Binary Module 1.0 w3c-designation EXPath Module 3 December 2013 XML Revision Markup Jirka Kosek jirka@kosek.cz John Lumley john@saxonica.com

Copyright © 2013 Jirka Kosek and John Lumley, published by the EXPath Community Group under the W3C Community Final Specification Agreement (FSA). A human-readable summary is available.

This specification was published by the EXPath Community Group. It is not a W3C Standard nor is it on the W3C Standards Track. Please note that under the W3C Community Final Specification Agreement (FSA) other conditions apply. Learn more about W3C Community and Business Groups.

This proposal provides an API for XPath 2.0 to handle binary data. It defines extension functions to process data from binary files, including extracting subparts, searching, basic binary operations and conversion between binary and structured forms. It has been designed to be compatible with XQuery 1.0 and XSLT 2.0, as well as any other XPath 2.0 usage.

The module homepage, with more information, is on the EXPath website at http://expath.org/modules/binary/.

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Status of this document

This document is a final specification.

Introduction Namespace conventions

The module defined by this document defines several functions, all contained in the namespace http://expath.org/ns/binary. In this document, the bin prefix, when used, is bound to this namespace URI.

Error codes are defined in the same namespace (http://expath.org/ns/binary), and in this document are displayed with the same prefix, bin.

Binary file I/O uses facilities defined in , which defines functions in the namespace http://expath.org/ns/file. In this document, the file prefix, when used, is bound to this namespace URI.

Error management

Error conditions are identified by a code (a QName.) When such an error condition is reached in the evaluation of an expression, a dynamic error is thrown, with the corresponding error code (as if the standard XPath function error() had been called.)

Binary type

The principal binary type within this module is xs:base64Binary.

Conversion to and from xs:hexBinary can be performed by casting with xs:hexBinary() and xs:base64Binary().

As these types are normally implemented as wrappers around byte array structures containing the data, and differ only when being serialized to or parsed from text, such casting in-process should not involve data copying.

An item of type xs:base64Binary can be empty, i.e. contain no data, (in the same way that items of type xs:string can contain no characters.) Where 'data' arguments to functions that return binary data are optional (i.e. $arg as type?) and any of those optional arguments is set to the empty sequence, in general an empty sequence is returned, rather than an empty item of type xs:base64Binary.

Test suite

A suite of test-cases for all the functions defined in this module, in format, is defined at .

Use cases

Development of this specification was driven by requirements which some XML developers regularly encounter in examining or generating data which is presented in binary, or other non-textual forms. Some typical use cases include:

Getting the dimensions of an image file.

Extracting image metadata.

Processing images embedded as base64 encodings within a SOAP message.

Processing legacy text files which use different encodings in separate sections.

Generating PDF files from SVG graphical data.

Example – finding JPEG size

As an example, the following code reads the binary form of a JPEG image file, searches for the 'Start of Frame/DCT' segment, and unpacks the relevant binary sections to integers of height and width:

<xsl:variable name="binary" select="file:read-binary(@href)" as="xs:base64Binary"/> <xsl:variable name="location" select="bin:find($binary,0,bin:hex('FFC0'))"/> <size width="{bin:unpack-unsigned-integer($binary,$location+5,2,'most-significant-first')}" height="{bin:unpack-unsigned-integer($binary,$location+7,2,'most-significant-first')}"/> => <size width="377" height="327"/>

(The 'most-significant-first'() argument ensures the numeric conversion is 'big-endian', which is the format in JPEG.)

Example – reading and writing variable length ASN.1 integers

defines several formats for identifying and encoding arbitrary-sized telecommunications data as streams of octets. Many of these forms specify the length of data as part of their encoding. For example, in the Basic Encoding Rules, an integer is represented as the following series of octets:

Type – 1 octet – in this case the value 0x02

Length – >=1 octet – the number of octets in the integer value. The length field itself can be variable in length – to accomodate VERY large integers (requiring more than 127 octets to represent, e.g. 2048-bit crypto keys.)

Payload – >=0 octets – the octets of the integer value in most-significant-first order.

