// // This file is part of Dire Wolf, an amateur radio packet TNC. // // Copyright (C) 2019 John Langner, WB2OSZ // // This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 2 of the License, or // (at your option) any later version. // // This program is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // // You should have received a copy of the GNU General Public License // along with this program. If not, see . // // ----------------------------------------------------------------------- // // // Some of this is based on: // // FX.25 Encoder // Author: Jim McGuire KB3MPL // Date: 23 October 2007 // // This program is a single-file implementation of the FX.25 encapsulation // structure for use with AX.25 data packets. Details of the FX.25 // specification are available at: // http://www.stensat.org/Docs/Docs.htm // // This program implements a single RS(255,239) FEC structure. Future // releases will incorporate more capabilities as accommodated in the FX.25 // spec. // // The Reed Solomon encoding routines are based on work performed by // Phil Karn. Phil was kind enough to release his code under the GPL, as // noted below. Consequently, this FX.25 implementation is also released // under the terms of the GPL. // // Phil Karn's original copyright notice: /* Test the Reed-Solomon codecs * for various block sizes and with random data and random error patterns * * Copyright 2002 Phil Karn, KA9Q * May be used under the terms of the GNU General Public License (GPL) * */ #include "direwolf.h" #include #include #include #include #include // uint64_t #include // PRIx64 #include #include "fx25.h" #include "textcolor.h" #define NTAB 3 static struct { int symsize; // Symbol size, bits (1-8). Always 8 for this application. int genpoly; // Field generator polynomial coefficients. int fcs; // First root of RS code generator polynomial, index form. int prim; // Primitive element to generate polynomial roots. int nroots; // RS code generator polynomial degree (number of roots). // Same as number of check bytes added. struct rs *rs; // Pointer to RS codec control block. Filled in at init time. } Tab[NTAB] = { {8, 0x11d, 1, 1, 16, NULL }, // RS(255,239) {8, 0x11d, 1, 1, 32, NULL }, // RS(255,223) {8, 0x11d, 1, 1, 64, NULL }, // RS(255,191) }; /* * Reference: http://www.stensat.org/docs/FX-25_01_06.pdf * FX.25 * Forward Error Correction Extension to * AX.25 Link Protocol For Amateur Packet Radio * Version: 0.01 DRAFT * Date: 01 September 2006 */ struct correlation_tag_s { uint64_t value; // 64 bit value, send LSB first. int n_block_radio; // Size of transmitted block, all in bytes. int k_data_radio; // Size of transmitted data part. int n_block_rs; // Size of RS algorithm block. int k_data_rs; // Size of RS algorithm data part. int itab; // Index into Tab array. }; static const struct correlation_tag_s tags[16] = { /* Tag_00 */ { 0x566ED2717946107ELL, 0, 0, 0, 0, -1 }, // Reserved /* Tag_01 */ { 0xB74DB7DF8A532F3ELL, 255, 239, 255, 239, 0 }, // RS(255, 239) 16-byte check value, 239 information bytes /* Tag_02 */ { 0x26FF60A600CC8FDELL, 144, 128, 255, 239, 0 }, // RS(144,128) - shortened RS(255, 239), 128 info bytes /* Tag_03 */ { 0xC7DC0508F3D9B09ELL, 80, 64, 255, 239, 0 }, // RS(80,64) - shortened RS(255, 239), 64 info bytes /* Tag_04 */ { 0x8F056EB4369660EELL, 48, 32, 255, 239, 0 }, // RS(48,32) - shortened RS(255, 239), 32 info bytes /* Tag_05 */ { 