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457 lines
23 KiB
XML
457 lines
23 KiB
XML
<?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="glLoadTransposeMatrix">
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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>glLoadTransposeMatrix</refentrytitle>
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<manvolnum>3G</manvolnum>
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</refmeta>
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<refnamediv>
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<refname>glLoadTransposeMatrix</refname>
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<refpurpose>replace the current matrix with the specified row-major ordered 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>glLoadTransposeMatrixd</function></funcdef>
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<paramdef>const GLdouble * <parameter>m</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>glLoadTransposeMatrixf</function></funcdef>
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<paramdef>const GLfloat * <parameter>m</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>m</parameter></term>
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<listitem>
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<para>
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Specifies a pointer to 16 consecutive values, which are used as the
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elements of a
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<inlineequation><mml:math>
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<!-- eqn: 4 times 4:-->
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<mml:mrow>
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<mml:mn>4</mml:mn>
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<mml:mo>×</mml:mo>
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<mml:mn>4</mml:mn>
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</mml:mrow>
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</mml:math></inlineequation>
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row-major matrix.
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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>glLoadTransposeMatrix</function> replaces the current matrix with the one whose elements are specified by
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<parameter>m</parameter>.
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The current matrix is the projection matrix,
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modelview matrix,
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or texture matrix,
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depending on the current matrix mode
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(see <citerefentry><refentrytitle>glMatrixMode</refentrytitle></citerefentry>).
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</para>
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<para>
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The current matrix, M, defines a transformation of coordinates.
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For instance, assume M refers to the modelview matrix.
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If
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<inlineequation><mml:math>
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<!-- eqn: v = (v[0], v[1], v[2], v[3]):-->
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<mml:mrow>
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<mml:mi mathvariant="italic">v</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:mi mathvariant="italic">v</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>0</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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<mml:mrow>
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<mml:mi mathvariant="italic">v</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>1</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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<mml:mrow>
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<mml:mi mathvariant="italic">v</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>2</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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<mml:mrow>
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<mml:mi mathvariant="italic">v</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>3</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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</mml:math></inlineequation>
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is the set of object coordinates
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of a vertex,
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and <parameter>m</parameter> points to an array of
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<inlineequation><mml:math>
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<!-- eqn: 16:-->
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<mml:mn>16</mml:mn>
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</mml:math></inlineequation>
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single- or double-precision
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floating-point values
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<inlineequation><mml:math>
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<!-- eqn: m = left { m[0], m[1], ..., m[15] right }:-->
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<mml:mrow>
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<mml:mi mathvariant="italic">m</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:mi mathvariant="italic">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>0</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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<mml:mrow>
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<mml:mi mathvariant="italic">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>1</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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<mml:mi mathvariant="italic">...</mml:mi>
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<mml:mrow>
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<mml:mi mathvariant="italic">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>15</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mfenced>
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</mml:mrow>
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</mml:math></inlineequation>,
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then the modelview transformation
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<inlineequation><mml:math>
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<!-- eqn: M(v):-->
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<mml:mrow>
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<mml:mi mathvariant="italic">M</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">v</mml:mi>
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</mml:mfenced>
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</mml:mrow>
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</mml:math></inlineequation>
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does the following:
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</para>
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<para>
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<informalequation><mml:math>
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<!-- eqn: M(v) = left ( matrix { ccol { m[0] above m[4] above m[8] above m[12] } ccol { m[1] above m[5] above m[9] above m[13] } ccol { m[2] above m[6] above m[10] above m[14] } ccol { m[3] above m[7] above m[11] above m[15] } } right ) times left ( matrix { ccol { v[0] above v[1] above v[2] above v[3] } } right ):-->
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<mml:mrow>
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<mml:mrow>
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<mml:mi mathvariant="italic">M</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">v</mml:mi>
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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:mrow>
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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:mi mathvariant="italic">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>0</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>1</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>2</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>3</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>4</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>5</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>6</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mtd>
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<mml:mtd>
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<mml:mi mathvariant="italic">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>7</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mtd>
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</mml:mtr>
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<mml:mtd>
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<mml:mi mathvariant="italic">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>8</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>9</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>10</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>11</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>12</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>13</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>14</mml:mn>
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</mml:mfenced>
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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">m</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>15</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mtd>
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</mml:mtr>
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</mml:mtable>
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</mml:mfenced>
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<mml:mo>×</mml:mo>
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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:mi mathvariant="italic">v</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>0</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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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">v</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>1</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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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">v</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>2</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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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">v</mml:mi>
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<mml:mo>⁡</mml:mo>
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<mml:mfenced open="[" close="]">
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<mml:mn>3</mml:mn>
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</mml:mfenced>
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</mml:mrow>
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</mml:mtd>
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</mml:mtr>
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</mml:mtable>
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</mml:mfenced>
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</mml:mrow>
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</mml:mrow>
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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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Projection and texture transformations are similarly defined.
