- Special functions. See bug #11643. 57/8557/2
Sylvestre Ledru [Mon, 6 Aug 2012 09:40:48 +0000 (11:40 +0200)]
Change-Id: Ieb3b620a9f7aa7a6093f0df7f332e6f49b1f2aad

37 files changed:
scilab/CHANGES_5.4.X
scilab/modules/elementary_functions/help/en_US/amell.xml [deleted file]
scilab/modules/elementary_functions/help/en_US/delip.xml [deleted file]
scilab/modules/elementary_functions/help/fr_FR/amell.xml [deleted file]
scilab/modules/elementary_functions/help/fr_FR/delip.xml [deleted file]
scilab/modules/elementary_functions/help/ja_JP/amell.xml [deleted file]
scilab/modules/elementary_functions/help/ja_JP/delip.xml [deleted file]
scilab/modules/elementary_functions/help/pt_BR/amell.xml [deleted file]
scilab/modules/elementary_functions/help/pt_BR/delip.xml [deleted file]
scilab/modules/elementary_functions/help/ru_RU/amell.xml [deleted file]
scilab/modules/elementary_functions/help/ru_RU/delip.xml [deleted file]
scilab/modules/signal_processing/help/en_US/findm.xml [deleted file]
scilab/modules/signal_processing/help/en_US/percentasn.xml [deleted file]
scilab/modules/signal_processing/help/en_US/percentk.xml [deleted file]
scilab/modules/signal_processing/help/en_US/percentsn.xml [deleted file]
scilab/modules/signal_processing/help/ja_JP/findm.xml [deleted file]
scilab/modules/signal_processing/help/ja_JP/percentasn.xml [deleted file]
scilab/modules/signal_processing/help/ja_JP/percentk.xml [deleted file]
scilab/modules/signal_processing/help/ja_JP/percentsn.xml [deleted file]
scilab/modules/special_functions/help/en_US/amell.xml [new file with mode: 0644]
scilab/modules/special_functions/help/en_US/delip.xml [new file with mode: 0644]
scilab/modules/special_functions/help/en_US/findm.xml [new file with mode: 0644]
scilab/modules/special_functions/help/en_US/percentasn.xml [new file with mode: 0644]
scilab/modules/special_functions/help/en_US/percentk.xml [new file with mode: 0644]
scilab/modules/special_functions/help/en_US/percentsn.xml [new file with mode: 0644]
scilab/modules/special_functions/help/fr_FR/amell.xml [new file with mode: 0644]
scilab/modules/special_functions/help/fr_FR/delip.xml [new file with mode: 0644]
scilab/modules/special_functions/help/ja_JP/amell.xml [new file with mode: 0644]
scilab/modules/special_functions/help/ja_JP/delip.xml [new file with mode: 0644]
scilab/modules/special_functions/help/ja_JP/findm.xml [new file with mode: 0644]
scilab/modules/special_functions/help/ja_JP/percentasn.xml [new file with mode: 0644]
scilab/modules/special_functions/help/ja_JP/percentk.xml [new file with mode: 0644]
scilab/modules/special_functions/help/ja_JP/percentsn.xml [new file with mode: 0644]
scilab/modules/special_functions/help/pt_BR/amell.xml [new file with mode: 0644]
scilab/modules/special_functions/help/pt_BR/delip.xml [new file with mode: 0644]
scilab/modules/special_functions/help/ru_RU/amell.xml [new file with mode: 0644]
scilab/modules/special_functions/help/ru_RU/delip.xml [new file with mode: 0644]

index 32db32c..8e37d6f 100644 (file)
@@ -15,6 +15,7 @@ Documentation
 * Categories have been created for the following modules help pages:
     - Functions (libraries sub-category). See bug #11642.
     - Linear algebra. See bug #11562.
+    - Special functions. See bug #11643.
 
 
 Bug Fixes
diff --git a/scilab/modules/elementary_functions/help/en_US/amell.xml b/scilab/modules/elementary_functions/help/en_US/amell.xml
deleted file mode 100644 (file)
index 0da8539..0000000
+++ /dev/null
@@ -1,68 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<!--
- * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
- * Copyright (C) 2008 - INRIA
- * 
- * This file must be used under the terms of the CeCILL.
- * This source file is licensed as described in the file COPYING, which
- * you should have received as part of this distribution.  The terms
- * are also available at    
- * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
- *
- -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="amell">
-  <refnamediv>
-    <refname>amell</refname>
-    <refpurpose> Jacobi's am function</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Calling Sequence</title>
-    <synopsis>[sn]=amell(u,k)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Arguments</title>
-    <variablelist>
-      <varlistentry>
-        <term>u</term>
-        <listitem>
-          <para>real scalar or vector</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>k</term>
-        <listitem>
-          <para>scalar</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>sn</term>
-        <listitem>
-          <para>real scalar or vector</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Description</title>
-    <para>
-      Computes Jacobi's elliptic function <literal>am(u,k)</literal>
-      where <literal>k</literal> is the parameter and <literal>u</literal> is the argument. If <literal>u</literal> 
-      is a vector <literal>sn</literal> is the vector of the (element wise) computed values.
-      Used in function <literal>%sn</literal>.
-    </para>
-  </refsection>
-  <refsection role="see also">
-    <title>See Also</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="delip">delip</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/en_US/delip.xml b/scilab/modules/elementary_functions/help/en_US/delip.xml
deleted file mode 100644 (file)
index 2e796fa..0000000
+++ /dev/null
@@ -1,149 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<!--
- * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
- * Copyright (C) 2008 - INRIA
- * 
- * This file must be used under the terms of the CeCILL.
- * This source file is licensed as described in the file COPYING, which
- * you should have received as part of this distribution.  The terms
- * are also available at    
- * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
- *
- -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="en">
-  <refnamediv>
-    <refname>delip</refname>
-    <refpurpose>complete and incomplete elliptic integral of first
-      kind
-    </refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Calling Sequence</title>
-    <synopsis>[r]=delip(x,ck)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Arguments</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>real vector/matrix with nonnegative elements</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>ck</term>
-        <listitem>
-          <para>real number between -1 and 1</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>r</term>
-        <listitem>
-          <para>real or complex number (or vector/matrix) with the same size as
-            <literal>x</literal>
-          </para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Description</title>
-    <para>The elliptic integral of the first kind with parameter
-      <literal>ck</literal> is defined as follow:
-    </para>
-    <para>
-      <inlinemediaobject>
-        <imageobject>
-          <imagedata align="center">
-            <mml:math>
-              <mml:semantics>
-                <mml:mrow>
-                  <mml:munderover>
-                    <mml:mo mml:stretchy="false">∫</mml:mo>
-                    <mml:mn>0</mml:mn>
-                    <mml:mi>x</mml:mi>
-                  </mml:munderover>
-                  <mml:mfrac>
-                    <mml:mi mml:fontstyle="italic">dt</mml:mi>
-                    <mml:msqrt>
-                      <mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mn>1</mml:mn>
-                            <mml:mo mml:stretchy="false">−</mml:mo>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mrow>
-                              <mml:mn>1</mml:mn>
-                              <mml:mo mml:stretchy="false">−</mml:mo>
-                              <mml:msubsup>
-                                <mml:mi>c</mml:mi>
-                                <mml:mi>k</mml:mi>
-                                <mml:mn>2</mml:mn>
-                              </mml:msubsup>
-                            </mml:mrow>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                      </mml:mrow>
-                    </mml:msqrt>
-                  </mml:mfrac>
-                </mml:mrow>
-                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
-                  (1-t^2)(1-c_k^2 t^2)}}
-                </mml:annotation>
-              </mml:semantics>
-            </mml:math>
-          </imagedata>
-        </imageobject>
-      </inlinemediaobject>
-    </para>
-    <para>
-      Where <literal>x</literal> is real and positive,
-      <literal>ck</literal> is in <literal>[-1 1]</literal>.
-    </para>
-    <para>
-      If <literal>x</literal>  is less than 1 the result is real.
-    </para>
-    <para>
-      When called with <literal>x</literal> a vector/matrix <literal>r</literal>
-      is evaluated for each entry of <literal>x</literal>.
-    </para>
-  </refsection>
-  <refsection>
-    <title>Examples</title>
-    <programlisting role="example"><![CDATA[ 
-ck=0.5;
-delip([1,2],ck)
-deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
-intg(0,1,f)    //OK since real solution!
- ]]></programlisting>
-  </refsection>
-  <refsection role="see also">
-    <title>See Also</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="amell">amell</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/fr_FR/amell.xml b/scilab/modules/elementary_functions/help/fr_FR/amell.xml
deleted file mode 100644 (file)
index 8da5acc..0000000
+++ /dev/null
@@ -1,60 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="fr" xml:id="amell">
-  <refnamediv>
-    <refname>amell</refname>
-    <refpurpose> Fonction am de Jacobi  </refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Séquence d'appel</title>
-    <synopsis>[sn]=amell(u,k)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Paramètres</title>
-    <variablelist>
-      <varlistentry>
-        <term>u  </term>
-        <listitem>
-          <para>scalaire ou vecteur réel
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>k  </term>
-        <listitem>
-          <para>scalaire
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>sn  </term>
-        <listitem>
-          <para>scalaire ou vecteur réel
-          </para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Description</title>
-    <para>
-      Calcule la fonction elliptique de Jacobi <literal>am(u,k)</literal>
-      où <literal>k</literal> est le paramètre et <literal>u</literal> l'argument. Si <literal>u</literal> 
-      est un vecteur <literal>sn</literal> est le vecteur des valeurs calculées (élément par élément).
