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Commit 04459d7c authored by David Woodhouse's avatar David Woodhouse
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[MTD] NAND: Add hardware ECC correction support to CAFÉ NAND driver 

Signed-off-by: default avatarDavid Woodhouse <dwmw2@infradead.org>
parent c45aa055
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Showing with 1385 additions and 13 deletions
drivers/mtd/nand/cafe_nand.c → drivers/mtd/nand/cafe.c
View file @ 04459d7c
...@@ -29,12 +29,20 @@ ...@@ -29,12 +29,20 @@
#define CAFE_NAND_TIMING2 0x28 #define CAFE_NAND_TIMING2 0x28
#define CAFE_NAND_TIMING3 0x2c #define CAFE_NAND_TIMING3 0x2c
#define CAFE_NAND_NONMEM 0x30 #define CAFE_NAND_NONMEM 0x30
#define CAFE_NAND_ECC_RESULT 0x3C
#define CAFE_NAND_ECC_SYN01 0x50
#define CAFE_NAND_ECC_SYN23 0x54
#define CAFE_NAND_ECC_SYN45 0x58
#define CAFE_NAND_ECC_SYN67 0x5c
#define CAFE_NAND_DMA_CTRL 0x40 #define CAFE_NAND_DMA_CTRL 0x40
#define CAFE_NAND_DMA_ADDR0 0x44 #define CAFE_NAND_DMA_ADDR0 0x44
#define CAFE_NAND_DMA_ADDR1 0x48 #define CAFE_NAND_DMA_ADDR1 0x48
#define CAFE_NAND_READ_DATA 0x1000 #define CAFE_NAND_READ_DATA 0x1000
#define CAFE_NAND_WRITE_DATA 0x2000 #define CAFE_NAND_WRITE_DATA 0x2000
int cafe_correct_ecc(unsigned char *buf,
unsigned short *chk_syndrome_list);
struct cafe_priv { struct cafe_priv {
struct nand_chip nand; struct nand_chip nand;
struct pci_dev *pdev; struct pci_dev *pdev;
...@@ -50,7 +58,7 @@ struct cafe_priv { ...@@ -50,7 +58,7 @@ struct cafe_priv {
}; };
static int usedma = 1; static int usedma = 0;
module_param(usedma, int, 0644); module_param(usedma, int, 0644);
static int skipbbt = 0; static int skipbbt = 0;
...@@ -59,6 +67,7 @@ module_param(skipbbt, int, 0644); ...@@ -59,6 +67,7 @@ module_param(skipbbt, int, 0644);
static int debug = 0; static int debug = 0;
module_param(debug, int, 0644); module_param(debug, int, 0644);
/* Hrm. Why isn't this already conditional on something in the struct device? */
#define cafe_dev_dbg(dev, args...) do { if (debug) dev_dbg(dev, ##args); } while(0) #define cafe_dev_dbg(dev, args...) do { if (debug) dev_dbg(dev, ##args); } while(0)
...@@ -203,9 +212,11 @@ static void cafe_nand_cmdfunc(struct mtd_info *mtd, unsigned command, ...@@ -203,9 +212,11 @@ static void cafe_nand_cmdfunc(struct mtd_info *mtd, unsigned command,
writel(cafe->ctl2 | 0x100 | NAND_CMD_READSTART, cafe->mmio + CAFE_NAND_CTRL2); writel(cafe->ctl2 | 0x100 | NAND_CMD_READSTART, cafe->mmio + CAFE_NAND_CTRL2);
do_command: do_command:
#if 0
// ECC on read only works if we ... // ECC on read only works if we ...
// if (cafe->datalen == 2112) if (cafe->datalen == 2112)
// cafe->datalen = 2062; cafe->datalen = 2062;
#endif
cafe_dev_dbg(&cafe->pdev->dev, "dlen %x, ctl1 %x, ctl2 %x\n", cafe_dev_dbg(&cafe->pdev->dev, "dlen %x, ctl1 %x, ctl2 %x\n",
cafe->datalen, ctl1, readl(cafe->mmio+CAFE_NAND_CTRL2)); cafe->datalen, ctl1, readl(cafe->mmio+CAFE_NAND_CTRL2));
/* NB: The datasheet lies -- we really should be subtracting 1 here */ /* NB: The datasheet lies -- we really should be subtracting 1 here */
...@@ -311,8 +322,6 @@ static int cafe_nand_write_oob(struct mtd_info *mtd, ...@@ -311,8 +322,6 @@ static int cafe_nand_write_oob(struct mtd_info *mtd,
{ {
int status = 0; int status = 0;
WARN_ON(chip->oob_poi != chip->buffers->oobwbuf);
chip->cmdfunc(mtd, NAND_CMD_SEQIN, mtd->writesize, page); chip->cmdfunc(mtd, NAND_CMD_SEQIN, mtd->writesize, page);
chip->write_buf(mtd, chip->oob_poi, mtd->oobsize); chip->write_buf(mtd, chip->oob_poi, mtd->oobsize);
chip->cmdfunc(mtd, NAND_CMD_PAGEPROG, -1, -1); chip->cmdfunc(mtd, NAND_CMD_PAGEPROG, -1, -1);
...@@ -343,13 +352,33 @@ static int cafe_nand_read_page(struct mtd_info *mtd, struct nand_chip *chip, ...@@ -343,13 +352,33 @@ static int cafe_nand_read_page(struct mtd_info *mtd, struct nand_chip *chip,
{ {
struct cafe_priv *cafe = mtd->priv; struct cafe_priv *cafe = mtd->priv;
WARN_ON(chip->oob_poi != chip->buffers->oobrbuf); dev_dbg(&cafe->pdev->dev, "ECC result %08x SYN1,2 %08x\n",
readl(cafe->mmio + CAFE_NAND_ECC_RESULT),
cafe_dev_dbg(&cafe->pdev->dev, "ECC result %08x SYN1,2 %08x\n", readl(cafe->mmio + 0x3c), readl(cafe->mmio + 0x50)); readl(cafe->mmio + CAFE_NAND_ECC_SYN01));
chip->read_buf(mtd, buf, mtd->writesize); chip->read_buf(mtd, buf, mtd->writesize);
chip->read_buf(mtd, chip->oob_poi, mtd->oobsize); chip->read_buf(mtd, chip->oob_poi, mtd->oobsize);
if (readl(cafe->mmio + CAFE_NAND_ECC_RESULT) & (1<<18)) {
unsigned short syn[8];
int i;
for (i=0; i<8; i+=2) {
uint32_t tmp = readl(cafe->mmio + CAFE_NAND_ECC_SYN01 + (i*2));
syn[i] = tmp & 0xfff;
syn[i+1] = (tmp >> 16) & 0xfff;
}
if ((i = cafe_correct_ecc(buf, syn)) < 0) {
dev_dbg(&cafe->pdev->dev, "Failed to correct ECC\n");
mtd->ecc_stats.failed++;
} else {
dev_dbg(&cafe->pdev->dev, "Corrected %d symbol errors\n", i);
mtd->ecc_stats.corrected += i;
}
}
return 0; return 0;
} }
...@@ -390,14 +419,11 @@ static struct nand_ecclayout cafe_oobinfo_512 = { ...@@ -390,14 +419,11 @@ static struct nand_ecclayout cafe_oobinfo_512 = {
.oobfree = {{14, 2}} .oobfree = {{14, 2}}
}; };
static void cafe_nand_write_page_lowlevel(struct mtd_info *mtd, static void cafe_nand_write_page_lowlevel(struct mtd_info *mtd,
struct nand_chip *chip, const uint8_t *buf) struct nand_chip *chip, const uint8_t *buf)
{ {
struct cafe_priv *cafe = mtd->priv; struct cafe_priv *cafe = mtd->priv;
WARN_ON(chip->oob_poi != chip->buffers->oobwbuf);
chip->write_buf(mtd, buf, mtd->writesize); chip->write_buf(mtd, buf, mtd->writesize);
chip->write_buf(mtd, chip->oob_poi, mtd->oobsize); chip->write_buf(mtd, chip->oob_poi, mtd->oobsize);
...@@ -412,8 +438,6 @@ static int cafe_nand_write_page(struct mtd_info *mtd, struct nand_chip *chip, ...@@ -412,8 +438,6 @@ static int cafe_nand_write_page(struct mtd_info *mtd, struct nand_chip *chip,
{ {
int status; int status;
WARN_ON(chip->oob_poi != chip->buffers->oobwbuf);
chip->cmdfunc(mtd, NAND_CMD_SEQIN, 0x00, page); chip->cmdfunc(mtd, NAND_CMD_SEQIN, 0x00, page);
if (unlikely(raw)) if (unlikely(raw))
......
drivers/mtd/nand/cafe_ecc.c 0 → 100644
View file @ 04459d7c
/* Error correction for CAFÉ NAND controller
*
* © 2006 Marvell, Inc.
* Author: Tom Chiou
*
* This program is free software; you can redistribute it and/or modify it
* under the terms of the GNU General Public License as published by the Free
* Software Foundation; either version 2 of the License, or (at your option)
* any later version.
*
* This program is distributed in the hope that it will be useful, but WITHOUT
* ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for
* more details.
