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cond |
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package Barcode::DataMatrix::Constants; |
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=head1 Barcode::DataMatrix::Constants |
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Constants associated with the Reed-Solomon error correction encoding used |
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for data matrices. See |
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L for |
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more information. |
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=cut |
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use strict; |
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use warnings; |
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=head2 GFI |
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Exponent values used in the multiplication step of the Reed-Solomon encoding |
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algorithm. |
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=cut |
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our @GFI = ( 1, 2, 4, 8, 16, 32, 64, 128, 45, 90, 180, 69, 138, 57, 114, 228, 229, 231, 227, 235, 251, 219, 155, 27, 54, 108, 216, 157, 23, 46, 92, 184, 93, 186, 89, 178, 73, 146, 9, 18, 36, 72, 144, 13, 26, 52, 104, 208, 141, 55, 110, 220, 149, 7, 14, 28, 56, 112, 224, 237, 247, 195, 171, 123, 246, 193, 175, 115, 230, 225, 239, 243, 203, 187, 91, 182, 65, 130, 41, 82, 164, 101, 202, 185, 95, 190, 81, 162, 105, 210, 137, 63, 126, 252, 213, 135, 35, 70, 140, 53, 106, 212, 133, 39, 78, 156, 21, 42, 84, 168, 125, 250, 217, 159, 19, 38, 76, 152, 29, 58, 116, 232, 253, 215, 131, 43, 86, 172, 117, 234, 249, 223, 147, 11, 22, 44, 88, 176, 77, 154, 25, 50, 100, 200, 189, 87, 174, 113, 226, 233, 255, 211, 139, 59, 118, 236, 245, 199, 163, 107, 214, 129, 47, 94, 188, 85, 170, 121, 242, 201, 191, 83, 166, 97, 194, 169, 127, 254, 209, 143, 51, 102, 204, 181, 71, 142, 49, 98, 196, 165, 103, 206, 177, 79, 158, 17, 34, 68, 136, 61, 122, 244, 197, 167, 99, 198, 161, 111, 222, 145, 15, 30, 60, 120, 240, 205, 183, 67, 134, 33, 66, 132, 37, 74, 148, 5, 10, 20, 40, 80, 160, 109, 218, 153, 31, 62, 124, 248, 221, 151, 3, 6, 12, 24, 48, 96, 192, 173, 119, 238, 241, 207, 179, 75, 150 ); |
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=head2 GFL |
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Log values used in the multiplication step of the Reed-Solomon encoding |
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algorithm. |
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=cut |
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our @GFL = ( 0, 0, 1, 240, 2, 225, 241, 53, 3, 38, 226, 133, 242, 43, 54, 210, 4, 195, 39, 114, 227, 106, 134, 28, 243, 140, 44, 23, 55, 118, 211, 234, 5, 219, 196, 96, 40, 222, 115, 103, 228, 78, 107, 125, 135, 8, 29, 162, 244, 186, 141, 180, 45, 99, 24, 49, 56, 13, 119, 153, 212, 199, 235, 91, 6, 76, 220, 217, 197, 11, 97, 184, 41, 36, 223, 253, 116, 138, 104, 193, 229, 86, 79, 171, 108, 165, 126, 145, 136, 34, 9, 74, 30, 32, 163, 84, 245, 173, 187, 204, 142, 81, 181, 190, 46, 88, 100, 159, 25, 231, 50, 207, 57, 147, 14, 67, 120, 128, 154, 248, 213, 167, 200, 63, 236, 110, 92, 176, 7, 161, 77, 124, 221, 102, 218, 95, 198, 90, 12, 152, 98, 48, 185, 179, 42, 209, 37, 132, 224, 52, 254, 239, 117, 233, 139, 22, 105, 27, 194, 113, 230, 206, 87, 158, 80, 189, 172, 203, 109, 175, 166, 62, 127, 247, 146, 66, 137, 192, 35, 252, 10, 183, 75, 216, 31, 83, 33, 73, 164, 144, 85, 170, 246, 65, 174, 61, 188, 202, 205, 157, 143, 169, 82, 72, 182, 215, 191, 251, 47, 178, 89, 151, 101, 94, 160, 123, 26, 112, 232, 21, 51, 238, 208, 131, 58, 69, 148, 18, 15, 16, 68, 17, 121, 149, 129, 19, 155, 59, 249, 70, 214, 250, 168, 71, 201, 156, 64, 60, 237, 130, 111, 20, 93, 122, 177, 150 ); |
