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/*
 * Copyright 2007 ZXing authors
 *
 * Licensed 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 com.google.zxing.common;

import java.util.Arrays;

/**
 * 

Represents a 2D matrix of bits. In function arguments below, and throughout the common * module, x is the column position, and y is the row position. The ordering is always x, y. * The origin is at the top-left.

* *

Internally the bits are represented in a 1-D array of 32-bit ints. However, each row begins * with a new int. This is done intentionally so that we can copy out a row into a BitArray very * efficiently.

* *

The ordering of bits is row-major. Within each int, the least significant bits are used first, * meaning they represent lower x values. This is compatible with BitArray's implementation.

* * @author Sean Owen * @author [email protected] (Daniel Switkin) */ public final class BitMatrix implements Cloneable { private int width; private int height; private int rowSize; private int[] bits; /** * Creates an empty square {@code BitMatrix}. * * @param dimension height and width */ public BitMatrix(int dimension) { this(dimension, dimension); } /** * Creates an empty {@code BitMatrix}. * * @param width bit matrix width * @param height bit matrix height */ public BitMatrix(int width, int height) { if (width < 1 || height < 1) { throw new IllegalArgumentException("Both dimensions must be greater than 0"); } this.width = width; this.height = height; this.rowSize = (width + 31) / 32; bits = new int[rowSize * height]; } private BitMatrix(int width, int height, int rowSize, int[] bits) { this.width = width; this.height = height; this.rowSize = rowSize; this.bits = bits; } /** * Interprets a 2D array of booleans as a {@code BitMatrix}, where "true" means an "on" bit. * * @param image bits of the image, as a row-major 2D array. Elements are arrays representing rows * @return {@code BitMatrix} representation of image */ public static BitMatrix parse(boolean[][] image) { int height = image.length; int width = image[0].length; BitMatrix bits = new BitMatrix(width, height); for (int i = 0; i < height; i++) { boolean[] imageI = image[i]; for (int j = 0; j < width; j++) { if (imageI[j]) { bits.set(j, i); } } } return bits; } public static BitMatrix parse(String stringRepresentation, String setString, String unsetString) { if (stringRepresentation == null) { throw new IllegalArgumentException(); } boolean[] bits = new boolean[stringRepresentation.length()]; int bitsPos = 0; int rowStartPos = 0; int rowLength = -1; int nRows = 0; int pos = 0; while (pos < stringRepresentation.length()) { if (stringRepresentation.charAt(pos) == '\n' || stringRepresentation.charAt(pos) == '\r') { if (bitsPos > rowStartPos) { if (rowLength == -1) { rowLength = bitsPos - rowStartPos; } else if (bitsPos - rowStartPos != rowLength) { throw new IllegalArgumentException("row lengths do not match"); } rowStartPos = bitsPos; nRows++; } pos++; } else if (stringRepresentation.startsWith(setString, pos)) { pos += setString.length(); bits[bitsPos] = true; bitsPos++; } else if (stringRepresentation.startsWith(unsetString, pos)) { pos += unsetString.length(); bits[bitsPos] = false; bitsPos++; } else { throw new IllegalArgumentException( "illegal character encountered: " + stringRepresentation.substring(pos)); } } // no EOL at end? if (bitsPos > rowStartPos) { if (rowLength == -1) { rowLength = bitsPos - rowStartPos; } else if (bitsPos - rowStartPos != rowLength) { throw new IllegalArgumentException("row lengths do not match"); } nRows++; } BitMatrix matrix = new BitMatrix(rowLength, nRows); for (int i = 0; i < bitsPos; i++) { if (bits[i]) { matrix.set(i % rowLength, i / rowLength); } } return matrix; } /** *

Gets the requested bit, where true means black.

* * @param x The horizontal component (i.e. which column) * @param y The vertical component (i.e. which row) * @return value of given bit in matrix */ public boolean get(int x, int y) { int offset = y * rowSize + (x / 32); return ((bits[offset] >>> (x & 0x1f)) & 1) != 0; } /** *

Sets the given bit to true.

