W3C

EXPath Binary Module 4.0

W3C Editor's Draft 9 December 2024

This version:
https://qt4cg.org/branch/johnlumley-expath/EXPath/binary-40/
Latest version of EXPath Binary Module 4.0:
https://qt4cg.org/specifications/EXPath/binary-40/
Most recent Recommendation of EXPath Binary Module:
http://expath.org/spec/binary
Editors:
Jirka Kosek <http://kosek.com/>
John Lumley <http://www.saxonica.com/>

Please check the errata for any errors or issues reported since publication.

See also translations.

This document is also available in these non-normative formats: Specification in XML format using HTML5 vocabulary and XML function catalog.


Abstract

This document defines an API for XPath 4.0 to handle the manipulation of binary data. It defines extension functions to process data from, and generate date for, binary resources, including extracting subparts, searching, basic binary operations and conversion between binary and structured forms of XDM numbers and strings.

The document is an update of the original [EXPath Binary 1.0] specification, developed by the EXPath Community Group, defined for [XML Path Language (XPath) 2.0] and published in 2013.

The principal semantic alteration is use of functional argument defaults available in XPath 4.0.

These functions are defined for use in [XML Path Language (XPath) 4.0] and [XQuery 4.1: An XML Query Language] and [XSL Transformations (XSLT) Version 4.0] and other related XML standards. The signatures and summaries of functions defined in this document are available at: https://qt4cg.org/specifications/EXPath/binary-40/.

A summary of changes since published version 1.0 (the XPath 2.0 version) is provided at F Changes since version 1.0.

Status of this Document

This version of the specification is work in progress. It is produced by the QT4 Working Group, officially the W3C XSLT 4.0 Extensions Community Group. Individual functions specified in the document may be at different stages of review, reflected in their History notes. Comments are invited, in the form of GitHub issues at https://github.com/qt4cg/qtspecs.


1 Introduction

Changes in 4.0 

  1. Use the arrows to browse significant changes since the 1.0 version of this specification.

  2. Sections with significant changes are marked Δ in the table of contents. New functions introduced in this version are marked ➕ in the table of contents.

The purpose of this document is to define functions to manipulate binary data for inclusion in XPath 4.0, XQuery 4.0, and XSLT 4.0. The binary data is represented by the type xs:base64Binary as defined by Section 3.2.16 base64BinaryXS2.

The exact syntax used to call these functions and operators is specified in [XML Path Language (XPath) 4.0], [XQuery 4.1: An XML Query Language] and [XSL Transformations (XSLT) Version 4.0].

This document defines several classes of functions:

References to specific sections of some other specifications are indicated by cross-document links in this document. Each such link consists of a pointer to a specific section followed a superscript specifying the linked document. The superscripts have the following meanings: FILE40 [EXPath File 4.0], FO40 [XQuery and XPath Functions and Operators 4.0] and XS2 [XML Schema Part 2: Datatypes Second Edition]

1.1 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.)

In this specification these codes use the http://expath.org/ns/binary namespace and a 'descriptive string' local part, e.g. bin:index-out-of-range, rather than the http://www.w3.org/2005/xqt-errors namespace and alpha-numeric local part, e.g. err:FOCH0004, used in [XQuery and XPath Functions and Operators 4.0]. These error codes were chosen originally in the 1.0 version of 2013.

1.2 Binary type

Changes in 4.0  

  1. Binary 'data' arguments to the functions are now declared to be either xs:hexBinary or xs:base64Binary, but binary function results remain of type xs:base64Binary. This should not cause any backward incompatibilities as casting back and forth between the two representations has been possible since at least version 2.0

The principal binary type within this module is xs:base64Binary as defined by Section 3.2.16 base64BinaryXS2.

In general, for the functions defined in this specification, if the result return is binary data, it will always be of type xs:base64Binary. Any arguments to a function which are considered to be binary data can be either of type xs:base64Binary or xs:hexBinary.

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

Note:

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.

