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|
/*
* Accelerated Viterbi decoder implementation
*
* Copyright (C) 2013, 2014 Thomas Tsou <tom@tsou.cc>
*
* All Rights Reserved
*
* 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, write to the Free Software Foundation, Inc.,
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
*/
#include <stdlib.h>
#include <string.h>
#include <errno.h>
#include "config.h"
#include <osmocom/core/conv.h>
#define BIT2NRZ(REG,N) (((REG >> N) & 0x01) * 2 - 1) * -1
#define NUM_STATES(K) (K == 7 ? 64 : 16)
#define INIT_POINTERS(simd) \
{ \
osmo_conv_metrics_k5_n2 = osmo_conv_##simd##_metrics_k5_n2; \
osmo_conv_metrics_k5_n3 = osmo_conv_##simd##_metrics_k5_n3; \
osmo_conv_metrics_k5_n4 = osmo_conv_##simd##_metrics_k5_n4; \
osmo_conv_metrics_k7_n2 = osmo_conv_##simd##_metrics_k7_n2; \
osmo_conv_metrics_k7_n3 = osmo_conv_##simd##_metrics_k7_n3; \
osmo_conv_metrics_k7_n4 = osmo_conv_##simd##_metrics_k7_n4; \
vdec_malloc = &osmo_conv_##simd##_vdec_malloc; \
vdec_free = &osmo_conv_##simd##_vdec_free; \
}
static int init_complete = 0;
__attribute__ ((visibility("hidden"))) int avx2_supported = 0;
__attribute__ ((visibility("hidden"))) int sse3_supported = 0;
__attribute__ ((visibility("hidden"))) int sse41_supported = 0;
/**
* These pointers are being initialized at runtime by the
* osmo_conv_init() depending on supported SIMD extensions.
*/
static int16_t *(*vdec_malloc)(size_t n);
static void (*vdec_free)(int16_t *ptr);
void (*osmo_conv_metrics_k5_n2)(const int8_t *seq,
const int16_t *out, int16_t *sums, int16_t *paths, int norm);
void (*osmo_conv_metrics_k5_n3)(const int8_t *seq,
const int16_t *out, int16_t *sums, int16_t *paths, int norm);
void (*osmo_conv_metrics_k5_n4)(const int8_t *seq,
const int16_t *out, int16_t *sums, int16_t *paths, int norm);
void (*osmo_conv_metrics_k7_n2)(const int8_t *seq,
const int16_t *out, int16_t *sums, int16_t *paths, int norm);
void (*osmo_conv_metrics_k7_n3)(const int8_t *seq,
const int16_t *out, int16_t *sums, int16_t *paths, int norm);
void (*osmo_conv_metrics_k7_n4)(const int8_t *seq,
const int16_t *out, int16_t *sums, int16_t *paths, int norm);
/* Forward malloc wrappers */
int16_t *osmo_conv_gen_vdec_malloc(size_t n);
void osmo_conv_gen_vdec_free(int16_t *ptr);
#if defined(HAVE_SSE3)
int16_t *osmo_conv_sse_vdec_malloc(size_t n);
void osmo_conv_sse_vdec_free(int16_t *ptr);
#endif
#if defined(HAVE_SSE3) && defined(HAVE_AVX2)
int16_t *osmo_conv_sse_avx_vdec_malloc(size_t n);
void osmo_conv_sse_avx_vdec_free(int16_t *ptr);
#endif
/* Forward Metric Units */
void osmo_conv_gen_metrics_k5_n2(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_gen_metrics_k5_n3(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_gen_metrics_k5_n4(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_gen_metrics_k7_n2(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_gen_metrics_k7_n3(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_gen_metrics_k7_n4(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
#if defined(HAVE_SSE3)
void osmo_conv_sse_metrics_k5_n2(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_metrics_k5_n3(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_metrics_k5_n4(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_metrics_k7_n2(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_metrics_k7_n3(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_metrics_k7_n4(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
#endif
#if defined(HAVE_SSE3) && defined(HAVE_AVX2)
