reinforcementTestClasses.py

# reinforcementTestClasses.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 testClasses
import random, math, traceback, sys, os
import layout, textDisplay, pacman, gridworld
import time
from util import Counter, TimeoutFunction, FixedRandom, Experiences
from collections import defaultdict
from pprint import PrettyPrinter
from hashlib import sha1
from functools import reduce
pp = PrettyPrinter()
VERBOSE = False

import gridworld

LIVINGREWARD = -0.1
NOISE = 0.2

class ValueIterationTest(testClasses.TestCase):

    def __init__(self, question, testDict):
        super(ValueIterationTest, self).__init__(question, testDict)
        self.discount = float(testDict['discount'])
        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
        iterations = int(testDict['valueIterations'])
        if 'noise' in testDict: self.grid.setNoise(float(testDict['noise']))
        if 'livingReward' in testDict: self.grid.setLivingReward(float(testDict['livingReward']))
        maxPreIterations = 10
        self.numsIterationsForDisplay = list(range(min(iterations, maxPreIterations)))
        self.testOutFile = testDict['test_out_file']
        if maxPreIterations < iterations:
            self.numsIterationsForDisplay.append(iterations)

    def writeFailureFile(self, string):
        with open(self.testOutFile, 'w') as handle:
            handle.write(string)

    def removeFailureFileIfExists(self):
        if os.path.exists(self.testOutFile):
            os.remove(self.testOutFile)

    def execute(self, grades, moduleDict, solutionDict):
        failureOutputFileString = ''
        failureOutputStdString = ''
        for n in self.numsIterationsForDisplay:
            checkPolicy = (n == self.numsIterationsForDisplay[-1])
            testPass, stdOutString, fileOutString = self.executeNIterations(grades, moduleDict, solutionDict, n, checkPolicy)
            failureOutputStdString += stdOutString
            failureOutputFileString += fileOutString
            if not testPass:
                self.addMessage(failureOutputStdString)
                self.addMessage('For more details to help you debug, see test output file %s\n\n' % self.testOutFile)
                self.writeFailureFile(failureOutputFileString)
                return self.testFail(grades)
        self.removeFailureFileIfExists()
        return self.testPass(grades)

    def executeNIterations(self, grades, moduleDict, solutionDict, n, checkPolicy):
        testPass = True
        valuesPretty, qValuesPretty, actions, policyPretty = self.runAgent(moduleDict, n)
        stdOutString = ''
        fileOutString = ''
        valuesKey = "values_k_%d" % n
        if self.comparePrettyValues(valuesPretty, solutionDict[valuesKey]):
            fileOutString += "Values at iteration %d are correct.\n" % n
            fileOutString += "   Student/correct solution:\n %s\n" % self.prettyValueSolutionString(valuesKey, valuesPretty)
        else:
            testPass = False
            outString = "Values at iteration %d are NOT correct.\n" % n
            outString += "   Student solution:\n %s\n" % self.prettyValueSolutionString(valuesKey, valuesPretty)
            outString += "   Correct solution:\n %s\n" % self.prettyValueSolutionString(valuesKey, solutionDict[valuesKey])
            stdOutString += outString
            fileOutString += outString
        for action in actions:
            qValuesKey = 'q_values_k_%d_action_%s' % (n, action)
            qValues = qValuesPretty[action]
            if self.comparePrettyValues(qValues, solutionDict[qValuesKey]):
                fileOutString += "Q-Values at iteration %d for action %s are correct.\n" % (n, action)
                fileOutString += "   Student/correct solution:\n %s\n" % self.prettyValueSolutionString(qValuesKey, qValues)
            else:
                testPass = False
                outString = "Q-Values at iteration %d for action %s are NOT correct.\n" % (n, action)
                outString += "   Student solution:\n %s\n" % self.prettyValueSolutionString(qValuesKey, qValues)
                outString += "   Correct solution:\n %s\n" % self.prettyValueSolutionString(qValuesKey, solutionDict[qValuesKey])
                stdOutString += outString
                fileOutString += outString
        if checkPolicy:
            if not self.comparePrettyValues(policyPretty, solutionDict['policy']):
                testPass = False
                outString = "Policy is NOT correct.\n"
                outString += "   Student solution:\n %s\n" % self.prettyValueSolutionString('policy', policyPretty)
                outString += "   Correct solution:\n %s\n" % self.prettyValueSolutionString('policy', solutionDict['policy'])
                stdOutString += outString
                fileOutString += outString
        return testPass, stdOutString, fileOutString

    def writeSolution(self, moduleDict, filePath):
        with open(filePath, 'w') as handle:
            policyPretty = ''
            actions = []
            for n in self.numsIterationsForDisplay:
                valuesPretty, qValuesPretty, actions, policyPretty = self.runAgent(moduleDict, n)
                handle.write(self.prettyValueSolutionString('values_k_%d' % n, valuesPretty))
                for action in actions:
                    handle.write(self.prettyValueSolutionString('q_values_k_%d_action_%s' % (n, action), qValuesPretty[action]))
            handle.write(self.prettyValueSolutionString('policy', policyPretty))
            handle.write(self.prettyValueSolutionString('actions', '\n'.join(actions) + '\n'))
        return True