1.3 Test suite

A suite of test-cases for all the functions defined in this module, in [QT3] format, is defined at [Test-suite].

1.4 Conformance

This specification follows the general remarks on and terminology for conformance given in Section 1.2 ConformanceFO

In this document, text labeled as an example or as a note is provided for explanatory purposes and is not normative.

1.5 Namespaces and prefixes

The functions defined in this document are contained exclusively in the namespace http://expath.org/ns/binary and referenced using a xs:QName binding to that namespace.

This document uses the prefix bin to refer to this namespace. User-written applications can choose a different prefix to refer to the namespace, so long as it is bound to the correct URI. In accordance with current practice, it is recommended that the prefix bin be reserved for use with this namespace.

1.6 Function signatures and descriptions

Each function (or group of functions having the same name) is defined in this specification using a standard proforma, full details of which can be found in Section 1.5 Function signatures and descriptionsFO. In particular in this update (trailing) optional arguments for functions (introduced in XPath 4.0) are used where appropriate in the signatures, rather than multiple-arity signatures as previously.

2 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:

2.1 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.)

2.2 Example – reading and writing variable length ASN.1 integers

Changes in 4.0  

  1. The functions in this example have been moved into a differing namespace prefix (asn:) to avoid suggesting that they are part of the supported function set.

[ASN.1] 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 accommodate 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="asn: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),$value mod 256) else ()"/>
 </xsl:function>
 <xsl:function name="asn:encode-ASN-integer" as="xs:base64Binary">
     <xsl:param name="int" as="xs:integer"/>
     <xsl:variable name="octets" select="bin:int-octets($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 asn: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:

 asn:encode-ASN-integer(0) → "AgA="
 asn:encode-ASN-integer(1234) → "AgIE0g=="
 asn:encode-ASN-integer(123456789123456789123456789123456789) → "Ag8XxuPAMviQRa10ZoQEXxU="
               
 asn: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="asn: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:

 asn:decode-ASN-integer(xs:base64Binary("AgA=")) → 0
 asn:decode-ASN-integer(xs:base64Binary("AgIE0g==")) → 1234
 asn:encode-ASN-integer(xs:base64Binary("Ag8XxuPAMviQRa10ZoQEXxU=")) 
     → 123456789123456789123456789123456789              
 asn:encode-ASN-integer(xs:base64Binary("AoIBdgaTo....EBF8V")) 
     → 123456789.. 900 digits... 123456789

3 Loading and saving binary data

Changes in 4.0  

  1. The [XQuery and XPath Functions and Operators 4.0] function fn:binary-resource has been added to the list of useful functions.

This module defines no specific functions for reading and writing binary data from resources, but other specifications provide some suitable mechanisms.

[XQuery and XPath Functions and Operators 4.0] provides a function to retrieve binary resources:

fn:fn:binary-resource(
$filesource as xs:string?
) as xs:base64Binary

The EXPath File Module [EXPath File 4.0] provides three functions suitable for use in file-based situations:

fn:file:read-binary(
$file as xs:string,
$offset as xs:integer? := 0,
$size as xs:integer? := ()
) as xs:base64Binary

which reads binary data from an existing file, with an optional offset and size.

fn:file:write-binary(
$file as xs:string,
$value as xs:base64Binary
) as empty-sequence()

which writes binary data into a new or existing file.

fn:file:append-binary(
$file as xs:string,
$value as xs:base64Binary
) as empty-sequence()

which appends binary data onto the end of an extant file.

4 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:

4.1 bin:hex

Summary

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

Signature
bin:hex(
$in as xs:string?
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

$in will be effectively zero-padded from the left to generate an integral number of octets, i.e. an even number of hexadecimal digits.

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

If $in is an empty string, then the result will be a xs:base64Binary with no embedded data.

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

Error Conditions

[bin:non-numeric-character] is raised if $in cannot be parsed as a hexadecimal number.

Notes

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

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

4.2 bin:bin

Summary

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

Signature
bin:bin(
$in as xs:string?
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

$in will be effectively zero-padded from the left to generate an integral number of octets (i.e. the number of characters in $in will be a multiple of 8).