void osmo_conv_sse_avx_metrics_k5_n2(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_avx_metrics_k5_n3(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_avx_metrics_k5_n4(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_avx_metrics_k7_n2(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_avx_metrics_k7_n3(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
void osmo_conv_sse_avx_metrics_k7_n4(const int8_t *seq, const int16_t *out,
int16_t *sums, int16_t *paths, int norm);
#endif
/* Trellis State
* state - Internal lshift register value
* prev - Register values of previous 0 and 1 states
*/
struct vstate {
unsigned state;
unsigned prev[2];
};
/* Trellis Object
* num_states - Number of states in the trellis
* sums - Accumulated path metrics
* outputs - Trellis output values
* vals - Input value that led to each state
*/
struct vtrellis {
int num_states;
int16_t *sums;
int16_t *outputs;
uint8_t *vals;
};
/* Viterbi Decoder
* n - Code order
* k - Constraint length
* len - Horizontal length of trellis
* recursive - Set to '1' if the code is recursive
* intrvl - Normalization interval
* trellis - Trellis object
* paths - Trellis paths
*/
struct vdecoder {
int n;
int k;
int len;
int recursive;
int intrvl;
struct vtrellis trellis;
int16_t **paths;
void (*metric_func)(const int8_t *, const int16_t *,
int16_t *, int16_t *, int);
};
/* Accessor calls */
static inline int conv_code_recursive(const struct osmo_conv_code *code)
{
return code->next_term_output ? 1 : 0;
}
/* Left shift and mask for finding the previous state */
static unsigned vstate_lshift(unsigned reg, int k, int val)
{
unsigned mask;
if (k == 5)
mask = 0x0e;
else if (k == 7)
mask = 0x3e;
else
mask = 0;
return ((reg << 1) & mask) | val;
}
/* Bit endian manipulators */
static inline unsigned bitswap2(unsigned v)
{
return ((v & 0x02) >> 1) | ((v & 0x01) << 1);
}
static inline unsigned bitswap3(unsigned v)
{
return ((v & 0x04) >> 2) | ((v & 0x02) >> 0) |
((v & 0x01) << 2);
}
static inline unsigned bitswap4(unsigned v)
{
return ((v & 0x08) >> 3) | ((v & 0x04) >> 1) |
((v & 0x02) << 1) | ((v & 0x01) << 3);
}
static inline unsigned bitswap5(unsigned v)
{
return ((v & 0x10) >> 4) | ((v & 0x08) >> 2) | ((v & 0x04) >> 0) |
((v & 0x02) << 2) | ((v & 0x01) << 4);
}
static inline unsigned bitswap6(unsigned v)
{
return ((v & 0x20) >> 5) | ((v & 0x10) >> 3) | ((v & 0x08) >> 1) |
((v & 0x04) << 1) | ((v & 0x02) << 3) | ((v & 0x01) << 5);
}
static unsigned bitswap(unsigned v, unsigned n)
{
switch (n) {
case 1:
return v;
case 2:
return bitswap2(v);
case 3:
return bitswap3(v);
case 4:
return bitswap4(v);
case 5:
return bitswap5(v);
case 6:
return bitswap6(v);
default:
return 0;
}
}
/* Generate non-recursive state output from generator state table
* Note that the shift register moves right (i.e. the most recent bit is
* shifted into the register at k-1 bit of the register), which is typical
* textbook representation. The API transition table expects the most recent
* bit in the low order bit, or left shift. A bitswap operation is required
* to accommodate the difference.
*/
static unsigned gen_output(struct vstate *state, int val,
const struct osmo_conv_code *code)
{
unsigned out, prev;
prev = bitswap(state->prev[0], code->K - 1);
out = code->next_output[prev][val];
out = bitswap(out, code->N);
return out;
}
/* Populate non-recursive trellis state
* For a given state defined by the k-1 length shift register, find the
* value of the input bit that drove the trellis to that state. Also
* generate the N outputs of the generator polynomial at that state.