    def runAgent(self, moduleDict, numIterations):
        agent = moduleDict['valueIterationAgents'].ValueIterationAgent(self.grid, discount=self.discount, iterations=numIterations)
        states = self.grid.getStates()
        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
        values = {}
        qValues = {}
        policy = {}
        for state in states:
            values[state] = agent.getValue(state)
            policy[state] = agent.computeActionFromValues(state)
            possibleActions = self.grid.getPossibleActions(state)
            for action in actions:
                if action not in qValues:
                    qValues[action] = {}
                if action in possibleActions:
                    qValues[action][state] = agent.computeQValueFromValues(state, action)
                else:
                    qValues[action][state] = None
        valuesPretty = self.prettyValues(values)
        policyPretty = self.prettyPolicy(policy)
        qValuesPretty = {}
        for action in actions:
            qValuesPretty[action] = self.prettyValues(qValues[action])
        return (valuesPretty, qValuesPretty, actions, policyPretty)

    def prettyPrint(self, elements, formatString):
        pretty = ''
        states = self.grid.getStates()
        for ybar in range(self.grid.grid.height):
            y = self.grid.grid.height-1-ybar
            row = []
            for x in range(self.grid.grid.width):
                if (x, y) in states:
                    value = elements[(x, y)]
                    if value is None:
                        row.append('   illegal')
                    else:
                        row.append(formatString.format(elements[(x,y)]))
                else:
                    row.append('_' * 10)
            pretty += '        %s\n' % ("   ".join(row), )
        pretty += '\n'
        return pretty

    def prettyValues(self, values):
        return self.prettyPrint(values, '{0:10.4f}')

    def prettyPolicy(self, policy):
        return self.prettyPrint(policy, '{0:10s}')

    def prettyValueSolutionString(self, name, pretty):
        return '%s: """\n%s\n"""\n\n' % (name, pretty.rstrip())

    def comparePrettyValues(self, aPretty, bPretty, tolerance=0.01):
        aList = self.parsePrettyValues(aPretty)
        bList = self.parsePrettyValues(bPretty)
        if len(aList) != len(bList):
            return False
        for a, b in zip(aList, bList):
            try:
                aNum = float(a)
                bNum = float(b)
                # error = abs((aNum - bNum) / ((aNum + bNum) / 2.0))
                error = abs(aNum - bNum)
                if error > tolerance:
                    return False
            except ValueError:
                if a.strip() != b.strip():
                    return False
        return True

    def parsePrettyValues(self, pretty):
        values = pretty.split()
        return values


class AsynchronousValueIterationTest(ValueIterationTest):
    def runAgent(self, moduleDict, numIterations):
        agent = moduleDict['valueIterationAgents'].AsynchronousValueIterationAgent(self.grid, discount=self.discount, iterations=numIterations)
        states = self.grid.getStates()
        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
        values = {}
        qValues = {}
        policy = {}
        for state in states:
            values[state] = agent.getValue(state)
            policy[state] = agent.computeActionFromValues(state)
            possibleActions = self.grid.getPossibleActions(state)
            for action in actions:
                if action not in qValues:
                    qValues[action] = {}
                if action in possibleActions:
                    qValues[action][state] = agent.computeQValueFromValues(state, action)
                else:
                    qValues[action][state] = None
        valuesPretty = self.prettyValues(values)
        policyPretty = self.prettyPolicy(policy)
        qValuesPretty = {}
        for action in actions:
            qValuesPretty[action] = self.prettyValues(qValues[action])
        return (valuesPretty, qValuesPretty, actions, policyPretty)

class PrioritizedSweepingValueIterationTest(ValueIterationTest):
    def runAgent(self, moduleDict, numIterations):
        agent = moduleDict['valueIterationAgents'].PrioritizedSweepingValueIterationAgent(self.grid, discount=self.discount, iterations=numIterations)
        states = self.grid.getStates()
        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
        values = {}
        qValues = {}
        policy = {}
        for state in states:
            values[state] = agent.getValue(state)
            policy[state] = agent.computeActionFromValues(state)
            possibleActions = self.grid.getPossibleActions(state)
            for action in actions:
                if action not in qValues:
                    qValues[action] = {}
                if action in possibleActions:
                    qValues[action][state] = agent.computeQValueFromValues(state, action)
                else:
                    qValues[action][state] = None
        valuesPretty = self.prettyValues(values)
        policyPretty = self.prettyPolicy(policy)
        qValuesPretty = {}
        for action in actions:
            qValuesPretty[action] = self.prettyValues(qValues[action])
        return (valuesPretty, qValuesPretty, actions, policyPretty)

class ApproximateQLearningTest(testClasses.TestCase):