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

If $in is an empty string, then the result will be a xs:base64Binary with no embedded data.

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

Error Conditions

[bin:non-numeric-character] is raised if $in cannot be parsed as a binary number.

Examples
bin:bin('1101000111010101') → "0dU="
bin:bin('1000111010101') → "EdU="

4.3 bin:octal

Summary

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

Signature
bin:octal(
$in as xs:string?
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

$in will be effectively zero-padded from the left to generate an integral number of octets.

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

If $in is an empty string, then the result will be a xs:base64Binary with no embedded data.

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

Error Conditions

[bin:non-numeric-character] is raised if $in cannot be parsed as an octal number.

Examples
bin:octal('11223047') → "JSYn"

4.4 bin:to-octets

Summary

Returns binary data as a sequence of integer octets.

Signature
bin:to-octets(
$in as (xs:hexBinary | xs:base64Binary)
) as xs:integer*
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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

Octets are returned as integers from 0 to 255.

4.5 bin:from-octets

Summary

Converts a sequence of octets into binary data.

Signature
bin:from-octets(
$in as xs:integer*
) as xs:base64Binary
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

Octets are integers from 0 to 255.

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

Error Conditions

[bin:octet-out-of-range] is raised if one of the octets lies outside the range 0 – 255.

5 Basic operations

Changes in 4.0 

  1. The function find-all in the example for bin:find has been moved into a differing namespace prefix (f:) to avoid suggesting that it is part of the supported function set.

5.1 bin:length

Summary

Returns the size of binary data, measured in octets.

Signature
bin:length(
$in as (xs:hexBinary | xs:base64Binary)
) as xs:integer
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

Returns the size of binary data in octets.

Formal Specification

The effect of the function is equivalent to the result of the following XPath expression.

count(bin:to-octets($in))

5.2 bin:part

Summary

Returns a specified part of binary data.

Signature
bin:part(
$in as (xs:hexBinary | xs:base64Binary)?,
$offset as xs:integer,
$size as xs:integer? := ()
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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.

Error Conditions

[bin:index-out-of-range] is raised if $offset is negative or $offset + $size is larger than the size of the binary data of $in.

[bin:negative-size] is raised if $size is negative.

Notes

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

Examples

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. bin:encode-string can be used to convert a string to its binary representation.

5.3 bin:join

Summary

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

Signature
bin:join(
$in as (xs:hexBinary | xs:base64Binary)*
) as xs:base64Binary
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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.

Formal Specification

The effect of the function is equivalent to the result of the following XPath expression.

bin:from-octets($in !
            bin:to-octets(.))

5.4 bin:insert-before

Summary

Inserts additional binary data at a given point in other binary data.

Signature
bin:insert-before(
$in as (xs:hexBinary | xs:base64Binary)?,
$offset as xs:integer,
$extra as xs:base64Binary?
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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)).

Error Conditions

[bin:index-out-of-range] is raised if $offset is negative or $offset is larger than the size of the binary data of $in.

Notes

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)))

5.5 bin:pad-left

Summary

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

Signature
bin:pad-left(
$in as (xs:hexBinary | xs:base64Binary)?,
$size as xs:integer,
$octet as xs:integer? := 0
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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.

Formal Specification

The effect of the function is equivalent to the result of the following XPath expression, except in error cases.

bin:join((bin:from-octets((1 to $size) ! $octet), $in))
Error Conditions

[bin:negative-size] is raised if $size is negative.

[bin:octet-out-of-range] is raised if $octet lies outside the range 0 – 255.

5.6 bin:pad-right

Summary

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.

Signature
bin:pad-right(
$in as (xs:hexBinary | xs:base64Binary)?,
$size as xs:integer,
$octet as xs:integer? := 0
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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.

Formal Specification

The effect of the function is equivalent to the result of the following XPath expression, except in error cases.

bin:join((bin:from-octets($in,(1 to $size) ! $octet)))
Error Conditions

[bin:negative-size] is raised if $size is negative.

