/* * QR Code generator library (TypeScript) * * Copyright (c) Project Nayuki. (MIT License) * https://www.nayuki.io/page/qr-code-generator-library * * Permission is hereby granted, free of charge, to any person obtaining a copy of * this software and associated documentation files (the "Software"), to deal in * the Software without restriction, including without limitation the rights to * use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of * the Software, and to permit persons to whom the Software is furnished to do so, * subject to the following conditions: * - The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * - The Software is provided "as is", without warranty of any kind, express or * implied, including but not limited to the warranties of merchantability, * fitness for a particular purpose and noninfringement. In no event shall the * authors or copyright holders be liable for any claim, damages or other * liability, whether in an action of contract, tort or otherwise, arising from, * out of or in connection with the Software or the use or other dealings in the * Software. */ "use strict"; namespace qrcodegen { type bit = number; type byte = number; type int = number; /*---- QR Code symbol class ----*/ /* * A class that represents an immutable square grid of black and white cells for a QR Code symbol, * with associated static functions to create a QR Code from user-supplied textual or binary data. * This class covers the QR Code model 2 specification, supporting all versions (sizes) * from 1 to 40, all 4 error correction levels. * This constructor creates a new QR Code symbol with the given version number, error correction level, binary data array, * and mask number. mask = -1 is for automatic choice, or 0 to 7 for fixed choice. This is a cumbersome low-level constructor * that should not be invoked directly by the user. To go one level up, see the QrCode.encodeSegments() function. */ export class QrCode { /*-- Public static factory functions --*/ // Returns a QR Code symbol representing the specified Unicode text string at the specified error correction level. // As a conservative upper bound, this function is guaranteed to succeed for strings that have 738 or fewer // Unicode code points (not UTF-16 code units) if the low error correction level is used. The smallest possible // QR Code version is automatically chosen for the output. The ECC level of the result may be higher than the // ecl argument if it can be done without increasing the version. public static encodeText(text: string, ecl: QrCode_Ecc): QrCode { let segs: Array = qrcodegen.QrSegment.makeSegments(text); return QrCode.encodeSegments(segs, ecl); } // Returns a QR Code symbol representing the given binary data string at the given error correction level. // This function always encodes using the binary segment mode, not any text mode. The maximum number of // bytes allowed is 2953. The smallest possible QR Code version is automatically chosen for the output. // The ECC level of the result may be higher than the ecl argument if it can be done without increasing the version. public static encodeBinary(data: Array, ecl: QrCode_Ecc): QrCode { let seg: QrSegment = qrcodegen.QrSegment.makeBytes(data); return QrCode.encodeSegments([seg], ecl); } // Returns a QR Code symbol representing the given data segments with the given encoding parameters. // The smallest possible QR Code version within the given range is automatically chosen for the output. // This function allows the user to create a custom sequence of segments that switches // between modes (such as alphanumeric and binary) to encode text more efficiently. // This function is considered to be lower level than simply encoding text or binary data. public static encodeSegments(segs: Array, ecl: QrCode_Ecc, minVersion: int = 1, maxVersion: int = 1, mask: int = -1, boostEcl: boolean = true): QrCode { if (!