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=head2 POLY |
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35
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Coefficients of the Reed-Solomon coeeficients. The keys of the C hash |
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correspond to the order of the respective polynomial. |
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=cut |
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40
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our %POLY = ( |
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5 => [62, 111, 15, 48, 228], |
42
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7 => [254, 92, 240, 134, 144, 68, 23], |
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10 => [61, 110, 255, 116, 248, 223, 166, 185, 24, 28], |
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11 => [120, 97, 60, 245, 39, 168, 194, 12, 205, 138, 175], |
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12 => [242, 100, 178, 97, 213, 142, 42, 61, 91, 158, 153, 41], |
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14 => [185, 83, 186, 18, 45, 138, 119, 157, 9, 95, 252, 192, 97, 156], |
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18 => [188, 90, 48, 225, 254, 94, 129, 109, 213, 241, 61, 66, 75, 188, 39, 100, 195, 83], |
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20 => [172, 186, 174, 27, 82, 108, 79, 253, 145, 153, 160, 188, 2, 168, 71, 233, 9, 244, 195, 15], |
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24 => [193, 50, 96, 184, 181, 12, 124, 254, 172, 5, 21, 155, 223, 251, 197, 155, 21, 176, 39, 109, 205, 88, 190, 52], |
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28 => [255, 93, 168, 233, 151, 120, 136, 141, 213, 110, 138, 17, 121, 249, 34, 75, 53, 170, 151, 37, 174, 103, 96, 71, 97, 43, 231, 211], |
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36 => [112, 81, 98, 225, 25, 59, 184, 175, 44, 115, 119, 95, 137, 101, 33, 68, 4, 2, 18, 229, 182, 80, 251, 220, 179, 84, 120, 102, 181, 162, 250, 130, 218, 242, 127, 245], |
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42 => [5, 9, 5, 226, 177, 150, 50, 69, 202, 248, 101, 54, 57, 253, 1, 21, 121, 57, 111, 214, 105, 167, 9, 100, 95, 175, 8, 242, 133, 245, 2, 122, 105, 247, 153, 22, 38, 19, 31, 137, 193, 77], |
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48 => [19, 225, 253, 92, 213, 69, 175, 160, 147, 187, 87, 176, 44, 82, 240, 186, 138, 66, 100, 120, 88, 131, 205, 170, 90, 37, 23, 118, 147, 16, 106, 191, 87, 237, 188, 205, 231, 238, 133, 238, 22, 117, 32, 96, 223, 172, 132, 245], |
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56 => [46, 143, 53, 233, 107, 203, 43, 155, 28, 247, 67, 127, 245, 137, 13, 164, 207, 62, 117, 201, 150, 22, 238, 144, 232, 29, 203, 117, 234, 218, 146, 228, 54, 132, 200, 38, 223, 36, 159, 150, 235, 215, 192, 230, 170, 175, 29, 100, 208, 220, 17, 12, 238, 223, 9, 175], |
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62 => [204, 11, 47, 86, 124, 224, 166, 94, 7, 232, 107, 4, 170, 176, 31, 163, 17, 188, 130, 40, 10, 87, 63, 51, 218, 27, 6, 147, 44, 161, 71, 114, 64, 175, 221, 185, 106, 250, 190, 197, 63, 245, 230, 134, 112, 185, 37, 196, 108, 143, 189, 201, 188, 202, 118, 39, 210, 144, 50, 169, 93, 242], |
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68 => [186, 82, 103, 96, 63, 132, 153, 108, 54, 64, 189, 211, 232, 49, 25, 172, 52, 59, 241, 181, 239, 223, 136, 231, 210, 96, 232, 220, 25, 179, 167, 202, 185, 153, 139, 66, 236, 227, 160, 15, 213, 93, 122, 68, 177, 158, 197, 234, 180, 248, 136, 213, 127, 73, 36, 154, 244, 147, 33, 89, 56, 159, 149, 251, 89, 173, 228, 220], |