0x6E260B1AC5835FAELL, 255, 223, 255, 223, 1 }, // RS(255, 223) 32-byte check value, 223 information bytes /* Tag_06 */ { 0xFF94DC634F1CFF4ELL, 160, 128, 255, 223, 1 }, // RS(160,128) - shortened RS(255, 223), 128 info bytes /* Tag_07 */ { 0x1EB7B9CDBC09C00ELL, 96, 64, 255, 223, 1 }, // RS(96,64) - shortened RS(255, 223), 64 info bytes /* Tag_08 */ { 0xDBF869BD2DBB1776LL, 64, 32, 255, 223, 1 }, // RS(64,32) - shortened RS(255, 223), 32 info bytes /* Tag_09 */ { 0x3ADB0C13DEAE2836LL, 255, 191, 255, 191, 2 }, // RS(255, 191) 64-byte check value, 191 information bytes /* Tag_0A */ { 0xAB69DB6A543188D6LL, 192, 128, 255, 191, 2 }, // RS(192, 128) - shortened RS(255, 191), 128 info bytes /* Tag_0B */ { 0x4A4ABEC4A724B796LL, 128, 64, 255, 191, 2 }, // RS(128, 64) - shortened RS(255, 191), 64 info bytes /* Tag_0C */ { 0x0293D578626B67E6LL, 0, 0, 0, 0, -1 }, // Undefined /* Tag_0D */ { 0xE3B0B0D6917E58A6LL, 0, 0, 0, 0, -1 }, // Undefined /* Tag_0E */ { 0x720267AF1BE1F846LL, 0, 0, 0, 0, -1 }, // Undefined /* Tag_0F */ { 0x93210201E8F4C706LL, 0, 0, 0, 0, -1 } // Undefined }; #define CLOSE_ENOUGH 8 // How many bits can be wrong in tag yet consider it a match? // Needs to be large enough to match with significant errors // but not so large to get frequent false matches. // Probably don't want >= 16 because the hamming distance between // any two pairs is 32. // What is a good number? 8?? 12?? 15?? // 12 got many false matches with random noise. // Even 8 might be too high. We see 2 or 4 bit errors here // at the point where decoding the block is very improbable. // Given a 64 bit correlation tag value, find acceptable match in table. // Return index into table or -1 for no match. // Both gcc and clang have a built in function to count the number of '1' bits // in an integer. This can result in a single machine instruction. You might need // to supply your own popcount function if using a different compiler. int fx25_tag_find_match (uint64_t t) { for (int c = CTAG_MIN; c <= CTAG_MAX; c++) { if (__builtin_popcountll(t ^ tags[c].value) <= CLOSE_ENOUGH) { //printf ("%016" PRIx64 " received\n", t); //printf ("%016" PRIx64 " tag %d\n", tags[c].value, c); //printf ("%016" PRIx64 " xor, popcount = %d\n", t ^ tags[c].value, __builtin_popcountll(t ^ tags[c].value)); return (c); } } return (-1); } void free_rs_char(struct rs *rs){ free(rs->alpha_to); free(rs->index_of); free(rs->genpoly); free(rs); } /*------------------------------------------------------------- * * Name: fx25_init * * Purpose: This must be called once before any of the other fx25 functions. * * Inputs: debug_level - Controls level of informational / debug messages. * * 0 Only errors. * 1 (default) Transmitting ctag. Currently no other way to know this. * 2 Receive correlation tag detected. FEC decode complete. * 3 Dump data going in and out. * * Use command line -dx to increase level or -qx for quiet. * * Description: Initialize 3 Reed-Solomon codecs, for 16, 32, and 64 check bytes. * *--------------------------------------------------------------*/ static int g_debug_level; void fx25_init ( int debug_level ) { g_debug_level = debug_level; for (int i = 0 ; i < NTAB ; i++) { Tab[i].rs = INIT_RS(Tab[i].symsize, Tab[i].genpoly, Tab[i].fcs, Tab[i].prim, Tab[i].nroots); if (Tab[i].rs == NULL) { text_color_set(DW_COLOR_ERROR); dw_printf("FX.25 internal error: init_rs_char failed!