Merge "A space-efficient 2D matrix" into sc-dev am: 6b5bbd62f9 (18053176) · Commits · e / os / android_frameworks_base

services/core/java/com/android/server/utils/WatchedSparseBooleanMatrix.java

+204 −68

Original line number	Diff line number	Diff line
		@@ -16,9 +16,12 @@

		package com.android.server.utils;

		import static com.android.internal.annotations.VisibleForTesting.Visibility.PRIVATE;

		import android.annotation.Nullable;
		import android.annotation.Size;

		import com.android.internal.annotations.VisibleForTesting;
		import com.android.internal.util.ArrayUtils;
		import com.android.internal.util.GrowingArrayUtils;

		@@ -39,13 +42,14 @@ import java.util.Arrays;
		public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappable {

		/**
		* The matrix is implemented through four arrays. The matrix of booleans is stored in
		* a one-dimensional {@code mValues} array. {@code mValues} is always of size
		* {@code mOrder * mOrder}. Elements of {@code mValues} are addressed with
		* arithmetic: the offset of the element {@code {row, col}} is at
		* {@code row * mOrder + col}. The term "storage index" applies to {@code mValues}.
		* A storage index designates a row (column) in the underlying storage. This is not
		* the same as the row seen by client code.
		* The matrix is implemented through four arrays. First, the matrix of booleans is
		* stored in a two-dimensional {@code mValues} array of bit-packed booleans.
		* {@code mValues} is always of size {@code mOrder * mOrder / 8}. The factor of 8 is
		* present because there are 8 bits in a byte. Elements of {@code mValues} are
		* addressed with arithmetic: the element {@code {row, col}} is bit {@code col % 8} in
		* byte * {@code (row * mOrder + col) / 8}. The term "storage index" applies to
		* {@code mValues}. A storage index designates a row (column) in the underlying
		* storage. This is not the same as the row seen by client code.
		*
		* Client code addresses the matrix through indices. These are integers that need not
		* be contiguous. Client indices are mapped to storage indices through two linear
		@@ -61,16 +65,32 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		*
		* Some notes:
		* <ul>
		* <li> The matrix never shrinks.
		* <li> The matrix does not automatically shrink but there is a compress() method that
		* will recover unused space.
		* <li> Equality is a very, very expesive operation.
		* </ul>
		*/

		/**
		* mOrder is always a multiple of this value. A minimal matrix therefore holds 2^12
		* values and requires 1024 bytes.
		* values and requires 1024 bytes. The value is visible for testing.
		*/
		@VisibleForTesting(visibility = PRIVATE)
		static final int STEP = 64;

		/**
		* There are 8 bits in a byte. The constant is defined here only to make it easy to
		* find in the code.
		*/
		private static final int BYTE = 8;

		/**
		* Constants that index into the string array returned by matrixToString. The primary
		* consumer is test code.
		*/
		private static final int STEP = 64;
		static final int STRING_KEY_INDEX = 0;
		static final int STRING_MAP_INDEX = 1;
		static final int STRING_INUSE_INDEX = 2;

		/**
		* The order of the matrix storage, including any padding. The matrix is always
		@@ -103,7 +123,7 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		/**
		* The boolean array. This array is always {@code mOrder x mOrder} in size.
		*/
		private boolean[] mValues;
		private byte[] mValues;

		/**
		* A convenience function called when the elements are added to or removed from the storage.
		@@ -140,7 +160,7 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		mInUse = new boolean[mOrder];
		mKeys = ArrayUtils.newUnpaddedIntArray(mOrder);
		mMap = ArrayUtils.newUnpaddedIntArray(mOrder);
		mValues = new boolean[mOrder * mOrder];
		mValues = new byte[mOrder * mOrder / 8];
		mSize = 0;
		}

		@@ -207,7 +227,7 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		}
		if (r >= 0 && c >= 0) {
		setValueAt(r, c, value);
		onChanged();
		// setValueAt() will call onChanged().
		} else {
		throw new RuntimeException("matrix overflow");
		}
		@@ -232,8 +252,12 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		public void removeAt(int index) {
		validateIndex(index);
		mInUse[mMap[index]] = false;
		// Remove the specified index and ensure that unused words in mKeys and mMap are
		// always zero, to simplify the equality function.
		System.arraycopy(mKeys, index + 1, mKeys, index, mSize - (index + 1));
		mKeys[mSize - 1] = 0;
		System.arraycopy(mMap, index + 1, mMap, index, mSize - (index + 1));
		mMap[mSize - 1] = 0;
		mSize--;
		onChanged();
		}
		@@ -271,6 +295,17 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		return mKeys[index];
		}

