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/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to you under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.calcite.example.maze;
import org.apache.calcite.linq4j.Enumerator;
import java.io.PrintWriter;
import java.util.ArrayDeque;
import java.util.ArrayList;
import java.util.Deque;
import java.util.LinkedHashSet;
import java.util.List;
import java.util.Random;
import java.util.Set;
/** Maze generator. */
class Maze {
private final int width;
final int height;
private final int[] regions;
private final boolean[] ups;
private final boolean[] lefts;
static final boolean DEBUG = false;
private final boolean horizontal = false;
private final boolean spiral = false;
Maze(int width, int height) {
this.width = width;
this.height = height;
this.regions = new int[width * height];
for (int i = 0; i < regions.length; i++) {
regions[i] = i;
}
this.ups = new boolean[width * height + width];
this.lefts = new boolean[width * height + 1];
}
private int region(int cell) {
int region = regions[cell];
if (region == cell) {
return region;
}
return regions[cell] = region(region);
}
/** Prints the maze. Results are like this:
*
*
* +--+--+--+--+--+
* | | |
* +--+ +--+--+ +
* | | | |
* + +--+ +--+ +
* | |
* +--+--+--+--+--+
*
*
* @param pw Print writer
* @param space Whether to put a space in each cell; if false, prints the
* region number of the cell
*/
public void print(PrintWriter pw, boolean space) {
pw.println();
final StringBuilder b = new StringBuilder();
final StringBuilder b2 = new StringBuilder();
final CellContent cellContent;
if (space) {
cellContent = c -> " ";
} else {
cellContent = c -> {
String s = region(c) + "";
return s.length() == 1 ? " " + s : s;
};
}
for (int y = 0; y < height; y++) {
row(cellContent, b, b2, y);
pw.println(b.toString());
pw.println(b2.toString());
b.setLength(0);
b2.setLength(0);
}
for (int x = 0; x < width; x++) {
pw.print("+--");
}
pw.println('+');
pw.flush();
}
/** Generates a list of lines representing the maze in text form. */
public Enumerator enumerator(final Set solutionSet) {
final CellContent cellContent;
if (solutionSet == null) {
cellContent = CellContent.SPACE;
} else {
cellContent = c -> solutionSet.contains(c) ? "* " : " ";
}
return new Enumerator() {
int i = -1;
final StringBuilder b = new StringBuilder();
final StringBuilder b2 = new StringBuilder();
public String current() {
return i % 2 == 0 ? b.toString() : b2.toString();
}
public boolean moveNext() {
if (i >= height * 2) {
return false;
}
++i;
if (i % 2 == 0) {
b.setLength(0);
b2.setLength(0);
row(cellContent, b, b2, i / 2);
}
return true;
}
public void reset() {
i = -1;
}
public void close() {}
};
}
/** Returns a pair of strings representing a row of the maze. */
private void row(CellContent cellContent, StringBuilder b, StringBuilder b2,
int y) {
final int c0 = y * width;
for (int x = 0; x < width; x++) {
b.append('+');
b.append(ups[c0 + x] ? " " : "--");
}
b.append('+');
if (y == height) {
return;
}
for (int x = 0; x < width; x++) {
b2.append(lefts[c0 + x] ? ' ' : '|')
.append(cellContent.get(c0 + x));
}
b2.append('|');
}
public Maze layout(Random random, PrintWriter pw) {
int[] candidates =
new int[width * height - width
+ width * height - height];
int z = 0;
for (int y = 0, c = 0; y < height; y++) {
for (int x = 0; x < width; x++) {
if (x > 0) {
candidates[z++] = c;
}
++c;
if (y > 0) {
candidates[z++] = c;
}
++c;
}
}
