mirror of
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419 lines
21 KiB
XML
419 lines
21 KiB
XML
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<?xml version="1.0" encoding="UTF-8"?>
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<!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook MathML Module V1.1b1//EN"
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"http://www.oasis-open.org/docbook/xml/mathml/1.1CR1/dbmathml.dtd">
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<refentry id="glRotate">
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<refmeta>
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<refmetainfo>
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<copyright>
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<year>1991-2006</year>
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<holder>Silicon Graphics, Inc.</holder>
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</copyright>
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</refmetainfo>
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<refentrytitle>glRotate</refentrytitle>
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<manvolnum>3G</manvolnum>
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</refmeta>
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<refnamediv>
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<refname>glRotate</refname>
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<refpurpose>multiply the current matrix by a rotation matrix</refpurpose>
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</refnamediv>
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<refsynopsisdiv><title>C Specification</title>
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<funcsynopsis>
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<funcprototype>
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<funcdef>void <function>glRotated</function></funcdef>
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<paramdef>GLdouble <parameter>angle</parameter></paramdef>
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<paramdef>GLdouble <parameter>x</parameter></paramdef>
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<paramdef>GLdouble <parameter>y</parameter></paramdef>
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<paramdef>GLdouble <parameter>z</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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<funcsynopsis>
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<funcprototype>
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<funcdef>void <function>glRotatef</function></funcdef>
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<paramdef>GLfloat <parameter>angle</parameter></paramdef>
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<paramdef>GLfloat <parameter>x</parameter></paramdef>
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<paramdef>GLfloat <parameter>y</parameter></paramdef>
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<paramdef>GLfloat <parameter>z</parameter></paramdef>
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</funcprototype>
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</funcsynopsis>
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</refsynopsisdiv>
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<!-- eqn: ignoring delim $$ -->
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<refsect1 id="parameters"><title>Parameters</title>
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<variablelist>
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<varlistentry>
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<term><parameter>angle</parameter></term>
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<listitem>
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<para>
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Specifies the angle of rotation, in degrees.
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</para>
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</listitem>
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</varlistentry>
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<varlistentry>
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<term><parameter>x</parameter></term>
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<term><parameter>y</parameter></term>
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<term><parameter>z</parameter></term>
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<listitem>
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<para>
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Specify the <emphasis>x</emphasis>, <emphasis>y</emphasis>, and <emphasis>z</emphasis> coordinates of a vector, respectively.
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</para>
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</listitem>
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</varlistentry>
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</variablelist>
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</refsect1>
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<refsect1 id="description"><title>Description</title>
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<para>
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<function>glRotate</function> produces a rotation of <parameter>angle</parameter> degrees around
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the vector
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<inlineequation><mml:math>
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<!-- eqn: (x, y, z):-->
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<mml:mfenced open="(" close=")">
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<mml:mi mathvariant="italic">x</mml:mi>
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<mml:mi mathvariant="italic">y</mml:mi>
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<mml:mi mathvariant="italic">z</mml:mi>
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</mml:mfenced>
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</mml:math></inlineequation>.
