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| Rev | Author | Line No. | Line |
|---|---|---|---|
| 1452 | chris | 1 | <?xml version="1.0" encoding="UTF-8"?> |
| 2 | <!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook MathML Module V1.1b1//EN" |
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| 3 | "http://www.oasis-open.org/docbook/xml/mathml/1.1CR1/dbmathml.dtd"> |
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| 4 | <refentry id="glMultMatrix"> |
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| 5 | <refmeta> |
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| 6 | <refmetainfo> |
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| 7 | <copyright> |
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| 8 | <year>1991-2006</year> |
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| 9 | <holder>Silicon Graphics, Inc.</holder> |
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| 10 | </copyright> |
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| 11 | </refmetainfo> |
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| 12 | <refentrytitle>glMultMatrix</refentrytitle> |
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| 13 | <manvolnum>3G</manvolnum> |
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| 14 | </refmeta> |
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| 15 | <refnamediv> |
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| 16 | <refname>glMultMatrix</refname> |
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| 17 | <refpurpose>multiply the current matrix with the specified matrix</refpurpose> |
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| 18 | </refnamediv> |
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| 19 | <refsynopsisdiv><title>C Specification</title> |
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| 20 | <funcsynopsis> |
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| 21 | <funcprototype> |
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| 22 | <funcdef>void <function>glMultMatrixd</function></funcdef> |
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| 23 | <paramdef>const GLdouble * <parameter>m</parameter></paramdef> |
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| 24 | </funcprototype> |
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| 25 | </funcsynopsis> |
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| 26 | <funcsynopsis> |
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| 27 | <funcprototype> |
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| 28 | <funcdef>void <function>glMultMatrixf</function></funcdef> |
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| 29 | <paramdef>const GLfloat * <parameter>m</parameter></paramdef> |
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| 30 | </funcprototype> |
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| 31 | </funcsynopsis> |
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| 32 | </refsynopsisdiv> |
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| 33 | <!-- eqn: ignoring delim $$ --> |
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| 34 | <refsect1 id="parameters"><title>Parameters</title> |
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| 35 | <variablelist> |
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| 36 | <varlistentry> |
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| 37 | <term><parameter>m</parameter></term> |
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| 38 | <listitem> |
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| 39 | <para> |
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| 40 | Points to 16 consecutive values that are used as the elements of |
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| 41 | a |
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| 42 | <inlineequation><mml:math> |
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| 43 | <!-- eqn: 4 times 4:--> |
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| 44 | <mml:mrow> |
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| 45 | <mml:mn>4</mml:mn> |
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| 46 | <mml:mo>×</mml:mo> |
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| 47 | <mml:mn>4</mml:mn> |
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| 48 | </mml:mrow> |
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| 49 | </mml:math></inlineequation> |
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| 50 | column-major matrix. |
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| 51 | </para> |
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| 52 | </listitem> |
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| 53 | </varlistentry> |
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| 54 | </variablelist> |
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| 55 | </refsect1> |
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| 56 | <refsect1 id="description"><title>Description</title> |
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| 57 | <para> |
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| 58 | <function>glMultMatrix</function> multiplies the current matrix with the one specified using <parameter>m</parameter>, and |
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| 59 | replaces the current matrix with the product. |
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| 60 | </para> |
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| 61 | <para> |
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| 62 | The current matrix is determined by the current matrix mode (see <citerefentry><refentrytitle>glMatrixMode</refentrytitle></citerefentry>). It is either the projection matrix, |
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| 63 | modelview matrix, |
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| 64 | or the texture matrix. |
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| 65 | </para> |
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| 66 | </refsect1> |
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| 67 | <refsect1 id="examples"><title>Examples</title> |
