/*
* Copyright 2008 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.
*/
using ZXing.Common;
namespace ZXing.QrCode.Internal
{
///
///
///
///
/// satorux@google.com (Satoru Takabayashi) - creator
///
public static class MatrixUtil
{
private static readonly int[][] POSITION_DETECTION_PATTERN = new int[][]
{
new int[] { 1, 1, 1, 1, 1, 1, 1 },
new int[] { 1, 0, 0, 0, 0, 0, 1 },
new int[] { 1, 0, 1, 1, 1, 0, 1 },
new int[] { 1, 0, 1, 1, 1, 0, 1 },
new int[] { 1, 0, 1, 1, 1, 0, 1 },
new int[] { 1, 0, 0, 0, 0, 0, 1 },
new int[] { 1, 1, 1, 1, 1, 1, 1 }
};
private static readonly int[][] POSITION_ADJUSTMENT_PATTERN = new int[][]
{
new int[] { 1, 1, 1, 1, 1 },
new int[] { 1, 0, 0, 0, 1 },
new int[] { 1, 0, 1, 0, 1 },
new int[] { 1, 0, 0, 0, 1 },
new int[] { 1, 1, 1, 1, 1 }
};
// From Appendix E. Table 1, JIS0510X:2004 (p 71). The table was double-checked by komatsu.
private static readonly int[][] POSITION_ADJUSTMENT_PATTERN_COORDINATE_TABLE = new int[][]
{
new int[] { -1, -1, -1, -1, -1, -1, -1 },
new int[] { 6, 18, -1, -1, -1, -1, -1 },
new int[] { 6, 22, -1, -1, -1, -1, -1 },
new int[] { 6, 26, -1, -1, -1, -1, -1 },
new int[] { 6, 30, -1, -1, -1, -1, -1 },
new int[] { 6, 34, -1, -1, -1, -1, -1 },
new int[] { 6, 22, 38, -1, -1, -1, -1 },
new int[] { 6, 24, 42, -1, -1, -1, -1 },
new int[] { 6, 26, 46, -1, -1, -1, -1 },
new int[] { 6, 28, 50, -1, -1, -1, -1 },
new int[] { 6, 30, 54, -1, -1, -1, -1 },
new int[] { 6, 32, 58, -1, -1, -1, -1 },
new int[] { 6, 34, 62, -1, -1, -1, -1 },
new int[] { 6, 26, 46, 66, -1, -1, -1 },
new int[] { 6, 26, 48, 70, -1, -1, -1 },
new int[] { 6, 26, 50, 74, -1, -1, -1 },
new int[] { 6, 30, 54, 78, -1, -1, -1 },
new int[] { 6, 30, 56, 82, -1, -1, -1 },
new int[] { 6, 30, 58, 86, -1, -1, -1 },
new int[] { 6, 34, 62, 90, -1, -1, -1 },
new int[] { 6, 28, 50, 72, 94, -1, -1 },
new int[] { 6, 26, 50, 74, 98, -1, -1 },
new int[] { 6, 30, 54, 78, 102, -1, -1 },
new int[] { 6, 28, 54, 80, 106, -1, -1 },
new int[] { 6, 32, 58, 84, 110, -1, -1 },
new int[] { 6, 30, 58, 86, 114, -1, -1 },
new int[] { 6, 34, 62, 90, 118, -1, -1 },
new int[] { 6, 26, 50, 74, 98, 122, -1 },
new int[] { 6, 30, 54, 78, 102, 126, -1 },
new int[] { 6, 26, 52, 78, 104, 130, -1 },
new int[] { 6, 30, 56, 82, 108, 134, -1 },
new int[] { 6, 34, 60, 86, 112, 138, -1 },
new int[] { 6, 30, 58, 86, 114, 142, -1 },
new int[] { 6, 34, 62, 90, 118, 146, -1 },
new int[] { 6, 30, 54, 78, 102, 126, 150 },
new int[] { 6, 24, 50, 76, 102, 128, 154 },
new int[] { 6, 28, 54, 80, 106, 132, 158 },
new int[] { 6, 32, 58, 84, 110, 136, 162 },
new int[] { 6, 26, 54, 82, 110, 138, 166 },
new int[] { 6, 30, 58, 86, 114, 142, 170 }
};
// Type info cells at the left top corner.
