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22 | <a href="./Home">MLton 20180207</a>\r | |
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25 | <div id="header">\r | |
26 | <h1>Utilities</h1>\r | |
27 | </div>\r | |
28 | <div id="content">\r | |
29 | <div id="preamble">\r | |
30 | <div class="sectionbody">\r | |
31 | <div class="paragraph"><p>This page is a collection of basic utilities used in the examples on\r | |
32 | various pages. See</p></div>\r | |
33 | <div class="ulist"><ul>\r | |
34 | <li>\r | |
35 | <p>\r | |
36 | <a href="InfixingOperators">InfixingOperators</a>, and\r | |
37 | </p>\r | |
38 | </li>\r | |
39 | <li>\r | |
40 | <p>\r | |
41 | <a href="ProductType">ProductType</a>\r | |
42 | </p>\r | |
43 | </li>\r | |
44 | </ul></div>\r | |
45 | <div class="paragraph"><p>for longer discussions on some of these utilities.</p></div>\r | |
46 | <div class="listingblock">\r | |
47 | <div class="content"><div class="highlight"><pre><span class="cm">(* Operator precedence table *)</span><span class="w"></span>\r | |
48 | <span class="k">infix</span><span class="w"> </span><span class="mi">8</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">/</span><span class="w"> </span><span class="n">div</span><span class="w"> </span><span class="n">mod</span><span class="w"> </span><span class="cm">(* +1 from Basis Library *)</span><span class="w"></span>\r | |
49 | <span class="k">infix</span><span class="w"> </span><span class="mi">7</span><span class="w"> </span><span class="n">+</span><span class="w"> </span><span class="n">-</span><span class="w"> </span><span class="n">^</span><span class="w"> </span><span class="cm">(* +1 from Basis Library *)</span><span class="w"></span>\r | |
50 | <span class="k">infixr</span><span class="w"> </span><span class="mi">6</span><span class="w"> </span><span class="n">::</span><span class="w"> </span><span class="n">@</span><span class="w"> </span><span class="cm">(* +1 from Basis Library *)</span><span class="w"></span>\r | |
51 | <span class="k">infix</span><span class="w"> </span><span class="mi">5</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n"><></span><span class="w"> </span><span class="n">></span><span class="w"> </span><span class="n">>=</span><span class="w"> </span><span class="n"><</span><span class="w"> </span><span class="n"><=</span><span class="w"> </span><span class="cm">(* +1 from Basis Library *)</span><span class="w"></span>\r | |
52 | <span class="k">infix</span><span class="w"> </span><span class="mi">4</span><span class="w"> </span><span class="n"><\</span><span class="w"> </span><span class="n">\></span><span class="w"></span>\r | |
53 | <span class="k">infixr</span><span class="w"> </span><span class="mi">4</span><span class="w"> </span><span class="n"></</span><span class="w"> </span><span class="n">/></span><span class="w"></span>\r | |
54 | <span class="k">infix</span><span class="w"> </span><span class="mi">3</span><span class="w"> </span><span class="n">o</span><span class="w"></span>\r | |
55 | <span class="k">infix</span><span class="w"> </span><span class="mi">2</span><span class="w"> </span><span class="n">>|</span><span class="w"></span>\r | |
56 | <span class="k">infixr</span><span class="w"> </span><span class="mi">2</span><span class="w"> </span><span class="n">|<</span><span class="w"></span>\r | |
57 | <span class="k">infix</span><span class="w"> </span><span class="mi">1</span><span class="w"> </span><span class="n">:=</span><span class="w"> </span><span class="cm">(* -2 from Basis Library *)</span><span class="w"></span>\r | |
58 | <span class="k">infix</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="n">before</span><span class="w"> </span><span class="n">&</span><span class="w"></span>\r | |
59 | \r | |
60 | <span class="cm">(* Some basic combinators *)</span><span class="w"></span>\r | |
61 | <span class="k">fun</span><span class="w"> </span><span class="n">const</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">_</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">x</span><span class="w"></span>\r | |
62 | <span class="k">fun</span><span class="w"> </span><span class="n">cross</span><span class="w"> </span><span class="p">(</span><span class="n">f</span><span class="p">,</span><span class="w"> </span><span class="n">g</span><span class="p">)</span><span class="w"> </span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">(</span><span class="n">f</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">g</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"></span>\r | |
63 | <span class="k">fun</span><span class="w"> </span><span class="n">curry</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"></span>\r | |