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| 68 | <para> |
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| 69 | If the current matrix is |
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| 70 | <inlineequation><mml:math><mml:mi mathvariant="italic">C</mml:mi></mml:math></inlineequation> |
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| 71 | and the coordinates |
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| 72 | to be transformed are |
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| 73 | <inlineequation><mml:math> |
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| 74 | <!-- eqn: v = (v[0], v[1], v[2], v[3]):--> |
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| 75 | <mml:mrow> |
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| 76 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 77 | <mml:mo>=</mml:mo> |
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| 78 | <mml:mfenced open="(" close=")"> |
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| 79 | <mml:mrow> |
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| 80 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 81 | <mml:mo>⁡</mml:mo> |
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| 82 | <mml:mfenced open="[" close="]"> |
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| 83 | <mml:mn>0</mml:mn> |
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| 84 | </mml:mfenced> |
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| 85 | </mml:mrow> |
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| 86 | <mml:mrow> |
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| 87 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 88 | <mml:mo>⁡</mml:mo> |
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| 89 | <mml:mfenced open="[" close="]"> |
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| 90 | <mml:mn>1</mml:mn> |
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| 91 | </mml:mfenced> |
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| 92 | </mml:mrow> |
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| 93 | <mml:mrow> |
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| 94 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 95 | <mml:mo>⁡</mml:mo> |
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| 96 | <mml:mfenced open="[" close="]"> |
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| 97 | <mml:mn>2</mml:mn> |
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| 98 | </mml:mfenced> |
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| 99 | </mml:mrow> |
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| 100 | <mml:mrow> |
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| 101 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 102 | <mml:mo>⁡</mml:mo> |
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| 103 | <mml:mfenced open="[" close="]"> |
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| 104 | <mml:mn>3</mml:mn> |
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| 105 | </mml:mfenced> |
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| 106 | </mml:mrow> |
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| 107 | </mml:mfenced> |
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| 108 | </mml:mrow> |
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| 109 | </mml:math></inlineequation>, |
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| 110 | then the current transformation is |
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| 111 | <inlineequation><mml:math> |
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| 112 | <!-- eqn: C times v:--> |
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| 113 | <mml:mrow> |
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| 114 | <mml:mi mathvariant="italic">C</mml:mi> |
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| 115 | <mml:mo>×</mml:mo> |
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| 116 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 117 | </mml:mrow> |
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| 118 | </mml:math></inlineequation>, |
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| 119 | or |
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| 120 | </para> |
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| 121 | <para> |
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| 122 | <informalequation><mml:math> |
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| 123 | <!-- eqn: left ( matrix { ccol { c[0] above c[1] above c[2] above c[3] } ccol { c[4] above c[5] above c[6] above c[7] } ccol { c[8] above c[9] above c[10] above c[11] } ccol { c[12] above c[13] above c[14] above c[15] } } right ) times left ( matrix { ccol { v[0] above v[1] above v[2] above v[3] } } right ):--> |
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| 124 | <mml:mrow> |
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| 125 | <mml:mfenced open="(" close=")"> |
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| 126 | <mml:mtable> |
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| 127 | <mml:mtr> |
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| 128 | <mml:mtd> |
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| 129 | <mml:mrow> |
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| 130 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 131 | <mml:mo>⁡</mml:mo> |
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| 132 | <mml:mfenced open="[" close="]"> |
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| 133 | <mml:mn>0</mml:mn> |
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| 134 | </mml:mfenced> |
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| 135 | </mml:mrow> |
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| 136 | </mml:mtd> |
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| 137 | <mml:mtd> |
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| 138 | <mml:mrow> |
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| 139 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 140 | <mml:mo>⁡</mml:mo> |