private static readonly int[][] TYPE_INFO_COORDINATES = new int[][]
{
new int[] { 8, 0 },
new int[] { 8, 1 },
new int[] { 8, 2 },
new int[] { 8, 3 },
new int[] { 8, 4 },
new int[] { 8, 5 },
new int[] { 8, 7 },
new int[] { 8, 8 },
new int[] { 7, 8 },
new int[] { 5, 8 },
new int[] { 4, 8 },
new int[] { 3, 8 },
new int[] { 2, 8 },
new int[] { 1, 8 },
new int[] { 0, 8 }
};
// From Appendix D in JISX0510:2004 (p. 67)
private const int VERSION_INFO_POLY = 0x1f25; // 1 1111 0010 0101
// From Appendix C in JISX0510:2004 (p.65).
private const int TYPE_INFO_POLY = 0x537;
private const int TYPE_INFO_MASK_PATTERN = 0x5412;
///
/// Set all cells to 2. 2 means that the cell is empty (not set yet).
///
/// JAVAPORT: We shouldn't need to do this at all. The code should be rewritten to begin encoding
/// with the ByteMatrix initialized all to zero.
///
/// The matrix.
public static void clearMatrix(ByteMatrix matrix)
{
matrix.clear(2);
}
///
/// Build 2D matrix of QR Code from "dataBits" with "ecLevel", "version" and "getMaskPattern". On
/// success, store the result in "matrix" and return true.
///
/// The data bits.
/// The ec level.
/// The version.
/// The mask pattern.
/// The matrix.
public static void buildMatrix(BitArray dataBits, ErrorCorrectionLevel ecLevel, Version version, int maskPattern, ByteMatrix matrix)
{
clearMatrix(matrix);
embedBasicPatterns(version, matrix);
// Type information appear with any version.
embedTypeInfo(ecLevel, maskPattern, matrix);
// Version info appear if version >= 7.
maybeEmbedVersionInfo(version, matrix);
// Data should be embedded at end.
embedDataBits(dataBits, maskPattern, matrix);
}
///
/// Embed basic patterns. On success, modify the matrix and return true.
/// The basic patterns are:
/// - Position detection patterns
/// - Timing patterns
/// - Dark dot at the left bottom corner
/// - Position adjustment patterns, if need be
///
/// The version.
/// The matrix.
public static void embedBasicPatterns(Version version, ByteMatrix matrix)
{
// Let's get started with embedding big squares at corners.
embedPositionDetectionPatternsAndSeparators(matrix);
// Then, embed the dark dot at the left bottom corner.
embedDarkDotAtLeftBottomCorner(matrix);
// Position adjustment patterns appear if version >= 2.
maybeEmbedPositionAdjustmentPatterns(version, matrix);
// Timing patterns should be embedded after position adj. patterns.
embedTimingPatterns(matrix);
}
///
/// Embed type information. On success, modify the matrix.
///
/// The ec level.
/// The mask pattern.
/// The matrix.
public static void embedTypeInfo(ErrorCorrectionLevel ecLevel, int maskPattern, ByteMatrix matrix)
{
BitArray typeInfoBits = new BitArray();
makeTypeInfoBits(ecLevel, maskPattern, typeInfoBits);
for (int i = 0; i < typeInfoBits.Size; ++i)
{
// Place bits in LSB to MSB order. LSB (least significant bit) is the last value in
// "typeInfoBits".
int bit = typeInfoBits[typeInfoBits.Size - 1 - i] ? 1 : 0;
// Type info bits at the left top corner. See 8.9 of JISX0510:2004 (p.46).
int x1 = TYPE_INFO_COORDINATES[i][0];
int y1 = TYPE_INFO_COORDINATES[i][1];
matrix[x1, y1] = bit;
if (i < 8)
{
// Right top corner.
int x2 = matrix.Width - i - 1;
int y2 = 8;
matrix[x2, y2] = bit;
}
else
{
// Left bottom corner.
int x2 = 8;
int y2 = matrix.Height - 7 + (i - 8);
matrix[x2, y2] = bit;
}
}
}
///
/// Embed version information if need be. On success, modify the matrix and return true.
