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22 | <a href="./Home">MLton 20180207</a>\r | |
23 | </div>\r | |
24 | </div>\r | |
25 | <div id="header">\r | |
26 | <h1>MLtonIntInf</h1>\r | |
27 | </div>\r | |
28 | <div id="content">\r | |
29 | <div id="preamble">\r | |
30 | <div class="sectionbody">\r | |
31 | <div class="listingblock">\r | |
32 | <div class="content"><div class="highlight"><pre><span class="k">signature</span><span class="w"> </span><span class="n">MLTON_INT_INF</span><span class="w"> </span><span class="p">=</span><span class="w"></span>\r | |
33 | <span class="w"> </span><span class="k">sig</span><span class="w"></span>\r | |
34 | <span class="w"> </span><span class="k">type</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">IntInf</span><span class="p">.</span><span class="n">int</span><span class="w"></span>\r | |
35 | \r | |
36 | <span class="w"> </span><span class="k">val</span><span class="w"> </span><span class="n">areSmall</span><span class="p">:</span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="n">*</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">bool</span><span class="w"></span>\r | |
37 | <span class="w"> </span><span class="k">val</span><span class="w"> </span><span class="n">gcd</span><span class="p">:</span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="n">*</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 | |
38 | <span class="w"> </span><span class="k">val</span><span class="w"> </span><span class="n">isSmall</span><span class="p">:</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">bool</span><span class="w"></span>\r | |
39 | \r | |
40 | <span class="w"> </span><span class="k">structure</span><span class="w"> </span><span class="n">BigWord</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">WORD</span><span class="w"></span>\r | |
41 | <span class="w"> </span><span class="k">structure</span><span class="w"> </span><span class="n">SmallInt</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">INTEGER</span><span class="w"></span>\r | |
42 | <span class="w"> </span><span class="k">datatype</span><span class="w"> </span><span class="n">rep</span><span class="w"> </span><span class="p">=</span><span class="w"></span>\r | |
43 | <span class="w"> </span><span class="n">Big</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">BigWord</span><span class="p">.</span><span class="n">word</span><span class="w"> </span><span class="n">vector</span><span class="w"></span>\r | |
44 | <span class="w"> </span><span class="p">|</span><span class="w"> </span><span class="n">Small</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="n">SmallInt</span><span class="p">.</span><span class="n">int</span><span class="w"></span>\r | |
45 | <span class="w"> </span><span class="k">val</span><span class="w"> </span><span class="n">rep</span><span class="p">:</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">rep</span><span class="w"></span>\r | |
46 | <span class="w"> </span><span class="k">val</span><span class="w"> </span><span class="n">fromRep</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">rep</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="n">t</span><span class="w"> </span><span class="n">option</span><span class="w"></span>\r | |
47 | <span class="w"> </span><span class="k">end</span><span class="w"></span>\r | |
48 | </pre></div></div></div>\r | |
49 | <div class="paragraph"><p>MLton represents an arbitrary precision integer either as an unboxed\r | |
50 | word with the bottom bit set to 1 and the top bits representing a\r | |
51 | small signed integer, or as a pointer to a vector of words, where the\r | |
52 | first word indicates the sign and the rest are the limbs of a\r | |
53 | <a href="GnuMP">GnuMP</a> big integer.</p></div>\r | |
54 | <div class="ulist"><ul>\r | |
55 | <li>\r | |
56 | <p>\r | |
57 | <span class="monospaced">type t</span>\r | |
58 | </p>\r | |
59 | <div class="paragraph"><p>the same as type <span class="monospaced">IntInf.int</span>.</p></div>\r | |
60 | </li>\r | |
61 | <li>\r | |
62 | <p>\r | |
63 | <span class="monospaced">areSmall (a, b)</span>\r | |
64 | </p>\r | |
65 | <div class="paragraph"><p>returns true iff both <span class="monospaced">a</span> and <span class="monospaced">b</span> are small.</p></div>\r | |
66 | </li>\r | |
67 | <li>\r | |
68 | <p>\r | |
69 | <span class="monospaced">gcd (a, b)</span>\r | |
70 | </p>\r | |
71 | <div class="paragraph"><p>uses the <a href="GnuMP">GnuMP’s</a> fast gcd implementation.</p></div>\r | |
72 | </li>\r | |
73 | <li>\r | |
74 | <p>\r | |
75 | <span class="monospaced">isSmall a</span>\r | |
76 | </p>\r | |
77 | <div class="paragraph"><p>returns true iff <span class="monospaced">a</span> is small.</p></div>\r | |
78 | </li>\r | |
79 | <li>\r | |
80 | <p>\r | |
81 | <span class="monospaced">BigWord : WORD</span>\r | |
82 | </p>\r | |
83 | <div class="paragraph"><p>representation of a big <span class="monospaced">IntInf.int</span> as a vector of words; on 32-bit\r | |
84 | platforms, <span class="monospaced">BigWord</span> is likely to be equivalent to <span class="monospaced">Word32</span>, and on\r | |
85 | 64-bit platforms, <span class="monospaced">BigWord</span> is likely to be equivalent to <span class="monospaced">Word64</span>.</p></div>\r | |
86 | </li>\r | |
87 | <li>\r | |
88 | <p>\r | |
89 | <span class="monospaced">SmallInt : INTEGER</span>\r | |
90 | </p>\r | |
91 | <div class="paragraph"><p>representation of a small <span class="monospaced">IntInf.int</span> as a signed integer; on 32-bit\r | |
92 | platforms, <span class="monospaced">SmallInt</span> is likely to be equivalent to <span class="monospaced">Int32</span>, and on\r | |
93 | 64-bit platforms, <span class="monospaced">SmallInt</span> is likely to be equivalent to <span class="monospaced">Int64</span>.</p></div>\r | |
94 | </li>\r | |
95 | <li>\r | |
96 | <p>\r | |
97 | <span class="monospaced">datatype rep</span>\r | |
98 | </p>\r | |
99 | <div class="paragraph"><p>the underlying representation of an <span class="monospaced">IntInf.int</span>.</p></div>\r | |
100 | </li>\r | |
101 | <li>\r | |
102 | <p>\r | |
103 | <span class="monospaced">rep i</span>\r | |
104 | </p>\r | |
105 | <div class="paragraph"><p>returns the underlying representation of <span class="monospaced">i</span>.</p></div>\r | |
106 | </li>\r | |
107 | <li>\r | |
108 | <p>\r | |
109 | <span class="monospaced">fromRep r</span>\r | |
110 | </p>\r | |
111 | <div class="paragraph"><p>converts from the underlying representation back to an <span class="monospaced">IntInf.int</span>.\r | |
112 | If <span class="monospaced">fromRep r</span> is given anything besides the valid result of <span class="monospaced">rep i</span>\r | |
113 | for some <span class="monospaced">i</span>, this function call will return <span class="monospaced">NONE</span>.</p></div>\r | |
114 | </li>\r | |
115 | </ul></div>\r | |
116 | </div>\r | |
117 | </div>\r | |
118 | </div>\r | |
119 | <div id="footnotes"><hr></div>\r | |
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