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| 141 | <mml:mfenced open="[" close="]"> |
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| 142 | <mml:mn>4</mml:mn> |
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| 143 | </mml:mfenced> |
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| 144 | </mml:mrow> |
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| 145 | </mml:mtd> |
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| 146 | <mml:mtd> |
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| 147 | <mml:mrow> |
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| 148 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 149 | <mml:mo>⁡</mml:mo> |
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| 150 | <mml:mfenced open="[" close="]"> |
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| 151 | <mml:mn>8</mml:mn> |
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| 152 | </mml:mfenced> |
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| 153 | </mml:mrow> |
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| 154 | </mml:mtd> |
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| 155 | <mml:mtd> |
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| 156 | <mml:mrow> |
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| 157 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 158 | <mml:mo>⁡</mml:mo> |
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| 159 | <mml:mfenced open="[" close="]"> |
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| 160 | <mml:mn>12</mml:mn> |
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| 161 | </mml:mfenced> |
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| 162 | </mml:mrow> |
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| 163 | </mml:mtd> |
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| 164 | </mml:mtr> |
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| 165 | <mml:mtr> |
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| 166 | <mml:mtd> |
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| 167 | <mml:mrow> |
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| 168 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 169 | <mml:mo>⁡</mml:mo> |
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| 170 | <mml:mfenced open="[" close="]"> |
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| 171 | <mml:mn>1</mml:mn> |
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| 172 | </mml:mfenced> |
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| 173 | </mml:mrow> |
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| 174 | </mml:mtd> |
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| 175 | <mml:mtd> |
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| 176 | <mml:mrow> |
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| 177 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 178 | <mml:mo>⁡</mml:mo> |
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| 179 | <mml:mfenced open="[" close="]"> |
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| 180 | <mml:mn>5</mml:mn> |
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| 181 | </mml:mfenced> |
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| 182 | </mml:mrow> |
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| 183 | </mml:mtd> |
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| 184 | <mml:mtd> |
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| 185 | <mml:mrow> |
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| 186 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 187 | <mml:mo>⁡</mml:mo> |
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| 188 | <mml:mfenced open="[" close="]"> |
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| 189 | <mml:mn>9</mml:mn> |
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| 190 | </mml:mfenced> |
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| 191 | </mml:mrow> |
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| 192 | </mml:mtd> |
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| 193 | <mml:mtd> |
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| 194 | <mml:mrow> |
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| 195 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 196 | <mml:mo>⁡</mml:mo> |
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| 197 | <mml:mfenced open="[" close="]"> |
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| 198 | <mml:mn>13</mml:mn> |
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| 199 | </mml:mfenced> |
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| 200 | </mml:mrow> |
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| 201 | </mml:mtd> |
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| 202 | </mml:mtr> |
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| 203 | <mml:mtr> |
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| 204 | <mml:mtd> |
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| 205 | <mml:mrow> |
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| 206 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 207 | <mml:mo>⁡</mml:mo> |
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| 208 | <mml:mfenced open="[" close="]"> |
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| 209 | <mml:mn>2</mml:mn> |
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| 210 | </mml:mfenced> |
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| 211 | </mml:mrow> |
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| 212 | </mml:mtd> |
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| 213 | <mml:mtd> |
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| 214 | <mml:mrow> |
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| 215 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 216 | <mml:mo>⁡</mml:mo> |
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| 217 | <mml:mfenced open="[" close="]"> |
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| 218 | <mml:mn>6</mml:mn> |
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| 219 | </mml:mfenced> |
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| 220 | </mml:mrow> |
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| 221 | </mml:mtd> |
