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      1 /* The guts of the Reed-Solomon encoder, meant to be #included
      2  * into a function body with the following typedefs, macros and variables supplied
      3  * according to the code parameters:
      4 
      5  * data_t - a typedef for the data symbol
      6  * data_t data[] - array of NN-NROOTS-PAD and type data_t to be encoded
      7  * data_t parity[] - an array of NROOTS and type data_t to be written with parity symbols
      8  * NROOTS - the number of roots in the RS code generator polynomial,
      9  *          which is the same as the number of parity symbols in a block.
     10             Integer variable or literal.
     11 	    *
     12  * NN - the total number of symbols in a RS block. Integer variable or literal.
     13  * PAD - the number of pad symbols in a block. Integer variable or literal.
     14  * ALPHA_TO - The address of an array of NN elements to convert Galois field
     15  *            elements in index (log) form to polynomial form. Read only.
     16  * INDEX_OF - The address of an array of NN elements to convert Galois field
     17  *            elements in polynomial form to index (log) form. Read only.
     18  * MODNN - a function to reduce its argument modulo NN. May be inline or a macro.
     19  * GENPOLY - an array of NROOTS+1 elements containing the generator polynomial in index form
     20 
     21  * The memset() and memmove() functions are used. The appropriate header
     22  * file declaring these functions (usually <string.h>) must be included by the calling
     23  * program.
     24 
     25  * Copyright 2004, Phil Karn, KA9Q
     26  * May be used under the terms of the GNU Lesser General Public License (LGPL)
     27  */
     28 
     29 
     30 #undef A0
     31 #define A0 (NN) /* Special reserved value encoding zero in index form */
     32 
     33 {
     34   int i, j;
     35   data_t feedback;
     36 
     37   memset(parity,0,NROOTS*sizeof(data_t));
     38 
     39   for(i=0;i<NN-NROOTS-PAD;i++){
     40     feedback = INDEX_OF[data[i] ^ parity[0]];
     41     if(feedback != A0){      /* feedback term is non-zero */
     42 #ifdef UNNORMALIZED
     43       /* This line is unnecessary when GENPOLY[NROOTS] is unity, as it must
     44        * always be for the polynomials constructed by init_rs()
     45        */
     46       feedback = MODNN(NN - GENPOLY[NROOTS] + feedback);
     47 #endif
     48       for(j=1;j<NROOTS;j++)
     49 	parity[j] ^= ALPHA_TO[MODNN(feedback + GENPOLY[NROOTS-j])];
     50     }
     51     /* Shift */
     52     memmove(&parity[0],&parity[1],sizeof(data_t)*(NROOTS-1));
     53     if(feedback != A0)
     54       parity[NROOTS-1] = ALPHA_TO[MODNN(feedback + GENPOLY[0])];
     55     else
     56       parity[NROOTS-1] = 0;
     57   }
     58 }
     59