kgoba-ft8_lib/ft8/constants.c

#include "constants.h"

// Costas 7x7 tone pattern
const uint8_t kFT8_Costas_pattern[7] = {3, 1, 4, 0, 6, 5, 2};

// Gray code map
const uint8_t kFT8_Gray_map[8] = {0, 1, 3, 2, 5, 6, 4, 7};

// Parity generator matrix for (174,91) LDPC code, stored in bitpacked format (MSB first)
const uint8_t kFT8_LDPC_generator[FT8_M][FT8_K_BYTES] = {
    {0x83, 0x29, 0xce, 0x11, 0xbf, 0x31, 0xea, 0xf5, 0x09, 0xf2, 0x7f, 0xc0},
    {0x76, 0x1c, 0x26, 0x4e, 0x25, 0xc2, 0x59, 0x33, 0x54, 0x93, 0x13, 0x20},
    {0xdc, 0x26, 0x59, 0x02, 0xfb, 0x27, 0x7c, 0x64, 0x10, 0xa1, 0xbd, 0xc0},
    {0x1b, 0x3f, 0x41, 0x78, 0x58, 0xcd, 0x2d, 0xd3, 0x3e, 0xc7, 0xf6, 0x20},
    {0x09, 0xfd, 0xa4, 0xfe, 0xe0, 0x41, 0x95, 0xfd, 0x03, 0x47, 0x83, 0xa0},
    {0x07, 0x7c, 0xcc, 0xc1, 0x1b, 0x88, 0x73, 0xed, 0x5c, 0x3d, 0x48, 0xa0},
    {0x29, 0xb6, 0x2a, 0xfe, 0x3c, 0xa0, 0x36, 0xf4, 0xfe, 0x1a, 0x9d, 0xa0},
    {0x60, 0x54, 0xfa, 0xf5, 0xf3, 0x5d, 0x96, 0xd3, 0xb0, 0xc8, 0xc3, 0xe0},
    {0xe2, 0x07, 0x98, 0xe4, 0x31, 0x0e, 0xed, 0x27, 0x88, 0x4a, 0xe9, 0x00},
    {0x77, 0x5c, 0x9c, 0x08, 0xe8, 0x0e, 0x26, 0xdd, 0xae, 0x56, 0x31, 0x80},
    {0xb0, 0xb8, 0x11, 0x02, 0x8c, 0x2b, 0xf9, 0x97, 0x21, 0x34, 0x87, 0xc0},
    {0x18, 0xa0, 0xc9, 0x23, 0x1f, 0xc6, 0x0a, 0xdf, 0x5c, 0x5e, 0xa3, 0x20},
    {0x76, 0x47, 0x1e, 0x83, 0x02, 0xa0, 0x72, 0x1e, 0x01, 0xb1, 0x2b, 0x80},
    {0xff, 0xbc, 0xcb, 0x80, 0xca, 0x83, 0x41, 0xfa, 0xfb, 0x47, 0xb2, 0xe0},
    {0x66, 0xa7, 0x2a, 0x15, 0x8f, 0x93, 0x25, 0xa2, 0xbf, 0x67, 0x17, 0x00},
    {0xc4, 0x24, 0x36, 0x89, 0xfe, 0x85, 0xb1, 0xc5, 0x13, 0x63, 0xa1, 0x80},
    {0x0d, 0xff, 0x73, 0x94, 0x14, 0xd1, 0xa1, 0xb3, 0x4b, 0x1c, 0x27, 0x00},
    {0x15, 0xb4, 0x88, 0x30, 0x63, 0x6c, 0x8b, 0x99, 0x89, 0x49, 0x72, 0xe0},
    {0x29, 0xa8, 0x9c, 0x0d, 0x3d, 0xe8, 0x1d, 0x66, 0x54, 0x89, 0xb0, 0xe0},
    {0x4f, 0x12, 0x6f, 0x37, 0xfa, 0x51, 0xcb, 0xe6, 0x1b, 0xd6, 0xb9, 0x40},
    {0x99, 0xc4, 0x72, 0x39, 0xd0, 0xd9, 0x7d, 0x3c, 0x84, 0xe0, 0x94, 0x00},