-      Utilisé dans la fonction <literal>%sn</literal>.
-    </para>
-  </refsection>
-  <refsection role="see also">
-    <title>Voir aussi</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="delip">delip</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/fr_FR/delip.xml b/scilab/modules/elementary_functions/help/fr_FR/delip.xml
deleted file mode 100644 (file)
index 8b3d83c..0000000
+++ /dev/null
@@ -1,137 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="fr">
-  <refnamediv>
-    <refname>delip</refname>
-    <refpurpose>intégrale elliptique complete ou incomplete du premier
-      type
-    </refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Séquence d'appel</title>
-    <synopsis>[r]=delip(x,ck)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Paramètres</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>vecteur réel à éléments non négatifs</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>ck</term>
-        <listitem>
-          <para>scalaire entre -1 et 1</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>r</term>
-        <listitem>
-          <para>réel ou complexe (ou vecteur)</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Description</title>
-    <para>L'integrale élliptique du premier type pour le paramètre
-      <literal>ck</literal> est définie par:
-    </para>
-    <para>
-      <inlinemediaobject>
-        <imageobject>
-          <imagedata>
-            <mml:math>
-              <mml:semantics>
-                <mml:mrow>
-                  <mml:munderover>
-                    <mml:mo mml:stretchy="false">∫</mml:mo>
-                    <mml:mn>0</mml:mn>
-                    <mml:mi>x</mml:mi>
-                  </mml:munderover>
-                  <mml:mfrac>
-                    <mml:mi mml:fontstyle="italic">dt</mml:mi>
-                    <mml:msqrt>
-                      <mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mn>1</mml:mn>
-                            <mml:mo mml:stretchy="false">−</mml:mo>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mrow>
-                              <mml:mn>1</mml:mn>
-                              <mml:mo mml:stretchy="false">−</mml:mo>
-                              <mml:msubsup>
-                                <mml:mi>c</mml:mi>
-                                <mml:mi>k</mml:mi>
-                                <mml:mn>2</mml:mn>
-                              </mml:msubsup>
-                            </mml:mrow>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                      </mml:mrow>
-                    </mml:msqrt>
-                  </mml:mfrac>
-                </mml:mrow>
-                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
-                  (1-t^2)(1-c_k^2 t^2)}}
-                </mml:annotation>
-              </mml:semantics>
-            </mml:math>
-          </imagedata>
-        </imageobject>
-      </inlinemediaobject>
-    </para>
-    <para>
-      Où <literal>x</literal> est réel et positif,<literal>ck</literal>
-      est dans l'intervalle <literal>[-1 1]</literal>.
-    </para>
-    <para>
-      Si <literal>x</literal> est plus petit ou égal a 1 le resultat est
-      réel
-    </para>
-    <para>
-      Quand <literal>x</literal> est un vecteur <literal>r</literal> est
-      évalué pour chaque composante de <literal>x</literal>.
-    </para>
-  </refsection>
-  <refsection>
-    <title>Exemples</title>
-    <programlisting role="example"><![CDATA[ 
-ck=0.5;
-delip([1,2],ck)
-deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
-intg(0,1,f)    // OK puisque la solution est réelle !
- ]]></programlisting>
-  </refsection>
-  <refsection role="see also">
-    <title>Voir aussi</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="amell">amell</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/ja_JP/amell.xml b/scilab/modules/elementary_functions/help/ja_JP/amell.xml
deleted file mode 100644 (file)
index 7704c6d..0000000
+++ /dev/null
@@ -1,69 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<!--
- * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
- * Copyright (C) 2008 - INRIA
- * 
- * This file must be used under the terms of the CeCILL.
- * This source file is licensed as described in the file COPYING, which
- * you should have received as part of this distribution.  The terms
- * are also available at    
- * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
- *
- -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="amell">
-  <refnamediv>
-    <refname>amell</refname>
-    <refpurpose>ヤコビのam関数</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>呼び出し手順</title>
-    <synopsis>[sn]=amell(u,k)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>パラメータ</title>
-    <variablelist>
-      <varlistentry>
-        <term>u</term>
-        <listitem>
-          <para>実数スカラーまたはベクトル</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>k</term>
-        <listitem>
-          <para>スカラー</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>sn</term>
-        <listitem>
-          <para>実数スカラーまたはベクトル</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>説明</title>
-    <para>
-      ヤコビの楕円関数 <literal>am(u,k)</literal>を計算します.
-      ただし, 
-      <literal>k</literal> はパラメータ, <literal>u</literal> は引数です. <literal>u</literal> 
-      はベクトル, <literal>sn</literal> は(要素毎の)計算値のベクトルです.
-      関数<literal>%sn</literal>で使用されます.
-    </para>
-  </refsection>
-  <refsection role="see also">
-    <title>参照</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="delip">delip</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/ja_JP/delip.xml b/scilab/modules/elementary_functions/help/ja_JP/delip.xml
deleted file mode 100644 (file)
index eb9b24f..0000000
+++ /dev/null
@@ -1,150 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<!--
- * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
- * Copyright (C) 2008 - INRIA
- * 
- * This file must be used under the terms of the CeCILL.
- * This source file is licensed as described in the file COPYING, which
- * you should have received as part of this distribution.  The terms
- * are also available at    
- * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
- *
- -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="ja">
-  <refnamediv>
-    <refname>delip</refname>
-    <refpurpose>
-      第一種の完全および不完全楕円積分
-    </refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>呼び出し手順</title>
-    <synopsis>[r]=delip(x,ck)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>パラメータ</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>非負の要素を有する実数ベクトル</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>ck</term>
-        <listitem>
-          <para>-1 と 1の間の実数</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>r</term>
-        <listitem>
-          <para>
-            <literal>x</literal>と同じ大きさの
-            実数または複素数(またはベクトル)
-          </para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>説明</title>
-    <para>
-      引数<literal>ck</literal>の
-      第一種の楕円積分は以下のように定義されます:
-    </para>
-    <para>
-      <inlinemediaobject>
-        <imageobject>
-          <imagedata align="center">
-            <mml:math>
-              <mml:semantics>
-                <mml:mrow>
-                  <mml:munderover>
-                    <mml:mo mml:stretchy="false">∫</mml:mo>
-                    <mml:mn>0</mml:mn>
-                    <mml:mi>x</mml:mi>
-                  </mml:munderover>
-                  <mml:mfrac>
-                    <mml:mi mml:fontstyle="italic">dt</mml:mi>
-                    <mml:msqrt>
-                      <mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mn>1</mml:mn>
-                            <mml:mo mml:stretchy="false">−</mml:mo>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mrow>
-                              <mml:mn>1</mml:mn>
-                              <mml:mo mml:stretchy="false">−</mml:mo>
-                              <mml:msubsup>
-                                <mml:mi>c</mml:mi>
-                                <mml:mi>k</mml:mi>
-                                <mml:mn>2</mml:mn>
-                              </mml:msubsup>
-                            </mml:mrow>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                      </mml:mrow>
-                    </mml:msqrt>
-                  </mml:mfrac>
-                </mml:mrow>
-                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
-                  (1-t^2)(1-c_k^2 t^2)}}
-                </mml:annotation>
-              </mml:semantics>
-            </mml:math>
-          </imagedata>
-        </imageobject>
-      </inlinemediaobject>
-    </para>
-    <para>
-      ただし, <literal>x</literal> は実数および正で,
-      <literal>ck</literal> は <literal>[-1 1]</literal>の範囲となります.
-    </para>
-    <para>x が1より小さい場合,結果は実数となります.</para>
-    <para>
-      <literal>x</literal>を指定して
-      コールされた場合,<literal>x</literal>の各エントリについて
-      ベクトル<literal>r</literal>が評価されます.
-    </para>
-  </refsection>
-  <refsection>
-    <title>例</title>
-    <programlisting role="example"><![CDATA[ 
-ck=0.5;
-delip([1,2],ck)
-deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
-intg(0,1,f)    //OK since real solution!
- ]]></programlisting>
-  </refsection>
-  <refsection role="see also">
-    <title>参照</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="amell">amell</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/pt_BR/amell.xml b/scilab/modules/elementary_functions/help/pt_BR/amell.xml
deleted file mode 100644 (file)
index ea1c1b1..0000000
+++ /dev/null
@@ -1,69 +0,0 @@
-<?xml version="1.0" encoding="ISO-8859-1"?>
-<!--
- * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
- * Copyright (C) 2008 - INRIA
- * 
- * This file must be used under the terms of the CeCILL.
- * This source file is licensed as described in the file COPYING, which
- * you should have received as part of this distribution.  The terms
- * are also available at    
- * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
- *
- -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="amell" xml:lang="en">
-  <refnamediv>
-    <refname>amell</refname>
-    <refpurpose>função "am" de Jacobi</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Seqüência de Chamamento</title>
-    <synopsis>[sn]=amell(u,k)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Parâmetros</title>
-    <variablelist>
-      <varlistentry>
-        <term>u</term>
-        <listitem>
-          <para>escalar real ou vetor de reais </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>k</term>
-        <listitem>
-          <para>escalar </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>sn</term>
-        <listitem>
-          <para>escalar real ou vetor de reais</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Descrição</title>
-    <para>
-      Computa a função elíptica de Jacobi <literal>am(u,k)</literal> onde
-      <literal>k</literal> é o parâmetro e <literal>u</literal> é o argumento.