64 | <span class="k">fun</span><span class="w"> </span><span class="n">fail</span><span class="w"> </span><span class="n">e</span><span class="w"> </span><span class="p">_</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">raise</span><span class="w"> </span><span class="n">e</span><span class="w"></span>\r | |
65 | <span class="k">fun</span><span class="w"> </span><span class="n">id</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">x</span><span class="w"></span>\r | |
66 | \r | |
67 | <span class="cm">(* Product type *)</span><span class="w"></span>\r | |
68 | <span class="k">datatype</span><span class="w"> </span><span class="p">(</span><span class="n">'a</span><span class="p">,</span><span class="w"> </span><span class="n">'b</span><span class="p">)</span><span class="w"> </span><span class="n">product</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">&</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="n">'b</span><span class="w"></span>\r | |
69 | \r | |
70 | <span class="cm">(* Sum type *)</span><span class="w"></span>\r | |
71 | <span class="k">datatype</span><span class="w"> </span><span class="p">(</span><span class="n">'a</span><span class="p">,</span><span class="w"> </span><span class="n">'b</span><span class="p">)</span><span class="w"> </span><span class="n">sum</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">INL</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">INR</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">'b</span><span class="w"></span>\r | |
72 | \r | |
73 | <span class="cm">(* Some type shorthands *)</span><span class="w"></span>\r | |
74 | <span class="k">type</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="n">uop</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="n">'a</span><span class="w"></span>\r | |
75 | <span class="k">type</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="n">fix</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="n">uop</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="n">'a</span><span class="w"></span>\r | |
76 | <span class="k">type</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="n">thunk</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">unit</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="n">'a</span><span class="w"></span>\r | |
77 | <span class="k">type</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="n">effect</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">'a</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="n">unit</span><span class="w"></span>\r | |
78 | <span class="k">type</span><span class="w"> </span><span class="p">(</span><span class="n">'a</span><span class="p">,</span><span class="w"> </span><span class="n">'b</span><span class="p">)</span><span class="w"> </span><span class="n">emb</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">(</span><span class="n">'a</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="n">'b</span><span class="p">)</span><span class="w"> </span><span class="n">*</span><span class="w"> </span><span class="p">(</span><span class="n">'b</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="n">'a</span><span class="p">)</span><span class="w"></span>\r | |
79 | \r | |
80 | <span class="cm">(* Infixing, sectioning, and application operators *)</span><span class="w"></span>\r | |
81 | <span class="k">fun</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="n"><\</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="p">=></span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"></span>\r | |
82 | <span class="k">fun</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="n">\></span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="n">y</span><span class="w"></span>\r | |
83 | <span class="k">fun</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="n">/></span><span class="w"> </span><span class="n">y</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="p">=></span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">)</span><span class="w"></span>\r | |
84 | <span class="k">fun</span><span class="w"> </span><span class="n">x</span><span class="w"> </span><span class="n"></</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">f</span><span class="w"> </span><span class="n">x</span><span class="w"></span>\r | |
85 | \r | |
86 | <span class="cm">(* Piping operators *)</span><span class="w"></span>\r | |
87 | <span class="k">val</span><span class="w"> </span><span class="k">op</span><span class="n">>|</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">op</span><span class="n"></</span><span class="w"></span>\r | |
88 | <span class="k">val</span><span class="w"> </span><span class="k">op</span><span class="n">|<</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">op</span><span class="n">\></span><span class="w"></span>\r | |
89 | </pre></div></div></div>\r | |
90 | </div>\r | |
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