/// See 8.10 of JISX0510:2004 (p.47) for how to embed version information.
///
/// The version.
/// The matrix.
public static void maybeEmbedVersionInfo(Version version, ByteMatrix matrix)
{
if (version.VersionNumber < 7)
{
// Version info is necessary if version >= 7.
return; // Don't need version info.
}
BitArray versionInfoBits = new BitArray();
makeVersionInfoBits(version, versionInfoBits);
int bitIndex = 6 * 3 - 1; // It will decrease from 17 to 0.
for (int i = 0; i < 6; ++i)
{
for (int j = 0; j < 3; ++j)
{
// Place bits in LSB (least significant bit) to MSB order.
var bit = versionInfoBits[bitIndex] ? 1 : 0;
bitIndex--;
// Left bottom corner.
matrix[i, matrix.Height - 11 + j] = bit;
// Right bottom corner.
matrix[matrix.Height - 11 + j, i] = bit;
}
}
}
///
/// Embed "dataBits" using "getMaskPattern". On success, modify the matrix and return true.
/// For debugging purposes, it skips masking process if "getMaskPattern" is -1.
/// See 8.7 of JISX0510:2004 (p.38) for how to embed data bits.
///
/// The data bits.
/// The mask pattern.
/// The matrix.
public static void embedDataBits(BitArray dataBits, int maskPattern, ByteMatrix matrix)
{
int bitIndex = 0;
int direction = -1;
// Start from the right bottom cell.
int x = matrix.Width - 1;
int y = matrix.Height - 1;
while (x > 0)
{
// Skip the vertical timing pattern.
if (x == 6)
{
x -= 1;
}
while (y >= 0 && y < matrix.Height)
{
for (int i = 0; i < 2; ++i)
{
int xx = x - i;
// Skip the cell if it's not empty.
if (!isEmpty(matrix[xx, y]))
{
continue;
}
int bit;
if (bitIndex < dataBits.Size)
{
bit = dataBits[bitIndex] ? 1 : 0;
++bitIndex;
}
else
{
// Padding bit. If there is no bit left, we'll fill the left cells with 0, as described
// in 8.4.9 of JISX0510:2004 (p. 24).
bit = 0;
}
// Skip masking if mask_pattern is -1.
if (maskPattern != -1)
{
if (MaskUtil.getDataMaskBit(maskPattern, xx, y))
{
bit ^= 0x1;
}
}
matrix[xx, y] = bit;
}
y += direction;
}
direction = -direction; // Reverse the direction.
y += direction;
x -= 2; // Move to the left.
}
// All bits should be consumed.
if (bitIndex != dataBits.Size)
{
throw new WriterException("Not all bits consumed: " + bitIndex + '/' + dataBits.Size);
}
}
///
/// Return the position of the most significant bit set (to one) in the "value". The most
/// significant bit is position 32. If there is no bit set, return 0. Examples:
/// - findMSBSet(0) => 0
/// - findMSBSet(1) => 1
/// - findMSBSet(255) => 8
///
/// The value_ renamed.
///
public static int findMSBSet(int value_Renamed)
{
int numDigits = 0;
while (value_Renamed != 0)
{
value_Renamed = (int)((uint)value_Renamed >> 1);
++numDigits;
}
return numDigits;
}
///
/// Calculate BCH (Bose-Chaudhuri-Hocquenghem) code for "value" using polynomial "poly". The BCH
/// code is used for encoding type information and version information.
/// Example: Calculation of version information of 7.
/// f(x) is created from 7.
