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[scilab.git] / scilab / modules / elementary_functions / help / ja_JP / discrete / rat.xml
1 <?xml version="1.0" encoding="UTF-8"?>
2
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13  * For more information, see the COPYING file which you should have received
14  * along with this program.
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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