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NAME
binary — Insert and extract fields from binary strings
SYNOPSIS
DESCRIPTION
BINARY ENCODE AND DECODE
base64
-maxlen length
-wrapchar character
-strict
hex
-strict
uuencode
-maxlen length
-wrapchar character
-strict
BINARY FORMAT
a
A
b
B
H
h
c
s
S
t
i
I
n
w
W
m
f
r
R
d
q
Q
x
X
@
BINARY SCAN
a
A
b
B
H
h
c
s
S
t
i
I
n
w
W
m
f
r
R
d
q
Q
x
X
@
PORTABILITY ISSUES
EXAMPLES
SEE ALSO
KEYWORDS

NAME

binary — Insert and extract fields from binary strings

SYNOPSIS

binary decode format ?-option value ...? data
binary encode format ?-option value ...? data
binary format formatString ?arg arg ...?
binary scan string formatString ?varName varName ...?

DESCRIPTION

This command provides facilities for manipulating binary data. The subcommand binary format creates a binary string from normal Tcl values. For example, given the values 16 and 22, on a 32-bit architecture, it might produce an 8-byte binary string consisting of two 4-byte integers, one for each of the numbers. The subcommand binary scan, does the opposite: it extracts data from a binary string and returns it as ordinary Tcl string values. The binary encode and binary decode subcommands convert binary data to or from string encodings such as base64 (used in MIME messages for example).

Note that other operations on binary data, such as taking a subsequence of it, getting its length, or reinterpreting it as a string in some encoding, are done by other Tcl commands (respectively string range, string length and encoding convertfrom in the example cases). A binary string in Tcl is merely one where all the characters it contains are in the range \u0000-\u00FF.

BINARY ENCODE AND DECODE

When encoding binary data as a readable string, the starting binary data is passed to the binary encode command, together with the name of the encoding to use and any encoding-specific options desired. Data which has been encoded can be converted back to binary form using binary decode. The following formats and options are supported.

base64
The base64 binary encoding is commonly used in mail messages and XML documents, and uses mostly upper and lower case letters and digits. It has the distinction of being able to be rewrapped arbitrarily without losing information.

During encoding, the following options are supported:

-maxlen length
Indicates that the output should be split into lines of no more than length characters. By default, lines are not split.

-wrapchar character
Indicates that, when lines are split because of the -maxlen option, character should be used to separate lines. By default, this is a newline character, “\n”.

During decoding, the following options are supported:

-strict
Instructs the decoder to throw an error if it encounters whitespace characters. Otherwise it ignores them.

hex
The hex binary encoding converts each byte to a pair of hexadecimal digits in big-endian form.

No options are supported during encoding. During decoding, the following options are supported:

-strict
Instructs the decoder to throw an error if it encounters whitespace characters. Otherwise it ignores them.

uuencode
The uuencode binary encoding used to be common for transfer of data between Unix systems and on USENET, but is less common these days, having been largely superseded by the base64 binary encoding.

During encoding, the following options are supported (though changing them may produce files that other implementations of decoders cannot process):

-maxlen length
Indicates that the output should be split into lines of no more than length characters. By default, lines are split every 61 characters, and this must be in the range 3 to 85 due to limitations in the encoding.

-wrapchar character
Indicates that, when lines are split because of the -maxlen option, character should be used to separate lines. By default, this is a newline character, “\n”.

During decoding, the following options are supported:

-strict
Instructs the decoder to throw an error if it encounters unexpected whitespace characters. Otherwise it ignores them.

Note that neither the encoder nor the decoder handle the header and footer of the uuencode format.

BINARY FORMAT

The binary format command generates a binary string whose layout is specified by the formatString and whose contents come from the additional arguments. The resulting binary value is returned.

The formatString consists of a sequence of zero or more field specifiers separated by zero or more spaces. Each field specifier is a single type character followed by an optional flag character followed by an optional numeric count. Most field specifiers consume one argument to obtain the value to be formatted. The type character specifies how the value is to be formatted. The count typically indicates how many items of the specified type are taken from the value. If present, the count is a non-negative decimal integer or *, which normally indicates that all of the items in the value are to be used. If the number of arguments does not match the number of fields in the format string that consume arguments, then an error is generated. The flag character is ignored for binary format.

