harvey/sys/doc/fs/pa

.bp
.SH
Appendix:
Maximum File Sizes in the 64-bit File Server
.PP
The maximum size of a single file in a Plan 9 file server's
file system with 64-bit block numbers
is determined by the file system block size
(there are single, double, triple and quadruple indirect blocks).
The maximum size is thus
$d ( 6 + x + x sup 2 + x sup 3 + x sup 4 )$
bytes, where
$d = blocksize - ( 2 + 2 + 8 )$
and
$x = left floor d over 8 right floor$,
8 being the size in bytes of a
.I "long long"
block number.
.LP
Note that
$2 sup 63 ~ = ~ 9,223,372,036,854,775,808 ~ = ~ 8$
EB (binary exabytes).
.LP
.KS
.TS
center ;
c s s
c c c
n n n .
Maximum File Sizes
blocksize	max. file size	in bytes
_
1k	239.455G	257,112,525,120
2k	7.73795T	8,507,967,771,456
3k	59.4174T	65,330,091,351,360
4k	251.779T	276,833,619,879,744
5k	770.93T	847,646,649,807,168
6k	1.87752P	2,113,900,586,253,120
7k	4.0645P	4,576,215,491,839,296
8k	7.93382P	8,932,685,435,522,880
_
9k	14.3102P	16,111,863,841,429,824
10k	24.2524P	27,305,748,837,688,128
11k	39.0823P	44,002,768,605,261,120
12k	60.4146P	68,020,766,726,780,736
13k	90.1856P	101,539,987,535,380,800
14k	130.683P	147,136,061,463,530,304
15k	184.575P	207,812,990,391,866,688
16k	254.939P	287,036,132,998,029,120
_
17k	345.293P	388,765,190,105,491,776
18k	459.621P	517,487,190,032,397,120
19k	602.407P	678,249,473,940,389,184
20k	778.66P	876,692,681,183,446,848
21k	993.946P	1,119,083,734,656,717,120
22k	1.22502E	1,412,348,826,145,348,416
23k	1.53012E	1,764,106,401,673,323,840
24k	1.89319E	2,182,700,146,852,294,464
25k	2.32213E	2,677,231,972,230,412,608
26k	2.82551E	3,257,594,998,641,165,120
27k	3.41264E	3,934,506,542,552,206,656
28k	4.09355E	4,719,541,101,414,192,960
29k	4.87905E	5,625,163,339,009,614,144
30k	5.78076E	6,664,761,070,801,627,968
31k	6.81111E	7,852,678,249,282,893,120
32k	7.98341E	9,204,247,949,324,402,496
_
33k	9.31184E	10,735,825,353,524,316,480
\&...
48k	60.666E	69,943,138,363,646,533,440
\&...
56k	131.149E	151,204,569,706,075,533,120
\&...
64k	255.734E	294,841,790,119,418,167,104
.TE
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