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- from typing import NamedTuple
- from qrcode import constants
- EXP_TABLE = list(range(256))
- LOG_TABLE = list(range(256))
- for i in range(8):
- EXP_TABLE[i] = 1 << i
- for i in range(8, 256):
- EXP_TABLE[i] = (
- EXP_TABLE[i - 4] ^ EXP_TABLE[i - 5] ^ EXP_TABLE[i - 6] ^ EXP_TABLE[i - 8]
- )
- for i in range(255):
- LOG_TABLE[EXP_TABLE[i]] = i
- RS_BLOCK_OFFSET = {
- constants.ERROR_CORRECT_L: 0,
- constants.ERROR_CORRECT_M: 1,
- constants.ERROR_CORRECT_Q: 2,
- constants.ERROR_CORRECT_H: 3,
- }
- RS_BLOCK_TABLE = (
- # L
- # M
- # Q
- # H
- # 1
- (1, 26, 19),
- (1, 26, 16),
- (1, 26, 13),
- (1, 26, 9),
- # 2
- (1, 44, 34),
- (1, 44, 28),
- (1, 44, 22),
- (1, 44, 16),
- # 3
- (1, 70, 55),
- (1, 70, 44),
- (2, 35, 17),
- (2, 35, 13),
- # 4
- (1, 100, 80),
- (2, 50, 32),
- (2, 50, 24),
- (4, 25, 9),
- # 5
- (1, 134, 108),
- (2, 67, 43),
- (2, 33, 15, 2, 34, 16),
- (2, 33, 11, 2, 34, 12),
- # 6
- (2, 86, 68),
- (4, 43, 27),
- (4, 43, 19),
- (4, 43, 15),
- # 7
- (2, 98, 78),
- (4, 49, 31),
- (2, 32, 14, 4, 33, 15),
- (4, 39, 13, 1, 40, 14),
- # 8
- (2, 121, 97),
- (2, 60, 38, 2, 61, 39),
- (4, 40, 18, 2, 41, 19),
- (4, 40, 14, 2, 41, 15),
- # 9
- (2, 146, 116),
- (3, 58, 36, 2, 59, 37),
- (4, 36, 16, 4, 37, 17),
- (4, 36, 12, 4, 37, 13),
- # 10
- (2, 86, 68, 2, 87, 69),
- (4, 69, 43, 1, 70, 44),
- (6, 43, 19, 2, 44, 20),
- (6, 43, 15, 2, 44, 16),
- # 11
- (4, 101, 81),
- (1, 80, 50, 4, 81, 51),
- (4, 50, 22, 4, 51, 23),
- (3, 36, 12, 8, 37, 13),
- # 12
- (2, 116, 92, 2, 117, 93),
- (6, 58, 36, 2, 59, 37),
- (4, 46, 20, 6, 47, 21),
- (7, 42, 14, 4, 43, 15),
- # 13
- (4, 133, 107),
- (8, 59, 37, 1, 60, 38),
- (8, 44, 20, 4, 45, 21),
- (12, 33, 11, 4, 34, 12),
- # 14
- (3, 145, 115, 1, 146, 116),
- (4, 64, 40, 5, 65, 41),
- (11, 36, 16, 5, 37, 17),
- (11, 36, 12, 5, 37, 13),
- # 15
- (5, 109, 87, 1, 110, 88),
- (5, 65, 41, 5, 66, 42),
- (5, 54, 24, 7, 55, 25),
- (11, 36, 12, 7, 37, 13),
- # 16
- (5, 122, 98, 1, 123, 99),
- (7, 73, 45, 3, 74, 46),
- (15, 43, 19, 2, 44, 20),
- (3, 45, 15, 13, 46, 16),
- # 17
- (1, 135, 107, 5, 136, 108),
- (10, 74, 46, 1, 75, 47),
- (1, 50, 22, 15, 51, 23),
- (2, 42, 14, 17, 43, 15),
- # 18
- (5, 150, 120, 1, 151, 121),
- (9, 69, 43, 4, 70, 44),
- (17, 50, 22, 1, 51, 23),
- (2, 42, 14, 19, 43, 15),
- # 19
- (3, 141, 113, 4, 142, 114),
- (3, 70, 44, 11, 71, 45),
- (17, 47, 21, 4, 48, 22),
- (9, 39, 13, 16, 40, 14),
- # 20
- (3, 135, 107, 5, 136, 108),
- (3, 67, 41, 13, 68, 42),
- (15, 54, 24, 5, 55, 25),
- (15, 43, 15, 10, 44, 16),
- # 21
- (4, 144, 116, 4, 145, 117),
- (17, 68, 42),
- (17, 50, 22, 6, 51, 23),
- (19, 46, 16, 6, 47, 17),
- # 22
- (2, 139, 111, 7, 140, 112),
- (17, 74, 46),
- (7, 54, 24, 16, 55, 25),
- (34, 37, 13),
- # 23
- (4, 151, 121, 5, 152, 122),
- (4, 75, 47, 14, 76, 48),
- (11, 54, 24, 14, 55, 25),
- (16, 45, 15, 14, 46, 16),
- # 24
- (6, 147, 117, 4, 148, 118),
- (6, 73, 45, 14, 74, 46),
- (11, 54, 24, 16, 55, 25),
- (30, 46, 16, 2, 47, 17),
- # 25
- (8, 132, 106, 4, 133, 107),
- (8, 75, 47, 13, 76, 48),
- (7, 54, 24, 22, 55, 25),
- (22, 45, 15, 13, 46, 16),
- # 26
- (10, 142, 114, 2, 143, 115),
- (19, 74, 46, 4, 75, 47),
- (28, 50, 22, 6, 51, 23),
- (33, 46, 16, 4, 47, 17),
- # 27
- (8, 152, 122, 4, 153, 123),
- (22, 73, 45, 3, 74, 46),
- (8, 53, 23, 26, 54, 24),