* * @param x The horizontal component (i.e. which column) * @param y The vertical component (i.e. which row) */ public void set(int x, int y) { int offset = y * rowSize + (x / 32); bits[offset] |= 1 << (x & 0x1f); } public void unset(int x, int y) { int offset = y * rowSize + (x / 32); bits[offset] &= ~(1 << (x & 0x1f)); } /** *

Flips the given bit.

* * @param x The horizontal component (i.e. which column) * @param y The vertical component (i.e. which row) */ public void flip(int x, int y) { int offset = y * rowSize + (x / 32); bits[offset] ^= 1 << (x & 0x1f); } /** *

Flips every bit in the matrix.

*/ public void flip() { int max = bits.length; for (int i = 0; i < max; i++) { bits[i] = ~bits[i]; } } /** * Exclusive-or (XOR): Flip the bit in this {@code BitMatrix} if the corresponding * mask bit is set. * * @param mask XOR mask */ public void xor(BitMatrix mask) { if (width != mask.width || height != mask.height || rowSize != mask.rowSize) { throw new IllegalArgumentException("input matrix dimensions do not match"); } BitArray rowArray = new BitArray(width); for (int y = 0; y < height; y++) { int offset = y * rowSize; int[] row = mask.getRow(y, rowArray).getBitArray(); for (int x = 0; x < rowSize; x++) { bits[offset + x] ^= row[x]; } } } /** * Clears all bits (sets to false). */ public void clear() { int max = bits.length; for (int i = 0; i < max; i++) { bits[i] = 0; } } /** *

Sets a square region of the bit matrix to true.

