--- /dev/null
+/*
+ * Copyright © 2012 Keith Packard <keithp@keithp.com>
+ *
+ * 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; version 2 of the License.
+ *
+ * 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, write to the Free Software Foundation, Inc.,
+ * 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA.
+ */
+
+#include <ao_fec.h>
+#include <stdio.h>
+
+/*
+ * byte order repeats through 3 2 1 0
+ *
+ * bit-pair order repeats through
+ *
+ * 1/0 3/2 5/4 7/6
+ *
+ * So, the over all order is:
+ *
+ * 3,1/0 2,1/0 1,1/0 0,1/0
+ * 3,3/2 2,3/2 1,3/2 0,3/2
+ * 3,5/4 2,5/4 1,5/4 0,5/4
+ * 3,7/6 2,7/6 1,7/6 0,7/6
+ *
+ * The raw bit order is thus
+ *
+ * 1e/1f 16/17 0e/0f 06/07
+ * 1c/1d 14/15 0c/0d 04/05
+ * 1a/1b 12/13 0a/0b 02/03
+ * 18/19 10/11 08/09 00/01
+ */
+
+static inline uint16_t ao_interleave_index(uint16_t i) {
+ uint8_t l = i & 0x1e;
+ uint16_t h = i & ~0x1e;
+ uint8_t o = 0x1e ^ (((l >> 2) & 0x6) | ((l << 2) & 0x18));
+ return h | o;
+}
+
+struct ao_soft_sym {
+ uint8_t a, b;
+};
+
+#define NUM_STATE 8
+#define NUM_HIST 8
+#define MOD_HIST(b) ((b) & 7)
+
+#define V_0 0xc0
+#define V_1 0x40
+
+static const struct ao_soft_sym ao_fec_decode_table[NUM_STATE][2] = {
+/* next 0 1 state */
+ { { V_0, V_0 }, { V_1, V_1 } } , /* 000 */
+ { { V_0, V_1 }, { V_1, V_0 } }, /* 001 */
+ { { V_1, V_1 }, { V_0, V_0 } }, /* 010 */
+ { { V_1, V_0 }, { V_0, V_1 } }, /* 011 */
+ { { V_1, V_1 }, { V_0, V_0 } }, /* 100 */
+ { { V_1, V_0 }, { V_0, V_1 } }, /* 101 */
+ { { V_0, V_0 }, { V_1, V_1 } }, /* 110 */
+ { { V_0, V_1 }, { V_1, V_0 } } /* 111 */
+};
+
+static inline uint8_t
+ao_next_state(uint8_t state, uint8_t bit)
+{
+ return ((state << 1) | bit) & 0x7;
+}
+
+static inline uint16_t ao_abs(int16_t x) { return x < 0 ? -x : x; }
+
+static inline uint16_t
+ao_cost(struct ao_soft_sym a, struct ao_soft_sym b)
+{
+ return ao_abs(a.a - b.a) + ao_abs(a.b - b.b);
+}
+
+/*
+ * 'in' is 8-bits per symbol soft decision data
+ * 'len' is input byte length. 'out' must be
+ * 'len'/16 bytes long
+ */
+
+uint8_t
+ao_fec_decode(uint8_t *in, uint16_t len, uint8_t *out, uint8_t out_len, uint16_t (*callback)())
+{
+ static uint16_t cost[2][NUM_STATE]; /* path cost */
+ static uint16_t bits[2][NUM_STATE]; /* save bits to quickly output them */
+ uint16_t i; /* input byte index */
+ uint16_t b; /* encoded symbol index (bytes/2) */
+ uint16_t o; /* output bit index */
+ uint8_t p; /* previous cost/bits index */
+ uint8_t n; /* next cost/bits index */
+ uint8_t state; /* state index */
+ uint8_t bit; /* original encoded bit index */
+ const uint8_t *whiten = ao_fec_whiten_table;
+ uint16_t interleave; /* input byte array index */
+ struct ao_soft_sym s; /* input symbol pair */
+ uint16_t avail;
+
+ p = 0;
+ for (state = 0; state < NUM_STATE; state++) {
+ cost[0][state] = 0xffff;
+ bits[0][state] = 0;
+ }
+ cost[0][0] = 0;
+
+ if (callback)
+ avail = 0;
+ else
+ avail = len;
+
+ o = 0;
+ for (i = 0; i < len; i += 2) {
+ b = i/2;
+ n = p ^ 1;
+
+ if (!avail) {
+ avail = callback();
+ if (!avail)
+ break;
+ }
+
+ /* Fetch one pair of input bytes, de-interleaving
+ * the input.
