hook Reed-Solomon into startup.S

This commit is contained in:
Vladimir 'phcoder' Serbinenko 2010-09-25 19:33:05 +02:00
parent 4f0de6881c
commit 419cbeb06d
5 changed files with 209 additions and 144 deletions

View file

@ -244,7 +244,7 @@ program = {
common = util/grub-setup.c; common = util/grub-setup.c;
common = util/raid.c; common = util/raid.c;
common = util/lvm.c; common = util/lvm.c;
common = util/reed_solomon.c; common = grub-core/lib/reed_solomon.c;
sparc64_ieee1275 = util/ieee1275/ofpath.c; sparc64_ieee1275 = util/ieee1275/ofpath.c;

View file

@ -48,6 +48,10 @@ CLEANFILES += grub_script.tab.c grub_script.tab.h
grub_script.yy.h: script/yylex.l grub_script.yy.h: script/yylex.l
$(LEX) -o grub_script.yy.c --header-file=grub_script.yy.h $< $(LEX) -o grub_script.yy.c --header-file=grub_script.yy.h $<
grub_script.yy.c: grub_script.yy.h grub_script.yy.c: grub_script.yy.h
rs_decoder.S: $(srcdir)/lib/reed_solomon.c
$(TARGET_CC) $(TARGET_CPPFLAGS) $(TARGET_CFLAGS) -I$(top_builddir) -S -DSTANDALONE -o $@ $<
CLEANFILES += grub_script.yy.c grub_script.yy.h CLEANFILES += grub_script.yy.c grub_script.yy.h
include $(srcdir)/Makefile.core.am include $(srcdir)/Makefile.core.am

View file

@ -206,6 +206,22 @@ LOCAL (codestart):
incl %eax incl %eax
call grub_gate_a20 call grub_gate_a20
movl EXT_C(grub_kernel_image_size), %eax
addl EXT_C(grub_total_module_size), %eax
movl reed_solomon_redundancy, %ecx
leal _start + GRUB_KERNEL_I386_PC_NO_REED_SOLOMON_PART, %edx
testl %eax, %eax
jz post_reed_solomon
call EXT_C (grub_reed_solomon_recover)
jmp post_reed_solomon
#include "/home/phcoder/compile/grub-core/rs_decoder.S"
.text
. = _start + GRUB_KERNEL_I386_PC_NO_REED_SOLOMON_PART
post_reed_solomon:
#ifdef ENABLE_LZMA #ifdef ENABLE_LZMA
movl $GRUB_MEMORY_MACHINE_DECOMPRESSION_ADDR, %edi movl $GRUB_MEMORY_MACHINE_DECOMPRESSION_ADDR, %edi
movl $(_start + GRUB_KERNEL_MACHINE_RAW_SIZE), %esi movl $(_start + GRUB_KERNEL_MACHINE_RAW_SIZE), %esi