		/**
		* An internal method to fetch the boolean value given the mValues row and column
		* indices. These are not the indices used by the *At() methods.
		*/
		private boolean valueAtInternal(int row, int col) {
		int element = row * mOrder + col;
		int offset = element / BYTE;
		int mask = 1 << (element % BYTE);
		return (mValues[offset] & mask) != 0;
		}

		/**
		* Given a row and column, each in the range <code>0...size()-1</code>, returns the
		* value from the <code>index</code>th key-value mapping that this WatchedSparseBooleanMatrix
		@@ -280,8 +315,22 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		validateIndex(rowIndex, colIndex);
		int r = mMap[rowIndex];
		int c = mMap[colIndex];
		int element = r * mOrder + c;
		return mValues[element];
		return valueAtInternal(r, c);
		}

		/**
		* An internal method to set the boolean value given the mValues row and column
		* indices. These are not the indices used by the *At() methods.
		*/
		private void setValueAtInternal(int row, int col, boolean value) {
		int element = row * mOrder + col;
		int offset = element / BYTE;
		byte mask = (byte) (1 << (element % BYTE));
		if (value) {
		mValues[offset] \|= mask;
		} else {
		mValues[offset] &= ~mask;
		}
		}

		/**
		@@ -291,8 +340,7 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		validateIndex(rowIndex, colIndex);
		int r = mMap[rowIndex];
		int c = mMap[colIndex];
		int element = r * mOrder + c;
		mValues[element] = value;
		setValueAtInternal(r, c, value);
		onChanged();
		}

		@@ -327,12 +375,17 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		mKeys = GrowingArrayUtils.insert(mKeys, mSize, i, key);
		mMap = GrowingArrayUtils.insert(mMap, mSize, i, newIndex);
		mSize++;

		// Initialize the row and column corresponding to the new index.
		int valueRow = mOrder / BYTE;
		int offset = newIndex / BYTE;
		byte mask = (byte) (~(1 << (newIndex % BYTE)));
		Arrays.fill(mValues, newIndex * valueRow, (newIndex + 1) * valueRow, (byte) 0);
		for (int n = 0; n < mSize; n++) {
		mValues[n * mOrder + newIndex] = false;
		mValues[newIndex * mOrder + n] = false;
		mValues[n * valueRow + offset] &= mask;
		}
		onChanged();
		// Do not report onChanged() from this private method. onChanged() is the
		// responsibility of public methods that call this one.
		}
		return i;
		}
		@@ -355,6 +408,33 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		validateIndex(col);
		}

		/**
		* Expand the 2D array. This also extends the free list.
		*/
		private void growMatrix() {
		resizeValues(mOrder + STEP);
		}

		/**
		* Resize the values array to the new dimension.
		*/
		private void resizeValues(int newOrder) {

		boolean[] newInuse = Arrays.copyOf(mInUse, newOrder);
		int minOrder = Math.min(mOrder, newOrder);

		byte[] newValues = new byte[newOrder * newOrder / BYTE];
		for (int i = 0; i < minOrder; i++) {
		int row = mOrder * i / BYTE;
		int newRow = newOrder * i / BYTE;
		System.arraycopy(mValues, row, newValues, newRow, minOrder / BYTE);
		}

		mInUse = newInuse;
		mValues = newValues;
		mOrder = newOrder;
		}

		/**
		* Find an unused storage index, mark it in-use, and return it.
		*/
		@@ -369,27 +449,82 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		}

