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      1 /* K=9 r=1/3 Viterbi decoder for x86 SSE
      2  * Copyright Aug 2006, Phil Karn, KA9Q
      3  * May be used under the terms of the GNU Lesser General Public License (LGPL)
      4  */
      5 #include <xmmintrin.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 char c[32];} decision_t;
     13 typedef union { signed short s[256]; __m64 v[64];} metric_t;
     14 
     15 static union branchtab39 { unsigned short s[128]; __m64 v[32];} 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_sse(void *p,int starting_state){
     29   struct v39 *vp = p;
     30   int i;
     31 
     32   if(p == NULL)
     33     return -1;
     34   for(i=0;i<256;i++)
     35     vp->metrics1.s[i] = (SHRT_MIN+1000);
     36 
     37   vp->old_metrics = &vp->metrics1;
     38   vp->new_metrics = &vp->metrics2;
     39   vp->dp = vp->decisions;
     40   vp->old_metrics->s[starting_state & 255] = SHRT_MIN; /* Bias known start state */
     41   return 0;
     42 }
     43 
     44 /* Create a new instance of a Viterbi decoder */
     45 void *create_viterbi39_sse(int len){
     46   struct v39 *vp;
     47 
     48   if(!Init){
     49     int polys[3] = { V39POLYA, V39POLYB, V39POLYC };
     50 
     51     set_viterbi39_polynomial_sse(polys);
     52   }
     53   if((vp = (struct v39 *)malloc(sizeof(struct v39))) == NULL){
     54     return NULL;
     55   }
     56   if((vp->decisions = malloc((len+8)*sizeof(decision_t))) == NULL){
     57     free(vp);
     58     return NULL;
     59   }
     60   init_viterbi39_sse(vp,0);
     61   return vp;
     62 }
     63 
     64 void set_viterbi39_polynomial_sse(int polys[3]){
     65   int state;
     66 
     67   for(state=0;state < 128;state++){
     68     Branchtab39[0].s[state] = (polys[0] < 0) ^ parity((2*state) & polys[0]) ? 255:0;
     69     Branchtab39[1].s[state] = (polys[1] < 0) ^ parity((2*state) & polys[1]) ? 255:0;
     70     Branchtab39[2].s[state] = (polys[2] < 0) ^ parity((2*state) & polys[2]) ? 255:0;
     71   }
     72   Init++;
     73 }
     74 
     75 /* Viterbi chainback */
     76 int chainback_viterbi39_sse(
     77       void *p,
     78       unsigned char *data, /* Decoded output data */
     79       unsigned int nbits, /* Number of data bits */
     80       unsigned int endstate){ /* Terminal encoder state */
     81   struct v39 *vp = p;
     82   decision_t *d;
     83   int path_metric;
     84 
     85   if(p == NULL)
     86     return -1;
     87   d = (decision_t *)vp->decisions;
     88   endstate %= 256;
     89 
     90   path_metric = vp->old_metrics->s[endstate];
     91 
     92   /* The store into data[] only needs to be done every 8 bits.
     93    * But this avoids a conditional branch, and the writes will
     94    * combine in the cache anyway
     95    */
     96   d += 8; /* Look past tail */
     97   while(nbits-- != 0){
     98     int k;
     99 
    100     /*    k = (d[nbits].w[endstate/32] >> (endstate%32)) & 1;*/
    101     k = (d[nbits].c[endstate/8] >> (endstate%8)) & 1;
    102     endstate = (k << 7) | (endstate >> 1);
    103     data[nbits>>3] = endstate;
    104   }
    105   return path_metric - SHRT_MIN;
    106 }
    107 
    108 /* Delete instance of a Viterbi decoder */
    109 void delete_viterbi39_sse(void *p){
    110   struct v39 *vp = p;
    111 
    112   if(vp != NULL){
    113     free(vp->decisions);
    114     free(vp);
    115   }
    116 }
    117 
    118 
    119 int update_viterbi39_blk_sse(void *p,unsigned char *syms,int nbits){
    120   struct v39 *vp = p;
    121   decision_t *d;
    122   int path_metric = 0;
    123 
    124   if(p == NULL)
    125     return -1;
    126   d = (decision_t *)vp->dp;
    127   while(nbits--){
    128     __m64 sym0v,sym1v,sym2v;
    129     void *tmp;
    130     int i;
    131 
    132     /* Splat the 0th symbol across sym0v, the 1st symbol across sym1v, etc */
    133     sym0v = _mm_set1_pi16(syms[0]);
    134     sym1v = _mm_set1_pi16(syms[1]);
    135     sym2v = _mm_set1_pi16(syms[2]);
    136     syms += 3;
    137 
    138     for(i=0;i<32;i++){
    139       __m64 decision0,decision1,metric,m_metric,m0,m1,m2,m3,survivor0,survivor1;
    140 
    141       /* Form branch metrics
    142        * Because Branchtab takes on values 0 and 255, and the values of sym?v are offset binary in the range 0-255,
    143        * the XOR operations constitute conditional negation.
