scilab/modules/elementary_functions/help/ja_JP/discrete/rat.xml

   1 <?xml version="1.0" encoding="UTF-8"?>
   2
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  17
  18 <refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns5="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:id="rat" xml:lang="ja">
  19
  20     <refnamediv>
  21
  22         <refname>rat</refname>
  23
  24         <refpurpose>浮動小数点数の有理数近似</refpurpose>
  25
  26     </refnamediv>
  27
  28     <refsynopsisdiv>
  29
  30         <title>呼び出し手順</title>
  31
  32         <synopsis>[N,D]=rat(X [,tol])
  33
  34             Y=rat(X [,tol])
  35
  36         </synopsis>
  37
  38     </refsynopsisdiv>
  39
  40     <refsection>
  41
  42         <title>引数</title>
  43
  44         <variablelist>
  45
  46             <varlistentry>
  47
  48                 <term>X</term>
  49
  50                 <listitem>
  51
  52                     <para>実数のベクトルまたは行列</para>
  53
  54                 </listitem>
  55
  56             </varlistentry>
  57
  58             <varlistentry>
  59
  60                 <term>tol</term>
  61
  62                 <listitem>
  63
  64                     <para>正の実数スカラー, 許容誤差 (下記参照). デフォルト値は1d-6.</para>
  65
  66                 </listitem>
  67
  68             </varlistentry>
  69
  70             <varlistentry>
  71
  72                 <term>N</term>
  73
  74                 <listitem>
  75
  76                     <para>整数のベクトルまたは行列</para>
  77
  78                 </listitem>
  79
  80             </varlistentry>
  81
  82             <varlistentry>
  83
  84                 <term>D</term>
  85
  86                 <listitem>
  87
  88                     <para>整数のベクトルまたは行列</para>
  89
  90                 </listitem>
  91
  92             </varlistentry>
  93
  94             <varlistentry>
  95
  96                 <term>Y</term>
  97
  98                 <listitem>
  99
 100                     <para>実数のベクトルまたは行列</para>
 101
 102                 </listitem>
 103
 104             </varlistentry>
 105
 106         </variablelist>
 107
 108     </refsection>
 109
 110     <refsection>
 111
 112         <title>説明</title>
 113
 114         <para>
 115
 116             <literal>[N,D] = rat(X,tol)</literal> は,
 117
 118             <literal>abs(N./D - X) &lt;= tol*norm(X,1)*abs(X)</literal>の基準で
 119
 120             <literal>N./D</literal>が<literal>X</literal>に近くなるような
 121
 122             2つの整数行列を返します.
 123
 124         </para>
 125
 126         <para>
 127
 128             <literal>y=rat(x,tol)</literal> は商
 129
 130             <literal>N./D</literal>を返します.
 131
 132         </para>
 133
 134         <para>
 135
 136             有理数近似は分数展開を丸めることにより生成されます.
 137
 138         </para>
 139
 140     </refsection>
 141
 142     <refsection>
 143
 144         <title>例</title>
 145
 146         <programlisting role="example"><![CDATA[
 147 [n,d]=rat([3.5, 1.333333,-0.8])
 148 [n,d]=rat(%pi)
 149 [n,d]=rat(%pi,1.d-12)
 150 n/d-%pi
 151  ]]></programlisting>
 152
 153     </refsection>
 154
 155     <refsection role="see also">
 156
 157         <title>参照</title>
 158
 159         <simplelist type="inline">
 160
 161             <member>
 162
 163                 <link linkend="int">int</link>
 164
 165             </member>
 166
 167             <member>
 168
 169                 <link linkend="round">round</link>
 170
 171             </member>
 172
 173         </simplelist>
 174
 175     </refsection>
 176
 177 </refentry>
 178