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); |
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our @FORMATS = ( |
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[10, 10, 8, 8, 1, 8, 8, 3, 5, 3, 5, 1], |
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[12, 12, 10, 10, 1, 10, 10, 5, 7, 5, 7, 1], |
62
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[14, 14, 12, 12, 1, 12, 12, 8, 10, 8, 10, 1], |
63
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[16, 16, 14, 14, 1, 14, 14, 12, 12, 12, 12, 1], |
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[18, 18, 16, 16, 1, 16, 16, 18, 14, 18, 14, 1], |
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[20, 20, 18, 18, 1, 18, 18, 22, 18, 22, 18, 1], |
66
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[22, 22, 20, 20, 1, 20, 20, 30, 20, 30, 20, 1], |
67
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[24, 24, 22, 22, 1, 22, 22, 36, 24, 36, 24, 1], |
68
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[26, 26, 24, 24, 1, 24, 24, 44, 28, 44, 28, 1], |
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[32, 32, 14, 14, 4, 28, 28, 62, 36, 62, 36, 1], |
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[36, 36, 16, 16, 4, 32, 32, 86, 42, 86, 42, 1], |
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[40, 40, 18, 18, 4, 36, 36, 114, 48, 114, 48, 1], |
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[44, 44, 20, 20, 4, 40, 40, 144, 56, 144, 56, 1], |
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[48, 48, 22, 22, 4, 44, 44, 174, 68, 174, 68, 1], |
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[52, 52, 24, 24, 4, 48, 48, 204, 84, 102, 42, 2], |
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[64, 64, 14, 14, 16, 56, 56, 280, 112, 140, 56, 2], |
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[72, 72, 16, 16, 16, 64, 64, 368, 144, 92, 36, 4], |
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[80, 80, 18, 18, 16, 72, 72, 456, 192, 114, 48, 4], |
78
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[88, 88, 20, 20, 16, 80, 80, 576, 224, 144, 56, 4], |
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[96, 96, 22, 22, 16, 88, 88, 696, 272, 174, 68, 4], |
80
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[104, 104, 24, 24, 16, 96, 96, 816, 336, 136, 56, 6], |
81
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[120, 120, 18, 18, 36, 108, 108, 1050, 496, 175, 68, 6], |
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[132, 132, 20, 20, 36, 120, 120, 1304, 496, 163, 62, 8], |
83
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[144, 144, 22, 22, 36, 132, 132, 1558, 620, 156, 62, 10], |
84
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[8, 18, 6, 16, 1, 6, 16, 5, 7, 5, 7, 1], |
85
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[8, 32, 6, 14, 2, 6, 28, 10, 11, 10, 11, 1], |
86
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[12, 26, 10, 24, 1, 10, 24, 16, 14, 16, 14, 1], |
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[12, 36, 10, 16, 2, 10, 32, 22, 18, 22, 18, 1], |
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[16, 36, 14, 16, 2, 14, 32, 32, 24, 32, 24, 1], |
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[16, 48, 14, 22, 2, 14, 44, 49, 28, 49, 28, 1], |
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); |
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our @C1 = ( |
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[0, 0], |
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[0, 1], |