-      Se <literal>u</literal> é um vetor <literal>sn</literal> é o vetor dos
-      valores computados (elemento a elemento) . Usado na função
-      <literal>%sn</literal>.
-    </para>
-  </refsection>
-  <refsection role="see also">
-    <title>Ver Também</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="delip">delip</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/pt_BR/delip.xml b/scilab/modules/elementary_functions/help/pt_BR/delip.xml
deleted file mode 100644 (file)
index 5c95115..0000000
+++ /dev/null
@@ -1,146 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<!--
- * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
- * Copyright (C) 2008 - INRIA
- * 
- * This file must be used under the terms of the CeCILL.
- * This source file is licensed as described in the file COPYING, which
- * you should have received as part of this distribution.  The terms
- * are also available at    
- * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
- *
- -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="en">
-  <refnamediv>
-    <refname>delip</refname>
-    <refpurpose>Integral elíptica</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Seqüência de Chamamento</title>
-    <synopsis>[r]=delip(x,ck)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Parâmetros</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>vetor real com elementos não-negativos</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>ck</term>
-        <listitem>
-          <para>número real entre -1 e 1 </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>r</term>
-        <listitem>
-          <para>número real ou complexo ou vetor de reais ou complexos com
-            mesmo tamanho que <literal>x</literal>
-          </para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Descrição</title>
-    <para>A integral elíptica de primeira espécie com parâmetro
-      <literal>ck</literal> definido como segue:
-    </para>
-    <para>
-      <inlinemediaobject>
-        <imageobject>
-          <imagedata>
-            <mml:math>
-              <mml:semantics>
-                <mml:mrow>
-                  <mml:munderover>
-                    <mml:mo mml:stretchy="false">∫</mml:mo>
-                    <mml:mn>0</mml:mn>
-                    <mml:mi>x</mml:mi>
-                  </mml:munderover>
-                  <mml:mfrac>
-                    <mml:mi mml:fontstyle="italic">dt</mml:mi>
-                    <mml:msqrt>
-                      <mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mn>1</mml:mn>
-                            <mml:mo mml:stretchy="false">−</mml:mo>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mrow>
-                              <mml:mn>1</mml:mn>
-                              <mml:mo mml:stretchy="false">−</mml:mo>
-                              <mml:msubsup>
-                                <mml:mi>c</mml:mi>
-                                <mml:mi>k</mml:mi>
-                                <mml:mn>2</mml:mn>
-                              </mml:msubsup>
-                            </mml:mrow>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                      </mml:mrow>
-                    </mml:msqrt>
-                  </mml:mfrac>
-                </mml:mrow>
-                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
-                  (1-t^2)(1-c_k^2 t^2)}}
-                </mml:annotation>
-              </mml:semantics>
-            </mml:math>
-          </imagedata>
-        </imageobject>
-      </inlinemediaobject>
-    </para>
-    <para>
-      Onde <literal>x</literal> é real e positivo e <literal>ck</literal>
-      está em <literal>[-1 1]</literal>.
-    </para>
-    <para>Se x é menor do que ou igual a 1, o resultado é real.</para>
-    <para>
-      Quando chamado com <literal>x</literal>, um vetor real
-      <literal>r</literal> é avaliado para cada entrada de
-      <literal>x</literal>.
-    </para>
-  </refsection>
-  <refsection>
-    <title>Exemplos</title>
-    <programlisting role="example"><![CDATA[ 
-ck=0.5;
-delip([1,2],ck)
-deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
-intg(0,1,f)    //OK, desde que a solução seja real!
- ]]></programlisting>
-  </refsection>
-  <refsection>
-    <title>Ver Também</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="amell">amell</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/ru_RU/amell.xml b/scilab/modules/elementary_functions/help/ru_RU/amell.xml
deleted file mode 100644 (file)
index d6dcd64..0000000
+++ /dev/null
@@ -1,68 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<!--
- * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
- * Copyright (C) 2008 - INRIA
- * 
- * This file must be used under the terms of the CeCILL.
- * This source file is licensed as described in the file COPYING, which
- * you should have received as part of this distribution.  The terms
- * are also available at    
- * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
- *
- -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ru" xml:id="amell">
-  <refnamediv>
-    <refname>amell</refname>
-    <refpurpose> Эллиптическая функция am Якоби</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Последовательность вызова</title>
-    <synopsis>[sn]=amell(u,k)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Аргументы</title>
-    <variablelist>
-      <varlistentry>
-        <term>u</term>
-        <listitem>
-          <para>вещественный скаляр или вектор</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>k</term>
-        <listitem>
-          <para>скаляр</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>sn</term>
-        <listitem>
-          <para>вещественный скаляр или вектор</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Описание</title>
-    <para>
-      Вычисляет эллиптическую функцию <literal>am(u,k)</literal> Якоби, где
-      <literal>k</literal> - параметр, а <literal>u</literal> - аргумент. Если 
-      <literal>u</literal> является вектором, то <literal>sn</literal> является вектором 
-      вычисленных (поэлементно) значений. Используется в функции <literal>%sn</literal>.
-    </para>
-  </refsection>
-  <refsection role="see also">
-    <title>Смотрите также</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="delip">delip</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/elementary_functions/help/ru_RU/delip.xml b/scilab/modules/elementary_functions/help/ru_RU/delip.xml
deleted file mode 100644 (file)
index 4bd2850..0000000
+++ /dev/null
@@ -1,149 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<!--
- * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
- * Copyright (C) 2008 - INRIA
- * 
- * This file must be used under the terms of the CeCILL.
- * This source file is licensed as described in the file COPYING, which
- * you should have received as part of this distribution.  The terms
- * are also available at    
- * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
- *
- -->
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="ru">
-  <refnamediv>
-    <refname>delip</refname>
-    <refpurpose>полный и неполный эллиптический интеграл первого рода</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Последовательность вызова</title>
-    <synopsis>[r]=delip(x,ck)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Аргументы</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>вещественный вектор/матрица с неотрицательными элементами real vector with non negative elements</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>ck</term>
-        <listitem>
-          <para>вещественное число между -1 и 1</para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>r</term>
-        <listitem>
-          <para>
-            вещественное или комплексное число (или вектор/матрица) того же
-            размера, что и <literal>x</literal>
-          </para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Описание</title>
-    <para>
-      Эллиптический интеграл первого рода с параметром <literal>ck</literal> 
-      определяется как:
-    </para>
-    <para>
-      <inlinemediaobject>
-        <imageobject>
-          <imagedata align="center">
-            <mml:math>
-              <mml:semantics>
-                <mml:mrow>
-                  <mml:munderover>
-                    <mml:mo mml:stretchy="false">∫</mml:mo>
-                    <mml:mn>0</mml:mn>
-                    <mml:mi>x</mml:mi>
-                  </mml:munderover>
-                  <mml:mfrac>
-                    <mml:mi mml:fontstyle="italic">dt</mml:mi>
-                    <mml:msqrt>
-                      <mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mn>1</mml:mn>
-                            <mml:mo mml:stretchy="false">−</mml:mo>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                        <mml:mrow>
-                          <mml:mo mml:stretchy="false">(</mml:mo>
-                          <mml:mrow>
-                            <mml:mrow>
-                              <mml:mn>1</mml:mn>
-                              <mml:mo mml:stretchy="false">−</mml:mo>
-                              <mml:msubsup>
-                                <mml:mi>c</mml:mi>
-                                <mml:mi>k</mml:mi>
-                                <mml:mn>2</mml:mn>
-                              </mml:msubsup>
-                            </mml:mrow>
-                            <mml:msup>
-                              <mml:mi>t</mml:mi>
-                              <mml:mn>2</mml:mn>
-                            </mml:msup>
-                          </mml:mrow>
-                          <mml:mo mml:stretchy="false">)</mml:mo>
-                        </mml:mrow>
-                      </mml:mrow>
-                    </mml:msqrt>
-                  </mml:mfrac>
-                </mml:mrow>
-                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
-                  (1-t^2)(1-c_k^2 t^2)}}
-                </mml:annotation>
-              </mml:semantics>
-            </mml:math>
-          </imagedata>
-        </imageobject>
-      </inlinemediaobject>
-    </para>
-    <para>
-      Где <literal>x</literal> - вещественное положительное число,
-      <literal>ck</literal> - лежит на интервале <literal>[-1 1]</literal>.
-    </para>
-    <para>
-      Если <literal>x</literal> меньше 1, то результат вещественный.
-    </para>
-    <para>
-      Вектор/матрица <literal>r</literal>
-      вычисляется для каждого элемента <literal>x</literal>.
-    </para>
-  </refsection>
-  <refsection>
-    <title>Примеры</title>
-    <programlisting role="example"><![CDATA[ 
-ck=0.5;
-delip([1,2],ck)
-deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
-intg(0,1,f)    //OK так как решение вещественное!
- ]]></programlisting>
-  </refsection>
-  <refsection role="see also">
-    <title>Смотрите также</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="amell">amell</link>
-      </member>
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-      <member>
-        <link linkend="percentsn">%sn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/signal_processing/help/en_US/findm.xml b/scilab/modules/signal_processing/help/en_US/findm.xml
deleted file mode 100644 (file)
index 9f33690..0000000
+++ /dev/null
@@ -1,26 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="findm">
-  <refnamediv>
-    <refname>findm</refname>
-    <refpurpose> for elliptic filter design</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Calling Sequence</title>
-    <synopsis>[m]=findm(chi)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Description</title>
-    <para>
-      Search for <literal>m</literal> such that <literal>chi = %k(1-m)/%k(m)</literal>
-      (For use with <literal>find_freq</literal>).
