/* * 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. */ /*namespace com.google.zxing.qrcode.encoder {*/ import BitArray from './../../common/BitArray'; import ErrorCorrectionLevel from './../decoder/ErrorCorrectionLevel'; import Version from './../decoder/Version'; import ByteMatrix from './ByteMatrix'; import Exception from './../../Exception'; import Integer from './../../util/Integer'; import QRCode from './QRCode'; import MaskUtil from './MaskUtil'; /** * @author satorux@google.com (Satoru Takabayashi) - creator * @author dswitkin@google.com (Daniel Switkin) - ported from C++ */ export default class MatrixUtil { private constructor() { // do nothing } private static POSITION_DETECTION_PATTERN: Array = Array.from([ Int32Array.from([1, 1, 1, 1, 1, 1, 1]), Int32Array.from([1, 0, 0, 0, 0, 0, 1]), Int32Array.from([1, 0, 1, 1, 1, 0, 1]), Int32Array.from([1, 0, 1, 1, 1, 0, 1]), Int32Array.from([1, 0, 1, 1, 1, 0, 1]), Int32Array.from([1, 0, 0, 0, 0, 0, 1]), Int32Array.from([1, 1, 1, 1, 1, 1, 1]), ]); private static POSITION_ADJUSTMENT_PATTERN: Array = Array.from([ Int32Array.from([1, 1, 1, 1, 1]), Int32Array.from([1, 0, 0, 0, 1]), Int32Array.from([1, 0, 1, 0, 1]), Int32Array.from([1, 0, 0, 0, 1]), Int32Array.from([1, 1, 1, 1, 1]), ]); // From Appendix E. Table 1, JIS0510X:2004 (71: p). The table was double-checked by komatsu. private static POSITION_ADJUSTMENT_PATTERN_COORDINATE_TABLE: Array = Array.from([ Int32Array.from([-1, -1, -1, -1, -1, -1, -1]), // Version 1 Int32Array.from([6, 18, -1, -1, -1, -1, -1]), // Version 2 Int32Array.from([6, 22, -1, -1, -1, -1, -1]), // Version 3 Int32Array.from([6, 26, -1, -1, -1, -1, -1]), // Version 4 Int32Array.from([6, 30, -1, -1, -1, -1, -1]), // Version 5 Int32Array.from([6, 34, -1, -1, -1, -1, -1]), // Version 6 Int32Array.from([6, 22, 38, -1, -1, -1, -1]), // Version 7 Int32Array.from([6, 24, 42, -1, -1, -1, -1]), // Version 8 Int32Array.from([6, 26, 46, -1, -1, -1, -1]), // Version 9 Int32Array.from([6, 28, 50, -1, -1, -1, -1]), // Version 10 Int32Array.from([6, 30, 54, -1, -1, -1, -1]), // Version 11 Int32Array.from([6, 32, 58, -1, -1, -1, -1]), // Version 12 Int32Array.from([6, 34, 62, -1, -1, -1, -1]), // Version 13 Int32Array.from([6, 26, 46, 66, -1, -1, -1]), // Version 14 Int32Array.from([6, 26, 48, 70, -1, -1, -1]), // Version 15 Int32Array.from([6, 26, 50, 74, -1, -1, -1]), // Version 16 Int32Array.from([6, 30, 54, 78, -1, -1, -1]), // Version 17 Int32Array.from([6, 30, 56, 82, -1, -1, -1]), // Version 18 Int32Array.from([6, 30, 58, 86, -1, -1, -1]), // Version 19 Int32Array.from([6, 34, 62, 90, -1, -1, -1]), // Version 20 Int32Array.from([6, 28, 50, 72, 94, -1, -1]), // Version 21 Int32Array.from([6, 26, 50, 74, 98, -1, -1]), // Version 22 Int32Array.from([6, 30, 54, 78, 102, -1, -1]), // Version 23 Int32Array.from([6, 28, 54, 80, 106, -1, -1]), // Version 24 Int32Array.from([6, 32, 58, 84, 110, -1, -1]), // Version 25 Int32Array.from([6, 30, 58, 86, 114, -1, -1]), // Version 26 Int32Array.from([6, 34, 62, 90, 118, -1, -1]), // Version 27 Int32Array.from([6, 26, 50, 74, 98, 122, -1]), // Version 28 Int32Array.from([6, 30, 54, 78, 102, 126, -1]), // Version 29 Int32Array.from([6, 26, 52, 78, 104, 130, -1]), // Version 30 Int32Array.from([6, 30, 56, 82, 108, 134, -1]), // Version 31 Int32Array.from([6, 34, 60, 86, 112, 138, -1]), // Version 32 Int32Array.from([6, 30, 58, 86, 114, 142, -1]), // Version 33 Int32Array.from([6, 34, 62, 90, 118, 146, -1]), // Version 34 Int32Array.from([6, 30, 54, 78, 102, 126, 150]), // Version 35 Int32Array.from([6, 24, 50, 76, 102, 128, 154]), // Version 36 Int32Array.from([6, 28, 54, 80, 106, 132, 158]), // Version 37 Int32Array.from([6, 32, 58, 84, 110, 136, 162]), // Version 38 Int32Array.from([6, 26, 54, 82, 110, 138, 166]), // Version 39 Int32Array.from([6, 30, 58, 86, 114, 142, 170]), // Version 40 ]); // Type info cells at the left top corner. private