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[0, 2], |
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[0, 3], |
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[0, 4], |
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[0, 5], |
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[0, 6], |
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[0, 7], |
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[0, 8], |
102
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[0, 9], |
103
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[0, 10], |
104
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[0, 11], |
105
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[0, 12], |
106
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[0, 13], |
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[0, 14], |
108
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[0, 15], |
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[0, 16], |
110
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[0, 17], |
111
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[0, 18], |
112
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[0, 19], |
113
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[0, 20], |
114
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[0, 21], |
115
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[0, 22], |
116
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[0, 23], |
117
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[0, 24], |
118
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[0, 25], |
119
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[0, 26], |
120
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[0, 27], |
121
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[0, 28], |
122
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[0, 29], |
123
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[0, 30], |
124
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[0, 31], |
125
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[3], |
126
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[1, 0], |
127
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[1, 1], |
128
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[1, 2], |
129
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[1, 3], |
130
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[1, 4], |
131
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[1, 5], |
132
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[1, 6], |
133
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[1, 7], |
134
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[1, 8], |
135
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[1, 9], |
136
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[1, 10], |
137
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[1, 11], |
138
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[1, 12], |
139
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[1, 13], |
140
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[1, 14], |
141
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[4], |
142
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[5], |
143
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[6], |
144
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[7], |
145
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[8], |
146
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[9], |
147
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[10], |
148
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[11], |
149
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[12], |
150
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[13], |
151
