submit on time, by the deadline.
    • Late submissions will lose 33% credit per day, with the submission window closing on the 3rd day following the deadline.
  • Executed programs must display in a manner similar to provided output
    • output formatted, where applicable, must match that of project requirements
  • Processing must be correct based on input given and output requested
  • Output, if applicable, must be correct based on values input
  • Code must be nicely and consistently indented
  • Code must be consistently written, to strive for readability from having a consistent style throughout
  • Code must be commented
    • Any “to be implemented” comments MUST be removed
      • these “to be implemented” comments, if still present at evaluation time, will result in points being deducted.
      • Sufficient comments explaining the point of provided logic MUST be present
  • No global variables (without instructor approval), no goto statements, no calling of main()!
  • Track/version the source code in your lab46 semester repository
  • Submit a copy of your source code to me using the submit tool by the deadline.

Submit Tool Usage

Let's say you have completed work on the project, and are ready to submit, you would do the following:

lab46:~/src/SEMESTER/DESIG/PROJECT$ submit DESIG PROJECT file1 file2 file3 ... fileN

You should get some sort of confirmation indicating successful submission if all went according to plan. If not, check for typos and or locational mismatches.

RUBRIC

I'll be evaluating the project based on the following criteria:

260:pnc0:final tally of results (260/260)
*:pnc0:submitted C and assembly implementations [26/26]
*:pnc0:each implementation builds cleanly [26/26]
*:pnc0:output conforms to specifications [52/52]
*:pnc0:processing is correct, and to specifications [52/52]
*:pnc0:no optimizations or improvements on the process [26/26]
*:pnc0:graph produced from timing data produced [26/26]
*:pnc0:graph posted to discord and documentation page [26/26]
*:pnc0:timing data is taken out to at least 3 decimal places [26/26]

Pertaining to the collaborative authoring of project documentation

  • each class member is to participate in the contribution of relevant information and formatting of the documentation
    • minimal member contributions consist of:
      • near the class average edits (a value of at least four productive edits)
      • near the average class content change average (a value of at least 1024 bytes (absolute value of data content change))
      • no zero-sum commits (adding in one commit then later removing in its entirety for the sake of satisfying edit requirements)
    • adding and formatting data in an organized fashion, aiming to create an informative and readable document that anyone in the class can reference
    • content contributions will be factored into a documentation coefficient, a value multiplied against your actual project submission to influence the end result:
      • no contributions, co-efficient is 0.50
      • less than minimum contributions is 0.75
      • met minimum contribution threshold is 1.00

Additionally

  • Solutions not abiding by spirit of project will be subject to a 50% overall deduction
  • Solutions not utilizing descriptive why and how comments will be subject to a 25% overall deduction
  • Solutions not utilizing indentation to promote scope and clarity or otherwise maintaining consistency in code style and presentation will be subject to a 25% overall deduction
  • Solutions not organized and easy to read (assume a terminal at least 90 characters wide, 40 characters tall) are subject to a 25% overall deduction
  • Individuals who have not participated at least 50% will be subject to a 50% overall deduction.
haas/spring2025/comporg/projects/pnc0.txt · Last modified: 2025/03/24 21:24 by 127.0.0.1