[bin:octet-out-of-range] is raised if $octet lies outside the range 0 – 255.

5.7 bin:find

Summary

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

Signature
bin:find(
$in as (xs:hexBinary | xs:base64Binary)?,
$offset as xs:integer,
$search as (xs:hexBinary | xs:base64Binary)
) as xs:integer?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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.

Error Conditions

[bin:index-out-of-range] is raised if $offset is negative or $offset is larger than the size of the binary data of $in.

Notes

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

<xsl:function name="f: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 f:find-all($data,$found + 1,$pattern) else ())
             else ()"/>
</xsl:function>

6 Text decoding and encoding

6.1 bin:decode-string

Summary

Decodes binary data as a string in a given encoding.

Signature
bin:decode-string(
$in as (xs:hexBinary | xs:base64Binary)?,
$encoding as xs:string? := 'utf-8',
$offset as xs:integer? := 0,
$size as xs:integer? := ()
) as xs:string?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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 omitted, 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.

Error Conditions

[bin:index-out-of-range]is raised if $offset is negative or $offset + $size is larger than the size of the binary data of $in.

[bin:negative-size] is raised if $size is negative.

[bin:unknown-encoding] is raised if $encoding is invalid or not supported by the implementation.

[bin:conversion-error] 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.

Examples

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'.

6.2 bin:encode-string

Summary

Encodes a string into binary data using a given encoding.

Signature
bin:encode-string(
$in as xs:string?,
$encoding as xs:string? := 'utf-8'
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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 omitted, utf-8 encoding is assumed.

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

Error Conditions

[bin:unknown-encoding] is raised if $encoding is invalid or not supported by the implementation.

[bin:conversion-error]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.

7 Packing and unpacking of encoded numeric values

7.1 Numeric representation

7.1.1 Number 'endianness'

Packing and unpacking numeric values within binary data can be performed in 'most-significant-first' ('big-endian') or 'least-significant-first' ('little-endian') octet order. The default is 'most-significant-first'. The relevant 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.

7.1.2 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 is implementation-dependentFO.

7.1.3 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 [IEEE 754-1985]. 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.

[XML Schema Part 2: Datatypes Second Edition] provides only one form of NaN which corresponds to a 'quiet' NaN with zero payload of [IEEE 754-1985] with forms 0x7fc0 0000 (float), 0x7ff8 0000 0000 0000 (double). These are the bit forms that will be packed.

'Signalling' NaN values (0x7f80 00010x7fbf ffff or 0xff80 00010xffbf ffff, 0x7ff0 0000 0000 00010x7ff7 ffff ffff ffff or 0xfff0 0000 0000 00010xfff7 ffff ffff ffff) encountered during unpacking will be replaced by 'quiet' NaN. Any low-order payload in a unpacked 'quiet' NaN is also zeroed.

7.2 bin:pack-double

Summary

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

Signature
bin:pack-double(
$in as xs:double,
$octet-order as xs:string? := 'most-significant-first'
) as xs:base64Binary
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in 7.1.1 Number 'endianness'.

The binary representation will correspond with that of the IEEE double-precision 64-bit floating point type [IEEE 754-1985]. For more details see 7.1.3 Representation of floating point numbers.

Error Conditions

[bin:unknown-significance-order] is raised if the value $octet-order is unrecognized.

7.3 bin:pack-float

Summary

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

Signature
bin:pack-float(
$in as xs:float,
$octet-order as xs:string? := 'most-significant-first'
) as xs:base64Binary
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in 7.1.1 Number 'endianness'.

The binary representation will correspond with that of the IEEE single-precision 32-bit floating point type [IEEE 754-1985]. For more details see 7.1.3 Representation of floating point numbers.

Error Conditions

[bin:unknown-significance-order] is raised if the value $octet-order is unrecognized.