Here is a small example to clarify the relation between the field specifiers and the arguments:

binary format d3d {1.0 2.0 3.0 4.0} 0.1

The first argument is a list of four numbers, but because of the count of 3 for the associated field specifier, only the first three will be used. The second argument is associated with the second field specifier. The resulting binary string contains the four numbers 1.0, 2.0, 3.0 and 0.1.

Each type-count pair moves an imaginary cursor through the binary data, storing bytes at the current position and advancing the cursor to just after the last byte stored. The cursor is initially at position 0 at the beginning of the data. The type may be any one of the following characters:

a
Stores a byte string of length count in the output string. Every character is taken as modulo 256 (i.e. the low byte of every character is used, and the high byte discarded) so when storing character strings not wholly expressible using the characters \u0000-\u00ff, the encoding convertto command should be used first to change the string into an external representation if this truncation is not desired (i.e. if the characters are not part of the ISO 8859-1 character set.) If arg has fewer than count bytes, then additional zero bytes are used to pad out the field. If arg is longer than the specified length, the extra characters will be ignored. If count is *, then all of the bytes in arg will be formatted. If count is omitted, then one character will be formatted. For example,
binary format a7a*a alpha bravo charlie
will return a string equivalent to alpha\000\000bravoc,
binary format a* [encoding convertto utf-8 \u20ac]
will return a string equivalent to \342\202\254 (which is the UTF-8 byte sequence for a Euro-currency character) and
binary format a* [encoding convertto iso8859-15 \u20ac]
will return a string equivalent to \244 (which is the ISO 8859-15 byte sequence for a Euro-currency character). Contrast these last two with:
binary format a* \u20ac
which returns a string equivalent to \254 (i.e. \xac) by truncating the high-bits of the character, and which is probably not what is desired.

A
This form is the same as a except that spaces are used for padding instead of nulls. For example,
binary format A6A*A alpha bravo charlie
will return alpha bravoc.

b
Stores a string of count binary digits in low-to-high order within each byte in the output string. Arg must contain a sequence of 1 and 0 characters. The resulting bytes are emitted in first to last order with the bits being formatted in low-to-high order within each byte. If arg has fewer than count digits, then zeros will be used for the remaining bits. If arg has more than the specified number of digits, the extra digits will be ignored. If count is *, then all of the digits in arg will be formatted. If count is omitted, then one digit will be formatted. If the number of bits formatted does not end at a byte boundary, the remaining bits of the last byte will be zeros. For example,
binary format b5b* 11100 111000011010
will return a string equivalent to \x07\x87\x05.

B
This form is the same as b except that the bits are stored in high-to-low order within each byte. For example,
binary format B5B* 11100 111000011010
will return a string equivalent to \xe0\xe1\xa0.

H
Stores a string of count hexadecimal digits in high-to-low within each byte in the output string. Arg must contain a sequence of characters in the set “0123456789abcdefABCDEF”. The resulting bytes are emitted in first to last order with the hex digits being formatted in high-to-low order within each byte. If arg has fewer than count digits, then zeros will be used for the remaining digits. If arg has more than the specified number of digits, the extra digits will be ignored. If count is *, then all of the digits in arg will be formatted. If count is omitted, then one digit will be formatted. If the number of digits formatted does not end at a byte boundary, the remaining bits of the last byte will be zeros. For example,
binary format H3H*H2 ab DEF 987
will return a string equivalent to \xab\x00\xde\xf0\x98.

h
This form is the same as H except that the digits are stored in low-to-high order within each byte. This is seldom required. For example,
binary format h3h*h2 AB def 987
will return a string equivalent to \xba\x00\xed\x0f\x89.

c
Stores one or more 8-bit integer values in the output string. If no count is specified, then arg must consist of an integer value. If count is specified, arg must consist of a list containing at least that many integers. The low-order 8 bits of each integer are stored as a one-byte value at the cursor position. If count is *, then all of the integers in the list are formatted. If the number of elements in the list is greater than count, then the extra elements are ignored. For example,
binary format c3cc* {3 -3 128 1} 260 {2 5}
will return a string equivalent to \x03\xfd\x80\x04\x02\x05, whereas
binary format c {2 5}
will generate an error.

s
This form is the same as c except that it stores one or more 16-bit integers in little-endian byte order in the output string. The low-order 16-bits of each integer are stored as a two-byte value at the cursor position with the least significant byte stored first. For example,
binary format s3 {3 -3 258 1}
will return a string equivalent to \x03\x00\xfd\xff\x02\x01.

