"""Small QR encoder for the UI's byte-mode, error-correction-level-L codes.""" import numpy as np import pyray as rl # Indexes are QR versions. These are the only two Reed-Solomon parameters needed # for error-correction level L. _ECC_LEN = (0, 7, 10, 15, 20, 26, 18, 20, 24, 30, 18, 20, 24, 26, 30, 22, 24, 28, 30, 28, 28) _NUM_BLOCKS = (0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 8) # 15 format-info bits for level L (01) with mask 0: ((0x08 << 10) | bch_remainder) ^ 0x5412 _FORMAT_BITS = 0b111011111000100 def _raw_modules(version: int) -> int: result = (16 * version + 128) * version + 64 if version >= 2: align = version // 7 + 2 result -= (25 * align - 10) * align - 55 return result - (36 if version >= 7 else 0) def _capacity(version: int) -> int: return _raw_modules(version) // 8 - _ECC_LEN[version] * _NUM_BLOCKS[version] def _append_bits(bits: list[int], value: int, length: int) -> None: bits.extend((value >> i) & 1 for i in range(length - 1, -1, -1)) def _data_codewords(data: bytes, version: int) -> bytes: """Byte-mode-encode the payload, terminated and padded to the version's capacity.""" capacity = _capacity(version) bits: list[int] = [] _append_bits(bits, 4, 4) # byte mode _append_bits(bits, len(data), 8 if version <= 9 else 16) for value in data: _append_bits(bits, value, 8) bits.extend([0] * min(4, capacity * 8 - len(bits))) # terminator bits.extend([0] * (-len(bits) % 8)) # byte alignment result = bytearray(sum(bits[i + j] << (7 - j) for j in range(8)) for i in range(0, len(bits), 8)) pad = (0xEC, 0x11) while len(result) < capacity: result.append(pad[(len(result) - (len(bits) // 8)) & 1]) return bytes(result) def _codewords(data: bytes, version: int) -> bytes: """Split data codewords into Reed-Solomon blocks and interleave data + ECC.""" data = _data_codewords(data, version) num_blocks = _NUM_BLOCKS[version] ecc_len = _ECC_LEN[version] raw_codewords = _raw_modules(version) // 8 short_len = raw_codewords // num_blocks num_short = num_blocks - raw_codewords % num_blocks divisor = _divisor(ecc_len) blocks: list[tuple[bytes, bytes]] = [] offset = 0 for i in range(num_blocks): length = short_len - ecc_len + (0 if i < num_short else 1) block = data[offset:offset + length] blocks.append((block, _remainder(block, divisor))) offset += length result = bytearray() for i in range(short_len - ecc_len + 1): for block, _ in blocks: result.extend(block[i:i + 1]) for i in range(ecc_len): for _, ecc in blocks: result.append(ecc[i]) return bytes(result) def _multiply(x: int, y: int) -> int: result = 0 for _ in range(8): result = (result << 1) ^ (0x11D if result & 0x80 else 0) if y & 0x80: result ^= x y <<= 1 return result def _divisor(degree: int) -> bytes: result = bytearray([0] * (degree - 1) + [1]) root = 1 for _ in range(degree): for j in range(degree): result[j] = _multiply(result[j], root) if j + 1 < degree: result[j] ^= result[j + 1] root = _multiply(root, 2) return bytes(result) def _remainder(data: bytes, divisor: bytes) -> bytes: result = bytearray(len(divisor)) for value in data: factor = value ^ result.pop(0) result.append(0) for i, coefficient in enumerate(divisor): result[i] ^= _multiply(coefficient, factor) return bytes(result) def _alignment_positions(version: int) -> list[int]: if version == 1: return [] count = version // 7 + 2 step = ((version * 4 + count * 2 + 1) // (count * 2 - 2)) * 2 return [6] + [version * 4 + 10 - step * i for i in range(count - 1)][::-1] class _Qr: def __init__(self, version: int, data: bytes): self.version = version self.size = version * 4 + 17 self.modules = [[False] * self.size for _ in range(self.size)] self.function = [[False] * self.size for _ in range(self.size)] self._draw_functions() self._draw_data(_codewords(data, version)) for y in range(self.size): for x in range(self.size): if not self.function[y][x]: self.modules[y][x] ^= (x + y) % 2 == 0 self._format() def _set_function(self, x: int, y: int, dark: bool) -> None: if 0 <= x < self.size and 0 <= y < self.size: self.modules[y][x] = dark self.function[y][x] = True def _finder(self, x: int, y: int) -> None: for dy in range(-4, 5): for dx in range(-4, 5): distance = max(abs(dx), abs(dy)) self._set_function(x + dx, y + dy, distance != 2 and distance != 4) def _alignment(self, x: int, y: int) -> None: for dy in range(-2, 3): for dx in range(-2, 3): self._set_function(x + dx, y + dy, max(abs(dx), abs(dy)) != 1) def _draw_functions(self) -> None: for i in range(self.size): self._set_function(6, i, i % 2 == 0) self._set_function(i, 6, i % 2 == 0) self._finder(3, 3) self._finder(self.size - 4, 3) self._finder(3, self.size - 4) positions = _alignment_positions(self.version) for y in positions: for x in positions: if not ((x == 6 and y in (6, self.size - 7)) or (x == self.size - 7 and y == 6)): self._alignment(x, y) # reserve the format-info modules before the data is placed; the real # values are written by the second _format call after masking self._format() if self.version >= 7: value = self.version for _ in range(12): value = (value << 1) ^ ((value >> 11) * 0x1F25) value = self.version << 12 | value for i in range(18): bit = ((value >> i) & 1) != 0 a = self.size - 11 + i % 3 b = i // 3 self._set_function(a, b, bit) self._set_function(b, a, bit) def _format(self) -> None: for i in range(15): bit = ((_FORMAT_BITS >> i) & 1) != 0 y_pos = i if i < 6 else i + 1 if i < 8 else self.size - 15 + i self._set_function(8, y_pos, bit) x_pos = self.size - 1 - i if i < 8 else 15 - i if i < 9 else 14 - i self._set_function(x_pos, 8, bit) self._set_function(8, self.size - 8, True) def _draw_data(self, data: bytes) -> None: bits = ((byte >> s) & 1 for byte in data for s in reversed(range(8))) upward = True right = self.size - 1 while right >= 1: if right == 6: # skip the vertical timing column right = 5 for vert in range(self.size): y = self.size - 1 - vert if upward else vert for x in (right, right - 1): if not self.function[y][x]: self.modules[y][x] = bool(next(bits, 0)) upward = not upward right -= 2 def make_texture(data: str, inverted: bool = False) -> rl.Texture: """Render a URL as the RGBA QR texture used by the UI. The texture upload copies the pixels, so the intermediate image/array don't need to outlive it.""" raw = data.encode() for version in range(1, 21): count_bits = 8 if version <= 9 else 16 if 4 + count_bits + len(raw) * 8 <= _capacity(version) * 8: break else: raise ValueError("QR URL is too long") modules = np.pad(_Qr(version, raw).modules, 0 if inverted else 4) modules = np.repeat(np.repeat(modules, 10, axis=0), 10, axis=1) gray = ((modules == inverted) * 255).astype(np.uint8) img_array = np.dstack((gray, gray, gray, np.full_like(gray, 255))) rl_image = rl.Image() rl_image.data = rl.ffi.cast("void *", img_array.ctypes.data) rl_image.width = img_array.shape[1] rl_image.height = img_array.shape[0] rl_image.mipmaps = 1 rl_image.format = rl.PixelFormat.PIXELFORMAT_UNCOMPRESSED_R8G8B8A8 return rl.load_texture_from_image(rl_image)