*
* You should have received a copy of the GNU General Public License along with
* this program; if not, write to the Free Software Foundation, Inc., 59
* Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#include <linux/kernel.h>
#include <linux/errno.h>
static unsigned short gf4096_mul(unsigned short, unsigned short);
static unsigned short gf64_mul(unsigned short, unsigned short);
static unsigned short gf4096_inv(unsigned short);
static unsigned short err_pos(unsigned short);
static void find_4bit_err_coefs(unsigned short, unsigned short, unsigned short,
unsigned short, unsigned short, unsigned short,
unsigned short, unsigned short, unsigned short *);
static void zero_4x5_col3(unsigned short[4][5]);
static void zero_4x5_col2(unsigned short[4][5]);
static void zero_4x5_col1(unsigned short[4][5]);
static void swap_4x5_rows(unsigned short[4][5], int, int, int);
static void swap_2x3_rows(unsigned short m[2][3]);
static void solve_4x5(unsigned short m[4][5], unsigned short *, int *);
static void sort_coefs(int *, unsigned short *, int);
static void find_4bit_err_pats(unsigned short, unsigned short, unsigned short,
unsigned short, unsigned short, unsigned short,
unsigned short, unsigned short, unsigned short *);
static void find_3bit_err_coefs(unsigned short, unsigned short, unsigned short,
unsigned short, unsigned short, unsigned short,
unsigned short *);
static void zero_3x4_col2(unsigned short[3][4]);
static void zero_3x4_col1(unsigned short[3][4]);
static void swap_3x4_rows(unsigned short[3][4], int, int, int);
static void solve_3x4(unsigned short[3][4], unsigned short *, int *);
static void find_3bit_err_pats(unsigned short, unsigned short, unsigned short,
unsigned short, unsigned short, unsigned short,
unsigned short *);
static void find_2bit_err_pats(unsigned short, unsigned short, unsigned short,
unsigned short, unsigned short *);
static void find_2x2_soln(unsigned short, unsigned short, unsigned short,
unsigned short, unsigned short, unsigned short,
unsigned short *);
static void solve_2x3(unsigned short[2][3], unsigned short *);
static int chk_no_err_only(unsigned short *, unsigned short *);
static int chk_1_err_only(unsigned short *, unsigned short *);
static int chk_2_err_only(unsigned short *, unsigned short *);
static int chk_3_err_only(unsigned short *, unsigned short *);
static int chk_4_err_only(unsigned short *, unsigned short *);
static unsigned short gf64_mul(unsigned short a, unsigned short b)
{
unsigned short tmp1, tmp2, tmp3, tmp4, tmp5;
unsigned short c_bit0, c_bit1, c_bit2, c_bit3, c_bit4, c_bit5, c;
tmp1 = ((a) ^ (a >> 5));
tmp2 = ((a >> 4) ^ (a >> 5));
tmp3 = ((a >> 3) ^ (a >> 4));
tmp4 = ((a >> 2) ^ (a >> 3));
tmp5 = ((a >> 1) ^ (a >> 2));
c_bit0 = ((a & b) ^ ((a >> 5) & (b >> 1)) ^ ((a >> 4) & (b >> 2)) ^
((a >> 3) & (b >> 3)) ^ ((a >> 2) & (b >> 4)) ^ ((a >> 1) & (b >> 5))) & 0x1;
c_bit1 = (((a >> 1) & b) ^ (tmp1 & (b >> 1)) ^ (tmp2 & (b >> 2)) ^
(tmp3 & (b >> 3)) ^ (tmp4 & (b >> 4)) ^ (tmp5 & (b >> 5))) & 0x1;
c_bit2 = (((a >> 2) & b) ^ ((a >> 1) & (b >> 1)) ^ (tmp1 & (b >> 2)) ^
(tmp2 & (b >> 3)) ^ (tmp3 & (b >> 4)) ^ (tmp4 & (b >> 5))) & 0x1;
c_bit3 = (((a >> 3) & b) ^ ((a >> 2) & (b >> 1)) ^ ((a >> 1) & (b >> 2)) ^
(tmp1 & (b >> 3)) ^ (tmp2 & (b >> 4)) ^ (tmp3 & (b >> 5))) & 0x1;
c_bit4 = (((a >> 4) & b) ^ ((a >> 3) & (b >> 1)) ^ ((a >> 2) & (b >> 2)) ^
((a >> 1) & (b >> 3)) ^ (tmp1 & (b >> 4)) ^ (tmp2 & (b >> 5))) & 0x1;
c_bit5 = (((a >> 5) & b) ^ ((a >> 4) & (b >> 1)) ^ ((a >> 3) & (b >> 2)) ^
((a >> 2) & (b >> 3)) ^ ((a >> 1) & (b >> 4)) ^ (tmp1 & (b >> 5))) & 0x1;
c = c_bit0 | (c_bit1 << 1) | (c_bit2 << 2) | (c_bit3 << 3) | (c_bit4 << 4) | (c_bit5 << 5);
return c;
}
static unsigned short gf4096_mul(unsigned short a, unsigned short b)
{
unsigned short ah, al, bh, bl, alxah, blxbh, ablh, albl, ahbh, ahbhB, c;
ah = (a >> 6) & 0x3f;
al = a & 0x3f;
bh = (b >> 6) & 0x3f;
bl = b & 0x3f;
alxah = al ^ ah;
blxbh = bl ^ bh;
ablh = gf64_mul(alxah, blxbh);
albl = gf64_mul(al, bl);
ahbh = gf64_mul(ah, bh);
ahbhB = ((ahbh & 0x1) << 5) |
((ahbh & 0x20) >> 1) |
((ahbh & 0x10) >> 1) | ((ahbh & 0x8) >> 1) | ((ahbh & 0x4) >> 1) | (((ahbh >> 1) ^ ahbh) & 0x1);
c = ((ablh ^ albl) << 6) | (ahbhB ^ albl);
return c;
}
static void find_2bit_err_pats(unsigned short s0, unsigned short s1, unsigned short r0, unsigned short r1, unsigned short *pats)
{
find_2x2_soln(0x1, 0x1, r0, r1, s0, s1, pats);
}
static void find_3bit_err_coefs(unsigned short s0, unsigned short s1,
unsigned short s2, unsigned short s3, unsigned short s4, unsigned short s5, unsigned short *coefs)
{
unsigned short m[3][4];
int row_order[3];
row_order[0] = 0;
row_order[1] = 1;
row_order[2] = 2;
m[0][0] = s2;
m[0][1] = s1;
m[0][2] = s0;
m[0][3] = s3;
m[1][0] = s3;
m[1][1] = s2;
m[1][2] = s1;
m[1][3] = s4;
m[2][0] = s4;
m[2][1] = s3;
m[2][2] = s2;
m[2][3] = s5;
if (m[0][2] != 0x0) {
zero_3x4_col2(m);
} else if (m[1][2] != 0x0) {
swap_3x4_rows(m, 0, 1, 4);
zero_3x4_col2(m);
} else if (m[2][2] != 0x0) {
swap_3x4_rows(m, 0, 2, 4);
zero_3x4_col2(m);
} else {
printk(KERN_ERR "Error: find_3bit_err_coefs, s0,s1,s2 all zeros!\n");
}
if (m[1][1] != 0x0) {
zero_3x4_col1(m);
} else if (m[2][1] != 0x0) {
swap_3x4_rows(m, 1, 2, 4);
zero_3x4_col1(m);
} else {
printk(KERN_ERR "Error: find_3bit_err_coefs, cannot resolve col 1!\n");
}
/* solve coefs */
solve_3x4(m, coefs, row_order);
}
static void zero_3x4_col2(unsigned short m[3][4])
{
unsigned short minv1, minv2;
minv1 = gf4096_mul(m[1][2], gf4096_inv(m[0][2]));
minv2 = gf4096_mul(m[2][2], gf4096_inv(m[0][2]));
m[1][0] = m[1][0] ^ gf4096_mul(m[0][0], minv1);
m[1][1] = m[1][1] ^ gf4096_mul(m[0][1], minv1);
m[1][3] = m[1][3] ^ gf4096_mul(m[0][3], minv1);
m[2][0] = m[2][0] ^ gf4096_mul(m[0][0], minv2);
m[2][1] = m[2][1] ^ gf4096_mul(m[0][1], minv2);
m[2][3] = m[2][3] ^ gf4096_mul(m[0][3], minv2);
}
static void zero_3x4_col1(unsigned short m[3][4])
{
unsigned short minv;
minv = gf4096_mul(m[2][1], gf4096_inv(m[1][1]));
m[2][0] = m[2][0] ^ gf4096_mul(m[1][0], minv);
m[2][3] = m[2][3] ^ gf4096_mul(m[1][3], minv);
}
static void swap_3x4_rows(unsigned short m[3][4], int i, int j, int col_width)
{
unsigned short tmp0;
int cnt;
for (cnt = 0; cnt < col_width; cnt++) {
tmp0 = m[i][cnt];
m[i][cnt] = m[j][cnt];
m[j][cnt] = tmp0;
}
}
static void solve_3x4(unsigned short m[3][4], unsigned short *coefs, int *row_order)
{
unsigned short tmp[3];
tmp[0] = gf4096_mul(m[2][3], gf4096_inv(m[2][0]));
tmp[1] = gf4096_mul((gf4096_mul(tmp[0], m[1][0]) ^ m[1][3]), gf4096_inv(m[1][1]));
tmp[2] = gf4096_mul((gf4096_mul(tmp[0], m[0][0]) ^ gf4096_mul(tmp[1], m[0][1]) ^ m[0][3]), gf4096_inv(m[0][2]));
sort_coefs(row_order, tmp, 3);
coefs[0] = tmp[0];
coefs[1] = tmp[1];
coefs[2] = tmp[2];
}
static void find_3bit_err_pats(unsigned short s0, unsigned short s1,
unsigned short s2, unsigned short r0,
unsigned short r1, unsigned short r2,
unsigned short *pats)
{
find_2x2_soln(r0 ^ r2, r1 ^ r2,
gf4096_mul(r0, r0 ^ r2), gf4096_mul(r1, r1 ^ r2),
gf4096_mul(s0, r2) ^ s1, gf4096_mul(s1, r2) ^ s2, pats);
pats[2] = s0 ^ pats[0] ^ pats[1];
}
static void find_4bit_err_coefs(unsigned short s0, unsigned short s1,
unsigned short s2, unsigned short s3,
unsigned short s4, unsigned short s5,
unsigned short s6, unsigned short s7,
unsigned short *coefs)
{
unsigned short m[4][5];
int row_order[4];
row_order[0] = 0;
row_order[1] = 1;
row_order[2] = 2;
row_order[3] = 3;
m[0][0] = s3;
m[0][1] = s2;
m[0][2] = s1;
m[0][3] = s0;
m[0][4] = s4;
m[1][0] = s4;
m[1][1] = s3;
m[1][2] = s2;
m[1][3] = s1;
m[1][4] = s5;
m[2][0] = s5;
m[2][1] = s4;
m[2][2] = s3;
m[2][3] = s2;
m[2][4] = s6;
m[3][0] = s6;
m[3][1] = s5;
m[3][2] = s4;
m[3][3] = s3;
m[3][4] = s7;
if (m[0][3] != 0x0) {
