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1 ///////////////////////////////////////////////////////////////////////////////////
2 /// OpenGL Mathematics (glm.g-truc.net)
3 ///
4 /// Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
5 /// Permission is hereby granted, free of charge, to any person obtaining a copy
6 /// of this software and associated documentation files (the "Software"), to deal
7 /// in the Software without restriction, including without limitation the rights
8 /// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
9 /// copies of the Software, and to permit persons to whom the Software is
10 /// furnished to do so, subject to the following conditions:
11 ///
12 /// The above copyright notice and this permission notice shall be included in
13 /// all copies or substantial portions of the Software.
14 ///
15 /// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
16 /// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
17 /// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
18 /// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
19 /// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
20 /// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
21 /// THE SOFTWARE.
22 ///
23 /// @ref gtc_packing
24 /// @file glm/gtc/packing.hpp
25 /// @date 2013-08-08 / 2013-08-08
26 /// @author Christophe Riccio
27 ///
28 /// @see core (dependence)
29 ///
30 /// @defgroup gtc_packing GLM_GTC_packing
31 /// @ingroup gtc
32 ///
33 /// @brief This extension provides a set of function to convert vertors to packed
34 /// formats.
35 ///
36 /// <glm/gtc/packing.hpp> need to be included to use these features.
37 ///////////////////////////////////////////////////////////////////////////////////
38 
39 #ifndef GLM_GTC_packing
40 #define GLM_GTC_packing
41 
42 // Dependency:
43 #include "type_precision.hpp"
44 
45 #if(defined(GLM_MESSAGES) && !defined(GLM_EXT_INCLUDED))
46 #	pragma message("GLM: GLM_GTC_packing extension included")
47 #endif
48 
49 namespace glm
50 {
51 	/// @addtogroup gtc_packing
52 	/// @{
53 
54 	/// First, converts the normalized floating-point value v into a 8-bit integer value.
55 	/// Then, the results are packed into the returned 8-bit unsigned integer.
56 	///
57 	/// The conversion for component c of v to fixed point is done as follows:
58 	/// packUnorm1x8:	round(clamp(c, 0, +1) * 255.0)
59 	///
60 	/// @see gtc_packing
61 	/// @see uint16 packUnorm2x8(vec2 const & v)
62 	/// @see uint32 packUnorm4x8(vec4 const & v)
63 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packUnorm4x8.xml">GLSL packUnorm4x8 man page</a>
64 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
65 	GLM_FUNC_DECL uint8 packUnorm1x8(float const & v);
66 
67 	/// Convert a single 8-bit integer to a normalized floating-point value.
68 	///
69 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
70 	/// unpackUnorm4x8: f / 255.0
71 	///
72 	/// @see gtc_packing
73 	/// @see vec2 unpackUnorm2x8(uint16 p)
74 	/// @see vec4 unpackUnorm4x8(uint32 p)
75 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackUnorm4x8.xml">GLSL unpackUnorm4x8 man page</a>
76 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
77 	GLM_FUNC_DECL float unpackUnorm1x8(uint8 const & p);
78 
79 	/// First, converts each component of the normalized floating-point value v into 8-bit integer values.
80 	/// Then, the results are packed into the returned 16-bit unsigned integer.
81 	///
82 	/// The conversion for component c of v to fixed point is done as follows:
83 	/// packUnorm2x8:	round(clamp(c, 0, +1) * 255.0)
84 	///
85 	/// The first component of the vector will be written to the least significant bits of the output;
86 	/// the last component will be written to the most significant bits.
87 	///
88 	/// @see gtc_packing
89 	/// @see uint8 packUnorm1x8(float const & v)
90 	/// @see uint32 packUnorm4x8(vec4 const & v)
91 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packUnorm4x8.xml">GLSL packUnorm4x8 man page</a>
92 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
93 	GLM_FUNC_DECL uint16 packUnorm2x8(vec2 const & v);
94 
95 	/// First, unpacks a single 16-bit unsigned integer p into a pair of 8-bit unsigned integers.