(QrCode.MIN_VERSION <= minVersion && minVersion <= maxVersion && maxVersion <= QrCode.MAX_VERSION) || mask < -1 || mask > 7) throw "Invalid value"; // Find the minimal version number to use let version: int; let dataUsedBits: int; for (version = minVersion; ; version++) { let dataCapacityBits: int = QrCode.getNumDataCodewords(version, ecl) * 8; // Number of data bits available let usedBits: number|null = QrSegment.getTotalBits(segs, version); if (usedBits != null && usedBits <= dataCapacityBits) { dataUsedBits = usedBits; break; // This version number is found to be suitable } if (version >= maxVersion) // All versions in the range could not fit the given data throw "Data too long"; } // Increase the error correction level while the data still fits in the current version number [QrCode_Ecc.MEDIUM, QrCode_Ecc.QUARTILE, QrCode_Ecc.HIGH].forEach((newEcl: QrCode_Ecc) => { // From low to high if (boostEcl && dataUsedBits <= QrCode.getNumDataCodewords(version, newEcl) * 8) ecl = newEcl; }); // Concatenate all segments to create the data bit string let dataCapacityBits: int = QrCode.getNumDataCodewords(version, ecl) * 8; let bb = new BitBuffer(); segs.forEach((seg: QrSegment) => { bb.appendBits(seg.mode.modeBits, 4); bb.appendBits(seg.numChars, seg.mode.numCharCountBits(version)); seg.getBits().forEach( (b: bit) => bb.push(b)); }); // Add terminator and pad up to a byte if applicable bb.appendBits(0, Math.min(4, dataCapacityBits - bb.length)); bb.appendBits(0, (8 - bb.length % 8) % 8); // Pad with alternate bytes until data capacity is reached for (let padByte = 0xEC; bb.length < dataCapacityBits; padByte ^= 0xEC ^ 0x11) bb.appendBits(padByte, 8); if (bb.length % 8 != 0) throw "Assertion error"; // Create the QR Code symbol return new QrCode(bb.getBytes(), mask, version, ecl); } /*-- Fields --*/ // This QR Code symbol's version number, which is always between 1 and 40 (inclusive). public readonly version: int; // The width and height of this QR Code symbol, measured in modules. // Always equal to version * 4 + 17, in the range 21 to 177. public readonly size: int; // The error correction level used in this QR Code symbol. public readonly errorCorrectionLevel: QrCode_Ecc; // The mask pattern used in this QR Code symbol, in the range 0 to 7 (i.e. unsigned 3-bit integer). // Note that even if the constructor was called with automatic masking requested // (mask = -1), the resulting object will still have a mask value between 0 and 7. public readonly mask: int; // The modules of this QR Code symbol (false = white, true = black). private readonly modules: Array> = []; // Indicates function modules that are not subjected to masking. private readonly isFunction: Array> = []; public constructor(datacodewords: Array, mask: int, version: int, errCorLvl: QrCode_Ecc) { // Check arguments and handle simple scalar fields if (mask < -1 || mask > 7) throw "Mask value out of range"; if (version < QrCode.MIN_VERSION || version > QrCode.MAX_VERSION) throw "Version value out of range"; this.version = version; this.size = version * 4 + 17; this.errorCorrectionLevel = errCorLvl; // Initialize both grids to be size*size arrays of Boolean false let row: Array = []; for (let i = 0; i < this.size; i++) row.push(false); for (let i = 0; i < this.size; i++) { this.modules.push(row.slice()); this.isFunction.push(row.slice()); } // Handle grid fields, draw function patterns, draw all codewords this.drawFunctionPatterns(); let allCodewords: Array = this.appendErrorCorrection(datacodewords); this.drawCodewords(allCodewords); // Handle masking if (mask == -1) { // Automatically choose best mask let minPenalty: int = 1000000000; for (let i = 0; i < 8; i++) { this.drawFormatBits(i); this.applyMask(i); let penalty: int = this.getPenaltyScore(); if (penalty < minPenalty) { mask = i; minPenalty = penalty; } this.applyMask(i); // Undoes the mask due to XOR } } if (mask < 0 || mask > 7) throw "Assertion error"; this.mask = mask; this.drawFormatBits(mask); // Overwrite old format bits this.applyMask(mask); // Apply the final choice of mask } /*-- Accessor methods --*/ // Returns the color of the module (pixel) at the given coordinates, which is either // false for white or true for black. The top left corner has the coordinates (x=0, y=0). // If the given coordinates are out of bounds, then false (white) is returned. public getModule(x: int, y: int): boolean { return 0 <= x && x < this.size && 0 <= y && y < this.size && this.modules[y][x]; } /*-- Public instance methods --*/ // Draws this QR Code symbol with the given module scale and number of modules onto the given HTML canvas element. // The canvas will be resized to a width and height of (this.size + border * 2) * scale. The painted image will be purely // black and white with no transparent regions. The scale must be a positive integer, and the border must be a non-negative integer. public drawCanvas(scale: int, border: int, canvas: HTMLCanvasElement): void { if (scale <= 0 || border < 0) throw "Value out of range"; let width: int = (this.size + border * 2) * scale; canvas.width = width; canvas.height = width; let ctx = canvas.getContext("2d") as CanvasRenderingContext2D; for (let y = -border; y < this.size + border; y++) { for (let x = -border; x < this.size + border; x++) { ctx.fillStyle = this.getModule(x, y) ? "#000000" : "#FFFFFF"; ctx.fillRect((x + border) * scale, (y + border) * scale, scale, scale); } } } // Based on the given number of border modules to add as padding, this returns a // string whose contents represents an SVG XML file that depicts this QR Code symbol. // Note that Unix newlines (\n) are always used, regardless of the platform. public toSvgString(border: int): string { if (border < 0) throw "Border must be non-negative"; let parts: Array = []; for (let y = 0; y < this.size; y++) { for (let x = 0; x < this.size; x++) { if (this.getModule(x, y)) parts.push(`M${x + border},${y + border}h1v1h-1z`); } } return ` ` } /*-- Private helper methods for constructor: Drawing function modules --*/ // Reads this object's version field, and draws and marks all function modules. private drawFunctionPatterns(): void { // Draw horizontal and vertical timing patterns for (let i = 0; i < this.size; i++) { this.setFunctionModule(6, i, i % 2 == 0); this.setFunctionModule(i, 6, i % 2 == 0); } // Draw 3 finder patterns (all corners except bottom right; overwrites some timing modules) this.drawFinderPattern(3, 3); this.drawFinderPattern(this.size - 4, 3); this.drawFinderPattern(3, this.size - 4); // Draw numerous alignment patterns let alignPatPos: Array = QrCode.getAlignmentPatternPositions(this.version); let numAlign: int = alignPatPos.length; for (let i = 0; i < numAlign; i++) { for (let j = 0; j < numAlign; j++) { if (i == 0 && j == 0 || i == 0 && j == numAlign - 1 || i == numAlign - 1 && j == 0) continue; // Skip the three finder corners else this.drawAlignmentPattern(alignPatPos[i], alignPatPos[j]); } } // Draw configuration data this.drawFormatBits(0); // Dummy mask value; overwritten later in the constructor this.drawVersion(); } // Draws two copies of the format bits (with its own error correction code) // based on the given mask and this object's error correction level field. private drawFormatBits(mask: int): void { // Calculate error correction code and pack bits const data: int = this.errorCorrectionLevel.formatBits << 3 | mask; // errCorrLvl is uint2, mask is uint3 let rem: int = data; for (let i = 0; i < 10; i++) rem = (rem << 1) ^ ((rem >>> 9) * 0x537); const bits = (data << 10 | rem) ^ 0x5412; // uint15 if (bits >>> 15 != 0) throw "Assertion error"; // Draw first copy for (let i = 0; i <= 5; i++) this.setFunctionModule(8, i, getBit(bits, i)); this.setFunctionModule(8, 7, getBit(bits, 6)); this.setFunctionModule(8, 8, getBit(bits, 7)); this.setFunctionModule(7, 8, getBit(bits, 8)); for (let i = 9; i < 15; i++) this.setFunctionModule(14 - i, 8, getBit(bits, i)); // Draw second copy for (let i = 0; i <= 7; i++) this.setFunctionModule(this.size - 1 - i, 8, getBit(bits, i)); for (let i = 8; i < 15; i++) this.setFunctionModule(8, this.size - 15 + i, getBit(bits, i)); this.setFunctionModule(8, this.size - 8, true); // Always black } // Draws two copies of the version bits (with its own error correction code), // based on this object's version field, iff 7 <= version <= 40. private drawVersion(): void { if (this.version < 7) return; // Calculate error correction code and pack bits let rem: int = this.version; // version is uint6, in the range [7, 40] for (let i = 0; i < 12; i++) rem = (rem << 1) ^ ((rem >>> 11) * 0x1F25); const bits: int = this.version << 12 | rem; // uint18 if (bits >>> 18 != 0) throw "Assertion error"; // Draw two copies for (let i = 0; i < 18; i++) { let bt: boolean = getBit(bits, i); let a: int = this.size - 11 + i % 3; let b: int = Math.floor(i / 3); this.setFunctionModule(a, b, bt); this.setFunctionModule(b, a, bt); } } // Draws a 9*9 finder pattern including the border separator, // with the center module at (x, y). Modules can be out of bounds. private drawFinderPattern(x: int, y: int): void { for (let i = -4; i <= 4; i++) { for (let j = -4; j <= 4; j++) { let dist: int = Math.max(Math.abs(i), Math.abs(j)); // Chebyshev/infinity norm let xx: int = x + j; let yy: int = y + i; if (0 <= xx && xx < this.size && 0 <= yy && yy < this.size) this.setFunctionModule(xx, yy, dist != 2 && dist != 