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22 | <a href="./Home">MLton 20180207</a>\r | |
23 | </div>\r | |
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25 | <div id="header">\r | |
26 | <h1>GenerativeDatatype</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>In <a href="StandardML">Standard ML</a>, datatype declarations are said to be\r | |
32 | <em>generative</em>, because each time a datatype declaration is evaluated,\r | |
33 | it yields a new type. Thus, any attempt to mix the types will lead to\r | |
34 | a type error at compile-time. The following program, which does not\r | |
35 | type check, demonstrates this.</p></div>\r | |
36 | <div class="listingblock">\r | |
37 | <div class="content"><div class="highlight"><pre><span class="k">functor</span><span class="w"> </span><span class="n">F</span><span class="w"> </span><span class="p">()</span><span class="w"> </span><span class="p">=</span><span class="w"></span>\r | |
38 | <span class="w"> </span><span class="k">struct</span><span class="w"></span>\r | |
39 | <span class="w"> </span><span class="k">datatype</span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">T</span><span class="w"></span>\r | |
40 | <span class="w"> </span><span class="k">end</span><span class="w"></span>\r | |
41 | <span class="k">structure</span><span class="w"> </span><span class="n">S1</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="w"></span>\r | |
42 | <span class="k">structure</span><span class="w"> </span><span class="n">S2</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="w"></span>\r | |
43 | <span class="k">val</span><span class="w"> </span><span class="p">_:</span><span class="w"> </span><span class="n">S1</span><span class="p">.</span><span class="n">t</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="n">S2</span><span class="p">.</span><span class="n">t</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">x</span><span class="w"></span>\r | |
44 | </pre></div></div></div>\r | |
45 | <div class="paragraph"><p>Generativity also means that two different datatype declarations\r | |
46 | define different types, even if they define identical constructors.\r | |
47 | The following program does not type check due to this.</p></div>\r | |
48 | <div class="listingblock">\r | |
49 | <div class="content"><div class="highlight"><pre><span class="k">datatype</span><span class="w"> </span><span class="n">t</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">B</span><span class="w"></span>\r | |
50 | <span class="k">val</span><span class="w"> </span><span class="n">a1</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">A</span><span class="w"></span>\r | |
51 | <span class="k">datatype</span><span class="w"> </span><span class="n">t</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">B</span><span class="w"></span>\r | |
52 | <span class="k">val</span><span class="w"> </span><span class="n">a2</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">A</span><span class="w"></span>\r | |
53 | <span class="k">val</span><span class="w"> </span><span class="p">_</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">true</span><span class="w"> </span><span class="k">then</span><span class="w"> </span><span class="n">a1</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="n">a2</span><span class="w"></span>\r | |
54 | </pre></div></div></div>\r | |
55 | </div>\r | |
56 | </div>\r | |
57 | <div class="sect1">\r | |
58 | <h2 id="_also_see">Also see</h2>\r | |
59 | <div class="sectionbody">\r | |
60 | <div class="ulist"><ul>\r | |
61 | <li>\r | |
62 | <p>\r | |
63 | <a href="GenerativeException">GenerativeException</a>\r | |
64 | </p>\r | |
65 | </li>\r | |
66 | </ul></div>\r | |
67 | </div>\r | |
68 | </div>\r | |
69 | </div>\r | |
70 | <div id="footnotes"><hr></div>\r | |
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