96 	/// Then, each component is converted to a normalized floating-point value to generate the returned two-component vector.
97 	///
98 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
99 	/// unpackUnorm4x8: f / 255.0
100 	///
101 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
102 	/// the last component will be extracted from the most significant bits.
103 	///
104 	/// @see gtc_packing
105 	/// @see float unpackUnorm1x8(uint8 v)
106 	/// @see vec4 unpackUnorm4x8(uint32 p)
107 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackUnorm4x8.xml">GLSL unpackUnorm4x8 man page</a>
108 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
109 	GLM_FUNC_DECL vec2 unpackUnorm2x8(uint16 const & p);
110 
111 	/// First, converts the normalized floating-point value v into 8-bit integer value.
112 	/// Then, the results are packed into the returned 8-bit unsigned integer.
113 	///
114 	/// The conversion to fixed point is done as follows:
115 	/// packSnorm1x8:	round(clamp(s, -1, +1) * 127.0)
116 	///
117 	/// @see gtc_packing
118 	/// @see uint16 packSnorm2x8(vec2 const & v)
119 	/// @see uint32 packSnorm4x8(vec4 const & v)
120 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packSnorm4x8.xml">GLSL packSnorm4x8 man page</a>
121 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
122 	GLM_FUNC_DECL uint8 packSnorm1x8(float const & s);
123 
124 	/// First, unpacks a single 8-bit unsigned integer p into a single 8-bit signed integers.
125 	/// Then, the value is converted to a normalized floating-point value to generate the returned scalar.
126 	///
127 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
128 	/// unpackSnorm1x8: clamp(f / 127.0, -1, +1)
129 	///
130 	/// @see gtc_packing
131 	/// @see vec2 unpackSnorm2x8(uint16 p)
132 	/// @see vec4 unpackSnorm4x8(uint32 p)
133 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackSnorm4x8.xml">GLSL unpackSnorm4x8 man page</a>
134 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
135 	GLM_FUNC_DECL float unpackSnorm1x8(uint8 const & p);
136 
137 	/// First, converts each component of the normalized floating-point value v into 8-bit integer values.
138 	/// Then, the results are packed into the returned 16-bit unsigned integer.
139 	///
140 	/// The conversion for component c of v to fixed point is done as follows:
141 	/// packSnorm2x8:	round(clamp(c, -1, +1) * 127.0)
142 	///
143 	/// The first component of the vector will be written to the least significant bits of the output;
144 	/// the last component will be written to the most significant bits.
145 	///
146 	/// @see gtc_packing
147 	/// @see uint8 packSnorm1x8(float const & v)
148 	/// @see uint32 packSnorm4x8(vec4 const & v)
149 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packSnorm4x8.xml">GLSL packSnorm4x8 man page</a>
150 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
151 	GLM_FUNC_DECL uint16 packSnorm2x8(vec2 const & v);
152 
153 	/// First, unpacks a single 16-bit unsigned integer p into a pair of 8-bit signed integers.
154 	/// Then, each component is converted to a normalized floating-point value to generate the returned two-component vector.
155 	///
156 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
157 	/// unpackSnorm2x8: clamp(f / 127.0, -1, +1)
158 	///
159 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
160 	/// the last component will be extracted from the most significant bits.
161 	///
162 	/// @see gtc_packing
163 	/// @see float unpackSnorm1x8(uint8 p)
164 	/// @see vec4 unpackSnorm4x8(uint32 p)
165 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackSnorm4x8.xml">GLSL unpackSnorm4x8 man page</a>
166 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
167 	GLM_FUNC_DECL vec2 unpackSnorm2x8(uint16 const & p);
168 
169 	/// First, converts the normalized floating-point value v into a 16-bit integer value.
170 	/// Then, the results are packed into the returned 16-bit unsigned integer.