-    </para>
-  </refsection>
-  <refsection role="see also">
-    <title>See Also</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="percentk">%k</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/signal_processing/help/en_US/percentasn.xml b/scilab/modules/signal_processing/help/en_US/percentasn.xml
deleted file mode 100644 (file)
index a24ebdf..0000000
+++ /dev/null
@@ -1,62 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="percentasn">
-  <refnamediv>
-    <refname>%asn</refname>
-    <refpurpose> elliptic integral</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Calling Sequence</title>
-    <synopsis>[y]=%asn(x,m)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Arguments</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>
-            upper limit of integral (<literal>x&gt;0</literal>) (can be a vector)
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>m</term>
-        <listitem>
-          <para>
-            parameter of integral (<literal>0&lt;m&lt;1</literal>)
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>y</term>
-        <listitem>
-          <para>value of the integral</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Description</title>
-    <para>
-      Calculates the elliptic integral
-    </para>
-    <para>
-      If <literal>x</literal> is a vector, <literal>y</literal> is a vector of same dimension as <literal>x</literal>.
-    </para>
-  </refsection>
-  <refsection>
-    <title>Examples</title>
-    <programlisting role="example"><![CDATA[ 
-m=0.8;z=%asn(1/sqrt(m),m);K=real(z);Ktilde=imag(z);
-x2max=1/sqrt(m);
-x1=0:0.05:1;x2=1:((x2max-1)/20):x2max;x3=x2max:0.05:10;
-x=[x1,x2,x3];
-y=%asn(x,m);
-rect=[0,-Ktilde,1.1*K,2*Ktilde];
-plot2d(real(y)',imag(y)',1,'011',' ',rect)
-
-deff('y=f(t)','y=1/sqrt((1-t^2)*(1-m*t^2))');
-intg(0,0.9,f)-%asn(0.9,m)  //Works for real case only!
- ]]></programlisting>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/signal_processing/help/en_US/percentk.xml b/scilab/modules/signal_processing/help/en_US/percentk.xml
deleted file mode 100644 (file)
index 521d0b0..0000000
+++ /dev/null
@@ -1,59 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="percentk">
-  <refnamediv>
-    <refname>%k</refname>
-    <refpurpose> Jacobi's complete elliptic integral</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Calling Sequence</title>
-    <synopsis>[K]=%k(m)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Arguments</title>
-    <variablelist>
-      <varlistentry>
-        <term>m</term>
-        <listitem>
-          <para>
-            parameter of the elliptic integral <literal>0&lt;m&lt;1</literal> (<literal>m</literal> can be a vector)
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>K</term>
-        <listitem>
-          <para>value of the elliptic integral from 0 to 1 on the real axis</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Description</title>
-    <para>
-      Calculates Jacobi's complete elliptic integral
-      of the first kind :
-    </para>
-  </refsection>
-  <refsection>
-    <title>References</title>
-    <para>
-      Abramowitz and Stegun page 598
-    </para>
-  </refsection>
-  <refsection>
-    <title>Examples</title>
-    <programlisting role="example"><![CDATA[ 
-m=0.4;
-%asn(1,m)
-%k(m)
- ]]></programlisting>
-  </refsection>
-  <refsection role="see also">
-    <title>See Also</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/signal_processing/help/en_US/percentsn.xml b/scilab/modules/signal_processing/help/en_US/percentsn.xml
deleted file mode 100644 (file)
index 1c28831..0000000
+++ /dev/null
@@ -1,78 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="percentsn">
-  <refnamediv>
-    <refname>%sn</refname>
-    <refpurpose> Jacobi 's elliptic function</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>Calling Sequence</title>
-    <synopsis>[y]=%sn(x,m)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>Arguments</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>
-            a point inside the fundamental rectangle  defined by the elliptic integral; <literal>x</literal> is a vector of complex numbers
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>m</term>
-        <listitem>
-          <para>
-            parameter of the elliptic integral (<literal>0&lt;m&lt;1</literal>)
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>y</term>
-        <listitem>
-          <para>result</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>Description</title>
-    <para>
-      Jacobi 's sn elliptic function with parameter <literal>m</literal>: the inverse 
-      of the elliptic integral for the parameter <literal>m</literal>.
-    </para>
-    <para>
-      The amplitude am is computed in fortran and 
-      the addition formulas for elliptic functions are applied
-    </para>
-  </refsection>
-  <refsection>
-    <title>Examples</title>
-    <programlisting role="example"><![CDATA[ 
-m=0.36;
-K=%k(m);
-P=4*K; //Real period
-real_val=0:(P/50):P;
-plot(real_val,real(%sn(real_val,m)))
-clf();
-KK=%k(1-m);
-Ip=2*KK;
-ima_val1=0:(Ip/50):KK-0.001;
-ima_val2=(KK+0.05):(Ip/25):(Ip+KK);
-z1=%sn(%i*ima_val1,m);z2=%sn(%i*ima_val2,m);
-plot2d([ima_val1',ima_val2'],[imag(z1)',imag(z2)']);
-xgrid(3)
- ]]></programlisting>
-  </refsection>
-  <refsection role="see also">
-    <title>See Also</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-      <member>
-        <link linkend="percentk">%k</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/signal_processing/help/ja_JP/findm.xml b/scilab/modules/signal_processing/help/ja_JP/findm.xml
deleted file mode 100644 (file)
index 96dca2e..0000000
+++ /dev/null
@@ -1,27 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="findm">
-  <refnamediv>
-    <refname>findm</refname>
-    <refpurpose>楕円フィルタ設計用</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>呼び出し手順</title>
-    <synopsis>[m]=findm(chi)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>説明</title>
-    <para>
-      <literal>chi = %k(1-m)/%k(m)</literal>となるような<literal>m</literal>を
-      探索します
-      (<literal>find_freq</literal>で使用されます).
-    </para>
-  </refsection>
-  <refsection role="see also">
-    <title>参照</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="percentk">%k</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/signal_processing/help/ja_JP/percentasn.xml b/scilab/modules/signal_processing/help/ja_JP/percentasn.xml
deleted file mode 100644 (file)
index 9b81ea4..0000000
+++ /dev/null
@@ -1,63 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="percentasn">
-  <refnamediv>
-    <refname>%asn</refname>
-    <refpurpose>楕円積分 l</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>呼び出し手順</title>
-    <synopsis>[y]=%asn(x,m)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>パラメータ</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>
-            積分の上限 (<literal>x&gt;0</literal>) (ベクトルにすることが可能)
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>m</term>
-        <listitem>
-          <para>
-            積分のパラメータ (<literal>0&lt;m&lt;1</literal>)
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>y</term>
-        <listitem>
-          <para>積分値</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>説明</title>
-    <para>
-      楕円積分を計算します.
-    </para>
-    <para>
-      <literal>x</literal>がベクトルの場合, <literal>y</literal> は
-      <literal>x</literal>と同じ次元のベクトルとなります.
-    </para>
-  </refsection>
-  <refsection>
-    <title>例</title>
-    <programlisting role="example"><![CDATA[ 
-m=0.8;z=%asn(1/sqrt(m),m);K=real(z);Ktilde=imag(z);
-x2max=1/sqrt(m);
-x1=0:0.05:1;x2=1:((x2max-1)/20):x2max;x3=x2max:0.05:10;
-x=[x1,x2,x3];
-y=%asn(x,m);
-rect=[0,-Ktilde,1.1*K,2*Ktilde];
-plot2d(real(y)',imag(y)',1,'011',' ',rect)
-
-deff('y=f(t)','y=1/sqrt((1-t^2)*(1-m*t^2))');
-intg(0,0.9,f)-%asn(0.9,m)  //実数の場合のみ動作します!
- ]]></programlisting>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/signal_processing/help/ja_JP/percentk.xml b/scilab/modules/signal_processing/help/ja_JP/percentk.xml
deleted file mode 100644 (file)
index 93d0d6e..0000000
+++ /dev/null
@@ -1,61 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="percentk">
-  <refnamediv>
-    <refname>%k</refname>
-    <refpurpose> ヤコビの完全楕円積分</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>呼び出し手順</title>
-    <synopsis>[K]=%k(m)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>パラメータ</title>
-    <variablelist>
-      <varlistentry>
-        <term>m</term>
-        <listitem>
-          <para>
-            楕円積分のパラメータ <literal>0&lt;m&lt;1</literal>
-            (<literal>m</literal> はベクトルとすることができます)
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>K</term>
-        <listitem>
-          <para>
-            実軸上の 0 から 1までの楕円積分の値
-          </para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>説明</title>
-    <para>
-      ヤコビの第一種完全楕円積分を計算します :
-    </para>
-  </refsection>
-  <refsection>
-    <title>参考文献</title>
-    <para>
-      Abramowitz and Stegun page 598
-    </para>
-  </refsection>
-  <refsection>
-    <title>例</title>
-    <programlisting role="example"><![CDATA[ 
-m=0.4;
-%asn(1,m)
-%k(m)
- ]]></programlisting>
-  </refsection>
-  <refsection role="see also">
-    <title>参照</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/signal_processing/help/ja_JP/percentsn.xml b/scilab/modules/signal_processing/help/ja_JP/percentsn.xml
deleted file mode 100644 (file)
index 2588371..0000000
+++ /dev/null
@@ -1,80 +0,0 @@
-<?xml version="1.0" encoding="UTF-8"?>
-<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="percentsn">
-  <refnamediv>
-    <refname>%sn</refname>
-    <refpurpose>ヤコビ楕円関数</refpurpose>
-  </refnamediv>
-  <refsynopsisdiv>
-    <title>呼び出し手順</title>
-    <synopsis>[y]=%sn(x,m)</synopsis>
-  </refsynopsisdiv>
-  <refsection>
-    <title>パラメータ</title>
-    <variablelist>
-      <varlistentry>
-        <term>x</term>
-        <listitem>
-          <para>
-            楕円積分により定義される基本矩形の中の点;
-            <literal>x</literal> は複素数ベクトル
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>m</term>
-        <listitem>
-          <para>
-            楕円積分のパラメータ (<literal>0&lt;m&lt;1</literal>)
-          </para>
-        </listitem>
-      </varlistentry>
-      <varlistentry>
-        <term>y</term>
-        <listitem>
-          <para>結果</para>
-        </listitem>
-      </varlistentry>
-    </variablelist>
-  </refsection>
-  <refsection>
-    <title>説明</title>
-    <para>
-      パラメータ<literal>m</literal>を指定した
-      ヤコビの楕円関数:
-      パラメータ<literal>m</literal>の楕円積分の逆.