    {0x19, 0x19, 0xb7, 0x51, 0x19, 0x76, 0x56, 0x21, 0xbb, 0x4f, 0x1e, 0x80},
    {0x09, 0xdb, 0x12, 0xd7, 0x31, 0xfa, 0xee, 0x0b, 0x86, 0xdf, 0x6b, 0x80},
    {0x48, 0x8f, 0xc3, 0x3d, 0xf4, 0x3f, 0xbd, 0xee, 0xa4, 0xea, 0xfb, 0x40},
    {0x82, 0x74, 0x23, 0xee, 0x40, 0xb6, 0x75, 0xf7, 0x56, 0xeb, 0x5f, 0xe0},
    {0xab, 0xe1, 0x97, 0xc4, 0x84, 0xcb, 0x74, 0x75, 0x71, 0x44, 0xa9, 0xa0},
    {0x2b, 0x50, 0x0e, 0x4b, 0xc0, 0xec, 0x5a, 0x6d, 0x2b, 0xdb, 0xdd, 0x00},
    {0xc4, 0x74, 0xaa, 0x53, 0xd7, 0x02, 0x18, 0x76, 0x16, 0x69, 0x36, 0x00},
    {0x8e, 0xba, 0x1a, 0x13, 0xdb, 0x33, 0x90, 0xbd, 0x67, 0x18, 0xce, 0xc0},
    {0x75, 0x38, 0x44, 0x67, 0x3a, 0x27, 0x78, 0x2c, 0xc4, 0x20, 0x12, 0xe0},
    {0x06, 0xff, 0x83, 0xa1, 0x45, 0xc3, 0x70, 0x35, 0xa5, 0xc1, 0x26, 0x80},
    {0x3b, 0x37, 0x41, 0x78, 0x58, 0xcc, 0x2d, 0xd3, 0x3e, 0xc3, 0xf6, 0x20},
    {0x9a, 0x4a, 0x5a, 0x28, 0xee, 0x17, 0xca, 0x9c, 0x32, 0x48, 0x42, 0xc0},
    {0xbc, 0x29, 0xf4, 0x65, 0x30, 0x9c, 0x97, 0x7e, 0x89, 0x61, 0x0a, 0x40},
    {0x26, 0x63, 0xae, 0x6d, 0xdf, 0x8b, 0x5c, 0xe2, 0xbb, 0x29, 0x48, 0x80},
    {0x46, 0xf2, 0x31, 0xef, 0xe4, 0x57, 0x03, 0x4c, 0x18, 0x14, 0x41, 0x80},
    {0x3f, 0xb2, 0xce, 0x85, 0xab, 0xe9, 0xb0, 0xc7, 0x2e, 0x06, 0xfb, 0xe0},
    {0xde, 0x87, 0x48, 0x1f, 0x28, 0x2c, 0x15, 0x39, 0x71, 0xa0, 0xa2, 0xe0},
    {0xfc, 0xd7, 0xcc, 0xf2, 0x3c, 0x69, 0xfa, 0x99, 0xbb, 0xa1, 0x41, 0x20},
    {0xf0, 0x26, 0x14, 0x47, 0xe9, 0x49, 0x0c, 0xa8, 0xe4, 0x74, 0xce, 0xc0},
    {0x44, 0x10, 0x11, 0x58, 0x18, 0x19, 0x6f, 0x95, 0xcd, 0xd7, 0x01, 0x20},
    {0x08, 0x8f, 0xc3, 0x1d, 0xf4, 0xbf, 0xbd, 0xe2, 0xa4, 0xea, 0xfb, 0x40},
    {0xb8, 0xfe, 0xf1, 0xb6, 0x30, 0x77, 0x29, 0xfb, 0x0a, 0x07, 0x8c, 0x00},
    {0x5a, 0xfe, 0xa7, 0xac, 0xcc, 0xb7, 0x7b, 0xbc, 0x9d, 0x99, 0xa9, 0x00},
    {0x49, 0xa7, 0x01, 0x6a, 0xc6, 0x53, 0xf6, 0x5e, 0xcd, 0xc9, 0x07, 0x60},
    {0x19, 0x44, 0xd0, 0x85, 0xbe, 0x4e, 0x7d, 0xa8, 0xd6, 0xcc, 0x7d, 0x00},
    {0x25, 0x1f, 0x62, 0xad, 0xc4, 0x03, 0x2f, 0x0e, 0xe7, 0x14, 0x00, 0x20},
