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AbstractGridWorld.m
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AbstractGridWorld.m
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classdef AbstractGridWorld < rl.env.AbstractMDP
%GridWorld Creates a grid world
% env = rl.env.GridWorld(m,n)
%
% Copyright 2018-2019 The MathWorks, Inc.
properties (SetAccess = immutable)
% GridSize
% [m,n] vector where m and n are the number of rows and columns of
% the grid world, respectively.
GridSize
end
%% Dependent Properties
properties (Dependent)
% CurrentState
% String with name of current state
CurrentState string
% States
% String vector of the state names
States string
% Actions
% String vector with the action names
Actions string
% T
% State Transisition Matrix T(s,s',a) = P(s'|s,a)
T
% R
% Reward Transisition Matrix r = R(s,s',a)
R
% ObstacleStates
% String vector with the state names which can not be reached in
% the grid world.
ObstacleStates string
% TerminalStates
% String vector with the state names which are terminal in the grid
% world.
TerminalStates string
end
%% Protected Properties
properties (Access = protected)
% Obstacle states of the MDP
ObstacleStates_ = string.empty(0,1)
end
%% Hidden Properties
properties (Hidden=true)
% Border
% True if edges moves are not allowed
Border = true;
% Handle to the GridWorldVisualizer
Viewer
end
%% Public Methods
methods
function obj = AbstractGridWorld(m,n,Moves)
% GridWorld Construct an m by n grid world with m rows and n
% columns
narginchk(2,3)
if ~isnumeric(m) || ~isnumeric(n) || (rem(m,1) ~= 0) || (rem(n,1) ~= 0)
% REVISIT
error(message('rl:env:GWValidGridDims'))
end
if (nargin) == 2
% Define action space
Actions = ["N";"S";"E";"W"];
else
if strcmpi(Moves,'Standard')
Actions = ["N";"S";"E";"W"];
elseif strcmpi(Moves,'Kings')
Actions = ["N";"S";"E";"W";"NE";"NW";"SE";"SW"];
else
error(message('rl:env:GWValidMovesInput'))
end
end
% Define state names
StateNames = rl.env.GridWorld.createStateNames(m,n);
% Call super-constructor
obj = [email protected](StateNames,Actions);
% Cache grid size
obj.GridSize = [m,n];
% Initialize state transition matrix
initializeStateTransitions(obj)
end
function T = getStateTransition(obj,Actions)
% Get state transisition matrix
% T = getStateTransition(obj)
% T = getStateTransition(obj,Action)
if nargin == 1
T = getStateTransition_(obj);
else
T = getStateTransition_(obj,Actions);
end
end
function RT = getRewardTransition(obj,Action)
if nargin == 1
RT = getRewardTransition_(obj);
else
RT = getRewardTransition_(obj,Action);
end
end
function [S,R,isTerm,loggedsig] = move(obj,Action)
S0 = obj.CurrentState;
if isValidAction(obj,S0,Action)
[S,R,isTerm] = move_(obj,Action);
else
error(message('rl:env:MDPInvalidAction'));
end
loggedsig = [];
end
function showViewer(obj)
% showViewer(env) opens the GridWorld Viewer
obj.Viewer = rl.env.GridWorldVisualizer(obj.GridSize,[]);
setTerminalStates(obj.Viewer,obj.TerminalStates)
setObstacles(obj.Viewer,obj.ObstacleStates)
updateViewer(obj)
addlistener(obj,'CurrentStateChanged',@(es,ed) updateViewer(obj));
end
function updateViewer(obj)
CS = obj.CurrentState_;
CS = regexprep(regexprep(CS,"("',"["),")","]");
obj.Viewer.setCurrentState(eval(CS));
end
function updateStateTranstionForObstacles(obj)
ST = obj.StateTransitions_;
m = obj.GridSize(1);
n = obj.GridSize(2);
for ct = 1:numel(obj.ObstacleStates)
% Obstacle
idxO = state2idx(obj,obj.ObstacleStates(ct));
% N Action
idxAct = 1;
idxS1 = find(ST(:,idxO,idxAct));
for ct1 = 1:numel(idxS1)
if idxO+1 < m*n
ST(idxS1(ct1),idxO+1,idxAct) = ...