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The current matrix (see <citerefentry><refentrytitle>glMatrixMode</refentrytitle></citerefentry>) is multiplied by a rotation
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matrix with the product
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replacing the current matrix, as if <citerefentry><refentrytitle>glMultMatrix</refentrytitle></citerefentry> were called
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with the following matrix as its argument:
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</para>
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<para>
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<informalequation><mml:math>
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<!-- eqn: left ( matrix { ccol { x sup 2 (1 - c) + c above y x (1 - c) + z s above x z (1 - c) - y s above 0 } ccol { x y (1 - c) - z s above y sup 2 (1 - c) + c above y z (1 - c) + x s above 0 } ccol { x z (1 - c) + y s above y z (1 - c) - x s above z sup 2 (1 - c) + c above 0 } ccol { 0 above 0 above 0 above 1} } right ):-->
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<mml:mfenced open="(" close=")">
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<mml:mtable>
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<mml:mtr>
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<mml:mtd>
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<mml:mrow>
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<mml:mrow>
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<mml:msup><mml:mi mathvariant="italic">x</mml:mi>
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<mml:mn>2</mml:mn>
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</mml:msup>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mrow>
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<mml:mi mathvariant="italic">x</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mrow>
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<mml:mi mathvariant="italic">y</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">z</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mi mathvariant="italic">s</mml:mi>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mrow>
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<mml:mi mathvariant="italic">x</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mrow>
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<mml:mi mathvariant="italic">z</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">y</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mi mathvariant="italic">s</mml:mi>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mn>0</mml:mn>
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</mml:mtd>
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</mml:mtr>
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<mml:mtr>
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<mml:mtd>
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<mml:mrow>
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<mml:mi mathvariant="italic">y</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mrow>
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<mml:mi mathvariant="italic">x</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mrow>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">z</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mi mathvariant="italic">s</mml:mi>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mrow>
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<mml:mrow>
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<mml:msup><mml:mi mathvariant="italic">y</mml:mi>
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<mml:mn>2</mml:mn>
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</mml:msup>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mrow>
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<mml:mi mathvariant="italic">y</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mrow>
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<mml:mi mathvariant="italic">z</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">x</mml:mi>
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</mml:mtr>
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<mml:mtr>
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<mml:mrow>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">y</mml:mi>
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<mml:mo>⁢</mml:mo>
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<mml:mi mathvariant="italic">s</mml:mi>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mrow>
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<mml:mi mathvariant="italic">y</mml:mi>
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<mml:mrow>
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<mml:mi mathvariant="italic">z</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">x</mml:mi>
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<mml:mi mathvariant="italic">s</mml:mi>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mrow>
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<mml:mrow>
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<mml:msup><mml:mi mathvariant="italic">z</mml:mi>
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<mml:mn>2</mml:mn>
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</mml:msup>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mrow>
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<mml:mn>1</mml:mn>
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<mml:mo>-</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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<mml:mo>+</mml:mo>
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<mml:mi mathvariant="italic">c</mml:mi>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mn>0</mml:mn>
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</mml:mtd>
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</mml:mtr>
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<mml:mtr>
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<mml:mtd>
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<mml:mn>0</mml:mn>
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<mml:mtd>
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<mml:mn>0</mml:mn>
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</mml:mtd>
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<mml:mtd>
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<mml:mn>0</mml:mn>
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</mml:mtd>
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<mml:mtd>
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<mml:mn>1</mml:mn>
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</mml:mtr>
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</mml:mtable>
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</mml:mfenced>
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</mml:math></informalequation>
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</para>
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<para>
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</para>
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<para>
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Where
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<inlineequation><mml:math>
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<!-- eqn: c = cos (angle):-->
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<mml:mrow>
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<mml:mi mathvariant="italic">c</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mrow>
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<mml:mi mathvariant="italic">cos</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="(" close=")">
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<mml:mi mathvariant="italic">angle</mml:mi>
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</mml:mfenced>
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</mml:mrow>
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</mml:mrow>
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</mml:math></inlineequation>,
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<inlineequation><mml:math>
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<!-- eqn: s = sin (angle):-->
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<mml:mrow>
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<mml:mi mathvariant="italic">s</mml:mi>
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<mml:mo>=</mml:mo>
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<mml:mrow>
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<mml:mi mathvariant="italic">sin</mml:mi>
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<mml:mo>⁡</mml:mo>
|
||
|
|
<mml:mfenced open="(" close=")">
|
||
|
|
<mml:mi mathvariant="italic">angle</mml:mi>
|
||
|
|
</mml:mfenced>
|
||
|
|
</mml:mrow>
|
||
|
|
</mml:mrow>
|
||
|
|
</mml:math></inlineequation>,
|
||
|
|
and
|
||
|
|
<inlineequation><mml:math>
|
||
|
|
<!-- eqn: ||( x, y, z )|| = 1:-->
|
||
|
|
<mml:mrow>
|
||
|
|
<mml:mfenced open="∥" close="∥">
|
||
|
|
<mml:mfenced open="(" close=")">
|
||
|
|
<mml:mi mathvariant="italic">x</mml:mi>
|
||
|
|
<mml:mi mathvariant="italic">y</mml:mi>
|
||
|
|
<mml:mi mathvariant="italic">z</mml:mi>
|
||
|
|
</mml:mfenced>
|
||
|
|
</mml:mfenced>
|
||
|
|
<mml:mo>=</mml:mo>
|
||
|
|
<mml:mn>1</mml:mn>
|
||
|
|
</mml:mrow>
|
||
|
|
</mml:math></inlineequation>
|
||
|
|
(if not, the GL
|
||
|
|
will normalize this vector).
