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[clinton/guile-figl.git] / upstream-doc / man2 / gluProject.xml
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1<?xml version="1.0" encoding="UTF-8"?>
2<!DOCTYPE book PUBLIC "-//OASIS//DTD DocBook MathML Module V1.1b1//EN"
3 "http://www.oasis-open.org/docbook/xml/mathml/1.1CR1/dbmathml.dtd">
4<refentry id="gluProject">
5 <refmeta>
6 <refmetainfo>
7 <copyright>
8 <year>1991-2006</year>
9 <holder>Silicon Graphics, Inc.</holder>
10 </copyright>
11 </refmetainfo>
12 <refentrytitle>gluProject</refentrytitle>
13 <manvolnum>3G</manvolnum>
14 </refmeta>
15 <refnamediv>
16 <refname>gluProject</refname>
17 <refpurpose>map object coordinates to window coordinates</refpurpose>
18 </refnamediv>
19 <refsynopsisdiv><title>C Specification</title>
20 <funcsynopsis>
21 <funcprototype>
22 <funcdef>GLint <function>gluProject</function></funcdef>
23 <paramdef>GLdouble <parameter>objX</parameter></paramdef>
24 <paramdef>GLdouble <parameter>objY</parameter></paramdef>
25 <paramdef>GLdouble <parameter>objZ</parameter></paramdef>
26 <paramdef>const GLdouble * <parameter>model</parameter></paramdef>
27 <paramdef>const GLdouble * <parameter>proj</parameter></paramdef>
28 <paramdef>const GLint * <parameter>view</parameter></paramdef>
29 <paramdef>GLdouble* <parameter>winX</parameter></paramdef>
30 <paramdef>GLdouble* <parameter>winY</parameter></paramdef>
31 <paramdef>GLdouble* <parameter>winZ</parameter></paramdef>
32 </funcprototype>
33 </funcsynopsis>
34 </refsynopsisdiv>
35 <!-- eqn: ignoring delim $$ -->
36 <refsect1 id="parameters"><title>Parameters</title>
37 <variablelist>
38 <varlistentry>
39 <term><parameter>objX</parameter></term>
40 <term><parameter>objY</parameter></term>
41 <term><parameter>objZ</parameter></term>
42 <listitem>
43 <para>
44 Specify the object coordinates.
45 </para>
46 </listitem>
47 </varlistentry>
48 <varlistentry>
49 <term><parameter>model</parameter></term>
50 <listitem>
51 <para>
52 Specifies the current modelview matrix (as from a <citerefentry><refentrytitle>glGetDoublev</refentrytitle></citerefentry> call).
53 </para>
54 </listitem>
55 </varlistentry>
56 <varlistentry>
57 <term><parameter>proj</parameter></term>
58 <listitem>
59 <para>
60 Specifies the current projection matrix (as from a <citerefentry><refentrytitle>glGetDoublev</refentrytitle></citerefentry> call).
61 </para>
62 </listitem>
63 </varlistentry>
64 <varlistentry>
65 <term><parameter>view</parameter></term>
66 <listitem>
67 <para>
68 Specifies the current viewport (as from a <citerefentry><refentrytitle>glGetIntegerv</refentrytitle></citerefentry> call).
69 </para>
70 </listitem>
71 </varlistentry>
72 <varlistentry>
73 <term><parameter>winX</parameter></term>
74 <term><parameter>winY</parameter></term>
75 <term><parameter>winZ</parameter></term>
76 <listitem>
77 <para>
78 Return the computed window coordinates.
79 </para>
80 </listitem>
81 </varlistentry>
82 </variablelist>
83 </refsect1>
84 <refsect1 id="description"><title>Description</title>
85 <para>
86 <function>gluProject</function> transforms the specified object coordinates into window coordinates
87 using <parameter>model</parameter>, <parameter>proj</parameter>, and <parameter>view</parameter>. The result is stored
88 in <parameter>winX</parameter>, <parameter>winY</parameter>, and <parameter>winZ</parameter>. A return value of
89 <constant>GLU_TRUE</constant> indicates success, a return value of <constant>GLU_FALSE</constant>
90 indicates failure.