assert z == candidates.length;
shuffle(random, candidates);
for (int candidate : candidates) {
final boolean up = (candidate & 1) != 0;
final int c = candidate >> 1;
if (up) {
int region = region(c - width);
// make sure we are not joining the same region, that is, making
// a cycle
if (region(c) != region) {
ups[c] = true;
regions[regions[c]] = region;
regions[c] = region;
if (DEBUG) {
pw.println("up " + c);
}
} else {
if (DEBUG) {
pw.println("cannot remove top wall at " + c);
}
}
} else {
int region = region(c - 1);
// make sure we are not joining the same region, that is, making
// a cycle
if (region(c) != region) {
lefts[c] = true;
regions[regions[c]] = region;
regions[c] = region;
if (DEBUG) {
pw.println("left " + c);
}
} else {
if (DEBUG) {
pw.println("cannot remove left wall at " + c);
}
}
}
if (DEBUG) {
print(pw, false);
print(pw, true);
}
}
return this;
}
Set solve(int x, int y) {
int c = y * width + x;
final int target = regions.length - 1;
Direction d = Direction.UP;
final List list = new ArrayList<>();
final Deque fromStack = new ArrayDeque<>();
final Deque directionStack = new ArrayDeque<>();
Direction from = Direction.BACKTRACK;
int cNext = 0;
Direction dNext = Direction.UP;
boolean move = false;
for (;;) {
switch (d) {
case UP:
// try to go up
move = from != Direction.DOWN && ups[c];
cNext = c - width;
dNext = Direction.LEFT;
break;
case LEFT:
// try to go left
move = from != Direction.RIGHT && lefts[c];
cNext = c - 1;
dNext = Direction.DOWN;
break;
case DOWN:
// try to go down
move = from != Direction.UP && c + width < regions.length
&& ups[c + width];
cNext = c + width;
dNext = Direction.RIGHT;
break;
case RIGHT:
move = from != Direction.LEFT && c % width < width - 1
&& lefts[c + 1];
cNext = c + 1;
dNext = Direction.BACKTRACK;
break;
case BACKTRACK:
move = false;
do {
c = list.remove(list.size() - 1);
dNext = directionStack.pop();
from = fromStack.pop();
} while (dNext == Direction.BACKTRACK);
}
if (move) {
directionStack.push(dNext);
fromStack.push(from);
list.add(c);
if (cNext == target) {
list.add(cNext);
return new LinkedHashSet<>(list);
}
from = d;
d = Direction.UP;
c = cNext;
} else {
d = dNext;
}
}
}
/** Direction. */
private enum Direction {
UP, LEFT, DOWN, RIGHT, BACKTRACK
}
/**
* Randomly permutes the members of an array. Based on the Fisher-Yates
* algorithm.
*
* @param random Random number generator
* @param ints Array of integers to shuffle
*/
private void shuffle(Random random, int[] ints) {
for (int i = ints.length - 1; i > 0; i--) {
int j = random.nextInt(i + 1);
int t = ints[j];
ints[j] = ints[i];
ints[i] = t;
}
// move even walls (left) towards the start, so we end up with
// long horizontal corridors
if (horizontal) {
for (int i = 2; i < ints.length; i++) {
if (ints[i] % 2 == 0) {
int j = random.nextInt(i);
int t = ints[j];
ints[j] = ints[i];
ints[i] = t;
}
}
}
// move walls towards the edges towards the start
if (spiral) {
for (int z = 0; z < 5; z++) {
for (int i = 2; i < ints.length; i++) {
int x = ints[i] / 2 % width;
int y = ints[i] / 2 / width;
int xMin = Math.min(x, width - x);
int yMin = Math.min(y, height - y);
if (ints[i] % 2 == (xMin < yMin ? 1 : 0)) {
int j = random.nextInt(i);
int t = ints[j];
ints[j] = ints[i];
ints[i] = t;
}
}
}
}
}
/** Callback to get what to print in a particular cell. Must be two characters
* long, usually two spaces. */
interface CellContent {
CellContent SPACE = c -> " ";
String get(int c);
}
}
// End Maze.java