zero_4x5_col3(m);
} else if (m[1][3] != 0x0) {
swap_4x5_rows(m, 0, 1, 5);
zero_4x5_col3(m);
} else if (m[2][3] != 0x0) {
swap_4x5_rows(m, 0, 2, 5);
zero_4x5_col3(m);
} else if (m[3][3] != 0x0) {
swap_4x5_rows(m, 0, 3, 5);
zero_4x5_col3(m);
} else {
printk(KERN_ERR "Error: find_4bit_err_coefs, s0,s1,s2,s3 all zeros!\n");
}
if (m[1][2] != 0x0) {
zero_4x5_col2(m);
} else if (m[2][2] != 0x0) {
swap_4x5_rows(m, 1, 2, 5);
zero_4x5_col2(m);
} else if (m[3][2] != 0x0) {
swap_4x5_rows(m, 1, 3, 5);
zero_4x5_col2(m);
} else {
printk(KERN_ERR "Error: find_4bit_err_coefs, cannot resolve col 2!\n");
}
if (m[2][1] != 0x0) {
zero_4x5_col1(m);
} else if (m[3][1] != 0x0) {
swap_4x5_rows(m, 2, 3, 5);
zero_4x5_col1(m);
} else {
printk(KERN_ERR "Error: find_4bit_err_coefs, cannot resolve col 1!\n");
}
solve_4x5(m, coefs, row_order);
}
static void zero_4x5_col3(unsigned short m[4][5])
{
unsigned short minv1, minv2, minv3;
minv1 = gf4096_mul(m[1][3], gf4096_inv(m[0][3]));
minv2 = gf4096_mul(m[2][3], gf4096_inv(m[0][3]));
minv3 = gf4096_mul(m[3][3], gf4096_inv(m[0][3]));
m[1][0] = m[1][0] ^ gf4096_mul(m[0][0], minv1);
m[1][1] = m[1][1] ^ gf4096_mul(m[0][1], minv1);
m[1][2] = m[1][2] ^ gf4096_mul(m[0][2], minv1);
m[1][4] = m[1][4] ^ gf4096_mul(m[0][4], minv1);
m[2][0] = m[2][0] ^ gf4096_mul(m[0][0], minv2);
m[2][1] = m[2][1] ^ gf4096_mul(m[0][1], minv2);
m[2][2] = m[2][2] ^ gf4096_mul(m[0][2], minv2);
m[2][4] = m[2][4] ^ gf4096_mul(m[0][4], minv2);
m[3][0] = m[3][0] ^ gf4096_mul(m[0][0], minv3);
m[3][1] = m[3][1] ^ gf4096_mul(m[0][1], minv3);
m[3][2] = m[3][2] ^ gf4096_mul(m[0][2], minv3);
m[3][4] = m[3][4] ^ gf4096_mul(m[0][4], minv3);
}
static void zero_4x5_col2(unsigned short m[4][5])
{
unsigned short minv2, minv3;
minv2 = gf4096_mul(m[2][2], gf4096_inv(m[1][2]));
minv3 = gf4096_mul(m[3][2], gf4096_inv(m[1][2]));
m[2][0] = m[2][0] ^ gf4096_mul(m[1][0], minv2);
m[2][1] = m[2][1] ^ gf4096_mul(m[1][1], minv2);
m[2][4] = m[2][4] ^ gf4096_mul(m[1][4], minv2);
m[3][0] = m[3][0] ^ gf4096_mul(m[1][0], minv3);
m[3][1] = m[3][1] ^ gf4096_mul(m[1][1], minv3);
m[3][4] = m[3][4] ^ gf4096_mul(m[1][4], minv3);
}
static void zero_4x5_col1(unsigned short m[4][5])
{
unsigned short minv;
minv = gf4096_mul(m[3][1], gf4096_inv(m[2][1]));
m[3][0] = m[3][0] ^ gf4096_mul(m[2][0], minv);
m[3][4] = m[3][4] ^ gf4096_mul(m[2][4], minv);
}
static void swap_4x5_rows(unsigned short m[4][5], int i, int j, int col_width)
{
unsigned short tmp0;
int cnt;
for (cnt = 0; cnt < col_width; cnt++) {
tmp0 = m[i][cnt];
m[i][cnt] = m[j][cnt];
m[j][cnt] = tmp0;
}
}
static void solve_4x5(unsigned short m[4][5], unsigned short *coefs, int *row_order)
{
unsigned short tmp[4];
tmp[0] = gf4096_mul(m[3][4], gf4096_inv(m[3][0]));
tmp[1] = gf4096_mul((gf4096_mul(tmp[0], m[2][0]) ^ m[2][4]), gf4096_inv(m[2][1]));
tmp[2] = gf4096_mul((gf4096_mul(tmp[0], m[1][0]) ^ gf4096_mul(tmp[1], m[1][1]) ^ m[1][4]), gf4096_inv(m[1][2]));
tmp[3] = gf4096_mul((gf4096_mul(tmp[0], m[0][0]) ^
gf4096_mul(tmp[1], m[0][1]) ^ gf4096_mul(tmp[2], m[0][2]) ^ m[0][4]), gf4096_inv(m[0][3]));
sort_coefs(row_order, tmp, 4);
coefs[0] = tmp[0];
coefs[1] = tmp[1];
coefs[2] = tmp[2];
coefs[3] = tmp[3];
}
static void sort_coefs(int *order, unsigned short *soln, int len)
{
int cnt, start_cnt, least_ord, least_cnt;
unsigned short tmp0;
for (start_cnt = 0; start_cnt < len; start_cnt++) {
for (cnt = start_cnt; cnt < len; cnt++) {
if (cnt == start_cnt) {
least_ord = order[cnt];
least_cnt = start_cnt;
} else {
if (least_ord > order[cnt]) {
least_ord = order[cnt];
least_cnt = cnt;
}
}
}
if (least_cnt != start_cnt) {
tmp0 = order[least_cnt];
order[least_cnt] = order[start_cnt];
order[start_cnt] = tmp0;
tmp0 = soln[least_cnt];
soln[least_cnt] = soln[start_cnt];
soln[start_cnt] = tmp0;
}
}
}
static void find_4bit_err_pats(unsigned short s0, unsigned short s1,
unsigned short s2, unsigned short s3,
unsigned short z1, unsigned short z2,
unsigned short z3, unsigned short z4,
unsigned short *pats)
{
unsigned short z4_z1, z3z4_z3z3, z4_z2, s0z4_s1, z1z4_z1z1,
z4_z3, z2z4_z2z2, s1z4_s2, z3z3z4_z3z3z3, z1z1z4_z1z1z1, z2z2z4_z2z2z2, s2z4_s3;
unsigned short tmp0, tmp1, tmp2, tmp3;
z4_z1 = z4 ^ z1;
z3z4_z3z3 = gf4096_mul(z3, z4) ^ gf4096_mul(z3, z3);
z4_z2 = z4 ^ z2;
s0z4_s1 = gf4096_mul(s0, z4) ^ s1;
z1z4_z1z1 = gf4096_mul(z1, z4) ^ gf4096_mul(z1, z1);
z4_z3 = z4 ^ z3;
z2z4_z2z2 = gf4096_mul(z2, z4) ^ gf4096_mul(z2, z2);
s1z4_s2 = gf4096_mul(s1, z4) ^ s2;
z3z3z4_z3z3z3 = gf4096_mul(gf4096_mul(z3, z3), z4) ^ gf4096_mul(gf4096_mul(z3, z3), z3);
z1z1z4_z1z1z1 = gf4096_mul(gf4096_mul(z1, z1), z4) ^ gf4096_mul(gf4096_mul(z1, z1), z1);
z2z2z4_z2z2z2 = gf4096_mul(gf4096_mul(z2, z2), z4) ^ gf4096_mul(gf4096_mul(z2, z2), z2);
s2z4_s3 = gf4096_mul(s2, z4) ^ s3;
//find err pat 0,1
find_2x2_soln(gf4096_mul(z4_z1, z3z4_z3z3) ^
gf4096_mul(z1z4_z1z1, z4_z3), gf4096_mul(z4_z2,
z3z4_z3z3) ^
gf4096_mul(z2z4_z2z2, z4_z3), gf4096_mul(z1z4_z1z1,
z3z3z4_z3z3z3) ^
gf4096_mul(z1z1z4_z1z1z1, z3z4_z3z3),
gf4096_mul(z2z4_z2z2,
z3z3z4_z3z3z3) ^ gf4096_mul(z2z2z4_z2z2z2,
z3z4_z3z3),
gf4096_mul(s0z4_s1, z3z4_z3z3) ^ gf4096_mul(s1z4_s2,
z4_z3),
gf4096_mul(s1z4_s2, z3z3z4_z3z3z3) ^ gf4096_mul(s2z4_s3, z3z4_z3z3), pats);
tmp0 = pats[0];
tmp1 = pats[1];
tmp2 = pats[0] ^ pats[1] ^ s0;
tmp3 = gf4096_mul(pats[0], z1) ^ gf4096_mul(pats[1], z2) ^ s1;
//find err pat 2,3
find_2x2_soln(0x1, 0x1, z3, z4, tmp2, tmp3, pats);
pats[2] = pats[0];
pats[3] = pats[1];
pats[0] = tmp0;
pats[1] = tmp1;
}
static void find_2x2_soln(unsigned short c00, unsigned short c01,
unsigned short c10, unsigned short c11,
unsigned short lval0, unsigned short lval1,
unsigned short *soln)
{
unsigned short m[2][3];
m[0][0] = c00;
m[0][1] = c01;
m[0][2] = lval0;
m[1][0] = c10;
m[1][1] = c11;
m[1][2] = lval1;
if (m[0][1] != 0x0) {
/* */
} else if (m[1][1] != 0x0) {
swap_2x3_rows(m);
} else {
printk(KERN_ERR "Warning: find_2bit_err_coefs, s0,s1 all zeros!\n");
}
solve_2x3(m, soln);
}
static void swap_2x3_rows(unsigned short m[2][3])
{
unsigned short tmp0;
int cnt;
for (cnt = 0; cnt < 3; cnt++) {
tmp0 = m[0][cnt];
m[0][cnt] = m[1][cnt];
m[1][cnt] = tmp0;
}
}
static void solve_2x3(unsigned short m[2][3], unsigned short *coefs)
{
unsigned short minv;
minv = gf4096_mul(m[1][1], gf4096_inv(m[0][1]));
m[1][0] = m[1][0] ^ gf4096_mul(m[0][0], minv);
m[1][2] = m[1][2] ^ gf4096_mul(m[0][2], minv);
coefs[0] = gf4096_mul(m[1][2], gf4096_inv(m[1][0]));
coefs[1] = gf4096_mul((gf4096_mul(coefs[0], m[0][0]) ^ m[0][2]), gf4096_inv(m[0][1]));
}
static unsigned char gf64_inv[64] = {
0, 1, 33, 62, 49, 43, 31, 44, 57, 37, 52, 28, 46, 40, 22, 25,
61, 54, 51, 39, 26, 35, 14, 24, 23, 15, 20, 34, 11, 53, 45, 6,
63, 2, 27, 21, 56, 9, 50, 19, 13, 47, 48, 5, 7, 30, 12, 41,
42, 4, 38, 18, 10, 29, 17, 60, 36, 8, 59, 58, 55, 16, 3, 32};
static unsigned short gf4096_inv(unsigned short din)
{
unsigned short alahxal, ah2B, deno, inv, bl, bh;
unsigned short ah, al, ahxal;
unsigned short dout;
ah = (din >> 6) & 0x3f;
al = din & 0x3f;
ahxal = ah ^ al;
ah2B = (((ah ^ (ah >> 3)) & 0x1) << 5) |
((ah >> 1) & 0x10) |
((((ah >> 5) ^ (ah >> 2)) & 0x1) << 3) |
((ah >> 2) & 0x4) | ((((ah >> 4) ^ (ah >> 1)) & 0x1) << 1) | (ah & 0x1);
alahxal = gf64_mul(ahxal, al);
deno = alahxal ^ ah2B;
inv = gf64_inv[deno];
bl = gf64_mul(inv, ahxal);
bh = gf64_mul(inv, ah);
dout = ((bh & 0x3f) << 6) | (bl & 0x3f);
return (((bh & 0x3f) << 6) | (bl & 0x3f));
}
static unsigned short err_pos_lut[4096] = {
0xfff, 0x000, 0x451, 0xfff, 0xfff, 0x3cf, 0xfff, 0x041,
0xfff, 0xfff, 0xfff, 0xfff, 0x28a, 0xfff, 0x492, 0xfff,
0x145, 0xfff, 0xfff, 0x514, 0xfff, 0x082, 0xfff, 0xfff,
0xfff, 0x249, 0x38e, 0x410, 0xfff, 0x104, 0x208, 0x1c7,
0xfff, 0xfff, 0xfff, 0xfff, 0x2cb, 0xfff, 0xfff, 0xfff,
