Bidirectional iterative deepening pathfinding algorithm in Java











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Introduction



I have this iterative deepening search algorithm. The main "research" attempt was to find out a bidirectional version of that search, and it turned out to be superior compared to two other ID algorithms. The code I would like to get reviewed is as follows:



package net.coderodde.libid.support;

import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Deque;
import java.util.HashSet;
import java.util.List;
import java.util.Set;
import net.coderodde.libid.NodeExpander;

public final class BidirectionalIterativeDeepeningDepthFirstSearch<N> {

private final N source;
private final Deque<N> backwardSearchStack;
private final Set<N> frontier;
private final NodeExpander<N> forwardExpander;
private final NodeExpander<N> backwardExpander;

public BidirectionalIterativeDeepeningDepthFirstSearch() {
this.source = null;
this.backwardSearchStack = null;
this.frontier = null;
this.forwardExpander = null;
this.backwardExpander = null;
}

private BidirectionalIterativeDeepeningDepthFirstSearch(
N source,
NodeExpander<N> forwardExpander,
NodeExpander<N> backwardExpander) {
this.source = source;
this.backwardSearchStack = new ArrayDeque<>();
this.frontier = new HashSet<>();
this.forwardExpander = forwardExpander;
this.backwardExpander = backwardExpander;
}

public List<N> search(N source,
N target,
NodeExpander<N> forwardExpander,
NodeExpander<N> backwardExpander) {
// Handle the easy case. We need this in order to terminate the
// recursion in buildPath.
if (source.equals(target)) {
return new ArrayList<>(Arrays.asList(source));
}

BidirectionalIterativeDeepeningDepthFirstSearch<N> state =
new BidirectionalIterativeDeepeningDepthFirstSearch<>(
source,
forwardExpander,
backwardExpander);

for (int depth = 0;; ++depth) {
// Do a depth limited search in forward direction. Put all nodes at
// depth == 0 to the frontier.
state.depthLimitedSearchForward(source, depth);

// Perform a reversed search starting from the target node and
// recurring to the depth 'depth'.
N meetingNode = state.depthLimitedSearchBackward(target, depth);

if (meetingNode != null) {
return state.buildPath(meetingNode);
}

state.backwardSearchStack.clear();

// Perform a reversed search once again with depth = 'depth + 1'.
// We need this in case the shortest path has odd number of arcs.
meetingNode = state.depthLimitedSearchBackward(target, depth + 1);

if (meetingNode != null) {
return state.buildPath(meetingNode);
}

state.backwardSearchStack.clear();
// Wipe out the frontier.
state.frontier.clear();
}
}

private void depthLimitedSearchForward(N node, int depth) {
if (depth == 0) {
frontier.add(node);
return;
}

for (N child : forwardExpander.expand(node)) {
depthLimitedSearchForward(child, depth - 1);
}
}

private N depthLimitedSearchBackward(N node, int depth) {
backwardSearchStack.addFirst(node);

if (depth == 0) {
if (frontier.contains(node)) {
return node;
}

backwardSearchStack.removeFirst();
return null;
}

for (N parent : backwardExpander.expand(node)) {
N meetingNode = depthLimitedSearchBackward(parent, depth - 1);

if (meetingNode != null) {
return meetingNode;
}
}

backwardSearchStack.removeFirst();
return null;
}

private List<N> buildPath(N meetingNode) {
List<N> path = new ArrayList<>();
List<N> prefixPath =
new BidirectionalIterativeDeepeningDepthFirstSearch<N>()
.search(source,
meetingNode,
forwardExpander,
backwardExpander);
path.addAll(prefixPath);
path.remove(path.size() - 1);
path.addAll(backwardSearchStack);
return path;
}
}


Performance figures
You can see something like this:





*** 8-puzzle graph benchmark ***
Seed = 1542379748450
BreadthFirstSearch in 7 milliseconds. Path length: 14
IterativeDeepeningDepthFirstSearch in 162 milliseconds. Path length: 14
BidirectionalIterativeDeepeningDepthFirstSearch in 1 milliseconds. Path length: 14
IterativeDeepeningAStar in 1 milliseconds. Path length: 14
Algorithms agree: true