    {0x56, 0x47, 0x1f, 0x87, 0x02, 0xa0, 0x72, 0x1e, 0x00, 0xb1, 0x2b, 0x80},
    {0x2b, 0x8e, 0x49, 0x23, 0xf2, 0xdd, 0x51, 0xe2, 0xd5, 0x37, 0xfa, 0x00},
    {0x6b, 0x55, 0x0a, 0x40, 0xa6, 0x6f, 0x47, 0x55, 0xde, 0x95, 0xc2, 0x60},
    {0xa1, 0x8a, 0xd2, 0x8d, 0x4e, 0x27, 0xfe, 0x92, 0xa4, 0xf6, 0xc8, 0x40},
    {0x10, 0xc2, 0xe5, 0x86, 0x38, 0x8c, 0xb8, 0x2a, 0x3d, 0x80, 0x75, 0x80},
    {0xef, 0x34, 0xa4, 0x18, 0x17, 0xee, 0x02, 0x13, 0x3d, 0xb2, 0xeb, 0x00},
    {0x7e, 0x9c, 0x0c, 0x54, 0x32, 0x5a, 0x9c, 0x15, 0x83, 0x6e, 0x00, 0x00},
    {0x36, 0x93, 0xe5, 0x72, 0xd1, 0xfd, 0xe4, 0xcd, 0xf0, 0x79, 0xe8, 0x60},
    {0xbf, 0xb2, 0xce, 0xc5, 0xab, 0xe1, 0xb0, 0xc7, 0x2e, 0x07, 0xfb, 0xe0},
    {0x7e, 0xe1, 0x82, 0x30, 0xc5, 0x83, 0xcc, 0xcc, 0x57, 0xd4, 0xb0, 0x80},
    {0xa0, 0x66, 0xcb, 0x2f, 0xed, 0xaf, 0xc9, 0xf5, 0x26, 0x64, 0x12, 0x60},
    {0xbb, 0x23, 0x72, 0x5a, 0xbc, 0x47, 0xcc, 0x5f, 0x4c, 0xc4, 0xcd, 0x20},
    {0xde, 0xd9, 0xdb, 0xa3, 0xbe, 0xe4, 0x0c, 0x59, 0xb5, 0x60, 0x9b, 0x40},
    {0xd9, 0xa7, 0x01, 0x6a, 0xc6, 0x53, 0xe6, 0xde, 0xcd, 0xc9, 0x03, 0x60},
    {0x9a, 0xd4, 0x6a, 0xed, 0x5f, 0x70, 0x7f, 0x28, 0x0a, 0xb5, 0xfc, 0x40},
    {0xe5, 0x92, 0x1c, 0x77, 0x82, 0x25, 0x87, 0x31, 0x6d, 0x7d, 0x3c, 0x20},
    {0x4f, 0x14, 0xda, 0x82, 0x42, 0xa8, 0xb8, 0x6d, 0xca, 0x73, 0x35, 0x20},
    {0x8b, 0x8b, 0x50, 0x7a, 0xd4, 0x67, 0xd4, 0x44, 0x1d, 0xf7, 0x70, 0xe0},
    {0x22, 0x83, 0x1c, 0x9c, 0xf1, 0x16, 0x94, 0x67, 0xad, 0x04, 0xb6, 0x80},
    {0x21, 0x3b, 0x83, 0x8f, 0xe2, 0xae, 0x54, 0xc3, 0x8e, 0xe7, 0x18, 0x00},
    {0x5d, 0x92, 0x6b, 0x6d, 0xd7, 0x1f, 0x08, 0x51, 0x81, 0xa4, 0xe1, 0x20},
    {0x66, 0xab, 0x79, 0xd4, 0xb2, 0x9e, 0xe6, 0xe6, 0x95, 0x09, 0xe5, 0x60},
    {0x95, 0x81, 0x48, 0x68, 0x2d, 0x74, 0x8a, 0x38, 0xdd, 0x68, 0xba, 0xa0},
    {0xb8, 0xce, 0x02, 0x0c, 0xf0, 0x69, 0xc3, 0x2a, 0x72, 0x3a, 0xb1, 0x40},
    {0xf4, 0x33, 0x1d, 0x6d, 0x46, 0x16, 0x07, 0xe9, 0x57, 0x52, 0x74, 0x60},
    {0x6d, 0xa2, 0x3b, 0xa4, 0x24, 0xb9, 0x59, 0x61, 0x33, 0xcf, 0x9c, 0x80},