    144        * metric and m_metric (-metric) are in the range 0-765
    145        */
    146       m0 = _mm_add_pi16(_mm_xor_si64(Branchtab39[0].v[i],sym0v),_mm_xor_si64(Branchtab39[1].v[i],sym1v));
    147       metric = _mm_add_pi16(_mm_xor_si64(Branchtab39[2].v[i],sym2v),m0);
    148       m_metric = _mm_sub_pi16(_mm_set1_pi16(765),metric);
    149 
    150       /* Add branch metrics to path metrics */
    151       m0 = _mm_adds_pi16(vp->old_metrics->v[i],metric);
    152       m3 = _mm_adds_pi16(vp->old_metrics->v[32+i],metric);
    153       m1 = _mm_adds_pi16(vp->old_metrics->v[32+i],m_metric);
    154       m2 = _mm_adds_pi16(vp->old_metrics->v[i],m_metric);
    155 
    156       /* Compare and select */
    157       survivor0 = _mm_min_pi16(m0,m1);
    158       survivor1 = _mm_min_pi16(m2,m3);
    159       decision0 = _mm_cmpeq_pi16(survivor0,m1);
    160       decision1 = _mm_cmpeq_pi16(survivor1,m3);
    161 
    162       /* Pack decisions into 8 bits and store */
    163       d->c[i] = _mm_movemask_pi8(_mm_unpacklo_pi8(_mm_packs_pi16(decision0,_mm_setzero_si64()),_mm_packs_pi16(decision1,_mm_setzero_si64())));
    164 
    165       /* Store surviving metrics */
    166       vp->new_metrics->v[2*i] = _mm_unpacklo_pi16(survivor0,survivor1);
    167       vp->new_metrics->v[2*i+1] = _mm_unpackhi_pi16(survivor0,survivor1);
    168     }
    169     /* See if we need to renormalize
    170      * Max metric spread for this code with 0-255 branch metrics is 12750
    171      */
    172     if(vp->new_metrics->s[0] >= SHRT_MAX-5000){
    173       int i,adjust;
    174       __m64 adjustv;
    175       union { __m64 v; signed short w[4]; } t;
    176 
    177       /* Find smallest metric and set adjustv to bring it down to SHRT_MIN */
    178       adjustv = vp->new_metrics->v[0];
    179       for(i=1;i<64;i++)
    180 	adjustv = _mm_min_pi16(adjustv,vp->new_metrics->v[i]);
    181 
    182       adjustv = _mm_min_pi16(adjustv,_mm_srli_si64(adjustv,32));
    183       adjustv = _mm_min_pi16(adjustv,_mm_srli_si64(adjustv,16));
    184       t.v = adjustv;
    185       adjust = t.w[0] - SHRT_MIN;
    186       path_metric += adjust;
    187       adjustv = _mm_set1_pi16(adjust);
    188 
    189       for(i=0;i<64;i++)
    190 	vp->new_metrics->v[i] = _mm_sub_pi16(vp->new_metrics->v[i],adjustv);
    191     }
    192     d++;
    193     /* Swap pointers to old and new metrics */
    194     tmp = vp->old_metrics;
    195     vp->old_metrics = vp->new_metrics;
    196     vp->new_metrics = tmp;
    197   }
    198   vp->dp = d;
    199   _mm_empty();
    200   return path_metric;
    201 }
    202