		/**
		* Expand the 2D array. This also extends the free list.
		* Return the index of the key that uses the highest row index in use. This returns
		* -1 if the matrix is empty. Note that the return is an index suitable for the *At()
		* methods. It is not the index in the mInUse array.
		*/
		private void growMatrix() {
		int newOrder = mOrder + STEP;

		boolean[] newInuse = Arrays.copyOf(mInUse, newOrder);
		private int lastInuse() {
		for (int i = mOrder - 1; i >= 0; i--) {
		if (mInUse[i]) {
		for (int j = 0; j < mSize; j++) {
		if (mMap[j] == i) {
		return j;
		}
		}
		throw new IndexOutOfBoundsException();
		}
		}
		return -1;
		}

		boolean[] newValues = new boolean[newOrder * newOrder];
		/**
		* Compress the matrix by packing keys into consecutive indices. If the compression
		* is sufficient, the mValues array can be shrunk.
		*/
		private void pack() {
		if (mSize == 0 \|\| mSize == mOrder) {
		return;
		}
		// dst and src are identify raw (row, col) in mValues. srcIndex is the index (as
		// in the result of keyAt()) of the key being relocated.
		for (int dst = nextFree(); dst < mSize; dst = nextFree()) {
		int srcIndex = lastInuse();
		int src = mMap[srcIndex];
		mInUse[src] = false;
		mMap[srcIndex] = dst;
		System.arraycopy(mValues, src * mOrder / BYTE,
		mValues, dst * mOrder / BYTE,
		mOrder / BYTE);
		int srcOffset = (src / BYTE);
		byte srcMask = (byte) (1 << (src % BYTE));
		int dstOffset = (dst / BYTE);
		byte dstMask = (byte) (1 << (dst % BYTE));
		for (int i = 0; i < mOrder; i++) {
		int row = mOrder * i;
		int newRow = newOrder * i;
		for (int j = 0; j < mOrder; j++) {
		int index = row + j;
		int newIndex = newRow + j;
		newValues[newIndex] = mValues[index];
		if ((mValues[srcOffset] & srcMask) == 0) {
		mValues[dstOffset] &= ~dstMask;
		} else {
		mValues[dstOffset] \|= dstMask;
		}
		srcOffset += mOrder / BYTE;
		dstOffset += mOrder / BYTE;
		}
		}
		}

		mInUse = newInuse;
		mValues = newValues;
		mOrder = newOrder;
		/**
		* Shrink the matrix, if possible.
		*/
		public void compact() {
		pack();
		int unused = (mOrder - mSize) / STEP;
		if (unused > 0) {
		resizeValues(mOrder - (unused * STEP));
		}
		}

		/**
		* Return a copy of the keys that are in use by the matrix.
		*/
		public int[] keys() {
		return Arrays.copyOf(mKeys, mSize);
		}

		/**
		* Return the size of the 2D matrix. This is always greater than or equal to size().
		* This does not reflect the sizes of the meta-information arrays (such as mKeys).
		*/
		public int capacity() {
		return mOrder;
		}

		/**
		@@ -398,15 +533,12 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		@Override
		public int hashCode() {
		int hashCode = mSize;
		hashCode = 31 * hashCode + Arrays.hashCode(mKeys);
		hashCode = 31 * hashCode + Arrays.hashCode(mMap);
		for (int i = 0; i < mSize; i++) {
		hashCode = 31 * hashCode + mKeys[i];
		hashCode = 31 * hashCode + mMap[i];
		}
		for (int i = 0; i < mSize; i++) {
		int row = mMap[i] * mOrder;
		int row = mMap[i];
		for (int j = 0; j < mSize; j++) {
		int element = mMap[j] + row;
		hashCode = 31 * hashCode + (mValues[element] ? 1 : 0);
		hashCode = 31 * hashCode + (valueAtInternal(row, mMap[j]) ? 1 : 0);
		}
		}
		return hashCode;
		@@ -429,20 +561,16 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		if (mSize != other.mSize) {
		return false;
		}

		for (int i = 0; i < mSize; i++) {
		if (mKeys[i] != other.mKeys[i]) {
		return false;
		}
		if (mMap[i] != other.mMap[i]) {
		if (!Arrays.equals(mKeys, other.mKeys)) {
		// mKeys is zero padded at the end and is sorted, so the arrays can always be
		// directly compared.
		return false;
		}
		}
		for (int i = 0; i < mSize; i++) {
		int row = mMap[i] * mOrder;
		int row = mMap[i];
		for (int j = 0; j < mSize; j++) {
		int element = mMap[j] + row;
		if (mValues[element] != other.mValues[element]) {
		int col = mMap[j];
		if (valueAtInternal(row, col) != other.valueAtInternal(row, col)) {
		return false;
		}
		}
		@@ -451,9 +579,12 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		}