    def __init__(self, question, testDict):
        super(ApproximateQLearningTest, self).__init__(question, testDict)
        self.discount = float(testDict['discount'])
        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
        if 'noise' in testDict: self.grid.setNoise(float(testDict['noise']))
        if 'livingReward' in testDict: self.grid.setLivingReward(float(testDict['livingReward']))
        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
        self.env = gridworld.GridworldEnvironment(self.grid)
        self.epsilon = float(testDict['epsilon'])
        self.learningRate = float(testDict['learningRate'])
        self.extractor = 'IdentityExtractor'
        if 'extractor' in testDict:
            self.extractor = testDict['extractor']
        self.opts = {'actionFn': self.env.getPossibleActions, 'epsilon': self.epsilon, 'gamma': self.discount, 'alpha': self.learningRate}
        numExperiences = int(testDict['numExperiences'])
        maxPreExperiences = 10
        self.numsExperiencesForDisplay = list(range(min(numExperiences, maxPreExperiences)))
        self.testOutFile = testDict['test_out_file']
        if sys.platform == 'win32':
            _, question_name, test_name = testDict['test_out_file'].split('\\')
        else:
            _, question_name, test_name = testDict['test_out_file'].split('/')
        self.experiences = Experiences(test_name.split('.')[0])
        if maxPreExperiences < numExperiences:
            self.numsExperiencesForDisplay.append(numExperiences)

    def writeFailureFile(self, string):
        with open(self.testOutFile, 'w') as handle:
            handle.write(string)

    def removeFailureFileIfExists(self):
        if os.path.exists(self.testOutFile):
            os.remove(self.testOutFile)

    def execute(self, grades, moduleDict, solutionDict):
        failureOutputFileString = ''
        failureOutputStdString = ''
        for n in self.numsExperiencesForDisplay:
            testPass, stdOutString, fileOutString = self.executeNExperiences(grades, moduleDict, solutionDict, n)
            failureOutputStdString += stdOutString
            failureOutputFileString += fileOutString
            if not testPass:
                self.addMessage(failureOutputStdString)
                self.addMessage('For more details to help you debug, see test output file %s\n\n' % self.testOutFile)
                self.writeFailureFile(failureOutputFileString)
                return self.testFail(grades)
        self.removeFailureFileIfExists()
        return self.testPass(grades)

    def executeNExperiences(self, grades, moduleDict, solutionDict, n):
        testPass = True
        qValuesPretty, weights, actions, lastExperience = self.runAgent(moduleDict, n)
        stdOutString = ''
        fileOutString = "==================== Iteration %d ====================\n" % n
        if lastExperience is not None:
            fileOutString += "Agent observed the transition (startState = %s, action = %s, endState = %s, reward = %f)\n\n" % lastExperience
        weightsKey = 'weights_k_%d' % n
        if weights == eval(solutionDict[weightsKey]):
            fileOutString += "Weights at iteration %d are correct." % n
            fileOutString += "   Student/correct solution:\n\n%s\n\n" % pp.pformat(weights)
        for action in actions:
            qValuesKey = 'q_values_k_%d_action_%s' % (n, action)
            qValues = qValuesPretty[action]
            if self.comparePrettyValues(qValues, solutionDict[qValuesKey]):
                fileOutString += "Q-Values at iteration %d for action '%s' are correct." % (n, action)
                fileOutString += "   Student/correct solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, qValues)
            else:
                testPass = False
                outString = "Q-Values at iteration %d for action '%s' are NOT correct." % (n, action)
                outString += "   Student solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, qValues)
                outString += "   Correct solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, solutionDict[qValuesKey])
                stdOutString += outString
                fileOutString += outString
        return testPass, stdOutString, fileOutString

    def writeSolution(self, moduleDict, filePath):
        with open(filePath, 'w') as handle:
            for n in self.numsExperiencesForDisplay:
                qValuesPretty, weights, actions, _ = self.runAgent(moduleDict, n)
                handle.write(self.prettyValueSolutionString('weights_k_%d' % n, pp.pformat(weights)))
                for action in actions:
                    handle.write(self.prettyValueSolutionString('q_values_k_%d_action_%s' % (n, action), qValuesPretty[action]))
        return True

    def runAgent(self, moduleDict, numExperiences):
        agent = moduleDict['qlearningAgents'].ApproximateQAgent(extractor=self.extractor, **self.opts)
        states = [state for state in self.grid.getStates() if len(self.grid.getPossibleActions(state)) > 0]
        states.sort()
        lastExperience = None
        for i in range(numExperiences):
            lastExperience = self.experiences.get_experience()
            agent.update(*lastExperience)
        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
        qValues = {}
        weights = agent.getWeights()
        for state in states:
            possibleActions = self.grid.getPossibleActions(state)
            for action in actions:
                if action not in qValues:
                    qValues[action] = {}
                if action in possibleActions:
                    qValues[action][state] = agent.getQValue(state, action)
                else:
                    qValues[action][state] = None
        qValuesPretty = {}
        for action in actions:
            qValuesPretty[action] = self.prettyValues(qValues[action])
        return (qValuesPretty, weights, actions, lastExperience)

