[PATCH] fix ext3 mounts at 16T

I need to do some actual IO testing now, but this gets things mounting for
a 16T ext3 filesystem.  (patched up e2fsprogs is needed too, I'll send that
off the kernel list)

This patch fixes these issues in the kernel:

o sbi->s_groups_count overflows in ext3_fill_super()

	sbi->s_groups_count = (le32_to_cpu(es->s_blocks_count) -
			       le32_to_cpu(es->s_first_data_block) +
			       EXT3_BLOCKS_PER_GROUP(sb) - 1) /
			      EXT3_BLOCKS_PER_GROUP(sb);

  at 16T, s_blocks_count is already maxed out; adding
  EXT3_BLOCKS_PER_GROUP(sb) overflows it and groups_count comes out to 0.
  Not really what we want, and causes a failed mount.

  Feel free to check my math (actually, please do!), but changing it this
  way should work & avoid the overflow:

  (A + B - 1)/B changed to: ((A - 1)/B) + 1

o ext3_check_descriptors() overflows range checks

  ext3_check_descriptors() iterates over all block groups making sure
  that various bits are within the right block ranges...  on the last pass
  through, it is checking the error case

   [item] >= block + EXT3_BLOCKS_PER_GROUP(sb)

  where "block" is the first block in the last block group.  The last
  block in this group (and the last one that will fit in 32 bits) is block
  + EXT3_BLOCKS_PER_GROUP(sb)- 1.  block + EXT3_BLOCKS_PER_GROUP(sb) wraps
  back around to 0.

  so, make things clearer with "first_block" and "last_block" where those
  are first and last, inclusive, and use <, > rather than <, >=.

  Finally, the last block group may be smaller than the rest, so account
  for this on the last pass through: last_block = sb->s_blocks_count - 1;

(a similar patch could be done for ext2; does anyone in their right mind
use ext2 at 16T?  I'll send an ext2 patch doing the same thing if that's
warranted)

Signed-off-by: Eric Sandeen <esandeen@redhat.com>
Cc: Mingming Cao <cmm@us.ibm.com>
Signed-off-by: Andrew Morton <akpm@osdl.org>
Signed-off-by: Linus Torvalds <torvalds@osdl.org>

fs/ext3/super.c

@@ -1174,7 +1174,8 @@ static int ext3_setup_super(struct super_block *sb, struct ext3_super_block *es,
 static int ext3_check_descriptors (struct super_block * sb)
 {
 	struct ext3_sb_info *sbi = EXT3_SB(sb);
-	ext3_fsblk_t block = le32_to_cpu(sbi->s_es->s_first_data_block);
+	ext3_fsblk_t first_block = le32_to_cpu(sbi->s_es->s_first_data_block);
+	ext3_fsblk_t last_block;
 	struct ext3_group_desc * gdp = NULL;
 	int desc_block = 0;
 	int i;
@@ -1183,12 +1184,17 @@ static int ext3_check_descriptors (struct super_block * sb)
 
 	for (i = 0; i < sbi->s_groups_count; i++)
 	{
+		if (i == sbi->s_groups_count - 1)
+			last_block = le32_to_cpu(sbi->s_es->s_blocks_count) - 1;
+		else
+			last_block = first_block +
+				(EXT3_BLOCKS_PER_GROUP(sb) - 1);
+
 		if ((i % EXT3_DESC_PER_BLOCK(sb)) == 0)
 			gdp = (struct ext3_group_desc *)
 					sbi->s_group_desc[desc_block++]->b_data;
-		if (le32_to_cpu(gdp->bg_block_bitmap) < block ||
-		    le32_to_cpu(gdp->bg_block_bitmap) >=
-				block + EXT3_BLOCKS_PER_GROUP(sb))
+		if (le32_to_cpu(gdp->bg_block_bitmap) < first_block ||
+		    le32_to_cpu(gdp->bg_block_bitmap) > last_block)
 		{
 			ext3_error (sb, "ext3_check_descriptors",
 				    "Block bitmap for group %d"
@@ -1197,9 +1203,8 @@ static int ext3_check_descriptors (struct super_block * sb)
 					le32_to_cpu(gdp->bg_block_bitmap));
 			return 0;
 		}
-		if (le32_to_cpu(gdp->bg_inode_bitmap) < block ||
-		    le32_to_cpu(gdp->bg_inode_bitmap) >=
-				block + EXT3_BLOCKS_PER_GROUP(sb))
+		if (le32_to_cpu(gdp->bg_inode_bitmap) < first_block ||
+		    le32_to_cpu(gdp->bg_inode_bitmap) > last_block)
 		{
 			ext3_error (sb, "ext3_check_descriptors",
 				    "Inode bitmap for group %d"
@@ -1208,9 +1213,9 @@ static int ext3_check_descriptors (struct super_block * sb)
 					le32_to_cpu(gdp->bg_inode_bitmap));
 			return 0;
 		}
-		if (le32_to_cpu(gdp->bg_inode_table) < block ||
-		    le32_to_cpu(gdp->bg_inode_table) + sbi->s_itb_per_group >=
-		    block + EXT3_BLOCKS_PER_GROUP(sb))
+		if (le32_to_cpu(gdp->bg_inode_table) < first_block ||
+		    le32_to_cpu(gdp->bg_inode_table) + sbi->s_itb_per_group >
+		    last_block)
 		{
 			ext3_error (sb, "ext3_check_descriptors",
 				    "Inode table for group %d"
@@ -1219,7 +1224,7 @@ static int ext3_check_descriptors (struct super_block * sb)
 					le32_to_cpu(gdp->bg_inode_table));
 			return 0;
 		}
-		block += EXT3_BLOCKS_PER_GROUP(sb);
+		first_block += EXT3_BLOCKS_PER_GROUP(sb);
 		gdp++;
 	}
 
@@ -1622,10 +1627,9 @@ static int ext3_fill_super (struct super_block *sb, void *data, int silent)
 
 	if (EXT3_BLOCKS_PER_GROUP(sb) == 0)
 		goto cantfind_ext3;
-	sbi->s_groups_count = (le32_to_cpu(es->s_blocks_count) -
-			       le32_to_cpu(es->s_first_data_block) +
-			       EXT3_BLOCKS_PER_GROUP(sb) - 1) /
-			      EXT3_BLOCKS_PER_GROUP(sb);
+	sbi->s_groups_count = ((le32_to_cpu(es->s_blocks_count) -
+			       le32_to_cpu(es->s_first_data_block) - 1)
+				       / EXT3_BLOCKS_PER_GROUP(sb)) + 1;
 	db_count = (sbi->s_groups_count + EXT3_DESC_PER_BLOCK(sb) - 1) /
 		   EXT3_DESC_PER_BLOCK(sb);
 	sbi->s_group_desc = kmalloc(db_count * sizeof (struct buffer_head *),