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| 222 | <mml:mtd> |
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| 223 | <mml:mrow> |
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| 224 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 225 | <mml:mo>⁡</mml:mo> |
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| 226 | <mml:mfenced open="[" close="]"> |
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| 227 | <mml:mn>10</mml:mn> |
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| 228 | </mml:mfenced> |
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| 229 | </mml:mrow> |
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| 230 | </mml:mtd> |
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| 231 | <mml:mtd> |
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| 232 | <mml:mrow> |
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| 233 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 234 | <mml:mo>⁡</mml:mo> |
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| 235 | <mml:mfenced open="[" close="]"> |
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| 236 | <mml:mn>14</mml:mn> |
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| 237 | </mml:mfenced> |
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| 238 | </mml:mrow> |
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| 239 | </mml:mtd> |
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| 240 | </mml:mtr> |
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| 241 | <mml:mtr> |
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| 242 | <mml:mtd> |
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| 243 | <mml:mrow> |
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| 244 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 245 | <mml:mo>⁡</mml:mo> |
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| 246 | <mml:mfenced open="[" close="]"> |
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| 247 | <mml:mn>3</mml:mn> |
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| 248 | </mml:mfenced> |
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| 249 | </mml:mrow> |
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| 250 | </mml:mtd> |
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| 251 | <mml:mtd> |
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| 252 | <mml:mrow> |
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| 253 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 254 | <mml:mo>⁡</mml:mo> |
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| 255 | <mml:mfenced open="[" close="]"> |
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| 256 | <mml:mn>7</mml:mn> |
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| 257 | </mml:mfenced> |
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| 258 | </mml:mrow> |
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| 259 | </mml:mtd> |
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| 260 | <mml:mtd> |
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| 261 | <mml:mrow> |
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| 262 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 263 | <mml:mo>⁡</mml:mo> |
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| 264 | <mml:mfenced open="[" close="]"> |
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| 265 | <mml:mn>11</mml:mn> |
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| 266 | </mml:mfenced> |
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| 267 | </mml:mrow> |
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| 268 | </mml:mtd> |
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| 269 | <mml:mtd> |
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| 270 | <mml:mrow> |
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| 271 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 272 | <mml:mo>⁡</mml:mo> |
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| 273 | <mml:mfenced open="[" close="]"> |
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| 274 | <mml:mn>15</mml:mn> |
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| 275 | </mml:mfenced> |
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| 276 | </mml:mrow> |
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| 277 | </mml:mtd> |
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| 278 | </mml:mtr> |
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| 279 | </mml:mtable> |
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| 280 | </mml:mfenced> |
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| 281 | <mml:mo>×</mml:mo> |
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| 282 | <mml:mfenced open="(" close=")"> |
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| 283 | <mml:mtable> |
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| 284 | <mml:mtr> |
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| 285 | <mml:mtd> |
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| 286 | <mml:mrow> |
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| 287 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 288 | <mml:mo>⁡</mml:mo> |
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| 289 | <mml:mfenced open="[" close="]"> |
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| 290 | <mml:mn>0</mml:mn> |
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| 291 | </mml:mfenced> |
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| 292 | </mml:mrow> |
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| 293 | </mml:mtd> |
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| 294 | </mml:mtr> |
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| 295 | <mml:mtr> |
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| 296 | <mml:mtd> |
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| 297 | <mml:mrow> |
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| 298 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 299 | <mml:mo>⁡</mml:mo> |
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| 300 | <mml:mfenced open="[" close="]"> |
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| 301 | <mml:mn>1</mml:mn> |
