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hog.py
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"""The Game of Hog."""
from dice import four_sided, six_sided, make_test_dice
from ucb import main, trace, log_current_line, interact
GOAL_SCORE = 100 # The goal of Hog is to score 100 points.
######################
# Phase 1: Simulator #
######################
def roll_dice(num_rolls, dice=six_sided):
"""Roll DICE for NUM_ROLLS times. Return either the sum of the outcomes,
or 1 if a 1 is rolled (Pig out). This calls DICE exactly NUM_ROLLS times.
num_rolls: The number of dice rolls that will be made; at least 1.
dice: A zero-argument function that returns an integer outcome.
"""
# These assert statements ensure that num_rolls is a positive integer.
assert type(num_rolls) == int, 'num_rolls must be an integer.'
assert num_rolls > 0, 'Must roll at least once.'
"*** YOUR CODE HERE ***"
i, total, pigout = 0, 0, False
while i < num_rolls:
k = dice()
if k == 1:
pigout = True
else:
total = k + total
i = i + 1
return (pigout and 1) or total
roll1 = roll_dice(1)
roll2 = roll_dice(2)
roll3 = droll_dice(5)
# wrong implementations and studies
""" k = 0
while k < num_rolls:
return dice """
# the below is correct but i dont like the use of "sum" for var name
""" i, sum, pigout = 0, 0, False
while i < num_rolls:
k = dice()
if k == 1:
pigout = True
else:
sum += k
i += 1
return (pigout and 1) or sum"""
# missing total the function cant work properly
""" i, pigout = 0, False
while i < num_rolls:
k = dice()
if k == 1:
pigout = True
else:
k = k + 1
i = i + 1
return (pigout and 1) or k"""
""" This works
from random import seed
from random import random
def test(num_rolls):
i, pigout = 0, False
while i < num_rolls:
k = random()
if k == 1:
pigout = True
else:
k = k + 1
i = i + 1
return (pigout and 1) or k
test1 = test(1)
test2 = test(2)
test5 = test(5)
**
Try
def dice_roll(num_rolls):
i, pigout = 0, False
while i < num_rolls:
k = dice()
if k == 1:
pigout = True
else:
k = k + 1
i = i + 1
return (pigout and 1) or k
roll1 = dice_roll(1)
roll2 = test(2)
roll3 = test(5)
"""
# https://www.reddit.com/r/learnprogramming/comments/9chon4/help_me_understand_this_higher_order_function/
"""def take_turn(num_rolls, opponent_score, dice=six_sided):
Simulate a turn rolling NUM_ROLLS dice, which may be 0 (Free bacon).
num_rolls: The number of dice rolls that will be made.
opponent_score: The total score of the opponent.
dice: A function of no args that returns an integer outcome.
assert type(num_rolls) == int, 'num_rolls must be an integer.'
assert num_rolls >= 0, 'Cannot roll a negative number of dice.'
assert num_rolls <= 10, 'Cannot roll more than 10 dice.'
assert opponent_score < 100, 'The game should be over.'
"*** YOUR CODE HERE ***"
i, player_score, freebacon = 0, 0, False
opponent_digits = [int(x) for x in str(opponent_score)]
while num_rolls >= i:
if num_rolls == 0:
freebacon == True
player_score = 1 + max(opponent_digits)
else:
player score = player_score + roll_dice(num_rolls)
i = i + 1
return player_score"""
def take_turn(num_rolls, opponent_score, dice=six_sided):
assert type(num_rolls) == int, 'num_rolls must be an integer.'
assert num_rolls >= 0, 'Cannot roll a negative number of dice.'
assert num_rolls <= 10, 'Cannot roll more than 10 dice.'
assert opponent_score < 100, 'The game should be over.'
i, player_score, freebacon = 0, 0, False
opponent_digits = [int(x) for x in str(opponent_score)]
while num_rolls >= i:
if num_rolls == 0:
freebacon = True
print("Freebacon!")
player_score = 1 + max(opponent_digits)
else:
player_score = player_score + roll_dice(num_rolls)
i = i + 1
return player_score
turn1 = take_turn(0, 21)
turn2 = take_turn(2, 13)
""" Free bacon. A player who chooses to roll zero dice scores one more than
the largest digit in the opponent's score.
Examples: if Player 1 has 42 points,
Player 0 gains 1 + max(4, 2) = 5 points by rolling zero dice.
If Player 1 has 48 points, Player 0 gains 1 + max(4, 8) = 9 points."""
""" f you want to change your number into a list of those numbers,
I would first cast it to a string, then casting it to a list will naturally
break on each character:
[int(x) for x in str(n)]"""
# tries
""" i, player_score, freebacon = 0, 0, False
opponent_digits = [int(x) for x in str(opponent_score)]
while num_rolls >= i:
if num_rolls == 0:
freebacon == True
player_score = 1 + max(opponent_digits)
else:
roll_dice()
player_score = roll_dice() + total
i = i + 1
return player_score """
# alternative
"""
def take_turn(num_rolls, opponent_score, dice=six_sided):
assert type(num_rolls) == int, 'num_rolls must be an integer.'
assert num_rolls >= 0, 'Cannot roll a negative number of dice.'
assert num_rolls <= 10, 'Cannot roll more than 10 dice.'
assert opponent_score < 100, 'The game should be over.'
i, player_score, freebacon = 0, 0, False
opponent_digits = [int(x) for x in str(opponent_score)]
while num_rolls >= i:
if num_rolls == 0:
freebacon = True
print("Freebacon!")
player_score = 1 + max(opponent_digits)
return player_score
else:
player_score = player_score + roll_dice(num_rolls)
i = i + 1
return player_score"""
def select_dice(score, opponent_score):
"""Select six-sided dice unless the sum of SCORE and OPPONENT_SCORE is a
multiple of 7, in which case select four-sided dice (Hog wild).
