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-<?xml version="1.0" encoding="latin1" ?>
-<!DOCTYPE chapter SYSTEM "chapter.dtd">
-
-<chapter>
- <header>
- <copyright>
- <year>2000</year><year>2009</year>
- <holder>Ericsson AB. All Rights Reserved.</holder>
- </copyright>
- <legalnotice>
- The contents of this file are subject to the Erlang Public License,
- Version 1.1, (the "License"); you may not use this file except in
- compliance with the License. You should have received a copy of the
- Erlang Public License along with this software. If not, it can be
- retrieved online at http://www.erlang.org/.
-
- Software distributed under the License is distributed on an "AS IS"
- basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
- the License for the specific language governing rights and limitations
- under the License.
-
- </legalnotice>
-
- <title>The Bit Syntax</title>
- <prepared>Bj&ouml;rn Gustavsson</prepared>
- <responsible>Bjarne D&auml;cker</responsible>
- <docno>1</docno>
- <approved>Bjarne D&auml;Ker</approved>
- <checked></checked>
- <date>00-06-21</date>
- <rev>PA1</rev>
- <file>bit_syntax.sgml</file>
- </header>
- <p>This section describes the "bit syntax" which was added to
- the Erlang language in release 5.0 (R7).
- Compared to the original bit syntax prototype
- by Claes Wikstr&ouml;m and Tony Rogvall (presented on the
- Erlang User's Conference 1999), this implementation differs
- primarily in the following respects,
- </p>
- <list type="ordered">
- <item>
- <p>the character pairs '&lt;&lt;' and '&gt;&gt;' are used to delimit
- a binary patterns and constructor (not '&lt;' and '&gt;' as in
- the prototype),
- </p>
- </item>
- <item>
- <p>the tail syntax ('|Variable') has been eliminated,
- </p>
- </item>
- <item>
- <p>all size expressions must be bound,
- </p>
- </item>
- <item>
- <p>a type <c>unit:U</c> has been added,
- </p>
- </item>
- <item>
- <p>lists and tuples cannot be generated
- </p>
- </item>
- <item>
- <p>there are no paddings whatsoever.
- </p>
- </item>
- </list>
-
- <section>
- <title>Introduction</title>
- <p>In Erlang a Bin is used for constructing binaries and
- matching binary patterns. A Bin is written with the
- following syntax:</p>
- <code type="none"><![CDATA[
- <<E1, E2, ... En>>
- ]]></code>
- <p>A Bin is a low-level sequence of bytes. The purpose of a
- Bin is to be able to, from a high level,
- <em>construct</em> a binary,
- </p>
- <code type="none"><![CDATA[
- Bin = <<E1, E2, ... En>>
- ]]></code>
- <p>in which case all elements must be bound, or to
- <em>match</em> a binary,
- </p>
- <code type="none"><![CDATA[
- <<E1, E2, ... En>> = Bin
- ]]></code>
- <p>where <c>Bin</c> is bound, and where the elements are bound or unbound,
- as in any match.
- </p>
- <p>Each element specifies a certain <em>segment</em> of the binary.
- A segment is is a set of contiguous bits of the binary (not
- necessarily on a byte boundary). The first element specifies
- the initial segment, the second element specifies the following
- segment etc.
- </p>
- <p>The following examples illustrate how binaries are constructed
- or matched, and how elements and tails are specified.
- </p>
-
- <section>
- <title>Examples</title>
- <p><em>Example 1: </em>A binary can be constructed from a set of
- constants or a string literal:</p>
- <code type="none"><![CDATA[
- Bin11 = <<1, 17, 42>>,
- Bin12 = <<"abc">>
- ]]></code>
- <p>yields binaries of size 3; <c>binary_to_list(Bin11)</c>
- evaluates to <c>[1, 17, 42]</c>, and
- <c>binary_to_list(Bin12)</c> evaluates to <c>[97, 98, 99]</c>.