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| 302 | </mml:mfenced> |
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| 303 | </mml:mrow> |
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| 304 | </mml:mtd> |
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| 305 | </mml:mtr> |
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| 306 | <mml:mtr> |
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| 307 | <mml:mtd> |
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| 308 | <mml:mrow> |
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| 309 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 310 | <mml:mo>⁡</mml:mo> |
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| 311 | <mml:mfenced open="[" close="]"> |
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| 312 | <mml:mn>2</mml:mn> |
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| 313 | </mml:mfenced> |
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| 314 | </mml:mrow> |
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| 315 | </mml:mtd> |
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| 316 | </mml:mtr> |
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| 317 | <mml:mtr> |
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| 318 | <mml:mtd> |
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| 319 | <mml:mrow> |
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| 320 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 321 | <mml:mo>⁡</mml:mo> |
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| 322 | <mml:mfenced open="[" close="]"> |
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| 323 | <mml:mn>3</mml:mn> |
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| 324 | </mml:mfenced> |
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| 325 | </mml:mrow> |
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| 326 | </mml:mtd> |
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| 327 | </mml:mtr> |
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| 328 | </mml:mtable> |
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| 329 | </mml:mfenced> |
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| 330 | </mml:mrow> |
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| 331 | </mml:math></informalequation> |
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| 332 | </para> |
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| 333 | <para> |
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| 334 | </para> |
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| 335 | <para> |
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| 336 | Calling <function>glMultMatrix</function> with an argument of |
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| 337 | <inlineequation><mml:math> |
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| 338 | <!-- eqn: m = left { m[0], m[1], ..., m[15] right }:--> |
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| 339 | <mml:mrow> |
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| 340 | <mml:mi mathvariant="italic">m</mml:mi> |
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| 341 | <mml:mo>=</mml:mo> |
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| 342 | <mml:mfenced open="{" close="}"> |
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| 343 | <mml:mrow> |
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| 344 | <mml:mi mathvariant="italic">m</mml:mi> |
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| 345 | <mml:mo>⁡</mml:mo> |
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| 346 | <mml:mfenced open="[" close="]"> |
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| 347 | <mml:mn>0</mml:mn> |
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| 348 | </mml:mfenced> |
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| 349 | </mml:mrow> |
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| 350 | <mml:mrow> |
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| 351 | <mml:mi mathvariant="italic">m</mml:mi> |
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| 352 | <mml:mo>⁡</mml:mo> |
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| 353 | <mml:mfenced open="[" close="]"> |
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| 354 | <mml:mn>1</mml:mn> |
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| 355 | </mml:mfenced> |
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| 356 | </mml:mrow> |
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| 357 | <mml:mi mathvariant="italic">...</mml:mi> |
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| 358 | <mml:mrow> |
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| 359 | <mml:mi mathvariant="italic">m</mml:mi> |
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| 360 | <mml:mo>⁡</mml:mo> |
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| 361 | <mml:mfenced open="[" close="]"> |
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| 362 | <mml:mn>15</mml:mn> |
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| 363 | </mml:mfenced> |
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| 364 | </mml:mrow> |
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| 365 | </mml:mfenced> |
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| 366 | </mml:mrow> |
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| 367 | </mml:math></inlineequation> |
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| 368 | replaces the current transformation with |
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| 369 | <inlineequation><mml:math> |
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| 370 | <!-- eqn: (C times M) times v:--> |
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| 371 | <mml:mrow> |
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| 372 | <mml:mfenced open="(" close=")"> |
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| 373 | <mml:mrow> |
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| 374 | <mml:mi mathvariant="italic">C</mml:mi> |
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| 375 | <mml:mo>×</mml:mo> |