static TYPE_INFO_COORDINATES: Array = Array.from([ Int32Array.from([8, 0]), Int32Array.from([8, 1]), Int32Array.from([8, 2]), Int32Array.from([8, 3]), Int32Array.from([8, 4]), Int32Array.from([8, 5]), Int32Array.from([8, 7]), Int32Array.from([8, 8]), Int32Array.from([7, 8]), Int32Array.from([5, 8]), Int32Array.from([4, 8]), Int32Array.from([3, 8]), Int32Array.from([2, 8]), Int32Array.from([1, 8]), Int32Array.from([0, 8]), ]); // From Appendix D in JISX0510:2004 (p. 67) private static VERSION_INFO_POLY = 0x1f25; // 1 1111 0010 0101 // From Appendix C in JISX0510:2004 (p.65). private static TYPE_INFO_POLY = 0x537; private static TYPE_INFO_MASK_PATTERN = 0x5412; // Set all cells to -1 (TYPESCRIPTPORT: 255). -1 (TYPESCRIPTPORT: 255) 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. public static clearMatrix(matrix: ByteMatrix): void { // TYPESCRIPTPORT: we use UintArray se changed here from -1 to 255 matrix.clear(/*(byte) *//*-1*/255); } // Build 2D matrix of QR Code from "dataBits" with "ecLevel", "version" and "getMaskPattern". On // success, store the result in "matrix" and return true. public static buildMatrix(dataBits: BitArray, ecLevel: ErrorCorrectionLevel, version: Version, maskPattern: number /*int*/, matrix: ByteMatrix): void /*throws WriterException*/ { MatrixUtil.clearMatrix(matrix); MatrixUtil.embedBasicPatterns(version, matrix); // Type information appear with any version. MatrixUtil.embedTypeInfo(ecLevel, maskPattern, matrix); // Version info appear if version >= 7. MatrixUtil.maybeEmbedVersionInfo(version, matrix); // Data should be embedded at end. MatrixUtil.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 public static embedBasicPatterns(version: Version, matrix: ByteMatrix): void /*throws WriterException*/ { // Let's get started with embedding big squares at corners. MatrixUtil.embedPositionDetectionPatternsAndSeparators(matrix); // Then, embed the dark dot at the left bottom corner. MatrixUtil.embedDarkDotAtLeftBottomCorner(matrix); // Position adjustment patterns appear if version >= 2. MatrixUtil.maybeEmbedPositionAdjustmentPatterns(version, matrix); // Timing patterns should be embedded after position adj. patterns. MatrixUtil.embedTimingPatterns(matrix); } // Embed type information. On success, modify the matrix. public static embedTypeInfo(ecLevel: ErrorCorrectionLevel, maskPattern: number /*int*/, matrix: ByteMatrix): void { const typeInfoBits: BitArray = new BitArray(); MatrixUtil.makeTypeInfoBits(ecLevel, maskPattern, typeInfoBits); for (let i = 0, size = typeInfoBits.getSize(); i < size; ++i) { // Place bits in LSB to MSB order. LSB (least significant bit) is the last value in // "typeInfoBits". const bit: boolean = typeInfoBits.get(typeInfoBits.getSize() - 1 - i); // Type info bits at the left top corner. See 8.9 of JISX0510:2004 (p.46). const coordinates: Int32Array = MatrixUtil.TYPE_INFO_COORDINATES[i]; const x1 = coordinates[0]; const y1 = coordinates[1]; matrix.setBoolean(x1, y1, bit); if (i < 8) { // Right top corner. const x2 = matrix.getWidth() - i - 1; const y2 = 8; matrix.setBoolean(x2, y2, bit); } else { // Left bottom corner. const x2 = 8; const y2 = matrix.getHeight() - 7 + (i - 8); matrix.setBoolean(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. public static maybeEmbedVersionInfo(version: Version, matrix: ByteMatrix): void /*throws WriterException*/ { if (version.getVersionNumber() < 7) { // Version info is necessary if version >= 7. return; // Don't need version info. } const versionInfoBits = new BitArray(); MatrixUtil.makeVersionInfoBits(version, versionInfoBits); let bitIndex = 6 * 3 - 1; // It will decrease from 17 to 0. for (let i = 0; i < 6; ++i) { for (let j = 0; j < 3; ++j) { // Place bits in LSB (least significant bit) to MSB order. const bit: boolean = versionInfoBits.get(bitIndex); bitIndex--; // Left bottom corner. matrix.setBoolean(i, matrix.getHeight() - 11 + j, bit); // Right bottom corner. matrix.setBoolean(matrix.getHeight() - 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(TYPESCRIPTPORT: 255). // See 8.7 of JISX0510:2004 (p.38) for how to embed data bits. public static embedDataBits(dataBits: BitArray, maskPattern: number /*int*/, matrix: ByteMatrix): void { let bitIndex = 0; let direction = -1; // Start from the right bottom cell. let x = matrix.getWidth() - 1; let y = matrix.getHeight() - 1; while (x > 0) { // Skip the vertical timing pattern. if (x === 6) { x -= 1; } while (y >= 0 && y < matrix.getHeight()) { for (let i = 0; i < 2; ++i) { const xx = x - i; // Skip the cell if it's not empty. if (!MatrixUtil.isEmpty(matrix.get(xx, y))) { continue; } let bit: boolean; if (bitIndex < dataBits.getSize()) { bit = dataBits.get(bitIndex); ++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 = false; } // Skip masking if mask_pattern is -1 (TYPESCRIPTPORT: 255). if (maskPattern !== 255 && MaskUtil.getDataMaskBit(maskPattern, xx, y)) { bit = !bit; } matrix.setBoolean(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.getSize()) { throw new Exception(Exception.WriterException, 'Not all bits consumed: ' + bitIndex + '/' + dataBits.getSize()); } } // Return the position of the most significant bit set (one: to) 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 public static findMSBSet(value: number /*int*/): number /*int*/ { return 32 - Integer.numberOfLeadingZeros(value); } // 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^1 + x^0 // 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 coefficients are positive or negative. public static calculateBCHCode(value: number /*int*/, poly: number /*int*/): number /*int*/ { if (poly === 0) { throw new Exception(Exception.IllegalArgumentException, '0 polynomial'); } // If poly is "1 1111 0010 0101" (version info poly), msbSetInPoly is 13. We'll subtract 1 // from 13 to make it 12. const msbSetInPoly = MatrixUtil.findMSBSet(poly); value <<= msbSetInPoly - 1; // Do the division business using exclusive-or operations. while (MatrixUtil.findMSBSet(value) >= msbSetInPoly) { value ^= poly << (MatrixUtil.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. public static makeTypeInfoBits(ecLevel: ErrorCorrectionLevel, maskPattern: number /*int*/, bits: BitArray): void { if (!QRCode.isValidMaskPattern(maskPattern)) { throw new Exception(Exception.WriterException, 'Invalid mask pattern'); } const typeInfo = (ecLevel.getBits() << 3) | maskPattern; bits.appendBits(typeInfo, 5); const bchCode = MatrixUtil.calculateBCHCode(typeInfo, MatrixUtil.TYPE_INFO_POLY); bits.appendBits(bchCode, 10); const maskBits = new BitArray(); maskBits.appendBits(MatrixUtil.TYPE_INFO_MASK_PATTERN, 15); bits.xor(maskBits); if (bits.getSize() !== 15) { // Just in case. throw new Exception(Exception.WriterException, 'should not happen but we got: ' + bits.getSize()); } } // 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. public static makeVersionInfoBits(version: Version, bits: BitArray): void /*throws WriterException*/ { bits.appendBits(version.getVersionNumber(), 6); const bchCode = MatrixUtil.calculateBCHCode(version.getVersionNumber(), MatrixUtil.VERSION_INFO_POLY); bits.appendBits(bchCode, 12); if (bits.getSize() !== 18) { // Just in case. throw new Exception(Exception.WriterException, 'should not happen but we got: ' + bits.getSize()); } } // Check if "value" is empty. private static isEmpty(value: number /*int*/): boolean { return value === 255; // -1 } private static embedTimingPatterns(matrix: ByteMatrix): void { // -8 is for skipping position detection patterns (7: size), and two horizontal/vertical // separation patterns (1: size). Thus, 8 = 7 + 1. for (let i = 8; i < matrix.getWidth() - 8; ++i) { const bit = (i + 1) % 2; // Horizontal line. if (MatrixUtil.isEmpty(matrix.get(i, 6))) { matrix.setNumber(i, 6, bit); } // Vertical line. if (MatrixUtil.isEmpty(matrix.get(6, i))) { matrix.setNumber(6, i, bit); } } } // Embed the lonely dark dot at left bottom corner. JISX0510:2004 (p.46) private static embedDarkDotAtLeftBottomCorner(matrix: ByteMatrix): void /*throws WriterException*/ { if (matrix.get(8, matrix.getHeight() - 8) === 0) { throw new Exception(Exception.WriterException); } matrix.setNumber(8, matrix.getHeight() - 8, 1); } private static embedHorizontalSeparationPattern(xStart: number /*int*/, yStart: number /*int*/, matrix: ByteMatrix): void /*throws WriterException*/ { for (let x = 0; x < 8; ++x) { if (!MatrixUtil.isEmpty(matrix.get(xStart + x, yStart))) { throw new Exception(Exception.WriterException); } matrix.setNumber(xStart + x, yStart, 0); } } private static embedVerticalSeparationPattern(xStart: number /*int*/, yStart: number /*int*/, matrix: ByteMatrix): void /*throws WriterException*/ { for (let y = 0; y < 7; ++y) { if (!MatrixUtil.isEmpty(matrix.get(xStart, yStart + y))) { throw new Exception(Exception.WriterException); } matrix.setNumber(xStart, yStart + y, 0); } } private static embedPositionAdjustmentPattern(xStart: number /*int*/, yStart: number /*int*/, matrix: ByteMatrix): void { for (let y = 0; y < 5; ++y) { const patternY: Int32Array = MatrixUtil.POSITION_ADJUSTMENT_PATTERN[y]; for (let x = 0; x < 5; ++x) { matrix.setNumber(xStart + x, yStart + y, patternY[x]); } } } private static embedPositionDetectionPattern(xStart: number /*int*/, yStart: number /*int*/, matrix: ByteMatrix): void { for (let y = 0; y < 7; ++y) { const patternY: Int32Array = MatrixUtil.POSITION_DETECTION_PATTERN[y]; for (let x = 0; x < 7; ++x) { matrix.setNumber(xStart + x, yStart + y, patternY[x]); } } } // Embed position detection patterns and surrounding vertical/horizontal separators. private static embedPositionDetectionPatternsAndSeparators(matrix: ByteMatrix): void /*throws WriterException*/ { // Embed three big squares at corners. const pdpWidth = MatrixUtil.POSITION_DETECTION_PATTERN[0].length; // Left top corner. MatrixUtil.embedPositionDetectionPattern(0, 0, matrix); // Right top corner. MatrixUtil.embedPositionDetectionPattern(matrix.getWidth() - pdpWidth, 0, matrix); // Left bottom corner. MatrixUtil.embedPositionDetectionPattern(0, matrix.getWidth() - pdpWidth, matrix); // Embed horizontal separation patterns around the squares. const hspWidth = 8; // Left top corner. MatrixUtil.embedHorizontalSeparationPattern(0, hspWidth - 1, matrix); // Right top corner. MatrixUtil.embedHorizontalSeparationPattern(matrix.getWidth() - hspWidth, hspWidth - 1, matrix); // Left bottom corner. MatrixUtil.embedHorizontalSeparationPattern(0, matrix.getWidth() - hspWidth, matrix); // Embed vertical separation patterns around the squares. const vspSize = 7; // Left top corner. MatrixUtil.embedVerticalSeparationPattern(vspSize, 0, matrix); // Right top corner. MatrixUtil.embedVerticalSeparationPattern(matrix.getHeight() - vspSize - 1, 0, matrix); // Left bottom corner. MatrixUtil.embedVerticalSeparationPattern(vspSize, matrix.getHeight() - vspSize, matrix); } // Embed position adjustment patterns if need be. private static maybeEmbedPositionAdjustmentPatterns(version: Version, matrix: ByteMatrix): void { if (version.getVersionNumber() < 2) { // The patterns appear if version >= 2 return; } const index = version.getVersionNumber() - 1; const coordinates: Int32Array = MatrixUtil.POSITION_ADJUSTMENT_PATTERN_COORDINATE_TABLE[index]; for (let i = 0, length = coordinates.length; i !== length; i++) { const y = coordinates[i]; if (y >= 0) { for (let j = 0; j !== length; j++) { const x = coordinates[j]; if (x >= 0 && MatrixUtil.isEmpty(matrix.get(x, y))) { // If the cell is unset, we embed the position adjustment pattern here. // -2 is necessary since the x/y coordinates point to the center of the pattern, not the // left top corner. MatrixUtil.embedPositionAdjustmentPattern(x - 2, y - 2, matrix); } } } } } }