/// - 7 = 000111 in 6 bits
/// - f(x) = x^2 + x^2 + x^1
/// g(x) is given by the standard (p. 67)
/// - g(x) = x^12 + x^11 + x^10 + x^9 + x^8 + x^5 + x^2 + 1
/// Multiply f(x) by x^(18 - 6)
/// - f'(x) = f(x) * x^(18 - 6)
/// - f'(x) = x^14 + x^13 + x^12
/// Calculate the remainder of f'(x) / g(x)
/// x^2
/// __________________________________________________
/// g(x) )x^14 + x^13 + x^12
/// x^14 + x^13 + x^12 + x^11 + x^10 + x^7 + x^4 + x^2
/// --------------------------------------------------
/// x^11 + x^10 + x^7 + x^4 + x^2
///
/// The remainder is x^11 + x^10 + x^7 + x^4 + x^2
/// Encode it in binary: 110010010100
/// The return value is 0xc94 (1100 1001 0100)
///
/// Since all coefficients in the polynomials are 1 or 0, we can do the calculation by bit
/// operations. We don't care if cofficients are positive or negative.
///
/// The value.
/// The poly.
///
public static int calculateBCHCode(int value, int poly)
{
// If poly is "1 1111 0010 0101" (version info poly), msbSetInPoly is 13. We'll subtract 1
// from 13 to make it 12.
int msbSetInPoly = findMSBSet(poly);
value <<= msbSetInPoly - 1;
// Do the division business using exclusive-or operations.
while (findMSBSet(value) >= msbSetInPoly)
{
value ^= poly << (findMSBSet(value) - msbSetInPoly);
}
// Now the "value" is the remainder (i.e. the BCH code)
return value;
}
///
/// Make bit vector of type information. On success, store the result in "bits" and return true.
/// Encode error correction level and mask pattern. See 8.9 of
/// JISX0510:2004 (p.45) for details.
///
/// The ec level.
/// The mask pattern.
/// The bits.
public static void makeTypeInfoBits(ErrorCorrectionLevel ecLevel, int maskPattern, BitArray bits)
{
if (!QRCode.isValidMaskPattern(maskPattern))
{
throw new WriterException("Invalid mask pattern");
}
int typeInfo = (ecLevel.Bits << 3) | maskPattern;
bits.appendBits(typeInfo, 5);
int bchCode = calculateBCHCode(typeInfo, TYPE_INFO_POLY);
bits.appendBits(bchCode, 10);
BitArray maskBits = new BitArray();
maskBits.appendBits(TYPE_INFO_MASK_PATTERN, 15);
bits.xor(maskBits);
if (bits.Size != 15)
{
// Just in case.
throw new WriterException("should not happen but we got: " + bits.Size);
}
}
///
/// Make bit vector of version information. On success, store the result in "bits" and return true.
/// See 8.10 of JISX0510:2004 (p.45) for details.
///
/// The version.
/// The bits.
public static void makeVersionInfoBits(Version version, BitArray bits)
{
bits.appendBits(version.VersionNumber, 6);
int bchCode = calculateBCHCode(version.VersionNumber, VERSION_INFO_POLY);
bits.appendBits(bchCode, 12);
if (bits.Size != 18)
{
// Just in case.
throw new WriterException("should not happen but we got: " + bits.Size);
}
}
///
/// Check if "value" is empty.
///
/// The value.
///
/// true if the specified value is empty; otherwise, false.
///
private static bool isEmpty(int value)
{
return value == 2;
}
private static void embedTimingPatterns(ByteMatrix matrix)
{
// -8 is for skipping position detection patterns (size 7), and two horizontal/vertical
// separation patterns (size 1). Thus, 8 = 7 + 1.
for (int i = 8; i < matrix.Width - 8; ++i)
{
int bit = (i + 1) % 2;
// Horizontal line.
if (isEmpty(matrix[i, 6]))
{
matrix[i, 6] = bit;
}
// Vertical line.
if (isEmpty(matrix[6, i]))
{
matrix[6, i] = bit;
}
}
}
///
/// Embed the lonely dark dot at left bottom corner. JISX0510:2004 (p.46)
///
/// The matrix.
