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gridworld.py
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# gridworld.py
# ------------
# Licensing Information: You are free to use or extend these projects for
# educational purposes provided that (1) you do not distribute or publish
# solutions, (2) you retain this notice, and (3) you provide clear
# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
#
# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
# The core projects and autograders were primarily created by John DeNero
# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
# Student side autograding was added by Brad Miller, Nick Hay, and
# Pieter Abbeel (pabbeel@cs.berkeley.edu).
import random
import sys
import mdp
import environment
import util
import optparse
class Gridworld(mdp.MarkovDecisionProcess):
"""
Gridworld
"""
def __init__(self, grid):
# layout
if type(grid) == type([]): grid = makeGrid(grid)
self.grid = grid
# parameters
self.livingReward = 0.0
self.noise = 0.2
def setLivingReward(self, reward):
"""
The (negative) reward for exiting "normal" states.
Note that in the R+N text, this reward is on entering
a state and therefore is not clearly part of the state's
future rewards.
"""
self.livingReward = reward
def setNoise(self, noise):
"""
The probability of moving in an unintended direction.
"""
self.noise = noise
def getPossibleActions(self, state):
"""
Returns list of valid actions for 'state'.
Note that you can request moves into walls and
that "exit" states transition to the terminal
state under the special action "done".
"""
if state == self.grid.terminalState:
return ()
x,y = state
if type(self.grid[x][y]) == int:
return ('exit',)
return ('north','west','south','east')
def getStates(self):
"""
Return list of all states.
"""
# The true terminal state.
states = [self.grid.terminalState]
for x in range(self.grid.width):
for y in range(self.grid.height):
if self.grid[x][y] != '#':
state = (x,y)
states.append(state)
return states
def getReward(self, state, action, nextState):
"""
Get reward for state, action, nextState transition.
Note that the reward depends only on the state being
departed (as in the R+N book examples, which more or
less use this convention).
"""
if state == self.grid.terminalState:
return 0.0
x, y = state
cell = self.grid[x][y]
if type(cell) == int or type(cell) == float:
return cell
return self.livingReward
def getStartState(self):
for x in range(self.grid.width):
for y in range(self.grid.height):
if self.grid[x][y] == 'S':
return (x, y)
raise 'Grid has no start state'
def isTerminal(self, state):
"""
Only the TERMINAL_STATE state is *actually* a terminal state.
The other "exit" states are technically non-terminals with
a single action "exit" which leads to the true terminal state.
This convention is to make the grids line up with the examples
in the R+N textbook.
"""
return state == self.grid.terminalState
def getTransitionStatesAndProbs(self, state, action):
"""
Returns list of (nextState, prob) pairs
representing the states reachable
from 'state' by taking 'action' along
with their transition probabilities.
"""
if action not in self.getPossibleActions(state):
raise "Illegal action!"
if self.isTerminal(state):
return []
x, y = state
if type(self.grid[x][y]) == int or type(self.grid[x][y]) == float:
termState = self.grid.terminalState
return [(termState, 1.0)]
successors = []
northState = (self.__isAllowed(y+1,x) and (x,y+1)) or state
westState = (self.__isAllowed(y,x-1) and (x-1,y)) or state
southState = (self.__isAllowed(y-1,x) and (x,y-1)) or state
eastState = (self.__isAllowed(y,x+1) and (x+1,y)) or state
if action == 'north' or action == 'south':
if action == 'north':
successors.append((northState,1-self.noise))
else:
successors.append((southState,1-self.noise))
massLeft = self.noise
successors.append((westState,massLeft/2.0))
successors.append((eastState,massLeft/2.0))
if action == 'west' or action == 'east':
if action == 'west':
successors.append((westState,1-self.noise))
else:
successors.append((eastState,1-self.noise))
massLeft = self.noise
successors.append((northState,massLeft/2.0))
successors.append((southState,massLeft/2.0))
successors = self.__aggregate(successors)
return successors
def __aggregate(self, statesAndProbs):
counter = util.Counter()
for state, prob in statesAndProbs:
counter[state] += prob
newStatesAndProbs = []
for state, prob in counter.items():
newStatesAndProbs.append((state, prob))
return newStatesAndProbs
def __isAllowed(self, y, x):
if y < 0 or y >= self.grid.height: return False
if x < 0 or x >= self.grid.width: return False
return self.grid[x][y] != '#'
class GridworldEnvironment(environment.Environment):
def __init__(self, gridWorld):
self.gridWorld = gridWorld
self.reset()
def getCurrentState(self):
return self.state
def getPossibleActions(self, state):
return self.gridWorld.getPossibleActions(state)
def doAction(self, action):
state = self.getCurrentState()
(nextState, reward) = self.getRandomNextState(state, action)
self.state = nextState
return (nextState, reward)
def getRandomNextState(self, state, action, randObj=None):
rand = -1.0
if randObj is None:
rand = random.random()
else:
rand = randObj.random()
sum = 0.0
successors = self.gridWorld.getTransitionStatesAndProbs(state, action)
for nextState, prob in successors:
sum += prob
if sum > 1.0:
raise 'Total transition probability more than one; sample failure.'