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[1, 15], |
152
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[1, 16], |
153
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[1, 17], |
154
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[1, 18], |
155
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[1, 19], |
156
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[1, 20], |
157
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[1, 21], |
158
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[14], |
159
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[15], |
160
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[16], |
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[17], |
162
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[18], |
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[19], |
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[20], |
165
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[21], |
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[22], |
167
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[23], |
168
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[24], |
169
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[25], |
170
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[26], |
171
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[27], |
172
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[28], |
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[29], |
174
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[30], |
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[31], |
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|
|
[32], |
177
|
|
|
|
|
|
|
[33], |
178
|
|
|
|
|
|
|
[34], |
179
|
|
|
|
|
|
|
[35], |
180
|
|
|
|
|
|
|
[36], |
181
|
|
|
|
|
|
|
[37], |
182
|
|
|
|
|
|
|
[38], |
183
|
|
|
|
|
|
|
[39], |
184
|
|
|
|
|
|
|
[1, 22], |
185
|
|
|
|
|
|
|
[1, 23], |
186
|
|
|
|
|
|
|
[1, 24], |
187
|
|
|
|
|
|
|
[1, 25], |
188
|
|
|
|
|
|
|
[1, 26], |
189
|
|
|
|
|
|
|
[2, 0], |
190
|
|
|
|
|
|
|
[2, 1], |
191
|
|
|
|
|
|
|
[2, 2], |
192
|
|
|
|
|
|
|
[2, 3], |
193
|
|
|
|
|
|
|
[2, 4], |
194
|
|
|
|
|
|
|
[2, 5], |
195
|
|
|
|
|
|
|
[2, 6], |
196
|
|
|
|
|
|
|
[2, 7], |
197
|
|
|
|
|
|
|
[2, 8], |
198
|
|
|
|
|
|
|
[2, 9], |
199
|
|
|
|
|
|
|
[2, 10], |
200
|
|
|
|
|
|
|
[2, 11], |
201
|
|
|
|
|
|
|
[2, 12], |
202
|
|
|
|
|
|
|
[2, 13], |
203
|
|
|
|
|
|
|
[2, 14], |
204
|
|
|
|
|
|
|
[2, 15], |
205
|
|
|
|
|
|
|
[2, 16], |
206
|
|
|
|
|
|
|
[2, 17], |
207
|
|
|
|
|
|
|
[2, 18], |
208
|
|
|
|
|
|
|
[2, 19], |
209
|
|
|
|
|
|
|
[2, 20], |
210
|
|
|
|
|
|
|
[2, 21], |
211
|
|
|
|
|
|
|
[2, 22], |
212
|
|
|
|
|
|
|
[2, 23], |
213
|
|
|
|
|
|
|
[2, 24], |
214
|
|
|
|
|
|
|
[2, 25], |
215
|
|
|
|
|
|
|
[2, 26], |
216
|
|
|
|
|
|
|
[2, 27], |
217
|
|
|
|
|
|
|
[2, 28], |
218
|
|
|
|
|
|
|
[2, 29], |
219
|
|
|
|
|
|
|
[2, 30], |
220
|
|
|
|
|
|
|
[2, 31], |
221
|
|
|
|
|
|
|
[1, 30, 0, 0], |
222
|
|
|
|
|
|
|
[1, 30, 0, 1], |
223
|
|
|
|
|
|
|
[1, 30, 0, 2], |
224
|
|
|
|
|
|
|
[1, 30, 0, 3], |
225
|
|
|
|
|
|
|
[1, 30, 0, 4], |
226
|
|
|
|
|
|
|
[1, 30, 0, 5], |
227
|
|
|
|
|
|
|
[1, 30, 0, 6], |
228
|
|
|
|
|
|
|
[1, 30, 0, 7], |
229
|
|
|
|
|
|
|
[1, 30, 0, 8], |
230
|
|
|
|
|
|
|
[1, 30, 0, 9], |
231
|
|
|
|
|
|
|
[1, 30, 0, 10], |
232
|
|
|
|
|
|
|
[1, 30, 0, 11], |
233
|
|
|
|
|
|
|
[1, 30, 0, 12], |
234
|
|
|
|
|
|
|
[1, 30, 0, 13], |
235
|
|
|
|
|
|
|
[1, 30, 0, 14], |
236
|
|
|
|
|
|
|
[1, 30, 0, 15], |
237
|
|
|
|
|
|
|
[1, 30, 0, 16], |
238
|
|
|
|
|
|
|
[1, 30, 0, 17], |
239
|
|
|
|
|
|
|
[1, 30, 0, 18], |
240
|
|
|
|
|
|
|
[1, 30, 0, 19], |
241
|
|
|
|
|
|
|
[1, 30, 0, 20], |
242
|
|
|
|
|
|
|
[1, 30, 0, 21], |
243
|
|
|
|
|
|
|
[1, 30, 0, 22], |
