!pip install aicrowd-cli > /dev/null

import os
from matplotlib import pyplot as plt
AICROWD_DATASET_PATH = os.getenv("DATASET_PATH", os.getcwd()+"/13d77bb0-b325-4e95-a03b-833eb6694acd_a2_taxi_inputs.zip")
AICROWD_RESULTS_DIR = os.getenv("OUTPUTS_DIR", "results")

!unzip $AICROWD_DATASET_PATH

DATASET_DIR = 'inputs/'

import numpy as np

class TaxiEnv_HW2:
    def __init__(self, states, actions, probabilities, rewards, initial_policy):
        self.possible_states = states
        self._possible_actions = {st: ac for st, ac in zip(states, actions)}
        self._ride_probabilities = {st: pr for st, pr in zip(states, probabilities)}
        self._ride_rewards = {st: rw for st, rw in zip(states, rewards)}
        self.initial_policy = initial_policy
        self._verify()

    def _check_state(self, state):
        assert state in self.possible_states, "State %s is not a valid state" % state

    def _verify(self):
        """ 
        Verify that data conditions are met:
        Number of actions matches shape of next state and actions
        Every probability distribution adds up to 1 
        """
        ns = len(self.possible_states)
        for state in self.possible_states:
            ac = self._possible_actions[state]
            na = len(ac)

            rp = self._ride_probabilities[state]
            assert np.all(rp.shape == (na, ns)), "Probabilities shape mismatch"
        
            rr = self._ride_rewards[state]
            assert np.all(rr.shape == (na, ns)), "Rewards shape mismatch"

            assert np.allclose(rp.sum(axis=1), 1), "Probabilities don't add up to 1"

    def possible_actions(self, state):
        """ Return all possible actions from a given state """
        self._check_state(state)
        return self._possible_actions[state]

    def ride_probabilities(self, state, action):
        """ 
        Returns all possible ride probabilities from a state for a given action
        For every action a list with the returned with values in the same order as self.possible_states
        """
        actions = self.possible_actions(state)
        ac_idx = actions.index(action)
        return self._ride_probabilities[state][ac_idx]

    def ride_rewards(self, state, action):
        actions = self.possible_actions(state)
        ac_idx = actions.index(action)
        return self._ride_rewards[state][ac_idx]

def check_taxienv():
    # These are the values as used in the pdf, but they may be changed during submission, so do not hardcode anything

    states = ['A', 'B', 'C']

    actions = [['1','2','3'], ['1','2'], ['1','2','3']]

    probs = [np.array([[1/2,  1/4,  1/4],
                    [1/16, 3/4,  3/16],
                    [1/4,  1/8,  5/8]]),

            np.array([[1/2,   0,     1/2],
                    [1/16,  7/8,  1/16]]),

            np.array([[1/4,  1/4,  1/2],
                    [1/8,  3/4,  1/8],
                    [3/4,  1/16, 3/16]]),]

    rewards = [np.array([[10,  4,  8],
                        [ 8,  2,  4],
                        [ 4,  6,  4]]),

            np.array([[14,  0, 18],
                        [ 8, 16,  8]]),

            np.array([[10,  2,  8],
                        [6,   4,  2],
                        [4,   0,  8]]),]
    initial_policy = {'A': '1', 'B': '1', 'C': '1'}

    env = TaxiEnv_HW2(states, actions, probs, rewards, initial_policy)
    print("All possible states", env.possible_states)
    print("All possible actions from state B", env.possible_actions('B'))
    print("Ride probabilities from state A with action 2", env.ride_probabilities('A', '2'))
    print("Ride rewards from state C with action 3", env.ride_rewards('C', '3'))

    base_kwargs = {"states": states, "actions": actions, 
                "probabilities": probs, "rewards": rewards,
                "initial_policy": initial_policy}
    return base_kwargs

base_kwargs = check_taxienv()
env = TaxiEnv_HW2(**base_kwargs)

# 1.1 Policy Iteration
def policy_iteration(taxienv, gamma):
    # A list of all the states
    states = taxienv.possible_states
    # Initial values
    values = {s: 0 for s in states}

    # This is a dictionary of states to policies -> e.g {'A': '1', 'B': '2', 'C': '1'}
    policy = taxienv.initial_policy.copy()