171 	///
172 	/// The conversion for component c of v to fixed point is done as follows:
173 	/// packUnorm1x16:	round(clamp(c, 0, +1) * 65535.0)
174 	///
175 	/// @see gtc_packing
176 	/// @see uint16 packSnorm1x16(float const & v)
177 	/// @see uint64 packSnorm4x16(vec4 const & v)
178 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packUnorm4x8.xml">GLSL packUnorm4x8 man page</a>
179 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
180 	GLM_FUNC_DECL uint16 packUnorm1x16(float const & v);
181 
182 	/// First, unpacks a single 16-bit unsigned integer p into a of 16-bit unsigned integers.
183 	/// Then, the value is converted to a normalized floating-point value to generate the returned scalar.
184 	///
185 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
186 	/// unpackUnorm1x16: f / 65535.0
187 	///
188 	/// @see gtc_packing
189 	/// @see vec2 unpackUnorm2x16(uint32 p)
190 	/// @see vec4 unpackUnorm4x16(uint64 p)
191 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackUnorm2x16.xml">GLSL unpackUnorm2x16 man page</a>
192 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
193 	GLM_FUNC_DECL float unpackUnorm1x16(uint16 const & p);
194 
195 	/// First, converts each component of the normalized floating-point value v into 16-bit integer values.
196 	/// Then, the results are packed into the returned 64-bit unsigned integer.
197 	///
198 	/// The conversion for component c of v to fixed point is done as follows:
199 	/// packUnorm4x16:	round(clamp(c, 0, +1) * 65535.0)
200 	///
201 	/// The first component of the vector will be written to the least significant bits of the output;
202 	/// the last component will be written to the most significant bits.
203 	///
204 	/// @see gtc_packing
205 	/// @see uint16 packUnorm1x16(float const & v)
206 	/// @see uint32 packUnorm2x16(vec2 const & v)
207 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packUnorm4x8.xml">GLSL packUnorm4x8 man page</a>
208 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
209 	GLM_FUNC_DECL uint64 packUnorm4x16(vec4 const & v);
210 
211 	/// First, unpacks a single 64-bit unsigned integer p into four 16-bit unsigned integers.
212 	/// Then, each component is converted to a normalized floating-point value to generate the returned four-component vector.
213 	///
214 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
215 	/// unpackUnormx4x16: f / 65535.0
216 	///
217 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
218 	/// the last component will be extracted from the most significant bits.
219 	///
220 	/// @see gtc_packing
221 	/// @see float unpackUnorm1x16(uint16 p)
222 	/// @see vec2 unpackUnorm2x16(uint32 p)
223 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackUnorm2x16.xml">GLSL unpackUnorm2x16 man page</a>
224 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
225 	GLM_FUNC_DECL vec4 unpackUnorm4x16(uint64 const & p);
226 
227 	/// First, converts the normalized floating-point value v into 16-bit integer value.
228 	/// Then, the results are packed into the returned 16-bit unsigned integer.
229 	///
230 	/// The conversion to fixed point is done as follows:
231 	/// packSnorm1x8:	round(clamp(s, -1, +1) * 32767.0)
232 	///
233 	/// @see gtc_packing
234 	/// @see uint32 packSnorm2x16(vec2 const & v)
235 	/// @see uint64 packSnorm4x16(vec4 const & v)
236 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packSnorm4x8.xml">GLSL packSnorm4x8 man page</a>
237 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
238 	GLM_FUNC_DECL uint16 packSnorm1x16(float const & v);
239 
240 	/// First, unpacks a single 16-bit unsigned integer p into a single 16-bit signed integers.
241 	/// Then, each component is converted to a normalized floating-point value to generate the returned scalar.
