This is the only file you submit.
Replace every
"*** YOUR CODE HERE ***" line with your implementation.
Do not modify any other file.
"""The Game of Hog."""
#Fill in your email address and that of your partner
partner_one_email = ""
partner_two_email = ""
assignment = "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 #
######################
# Taking turns
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.'
# BEGIN Question 1
"*** REPLACE THIS LINE ***"
# END Question 1
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 ***"
# Playing a game
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).
>>> select_dice(4, 24) == four_sided
True
>>> select_dice(16, 64) == six_sided
True
>>> select_dice(0, 0) == four_sided
True
"""
"*** YOUR CODE HERE ***"
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, 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.
"""
who = 0 # Which player is about to take a turn, 0 (first) or 1 (second)
score, opponent_score = 0, 0
"*** YOUR CODE HERE ***"
return score, opponent_score # You may wish to change this line.
#######################
# Phase 2: Strategies #
#######################
# Basic Strategy
BASELINE_NUM_ROLLS = 5
BACON_MARGIN = 8
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. Print all averages as in
the doctest below. Assume that dice always returns positive outcomes.
>>> dice = make_test_dice(3)
>>> max_scoring_num_rolls(dice)
1 dice scores 3.0 on average
2 dice scores 6.0 on average
3 dice scores 9.0 on average
4 dice scores 12.0 on average
5 dice scores 15.0 on average
6 dice scores 18.0 on average
7 dice scores 21.0 on average
8 dice scores 24.0 on average
9 dice scores 27.0 on average
10 dice scores 30.0 on average
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(BASELINE_NUM_ROLLS)):
"""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 swap_strategy
print('swap_strategy win rate:', average_win_rate(swap_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):
"""This strategy rolls 0 dice if that gives at least BACON_MARGIN points,
and rolls BASELINE_NUM_ROLLS otherwise.
>>> bacon_strategy(0, 0)
5
>>> bacon_strategy(70, 50)
5
>>> bacon_strategy(50, 70)
0
"""
"*** YOUR CODE HERE ***"
return 5 # Replace this statement
def swap_strategy(score, opponent_score):
"""This strategy rolls 0 dice when it would result in a beneficial swap and
rolls BASELINE_NUM_ROLLS if it would result in a harmful swap. It also rolls
0 dice if that gives at least BACON_MARGIN points and rolls
BASELINE_NUM_ROLLS otherwise.
>>> swap_strategy(23, 60) # 23 + (1 + max(6, 0)) = 30: Beneficial swap
0
>>> swap_strategy(27, 18) # 27 + (1 + max(1, 8)) = 36: Harmful swap
5
>>> swap_strategy(50, 80) # (1 + max(8, 0)) = 9: Lots of free bacon
0
>>> swap_strategy(12, 12) # Baseline
5
"""
"*** YOUR CODE HERE ***"
return 5 # 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.
def get_int(prompt, min):
"""Return an integer greater than or equal to MIN, given by the user."""
choice = input(prompt)
while not choice.isnumeric() or int(choice) < min:
print('Please enter an integer greater than or equal to', min)
choice = input(prompt)
return int(choice)
def interactive_dice():
"""A dice where the outcomes are provided by the user."""
return get_int('Result of dice roll: ', 1)
def make_interactive_strategy(player):
"""Return a strategy for which the user provides the number of rolls."""
prompt = 'Number of rolls for Player {0}: '.format(player)
def interactive_strategy(score, opp_score):
if player == 1:
score, opp_score = opp_score, score
print(score, 'vs.', opp_score)
choice = get_int(prompt, 0)
return choice
return interactive_strategy
def roll_dice_interactive():
"""Interactively call roll_dice."""
num_rolls = get_int('Number of rolls: ', 1)
turn_total = roll_dice(num_rolls, interactive_dice)
print('Turn total:', turn_total)
def take_turn_interactive():
"""Interactively call take_turn."""
num_rolls = get_int('Number of rolls: ', 0)
opp_score = get_int('Opponent score: ', 0)
turn_total = take_turn(num_rolls, opp_score, interactive_dice)
print('Turn total:', turn_total)
def play_interactive():
"""Interactively call play."""
strategy0 = make_interactive_strategy(0)
strategy1 = make_interactive_strategy(1)
score0, score1 = play(strategy0, strategy1)
print('Final scores:', score0, 'to', score1)
@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('--interactive', '-i', type=str,
help='Run interactive tests for the specified question')
parser.add_argument('--run_experiments', '-r', action='store_true',
help='Runs strategy experiments')
args = parser.parse_args()
if args.interactive:
test = args.interactive + '_interactive'
if test not in globals():
print('To use the -i option, please choose one of these:')
print('\troll_dice', '\ttake_turn', '\tplay', sep='\n')
exit(1)
try:
globals()[test]()
except (KeyboardInterrupt, EOFError):
print('\nQuitting interactive test')
exit(0)
elif args.run_experiments:
run_experiments()