244
|
|
|
|
|
|
|
[1, 30, 0, 23], |
245
|
|
|
|
|
|
|
[1, 30, 0, 24], |
246
|
|
|
|
|
|
|
[1, 30, 0, 25], |
247
|
|
|
|
|
|
|
[1, 30, 0, 26], |
248
|
|
|
|
|
|
|
[1, 30, 0, 27], |
249
|
|
|
|
|
|
|
[1, 30, 0, 28], |
250
|
|
|
|
|
|
|
[1, 30, 0, 29], |
251
|
|
|
|
|
|
|
[1, 30, 0, 30], |
252
|
|
|
|
|
|
|
[1, 30, 0, 31], |
253
|
|
|
|
|
|
|
[1, 30, 3], |
254
|
|
|
|
|
|
|
[1, 30, 1, 0], |
255
|
|
|
|
|
|
|
[1, 30, 1, 1], |
256
|
|
|
|
|
|
|
[1, 30, 1, 2], |
257
|
|
|
|
|
|
|
[1, 30, 1, 3], |
258
|
|
|
|
|
|
|
[1, 30, 1, 4], |
259
|
|
|
|
|
|
|
[1, 30, 1, 5], |
260
|
|
|
|
|
|
|
[1, 30, 1, 6], |
261
|
|
|
|
|
|
|
[1, 30, 1, 7], |
262
|
|
|
|
|
|
|
[1, 30, 1, 8], |
263
|
|
|
|
|
|
|
[1, 30, 1, 9], |
264
|
|
|
|
|
|
|
[1, 30, 1, 10], |
265
|
|
|
|
|
|
|
[1, 30, 1, 11], |
266
|
|
|
|
|
|
|
[1, 30, 1, 12], |
267
|
|
|
|
|
|
|
[1, 30, 1, 13], |
268
|
|
|
|
|
|
|
[1, 30, 1, 14], |
269
|
|
|
|
|
|
|
[1, 30, 4], |
270
|
|
|
|
|
|
|
[1, 30, 5], |
271
|
|
|
|
|
|
|
[1, 30, 6], |
272
|
|
|
|
|
|
|
[1, 30, 7], |
273
|
|
|
|
|
|
|
[1, 30, 8], |
274
|
|
|
|
|
|
|
[1, 30, 9], |
275
|
|
|
|
|
|
|
[1, 30, 10], |
276
|
|
|
|
|
|
|
[1, 30, 11], |
277
|
|
|
|
|
|
|
[1, 30, 12], |
278
|
|
|
|
|
|
|
[1, 30, 13], |
279
|
|
|
|
|
|
|
[1, 30, 1, 15], |
280
|
|
|
|
|
|
|
[1, 30, 1, 16], |
281
|
|
|
|
|
|
|
[1, 30, 1, 17], |
282
|
|
|
|
|
|
|
[1, 30, 1, 18], |
283
|
|
|
|
|
|
|
[1, 30, 1, 19], |
284
|
|
|
|
|
|
|
[1, 30, 1, 20], |
285
|
|
|
|
|
|
|
[1, 30, 1, 21], |
286
|
|
|
|
|
|
|
[1, 30, 14], |
287
|
|
|
|
|
|
|
[1, 30, 15], |
288
|
|
|
|
|
|
|
[1, 30, 16], |
289
|
|
|
|
|
|
|
[1, 30, 17], |
290
|
|
|
|
|
|
|
[1, 30, 18], |
291
|
|
|
|
|
|
|
[1, 30, 19], |
292
|
|
|
|
|
|
|
[1, 30, 20], |
293
|
|
|
|
|
|
|
[1, 30, 21], |
294
|
|
|
|
|
|
|
[1, 30, 22], |
295
|
|
|
|
|
|
|
[1, 30, 23], |
296
|
|
|
|
|
|
|
[1, 30, 24], |
297
|
|
|
|
|
|
|
[1, 30, 25], |
298
|
|
|
|
|
|
|
[1, 30, 26], |
299
|
|
|
|
|
|
|
[1, 30, 27], |
300
|
|
|
|
|
|
|
[1, 30, 28], |
301
|
|
|
|
|
|
|
[1, 30, 29], |
302
|
|
|
|
|
|
|
[1, 30, 30], |
303
|
|
|
|
|
|
|
[1, 30, 31], |
304
|
|
|
|
|
|
|
[1, 30, 32], |
305
|
|
|
|
|
|
|
[1, 30, 33], |
306
|
|
|
|
|
|
|
[1, 30, 34], |
307
|
|
|
|
|
|
|
[1, 30, 35], |
308
|
|
|
|
|
|
|
[1, 30, 36], |
309
|
|
|
|
|
|
|
[1, 30, 37], |
310
|
|
|
|
|
|
|
[1, 30, 38], |
311
|
|
|
|
|
|
|
[1, 30, 39], |
312
|
|
|
|
|
|
|
[1, 30, 1, 22], |
313
|
|
|
|
|
|
|
[1, 30, 1, 23], |
314
|
|
|
|
|
|
|
[1, 30, 1, 24], |
315
|
|
|
|
|
|
|
[1, 30, 1, 25], |
316
|
|
|
|
|
|
|
[1, 30, 1, 26], |
317
|
|
|
|
|
|
|
[1, 30, 2, 0], |
318
|
|
|
|
|
|
|
[1, 30, 2, 1], |
319
|
|
|
|
|
|
|
[1, 30, 2, 2], |
320
|
|
|
|
|
|
|
[1, 30, 2, 3], |
321
|
|
|
|
|
|
|
[1, 30, 2, 4], |
322
|
|
|
|
|
|
|
[1, 30, 2, 5], |
323
|
|
|
|
|
|
|
[1, 30, 2, 6], |
324
|
|
|
|
|
|
|
[1, 30, 2, 7], |
325
|
|
|
|
|
|
|
[1, 30, 2, 8], |
326
|
|
|
|
|
|
|
[1, 30, 2, 9], |
327
|
|
|
|
|
|
|
[1, 30, 2, 10], |
328
|
|
|
|
|
|
|
[1, 30, 2, 11], |
329
|
|
|
|
|
|
|
[1, 30, 2, 12], |
330
|
|
|
|
|
|
|
[1, 30, 2, 13], |
331
|
|
|
|
|
|
|
[1, 30, 2, 14], |
332
|
|
|
|
|
|
|
[1, 30, 2, 15], |
333
|
|
|
|
|
|
|
[1, 30, 2, 16], |
334
|
|
|
|
|
|
|
[1, 30, 2, 17], |
335
|
|
|
|
|
|
|
[1, 30, 2, 18], |
336
|
|
|
|
|
|
|
[1, 30, 2, 19], |
337
|
|
|
|
|
|
|
[1, 30, 2, 20], |
338
|
|
|
|
|
|
|
[1, 30, 2, 21], |
339
|
|
|
|
|
|
|
[1, 30, 2, 22], |
340
|
|
|
|
|
|
|
[1, 30, 2, 23], |
341
|
|
|
|
|
|
|
[1, 30, 2, 24], |
342
|
|
|
|
|
|
|
[1, 30, 2, 25], |
343
|
|
|
|
|
|
|
[1, 30, 2, 26], |
344
|
|
|
|
|
|
|
[1, 30, 2, 27], |
345
|
|
|
|
|
|
|
[1, 30, 2, 28], |
346
|
|
|
|
|
|
|
[1, 30, 2, 29], |
347
|
|
|
|
|
|
|
[1, 30, 2, 30], |
348
|
|
|
|
|
|
|
[1, 30, 2, 31], |
349
|
|
|
|
|
|
|
); |
350
|
|
|
|
|
|
|
|
351
|
|
|
|
|
|
|
1; |