-    </para>
-    <para>
-      ゲインamはFortran形式で計算され,
-      楕円関数用の加算式が適用されます.
-    </para>
-  </refsection>
-  <refsection>
-    <title>例</title>
-    <programlisting role="example"><![CDATA[ 
-m=0.36;
-K=%k(m);
-P=4*K; //実周期
-real_val=0:(P/50):P;
-plot(real_val,real(%sn(real_val,m)))
-clf();
-KK=%k(1-m);
-Ip=2*KK;
-ima_val1=0:(Ip/50):KK-0.001;
-ima_val2=(KK+0.05):(Ip/25):(Ip+KK);
-z1=%sn(%i*ima_val1,m);z2=%sn(%i*ima_val2,m);
-plot2d([ima_val1',ima_val2'],[imag(z1)',imag(z2)']);
-xgrid(3)
- ]]></programlisting>
-  </refsection>
-  <refsection role="see also">
-    <title>参照</title>
-    <simplelist type="inline">
-      <member>
-        <link linkend="percentasn">%asn</link>
-      </member>
-      <member>
-        <link linkend="percentk">%k</link>
-      </member>
-    </simplelist>
-  </refsection>
-</refentry>
diff --git a/scilab/modules/special_functions/help/en_US/amell.xml b/scilab/modules/special_functions/help/en_US/amell.xml
new file mode 100644 (file)
index 0000000..2618030
--- /dev/null
@@ -0,0 +1,68 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA
+ * 
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at    
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="amell">
+    <refnamediv>
+        <refname>amell</refname>
+        <refpurpose> Jacobi's am function</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Calling Sequence</title>
+        <synopsis>[sn]=amell(u,k)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Arguments</title>
+        <variablelist>
+            <varlistentry>
+                <term>u</term>
+                <listitem>
+                    <para>real scalar or vector</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>k</term>
+                <listitem>
+                    <para>scalar</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>sn</term>
+                <listitem>
+                    <para>real scalar or vector</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Description</title>
+        <para>
+            Computes Jacobi's elliptic function <literal>am(u,k)</literal>
+            where <literal>k</literal> is the parameter and <literal>u</literal> is the argument. If <literal>u</literal> 
+            is a vector <literal>sn</literal> is the vector of the (element wise) computed values.
+            Used in function <literal>%sn</literal>.
+        </para>
+    </refsection>
+    <refsection role="see also">
+        <title>See Also</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="delip">delip</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/en_US/delip.xml b/scilab/modules/special_functions/help/en_US/delip.xml
new file mode 100644 (file)
index 0000000..10212e8
--- /dev/null
@@ -0,0 +1,149 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA
+ * 
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at    
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="en">
+    <refnamediv>
+        <refname>delip</refname>
+        <refpurpose>complete and incomplete elliptic integral of first
+            kind
+        </refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Calling Sequence</title>
+        <synopsis>[r]=delip(x,ck)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Arguments</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>real vector/matrix with nonnegative elements</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>ck</term>
+                <listitem>
+                    <para>real number between -1 and 1</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>r</term>
+                <listitem>
+                    <para>real or complex number (or vector/matrix) with the same size as
+                        <literal>x</literal>
+                    </para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Description</title>
+        <para>The elliptic integral of the first kind with parameter
+            <literal>ck</literal> is defined as follow:
+        </para>
+        <para>
+            <inlinemediaobject>
+                <imageobject>
+                    <imagedata align="center">
+                        <mml:math>
+                            <mml:semantics>
+                                <mml:mrow>
+                                    <mml:munderover>
+                                        <mml:mo mml:stretchy="false">∫</mml:mo>
+                                        <mml:mn>0</mml:mn>
+                                        <mml:mi>x</mml:mi>
+                                    </mml:munderover>
+                                    <mml:mfrac>
+                                        <mml:mi mml:fontstyle="italic">dt</mml:mi>
+                                        <mml:msqrt>
+                                            <mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mn>1</mml:mn>
+                                                        <mml:mo mml:stretchy="false">−</mml:mo>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mrow>
+                                                            <mml:mn>1</mml:mn>
+                                                            <mml:mo mml:stretchy="false">−</mml:mo>
+                                                            <mml:msubsup>
+                                                                <mml:mi>c</mml:mi>
+                                                                <mml:mi>k</mml:mi>
+                                                                <mml:mn>2</mml:mn>
+                                                            </mml:msubsup>
+                                                        </mml:mrow>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                            </mml:mrow>
+                                        </mml:msqrt>
+                                    </mml:mfrac>
+                                </mml:mrow>
+                                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
+                                    (1-t^2)(1-c_k^2 t^2)}}
+                                </mml:annotation>
+                            </mml:semantics>
+                        </mml:math>
+                    </imagedata>
+                </imageobject>
+            </inlinemediaobject>
+        </para>
+        <para>
+            Where <literal>x</literal> is real and positive,
+            <literal>ck</literal> is in <literal>[-1 1]</literal>.
+        </para>
+        <para>
+            If <literal>x</literal>  is less than 1 the result is real.
+        </para>
+        <para>
+            When called with <literal>x</literal> a vector/matrix <literal>r</literal>
+            is evaluated for each entry of <literal>x</literal>.
+        </para>
+    </refsection>
+    <refsection>
+        <title>Examples</title>
+        <programlisting role="example"><![CDATA[ 
+ck=0.5;
+delip([1,2],ck)
+deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
+intg(0,1,f)    //OK since real solution!
+ ]]></programlisting>
+    </refsection>
+    <refsection role="see also">
+        <title>See Also</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="amell">amell</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/en_US/findm.xml b/scilab/modules/special_functions/help/en_US/findm.xml
new file mode 100644 (file)
index 0000000..918018a
--- /dev/null
@@ -0,0 +1,26 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="findm">
+    <refnamediv>
+        <refname>findm</refname>
+        <refpurpose> for elliptic filter design</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Calling Sequence</title>
+        <synopsis>[m]=findm(chi)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Description</title>
+        <para>
+            Search for <literal>m</literal> such that <literal>chi = %k(1-m)/%k(m)</literal>
+            (For use with <literal>find_freq</literal>).
+        </para>
+    </refsection>
+    <refsection role="see also">
+        <title>See Also</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="percentk">%k</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/en_US/percentasn.xml b/scilab/modules/special_functions/help/en_US/percentasn.xml
new file mode 100644 (file)
index 0000000..3a4cfa6
--- /dev/null
@@ -0,0 +1,62 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="percentasn">
+    <refnamediv>
+        <refname>%asn</refname>
+        <refpurpose> elliptic integral</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Calling Sequence</title>
+        <synopsis>[y]=%asn(x,m)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Arguments</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>
+                        upper limit of integral (<literal>x&gt;0</literal>) (can be a vector)
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>m</term>
+                <listitem>
+                    <para>
+                        parameter of integral (<literal>0&lt;m&lt;1</literal>)
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>y</term>
+                <listitem>
+                    <para>value of the integral</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Description</title>
+        <para>
+            Calculates the elliptic integral
+        </para>
+        <para>
+            If <literal>x</literal> is a vector, <literal>y</literal> is a vector of same dimension as <literal>x</literal>.
+        </para>
+    </refsection>
+    <refsection>
+        <title>Examples</title>
+        <programlisting role="example"><![CDATA[ 
+m=0.8;z=%asn(1/sqrt(m),m);K=real(z);Ktilde=imag(z);
+x2max=1/sqrt(m);
+x1=0:0.05:1;x2=1:((x2max-1)/20):x2max;x3=x2max:0.05:10;
+x=[x1,x2,x3];
+y=%asn(x,m);
+rect=[0,-Ktilde,1.1*K,2*Ktilde];
+plot2d(real(y)',imag(y)',1,'011',' ',rect)
+
+deff('y=f(t)','y=1/sqrt((1-t^2)*(1-m*t^2))');
+intg(0,0.9,f)-%asn(0.9,m)  //Works for real case only!