242 	///
243 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
244 	/// unpackSnorm1x16: clamp(f / 32767.0, -1, +1)
245 	///
246 	/// @see gtc_packing
247 	/// @see vec2 unpackSnorm2x16(uint32 p)
248 	/// @see vec4 unpackSnorm4x16(uint64 p)
249 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackSnorm1x16.xml">GLSL unpackSnorm4x8 man page</a>
250 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
251 	GLM_FUNC_DECL float unpackSnorm1x16(uint16 const & p);
252 
253 	/// First, converts each component of the normalized floating-point value v into 16-bit integer values.
254 	/// Then, the results are packed into the returned 64-bit unsigned integer.
255 	///
256 	/// The conversion for component c of v to fixed point is done as follows:
257 	/// packSnorm2x8:	round(clamp(c, -1, +1) * 32767.0)
258 	///
259 	/// The first component of the vector will be written to the least significant bits of the output;
260 	/// the last component will be written to the most significant bits.
261 	///
262 	/// @see gtc_packing
263 	/// @see uint16 packSnorm1x16(float const & v)
264 	/// @see uint32 packSnorm2x16(vec2 const & v)
265 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packSnorm4x8.xml">GLSL packSnorm4x8 man page</a>
266 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
267 	GLM_FUNC_DECL uint64 packSnorm4x16(vec4 const & v);
268 
269 	/// First, unpacks a single 64-bit unsigned integer p into four 16-bit signed integers.
270 	/// Then, each component is converted to a normalized floating-point value to generate the returned four-component vector.
271 	///
272 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
273 	/// unpackSnorm4x16: clamp(f / 32767.0, -1, +1)
274 	///
275 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
276 	/// the last component will be extracted from the most significant bits.
277 	///
278 	/// @see gtc_packing
279 	/// @see float unpackSnorm1x16(uint16 p)
280 	/// @see vec2 unpackSnorm2x16(uint32 p)
281 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackSnorm2x16.xml">GLSL unpackSnorm4x8 man page</a>
282 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
283 	GLM_FUNC_DECL vec4 unpackSnorm4x16(uint64 const & p);
284 
285 	/// Returns an unsigned integer obtained by converting the components of a floating-point scalar
286 	/// to the 16-bit floating-point representation found in the OpenGL Specification,
287 	/// and then packing this 16-bit value into a 16-bit unsigned integer.
288 	///
289 	/// @see gtc_packing
290 	/// @see uint32 packHalf2x16(vec2 const & v)
291 	/// @see uint64 packHalf4x16(vec4 const & v)
292 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packHalf2x16.xml">GLSL packHalf2x16 man page</a>
293 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
294 	GLM_FUNC_DECL uint16 packHalf1x16(float const & v);
295 
296 	/// Returns a floating-point scalar with components obtained by unpacking a 16-bit unsigned integer into a 16-bit value,
297 	/// interpreted as a 16-bit floating-point number according to the OpenGL Specification,
298 	/// and converting it to 32-bit floating-point values.
299 	///
300 	/// @see gtc_packing
301 	/// @see vec2 unpackHalf2x16(uint32 const & v)
302 	/// @see vec4 unpackHalf4x16(uint64 const & v)
303 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackHalf2x16.xml">GLSL unpackHalf2x16 man page</a>
304 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
305 	GLM_FUNC_DECL float unpackHalf1x16(uint16 const & v);
306 
307 	/// Returns an unsigned integer obtained by converting the components of a four-component floating-point vector
308 	/// to the 16-bit floating-point representation found in the OpenGL Specification,
309 	/// and then packing these four 16-bit values into a 64-bit unsigned integer.
310 	/// The first vector component specifies the 16 least-significant bits of the result;
311 	/// the forth component specifies the 16 most-significant bits.
312 	///
313 	/// @see gtc_packing
314 	/// @see uint16 packHalf1x16(float const & v)
315 	/// @see uint32 packHalf2x16(vec2 const & v)
316 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/packHalf2x16.xml">GLSL packHalf2x16 man page</a>
317 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
318 	GLM_FUNC_DECL uint64 packHalf4x16(vec4 const & v);
319 
320 	/// Returns a four-component floating-point vector with components obtained by unpacking a 64-bit unsigned integer into four 16-bit values,
321 	/// interpreting those values as 16-bit floating-point numbers according to the OpenGL Specification,
322 	/// and converting them to 32-bit floating-point values.