0x0c3, 0x34d, 0x4d3, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x186, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x30c, 0x555, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x166, 0xfff, 0xfff, 0xfff, 0xfff,
0x385, 0x14e, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4e1,
0xfff, 0xfff, 0xfff, 0xfff, 0x538, 0xfff, 0x16d, 0xfff,
0xfff, 0xfff, 0x45b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x29c, 0x2cc, 0x30b, 0x2b3, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x0b3, 0xfff, 0x2f7,
0xfff, 0x32b, 0xfff, 0xfff, 0xfff, 0xfff, 0x0a7, 0xfff,
0xfff, 0x2da, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x07e, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x11c, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x22f, 0xfff, 0x1f4, 0xfff, 0xfff,
0x2b0, 0x504, 0xfff, 0x114, 0xfff, 0xfff, 0xfff, 0x21d,
0xfff, 0xfff, 0xfff, 0xfff, 0x00d, 0x3c4, 0x340, 0x10f,
0xfff, 0xfff, 0x266, 0x02e, 0xfff, 0xfff, 0xfff, 0x4f8,
0x337, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x07b, 0x168, 0xfff, 0xfff, 0x0fe,
0xfff, 0xfff, 0x51a, 0xfff, 0x458, 0xfff, 0x36d, 0xfff,
0xfff, 0xfff, 0xfff, 0x073, 0x37d, 0x415, 0x550, 0xfff,
0xfff, 0xfff, 0x23b, 0x4b4, 0xfff, 0xfff, 0xfff, 0x1a1,
0xfff, 0xfff, 0x3aa, 0xfff, 0x117, 0x04d, 0x341, 0xfff,
0xfff, 0xfff, 0xfff, 0x518, 0x03e, 0x0f2, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x363, 0xfff, 0x0b9, 0xfff, 0xfff,
0x241, 0xfff, 0xfff, 0x049, 0xfff, 0xfff, 0xfff, 0xfff,
0x15f, 0x52d, 0xfff, 0xfff, 0xfff, 0x29e, 0xfff, 0xfff,
0xfff, 0xfff, 0x4cf, 0x0fc, 0xfff, 0x36f, 0x3d3, 0xfff,
0x228, 0xfff, 0xfff, 0x45e, 0xfff, 0xfff, 0xfff, 0xfff,
0x238, 0xfff, 0xfff, 0xfff, 0xfff, 0x47f, 0xfff, 0xfff,
0x43a, 0x265, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x3e8,
0xfff, 0xfff, 0x01a, 0xfff, 0xfff, 0xfff, 0xfff, 0x21e,
0x1fc, 0x40b, 0xfff, 0xfff, 0xfff, 0x2d0, 0x159, 0xfff,
0xfff, 0x313, 0xfff, 0xfff, 0x05c, 0x4cc, 0xfff, 0xfff,
0x0f6, 0x3d5, 0xfff, 0xfff, 0xfff, 0x54f, 0xfff, 0xfff,
0xfff, 0x172, 0x1e4, 0x07c, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x53c, 0x1ad, 0x535,
0x19b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x092, 0xfff, 0x2be, 0xfff, 0xfff, 0x482,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x0e6, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x476, 0xfff, 0x51d, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x342, 0x2b5, 0x22e, 0x09a, 0xfff, 0x08d,
0x44f, 0x3ed, 0xfff, 0xfff, 0xfff, 0xfff, 0x3d1, 0xfff,
0xfff, 0x543, 0xfff, 0x48f, 0xfff, 0x3d2, 0xfff, 0x0d5,
0x113, 0x0ec, 0x427, 0xfff, 0xfff, 0xfff, 0x4c4, 0xfff,
0xfff, 0x50a, 0xfff, 0x144, 0xfff, 0x105, 0x39f, 0x294,
0x164, 0xfff, 0x31a, 0xfff, 0xfff, 0x49a, 0xfff, 0x130,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x1be, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x49e, 0x371, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x0e8, 0x49c, 0x0f4, 0xfff,
0x338, 0x1a7, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x36c, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x1ae, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x31b, 0xfff, 0xfff, 0x2dd, 0x522, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2f4,
0x3c6, 0x30d, 0xfff, 0xfff, 0xfff, 0xfff, 0x34c, 0x18f,
0x30a, 0xfff, 0x01f, 0x079, 0xfff, 0xfff, 0x54d, 0x46b,
0x28c, 0x37f, 0xfff, 0xfff, 0xfff, 0xfff, 0x355, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x14f, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x359, 0x3fe, 0x3c5, 0xfff, 0xfff,
0xfff, 0xfff, 0x423, 0xfff, 0xfff, 0x34a, 0x22c, 0xfff,
0x25a, 0xfff, 0xfff, 0x4ad, 0xfff, 0x28d, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x547, 0xfff, 0xfff, 0xfff, 0xfff,
0x2e2, 0xfff, 0xfff, 0x1d5, 0xfff, 0x2a8, 0xfff, 0xfff,
0x03f, 0xfff, 0xfff, 0xfff, 0xfff, 0x3eb, 0x0fa, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x55b, 0xfff,
0x08e, 0xfff, 0x3ae, 0xfff, 0x3a4, 0xfff, 0x282, 0x158,
0xfff, 0x382, 0xfff, 0xfff, 0x499, 0xfff, 0xfff, 0x08a,
0xfff, 0xfff, 0xfff, 0x456, 0x3be, 0xfff, 0x1e2, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x559, 0xfff, 0x1a0, 0xfff,
0xfff, 0x0b4, 0xfff, 0xfff, 0xfff, 0x2df, 0xfff, 0xfff,
0xfff, 0x07f, 0x4f5, 0xfff, 0xfff, 0x27c, 0x133, 0x017,
0xfff, 0x3fd, 0xfff, 0xfff, 0xfff, 0x44d, 0x4cd, 0x17a,
0x0d7, 0x537, 0xfff, 0xfff, 0x353, 0xfff, 0xfff, 0x351,
0x366, 0xfff, 0x44a, 0xfff, 0x1a6, 0xfff, 0xfff, 0xfff,
0x291, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x1e3,
0xfff, 0xfff, 0xfff, 0xfff, 0x389, 0xfff, 0x07a, 0xfff,
0x1b6, 0x2ed, 0xfff, 0xfff, 0xfff, 0xfff, 0x24e, 0x074,
0xfff, 0xfff, 0x3dc, 0xfff, 0x4e3, 0xfff, 0xfff, 0xfff,
0xfff, 0x4eb, 0xfff, 0xfff, 0x3b8, 0x4de, 0xfff, 0x19c,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x262,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x076, 0x4e8, 0x3da,
0xfff, 0x531, 0xfff, 0xfff, 0x14a, 0xfff, 0x0a2, 0x433,
0x3df, 0x1e9, 0xfff, 0xfff, 0xfff, 0xfff, 0x3e7, 0x285,
0x2d8, 0xfff, 0xfff, 0xfff, 0x349, 0x18d, 0x098, 0xfff,
0x0df, 0x4bf, 0xfff, 0xfff, 0x0b2, 0xfff, 0x346, 0x24d,
0xfff, 0xfff, 0xfff, 0x24f, 0x4fa, 0x2f9, 0xfff, 0xfff,
0x3c9, 0xfff, 0x2b4, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x056, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x179, 0xfff, 0x0e9, 0x3f0, 0x33d, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x1fd, 0xfff, 0xfff, 0x526, 0xfff,
0xfff, 0xfff, 0x53d, 0xfff, 0xfff, 0xfff, 0x170, 0x331,
0xfff, 0x068, 0xfff, 0xfff, 0xfff, 0x3f7, 0xfff, 0x3d8,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x09f, 0x556, 0xfff, 0xfff, 0x02d, 0xfff, 0xfff,
0x553, 0xfff, 0xfff, 0xfff, 0x1f0, 0xfff, 0xfff, 0x4d6,
0x41e, 0xfff, 0xfff, 0xfff, 0xfff, 0x4d5, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x248, 0xfff, 0xfff, 0xfff, 0x0a3,
0xfff, 0x217, 0xfff, 0xfff, 0xfff, 0x4f1, 0x209, 0xfff,
0xfff, 0x475, 0x234, 0x52b, 0x398, 0xfff, 0x08b, 0xfff,
0xfff, 0xfff, 0xfff, 0x2c2, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x268, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x4a3, 0xfff, 0x0aa, 0xfff, 0x1d9, 0xfff, 0xfff,
0xfff, 0xfff, 0x155, 0xfff, 0xfff, 0xfff, 0xfff, 0x0bf,
0x539, 0xfff, 0xfff, 0x2f1, 0x545, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x2a7, 0x06f, 0xfff, 0x378, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x25e, 0xfff,
0xfff, 0xfff, 0xfff, 0x15d, 0x02a, 0xfff, 0xfff, 0x0bc,
0x235, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x150, 0xfff, 0x1a9, 0xfff, 0xfff, 0xfff, 0xfff, 0x381,
0xfff, 0x04e, 0x270, 0x13f, 0xfff, 0xfff, 0x405, 0xfff,
0x3cd, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x2ef, 0xfff, 0x06a, 0xfff, 0xfff, 0xfff, 0x34f,
0x212, 0xfff, 0xfff, 0x0e2, 0xfff, 0x083, 0x298, 0xfff,
0xfff, 0xfff, 0x0c2, 0xfff, 0xfff, 0x52e, 0xfff, 0x488,
0xfff, 0xfff, 0xfff, 0x36b, 0xfff, 0xfff, 0xfff, 0x442,
0x091, 0xfff, 0x41c, 0xfff, 0xfff, 0x3a5, 0xfff, 0x4e6,
0xfff, 0xfff, 0x40d, 0x31d, 0xfff, 0xfff, 0xfff, 0x4c1,
0x053, 0xfff, 0x418, 0x13c, 0xfff, 0x350, 0xfff, 0x0ae,
0xfff, 0xfff, 0x41f, 0xfff, 0x470, 0xfff, 0x4ca, 0xfff,
0xfff, 0xfff, 0x02b, 0x450, 0xfff, 0x1f8, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x293, 0xfff,
0xfff, 0xfff, 0xfff, 0x411, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x0b8, 0xfff, 0xfff, 0xfff,
0x3e1, 0xfff, 0xfff, 0xfff, 0xfff, 0x43c, 0xfff, 0x2b2,
0x2ab, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x1ec,
0xfff, 0xfff, 0xfff, 0x3f8, 0x034, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x11a, 0xfff, 0x541, 0x45c, 0x134,
0x1cc, 0xfff, 0xfff, 0xfff, 0x469, 0xfff, 0xfff, 0x44b,
0x161, 0xfff, 0xfff, 0xfff, 0x055, 0xfff, 0xfff, 0xfff,
0xfff, 0x307, 0xfff, 0xfff, 0xfff, 0xfff, 0x2d1, 0xfff,
0xfff, 0xfff, 0x124, 0x37b, 0x26b, 0x336, 0xfff, 0xfff,
