<?xml version="1.0" encoding="UTF-8"?>

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 * Copyright (C) 2012 - 2016 - Scilab Enterprises
 *
 * This file is hereby licensed under the terms of the GNU GPL v2.0,
 * pursuant to article 5.3.4 of the CeCILL v.2.1.
 * This file was originally licensed under the terms of the CeCILL v2.1,
 * and continues to be available under such terms.
 * For more information, see the COPYING file which you should have received
 * along with this program.

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<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" xmlns:scilab="http://www.scilab.org"  xml:lang="ja" xml:id="rotate">

    <refnamediv>

        <refname>rotate</refname>

        <refpurpose>点の集合を回転</refpurpose>

    </refnamediv>

    <refsynopsisdiv>

        <title>呼び出し手順</title>

        <synopsis>xy1=rotate(xy,[theta,orig])</synopsis>

    </refsynopsisdiv>

    <refsection>

        <title>引数</title>

        <variablelist>

            <varlistentry>

                <term>xy</term>

                <listitem>

                    <para>大きさ (2,.)の行列.</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>xy1</term>

                <listitem>

                    <para>大きさ (2,.)の行列.</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>theta</term>

                <listitem>

                    <para>実数, 角度(単位:ラジアン); デフォルト値は 0.</para>

                </listitem>

            </varlistentry>

            <varlistentry>

                <term>orig</term>

                <listitem>

                    <para>回転の中心 [xc;yc]; デフォルト値は [0;0].</para>

                </listitem>

            </varlistentry>

        </variablelist>

    </refsection>

    <refsection>

        <title>説明</title>

        <para>

            <literal>rotate</literal> は角度 <literal>theta</literal>を指定した

            回転を行います:

        </para>

        <para>

            <literal>xy1(:,i) = M(theta) *(xy(:,i) - orig) + orig</literal>

        </para>

        <para>

            ただし, <literal>M</literal> は対応する回転行列を意味します.

        </para>

    </refsection>

    <refsection>

        <title>例</title>

        <programlisting role="example"><![CDATA[

xsetech([0,0,1,1],[-1,-1,1,1])

xy=[(0:0.1:10);sin(0:0.1:10)]/10;

for i=2*%pi*(0:10)/10,

  [xy1]=rotate(xy,i);

  xpoly(xy1(1,:),xy1(2,:),"lines")

end

 ]]></programlisting>

        <scilab:image>

            xsetech([0,0,1,1],[-1,-1,1,1])

            xy=[(0:0.1:10);sin(0:0.1:10)]/10;

            for i=2*%pi*(0:10)/10,

            [xy1]=rotate(xy,i);

            xpoly(xy1(1,:),xy1(2,:),"lines")

            end

        </scilab:image>

    </refsection>

</refentry>