323 	/// The first component of the vector is obtained from the 16 least-significant bits of v;
324 	/// the forth component is obtained from the 16 most-significant bits of v.
325 	///
326 	/// @see gtc_packing
327 	/// @see float unpackHalf1x16(uint16 const & v)
328 	/// @see vec2 unpackHalf2x16(uint32 const & v)
329 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/unpackHalf2x16.xml">GLSL unpackHalf2x16 man page</a>
330 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.4 Floating-Point Pack and Unpack Functions</a>
331 	GLM_FUNC_DECL vec4 unpackHalf4x16(uint64 const & p);
332 
333 	/// Returns an unsigned integer obtained by converting the components of a four-component signed integer vector
334 	/// to the 10-10-10-2-bit signed integer representation found in the OpenGL Specification,
335 	/// and then packing these four values into a 32-bit unsigned integer.
336 	/// The first vector component specifies the 10 least-significant bits of the result;
337 	/// the forth component specifies the 2 most-significant bits.
338 	///
339 	/// @see gtc_packing
340 	/// @see uint32 packI3x10_1x2(uvec4 const & v)
341 	/// @see uint32 packSnorm3x10_1x2(vec4 const & v)
342 	/// @see uint32 packUnorm3x10_1x2(vec4 const & v)
343 	/// @see ivec4 unpackI3x10_1x2(uint32 const & p)
344 	GLM_FUNC_DECL uint32 packI3x10_1x2(ivec4 const & v);
345 
346 	/// Unpacks a single 32-bit unsigned integer p into three 10-bit and one 2-bit signed integers.
347 	///
348 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
349 	/// the last component will be extracted from the most significant bits.
350 	///
351 	/// @see gtc_packing
352 	/// @see uint32 packU3x10_1x2(uvec4 const & v)
353 	/// @see vec4 unpackSnorm3x10_1x2(uint32 const & p);
354 	/// @see uvec4 unpackI3x10_1x2(uint32 const & p);
355 	GLM_FUNC_DECL ivec4 unpackI3x10_1x2(uint32 const & p);
356 
357 	/// Returns an unsigned integer obtained by converting the components of a four-component unsigned integer vector
358 	/// to the 10-10-10-2-bit unsigned integer representation found in the OpenGL Specification,
359 	/// and then packing these four values into a 32-bit unsigned integer.
360 	/// The first vector component specifies the 10 least-significant bits of the result;
361 	/// the forth component specifies the 2 most-significant bits.
362 	///
363 	/// @see gtc_packing
364 	/// @see uint32 packI3x10_1x2(ivec4 const & v)
365 	/// @see uint32 packSnorm3x10_1x2(vec4 const & v)
366 	/// @see uint32 packUnorm3x10_1x2(vec4 const & v)
367 	/// @see ivec4 unpackU3x10_1x2(uint32 const & p)
368 	GLM_FUNC_DECL uint32 packU3x10_1x2(uvec4 const & v);
369 
370 	/// Unpacks a single 32-bit unsigned integer p into three 10-bit and one 2-bit unsigned integers.
371 	///
372 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
373 	/// the last component will be extracted from the most significant bits.
374 	///
375 	/// @see gtc_packing
376 	/// @see uint32 packU3x10_1x2(uvec4 const & v)
377 	/// @see vec4 unpackSnorm3x10_1x2(uint32 const & p);
378 	/// @see uvec4 unpackI3x10_1x2(uint32 const & p);
379 	GLM_FUNC_DECL uvec4 unpackU3x10_1x2(uint32 const & p);
380 
381 	/// First, converts the first three components of the normalized floating-point value v into 10-bit signed integer values.