0x2e4, 0x3cb, 0xfff, 0xfff, 0x0f8, 0x3c8, 0xfff, 0xfff,
0xfff, 0x461, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4b5,
0x2cf, 0xfff, 0xfff, 0xfff, 0x20f, 0xfff, 0x35a, 0xfff,
0x490, 0xfff, 0x185, 0xfff, 0xfff, 0xfff, 0xfff, 0x42e,
0xfff, 0xfff, 0xfff, 0xfff, 0x54b, 0xfff, 0xfff, 0xfff,
0x146, 0xfff, 0x412, 0xfff, 0xfff, 0xfff, 0x1ff, 0xfff,
0xfff, 0x3e0, 0xfff, 0xfff, 0xfff, 0xfff, 0x2d5, 0xfff,
0x4df, 0x505, 0xfff, 0x413, 0xfff, 0x1a5, 0xfff, 0x3b2,
0xfff, 0xfff, 0xfff, 0x35b, 0xfff, 0x116, 0xfff, 0xfff,
0x171, 0x4d0, 0xfff, 0x154, 0x12d, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x468, 0x4db, 0xfff,
0xfff, 0x1df, 0xfff, 0xfff, 0xfff, 0xfff, 0x05a, 0xfff,
0x0f1, 0x403, 0xfff, 0x22b, 0x2e0, 0xfff, 0xfff, 0xfff,
0x2b7, 0x373, 0xfff, 0xfff, 0xfff, 0xfff, 0x13e, 0xfff,
0xfff, 0xfff, 0x0d0, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x329, 0x1d2, 0x3fa, 0x047, 0xfff, 0x2f2, 0xfff, 0xfff,
0x141, 0x0ac, 0x1d7, 0xfff, 0x07d, 0xfff, 0xfff, 0xfff,
0x1c1, 0xfff, 0x487, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x045, 0xfff, 0xfff, 0xfff, 0xfff,
0x288, 0x0cd, 0xfff, 0xfff, 0xfff, 0xfff, 0x226, 0x1d8,
0xfff, 0x153, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4cb,
0x528, 0xfff, 0xfff, 0xfff, 0x20a, 0x343, 0x3a1, 0xfff,
0xfff, 0xfff, 0x2d7, 0x2d3, 0x1aa, 0x4c5, 0xfff, 0xfff,
0xfff, 0x42b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x3e9, 0xfff, 0x20b, 0x260,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x37c, 0x2fd,
0xfff, 0xfff, 0x2c8, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x31e, 0xfff, 0x335, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x135, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x35c, 0x4dd, 0x129, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x1ef, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x34e, 0xfff, 0xfff, 0xfff, 0xfff, 0x407, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x3ad, 0xfff, 0xfff, 0xfff,
0x379, 0xfff, 0xfff, 0x1d0, 0x38d, 0xfff, 0xfff, 0x1e8,
0x184, 0x3c1, 0x1c4, 0xfff, 0x1f9, 0xfff, 0xfff, 0x424,
0xfff, 0xfff, 0xfff, 0xfff, 0x1d3, 0x0d4, 0xfff, 0x4e9,
0xfff, 0xfff, 0xfff, 0x530, 0x107, 0xfff, 0x106, 0x04f,
0xfff, 0xfff, 0x4c7, 0x503, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x15c, 0xfff, 0x23f, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x4f3, 0xfff, 0xfff, 0x3c7,
0xfff, 0x278, 0xfff, 0xfff, 0x0a6, 0xfff, 0xfff, 0xfff,
0x122, 0x1cf, 0xfff, 0x327, 0xfff, 0x2e5, 0xfff, 0x29d,
0xfff, 0xfff, 0x3f1, 0xfff, 0xfff, 0x48d, 0xfff, 0xfff,
0xfff, 0xfff, 0x054, 0xfff, 0xfff, 0xfff, 0xfff, 0x178,
0x27e, 0x4e0, 0x352, 0x02f, 0x09c, 0xfff, 0x2a0, 0xfff,
0xfff, 0x46a, 0x457, 0xfff, 0xfff, 0x501, 0xfff, 0x2ba,
0xfff, 0xfff, 0xfff, 0x54e, 0x2e7, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x551, 0xfff, 0xfff, 0x1db, 0x2aa, 0xfff,
0xfff, 0x4bc, 0xfff, 0xfff, 0x395, 0xfff, 0x0de, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x455, 0xfff, 0x17e,
0xfff, 0x221, 0x4a7, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x388, 0xfff, 0xfff, 0xfff, 0x308, 0xfff, 0xfff, 0xfff,
0x20e, 0x4b9, 0xfff, 0x273, 0x20c, 0x09e, 0xfff, 0x057,
0xfff, 0xfff, 0xfff, 0xfff, 0x3f2, 0xfff, 0x1a8, 0x3a6,
0x14c, 0xfff, 0xfff, 0x071, 0xfff, 0xfff, 0x53a, 0xfff,
0xfff, 0xfff, 0xfff, 0x109, 0xfff, 0xfff, 0x399, 0xfff,
0x061, 0x4f0, 0x39e, 0x244, 0xfff, 0x035, 0xfff, 0xfff,
0x305, 0x47e, 0x297, 0xfff, 0xfff, 0x2b8, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x1bc, 0xfff, 0x2fc,
0xfff, 0xfff, 0x554, 0xfff, 0xfff, 0xfff, 0xfff, 0x3b6,
0xfff, 0xfff, 0xfff, 0x515, 0x397, 0xfff, 0xfff, 0x12f,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4e5,
0xfff, 0x4fc, 0xfff, 0xfff, 0x05e, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x0a8, 0x3af, 0x015, 0xfff, 0xfff, 0xfff,
0xfff, 0x138, 0xfff, 0xfff, 0xfff, 0x540, 0xfff, 0xfff,
0xfff, 0x027, 0x523, 0x2f0, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x16c, 0xfff, 0x27d, 0xfff, 0xfff, 0xfff,
0xfff, 0x04c, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4dc,
0xfff, 0xfff, 0x059, 0x301, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x1a3, 0xfff, 0x15a, 0xfff, 0xfff,
0x0a5, 0xfff, 0x435, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x051, 0xfff, 0xfff, 0x131, 0xfff, 0x4f4, 0xfff,
0xfff, 0xfff, 0xfff, 0x441, 0xfff, 0x4fb, 0xfff, 0x03b,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x1ed, 0x274,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x0d3, 0x55e, 0x1b3,
0xfff, 0x0bd, 0xfff, 0xfff, 0xfff, 0xfff, 0x225, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x4b7, 0xfff, 0xfff, 0x2ff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4c3, 0xfff,
0x383, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2f6,
0xfff, 0xfff, 0x1ee, 0xfff, 0x03d, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x26f, 0x1dc, 0xfff, 0x0db, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x0ce, 0xfff, 0xfff, 0x127, 0x03a,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x311, 0xfff,
0xfff, 0x13d, 0x09d, 0x47b, 0x2a6, 0x50d, 0x510, 0x19a,
0xfff, 0x354, 0x414, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x44c, 0x3b0, 0xfff, 0x23d, 0x429, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x4c0, 0x416, 0xfff, 0x05b, 0xfff, 0xfff, 0x137, 0xfff,
0x25f, 0x49f, 0xfff, 0x279, 0x013, 0xfff, 0xfff, 0xfff,
0x269, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x3d0, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x077, 0xfff, 0xfff, 0x3fb,
0xfff, 0xfff, 0xfff, 0xfff, 0x271, 0x3a0, 0xfff, 0xfff,
0x40f, 0xfff, 0xfff, 0x3de, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x1ab, 0x26a,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x489, 0xfff, 0xfff,
0x252, 0xfff, 0xfff, 0xfff, 0xfff, 0x1b7, 0x42f, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x3b7,
0xfff, 0x2bb, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x0f7, 0x01d, 0xfff, 0x067, 0xfff,
0xfff, 0xfff, 0xfff, 0x4e2, 0xfff, 0xfff, 0x4bb, 0xfff,
0xfff, 0xfff, 0x17b, 0xfff, 0x0ee, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x36e, 0xfff, 0xfff, 0xfff, 0x533, 0xfff,
0xfff, 0xfff, 0x4d4, 0x356, 0xfff, 0xfff, 0x375, 0xfff,
0xfff, 0xfff, 0xfff, 0x4a4, 0x513, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4ff, 0xfff, 0x2af,
0xfff, 0xfff, 0x026, 0xfff, 0x0ad, 0xfff, 0xfff, 0xfff,
0xfff, 0x26e, 0xfff, 0xfff, 0xfff, 0xfff, 0x493, 0xfff,
0x463, 0x4d2, 0x4be, 0xfff, 0xfff, 0xfff, 0xfff, 0x4f2,
0x0b6, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x32d, 0x315, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x13a, 0x4a1, 0xfff, 0x27a, 0xfff, 0xfff, 0xfff,
0x47a, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x334, 0xfff, 0xfff, 0xfff, 0xfff, 0x54c, 0xfff, 0xfff,
0xfff, 0x0c9, 0x007, 0xfff, 0xfff, 0x12e, 0xfff, 0x0ff,
0xfff, 0xfff, 0x3f5, 0x509, 0xfff, 0xfff, 0xfff, 0xfff,
0x1c3, 0x2ad, 0xfff, 0xfff, 0x47c, 0x261, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x152, 0xfff, 0xfff, 0xfff, 0x339,
0xfff, 0x243, 0x1c0, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x063, 0xfff, 0xfff, 0x254, 0xfff, 0xfff, 0x173, 0xfff,
0x0c7, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x362, 0x259, 0x485, 0x374, 0x0dc, 0x3ab, 0xfff,
0x1c5, 0x534, 0x544, 0xfff, 0xfff, 0x508, 0xfff, 0x402,
0x408, 0xfff, 0x0e7, 0xfff, 0xfff, 0x00a, 0x205, 0xfff,
0xfff, 0x2b9, 0xfff, 0xfff, 0xfff, 0x465, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x23a, 0xfff, 0xfff, 0xfff,
0xfff, 0x147, 0x19d, 0x115, 0x214, 0xfff, 0x090, 0x368,
0xfff, 0x210, 0xfff, 0xfff, 0x280, 0x52a, 0x163, 0x148,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x326, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x2de, 0xfff, 0xfff, 0xfff, 0xfff,