7.4 bin:pack-integer

Summary

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

Signature
bin:pack-integer(
$in as xs:integer,
$size as xs:integer,
$octet-order as xs:string? := 'most-significant-first'
) as xs:base64Binary
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in 7.1.1 Number 'endianness'.

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

Error Conditions

[bin:unknown-significance-order] is raised if the value $octet-order is unrecognized.

[bin:negative-size] is raised if $size is negative.

Notes

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 perform such checking.

7.5 bin:unpack-double

Summary

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

Signature
bin:unpack-double(
$in as (xs:hexBinary | xs:base64Binary),
$offset as xs:integer,
$octet-order as xs:string? := 'most-significant-first'
) as xs:double
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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 7.1.1 Number 'endianness'.

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 [IEEE 754-1985]. For more details see 7.1.3 Representation of floating point numbers.

Error Conditions

[bin:index-out-of-range] 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.

[bin:unknown-significance-order] is raised if the value $octet-order is unrecognized.

7.6 bin:unpack-float

Summary

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

Signature
bin:unpack-float(
$in as (xs:hexBinary | xs:base64Binary),
$offset as xs:integer,
$octet-order as xs:string? := 'most-significant-first'
) as xs:float
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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 7.1.1 Number 'endianness'.

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 [IEEE 754-1985]. For more details see 7.1.3 Representation of floating point numbers.

Error Conditions

[bin:index-out-of-range] 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.

[bin:unknown-significance-order] is raised if the value $octet-order is unrecognized.

7.7 bin:unpack-integer

Summary

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').

Signature
bin:unpack-integer(
$in as (xs:hexBinary | xs:base64Binary),
$offset as xs:integer,
$size as xs:integer,
$octet-order as xs:string? := 'most-significant-first'
) as xs:integer
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in 7.1.1 Number 'endianness'.

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

$offset is zero based.

Specifying a $size of zero yields the integer 0.

Error Conditions

[bin:index-out-of-range] is raised if $offset is negative or $offset + $size is larger than the size of the binary data of $in.

[bin:negative-size] is raised if $size is negative.

[bin:unknown-significance-order] is raised if the value $octet-order is unrecognized.

Notes

For discussion on integer range see 7.1.2 Integer representation.

7.8 bin:unpack-unsigned-integer

Summary

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

Signature
bin:unpack-unsigned-integer(
$in as (xs:hexBinary | xs:base64Binary),
$offset as xs:integer,
$size as xs:integer,
$octet-order as xs:string? := 'most-significant-first'
) as xs:integer
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

Most-significant-octet-first number representation is assumed unless the $octet-order parameter is specified. Acceptable values for $octet-order are described in 7.1.1 Number 'endianness'.

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.

Error Conditions

[bin:index-out-of-range] is raised if $offset is negative or $offset + $size is larger than the size of the binary data of $in.

[bin:negative-size] is raised if $size is negative.

[bin:unknown-significance-order] is raised if the value $octet-order is unrecognized.

Notes

For discussion on integer range see 7.1.2 Integer representation.

8 Bitwise operations

8.1 bin:or

Summary

Returns the "bitwise or" of two binary arguments.

Signature
bin:or(
$a as (xs:hexBinary | xs:base64Binary)?,
$b as (xs:hexBinary | xs:base64Binary)?
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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

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

Error Conditions

[bin:differing-length-arguments] is raised if the input arguments are of differing length.

8.2 bin:xor

Summary

Returns the "bitwise xor" of two binary arguments.

Signature
bin:xor(
$a as (xs:hexBinary | xs:base64Binary)?,
$b as (xs:hexBinary | xs:base64Binary)?
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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

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

Error Conditions

[bin:differing-length-arguments] is raised if the input arguments are of differing length.

8.3 bin:and

Summary

Returns the "bitwise and" of two binary arguments.

Signature
bin:and(
$a as (xs:hexBinary | xs:base64Binary)?,
$b as (xs:hexBinary | xs:base64Binary)?
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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

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

Error Conditions

[bin:differing-length-arguments] is raised if the input arguments are of differing length.