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</para>
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<para>
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Calling <function>glLoadTransposeMatrix</function> with matrix
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<inlineequation><mml:math><mml:mi mathvariant="italic">M</mml:mi></mml:math></inlineequation>
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is identical in operation to
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<citerefentry><refentrytitle>glLoadMatrix</refentrytitle></citerefentry> with
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<inlineequation><mml:math>
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<!-- eqn: M sup T:-->
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<mml:msup><mml:mi mathvariant="italic">M</mml:mi>
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<mml:mi mathvariant="italic">T</mml:mi>
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</mml:msup>
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</mml:math></inlineequation>,
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where
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<inlineequation><mml:math><mml:mi mathvariant="italic">T</mml:mi></mml:math></inlineequation>
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represents the transpose.
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</para>
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</refsect1>
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<refsect1 id="notes"><title>Notes</title>
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<para>
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<function>glLoadTransposeMatrix</function> is available only if the GL version is 1.3 or greater.
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</para>
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<para>
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While the elements of the matrix may be specified with
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single or double precision, the GL implementation may
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store or operate on these values in less than single
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precision.
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</para>
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</refsect1>
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<refsect1 id="errors"><title>Errors</title>
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<para>
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<constant>GL_INVALID_OPERATION</constant> is generated if <function>glLoadTransposeMatrix</function>
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is executed between the execution of <citerefentry><refentrytitle>glBegin</refentrytitle></citerefentry>
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and the corresponding execution of <citerefentry><refentrytitle>glEnd</refentrytitle></citerefentry>.
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</para>
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</refsect1>
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<refsect1 id="associatedgets"><title>Associated Gets</title>
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<para>
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<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MATRIX_MODE</constant>
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</para>
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<para>
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<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_COLOR_MATRIX</constant>
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</para>
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<para>
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<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MODELVIEW_MATRIX</constant>
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</para>
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<para>
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<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_PROJECTION_MATRIX</constant>
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</para>
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<para>
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<citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_TEXTURE_MATRIX</constant>
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</para>
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</refsect1>
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<refsect1 id="seealso"><title>See Also</title>
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<para>
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<citerefentry><refentrytitle>glLoadIdentity</refentrytitle></citerefentry>,
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<citerefentry><refentrytitle>glLoadMatrix</refentrytitle></citerefentry>,
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<citerefentry><refentrytitle>glMatrixMode</refentrytitle></citerefentry>,
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<citerefentry><refentrytitle>glMultMatrix</refentrytitle></citerefentry>,
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<citerefentry><refentrytitle>glMultTransposeMatrix</refentrytitle></citerefentry>,
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<citerefentry><refentrytitle>glPushMatrix</refentrytitle></citerefentry>
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</para>
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</refsect1>
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<refsect1 id="Copyright"><title>Copyright</title>
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<para>
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|
Copyright <trademark class="copyright"></trademark> 1991-2006
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|
Silicon Graphics, Inc. This document is licensed under the SGI
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|
Free Software B License. For details, see
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|
<ulink url="http://oss.sgi.com/projects/FreeB/">http://oss.sgi.com/projects/FreeB/</ulink>.
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</para>
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|
</refsect1>
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|
</refentry>
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