0x206, 0x2c1, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x189, 0xfff, 0xfff, 0xfff, 0xfff, 0x367, 0xfff, 0x1a4,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x443, 0xfff, 0x27b,
0xfff, 0xfff, 0x251, 0x549, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x188, 0x04b, 0xfff, 0xfff, 0xfff, 0x31f,
0x4a6, 0xfff, 0x246, 0x1de, 0x156, 0xfff, 0xfff, 0xfff,
0x3a9, 0xfff, 0xfff, 0xfff, 0x2fa, 0xfff, 0x128, 0x0d1,
0x449, 0x255, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x258, 0xfff, 0xfff, 0xfff,
0x532, 0xfff, 0xfff, 0xfff, 0x303, 0x517, 0xfff, 0xfff,
0x2a9, 0x24a, 0xfff, 0xfff, 0x231, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x4b6, 0x516, 0xfff, 0xfff, 0x0e4, 0x0eb,
0xfff, 0x4e4, 0xfff, 0x275, 0xfff, 0xfff, 0x031, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x025, 0x21a, 0xfff, 0x0cc,
0x45f, 0x3d9, 0x289, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x23e, 0xfff, 0xfff, 0xfff, 0x438, 0x097,
0x419, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x0a9, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x37e, 0x0e0, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x431,
0x372, 0xfff, 0xfff, 0xfff, 0x1ba, 0x06e, 0xfff, 0x1b1,
0xfff, 0xfff, 0x12a, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x193, 0xfff, 0xfff, 0xfff, 0xfff, 0x10a,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x048, 0x1b4,
0xfff, 0xfff, 0xfff, 0xfff, 0x295, 0x140, 0x108, 0xfff,
0xfff, 0xfff, 0xfff, 0x16f, 0xfff, 0x0a4, 0x37a, 0xfff,
0x29a, 0xfff, 0x284, 0xfff, 0xfff, 0xfff, 0xfff, 0x4c6,
0x2a2, 0x3a3, 0xfff, 0x201, 0xfff, 0xfff, 0xfff, 0x4bd,
0x005, 0x54a, 0x3b5, 0x204, 0x2ee, 0x11d, 0x436, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x3ec, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x11f, 0x498, 0x21c, 0xfff,
0xfff, 0xfff, 0x3d6, 0xfff, 0x4ab, 0xfff, 0x432, 0x2eb,
0x542, 0x4fd, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x4ce, 0xfff, 0xfff, 0x2fb, 0xfff,
0xfff, 0x2e1, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x1b9, 0x037, 0x0dd,
0xfff, 0xfff, 0xfff, 0x2bf, 0x521, 0x496, 0x095, 0xfff,
0xfff, 0x328, 0x070, 0x1bf, 0xfff, 0x393, 0xfff, 0xfff,
0x102, 0xfff, 0xfff, 0x21b, 0xfff, 0x142, 0x263, 0x519,
0xfff, 0x2a5, 0x177, 0xfff, 0x14d, 0x471, 0x4ae, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x1f6, 0xfff, 0x481, 0xfff, 0xfff, 0xfff, 0x151, 0xfff,
0xfff, 0xfff, 0x085, 0x33f, 0xfff, 0xfff, 0xfff, 0x084,
0xfff, 0xfff, 0xfff, 0x345, 0x3a2, 0xfff, 0xfff, 0x0a0,
0x0da, 0x024, 0xfff, 0xfff, 0xfff, 0x1bd, 0xfff, 0x55c,
0x467, 0x445, 0xfff, 0xfff, 0xfff, 0x052, 0xfff, 0xfff,
0xfff, 0xfff, 0x51e, 0xfff, 0xfff, 0x39d, 0xfff, 0x35f,
0xfff, 0x376, 0x3ee, 0xfff, 0xfff, 0xfff, 0xfff, 0x448,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x16a,
0xfff, 0x036, 0x38f, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x211,
0xfff, 0xfff, 0xfff, 0x230, 0xfff, 0xfff, 0x3ba, 0xfff,
0xfff, 0xfff, 0x3ce, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x229, 0xfff, 0x176, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x00b, 0xfff, 0x162, 0x018, 0xfff,
0xfff, 0x233, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x400, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x12b, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x3f4, 0xfff, 0x0f0, 0xfff, 0x1ac, 0xfff, 0xfff,
0x119, 0xfff, 0x2c0, 0xfff, 0xfff, 0xfff, 0x49b, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x23c, 0xfff,
0x4b3, 0x010, 0x064, 0xfff, 0xfff, 0x4ba, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x3c2, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x006, 0x196, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x100, 0x191, 0xfff,
0x1ea, 0x29f, 0xfff, 0xfff, 0xfff, 0x276, 0xfff, 0xfff,
0x2b1, 0x3b9, 0xfff, 0x03c, 0xfff, 0xfff, 0xfff, 0x180,
0xfff, 0x08f, 0xfff, 0xfff, 0x19e, 0x019, 0xfff, 0x0b0,
0x0fd, 0x332, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x06b, 0x2e8, 0xfff, 0x446, 0xfff, 0xfff, 0x004,
0x247, 0x197, 0xfff, 0x112, 0x169, 0x292, 0xfff, 0x302,
0xfff, 0xfff, 0x33b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x287, 0x21f, 0xfff, 0x3ea, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x4e7, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x3a8, 0xfff, 0xfff, 0x2bc, 0xfff,
0x484, 0x296, 0xfff, 0x1c9, 0x08c, 0x1e5, 0x48a, 0xfff,
0x360, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x1ca, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x10d, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x066, 0x2ea, 0x28b, 0x25b, 0xfff, 0x072,
0xfff, 0xfff, 0xfff, 0xfff, 0x2b6, 0xfff, 0xfff, 0x272,
0xfff, 0xfff, 0x525, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x2ca, 0xfff, 0xfff, 0xfff, 0x299, 0xfff, 0xfff, 0xfff,
0x558, 0x41a, 0xfff, 0x4f7, 0x557, 0xfff, 0x4a0, 0x344,
0x12c, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x125,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x40e, 0xfff, 0xfff, 0x502, 0xfff, 0x103, 0x3e6, 0xfff,
0x527, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x45d, 0xfff, 0xfff, 0xfff, 0xfff,
0x44e, 0xfff, 0xfff, 0xfff, 0xfff, 0x0d2, 0x4c9, 0x35e,
0x459, 0x2d9, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x17d,
0x0c4, 0xfff, 0xfff, 0xfff, 0x3ac, 0x390, 0x094, 0xfff,
0x483, 0x0ab, 0xfff, 0x253, 0xfff, 0x391, 0xfff, 0xfff,
0xfff, 0xfff, 0x123, 0x0ef, 0xfff, 0xfff, 0xfff, 0x330,
0x38c, 0xfff, 0xfff, 0x2ae, 0xfff, 0xfff, 0xfff, 0x042,
0x012, 0x06d, 0xfff, 0xfff, 0xfff, 0x32a, 0x3db, 0x364,
0x2dc, 0xfff, 0x30f, 0x3d7, 0x4a5, 0x050, 0xfff, 0xfff,
0x029, 0xfff, 0xfff, 0xfff, 0xfff, 0x1d1, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x480, 0xfff,
0x4ed, 0x081, 0x0a1, 0xfff, 0xfff, 0xfff, 0x30e, 0x52f,
0x257, 0xfff, 0xfff, 0x447, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x401, 0x3cc, 0xfff, 0xfff, 0x0fb,
0x2c9, 0x42a, 0x314, 0x33e, 0x3bd, 0x318, 0xfff, 0x10e,
0x2a1, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x24c,
0x506, 0xfff, 0x267, 0xfff, 0xfff, 0x219, 0xfff, 0x1eb,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x309, 0x3e2, 0x46c, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x384, 0xfff, 0xfff, 0xfff, 0xfff, 0x50c, 0xfff, 0x24b,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x038,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x194,
0x143, 0x3e3, 0xfff, 0xfff, 0xfff, 0x4c2, 0xfff, 0xfff,
0x0e1, 0x25c, 0xfff, 0x237, 0xfff, 0x1fe, 0xfff, 0xfff,
0xfff, 0x065, 0x2a4, 0xfff, 0x386, 0x55a, 0x11b, 0xfff,
0xfff, 0x192, 0xfff, 0x183, 0x00e, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x4b2, 0x18e, 0xfff, 0xfff, 0xfff,
0xfff, 0x486, 0x4ef, 0x0c6, 0x380, 0xfff, 0x4a8, 0xfff,
0x0c5, 0xfff, 0xfff, 0xfff, 0xfff, 0x093, 0x1b8, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2e6,
0xfff, 0x0f3, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x28e, 0xfff, 0x53b, 0x420, 0x22a, 0x33a, 0xfff, 0x387,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2a3, 0xfff, 0xfff,
0xfff, 0x428, 0x500, 0xfff, 0xfff, 0x120, 0x2c6, 0x290,
0x2f5, 0x0e3, 0xfff, 0x0b7, 0xfff, 0x319, 0x474, 0xfff,
0xfff, 0xfff, 0x529, 0x014, 0xfff, 0x41b, 0x40a, 0x18b,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x0d9,
0xfff, 0x38a, 0xfff, 0xfff, 0xfff, 0xfff, 0x1ce, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x3b1, 0xfff, 0xfff, 0x05d,
0x2c4, 0xfff, 0xfff, 0x4af, 0xfff, 0x030, 0xfff, 0xfff,
0x203, 0xfff, 0x277, 0x256, 0xfff, 0xfff, 0xfff, 0x4f9,
0xfff, 0x2c7, 0xfff, 0x466, 0x016, 0x1cd, 0xfff, 0x167,
0xfff, 0xfff, 0x0c8, 0xfff, 0x43d, 0xfff, 0xfff, 0x020,
0xfff, 0xfff, 0x232, 0x1cb, 0x1e0, 0xfff, 0xfff, 0x347,
0xfff, 0x478, 0xfff, 0x365, 0xfff, 0xfff, 0xfff, 0xfff,
0x358, 0xfff, 0x10b, 0xfff, 0x35d, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x452, 0x22d, 0xfff, 0xfff, 0x47d, 0xfff,
0x2f3, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x460, 0xfff,