*/
static int gen_state_info(uint8_t *val, unsigned reg,
int16_t *output, const struct osmo_conv_code *code)
{
int i;
unsigned out;
struct vstate state;
/* Previous '0' state */
state.state = reg;
state.prev[0] = vstate_lshift(reg, code->K, 0);
state.prev[1] = vstate_lshift(reg, code->K, 1);
*val = (reg >> (code->K - 2)) & 0x01;
/* Transition output */
out = gen_output(&state, *val, code);
/* Unpack to NRZ */
for (i = 0; i < code->N; i++)
output[i] = BIT2NRZ(out, i);
return 0;
}
/* Generate recursive state output from generator state table */
static unsigned gen_recursive_output(struct vstate *state,
uint8_t *val, unsigned reg,
const struct osmo_conv_code *code, int pos)
{
int val0, val1;
unsigned out, prev;
/* Previous '0' state */
prev = vstate_lshift(reg, code->K, 0);
prev = bitswap(prev, code->K - 1);
/* Input value */
val0 = (reg >> (code->K - 2)) & 0x01;
val1 = (code->next_term_output[prev] >> pos) & 0x01;
*val = val0 == val1 ? 0 : 1;
/* Wrapper for osmocom state access */
prev = bitswap(state->prev[0], code->K - 1);
/* Compute the transition output */
out = code->next_output[prev][*val];
out = bitswap(out, code->N);
return out;
}
/* Populate recursive trellis state
* The bit position of the systematic bit is not explicitly marked by the
* API, so it must be extracted from the generator table. Otherwise,
* populate the trellis similar to the non-recursive version.
* Non-systematic recursive codes are not supported.
*/
static int gen_recursive_state_info(uint8_t *val,
unsigned reg, int16_t *output, const struct osmo_conv_code *code)
{
int i, j, pos = -1;
int ns = NUM_STATES(code->K);
unsigned out;
struct vstate state;
/* Previous '0' and '1' states */
state.state = reg;
state.prev[0] = vstate_lshift(reg, code->K, 0);
state.prev[1] = vstate_lshift(reg, code->K, 1);
/* Find recursive bit location */
for (i = 0; i < code->N; i++) {
for (j = 0; j < ns; j++) {
if ((code->next_output[j][0] >> i) & 0x01)
break;
}
if (j == ns) {
pos = i;
break;
}
}
/* Non-systematic recursive code not supported */
if (pos < 0)
return -EPROTO;
/* Transition output */
out = gen_recursive_output(&state, val, reg, code, pos);
/* Unpack to NRZ */
for (i = 0; i < code->N; i++)
output[i] = BIT2NRZ(out, i);
return 0;
}
/* Release the trellis */
static void free_trellis(struct vtrellis *trellis)
{
if (!trellis)
return;
vdec_free(trellis->outputs);
vdec_free(trellis->sums);
free(trellis->vals);
}
/* Initialize the trellis object
* Initialization consists of generating the outputs and output value of a
* given state. Due to trellis symmetry and anti-symmetry, only one of the
* transition paths is utilized by the butterfly operation in the forward
* recursion, so only one set of N outputs is required per state variable.
