<para> Indeed,
the result of such processing is part of the description of the
<ulink
- url="http://haskell.cs.yale.edu/ghc/docs/papers/core.ps.gz">External
+ url="http://www.haskell.org/ghc/docs/papers/core.ps.gz">External
Core language</ulink>.
So that document is a good place to look for a type-set version.
We would be very happy if someone wanted to volunteer to produce an SGML
branches.</para>
</sect2>
+
+ <!-- ===================== TRANSFORM LIST COMPREHENSIONS =================== -->
+
+ <sect2 id="generalised-list-comprehensions">
+ <title>Generalised (SQL-Like) List Comprehensions</title>
+ <indexterm><primary>list comprehensions</primary><secondary>generalised</secondary>
+ </indexterm>
+ <indexterm><primary>extended list comprehensions</primary>
+ </indexterm>
+ <indexterm><primary>group</primary></indexterm>
+ <indexterm><primary>sql</primary></indexterm>
+
+
+ <para>Generalised list comprehensions are a further enhancement to the
+ list comprehension syntatic sugar to allow operations such as sorting
+ and grouping which are familiar from SQL. They are fully described in the
+ paper <ulink url="http://research.microsoft.com/~simonpj/papers/list-comp">
+ Comprehensive comprehensions: comprehensions with "order by" and "group by"</ulink>,
+ except that the syntax we use differs slightly from the paper.</para>
+<para>Here is an example:
+<programlisting>
+employees = [ ("Simon", "MS", 80)
+, ("Erik", "MS", 100)
+, ("Phil", "Ed", 40)
+, ("Gordon", "Ed", 45)
+, ("Paul", "Yale", 60)]
+
+output = [ (the dept, sum salary)
+| (name, dept, salary) <- employees
+, then group by dept
+, then sortWith by (sum salary)
+, then take 5 ]
+</programlisting>
+In this example, the list <literal>output</literal> would take on
+ the value:
+
+<programlisting>
+[("Yale", 60), ("Ed", 85), ("MS", 180)]
+</programlisting>
+</para>
+<para>There are three new keywords: <literal>group</literal>, <literal>by</literal>, and <literal>using</literal>.
+(The function <literal>sortWith</literal> is not a keyword; it is an ordinary
+function that is exported by <literal>GHC.Exts</literal>.)</para>
+
+<para>There are five new forms of compehension qualifier,
+all introduced by the (existing) keyword <literal>then</literal>:
+ <itemizedlist>
+ <listitem>
+
+<programlisting>
+then f
+</programlisting>
+
+ This statement requires that <literal>f</literal> have the type <literal>
+ forall a. [a] -> [a]</literal>. You can see an example of it's use in the
+ motivating example, as this form is used to apply <literal>take 5</literal>.
+
+ </listitem>
+
+
+ <listitem>
+<para>
+<programlisting>
+then f by e
+</programlisting>
+
+ This form is similar to the previous one, but allows you to create a function
+ which will be passed as the first argument to f. As a consequence f must have
+ the type <literal>forall a. (a -> t) -> [a] -> [a]</literal>. As you can see
+ from the type, this function lets f "project out" some information
+ from the elements of the list it is transforming.</para>
+
+ <para>An example is shown in the opening example, where <literal>sortWith</literal>
+ is supplied with a function that lets it find out the <literal>sum salary</literal>
+ for any item in the list comprehension it transforms.</para>
+
+ </listitem>
+
+
+ <listitem>
+
+<programlisting>
+then group by e using f
+</programlisting>
+
+ <para>This is the most general of the grouping-type statements. In this form,
+ f is required to have type <literal>forall a. (a -> t) -> [a] -> [[a]]</literal>.
+ As with the <literal>then f by e</literal> case above, the first argument
+ is a function supplied to f by the compiler which lets it compute e on every
+ element of the list being transformed. However, unlike the non-grouping case,
+ f additionally partitions the list into a number of sublists: this means that
+ at every point after this statement, binders occuring before it in the comprehension
+ refer to <emphasis>lists</emphasis> of possible values, not single values. To help understand
+ this, let's look at an example:</para>
+
+<programlisting>
+-- This works similarly to groupWith in GHC.Exts, but doesn't sort its input first
+groupRuns :: Eq b => (a -> b) -> [a] -> [[a]]
+groupRuns f = groupBy (\x y -> f x == f y)
+
+output = [ (the x, y)
+| x <- ([1..3] ++ [1..2])
+, y <- [4..6]
+, then group by x using groupRuns ]
+</programlisting>
+
+ <para>This results in the variable <literal>output</literal> taking on the value below:</para>
+
+<programlisting>
+[(1, [4, 5, 6]), (2, [4, 5, 6]), (3, [4, 5, 6]), (1, [4, 5, 6]), (2, [4, 5, 6])]
+</programlisting>
+
+ <para>Note that we have used the <literal>the</literal> function to change the type
+ of x from a list to its original numeric type. The variable y, in contrast, is left
+ unchanged from the list form introduced by the grouping.</para>
+
+ </listitem>
+
+ <listitem>
+
+<programlisting>
+then group by e
+</programlisting>
+
+ <para>This form of grouping is essentially the same as the one described above. However,
+ since no function to use for the grouping has been supplied it will fall back on the
+ <literal>groupWith</literal> function defined in
+ <ulink url="../libraries/base/GHC-Exts.html"><literal>GHC.Exts</literal></ulink>. This
+ is the form of the group statement that we made use of in the opening example.</para>
+
+ </listitem>
+
+
+ <listitem>
+
+<programlisting>
+then group using f
+</programlisting>
+
+ <para>With this form of the group statement, f is required to simply have the type
+ <literal>forall a. [a] -> [[a]]</literal>, which will be used to group up the
+ comprehension so far directly. An example of this form is as follows:</para>
+
+<programlisting>
+output = [ x
+| y <- [1..5]
+, x <- "hello"
+, then group using inits]
+</programlisting>
+
+ <para>This will yield a list containing every prefix of the word "hello" written out 5 times:</para>
+
+<programlisting>
+["","h","he","hel","hell","hello","helloh","hellohe","hellohel","hellohell","hellohello","hellohelloh",...]
