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OpenAudio_ArduinoLibrary/examples/FT8Receive/constantsR.ino

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Add radioDemodulator_F32 and associated examples
2 years ago
/*
* constantsR.ino
* Basically the Goba constants.h and .c with minor changes for Teensy
* Arduino use along with the floating point OpenAudio_ArduinoLibrary.
* Bob Larkin W7PUA, September 2022.
*
*/
/* Thank you to Kārlis Goba, YL3JG, https://github.com/kgoba/ft8_lib
Correct typos
2 years ago
* and to Charley Hill, W5BAA, https://github.com/Rotron/Pocket-FT8
Add radioDemodulator_F32 and associated examples
2 years ago
* as well as the all the contributors to the Joe Taylor WSJT project.
* See "The FT4 and FT8 Communication Protocols," Steve Franks, K9AN,
* Bill Somerville, G4WJS and Joe Taylor, K1JT, QEX July/August 2020
* pp 7-17 as well as https://www.physics.princeton.edu/pulsar/K1JT
*/
/* ***** MIT License ***
Copyright (c) 2018 Kārlis Goba
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.
*/
#if 0
// Retained here as useful notes:
extern int K_BYTES;
extern uint8_t tones[79];
// Costas 7x7 tone pattern
extern const uint8_t kCostas_map[7];
// Gray code map
extern const uint8_t kGray_map[8];
// Parity generator matrix for (174,91) LDPC code, stored in bitpacked format (MSB first)
//extern const uint8_t kGenerator[M][K_BYTES];
extern uint8_t kGenerator[83][12];
// Column order (permutation) in which the bits in codeword are stored
// (Not really used in FT8 v2 - instead the Nm, Mn and generator matrices are already permuted)
//extern const uint8_t kColumn_order[N];
extern uint8_t kColumn_order[174];
// this is the LDPC(174,91) parity check matrix.
// 83 rows.
// each row describes one parity check.
// each number is an index into the codeword (1-origin).
// the codeword bits mentioned in each row must xor to zero.
// From WSJT-X's ldpc_174_91_c_reordered_parity.f90.
//extern const uint8_t kNm[M][7];
extern uint8_t kNm[83][7];
// Mn from WSJT-X's bpdecode174.f90.
// each row corresponds to a codeword bit.
// the numbers indicate which three parity
// checks (rows in Nm) refer to the codeword bit.
// 1-origin.
//extern const uint8_t kMn[N][3];
extern uint8_t kMn[174][3];
// Number of rows (columns in C/C++) in the array Nm.
//extern const uint8_t kNrw[M];
extern uint8_t kNrw[83];
#endif
// See FT8Receive.ino for defines of some constant values.
// Costas 7x7 tone pattern
const uint8_t kCostas_map[7] = { 3,1,4,0,6,5,2 };
// Gray code map
const uint8_t kGray_map[8] = { 0,1,3,2,5,6,4,7 };
// Parity generator matrix for (174,91) LDPC code, stored in bitpacked format (MSB first)
uint8_t kGenerator[83][12] = {
{ 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 }
};
// Column order (permutation) in which the bits in codeword are stored
// (Not really used in FT8 v2 - instead the Nm, Mn and generator matrices are already permuted)
uint8_t kColumn_order[174] = {
0, 1, 2, 3, 28, 4, 5, 6, 7, 8, 9, 10, 11, 34, 12, 32, 13, 14, 15, 16,
17, 18, 36, 29, 43, 19, 20, 42, 21, 40, 30, 37, 22, 47, 61, 45, 44, 23, 41, 39,
49, 24, 46, 50, 48, 26, 31, 33, 51, 38, 52, 59, 55, 66, 57, 27, 60, 35, 54, 58,
25, 56, 62, 64, 67, 69, 63, 68, 70, 72, 65, 73, 75, 74, 71, 77, 78, 76, 79, 80,
53, 81, 83, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173
};
// this is the LDPC(174,91) parity check matrix.
// 83 rows.
// each row describes one parity check.
// each number is an index into the codeword (1-origin).
// the codeword bits mentioned in each row must xor to zero.
// From WSJT-X's ldpc_174_91_c_reordered_parity.f90.
uint8_t kNm[83][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 }
};
// Mn from WSJT-X's bpdecode174.f90.
// each row corresponds to a codeword bit.
// the numbers indicate which three parity
// checks (rows in Nm) refer to the codeword bit.
// 1-origin.
uint8_t kMn[174][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 }
};
uint8_t kNrw[83] = {
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
};