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<?xml-stylesheet type="text/xsl" href="mathml.xsl"?><html xmlns="http://www.w3.org/1999/xhtml" xmlns:pref="http://www.w3.org/2002/Math/preference" pref:renderer="mathplayer-dl"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>glRotate</title><meta name="generator" content="DocBook XSL Stylesheets V1.78.1" /></head><body><div class="refentry"><a id="glRotate"></a><div class="titlepage"></div><div class="refnamediv"><h2>Name</h2><p>glRotate — multiply the current matrix by a rotation matrix</p></div><div class="refsynopsisdiv"><h2>C Specification</h2><div class="funcsynopsis"><table border="0" class="funcprototype-table" summary="Function synopsis" style="cellspacing: 0; cellpadding: 0;"><tr><td><code class="funcdef">void <strong class="fsfunc">glRotatef</strong>(</code></td><td>GLfloat <var class="pdparam">angle</var>, </td></tr><tr><td> </td><td>GLfloat <var class="pdparam">x</var>, </td></tr><tr><td> </td><td>GLfloat <var class="pdparam">y</var>, </td></tr><tr><td> </td><td>GLfloat <var class="pdparam">z</var><code>)</code>;</td></tr></table><div class="funcprototype-spacer"> </div><table border="0" class="funcprototype-table" summary="Function synopsis" style="cellspacing: 0; cellpadding: 0;"><tr><td><code class="funcdef">void <strong class="fsfunc">glRotatex</strong>(</code></td><td>GLfixed <var class="pdparam">angle</var>, </td></tr><tr><td> </td><td>GLfixed <var class="pdparam">x</var>, </td></tr><tr><td> </td><td>GLfixed <var class="pdparam">y</var>, </td></tr><tr><td> </td><td>GLfixed <var class="pdparam">z</var><code>)</code>;</td></tr></table><div class="funcprototype-spacer"> </div></div></div><div class="refsect1"><a id="parameters"></a><h2>Parameters</h2><div class="variablelist"><dl class="variablelist"><dt><span class="term">
		    <em class="parameter"><code>angle</code></em>
		</span></dt><dd><p>Specifies the angle of rotation, in degrees.</p></dd><dt><span class="term">
		<em class="parameter"><code>x</code></em>,
		<em class="parameter"><code>y</code></em>,
		<em class="parameter"><code>z</code></em>
		</span></dt><dd><p>Specify the
		    <em class="parameter"><code>x</code></em>,
		    <em class="parameter"><code>y</code></em>, and
		    <em class="parameter"><code>z</code></em>
		    coordinates of a vector, respectively.</p></dd></dl></div></div><div class="refsect1"><a id="description"></a><h2>Description</h2><p><code class="function">glRotate</code> produces a rotation of
	<em class="parameter"><code>angle</code></em> degrees around the vector
	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
	    <mml:mfenced><mml:mi>x</mml:mi><mml:mi>y</mml:mi><mml:mi>z</mml:mi></mml:mfenced>
	</mml:math>.
	The current matrix (see
	<a class="citerefentry" href="glMatrixMode.xml"><span class="citerefentry"><span class="refentrytitle">glMatrixMode</span></span></a>)
	is multiplied by a rotation matrix with the product replacing
	the current matrix, as if
	<a class="citerefentry" href="glMultMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glMultMatrix</span></span></a>
	were called with the following matrix as its argument:</p><div class="informalequation"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
	    <mml:mrow>
		<mml:mo>(</mml:mo>
		<mml:mtable class="matrix">
		    <mml:mtr>
			<mml:mtd>
			    <mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>+</mml:mo><mml:mi>c</mml:mi>
			</mml:mtd>
			<mml:mtd>
			    <mml:mi>x</mml:mi><mml:mn>y</mml:mn>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>-</mml:mo><mml:mi>z</mml:mi><mml:mi>s</mml:mi>
			</mml:mtd>
			<mml:mtd>
			    <mml:mi>x</mml:mi><mml:mn>z</mml:mn>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>+</mml:mo><mml:mi>y</mml:mi><mml:mi>s</mml:mi>
			</mml:mtd>
			<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
		    </mml:mtr>
		    <mml:mtr>
			<mml:mtd>
			    <mml:mi>x</mml:mi><mml:mn>y</mml:mn>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>+</mml:mo><mml:mi>z</mml:mi><mml:mi>s</mml:mi>
			</mml:mtd>
			<mml:mtd>
			    <mml:msup><mml:mi>y</mml:mi><mml:mn>2</mml:mn></mml:msup>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>+</mml:mo><mml:mi>c</mml:mi>
			</mml:mtd>
			<mml:mtd>