S
This form is the same as s except that it stores one or more 16-bit integers in big-endian byte order in the output string. For example,
binary format S3 {3 -3 258 1}
will return a string equivalent to \x00\x03\xff\xfd\x01\x02.

t
This form (mnemonically tiny) is the same as s and S except that it stores the 16-bit integers in the output string in the native byte order of the machine where the Tcl script is running. To determine what the native byte order of the machine is, refer to the byteOrder element of the tcl_platform array.

i
This form is the same as c except that it stores one or more 32-bit integers in little-endian byte order in the output string. The low-order 32-bits of each integer are stored as a four-byte value at the cursor position with the least significant byte stored first. For example,
binary format i3 {3 -3 65536 1}
will return a string equivalent to \x03\x00\x00\x00\xfd\xff\xff\xff\x00\x00\x01\x00

I
This form is the same as i except that it stores one or more one or more 32-bit integers in big-endian byte order in the output string. For example,
binary format I3 {3 -3 65536 1}
will return a string equivalent to \x00\x00\x00\x03\xff\xff\xff\xfd\x00\x01\x00\x00

n
This form (mnemonically number or normal) is the same as i and I except that it stores the 32-bit integers in the output string in the native byte order of the machine where the Tcl script is running. To determine what the native byte order of the machine is, refer to the byteOrder element of the tcl_platform array.

w
This form is the same as c except that it stores one or more 64-bit integers in little-endian byte order in the output string. The low-order 64-bits of each integer are stored as an eight-byte value at the cursor position with the least significant byte stored first. For example,
binary format w 7810179016327718216
will return the string HelloTcl

W
This form is the same as w except that it stores one or more one or more 64-bit integers in big-endian byte order in the output string. For example,
binary format Wc 4785469626960341345 110
will return the string BigEndian

m
This form (mnemonically the mirror of w) is the same as w and W except that it stores the 64-bit integers in the output string in the native byte order of the machine where the Tcl script is running. To determine what the native byte order of the machine is, refer to the byteOrder element of the tcl_platform array.

f
This form is the same as c except that it stores one or more one or more single-precision floating point numbers in the machine's native representation in the output string. This representation is not portable across architectures, so it should not be used to communicate floating point numbers across the network. The size of a floating point number may vary across architectures, so the number of bytes that are generated may vary. If the value overflows the machine's native representation, then the value of FLT_MAX as defined by the system will be used instead. Because Tcl uses double-precision floating point numbers internally, there may be some loss of precision in the conversion to single-precision. For example, on a Windows system running on an Intel Pentium processor,
binary format f2 {1.6 3.4}
will return a string equivalent to \xcd\xcc\xcc\x3f\x9a\x99\x59\x40.

r
This form (mnemonically real) is the same as f except that it stores the single-precision floating point numbers in little-endian order. This conversion only produces meaningful output when used on machines which use the IEEE floating point representation (very common, but not universal.)

R
This form is the same as r except that it stores the single-precision floating point numbers in big-endian order.

d
This form is the same as f except that it stores one or more one or more double-precision floating point numbers in the machine's native representation in the output string. For example, on a Windows system running on an Intel Pentium processor,
binary format d1 {1.6}
will return a string equivalent to \x9a\x99\x99\x99\x99\x99\xf9\x3f.

q
This form (mnemonically the mirror of d) is the same as d except that it stores the double-precision floating point numbers in little-endian order. This conversion only produces meaningful output when used on machines which use the IEEE floating point representation (very common, but not universal.)

Q
This form is the same as q except that it stores the double-precision floating point numbers in big-endian order.

x
Stores count null bytes in the output string. If count is not specified, stores one null byte. If count is *, generates an error. This type does not consume an argument. For example,
binary format a3xa3x2a3 abc def ghi
will return a string equivalent to abc\000def\000\000ghi.

X
Moves the cursor back count bytes in the output string. If count is * or is larger than the current cursor position, then the cursor is positioned at location 0 so that the next byte stored will be the first byte in the result string. If count is omitted then the cursor is moved back one byte. This type does not consume an argument. For example,
binary format a3X*a3X2a3 abc def ghi
will return dghi.

