<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> <html> <head> <link rel="stylesheet" href="style.css" type="text/css"> <meta content="text/html; charset=iso-8859-1" http-equiv="Content-Type"> <link rel="Start" href="index.html"> <link rel="previous" href="Reins.Types.Big_int.html"> <link rel="next" href="Reins.Types.Complex.html"> <link rel="Up" href="Reins.Types.html"> <link title="Index of types" rel=Appendix href="index_types.html"> <link title="Index of exceptions" rel=Appendix href="index_exceptions.html"> <link title="Index of values" rel=Appendix href="index_values.html"> <link title="Index of modules" rel=Appendix href="index_modules.html"> <link title="Index of module types" rel=Appendix href="index_module_types.html"> <link title="Reins" rel="Chapter" href="Reins.html"><title>Reins.Types.Ratio</title> </head> <body> <div class="navbar"><a href="Reins.Types.Big_int.html">Previous</a> <a href="Reins.Types.html">Up</a> <a href="Reins.Types.Complex.html">Next</a> </div> <center><h1>Module <a href="type_Reins.Types.Ratio.html">Reins.Types.Ratio</a></h1></center> <br> <pre><span class="keyword">module</span> Ratio: <code class="code">sig</code> <a href="Reins.Types.Ratio.html">..</a> <code class="code">end</code></pre><hr width="100%"> <pre><span id="TYPEratio"><span class="keyword">type</span> <code class="type"></code>ratio</span> = <code class="type">Ratio.ratio</code> </pre> <pre><span id="VALnull_denominator"><span class="keyword">val</span> null_denominator</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALnumerator_ratio"><span class="keyword">val</span> numerator_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a></code></pre><pre><span id="VALdenominator_ratio"><span class="keyword">val</span> denominator_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a></code></pre><pre><span id="VALsign_ratio"><span class="keyword">val</span> sign_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> int</code></pre><pre><span id="VALnormalize_ratio"><span class="keyword">val</span> normalize_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALcautious_normalize_ratio"><span class="keyword">val</span> cautious_normalize_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALcautious_normalize_ratio_when_printing"><span class="keyword">val</span> cautious_normalize_ratio_when_printing</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALcreate_ratio"><span class="keyword">val</span> create_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -><br> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALcreate_normalized_ratio"><span class="keyword">val</span> create_normalized_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -><br> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALis_normalized_ratio"><span class="keyword">val</span> is_normalized_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALreport_sign_ratio"><span class="keyword">val</span> report_sign_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -><br> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a></code></pre><pre><span id="VALabs_ratio"><span class="keyword">val</span> abs_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALis_integer_ratio"><span class="keyword">val</span> is_integer_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALadd_ratio"><span class="keyword">val</span> add_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALminus_ratio"><span class="keyword">val</span> minus_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALadd_int_ratio"><span class="keyword">val</span> add_int_ratio</span> : <code class="type">int -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALadd_big_int_ratio"><span class="keyword">val</span> add_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -><br> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALsub_ratio"><span class="keyword">val</span> sub_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALmult_ratio"><span class="keyword">val</span> mult_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALmult_int_ratio"><span class="keyword">val</span> mult_int_ratio</span> : <code class="type">int -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALmult_big_int_ratio"><span class="keyword">val</span> mult_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -><br> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALsquare_ratio"><span class="keyword">val</span> square_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALinverse_ratio"><span class="keyword">val</span> inverse_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALdiv_ratio"><span class="keyword">val</span> div_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALinteger_ratio"><span class="keyword">val</span> integer_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a></code></pre><pre><span id="VALfloor_ratio"><span class="keyword">val</span> floor_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a></code></pre><pre><span id="VALround_ratio"><span class="keyword">val</span> round_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a></code></pre><pre><span id="VALceiling_ratio"><span class="keyword">val</span> ceiling_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a></code></pre><pre><span id="VALeq_ratio"><span class="keyword">val</span> eq_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALcompare_ratio"><span class="keyword">val</span> compare_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> int</code></pre><pre><span id="VALlt_ratio"><span class="keyword">val</span> lt_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALle_ratio"><span class="keyword">val</span> le_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALgt_ratio"><span class="keyword">val</span> gt_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALge_ratio"><span class="keyword">val</span> ge_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALmax_ratio"><span class="keyword">val</span> max_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALmin_ratio"><span class="keyword">val</span> min_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALeq_big_int_ratio"><span class="keyword">val</span> eq_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALcompare_big_int_ratio"><span class="keyword">val</span> compare_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> int</code></pre><pre><span id="VALlt_big_int_ratio"><span class="keyword">val</span> lt_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALle_big_int_ratio"><span class="keyword">val</span> le_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALgt_big_int_ratio"><span class="keyword">val</span> gt_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALge_big_int_ratio"><span class="keyword">val</span> ge_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> bool</code></pre><pre><span id="VALint_of_ratio"><span class="keyword">val</span> int_of_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> int</code></pre><pre><span id="VALratio_of_int"><span class="keyword">val</span> ratio_of_int</span> : <code class="type">int -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALratio_of_nat"><span class="keyword">val</span> ratio_of_nat</span> : <code class="type">Nat.nat -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALnat_of_ratio"><span class="keyword">val</span> nat_of_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> Nat.nat</code></pre><pre><span id="VALratio_of_big_int"><span class="keyword">val</span> ratio_of_big_int</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALbig_int_of_ratio"><span class="keyword">val</span> big_int_of_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a></code></pre><pre><span id="VALdiv_int_ratio"><span class="keyword">val</span> div_int_ratio</span> : <code class="type">int -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALdiv_ratio_int"><span class="keyword">val</span> div_ratio_int</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> int -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALdiv_big_int_ratio"><span class="keyword">val</span> div_big_int_ratio</span> : <code class="type"><a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -><br> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALdiv_ratio_big_int"><span class="keyword">val</span> div_ratio_big_int</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -><br> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALapprox_ratio_fix"><span class="keyword">val</span> approx_ratio_fix</span> : <code class="type">int -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> string</code></pre><pre><span id="VALapprox_ratio_exp"><span class="keyword">val</span> approx_ratio_exp</span> : <code class="type">int -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> string</code></pre><pre><span id="VALfloat_of_rational_string"><span class="keyword">val</span> float_of_rational_string</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> string</code></pre><pre><span id="VALstring_of_ratio"><span class="keyword">val</span> string_of_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> string</code></pre><pre><span id="VALratio_of_string"><span class="keyword">val</span> ratio_of_string</span> : <code class="type">string -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALfloat_of_ratio"><span class="keyword">val</span> float_of_ratio</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> float</code></pre><pre><span id="VALpower_ratio_positive_int"><span class="keyword">val</span> power_ratio_positive_int</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -> int -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALpower_ratio_positive_big_int"><span class="keyword">val</span> power_ratio_positive_big_int</span> : <code class="type"><a href="Reins.Types.Ratio.html#TYPEratio">ratio</a> -><br> <a href="Reins.Types.Big_int.html#TYPEbig_int">Reins.Types.Big_int.big_int</a> -> <a href="Reins.Types.Ratio.html#TYPEratio">ratio</a></code></pre><pre><span id="VALequal"><span class="keyword">val</span> equal</span> : <code class="type">'a -> 'a -> bool</code></pre><pre><span id="VALhash"><span class="keyword">val</span> hash</span> : <code class="type">'a -> int</code></pre><pre><span id="VALgen"><span class="keyword">val</span> gen</span> : <code class="type">?size:'a -> Random.State.t -> Ratio.ratio</code></pre></body></html>