			    <mml:mi>y</mml:mi><mml:mn>z</mml:mn>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>-</mml:mo><mml:mi>x</mml:mi><mml:mi>s</mml:mi>
			</mml:mtd>
			<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
		    </mml:mtr>
		    <mml:mtr>
			<mml:mtd>
			    <mml:mi>x</mml:mi><mml:mn>z</mml:mn>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>-</mml:mo><mml:mi>y</mml:mi><mml:mi>s</mml:mi>
			</mml:mtd>
			<mml:mtd>
			    <mml:mi>y</mml:mi><mml:mn>z</mml:mn>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>+</mml:mo><mml:mi>x</mml:mi><mml:mi>s</mml:mi>
			</mml:mtd>
			<mml:mtd>
			    <mml:msup><mml:mi>z</mml:mi><mml:mn>2</mml:mn></mml:msup>
			    <mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
			    <mml:mo>+</mml:mo><mml:mi>c</mml:mi>
			</mml:mtd>
			<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
		    </mml:mtr>
		    <mml:mtr>
			<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
			<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
			<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
			<mml:mtd><mml:mn>1</mml:mn></mml:mtd>
		    </mml:mtr>
		</mml:mtable>
		<mml:mo>)</mml:mo>
	    </mml:mrow>
	</mml:math></div><p>Where
	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
	    <mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mo>cos</mml:mo><mml:mfenced><mml:mi>angle</mml:mi></mml:mfenced>
	</mml:math>,
	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
	    <mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mo>sin</mml:mo><mml:mfenced><mml:mi>angle</mml:mi></mml:mfenced>
	</mml:math>,
	and
	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
	    <mml:mo>||</mml:mo><mml:mfenced><mml:mi>x</mml:mi><mml:mi>y</mml:mi><mml:mi>z</mml:mi></mml:mfenced><mml:mo>||</mml:mo>
	    <mml:mo>=</mml:mo><mml:mn>1</mml:mn>
	</mml:math>,
	(if not, the GL will normalize this vector).</p><p>If the matrix mode is either <code class="constant">GL_MODELVIEW</code> or
	<code class="constant">GL_PROJECTION</code>, all objects drawn after
	<code class="function">glRotate</code> is called are rotated. Use
	<a class="citerefentry" href="glPushMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glPushMatrix</span></span></a>
	and
	<a class="citerefentry" href="glPopMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glPopMatrix</span></span></a>
	to save and restore the unrotated coordinate system.</p></div><div class="refsect1"><a id="notes"></a><h2>Notes</h2><p>This rotation follows the right-hand rule, so if the vector
	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
	    <mml:mfenced><mml:mi>x</mml:mi><mml:mi>y</mml:mi><mml:mi>z</mml:mi></mml:mfenced>
	</mml:math>
	points toward the user, the rotation will be counterclockwise.</p></div><div class="refsect1"><a id="associatedgets"></a><h2>Associated Gets</h2><p>
            <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_MATRIX_MODE</code>
        </p><p>
            <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_MODELVIEW_MATRIX</code>
        </p><p>
            <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_PROJECTION_MATRIX</code>
        </p><p>
            <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_TEXTURE_MATRIX</code>
        </p></div><div class="refsect1"><a id="seealso"></a><h2>See Also</h2><p>
	<a class="citerefentry" href="glMatrixMode.xml"><span class="citerefentry"><span class="refentrytitle">glMatrixMode</span></span></a>,
	<a class="citerefentry" href="glMultMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glMultMatrix</span></span></a>,
	<a class="citerefentry" href="glPushMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glPushMatrix</span></span></a>,
	<a class="citerefentry" href="glScale.xml"><span class="citerefentry"><span class="refentrytitle">glScale</span></span></a>,
	<a class="citerefentry" href="glTranslate.xml"><span class="citerefentry"><span class="refentrytitle">glTranslate</span></span></a>
	</p></div><div class="refsect1"><a id="copyright"></a><h2>Copyright</h2><p>
	    Copyright <span class="trademark"></span>© 2003-2004
	    Silicon Graphics, Inc. This document is licensed under the SGI
	    Free Software B License. For details, see
	    <a class="ulink" href="http://oss.sgi.com/projects/FreeB/" target="_top">http://oss.sgi.com/projects/FreeB/</a>.
	</p></div></div></body></html>