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| 376 | <mml:mi mathvariant="italic">M</mml:mi> |
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| 377 | </mml:mrow> |
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| 378 | </mml:mfenced> |
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| 379 | <mml:mo>×</mml:mo> |
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| 380 | <mml:mi mathvariant="italic">v</mml:mi> |
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| 381 | </mml:mrow> |
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| 382 | </mml:math></inlineequation>, |
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| 383 | or |
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| 384 | </para> |
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| 385 | <para> |
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| 386 | <informalequation><mml:math> |
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| 387 | <!-- eqn: left ( matrix { ccol { c[0] above c[1] above c[2] above c[3] } ccol { c[4] above c[5] above c[6] above c[7] } ccol { c[8] above c[9] above c[10] above c[11] } ccol { c[12] above c[13] above c[14] above c[15] } } right ) times left ( matrix { ccol { m[0] above m[1] above m[2] above m[3] } ccol { m[4] above m[5] above m[6] above m[7] } ccol { m[8] above m[9] above m[10] above m[11] } ccol { m[12] above m[13] above m[14] above m[15] } } right ) times left ( matrix { ccol { v[0] above v[1] above v[2] above v[3] } } right ):--> |
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| 388 | <mml:mrow> |
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| 389 | <mml:mfenced open="(" close=")"> |
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| 390 | <mml:mtable> |
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| 391 | <mml:mtr> |
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| 392 | <mml:mtd> |
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| 393 | <mml:mrow> |
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| 394 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 395 | <mml:mo>⁡</mml:mo> |
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| 396 | <mml:mfenced open="[" close="]"> |
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| 397 | <mml:mn>0</mml:mn> |
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| 398 | </mml:mfenced> |
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| 399 | </mml:mrow> |
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| 400 | </mml:mtd> |
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| 401 | <mml:mtd> |
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| 402 | <mml:mrow> |
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| 403 | <mml:mi mathvariant="italic">c</mml:mi> |
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| 404 | <mml:mo>⁡</mml:mo> |
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| 405 | <mml:mfenced open="[" close="]"> |
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| 406 | <mml:mn>4</mml:mn> |
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| 407 | </mml:mfenced> |
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| 408 | </mml:mrow> |
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| 409 | </mml:mtd> |
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| 410 | <mml:mtd> |
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| 411 | <mml:mrow> |
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| 412 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 413 | <mml:mo>⁡</mml:mo> |
||
| 414 | <mml:mfenced open="[" close="]"> |
||
| 415 | <mml:mn>8</mml:mn> |
||
| 416 | </mml:mfenced> |
||
| 417 | </mml:mrow> |
||
| 418 | </mml:mtd> |
||
| 419 | <mml:mtd> |
||
| 420 | <mml:mrow> |
||
| 421 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 422 | <mml:mo>⁡</mml:mo> |
||
| 423 | <mml:mfenced open="[" close="]"> |
||
| 424 | <mml:mn>12</mml:mn> |
||
| 425 | </mml:mfenced> |
||
| 426 | </mml:mrow> |
||
| 427 | </mml:mtd> |
||
| 428 | </mml:mtr> |
||
| 429 | <mml:mtr> |
||
| 430 | <mml:mtd> |
||
| 431 | <mml:mrow> |
||
| 432 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 433 | <mml:mo>⁡</mml:mo> |
||
| 434 | <mml:mfenced open="[" close="]"> |
||
| 435 | <mml:mn>1</mml:mn> |
||
| 436 | </mml:mfenced> |
||
| 437 | </mml:mrow> |
||
| 438 | </mml:mtd> |
||
| 439 | <mml:mtd> |
||
| 440 | <mml:mrow> |
||
| 441 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 442 | <mml:mo>⁡</mml:mo> |
||
| 443 | <mml:mfenced open="[" close="]"> |
||
| 444 | <mml:mn>5</mml:mn> |
||
| 445 | </mml:mfenced> |
||
| 446 | </mml:mrow> |
||
| 447 | </mml:mtd> |
||
| 448 | <mml:mtd> |
||
| 449 | <mml:mrow> |
||
| 450 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 451 | <mml:mo>⁡</mml:mo> |
||
| 452 | <mml:mfenced open="[" close="]"> |
||
| 453 | <mml:mn>9</mml:mn> |
||
| 454 | </mml:mfenced> |
||
| 455 | </mml:mrow> |
||
| 456 | </mml:mtd> |
||
| 457 | <mml:mtd> |
||
| 458 | <mml:mrow> |
||
| 459 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 460 | <mml:mo>⁡</mml:mo> |
||
| 461 | <mml:mfenced open="[" close="]"> |
||
| 462 | <mml:mn>13</mml:mn> |
||
| 463 | </mml:mfenced> |
||
| 464 | </mml:mrow> |
||
| 465 | </mml:mtd> |
||
| 466 | </mml:mtr> |
||
| 467 | <mml:mtr> |
||
| 468 | <mml:mtd> |
||
| 469 | <mml:mrow> |
||
| 470 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 471 | <mml:mo>⁡</mml:mo> |
||
| 472 | <mml:mfenced open="[" close="]"> |
||
| 473 | <mml:mn>2</mml:mn> |
||
| 474 | </mml:mfenced> |
||
| 475 | </mml:mrow> |
||
| 476 | </mml:mtd> |
||
| 477 | <mml:mtd> |
||
| 478 | <mml:mrow> |
||
| 479 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 480 | <mml:mo>⁡</mml:mo> |
||
| 481 | <mml:mfenced open="[" close="]"> |
||
| 482 | <mml:mn>6</mml:mn> |
||
| 483 | </mml:mfenced> |
||
| 484 | </mml:mrow> |
||
| 485 | </mml:mtd> |
||
| 486 | <mml:mtd> |
||
| 487 | <mml:mrow> |
||
| 488 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 489 | <mml:mo>⁡</mml:mo> |
||
| 490 | <mml:mfenced open="[" close="]"> |
||
| 491 | <mml:mn>10</mml:mn> |
||
| 492 | </mml:mfenced> |
||
| 493 | </mml:mrow> |
||
| 494 | </mml:mtd> |
||
| 495 | <mml:mtd> |
||
| 496 | <mml:mrow> |
||