*** General graph benchmark ***
Seed = 1542379748655
Warming up...
Warming up done!
BidirectionalIterativeDeepeningDepthFirstSearch in 0 milliseconds. Path length: 4
IterativeDeepeningDepthFirstSearch in 26 milliseconds. Path length: 4
BreadthFirstSearch in 4484 milliseconds. Path length: 4



The entire project lives here.










share|improve this question




















  • 1




    "These Three". You only posted BidirectionalIterativeDeepeningDepthFirstSearch. Is that intentional?
    – Vogel612
    Nov 16 at 15:14










  • @Vogel612 My bad. Will fix soon.
    – coderodde
    Nov 16 at 15:18










  • @Vogel612 But there are 3 ID search algos in a GitHub repository.
    – coderodde
    Nov 16 at 15:20






  • 1




    I haven't checked, but that's not really relevant anyways. Only the code posted to Code Review is really up for review. Everything else is just context
    – Vogel612
    Nov 16 at 15:22















up vote
1
down vote

favorite












Introduction



I have this iterative deepening search algorithm. The main "research" attempt was to find out a bidirectional version of that search, and it turned out to be superior compared to two other ID algorithms. The code I would like to get reviewed is as follows:



package net.coderodde.libid.support;

import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Deque;
import java.util.HashSet;
import java.util.List;
import java.util.Set;
import net.coderodde.libid.NodeExpander;

public final class BidirectionalIterativeDeepeningDepthFirstSearch<N> {

private final N source;
private final Deque<N> backwardSearchStack;
private final Set<N> frontier;
private final NodeExpander<N> forwardExpander;
private final NodeExpander<N> backwardExpander;

public BidirectionalIterativeDeepeningDepthFirstSearch() {
this.source = null;
this.backwardSearchStack = null;
this.frontier = null;
this.forwardExpander = null;
this.backwardExpander = null;
}

private BidirectionalIterativeDeepeningDepthFirstSearch(
N source,
NodeExpander<N> forwardExpander,
NodeExpander<N> backwardExpander) {
this.source = source;
this.backwardSearchStack = new ArrayDeque<>();
this.frontier = new HashSet<>();
this.forwardExpander = forwardExpander;
this.backwardExpander = backwardExpander;
}

public List<N> search(N source,
N target,
NodeExpander<N> forwardExpander,
NodeExpander<N> backwardExpander) {
// Handle the easy case. We need this in order to terminate the
// recursion in buildPath.
if (source.equals(target)) {
return new ArrayList<>(Arrays.asList(source));
}

BidirectionalIterativeDeepeningDepthFirstSearch<N> state =
new BidirectionalIterativeDeepeningDepthFirstSearch<>(
source,
forwardExpander,
backwardExpander);

for (int depth = 0;; ++depth) {
// Do a depth limited search in forward direction. Put all nodes at
// depth == 0 to the frontier.
state.depthLimitedSearchForward(source, depth);

// Perform a reversed search starting from the target node and
// recurring to the depth 'depth'.
N meetingNode = state.depthLimitedSearchBackward(target, depth);

if (meetingNode != null) {
return state.buildPath(meetingNode);
}

state.backwardSearchStack.clear();

// Perform a reversed search once again with depth = 'depth + 1'.
// We need this in case the shortest path has odd number of arcs.
meetingNode = state.depthLimitedSearchBackward(target, depth + 1);

if (meetingNode != null) {
return state.buildPath(meetingNode);
}

state.backwardSearchStack.clear();
// Wipe out the frontier.
state.frontier.clear();
}
}

private void depthLimitedSearchForward(N node, int depth) {
if (depth == 0) {
frontier.add(node);
return;
}

for (N child : forwardExpander.expand(node)) {
depthLimitedSearchForward(child, depth - 1);
}
}

private N depthLimitedSearchBackward(N node, int depth) {
backwardSearchStack.addFirst(node);

if (depth == 0) {
if (frontier.contains(node)) {
return node;
}

backwardSearchStack.removeFirst();
return null;
}

for (N parent : backwardExpander.expand(node)) {
N meetingNode = depthLimitedSearchBackward(parent, depth - 1);

if (meetingNode != null) {
return meetingNode;
}
}

backwardSearchStack.removeFirst();
return null;
}

private List<N> buildPath(N meetingNode) {
List<N> path = new ArrayList<>();
List<N> prefixPath =
new BidirectionalIterativeDeepeningDepthFirstSearch<N>()
.search(source,
meetingNode,
forwardExpander,
backwardExpander);
path.addAll(prefixPath);
path.remove(path.size() - 1);
path.addAll(backwardSearchStack);
return path;
}
}