+ ]]></programlisting>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/en_US/percentk.xml b/scilab/modules/special_functions/help/en_US/percentk.xml
new file mode 100644 (file)
index 0000000..98f190f
--- /dev/null
@@ -0,0 +1,59 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="percentk">
+    <refnamediv>
+        <refname>%k</refname>
+        <refpurpose> Jacobi's complete elliptic integral</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Calling Sequence</title>
+        <synopsis>[K]=%k(m)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Arguments</title>
+        <variablelist>
+            <varlistentry>
+                <term>m</term>
+                <listitem>
+                    <para>
+                        parameter of the elliptic integral <literal>0&lt;m&lt;1</literal> (<literal>m</literal> can be a vector)
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>K</term>
+                <listitem>
+                    <para>value of the elliptic integral from 0 to 1 on the real axis</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Description</title>
+        <para>
+            Calculates Jacobi's complete elliptic integral
+            of the first kind :
+        </para>
+    </refsection>
+    <refsection>
+        <title>References</title>
+        <para>
+            Abramowitz and Stegun page 598
+        </para>
+    </refsection>
+    <refsection>
+        <title>Examples</title>
+        <programlisting role="example"><![CDATA[ 
+m=0.4;
+%asn(1,m)
+%k(m)
+ ]]></programlisting>
+    </refsection>
+    <refsection role="see also">
+        <title>See Also</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/en_US/percentsn.xml b/scilab/modules/special_functions/help/en_US/percentsn.xml
new file mode 100644 (file)
index 0000000..36f22d1
--- /dev/null
@@ -0,0 +1,78 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="en" xml:id="percentsn">
+    <refnamediv>
+        <refname>%sn</refname>
+        <refpurpose> Jacobi 's elliptic function</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Calling Sequence</title>
+        <synopsis>[y]=%sn(x,m)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Arguments</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>
+                        a point inside the fundamental rectangle  defined by the elliptic integral; <literal>x</literal> is a vector of complex numbers
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>m</term>
+                <listitem>
+                    <para>
+                        parameter of the elliptic integral (<literal>0&lt;m&lt;1</literal>)
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>y</term>
+                <listitem>
+                    <para>result</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Description</title>
+        <para>
+            Jacobi 's sn elliptic function with parameter <literal>m</literal>: the inverse 
+            of the elliptic integral for the parameter <literal>m</literal>.
+        </para>
+        <para>
+            The amplitude am is computed in fortran and 
+            the addition formulas for elliptic functions are applied
+        </para>
+    </refsection>
+    <refsection>
+        <title>Examples</title>
+        <programlisting role="example"><![CDATA[ 
+m=0.36;
+K=%k(m);
+P=4*K; //Real period
+real_val=0:(P/50):P;
+plot(real_val,real(%sn(real_val,m)))
+clf();
+KK=%k(1-m);
+Ip=2*KK;
+ima_val1=0:(Ip/50):KK-0.001;
+ima_val2=(KK+0.05):(Ip/25):(Ip+KK);
+z1=%sn(%i*ima_val1,m);z2=%sn(%i*ima_val2,m);
+plot2d([ima_val1',ima_val2'],[imag(z1)',imag(z2)']);
+xgrid(3)
+ ]]></programlisting>
+    </refsection>
+    <refsection role="see also">
+        <title>See Also</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+            <member>
+                <link linkend="percentk">%k</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/fr_FR/amell.xml b/scilab/modules/special_functions/help/fr_FR/amell.xml
new file mode 100644 (file)
index 0000000..2b8c714
--- /dev/null
@@ -0,0 +1,60 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="fr" xml:id="amell">
+    <refnamediv>
+        <refname>amell</refname>
+        <refpurpose> Fonction am de Jacobi  </refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Séquence d'appel</title>
+        <synopsis>[sn]=amell(u,k)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Paramètres</title>
+        <variablelist>
+            <varlistentry>
+                <term>u  </term>
+                <listitem>
+                    <para>scalaire ou vecteur réel
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>k  </term>
+                <listitem>
+                    <para>scalaire
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>sn  </term>
+                <listitem>
+                    <para>scalaire ou vecteur réel
+                    </para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Description</title>
+        <para>
+            Calcule la fonction elliptique de Jacobi <literal>am(u,k)</literal>
+            où <literal>k</literal> est le paramètre et <literal>u</literal> l'argument. Si <literal>u</literal> 
+            est un vecteur <literal>sn</literal> est le vecteur des valeurs calculées (élément par élément).
+            Utilisé dans la fonction <literal>%sn</literal>.
+        </para>
+    </refsection>
+    <refsection role="see also">
+        <title>Voir aussi</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="delip">delip</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/fr_FR/delip.xml b/scilab/modules/special_functions/help/fr_FR/delip.xml
new file mode 100644 (file)
index 0000000..08efce7
--- /dev/null
@@ -0,0 +1,137 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="fr">
+    <refnamediv>
+        <refname>delip</refname>
+        <refpurpose>intégrale elliptique complete ou incomplete du premier
+            type
+        </refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Séquence d'appel</title>
+        <synopsis>[r]=delip(x,ck)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Paramètres</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>vecteur réel à éléments non négatifs</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>ck</term>
+                <listitem>
+                    <para>scalaire entre -1 et 1</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>r</term>
+                <listitem>
+                    <para>réel ou complexe (ou vecteur)</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Description</title>
+        <para>L'integrale élliptique du premier type pour le paramètre
+            <literal>ck</literal> est définie par:
+        </para>
+        <para>
+            <inlinemediaobject>
+                <imageobject>
+                    <imagedata>
+                        <mml:math>
+                            <mml:semantics>
+                                <mml:mrow>
+                                    <mml:munderover>
+                                        <mml:mo mml:stretchy="false">∫</mml:mo>
+                                        <mml:mn>0</mml:mn>
+                                        <mml:mi>x</mml:mi>
+                                    </mml:munderover>
+                                    <mml:mfrac>
+                                        <mml:mi mml:fontstyle="italic">dt</mml:mi>
+                                        <mml:msqrt>
+                                            <mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mn>1</mml:mn>
+                                                        <mml:mo mml:stretchy="false">−</mml:mo>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mrow>
+                                                            <mml:mn>1</mml:mn>
+                                                            <mml:mo mml:stretchy="false">−</mml:mo>
+                                                            <mml:msubsup>
+                                                                <mml:mi>c</mml:mi>
+                                                                <mml:mi>k</mml:mi>
+                                                                <mml:mn>2</mml:mn>
+                                                            </mml:msubsup>
+                                                        </mml:mrow>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                            </mml:mrow>
+                                        </mml:msqrt>
+                                    </mml:mfrac>
+                                </mml:mrow>
+                                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
+                                    (1-t^2)(1-c_k^2 t^2)}}
+                                </mml:annotation>
+                            </mml:semantics>
+                        </mml:math>
+                    </imagedata>
+                </imageobject>
+            </inlinemediaobject>
+        </para>
+        <para>
+            Où <literal>x</literal> est réel et positif,<literal>ck</literal>
+            est dans l'intervalle <literal>[-1 1]</literal>.
+        </para>
+        <para>
+            Si <literal>x</literal> est plus petit ou égal a 1 le resultat est
+            réel
+        </para>
+        <para>
+            Quand <literal>x</literal> est un vecteur <literal>r</literal> est
+            évalué pour chaque composante de <literal>x</literal>.
+        </para>
+    </refsection>
+    <refsection>
+        <title>Exemples</title>
+        <programlisting role="example"><![CDATA[ 
+ck=0.5;
+delip([1,2],ck)
+deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
+intg(0,1,f)    // OK puisque la solution est réelle !
+ ]]></programlisting>
+    </refsection>
+    <refsection role="see also">
+        <title>Voir aussi</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="amell">amell</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/ja_JP/amell.xml b/scilab/modules/special_functions/help/ja_JP/amell.xml
new file mode 100644 (file)
index 0000000..f9b9d5f
--- /dev/null
@@ -0,0 +1,69 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA
+ * 
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at    
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="amell">
+    <refnamediv>
+        <refname>amell</refname>
+        <refpurpose>ヤコビのam関数</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>呼び出し手順</title>
+        <synopsis>[sn]=amell(u,k)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>パラメータ</title>
+        <variablelist>
+            <varlistentry>
+                <term>u</term>
+                <listitem>
+                    <para>実数スカラーまたはベクトル</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>k</term>
+                <listitem>
+                    <para>スカラー</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>sn</term>
+                <listitem>
+                    <para>実数スカラーまたはベクトル</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>説明</title>
+        <para>
+            ヤコビの楕円関数 <literal>am(u,k)</literal>を計算します.
+            ただし, 
+            <literal>k</literal> はパラメータ, <literal>u</literal> は引数です. <literal>u</literal> 
+            はベクトル, <literal>sn</literal> は(要素毎の)計算値のベクトルです.
+            関数<literal>%sn</literal>で使用されます.
