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zint/backend/reedsol.c
gitlost df64a0f237 debian: updated using https://salsa.debian.org/debian/zint as
template, props Dmitry Smirnov (ticket #147, props John Crisp);
  TODO: enable building with the GS1 Syntax Engine;
  this involved auditing copyrights which prompted the next item
  re "tif.c" and will prompt the next next item "pdf417.c"
tif.c: replaced LZW compression with tree-based one due to
  "tif_lzw.h"'s original BSD-TAHOE license which has the equivalent
  of the "advertising clause", new implementation (which is much
  faster anyway) props Harald Kuhr and Bob Montgomery
pdf417.c: TODO: Replace all code adapted from "pdf417.frm" as it
  was released under GPL v2.0 or later
pdf417.h: replace unnecessary "pdf417.frm" references with ISO/IEC
  standard as 1st step re above, some expanded comments
general: Codablock-F -> Codablock F (i.e. lose hyphen)
cmake: frontend/frontend_qt: go back to only setting RPATH on macOS
  as not Debian compatible and it seems it's not a good idea on
  Linux anyway; TODO: check BSD + other Unixes
CLI/GUI: make "--verbose" option official and document
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  update haible.de/bruno tarball info - "GB18030.TXT" no longer in
  "jdk-1.4.2/" so mention "libiconv-1.11/" version instead (same)
general: add various SPDXs and normalize some Copyrights
reedsol.c: malloced `logt`/`alog` tables int -> short (slight
  performance improvement)
aztec.c: add copyrights, some code fiddling
BWIPP: update to latest
2026-03-18 15:08:32 +00:00

381 lines
14 KiB
C

/*
This is a simple Reed-Solomon encoder
Copyright (C) Cliff Hones 2004
*/
/*
libzint - the open source barcode library
Copyright (C) 2009-2026 Robin Stuart <rstuart114@gmail.com>
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
1. Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
3. Neither the name of the project nor the names of its contributors
may be used to endorse or promote products derived from this software
without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE
FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
SUCH DAMAGE.
*/
/* SPDX-License-Identifier: BSD-3-Clause */
/* It is not written with high efficiency in mind, so is probably
not suitable for real-time encoding. The aim was to keep it
simple, general and clear.
<Some notes on the theory and implementation need to be added here>
Usage:
First call rs_init_gf(&rs, prime_poly) to set up the Galois Field parameters.
Then call rs_init_code(&rs, nsym, index) to set the encoding size
Then call rs_encode(&rs, datalen, data, out) to encode the data.
These can be called repeatedly as required - but note that
rs_init_code must be called following any rs_init_gf call.
If the parameters are fixed, some of the statics below can be
replaced with constants in the obvious way, and additionally
malloc/free can be avoided by using static arrays of a suitable
size.
Note: use of statics has been done for (up to) 8-bit tables.
*/
#include "common.h"
#include "reedsol.h"
#include "reedsol_logs.h"
/* rs_init_gf(&rs, prime_poly) initialises the parameters for the Galois Field.
The symbol size is determined from the highest bit set in poly
This implementation will support sizes up to 8 bits (see rs_uint_init_gf()
for sizes > 8 bits and <= 30 bits) - bit sizes of 8 or 4 are typical
The poly is the bit pattern representing the GF characteristic
polynomial. e.g. for ECC200 (8-bit symbols) the polynomial is
a**8 + a**5 + a**3 + a**2 + 1, which translates to 0x12d.
*/
INTERNAL void zint_rs_init_gf(rs_t *rs, const unsigned int prime_poly) {
struct item {
const unsigned char *logt;
const unsigned char *alog;
};
/* To add a new prime poly of degree <= 8 add its details to this table and to the table in `test_generate()`
in "backend/tests/test_reedsol.c" and regenerate the log tables by running
"backend/tests/test_reedsol -f generate -g". Paste the result in "reedsol_logs.h" */
static const struct item data[] = {
{ logt_0x13, alog_0x13 }, /* 0 000- */
{ logt_0x25, alog_0x25 }, /* 0 001- */
{ logt_0x43, alog_0x43 }, /* 0 010- */
{ NULL, NULL },
{ logt_0x89, alog_0x89 }, /* 0 100- */
{ NULL, NULL },
{ NULL, NULL },
{ NULL, NULL },
{ logt_0x11d, alog_0x11d }, /* 1 000- */
{ logt_0x12d, alog_0x12d }, /* 1 001- */
{ NULL, NULL },
{ logt_0x163, alog_0x163 }, /* 1 011- */
};
/* Using bits 9-6 as hash to save a few cycles */
/* Alter this hash or just iterate if new prime poly added that doesn't fit */
const unsigned int hash = prime_poly >> 5;
rs->logt = data[hash].logt;
rs->alog = data[hash].alog;
}
/* rs_init_code(&rs, nsym, index) initialises the Reed-Solomon encoder
nsym is the number of symbols to be generated (to be appended
to the input data). index is usually 1 - it is the index of
the constant in the first term (i) of the RS generator polynomial:
(x + 2**i)*(x + 2**(i+1))*... [nsym terms]
For ECC200, index is 1.