To generate such a representation for an integer from XSLT/XPath, the following code might be used:

<xsl:function name="bin:int-octets" as="xs:integer*"> <xsl:param name="value" as="xs:integer"/> <xsl:sequence select="if($value ne 0) then (bin:int-octets($value idiv 256),$value mod 256) else ()"/> </xsl:function> <xsl:function name="bin:encode-ASN-integer" as="xs:base64Binary"> <xsl:param name="int" as="xs:integer"/> <xsl:variable name="octets" select="bin:int-octets($int)"/> <xsl:variable name="length-octets" select="let $l := count($octets) return (if($l le 127) then $l else (let $lo := bin:int-octets($l) return (128+count($lo),$lo)))"/> <xsl:sequence select="bin:from-octets((2,$length-octets,$octets))"/> </xsl:function>

The function bin:int-octets() returns a sequence of all the 'significant' octets of the integer (i.e. eliminating leading 'zeroes') in most-significant order. Examples of the encoding are:

bin:encode-ASN-integer(0) => "AgA=" bin:encode-ASN-integer(1234) => "AgIE0g==" bin:encode-ASN-integer(123456789123456789123456789123456789) => "Ag8XxuPAMviQRa10ZoQEXxU=" bin:encode-ASN-integer(123456789.. 900 digits... 123456789) => "AoIBdgaTo....EBF8V"

The first example requires no octets to encode zero, hence its octets are 2,0. Both the second and third examples can be represented in less than 128 octets (2 and 15 respectively), so length is encoded as a single octet. The first three octets of the result for the last example, which encodes a 900-digit integer, are: 2,130,1 indicating that the data is represented by (130-128) * 256 + 1 = 513 octets and the length required two octets to encode.

Decoding is a matter of compound use of the integer decoding function:

<xsl:function name="bin:decode-ASN-integer" as="xs:integer"> <xsl:param name="in" as="xs:base64Binary"/> <xsl:sequence select="let $lo := bin:unpack-unsigned-integer($in,1,1,'BE') return ( if($lo le 127) then bin:unpack-unsigned-integer($in,2,$lo,'BE') else (let $lo2 := $lo - 128, $lo3 := bin:unpack-unsigned-integer($in,2,$lo2,'BE') return bin:unpack-unsigned-integer($in,2+$lo2,$lo3,'BE')))" /> </xsl:function>

(all numbers in ASN are 'big-endian') and the examples from above reverse:

bin:decode-ASN-integer(xs:base64Binary("AgA=")) => 0 bin:decode-ASN-integer(xs:base64Binary("AgIE0g==")) => 1234 bin:encode-ASN-integer(xs:base64Binary("Ag8XxuPAMviQRa10ZoQEXxU=")) => 123456789123456789123456789123456789 bin:encode-ASN-integer(xs:base64Binary("AoIBdgaTo....EBF8V")) => 123456789.. 900 digits... 123456789
Loading and saving binary data

This module defines no specific functions for reading and writing binary data from files. The EXPath File Module provides three suitable functions:

file:append-binary($file as xs:string, $value as xs:base64Binary) as empty-sequence(). Appends a Base64 item as binary to a file.

file:read-binary($file as xs:string) as xs:base64Binary. Returns the content of a file in its Base64 representation. A function signature with an offset and size is available to read part of a file.

file:write-binary($file as xs:string, $value as xs:base64Binary) as empty-sequence(). Writes a Base64 item as binary to a file. A function signature with an offset is available to write part of a file.

Defining 'constants' and conversions

Users of the package may need to define binary 'constants' within their code or examine the basic octets. The following functions support these:

bin:hex

Returns the binary form of the set of octets written as a sequence of (ASCII) hex digits ([0-9A-Fa-f]).

$in will be effectively zero-padded from the left to generate an integral number of octets, i.e. an even number of hexadecimal digits. If $in is an empty string, then the result will be a xs:base64Binary with no embedded data.

Byte order in the result follows (per-octet) character order in the string.

If the value of $in is the empty sequence, the function returns an empty sequence.

is raised if $in cannot be parsed as a hexadecimal number.