View file

@ -18,25 +18,48 @@
#ifdef TEST #ifdef TEST
#include <stdio.h> #include <stdio.h>
#define xmalloc malloc
#define grub_memset memset
#define grub_memcpy memcpy
#endif
#ifndef STANDALONE
#ifdef TEST
#include <string.h> #include <string.h>
#include <stdlib.h> #include <stdlib.h>
typedef unsigned int grub_size_t; typedef unsigned int grub_size_t;
typedef unsigned char grub_uint8_t; typedef unsigned char grub_uint8_t;
typedef unsigned short grub_uint16_t; typedef unsigned short grub_uint16_t;
#define xmalloc malloc
#define grub_memset memset
#define grub_memcpy memcpy
#else #else
#include <grub/types.h> #include <grub/types.h>
#include <grub/reed_solomon.h> #include <grub/reed_solomon.h>
#include <grub/util/misc.h> #include <grub/util/misc.h>
#include <grub/misc.h> #include <grub/misc.h>
#endif #endif
#endif
#ifdef STANDALONE
#ifdef TEST
typedef unsigned int grub_size_t;
typedef unsigned char grub_uint8_t;
typedef unsigned short grub_uint16_t;
#else
#include <grub/types.h>
#endif
void
grub_reed_solomon_recover (void *ptr_, grub_size_t s, grub_size_t rs);
#endif
#define GF_SIZE 8 #define GF_SIZE 8
typedef grub_uint8_t gf_single_t; typedef grub_uint8_t gf_single_t;
typedef grub_uint16_t gf_double_t; typedef grub_uint16_t gf_double_t;
const gf_single_t gf_polynomial = 0x1d; #define GF_POLYNOMIAL 0x1d
#define GF_INVERT2 0x8e
#ifdef STANDALONE
static char *scratch __attribute__ ((section(".text"))) = (void *) 0x100000;
#else
static char *scratch;
#endif
#define SECTOR_SIZE 512 #define SECTOR_SIZE 512
#define MAX_BLOCK_SIZE (200 * SECTOR_SIZE) #define MAX_BLOCK_SIZE (200 * SECTOR_SIZE)
@ -47,7 +70,7 @@ gf_reduce (gf_double_t a)
int i; int i;
for (i = GF_SIZE - 1; i >= 0; i--) for (i = GF_SIZE - 1; i >= 0; i--)
if (a & (1ULL << (i + GF_SIZE))) if (a & (1ULL << (i + GF_SIZE)))
a ^= (((gf_double_t) gf_polynomial) << i); a ^= (((gf_double_t) GF_POLYNOMIAL) << i);
return a & ((1ULL << GF_SIZE) - 1); return a & ((1ULL << GF_SIZE) - 1);
} }
@ -62,50 +85,19 @@ gf_mul (gf_single_t a, gf_single_t b)
return gf_reduce (res); return gf_reduce (res);
} }
static int static grub_uint8_t gf_invert[256];
bin_log2 (gf_double_t a)
static void
init_inverts (void)
{ {
int i = 0; gf_single_t a = 1, ai = 1;
while (a) do
{ {
a >>= 1; a = gf_mul (a, 2);
i++; ai = gf_mul (ai, GF_INVERT2);
gf_invert[a] = ai;
} }
return i - 1; while (a != 1);
}
static gf_single_t
gf_invert (gf_single_t a)
{
/* We start with: */
/* 1 * a + 0 * p = a */
/* 0 * a + 1 * p = p */
gf_double_t x1 = 1, y1 = 0, z1 = a, x2 = 0, y2 = 1;
gf_double_t z2 = gf_polynomial | (1ULL << GF_SIZE), t;
/* invariant: z1 < z2*/
while (z1 != 0)
{
int k;
k = bin_log2 (z2) - bin_log2 (z1);
x2 ^= (x1 << k);
y2 ^= (y1 << k);
z2 ^= (z1 << k);
if (z1 >= z2)
{
t = x2;
x2 = x1;
x1 = t;
t = y2;
y2 = y1;
y1 = t;
t = z2;
z2 = z1;
z1 = t;
}
}
return gf_reduce (x2);
} }