    {0xa6, 0x36, 0xbc, 0xbc, 0x7b, 0x30, 0xc5, 0xfb, 0xea, 0xe6, 0x7f, 0xe0},
    {0x5c, 0xb0, 0xd8, 0x6a, 0x07, 0xdf, 0x65, 0x4a, 0x90, 0x89, 0xa2, 0x00},
    {0xf1, 0x1f, 0x10, 0x68, 0x48, 0x78, 0x0f, 0xc9, 0xec, 0xdd, 0x80, 0xa0},
    {0x1f, 0xbb, 0x53, 0x64, 0xfb, 0x8d, 0x2c, 0x9d, 0x73, 0x0d, 0x5b, 0xa0},
    {0xfc, 0xb8, 0x6b, 0xc7, 0x0a, 0x50, 0xc9, 0xd0, 0x2a, 0x5d, 0x03, 0x40},
    {0xa5, 0x34, 0x43, 0x30, 0x29, 0xea, 0xc1, 0x5f, 0x32, 0x2e, 0x34, 0xc0},
    {0xc9, 0x89, 0xd9, 0xc7, 0xc3, 0xd3, 0xb8, 0xc5, 0x5d, 0x75, 0x13, 0x00},
    {0x7b, 0xb3, 0x8b, 0x2f, 0x01, 0x86, 0xd4, 0x66, 0x43, 0xae, 0x96, 0x20},
    {0x26, 0x44, 0xeb, 0xad, 0xeb, 0x44, 0xb9, 0x46, 0x7d, 0x1f, 0x42, 0xc0},
    {0x60, 0x8c, 0xc8, 0x57, 0x59, 0x4b, 0xfb, 0xb5, 0x5d, 0x69, 0x60, 0x00}};

// Each row describes one LDPC parity check.
// Each number is an index into the codeword (1-origin).
// The codeword bits mentioned in each row must XOR to zero.
const uint8_t kFT8_LDPC_Nm[FT8_M][7] = {
    {4, 31, 59, 91, 92, 96, 153},
    {5, 32, 60, 93, 115, 146, 0},
    {6, 24, 61, 94, 122, 151, 0},
    {7, 33, 62, 95, 96, 143, 0},
    {8, 25, 63, 83, 93, 96, 148},
    {6, 32, 64, 97, 126, 138, 0},
    {5, 34, 65, 78, 98, 107, 154},
    {9, 35, 66, 99, 139, 146, 0},
    {10, 36, 67, 100, 107, 126, 0},
    {11, 37, 67, 87, 101, 139, 158},
    {12, 38, 68, 102, 105, 155, 0},
    {13, 39, 69, 103, 149, 162, 0},
    {8, 40, 70, 82, 104, 114, 145},
    {14, 41, 71, 88, 102, 123, 156},
    {15, 42, 59, 106, 123, 159, 0},
    {1, 33, 72, 106, 107, 157, 0},
    {16, 43, 73, 108, 141, 160, 0},
    {17, 37, 74, 81, 109, 131, 154},
    {11, 44, 75, 110, 121, 166, 0},
    {45, 55, 64, 111, 130, 161, 173},
    {8, 46, 71, 112, 119, 166, 0},
    {18, 36, 76, 89, 113, 114, 143},
    {19, 38, 77, 104, 116, 163, 0},
    {20, 47, 70, 92, 138, 165, 0},
    {2, 48, 74, 113, 128, 160, 0},
    {21, 45, 78, 83, 117, 121, 151},
    {22, 47, 58, 118, 127, 164, 0},
    {16, 39, 62, 112, 134, 158, 0},
    {23, 43, 79, 120, 131, 145, 0},
    {19, 35, 59, 73, 110, 125, 161},