- </p>
- <p><em>Example 2: </em>Similarly, a binary can be constructed
- from a set of bound variables:</p>
- <code type="none"><![CDATA[
- A = 1, B = 17, C = 42,
- Bin2 = <<A, B, C:16>>
- ]]></code>
- <p>yields a binary of size 4, and <c>binary_to_list(Bin2)</c>
- evaluates to <c>[1, 17, 00, 42]</c> too. Here we used a
- <em>size expression</em> for the variable <c>C</c> in order to
- specify a 16-bits segment of <c>Bin2</c>.
- </p>
- <p><em>Example 3: </em>A Bin can also be used for matching: if
- <c>D</c>, <c>E</c>, and <c>F</c> are unbound variables, and
- <c>Bin2</c> is bound as in the former example,</p>
- <code type="none"><![CDATA[
- <<D:16, E, F/binary>> = Bin2
- ]]></code>
- <p>yields <c>D = 273</c>, <c>E = 00</c>, and F binds to a binary
- of size 1: <c>binary_to_list(F) = [42]</c>.
- </p>
- <p><em>Example 4: </em>The following is a more elaborate example
- of matching, where <c>Dgram</c> is bound to the consecutive
- bytes of an IP datagram of IP protocol version 4, and where we
- want to extract the header and the data of the datagram:</p>
- <code type="none"><![CDATA[
- -define(IP_VERSION, 4).
- -define(IP_MIN_HDR_LEN, 5).
-
- DgramSize = byte_size(Dgram),
- case Dgram of
- <<?IP_VERSION:4, HLen:4, SrvcType:8, TotLen:16,
- ID:16, Flgs:3, FragOff:13,
- TTL:8, Proto:8, HdrChkSum:16,
- SrcIP:32,
- DestIP:32, RestDgram/binary>> when HLen >= 5, 4*HLen =< DgramSize ->
- OptsLen = 4*(HLen - ?IP_MIN_HDR_LEN),
- <<Opts:OptsLen/binary,Data/binary>> = RestDgram,
- ...
- end.
- ]]></code>
- <p>Here the segment corresponding to the <c>Opts</c> variable
- has a <em>type modifier</em> specifying that <c>Opts</c> should
- bind to a binary. All other variables have the default type
- equal to unsigned integer.
- </p>
- <p>An IP datagram header is of variable length, and its length -
- measured in the number of 32-bit words - is given in the segment
- corresponding to <c>HLen</c>, the minimum value of which is
- 5. It is the segment corresponding to <c>Opts</c> that is
- variable: if <c>HLen</c> is equal to 5, <c>Opts</c> will be an
- empty binary.
- </p>
- <p>The tail variables <c>RestDgram</c> and <c>Data</c> bind to
- binaries, as all tail variables do. Both may bind to empty
- binaries.
- </p>
- <p>If the first 4-bits segment of <c>Dgram</c> is not equal to
- 4, or if <c>HLen</c> is less than 5, or if the size of
- <c>Dgram</c> is less than <c>4*HLen</c>, the match of
- <c>Dgram</c> fails.
- </p>
- </section>
- </section>
-
- <section>
- <title>A Lexical Note</title>
- <p>Note that "<c><![CDATA[B=<<1>>]]></c>" will be interpreted as
- "<c><![CDATA[B =< ;<1>>]]></c>", which is a syntax error.
- The correct way to write the expression is "<c><![CDATA[B = <<1>>]]></c>".</p>
- </section>
-
- <section>
- <title>Segments</title>
- <p>Each segment has the following general syntax:</p>
- <p><c>Value:Size/TypeSpecifierList</c></p>
- <p>Both the <c>Size</c> and the <c>TypeSpecifier</c> or both may be
- omitted; thus the following variations are allowed:
- </p>
- <p><c>Value</c></p>
- <p><c>Value:Size</c></p>
- <p><c>Value/TypeSpecifierList</c></p>
- <p>Default values will be used for missing specifications. The default
- values are described in the section "Defaults" below.
- </p>
- <p>Used in binary construction, the <c>Value</c> part is any expression.
- Used in binary matching, the <c>Value</c> part must be a literal or
- variable. You can read more about the <c>Value</c> part in the
- sections about constructing binaries and matching binaries.