    def prettyPrint(self, elements, formatString):
        pretty = ''
        states = self.grid.getStates()
        for ybar in range(self.grid.grid.height):
            y = self.grid.grid.height-1-ybar
            row = []
            for x in range(self.grid.grid.width):
                if (x, y) in states:
                    value = elements[(x, y)]
                    if value is None:
                        row.append('   illegal')
                    else:
                        row.append(formatString.format(elements[(x,y)]))
                else:
                    row.append('_' * 10)
            pretty += '        %s\n' % ("   ".join(row), )
        pretty += '\n'
        return pretty

    def prettyValues(self, values):
        return self.prettyPrint(values, '{0:10.4f}')

    def prettyPolicy(self, policy):
        return self.prettyPrint(policy, '{0:10s}')

    def prettyValueSolutionString(self, name, pretty):
        return '%s: """\n%s\n"""\n\n' % (name, pretty.rstrip())

    def comparePrettyValues(self, aPretty, bPretty, tolerance=0.01):
        aList = self.parsePrettyValues(aPretty)
        bList = self.parsePrettyValues(bPretty)
        if len(aList) != len(bList):
            return False
        for a, b in zip(aList, bList):
            try:
                aNum = float(a)
                bNum = float(b)
                # error = abs((aNum - bNum) / ((aNum + bNum) / 2.0))
                error = abs(aNum - bNum)
                if error > tolerance:
                    return False
            except ValueError:
                if a.strip() != b.strip():
                    return False
        return True

    def parsePrettyValues(self, pretty):
        values = pretty.split()
        return values


class QLearningTest(testClasses.TestCase):

    def __init__(self, question, testDict):
        super(QLearningTest, self).__init__(question, testDict)
        self.discount = float(testDict['discount'])
        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
        if 'noise' in testDict: self.grid.setNoise(float(testDict['noise']))
        if 'livingReward' in testDict: self.grid.setLivingReward(float(testDict['livingReward']))
        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
        self.env = gridworld.GridworldEnvironment(self.grid)
        self.epsilon = float(testDict['epsilon'])
        self.learningRate = float(testDict['learningRate'])
        self.opts = {'actionFn': self.env.getPossibleActions, 'epsilon': self.epsilon, 'gamma': self.discount, 'alpha': self.learningRate}
        numExperiences = int(testDict['numExperiences'])
        maxPreExperiences = 10
        self.numsExperiencesForDisplay = list(range(min(numExperiences, maxPreExperiences)))
        self.testOutFile = testDict['test_out_file']
        if sys.platform == 'win32':
            _, question_name, test_name = testDict['test_out_file'].split('\\')
        else:
            _, question_name, test_name = testDict['test_out_file'].split('/')
        self.experiences = Experiences(test_name.split('.')[0])
        if maxPreExperiences < numExperiences:
            self.numsExperiencesForDisplay.append(numExperiences)

    def writeFailureFile(self, string):
        with open(self.testOutFile, 'w') as handle:
            handle.write(string)

    def removeFailureFileIfExists(self):
        if os.path.exists(self.testOutFile):
            os.remove(self.testOutFile)

    def execute(self, grades, moduleDict, solutionDict):
        failureOutputFileString = ''
        failureOutputStdString = ''
        for n in self.numsExperiencesForDisplay:
            checkValuesAndPolicy = (n == self.numsExperiencesForDisplay[-1])
            testPass, stdOutString, fileOutString = self.executeNExperiences(grades, moduleDict, solutionDict, n, checkValuesAndPolicy)
            failureOutputStdString += stdOutString
            failureOutputFileString += fileOutString
            if not testPass:
                self.addMessage(failureOutputStdString)
                self.addMessage('For more details to help you debug, see test output file %s\n\n' % self.testOutFile)
                self.writeFailureFile(failureOutputFileString)
                return self.testFail(grades)
        self.removeFailureFileIfExists()
        return self.testPass(grades)

    def executeNExperiences(self, grades, moduleDict, solutionDict, n, checkValuesAndPolicy):
        testPass = True
        valuesPretty, qValuesPretty, actions, policyPretty, lastExperience = self.runAgent(moduleDict, n)
        stdOutString = ''
        # fileOutString = "==================== Iteration %d ====================\n" % n
        fileOutString = ''
        if lastExperience is not None:
            # fileOutString += "Agent observed the transition (startState = %s, action = %s, endState = %s, reward = %f)\n\n\n" % lastExperience
            pass
        for action in actions:
            qValuesKey = 'q_values_k_%d_action_%s' % (n, action)
            qValues = qValuesPretty[action]