8.4 bin:not

Summary

Returns the "bitwise not" of a binary argument.

Signature
bin:not(
$in as (xs:hexBinary | xs:base64Binary)?
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

Returns "bitwise not" applied to $in.

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

8.5 bin:shift

Summary

Shift bits in binary data.

Signature
bin:shift(
$in as (xs:hexBinary | xs:base64Binary)?,
$by as xs:integer
) as xs:base64Binary?
Properties

This function is deterministicFO, context-independentFO, and focus-independentFO.

Rules

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.

Notes

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.

Examples
Expression:
bin:shift(bin:hex("000001"), 17)
Result:
bin:hex("020000")

A References

A.1 Normative references

EXPath Binary 1.0
Binary Module 1.0. Jirka Kosek and John Lumley, editors. EXPath Module. 3 December 2013.
EXPath File 1.0
File Module 1.0. Christian Grün, Matthias Brantner and Gabriel Petrovay, editors. EXPath Module 20 February 2015.
EXPath File 4.0
EXPath File Module 4.0, Christian Grün, Matthias Brantner and Gabriel Petrovay, editors. XSLT Extensions Community Group, World Wide Web Consortium.
IEEE 754-1985
IEEE 754-2019
IEEE. IEEE Standard for Floating-Point Arithmetic.
XML Path Language (XPath) 2.0
XML Path Language (XPath) 2.0 (Second Edition), Don Chamberlin, Anders Berglund, Scott Boag, et. al., Editors. World Wide Web Consortium, 14 December 2010. This version is https://www.w3.org/TR/2010/REC-xpath20-20101214/. The latest version is available at https://www.w3.org/TR/xpath20/.
XQuery and XPath Functions and Operators 4.0
XQuery and XPath Functions and Operators 4.0, XSLT Extensions Community Group, World Wide Web Consortium.
XML Path Language (XPath) 4.0
XSL Transformations (XSLT) Version 4.0
CITATION: T.B.D.
XQuery and XPath Data Model (XDM) 4.0
XQuery and XPath Data Model (XDM) 4.0, XSLT Extensions Community Group, World Wide Web Consortium.
XQuery 4.1: An XML Query Language
CITATION: T.B.D.
XML Schema Part 2: Datatypes Second Edition
XML Schema Part 2: Datatypes Second Edition, Oct. 28 2004. Available at: http://www.w3.org/TR/xmlschema-2/

A.2 Non-normative references

ASN.1
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)
Test-suite
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/
QT3
XML Query Test Suite. W3C 21 June 2013.
EXPath
EXPath: Collaboratively Defining Open Standards for Portable XPath Extensions. http://expath.org/.

B Error summary

The error text provided with these errors is non-normative.

bin:conversion-error

Error in converting to/from a string.

bin:differing-length-arguments, Arguments of different length

The two arguments to a bitwise operation are of differing lengths.

bin:index-out-of-range

Attempting to retrieve data outside the meaningful range of a binary data type.

bin:negative-size

Size of binary portion, required numeric size or padding is negative.

bin:non-numeric-character

Wrong character in binary 'numeric constructor' string.

bin:octet-out-of-range

Attempting to pack binary value with octet outside range 0-255.

bin:unknown-encoding

The specified encoding is not supported.

bin:unknown-significance-order

Unknown octet-order value.

C Glossary (Non-Normative)

D Other Functions (Non-Normative)

This Appendix describes some sources of functions or operators that fall outside the scope of the function library defined in this specification. It includes both function specifications and function implementations. Inclusion of a function in this appendix does not constitute any kind of recommendation or endorsement; neither is omission from this appendix to be construed negatively. This Appendix does not attempt to give any information about licensing arrangements for these function specifications or implementations.

D.1 XPath Functions and Operators Defined in Other W3C Recommendations

A number of W3C Recommendations make use of XPath, and in some cases such Recommmendations define additional functions to be made available when XPath is used in a specific host language.