When the input string has an even number of characters, this function behaves similarly to the double cast xs:base64Binary(xs:hexBinary($string)).

bin:hex('11223F4E') => "ESI/Tg==" bin:hex('1223F4E') => "ASI/Tg=="
bin:bin

Returns the binary form of the set of octets written as a sequence of (8-wise) (ASCII) binary digits ([01]).

$in will be effectively zero-padded from the left to generate an integral number of octets. If $in is an empty string, then the result will be a xs:base64Binary with no embedded data.

Byte order in the result follows (per-octet) character order in the string.

If the value of $in is the empty sequence, the function returns an empty sequence.

is raised if $in cannot be parsed as a binary number.

bin:bin('1101000111010101') => "0dU=" bin:bin('1000111010101') => "EdU="
bin:octal

Returns the binary form of the set of octets written as a sequence of (ASCII) octal digits ([0-7]).

$in will be effectively zero-padded from the left to generate an integral number of octets. If $in is an empty string, then the result will be a xs:base64Binary with no embedded data.

Byte order in the result follows (per-octet) character order in the string.

If the value of $in is the empty sequence, the function returns an empty sequence.

is raised if $in cannot be parsed as an octal number.

bin:octal('11223047') => "JSYn"
bin:to-octets

Returns binary data as a sequence of octets.

If $in is a zero length binary data then the empty sequence is returned.

Octets are returned as integers from 0 to 255.

bin:from-octets

Converts a sequence of octets into binary data.

Octets are integers from 0 to 255.

If the value of $in is the empty sequence, the function returns zero-sized binary data.

is raised if one of the octets lies outside the range 0 – 255.

Basic operations bin:length

The bin:length function returns the size of binary data in octets.

Returns the size of binary data in octets.

bin:part

The bin:part function returns a specified part of binary data.

Returns a section of binary data starting at the $offset octet. If $size is defined, the size of the returned binary data is $size octets. If $size is absent, all remaining data from $offset is returned.

The $offset is zero based.

The values of $offset and $size must be non-negative integers.

It is a dynamic error if $offset + $size is larger than the size of the binary data in $in.

If the value of $in is the empty sequence, the function returns an empty sequence.

is raised if $offset is negative or $offset + $size is larger than the size of the binary data of $in.

is raised if $size is negative.

Note that fn:subsequence() and fn:substring() both use xs:double for offset and size – this is a legacy from XPath 1.0.

Testing whether $data variable starts with binary content consistent with a PDF file:

bin:part($data, 0, 4) eq bin:hex("25504446")

25504446 is the magic number for PDF files: it is the US-ASCII encoded hexadecimal value for %PDF. can be used to convert a string to its binary representation.

bin:join

Returns the binary data created by concatenating the binary data items in a sequence.

The function returns an xs:base64Binary created by concatenating the items in the sequence $in, in order.

If the value of $in is the empty sequence, the function returns a binary item containing no data bytes.

bin:insert-before

The bin:insert-before function inserts additional binary data at a given point in other binary data.

Returns binary data consisting sequentially of the data from $in upto and including the $offset - 1 octet, followed by all the data from $extra, and then the remaining data from $in.

The $offset is zero based.

The value of $offset must be a non-negative integer.

If the value of $in is the empty sequence, the function returns an empty sequence.

If the value of $extra is the empty sequence, the function returns $in.

If $offset eq 0 the result is the binary concatenation of $extra and $in, i.e. equivalent to bin:join(($extra,$in)).

is raised if $offset is negative or $offset is larger than the size of the binary data of $in.

Note that when $offset gt 0 and $offset lt bin:size($in) the function is equivalent to:

bin:join((bin:part($in,0,$offset - 1),$extra,bin:part($in,$offset)))
bin:pad-left

Returns the binary data created by padding $in with $size octets from the left. The padding octet values are $octet or zero if omitted.

The function returns an xs:base64Binary created by padding the input with $size octets in front of the input. If $octet is specified, the padding octets each have that value, otherwise they are initialized to 0.

$size must be a non-negative integer.

