Source code of Windows XP (NT5)
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/* This program generates several tables used in the FEC algorithms
(this saves a little code space and time over generating them at
runtime)
*/
#include <stdio.h>
#include <stdlib.h>
#define EXTERN
#include "tabdecls.h"
/* Generate a table of 2^i for 0<=i<=511 (where multiplications are
done in the Galois field) */
void generate_galois_exp() {
int i;
int current = 1;
for (i = 0; i < 512; i++) {
galois_exp[i] = current;
current <<= 1;
if (current & 0x100) {
current ^= 0x11d;
}
}
for (i = 512; i <= 1024; i++) {
galois_exp[i] = 0;
}
}
/* Generate a table of log_2(i) for 1<=i<=255
for 1<=i<=255: galois_exp[galois_log[i]] = i
for 0<=i<=254: galois_log[galois_exp[i]] = i
for 1<=a,b<=255: galois_exp[galois_log[a]+galois_log[b]]
is the galois field product of a and b
*/
void generate_galois_log() {
int i;
/* We can't take the log of 0; let's give it a value which is not legal
in this log table. (This out-of-range value will push galois_exp
into the region of the table containing 0's.) */
galois_log[0] = 512;
for (i = 0; i <= 254; i++) {
galois_log[galois_exp[i]] = i;
}
}
/* We can save an array lookup in some inner loops by keeping
the logarithm of the Norpak coefficients */
void generate_lcoeffs() {
int i, j;
for (i = 0; i < 2; i++) {
for (j = 0; j < 26; j++) {
log_norpak_coeffs[i][j] = galois_log[norpak_coeffs[i][j]];
}
}
}
/* This is computing the function P() from my FEC document; it is
used for locating single-byte FEC errors */
void generate_norpak_delta_inv() {
int i;
for (i = 0; i < 256; i++) {
norpak_delta_inv[i] = 255;
}
for (i = 0; i < 26; i++) {
norpak_delta_inv[(log_norpak_coeffs[0][i] + 255 - log_norpak_coeffs[1][i])%255] = i;
}
}
/* For each byte, figure out what hamming value this byte should decode
to (if multiple values are equally close, use an error value of 0xff) */
void generate_decode_hamming() {
int val;
for (val = 0; val < 256; val++) {
int b1 = !!(val&1);
int b2 = !!(val&2);
int b3 = !!(val&4);
int b4 = !!(val&8);
int b5 = !!(val&16);
int b6 = !!(val&32);
int b7 = !!(val&64);
int b8 = !!(val&128);
int a = b8^b6^b2^b1;
int b = b8^b4^b3^b2;
int c = b6^b5^b4^b2;
int d = b8^b7^b6^b5^b4^b3^b2^b1;
if (a == 1 && b == 1 && c == 1 && d == 1) {
decode_hamming_tab[val] = (b8<<3 | b6<<2 | b4<<1 | b2);
} else if (d == 1) {
/* multiple errors */
decode_hamming_tab[val] = 0xff;
} else {
switch (a << 2 | b << 1 | c) {
case 1:
b8 ^= 1;
break;
case 7:
b7 ^= 1;
break;
case 2:
b6 ^= 1;
break;
case 6:
b5 ^= 1;
break;
case 4:
b4 ^= 1;
break;
case 5:
b3 ^= 1;
break;
case 0:
b2 ^= 1;
break;
case 3:
b1 ^= 1;
break;
}
decode_hamming_tab[val] = (b8<<3 | b6<<2 | b4<<1 | b2);
}
}
}
void print_char_table_body(FILE *out, unsigned char *table, int len) {
int i;
fprintf(out, "{\n");
for (i = 0; i < len; i++) {
fprintf(out, " 0x%02x,\n", table[i]);
}
fprintf(out, "}");
}
void print_char_table(FILE *out, const char *name,
unsigned char *table, int len) {
fprintf(out, "unsigned char %s[%d] = ", name, len);
print_char_table_body(out, table, len);
fprintf(out, ";\n\n");
}
void print_short_table_body(FILE *out, unsigned short *table, int len) {
int i;
fprintf(out, "{\n");
for (i = 0; i < len; i++) {
fprintf(out, " 0x%04x,\n", table[i]);
}
fprintf(out, "}");
}
void print_short_table(FILE *out, const char *name,
unsigned short *table, int len) {
fprintf(out, "unsigned short %s[%d] = ", name, len);
print_short_table_body(out, table, len);
fprintf(out, ";\n\n");
}
void print_tables() {
FILE *out;
int i;
out = fopen("tables.c", "w");
if (!out) {
fprintf(stderr, "Failed to open 'tables.c'\n");
exit(1);
}
fprintf(out, "\
/* Warning: This code was automatically generated (by gentabs.c).\n\
DO NOT EDIT! */\n\
#include \"tabdecls.h\"\n\
\n");
print_char_table(out, "galois_exp", galois_exp, 1025);
print_short_table(out, "galois_log", galois_log, 256);
print_char_table(out, "norpak_delta_inv", norpak_delta_inv, 256);
print_char_table(out, "decode_hamming_tab", decode_hamming_tab, 256);
fprintf(out, "\
unsigned char log_norpak_coeffs[2][26] = {\n");
for (i = 0; i < 2; i++) {
print_char_table_body(out, log_norpak_coeffs[i], 26);
fprintf(out, ",\n");
}
fprintf(out, "};\n\n");
}
int main(int argc, char **argv) {
generate_galois_exp();
generate_galois_log();
generate_lcoeffs();
generate_norpak_delta_inv();
generate_decode_hamming();
print_tables();
return 0;
}