| 497 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 498 | <mml:mo>⁡</mml:mo> |
||
| 499 | <mml:mfenced open="[" close="]"> |
||
| 500 | <mml:mn>14</mml:mn> |
||
| 501 | </mml:mfenced> |
||
| 502 | </mml:mrow> |
||
| 503 | </mml:mtd> |
||
| 504 | </mml:mtr> |
||
| 505 | <mml:mtr> |
||
| 506 | <mml:mtd> |
||
| 507 | <mml:mrow> |
||
| 508 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 509 | <mml:mo>⁡</mml:mo> |
||
| 510 | <mml:mfenced open="[" close="]"> |
||
| 511 | <mml:mn>3</mml:mn> |
||
| 512 | </mml:mfenced> |
||
| 513 | </mml:mrow> |
||
| 514 | </mml:mtd> |
||
| 515 | <mml:mtd> |
||
| 516 | <mml:mrow> |
||
| 517 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 518 | <mml:mo>⁡</mml:mo> |
||
| 519 | <mml:mfenced open="[" close="]"> |
||
| 520 | <mml:mn>7</mml:mn> |
||
| 521 | </mml:mfenced> |
||
| 522 | </mml:mrow> |
||
| 523 | </mml:mtd> |
||
| 524 | <mml:mtd> |
||
| 525 | <mml:mrow> |
||
| 526 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 527 | <mml:mo>⁡</mml:mo> |
||
| 528 | <mml:mfenced open="[" close="]"> |
||
| 529 | <mml:mn>11</mml:mn> |
||
| 530 | </mml:mfenced> |
||
| 531 | </mml:mrow> |
||
| 532 | </mml:mtd> |
||
| 533 | <mml:mtd> |
||
| 534 | <mml:mrow> |
||
| 535 | <mml:mi mathvariant="italic">c</mml:mi> |
||
| 536 | <mml:mo>⁡</mml:mo> |
||
| 537 | <mml:mfenced open="[" close="]"> |
||
| 538 | <mml:mn>15</mml:mn> |
||
| 539 | </mml:mfenced> |
||
| 540 | </mml:mrow> |
||
| 541 | </mml:mtd> |
||
| 542 | </mml:mtr> |
||
| 543 | </mml:mtable> |
||
| 544 | </mml:mfenced> |
||
| 545 | <mml:mo>×</mml:mo> |
||
| 546 | <mml:mfenced open="(" close=")"> |
||
| 547 | <mml:mtable> |
||
| 548 | <mml:mtr> |
||
| 549 | <mml:mtd> |
||
| 550 | <mml:mrow> |
||
| 551 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 552 | <mml:mo>⁡</mml:mo> |
||
| 553 | <mml:mfenced open="[" close="]"> |
||
| 554 | <mml:mn>0</mml:mn> |
||
| 555 | </mml:mfenced> |
||
| 556 | </mml:mrow> |
||
| 557 | </mml:mtd> |
||
| 558 | <mml:mtd> |
||
| 559 | <mml:mrow> |
||
| 560 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 561 | <mml:mo>⁡</mml:mo> |
||
| 562 | <mml:mfenced open="[" close="]"> |
||
| 563 | <mml:mn>4</mml:mn> |
||
| 564 | </mml:mfenced> |
||
| 565 | </mml:mrow> |
||
| 566 | </mml:mtd> |
||
| 567 | <mml:mtd> |
||
| 568 | <mml:mrow> |
||
| 569 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 570 | <mml:mo>⁡</mml:mo> |
||
| 571 | <mml:mfenced open="[" close="]"> |
||
| 572 | <mml:mn>8</mml:mn> |
||
| 573 | </mml:mfenced> |
||
| 574 | </mml:mrow> |
||
| 575 | </mml:mtd> |
||
| 576 | <mml:mtd> |
||
| 577 | <mml:mrow> |
||
| 578 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 579 | <mml:mo>⁡</mml:mo> |
||
| 580 | <mml:mfenced open="[" close="]"> |
||
| 581 | <mml:mn>12</mml:mn> |
||
| 582 | </mml:mfenced> |
||
| 583 | </mml:mrow> |
||
| 584 | </mml:mtd> |
||
| 585 | </mml:mtr> |
||
| 586 | <mml:mtr> |
||
| 587 | <mml:mtd> |
||
| 588 | <mml:mrow> |
||
| 589 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 590 | <mml:mo>⁡</mml:mo> |
||
| 591 | <mml:mfenced open="[" close="]"> |
||
| 592 | <mml:mn>1</mml:mn> |
||
| 593 | </mml:mfenced> |
||
| 594 | </mml:mrow> |
||
| 595 | </mml:mtd> |
||
| 596 | <mml:mtd> |
||
| 597 | <mml:mrow> |
||
| 598 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 599 | <mml:mo>⁡</mml:mo> |
||
| 600 | <mml:mfenced open="[" close="]"> |
||
| 601 | <mml:mn>5</mml:mn> |
||
| 602 | </mml:mfenced> |
||
| 603 | </mml:mrow> |
||
| 604 | </mml:mtd> |
||
| 605 | <mml:mtd> |
||
| 606 | <mml:mrow> |
||
| 607 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 608 | <mml:mo>⁡</mml:mo> |
||
| 609 | <mml:mfenced open="[" close="]"> |
||
| 610 | <mml:mn>9</mml:mn> |
||
| 611 | </mml:mfenced> |
||
| 612 | </mml:mrow> |
||
| 613 | </mml:mtd> |
||
| 614 | <mml:mtd> |
||
| 615 | <mml:mrow> |
||
| 616 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 617 | <mml:mo>⁡</mml:mo> |
||
| 618 | <mml:mfenced open="[" close="]"> |
||
| 619 | <mml:mn>13</mml:mn> |
||
| 620 | </mml:mfenced> |
||
| 621 | </mml:mrow> |
||
| 622 | </mml:mtd> |
||
| 623 | </mml:mtr> |
||
| 624 | <mml:mtr> |
||
| 625 | <mml:mtd> |
||
| 626 | <mml:mrow> |
||
| 627 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 628 | <mml:mo>⁡</mml:mo> |
||
| 629 | <mml:mfenced open="[" close="]"> |
||
| 630 | <mml:mn>2</mml:mn> |
||
| 631 | </mml:mfenced> |
||
| 632 | </mml:mrow> |
||
| 633 | </mml:mtd> |
||
| 634 | <mml:mtd> |
||
| 635 | <mml:mrow> |
||
| 636 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 637 | <mml:mo>⁡</mml:mo> |
||
| 638 | <mml:mfenced open="[" close="]"> |
||
| 639 | <mml:mn>6</mml:mn> |
||
| 640 | </mml:mfenced> |
||
| 641 | </mml:mrow> |
||
| 642 | </mml:mtd> |
||
| 643 | <mml:mtd> |
||
| 644 | <mml:mrow> |
||
| 645 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 646 | <mml:mo>⁡</mml:mo> |
||
| 647 | <mml:mfenced open="[" close="]"> |
||
| 648 | <mml:mn>10</mml:mn> |
||
| 649 | </mml:mfenced> |
||
| 650 | </mml:mrow> |
||
| 651 | </mml:mtd> |
||
| 652 | <mml:mtd> |
||
| 653 | <mml:mrow> |
||
| 654 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 655 | <mml:mo>⁡</mml:mo> |
||
| 656 | <mml:mfenced open="[" close="]"> |
||
| 657 | <mml:mn>14</mml:mn> |
||
| 658 | </mml:mfenced> |
||
| 659 | </mml:mrow> |
||
| 660 | </mml:mtd> |
||
| 661 | </mml:mtr> |
||
| 662 | <mml:mtr> |
||
| 663 | <mml:mtd> |
||
| 664 | <mml:mrow> |
||
| 665 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 666 | <mml:mo>⁡</mml:mo> |
||
| 667 | <mml:mfenced open="[" close="]"> |
||
| 668 | <mml:mn>3</mml:mn> |
||
| 669 | </mml:mfenced> |
||
| 670 | </mml:mrow> |
||
| 671 | </mml:mtd> |
||
| 672 | <mml:mtd> |
||
| 673 | <mml:mrow> |
||
| 674 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 675 | <mml:mo>⁡</mml:mo> |
||
| 676 | <mml:mfenced open="[" close="]"> |
||
| 677 | <mml:mn>7</mml:mn> |
||
| 678 | </mml:mfenced> |
||
| 679 | </mml:mrow> |
||
| 680 | </mml:mtd> |
||
| 681 | <mml:mtd> |
||
| 682 | <mml:mrow> |
||
| 683 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 684 | <mml:mo>⁡</mml:mo> |
||
| 685 | <mml:mfenced open="[" close="]"> |
||
| 686 | <mml:mn>11</mml:mn> |
||
| 687 | </mml:mfenced> |
||
| 688 | </mml:mrow> |
||
| 689 | </mml:mtd> |