If the value of $in is the empty sequence, the function returns an empty sequence.

is raised if $size is negative.

is raised if $octet lies outside the range 0 – 255.

Padding with a non-zero octet value can also be accomplished by the XPath expressions:

bin:join((bin:from-octets((1 to $pad-length) ! $pad-octet), $in)) [XPath 3.0] bin:join((bin:from-octets(for $ i in (1 to $pad-length) return $pad-octet), $in)) [XPath 2.0]
bin:pad-right

Returns the binary data created by padding $in with $size blank octets from the right. The padding octet values are $octet or zero if omitted.

The function returns an xs:base64Binary created by padding the input with $size blank octets after the input. If $octet is specified, the padding octets each have that value, otherwise they are initialized to 0.

$size must be a non-negative integer.

If the value of $in is the empty sequence, the function returns an empty sequence.

is raised if $size is negative.

is raised if $octet lies outside the range 0 – 255.

Padding with a non-zero octet value can also be accomplished by the XPath expressions:

bin:join(($in,bin:from-octets((1 to $pad-length) ! $pad-octet))) [XPath 3.0] bin:join(($in,bin:from-octets(for $ i in (1 to $pad-length) return $pad-octet))) [XPath 2.0]
bin:find

Returns the first location in $in of $search, starting at the $offset octet.

The function returns the first location of the binary search sequence in the input, or if not found, the empty sequence.

If $search is empty $offset is returned.

The value of $offset must be a non-negative integer.

The $offset is zero based.

The returned location is zero based.

If the value of $in is the empty sequence, the function returns an empty sequence.

is raised if $offset is negative or $offset is larger than the size of the binary data of $in.

Finding all the matches can be accomplished with simple recursive application:

<xsl:function name="bin:find-all" as="xs:integer*"> <xsl:param name="data" as="xs:base64Binary?"/> <xsl:param name="offset" as="xs:integer"/> <xsl:param name="pattern" as="xs:base64Binary"/> <xsl:sequence select="if(bin:length($pattern) = 0) then () else let $found := bin:find($data,$offset,$pattern) return if($found) then ($found, if($found + 1 lt bin:length($data)) then bin:find-all($data,$found + 1,$pattern) else ()) else ()"/> </xsl:function>
Text decoding and encoding bin:decode-string

Decodes binary data as a string in a given encoding.

If $offset and $size are provided, the $size octets from $offset are decoded. If $offset alone is provided, octets from $offset to the end are decoded, otherwise the entire octet sequence is used.

The $encoding argument is the name of an encoding. The values for this attribute follow the same rules as for the encoding attribute in an XML declaration. The only values which every implementation is required to recognize are utf-8 and utf-16.

If $encoding is ommitted, utf-8 encoding is assumed.

The values of $offset and $size must be non-negative integers.

If the value of $in is the empty sequence, the function returns an empty sequence.

$offset is zero based.

is raised if $offset is negative or $offset + $size is larger than the size of the binary data of $in.

is raised if $size is negative.

is raised if $encoding is invalid or not supported by the implementation.

is raised if there is an error or malformed input during decoding the string. Additional information about the error may be passed through suitable error reporting mechanisms – this is implementation-dependant.

Testing whether $data variable starts with binary content consistent with a PDF file:

bin:decode-string($data, 'UTF-8', 0, 4) eq '%PDF'

The first four characters of a PDF file are '%PDF'.

bin:encode-string

Encodes a string into binary data using a given encoding.

The $encoding argument is the name of an encoding. The values for this attribute follow the same rules as for the encoding attribute in an XML declaration. The only values which every implementation is required to recognize are utf-8 and utf-16.

If $encoding is ommitted, utf-8 encoding is assumed.

If the value of $in is the empty sequence, the function returns an empty sequence.

is raised if $encoding is invalid or not supported by the implementation.

is raised if there is an error or malformed input during encoding the string. Additional information about the error may be passed through suitable error reporting mechanisms – this is implementation-dependant.