- </p>
- <p>The <c>Size</c> part of the segment multiplied by the unit in the
- <c>TypeSpecifierList</c> (described below) gives the number of bits
- for the segment. In construction, <c>Size</c> is any expression that
- evaluates to an integer. In matching, <c>Size</c> must be a constant
- expression or a variable.
- </p>
- <p>The <c>TypeSpecifierList</c> is a list of type specifiers separated by
- hyphens.
- </p>
- <taglist>
- <tag>Type</tag>
- <item>The type can be <c>integer</c>, <c>float</c>, or <c>binary</c>.</item>
- <tag>Signedness</tag>
- <item>The signedness specification can be either <c>signed</c>
- or <c>unsigned</c>. Note that signedness only matters for matching.</item>
- <tag>Endianness</tag>
- <item>The endianness specification can be either <c>big</c>,
- <c>little</c>, or <c>native</c>. Native-endian means that
- the endian will be resolved at load time to be either
- big-endian or little-endian, depending on what is "native"
- for the CPU that the Erlang machine is run on.</item>
- <tag>Unit</tag>
- <item>The unit size is given as <c>unit:IntegerLiteral</c>.
- The allowed range is 1-256. It will be multiplied by the <c>Size</c>
- specifier to give the effective size of the segment.</item>
- </taglist>
- <p>Example:
- </p>
- <code type="none">
-X:4/little-signed-integer-unit:8
- </code>
- <p>This element has a total size of 4*8 = 32 bits, and it contains a
- signed integer in little-endian order.</p>
- </section>
-
- <section>
- <title>Defaults</title>
- <p>The default type for a segment is <c>integer</c>. The default type
- does <em>not</em> depend on the value, even if the value is a literal.
- For instance, the default type in '<c><![CDATA[<<3.14>>]]></c>' is <c>integer</c>,
- not <c>float</c>.
- </p>
- <p>The default <c>Size</c> depends on the type.
- For <c>integer</c> it is 8. For <c>float</c> it is 64.
- For <c>binary</c> it is all of the binary. In matching, this default
- value is only valid for the very last element. All other binary elements
- in matching must have a size specification.
- </p>
- <p>The default unit depends on the the type.
- For <c>integer</c> and <c>float</c> it is 1.
- For <c>binary</c> it is 8.
- </p>
- <p>The default signedness is <c>unsigned</c>.
- </p>
- <p>The default endianness is <c>big</c>.</p>
- </section>
-
- <section>
- <title>Constructing Binaries</title>
- <p>This section describes the rules for constructing binaries using
- the bit syntax. Unlike when constructing lists or tuples, the construction
- of a binary can fail with a <c>badarg</c> exception.
- </p>
- <p>There can be zero or more segments in a binary to be constructed.
- The expression '<c><![CDATA[<<>>]]></c>' constructs a zero length binary.
- </p>
- <p>Each segment in a binary can consist of zero or more bits.
- There are no alignment rules for individual segments, but the total
- number of bits in all segments must be evenly divisible by 8,
- or in other words, the resulting binary must consist of a whole number
- of bytes. An <c>badarg</c> exception will be thrown if the resulting
- binary is not byte-aligned. Example:
- </p>
- <code type="none"><![CDATA[
-<<X:1,Y:6>>
- ]]></code>
- <p>The total number of bits is 7, which is not evenly divisible by 8;
- thus, there will be <c>badarg</c> exception (and a compiler warning
- as well). The following example
- </p>
- <code type="none"><![CDATA[
-<<X:1,Y:6,Z:1>>
- ]]></code>
- <p>will successfully construct a binary of 8 bits, or one byte. (Provided
- that all of X, Y and Z are integers.)
- </p>
- <p>As noted earlier, segments have the following general syntax:
- </p>
- <p><c>Value:Size/TypeSpecifierList</c></p>
- <p>When constructing binaries, <c>Value</c> and <c>Size</c> can be
- any Erlang expression. However, for syntactical reasons,
- both <c>Value</c> and <c>Size</c> must be enclosed in parenthesis
- if the expression consists of anything more than a single literal
- or variable. The following gives a compiler syntax error:
- </p>
- <code type="none"><![CDATA[
-<<X+1:8>>
- ]]></code>
- <p>This expression must be rewritten to
- </p>
- <code type="none"><![CDATA[
-<<(X+1):8>>
- ]]></code>
- <p>in order to be accepted by the compiler.
