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      1 /* K=15 r=1/6 Viterbi decoder for x86 SSE2
      2  * Copyright Mar 2004, Phil Karn, KA9Q
      3  * May be used under the terms of the GNU Lesser General Public License (LGPL)
      4  */
      5 #include <emmintrin.h>
      6 #include <stdio.h>
      7 #include <stdlib.h>
      8 #include <memory.h>
      9 #include <limits.h>
     10 #include "fec.h"
     11 
     12 typedef union { unsigned long w[8]; unsigned short s[16];} decision_t;
     13 typedef union { signed short s[256]; __m128i v[32];} metric_t;
     14 
     15 static union branchtab39 { unsigned short s[128]; __m128i v[16];} Branchtab39[3];
     16 static int Init = 0;
     17 
     18 /* State info for instance of Viterbi decoder */
     19 struct v39 {
     20   metric_t metrics1; /* path metric buffer 1 */
     21   metric_t metrics2; /* path metric buffer 2 */
     22   void *dp;          /* Pointer to current decision */
     23   metric_t *old_metrics,*new_metrics; /* Pointers to path metrics, swapped on every bit */
     24   void *decisions;   /* Beginning of decisions for block */
     25 };
     26 
     27 /* Initialize Viterbi decoder for start of new frame */
     28 int init_viterbi39_sse2(void *p,int starting_state){
     29   struct v39 *vp = p;
     30   int i;
     31 
     32   for(i=0;i<256;i++)
     33     vp->metrics1.s[i] = (SHRT_MIN+1000);
     34 
     35   vp->old_metrics = &vp->metrics1;
     36   vp->new_metrics = &vp->metrics2;
     37   vp->dp = vp->decisions;
     38   vp->old_metrics->s[starting_state & 255] = SHRT_MIN; /* Bias known start state */
     39   return 0;
     40 }
     41 
     42 /* Create a new instance of a Viterbi decoder */
     43 void *create_viterbi39_sse2(int len){
     44   void *p;
     45   struct v39 *vp;
     46 
     47   if(!Init){
     48     int polys[3] = { V39POLYA, V39POLYB, V39POLYC };
     49 
     50     set_viterbi39_polynomial_sse2(polys);
     51   }
     52   /* Ordinary malloc() only returns 8-byte alignment, we need 16 */
     53   if(posix_memalign(&p, sizeof(__m128i),sizeof(struct v39)))
     54     return NULL;
     55 
     56   vp = (struct v39 *)p;
     57   if((p = malloc((len+8)*sizeof(decision_t))) == NULL){
     58     free(vp);
     59     return NULL;
     60   }
     61   vp->decisions = (decision_t *)p;
     62   init_viterbi39_sse2(vp,0);
     63   return vp;
     64 }
     65 
     66 void set_viterbi39_polynomial_sse2(int polys[3]){
     67   int state;
     68 
     69   for(state=0;state < 128;state++){
     70     Branchtab39[0].s[state] = (polys[0] < 0) ^ parity((2*state) & polys[0]) ? 255:0;
     71     Branchtab39[1].s[state] = (polys[1] < 0) ^ parity((2*state) & polys[1]) ? 255:0;
     72     Branchtab39[2].s[state] = (polys[2] < 0) ^ parity((2*state) & polys[2]) ? 255:0;
     73   }
     74   Init++;
     75 }
     76 
     77 /* Viterbi chainback */
     78 int chainback_viterbi39_sse2(
     79       void *p,
     80       unsigned char *data, /* Decoded output data */
     81       unsigned int nbits, /* Number of data bits */
     82       unsigned int endstate){ /* Terminal encoder state */
     83   struct v39 *vp = p;
     84   decision_t *d = (decision_t *)vp->decisions;
     85   int path_metric;
     86 
     87   endstate %= 256;
     88 
     89   path_metric = vp->old_metrics->s[endstate];
     90 
     91   /* The store into data[] only needs to be done every 8 bits.
