forked from BSVino/docs.gl
-
Notifications
You must be signed in to change notification settings - Fork 0
/
glRotate.xhtml
129 lines (129 loc) · 9.09 KB
/
glRotate.xhtml
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
<div class="refentry" title="glRotate"><a id="glRotate"></a><div class="titlepage"></div><div class="refnamediv"><h2>Name</h2><p>glRotate — multiply the current matrix by a rotation matrix</p></div><div class="refsynopsisdiv" title="C Specification"><h2>C Specification</h2><div class="funcsynopsis"><table border="0" summary="Function synopsis" cellspacing="0" cellpadding="0" class="funcprototype-table"><tr><td><code class="funcdef">void <b class="fsfunc">glRotatef</b>(</code></td><td>GLfloat <var class="pdparam">angle</var>, </td></tr><tr><td> </td><td>GLfloat <var class="pdparam">x</var>, </td></tr><tr><td> </td><td>GLfloat <var class="pdparam">y</var>, </td></tr><tr><td> </td><td>GLfloat <var class="pdparam">z</var><code>)</code>;</td></tr></table><div class="funcprototype-spacer"> </div><table border="0" summary="Function synopsis" cellspacing="0" cellpadding="0" class="funcprototype-table"><tr><td><code class="funcdef">void <b class="fsfunc">glRotatex</b>(</code></td><td>GLfixed <var class="pdparam">angle</var>, </td></tr><tr><td> </td><td>GLfixed <var class="pdparam">x</var>, </td></tr><tr><td> </td><td>GLfixed <var class="pdparam">y</var>, </td></tr><tr><td> </td><td>GLfixed <var class="pdparam">z</var><code>)</code>;</td></tr></table><div class="funcprototype-spacer"> </div></div></div><div class="refsect1" title="Parameters"><a id="parameters"></a><h2>Parameters</h2><div class="variablelist"><dl><dt><span class="term">
<em class="parameter"><code>angle</code></em>
</span></dt><dd><p>Specifies the angle of rotation, in degrees.</p></dd><dt><span class="term">
<em class="parameter"><code>x</code></em>,
<em class="parameter"><code>y</code></em>,
<em class="parameter"><code>z</code></em>
</span></dt><dd><p>Specify the
<em class="parameter"><code>x</code></em>,
<em class="parameter"><code>y</code></em>, and
<em class="parameter"><code>z</code></em>
coordinates of a vector, respectively.</p></dd></dl></div></div><div class="refsect1" title="Description"><a id="description"></a><h2>Description</h2><p><code class="function">glRotate</code> produces a rotation of
<em class="parameter"><code>angle</code></em> degrees around the vector
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mfenced><mml:mi>x</mml:mi><mml:mi>y</mml:mi><mml:mi>z</mml:mi></mml:mfenced>
</mml:math>.
The current matrix (see
<a class="citerefentry" href="glMatrixMode"><span class="citerefentry"><span class="refentrytitle">glMatrixMode</span></span></a>)
is multiplied by a rotation matrix with the product replacing
the current matrix, as if
<a class="citerefentry" href="glMultMatrix"><span class="citerefentry"><span class="refentrytitle">glMultMatrix</span></span></a>
were called with the following matrix as its argument:</p><div class="informalequation"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mtable class="matrix">
<mml:mtr>
<mml:mtd>
<mml:msup><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msup>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>+</mml:mo><mml:mi>c</mml:mi>
</mml:mtd>
<mml:mtd>
<mml:mi>x</mml:mi><mml:mn>y</mml:mn>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>-</mml:mo><mml:mi>z</mml:mi><mml:mi>s</mml:mi>
</mml:mtd>
<mml:mtd>
<mml:mi>x</mml:mi><mml:mn>z</mml:mn>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>+</mml:mo><mml:mi>y</mml:mi><mml:mi>s</mml:mi>
</mml:mtd>
<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi>x</mml:mi><mml:mn>y</mml:mn>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>+</mml:mo><mml:mi>z</mml:mi><mml:mi>s</mml:mi>
</mml:mtd>
<mml:mtd>
<mml:msup><mml:mi>y</mml:mi><mml:mn>2</mml:mn></mml:msup>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>+</mml:mo><mml:mi>c</mml:mi>
</mml:mtd>
<mml:mtd>
<mml:mi>y</mml:mi><mml:mn>z</mml:mn>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>-</mml:mo><mml:mi>x</mml:mi><mml:mi>s</mml:mi>