- </p>
-
- <section>
- <title>Including Literal Strings</title>
- <p>As syntactic sugar, an literal string may be written instead of a
- element.</p>
- <code type="none"><![CDATA[
-<<"hello">> ]]></code>
- <p>which is syntactic sugar for</p>
- <code type="none"><![CDATA[
-<<$h,$e,$l,$l,$o>> ]]></code>
- </section>
- </section>
-
- <section>
- <title>Matching Binaries</title>
- <p>This section describes the rules for matching binaries using the
- bit syntax.
- </p>
- <p>There can be zero or more segments in a binary binary pattern.
- A binary pattern can occur in every place patterns are allowed, also
- inside other patterns. Binary patterns cannot be nested.
- </p>
- <p>The pattern '<c><![CDATA[<<>>]]></c>' matches a zero length binary.
- </p>
- <p>Each segment in a binary can consist of zero or more bits.
- </p>
- <p>A segment of type <c>binary</c> must have a size evenly divisible by 8.
- </p>
- <p>This means that the following head will never match:</p>
- <code type="none"><![CDATA[
-foo(<<X:7/binary,Y:1/binary>>) -> ]]></code>
- <p>As noted earlier, segments have the following general syntax:
- </p>
- <p><c>Value:Size/TypeSpecifierList</c></p>
- <p>When matching <c>Value</c> value must be either a variable or an integer
- or floating point literal. Expressions are not allowed.
- </p>
- <p><c>Size</c> must be an integer literal, or a previously bound variable.
- Note that the following is not allowed:</p>
- <code type="none"><![CDATA[
-foo(N, <<X:N,T/binary>>) ->
- {X,T}. ]]></code>
- <p>The two occurrences of <c>N</c> are not related. The compiler
- will complain that the <c>N</c> in the size field is unbound.
- </p>
- <p>The correct way to write this example is like this:</p>
- <code type="none"><![CDATA[
-foo(N, Bin) ->
- <<X:N,T/binary>> = Bin,
- {X,T}. ]]></code>
-
- <section>
- <title>Getting the Rest of the Binary</title>
- <p>To match out the rest of binary, specify a binary field without size:</p>
- <code type="none"><![CDATA[
-foo(<<A:8,Rest/binary>>) -> ]]></code>
- <p>As always, the size of the tail must be evenly divisible by 8.
- </p>
- </section>
- </section>
-
- <section>
- <title>Traps and Pitfalls</title>
- <p>Assume that we need a function that creates a binary out of a
- list of triples of integers. A first (inefficient) version of such
- a function could look like this:</p>
- <code type="none"><![CDATA[
-triples_to_bin(T) ->
- triples_to_bin(T, <<>>).
-
-triples_to_bin([{X,Y,Z} | T], Acc) ->
- triples_to_bin(T, <<Acc/binary, X:32, Y:32, Z:32>>); % inefficient
-triples_to_bin([], Acc) ->
- Acc. ]]></code>
- <p>The reason for the inefficiency of this function is that for
- each triple, the binary constructed so far (<c>Acc</c>) is copied.
- (Note: The original bit syntax prototype avoided the copy operation
- by using segmented binaries, which are not implemented in R7.)
- </p>
- <p>The efficient way to write this function in R7 is:</p>
- <code type="none"><![CDATA[
-triples_to_bin(T) ->
- triples_to_bin(T, []).
-
-triples_to_bin([{X,Y,Z} | T], Acc) ->
- triples_to_bin(T, [<<X:32, Y:32, Z:32>> | Acc]);
-triples_to_bin([], Acc) ->
- list_to_binary(lists:reverse(Acc)). ]]></code>
- <p>Note that <c>list_to_binary/1</c> handles deep lists of binaries
- and small integers. (This fact was previously undocumented.)
- </p>
- </section>
-</chapter>
-