Performance figures
You can see something like this:





*** 8-puzzle graph benchmark ***
Seed = 1542379748450
BreadthFirstSearch in 7 milliseconds. Path length: 14
IterativeDeepeningDepthFirstSearch in 162 milliseconds. Path length: 14
BidirectionalIterativeDeepeningDepthFirstSearch in 1 milliseconds. Path length: 14
IterativeDeepeningAStar in 1 milliseconds. Path length: 14
Algorithms agree: true

*** General graph benchmark ***
Seed = 1542379748655
Warming up...
Warming up done!
BidirectionalIterativeDeepeningDepthFirstSearch in 0 milliseconds. Path length: 4
IterativeDeepeningDepthFirstSearch in 26 milliseconds. Path length: 4
BreadthFirstSearch in 4484 milliseconds. Path length: 4



The entire project lives here.










share|improve this question




















  • 1




    "These Three". You only posted BidirectionalIterativeDeepeningDepthFirstSearch. Is that intentional?
    – Vogel612
    Nov 16 at 15:14










  • @Vogel612 My bad. Will fix soon.
    – coderodde
    Nov 16 at 15:18










  • @Vogel612 But there are 3 ID search algos in a GitHub repository.
    – coderodde
    Nov 16 at 15:20






  • 1




    I haven't checked, but that's not really relevant anyways. Only the code posted to Code Review is really up for review. Everything else is just context
    – Vogel612
    Nov 16 at 15:22













up vote
1
down vote

favorite









up vote
1
down vote

favorite











Introduction



I have this iterative deepening search algorithm. The main "research" attempt was to find out a bidirectional version of that search, and it turned out to be superior compared to two other ID algorithms. The code I would like to get reviewed is as follows:



package net.coderodde.libid.support;

import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Deque;
import java.util.HashSet;
import java.util.List;
import java.util.Set;
import net.coderodde.libid.NodeExpander;

public final class BidirectionalIterativeDeepeningDepthFirstSearch<N> {

private final N source;
private final Deque<N> backwardSearchStack;
private final Set<N> frontier;
private final NodeExpander<N> forwardExpander;
private final NodeExpander<N> backwardExpander;

public BidirectionalIterativeDeepeningDepthFirstSearch() {
this.source = null;
this.backwardSearchStack = null;
this.frontier = null;
this.forwardExpander = null;
this.backwardExpander = null;
}

private BidirectionalIterativeDeepeningDepthFirstSearch(
N source,
NodeExpander<N> forwardExpander,
NodeExpander<N> backwardExpander) {
this.source = source;
this.backwardSearchStack = new ArrayDeque<>();
this.frontier = new HashSet<>();
this.forwardExpander = forwardExpander;
this.backwardExpander = backwardExpander;
}

public List<N> search(N source,
N target,
NodeExpander<N> forwardExpander,
NodeExpander<N> backwardExpander) {
// Handle the easy case. We need this in order to terminate the
// recursion in buildPath.
if (source.equals(target)) {
return new ArrayList<>(Arrays.asList(source));
}

BidirectionalIterativeDeepeningDepthFirstSearch<N> state =
new BidirectionalIterativeDeepeningDepthFirstSearch<>(
source,
forwardExpander,
backwardExpander);

for (int depth = 0;; ++depth) {
// Do a depth limited search in forward direction. Put all nodes at
// depth == 0 to the frontier.
state.depthLimitedSearchForward(source, depth);

// Perform a reversed search starting from the target node and
// recurring to the depth 'depth'.
N meetingNode = state.depthLimitedSearchBackward(target, depth);

if (meetingNode != null) {
return state.buildPath(meetingNode);
}

state.backwardSearchStack.clear();