4); } } } // Draws a 5*5 alignment pattern, with the center module // at (x, y). All modules must be in bounds. private drawAlignmentPattern(x: int, y: int): void { for (let i = -2; i <= 2; i++) { for (let j = -2; j <= 2; j++) this.setFunctionModule(x + j, y + i, Math.max(Math.abs(i), Math.abs(j)) != 1); } } // Sets the color of a module and marks it as a function module. // Only used by the constructor. Coordinates must be in bounds. private setFunctionModule(x: int, y: int, isBlack: boolean): void { this.modules[y][x] = isBlack; this.isFunction[y][x] = true; } /*-- Private helper methods for constructor: Codewords and masking --*/ // Returns a new byte string representing the given data with the appropriate error correction // codewords appended to it, based on this object's version and error correction level. private appendErrorCorrection(data: Array): Array { const ver: int = this.version; const ecl: QrCode_Ecc = this.errorCorrectionLevel; if (data.length != QrCode.getNumDataCodewords(ver, ecl)) throw "Invalid argument"; // Calculate parameter numbers let numBlocks: int = QrCode_NUM_ERROR_CORRECTION_BLOCKS[ecl.ordinal][ver]; let blockEccLen: int = QrCode_ECC_CODEWORDS_PER_BLOCK[ecl.ordinal][ver]; let rawCodewords: int = Math.floor(QrCode.getNumRawDataModules(ver) / 8); let numShortBlocks: int = numBlocks - rawCodewords % numBlocks; let shortBlockLen: int = Math.floor(rawCodewords / numBlocks); // Split data into blocks and append ECC to each block let blocks: Array> = []; let rs = new ReedSolomonGenerator(blockEccLen); for (let i = 0, k = 0; i < numBlocks; i++) { let dat: Array = data.slice(k, k + shortBlockLen - blockEccLen + (i < numShortBlocks ? 0 : 1)); k += dat.length; let ecc: Array = rs.getRemainder(dat); if (i < numShortBlocks) dat.push(0); ecc.forEach( (b: byte) => dat.push(b)); blocks.push(dat); } // Interleave (not concatenate) the bytes from every block into a single sequence let result: Array = []; for (let i = 0; i < blocks[0].length; i++) { for (let j = 0; j < blocks.length; j++) { // Skip the padding byte in short blocks if (i != shortBlockLen - blockEccLen || j >= numShortBlocks) result.push(blocks[j][i]); } } if (result.length != rawCodewords) throw "Assertion error"; return result; } // Draws the given sequence of 8-bit codewords (data and error correction) onto the entire // data area of this QR Code symbol. Function modules need to be marked off before this is called. private drawCodewords(data: Array): void { if (data.length != Math.floor(QrCode.getNumRawDataModules(this.version) / 8)) throw "Invalid argument"; let i: int = 0; // Bit index into the data // Do the funny zigzag scan for (let right = this.size - 1; right >= 1; right -= 2) { // Index of right column in each column pair if (right == 6) right = 5; for (let vert = 0; vert < this.size; vert++) { // Vertical counter for (let j = 0; j < 2; j++) { let x: int = right - j; // Actual x coordinate let upward: boolean = ((right + 1) & 2) == 0; let y: int = upward ? this.size - 1 - vert : vert; // Actual y coordinate if (!this.isFunction[y][x] && i < data.length * 8) { this.modules[y][x] = getBit(data[i >>> 3], 7 - (i & 7)); i++; } // If there are any remainder bits (0 to 7), they are already // set to 0/false/white when the grid of modules was initialized } } } if (i != data.length * 8) throw "Assertion error"; } // XORs the codeword modules in this QR Code with the given mask pattern. // The function modules must be marked and the codeword bits must be drawn // before masking. Due to the arithmetic of XOR, calling applyMask() with // the same mask value a second time will undo the mask. A final well-formed // QR Code symbol needs exactly one (not zero, two, etc.) mask applied. private applyMask(mask: int): void { if (mask < 0 || mask > 7) throw "Mask value out of range"; for (let y = 0; y < this.size; y++) { for (let x = 0; x < this.size; x++) { let invert: boolean; switch (mask) { case 0: invert = (x + y) % 2 == 0; break; case 1: invert = y % 2 == 0; break; case 2: invert = x % 3 == 0; break; case 3: invert = (x + y) % 3 == 0; break; case 4: invert = (Math.floor(x / 3) + Math.floor(y / 2)) % 2 == 0; break; case 5: invert = x * y % 2 + x * y % 3 == 0; break; case 6: invert = (x * y % 2 + x * y % 3) % 2 == 0; break; case 7: invert = ((x + y) % 2 + x * y % 3) % 2 == 0; break; default: throw "Assertion error"; } if (invert && !this.isFunction[y][x]) this.modules[y][x] = !this.modules[y][x]; } } } // Calculates