ST(idxS1(ct1),idxO+1,idxAct) + ST(idxS1(ct1),idxO,idxAct);
ST(idxS1(ct1),idxO,idxAct) = 0;
end
end
% S Action
idxAct = 2;
idxS1 = find(ST(:,idxO,idxAct));
for ct1 = 1:numel(idxS1)
if idxO-1 > 0
ST(idxS1(ct1),idxO-1,idxAct) = ...
ST(idxS1(ct1),idxO-1,idxAct) + ST(idxS1(ct1),idxO,idxAct);
ST(idxS1(ct1),idxO,idxAct) = 0;
end
end
% E Action
idxAct = 3;
idxS1 = find(ST(:,idxO,idxAct));
for ct1 = 1:numel(idxS1)
if idxO-m > 0
ST(idxS1(ct1),idxO-m,idxAct) = ...
ST(idxS1(ct1),idxO-m,idxAct) + ST(idxS1(ct1),idxO,idxAct);
ST(idxS1(ct1),idxO,idxAct) = 0;
end
end
% W Action
idxAct = 4;
idxS1 = find(ST(:,idxO,idxAct));
for ct1 = 1:numel(idxS1)
if idxO+m < m*n
ST(idxS1(ct1),idxO+m,idxAct) = ...
ST(idxS1(ct1),idxO+m,idxAct) + ST(idxS1(ct1),idxO,idxAct);
ST(idxS1(ct1),idxO,idxAct) = 0;
end
end
end
obj.StateTransitions_=ST;
end
function State = reset(obj,State)
if nargin == 1
State = getRandomInitialState(obj);
else
PotentialStates = setdiff(obj.States,obj.ObstacleStates);
PotentialStates = setdiff(PotentialStates,obj.TerminalStates);
if ~ismember(State, PotentialStates)
% REVISIT do we want to change wording of error message
error(message('rl:env:MDPInvalidState'))
end
end
obj.CurrentState = State;
end
end
%% Set/Get Methods
methods
% CurrentState
function set.CurrentState(obj,State)
% Set Current State
% Validate that its a valid state and not an obstacle state
obj.CurrentState_ = State;
end
function State = get.CurrentState(obj)
% Get Current State
State = obj.CurrentState_;
end
% States
function set.States(obj,States)
% Set States
% REVISIT
error(message('rl:env:GWCannotSetStates'))
end
function States = get.States(obj)
% Get States
States = obj.States_;
end
% Actions
function set.Actions(obj,Actions)
% Set Actions
% REVISIT
error(message('rl:env:GWCannotSetActions'))
end
function Actions = get.Actions(obj)
% Get Actions
Actions = obj.Actions_;
end
% T
function T = get.T(obj)
% Get T
T = getStateTransition(obj);
end
function set.T(obj,T)
% Set T
validateT(obj,T)
setStateTransition_(obj,T);
end
%R
function R = get.R(obj)
% Get R
R = getRewardTransition(obj);
end
function set.R(obj,R)
% Set R
validateR(obj,R)
setRewardTransition_(obj,R);
end
% ObstacleStates
function set.ObstacleStates(obj,StateNames)
for ct = 1:numel(StateNames)
if isTerminalState(obj,StateNames(ct)) || ~isState(obj,StateNames(ct))
% REVISIT
error(message('rl:env:GWInvalidObstacleState'))
end
end
obj.ObstacleStates_ = unique(StateNames);
end
function ObstacleStates = get.ObstacleStates(obj)
ObstacleStates = obj.ObstacleStates_;
end
% TerminalStates
function set.TerminalStates(obj,StateNames)
for ct = 1:numel(StateNames)
if isObstacleState(obj,StateNames(ct)) || ~isState(obj,StateNames(ct))
% REVISIT