// Perform a reversed search once again with depth = 'depth + 1'.
// We need this in case the shortest path has odd number of arcs.
meetingNode = state.depthLimitedSearchBackward(target, depth + 1);

if (meetingNode != null) {
return state.buildPath(meetingNode);
}

state.backwardSearchStack.clear();
// Wipe out the frontier.
state.frontier.clear();
}
}

private void depthLimitedSearchForward(N node, int depth) {
if (depth == 0) {
frontier.add(node);
return;
}

for (N child : forwardExpander.expand(node)) {
depthLimitedSearchForward(child, depth - 1);
}
}

private N depthLimitedSearchBackward(N node, int depth) {
backwardSearchStack.addFirst(node);

if (depth == 0) {
if (frontier.contains(node)) {
return node;
}

backwardSearchStack.removeFirst();
return null;
}

for (N parent : backwardExpander.expand(node)) {
N meetingNode = depthLimitedSearchBackward(parent, depth - 1);

if (meetingNode != null) {
return meetingNode;
}
}

backwardSearchStack.removeFirst();
return null;
}

private List<N> buildPath(N meetingNode) {
List<N> path = new ArrayList<>();
List<N> prefixPath =
new BidirectionalIterativeDeepeningDepthFirstSearch<N>()
.search(source,
meetingNode,
forwardExpander,
backwardExpander);
path.addAll(prefixPath);
path.remove(path.size() - 1);
path.addAll(backwardSearchStack);
return path;
}
}


Performance figures
You can see something like this:





*** 8-puzzle graph benchmark ***
Seed = 1542379748450
BreadthFirstSearch in 7 milliseconds. Path length: 14
IterativeDeepeningDepthFirstSearch in 162 milliseconds. Path length: 14
BidirectionalIterativeDeepeningDepthFirstSearch in 1 milliseconds. Path length: 14
IterativeDeepeningAStar in 1 milliseconds. Path length: 14
Algorithms agree: true

*** General graph benchmark ***
Seed = 1542379748655
Warming up...
Warming up done!
BidirectionalIterativeDeepeningDepthFirstSearch in 0 milliseconds. Path length: 4
IterativeDeepeningDepthFirstSearch in 26 milliseconds. Path length: 4
BreadthFirstSearch in 4484 milliseconds. Path length: 4



The entire project lives here.










share|improve this question















Introduction



I have this iterative deepening search algorithm. The main "research" attempt was to find out a bidirectional version of that search, and it turned out to be superior compared to two other ID algorithms. The code I would like to get reviewed is as follows:



package net.coderodde.libid.support;

import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Deque;
import java.util.HashSet;
import java.util.List;
import java.util.Set;
import net.coderodde.libid.NodeExpander;

public final class BidirectionalIterativeDeepeningDepthFirstSearch<N> {

private final N source;
private final Deque<N> backwardSearchStack;
private final Set<N> frontier;
private final NodeExpander<N> forwardExpander;
private final NodeExpander<N> backwardExpander;

public BidirectionalIterativeDeepeningDepthFirstSearch() {
this.source = null;
this.backwardSearchStack = null;
this.frontier = null;
this.forwardExpander = null;
this.backwardExpander = null;
}

private BidirectionalIterativeDeepeningDepthFirstSearch(
N source,
NodeExpander<N> forwardExpander,
NodeExpander<N> backwardExpander) {
this.source = source;
this.backwardSearchStack = new ArrayDeque<>();
this.frontier = new HashSet<>();
this.forwardExpander = forwardExpander;
this.backwardExpander = backwardExpander;
}

public List<N> search(N source,
N target,
NodeExpander<N> forwardExpander,
NodeExpander<N> backwardExpander) {
// Handle the easy case. We need this in order to terminate the
// recursion in buildPath.
if (source.equals(target)) {
return new ArrayList<>(Arrays.asList(source));
}

BidirectionalIterativeDeepeningDepthFirstSearch<N> state =
new BidirectionalIterativeDeepeningDepthFirstSearch<>(
source,
forwardExpander,
backwardExpander);

for (int depth = 0;; ++depth) {
// Do a depth limited search in forward direction. Put all nodes at
// depth == 0 to the frontier.
state.depthLimitedSearchForward(source, depth);

// Perform a reversed search starting from the target node and
// recurring to the depth 'depth'.
N meetingNode = state.depthLimitedSearchBackward(target, depth);

if (meetingNode != null) {
return state.buildPath(meetingNode);
}

state.backwardSearchStack.clear();

