diff options
| author | Antonin Descampe <antonin@gmail.com> | 2016-01-25 23:22:06 +0100 |
|---|---|---|
| committer | Antonin Descampe <antonin@gmail.com> | 2016-01-25 23:22:06 +0100 |
| commit | 0febbff19e05cb1a6c2613eee76ad46a669c96cd (patch) | |
| tree | b6442d01348e2ba6404d0fd6abcc4eb6d6cc1390 /src/lib/openjpwl/rs.c | |
| parent | bede1568b197021bb576b935422af6c1d0a79e21 (diff) | |
processed all c/h files through astyle with opj_astyle.cfgcodingstyle
Diffstat (limited to 'src/lib/openjpwl/rs.c')
| -rw-r--r-- | src/lib/openjpwl/rs.c | 673 |
1 files changed, 337 insertions, 336 deletions
diff --git a/src/lib/openjpwl/rs.c b/src/lib/openjpwl/rs.c index a0bd7c71..abc834ea 100644 --- a/src/lib/openjpwl/rs.c +++ b/src/lib/openjpwl/rs.c @@ -1,38 +1,38 @@ - /* - * The copyright in this software is being made available under the 2-clauses - * BSD License, included below. This software may be subject to other third - * party and contributor rights, including patent rights, and no such rights - * are granted under this license. - * - * Copyright (c) 2001-2003, David Janssens - * Copyright (c) 2002-2003, Yannick Verschueren - * Copyright (c) 2003-2005, Francois Devaux and Antonin Descampe - * Copyright (c) 2005, Herve Drolon, FreeImage Team - * Copyright (c) 2002-2005, Communications and remote sensing Laboratory, Universite catholique de Louvain, Belgium - * Copyright (c) 2005-2006, Dept. of Electronic and Information Engineering, Universita' degli Studi di Perugia, Italy - * All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in the - * documentation and/or other materials provided with the distribution. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS `AS IS' - * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE - * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE - * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR - * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF - * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS - * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN - * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE - * POSSIBILITY OF SUCH DAMAGE. - */ +/* +* The copyright in this software is being made available under the 2-clauses +* BSD License, included below. This software may be subject to other third +* party and contributor rights, including patent rights, and no such rights +* are granted under this license. +* +* Copyright (c) 2001-2003, David Janssens +* Copyright (c) 2002-2003, Yannick Verschueren +* Copyright (c) 2003-2005, Francois Devaux and Antonin Descampe +* Copyright (c) 2005, Herve Drolon, FreeImage Team +* Copyright (c) 2002-2005, Communications and remote sensing Laboratory, Universite catholique de Louvain, Belgium +* Copyright (c) 2005-2006, Dept. of Electronic and Information Engineering, Universita' degli Studi di Perugia, Italy +* All rights reserved. +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* 1. Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* 2. Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in the +* documentation and/or other materials provided with the distribution. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS `AS IS' +* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE +* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE +* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE +* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +*/ #ifdef USE_JPWL @@ -45,7 +45,7 @@ /** * Reed-Solomon coding and decoding * Phil Karn (karn@ka9q.ampr.org) September 1996 - * + * * This file is derived from the program "new_rs_erasures.c" by Robert * Morelos-Zaragoza (robert@spectra.eng.hawaii.edu) and Hari Thirumoorthy * (harit@spectra.eng.hawaii.edu), Aug 1995 @@ -174,11 +174,11 @@ gf Gg[NN - 1]; static /*inline*/ gf modnn(int x) { - while (x >= NN) { - x -= NN; - x = (x >> MM) + (x & NN); - } - return x; + while (x >= NN) { + x -= NN; + x = (x >> MM) + (x & NN); + } + return x; } /*#define min(a,b) ((a) < (b) ? (a) : (b))*/ @@ -202,14 +202,14 @@ modnn(int x) void init_rs(int k) { - KK = k; - if (KK >= NN) { - printf("KK must be less than 2**MM - 1\n"); - exit(1); - } - - generate_gf(); - gen_poly(); + KK = k; + if (KK >= NN) { + printf("KK must be less than 2**MM - 1\n"); + exit(1); + } + + generate_gf(); + gen_poly(); } /* generate GF(2**m) from the irreducible polynomial p(X) in p[0]..p[m] @@ -232,7 +232,7 @@ void init_rs(int k) a(0) + a(1) @ + a(2) @^2 + ... + a(m-1) @^(m-1) we consider the integer "i" whose binary representation with a(0) being LSB and a(m-1) MSB is (a(0),a(1),...,a(m-1)) and locate the entry - "index_of[i]". Now, @^index_of[i] is that element whose polynomial + "index_of[i]". Now, @^index_of[i] is that element whose polynomial representation is (a(0),a(1),a(2),...,a(m-1)). NOTE: The element alpha_to[2^m-1] = 0 always signifying that the @@ -240,40 +240,40 @@ void init_rs(int k) Similarly, the element index_of[0] = A0 always signifying that the power of alpha which has the polynomial representation (0,0,...,0) is "infinity". - + */ void generate_gf(void) { - register int i, mask; - - mask = 1; - Alpha_to[MM] = 0; - for (i = 0; i < MM; i++) { - Alpha_to[i] = mask; - Index_of[Alpha_to[i]] = i; - /* If Pp[i] == 1 then, term @^i occurs in poly-repr of @^MM */ - if (Pp[i] != 0) - Alpha_to[MM] ^= mask; /* Bit-wise EXOR operation */ - mask <<= 1; /* single left-shift */ - } - Index_of[Alpha_to[MM]] = MM; - /* - * Have obtained poly-repr of @^MM. Poly-repr of @^(i+1) is given by - * poly-repr of @^i shifted left one-bit and accounting for any @^MM - * term that may occur when poly-repr of @^i is shifted. - */ - mask >>= 1; - for (i = MM + 1; i < NN; i++) { - if (Alpha_to[i - 1] >= mask) - Alpha_to[i] = Alpha_to[MM] ^ ((Alpha_to[i - 1] ^ mask) << 1); - else - Alpha_to[i] = Alpha_to[i - 1] << 1; - Index_of[Alpha_to[i]] = i; - } - Index_of[0] = A0; - Alpha_to[NN] = 0; + register int i, mask; + + mask = 1; + Alpha_to[MM] = 0; + for (i = 0; i < MM; i++) { + Alpha_to[i] = mask; + Index_of[Alpha_to[i]] = i; + /* If Pp[i] == 1 then, term @^i occurs in poly-repr of @^MM */ + if (Pp[i] != 0) + Alpha_to[MM] ^= mask; /* Bit-wise EXOR operation */ + mask <<= 1; /* single left-shift */ + } + Index_of[Alpha_to[MM]] = MM; + /* + * Have obtained poly-repr of @^MM. Poly-repr of @^(i+1) is given by + * poly-repr of @^i shifted left one-bit and accounting for any @^MM + * term that may occur when poly-repr of @^i is shifted. + */ + mask >>= 1; + for (i = MM + 1; i < NN; i++) { + if (Alpha_to[i - 1] >= mask) + Alpha_to[i] = Alpha_to[MM] ^ ((Alpha_to[i - 1] ^ mask) << 1); + else + Alpha_to[i] = Alpha_to[i - 1] << 1; + Index_of[Alpha_to[i]] = i; + } + Index_of[0] = A0; + Alpha_to[NN] = 0; } @@ -293,27 +293,27 @@ generate_gf(void) void gen_poly(void) { - register int i, j; - - Gg[0] = Alpha_to[B0]; - Gg[1] = 1; /* g(x) = (X+@**B0) initially */ - for (i = 2; i <= NN - KK; i++) { - Gg[i] = 1; - /* - * Below multiply (Gg[0]+Gg[1]*x + ... +Gg[i]x^i) by - * (@**(B0+i-1) + x) - */ - for (j = i - 1; j > 0; j--) - if (Gg[j] != 0) - Gg[j] = Gg[j - 1] ^ Alpha_to[modnn((Index_of[Gg[j]]) + B0 + i - 1)]; - else - Gg[j] = Gg[j - 1]; - /* Gg[0] can never be zero */ - Gg[0] = Alpha_to[modnn((Index_of[Gg[0]]) + B0 + i - 1)]; - } - /* convert Gg[] to index form for quicker encoding */ - for (i = 0; i <= NN - KK; i++) - Gg[i] = Index_of[Gg[i]]; + register int i, j; + + Gg[0] = Alpha_to[B0]; + Gg[1] = 1; /* g(x) = (X+@**B0) initially */ + for (i = 2; i <= NN - KK; i++) { + Gg[i] = 1; + /* + * Below multiply (Gg[0]+Gg[1]*x + ... +Gg[i]x^i) by + * (@**(B0+i-1) + x) + */ + for (j = i - 1; j > 0; j--) + if (Gg[j] != 0) + Gg[j] = Gg[j - 1] ^ Alpha_to[modnn((Index_of[Gg[j]]) + B0 + i - 1)]; + else + Gg[j] = Gg[j - 1]; + /* Gg[0] can never be zero */ + Gg[0] = Alpha_to[modnn((Index_of[Gg[0]]) + B0 + i - 1)]; + } + /* convert Gg[] to index form for quicker encoding */ + for (i = 0; i <= NN - KK; i++) + Gg[i] = Index_of[Gg[i]]; } @@ -328,31 +328,32 @@ gen_poly(void) int encode_rs(dtype *data, dtype *bb) { - register int i, j; - gf feedback; + register int i, j; + gf feedback; - CLEAR(bb,NN-KK); - for (i = KK - 1; i >= 0; i--) { + CLEAR(bb,NN-KK); + for (i = KK - 1; i >= 0; i--) { #if (MM != 8) - if(data[i] > NN) - return -1; /* Illegal symbol */ + if(data[i] > NN) + return -1; /* Illegal symbol */ #endif - feedback = Index_of[data[i] ^ bb[NN - KK - 1]]; - if (feedback != A0) { /* feedback term is non-zero */ - for (j = NN - KK - 1; j > 0; j--) - if (Gg[j] != A0) - bb[j] = bb[j - 1] ^ Alpha_to[modnn(Gg[j] + feedback)]; - else - bb[j] = bb[j - 1]; - bb[0] = Alpha_to[modnn(Gg[0] + feedback)]; - } else { /* feedback term is zero. encoder becomes a - * single-byte shifter */ - for (j = NN - KK - 1; j > 0; j--) - bb[j] = bb[j - 1]; - bb[0] = 0; - } - } - return 0; + feedback = Index_of[data[i] ^ bb[NN - KK - 1]]; + if (feedback != A0) { /* feedback term is non-zero */ + for (j = NN - KK - 1; j > 0; j--) + if (Gg[j] != A0) + bb[j] = bb[j - 1] ^ Alpha_to[modnn(Gg[j] + feedback)]; + else + bb[j] = bb[j - 1]; + bb[0] = Alpha_to[modnn(Gg[0] + feedback)]; + } else { + /* feedback term is zero. encoder becomes a + * single-byte shifter */ + for (j = NN - KK - 1; j > 0; j--) + bb[j] = bb[j - 1]; + bb[0] = 0; + } + } + return 0; } /* @@ -361,7 +362,7 @@ encode_rs(dtype *data, dtype *bb) * * Return number of symbols corrected, or -1 if codeword is illegal * or uncorrectable. - * + * * First "no_eras" erasures are declared by the calling program. Then, the * maximum # of errors correctable is t_after_eras = floor((NN-KK-no_eras)/2). * If the number of channel errors is not greater than "t_after_eras" the @@ -371,231 +372,231 @@ encode_rs(dtype *data, dtype *bb) int eras_dec_rs(dtype *data, int *eras_pos, int no_eras) { - int deg_lambda, el, deg_omega; - int i, j, r; - gf u,q,tmp,num1,num2,den,discr_r; - gf recd[NN]; - /* Err+Eras Locator poly and syndrome poly */ - /*gf lambda[NN-KK + 1], s[NN-KK + 1]; - gf b[NN-KK + 1], t[NN-KK + 1], omega[NN-KK + 1]; - gf root[NN-KK], reg[NN-KK + 1], loc[NN-KK];*/ - gf lambda[NN + 1], s[NN + 1]; - gf b[NN + 1], t[NN + 1], omega[NN + 1]; - gf root[NN], reg[NN + 1], loc[NN]; - int syn_error, count; - - /* data[] is in polynomial form, copy and convert to index form */ - for (i = NN-1; i >= 0; i--){ + int deg_lambda, el, deg_omega; + int i, j, r; + gf u,q,tmp,num1,num2,den,discr_r; + gf recd[NN]; + /* Err+Eras Locator poly and syndrome poly */ + /*gf lambda[NN-KK + 1], s[NN-KK + 1]; + gf b[NN-KK + 1], t[NN-KK + 1], omega[NN-KK + 1]; + gf root[NN-KK], reg[NN-KK + 1], loc[NN-KK];*/ + gf lambda[NN + 1], s[NN + 1]; + gf b[NN + 1], t[NN + 1], omega[NN + 1]; + gf root[NN], reg[NN + 1], loc[NN]; + int syn_error, count; + + /* data[] is in polynomial form, copy and convert to index form */ + for (i = NN-1; i >= 0; i--) { #if (MM != 8) - if(data[i] > NN) - return -1; /* Illegal symbol */ + if(data[i] > NN) + return -1; /* Illegal symbol */ #endif - recd[i] = Index_of[data[i]]; - } - /* first form the syndromes; i.e., evaluate recd(x) at roots of g(x) - * namely @**(B0+i), i = 0, ... ,(NN-KK-1) - */ - syn_error = 0; - for (i = 1; i <= NN-KK; i++) { - tmp = 0; - for (j = 0; j < NN; j++) - if (recd[j] != A0) /* recd[j] in index form */ - tmp ^= Alpha_to[modnn(recd[j] + (B0+i-1)*j)]; - syn_error |= tmp; /* set flag if non-zero syndrome => + recd[i] = Index_of[data[i]]; + } + /* first form the syndromes; i.e., evaluate recd(x) at roots of g(x) + * namely @**(B0+i), i = 0, ... ,(NN-KK-1) + */ + syn_error = 0; + for (i = 1; i <= NN-KK; i++) { + tmp = 0; + for (j = 0; j < NN; j++) + if (recd[j] != A0) /* recd[j] in index form */ + tmp ^= Alpha_to[modnn(recd[j] + (B0+i-1)*j)]; + syn_error |= tmp; /* set flag if non-zero syndrome => * error */ - /* store syndrome in index form */ - s[i] = Index_of[tmp]; - } - if (!syn_error) { - /* - * if syndrome is zero, data[] is a codeword and there are no - * errors to correct. So return data[] unmodified - */ - return 0; - } - CLEAR(&lambda[1],NN-KK); - lambda[0] = 