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hog.py
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"""CS 61A Presents The Game of Hog."""
from dice import six_sided, four_sided, make_test_dice
from ucb import main, trace, interact
GOAL_SCORE = 100 # The goal of Hog is to score 100 points.
######################
# Phase 1: Simulator #
######################
def roll_dice(num_rolls, dice=six_sided):
"""Simulate rolling the DICE exactly NUM_ROLLS > 0 times. Return the sum of
the outcomes unless any of the outcomes is 1. In that case, return 1.
num_rolls: The number of dice rolls that will be made.
dice: A function that simulates a single dice roll 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 PROBLEM 1
"*** YOUR CODE HERE ***"
i = 0
sum = 0
b = 0
while i < num_rolls:
a = dice()
if a == 1:
b = 1
else:
sum = sum + a
i += 1
if b == 1:
return 1
else:
return sum
# END PROBLEM 1
def free_bacon(score):
"""Return the points scored from rolling 0 dice (Free Bacon).
score: The opponent's current score.
"""
assert score < 100, 'The game should be over.'
# BEGIN PROBLEM 2
"*** YOUR CODE HERE ***"
FreeBacon = 2 + abs(score // 10 - score % 10)
return FreeBacon
# END PROBLEM 2
def take_turn(num_rolls, opponent_score, dice=six_sided):
"""Simulate a turn rolling NUM_ROLLS dice, which may be 0 (Free Bacon).
Return the points scored for the turn by the current player.
num_rolls: The number of dice rolls that will be made.
opponent_score: The total score of the opponent.
dice: A function that simulates a single dice roll outcome.
"""
# Leave these assert statements here; they help check for errors.
assert type(num_rolls) == int, 'num_rolls must be an integer.'
assert num_rolls >= 0, 'Cannot roll a negative number of dice in take_turn.'
assert num_rolls <= 10, 'Cannot roll more than 10 dice.'
assert opponent_score < 100, 'The game should be over.'
# BEGIN PROBLEM 3
"*** YOUR CODE HERE ***"
score = 0
if num_rolls == 0:
score = free_bacon(opponent_score)
else:
score = roll_dice(num_rolls, dice)
return score
# END PROBLEM 3
def is_swap(score0, score1):
"""Return whether one of the scores is an integer multiple of the other."""
# BEGIN PROBLEM 4
"*** YOUR CODE HERE ***"
if score0 > 1 and score1 > 1:
if score0 > score1:
if score0 % score1 == 0:
swap = True
else:
swap = False
else:
if score1 % score0 == 0:
swap = True
else:
swap = False
return swap
else:
return False
# END PROBLEM 4
def other(player):
"""Return the other player, for a player PLAYER numbered 0 or 1.
>>> other(0)
1
>>> other(1)
0
"""
return 1 - player
def silence(score0, score1):
"""Announce nothing (see Phase 2)."""
return silence
def play(strategy0, strategy1, score0=0, score1=0, dice=six_sided,
goal=GOAL_SCORE, say=silence):
"""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: Starting score for Player 0
score1: Starting score for Player 1
dice: A function of zero arguments that simulates a dice roll.
goal: The game ends and someone wins when this score is reached.
say: The commentary function to call at the end of the first turn.
"""
player = 0 # Which player is about to take a turn, 0 (first) or 1 (second)
# BEGIN PROBLEM 5
"*** YOUR CODE HERE ***"
while score0 < goal and score1 < goal:
if player == 0:
num_rolls0 = strategy0 (score0, score1)
new_score = take_turn(num_rolls0,score1,dice)
score0 += new_score
swap = is_swap(score0, score1)
if swap:
score0, score1 = score1, score0
else:
num_rolls1 = strategy1 (score1, score0)
new_score = take_turn(num_rolls1,score0,dice)
score1 += new_score
swap = is_swap(score0, score1)
if swap:
score0, score1 = score1, score0
say = say (score0, score1)
player = other(player)
return score0, score1
# END PROBLEM 5
#######################
# Phase 2: Commentary #
#######################
def say_scores(score0, score1):
"""A commentary function that announces the score for each player."""
print("Player 0 now has", score0, "and Player 1 now has", score1)
return say_scores
def announce_lead_changes(previous_leader=None):
"""Return a commentary function that announces lead changes.
>>> f0 = announce_lead_changes()
>>> f1 = f0(5, 0)
Player 0 takes the lead by 5
>>> f2 = f1(5, 12)
Player 1 takes the lead by 7
>>> f3 = f2(8, 12)
>>> f4 = f3(8, 13)
>>> f5 = f4(15, 13)
Player 0 takes the lead by 2
"""
def say(score0, score1):
if score0 > score1:
leader = 0
elif score1 > score0:
leader = 1
else:
leader = None
if leader != None and leader != previous_leader:
print('Player', leader, 'takes the lead by', abs(score0 - score1))
return announce_lead_changes(leader)
return say
def both(f, g):
"""Return a commentary function that says what f says, then what g says.