// Perform a reversed search once again with depth = 'depth + 1'.
// We need this in case the shortest path has odd number of arcs.
meetingNode = state.depthLimitedSearchBackward(target, depth + 1);

if (meetingNode != null) {
return state.buildPath(meetingNode);
}

state.backwardSearchStack.clear();
// Wipe out the frontier.
state.frontier.clear();
}
}

private void depthLimitedSearchForward(N node, int depth) {
if (depth == 0) {
frontier.add(node);
return;
}

for (N child : forwardExpander.expand(node)) {
depthLimitedSearchForward(child, depth - 1);
}
}

private N depthLimitedSearchBackward(N node, int depth) {
backwardSearchStack.addFirst(node);

if (depth == 0) {
if (frontier.contains(node)) {
return node;
}

backwardSearchStack.removeFirst();
return null;
}

for (N parent : backwardExpander.expand(node)) {
N meetingNode = depthLimitedSearchBackward(parent, depth - 1);

if (meetingNode != null) {
return meetingNode;
}
}

backwardSearchStack.removeFirst();
return null;
}

private List<N> buildPath(N meetingNode) {
List<N> path = new ArrayList<>();
List<N> prefixPath =
new BidirectionalIterativeDeepeningDepthFirstSearch<N>()
.search(source,
meetingNode,
forwardExpander,
backwardExpander);
path.addAll(prefixPath);
path.remove(path.size() - 1);
path.addAll(backwardSearchStack);
return path;
}
}


Performance figures
You can see something like this:





*** 8-puzzle graph benchmark ***
Seed = 1542379748450
BreadthFirstSearch in 7 milliseconds. Path length: 14
IterativeDeepeningDepthFirstSearch in 162 milliseconds. Path length: 14
BidirectionalIterativeDeepeningDepthFirstSearch in 1 milliseconds. Path length: 14
IterativeDeepeningAStar in 1 milliseconds. Path length: 14
Algorithms agree: true

*** General graph benchmark ***
Seed = 1542379748655
Warming up...
Warming up done!
BidirectionalIterativeDeepeningDepthFirstSearch in 0 milliseconds. Path length: 4
IterativeDeepeningDepthFirstSearch in 26 milliseconds. Path length: 4
BreadthFirstSearch in 4484 milliseconds. Path length: 4



The entire project lives here.







java algorithm graph pathfinding sliding-tile-puzzle






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 8 mins ago

























asked Nov 16 at 14:51









coderodde

15.6k536124




15.6k536124








  • 1




    "These Three". You only posted BidirectionalIterativeDeepeningDepthFirstSearch. Is that intentional?
    – Vogel612
    Nov 16 at 15:14










  • @Vogel612 My bad. Will fix soon.
    – coderodde
    Nov 16 at 15:18










  • @Vogel612 But there are 3 ID search algos in a GitHub repository.
    – coderodde
    Nov 16 at 15:20






  • 1




    I haven't checked, but that's not really relevant anyways. Only the code posted to Code Review is really up for review. Everything else is just context
    – Vogel612
    Nov 16 at 15:22














  • 1




    "These Three". You only posted BidirectionalIterativeDeepeningDepthFirstSearch. Is that intentional?
    – Vogel612
    Nov 16 at 15:14










  • @Vogel612 My bad. Will fix soon.
    – coderodde
    Nov 16 at 15:18










  • @Vogel612 But there are 3 ID search algos in a GitHub repository.
    – coderodde
    Nov 16 at 15:20






  • 1




    I haven't checked, but that's not really relevant anyways. Only the code posted to Code Review is really up for review. Everything else is just context
    – Vogel612
    Nov 16 at 15:22








1




1




"These Three". You only posted BidirectionalIterativeDeepeningDepthFirstSearch. Is that intentional?
– Vogel612
Nov 16 at 15:14




"These Three". You only posted BidirectionalIterativeDeepeningDepthFirstSearch. Is that intentional?
– Vogel612
Nov 16 at 15:14












@Vogel612 My bad. Will fix soon.
– coderodde
Nov 16 at 15:18




@Vogel612 My bad. Will fix soon.
– coderodde
Nov 16 at 15:18












@Vogel612 But there are 3 ID search algos in a GitHub repository.
– coderodde
Nov 16 at 15:20




@Vogel612 But there are 3 ID search algos in a GitHub repository.
– coderodde
Nov 16 at 15:20




1




1




I haven't checked, but that's not really relevant anyways. Only the code posted to Code Review is really up for review. Everything else is just context
– Vogel612
Nov 16 at 15:22




I haven't checked, but that's not really relevant anyways. Only the code posted to Code Review is really up for review. Everything else is just context
– Vogel612
Nov 16 at 15:22















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