    {20, 36, 63, 94, 136, 161, 0},
    {14, 31, 79, 98, 132, 164, 0},
    {3, 44, 80, 124, 127, 169, 0},
    {19, 46, 81, 117, 135, 167, 0},
    {7, 49, 58, 90, 100, 105, 168},
    {12, 50, 61, 118, 119, 144, 0},
    {13, 51, 64, 114, 118, 157, 0},
    {24, 52, 76, 129, 148, 149, 0},
    {25, 53, 69, 90, 101, 130, 156},
    {20, 46, 65, 80, 120, 140, 170},
    {21, 54, 77, 100, 140, 171, 0},
    {35, 82, 133, 142, 171, 174, 0},
    {14, 30, 83, 113, 125, 170, 0},
    {4, 29, 68, 120, 134, 173, 0},
    {1, 4, 52, 57, 86, 136, 152},
    {26, 51, 56, 91, 122, 137, 168},
    {52, 84, 110, 115, 145, 168, 0},
    {7, 50, 81, 99, 132, 173, 0},
    {23, 55, 67, 95, 172, 174, 0},
    {26, 41, 77, 109, 141, 148, 0},
    {2, 27, 41, 61, 62, 115, 133},
    {27, 40, 56, 124, 125, 126, 0},
    {18, 49, 55, 124, 141, 167, 0},
    {6, 33, 85, 108, 116, 156, 0},
    {28, 48, 70, 85, 105, 129, 158},
    {9, 54, 63, 131, 147, 155, 0},
    {22, 53, 68, 109, 121, 174, 0},
    {3, 13, 48, 78, 95, 123, 0},
    {31, 69, 133, 150, 155, 169, 0},
    {12, 43, 66, 89, 97, 135, 159},
    {5, 39, 75, 102, 136, 167, 0},
    {2, 54, 86, 101, 135, 164, 0},
    {15, 56, 87, 108, 119, 171, 0},
    {10, 44, 82, 91, 111, 144, 149},
    {23, 34, 71, 94, 127, 153, 0},
    {11, 49, 88, 92, 142, 157, 0},
    {29, 34, 87, 97, 147, 162, 0},
    {30, 50, 60, 86, 137, 142, 162},
    {10, 53, 66, 84, 112, 128, 165},
    {22, 57, 85, 93, 140, 159, 0},
    {28, 32, 72, 103, 132, 166, 0},
    {28, 29, 84, 88, 117, 143, 150},
    {1, 26, 45, 80, 128, 147, 0},
    {17, 27, 89, 103, 116, 153, 0},
    {51, 57, 98, 163, 165, 172, 0},
    {21, 37, 73, 138, 152, 169, 0},
    {16, 47, 76, 130, 137, 154, 0},
    {3, 24, 30, 72, 104, 139, 0},
    {9, 40, 90, 106, 134, 151, 0},
    {15, 58, 60, 74, 111, 150, 163},
    {18, 42, 79, 144, 146, 152, 0},
    {25, 38, 65, 99, 122, 160, 0},
    {17, 42, 75, 129, 170, 172, 0}};

// Each row corresponds to a codeword bit.
// The numbers indicate which three LDPC parity checks (rows in Nm) refer to the codeword bit.
// 1-origin.