91 </para>
92 <para>
93 To compute the coordinates,
94 let
95 <inlineequation><mml:math>
96 <!-- eqn: v = (objX, objY, objZ, 1.0):-->
97 <mml:mrow>
98 <mml:mi mathvariant="italic">v</mml:mi>
99 <mml:mo>=</mml:mo>
100 <mml:mfenced open="(" close=")">
101 <mml:mi mathvariant="italic">objX</mml:mi>
102 <mml:mi mathvariant="italic">objY</mml:mi>
103 <mml:mi mathvariant="italic">objZ</mml:mi>
104 <mml:mn>1.0</mml:mn>
105 </mml:mfenced>
106 </mml:mrow>
107 </mml:math></inlineequation>
108 represented as a matrix with 4 rows and 1 column.
109 Then <function>gluProject</function> computes
110 <inlineequation><mml:math>
111 <!-- eqn: v sup prime:-->
112 <mml:msup><mml:mi mathvariant="italic">v</mml:mi>
113 <mml:mo>&Prime;</mml:mo>
114 </mml:msup>
115 </mml:math></inlineequation>
116 as follows:
117 </para>
118 <para>
119 <informalequation><mml:math>
120 <!-- eqn: v sup prime = P times M times v:-->
121 <mml:mrow>
122 <mml:msup><mml:mi mathvariant="italic">v</mml:mi>
123 <mml:mo>&Prime;</mml:mo>
124 </mml:msup>
125 <mml:mo>=</mml:mo>
126 <mml:mrow>
127 <mml:mi mathvariant="italic">P</mml:mi>
128 <mml:mo>&times;</mml:mo>
129 <mml:mi mathvariant="italic">M</mml:mi>
130 <mml:mo>&times;</mml:mo>
131 <mml:mi mathvariant="italic">v</mml:mi>
132 </mml:mrow>
133 </mml:mrow>
134 </mml:math></informalequation>
135 </para>
136 <para>
137 where
138 <inlineequation><mml:math><mml:mi mathvariant="italic">P</mml:mi></mml:math></inlineequation>
139 is the current projection matrix <parameter>proj</parameter> and
140 <inlineequation><mml:math><mml:mi mathvariant="italic">M</mml:mi></mml:math></inlineequation>
141 is the current
142 modelview matrix <parameter>model</parameter> (both represented as
143 <inlineequation><mml:math>
144 <!-- eqn: 4 times 4:-->
145 <mml:mrow>
146 <mml:mn>4</mml:mn>
147 <mml:mo>&times;</mml:mo>
148 <mml:mn>4</mml:mn>
149 </mml:mrow>
150 </mml:math></inlineequation>
151 matrices in column-major order).
152 </para>
153 <para>
154 The window coordinates are then computed as follows:
155 </para>
156 <para>
157 <informalequation><mml:math>
158 <!-- eqn: winX = view (0) + view (2) * (v sup prime (0) + 1) / 2:-->
159 <mml:mrow>
160 <mml:mi mathvariant="italic">winX</mml:mi>
161 <mml:mo>=</mml:mo>
162 <mml:mrow>
163 <mml:mrow>
164 <mml:mi mathvariant="italic">view</mml:mi>
165 <mml:mo>&af;</mml:mo>
166 <mml:mfenced open="(" close=")">
167 <mml:mn>0</mml:mn>
168 </mml:mfenced>
169 </mml:mrow>
170 <mml:mo>+</mml:mo>
171 <mml:mfrac>
172 <mml:mrow>
173 <mml:mrow>
174 <mml:mi mathvariant="italic">view</mml:mi>
175 <mml:mo>&af;</mml:mo>
176 <mml:mfenced open="(" close=")">
177 <mml:mn>2</mml:mn>
178 </mml:mfenced>
179 </mml:mrow>
180 <mml:mo>&times;</mml:mo>
181 <mml:mfenced open="(" close=")">
182 <mml:mrow>
183 <mml:mrow>
184 <mml:msup><mml:mi mathvariant="italic">v</mml:mi>
185 <mml:mo>&Prime;</mml:mo>