</mml:mtd>
<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mi>x</mml:mi><mml:mn>z</mml:mn>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>-</mml:mo><mml:mi>y</mml:mi><mml:mi>s</mml:mi>
</mml:mtd>
<mml:mtd>
<mml:mi>y</mml:mi><mml:mn>z</mml:mn>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>+</mml:mo><mml:mi>x</mml:mi><mml:mi>s</mml:mi>
</mml:mtd>
<mml:mtd>
<mml:msup><mml:mi>z</mml:mi><mml:mn>2</mml:mn></mml:msup>
<mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:mi>c</mml:mi><mml:mo>)</mml:mo>
<mml:mo>+</mml:mo><mml:mi>c</mml:mi>
</mml:mtd>
<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
<mml:mtd><mml:mn>0</mml:mn></mml:mtd>
<mml:mtd><mml:mn>1</mml:mn></mml:mtd>
</mml:mtr>
</mml:mtable>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:math></div><p>Where
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mo>cos</mml:mo><mml:mfenced><mml:mi>angle</mml:mi></mml:mfenced>
</mml:math>,
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mi>s</mml:mi><mml:mo>=</mml:mo><mml:mo>sin</mml:mo><mml:mfenced><mml:mi>angle</mml:mi></mml:mfenced>
</mml:math>,
and
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mo>||</mml:mo><mml:mfenced><mml:mi>x</mml:mi><mml:mi>y</mml:mi><mml:mi>z</mml:mi></mml:mfenced><mml:mo>||</mml:mo>
<mml:mo>=</mml:mo><mml:mn>1</mml:mn>
</mml:math>,
(if not, the GL will normalize this vector).</p><p>If the matrix mode is either <code class="constant">GL_MODELVIEW</code> or
<code class="constant">GL_PROJECTION</code>, all objects drawn after
<code class="function">glRotate</code> is called are rotated. Use
<a class="citerefentry" href="glPushMatrix"><span class="citerefentry"><span class="refentrytitle">glPushMatrix</span></span></a>
and
<a class="citerefentry" href="glPopMatrix"><span class="citerefentry"><span class="refentrytitle">glPopMatrix</span></span></a>
to save and restore the unrotated coordinate system.</p></div><div class="refsect1" title="Notes"><a id="notes"></a><h2>Notes</h2><p>This rotation follows the right-hand rule, so if the vector
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll">
<mml:mfenced><mml:mi>x</mml:mi><mml:mi>y</mml:mi><mml:mi>z</mml:mi></mml:mfenced>
</mml:math>
points toward the user, the rotation will be counterclockwise.</p></div><div class="refsect1" title="Associated Gets"><a id="associatedgets"></a><h2>Associated Gets</h2><p>
<a class="citerefentry" href="glGet"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_MATRIX_MODE</code>
</p><p>
<a class="citerefentry" href="glGet"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_MODELVIEW_MATRIX</code>
</p><p>
<a class="citerefentry" href="glGet"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_PROJECTION_MATRIX</code>
</p><p>
<a class="citerefentry" href="glGet"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_TEXTURE_MATRIX</code>
</p></div><div class="refsect1" title="See Also"><a id="seealso"></a><h2>See Also</h2><p>
<a class="citerefentry" href="glMatrixMode"><span class="citerefentry"><span class="refentrytitle">glMatrixMode</span></span></a>,
<a class="citerefentry" href="glMultMatrix"><span class="citerefentry"><span class="refentrytitle">glMultMatrix</span></span></a>,
<a class="citerefentry" href="glPushMatrix"><span class="citerefentry"><span class="refentrytitle">glPushMatrix</span></span></a>,
<a class="citerefentry" href="glScale"><span class="citerefentry"><span class="refentrytitle">glScale</span></span></a>,
<a class="citerefentry" href="glTranslate"><span class="citerefentry"><span class="refentrytitle">glTranslate</span></span></a>
</p></div><div class="refsect1" title="Copyright"><a id="copyright"></a><h2>Copyright</h2><p>
Copyright <span class="trademark"></span>© 2003-2004
Silicon Graphics, Inc. This document is licensed under the SGI
Free Software B License. For details, see
<a class="ulink" href="http://oss.sgi.com/projects/FreeB/" target="_top">http://oss.sgi.com/projects/FreeB/</a>.
</p></div></div>