    ## Begin code here
    # Hints - 
    # Do not hardcode anything
    # Only the final result is required for the results
    # Put any extra data in "extra_info" dictonary for any plots etc
    # Use the helper functions taxienv.ride_rewards, taxienv.ride_probabilities,  taxienv.possible_actions
    # For terminating condition use the condition exactly mentioned in the pdf
    actions=taxienv._possible_actions
    ride_probs=taxienv._ride_probabilities
    ride_rewds=taxienv._ride_rewards
    done,time_local,time_global,unequal_policy=0,0,0,0
    extra_info = {}
    extra_info['time_local'],extra_info['time_global'],extra_info['delta'],extra_info['unequal_policy']=[],[],[],[]
    while(done==0):
        time_global+=1
        delta=1e-8
        while(delta>=1e-8):
            time_local+=1
            delta=0
            for state in states:
                j=values[state]
                action=policy[state]
                index=actions[state].index(action)
                ride_prob=ride_probs[state][index]
                ride_rewd=ride_rewds[state][index]
                values_=np.array(list(values.values()))
                values[state]=sum(ride_prob*(ride_rewd+gamma*values_))  #sum(taxienv.ride_probabilities(state,action)*(env.ride_rewards(state,action)+gamma*np.array(list(values.values()))))
                delta=max(delta,abs(j-values[state]))
            extra_info['delta'].append(delta)
        extra_info['time_local'].append(time_local)
        time_local=0
        done=1
        for state in states:
            b=policy[state]
            t_j=[]
            for action in actions[state]:
                index=actions[state].index(action)
                ride_prob=ride_probs[state][index]
                ride_rewd=ride_rewds[state][index]
                values_=np.array(list(values.values()))
                t_j.append(sum(ride_prob*(ride_rewd+gamma*values_)))
            policy[state]=actions[state][np.argmax(np.array(t_j))]
            if b!=policy[state]:
                done=0
                if len(extra_info['unequal_policy'])<time_global:
                    extra_info['unequal_policy'].append(0)
                extra_info['unequal_policy'][time_global-1]+=1
    extra_info['time_global'].append(time_global)
    ## Do not edit below this line

    # Final results
    return {"Expected Reward": values, "Policy": policy}, extra_info

def run_policy_iteration(env):
    gamma_values = np.arange(5, 100, 5)/100
    results, extra_info = {}, {}
    for gamma in gamma_values:
        results[gamma], extra_info[gamma] = policy_iteration(env, gamma)
    return results, extra_info

results, extra_info = run_policy_iteration(env)

# 1.3 Modified Policy Iteration
def modified_policy_iteration(taxienv, gamma, m):
    # A list of all the states
    states = taxienv.possible_states
    # Initial values
    values = {s: 0 for s in states}

    # This is a dictionary of states to policies -> e.g {'A': '1', 'B': '2', 'C': '1'}
    policy = taxienv.initial_policy.copy()

    ## Begin code here
    # Hints - 
    # Do not hardcode anything
    # Only the final result is required for the results
    # Put any extra data in "extra_info" dictonary for any plots etc
    # Use the helper functions taxienv.ride_rewards, taxienv.ride_probabilities,  taxienv.possible_actions
    # For terminating condition use the condition exactly mentioned in the pdf
    actions=taxienv._possible_actions
    ride_probs=taxienv._ride_probabilities
    ride_rewds=taxienv._ride_rewards
    done,time_local,time_global,unequal_policy=0,0,0,0
    extra_info = {}
    extra_info['time_local'],extra_info['time_global'],extra_info['unequal_policy']=[],[],[]
    while(done==0):
        time_global+=1
        for z in range(m+1):
            time_local+=1
            h={}
            for state in states:
                action=policy[state]
                index=actions[state].index(action)
                ride_prob=ride_probs[state][index]
                ride_rewd=ride_rewds[state][index]
                values_=np.array(list(values.values()))
                h[state]=sum(ride_prob*(ride_rewd+gamma*values_))
            values=h.copy()
        extra_info['time_local'].append(time_local)
        time_local=0
        done=1
        for state in states:
            b=policy[state]
            t_j=[]
            for action in actions[state]:
                index=actions[state].index(action)
                ride_prob=ride_probs[state][index]
                ride_rewd=ride_rewds[state][index]
                values_=np.array(list(values.values()))
                t_j.append(sum(ride_prob*(ride_rewd+gamma*values_)))
            policy[state]=actions[state][np.argmax(np.array(t_j))]
            if b!=policy[state]:
                done=0
                if len(extra_info['unequal_policy'])<time_global:
                    extra_info['unequal_policy'].append(0)
                extra_info['unequal_policy'][time_global-1]+=1
    extra_info['time_global'].append(time_global)
    ## Do not edit below this line


    # Final results
    return {"Expected Reward": values, "Policy": policy}, extra_info

def run_modified_policy_iteration(env):
    m_values = np.arange(1, 15)
    gamma = 0.9
    results, extra_info = {}, {}
    for m in m_values:
        results[m], extra_info[m] = modified_policy_iteration(env, gamma, m)
    return results, extra_info

results, extra_info = run_modified_policy_iteration(env)
#print('modified PI results, extra_info: ',results,extra_info)