+        </para>
+    </refsection>
+    <refsection role="see also">
+        <title>参照</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="delip">delip</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/ja_JP/delip.xml b/scilab/modules/special_functions/help/ja_JP/delip.xml
new file mode 100644 (file)
index 0000000..2e421e1
--- /dev/null
@@ -0,0 +1,150 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA
+ * 
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at    
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="ja">
+    <refnamediv>
+        <refname>delip</refname>
+        <refpurpose>
+            第一種の完全および不完全楕円積分
+        </refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>呼び出し手順</title>
+        <synopsis>[r]=delip(x,ck)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>パラメータ</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>非負の要素を有する実数ベクトル</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>ck</term>
+                <listitem>
+                    <para>-1 と 1の間の実数</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>r</term>
+                <listitem>
+                    <para>
+                        <literal>x</literal>と同じ大きさの
+                        実数または複素数(またはベクトル)
+                    </para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>説明</title>
+        <para>
+            引数<literal>ck</literal>の
+            第一種の楕円積分は以下のように定義されます:
+        </para>
+        <para>
+            <inlinemediaobject>
+                <imageobject>
+                    <imagedata align="center">
+                        <mml:math>
+                            <mml:semantics>
+                                <mml:mrow>
+                                    <mml:munderover>
+                                        <mml:mo mml:stretchy="false">∫</mml:mo>
+                                        <mml:mn>0</mml:mn>
+                                        <mml:mi>x</mml:mi>
+                                    </mml:munderover>
+                                    <mml:mfrac>
+                                        <mml:mi mml:fontstyle="italic">dt</mml:mi>
+                                        <mml:msqrt>
+                                            <mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mn>1</mml:mn>
+                                                        <mml:mo mml:stretchy="false">−</mml:mo>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mrow>
+                                                            <mml:mn>1</mml:mn>
+                                                            <mml:mo mml:stretchy="false">−</mml:mo>
+                                                            <mml:msubsup>
+                                                                <mml:mi>c</mml:mi>
+                                                                <mml:mi>k</mml:mi>
+                                                                <mml:mn>2</mml:mn>
+                                                            </mml:msubsup>
+                                                        </mml:mrow>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                            </mml:mrow>
+                                        </mml:msqrt>
+                                    </mml:mfrac>
+                                </mml:mrow>
+                                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
+                                    (1-t^2)(1-c_k^2 t^2)}}
+                                </mml:annotation>
+                            </mml:semantics>
+                        </mml:math>
+                    </imagedata>
+                </imageobject>
+            </inlinemediaobject>
+        </para>
+        <para>
+            ただし, <literal>x</literal> は実数および正で,
+            <literal>ck</literal> は <literal>[-1 1]</literal>の範囲となります.
+        </para>
+        <para>x が1より小さい場合,結果は実数となります.</para>
+        <para>
+            <literal>x</literal>を指定して
+            コールされた場合,<literal>x</literal>の各エントリについて
+            ベクトル<literal>r</literal>が評価されます.
+        </para>
+    </refsection>
+    <refsection>
+        <title>例</title>
+        <programlisting role="example"><![CDATA[ 
+ck=0.5;
+delip([1,2],ck)
+deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
+intg(0,1,f)    //OK since real solution!
+ ]]></programlisting>
+    </refsection>
+    <refsection role="see also">
+        <title>参照</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="amell">amell</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/ja_JP/findm.xml b/scilab/modules/special_functions/help/ja_JP/findm.xml
new file mode 100644 (file)
index 0000000..aac76bd
--- /dev/null
@@ -0,0 +1,27 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="findm">
+    <refnamediv>
+        <refname>findm</refname>
+        <refpurpose>楕円フィルタ設計用</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>呼び出し手順</title>
+        <synopsis>[m]=findm(chi)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>説明</title>
+        <para>
+            <literal>chi = %k(1-m)/%k(m)</literal>となるような<literal>m</literal>を
+            探索します
+            (<literal>find_freq</literal>で使用されます).
+        </para>
+    </refsection>
+    <refsection role="see also">
+        <title>参照</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="percentk">%k</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/ja_JP/percentasn.xml b/scilab/modules/special_functions/help/ja_JP/percentasn.xml
new file mode 100644 (file)
index 0000000..40a3f05
--- /dev/null
@@ -0,0 +1,63 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="percentasn">
+    <refnamediv>
+        <refname>%asn</refname>
+        <refpurpose>楕円積分 l</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>呼び出し手順</title>
+        <synopsis>[y]=%asn(x,m)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>パラメータ</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>
+                        積分の上限 (<literal>x&gt;0</literal>) (ベクトルにすることが可能)
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>m</term>
+                <listitem>
+                    <para>
+                        積分のパラメータ (<literal>0&lt;m&lt;1</literal>)
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>y</term>
+                <listitem>
+                    <para>積分値</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>説明</title>
+        <para>
+            楕円積分を計算します.
+        </para>
+        <para>
+            <literal>x</literal>がベクトルの場合, <literal>y</literal> は
+            <literal>x</literal>と同じ次元のベクトルとなります.
+        </para>
+    </refsection>
+    <refsection>
+        <title>例</title>
+        <programlisting role="example"><![CDATA[ 
+m=0.8;z=%asn(1/sqrt(m),m);K=real(z);Ktilde=imag(z);
+x2max=1/sqrt(m);
+x1=0:0.05:1;x2=1:((x2max-1)/20):x2max;x3=x2max:0.05:10;
+x=[x1,x2,x3];
+y=%asn(x,m);
+rect=[0,-Ktilde,1.1*K,2*Ktilde];
+plot2d(real(y)',imag(y)',1,'011',' ',rect)
+
+deff('y=f(t)','y=1/sqrt((1-t^2)*(1-m*t^2))');
+intg(0,0.9,f)-%asn(0.9,m)  //実数の場合のみ動作します!
+ ]]></programlisting>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/ja_JP/percentk.xml b/scilab/modules/special_functions/help/ja_JP/percentk.xml
new file mode 100644 (file)
index 0000000..dcacfcd
--- /dev/null
@@ -0,0 +1,61 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="percentk">
+    <refnamediv>
+        <refname>%k</refname>
+        <refpurpose> ヤコビの完全楕円積分</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>呼び出し手順</title>
+        <synopsis>[K]=%k(m)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>パラメータ</title>
+        <variablelist>
+            <varlistentry>
+                <term>m</term>
+                <listitem>
+                    <para>
+                        楕円積分のパラメータ <literal>0&lt;m&lt;1</literal>
+                        (<literal>m</literal> はベクトルとすることができます)
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>K</term>
+                <listitem>
+                    <para>
+                        実軸上の 0 から 1までの楕円積分の値
+                    </para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>説明</title>
+        <para>
+            ヤコビの第一種完全楕円積分を計算します :
+        </para>
+    </refsection>
+    <refsection>
+        <title>参考文献</title>
+        <para>
+            Abramowitz and Stegun page 598
+        </para>
+    </refsection>
+    <refsection>
+        <title>例</title>
+        <programlisting role="example"><![CDATA[ 
+m=0.4;
+%asn(1,m)
+%k(m)
+ ]]></programlisting>
+    </refsection>
+    <refsection role="see also">
+        <title>参照</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/ja_JP/percentsn.xml b/scilab/modules/special_functions/help/ja_JP/percentsn.xml
new file mode 100644 (file)
index 0000000..d6ba7d6
--- /dev/null
@@ -0,0 +1,80 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ja" xml:id="percentsn">
+    <refnamediv>
+        <refname>%sn</refname>
+        <refpurpose>ヤコビ楕円関数</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>呼び出し手順</title>
+        <synopsis>[y]=%sn(x,m)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>パラメータ</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>
+                        楕円積分により定義される基本矩形の中の点;
+                        <literal>x</literal> は複素数ベクトル
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>m</term>
+                <listitem>
+                    <para>
+                        楕円積分のパラメータ (<literal>0&lt;m&lt;1</literal>)
+                    </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>y</term>
+                <listitem>
+                    <para>結果</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>説明</title>
+        <para>
+            パラメータ<literal>m</literal>を指定した
+            ヤコビの楕円関数:
+            パラメータ<literal>m</literal>の楕円積分の逆.
+        </para>
+        <para>
+            ゲインamはFortran形式で計算され,
+            楕円関数用の加算式が適用されます.
+        </para>
+    </refsection>
+    <refsection>
+        <title>例</title>
+        <programlisting role="example"><![CDATA[ 
+m=0.36;
+K=%k(m);
+P=4*K; //実周期
+real_val=0:(P/50):P;
+plot(real_val,real(%sn(real_val,m)))
+clf();
+KK=%k(1-m);
+Ip=2*KK;
+ima_val1=0:(Ip/50):KK-0.001;
+ima_val2=(KK+0.05):(Ip/25):(Ip+KK);
+z1=%sn(%i*ima_val1,m);z2=%sn(%i*ima_val2,m);
+plot2d([ima_val1',ima_val2'],[imag(z1)',imag(z2)']);
+xgrid(3)
+ ]]></programlisting>
+    </refsection>
+    <refsection role="see also">
+        <title>参照</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+            <member>
+                <link linkend="percentk">%k</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/pt_BR/amell.xml b/scilab/modules/special_functions/help/pt_BR/amell.xml
new file mode 100644 (file)
index 0000000..4b8ec8b
--- /dev/null
@@ -0,0 +1,69 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA
+ * 
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at    
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="amell" xml:lang="en">
+    <refnamediv>
+        <refname>amell</refname>
+        <refpurpose>função "am" de Jacobi</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Seqüência de Chamamento</title>
+        <synopsis>[sn]=amell(u,k)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Parâmetros</title>
+        <variablelist>
+            <varlistentry>
+                <term>u</term>
+                <listitem>
+                    <para>escalar real ou vetor de reais </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>k</term>
+                <listitem>
+                    <para>escalar </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>sn</term>
+                <listitem>
+                    <para>escalar real ou vetor de reais</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Descrição</title>
+        <para>
+            Computa a função elíptica de Jacobi <literal>am(u,k)</literal> onde
+            <literal>k</literal> é o parâmetro e <literal>u</literal> é o argumento.
+            Se <literal>u</literal> é um vetor <literal>sn</literal> é o vetor dos
+            valores computados (elemento a elemento) . Usado na função
+            <literal>%sn</literal>.