- (12, 45, 15, 28, 46, 16),
- # 28
- (3, 147, 117, 10, 148, 118),
- (3, 73, 45, 23, 74, 46),
- (4, 54, 24, 31, 55, 25),
- (11, 45, 15, 31, 46, 16),
- # 29
- (7, 146, 116, 7, 147, 117),
- (21, 73, 45, 7, 74, 46),
- (1, 53, 23, 37, 54, 24),
- (19, 45, 15, 26, 46, 16),
- # 30
- (5, 145, 115, 10, 146, 116),
- (19, 75, 47, 10, 76, 48),
- (15, 54, 24, 25, 55, 25),
- (23, 45, 15, 25, 46, 16),
- # 31
- (13, 145, 115, 3, 146, 116),
- (2, 74, 46, 29, 75, 47),
- (42, 54, 24, 1, 55, 25),
- (23, 45, 15, 28, 46, 16),
- # 32
- (17, 145, 115),
- (10, 74, 46, 23, 75, 47),
- (10, 54, 24, 35, 55, 25),
- (19, 45, 15, 35, 46, 16),
- # 33
- (17, 145, 115, 1, 146, 116),
- (14, 74, 46, 21, 75, 47),
- (29, 54, 24, 19, 55, 25),
- (11, 45, 15, 46, 46, 16),
- # 34
- (13, 145, 115, 6, 146, 116),
- (14, 74, 46, 23, 75, 47),
- (44, 54, 24, 7, 55, 25),
- (59, 46, 16, 1, 47, 17),
- # 35
- (12, 151, 121, 7, 152, 122),
- (12, 75, 47, 26, 76, 48),
- (39, 54, 24, 14, 55, 25),
- (22, 45, 15, 41, 46, 16),
- # 36
- (6, 151, 121, 14, 152, 122),
- (6, 75, 47, 34, 76, 48),
- (46, 54, 24, 10, 55, 25),
- (2, 45, 15, 64, 46, 16),
- # 37
- (17, 152, 122, 4, 153, 123),
- (29, 74, 46, 14, 75, 47),
- (49, 54, 24, 10, 55, 25),
- (24, 45, 15, 46, 46, 16),
- # 38
- (4, 152, 122, 18, 153, 123),
- (13, 74, 46, 32, 75, 47),
- (48, 54, 24, 14, 55, 25),
- (42, 45, 15, 32, 46, 16),
- # 39
- (20, 147, 117, 4, 148, 118),
- (40, 75, 47, 7, 76, 48),
- (43, 54, 24, 22, 55, 25),
- (10, 45, 15, 67, 46, 16),
- # 40
- (19, 148, 118, 6, 149, 119),
- (18, 75, 47, 31, 76, 48),
- (34, 54, 24, 34, 55, 25),
- (20, 45, 15, 61, 46, 16),
- )
- def glog(n):
- if n < 1: # pragma: no cover
- raise ValueError(f"glog({n})")
- return LOG_TABLE[n]
- def gexp(n):
- return EXP_TABLE[n % 255]
- class Polynomial:
- def __init__(self, num, shift):
- if not num: # pragma: no cover
- raise Exception(f"{len(num)}/{shift}")
- offset = 0
- for offset in range(len(num)):
- if num[offset] != 0:
- break
- self.num = num[offset:] + [0] * shift
- def __getitem__(self, index):
- return self.num[index]
- def __iter__(self):
- return iter(self.num)
- def __len__(self):
- return len(self.num)
- def __mul__(self, other):
- num = [0] * (len(self) + len(other) - 1)
- for i, item in enumerate(self):
- for j, other_item in enumerate(other):
- num[i + j] ^= gexp(glog(item) + glog(other_item))
- return Polynomial(num, 0)
- def __mod__(self, other):
- difference = len(self) - len(other)
- if difference < 0:
- return self
- ratio = glog(self[0]) - glog(other[0])
- num = [
- item ^ gexp(glog(other_item) + ratio)
- for item, other_item in zip(self, other)
- ]
- if difference:
- num.extend(self[-difference:])
- # recursive call
- return Polynomial(num, 0) % other
- class RSBlock(NamedTuple):
- total_count: int
- data_count: int
- def rs_blocks(version, error_correction):
- if error_correction not in RS_BLOCK_OFFSET: # pragma: no cover
- raise Exception(
- "bad rs block @ version: %s / error_correction: %s"
- % (version, error_correction)
- )
- offset = RS_BLOCK_OFFSET[error_correction]
- rs_block = RS_BLOCK_TABLE[(version - 1) * 4 + offset]
- blocks = []
- for i in range(0, len(rs_block), 3):
- count, total_count, data_count = rs_block[i : i + 3]
- for _ in range(count):
- blocks.append(RSBlock(total_count, data_count))
- return blocks
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