and returns the penalty score based on state of this QR Code's current modules. // This is used by the automatic mask choice algorithm to find the mask pattern that yields the lowest score. private getPenaltyScore(): int { let result: int = 0; // Adjacent modules in row having same color for (let y = 0; y < this.size; y++) { for (let x = 0, runX = 0, colorX = false; x < this.size; x++) { if (x == 0 || this.modules[y][x] != colorX) { colorX = this.modules[y][x]; runX = 1; } else { runX++; if (runX == 5) result += QrCode.PENALTY_N1; else if (runX > 5) result++; } } } // Adjacent modules in column having same color for (let x = 0; x < this.size; x++) { for (let y = 0, runY = 0, colorY = false; y < this.size; y++) { if (y == 0 || this.modules[y][x] != colorY) { colorY = this.modules[y][x]; runY = 1; } else { runY++; if (runY == 5) result += QrCode.PENALTY_N1; else if (runY > 5) result++; } } } // 2*2 blocks of modules having same color for (let y = 0; y < this.size - 1; y++) { for (let x = 0; x < this.size - 1; x++) { let color: boolean = this.modules[y][x]; if ( color == this.modules[y][x + 1] && color == this.modules[y + 1][x] && color == this.modules[y + 1][x + 1]) result += QrCode.PENALTY_N2; } } // Finder-like pattern in rows for (let y = 0; y < this.size; y++) { for (let x = 0, bits = 0; x < this.size; x++) { bits = ((bits << 1) & 0x7FF) | (this.modules[y][x] ? 1 : 0); if (x >= 10 && (bits == 0x05D || bits == 0x5D0)) // Needs 11 bits accumulated result += QrCode.PENALTY_N3; } } // Finder-like pattern in columns for (let x = 0; x < this.size; x++) { for (let y = 0, bits = 0; y < this.size; y++) { bits = ((bits << 1) & 0x7FF) | (this.modules[y][x] ? 1 : 0); if (y >= 10 && (bits == 0x05D || bits == 0x5D0)) // Needs 11 bits accumulated result += QrCode.PENALTY_N3; } } // Balance of black and white modules let black: int = 0; this.modules.forEach((row: Array) => { row.forEach((color: boolean) => { if (color) black++; }); }); let total: int = this.size * this.size; // Find smallest k such that (45-5k)% <= dark/total <= (55+5k)% for (let k = 0; black*20 < (9-k)*total || black*20 > (11+k)*total; k++) result += QrCode.PENALTY_N4; return result; } /*-- Private static helper functions QrCode --*/ // Returns a sequence of positions of the alignment patterns in ascending order. These positions are // used on both the x and y axes. Each value in the resulting sequence is in the range [0, 177). // This stateless pure function could be implemented as table of 40 variable-length lists of integers. private static getAlignmentPatternPositions(ver: int): Array { if (ver < QrCode.MIN_VERSION || ver > QrCode.MAX_VERSION) throw "Version number out of range"; else if (ver == 1) return []; else { let size: int = ver * 4 + 17; let numAlign: int = Math.floor(ver / 7) + 2; let step: int = (ver == 32) ? 26 : Math.ceil((size - 13) / (numAlign*2 - 2)) * 2; let result: Array = [6]; for (let i = 0, pos = size - 7; i < numAlign - 1; i++, pos -= step) result.splice(1, 0, pos); return result; } } // Returns the number of data bits that can be stored in a QR Code of the given version number, after // all function modules are excluded. This includes remainder bits, so it might not be a multiple of 8. // The result is in the range [208, 29648]. This could be implemented as a 40-entry lookup table. private static getNumRawDataModules(ver: int): int { if (ver < QrCode.MIN_VERSION || ver > QrCode.MAX_VERSION) throw "Version number out of range"; let result: int = (16 * ver + 128) * ver + 64; if (ver >= 2) { let numAlign: int = Math.floor(ver / 7) + 2; result -= (25 * numAlign - 10) * numAlign - 55; if (ver >= 7) result -= 18 * 2; // Subtract version information } return result; } // Returns the number of 8-bit data (i.e. not error correction) codewords contained in any // QR Code of the given version number and error correction level, with remainder bits discarded. // This stateless pure function could be implemented as a (40*4)-cell lookup table. private static getNumDataCodewords(ver: int, ecl: QrCode_Ecc): int { if (ver < QrCode.MIN_VERSION || ver > QrCode.MAX_VERSION) throw "Version number out of range"; return Math.floor(QrCode.getNumRawDataModules(ver) / 8) - QrCode_ECC_CODEWORDS_PER_BLOCK[ecl.ordinal][ver] * QrCode_NUM_ERROR_CORRECTION_BLOCKS[ecl.ordinal][ver]; } /*-- Constants --*/ public static get MIN_VERSION(): int { return 1; } public static get MAX_VERSION(): int { return 40; } // For use in getPenaltyScore(), when evaluating which mask is best. private static get PENALTY_N1(): int { return 3; } private static get PENALTY_N2(): int { return 3; } private static get PENALTY_N3(): int { return 40; } private static get PENALTY_N4(): int { return 10; } } /*-- Private tables of constants --*/ const QrCode_ECC_CODEWORDS_PER_BLOCK: Array> = [ // Version: (note that index 0 is for padding, and is set to an illegal value) //0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 Error correction level [-1, 7, 10, 15, 20, 26, 18, 20, 24, 30, 18, 20, 24, 26, 30, 22, 24, 28, 30, 28, 28, 28, 28, 30, 30, 26, 28, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30], // Low [-1, 10, 16, 26, 18, 24, 16, 18, 22, 22, 26, 30, 22, 22, 24, 24, 28, 28, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28], // Medium [-1, 13, 22, 18, 26, 18, 24, 18, 22, 20, 24, 28, 26, 24, 20, 30, 24, 28, 28, 26, 30, 28, 30, 30, 30, 30, 28, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30], // Quartile [-1, 17, 28, 22, 16, 22, 28, 26, 26, 24, 28, 24, 28, 22, 24, 24, 30, 28, 28, 26, 28, 30, 24, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30], // High ]; const QrCode_NUM_ERROR_CORRECTION_BLOCKS: Array> = [ // Version: (note that index 0 is for padding, and is set to an illegal value) //0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 Error correction level [-1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 8, 8, 9, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 24, 25], // Low [-1, 1, 1, 1, 2, 2, 4, 4, 4, 5, 5, 5, 8, 9, 9, 10, 10, 11, 13, 14, 16, 17, 17, 18, 20, 21, 23, 25, 26, 28, 29, 31, 33, 35, 37, 38, 40, 43, 45, 47, 49], // Medium [-1, 1, 1, 2, 2, 4, 4, 6, 6, 8, 8, 8, 10, 12, 16, 12, 17, 16, 18, 21, 20, 23, 23, 25, 27, 29, 34, 34, 35, 38, 40, 43, 45, 48, 51, 53, 56, 59, 62, 65, 68], // Quartile [-1, 1, 1, 2, 4, 4, 4, 5, 6, 8, 8, 11, 11, 16, 16, 18, 16, 19, 21, 25, 25, 25, 34, 30, 32, 35, 37, 40, 42, 45, 48, 51, 54, 57, 60, 63, 66, 70, 74, 77, 81], // High ]; // Returns true iff the i'th bit of x is set to 1. function getBit(x: int, i: int): boolean { return ((x >>> i) & 1) != 0; } /*---- Public helper enumeration ----*/ /* * Represents the error correction level used in a QR Code symbol. */ export class QrCode_Ecc { /*-- Constants --*/ public static get LOW () { return new QrCode_Ecc(0, 1); } public static get MEDIUM () { return new QrCode_Ecc(1, 0); } public static get QUARTILE() { return new QrCode_Ecc(2, 3); } public static get HIGH () { return new QrCode_Ecc(3, 2); } /*-- Fields --*/ // In the range 0 to 3 (unsigned 2-bit integer). public readonly ordinal: int; // (Package-private) In the range 0 to 3 (unsigned 2-bit integer). public readonly formatBits: int; /*-- Constructor --*/ private constructor(ord: int, fb: int) { this.ordinal = ord; this.formatBits = fb; } } /*---- Data segment class ----*/ /* * A public class that represents a character string to be encoded in a QR Code symbol. * Each segment has a mode, and a sequence of characters that is already encoded as * a sequence of bits. Instances of this class are immutable. * This segment class imposes no length restrictions, but QR Codes have restrictions. * Even in the most favorable conditions, a QR Code can only hold 7089 characters of data. * Any segment longer than this is meaningless for the purpose of generating QR Codes. */ export class QrSegment { /*-- Static factory functions --*/ // Returns a segment representing the given binary data encoded in byte mode. public static makeBytes(data: Array): QrSegment { let bb = new BitBuffer(); data.forEach( (b: byte) => bb.appendBits(b, 8)); return new QrSegment(QrSegment_Mode.BYTE, data.length, bb); } // Returns a segment representing the given string of decimal digits encoded in numeric mode. public static makeNumeric(digits: string): QrSegment { if (!this.NUMERIC_REGEX.test(digits)) throw "String contains non-numeric characters"; let bb = new BitBuffer(); let i: int; for (i = 0; i + 3 <= digits.length; i += 3) // Process groups of 3 bb.appendBits(parseInt(digits.substr(i, 3), 10), 10); let rem: int = digits.length - i; if (rem > 0) // 1 or 2 digits remaining bb.appendBits(parseInt(digits.substring(i), 10), rem * 3 + 1); return new QrSegment(QrSegment_Mode.NUMERIC, digits.length, bb); } // Returns a segment representing the given text string encoded in alphanumeric mode. // The characters allowed are: 0 to 