            if self.comparePrettyValues(qValues, solutionDict[qValuesKey]):
                # fileOutString += "Q-Values at iteration %d for action '%s' are correct." % (n, action)
                # fileOutString += "   Student/correct solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, qValues)
                pass
            else:
                testPass = False
                outString = "Q-Values at iteration %d for action '%s' are NOT correct." % (n, action)
                outString += "   Student solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, qValues)
                outString += "   Correct solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, solutionDict[qValuesKey])
                stdOutString += outString
                fileOutString += outString
        if checkValuesAndPolicy:
            if not self.comparePrettyValues(valuesPretty, solutionDict['values']):
                testPass = False
                outString = "Values are NOT correct."
                outString += "   Student solution:\n\t%s" % self.prettyValueSolutionString('values', valuesPretty)
                outString += "   Correct solution:\n\t%s" % self.prettyValueSolutionString('values', solutionDict['values'])
                stdOutString += outString
                fileOutString += outString
            if not self.comparePrettyValues(policyPretty, solutionDict['policy']):
                testPass = False
                outString = "Policy is NOT correct."
                outString += "   Student solution:\n\t%s" % self.prettyValueSolutionString('policy', policyPretty)
                outString += "   Correct solution:\n\t%s" % self.prettyValueSolutionString('policy', solutionDict['policy'])
                stdOutString += outString
                fileOutString += outString
        return testPass, stdOutString, fileOutString

    def writeSolution(self, moduleDict, filePath):
        with open(filePath, 'w') as handle:
            valuesPretty = ''
            policyPretty = ''
            for n in self.numsExperiencesForDisplay:
                valuesPretty, qValuesPretty, actions, policyPretty, _ = self.runAgent(moduleDict, n)
                for action in actions:
                    handle.write(self.prettyValueSolutionString('q_values_k_%d_action_%s' % (n, action), qValuesPretty[action]))
            handle.write(self.prettyValueSolutionString('values', valuesPretty))
            handle.write(self.prettyValueSolutionString('policy', policyPretty))
        return True

    def runAgent(self, moduleDict, numExperiences):
        agent = moduleDict['qlearningAgents'].QLearningAgent(**self.opts)
        states = [state for state in self.grid.getStates() if len(self.grid.getPossibleActions(state)) > 0]
        states.sort()
        lastExperience = None
        for i in range(numExperiences):
            lastExperience = self.experiences.get_experience()
            agent.update(*lastExperience)
        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
        values = {}
        qValues = {}
        policy = {}
        for state in states:
            values[state] = agent.computeValueFromQValues(state)
            policy[state] = agent.computeActionFromQValues(state)
            possibleActions = self.grid.getPossibleActions(state)
            for action in actions:
                if action not in qValues:
                    qValues[action] = {}
                if action in possibleActions:
                    qValues[action][state] = agent.getQValue(state, action)
                else:
                    qValues[action][state] = None
        valuesPretty = self.prettyValues(values)
        policyPretty = self.prettyPolicy(policy)
        qValuesPretty = {}
        for action in actions:
            qValuesPretty[action] = self.prettyValues(qValues[action])
        return (valuesPretty, qValuesPretty, actions, policyPretty, lastExperience)

    def prettyPrint(self, elements, formatString):
        pretty = ''
        states = self.grid.getStates()
        for ybar in range(self.grid.grid.height):
            y = self.grid.grid.height-1-ybar
            row = []
            for x in range(self.grid.grid.width):
                if (x, y) in states:
                    value = elements[(x, y)]
                    if value is None:
                        row.append('   illegal')
                    else:
                        row.append(formatString.format(elements[(x,y)]))
                else:
                    row.append('_' * 10)
            pretty += '        %s\n' % ("   ".join(row), )
        pretty += '\n'
        return pretty

    def prettyValues(self, values):
        return self.prettyPrint(values, '{0:10.4f}')

    def prettyPolicy(self, policy):
        return self.prettyPrint(policy, '{0:10s}')

    def prettyValueSolutionString(self, name, pretty):
        return '%s: """\n%s\n"""\n\n' % (name, pretty.rstrip())

    def comparePrettyValues(self, aPretty, bPretty, tolerance=0.01):
        aList = self.parsePrettyValues(aPretty)
        bList = self.parsePrettyValues(bPretty)
        if len(aList) != len(bList):
            return False
        for a, b in zip(aList, bList):
            try:
                aNum = float(a)
                bNum = float(b)
                # error = abs((aNum - bNum) / ((aNum + bNum) / 2.0))
                error = abs(aNum - bNum)
                if error > tolerance:
                    return False
            except ValueError:
                if a.strip() != b.strip():
                    return False
        return True

    def parsePrettyValues(self, pretty):
        values = pretty.split()
        return values


class EpsilonGreedyTest(testClasses.TestCase):

    def __init__(self, question, testDict):
        super(EpsilonGreedyTest, self).__init__(question, testDict)
        self.discount = float(testDict['discount'])
        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
        if 'noise' in testDict: self.grid.setNoise(float(testDict['noise']))
        if 'livingReward' in testDict: self.grid.setLivingReward(float(testDict['livingReward']))