     92    * But this avoids a conditional branch, and the writes will
     93    * combine in the cache anyway
     94    */
     95   d += 8; /* Look past tail */
     96   while(nbits-- != 0){
     97     int k;
     98 
     99     k = (d[nbits].w[endstate/32] >> (endstate%32)) & 1;
    100     endstate = (k << 7) | (endstate >> 1);
    101     data[nbits>>3] = endstate;
    102   }
    103   return path_metric;
    104 }
    105 
    106 /* Delete instance of a Viterbi decoder */
    107 void delete_viterbi39_sse2(void *p){
    108   struct v39 *vp = p;
    109 
    110   if(vp != NULL){
    111     free(vp->decisions);
    112     free(vp);
    113   }
    114 }
    115 
    116 
    117 int update_viterbi39_blk_sse2(void *p,unsigned char *syms,int nbits){
    118   struct v39 *vp = p;
    119   decision_t *d = (decision_t *)vp->dp;
    120   int path_metric = 0;
    121 
    122   while(nbits--){
    123     __m128i sym0v,sym1v,sym2v;
    124     void *tmp;
    125     int i;
    126 
    127     /* Splat the 0th symbol across sym0v, the 1st symbol across sym1v, etc */
    128     sym0v = _mm_set1_epi16(syms[0]);
    129     sym1v = _mm_set1_epi16(syms[1]);
    130     sym2v = _mm_set1_epi16(syms[2]);
    131     syms += 3;
    132 
    133     /* SSE2 doesn't support saturated adds on unsigned shorts, so we have to use signed shorts */
    134     for(i=0;i<16;i++){
    135       __m128i decision0,decision1,metric,m_metric,m0,m1,m2,m3,survivor0,survivor1;
    136 
    137       /* Form branch metrics
    138        * Because Branchtab takes on values 0 and 255, and the values of sym?v are offset binary in the range 0-255,
    139        * the XOR operations constitute conditional negation.
    140        * metric and m_metric (-metric) are in the range 0-765
    141        */
    142       m0 = _mm_add_epi16(_mm_xor_si128(Branchtab39[0].v[i],sym0v),_mm_xor_si128(Branchtab39[1].v[i],sym1v));
    143       metric = _mm_add_epi16(_mm_xor_si128(Branchtab39[2].v[i],sym2v),m0);
    144       m_metric = _mm_sub_epi16(_mm_set1_epi16(765),metric);
    145 
    146       /* Add branch metrics to path metrics */
    147       m0 = _mm_adds_epi16(vp->old_metrics->v[i],metric);
    148       m3 = _mm_adds_epi16(vp->old_metrics->v[16+i],metric);
    149       m1 = _mm_adds_epi16(vp->old_metrics->v[16+i],m_metric);
    150       m2 = _mm_adds_epi16(vp->old_metrics->v[i],m_metric);
    151 
    152       /* Compare and select */
    153       survivor0 = _mm_min_epi16(m0,m1);
    154       survivor1 = _mm_min_epi16(m2,m3);
    155       decision0 = _mm_cmpeq_epi16(survivor0,m1);
    156       decision1 = _mm_cmpeq_epi16(survivor1,m3);
    157 
    158       /* Pack each set of decisions into 8 8-bit bytes, then interleave them and compress into 16 bits */
    159       d->s[i] = _mm_movemask_epi8(_mm_unpacklo_epi8(_mm_packs_epi16(decision0,_mm_setzero_si128()),_mm_packs_epi16(decision1,_mm_setzero_si128())));
    160 
    161       /* Store surviving metrics */
    162       vp->new_metrics->v[2*i] = _mm_unpacklo_epi16(survivor0,survivor1);
    163       vp->new_metrics->v[2*i+1] = _mm_unpackhi_epi16(survivor0,survivor1);
    164     }
    165     /* See if we need to renormalize */
    166     if(vp->new_metrics->s[0] >= SHRT_MAX-5000){
    167       int i,adjust;
    168       __m128i adjustv;
    169       union { __m128i v; signed short w[8]; } t;
    170 
    171       /* Find smallest metric and set adjustv to bring it down to SHRT_MIN */
    172       adjustv = vp->new_metrics->v[0];
    173       for(i=1;i<32;i++)
    174 	adjustv = _mm_min_epi16(adjustv,vp->new_metrics->v[i]);
    175 
    176       adjustv = _mm_min_epi16(adjustv,_mm_srli_si128(adjustv,8));
    177       adjustv = _mm_min_epi16(adjustv,_mm_srli_si128(adjustv,4));
    178       adjustv = _mm_min_epi16(adjustv,_mm_srli_si128(adjustv,2));
    179       t.v = adjustv;
    180       adjust = t.w[0] - SHRT_MIN;
    181       path_metric += adjust;
    182       adjustv = _mm_set1_epi16(adjust);
    183 
    184       /* We cannot use a saturated subtract, because we often have to adjust by more than SHRT_MAX
    185        * This is okay since it can't overflow anyway
    186        */
    187       for(i=0;i<32;i++)
    188 	vp->new_metrics->v[i] = _mm_sub_epi16(vp->new_metrics->v[i],adjustv);
    189     }
    190     d++;
    191     /* Swap pointers to old and new metrics */
    192     tmp = vp->old_metrics;
    193     vp->old_metrics = vp->new_metrics;
    194     vp->new_metrics = tmp;
    195   }
    196   vp->dp = d;
    197   return path_metric;
    198 }
    199 
    200 
    201