+</programlisting>
+
+ </listitem>
+</itemizedlist>
+</para>
+ </sect2>
<!-- ===================== REBINDABLE SYNTAX =================== -->
<para>
These and many other examples are given in papers by Hongwei Xi, and
Tim Sheard. There is a longer introduction
-<ulink url="http://haskell.org/haskellwiki/GADT">on the wiki</ulink>,
+<ulink url="http://www.haskell.org/haskellwiki/GADT">on the wiki</ulink>,
and Ralf Hinze's
<ulink url="http://www.informatik.uni-bonn.de/~ralf/publications/With.pdf">Fun with phantom types</ulink> also has a number of examples. Note that papers
may use different notation to that implemented in GHC.
</para></listitem>
<listitem><para>
-The standard defaulting rule (<ulink url="http://haskell.org/onlinereport/decls.html#sect4.3.4">Haskell Report, Section 4.3.4</ulink>)
+The standard defaulting rule (<ulink url="http://www.haskell.org/onlinereport/decls.html#sect4.3.4">Haskell Report, Section 4.3.4</ulink>)
is extended thus: defaulting applies when all the unresolved constraints involve standard classes
<emphasis>or</emphasis> <literal>IsString</literal>; and at least one is a numeric class
<emphasis>or</emphasis> <literal>IsString</literal>.
<para>
In Haskell, a programmer-written type signature is implicitly quantified over
its free type variables (<ulink
-url="http://haskell.org/onlinereport/decls.html#sect4.1.2">Section
+url="http://www.haskell.org/onlinereport/decls.html#sect4.1.2">Section
4.1.2</ulink>
of the Haskel Report).
Lexically scoped type variables affect this implicit quantification rules
The Haskell Report specifies that a group of bindings (at top level, or in a
<literal>let</literal> or <literal>where</literal>) should be sorted into
strongly-connected components, and then type-checked in dependency order
-(<ulink url="http://haskell.org/onlinereport/decls.html#sect4.5.1">Haskell
+(<ulink url="http://www.haskell.org/onlinereport/decls.html#sect4.5.1">Haskell
Report, Section 4.5.1</ulink>).
As each group is type-checked, any binders of the group that
have
an explicit type signature are put in the type environment with the specified
polymorphic type,
and all others are monomorphic until the group is generalised
-(<ulink url="http://haskell.org/onlinereport/decls.html#sect4.5.2">Haskell Report, Section 4.5.2</ulink>).
+(<ulink url="http://www.haskell.org/onlinereport/decls.html#sect4.5.2">Haskell Report, Section 4.5.2</ulink>).
</para>
<para>Following a suggestion of Mark Jones, in his paper
on the latter. As a result, the specification of the language extension is
also still to some degree in flux. Hence, a more detailed description of
the language extension and its use is currently available
-from <ulink url="http://haskell.org/haskellwiki/GHC/Indexed_types">the Haskell
+from <ulink url="http://www.haskell.org/haskellwiki/GHC/Indexed_types">the Haskell
wiki page on type families</ulink>. The material will be moved to this user's
guide when it has stabilised.
</para>
</para>
<para>
There is a Wiki page about
-Template Haskell at <ulink url="http://haskell.org/haskellwiki/Template_Haskell">
+Template Haskell at <ulink url="http://www.haskell.org/haskellwiki/Template_Haskell">
http://www.haskell.org/haskellwiki/Template_Haskell</ulink>, and that is the best place to look for
further details.
You may also
(!) f x = 3
</programlisting>
The semantics of Haskell pattern matching is described in <ulink
-url="http://haskell.org/onlinereport/exps.html#sect3.17.2">
+url="http://www.haskell.org/onlinereport/exps.html#sect3.17.2">
Section 3.17.2</ulink> of the Haskell Report. To this description add
one extra item 10, saying:
<itemizedlist><listitem><para>Matching
<literal>v</literal></para></listitem>
</itemizedlist>
</para></listitem></itemizedlist>
-Similarly, in Figure 4 of <ulink url="http://haskell.org/onlinereport/exps.html#sect3.17.3">
+Similarly, in Figure 4 of <ulink url="http://www.haskell.org/onlinereport/exps.html#sect3.17.3">
Section 3.17.3</ulink>, add a new case (t):
<programlisting>
case v of { !pat -> e; _ -> e' }
</programlisting>
</para><para>
That leaves let expressions, whose translation is given in
-<ulink url="http://haskell.org/onlinereport/exps.html#sect3.12">Section
+<ulink url="http://www.haskell.org/onlinereport/exps.html#sect3.12">Section
3.12</ulink>
of the Haskell Report.
In the translation box, first apply
<indexterm><primary><option>-XNoMonomorphismRestriction</option></primary></indexterm>
<para>Haskell's monomorphism restriction (see
-<ulink url="http://haskell.org/onlinereport/decls.html#sect4.5.5">Section
+<ulink url="http://www.haskell.org/onlinereport/decls.html#sect4.5.5">Section
4.5.5</ulink>
of the Haskell Report)
can be completely switched off by