        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
        self.env = gridworld.GridworldEnvironment(self.grid)
        self.epsilon = float(testDict['epsilon'])
        self.learningRate = float(testDict['learningRate'])
        self.numExperiences = int(testDict['numExperiences'])
        self.numIterations = int(testDict['iterations'])
        self.opts = {'actionFn': self.env.getPossibleActions, 'epsilon': self.epsilon, 'gamma': self.discount, 'alpha': self.learningRate}
        if sys.platform == 'win32':
            _, question_name, test_name = testDict['test_out_file'].split('\\')
        else:
            _, question_name, test_name = testDict['test_out_file'].split('/')
        self.experiences = Experiences(test_name.split('.')[0])

    def execute(self, grades, moduleDict, solutionDict):
        if self.testEpsilonGreedy(moduleDict):
            return self.testPass(grades)
        else:
            return self.testFail(grades)

    def writeSolution(self, moduleDict, filePath):
        with open(filePath, 'w') as handle:
            handle.write('# This is the solution file for %s.\n' % self.path)
            handle.write('# File intentionally blank.\n')
        return True

    def runAgent(self, moduleDict):
        agent = moduleDict['qlearningAgents'].QLearningAgent(**self.opts)
        states = [state for state in self.grid.getStates() if len(self.grid.getPossibleActions(state)) > 0]
        states.sort()
        for i in range(self.numExperiences):
            lastExperience = self.experiences.get_experience()
            agent.update(*lastExperience)
        return agent

    def testEpsilonGreedy(self, moduleDict, tolerance=0.025):
        agent = self.runAgent(moduleDict)
        for state in self.grid.getStates():
            numLegalActions = len(agent.getLegalActions(state))
            if numLegalActions <= 1:
                continue
            numGreedyChoices = 0
            optimalAction = agent.computeActionFromQValues(state)
            for iteration in range(self.numIterations):
                # assume that their computeActionFromQValues implementation is correct (q4 tests this)
                if agent.getAction(state) == optimalAction:
                    numGreedyChoices += 1
            # e = epsilon, g = # greedy actions, n = numIterations, k = numLegalActions
            # g = n * [(1-e) + e/k] -> e = (n - g) / (n - n/k)
            empiricalEpsilonNumerator = self.numIterations - numGreedyChoices
            empiricalEpsilonDenominator = self.numIterations - self.numIterations / float(numLegalActions)
            empiricalEpsilon = empiricalEpsilonNumerator / empiricalEpsilonDenominator
            error = abs(empiricalEpsilon - self.epsilon)
            if error > tolerance:
                self.addMessage("Epsilon-greedy action selection is not correct.")
                self.addMessage("Actual epsilon = %f; student empirical epsilon = %f; error = %f > tolerance = %f" % (self.epsilon, empiricalEpsilon, error, tolerance))
                return False
        return True


### q8
class Question8Test(testClasses.TestCase):

    def __init__(self, question, testDict):
        super(Question8Test, self).__init__(question, testDict)

    def execute(self, grades, moduleDict, solutionDict):
        studentSolution = moduleDict['analysis'].question8()
        studentSolution = str(studentSolution).strip().lower()
        hashedSolution = sha1(studentSolution.encode('utf-8')).hexdigest()
        if hashedSolution == '46729c96bb1e4081fdc81a8ff74b3e5db8fba415':
            return self.testPass(grades)
        else:
            self.addMessage("Solution is not correct.")
            self.addMessage("   Student solution: %s" % (studentSolution,))
            return self.testFail(grades)

    def writeSolution(self, moduleDict, filePath):
        handle = open(filePath, 'w')
        handle.write('# This is the solution file for %s.\n' % self.path)
        handle.write('# File intentionally blank.\n')
        handle.close()
        return True


### q7/q8
### =====
## Average wins of a pacman agent

class EvalAgentTest(testClasses.TestCase):

    def __init__(self, question, testDict):
        super(EvalAgentTest, self).__init__(question, testDict)
        self.pacmanParams = testDict['pacmanParams']

        self.scoreMinimum = int(testDict['scoreMinimum']) if 'scoreMinimum' in testDict else None
        self.nonTimeoutMinimum = int(testDict['nonTimeoutMinimum']) if 'nonTimeoutMinimum' in testDict else None
        self.winsMinimum = int(testDict['winsMinimum']) if 'winsMinimum' in testDict else None

        self.scoreThresholds = [int(s) for s in testDict.get('scoreThresholds','').split()]
        self.nonTimeoutThresholds = [int(s) for s in testDict.get('nonTimeoutThresholds','').split()]
        self.winsThresholds = [int(s) for s in testDict.get('winsThresholds','').split()]

        self.maxPoints = sum([len(t) for t in [self.scoreThresholds, self.nonTimeoutThresholds, self.winsThresholds]])


    def execute(self, grades, moduleDict, solutionDict):
        self.addMessage('Grading agent using command:  python pacman.py %s'% (self.pacmanParams,))

        startTime = time.time()
        games = pacman.runGames(** pacman.readCommand(self.pacmanParams.split(' ')))
        totalTime = time.time() - startTime
        numGames = len(games)

        stats = {'time': totalTime, 'wins': [g.state.isWin() for g in games].count(True),
                 'games': games, 'scores': [g.state.getScore() for g in games],
                 'timeouts': [g.agentTimeout for g in games].count(True), 'crashes': [g.agentCrashed for g in games].count(True)}