"""
"*** YOUR CODE HERE ***"
def is_prime(n):
"""Return True if a non-negative number N is prime, otherwise return
False. 1 is not a prime number!
"""
assert type(n) == int, 'n must be an integer.'
assert n >= 0, 'n must be non-negative.'
k = 1
while k < n:
if n % k == 0:
return False
return True
def other(who):
"""Return the other player, for a player WHO numbered 0 or 1.
>>> other(0)
1
>>> other(1)
0
"""
return 1 - who
def play(strategy0, strategy1, score0=0, score1=0, goal=GOAL_SCORE):
"""Simulate a game and return the final scores of both players, with
Player 0's score first, and Player 1's score second.
A strategy is a function that takes two total scores as arguments
(the current player's score, and the opponent's score), and returns a
number of dice that the current player will roll this turn.
strategy0: The strategy function for Player 0, who plays first
strategy1: The strategy function for Player 1, who plays second
score0 : The starting score for Player 0
score1 : The starting score for Player 1
"""
who = 0 # Which player is about to take a turn, 0 (first) or 1 (second)
"*** YOUR CODE HERE ***"
return score0, score1 # You may want to change this line.
#######################
# Phase 2: Strategies #
#######################
def always_roll(n):
"""Return a strategy that always rolls N dice.
A strategy is a function that takes two total scores as arguments
(the current player's score, and the opponent's score), and returns a
number of dice that the current player will roll this turn.
>>> strategy = always_roll(5)
>>> strategy(0, 0)
5
>>> strategy(99, 99)
5
"""
def strategy(score, opponent_score):
return n
return strategy
# Experiments
def make_averaged(fn, num_samples=1000):
"""Return a function that returns the average_value of FN when called.
To implement this function, you will have to use *args syntax, a new Python
feature introduced in this project. See the project description.
>>> dice = make_test_dice(3, 1, 5, 6)
>>> averaged_dice = make_averaged(dice, 1000)
>>> averaged_dice()
3.75
>>> make_averaged(roll_dice, 1000)(2, dice)
6.0
In this last example, two different turn scenarios are averaged.
- In the first, the player rolls a 3 then a 1, receiving a score of 1.
- In the other, the player rolls a 5 and 6, scoring 11.
Thus, the average value is 6.0.
"""
"*** YOUR CODE HERE ***"
def max_scoring_num_rolls(dice=six_sided):
"""Return the number of dice (1 to 10) that gives the highest average turn
score by calling roll_dice with the provided DICE. Assume that dice always
return positive outcomes.
>>> dice = make_test_dice(3)
>>> max_scoring_num_rolls(dice)
10
"""
"*** YOUR CODE HERE ***"
def winner(strategy0, strategy1):
"""Return 0 if strategy0 wins against strategy1, and 1 otherwise."""
score0, score1 = play(strategy0, strategy1)
if score0 > score1:
return 0
else:
return 1
def average_win_rate(strategy, baseline=always_roll(5)):
"""Return the average win rate (0 to 1) of STRATEGY against BASELINE."""
win_rate_as_player_0 = 1 - make_averaged(winner)(strategy, baseline)
win_rate_as_player_1 = make_averaged(winner)(baseline, strategy)
return (win_rate_as_player_0 + win_rate_as_player_1) / 2 # Average results
def run_experiments():
"""Run a series of strategy experiments and report results."""
if True: # Change to False when done finding max_scoring_num_rolls
six_sided_max = max_scoring_num_rolls(six_sided)
print('Max scoring num rolls for six-sided dice:', six_sided_max)
four_sided_max = max_scoring_num_rolls(four_sided)
print('Max scoring num rolls for four-sided dice:', four_sided_max)
if False: # Change to True to test always_roll(8)
print('always_roll(8) win rate:', average_win_rate(always_roll(8)))
if False: # Change to True to test bacon_strategy
print('bacon_strategy win rate:', average_win_rate(bacon_strategy))
if False: # Change to True to test prime_strategy
print('prime_strategy win rate:', average_win_rate(prime_strategy))
if False: # Change to True to test final_strategy
print('final_strategy win rate:', average_win_rate(final_strategy))
"*** You may add additional experiments as you wish ***"
# Strategies
def bacon_strategy(score, opponent_score, margin=8, num_rolls=5):
"""This strategy rolls 0 dice if that gives at least MARGIN points,
and rolls NUM_ROLLS otherwise.
"""
"*** YOUR CODE HERE ***"
return None # Replace this statement
def prime_strategy(score, opponent_score, margin=8, num_rolls=5):
"""This strategy rolls 0 dice when it results in a beneficial boost and
rolls NUM_ROLLS if rolling 0 dice gives the opponent a boost. It also
rolls 0 dice if that gives at least MARGIN points and rolls NUM_ROLLS
otherwise.
"""
"*** YOUR CODE HERE ***"
return None # Replace this statement
def final_strategy(score, opponent_score):
"""Write a brief description of your final strategy.
*** YOUR DESCRIPTION HERE ***
"""
"*** YOUR CODE HERE ***"
return 5 # Replace this statement
##########################
# Command Line Interface #
##########################
# Note: Functions in this section do not need to be changed. They use features
# of Python not yet covered in the course.
@main
def run(*args):
"""Read in the command-line argument and calls corresponding functions.
This function uses Python syntax/techniques not yet covered in this course.
"""
import argparse
parser = argparse.ArgumentParser(description="Play Hog")
parser.add_argument('--run_experiments', '-r', action='store_true',
help='Runs strategy experiments')
args = parser.parse_args()
if args.run_experiments:
run_experiments()