Fall 2020 Berkeley cs61a Hog Project
**
Fall 2020 Berkeley cs61a Hog Project
**
Fall 2020 的Hog和之前project有些变化，Github找不到，所以分享一下～
"""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.
FIRST_101_DIGITS_OF_PI = 31415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
######################
# 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 ***"
sum = 0
mark = 0
while num_rolls >= 1:
current_dice = dice()
sum = sum + current_dice
if current_dice == 1:
mark = 1
num_rolls = num_rolls - 1
if mark == 1:
sum = 1
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.'
pi = FIRST_101_DIGITS_OF_PI
# Trim pi to only (score + 1) digit(s)
# BEGIN PROBLEM 2
"*** YOUR CODE HERE ***"
pi = pi // 10**(100-score)
sum = pi % 10 + 3
return sum
# END PROBLEM 2
return pi % 10 + 3
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 ***"
if num_rolls == 0:
return free_bacon(opponent_score)
else:
return roll_dice(num_rolls, dice)
# END PROBLEM 3
def extra_turn(player_score, opponent_score):
"""Return whether the player gets an extra turn."""
return (pig_pass(player_score, opponent_score) or
swine_align(player_score, opponent_score))
def swine_align(player_score, opponent_score):
"""Return whether the player gets an extra turn due to Swine Align.
player_score: The total score of the current player.
opponent_score: The total score of the other player.
>>> swine_align(30, 45) # The GCD is 15.
True
>>> swine_align(35, 45) # The GCD is 5.
False
"""
# BEGIN PROBLEM 4a
"*** YOUR CODE HERE ***"
if player_score == 0 or opponent_score == 0:
return False
GCD = min(player_score, opponent_score)
while GCD >= 10:
if player_score % GCD == 0 and opponent_score % GCD == 0:
return True
else:
GCD = GCD - 1
return False
# END PROBLEM 4a
def pig_pass(player_score, opponent_score):
"""Return whether the player gets an extra turn due to Pig Pass.
player_score: The total score of the current player.
opponent_score: The total score of the other player.
>>> pig_pass(9, 12)
False
>>> pig_pass(10, 12)
True
>>> pig_pass(11, 12)
True
>>> pig_pass(12, 12)
False
>>> pig_pass(13, 12)
False
"""
# BEGIN PROBLEM 4b
"*** YOUR CODE HERE ***"
if opponent_score - player_score < 3 and opponent_score - player_score > 0:
return True
else:
return False
# END PROBLEM 4b
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 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.
"""
who = 0 # Who is about to take a turn, 0 (first) or 1 (second)
# BEGIN PROBLEM 5
"*** YOUR CODE HERE ***"
while True:
if who == 0:
score_gained = take_turn(strategy0(score0, score1),score1, dice )
score0 = score0 + score_gained
say = say(score0, score1)
if score0 >= goal or score1 >= goal:
break
if not extra_turn(score0, score1):
who = other(who)
else:
score_gained = take_turn(strategy1(score1, score0),score0, dice )
score1 = score1 + score_gained
say = say(score0, score1)
if score0 >= goal or score1 >= goal:
break
if not extra_turn(score1, score0):
who = other(who)
# END PROBLEM 5
# (note that the indentation for the problem 6 prompt (***YOUR CODE HERE***) might be misleading)
# BEGIN PROBLEM 6
"*** YOUR CODE HERE ***"
# END PROBLEM 6
return score0, score1
#######################
# 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(last_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 != last_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.
NOTE: the following game is not possible under the rules, it's just
an example for the sake of the doctest
>>> 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, 8)
Player 0 now has 10 and Player 1 now has 8
>>> h3 = h2(10, 17)
Player 0 now has 10 and Player 1 now has 17
Player 1 takes the lead by 7
"""
def say(score0, score1):
return both(f(score0, score1), g(score0, score1))
return say
def announce_highest(who, last_score=0, running_high=0):
"""Return a commentary function that announces when WHO's score
increases by more than ever before in the game.
NOTE: the following game is not possible under the rules, it's just
an example for the sake of the doctest
>>> f0 = announce_highest(1) # Only announce Player 1 score gains
>>> f1 = f0(12, 0)
>>> f2 = f1(12, 9)
9 point(s)! The most yet for Player 1
>>> f3 = f2(20, 9)
>>> f4 = f3(20, 30)
21 point(s)! The most yet for Player 1
>>> f5 = f4(20, 47) # Player 1 gets 17 points; not enough for a new high
>>> f6 = f5(21, 47)
>>> f7 = f6(21, 77)
30 point(s)! The most yet for Player 1
"""
assert who == 0 or who == 1, 'The who argument should indicate a player.'
# BEGIN PROBLEM 7
"*** YOUR CODE HERE ***"
def say(score0, score1):
alt = running_high
if who == 0:
current_score = score0
else:
current_score = score1
range = current_score - last_score
if range > alt:
alt = range
print(range, 'point(s)!', 'The most yet for Player', who)
return announce_highest(who, current_score, alt)
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(original_function, trials_count=1000):
"""Return a function that returns the average value of ORIGINAL_FUNCTION
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 another_one(*args):
i = 0
sum = 0
while i < trials_count:
data = original_function(*args)
sum += data
i += 1
return sum/trials_count
return another_one
# END PROBLEM 8
def max_scoring_num_rolls(dice=six_sided, trials_count=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 TRIALS_COUNT 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 = 1
best_gained_score = 0
while i <= 10:
estimated_gained_score = make_averaged(roll_dice, trials_count)(i, dice)
if estimated_gained_score > best_gained_score:
best_gained_score = estimated_gained_score
best_num_of_rolls = i
i = i + 1
return best_num_of_rolls
# 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(6)):
"""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 False: # 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 True: # 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 extra_turn_strategy
print('extra_turn_strategy win rate:', average_win_rate(extra_turn_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, cutoff=8, num_rolls=6):
"""This strategy rolls 0 dice if that gives at least CUTOFF points, and
rolls NUM_ROLLS otherwise.
"""
# BEGIN PROBLEM 10
if free_bacon(opponent_score) >= cutoff:
return 0
else:
return num_rolls
# END PROBLEM 10
def extra_turn_strategy(score, opponent_score, cutoff=8, num_rolls=6):
"""This strategy rolls 0 dice when it triggers an extra turn. It also
rolls 0 dice if it gives at least CUTOFF points and does not give an extra turn.
Otherwise, it rolls NUM_ROLLS.
"""
# BEGIN PROBLEM 11
if extra_turn(free_bacon(opponent_score) + score, opponent_score):
return 0
if bacon_strategy(score, opponent_score, cutoff, num_rolls) == 0:
return 0
return num_rolls
# END PROBLEM 11
def final_strategy(score, opponent_score):
"""Write a brief description of your final strategy.
*** YOUR DESCRIPTION HERE ***
"""
# BEGIN PROBLEM 12
return 6 # 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 calls corresponding functions."""
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()