*/
static int generate_trellis(struct vdecoder *dec,
const struct osmo_conv_code *code)
{
struct vtrellis *trellis = &dec->trellis;
int16_t *outputs;
int i, rc;
int ns = NUM_STATES(code->K);
int olen = (code->N == 2) ? 2 : 4;
trellis->num_states = ns;
trellis->sums = vdec_malloc(ns);
trellis->outputs = vdec_malloc(ns * olen);
trellis->vals = (uint8_t *) malloc(ns * sizeof(uint8_t));
if (!trellis->sums || !trellis->outputs || !trellis->vals) {
rc = -ENOMEM;
goto fail;
}
/* Populate the trellis state objects */
for (i = 0; i < ns; i++) {
outputs = &trellis->outputs[olen * i];
if (dec->recursive) {
rc = gen_recursive_state_info(&trellis->vals[i],
i, outputs, code);
} else {
rc = gen_state_info(&trellis->vals[i],
i, outputs, code);
}
if (rc < 0)
goto fail;
/* Set accumulated path metrics to zero */
trellis->sums[i] = 0;
}
/**
* For termination other than tail-biting, initialize the zero state
* as the encoder starting state. Initialize with the maximum
* accumulated sum at length equal to the constraint length.
*/
if (code->term != CONV_TERM_TAIL_BITING)
trellis->sums[0] = INT8_MAX * code->N * code->K;
return 0;
fail:
free_trellis(trellis);
return rc;
}
static void _traceback(struct vdecoder *dec,
unsigned state, uint8_t *out, int len)
{
int i;
unsigned path;
for (i = len - 1; i >= 0; i--) {
path = dec->paths[i][state] + 1;
out[i] = dec->trellis.vals[state];
state = vstate_lshift(state, dec->k, path);
}
}
static void _traceback_rec(struct vdecoder *dec,
unsigned state, uint8_t *out, int len)
{
int i;
unsigned path;
for (i = len - 1; i >= 0; i--) {
path = dec->paths[i][state] + 1;
out[i] = path ^ dec->trellis.vals[state];
state = vstate_lshift(state, dec->k, path);
}
}
/* Traceback and generate decoded output
* Find the largest accumulated path metric at the final state except for
* the zero terminated case, where we assume the final state is always zero.
*/
static int traceback(struct vdecoder *dec, uint8_t *out, int term, int len)
{
int i, sum, max = -1;
unsigned path, state = 0;
if (term != CONV_TERM_FLUSH) {
for (i = 0; i < dec->trellis.num_states; i++) {
sum = dec->trellis.sums[i];
if (sum > max) {
max = sum;
state = i;
}
}
if (max < 0)
return -EPROTO;
}
for (i = dec->len - 1; i >= len; i--) {
path = dec->paths[i][state] + 1;
state = vstate_lshift(state, dec->k, path);
}
if (dec->recursive)
_traceback_rec(dec, state, out, len);
else
_traceback(dec, state, out, len);
return 0;
}
/* Release decoder object */
static void vdec_deinit(struct vdecoder *dec)
{
if (!dec)
return;
free_trellis(&dec->trellis);
if (dec->paths != NULL) {
vdec_free(dec->paths[0]);
free(dec->paths);
}
}
/* Initialize decoder object with code specific params
* Subtract the constraint length K on the normalization interval to
* accommodate the initialization path metric at state zero.
