File: modulo.xml

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<?xml version="1.0" encoding="UTF-8"?>
<refentry version="5.0-subset Scilab" xml:id="modulo" xml:lang="fr"
          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">
  <info>
    <pubdate>$LastChangedDate$</pubdate>
  </info>

  <refnamediv>
    <refname>modulo</refname>

    <refpurpose>reste arithmétique symétrique modulo m</refpurpose>
  </refnamediv>

  <refnamediv xml:id="pmodulo">
    <refname>pmodulo</refname>

    <refpurpose>reste arithmétique positif modulo m</refpurpose>
  </refnamediv>

  <refsynopsisdiv>
    <title>Séquence d'appel</title>

    <synopsis>i=modulo(n,m)
i=pmodulo(n,m)</synopsis>
  </refsynopsisdiv>

  <refsection>
    <title>Paramètres</title>

    <variablelist>
      <varlistentry>
        <term>n</term>

        <listitem>
          <para>entier</para>
        </listitem>
      </varlistentry>

      <varlistentry>
        <term>m</term>

        <listitem>
          <para>entier</para>
        </listitem>
      </varlistentry>
    </variablelist>
  </refsection>

  <refsection>
    <title>Description</title>

    <para><literal>modulo</literal> calcule <literal>i= n (modulo m)</literal>
    c'est à dire le reste de <literal>n</literal> divisé par
    <literal>m</literal> (<literal>n</literal> et <literal>m</literal> sont
    entiers).</para>

    <para>i = n - m .* int (n ./ m). Ici la réponse peut être négative si
    <literal>n</literal> et/ou <literal>m</literal> sont négatifs.</para>

    <para><literal>pmodulo</literal> calcule <literal>i = n - m .* floor (n ./
    m)</literal>, la réponse est positive ou nulle.</para>
  </refsection>

  <refsection>
    <title>Exemples</title>

    <programlisting role="example"><![CDATA[ 
n=[1,2,10,15];m=[2,2,3,5];
modulo(n,m)

modulo(-3,9)
pmodulo(-3,9)
 ]]></programlisting>
  </refsection>
</refentry>