D.1.1 Functions and Operators Defined in XPath and XQuery Functions and Operators

Of particular interest to this specification, [XQuery and XPath Functions and Operators 4.0] defines

  • Comparison operators on xs:hexBinary and xs:base64Binary values, defining the semantics of the eq, ne, lt and ge operators applied to binary data. Each returns a boolean value.

  • A function to retrieve the value of a binary resource

Function name Availability Notes
Section 11.1.1 op:binary-equalFO XPath4.0+ Returns true if both binary values contain the same octet sequence.
Section 11.1.2 op:binary-less-thanFO XPath4.0+ Returns true if the first argument is less than the second.
[TITLE OF FO40 SPEC, TITLE OF func-binary-resource SECTION]FO40 XPath4.0+ Returns a resource as xs:base64Binary.

D.2 Functions Defined by Community Groups

D.2.1 Functions Defined in EXPath File

Of particular interest to this specification, [EXPath File 4.0] defines the following functions for input and output of xs:base64Binary values:

Function name Availability Notes
Section 4.5 file:read-binaryFILE XPath4.0+ Returns the content of a file in its Base64 representation.
Section 4.9 file:write-binaryFILE XPath4.0+ Writes a Base64 item as binary data to a file.
Section 4.2 file:append-binaryFILE XPath4.0+ Appends a Base64 item as binary data to a file.

E Checklist of implementation-defined features (Non-Normative)

    F Changes since version 1.0 (Non-Normative)

    F.1 Summary of Changes

    1. Use the arrows to browse significant changes since the 1.0 version of this specification.

      See 1 Introduction

    2. Sections with significant changes are marked Δ in the table of contents. New functions introduced in this version are marked ➕ in the table of contents.

      See 1 Introduction

    3. Binary 'data' arguments to the functions are now declared to be either xs:hexBinary or xs:base64Binary, but binary function results remain of type xs:base64Binary. This should not cause any backward incompatibilities as casting back and forth between the two representations has been possible since at least version 2.0

      See 1.2 Binary type

    4. The functions in this example have been moved into a differing namespace prefix (asn:) to avoid suggesting that they are part of the supported function set.

      See 2.2 Example – reading and writing variable length ASN.1 integers

    5. The [XQuery and XPath Functions and Operators 4.0] function fn:binary-resource has been added to the list of useful functions.

      See 3 Loading and saving binary data

    6. The function find-all in the example for bin:find has been moved into a differing namespace prefix (f:) to avoid suggesting that it is part of the supported function set.

      See 5 Basic operations

    F.2 Changes to Function Signatures

    1. The function signatures of all the specified signatures now use the 'optional argument' syntax of XPath 4.0 where appropriate, rather than giving several signatures of differing arity. Other than that, no intended change to the semantics of the functions are assumed.

    F.3 Editorial Changes

    These changes are not highlighted in the change-marked version of the specification.

    1. The example functions in 2.2 Example – reading and writing variable length ASN.1 integers have been moved into a differing namespace prefix (asn:) to avoid suggesting that they are part of the supported function set. This is in accordance with the principle that the namespace http://expath.org/ns/binary is reserved solely for use in QNames for functions specified in this module.

    G Compatibility with Previous Versions (Non-Normative)

    This section summarizes the extent to which this specification is compatible with previous versions.

    Version 4.0 of this function library is fully backwards compatible with version 1.0, except as noted below:

    1. The use of optional arguments in the function signatures means that minor alterations to possible function calls, which would be invalid in 1.0, are now supported. For example:

      bin:decode-string($string,'utf-8',0,())

      would be invalid in 1.0, as the fourth argument $size is defined to be of type xs:integer. It is valid for 4.0 as the empty sequence denotes default behaviour, that is decoding all octets after $offset

      The functions bin:decode-string,bin:encode-string, bin:pack-double, bin:pack-float, bin:pack-integer, bin:pad-left, bin:pad-right, bin:part, bin:unpack-double, bin:unpack-float, bin:unpack-integer and bin:unpack-unsigned-integer all have similar incompatibilities.