static gf_single_t static gf_single_t
@ -121,6 +113,7 @@ pol_evaluate (gf_single_t *pol, grub_size_t degree, gf_single_t x)
return s; return s;
} }
#if !defined (STANDALONE) || defined (TEST)
static void static void
rs_encode (gf_single_t *data, grub_size_t s, grub_size_t rs) rs_encode (gf_single_t *data, grub_size_t s, grub_size_t rs)
{ {
@ -139,7 +132,7 @@ rs_encode (gf_single_t *data, grub_size_t s, grub_size_t rs)
if (a & (1 << (GF_SIZE - 1))) if (a & (1 << (GF_SIZE - 1)))
{ {
a <<= 1; a <<= 1;
a ^= gf_polynomial; a ^= GF_POLYNOMIAL;
} }
else else
a <<= 1; a <<= 1;
@ -157,21 +150,21 @@ rs_encode (gf_single_t *data, grub_size_t s, grub_size_t rs)
free (rs_polynomial); free (rs_polynomial);
grub_memcpy (data + s, m + s, rs * sizeof (gf_single_t)); grub_memcpy (data + s, m + s, rs * sizeof (gf_single_t));
free (m); free (m);
} }
#endif
static void static void
syndroms (gf_single_t *m, grub_size_t s, grub_size_t rs, syndroms (gf_single_t *m, grub_size_t s, grub_size_t rs,
gf_single_t *sy) gf_single_t *sy)
{ {
gf_single_t xn = 1; gf_single_t xn = 1;
int i; unsigned i;
for (i = 0; i < rs; i++) for (i = 0; i < rs; i++)
{ {
if (xn & (1 << (GF_SIZE - 1))) if (xn & (1 << (GF_SIZE - 1)))
{ {
xn <<= 1; xn <<= 1;
xn ^= gf_polynomial; xn ^= GF_POLYNOMIAL;
} }
else else
xn <<= 1; xn <<= 1;
@ -179,6 +172,66 @@ syndroms (gf_single_t *m, grub_size_t s, grub_size_t rs,
} }
} }
static void
gauss_eliminate (gf_single_t *eq, int n, int m, int *chosen)
{
int i, j;
for (i = 0 ; i < n; i++)
{
int nzidx;
int k;
gf_single_t r;
for (nzidx = 0; nzidx < m && (eq[i * (m + 1) + nzidx] == 0);
nzidx++);
if (nzidx == m)
continue;
chosen[i] = nzidx;
r = gf_invert [eq[i * (m + 1) + nzidx]];
for (j = 0; j < m + 1; j++)
eq[i * (m + 1) + j] = gf_mul (eq[i * (m + 1) + j], r);
for (j = i + 1; j < n; j++)
{
gf_single_t rr = eq[j * (m + 1) + nzidx];
for (k = 0; k < m + 1; k++)
eq[j * (m + 1) + k] ^= gf_mul (eq[i * (m + 1) + k], rr);
}
}
}
static void
gauss_solve (gf_single_t *eq, int n, int m, gf_single_t *sol)
{
int *chosen;
int i, j;
#ifndef STANDALONE
chosen = xmalloc (n * sizeof (int));
grub_memset (chosen, -1, n * sizeof (int));
#else
chosen = (void *) scratch;
scratch += n;
#endif
for (i = 0; i < m; i++)
sol[i] = 0;
gauss_eliminate (eq, n, m, chosen);
for (i = n - 1; i >= 0; i--)
{
gf_single_t s = 0;
if (chosen[i] == -1)
continue;
for (j = 0; j < m; j++)
s ^= gf_mul (eq[i * (m + 1) + j], sol[j]);
s ^= eq[i * (m + 1) + m];
sol[chosen[i]] = s;
}
#ifndef STANDALONE
free (chosen);
#else
scratch -= n;
#endif
}
static void static void
rs_recover (gf_single_t *m, grub_size_t s, grub_size_t rs) rs_recover (gf_single_t *m, grub_size_t s, grub_size_t rs)
{ {
@ -190,76 +243,61 @@ rs_recover (gf_single_t *m, grub_size_t s, grub_size_t rs)
int errnum = 0; int errnum = 0;
int i, j; int i, j;
#ifndef STANDALONE
