Documentation: mtd: improve nand_ecc.txt for readability and correctness
This patch correct some representation errors, add a little clarification in some places, and fix indentation problems for pseudo code. It also delete one more white space for one place. Signed-off-by: Wang YanQing <udknight@gmail.com> [Brian: a few tweaks] Signed-off-by: Brian Norris <computersforpeace@gmail.com>
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@ -107,7 +107,7 @@ for (i = 0; i < 256; i++)
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if (i & 0x01)
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rp1 = bit7 ^ bit6 ^ bit5 ^ bit4 ^ bit3 ^ bit2 ^ bit1 ^ bit0 ^ rp1;
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else
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rp0 = bit7 ^ bit6 ^ bit5 ^ bit4 ^ bit3 ^ bit2 ^ bit1 ^ bit0 ^ rp1;
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rp0 = bit7 ^ bit6 ^ bit5 ^ bit4 ^ bit3 ^ bit2 ^ bit1 ^ bit0 ^ rp0;
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if (i & 0x02)
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rp3 = bit7 ^ bit6 ^ bit5 ^ bit4 ^ bit3 ^ bit2 ^ bit1 ^ bit0 ^ rp3;
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else
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@ -127,7 +127,7 @@ for (i = 0; i < 256; i++)
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if (i & 0x20)
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rp11 = bit7 ^ bit6 ^ bit5 ^ bit4 ^ bit3 ^ bit2 ^ bit1 ^ bit0 ^ rp11;
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else
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rp10 = bit7 ^ bit6 ^ bit5 ^ bit4 ^ bit3 ^ bit2 ^ bit1 ^ bit0 ^ rp10;
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rp10 = bit7 ^ bit6 ^ bit5 ^ bit4 ^ bit3 ^ bit2 ^ bit1 ^ bit0 ^ rp10;
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if (i & 0x40)
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rp13 = bit7 ^ bit6 ^ bit5 ^ bit4 ^ bit3 ^ bit2 ^ bit1 ^ bit0 ^ rp13;
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else
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@ -158,7 +158,7 @@ the values in any order. So instead of calculating all the bits
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individually, let us try to rearrange things.
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For the column parity this is easy. We can just xor the bytes and in the
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end filter out the relevant bits. This is pretty nice as it will bring
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all cp calculation out of the if loop.
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all cp calculation out of the for loop.
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Similarly we can first xor the bytes for the various rows.
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This leads to:
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@ -271,11 +271,11 @@ to write our code in such a way that we process data in 32 bit chunks.
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Of course this means some modification as the row parity is byte by
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byte. A quick analysis:
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for the column parity we use the par variable. When extending to 32 bits
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we can in the end easily calculate p0 and p1 from it.
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we can in the end easily calculate rp0 and rp1 from it.
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(because par now consists of 4 bytes, contributing to rp1, rp0, rp1, rp0
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respectively)
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respectively, from MSB to LSB)
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also rp2 and rp3 can be easily retrieved from par as rp3 covers the
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first two bytes and rp2 the last two bytes.
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first two MSBs and rp2 covers the last two LSBs.
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Note that of course now the loop is executed only 64 times (256/4).
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And note that care must taken wrt byte ordering. The way bytes are
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@ -387,11 +387,11 @@ Analysis 2
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The code (of course) works, and hurray: we are a little bit faster than
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the linux driver code (about 15%). But wait, don't cheer too quickly.
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THere is more to be gained.
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There is more to be gained.
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If we look at e.g. rp14 and rp15 we see that we either xor our data with
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rp14 or with rp15. However we also have par which goes over all data.
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This means there is no need to calculate rp14 as it can be calculated from
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rp15 through rp14 = par ^ rp15;
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rp15 through rp14 = par ^ rp15, because par = rp14 ^ rp15;
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(or if desired we can avoid calculating rp15 and calculate it from
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rp14). That is why some places refer to inverse parity.
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Of course the same thing holds for rp4/5, rp6/7, rp8/9, rp10/11 and rp12/13.