0xfff, 0xfff, 0x50b, 0xfff, 0xfff, 0xfff, 0x2ec, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x4b1, 0x422, 0xfff, 0xfff,
0xfff, 0x2d4, 0xfff, 0x239, 0xfff, 0xfff, 0xfff, 0x439,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x491, 0x075, 0xfff, 0xfff, 0xfff, 0x06c, 0xfff,
0xfff, 0x0f9, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x139, 0xfff, 0x4f6, 0xfff, 0xfff, 0x409, 0xfff,
0xfff, 0x15b, 0xfff, 0xfff, 0x348, 0xfff, 0xfff, 0xfff,
0xfff, 0x4a2, 0x49d, 0xfff, 0x033, 0x175, 0xfff, 0x039,
0xfff, 0x312, 0x40c, 0xfff, 0xfff, 0x325, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x4aa, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0x165, 0x3bc, 0x48c, 0x310, 0x096,
0xfff, 0xfff, 0x250, 0x1a2, 0xfff, 0xfff, 0xfff, 0xfff,
0x20d, 0x2ac, 0xfff, 0xfff, 0x39b, 0xfff, 0x377, 0xfff,
0x512, 0x495, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x357, 0x4ea, 0xfff, 0xfff,
0xfff, 0xfff, 0x198, 0xfff, 0xfff, 0xfff, 0x434, 0x04a,
0xfff, 0xfff, 0xfff, 0xfff, 0x062, 0xfff, 0x1d6, 0x1c8,
0xfff, 0x1f3, 0x281, 0xfff, 0x462, 0xfff, 0xfff, 0xfff,
0x4b0, 0xfff, 0x207, 0xfff, 0xfff, 0xfff, 0xfff, 0x3dd,
0xfff, 0xfff, 0x55d, 0xfff, 0x552, 0x494, 0x1af, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x227, 0xfff, 0xfff, 0x069,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x43e,
0x0b5, 0xfff, 0x524, 0x2d2, 0xfff, 0xfff, 0xfff, 0x28f,
0xfff, 0x01b, 0x50e, 0xfff, 0xfff, 0x1bb, 0xfff, 0xfff,
0x41d, 0xfff, 0x32e, 0x48e, 0xfff, 0x1f7, 0x224, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x394, 0xfff, 0xfff, 0xfff,
0xfff, 0x52c, 0xfff, 0xfff, 0xfff, 0x392, 0xfff, 0x1e7,
0xfff, 0xfff, 0x3f9, 0x3a7, 0xfff, 0x51f, 0xfff, 0x0bb,
0x118, 0x3ca, 0xfff, 0x1dd, 0xfff, 0x48b, 0xfff, 0xfff,
0xfff, 0xfff, 0x50f, 0xfff, 0x0d6, 0xfff, 0x1fa, 0xfff,
0x11e, 0xfff, 0xfff, 0xfff, 0xfff, 0x4d7, 0xfff, 0x078,
0x008, 0xfff, 0x25d, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x032, 0x33c, 0xfff, 0x4d9, 0x160, 0xfff, 0xfff, 0x300,
0x0b1, 0xfff, 0x322, 0xfff, 0x4ec, 0xfff, 0xfff, 0x200,
0x00c, 0x369, 0x473, 0xfff, 0xfff, 0x32c, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x53e, 0x3d4, 0x417, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x34b, 0x001, 0x39a, 0x02c, 0xfff, 0xfff, 0x2ce, 0x00f,
0xfff, 0x0ba, 0xfff, 0xfff, 0xfff, 0xfff, 0x060, 0xfff,
0x406, 0xfff, 0xfff, 0xfff, 0x4ee, 0x4ac, 0xfff, 0x43f,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x29b, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x216,
0x190, 0xfff, 0x396, 0x464, 0xfff, 0xfff, 0x323, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x2e9, 0xfff, 0x26d,
0x2cd, 0x040, 0xfff, 0xfff, 0xfff, 0xfff, 0x38b, 0x3c0,
0xfff, 0xfff, 0xfff, 0x1f2, 0xfff, 0x0ea, 0xfff, 0xfff,
0x472, 0xfff, 0x1fb, 0xfff, 0xfff, 0x0af, 0x27f, 0xfff,
0xfff, 0xfff, 0x479, 0x023, 0xfff, 0x0d8, 0x3b3, 0xfff,
0xfff, 0xfff, 0x121, 0xfff, 0xfff, 0x3bf, 0xfff, 0xfff,
0x16b, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x45a, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0x0be, 0xfff, 0xfff, 0xfff, 0x111, 0xfff, 0x220,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0x09b, 0x218, 0xfff, 0x022, 0x202, 0xfff,
0x4c8, 0xfff, 0x0ed, 0xfff, 0xfff, 0x182, 0xfff, 0xfff,
0xfff, 0x17f, 0x213, 0xfff, 0x321, 0x36a, 0xfff, 0x086,
0xfff, 0xfff, 0xfff, 0x43b, 0x088, 0xfff, 0xfff, 0xfff,
0xfff, 0x26c, 0xfff, 0x2f8, 0x3b4, 0xfff, 0xfff, 0xfff,
0x132, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x333, 0x444,
0x0c1, 0x4d8, 0x46d, 0x264, 0xfff, 0xfff, 0xfff, 0xfff,
0x426, 0xfff, 0xfff, 0xfff, 0xfff, 0x2fe, 0xfff, 0xfff,
0xfff, 0xfff, 0x011, 0xfff, 0x05f, 0xfff, 0xfff, 0xfff,
0xfff, 0x10c, 0x101, 0xfff, 0xfff, 0xfff, 0xfff, 0x110,
0xfff, 0x044, 0x304, 0x361, 0x404, 0xfff, 0x51b, 0x099,
0xfff, 0x440, 0xfff, 0xfff, 0xfff, 0x222, 0xfff, 0xfff,
0xfff, 0xfff, 0x1b5, 0xfff, 0x136, 0x430, 0xfff, 0x1da,
0xfff, 0xfff, 0xfff, 0x043, 0xfff, 0x17c, 0xfff, 0xfff,
0xfff, 0x01c, 0xfff, 0xfff, 0xfff, 0x425, 0x236, 0xfff,
0x317, 0xfff, 0xfff, 0x437, 0x3fc, 0xfff, 0x1f1, 0xfff,
0x324, 0xfff, 0xfff, 0x0ca, 0x306, 0xfff, 0x548, 0xfff,
0x46e, 0xfff, 0xfff, 0xfff, 0x4b8, 0x1c2, 0x286, 0xfff,
0xfff, 0x087, 0x18a, 0x19f, 0xfff, 0xfff, 0xfff, 0xfff,
0x18c, 0xfff, 0x215, 0xfff, 0xfff, 0xfff, 0xfff, 0x283,
0xfff, 0xfff, 0xfff, 0x126, 0xfff, 0xfff, 0x370, 0xfff,
0x53f, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0x31c, 0xfff,
0x4d1, 0xfff, 0xfff, 0xfff, 0x021, 0xfff, 0x157, 0xfff,
0xfff, 0x028, 0x16e, 0xfff, 0x421, 0xfff, 0x1c6, 0xfff,
0xfff, 0x511, 0xfff, 0xfff, 0x39c, 0x46f, 0x1b2, 0xfff,
0xfff, 0x316, 0xfff, 0xfff, 0x009, 0xfff, 0xfff, 0x195,
0xfff, 0x240, 0x546, 0xfff, 0xfff, 0x520, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x454, 0xfff, 0xfff, 0xfff,
0x3f3, 0xfff, 0xfff, 0x187, 0xfff, 0x4a9, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x51c, 0x453, 0x1e6, 0xfff,
0xfff, 0xfff, 0x1b0, 0xfff, 0x477, 0xfff, 0xfff, 0xfff,
0x4fe, 0xfff, 0x32f, 0xfff, 0xfff, 0x15e, 0x1d4, 0xfff,
0x0e5, 0xfff, 0xfff, 0xfff, 0x242, 0x14b, 0x046, 0xfff,
0x3f6, 0x3bb, 0x3e4, 0xfff, 0xfff, 0x2e3, 0xfff, 0x245,
0xfff, 0x149, 0xfff, 0xfff, 0xfff, 0x2db, 0xfff, 0xfff,
0x181, 0xfff, 0x089, 0x2c5, 0xfff, 0x1f5, 0xfff, 0x2d6,
0x507, 0xfff, 0x42d, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0x080, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff, 0xfff,
0xfff, 0xfff, 0xfff, 0xfff, 0x3c3, 0x320, 0xfff, 0x1e1,
0xfff, 0x0f5, 0x13b, 0xfff, 0xfff, 0xfff, 0x003, 0x4da,
0xfff, 0xfff, 0xfff, 0x42c, 0xfff, 0xfff, 0x0cb, 0xfff,
0x536, 0x2c3, 0xfff, 0xfff, 0xfff, 0xfff, 0x199, 0xfff,
0xfff, 0x0c0, 0xfff, 0x01e, 0x497, 0xfff, 0xfff, 0x3e5,
0xfff, 0xfff, 0xfff, 0x0cf, 0xfff, 0x2bd, 0xfff, 0x223,
0xfff, 0x3ff, 0xfff, 0x058, 0x174, 0x3ef, 0xfff, 0x002
};
static unsigned short err_pos(unsigned short din)
{
BUG_ON(din > 4096);
BUG_ON(err_pos_lut[din] == 0xfff);
return err_pos_lut[din];
}
static int chk_no_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
{
if ((chk_syndrome_list[0] | chk_syndrome_list[1] |
chk_syndrome_list[2] | chk_syndrome_list[3] |
chk_syndrome_list[4] | chk_syndrome_list[5] |
chk_syndrome_list[6] | chk_syndrome_list[7]) != 0x0) {
return -EINVAL;
} else {
err_info[0] = 0x0;
return 0;
}
}
static int chk_1_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
{
unsigned short tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6;
tmp0 = gf4096_mul(chk_syndrome_list[1], gf4096_inv(chk_syndrome_list[0]));
tmp1 = gf4096_mul(chk_syndrome_list[2], gf4096_inv(chk_syndrome_list[1]));
tmp2 = gf4096_mul(chk_syndrome_list[3], gf4096_inv(chk_syndrome_list[2]));
tmp3 = gf4096_mul(chk_syndrome_list[4], gf4096_inv(chk_syndrome_list[3]));
tmp4 = gf4096_mul(chk_syndrome_list[5], gf4096_inv(chk_syndrome_list[4]));
tmp5 = gf4096_mul(chk_syndrome_list[6], gf4096_inv(chk_syndrome_list[5]));
tmp6 = gf4096_mul(chk_syndrome_list[7], gf4096_inv(chk_syndrome_list[6]));
if ((tmp0 == tmp1) & (tmp1 == tmp2) & (tmp2 == tmp3) & (tmp3 == tmp4) & (tmp4 == tmp5) & (tmp5 == tmp6)) {
err_info[0] = 0x1; // encode 1-symbol error as 0x1
err_info[1] = err_pos(tmp0);
err_info[1] = (unsigned short)(0x55e - err_info[1]);
err_info[5] = chk_syndrome_list[0];
return 0;
} else
return -EINVAL;
}
static int chk_2_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
{
unsigned short tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
unsigned short coefs[4];
unsigned short err_pats[4];
int found_num_root = 0;
unsigned short bit2_root0, bit2_root1;
unsigned short bit2_root0_inv, bit2_root1_inv;
unsigned short err_loc_eqn, test_root;
unsigned short bit2_loc0, bit2_loc1;
unsigned short bit2_pat0, bit2_pat1;
find_2x2_soln(chk_syndrome_list[1],
chk_syndrome_list[0],
chk_syndrome_list[2], chk_syndrome_list[1], chk_syndrome_list[2], chk_syndrome_list[3], coefs);