		/**
		* Return the matrix meta information. This is always three strings long.
		* Return the matrix meta information. This is always three strings long. The
		* strings are indexed by the constants STRING_KEY_INDEX, STRING_MAP_INDEX, and
		* STRING_INUSE_INDEX.
		*/
		private @Size(3) String[] matrixToStringMeta() {
		@VisibleForTesting(visibility = PRIVATE)
		@Size(3) String[] matrixToStringMeta() {
		String[] result = new String[3];

		StringBuilder k = new StringBuilder();
		@@ -463,7 +594,7 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		k.append(" ");
		}
		}
		result[0] = k.substring(0);
		result[STRING_KEY_INDEX] = k.substring(0);

		StringBuilder m = new StringBuilder();
		for (int i = 0; i < mSize; i++) {
		@@ -472,42 +603,47 @@ public class WatchedSparseBooleanMatrix extends WatchableImpl implements Snappab
		m.append(" ");
		}
		}
		result[1] = m.substring(0);
		result[STRING_MAP_INDEX] = m.substring(0);

		StringBuilder u = new StringBuilder();
		for (int i = 0; i < mOrder; i++) {
		u.append(mInUse[i] ? "1" : "0");
		}
		result[2] = u.substring(0);
		result[STRING_INUSE_INDEX] = u.substring(0);
		return result;
		}

		/**
		* Return the matrix as an array of strings. There is one string per row. Each
		* string has a '1' or a '0' in the proper column.
		* string has a '1' or a '0' in the proper column. This is the raw data indexed by
		* row/column disregarding the key map.
		*/
		private String[] matrixToStringRaw() {
		@VisibleForTesting(visibility = PRIVATE)
		String[] matrixToStringRaw() {
		String[] result = new String[mOrder];
		for (int i = 0; i < mOrder; i++) {
		int row = i * mOrder;
		StringBuilder line = new StringBuilder(mOrder);
		for (int j = 0; j < mOrder; j++) {
		int element = row + j;
		line.append(mValues[element] ? "1" : "0");
		line.append(valueAtInternal(i, j) ? "1" : "0");
		}
		result[i] = line.substring(0);
		}
		return result;
		}

		private String[] matrixToStringCooked() {
		/**
		* Return the matrix as an array of strings. There is one string per row. Each
		* string has a '1' or a '0' in the proper column. This is the cooked data indexed by
		* keys, in key order.
		*/
		@VisibleForTesting(visibility = PRIVATE)
		String[] matrixToStringCooked() {
		String[] result = new String[mSize];
		for (int i = 0; i < mSize; i++) {
		int row = mMap[i] * mOrder;
		int row = mMap[i];
		StringBuilder line = new StringBuilder(mSize);
		for (int j = 0; j < mSize; j++) {
		int element = row + mMap[j];
		line.append(mValues[element] ? "1" : "0");
		line.append(valueAtInternal(row, mMap[j]) ? "1" : "0");
		}
		result[i] = line.substring(0);
		}

services/tests/servicestests/src/com/android/server/utils/WatcherTest.java

+141 −39

Original line number	Diff line number	Diff line
		@@ -22,7 +22,6 @@ import static org.junit.Assert.fail;

		import android.util.ArrayMap;
		import android.util.ArraySet;
		import android.util.Log;
		import android.util.LongSparseArray;
		import android.util.SparseArray;
		import android.util.SparseBooleanArray;
		@@ -35,7 +34,6 @@ import org.junit.Before;
		import org.junit.Test;

		import java.util.ArrayList;
		import java.util.Arrays;
		import java.util.Random;

		/**
		@@ -869,22 +867,14 @@ public class WatcherTest {
		mSeed = seed;
		mRandom = new Random(mSeed);
		}
		public int index() {
		public int next() {
		return mRandom.nextInt(50000);
		}
		public void reset() {
		mRandom.setSeed(mSeed);
		}
		}

