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Utilities
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This page is a collection of basic utilities used in the examples on various pages. See
<ul>
<li>
<p>
<a href="InfixingOperators">InfixingOperators</a>, and
</p>
</li>
<li>
<p>
<a href="ProductType">ProductType</a>
</p>
</li>
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<p>
for longer discussions on some of these utilities.
</p>
<pre class=code>
<I><FONT COLOR="#B22222">(* Operator precedence table *)</FONT></I>
<B><FONT COLOR="#A020F0">infix</FONT></B> 8 * / div mod <I><FONT COLOR="#B22222">(* +1 from Basis Library *)</FONT></I>
<B><FONT COLOR="#A020F0">infix</FONT></B> 7 + - ^ <I><FONT COLOR="#B22222">(* +1 from Basis Library *)</FONT></I>
<B><FONT COLOR="#A020F0">infixr</FONT></B> 6 :: @ <I><FONT COLOR="#B22222">(* +1 from Basis Library *)</FONT></I>
<B><FONT COLOR="#A020F0">infix</FONT></B> 5 = <> > >= < <= <I><FONT COLOR="#B22222">(* +1 from Basis Library *)</FONT></I>
<B><FONT COLOR="#A020F0">infix</FONT></B> 4 <\ \>
<B><FONT COLOR="#A020F0">infixr</FONT></B> 4 </ />
<B><FONT COLOR="#A020F0">infix</FONT></B> 3 o
<B><FONT COLOR="#A020F0">infix</FONT></B> 2 >|
<B><FONT COLOR="#A020F0">infixr</FONT></B> 2 |<
<B><FONT COLOR="#A020F0">infix</FONT></B> 1 := <I><FONT COLOR="#B22222">(* -2 from Basis Library *)</FONT></I>
<B><FONT COLOR="#A020F0">infix</FONT></B> 0 before &
<I><FONT COLOR="#B22222">(* Some basic combinators *)</FONT></I>
<B><FONT COLOR="#A020F0">fun</FONT></B> const x _ = x
<B><FONT COLOR="#A020F0">fun</FONT></B> cross (f, g) (x, y) = (f x, g y)
<B><FONT COLOR="#A020F0">fun</FONT></B> curry f x y = f (x, y)
<B><FONT COLOR="#A020F0">fun</FONT></B> fail e _ = <B><FONT COLOR="#A020F0">raise</FONT></B> e
<B><FONT COLOR="#A020F0">fun</FONT></B> id x = x
<I><FONT COLOR="#B22222">(* Product type *)</FONT></I>
<B><FONT COLOR="#A020F0">datatype</FONT></B><B><FONT COLOR="#228B22"> ('a, 'b) product </FONT></B>=<B><FONT COLOR="#228B22"> <FONT COLOR="#B8860B">&</FONT> <B><FONT COLOR="#A020F0">of</FONT></B> 'a * 'b
<I><FONT COLOR="#B22222">(* Sum type *)</FONT></I>
</FONT></B><B><FONT COLOR="#A020F0">datatype</FONT></B><B><FONT COLOR="#228B22"> ('a, 'b) sum </FONT></B>=<B><FONT COLOR="#228B22"> <FONT COLOR="#B8860B">INL</FONT> <B><FONT COLOR="#A020F0">of</FONT></B> 'a </FONT></B>|<B><FONT COLOR="#228B22"> <FONT COLOR="#B8860B">INR</FONT> <B><FONT COLOR="#A020F0">of</FONT></B> 'b
<I><FONT COLOR="#B22222">(* Some type shorthands *)</FONT></I>
</FONT></B><B><FONT COLOR="#A020F0">type</FONT></B><B><FONT COLOR="#228B22"> 'a uop </FONT></B>=<B><FONT COLOR="#228B22"> 'a -> 'a
</FONT></B><B><FONT COLOR="#A020F0">type</FONT></B><B><FONT COLOR="#228B22"> 'a fix </FONT></B>=<B><FONT COLOR="#228B22"> 'a uop -> 'a
</FONT></B><B><FONT COLOR="#A020F0">type</FONT></B><B><FONT COLOR="#228B22"> 'a thunk </FONT></B>=<B><FONT COLOR="#228B22"> unit -> 'a
</FONT></B><B><FONT COLOR="#A020F0">type</FONT></B><B><FONT COLOR="#228B22"> 'a effect </FONT></B>=<B><FONT COLOR="#228B22"> 'a -> unit
</FONT></B><B><FONT COLOR="#A020F0">type</FONT></B><B><FONT COLOR="#228B22"> ('a, 'b) emb </FONT></B>=<B><FONT COLOR="#228B22"> ('a -> 'b) * ('b -> 'a)
<I><FONT COLOR="#B22222">(* Infixing, sectioning, and application operators *)</FONT></I>
</FONT></B><B><FONT COLOR="#A020F0">fun</FONT></B> x <\ f = <B><FONT COLOR="#A020F0">fn</FONT></B> y => f (x, y)
<B><FONT COLOR="#A020F0">fun</FONT></B> f \> y = f y
<B><FONT COLOR="#A020F0">fun</FONT></B> f /> y = <B><FONT COLOR="#A020F0">fn</FONT></B> x => f (x, y)
<B><FONT COLOR="#A020F0">fun</FONT></B> x </ f = f x
<I><FONT COLOR="#B22222">(* Piping operators *)</FONT></I>
<B><FONT COLOR="#A020F0">val</FONT></B> <B><FONT COLOR="#A020F0">op</FONT></B>>| = <B><FONT COLOR="#A020F0">op</FONT></B></
<B><FONT COLOR="#A020F0">val</FONT></B> <B><FONT COLOR="#A020F0">op</FONT></B>|< = <B><FONT COLOR="#A020F0">op</FONT></B>\>
</PRE>
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Last edited on 2006-08-13 14:40:14 by <span title="cs181143070.pp.htv.fi"><a href="VesaKarvonen">VesaKarvonen</a></span>.
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