*/
INTERNAL void zint_rs_init_code(rs_t *rs, const int nsym, int index) {
int i, k;
const unsigned char *const logt = rs->logt;
const unsigned char *const alog = rs->alog;
unsigned char *rspoly = rs->rspoly;
unsigned char *log_rspoly = rs->log_rspoly;
rs->nsym = nsym;
rspoly[0] = 1;
for (i = 1; i <= nsym; i++) {
rspoly[i] = 1;
for (k = i - 1; k > 0; k--) {
if (rspoly[k])
rspoly[k] = alog[logt[rspoly[k]] + index]; /* Multiply coeff by 2**index */
rspoly[k] ^= rspoly[k - 1]; /* Add coeff of x**(k-1) * x */
}
rspoly[0] = alog[logt[rspoly[0]] + index]; /* 2**(i + (i+1) + ... + index) */
index++;
}
/* Set logs of poly and check if have zero coeffs */
rs->zero = 0;
for (i = 0; i <= nsym; i++) {
log_rspoly[i] = logt[rspoly[i]]; /* For simplicity allow log of 0 */
rs->zero |= rspoly[i] == 0;
}
}
/* rs_encode(&rs, datalen, data, res) generates nsym Reed-Solomon codes (nsym as given in rs_init_code()) */
INTERNAL void zint_rs_encode(const rs_t *rs, const int datalen, const unsigned char *data, unsigned char *res) {
int i, k;
const unsigned char *const logt = rs->logt;
const unsigned char *const alog = rs->alog;
const unsigned char *const rspoly = rs->rspoly;
const unsigned char *const log_rspoly = rs->log_rspoly;
const int nsym = rs->nsym;
const int nsym_halved = nsym >> 1;
memset(res, 0, nsym);
if (rs->zero) { /* Poly has a zero coeff so need to check in inner loop */
for (i = 0; i < datalen; i++) {
const unsigned int m = res[nsym - 1] ^ data[i];
if (m) {
const unsigned int log_m = logt[m];
for (k = nsym - 1; k > 0; k--) {
if (rspoly[k])
res[k] = (unsigned char) (res[k - 1] ^ alog[log_m + log_rspoly[k]]);
else
res[k] = res[k - 1];
}
res[0] = alog[log_m + log_rspoly[0]];
} else {
memmove(res + 1, res, nsym - 1);
res[0] = 0;
}
}
} else { /* Avoid a branch in inner loop */
for (i = 0; i < datalen; i++) {
const unsigned int m = res[nsym - 1] ^ data[i];
if (m) {
const unsigned int log_m = logt[m];
for (k = nsym - 1; k > 0; k--) {
res[k] = (unsigned char) (res[k - 1] ^ alog[log_m + log_rspoly[k]]);
}
res[0] = alog[log_m + log_rspoly[0]];
} else {
memmove(res + 1, res, nsym - 1);
res[0] = 0;
}
}
}
/* Reverse the result */
for (i = 0; i < nsym_halved; i++) {
const unsigned char tmp = res[i];
res[i] = res[nsym - 1 - i];
res[nsym - 1 - i] = tmp;
}
}
/* The same as above but for unsigned int data and result - Aztec code compatible */
INTERNAL void zint_rs_encode_uint(const rs_t *rs, const int datalen, const unsigned int *data, unsigned int *res) {
int i, k;
const unsigned char *const logt = rs->logt;
const unsigned char *const alog = rs->alog;
const unsigned char *const rspoly = rs->rspoly;
const unsigned char *const log_rspoly = rs->log_rspoly;
const int nsym = rs->nsym;
const int nsym_halved = nsym >> 1;
memset(res, 0, sizeof(unsigned int) * nsym);
if (rs->zero) { /* Poly has a zero coeff so need to check in inner loop */
for (i = 0; i < datalen; i++) {
const unsigned int m = res[nsym - 1] ^ data[i];
if (m) {
const unsigned int log_m = logt[m];
for (k = nsym - 1; k > 0; k--) {
if (rspoly[k])
res[k] = res[k - 1] ^ alog[log_m + log_rspoly[k]];
else
res[k] = res[k - 1];
}
res[0] = alog[log_m + log_rspoly[0]];
} else {
memmove(res + 1, res, sizeof(unsigned int) * (nsym - 1));
res[0] = 0;
}
}
} else { /* Avoid a branch in inner loop */
for (i = 0; i < datalen; i++) {
const unsigned int m = res[nsym - 1] ^ data[i];
if (m) {
const unsigned int log_m = logt[m];
for (k = nsym - 1; k > 0; k--) {
res[k] = res[k - 1] ^ alog[log_m + log_rspoly[k]];
}
res[0] = alog[log_m + log_rspoly[0]];
} else {
memmove(res + 1, res, sizeof(unsigned int) * (nsym - 1));
res[0] = 0;
}
}
}
/* Reverse the result */
for (i = 0; i < nsym_halved; i++) {
const unsigned int tmp = res[i];
res[i] = res[nsym - 1 - i];
res[nsym - 1 - i] = tmp;
}
}
/* Versions of the above for bitlengths > 8 and <= 30 and unsigned int data and results - Aztec code compatible */
/* Usage:
First call rs_uint_init_gf(&rs_uint, prime_poly, logmod) to set up the Galois Field parameters.
