Exercise

This program, lottery.py, allows you to see how a lottery scheduler
works. As always, there are two steps to running the program. First, run
without the -c flag: this shows you what problem to solve without
revealing the answers. 

prompt> ./lottery.py -j 2 -s 0
...
Here is the job list, with the run time of each job: 
  Job 0 ( length = 8, tickets = 75 )
  Job 1 ( length = 4, tickets = 25 )

Here is the set of random numbers you will need (at most):
Random 511275
Random 404934
Random 783799
Random 303313
Random 476597
Random 583382
Random 908113
Random 504687
Random 281838
Random 755804
Random 618369
Random 250506
]

When you run the simulator in this manner, it first assigns you some random
jobs (here of lengths 8, and 4), each with some number of tickets (here 75 and
25, respectively). The simulator also gives you a list of random numbers,
which you will need to determine what the lottery scheduler will do. The
random numbers are chosen to be between 0 and a large number; thus, you'll
have to use the modulo operator to compute the lottery winner (i.e., winner
should equal this random number modulo the total number of tickets in the
system). 

Running with -c shows exactly what you are supposed to calculate:

prompt> ./lottery.py -j 2 -s 0 -c
...
** Solutions **
Random 511275 -> Winning ticket 75 (of 100) -> Run 1
  Jobs:  (  job:0 timeleft:8 tix:75 ) (* job:1 timeleft:4 tix:25 )
Random 404934 -> Winning ticket 34 (of 100) -> Run 0
  Jobs:  (* job:0 timeleft:8 tix:75 ) (  job:1 timeleft:3 tix:25 )
Random 783799 -> Winning ticket 99 (of 100) -> Run 1
  Jobs:  (  job:0 timeleft:7 tix:75 ) (* job:1 timeleft:3 tix:25 )
Random 303313 -> Winning ticket 13 (of 100) -> Run 0
  Jobs:  (* job:0 timeleft:7 tix:75 ) (  job:1 timeleft:2 tix:25 )
Random 476597 -> Winning ticket 97 (of 100) -> Run 1
  Jobs:  (  job:0 timeleft:6 tix:75 ) (* job:1 timeleft:2 tix:25 )
Random 583382 -> Winning ticket 82 (of 100) -> Run 1
  Jobs:  (  job:0 timeleft:6 tix:75 ) (* job:1 timeleft:1 tix:25 )
--> JOB 1 DONE at time 6
Random 908113 -> Winning ticket 13 (of 75) -> Run 0
  Jobs:  (* job:0 timeleft:6 tix:75 ) (  job:1 timeleft:0 tix:--- )
Random 504687 -> Winning ticket 12 (of 75) -> Run 0
  Jobs:  (* job:0 timeleft:5 tix:75 ) (  job:1 timeleft:0 tix:--- )
Random 281838 -> Winning ticket 63 (of 75) -> Run 0
  Jobs:  (* job:0 timeleft:4 tix:75 ) (  job:1 timeleft:0 tix:--- )
Random 755804 -> Winning ticket 29 (of 75) -> Run 0
  Jobs:  (* job:0 timeleft:3 tix:75 ) (  job:1 timeleft:0 tix:--- )
Random 618369 -> Winning ticket 69 (of 75) -> Run 0
  Jobs:  (* job:0 timeleft:2 tix:75 ) (  job:1 timeleft:0 tix:--- )
Random 250506 -> Winning ticket 6 (of 75) -> Run 0
  Jobs:  (* job:0 timeleft:1 tix:75 ) (  job:1 timeleft:0 tix:--- )
--> JOB 0 DONE at time 12
]

As you can see from this trace, what you are supposed to do is use the random
number to figure out which ticket is the winner. Then, given the winning
ticket, figure out which job should run. Repeat this until all of the jobs are
finished running. It's as simple as that -- you are just emulating what the
lottery scheduler does, but by hand!

Just to make this absolutely clear, let's look at the first decision made in
the example above. At this point, we have two jobs (job 0 which has a runtime
of 8 and 75 tickets, and job 1 which has a runtime of 4 and 25 tickets). The
first random number we are given is 511275. As there are 100 tickets in the
system, 511275 \% 100 is 75, and thus 75 is our winning ticket.

If ticket 75 is the winner, we simply search through the job list until we
find it. The first entry, for job 0, has 75 tickets (0 through 74), and thus
does not win; the next entry is for job 1, and thus we have found our winner,
so we run job 1 for the quantum length (1 in this example). All of this is
shown in the print out as follows:

Random 511275 -> Winning ticket 75 (of 100) -> Run 1
  Jobs:  (  job:0 timeleft:8 tix:75 ) (* job:1 timeleft:4 tix:25 )
]

As you can see, the first line summarizes what happens, and the second simply
shows the entire job queue, with an * denoting which job was chosen.

The simulator has a few other options, most of which should be
self-explanatory. Most notably, the -l/--jlist flag can be used to specify an
exact set of jobs and their ticket values, instead of always using
randomly-generated job lists.

prompt> ./lottery.py -h
Usage: lottery.py [options]

Options:
  -h, --help            
      show this help message and exit
  -s SEED, --seed=SEED  
      the random seed
  -j JOBS, --jobs=JOBS  
      number of jobs in the system
  -l JLIST, --jlist=JLIST
      instead of random jobs, provide a comma-separated list
      of run times and ticket values (e.g., 10:100,20:100
      would have two jobs with run-times of 10 and 20, each
      with 100 tickets)
  -m MAXLEN, --maxlen=MAXLEN
      max length of job
  -T MAXTICKET, --maxtick=MAXTICKET
      maximum ticket value, if randomly assigned
  -q QUANTUM, --quantum=QUANTUM
      length of time slice
  -c, --compute
      compute answers for me