*/
static int vdec_init(struct vdecoder *dec, const struct osmo_conv_code *code)
{
int i, ns, rc;
ns = NUM_STATES(code->K);
dec->n = code->N;
dec->k = code->K;
dec->recursive = conv_code_recursive(code);
dec->intrvl = INT16_MAX / (dec->n * INT8_MAX) - dec->k;
if (dec->k == 5) {
switch (dec->n) {
case 2:
dec->metric_func = osmo_conv_metrics_k5_n2;
break;
case 3:
dec->metric_func = osmo_conv_metrics_k5_n3;
break;
case 4:
dec->metric_func = osmo_conv_metrics_k5_n4;
break;
default:
return -EINVAL;
}
} else if (dec->k == 7) {
switch (dec->n) {
case 2:
dec->metric_func = osmo_conv_metrics_k7_n2;
break;
case 3:
dec->metric_func = osmo_conv_metrics_k7_n3;
break;
case 4:
dec->metric_func = osmo_conv_metrics_k7_n4;
break;
default:
return -EINVAL;
}
} else {
return -EINVAL;
}
if (code->term == CONV_TERM_FLUSH)
dec->len = code->len + code->K - 1;
else
dec->len = code->len;
rc = generate_trellis(dec, code);
if (rc)
return rc;
dec->paths = (int16_t **) malloc(sizeof(int16_t *) * dec->len);
if (!dec->paths)
goto enomem;
dec->paths[0] = vdec_malloc(ns * dec->len);
if (!dec->paths[0])
goto enomem;
for (i = 1; i < dec->len; i++)
dec->paths[i] = &dec->paths[0][i * ns];
return 0;
enomem:
vdec_deinit(dec);
return -ENOMEM;
}
/* Depuncture sequence with nagative value terminated puncturing matrix */
static int depuncture(const int8_t *in, const int *punc, int8_t *out, int len)
{
int i, n = 0, m = 0;
for (i = 0; i < len; i++) {
if (i == punc[n]) {
out[i] = 0;
n++;
continue;
}
out[i] = in[m++];
}
return 0;
}
/* Forward trellis recursion
* Generate branch metrics and path metrics with a combined function. Only
* accumulated path metric sums and path selections are stored. Normalize on
* the interval specified by the decoder.
*/
static void forward_traverse(struct vdecoder *dec, const int8_t *seq)
{
int i;
for (i = 0; i < dec->len; i++) {
dec->metric_func(&seq[dec->n * i],
dec->trellis.outputs,
dec->trellis.sums,
dec->paths[i],
!(i % dec->intrvl));
}
}
/* Convolutional decode with a decoder object
* Initial puncturing run if necessary followed by the forward recursion.
* For tail-biting perform a second pass before running the backward
* traceback operation.
*/
static int conv_decode(struct vdecoder *dec, const int8_t *seq,
const int *punc, uint8_t *out, int len, int term)
{
int8_t depunc[dec->len * dec->n];
if (punc) {
depuncture(seq, punc, depunc, dec->len * dec->n);
seq = depunc;
}
/* Propagate through the trellis with interval normalization */
forward_traverse(dec, seq);
if (term == CONV_TERM_TAIL_BITING)
forward_traverse(dec, seq);
return traceback(dec, out, term, len);
}
static void osmo_conv_init(void)
{
init_complete = 1;
#ifdef HAVE___BUILTIN_CPU_SUPPORTS
/* Detect CPU capabilities */
#ifdef HAVE_AVX2
avx2_supported = __builtin_cpu_supports("avx2");
#endif
#ifdef HAVE_SSE3
sse3_supported = __builtin_cpu_supports("sse3");
#endif
#ifdef HAVE_SSE4_1
sse41_supported = __builtin_cpu_supports("sse4.1");
#endif
#endif
/**
* Usage of curly braces is mandatory,
* because we use multi-line define.
*/
#if defined(HAVE_SSE3) && defined(HAVE_AVX2)
if (sse3_supported && avx2_supported) {
INIT_POINTERS(sse_avx);
} else if (sse3_supported) {
INIT_POINTERS(sse);
} else {
INIT_POINTERS(gen);
}
#elif defined(HAVE_SSE3)
if (sse3_supported) {
INIT_POINTERS(sse);
} else {
INIT_POINTERS(gen);
}
#else
INIT_POINTERS(gen);
#endif
}
/* All-in-one Viterbi decoding */
int osmo_conv_decode_acc(const struct osmo_conv_code *code,
const sbit_t *input, ubit_t *output)
{
int rc;
struct vdecoder dec;
if (!init_complete)
osmo_conv_init();
if ((code->N < 2) || (code->N > 4) || (code->len < 1) ||
((code->K != 5) && (code->K != 7)))
return -EINVAL;
rc = vdec_init(&dec, code);
if (rc)
return rc;
rc = conv_decode(&dec, input, code->puncture,
output, code->len, code->term);
vdec_deinit(&dec);
return rc;
}
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