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
If the matrix mode is either <constant>GL_MODELVIEW</constant> or <constant>GL_PROJECTION</constant>,
|
||
|
|
all objects drawn after <function>glRotate</function> is called are rotated.
|
||
|
|
Use <citerefentry><refentrytitle>glPushMatrix</refentrytitle></citerefentry> and <citerefentry><refentrytitle>glPopMatrix</refentrytitle></citerefentry> to save and restore
|
||
|
|
the unrotated coordinate system.
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
<refsect1 id="notes"><title>Notes</title>
|
||
|
|
<para>
|
||
|
|
This rotation follows the right-hand rule, so
|
||
|
|
if the vector
|
||
|
|
<inlineequation><mml:math>
|
||
|
|
<!-- eqn: (x, y, z):-->
|
||
|
|
<mml:mfenced open="(" close=")">
|
||
|
|
<mml:mi mathvariant="italic">x</mml:mi>
|
||
|
|
<mml:mi mathvariant="italic">y</mml:mi>
|
||
|
|
<mml:mi mathvariant="italic">z</mml:mi>
|
||
|
|
</mml:mfenced>
|
||
|
|
</mml:math></inlineequation>
|
||
|
|
points toward the
|
||
|
|
user, the rotation will be counterclockwise.
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
<refsect1 id="errors"><title>Errors</title>
|
||
|
|
<para>
|
||
|
|
<constant>GL_INVALID_OPERATION</constant> is generated if <function>glRotate</function>
|
||
|
|
is executed between the execution of <citerefentry><refentrytitle>glBegin</refentrytitle></citerefentry>
|
||
|
|
and the corresponding execution of <citerefentry><refentrytitle>glEnd</refentrytitle></citerefentry>.
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
<refsect1 id="associatedgets"><title>Associated Gets</title>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MATRIX_MODE</constant>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_COLOR_MATRIX</constant>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MODELVIEW_MATRIX</constant>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_PROJECTION_MATRIX</constant>
|
||
|
|
</para>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_TEXTURE_MATRIX</constant>
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
<refsect1 id="seealso"><title>See Also</title>
|
||
|
|
<para>
|
||
|
|
<citerefentry><refentrytitle>glMatrixMode</refentrytitle></citerefentry>,
|
||
|
|
<citerefentry><refentrytitle>glMultMatrix</refentrytitle></citerefentry>,
|
||
|
|
<citerefentry><refentrytitle>glPushMatrix</refentrytitle></citerefentry>,
|
||
|
|
<citerefentry><refentrytitle>glScale</refentrytitle></citerefentry>,
|
||
|
|
<citerefentry><refentrytitle>glTranslate</refentrytitle></citerefentry>
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
<refsect1 id="Copyright"><title>Copyright</title>
|
||
|
|
<para>
|
||
|
|
Copyright <trademark class="copyright"></trademark> 1991-2006
|
||
|
|
Silicon Graphics, Inc. This document is licensed under the SGI
|
||
|
|
Free Software B License. For details, see
|
||
|
|
<ulink url="http://oss.sgi.com/projects/FreeB/">http://oss.sgi.com/projects/FreeB/</ulink>.
|
||
|
|
</para>
|
||
|
|
</refsect1>
|
||
|
|
</refentry>
|