error(message('rl:env:GWInvalidTerminalState'))
end
end
obj.TerminalStates_ = unique(StateNames);
end
function TeriminalState = get.TerminalStates(obj)
TeriminalState = obj.TerminalStates_;
end
end
%% Protected Methods
methods (Access = protected)
function initializeStateTransitions(obj)
for ct = 1:numel(obj.Actions_)
ActionName = obj.Actions_(ct);
ST = createStateTransition(obj,ActionName);
setStateTransition_(obj,ST,ActionName)
end
end
function ST = createStateTransition(obj,Action)
m = obj.GridSize(1);
n = obj.GridSize(2);
ST = zeros(m*n,m*n);
switch Action
case "N"
% Move North
for c = 1:n
r = 1;
if obj.Border
ST(r+(c-1)*m,r+(c-1)*m) = 1;
else
ST(r+(c-1)*m,c*m) = 1;
end
for r = 2:m
ST(r+(c-1)*m,(r-1)+(c-1)*m) = 1;
end
end
case "S"
% Move South
for c = 1:n
for r = 1:m-1
ST(r+(c-1)*m,(r+1)+(c-1)*m) = 1;
end
r = m;
if obj.Border
ST(r+(c-1)*m,r+(c-1)*m) = 1;
else
ST(c*m,1+(c-1)*m) = 1;
end
end
case "E"
% Move East
for r = 1:m
for c = 1:n-1
ST(r+(c-1)*m,r+(c+0)*m) = 1;
end
c = n;
if obj.Border
ST(r+(c-1)*m,r+(c-1)*m) = 1;
else
ST(r+(c-1)*m,r) = 1;
end
end
case "W"
% Move West
for r = 1:m
c = 1;
if obj.Border
ST(r,r) = 1;
else
ST(r,r+(n-1)*m) = 1;
end
for c = 2:n
ST(r+(c-1)*m,r+(c-2)*m) = 1;
end
end
case "NW"
% Move North West
for c = 2:n
for r = 2:m
ST(r+(c-1)*m,(r-1)+(c-2)*m) = 1;
end
end
if obj.Border
for c = 1:n %N
r = 1;
ST(r+(c-1)*m,r+(c-1)*m) = 1;
end
for r = 1:m %W
ST(r,r) = 1;
end
end
case "SW"
% Move South West
for c = 2:n
for r = 1:m-1
ST(r+(c-1)*m,(r+1)+(c-2)*m) = 1;
end
end
if obj.Border
for c = 1:n %S
r = m;
ST(r+(c-1)*m,r+(c-1)*m) = 1;
end
for r = 1:m %W
ST(r,r) = 1;
end
end
case "NE"
% Move North East
for c = 1:n-1
for r = 2:m
ST(r+(c-1)*m,(r-1)+(c+0)*m) = 1;
end
end
if obj.Border
for c = 1:n %N
r = 1;
ST(r+(c-1)*m,r+(c-1)*m) = 1;
end
for r = 1:m %E
c = n;
ST(r+(c-1)*m,r+(c-1)*m) = 1;
end
end
case "SE"
% Move South East
for c = 1:n-1
for r = 1:m-1
ST(r+(c-1)*m,(r+1)+(c+0)*m) = 1;
end
end
if obj.Border
for c = 1:n %S
r = m;
ST(r+(c-1)*m,r+(c-1)*m) = 1;
end
for r = 1:m %E
c = n;
ST(r+(c-1)*m,r+(c-1)*m) = 1;
end
end
end
end
function b = isObstacleState(obj,State)
% Check if State is an ObstacleState
b = any(strcmp(State, obj.ObstacleStates));
end
function State = getRandomInitialState(obj)
% get random initial state that is not an obstacle or terminal
% state
PotentialStates = setdiff(setdiff(obj.States,obj.ObstacleStates),obj.TerminalStates);
% Randomly select one of the potential states
State = PotentialStates(randi(numel(PotentialStates)));
end
end
%% Static Methods
methods (Static = true)
function Names = createStateNames(m,n)
% Create array of state name "[m,n]"
Names = "";
ct = 1;
for ct1 = 1:n
for ct2 = 1:m
Names(ct,1) = sprintf("[%d,%d]",ct2,ct1);
ct = ct+1;
end
end
end
end
end