		// Return a value based on the row and column. The algorithm tries to avoid simple
		// patterns like checkerboard.
		private final boolean cellValue(int row, int col) {
		return (((row * 4 + col) % 3)& 1) == 1;
		}

		// This is an inefficient way to know if a value appears in an array.
		private final boolean contains(int[] s, int length, int k) {
		private boolean contains(int[] s, int length, int k) {
		for (int i = 0; i < length; i++) {
		if (s[i] == k) {
		return true;
		@@ -892,19 +882,29 @@ public class WatcherTest {
		}
		return false;
		}

		private void matrixTest(WatchedSparseBooleanMatrix matrix, int size, IndexGenerator indexer) {
		indexer.reset();
		int[] indexes = new int[size];
		public int[] indexes(int size) {
		reset();
		int[] r = new int[size];
		for (int i = 0; i < size; i++) {
		int key = indexer.index();
		int key = next();
		// Ensure the list of indices are unique.
		while (contains(indexes, i, key)) {
		key = indexer.index();
		while (contains(r, i, key)) {
		key = next();
		}
		r[i] = key;
		}
		return r;
		}
		indexes[i] = key;
		}
		// Set values in the matrix.

		// Return a value based on the row and column. The algorithm tries to avoid simple
		// patterns like checkerboard.
		private final boolean cellValue(int row, int col) {
		return (((row * 4 + col) % 3)& 1) == 1;
		}

		// Fill a matrix
		private void fill(WatchedSparseBooleanMatrix matrix, int size, int[] indexes) {
		for (int i = 0; i < size; i++) {
		int row = indexes[i];
		for (int j = 0; j < size; j++) {
		@@ -913,22 +913,40 @@ public class WatcherTest {
		matrix.put(row, col, want);
		}
		}
		}

		assertEquals(matrix.size(), size);

		// Read back and verify
		// Verify the content of a matrix. This asserts on mismatch. Selected indices may
		// have been deleted.
		private void verify(WatchedSparseBooleanMatrix matrix, int[] indexes, boolean[] absent) {
		for (int i = 0; i < matrix.size(); i++) {
		int row = indexes[i];
		for (int j = 0; j < matrix.size(); j++) {
		int col = indexes[j];
		if (absent != null && (absent[i] \|\| absent[j])) {
		boolean want = false;
		String msg = String.format("matrix(%d:%d, %d:%d) (deleted)", i, row, j, col);
		assertEquals(msg, matrix.get(row, col), false);
		assertEquals(msg, matrix.get(row, col, false), false);
		assertEquals(msg, matrix.get(row, col, true), true);
		} else {
		boolean want = cellValue(i, j);
		boolean actual = matrix.get(row, col);
		String msg = String.format("matrix(%d:%d, %d:%d) == %s, expected %s",
		i, row, j, col, actual, want);
		assertEquals(msg, actual, want);
		String msg = String.format("matrix(%d:%d, %d:%d)", i, row, j, col);
		assertEquals(msg, matrix.get(row, col), want);
		assertEquals(msg, matrix.get(row, col, false), want);
		assertEquals(msg, matrix.get(row, col, true), want);
		}
		}
		}
		}

		private void matrixGrow(WatchedSparseBooleanMatrix matrix, int size, IndexGenerator indexer) {
		int[] indexes = indexer.indexes(size);

		// Set values in the matrix, then read back and verify.
		fill(matrix, size, indexes);
		assertEquals(matrix.size(), size);
		verify(matrix, indexes, null);

		// Test the keyAt/indexOfKey methods
		for (int i = 0; i < matrix.size(); i++) {
		int key = indexes[i];
		@@ -936,17 +954,101 @@ public class WatcherTest {
		}
		}

		private void matrixDelete(WatchedSparseBooleanMatrix matrix, int size, IndexGenerator indexer) {
		int[] indexes = indexer.indexes(size);
		fill(matrix, size, indexes);

		// Delete a bunch of rows. Verify that reading back results in false and that
		// contains() is false. Recreate the rows and verify that all cells (other than
		// the one just created) are false.
		boolean[] absent = new boolean[size];
		for (int i = 0; i < size; i += 13) {
		matrix.deleteKey(indexes[i]);
		absent[i] = true;
		}
		verify(matrix, indexes, absent);
		}

		private void matrixShrink(WatchedSparseBooleanMatrix matrix, int size, IndexGenerator indexer) {
		int[] indexes = indexer.indexes(size);
		fill(matrix, size, indexes);

		int initialCapacity = matrix.capacity();