>>> h0 = both(say_scores, announce_lead_changes())
>>> h1 = h0(10, 0)
Player 0 now has 10 and Player 1 now has 0
Player 0 takes the lead by 10
>>> h2 = h1(10, 6)
Player 0 now has 10 and Player 1 now has 6
>>> h3 = h2(6, 18) # Player 0 gets 8 points, then Swine Swap applies
Player 0 now has 6 and Player 1 now has 18
Player 1 takes the lead by 12
"""
def say(score0, score1):
return both(f(score0, score1), g(score0, score1))
return say
def announce_highest(who, previous_high=0, previous_score=0):
"""Return a commentary function that announces when WHO's score
increases by more than ever before in the game.
>>> f0 = announce_highest(1) # Only announce Player 1 score gains
>>> f1 = f0(11, 0)
>>> f2 = f1(11, 1)
1 point! That's the biggest gain yet for Player 1
>>> f3 = f2(20, 1)
>>> f4 = f3(5, 20) # Player 1 gets 4 points, then Swine Swap applies
19 points! That's the biggest gain yet for Player 1
>>> f5 = f4(20, 40) # Player 0 gets 35 points, then Swine Swap applies
20 points! That's the biggest gain yet for Player 1
>>> f6 = f5(20, 55) # Player 1 gets 15 points; not enough for a new high
"""
assert who == 0 or who == 1, 'The who argument should indicate a player.'
# BEGIN PROBLEM 7
"*** YOUR CODE HERE ***"
def say (score0, score1) :
high = 0
if who == 0:
high = max (high, previous_high)
change = score0-previous_score
if change > high and change > 0:
high = change
if change == 1 :
print ("1 point! That's the biggest gain yet for Player 0")
else :
print (high , "points! That's the biggest gain yet for Player 0")
return announce_highest(who, high, score0)
else :
high = max (high, previous_high)
change = score1-previous_score
if change > high and change > 0:
high = change
if change == 1 :
print ("1 point! That's the biggest gain yet for Player 1")
else :
print (high , "points! That's the biggest gain yet for Player 1")
return announce_highest(who, high, score1)
return say
# END PROBLEM 7
#######################
# Phase 3: 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
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(4, 2, 5, 1)
>>> averaged_dice = make_averaged(dice, 1000)
>>> averaged_dice()
3.0
"""
# BEGIN PROBLEM 8
"*** YOUR CODE HERE ***"
def averaged (*args):
count, i = 0, 0
while i < num_samples :
count += fn(*args)
i += 1
return count / num_samples
return averaged
# END PROBLEM 8
def max_scoring_num_rolls(dice=six_sided, num_samples=1000):
"""Return the number of dice (1 to 10) that gives the highest average turn
score by calling roll_dice with the provided DICE over NUM_SAMPLES times.
Assume that the dice always return positive outcomes.
>>> dice = make_test_dice(1, 6)
>>> max_scoring_num_rolls(dice)
1
"""
# BEGIN PROBLEM 9
"*** YOUR CODE HERE ***"
i , highest, highest_dice = 1, 0, 0
while i <= 10 :
averaged_dice = make_averaged(roll_dice, num_samples)
k = averaged_dice(i, dice)
if k > highest:
highest, highest_dice = k, i
i += 1
return highest_dice
# END PROBLEM 9
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(4)):
"""Return the average win rate of STRATEGY against BASELINE. Averages the
winrate when starting the game as player 0 and as player 1.
"""
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
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)
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 ***"
def bacon_strategy(score, opponent_score, margin=8, num_rolls=4):
"""This strategy rolls 0 dice if that gives at least MARGIN points, and
rolls NUM_ROLLS otherwise.
"""
# BEGIN PROBLEM 10
bacon = free_bacon(opponent_score)
if margin <= bacon:
return 0
else:
return num_rolls # Replace this statement
# END PROBLEM 10
def swap_strategy(score, opponent_score, margin=8, num_rolls=4):
"""This strategy rolls 0 dice when it triggers a beneficial swap. It also
rolls 0 dice if it gives at least MARGIN points. Otherwise, it rolls
NUM_ROLLS.
"""
# BEGIN PROBLEM 11
bacon = free_bacon(opponent_score)
bacon_result = score + bacon
if margin <= bacon and is_swap(bacon_result, opponent_score) == False:
return 0
elif is_swap(bacon_result, opponent_score) == True and bacon_result < opponent_score :
return 0
else :
return num_rolls # Replace this statement
# END PROBLEM 11
def final_strategy(score, opponent_score):
"""Write a brief description of your final strategy.
*** YOUR DESCRIPTION HERE ***
"""
# BEGIN PROBLEM 12
return 4 # Replace this statement
# END PROBLEM 12
##########################
# 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 call 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()