Exploration of a proper gag formula

gagtalk.py

from random import randint

gag_skill = trials = successes = 0 # base starting values should be 0
SPEECH = 25 # character's speech skill.

loops = 50 # For testing purpose

def skill_mod():
    """
    Increase gag skill by a percentage value derivated from the player's speech skills.
    If base skill is 0, default it to 5 (could be customizable).
    Base skill will always be lowered to 100 if above that value.
    """
    global gag_skill, SPEECH

    if 0 < gag_skill < 100:
        gag_skill+= gag_skill*(SPEECH/100)
    elif gag_skill == 0:
        gag_skill = 5
    else:
        gag_skill = 100

def trial():
    """
    Compute the player's ability to challenge a talking event.
    
    The nature of this function will naturally increase the chances of success
    for each call.

    If the skill of the player is maxed, the chances of passing the trial
    naturally go down after each success, but by a slight margin and shouldn't
    get under 100.
    """
    global gag_skill, trials, successes, SPEECH, c

    result = (gag_skill + ( (trials+SPEECH) / (successes+SPEECH) * 100)) / 2
    print("Challenge: {:<6}| player ability: {:.2f}".format(c, result))
    trials+=1
    return result

def gagTalk(challenge):
    """
    Challenge is an integer between 1 and any other number.
    The challenge is added to a random integer taken from 0 and 100.
    The sum needs to be higher than the result of trial() to fail the task.
    """
    global successes, c

    c = (randint(0, 100) + challenge) /2
    if c > trial():
        return False
    successes+=1
    skill_mod()
    return True

data = [
    ["Gag skill:", gag_skill],
    ["Trials:", trials],
    ["Successes:", successes],
    ["Speech:", SPEECH]
]

print("Formula is: (gag_skill + ( (trials+SPEECH) / (successes+SPEECH) * 100)) / 2")
print("Generating test samples:\n")
print("Base values are:")
for d in data:
    print("{:<15}{}".format(*d, width=100))
print()
print("Starting {} loops at maximum challenge...".format(loops))

a=0
while a < loops:
    print("{:-<25}".format("Success!<")) if gagTalk(50) else print("{0:->25}".format(">Failure."))
    a+=1

print()

data = [
    ["Gag skill:", gag_skill],
    ["Trials:", trials],
    ["Successes:", successes],
    ["Speech:", SPEECH]
]
print("Modded values are:")
for d in data:
    print("{:<15}{:.2f}".format(*d, width=100))

sample_results.txt

50 loops with a gagTalk(50)

----
Formula is: (base_skill + ( (trials+SPEECH) / (successes+SPEECH) * 100)) / 2
Generating test samples:

Base values are:
Base skill:    0
Trials:        0
Successes:     0
Speech:        25

Starting 50 loops at maximum challenge...
Challenge: 55.5  | result percentage: 50.00
---------------->Failure.
Challenge: 40.0  | result percentage: 52.00
Success!<----------------
Challenge: 63.5  | result percentage: 54.42
---------------->Failure.
Challenge: 44.5  | result percentage: 56.35
Success!<----------------
Challenge: 65.0  | result percentage: 56.83
---------------->Failure.
Challenge: 25.5  | result percentage: 58.68
Success!<----------------
Challenge: 50.5  | result percentage: 59.26
Success!<----------------
Challenge: 63.0  | result percentage: 60.06
---------------->Failure.
Challenge: 71.0  | result percentage: 61.78
---------------->Failure.
Challenge: 54.0  | result percentage: 63.50
Success!<----------------
Challenge: 55.0  | result percentage: 64.44
Success!<----------------
Challenge: 63.0  | result percentage: 65.69
Success!<----------------
Challenge: 33.5  | result percentage: 67.35
Success!<----------------
Challenge: 27.5  | result percentage: 69.50
Success!<----------------
Challenge: 70.5  | result percentage: 72.25
Success!<----------------
Challenge: 52.0  | result percentage: 75.77
Success!<----------------
Challenge: 59.5  | result percentage: 80.23
Success!<----------------
Challenge: 44.5  | result percentage: 85.86
Success!<----------------
Challenge: 60.0  | result percentage: 92.96
Success!<----------------
Challenge: 25.5  | result percentage: 101.88
Success!<----------------
Challenge: 70.0  | result percentage: 113.09
Success!<----------------
Challenge: 74.0  | result percentage: 106.10
Success!<----------------
Challenge: 53.5  | result percentage: 105.95
Success!<----------------
Challenge: 54.5  | result percentage: 105.81
Success!<----------------
Challenge: 59.5  | result percentage: 105.68
Success!<----------------
Challenge: 42.5  | result percentage: 105.56
Success!<----------------
Challenge: 69.5  | result percentage: 105.43
Success!<----------------
Challenge: 57.5  | result percentage: 105.32
Success!<----------------
Challenge: 71.0  | result percentage: 105.21
Success!<----------------
Challenge: 27.5  | result percentage: 105.10
Success!<----------------
Challenge: 70.5  | result percentage: 105.00
Success!<----------------
Challenge: 55.0  | result percentage: 104.90
Success!<----------------
Challenge: 28.5  | result percentage: 104.81
Success!<----------------
Challenge: 43.0  | result percentage: 104.72
Success!<----------------
Challenge: 49.0  | result percentage: 104.63
Success!<----------------
Challenge: 64.5  | result percentage: 104.55
Success!<----------------
Challenge: 33.0  | result percentage: 104.46
Success!<----------------
Challenge: 58.5  | result percentage: 104.39
Success!<----------------
Challenge: 36.5  | result percentage: 104.31
Success!<----------------
Challenge: 39.5  | result percentage: 104.24
Success!<----------------
Challenge: 68.5  | result percentage: 104.17
Success!<----------------
Challenge: 41.5  | result percentage: 104.10
Success!<----------------
Challenge: 38.5  | result percentage: 104.03
Success!<----------------
Challenge: 26.0  | result percentage: 103.97
Success!<----------------
Challenge: 46.5  | result percentage: 103.91
Success!<----------------
Challenge: 34.5  | result percentage: 103.85
Success!<----------------
Challenge: 49.5  | result percentage: 103.79
Success!<----------------
Challenge: 58.5  | result percentage: 103.73
Success!<----------------
Challenge: 45.5  | result percentage: 103.68
Success!<----------------
Challenge: 28.0  | result percentage: 103.62
Success!<----------------

Modded values are:
Base skill:    100.00
Trials:        50.00
Successes:     45.00
Speech:        25.00