||
| 690 | <mml:mtd> |
||
| 691 | <mml:mrow> |
||
| 692 | <mml:mi mathvariant="italic">m</mml:mi> |
||
| 693 | <mml:mo>⁡</mml:mo> |
||
| 694 | <mml:mfenced open="[" close="]"> |
||
| 695 | <mml:mn>15</mml:mn> |
||
| 696 | </mml:mfenced> |
||
| 697 | </mml:mrow> |
||
| 698 | </mml:mtd> |
||
| 699 | </mml:mtr> |
||
| 700 | </mml:mtable> |
||
| 701 | </mml:mfenced> |
||
| 702 | <mml:mo>×</mml:mo> |
||
| 703 | <mml:mfenced open="(" close=")"> |
||
| 704 | <mml:mtable> |
||
| 705 | <mml:mtr> |
||
| 706 | <mml:mtd> |
||
| 707 | <mml:mrow> |
||
| 708 | <mml:mi mathvariant="italic">v</mml:mi> |
||
| 709 | <mml:mo>⁡</mml:mo> |
||
| 710 | <mml:mfenced open="[" close="]"> |
||
| 711 | <mml:mn>0</mml:mn> |
||
| 712 | </mml:mfenced> |
||
| 713 | </mml:mrow> |
||
| 714 | </mml:mtd> |
||
| 715 | </mml:mtr> |
||
| 716 | <mml:mtr> |
||
| 717 | <mml:mtd> |
||
| 718 | <mml:mrow> |
||
| 719 | <mml:mi mathvariant="italic">v</mml:mi> |
||
| 720 | <mml:mo>⁡</mml:mo> |
||
| 721 | <mml:mfenced open="[" close="]"> |
||
| 722 | <mml:mn>1</mml:mn> |
||
| 723 | </mml:mfenced> |
||
| 724 | </mml:mrow> |
||
| 725 | </mml:mtd> |
||
| 726 | </mml:mtr> |
||
| 727 | <mml:mtr> |
||
| 728 | <mml:mtd> |
||
| 729 | <mml:mrow> |
||
| 730 | <mml:mi mathvariant="italic">v</mml:mi> |
||
| 731 | <mml:mo>⁡</mml:mo> |
||
| 732 | <mml:mfenced open="[" close="]"> |
||
| 733 | <mml:mn>2</mml:mn> |
||
| 734 | </mml:mfenced> |
||
| 735 | </mml:mrow> |
||
| 736 | </mml:mtd> |
||
| 737 | </mml:mtr> |
||
| 738 | <mml:mtr> |
||
| 739 | <mml:mtd> |
||
| 740 | <mml:mrow> |
||
| 741 | <mml:mi mathvariant="italic">v</mml:mi> |
||
| 742 | <mml:mo>⁡</mml:mo> |
||
| 743 | <mml:mfenced open="[" close="]"> |
||
| 744 | <mml:mn>3</mml:mn> |
||
| 745 | </mml:mfenced> |
||
| 746 | </mml:mrow> |
||
| 747 | </mml:mtd> |
||
| 748 | </mml:mtr> |
||
| 749 | </mml:mtable> |
||
| 750 | </mml:mfenced> |
||
| 751 | </mml:mrow> |
||
| 752 | </mml:math></informalequation> |
||
| 753 | </para> |
||
| 754 | <para> |
||
| 755 | </para> |
||
| 756 | <para> |
||
| 757 | Where |
||
| 758 | <inlineequation><mml:math><mml:mi mathvariant="italic">v</mml:mi></mml:math></inlineequation> |
||
| 759 | is represented as a |
||
| 760 | <inlineequation><mml:math> |
||
| 761 | <!-- eqn: 4 times 1:--> |
||
| 762 | <mml:mrow> |
||
| 763 | <mml:mn>4</mml:mn> |
||
| 764 | <mml:mo>×</mml:mo> |
||
| 765 | <mml:mn>1</mml:mn> |
||
| 766 | </mml:mrow> |
||
| 767 | </mml:math></inlineequation> |
||
| 768 | matrix. |
||
| 769 | </para> |
||
| 770 | </refsect1> |
||
| 771 | <refsect1 id="notes"><title>Notes</title> |
||
| 772 | <para> |
||
| 773 | While the elements of the matrix may be specified with |
||
| 774 | single or double precision, the GL may store or operate on these |
||
| 775 | values in less-than-single precision. |
||
| 776 | </para> |
||
| 777 | <para> |
||
| 778 | In many computer languages, |
||
| 779 | <inlineequation><mml:math> |
||
| 780 | <!-- eqn: 4 times 4:--> |
||
| 781 | <mml:mrow> |
||
| 782 | <mml:mn>4</mml:mn> |
||
| 783 | <mml:mo>×</mml:mo> |
||
| 784 | <mml:mn>4</mml:mn> |
||
| 785 | </mml:mrow> |
||
| 786 | </mml:math></inlineequation> |
||
| 787 | arrays are represented |
||
| 788 | in row-major order. The transformations just described |
||
| 789 | represent these matrices in column-major order. |
||
| 790 | The order of the multiplication is important. For example, if the current |
||
| 791 | transformation is a rotation, and <function>glMultMatrix</function> is called with a translation matrix, |
||
| 792 | the translation is done directly on the coordinates to be transformed, |
||
| 793 | while the rotation is done on the results of that translation. |
||
| 794 | </para> |
||
| 795 | </refsect1> |
||
| 796 | <refsect1 id="errors"><title>Errors</title> |
||
| 797 | <para> |
||
| 798 | <constant>GL_INVALID_OPERATION</constant> is generated if <function>glMultMatrix</function> |
||
| 799 | is executed between the execution of <citerefentry><refentrytitle>glBegin</refentrytitle></citerefentry> |
||
| 800 | and the corresponding execution of <citerefentry><refentrytitle>glEnd</refentrytitle></citerefentry>. |
||
| 801 | </para> |
||
| 802 | </refsect1> |
||
| 803 | <refsect1 id="associatedgets"><title>Associated Gets</title> |
||
| 804 | <para> |
||
| 805 | <citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MATRIX_MODE</constant> |
||
| 806 | </para> |
||
| 807 | <para> |
||
| 808 | <citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_COLOR_MATRIX</constant> |
||
| 809 | </para> |
||
| 810 | <para> |
||
| 811 | <citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_MODELVIEW_MATRIX</constant> |
||
| 812 | </para> |
||
| 813 | <para> |
||
| 814 | <citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_PROJECTION_MATRIX</constant> |
||
| 815 | </para> |
||
| 816 | <para> |
||
| 817 | <citerefentry><refentrytitle>glGet</refentrytitle></citerefentry> with argument <constant>GL_TEXTURE_MATRIX</constant> |
||
| 818 | </para> |
||
| 819 | </refsect1> |
||
| 820 | <refsect1 id="seealso"><title>See Also</title> |
||
| 821 | <para> |
||
| 822 | <citerefentry><refentrytitle>glLoadIdentity</refentrytitle></citerefentry>, |
||
| 823 | <citerefentry><refentrytitle>glLoadMatrix</refentrytitle></citerefentry>, |
||
| 824 | <citerefentry><refentrytitle>glLoadTransposeMatrix</refentrytitle></citerefentry>, |
||
| 825 | <citerefentry><refentrytitle>glMatrixMode</refentrytitle></citerefentry>, |
||
| 826 | <citerefentry><refentrytitle>glMultTransposeMatrix</refentrytitle></citerefentry>, |
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| 827 | <citerefentry><refentrytitle>glPushMatrix</refentrytitle></citerefentry> |
||
| 828 | </para> |
||
| 829 | </refsect1> |
||
| 830 | <refsect1 id="Copyright"><title>Copyright</title> |
||
| 831 | <para> |
||
| 832 | Copyright <trademark class="copyright"></trademark> 1991-2006 |
||
| 833 | Silicon Graphics, Inc. This document is licensed under the SGI |
||
| 834 | Free Software B License. For details, see |
||
| 835 | <ulink url="http://oss.sgi.com/projects/FreeB/">http://oss.sgi.com/projects/FreeB/</ulink>. |
||
| 836 | </para> |
||
| 837 | </refsect1> |
||
| 838 | </refentry> |