for (test_root = 0x1; test_root < 0xfff; test_root++) {
err_loc_eqn =
gf4096_mul(coefs[1], gf4096_mul(test_root, test_root)) ^ gf4096_mul(coefs[0], test_root) ^ 0x1;
if (err_loc_eqn == 0x0) {
if (found_num_root == 0) {
bit2_root0 = test_root;
found_num_root = 1;
} else if (found_num_root == 1) {
bit2_root1 = test_root;
found_num_root = 2;
break;
}
}
}
if (found_num_root != 2)
return -EINVAL;
else {
bit2_root0_inv = gf4096_inv(bit2_root0);
bit2_root1_inv = gf4096_inv(bit2_root1);
find_2bit_err_pats(chk_syndrome_list[0],
chk_syndrome_list[1], bit2_root0_inv, bit2_root1_inv, err_pats);
bit2_pat0 = err_pats[0];
bit2_pat1 = err_pats[1];
//for(x+1)
tmp0 = gf4096_mul(gf4096_mul(bit2_root0_inv, bit2_root0_inv), gf4096_mul(bit2_root0_inv, bit2_root0_inv)); //rinv0^4
tmp1 = gf4096_mul(bit2_root0_inv, tmp0); //rinv0^5
tmp2 = gf4096_mul(bit2_root0_inv, tmp1); //rinv0^6
tmp3 = gf4096_mul(bit2_root0_inv, tmp2); //rinv0^7
tmp4 = gf4096_mul(gf4096_mul(bit2_root1_inv, bit2_root1_inv), gf4096_mul(bit2_root1_inv, bit2_root1_inv)); //rinv1^4
tmp5 = gf4096_mul(bit2_root1_inv, tmp4); //rinv1^5
tmp6 = gf4096_mul(bit2_root1_inv, tmp5); //rinv1^6
tmp7 = gf4096_mul(bit2_root1_inv, tmp6); //rinv1^7
//check if only 2-bit error
if ((chk_syndrome_list[4] ==
(gf4096_mul(bit2_pat0, tmp0) ^
gf4096_mul(bit2_pat1,
tmp4))) & (chk_syndrome_list[5] ==
(gf4096_mul(bit2_pat0, tmp1) ^
gf4096_mul(bit2_pat1,
tmp5))) &
(chk_syndrome_list[6] ==
(gf4096_mul(bit2_pat0, tmp2) ^
gf4096_mul(bit2_pat1,
tmp6))) & (chk_syndrome_list[7] ==
(gf4096_mul(bit2_pat0, tmp3) ^ gf4096_mul(bit2_pat1, tmp7)))) {
if ((err_pos(bit2_root0_inv) == 0xfff) | (err_pos(bit2_root1_inv) == 0xfff)) {
return -EINVAL;
} else {
bit2_loc0 = 0x55e - err_pos(bit2_root0_inv);
bit2_loc1 = 0x55e - err_pos(bit2_root1_inv);
err_info[0] = 0x2; // encode 2-symbol error as 0x2
err_info[1] = bit2_loc0;
err_info[2] = bit2_loc1;
err_info[5] = bit2_pat0;
err_info[6] = bit2_pat1;
return 0;
}
} else
return -EINVAL;
}
}
static int chk_3_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
{
unsigned short tmp0, tmp1, tmp2, tmp3, tmp4, tmp5;
unsigned short coefs[4];
unsigned short err_pats[4];
int found_num_root = 0;
unsigned short bit3_root0, bit3_root1, bit3_root2;
unsigned short bit3_root0_inv, bit3_root1_inv, bit3_root2_inv;
unsigned short err_loc_eqn, test_root;
find_3bit_err_coefs(chk_syndrome_list[0], chk_syndrome_list[1],
chk_syndrome_list[2], chk_syndrome_list[3],
chk_syndrome_list[4], chk_syndrome_list[5], coefs);
for (test_root = 0x1; test_root < 0xfff; test_root++) {
err_loc_eqn = gf4096_mul(coefs[2],
gf4096_mul(gf4096_mul(test_root, test_root),
test_root)) ^ gf4096_mul(coefs[1], gf4096_mul(test_root, test_root))
^ gf4096_mul(coefs[0], test_root) ^ 0x1;
if (err_loc_eqn == 0x0) {
if (found_num_root == 0) {
bit3_root0 = test_root;
found_num_root = 1;
} else if (found_num_root == 1) {
bit3_root1 = test_root;
found_num_root = 2;
} else if (found_num_root == 2) {
bit3_root2 = test_root;
found_num_root = 3;
break;
}
}
}
if (found_num_root != 3)
return -EINVAL;
else {
bit3_root0_inv = gf4096_inv(bit3_root0);
bit3_root1_inv = gf4096_inv(bit3_root1);
bit3_root2_inv = gf4096_inv(bit3_root2);
find_3bit_err_pats(chk_syndrome_list[0], chk_syndrome_list[1],
chk_syndrome_list[2], bit3_root0_inv,
bit3_root1_inv, bit3_root2_inv, err_pats);
//check if only 3-bit error
tmp0 = gf4096_mul(bit3_root0_inv, bit3_root0_inv);
tmp0 = gf4096_mul(tmp0, tmp0);
tmp0 = gf4096_mul(tmp0, bit3_root0_inv);
tmp0 = gf4096_mul(tmp0, bit3_root0_inv); //rinv0^6
tmp1 = gf4096_mul(tmp0, bit3_root0_inv); //rinv0^7
tmp2 = gf4096_mul(bit3_root1_inv, bit3_root1_inv);
tmp2 = gf4096_mul(tmp2, tmp2);
tmp2 = gf4096_mul(tmp2, bit3_root1_inv);
tmp2 = gf4096_mul(tmp2, bit3_root1_inv); //rinv1^6
tmp3 = gf4096_mul(tmp2, bit3_root1_inv); //rinv1^7
tmp4 = gf4096_mul(bit3_root2_inv, bit3_root2_inv);
tmp4 = gf4096_mul(tmp4, tmp4);
tmp4 = gf4096_mul(tmp4, bit3_root2_inv);
tmp4 = gf4096_mul(tmp4, bit3_root2_inv); //rinv2^6
tmp5 = gf4096_mul(tmp4, bit3_root2_inv); //rinv2^7
//check if only 3 errors
if ((chk_syndrome_list[6] == (gf4096_mul(err_pats[0], tmp0) ^
gf4096_mul(err_pats[1], tmp2) ^
gf4096_mul(err_pats[2], tmp4))) &
(chk_syndrome_list[7] == (gf4096_mul(err_pats[0], tmp1) ^
gf4096_mul(err_pats[1], tmp3) ^ gf4096_mul(err_pats[2], tmp5)))) {
if ((err_pos(bit3_root0_inv) == 0xfff) |
(err_pos(bit3_root1_inv) == 0xfff) | (err_pos(bit3_root2_inv) == 0xfff)) {
return -EINVAL;
} else {
err_info[0] = 0x3;
err_info[1] = (0x55e - err_pos(bit3_root0_inv));
err_info[2] = (0x55e - err_pos(bit3_root1_inv));
err_info[3] = (0x55e - err_pos(bit3_root2_inv));
err_info[5] = err_pats[0];
err_info[6] = err_pats[1];
err_info[7] = err_pats[2];
return 0;
}
} else
return -EINVAL;
}
}
static int chk_4_err_only(unsigned short *chk_syndrome_list, unsigned short *err_info)
{
unsigned short coefs[4];
unsigned short err_pats[4];
int found_num_root = 0;
unsigned short bit4_root0, bit4_root1, bit4_root2, bit4_root3;
unsigned short bit4_root0_inv, bit4_root1_inv, bit4_root2_inv, bit4_root3_inv;
unsigned short err_loc_eqn, test_root;
find_4bit_err_coefs(chk_syndrome_list[0],
chk_syndrome_list[1],
chk_syndrome_list[2],
chk_syndrome_list[3],
chk_syndrome_list[4],
chk_syndrome_list[5], chk_syndrome_list[6], chk_syndrome_list[7], coefs);
for (test_root = 0x1; test_root < 0xfff; test_root++) {
err_loc_eqn =
gf4096_mul(coefs[3],
gf4096_mul(gf4096_mul
(gf4096_mul(test_root, test_root),
test_root),
test_root)) ^ gf4096_mul(coefs[2],
gf4096_mul
(gf4096_mul(test_root, test_root), test_root))
^ gf4096_mul(coefs[1], gf4096_mul(test_root, test_root)) ^ gf4096_mul(coefs[0], test_root)
^ 0x1;
if (err_loc_eqn == 0x0) {
if (found_num_root == 0) {
bit4_root0 = test_root;
found_num_root = 1;
} else if (found_num_root == 1) {
bit4_root1 = test_root;
found_num_root = 2;
} else if (found_num_root == 2) {
bit4_root2 = test_root;
found_num_root = 3;
} else {
found_num_root = 4;
bit4_root3 = test_root;
break;
}
}
}
if (found_num_root != 4) {
return -EINVAL;
} else {
bit4_root0_inv = gf4096_inv(bit4_root0);
bit4_root1_inv = gf4096_inv(bit4_root1);
bit4_root2_inv = gf4096_inv(bit4_root2);
bit4_root3_inv = gf4096_inv(bit4_root3);
find_4bit_err_pats(chk_syndrome_list[0],
chk_syndrome_list[1],
chk_syndrome_list[2],
chk_syndrome_list[3],
bit4_root0_inv, bit4_root1_inv, bit4_root2_inv, bit4_root3_inv, err_pats);
err_info[0] = 0x4;
err_info[1] = (0x55e - err_pos(bit4_root0_inv));
err_info[2] = (0x55e - err_pos(bit4_root1_inv));
err_info[3] = (0x55e - err_pos(bit4_root2_inv));
err_info[4] = (0x55e - err_pos(bit4_root3_inv));
err_info[5] = err_pats[0];
err_info[6] = err_pats[1];
err_info[7] = err_pats[2];
err_info[8] = err_pats[3];
return 0;
}
}
void correct_12bit_symbol(unsigned char *buf, unsigned short sym,
unsigned short val)
{
if (unlikely(sym > 1366)) {
printk(KERN_ERR "Error: symbol %d out of range; cannot correct\n", sym);
} else if (sym == 0) {
buf[0] ^= val;
} else if (sym & 1) {
buf[1+(3*(sym-1))/2] ^= (val >> 4);
buf[2+(3*(sym-1))/2] ^= ((val & 0xf) << 4);
} else {
buf[2+(3*(sym-2))/2] ^= (val >> 8);
buf[3+(3*(sym-2))/2] ^= (val & 0xff);
}
}
int cafe_correct_ecc(unsigned char *buf,
unsigned short *chk_syndrome_list)
{
unsigned short err_info[9];
int i;
if (chk_no_err_only(chk_syndrome_list, err_info) &&
chk_1_err_only(chk_syndrome_list, err_info) &&
chk_2_err_only(chk_syndrome_list, err_info) &&
chk_3_err_only(chk_syndrome_list, err_info) &&
chk_4_err_only(chk_syndrome_list, err_info)) {
return -EIO;
}
for (i=0; i < err_info[0]; i++)
correct_12bit_symbol(buf, err_info[1+i], err_info[5+i]);
return err_info[0];
}
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