1; - if (no_eras > 0) { - /* Init lambda to be the erasure locator polynomial */ - lambda[1] = Alpha_to[eras_pos[0]]; - for (i = 1; i < no_eras; i++) { - u = eras_pos[i]; - for (j = i+1; j > 0; j--) { - tmp = Index_of[lambda[j - 1]]; - if(tmp != A0) - lambda[j] ^= Alpha_to[modnn(u + tmp)]; - } - } + /* store syndrome in index form */ + s[i] = Index_of[tmp]; + } + if (!syn_error) { + /* + * if syndrome is zero, data[] is a codeword and there are no + * errors to correct. So return data[] unmodified + */ + return 0; + } + CLEAR(&lambda[1],NN-KK); + lambda[0] = 1; + if (no_eras > 0) { + /* Init lambda to be the erasure locator polynomial */ + lambda[1] = Alpha_to[eras_pos[0]]; + for (i = 1; i < no_eras; i++) { + u = eras_pos[i]; + for (j = i+1; j > 0; j--) { + tmp = Index_of[lambda[j - 1]]; + if(tmp != A0) + lambda[j] ^= Alpha_to[modnn(u + tmp)]; + } + } #ifdef ERASURE_DEBUG - /* find roots of the erasure location polynomial */ - for(i=1;i<=no_eras;i++) - reg[i] = Index_of[lambda[i]]; - count = 0; - for (i = 1; i <= NN; i++) { - q = 1; - for (j = 1; j <= no_eras; j++) - if (reg[j] != A0) { - reg[j] = modnn(reg[j] + j); - q ^= Alpha_to[reg[j]]; - } - if (!q) { - /* store root and error location - * number indices - */ - root[count] = i; - loc[count] = NN - i; - count++; - } - } - if (count != no_eras) { - printf("\n lambda(x) is WRONG\n"); - return -1; - } + /* find roots of the erasure location polynomial */ + for(i=1; i<=no_eras; i++) + reg[i] = Index_of[lambda[i]]; + count = 0; + for (i = 1; i <= NN; i++) { + q = 1; + for (j = 1; j <= no_eras; j++) + if (reg[j] != A0) { + reg[j] = modnn(reg[j] + j); + q ^= Alpha_to[reg[j]]; + } + if (!q) { + /* store root and error location + * number indices + */ + root[count] = i; + loc[count] = NN - i; + count++; + } + } + if (count != no_eras) { + printf("\n lambda(x) is WRONG\n"); + return -1; + } #ifndef NO_PRINT - printf("\n Erasure positions as determined by roots of Eras Loc Poly:\n"); - for (i = 0; i < count; i++) - printf("%d ", loc[i]); - printf("\n"); + printf("\n Erasure positions as determined by roots of Eras Loc Poly:\n"); + for (i = 0; i < count; i++) + printf("%d ", loc[i]); + printf("\n"); #endif #endif - } - for(i=0;i<NN-KK+1;i++) - b[i] = Index_of[lambda[i]]; - - /* - * Begin Berlekamp-Massey algorithm to determine error+erasure - * locator polynomial - */ - r = no_eras; - el = no_eras; - while (++r <= NN-KK) { /* r is the step number */ - /* Compute discrepancy at the r-th step in poly-form */ - discr_r = 0; - for (i = 0; i < r; i++){ - if ((lambda[i] != 0) && (s[r - i] != A0)) { - discr_r ^= Alpha_to[modnn(Index_of[lambda[i]] + s[r - i])]; - } - } - discr_r = Index_of[discr_r]; /* Index form */ - if (discr_r == A0) { - /* 2 lines below: B(x) <-- x*B(x) */ - COPYDOWN(&b[1],b,NN-KK); - b[0] = A0; - } else { - /* 7 lines below: T(x) <-- lambda(x) - discr_r*x*b(x) */ - t[0] = lambda[0]; - for (i = 0 ; i < NN-KK; i++) { - if(b[i] != A0) - t[i+1] = lambda[i+1] ^ Alpha_to[modnn(discr_r + b[i])]; - else - t[i+1] = lambda[i+1]; - } - if (2 * el <= r + no_eras - 1) { - el = r + no_eras - el; - /* - * 2 lines below: B(x) <-- inv(discr_r) * - * lambda(x) - */ - for (i = 0; i <= NN-KK; i++) - b[i] = (lambda[i] == 0) ? A0 : modnn(Index_of[lambda[i]] - discr_r + NN); - } else { - /* 2 lines below: B(x) <-- x*B(x) */ - COPYDOWN(&b[1],b,NN-KK); - b[0] = A0; - } - COPY(lambda,t,NN-KK+1); - } - } - - /* Convert lambda to index form and compute deg(lambda(x)) */ - deg_lambda = 0; - for(i=0;i<NN-KK+1;i++){ - lambda[i] = Index_of[lambda[i]]; - if(lambda[i] != A0) - deg_lambda = i; - } - /* - * Find roots of the error+erasure locator polynomial. By Chien - * Search - */ - COPY(®[1],&lambda[1],NN-KK); - count = 0; /* Number of roots of lambda(x) */ - for (i = 1; i <= NN; i++) { - q = 1; - for (j = deg_lambda; j > 0; j--) - if (reg[j] != A0) { - reg[j] = modnn(reg[j] + j); - q ^= Alpha_to[reg[j]]; - } - if (!q) { - /* store root (index-form) and error location number */ - root[count] = i; - loc[count] = NN - i; - count++; - } - } + } + for(i=0; i<NN-KK+1; i++) + b[i] = Index_of[lambda[i]]; + + /* + * Begin Berlekamp-Massey algorithm to determine error+erasure + * locator polynomial + */ + r = no_eras; + el = no_eras; + while (++r <= NN-KK) { /* r is the step number */ + /* Compute discrepancy at the r-th step in poly-form */ + discr_r = 0; + for (i = 0; i < r; i++) { + if ((lambda[i] != 0) && (s[r - i] != A0)) { + discr_r ^= Alpha_to[modnn(Index_of[lambda[i]] + s[r - i])]; + } + } + discr_r = Index_of[discr_r]; /* Index form */ + if (discr_r == A0) { + /* 2 lines below: B(x) <-- x*B(x) */ + COPYDOWN(&b[1],b,NN-KK); + b[0] = A0; + } else { + /* 7 lines below: T(x) <-- lambda(x) - discr_r*x*b(x) */ + t[0] = lambda[0]; + for (i = 0 ; i < NN-KK; i++) { + if(b[i] != A0) + t[i+1] = lambda[i+1] ^ Alpha_to[modnn(discr_r + b[i])]; + else + t[i+1] = lambda[i+1]; + } + if (2 * el <= r + no_eras - 1) { + el = r + no_eras - el; + /* + * 2 lines below: B(x) <-- inv(discr_r) * + * lambda(x) + */ + for (i = 0; i <= NN-KK; i++) + b[i] = (lambda[i] == 0) ? A0 : modnn(Index_of[lambda[i]] - discr_r + NN); + } else { + /* 2 lines below: B(x) <-- x*B(x) */ + COPYDOWN(&b[1],b,NN-KK); + b[0] = A0; + } + COPY(lambda,t,NN-KK+1); + } + } + + /* Convert lambda to index form and compute deg(lambda(x)) */ + deg_lambda = 0; + for(i=0; i<NN-KK+1; i++) { + lambda[i] = Index_of[lambda[i]]; + if(lambda[i] != A0) + deg_lambda = i; + } + /* + * Find roots of the error+erasure locator polynomial. By Chien + * Search + */ + COPY(®[1],&lambda[1],NN-KK); + count = 0; /* Number of roots of lambda(x) */ + for (i = 1; i <= NN; i++) { + q = 1; + for (j = deg_lambda; j > 0; j--) + if (reg[j] != A0) { + reg[j] = modnn(reg[j] + j); + q ^= Alpha_to[reg[j]]; + } + if (!q) { + /* store root (index-form) and error location number */ + root[count] = i; + loc[count] = NN - i; + count++; + } + } #ifdef DEBUG - printf("\n Final error positions:\t"); - for (i = 0; i < count; i++) - printf("%d ", loc[i]); - printf("\n"); + printf("\n Final error positions:\t"); + for (i = 0; i < count; i++) + printf("%d ", loc[i]); + printf("\n"); #endif - if (deg_lambda != count) { - /* - * deg(lambda) unequal to number of roots => uncorrectable - * error detected - */ - return -1; - } - /* - * Compute err+eras evaluator poly omega(x) = s(x)*lambda(x) (modulo - * x**(NN-KK)). in index form. Also find deg(omega). - */ - deg_omega = 0; - for (i = 0; i < NN-KK;i++){ - tmp = 0; - j = (deg_lambda < i) ? deg_lambda : i; - for(;j >= 0; j--){ - if ((s[i + 1 - j] != A0) && (lambda[j] != A0)) - tmp ^= Alpha_to[modnn(s[i + 1 - j] + lambda[j])]; - } - if(tmp != 0) - deg_omega = i; - omega[i] = Index_of[tmp]; - } - omega[NN-KK] = A0; - - /* - * Compute error values in poly-form. num1 = omega(inv(X(l))), num2 = - * inv(X(l))**(B0-1) and den = lambda_pr(inv(X(l))) all in poly-form - */ - for (j = count-1; j >=0; j--) { - num1 = 0; - for (i = deg_omega; i >= 0; i--) { - if (omega[i] != A0) - num1 ^= Alpha_to[modnn(omega[i] + i * root[j])]; - } - num2 = Alpha_to[modnn(root[j] * (B0 - 1) + NN)]; - den = 0; - - /* lambda[i+1] for i even is the formal derivative lambda_pr of lambda[i] */ - for (i = min(deg_lambda,NN-KK-1) & ~1; i >= 0; i -=2) { - if(lambda[i+1] != A0) - den ^= Alpha_to[modnn(lambda[i+1] + i * root[j])]; - } - if (den == 0) { + if (deg_lambda != count) { + /* + * deg(lambda) unequal to number of roots => uncorrectable + * error detected + */ + return -1; + } + /* + * Compute err+eras evaluator poly omega(x) = s(x)*lambda(x) (modulo + * x**(NN-KK)). in index form. Also find deg(omega). + */ + deg_omega = 0; + for (i = 0; i < NN-KK; i++) { + tmp = 0; + j = (deg_lambda < i) ? deg_lambda : i; + for(; j >= 0; j--) { + if ((s[i + 1 - j] != A0) && (lambda[j] != A0)) + tmp ^= Alpha_to[modnn(s[i + 1 - j] + lambda[j])]; + } + if(tmp != 0) + deg_omega = i; + omega[i] = Index_of[tmp]; + } + omega[NN-KK] = A0; + + /* + * Compute error values in poly-form. num1 = omega(inv(X(l))), num2 = + * inv(X(l))**(B0-1) and den = lambda_pr(inv(X(l))) all in poly-form + */ + for (j = count-1; j >=0; j--) { + num1 = 0; + for (i = deg_omega; i >= 0; i--) { + if (omega[i] != A0) + num1 ^= Alpha_to[modnn(omega[i] + i * root[j])]; + } + num2 = Alpha_to[modnn(root[j] * (B0 - 1) + NN)]; + den = 0; + + /* lambda[i+1] for i even is the formal derivative lambda_pr of lambda[i] */ + for (i = min(deg_lambda,NN-KK-1) & ~1; i >= 0; i -=2) { + if(lambda[i+1] != A0) + den ^= Alpha_to[modnn(lambda[i+1] + i * root[j])]; + } + if (den == 0) { #ifdef DEBUG - printf("\n ERROR: denominator = 0\n"); + printf("\n ERROR: denominator = 0\n"); #endif - return -1; - } - /* Apply error to data */ - if (num1 != 0) { - data[loc[j]] ^= Alpha_to[modnn(Index_of[num1] + Index_of[num2] + NN - Index_of[den])]; - } - } - return count; + return -1; + } + /* Apply error to data */ + if (num1 != 0) { + data[loc[j]] ^= Alpha_to[modnn(Index_of[num1] + Index_of[num2] + NN - Index_of[den])]; + } + } + return count; } |