# 1.4 Value Iteration
def value_iteration(taxienv, gamma):
    # A list of all the states
    states = taxienv.possible_states
    # Initial values
    values = {s: 0 for s in states}

    # This is a dictionary of states to policies -> e.g {'A': '1', 'B': '2', 'C': '1'}
    policy = taxienv.initial_policy.copy()

    ## Begin code here

    # Hints - 
    # Do not hardcode anything
    # Only the final result is required for the results
    # Put any extra data in "extra_info" dictonary for any plots etc
    # Use the helper functions taxienv.ride_rewards, taxienv.ride_probabilities,  taxienv.possible_actions
    # For terminating condition use the condition exactly mentioned in the pdf
    actions=taxienv._possible_actions
    ride_probs=taxienv._ride_probabilities
    ride_rewds=taxienv._ride_rewards  
    delta,time_global=1e-8,0
    extra_info = {}
    extra_info['time_global'],extra_info['delta']=[],[]
    while(delta>=1e-8):
        time_global+=1
        delta=0
        h={}
        for state in states:
            t_j=[]
            for action in actions[state]:
                index=actions[state].index(action)
                ride_prob=ride_probs[state][index]
                ride_rewd=ride_rewds[state][index]
                values_=np.array(list(values.values()))
                t_j.append(sum(ride_prob*(ride_rewd+gamma*values_)))
            h[state]=max(t_j)
            policy[state]=actions[state][np.argmax(np.array(t_j))]
            delta=max(delta,abs(values[state]-h[state]))
        extra_info['delta'].append(delta)
        values=h.copy()
    extra_info['time_global'].append(time_global)
    ## Do not edit below this line

    # Final results
    return {"Expected Reward": values, "Policy": policy}, extra_info

def run_value_iteration(env):
    gamma_values = np.arange(5, 100, 5)/100
    results = {}
    results, extra_info = {}, {}
    for gamma in gamma_values:
        results[gamma], extra_info[gamma] = value_iteration(env, gamma)
    return results, extra_info
  
results, extra_info = run_value_iteration(env)

# 1.4 Gauss Seidel Value Iteration
def gauss_seidel_value_iteration(taxienv, gamma):
    # A list of all the states
    # For Gauss Seidel Value Iteration - iterate through the values in the same order
    states = taxienv.possible_states

    # Initial values
    values = {s: 0 for s in states}

    # This is a dictionary of states to policies -> e.g {'A': '1', 'B': '2', 'C': '1'}
    policy = taxienv.initial_policy.copy()

    # Hints - 
    # Do not hardcode anything
    # For Gauss Seidel Value Iteration - iterate through the values in the same order as taxienv.possible_states
    # Only the final result is required for the results
    # Put any extra data in "extra_info" dictonary for any plots etc
    # Use the helper functions taxienv.ride_rewards, taxienv.ride_probabilities,  taxienv.possible_actions
    # For terminating condition use the condition exactly mentioned in the pdf
    ## Begin code here

    actions=taxienv._possible_actions
    ride_probs=taxienv._ride_probabilities
    ride_rewds=taxienv._ride_rewards  
    delta,time_global=1e-8,0
    extra_info = {}
    extra_info['time_global'],extra_info['delta']=[],[]
    while(delta>=1e-8):
        time_global+=1
        delta=0
        h={}
        for state in states:
            j=values[state]
            t_j=[]
            for action in actions[state]:
                index=actions[state].index(action)
                ride_prob=ride_probs[state][index]
                ride_rewd=ride_rewds[state][index]
                values_=np.array(list(values.values()))
                t_j.append(sum(ride_prob*(ride_rewd+gamma*values_)))
            values[state]=max(t_j)
            policy[state]=actions[state][np.argmax(np.array(t_j))]
            delta=max(delta,abs(values[state]-j))
        extra_info['delta'].append(delta)
    extra_info['time_global'].append(time_global)
    ## Do not edit below this line

    # Final results
    return {"Expected Reward": values, "Policy": policy}, extra_info

def run_gauss_seidel_value_iteration(env):
    gamma_values = np.arange(5, 100, 5)/100
    results = {}
    results, extra_info = {}, {}
    for gamma in gamma_values:
        results[gamma], extra_info[gamma] = gauss_seidel_value_iteration(env, gamma)
    return results, extra_info

results, extra_info = run_gauss_seidel_value_iteration(env)
'''
###comparing and contrasting value iterations and gauss seidel value iteration###
gamma_values = np.arange(5, 100, 5)/100
for gamma in gamma_values:
    print('vi: ',results1[gamma],extra_info1[gamma])  #1 stands for VI results, extra_info
    print('gsvi: ',results2[gamma],extra_info2[gamma])  #2 stands for GSVI results, extra_info
'''