private static void embedDarkDotAtLeftBottomCorner(ByteMatrix matrix)
{
if (matrix[8, matrix.Height - 8] == 0)
{
throw new WriterException();
}
matrix[8, matrix.Height - 8] = 1;
}
private static void embedHorizontalSeparationPattern(int xStart, int yStart, ByteMatrix matrix)
{
for (int x = 0; x < 8; ++x)
{
if (!isEmpty(matrix[xStart + x, yStart]))
{
throw new WriterException();
}
matrix[xStart + x, yStart] = 0;
}
}
private static void embedVerticalSeparationPattern(int xStart, int yStart, ByteMatrix matrix)
{
for (int y = 0; y < 7; ++y)
{
if (!isEmpty(matrix[xStart, yStart + y]))
{
throw new WriterException();
}
matrix[xStart, yStart + y] = 0;
}
}
///
/// Note that we cannot unify the function with embedPositionDetectionPattern() despite they are
/// almost identical, since we cannot write a function that takes 2D arrays in different sizes in
/// C/C++. We should live with the fact.
///
/// The x start.
/// The y start.
/// The matrix.
private static void embedPositionAdjustmentPattern(int xStart, int yStart, ByteMatrix matrix)
{
for (int y = 0; y < 5; ++y)
{
for (int x = 0; x < 5; ++x)
{
matrix[xStart + x, yStart + y] = POSITION_ADJUSTMENT_PATTERN[y][x];
}
}
}
private static void embedPositionDetectionPattern(int xStart, int yStart, ByteMatrix matrix)
{
for (int y = 0; y < 7; ++y)
{
for (int x = 0; x < 7; ++x)
{
matrix[xStart + x, yStart + y] = POSITION_DETECTION_PATTERN[y][x];
}
}
}
///
/// Embed position detection patterns and surrounding vertical/horizontal separators.
///
/// The matrix.
private static void embedPositionDetectionPatternsAndSeparators(ByteMatrix matrix)
{
// Embed three big squares at corners.
int pdpWidth = POSITION_DETECTION_PATTERN[0].Length;
// Left top corner.
embedPositionDetectionPattern(0, 0, matrix);
// Right top corner.
embedPositionDetectionPattern(matrix.Width - pdpWidth, 0, matrix);
// Left bottom corner.
embedPositionDetectionPattern(0, matrix.Width - pdpWidth, matrix);
// Embed horizontal separation patterns around the squares.
const int hspWidth = 8;
// Left top corner.
embedHorizontalSeparationPattern(0, hspWidth - 1, matrix);
// Right top corner.
embedHorizontalSeparationPattern(matrix.Width - hspWidth, hspWidth - 1, matrix);
// Left bottom corner.
embedHorizontalSeparationPattern(0, matrix.Width - hspWidth, matrix);
// Embed vertical separation patterns around the squares.
const int vspSize = 7;
// Left top corner.
embedVerticalSeparationPattern(vspSize, 0, matrix);
// Right top corner.
embedVerticalSeparationPattern(matrix.Height - vspSize - 1, 0, matrix);
// Left bottom corner.
embedVerticalSeparationPattern(vspSize, matrix.Height - vspSize, matrix);
}
///
/// Embed position adjustment patterns if need be.
///
/// The version.
/// The matrix.
private static void maybeEmbedPositionAdjustmentPatterns(Version version, ByteMatrix matrix)
{
if (version.VersionNumber < 2)
{
// The patterns appear if version >= 2
return;
}
int index = version.VersionNumber - 1;
int[] coordinates = POSITION_ADJUSTMENT_PATTERN_COORDINATE_TABLE[index];
int numCoordinates = POSITION_ADJUSTMENT_PATTERN_COORDINATE_TABLE[index].Length;
for (int i = 0; i < numCoordinates; ++i)
{
for (int j = 0; j < numCoordinates; ++j)
{
int y = coordinates[i];
int x = coordinates[j];
if (x == -1 || y == -1)
{
continue;
}
// If the cell is unset, we embed the position adjustment pattern here.
if (isEmpty(matrix[x, y]))
{
// -2 is necessary since the x/y coordinates point to the center of the pattern, not the
// left top corner.
embedPositionAdjustmentPattern(x - 2, y - 2, matrix);
}
}
}
}
}
}