186 </mml:msup>
187 <mml:mo>&af;</mml:mo>
188 <mml:mfenced open="(" close=")">
189 <mml:mn>0</mml:mn>
190 </mml:mfenced>
191 </mml:mrow>
192 <mml:mo>+</mml:mo>
193 <mml:mn>1</mml:mn>
194 </mml:mrow>
195 </mml:mfenced>
196 </mml:mrow>
197 <mml:mn>2</mml:mn>
198 </mml:mfrac>
199 </mml:mrow>
200 </mml:mrow>
201 </mml:math></informalequation>
202 <para>
203 <informalequation><mml:math>
204 <!-- eqn: winY = view (1) + view (3) * (v sup prime (1) + 1) / 2:-->
205 <mml:mrow>
206 <mml:mi mathvariant="italic">winY</mml:mi>
207 <mml:mo>=</mml:mo>
208 <mml:mrow>
209 <mml:mrow>
210 <mml:mi mathvariant="italic">view</mml:mi>
211 <mml:mo>&af;</mml:mo>
212 <mml:mfenced open="(" close=")">
213 <mml:mn>1</mml:mn>
214 </mml:mfenced>
215 </mml:mrow>
216 <mml:mo>+</mml:mo>
217 <mml:mfrac>
218 <mml:mrow>
219 <mml:mrow>
220 <mml:mi mathvariant="italic">view</mml:mi>
221 <mml:mo>&af;</mml:mo>
222 <mml:mfenced open="(" close=")">
223 <mml:mn>3</mml:mn>
224 </mml:mfenced>
225 </mml:mrow>
226 <mml:mo>&times;</mml:mo>
227 <mml:mfenced open="(" close=")">
228 <mml:mrow>
229 <mml:mrow>
230 <mml:msup><mml:mi mathvariant="italic">v</mml:mi>
231 <mml:mo>&Prime;</mml:mo>
232 </mml:msup>
233 <mml:mo>&af;</mml:mo>
234 <mml:mfenced open="(" close=")">
235 <mml:mn>1</mml:mn>
236 </mml:mfenced>
237 </mml:mrow>
238 <mml:mo>+</mml:mo>
239 <mml:mn>1</mml:mn>
240 </mml:mrow>
241 </mml:mfenced>
242 </mml:mrow>
243 <mml:mn>2</mml:mn>
244 </mml:mfrac>
245 </mml:mrow>
246 </mml:mrow>
247 </mml:math></informalequation>
248 </para>
249 <para>
250 <informalequation><mml:math>
251 <!-- eqn: winZ = (v sup prime (2) + 1) / 2:-->
252 <mml:mrow>
253 <mml:mi mathvariant="italic">winZ</mml:mi>
254 <mml:mo>=</mml:mo>
255 <mml:mfrac>
256 <mml:mfenced open="(" close=")">
257 <mml:mrow>
258 <mml:mrow>
259 <mml:msup><mml:mi mathvariant="italic">v</mml:mi>
260 <mml:mo>&Prime;</mml:mo>
261 </mml:msup>
262 <mml:mo>&af;</mml:mo>
263 <mml:mfenced open="(" close=")">
264 <mml:mn>2</mml:mn>
265 </mml:mfenced>
266 </mml:mrow>
267 <mml:mo>+</mml:mo>
268 <mml:mn>1</mml:mn>
269 </mml:mrow>
270 </mml:mfenced>
271 <mml:mn>2</mml:mn>
272 </mml:mfrac>
273 </mml:mrow>
274 </mml:math></informalequation>
275 </para>
276 </para>
277 <para>
278 </para>
279 </refsect1>
280 <refsect1 id="seealso"><title>See Also</title>
281 <para>
282 <citerefentry><refentrytitle>gluUnProject</refentrytitle></citerefentry>,
283 <citerefentry><refentrytitle>glGet</refentrytitle></citerefentry>
284 </para>
285 </refsect1>
286 <refsect1 id="Copyright"><title>Copyright</title>
287 <para>
288 Copyright <trademark class="copyright"></trademark> 1991-2006
289 Silicon Graphics, Inc. This document is licensed under the SGI
290 Free Software B License. For details, see
291 <ulink url="http://oss.sgi.com/projects/FreeB/">http://oss.sgi.com/projects/FreeB/</ulink>.
292 </para>
293 </refsect1>
294</refentry>