# Do not edit this cell
def get_results(kwargs):

    taxienv = TaxiEnv_HW2(**kwargs)

    policy_iteration_results = run_policy_iteration(taxienv)[0]
    modified_policy_iteration_results = run_modified_policy_iteration(taxienv)[0]
    value_iteration_results = run_value_iteration(taxienv)[0]
    gs_vi_results = run_gauss_seidel_value_iteration(taxienv)[0]

    final_results = {}
    final_results["policy_iteration"] = policy_iteration_results
    final_results["modifed_policy_iteration"] = modified_policy_iteration_results
    final_results["value_iteration"] = value_iteration_results
    final_results["gauss_seidel_iteration"] = gs_vi_results

    return final_results

# Do not edit this cell, generate results with it as is
if not os.path.exists(AICROWD_RESULTS_DIR):
    os.mkdir(AICROWD_RESULTS_DIR)

for params_file in os.listdir(DATASET_DIR):
  kwargs = np.load(os.path.join(DATASET_DIR, params_file), allow_pickle=True).item()
  results = get_results(kwargs)
  idx = params_file.split('_')[-1][:-4]
  np.save(os.path.join(AICROWD_RESULTS_DIR, 'results_' + idx), results)

# Check your score on the given test cases (There are more private test cases not provided)
target_folder = 'targets'
result_folder = AICROWD_RESULTS_DIR

def check_algo_match(results, targets):
    param_matches = []
    for k in results:
        param_results = results[k]
        param_targets = targets[k]
        policy_match = param_results['Policy'] == param_targets['Policy']
        rv = [v for k, v in param_results['Expected Reward'].items()]
        tv = [v for k, v in param_targets['Expected Reward'].items()]
        rewards_match = np.allclose(rv, tv, rtol=3)
        equal = rewards_match and policy_match
        param_matches.append(equal)
    return np.mean(param_matches)

def check_score(target_folder, result_folder):
    match = []
    for out_file in os.listdir(result_folder):
        res_file = os.path.join(result_folder, out_file)
        results = np.load(res_file, allow_pickle=True).item()
        idx = out_file.split('_')[-1][:-4]  # Extract the file number
        target_file = os.path.join(target_folder, f"targets_{idx}.npy")
        targets = np.load(target_file, allow_pickle=True).item()
        algo_match = []
        for k in targets:
            algo_results = results[k]
            algo_targets = targets[k]
            algo_match.append(check_algo_match(algo_results, algo_targets))
        match.append(np.mean(algo_match))
    return np.mean(match)

if os.path.exists(target_folder):
    print("Shared data Score (normalized to 1):", check_score(target_folder, result_folder))

## Visualize policy iteration with multiple values of gamma
#'results', 'extra_info' variables here stand for the outputs from 'policy iteraton' (1.2) and not others (as they also have same variable names)
#So, run the below commented section just after running 'policy iteration' (Task 1) for multiple values of gamma 
'''
gamma_values = np.arange(5, 100, 5)/100
local_time,global_time,delta=[],[],[]
values=[]
twos=[]
for gamma in gamma_values:
    local_time.append(extra_info[gamma]['time_local'][-1])
    global_time.append(extra_info[gamma]['time_global'][-1])
    delta.append(extra_info[gamma]['delta'][-1])
    values.append(list(results[gamma]["Expected Reward"].values()))
    twos.append(list(results[gamma]["Policy"].values()).count('2'))
plt.plot(gamma_values,local_time)
plt.xlabel('gamma values')
plt.ylabel('No. of iterations for inner (delta<1e-8) loop')
plt.title('gamma vs no. of inner loop iterations')
plt.show()

plt.plot(gamma_values,global_time)
plt.xlabel('gamma values')
plt.ylabel('No. of iterations for outer (done) loop')
plt.title('gamma vs no. of outer loop iterations')
plt.show()

for i in range(len(gamma_values)):
    plt.plot(['A','B','C'],values[i],label=gamma_values[i])
plt.xlabel('gamma values')
plt.ylabel('Cummulative values for 3 states: A, B, C')
plt.title('gamma vs expected values')
plt.legend(loc="upper right")
plt.show()


plt.plot(delta)
plt.xlabel('gamma*no. of iterations')
plt.ylabel('delta')
plt.title('delta vs multiple iterations of different gamma')
plt.show()

plt.plot(gamma_values,twos)
plt.xlabel('gamma')
plt.ylabel('no. of states (out of 3) with action 2')
plt.title('no. of states with action 2 vs gamma')
plt.show()
'''

!DATASET_PATH=$AICROWD_DATASET_PATH aicrowd notebook submit -c iit-m-rl-assignment-2-taxi -a assets
#!DATASET_PATH=$AICROWD_DATASET_PATH aicrowd notebook submit --no-verify -c iit-m-rl-assignment-2-taxi -a assets