9, A to Z (uppercase only), space, // dollar, percent, asterisk, plus, hyphen, period, slash, colon. public static makeAlphanumeric(text: string): QrSegment { if (!this.ALPHANUMERIC_REGEX.test(text)) throw "String contains unencodable characters in alphanumeric mode"; let bb = new BitBuffer(); let i: int; for (i = 0; i + 2 <= text.length; i += 2) { // Process groups of 2 let temp: int = QrSegment.ALPHANUMERIC_CHARSET.indexOf(text.charAt(i)) * 45; temp += QrSegment.ALPHANUMERIC_CHARSET.indexOf(text.charAt(i + 1)); bb.appendBits(temp, 11); } if (i < text.length) // 1 character remaining bb.appendBits(QrSegment.ALPHANUMERIC_CHARSET.indexOf(text.charAt(i)), 6); return new QrSegment(QrSegment_Mode.ALPHANUMERIC, text.length, bb); } // Returns a new mutable list of zero or more segments to represent the given Unicode text string. // The result may use various segment modes and switch modes to optimize the length of the bit stream. public static makeSegments(text: string): Array { // Select the most efficient segment encoding automatically if (text == "") return []; else if (this.NUMERIC_REGEX.test(text)) return [QrSegment.makeNumeric(text)]; else if (this.ALPHANUMERIC_REGEX.test(text)) return [QrSegment.makeAlphanumeric(text)]; else return [QrSegment.makeBytes(QrSegment.toUtf8ByteArray(text))]; } // Returns a segment representing an Extended Channel Interpretation // (ECI) designator with the given assignment value. public static makeEci(assignVal: int): QrSegment { let bb = new BitBuffer(); if (0 <= assignVal && assignVal < (1 << 7)) bb.appendBits(assignVal, 8); else if ((1 << 7) <= assignVal && assignVal < (1 << 14)) { bb.appendBits(2, 2); bb.appendBits(assignVal, 14); } else if ((1 << 14) <= assignVal && assignVal < 1000000) { bb.appendBits(6, 3); bb.appendBits(assignVal, 21); } else throw "ECI assignment value out of range"; return new QrSegment(QrSegment_Mode.ECI, 0, bb); } /*-- Fields --*/ // The mode indicator for this segment. public readonly mode: QrSegment_Mode; // The length of this segment's unencoded data, measured in characters. Always zero or positive. public readonly numChars: int; private readonly bitData: Array; /*-- Constructor --*/ public constructor(mode: QrSegment_Mode, numChars: int, bitData: Array) { if (numChars < 0) throw "Invalid argument"; this.mode = mode; this.numChars = numChars; this.bitData = bitData.slice(); // Make defensive copy } /*-- Methods --*/ // Returns a copy of all bits, which is an array of 0s and 1s. public getBits(): Array { return this.bitData.slice(); // Make defensive copy } // Package-private helper function. public static getTotalBits(segs: Array, version: int): int|null { if (version < QrCode.MIN_VERSION || version > QrCode.MAX_VERSION) throw "Version number out of range"; let result: int = 0; for (let i = 0; i < segs.length; i++) { let seg: QrSegment = segs[i]; let ccbits: int = seg.mode.numCharCountBits(version); // Fail if segment length value doesn't fit in the length field's bit-width if (seg.numChars >= (1 << ccbits)) return null; result += 4 + ccbits + seg.getBits().length; } return result; } // Returns a new array of bytes representing the given string encoded in UTF-8. private static toUtf8ByteArray(str: string): Array { str = encodeURI(str); let result: Array = []; for (let i = 0; i < str.length; i++) { if (str.charAt(i) != "%") result.push(str.charCodeAt(i)); else { result.push(parseInt(str.substr(i + 1, 2), 16)); i += 2; } } return result; } /*-- Constants --*/ // Can test whether a string is encodable in numeric mode (such as by using QrSegment.makeNumeric()). public static get NUMERIC_REGEX(): RegExp { return /^[0-9]*$/; } // Can test whether a string is encodable in alphanumeric mode (such as by using QrSegment.makeAlphanumeric()). public static get ALPHANUMERIC_REGEX(): RegExp { return /^[A-Z0-9 $%*+.