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@ -419,12 +419,12 @@ with
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if (i & 0x20) rp15 ^= cur;
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and outside the loop added:
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rp4 = par ^ rp5;
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rp6 = par ^ rp7;
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rp8 = par ^ rp9;
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rp10 = par ^ rp11;
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rp12 = par ^ rp13;
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rp14 = par ^ rp15;
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rp4 = par ^ rp5;
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rp6 = par ^ rp7;
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rp8 = par ^ rp9;
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rp10 = par ^ rp11;
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rp12 = par ^ rp13;
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rp14 = par ^ rp15;
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And after that the code takes about 30% more time, although the number of
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statements is reduced. This is also reflected in the assembly code.
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@ -524,12 +524,12 @@ THe code within the for loop was changed to:
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cur = *bp++; tmppar ^= cur; rp4 ^= cur; rp6 ^= cur;
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cur = *bp++; tmppar ^= cur; rp6 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur;
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cur = *bp++; tmppar ^= cur; rp10 ^= tmppar;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur;
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cur = *bp++; tmppar ^= cur; rp10 ^= tmppar;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur; rp6 ^= cur; rp8 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur; rp6 ^= cur; rp8 ^= cur;
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cur = *bp++; tmppar ^= cur; rp6 ^= cur; rp8 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur; rp8 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur; rp8 ^= cur;
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cur = *bp++; tmppar ^= cur; rp8 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur; rp6 ^= cur;
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@ -537,7 +537,7 @@ THe code within the for loop was changed to:
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cur = *bp++; tmppar ^= cur; rp4 ^= cur;
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cur = *bp++; tmppar ^= cur;
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par ^= tmppar;
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par ^= tmppar;
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if ((i & 0x1) == 0) rp12 ^= tmppar;
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if ((i & 0x2) == 0) rp14 ^= tmppar;
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}
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@ -548,8 +548,8 @@ to rp12 and rp14.
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While making the changes I also found that I could exploit that tmppar
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contains the running parity for this iteration. So instead of having:
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rp4 ^= cur; rp6 = cur;
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I removed the rp6 = cur; statement and did rp6 ^= tmppar; on next
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rp4 ^= cur; rp6 ^= cur;
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I removed the rp6 ^= cur; statement and did rp6 ^= tmppar; on next
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statement. A similar change was done for rp8 and rp10
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@ -593,22 +593,22 @@ The new code now looks like:
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cur = *bp++; tmppar ^= cur; rp4_6 ^= cur;
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cur = *bp++; tmppar ^= cur; rp6 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur;
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cur = *bp++; tmppar ^= cur; rp10 ^= tmppar;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur;
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cur = *bp++; tmppar ^= cur; rp10 ^= tmppar;
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notrp8 = tmppar;
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cur = *bp++; tmppar ^= cur; rp4_6 ^= cur;
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notrp8 = tmppar;
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cur = *bp++; tmppar ^= cur; rp4_6 ^= cur;
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cur = *bp++; tmppar ^= cur; rp6 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur;
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cur = *bp++; tmppar ^= cur;
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rp8 = rp8 ^ tmppar ^ notrp8;
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rp8 = rp8 ^ tmppar ^ notrp8;
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cur = *bp++; tmppar ^= cur; rp4_6 ^= cur;
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cur = *bp++; tmppar ^= cur; rp6 ^= cur;
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cur = *bp++; tmppar ^= cur; rp4 ^= cur;
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cur = *bp++; tmppar ^= cur;
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par ^= tmppar;
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par ^= tmppar;
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if ((i & 0x1) == 0) rp12 ^= tmppar;
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if ((i & 0x2) == 0) rp14 ^= tmppar;
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}
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@ -700,7 +700,7 @@ Conclusion
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The gain when calculating the ecc is tremendous. Om my development hardware
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a speedup of a factor of 18 for ecc calculation was achieved. On a test on an
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embedded system with a MIPS core a factor 7 was obtained.
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On a test with a Linksys NSLU2 (ARMv5TE processor) the speedup was a factor
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On a test with a Linksys NSLU2 (ARMv5TE processor) the speedup was a factor
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5 (big endian mode, gcc 4.1.2, -O3)
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For correction not much gain could be obtained (as bitflips are rare). Then
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again there are also much less cycles spent there.
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