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This document describes the lexical elements that occur in the DAP4 grammar.

Within the Relax-NG (rng) DAP4 grammar, there are markers for occurrences of primitive type such as integers, floats, or strings. The markers typically look like this when defining an attribute that can occur in the DAP4 DDX.

<attribute name="namespace"><data type="string"/></attribute>

The "<data type="string"/>" specifies the lexical class for the values that this attribute can have. In this case, the namespace attribute is defined to have a String value. Similar notation is used for values occurring as text within an xml element. The lexical specification later in this document defines the legal lexical structure for such lexical items. Specifically, it defines the format of the following lexical items.

1. Constants, namely: string, float, integer, and character.
2. Identifiers

The specification is written using the ISO/IEC 9945-2:2003 Information technology -- Portable Operating System Interface (POSIX) -- Part 2: System Interfaces. This is the extended Posix regular expression specification.

I have augmented it in the following ways.

1. Names are assigned to regular expressions using the notation

   name = regular-expression

2. Named expressions can be used in subsequent regular expressions by using the notation {name}. Such occurrences are equivalent to textually substituting the expression associated with name for the {name} occurrence: More or less like a macro.

DAP4 Lexical elements

Notes:

1. The definition of {UTF8} is deferred to the next section.

2. Comments are indicated using the "//" notation.

3. Standard xml escape formats (&xDD) are assumed to be allowed anywhere.

Basic character set definitions

CONTROLS   = [\x00-\x1F] // ASCII control characters
WHITESPACE = [ \r\t\f]+
HEXCHAR    = [0-9a-zA-Z]
// ASCII printable characters
ASCII      = [0-9a-zA-Z !"#$%&'()*+,-./:;<=>?@[\\\]\\^_`|{}~]

Ascii characters that may appear unescaped in Identifiers
This is assumed to be basically all ASCII printable characters except the characters ' ', '.', '/', '"', ''', and '&'. Occurrences of these characters are assumed to be representable using the standard xml '&xx;' notation.

IDASCII    = [0-9a-zA-Z!#$%'()*+,-:;<=>?@[\\\]\\^_`|{}~]

The numeric classes: integer and float

INTEGER    = {INT}|{UINT}|{HEXINT}
INT        = [+-][0-9]+{INTTYPE}?
UINT       = [0-9]+{INTTYPE}?
HEXINT     = {HEXSTRING}{INTTYPE}?
INTTYPE    = ([BbSsLl]|"ll"|"LL")
HEXSTRING  = (0[xX]{HEXCHAR}+)

FLOAT      = ({MANTISSA}{EXPONENT}?)|{NANINF}
EXPONENT   = ([eE][+-]?[0-9]+)
MANTISSA   = [+-]?[0-9]*\.[0-9]*
NANINF     = (-?inf|nan|NaN)

The Character classes

STRING     = ([^"\&]|{XMLESCAPE})*
CHARACTER  = ([^'\&]|{XMLESCAPE})

Note that the character type only supports ASCII characters because it can only hold a single 8-bit byte.

The Identifier class

ID         = {IDCHAR}+
IDCHAR     = ({IDASCII}|{XMLESCAPE}|{UTF8})
XMLESCAPE  = &x{HEXCHAR}{HEXCHAR};

Note that the above lexical element classes are not disjoint. For example, the sequence of characters 1234 can be either an identifer,a float, or an integer. So the order of testing is assumed to be this.

1. INTEGER
2. FLOAT
3. ID
4. STRING

UTF-8 Character Encodings

We discuss UTF-8 character encoding in the context of this document. http://www.w3.org/2005/03/23-lex-U.

The most correct (validating) version of UTF8 character set is as follows.

UTF8 =   ([\xC2-\xDF][\x80-\xBF])     
       | (\xE0[\xA0-\xBF][\x80-\xBF])     
       | ([\xE1-\xEC][\x80-\xBF][\x80-\xBF])     
       | (\xED[\x80-\x9F][\x80-\xBF])     
       | ([\xEE-\xEF][\x80-\xBF][\x80-\xBF])     
       | (\xF0[\x90-\xBF][\x80-\xBF][\x80-\xBF])     
       | ([\xF1-\xF3][\x80-\xBF][\x80-\xBF][\x80-\xBF])     
       | (\xF4[\x80-\x8F][\x80-\xBF][\x80-\xBF])

The lines of the expression cover the UTF8 characters as follows:

1. non-overlong 2-byte
2. excluding overlongs
3. straight 3-byte
4. excluding surrogates
5. straight 3-byte
6. planes 1-3
7. planes 4-15
8. plane 16

Note that ASCII and control characters are not included.

The above reference also defines some alternative regular expressions.

The most relaxed version of UTF8 is this.

UTF8 = ([\xC0-\xD6].)
      |([\xE0-\xEF]..)
      |([\xF0-\xF7]...)

The partially relaxed version of UTF8 is this.

UTF8    = ([\xC0-\xD6][\x80-\xBF])        
        | ([\xE0-\xEF][\x80-\xBF][\x80-\xBF])        
        | ([\xF0-\xF7][\x80-\xBF][\x80-\xBF][\x80-\xBF])

We deem it acceptable to use this last relaxed expression for validating UTF-8 character strings.