* * @param left The horizontal position to begin at (inclusive) * @param top The vertical position to begin at (inclusive) * @param width The width of the region * @param height The height of the region */ public void setRegion(int left, int top, int width, int height) { if (top < 0 || left < 0) { throw new IllegalArgumentException("Left and top must be nonnegative"); } if (height < 1 || width < 1) { throw new IllegalArgumentException("Height and width must be at least 1"); } int right = left + width; int bottom = top + height; if (bottom > this.height || right > this.width) { throw new IllegalArgumentException("The region must fit inside the matrix"); } for (int y = top; y < bottom; y++) { int offset = y * rowSize; for (int x = left; x < right; x++) { bits[offset + (x / 32)] |= 1 << (x & 0x1f); } } } /** * A fast method to retrieve one row of data from the matrix as a BitArray. * * @param y The row to retrieve * @param row An optional caller-allocated BitArray, will be allocated if null or too small * @return The resulting BitArray - this reference should always be used even when passing * your own row */ public BitArray getRow(int y, BitArray row) { if (row == null || row.getSize() < width) { row = new BitArray(width); } else { row.clear(); } int offset = y * rowSize; for (int x = 0; x < rowSize; x++) { row.setBulk(x * 32, bits[offset + x]); } return row; } /** * @param y row to set * @param row {@link BitArray} to copy from */ public void setRow(int y, BitArray row) { System.arraycopy(row.getBitArray(), 0, bits, y * rowSize, rowSize); } /** * Modifies this {@code BitMatrix} to represent the same but rotated 180 degrees */ public void rotate180() { BitArray topRow = new BitArray(width); BitArray bottomRow = new BitArray(width); int maxHeight = (height + 1) / 2; for (int i = 0; i < maxHeight; i++) { topRow = getRow(i, topRow); int bottomRowIndex = height - 1 - i; bottomRow = getRow(bottomRowIndex, bottomRow); topRow.reverse(); bottomRow.reverse(); setRow(i, bottomRow); setRow(bottomRowIndex, topRow); } } /** * Modifies this {@code BitMatrix} to represent the same but rotated 90 degrees counterclockwise */ public void rotate90() { int newWidth = height; int newHeight = width; int newRowSize = (newWidth + 31) / 32; int[] newBits = new int[newRowSize * newHeight]; for (int y = 0; y < height; y++) { for (int x = 0; x < width; x++) { int offset = y * rowSize + (x / 32); if (((bits[offset] >>> (x & 0x1f)) & 1) != 0) { int newOffset = (newHeight - 1 - x) * newRowSize + (y / 32); newBits[newOffset] |= 1 << (y & 0x1f); } } } width = newWidth; height = newHeight; rowSize = newRowSize; bits = newBits; } /** * This is useful in detecting the enclosing rectangle of a 'pure' barcode. * * @return {@code left,top,width,height} enclosing rectangle of all 1 bits, or null if it is all white */ public int[] getEnclosingRectangle() { int left = width; int top = height; int right = -1; int bottom = -1; for (int y = 0; y < height; y++) { for (int x32 = 0; x32 < rowSize; x32++) { int theBits = bits[y * rowSize + x32]; if (theBits != 0) { if (y < top) { top = y; } if (y > bottom) { bottom = y; } if (x32 * 32 < left) { int bit = 0; while ((theBits << (31 - bit)) == 0) { bit++; } if ((x32 * 32 + bit) < left) { left = x32 * 32 + bit; } } if (x32 * 32 + 31 > right) { int bit = 31; while ((theBits >>> bit) == 0) { bit--; } if ((x32 * 32 + bit) > right) { right = x32 * 32 + bit; } } } } } if (right < left || bottom < top) { return null; } return new int[] {left, top, right - left + 1, bottom - top + 1}; } /** * This is useful in detecting a corner of a 'pure' barcode. * * @return {@code x,y} coordinate of top-left-most 1 bit, or null if it is all white */ public int[] getTopLeftOnBit() { int bitsOffset = 0; while (bitsOffset < bits.length && bits[bitsOffset] == 0) { bitsOffset++; } if (bitsOffset == bits.length) { return null; } int y = bitsOffset / rowSize; int x = (bitsOffset % rowSize) * 32; int theBits = bits[bitsOffset]; int bit = 0; while ((theBits << (31 - bit)) == 0) { bit++; } x += bit; return new int[] {x, y}; } public int[] getBottomRightOnBit() { int bitsOffset = bits.length - 1; while (bitsOffset >= 0 && bits[bitsOffset] == 0) { bitsOffset--; } if (bitsOffset < 0) { return null; } int y = bitsOffset / rowSize; int x = (bitsOffset % rowSize) * 32; int theBits = bits[bitsOffset]; int bit = 31; while ((theBits >>> bit) == 0) { bit--; } x += bit; return new int[] {x, y}; } /** * @return The width of the matrix */ public int getWidth() { return width; } /** * @return The height of the matrix */ public int getHeight() { return height; } /** * @return The row size of the matrix */ public int getRowSize() { return rowSize; } @Override public boolean equals(Object o) { if (!(o instanceof BitMatrix)) { return false; } BitMatrix other = (BitMatrix) o; return width == other.width && height == other.height && rowSize == other.rowSize && Arrays.equals(bits, other.bits); } @Override public int hashCode() { int hash = width; hash = 31 * hash + width; hash = 31 * hash + height; hash = 31 * hash + rowSize; hash = 31 * hash + Arrays.hashCode(bits); return hash; } /** * @return string representation using "X" for set and " " for unset bits */ @Override public String toString() { return toString("X ", " "); } /** * @param setString representation of a set bit * @param unsetString representation of an unset bit * @return string representation of entire matrix utilizing given strings */ public String toString(String setString, String unsetString) { return buildToString(setString, unsetString, "\n"); } /** * @param setString representation of a set bit * @param unsetString representation of an unset bit * @param lineSeparator newline character in string representation * @return string representation of entire matrix utilizing given strings and line separator * @deprecated call {@link #toString(String,String)} only, which uses \n line separator always */ @Deprecated public String toString(String setString, String unsetString, String lineSeparator) { return buildToString(setString, unsetString, lineSeparator); } private String buildToString(String setString, String unsetString, String lineSeparator) { StringBuilder result = new StringBuilder(height * (width + 1)); for (int y = 0; y < height; y++) { for (int x = 0; x < width; x++) { result.append(get(x, y) ? setString : unsetString); } result.append(lineSeparator); } return result.toString(); } @Override public BitMatrix clone() { return new BitMatrix(width, height, rowSize, bits.clone()); } }




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