if rand < sum:
reward = self.gridWorld.getReward(state, action, nextState)
return (nextState, reward)
raise 'Total transition probability less than one; sample failure.'
def reset(self):
self.state = self.gridWorld.getStartState()
class Grid:
"""
A 2-dimensional array of immutables backed by a list of lists. Data is accessed
via grid[x][y] where (x,y) are cartesian coordinates with x horizontal,
y vertical and the origin (0,0) in the bottom left corner.
The __str__ method constructs an output that is oriented appropriately.
"""
def __init__(self, width, height, initialValue=' '):
self.width = width
self.height = height
self.data = [[initialValue for y in range(height)] for x in range(width)]
self.terminalState = 'TERMINAL_STATE'
def __getitem__(self, i):
return self.data[i]
def __setitem__(self, key, item):
self.data[key] = item
def __eq__(self, other):
if other == None: return False
return self.data == other.data
def __hash__(self):
return hash(self.data)
def copy(self):
g = Grid(self.width, self.height)
g.data = [x[:] for x in self.data]
return g
def deepCopy(self):
return self.copy()
def shallowCopy(self):
g = Grid(self.width, self.height)
g.data = self.data
return g
def _getLegacyText(self):
t = [[self.data[x][y] for x in range(self.width)] for y in range(self.height)]
t.reverse()
return t
def __str__(self):
return str(self._getLegacyText())
def makeGrid(gridString):
width, height = len(gridString[0]), len(gridString)
grid = Grid(width, height)
for ybar, line in enumerate(gridString):
y = height - ybar - 1
for x, el in enumerate(line):
grid[x][y] = el
return grid
def getCliffGrid():
grid = [[' ',' ',' ',' ',' '],
['S',' ',' ',' ',10],
[-100,-100, -100, -100, -100]]
return Gridworld(makeGrid(grid))
def getCliffGrid2():
grid = [[' ',' ',' ',' ',' '],
[8,'S',' ',' ',10],
[-100,-100, -100, -100, -100]]
return Gridworld(grid)
def getDiscountGrid():
grid = [[' ',' ',' ',' ',' '],
[' ','#',' ',' ',' '],
[' ','#', 1,'#', 10],
['S',' ',' ',' ',' '],
[-10,-10, -10, -10, -10]]
return Gridworld(grid)
def getBridgeGrid():
grid = [[ '#',-100, -100, -100, -100, -100, '#'],
[ 1, 'S', ' ', ' ', ' ', ' ', 10],
[ '#',-100, -100, -100, -100, -100, '#']]
return Gridworld(grid)
def getBookGrid():
grid = [[' ',' ',' ',+1],
[' ','#',' ',-1],
['S',' ',' ',' ']]
return Gridworld(grid)
def getMazeGrid():
grid = [[' ',' ',' ',+1],
['#','#',' ','#'],
[' ','#',' ',' '],
[' ','#','#',' '],
['S',' ',' ',' ']]
return Gridworld(grid)
def getUserAction(state, actionFunction):
"""
Get an action from the user (rather than the agent).
Used for debugging and lecture demos.
