Find the ideal HZ rate for the assumed data.

sched_hz_calc.py

import math
import decimal

### BEGIN USER TUNABLS ###
tolerance = 14              # max ms for scheduling
tasks = 8                   # avg tasks occurring at any instance
cores = 8                   # cores allowed to contain tasks
hz_min = 1                  # min hz allowed
hz_max = 2000               # max hz allowed
inc = 1                     # hz increment
exact = True                # only show exact decimals (rational)
### END USER TUNABLS ###

cycles = math.ceil(tasks / cores)   # number of cycles to schedule all tasks

# setup decimal api
if (exact):
    ctx = decimal.Context(prec=6, Emax=999, clamp=1, traps=[decimal.Inexact])
    decimal.setcontext(ctx)
    thousand = ctx.create_decimal(1000)

for hz in range(hz_min, hz_max + 1, inc):
    # ensure exact values (if enabled)
    if (exact):
        try:
           ms = cycles * thousand / ctx.create_decimal(str(hz))
        except decimal.Inexact:
            continue
    # otherwise don't worry about exactness
    else:
        ms = cycles * 1000 / hz

    # ensure ms doesn't exceed specified tolerance
    if (ms > tolerance):
        continue

    # print
    print("{}\thz\t-->\t{:0.4f}\tms".format(hz, ms))