@
Moves the cursor to the absolute location in the output string specified by count. Position 0 refers to the first byte in the output string. If count refers to a position beyond the last byte stored so far, then null bytes will be placed in the uninitialized locations and the cursor will be placed at the specified location. If count is *, then the cursor is moved to the current end of the output string. If count is omitted, then an error will be generated. This type does not consume an argument. For example,
binary format a5@2a1@*a3@10a1 abcde f ghi j
will return abfdeghi\000\000j.

BINARY SCAN

The binary scan command parses fields from a binary string, returning the number of conversions performed. String gives the input bytes to be parsed (one byte per character, and characters not representable as a byte have their high bits chopped) and formatString indicates how to parse it. Each varName gives the name of a variable; when a field is scanned from string the result is assigned to the corresponding variable.

As with binary format, the formatString consists of a sequence of zero or more field specifiers separated by zero or more spaces. Each field specifier is a single type character followed by an optional flag character followed by an optional numeric count. Most field specifiers consume one argument to obtain the variable into which the scanned values should be placed. The type character specifies how the binary data is to be interpreted. The count typically indicates how many items of the specified type are taken from the data. If present, the count is a non-negative decimal integer or *, which normally indicates that all of the remaining items in the data are to be used. If there are not enough bytes left after the current cursor position to satisfy the current field specifier, then the corresponding variable is left untouched and binary scan returns immediately with the number of variables that were set. If there are not enough arguments for all of the fields in the format string that consume arguments, then an error is generated. The flag character “u” may be given to cause some types to be read as unsigned values. The flag is accepted for all field types but is ignored for non-integer fields.

A similar example as with binary format should explain the relation between field specifiers and arguments in case of the binary scan subcommand:

binary scan $bytes s3s first second

This command (provided the binary string in the variable bytes is long enough) assigns a list of three integers to the variable first and assigns a single value to the variable second. If bytes contains fewer than 8 bytes (i.e. four 2-byte integers), no assignment to second will be made, and if bytes contains fewer than 6 bytes (i.e. three 2-byte integers), no assignment to first will be made. Hence:

puts [binary scan abcdefg s3s first second]
puts $first
puts $second
will print (assuming neither variable is set previously):
1
25185 25699 26213
can't read "second": no such variable

It is important to note that the c, s, and S (and i and I on 64bit systems) will be scanned into long data size values. In doing this, values that have their high bit set (0x80 for chars, 0x8000 for shorts, 0x80000000 for ints), will be sign extended. Thus the following will occur:

set signShort [binary format s1 0x8000]
binary scan $signShort s1 val; # val == 0xFFFF8000
If you require unsigned values you can include the “u” flag character following the field type. For example, to read an unsigned short value:
set signShort [binary format s1 0x8000]
binary scan $signShort su1 val; # val == 0x00008000

Each type-count pair moves an imaginary cursor through the binary data, reading bytes from the current position. The cursor is initially at position 0 at the beginning of the data. The type may be any one of the following characters:

a
The data is a byte string of length count. If count is *, then all of the remaining bytes in string will be scanned into the variable. If count is omitted, then one byte will be scanned. All bytes scanned will be interpreted as being characters in the range \u0000-\u00ff so the encoding convertfrom command will be needed if the string is not a binary string or a string encoded in ISO 8859-1. For example,
binary scan abcde\000fghi a6a10 var1 var2
will return 1 with the string equivalent to abcde\000 stored in var1 and var2 left unmodified, and
binary scan \342\202\254 a* var1
set var2 [encoding convertfrom utf-8 $var1]
will store a Euro-currency character in var2.

A
This form is the same as a, except trailing blanks and nulls are stripped from the scanned value before it is stored in the variable. For example,
binary scan "abc efghi  \000" A* var1
will return 1 with abc efghi stored in var1.

b
The data is turned into a string of count binary digits in low-to-high order represented as a sequence of “1” and “0” characters. The data bytes are scanned in first to last order with the bits being taken in low-to-high order within each byte. Any extra bits in the last byte are ignored. If count is *, then all of the remaining bits in string will be scanned. If count is omitted, then one bit will be scanned. For example,
binary scan \x07\x87\x05 b5b* var1 var2
will return 2 with 11100 stored in var1 and 1110000110100000 stored in var2.