\n"); exit(EXIT_FAILURE); } } // Verify integrity of tables and assumptions. // This also does a quick check for the popcount function. for (int j = 0; j < 16 ; j++) { for (int k = 0; k < 16; k++) { if (j == k) { assert (__builtin_popcountll(tags[j].value ^ tags[k].value) == 0); } else { assert (__builtin_popcountll(tags[j].value ^ tags[k].value) == 32); } } } for (int j = CTAG_MIN; j <= CTAG_MAX; j++) { assert (tags[j].n_block_radio - tags[j].k_data_radio == Tab[tags[j].itab].nroots); assert (tags[j].n_block_rs - tags[j].k_data_rs == Tab[tags[j].itab].nroots); assert (tags[j].n_block_rs == FX25_BLOCK_SIZE); } assert (fx25_pick_mode (1, 239) == 1); assert (fx25_pick_mode (1, 240) == -1); assert (fx25_pick_mode (5, 223) == 5); assert (fx25_pick_mode (5, 224) == -1); assert (fx25_pick_mode (9, 191) == 9); assert (fx25_pick_mode (9, 192) == -1); assert (fx25_pick_mode (16, 32) == 4); assert (fx25_pick_mode (16, 64) == 3); assert (fx25_pick_mode (16, 128) == 2); assert (fx25_pick_mode (16, 239) == 1); assert (fx25_pick_mode (16, 240) == -1); assert (fx25_pick_mode (32, 32) == 8); assert (fx25_pick_mode (32, 64) == 7); assert (fx25_pick_mode (32, 128) == 6); assert (fx25_pick_mode (32, 223) == 5); assert (fx25_pick_mode (32, 234) == -1); assert (fx25_pick_mode (64, 64) == 11); assert (fx25_pick_mode (64, 128) == 10); assert (fx25_pick_mode (64, 191) == 9); assert (fx25_pick_mode (64, 192) == -1); } // fx25_init // Get properties of specified CTAG number. struct rs *fx25_get_rs (int ctag_num) { assert (ctag_num >= CTAG_MIN && ctag_num <= CTAG_MAX); assert (tags[ctag_num].itab >= 0 && tags[ctag_num].itab < NTAB); assert (Tab[tags[ctag_num].itab].rs != NULL); return (Tab[tags[ctag_num].itab].rs); } uint64_t fx25_get_ctag_value (int ctag_num) { assert (ctag_num >= CTAG_MIN && ctag_num <= CTAG_MAX); return (tags[ctag_num].value); } int fx25_get_k_data_radio (int ctag_num) { assert (ctag_num >= CTAG_MIN && ctag_num <= CTAG_MAX); return (tags[ctag_num].k_data_radio); } int fx25_get_k_data_rs (int ctag_num) { assert (ctag_num >= CTAG_MIN && ctag_num <= CTAG_MAX); return (tags[ctag_num].k_data_rs); } int fx25_get_nroots (int ctag_num) { assert (ctag_num >= CTAG_MIN && ctag_num <= CTAG_MAX); return (Tab[tags[ctag_num].itab].nroots); } int fx25_get_debug (void) { return (g_debug_level); } /*------------------------------------------------------------- * * Name: fx25_pick_mode * * Purpose: Pick suitable transmission format based on user preference * and size of data part required. * * Inputs: fx_mode - Normally, this would be 16, 32, or 64 for the desired number * of check bytes. The shortest format, adequate for the * required data length will be picked automatically. * 0x01 thru 0x0b may also be specified for a specific format * but this is expected to be mostly for testing, not normal * operation. * * dlen - Required size for transmitted "data" part, in bytes. * This includes the AX.25 frame with bit stuffing and a flag * pattern on each end. * * Returns: Correlation tag number in range of CTAG_MIN thru CTAG_MAX. * -1 is returned for failure. * * Future: Might be more accomodating. * For example, if 64 check bytes were specified for 200 data bytes, * we might automatically drop it down to 32 check bytes, print a * warning and continue. Keep it simple at first. Fine tune later. * *--------------------------------------------------------------*/ int fx25_pick_mode (int fx_mode, int