Then call rs_uint_init_code(&rs_uint, nsym, index) to set the encoding size
Then call rs_uint_encode(&rs_uint, datalen, data, out) to encode the data.
Then call rs_uint_free(&rs_uint) to free the log tables.
*/
/* `logmod` (field characteristic) will be 2**bitlength - 1, eg 1023 for bitlength 10, 4095 for bitlength 12 */
INTERNAL int zint_rs_uint_init_gf(rs_uint_t *rs_uint, const unsigned int prime_poly, const int logmod) {
int b, p, v;
unsigned short *logt, *alog;
b = logmod + 1;
rs_uint->logt = NULL;
rs_uint->alog = NULL;
if (!(logt = (unsigned short *) calloc(b, sizeof(unsigned short)))) {
return 0;
}
if (!(alog = (unsigned short *) calloc(b * 2, sizeof(unsigned short)))) {
free(logt);
return 0;
}
/* Calculate the log/alog tables */
for (p = 1, v = 0; v < logmod; v++) {
alog[v] = p;
alog[logmod + v] = p; /* Double up, avoids mod */
logt[p] = v;
p <<= 1;
if (p & b) /* If overflow */
p ^= prime_poly; /* Subtract prime poly */
}
rs_uint->logt = logt;
rs_uint->alog = alog;
return 1;
}
INTERNAL void zint_rs_uint_init_code(rs_uint_t *rs_uint, const int nsym, int index) {
int i, k;
const unsigned short *const logt = rs_uint->logt;
const unsigned short *const alog = rs_uint->alog;
unsigned short *rspoly = rs_uint->rspoly;
unsigned int *log_rspoly = rs_uint->log_rspoly;
if (logt == NULL || alog == NULL) {
return;
}
rs_uint->nsym = nsym;
rspoly[0] = 1;
for (i = 1; i <= nsym; i++) {
rspoly[i] = 1;
for (k = i - 1; k > 0; k--) {
if (rspoly[k])
rspoly[k] = alog[(logt[rspoly[k]] + index)];
rspoly[k] ^= rspoly[k - 1];
}
rspoly[0] = alog[(logt[rspoly[0]] + index)];
index++;
}
/* Set logs of poly and check if have zero coeffs */
rs_uint->zero = 0;
for (i = 0; i <= nsym; i++) {
log_rspoly[i] = logt[rspoly[i]]; /* For simplicity allow log of 0 */
rs_uint->zero |= rspoly[i] == 0;
}
}
INTERNAL void zint_rs_uint_encode(const rs_uint_t *rs_uint, const int datalen, const unsigned int *data,
unsigned int *res) {
int i, k;
const unsigned short *const logt = rs_uint->logt;
const unsigned short *const alog = rs_uint->alog;
const unsigned short *const rspoly = rs_uint->rspoly;
const unsigned int *const log_rspoly = rs_uint->log_rspoly;
const int nsym = rs_uint->nsym;
const int nsym_halved = nsym >> 1;
memset(res, 0, sizeof(unsigned int) * nsym);
if (logt == NULL || alog == NULL) {
return;
}
if (rs_uint->zero) { /* Poly has a zero coeff so need to check in inner loop */
for (i = 0; i < datalen; i++) {
const unsigned int m = res[nsym - 1] ^ data[i];
if (m) {
const unsigned int log_m = logt[m];
for (k = nsym - 1; k > 0; k--) {
if (rspoly[k])
res[k] = res[k - 1] ^ alog[log_m + log_rspoly[k]];
else
res[k] = res[k - 1];
}
res[0] = alog[log_m + log_rspoly[0]];
} else {
memmove(res + 1, res, sizeof(unsigned int) * (nsym - 1));
res[0] = 0;
}
}
} else { /* Avoid a branch in inner loop */
for (i = 0; i < datalen; i++) {
const unsigned int m = res[nsym - 1] ^ data[i];
if (m) {
const unsigned int log_m = logt[m];
for (k = nsym - 1; k > 0; k--) {
res[k] = res[k - 1] ^ alog[log_m + log_rspoly[k]];
}
res[0] = alog[log_m + log_rspoly[0]];
} else {
memmove(res + 1, res, sizeof(unsigned int) * (nsym - 1));
res[0] = 0;
}
}
}
/* Reverse the result */
for (i = 0; i < nsym_halved; i++) {
const unsigned int tmp = res[i];
res[i] = res[nsym - 1 - i];
res[nsym - 1 - i] = tmp;
}
}
INTERNAL void zint_rs_uint_free(rs_uint_t *rs_uint) {
if (rs_uint->logt) {
free(rs_uint->logt);
rs_uint->logt = NULL;
}
if (rs_uint->alog) {
free(rs_uint->alog);
rs_uint->alog = NULL;
}
}
/* vim: set ts=4 sw=4 et : */