Packing and unpacking of encoded numeric values Number 'endianness'

Packing and unpacking numeric values can be performed in 'most-significant-first' ('big-endian') or 'least-significant-first' ('little-endian') octet order. The default is 'most-significant-first'. The functions have an optional parameter $octet-order whose string value controls the order. Least-significant-first order is indicated by any of the values least-significant-first, little-endian or LE. Most-significant-first order is indicated by any of the values most-significant-first, big-endian or BE.

Integer representation

Integers within binary data are represented, or assumed to be represented, as an integral number of octets. Integers where $length is greater than 8 octets (and thus not representable as a long) might be expected in some situations, e.g. encryption. Whether the range of integers is limited to ±2^63 may be implementation-dependant.

Representation of floating point numbers

Care should be taken with the packing and unpacking of floating point numbers (xs:float and xs:double). The binary representations are expected to correspond with those of the IEEE single/double-precision 32/64-bit floating point types . Consequently they will occupy 4 or 8 octets when packed.

Positive and negative infinities are supported. INF maps to 0x7f80 0000 (float), 0x7ff0 0000 0000 0000 (double). -INF maps to 0xff80 0000 (float), 0xfff0 0000 0000 0000 (double).

Negative zero (0x8000 0000 0000 0000 double, 0x8000 0000 float) encountered during unpacking will yield negative zero forms (e.g. -xs:double(0.0)) and negative zeros will be written as a result of packing.

provides only one form of NaN which corresponds to a 'quiet' NaN with zero payload of with forms 0x7fc0 0000 (float), 0x7ff8 0000 0000 0000 (double). These are the bit forms that will be packed. 'Signalling' NaN values (0x7f80 0001 -> 0x7fbf ffff or 0xff80 0001 -> 0xffbf ffff, 0x7ff0 0000 0000 0001 -> 0x7ff7 ffff ffff ffff or 0xfff0 0000 0000 0001 -> 0xfff7 ffff ffff ffff) encountered during unpacking will be replaced by 'quiet' NaN. Any low-order payload in a unpacked quiet NaN is also zeroed.

bin:pack-double

Returns the 8-octet binary representation of a double value.

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in .

The binary representation will correspond with that of the IEEE double-precision 64-bit floating point type . For more details see .

is raised if the value $octet-order is unrecognized.

bin:pack-float

Returns the 4-octet binary representation of a float value.

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in .

The binary representation will correspond with that of the IEEE single-precision 32-bit floating point type . For more details see .

is raised if the value $octet-order is unrecognized.

bin:pack-integer

Returns the twos-complement binary representation of an integer value treated as $size octets long. Any 'excess' high-order bits are discarded.

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in .

Specifying a $size of zero yields an empty binary data.

is raised if the value $octet-order is unrecognized.

is raised if $size is negative.

If the integer being packed has a maximum precision of $size octets, then signed/unsigned versions are not necessary. If the data is considered unsigned, then the most significant bit of the bottom $size octets has a normal positive (2^(8 *$size - 1)) meaning. If it is considered to be a signed value, then the MSB and all the higher order, discarded bits will be '1' for a negative value and '0' for a positive or zero. If this function were to check the 'sizing' of the supplied integer against the packing size, then any values of MSB and the discarded higher order bits other than 'all 1' or 'all 0' would constitute an error. This function does not perfom such checking.

bin:unpack-double

Extract double value stored at the particular offset in binary data.

Extract the double value stored in the 8 successive octets from the $offset octet of the binary data of $in.

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in .

The value of $offset must be a non-negative integer.

The $offset is zero based.

The binary representation is expected to correspond with that of the IEEE double-precision 64-bit floating point type . For more details see .

is raised if $offset is negative or $offset + 8 (octet-length of xs:double) is larger than the size of the binary data of $in.

is raised if the value $octet-order is unrecognized.

bin:unpack-float

Extract float value stored at the particular offset in binary data.

Extract the float value stored in the 4 successive octets from the $offset octet of the binary data of $in.

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in .

The value of $offset must be a non-negative integer.

The $offset is zero based.