dlen) { if (fx_mode >= CTAG_MIN && fx_mode <= CTAG_MAX) { if (dlen <= fx25_get_k_data_radio(fx_mode)) { return (fx_mode); } else { return (-1); // Assuming caller prints failure message. } } else if (fx_mode == 16 || fx_mode == 32 || fx_mode == 64) { for (int k = CTAG_MAX; k >= CTAG_MIN; k--) { if (fx_mode == fx25_get_nroots(k) && dlen <= fx25_get_k_data_radio(k)) { return (k); } } return (-1); } else { text_color_set(DW_COLOR_ERROR); dw_printf("FX.25: Transmission format %d must be 0x00 thru 0x0b, 16, 32, or 64.\n", fx_mode); exit(EXIT_FAILURE); } } /* Initialize a Reed-Solomon codec * symsize = symbol size, bits (1-8) - always 8 for this application. * gfpoly = Field generator polynomial coefficients * fcr = first root of RS code generator polynomial, index form * prim = primitive element to generate polynomial roots * nroots = RS code generator polynomial degree (number of roots) */ struct rs *INIT_RS(unsigned int symsize,unsigned int gfpoly,unsigned fcr,unsigned prim, unsigned int nroots){ struct rs *rs; int i, j, sr,root,iprim; if(symsize > 8*sizeof(DTYPE)) return NULL; /* Need version with ints rather than chars */ if(fcr >= (1<= (1<= (1<mm = symsize; rs->nn = (1<alpha_to = (DTYPE *)malloc(sizeof(DTYPE)*(rs->nn+1)); if(rs->alpha_to == NULL){ free(rs); return NULL; } rs->index_of = (DTYPE *)malloc(sizeof(DTYPE)*(rs->nn+1)); if(rs->index_of == NULL){ free(rs->alpha_to); free(rs); return NULL; } /* Generate Galois field lookup tables */ rs->index_of[0] = A0; /* log(zero) = -inf */ rs->alpha_to[A0] = 0; /* alpha**-inf = 0 */ sr = 1; for(i=0;inn;i++){ rs->index_of[sr] = i; rs->alpha_to[i] = sr; sr <<= 1; if(sr & (1<nn; } if(sr != 1){ /* field generator polynomial is not primitive! */ free(rs->alpha_to); free(rs->index_of); free(rs); return NULL; } /* Form RS code generator polynomial from its roots */ rs->genpoly = (DTYPE *)malloc(sizeof(DTYPE)*(nroots+1)); if(rs->genpoly == NULL){ free(rs->alpha_to); free(rs->index_of); free(rs); return NULL; } rs->fcr = fcr; rs->prim = prim; rs->nroots = nroots; /* Find prim-th root of 1, used in decoding */ for(iprim=1;(iprim % prim) != 0;iprim += rs->nn) ; rs->iprim = iprim / prim; rs->genpoly[0] = 1; for (i = 0,root=fcr*prim; i < nroots; i++,root += prim) { rs->genpoly[i+1] = 1; /* Multiply rs->genpoly[] by @**(root + x) */ for (j = i; j > 0; j--){ if (rs->genpoly[j] != 0) rs->genpoly[j] = rs->genpoly[j-1] ^ rs->alpha_to[modnn(rs,rs->index_of[rs->genpoly[j]] + root)]; else rs->genpoly[j] = rs->genpoly[j-1]; } /* rs->genpoly[0] can never be zero */ rs->genpoly[0] = rs->alpha_to[modnn(rs,rs->index_of[rs->genpoly[0]] + root)]; } /* convert rs->genpoly[] to index form for quicker encoding */ for (i = 0; i <= nroots; i++) { rs->genpoly[i] = rs->index_of[rs->genpoly[i]]; } // diagnostic prints /* printf("Alpha To:\n\r"); for (i=0; i < sizeof(DTYPE)*(rs->nn+1); i++) printf("0x%2x,", rs->alpha_to[i]); printf("\n\r"); printf("Index Of:\n\r"); for (i=0; i < sizeof(DTYPE)*(rs->nn+1); i++) printf("0x%2x,", rs->index_of[i]); printf("\n\r"); printf("GenPoly:\n\r"); for (i = 0; i <= nroots; i++) printf("0x%2x,", rs->genpoly[i]); printf("\n\r"); */ return rs; } // TEMPORARY!!! // FIXME: We already have multiple copies of this. // Consolidate them into one somewhere. void fx_hex_dump (unsigned char *p, int len) { int n, i, offset; offset = 0; while (len > 0) { n = len < 16 ? len : 16; dw_printf (" %03x: ", offset); for (i=0; i