+ */
+ interleave = ao_interleave_index(i);
+ s.a = in[interleave];
+ s.b = in[interleave+1];
+
+ /* Reset next costs to 'impossibly high' values so that
+ * the first path through this state is cheaper than this
+ */
+ for (state = 0; state < NUM_STATE; state++)
+ cost[n][state] = 0xffff;
+
+ /* Compute path costs and accumulate output bit path
+ * for each state and encoded bit value
+ */
+ for (state = 0; state < NUM_STATE; state++) {
+ for (bit = 0; bit < 2; bit++) {
+ int bit_cost = cost[p][state] + ao_cost(s, ao_fec_decode_table[state][bit]);
+ uint8_t bit_state = ao_next_state(state, bit);
+
+ /* Only track the minimal cost to reach
+ * this state; the best path can never
+ * go through the higher cost paths as
+ * total path cost is cumulative
+ */
+ if (bit_cost < cost[n][bit_state]) {
+ cost[n][bit_state] = bit_cost;
+ bits[n][bit_state] = (bits[p][state] << 1) | (state & 1);
+ }
+ }
+ }
+
+#if 0
+ printf ("bit %3d symbol %2x %2x:", i/2, s.a, s.b);
+ for (state = 0; state < NUM_STATE; state++) {
+ printf (" %5d(%04x)", cost[n][state], bits[n][state]);
+ }
+ printf ("\n");
+#endif
+ p = n;
+
+ /* A loop is needed to handle the last output byte. It
+ * won't have any bits of future data to perform full
+ * error correction, but we might as well give the
+ * best possible answer anyways.
+ */
+ while ((b - o) >= (8 + NUM_HIST) || (i + 2 >= len && b > o)) {
+
+ /* Compute number of bits to the end of the
+ * last full byte of data. This is generally
+ * NUM_HIST, unless we've reached
+ * the end of the input, in which case
+ * it will be seven.
+ */
+ int8_t dist = b - (o + 8); /* distance to last ready-for-writing bit */
+ uint16_t min_cost; /* lowest cost */
+ uint8_t min_state; /* lowest cost state */
+
+ /* Find the best fit at the current point
+ * of the decode.
+ */
+ min_cost = cost[p][0];
+ min_state = 0;
+ for (state = 1; state < NUM_STATE; state++) {
+ if (cost[p][state] < min_cost) {
+ min_cost = cost[p][state];
+ min_state = state;
+ }
+ }
+
+ /* The very last byte of data has the very last bit
+ * of data left in the state value; just smash the
+ * bits value in place and reset the 'dist' from
+ * -1 to 0 so that the full byte is read out
+ */
+ if (dist < 0) {
+ bits[p][min_state] = (bits[p][min_state] << 1) | (min_state & 1);
+ dist = 0;
+ }
+
+#if 0
+ printf ("\tbit %3d min_cost %5d old bit %3d old_state %x bits %02x whiten %0x\n",
+ i/2, min_cost, o + 8, min_state, (bits[p][min_state] >> dist) & 0xff, *whiten);
+#endif
+ if (out_len) {
+ *out++ = (bits[p][min_state] >> dist) ^ *whiten++;
+ --out_len;
+ }
+ o += 8;
+ }
+ }
+ return len/16;
+}