B
This form is the same as b, except the bits are taken in high-to-low order within each byte. For example,
binary scan \x70\x87\x05 B5B* var1 var2
will return 2 with 01110 stored in var1 and 1000011100000101 stored in var2.

H
The data is turned into a string of count hexadecimal digits in high-to-low order represented as a sequence of characters in the set “0123456789abcdef”. The data bytes are scanned in first to last order with the hex digits being taken in high-to-low order within each byte. Any extra bits in the last byte are ignored. If count is *, then all of the remaining hex digits in string will be scanned. If count is omitted, then one hex digit will be scanned. For example,
binary scan \x07\xC6\x05\x1f\x34 H3H* var1 var2
will return 2 with 07c stored in var1 and 051f34 stored in var2.

h
This form is the same as H, except the digits are taken in reverse (low-to-high) order within each byte. For example,
binary scan \x07\x86\x05\x12\x34 h3h* var1 var2
will return 2 with 706 stored in var1 and 502143 stored in var2.

Note that most code that wishes to parse the hexadecimal digits from multiple bytes in order should use the H format.

c
The data is turned into count 8-bit signed integers and stored in the corresponding variable as a list. If count is *, then all of the remaining bytes in string will be scanned. If count is omitted, then one 8-bit integer will be scanned. For example,
binary scan \x07\x86\x05 c2c* var1 var2
will return 2 with 7 -122 stored in var1 and 5 stored in var2. Note that the integers returned are signed, but they can be converted to unsigned 8-bit quantities using an expression like:
set num [expr { $num & 0xff }]

s
The data is interpreted as count 16-bit signed integers represented in little-endian byte order. The integers are stored in the corresponding variable as a list. If count is *, then all of the remaining bytes in string will be scanned. If count is omitted, then one 16-bit integer will be scanned. For example,
binary scan \x05\x00\x07\x00\xf0\xff s2s* var1 var2
will return 2 with 5 7 stored in var1 and -16 stored in var2. Note that the integers returned are signed, but they can be converted to unsigned 16-bit quantities using an expression like:
set num [expr { $num & 0xffff }]

S
This form is the same as s except that the data is interpreted as count 16-bit signed integers represented in big-endian byte order. For example,
binary scan \x00\x05\x00\x07\xff\xf0 S2S* var1 var2
will return 2 with 5 7 stored in var1 and -16 stored in var2.

t
The data is interpreted as count 16-bit signed integers represented in the native byte order of the machine running the Tcl script. It is otherwise identical to s and S. To determine what the native byte order of the machine is, refer to the byteOrder element of the tcl_platform array.

i
The data is interpreted as count 32-bit signed integers represented in little-endian byte order. The integers are stored in the corresponding variable as a list. If count is *, then all of the remaining bytes in string will be scanned. If count is omitted, then one 32-bit integer will be scanned. For example,
set str \x05\x00\x00\x00\x07\x00\x00\x00\xf0\xff\xff\xff
binary scan $str i2i* var1 var2
will return 2 with 5 7 stored in var1 and -16 stored in var2. Note that the integers returned are signed, but they can be converted to unsigned 32-bit quantities using an expression like:
set num [expr { $num & 0xffffffff }]

I
This form is the same as I except that the data is interpreted as count 32-bit signed integers represented in big-endian byte order. For example,
set str \x00\x00\x00\x05\x00\x00\x00\x07\xff\xff\xff\xf0
binary scan $str I2I* var1 var2
will return 2 with 5 7 stored in var1 and -16 stored in var2.

n
The data is interpreted as count 32-bit signed integers represented in the native byte order of the machine running the Tcl script. It is otherwise identical to i and I. To determine what the native byte order of the machine is, refer to the byteOrder element of the tcl_platform array.

w
The data is interpreted as count 64-bit signed integers represented in little-endian byte order. The integers are stored in the corresponding variable as a list. If count is *, then all of the remaining bytes in string will be scanned. If count is omitted, then one 64-bit integer will be scanned. For example,
set str \x05\x00\x00\x00\x07\x00\x00\x00\xf0\xff\xff\xff
binary scan $str wi* var1 var2
will return 2 with 30064771077 stored in var1 and -16 stored in var2. Note that the integers returned are signed and cannot be represented by Tcl as unsigned values.