        averageScore = sum(stats['scores']) / float(len(stats['scores']))
        nonTimeouts = numGames - stats['timeouts']
        wins = stats['wins']

        def gradeThreshold(value, minimum, thresholds, name):
            points = 0
            passed = (minimum == None) or (value >= minimum)
            if passed:
                for t in thresholds:
                    if value >= t:
                        points += 1
            return (passed, points, value, minimum, thresholds, name)

        results = [gradeThreshold(averageScore, self.scoreMinimum, self.scoreThresholds, "average score"),
                   gradeThreshold(nonTimeouts, self.nonTimeoutMinimum, self.nonTimeoutThresholds, "games not timed out"),
                   gradeThreshold(wins, self.winsMinimum, self.winsThresholds, "wins")]

        totalPoints = 0
        for passed, points, value, minimum, thresholds, name in results:
            if minimum == None and len(thresholds)==0:
                continue

            # print passed, points, value, minimum, thresholds, name
            totalPoints += points
            if not passed:
                assert points == 0
                self.addMessage("%s %s (fail: below minimum value %s)" % (value, name, minimum))
            else:
                self.addMessage("%s %s (%s of %s points)" % (value, name, points, len(thresholds)))

            if minimum != None:
                self.addMessage("    Grading scheme:")
                self.addMessage("     < %s:  fail" % (minimum,))
                if len(thresholds)==0 or minimum != thresholds[0]:
                    self.addMessage("    >= %s:  0 points" % (minimum,))
                for idx, threshold in enumerate(thresholds):
                    self.addMessage("    >= %s:  %s points" % (threshold, idx+1))
            elif len(thresholds) > 0:
                self.addMessage("    Grading scheme:")
                self.addMessage("     < %s:  0 points" % (thresholds[0],))
                for idx, threshold in enumerate(thresholds):
                    self.addMessage("    >= %s:  %s points" % (threshold, idx+1))

        if any([not passed for passed, _, _, _, _, _ in results]):
            totalPoints = 0

        return self.testPartial(grades, totalPoints, self.maxPoints)

    def writeSolution(self, moduleDict, filePath):
        with open(filePath, 'w') as handle:
            handle.write('# This is the solution file for %s.\n' % self.path)
            handle.write('# File intentionally blank.\n')
        return True




### q2/q3
### =====
## For each parameter setting, compute the optimal policy, see if it satisfies some properties

def followPath(policy, start, numSteps=100):
    state = start
    path = []
    for i in range(numSteps):
        if state not in policy:
            break
        action = policy[state]
        path.append("(%s,%s)" % state)
        if action == 'north': nextState = state[0],state[1]+1
        if action == 'south': nextState = state[0],state[1]-1
        if action == 'east': nextState = state[0]+1,state[1]
        if action == 'west': nextState = state[0]-1,state[1]
        if action == 'exit' or action == None:
            path.append('TERMINAL_STATE')
            break
        state = nextState

    return path

def parseGrid(string):
    grid = [[entry.strip() for entry in line.split()] for line in string.split('\n')]
    for row in grid:
        for x, col in enumerate(row):
            try:
                col = int(col)
            except:
                pass
            if col == "_":
                col = ' '
            row[x] = col
    return gridworld.makeGrid(grid)


def computePolicy(moduleDict, grid, discount):
    valueIterator = moduleDict['valueIterationAgents'].ValueIterationAgent(grid, discount=discount)
    policy = {}
    for state in grid.getStates():
        policy[state] = valueIterator.computeActionFromValues(state)
    return policy



class GridPolicyTest(testClasses.TestCase):

    def __init__(self, question, testDict):
        super(GridPolicyTest, self).__init__(question, testDict)

        # Function in module in analysis that returns (discount, noise)
        self.parameterFn = testDict['parameterFn']
        self.question2 = testDict.get('question2', 'false').lower() == 'true'

        # GridWorld specification
        #    _ is empty space
        #    numbers are terminal states with that value
        #    # is a wall
        #    S is a start state
        #
        self.gridText = testDict['grid']
        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
        self.gridName = testDict['gridName']

        # Policy specification
        #    _                  policy choice not checked
        #    N, E, S, W policy action must be north, east, south, west
        #
        self.policy = parseGrid(testDict['policy'])

        # State the most probable path must visit
        #    (x,y) for a particular location; (0,0) is bottom left
        #    terminal for the terminal state
        self.pathVisits = testDict.get('pathVisits', None)