const uint8_t kFT8_LDPC_Mn[FT8_N][3] = {
    {16, 45, 73},
    {25, 51, 62},
    {33, 58, 78},
    {1, 44, 45},
    {2, 7, 61},
    {3, 6, 54},
    {4, 35, 48},
    {5, 13, 21},
    {8, 56, 79},
    {9, 64, 69},
    {10, 19, 66},
    {11, 36, 60},
    {12, 37, 58},
    {14, 32, 43},
    {15, 63, 80},
    {17, 28, 77},
    {18, 74, 83},
    {22, 53, 81},
    {23, 30, 34},
    {24, 31, 40},
    {26, 41, 76},
    {27, 57, 70},
    {29, 49, 65},
    {3, 38, 78},
    {5, 39, 82},
    {46, 50, 73},
    {51, 52, 74},
    {55, 71, 72},
    {44, 67, 72},
    {43, 68, 78},
    {1, 32, 59},
    {2, 6, 71},
    {4, 16, 54},
    {7, 65, 67},
    {8, 30, 42},
    {9, 22, 31},
    {10, 18, 76},
    {11, 23, 82},
    {12, 28, 61},
    {13, 52, 79},
    {14, 50, 51},
    {15, 81, 83},
    {17, 29, 60},
    {19, 33, 64},
    {20, 26, 73},
    {21, 34, 40},
    {24, 27, 77},
    {25, 55, 58},
    {35, 53, 66},
    {36, 48, 68},
    {37, 46, 75},
    {38, 45, 47},
    {39, 57, 69},
    {41, 56, 62},
    {20, 49, 53},
    {46, 52, 63},
    {45, 70, 75},
    {27, 35, 80},
    {1, 15, 30},
    {2, 68, 80},
    {3, 36, 51},
    {4, 28, 51},
    {5, 31, 56},
    {6, 20, 37},
    {7, 40, 82},
    {8, 60, 69},
    {9, 10, 49},
    {11, 44, 57},
    {12, 39, 59},
    {13, 24, 55},
    {14, 21, 65},
    {16, 71, 78},
    {17, 30, 76},
    {18, 25, 80},
    {19, 61, 83},
    {22, 38, 77},
    {23, 41, 50},
    {7, 26, 58},
    {29, 32, 81},
    {33, 40, 73},
    {18, 34, 48},
    {13, 42, 64},
    {5, 26, 43},
    {47, 69, 72},
    {54, 55, 70},
    {45, 62, 68},
    {10, 63, 67},
    {14, 66, 72},
    {22, 60, 74},
    {35, 39, 79},
    {1, 46, 64},
    {1, 24, 66},
    {2, 5, 70},
    {3, 31, 65},
    {4, 49, 58},
    {1, 4, 5},
    {6, 60, 67},
    {7, 32, 75},
    {8, 48, 82},
    {9, 35, 41},
    {10, 39, 62},
    {11, 14, 61},
    {12, 71, 74},
    {13, 23, 78},
    {11, 35, 55},
    {15, 16, 79},
    {7, 9, 16},
    {17, 54, 63},
    {18, 50, 57},
    {19, 30, 47},
    {20, 64, 80},
    {21, 28, 69},
    {22, 25, 43},
    {13, 22, 37},
    {2, 47, 51},
    {23, 54, 74},
    {26, 34, 72},
    {27, 36, 37},
    {21, 36, 63},
    {29, 40, 44},
    {19, 26, 57},
    {3, 46, 82},
    {14, 15, 58},
    {33, 52, 53},
    {30, 43, 52},
    {6, 9, 52},
    {27, 33, 65},
    {25, 69, 73},
    {38, 55, 83},
    {20, 39, 77},
    {18, 29, 56},
    {32, 48, 71},
    {42, 51, 59},
    {28, 44, 79},
    {34, 60, 62},
    {31, 45, 61},
    {46, 68, 77},
    {6, 24, 76},
    {8, 10, 78},
    {40, 41, 70},
    {17, 50, 53},
    {42, 66, 68},
    {4, 22, 72},
    {36, 64, 81},
    {13, 29, 47},
    {2, 8, 81},
    {56, 67, 73},
    {5, 38, 50},
    {12, 38, 64},
    {59, 72, 80},
    {3, 26, 79},
    {45, 76, 81},
    {1, 65, 74},
    {7, 18, 77},
    {11, 56, 59},
    {14, 39, 54},
    {16, 37, 66},
    {10, 28, 55},
    {15, 60, 70},
    {17, 25, 82},
    {20, 30, 31},
    {12, 67, 68},
    {23, 75, 80},
    {27, 32, 62},
    {24, 69, 75},
    {19, 21, 71},
    {34, 53, 61},
    {35, 46, 47},
    {33, 59, 76},
    {40, 43, 83},
    {41, 42, 63},
    {49, 75, 83},
    {20, 44, 48},
    {42, 49, 57}};

const uint8_t kFT8_LDPC_num_rows[FT8_M] = {
    7, 6, 6, 6, 7, 6, 7, 6, 6, 7, 6, 6, 7, 7, 6, 6,
    6, 7, 6, 7, 6, 7, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6,
    6, 6, 7, 6, 6, 6, 7, 7, 6, 6, 6, 6, 7, 7, 6, 6,
    6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 6, 7, 6, 6, 6, 7,
    6, 6, 6, 7, 7, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7,
    6, 6, 6};