The binary representation is expected to correspond with that of the IEEE single-precision 32-bit floating point type . For more details see .

is raised if $offset is negative or $offset + 4 (octet-length of xs:float) is larger than the size of the binary data of $in.

is raised if the value $octet-order is unrecognized.

bin:unpack-integer

Returns a signed integer value represented by the $size octets starting from $offset in the input binary representation. Necessary sign extension is performed (i.e. the result is negative if the high order bit is '1').

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in .

The values of $offset and $size must be non-negative integers.

$offset is zero based.

Specifying a $size of zero yields the integer 0.

is raised if $offset is negative or $offset + $size is larger than the size of the binary data of $in.

is raised if $size is negative.

is raised if the value $octet-order is unrecognized.

For discussion on integer range see .

bin:unpack-unsigned-integer

Returns an unsigned integer value represented by the $size octets starting from $offset in the input binary representation.

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in .

The values of $offset and $size must be non-negative integers.

The $offset is zero based.

Specifying a $size of zero yields the integer 0.

is raised if $offset is negative or $offset + $size is larger than the size of the binary data of $in.

is raised if $size is negative.

is raised if the value $octet-order is unrecognized.

For discussion on integer range see .

Bitwise operations bin:or

Returns the "bitwise or" of two binary arguments.

Returns "bitwise or" applied between $a and $b.

If either argument is the empty sequence, an empty sequence is returned.

is raised if the input arguments are of differing length.

bin:xor

Returns the "bitwise xor" of two binary arguments.

Returns "bitwise exclusive or" applied between $a and $b.

If either argument is the empty sequence, an empty sequence is returned.

is raised if the input arguments are of differing length.

bin:and

Returns the "bitwise and" of two binary arguments.

Returns "bitwise and" applied between $a and $b.

If either argument is the empty sequence, an empty sequence is returned.

is raised if the input arguments are of differing length.

bin:not

Returns the "bitwise not" of a binary argument.

Returns "bitwise not" applied to $in.

If the argument is the empty sequence, an empty sequence is returned.

bin:shift

Shift bits in binary data.

If $by is positive then bits are shifted $by times to the left.

If $by is negative then bits are shifted -$by times to the right.

If $by is zero, the result is identical to $in.

If |$by| is greater than the bit-length of $in then an all-zeros result, of the same length as $in, is returned.

|$by| can be greater than 8, implying multi-byte shifts.

The result always has the same size as $in.

The shifting is logical: zeros are placed into discarded bits.

If the value of $in is the empty sequence, the function returns an empty sequence.

Bit shifting across byte boundaries implies 'big-endian' treatment, i.e. the leftmost (high-order) bit when shifted left becomes the low-order bit of the preceding byte.

bin:shift(bin:hex("000001"), 17) → bin:hex("020000")
References OSI networking and system aspects – Abstract Syntax Notation One (ASN.1) – see ASN.1 encoding rules: Specification of Basic Encoding Rules (BER), Canonical Encoding Rules (CER) and Distinguished Encoding Rules (DER) . ITU-T X.690 (07/2002) File Module. Christian Grün and Matthias Brantner, editors. EXPath Candidate Module. 14 June 2012. XPath and XQuery Functions and Operators 3.0. Michael Kay, editor. W3C Candidate Recommendation 21 May 2013. IEEE Standard for Binary Floating-Point Arithmetic. See http://standards.ieee.org/reading/ieee/std_public/description/busarch/754-1985_desc.html XML Query Test Suite. W3C 21 June 2013. The test suite for this module, using QT3 format, is in the EXPath repository http://github.com/expath/expath-cg in the directory tests/qt3/binary/ W3C XML Schema Definition Language (XSD) 1.1 Part 2: Datatypes. David Peterson et al, editors. W3C Recommendation 5 April 2012. Summary of error conditions The arguments to a bitwise operation are of differing length. Attempting to retrieve data outside the meaningful range of a binary data type. Size of binary portion, required numeric size or padding is negative. Attempting to pack binary value with octet outside range. Wrong character in binary 'numeric constructor' string. The specified encoding is not supported. Error in converting to/from a string. Unknown octet-order value.