        # State the most probable path must not visit
        #    (x,y) for a particular location; (0,0) is bottom left
        #    terminal for the terminal state
        self.pathNotVisits = testDict.get('pathNotVisits', None)


    def execute(self, grades, moduleDict, solutionDict):
        if not hasattr(moduleDict['analysis'], self.parameterFn):
            self.addMessage('Method not implemented: analysis.%s' % (self.parameterFn,))
            return self.testFail(grades)

        result = getattr(moduleDict['analysis'], self.parameterFn)()

        if type(result) == str and result.lower()[0:3] == "not":
            self.addMessage('Actually, it is possible!')
            return self.testFail(grades)

        if self.question2:
            livingReward = None
            try:
                discount, noise = result
                discount = float(discount)
                noise = float(noise)
            except:
                self.addMessage('Did not return a (discount, noise) pair; instead analysis.%s returned: %s' % (self.parameterFn, result))
                return self.testFail(grades)
            if discount != 0.9 and noise != 0.2:
                self.addMessage('Must change either the discount or the noise, not both. Returned (discount, noise) = %s' % (result,))
                return self.testFail(grades)
        else:
            try:
                discount, noise, livingReward = result
                discount = float(discount)
                noise = float(noise)
                livingReward = float(livingReward)
            except:
                self.addMessage('Did not return a (discount, noise, living reward) triple; instead analysis.%s returned: %s' % (self.parameterFn, result))
                return self.testFail(grades)

        self.grid.setNoise(noise)
        if livingReward != None:
            self.grid.setLivingReward(livingReward)

        start = self.grid.getStartState()
        policy = computePolicy(moduleDict, self.grid, discount)

        ## check policy
        actionMap = {'N': 'north', 'E': 'east', 'S': 'south', 'W': 'west', 'X': 'exit'}
        width, height = self.policy.width, self.policy.height
        policyPassed = True
        for x in range(width):
            for y in range(height):
                if self.policy[x][y] in actionMap and policy[(x,y)] != actionMap[self.policy[x][y]]:
                    differPoint = (x,y)
                    policyPassed = False

        if not policyPassed:
            self.addMessage('Policy not correct.')
            self.addMessage('    Student policy at %s: %s' % (differPoint, policy[differPoint]))
            self.addMessage('    Correct policy at %s: %s' % (differPoint, actionMap[self.policy[differPoint[0]][differPoint[1]]]))
            self.addMessage('    Student policy:')
            self.printPolicy(policy, False)
            self.addMessage("        Legend:  N,S,E,W at states which move north etc, X at states which exit,")
            self.addMessage("                 . at states where the policy is not defined (e.g. walls)")
            self.addMessage('    Correct policy specification:')
            self.printPolicy(self.policy, True)
            self.addMessage("        Legend:  N,S,E,W for states in which the student policy must move north etc,")
            self.addMessage("                 _ for states where it doesn't matter what the student policy does.")
            self.printGridworld()
            return self.testFail(grades)

        ## check path
        path = followPath(policy, self.grid.getStartState())

        if self.pathVisits != None and self.pathVisits not in path:
            self.addMessage('Policy does not visit state %s when moving without noise.' % (self.pathVisits,))
            self.addMessage('    States visited: %s' % (path,))
            self.addMessage('    Student policy:')
            self.printPolicy(policy, False)
            self.addMessage("        Legend:  N,S,E,W at states which move north etc, X at states which exit,")
            self.addMessage("                 . at states where policy not defined")
            self.printGridworld()
            return self.testFail(grades)

        if self.pathNotVisits != None and self.pathNotVisits in path:
            self.addMessage('Policy visits state %s when moving without noise.' % (self.pathNotVisits,))
            self.addMessage('    States visited: %s' % (path,))
            self.addMessage('    Student policy:')
            self.printPolicy(policy, False)
            self.addMessage("        Legend:  N,S,E,W at states which move north etc, X at states which exit,")
            self.addMessage("                 . at states where policy not defined")
            self.printGridworld()
            return self.testFail(grades)

        return self.testPass(grades)

    def printGridworld(self):
        self.addMessage('    Gridworld:')
        for line in self.gridText.split('\n'):
            self.addMessage('     ' + line)
        self.addMessage('        Legend: # wall, _ empty, S start, numbers terminal states with that reward.')

    def printPolicy(self, policy, policyTypeIsGrid):
        if policyTypeIsGrid:
            legend = {'N': 'N', 'E': 'E', 'S': 'S', 'W': 'W', ' ': '_', 'X': 'X', '.': '.'}
        else:
            legend = {'north': 'N', 'east': 'E', 'south': 'S', 'west': 'W', 'exit': 'X', '.': '.', ' ': '_'}

        for ybar in range(self.grid.grid.height):
            y = self.grid.grid.height-1-ybar
            if policyTypeIsGrid:
                self.addMessage("        %s" % ("    ".join([legend[policy[x][y]] for x in range(self.grid.grid.width)]),))
            else:
                self.addMessage("        %s" % ("    ".join([legend[policy.get((x,y), '.')]  for x in range(self.grid.grid.width)]),))
        # for state in sorted(self.grid.getStates()):
        #     if state != 'TERMINAL_STATE':
        #         self.addMessage('      (%s,%s) %s' % (state[0], state[1], policy[state]))


    def writeSolution(self, moduleDict, filePath):
        with open(filePath, 'w') as handle:
            handle.write('# This is the solution file for %s.\n' % self.path)
            handle.write('# File intentionally blank.\n')
        return True