"""
import graphicsUtils
action = None
while True:
keys = graphicsUtils.wait_for_keys()
if 'Up' in keys: action = 'north'
if 'Down' in keys: action = 'south'
if 'Left' in keys: action = 'west'
if 'Right' in keys: action = 'east'
if 'q' in keys: sys.exit(0)
if action == None: continue
break
actions = actionFunction(state)
if action not in actions:
action = actions[0]
return action
def printString(x): print x
def runEpisode(agent, environment, discount, decision, display, message, pause, episode):
returns = 0
totalDiscount = 1.0
environment.reset()
if 'startEpisode' in dir(agent): agent.startEpisode()
message("BEGINNING EPISODE: "+str(episode)+"\n")
while True:
# DISPLAY CURRENT STATE
state = environment.getCurrentState()
display(state)
pause()
# END IF IN A TERMINAL STATE
actions = environment.getPossibleActions(state)
if len(actions) == 0:
message("EPISODE "+str(episode)+" COMPLETE: RETURN WAS "+str(returns)+"\n")
return returns
# GET ACTION (USUALLY FROM AGENT)
action = decision(state)
if action == None:
raise 'Error: Agent returned None action'
# EXECUTE ACTION
nextState, reward = environment.doAction(action)
message("Started in state: "+str(state)+
"\nTook action: "+str(action)+
"\nEnded in state: "+str(nextState)+
"\nGot reward: "+str(reward)+"\n")
# UPDATE LEARNER
if 'observeTransition' in dir(agent):
agent.observeTransition(state, action, nextState, reward)
returns += reward * totalDiscount
totalDiscount *= discount
if 'stopEpisode' in dir(agent):
agent.stopEpisode()
def parseOptions():
optParser = optparse.OptionParser()
optParser.add_option('-d', '--discount',action='store',
type='float',dest='discount',default=0.9,
help='Discount on future (default %default)')
optParser.add_option('-r', '--livingReward',action='store',
type='float',dest='livingReward',default=0.0,
metavar="R", help='Reward for living for a time step (default %default)')
optParser.add_option('-n', '--noise',action='store',
type='float',dest='noise',default=0.2,
metavar="P", help='How often action results in ' +
'unintended direction (default %default)' )
optParser.add_option('-e', '--epsilon',action='store',
type='float',dest='epsilon',default=0.3,
metavar="E", help='Chance of taking a random action in q-learning (default %default)')
optParser.add_option('-l', '--learningRate',action='store',
type='float',dest='learningRate',default=0.5,
metavar="P", help='TD learning rate (default %default)' )
optParser.add_option('-i', '--iterations',action='store',
type='int',dest='iters',default=10,
metavar="K", help='Number of rounds of value iteration (default %default)')
optParser.add_option('-k', '--episodes',action='store',
type='int',dest='episodes',default=1,
metavar="K", help='Number of epsiodes of the MDP to run (default %default)')
optParser.add_option('-g', '--grid',action='store',
metavar="G", type='string',dest='grid',default="BookGrid",
help='Grid to use (case sensitive; options are BookGrid, BridgeGrid, CliffGrid, MazeGrid, default %default)' )
optParser.add_option('-w', '--windowSize', metavar="X", type='int',dest='gridSize',default=150,
help='Request a window width of X pixels *per grid cell* (default %default)')
optParser.add_option('-a', '--agent',action='store', metavar="A",
type='string',dest='agent',default="random",
help='Agent type (options are \'random\', \'value\' and \'q\', default %default)')
optParser.add_option('-t', '--text',action='store_true',
dest='textDisplay',default=False,
help='Use text-only ASCII display')
optParser.add_option('-p', '--pause',action='store_true',
dest='pause',default=False,
help='Pause GUI after each time step when running the MDP')
optParser.add_option('-q', '--quiet',action='store_true',
dest='quiet',default=False,
help='Skip display of any learning episodes')
optParser.add_option('-s', '--speed',action='store', metavar="S", type=float,
dest='speed',default=1.0,
help='Speed of animation, S > 1.0 is faster, 0.0 < S < 1.0 is slower (default %default)')
optParser.add_option('-m', '--manual',action='store_true',
dest='manual',default=False,
help='Manually control agent')
optParser.add_option('-v', '--valueSteps',action='store_true' ,default=False,
help='Display each step of value iteration')
opts, args = optParser.parse_args()
if opts.manual and opts.agent != 'q':
print '## Disabling Agents in Manual Mode (-m) ##'
opts.agent = None
# MANAGE CONFLICTS
if opts.textDisplay or opts.quiet:
# if opts.quiet:
opts.pause = False
# opts.manual = False
if opts.manual:
opts.pause = True
return opts
if __name__ == '__main__':
opts = parseOptions()
###########################
# GET THE GRIDWORLD
###########################
import gridworld
mdpFunction = getattr(gridworld, "get"+opts.grid)
mdp = mdpFunction()
mdp.setLivingReward(opts.livingReward)
mdp.setNoise(opts.noise)
env = gridworld.GridworldEnvironment(mdp)
###########################
# GET THE DISPLAY ADAPTER
###########################
import textGridworldDisplay
display = textGridworldDisplay.TextGridworldDisplay(mdp)
if not opts.textDisplay:
import graphicsGridworldDisplay
display = graphicsGridworldDisplay.GraphicsGridworldDisplay(mdp, opts.gridSize, opts.speed)
try:
display.start()
except KeyboardInterrupt:
sys.exit(0)
###########################
# GET THE AGENT
###########################
import valueIterationAgents, qlearningAgents
a = None
if opts.agent == 'value':
a = valueIterationAgents.ValueIterationAgent(mdp, opts.discount, opts.iters)
elif opts.agent == 'q':
#env.getPossibleActions, opts.discount, opts.learningRate, opts.epsilon
#simulationFn = lambda agent, state: simulation.GridworldSimulation(agent,state,mdp)
gridWorldEnv = GridworldEnvironment(mdp)
actionFn = lambda state: mdp.getPossibleActions(state)
qLearnOpts = {'gamma': opts.discount,
'alpha': opts.learningRate,
'epsilon': opts.epsilon,
'actionFn': actionFn}
a = qlearningAgents.QLearningAgent(**qLearnOpts)
elif opts.agent == 'random':
# # No reason to use the random agent without episodes
if opts.episodes == 0:
opts.episodes = 10
class RandomAgent:
def getAction(self, state):
return random.choice(mdp.getPossibleActions(state))
def getValue(self, state):
return 0.0
def getQValue(self, state, action):
return 0.0
def getPolicy(self, state):
"NOTE: 'random' is a special policy value; don't use it in your code."
return 'random'
def update(self, state, action, nextState, reward):
pass
a = RandomAgent()
else:
if not opts.manual: raise 'Unknown agent type: '+opts.agent
###########################
# RUN EPISODES
###########################
# DISPLAY Q/V VALUES BEFORE SIMULATION OF EPISODES
try:
if not opts.manual and opts.agent == 'value':
if opts.valueSteps:
for i in range(opts.iters):
tempAgent = valueIterationAgents.ValueIterationAgent(mdp, opts.discount, i)
display.displayValues(tempAgent, message = "VALUES AFTER "+str(i)+" ITERATIONS")
display.pause()
display.displayValues(a, message = "VALUES AFTER "+str(opts.iters)+" ITERATIONS")
display.pause()
display.displayQValues(a, message = "Q-VALUES AFTER "+str(opts.iters)+" ITERATIONS")
display.pause()
except KeyboardInterrupt:
sys.exit(0)
# FIGURE OUT WHAT TO DISPLAY EACH TIME STEP (IF ANYTHING)
displayCallback = lambda x: None
if not opts.quiet:
if opts.manual and opts.agent == None:
displayCallback = lambda state: display.displayNullValues(state)
else:
if opts.agent == 'random': displayCallback = lambda state: display.displayValues(a, state, "CURRENT VALUES")
if opts.agent == 'value': displayCallback = lambda state: display.displayValues(a, state, "CURRENT VALUES")
if opts.agent == 'q': displayCallback = lambda state: display.displayQValues(a, state, "CURRENT Q-VALUES")
messageCallback = lambda x: printString(x)
if opts.quiet:
messageCallback = lambda x: None
# FIGURE OUT WHETHER TO WAIT FOR A KEY PRESS AFTER EACH TIME STEP
pauseCallback = lambda : None
if opts.pause:
pauseCallback = lambda : display.pause()
# FIGURE OUT WHETHER THE USER WANTS MANUAL CONTROL (FOR DEBUGGING AND DEMOS)
if opts.manual:
decisionCallback = lambda state : getUserAction(state, mdp.getPossibleActions)
else:
decisionCallback = a.getAction
# RUN EPISODES
if opts.episodes > 0:
print
print "RUNNING", opts.episodes, "EPISODES"
print
returns = 0
for episode in range(1, opts.episodes+1):
returns += runEpisode(a, env, opts.discount, decisionCallback, displayCallback, messageCallback, pauseCallback, episode)
if opts.episodes > 0:
print
print "AVERAGE RETURNS FROM START STATE: "+str((returns+0.0) / opts.episodes)
print
print
# DISPLAY POST-LEARNING VALUES / Q-VALUES
if opts.agent == 'q' and not opts.manual:
try:
display.displayQValues(a, message = "Q-VALUES AFTER "+str(opts.episodes)+" EPISODES")
display.pause()
display.displayValues(a, message = "VALUES AFTER "+str(opts.episodes)+" EPISODES")
display.pause()
except KeyboardInterrupt:
sys.exit(0)