W
This form is the same as w except that the data is interpreted as count 64-bit signed integers represented in big-endian byte order. For example,
set str \x00\x00\x00\x05\x00\x00\x00\x07\xff\xff\xff\xf0
binary scan $str WI* var1 var2
will return 2 with 21474836487 stored in var1 and -16 stored in var2.

m
The data is interpreted as count 64-bit signed integers represented in the native byte order of the machine running the Tcl script. It is otherwise identical to w and W. To determine what the native byte order of the machine is, refer to the byteOrder element of the tcl_platform array.

f
The data is interpreted as count single-precision floating point numbers in the machine's native representation. The floating point numbers are stored in the corresponding variable as a list. If count is *, then all of the remaining bytes in string will be scanned. If count is omitted, then one single-precision floating point number will be scanned. The size of a floating point number may vary across architectures, so the number of bytes that are scanned may vary. If the data does not represent a valid floating point number, the resulting value is undefined and compiler dependent. For example, on a Windows system running on an Intel Pentium processor,
binary scan \x3f\xcc\xcc\xcd f var1
will return 1 with 1.6000000238418579 stored in var1.

r
This form is the same as f except that the data is interpreted as count single-precision floating point number in little-endian order. This conversion is not portable to the minority of systems not using IEEE floating point representations.

R
This form is the same as f except that the data is interpreted as count single-precision floating point number in big-endian order. This conversion is not portable to the minority of systems not using IEEE floating point representations.

d
This form is the same as f except that the data is interpreted as count double-precision floating point numbers in the machine's native representation. For example, on a Windows system running on an Intel Pentium processor,
binary scan \x9a\x99\x99\x99\x99\x99\xf9\x3f d var1
will return 1 with 1.6000000000000001 stored in var1.

q
This form is the same as d except that the data is interpreted as count double-precision floating point number in little-endian order. This conversion is not portable to the minority of systems not using IEEE floating point representations.

Q
This form is the same as d except that the data is interpreted as count double-precision floating point number in big-endian order. This conversion is not portable to the minority of systems not using IEEE floating point representations.

x
Moves the cursor forward count bytes in string. If count is * or is larger than the number of bytes after the current cursor position, then the cursor is positioned after the last byte in string. If count is omitted, then the cursor is moved forward one byte. Note that this type does not consume an argument. For example,
binary scan \x01\x02\x03\x04 x2H* var1
will return 1 with 0304 stored in var1.

X
Moves the cursor back count bytes in string. If count is * or is larger than the current cursor position, then the cursor is positioned at location 0 so that the next byte scanned will be the first byte in string. If count is omitted then the cursor is moved back one byte. Note that this type does not consume an argument. For example,
binary scan \x01\x02\x03\x04 c2XH* var1 var2
will return 2 with 1 2 stored in var1 and 020304 stored in var2.

@
Moves the cursor to the absolute location in the data string specified by count. Note that position 0 refers to the first byte in string. If count refers to a position beyond the end of string, then the cursor is positioned after the last byte. If count is omitted, then an error will be generated. For example,
binary scan \x01\x02\x03\x04 c2@1H* var1 var2
will return 2 with 1 2 stored in var1 and 020304 stored in var2.

PORTABILITY ISSUES

The r, R, q and Q conversions will only work reliably for transferring data between computers which are all using IEEE floating point representations. This is very common, but not universal. To transfer floating-point numbers portably between all architectures, use their textual representation (as produced by format) instead.

EXAMPLES

This is a procedure to write a Tcl string to a binary-encoded channel as UTF-8 data preceded by a length word:

proc writeString {channel string} {
    set data [encoding convertto utf-8 $string]
    puts -nonewline [binary format Ia* \
            [string length $data] $data]
}

This procedure reads a string from a channel that was written by the previously presented writeString procedure:

proc readString {channel} {
    if {![binary scan [read $channel 4] I length]} {
        error "missing length"
    }
    set data [read $channel $length]
    return [encoding convertfrom utf-8 $data]
}

This converts the contents of a file (named in the variable filename) to base64 and prints them:

set f [open $filename rb]
set data [read $f]
close $f
puts [binary encode base64 -maxlen 64 $data]

SEE ALSO

encoding, format, scan, string, tcl_platform

KEYWORDS

binary, format, scan
Copyright © 1997 by Sun Microsystems, Inc.
Copyright © 2008 by Donal K. Fellows