sigma = xmalloc (rs2 * sizeof (gf_single_t)); sigma = xmalloc (rs2 * sizeof (gf_single_t));
errpot = xmalloc (rs2 * sizeof (gf_single_t)); errpot = xmalloc (rs2 * sizeof (gf_single_t));
errpos = xmalloc (rs2 * sizeof (int)); errpos = xmalloc (rs2 * sizeof (int));
sy = xmalloc (rs * sizeof (gf_single_t)); sy = xmalloc (rs * sizeof (gf_single_t));
#else
sigma = (void *) scratch;
scratch += rs2 * sizeof (gf_single_t);
errpot = (void *) scratch;
scratch += rs2 * sizeof (gf_single_t);
errpos = (void *) scratch;
scratch += rs2 * sizeof (int);
sy = (void *) scratch;
scratch += rs * sizeof (gf_single_t);
#endif
syndroms (m, s, rs, sy); syndroms (m, s, rs, sy);
{ {
gf_single_t *eq; gf_single_t *eq;
int *chosen;
#ifndef STANDALONE
eq = xmalloc (rs2 * (rs2 + 1) * sizeof (gf_single_t)); eq = xmalloc (rs2 * (rs2 + 1) * sizeof (gf_single_t));
chosen = xmalloc (rs2 * sizeof (int)); #else
eq = (void *) scratch;
scratch += rs2 * (rs2 + 1) * sizeof (gf_single_t);
#endif
for (i = 0; i < rs; i++) for (i = 0; i < (int) rs; i++)
if (sy[i] != 0) if (sy[i] != 0)
break; break;
/* No error detected. */ /* No error detected. */
if (i == rs) if (i == (int) rs)
return; return;
for (i = 0; i < rs2; i++) for (i = 0; i < (int) rs2; i++)
for (j = 0; j < rs2 + 1; j++) for (j = 0; j < (int) rs2 + 1; j++)
eq[i * (rs2 + 1) + j] = sy[i+j]; eq[i * (rs2 + 1) + j] = sy[i+j];
grub_memset (sigma, 0, rs2 * sizeof (gf_single_t)); for (i = 0; i < (int) rs2; i++)
grub_memset (chosen, -1, rs2 * sizeof (int)); sigma[i] = 0;
for (i = 0 ; i < rs2; i++) gauss_solve (eq, rs2, rs2, sigma);
{
int nzidx;
int k;
gf_single_t r;
for (nzidx = 0; nzidx < rs2 && (eq[i * (rs2 + 1) + nzidx] == 0);
nzidx++);
if (nzidx == rs2)
{
break;
}
chosen[i] = nzidx;
r = gf_invert (eq[i * (rs2 + 1) + nzidx]);
for (j = 0; j < rs2 + 1; j++)
eq[i * (rs2 + 1) + j] = gf_mul (eq[i * (rs2 + 1) + j], r);
for (j = i + 1; j < rs2; j++)
{
gf_single_t rr = eq[j * (rs2 + 1) + nzidx];
for (k = 0; k < rs2 + 1; k++)
eq[j * (rs2 + 1) + k] ^= gf_mul (eq[i * (rs2 + 1) + k], rr);;
}
}
for (i = rs2 - 1; i >= 0; i--)
{
gf_single_t s = 0;
if (chosen[i] == -1)
continue;
for (j = 0; j < rs2; j++)
s ^= gf_mul (eq[i * (rs2 + 1) + j], sigma[j]);
s ^= eq[i * (rs2 + 1) + rs2];
sigma[chosen[i]] = s;
}
free (chosen); #ifndef STANDALONE
free (eq); free (eq);
#else
scratch -= rs2 * (rs2 + 1) * sizeof (gf_single_t);
#endif
} }
{ {
gf_single_t xn = 1, xx = gf_invert (2), yn = 1; gf_single_t xn = 1, yn = 1;
int lp = 0; for (i = 0; i < (int) (rs + s); i++)
for (i = 0; i < rs + s; i++)
{ {
gf_single_t ev = (gf_mul (pol_evaluate (sigma, rs2 - 1, xn), xn) ^ 1); gf_single_t ev = (gf_mul (pol_evaluate (sigma, rs2 - 1, xn), xn) ^ 1);
if (ev == 0) if (ev == 0)
@ -268,96 +306,87 @@ rs_recover (gf_single_t *m, grub_size_t s, grub_size_t rs)
errpos[errnum++] = s + rs - i - 1; errpos[errnum++] = s + rs - i - 1;
} }
yn = gf_mul (yn, 2); yn = gf_mul (yn, 2);
