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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>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 |
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