		// Delete every other row, remembering which rows were deleted. The goal is to
		// make room for compaction.
		boolean[] absent = new boolean[size];
		for (int i = 0; i < size; i += 2) {
		matrix.deleteKey(indexes[i]);
		absent[i] = true;
		}

		matrix.compact();
		int finalCapacity = matrix.capacity();
		assertTrue("Matrix shrink", initialCapacity > finalCapacity);
		assertTrue("Matrix shrink", finalCapacity - matrix.size() < matrix.STEP);
		}

		@Test
		public void testWatchedSparseBooleanMatrix() {
		final String name = "WatchedSparseBooleanMatrix";

		// The first part of this method tests the core matrix functionality. The second
		// part tests the watchable behavior. The third part tests the snappable
		// behavior.
		// Test the core matrix functionality. The three tess are meant to test various
		// combinations of auto-grow.
		IndexGenerator indexer = new IndexGenerator(3);
		matrixTest(new WatchedSparseBooleanMatrix(), 10, indexer);
		matrixTest(new WatchedSparseBooleanMatrix(1000), 500, indexer);
		matrixTest(new WatchedSparseBooleanMatrix(1000), 2000, indexer);
		matrixGrow(new WatchedSparseBooleanMatrix(), 10, indexer);
		matrixGrow(new WatchedSparseBooleanMatrix(1000), 500, indexer);
		matrixGrow(new WatchedSparseBooleanMatrix(1000), 2000, indexer);
		matrixDelete(new WatchedSparseBooleanMatrix(), 500, indexer);
		matrixShrink(new WatchedSparseBooleanMatrix(), 500, indexer);

		// Test Watchable behavior.
		WatchedSparseBooleanMatrix matrix = new WatchedSparseBooleanMatrix();
		WatchableTester tester = new WatchableTester(matrix, name);
		tester.verify(0, "Initial array - no registration");
		matrix.put(INDEX_A, INDEX_A, true);
		tester.verify(0, "Updates with no registration");
		tester.register();
		tester.verify(0, "Updates with no registration");
		matrix.put(INDEX_A, INDEX_B, true);
		tester.verify(1, "Single cell assignment");
		matrix.put(INDEX_A, INDEX_B, true);
		tester.verify(2, "Single cell assignment - same value");
		matrix.put(INDEX_C, INDEX_B, true);
		tester.verify(3, "Single cell assignment");
		matrix.deleteKey(INDEX_B);
		tester.verify(4, "Delete key");
		assertEquals(matrix.get(INDEX_B, INDEX_C), false);
		assertEquals(matrix.get(INDEX_B, INDEX_C, false), false);
		assertEquals(matrix.get(INDEX_B, INDEX_C, true), true);

		matrix.clear();
		tester.verify(5, "Clear");
		assertEquals(matrix.size(), 0);
		fill(matrix, 10, indexer.indexes(10));
		int[] keys = matrix.keys();
		assertEquals(keys.length, matrix.size());
		for (int i = 0; i < matrix.size(); i++) {
		assertEquals(matrix.keyAt(i), keys[i]);
		}

		WatchedSparseBooleanMatrix a = new WatchedSparseBooleanMatrix();
		matrixGrow(a, 10, indexer);
		assertEquals(a.size(), 10);
		WatchedSparseBooleanMatrix b = new WatchedSparseBooleanMatrix();
		matrixGrow(b, 10, indexer);
		assertEquals(b.size(), 10);
		assertEquals(a.equals(b), true);
		int rowIndex = b.keyAt(3);
		int colIndex = b.keyAt(4);
		b.put(rowIndex, colIndex, !b.get(rowIndex, colIndex));
		assertEquals(a.equals(b), false);

		// Test Snappable behavior.
		WatchedSparseBooleanMatrix s = a.snapshot();
		assertEquals(a.equals(s), true);
		a.put(rowIndex, colIndex, !a.get(rowIndex, colIndex));
		assertEquals(a.equals(s), false);
		}

		@Test