+        </para>
+    </refsection>
+    <refsection role="see also">
+        <title>Ver Também</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="delip">delip</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/pt_BR/delip.xml b/scilab/modules/special_functions/help/pt_BR/delip.xml
new file mode 100644 (file)
index 0000000..f383dff
--- /dev/null
@@ -0,0 +1,146 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA
+ * 
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at    
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="en">
+    <refnamediv>
+        <refname>delip</refname>
+        <refpurpose>Integral elíptica</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Seqüência de Chamamento</title>
+        <synopsis>[r]=delip(x,ck)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Parâmetros</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>vetor real com elementos não-negativos</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>ck</term>
+                <listitem>
+                    <para>número real entre -1 e 1 </para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>r</term>
+                <listitem>
+                    <para>número real ou complexo ou vetor de reais ou complexos com
+                        mesmo tamanho que <literal>x</literal>
+                    </para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Descrição</title>
+        <para>A integral elíptica de primeira espécie com parâmetro
+            <literal>ck</literal> definido como segue:
+        </para>
+        <para>
+            <inlinemediaobject>
+                <imageobject>
+                    <imagedata>
+                        <mml:math>
+                            <mml:semantics>
+                                <mml:mrow>
+                                    <mml:munderover>
+                                        <mml:mo mml:stretchy="false">∫</mml:mo>
+                                        <mml:mn>0</mml:mn>
+                                        <mml:mi>x</mml:mi>
+                                    </mml:munderover>
+                                    <mml:mfrac>
+                                        <mml:mi mml:fontstyle="italic">dt</mml:mi>
+                                        <mml:msqrt>
+                                            <mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mn>1</mml:mn>
+                                                        <mml:mo mml:stretchy="false">−</mml:mo>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mrow>
+                                                            <mml:mn>1</mml:mn>
+                                                            <mml:mo mml:stretchy="false">−</mml:mo>
+                                                            <mml:msubsup>
+                                                                <mml:mi>c</mml:mi>
+                                                                <mml:mi>k</mml:mi>
+                                                                <mml:mn>2</mml:mn>
+                                                            </mml:msubsup>
+                                                        </mml:mrow>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                            </mml:mrow>
+                                        </mml:msqrt>
+                                    </mml:mfrac>
+                                </mml:mrow>
+                                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
+                                    (1-t^2)(1-c_k^2 t^2)}}
+                                </mml:annotation>
+                            </mml:semantics>
+                        </mml:math>
+                    </imagedata>
+                </imageobject>
+            </inlinemediaobject>
+        </para>
+        <para>
+            Onde <literal>x</literal> é real e positivo e <literal>ck</literal>
+            está em <literal>[-1 1]</literal>.
+        </para>
+        <para>Se x é menor do que ou igual a 1, o resultado é real.</para>
+        <para>
+            Quando chamado com <literal>x</literal>, um vetor real
+            <literal>r</literal> é avaliado para cada entrada de
+            <literal>x</literal>.
+        </para>
+    </refsection>
+    <refsection>
+        <title>Exemplos</title>
+        <programlisting role="example"><![CDATA[ 
+ck=0.5;
+delip([1,2],ck)
+deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
+intg(0,1,f)    //OK, desde que a solução seja real!
+ ]]></programlisting>
+    </refsection>
+    <refsection>
+        <title>Ver Também</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="amell">amell</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/ru_RU/amell.xml b/scilab/modules/special_functions/help/ru_RU/amell.xml
new file mode 100644 (file)
index 0000000..9864753
--- /dev/null
@@ -0,0 +1,68 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA
+ * 
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at    
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:lang="ru" xml:id="amell">
+    <refnamediv>
+        <refname>amell</refname>
+        <refpurpose> Эллиптическая функция am Якоби</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Последовательность вызова</title>
+        <synopsis>[sn]=amell(u,k)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Аргументы</title>
+        <variablelist>
+            <varlistentry>
+                <term>u</term>
+                <listitem>
+                    <para>вещественный скаляр или вектор</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>k</term>
+                <listitem>
+                    <para>скаляр</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>sn</term>
+                <listitem>
+                    <para>вещественный скаляр или вектор</para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Описание</title>
+        <para>
+            Вычисляет эллиптическую функцию <literal>am(u,k)</literal> Якоби, где
+            <literal>k</literal> - параметр, а <literal>u</literal> - аргумент. Если 
+            <literal>u</literal> является вектором, то <literal>sn</literal> является вектором 
+            вычисленных (поэлементно) значений. Используется в функции <literal>%sn</literal>.
+        </para>
+    </refsection>
+    <refsection role="see also">
+        <title>Смотрите также</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="delip">delip</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>
diff --git a/scilab/modules/special_functions/help/ru_RU/delip.xml b/scilab/modules/special_functions/help/ru_RU/delip.xml
new file mode 100644 (file)
index 0000000..deb78d0
--- /dev/null
@@ -0,0 +1,149 @@
+<?xml version="1.0" encoding="UTF-8"?>
+<!--
+ * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
+ * Copyright (C) 2008 - INRIA
+ * 
+ * This file must be used under the terms of the CeCILL.
+ * This source file is licensed as described in the file COPYING, which
+ * you should have received as part of this distribution.  The terms
+ * are also available at    
+ * http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
+ *
+ -->
+<refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:ns3="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" version="5.0-subset Scilab" xml:id="delip" xml:lang="ru">
+    <refnamediv>
+        <refname>delip</refname>
+        <refpurpose>полный и неполный эллиптический интеграл первого рода</refpurpose>
+    </refnamediv>
+    <refsynopsisdiv>
+        <title>Последовательность вызова</title>
+        <synopsis>[r]=delip(x,ck)</synopsis>
+    </refsynopsisdiv>
+    <refsection>
+        <title>Аргументы</title>
+        <variablelist>
+            <varlistentry>
+                <term>x</term>
+                <listitem>
+                    <para>вещественный вектор/матрица с неотрицательными элементами real vector with non negative elements</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>ck</term>
+                <listitem>
+                    <para>вещественное число между -1 и 1</para>
+                </listitem>
+            </varlistentry>
+            <varlistentry>
+                <term>r</term>
+                <listitem>
+                    <para>
+                        вещественное или комплексное число (или вектор/матрица) того же
+                        размера, что и <literal>x</literal>
+                    </para>
+                </listitem>
+            </varlistentry>
+        </variablelist>
+    </refsection>
+    <refsection>
+        <title>Описание</title>
+        <para>
+            Эллиптический интеграл первого рода с параметром <literal>ck</literal> 
+            определяется как:
+        </para>
+        <para>
+            <inlinemediaobject>
+                <imageobject>
+                    <imagedata align="center">
+                        <mml:math>
+                            <mml:semantics>
+                                <mml:mrow>
+                                    <mml:munderover>
+                                        <mml:mo mml:stretchy="false">∫</mml:mo>
+                                        <mml:mn>0</mml:mn>
+                                        <mml:mi>x</mml:mi>
+                                    </mml:munderover>
+                                    <mml:mfrac>
+                                        <mml:mi mml:fontstyle="italic">dt</mml:mi>
+                                        <mml:msqrt>
+                                            <mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mn>1</mml:mn>
+                                                        <mml:mo mml:stretchy="false">−</mml:mo>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                                <mml:mrow>
+                                                    <mml:mo mml:stretchy="false">(</mml:mo>
+                                                    <mml:mrow>
+                                                        <mml:mrow>
+                                                            <mml:mn>1</mml:mn>
+                                                            <mml:mo mml:stretchy="false">−</mml:mo>
+                                                            <mml:msubsup>
+                                                                <mml:mi>c</mml:mi>
+                                                                <mml:mi>k</mml:mi>
+                                                                <mml:mn>2</mml:mn>
+                                                            </mml:msubsup>
+                                                        </mml:mrow>
+                                                        <mml:msup>
+                                                            <mml:mi>t</mml:mi>
+                                                            <mml:mn>2</mml:mn>
+                                                        </mml:msup>
+                                                    </mml:mrow>
+                                                    <mml:mo mml:stretchy="false">)</mml:mo>
+                                                </mml:mrow>
+                                            </mml:mrow>
+                                        </mml:msqrt>
+                                    </mml:mfrac>
+                                </mml:mrow>
+                                <mml:annotation mml:encoding="StarMath 5.0">int from{0} to{x} {{dt} over sqrt{
+                                    (1-t^2)(1-c_k^2 t^2)}}
+                                </mml:annotation>
+                            </mml:semantics>
+                        </mml:math>
+                    </imagedata>
+                </imageobject>
+            </inlinemediaobject>
+        </para>
+        <para>
+            Где <literal>x</literal> - вещественное положительное число,
+            <literal>ck</literal> - лежит на интервале <literal>[-1 1]</literal>.
+        </para>
+        <para>
+            Если <literal>x</literal> меньше 1, то результат вещественный.
+        </para>
+        <para>
+            Вектор/матрица <literal>r</literal>
+            вычисляется для каждого элемента <literal>x</literal>.
+        </para>
+    </refsection>
+    <refsection>
+        <title>Примеры</title>
+        <programlisting role="example"><![CDATA[ 
+ck=0.5;
+delip([1,2],ck)
+deff('y=f(t)','y=1/sqrt((1-t^2)*(1-ck^2*t^2))')
+intg(0,1,f)    //OK так как решение вещественное!
+ ]]></programlisting>
+    </refsection>
+    <refsection role="see also">
+        <title>Смотрите также</title>
+        <simplelist type="inline">
+            <member>
+                <link linkend="amell">amell</link>
+            </member>
+            <member>
+                <link linkend="percentasn">%asn</link>
+            </member>
+            <member>
+                <link linkend="percentsn">%sn</link>
+            </member>
+        </simplelist>
+    </refsection>
+</refentry>