xn = gf_mul (xn, xx); xn = gf_mul (xn, GF_INVERT2);
} }
} }
{ {
gf_single_t *eq;
int *chosen;
gf_single_t *errvals; gf_single_t *errvals;
gf_single_t *eq;
#ifndef STANDALONE
eq = xmalloc (rs * (errnum + 1) * sizeof (gf_single_t)); eq = xmalloc (rs * (errnum + 1) * sizeof (gf_single_t));
chosen = xmalloc (rs * sizeof (int));
errvals = xmalloc (errnum * sizeof (int)); errvals = xmalloc (errnum * sizeof (int));
#else
grub_memset (chosen, -1, rs * sizeof (int)); eq = (void *) scratch;
grub_memset (errvals, 0, errnum * sizeof (gf_single_t)); scratch += rs * (errnum + 1) * sizeof (gf_single_t);
errvals = (void *) scratch;
scratch += errnum * sizeof (int);
#endif
for (j = 0; j < errnum; j++) for (j = 0; j < errnum; j++)
eq[j] = errpot[j]; eq[j] = errpot[j];
eq[errnum] = sy[0]; eq[errnum] = sy[0];
for (i = 1; i < rs; i++) for (i = 1; i < (int) rs; i++)
{ {
for (j = 0; j < errnum; j++) for (j = 0; j < (int) errnum; j++)
eq[(errnum + 1) * i + j] = gf_mul (errpot[j], eq[(errnum + 1) * i + j] = gf_mul (errpot[j],
eq[(errnum + 1) * (i - 1) + j]); eq[(errnum + 1) * (i - 1) + j]);
eq[(errnum + 1) * i + errnum] = sy[i]; eq[(errnum + 1) * i + errnum] = sy[i];
} }
for (i = 0 ; i < rs; i++)
{ gauss_solve (eq, rs, errnum, errvals);
int nzidx;
int k; for (i = 0; i < (int) errnum; i++)
gf_single_t r;
for (nzidx = 0; nzidx < errnum && (eq[i * (errnum + 1) + nzidx] == 0);
nzidx++);
if (nzidx == errnum)
continue;
chosen[i] = nzidx;
r = gf_invert (eq[i * (errnum + 1) + nzidx]);
for (j = 0; j < errnum + 1; j++)
eq[i * (errnum + 1) + j] = gf_mul (eq[i * (errnum + 1) + j], r);
for (j = i + 1; j < rs; j++)
{
gf_single_t rr = eq[j * (errnum + 1) + nzidx];
for (k = 0; k < errnum + 1; k++)
eq[j * (errnum + 1) + k] ^= gf_mul (eq[i * (errnum + 1) + k], rr);
}
}
for (i = rs - 1; i >= 0; i--)
{
gf_single_t s = 0;
if (chosen[i] == -1)
continue;
for (j = 0; j < errnum; j++)
s ^= gf_mul (eq[i * (errnum + 1) + j], errvals[j]);
s ^= eq[i * (errnum + 1) + errnum];
errvals[chosen[i]] = s;
}
for (i = 0; i < errnum; i++)
m[errpos[i]] ^= errvals[i]; m[errpos[i]] ^= errvals[i];
#ifndef STANDALONE
free (eq);
free (errvals);
#else
scratch -= rs * (errnum + 1) * sizeof (gf_single_t);
scratch -= errnum * sizeof (int);
#endif
} }
#ifndef STANDALONE
free (sigma);
free (errpot);
free (errpos);
free (sy); free (sy);
#else
scratch -= rs2 * sizeof (gf_single_t);
scratch -= rs2 * sizeof (gf_single_t);
scratch -= rs2 * sizeof (int);
scratch -= rs * sizeof (gf_single_t);
#endif
} }
static void static void
decode_block (gf_single_t *ptr, grub_size_t s, decode_block (gf_single_t *ptr, grub_size_t s,
gf_single_t *rptr, grub_size_t rs) gf_single_t *rptr, grub_size_t rs)
{ {
grub_size_t ss; int i, j;
int i, j, k;
for (i = 0; i < SECTOR_SIZE; i++) for (i = 0; i < SECTOR_SIZE; i++)
{ {
grub_size_t ds = (s + SECTOR_SIZE - 1 - i) / SECTOR_SIZE; grub_size_t ds = (s + SECTOR_SIZE - 1 - i) / SECTOR_SIZE;