\/:-]*$/; } // The set of all legal characters in alphanumeric mode, where each character value maps to the index in the string. private static get ALPHANUMERIC_CHARSET(): string { return "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ $%*+-./:"; } } /*---- Public helper enumeration ----*/ /* * Represents the mode field of a segment. Immutable. */ export class QrSegment_Mode { /*-- Constants --*/ public static get NUMERIC () { return new QrSegment_Mode(0x1, [10, 12, 14]); } public static get ALPHANUMERIC() { return new QrSegment_Mode(0x2, [ 9, 11, 13]); } public static get BYTE () { return new QrSegment_Mode(0x4, [ 8, 16, 16]); } public static get KANJI () { return new QrSegment_Mode(0x8, [ 8, 10, 12]); } public static get ECI () { return new QrSegment_Mode(0x7, [ 0, 0, 0]); } /*-- Fields --*/ // An unsigned 4-bit integer value (range 0 to 15) representing the mode indicator bits for this mode object. public readonly modeBits: int; private readonly numBitsCharCount: [int,int,int]; /*-- Constructor --*/ private constructor(mode: int, ccbits: [int,int,int]) { this.modeBits = mode; this.numBitsCharCount = ccbits; } /*-- Method --*/ // (Package-private) Returns the bit width of the segment character count field for this mode object at the given version number. public numCharCountBits(ver: int): int { if ( 1 <= ver && ver <= 9) return this.numBitsCharCount[0]; else if (10 <= ver && ver <= 26) return this.numBitsCharCount[1]; else if (27 <= ver && ver <= 40) return this.numBitsCharCount[2]; else throw "Version number out of range"; } } /*---- Private helper classes ----*/ /* * Computes the Reed-Solomon error correction codewords for a sequence of data codewords * at a given degree. Objects are immutable, and the state only depends on the degree. * This class exists because each data block in a QR Code shares the same the divisor polynomial. */ class ReedSolomonGenerator { // Coefficients of the divisor polynomial, stored from highest to lowest power, excluding the leading term which // is always 1. For example the polynomial x^3 + 255x^2 + 8x + 93 is stored as the uint8 array {255, 8, 93}. private readonly coefficients: Array = []; // Creates a Reed-Solomon ECC generator for the given degree. This could be implemented // as a lookup table over all possible parameter values, instead of as an algorithm. public constructor(degree: int) { if (degree < 1 || degree > 255) throw "Degree out of range"; let coefs = this.coefficients; // Start with the monomial x^0 for (let i = 0; i < degree - 1; i++) coefs.push(0); coefs.push(1); // Compute the product polynomial (x - r^0) * (x - r^1) * (x - r^2) * ... * (x - r^{degree-1}), // drop the highest term, and store the rest of the coefficients in order of descending powers. // Note that r = 0x02, which is a generator element of this field GF(2^8/0x11D). let root = 1; for (let i = 0; i < degree; i++) { // Multiply the current product by (x - r^i) for (let j = 0; j < coefs.length; j++) { coefs[j] = ReedSolomonGenerator.multiply(coefs[j], root); if (j + 1 < coefs.length) coefs[j] ^= coefs[j + 1]; } root = ReedSolomonGenerator.multiply(root, 0x02); } } // Computes and returns the Reed-Solomon error correction codewords for the given // sequence of data codewords. The returned object is always a new byte array. // This method does not alter this object's state (because it is immutable). public getRemainder(data: Array): Array { // Compute the remainder by performing polynomial division let result: Array = this.coefficients.map(_ => 0); data.forEach((b: byte) => { let factor: byte = b ^ (result.shift() as int); result.push(0); for (let i = 0; i < result.length; i++) result[i] ^= ReedSolomonGenerator.multiply(this.coefficients[i], factor); }); return result; } // Returns the product of the two given field elements modulo GF(2^8/0x11D). The arguments and result // are unsigned 8-bit integers. This could be implemented as a lookup table of 256*256 entries of uint8. private static multiply(x: byte, y: byte): byte { if (x >>> 8 != 0 || y >>> 8 != 0) throw "Byte out of range"; // Russian peasant multiplication let z: int = 0; for (let i = 7; i >= 0; i--) { z = (z << 1) ^ ((z >>> 7) * 0x11D); z ^= ((y >>> i) & 1) * x; } if (z >>> 8 != 0) throw "Assertion error"; return z as byte; } } /* * An appendable sequence of bits. The implicit constructor creates an empty bit buffer (length 0). */ class BitBuffer extends Array { // Packs this buffer's bits into bytes in big endian, // padding with '0' bit values, and returns the new array. public getBytes(): Array { let result: Array = []; while (result.length * 8 < this.length) result.push(0); this.forEach((b: bit, i: int) => result[i >>> 3] |= b << (7 - (i & 7))); return result; } // Appends the given number of low bits of the given // value to this sequence. Requires 0 <= val < 2^len. public appendBits(val: int, len: int): void { if (len < 0 || len > 31 || val >>> len != 0) throw "Value out of range"; for (let i = len - 1; i >= 0; i--) // Append bit by bit this.push((val >>> i) & 1); } } }