grub_size_t rr = (rs + SECTOR_SIZE - 1 - i) / SECTOR_SIZE; grub_size_t rr = (rs + SECTOR_SIZE - 1 - i) / SECTOR_SIZE;
gf_single_t m[ds + rr]; gf_single_t m[ds + rr];
for (j = 0; j < ds; j++) for (j = 0; j < (int) ds; j++)
m[j] = ptr[SECTOR_SIZE * j + i]; m[j] = ptr[SECTOR_SIZE * j + i];
for (j = 0; j < rr; j++) for (j = 0; j < (int) rr; j++)
m[j + ds] = rptr[SECTOR_SIZE * j + i]; m[j + ds] = rptr[SECTOR_SIZE * j + i];
rs_recover (m, ds, rr); rs_recover (m, ds, rr);
for (j = 0; j < ds; j++) for (j = 0; j < (int) ds; j++)
ptr[SECTOR_SIZE * j + i] = m[j]; ptr[SECTOR_SIZE * j + i] = m[j];
} }
} }
#if !defined (STANDALONE) || defined (TEST)
static void static void
encode_block (gf_single_t *ptr, grub_size_t s, encode_block (gf_single_t *ptr, grub_size_t s,
gf_single_t *rptr, grub_size_t rs) gf_single_t *rptr, grub_size_t rs)
{ {
grub_size_t ss;
int i, j; int i, j;
for (i = 0; i < SECTOR_SIZE; i++) for (i = 0; i < SECTOR_SIZE; i++)
{ {
@ -371,7 +400,9 @@ encode_block (gf_single_t *ptr, grub_size_t s,
rptr[SECTOR_SIZE * j + i] = m[j + ds]; rptr[SECTOR_SIZE * j + i] = m[j + ds];
} }
} }
#endif
#if !defined (STANDALONE) || defined (TEST)
void void
grub_reed_solomon_add_redundancy (void *buffer, grub_size_t data_size, grub_reed_solomon_add_redundancy (void *buffer, grub_size_t data_size,
grub_size_t redundancy) grub_size_t redundancy)
@ -400,11 +431,18 @@ grub_reed_solomon_add_redundancy (void *buffer, grub_size_t data_size,
rs -= crs; rs -= crs;
} }
} }
#endif
void void
grub_reed_solomon_recover (void *ptr, grub_size_t s, grub_size_t rs) grub_reed_solomon_recover (void *ptr_, grub_size_t s, grub_size_t rs)
{ {
gf_single_t *ptr = ptr_;
gf_single_t *rptr = ptr + s; gf_single_t *rptr = ptr + s;
#if defined (STANDALONE) && !defined (TEST)
init_inverts ();
#endif
while (s > 0) while (s > 0)
{ {
grub_size_t tt; grub_size_t tt;
@ -432,6 +470,13 @@ main (int argc, char **argv)
FILE *in, *out; FILE *in, *out;
grub_size_t s, rs; grub_size_t s, rs;
char *buf; char *buf;
#ifdef STANDALONE
scratch = xmalloc (1048576);
#endif
init_inverts ();
in = fopen ("tst.bin", "rb"); in = fopen ("tst.bin", "rb");
if (!in) if (!in)
return 1; return 1;

View file

@ -41,9 +41,9 @@
#define GRUB_KERNEL_I386_PC_MULTIBOOT_SIGNATURE 0x20 #define GRUB_KERNEL_I386_PC_MULTIBOOT_SIGNATURE 0x20
/* The size of the first region which won't be compressed. */ /* The size of the first region which won't be compressed. */
#define GRUB_KERNEL_I386_PC_RAW_SIZE 0x5E0 #define GRUB_KERNEL_I386_PC_RAW_SIZE 0xc6c
#define GRUB_KERNEL_I386_PC_NO_REED_SOLOMON_PART 0x300 #define GRUB_KERNEL_I386_PC_NO_REED_SOLOMON_PART 0x748
/* The offset of GRUB_PREFIX. */ /* The offset of GRUB_PREFIX. */
#define GRUB_KERNEL_I386_PC_PREFIX GRUB_KERNEL_I386_PC_RAW_SIZE #define GRUB_KERNEL_I386_PC_PREFIX GRUB_KERNEL_I386_PC_RAW_SIZE