382 	/// Then, converts the forth component of the normalized floating-point value v into 2-bit signed integer values.
383 	/// Then, the results are packed into the returned 32-bit unsigned integer.
384 	///
385 	/// The conversion for component c of v to fixed point is done as follows:
386 	/// packSnorm3x10_1x2(xyz):	round(clamp(c, -1, +1) * 511.0)
387 	/// packSnorm3x10_1x2(w):	round(clamp(c, -1, +1) * 1.0)
388 	///
389 	/// The first vector component specifies the 10 least-significant bits of the result;
390 	/// the forth component specifies the 2 most-significant bits.
391 	///
392 	/// @see gtc_packing
393 	/// @see vec4 unpackSnorm3x10_1x2(uint32 const & p)
394 	/// @see uint32 packUnorm3x10_1x2(vec4 const & v)
395 	/// @see uint32 packU3x10_1x2(uvec4 const & v)
396 	/// @see uint32 packI3x10_1x2(ivec4 const & v)
397 	GLM_FUNC_DECL uint32 packSnorm3x10_1x2(vec4 const & v);
398 
399 	/// First, unpacks a single 32-bit unsigned integer p into four 16-bit signed integers.
400 	/// Then, each component is converted to a normalized floating-point value to generate the returned four-component vector.
401 	///
402 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
403 	/// unpackSnorm3x10_1x2(xyz): clamp(f / 511.0, -1, +1)
404 	/// unpackSnorm3x10_1x2(w): clamp(f / 511.0, -1, +1)
405 	///
406 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
407 	/// the last component will be extracted from the most significant bits.
408 	///
409 	/// @see gtc_packing
410 	/// @see uint32 packSnorm3x10_1x2(vec4 const & v)
411 	/// @see vec4 unpackUnorm3x10_1x2(uint32 const & p))
412 	/// @see uvec4 unpackI3x10_1x2(uint32 const & p)
413 	/// @see uvec4 unpackU3x10_1x2(uint32 const & p)
414 	GLM_FUNC_DECL vec4 unpackSnorm3x10_1x2(uint32 const & p);
415 
416 	/// First, converts the first three components of the normalized floating-point value v into 10-bit unsigned integer values.
417 	/// Then, converts the forth component of the normalized floating-point value v into 2-bit signed uninteger values.
418 	/// Then, the results are packed into the returned 32-bit unsigned integer.
419 	///
420 	/// The conversion for component c of v to fixed point is done as follows:
421 	/// packUnorm3x10_1x2(xyz):	round(clamp(c, 0, +1) * 1023.0)
422 	/// packUnorm3x10_1x2(w):	round(clamp(c, 0, +1) * 3.0)
423 	///
424 	/// The first vector component specifies the 10 least-significant bits of the result;
425 	/// the forth component specifies the 2 most-significant bits.
426 	///
427 	/// @see gtc_packing
428 	/// @see vec4 unpackUnorm3x10_1x2(uint32 const & p)
429 	/// @see uint32 packUnorm3x10_1x2(vec4 const & v)
430 	/// @see uint32 packU3x10_1x2(uvec4 const & v)
431 	/// @see uint32 packI3x10_1x2(ivec4 const & v)
432 	GLM_FUNC_DECL uint32 packUnorm3x10_1x2(vec4 const & v);
433 
434 	/// First, unpacks a single 32-bit unsigned integer p into four 16-bit signed integers.
435 	/// Then, each component is converted to a normalized floating-point value to generate the returned four-component vector.
436 	///
437 	/// The conversion for unpacked fixed-point value f to floating point is done as follows:
438 	/// unpackSnorm3x10_1x2(xyz): clamp(f / 1023.0, 0, +1)
439 	/// unpackSnorm3x10_1x2(w): clamp(f / 3.0, 0, +1)
440 	///
441 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
442 	/// the last component will be extracted from the most significant bits.
443 	///
444 	/// @see gtc_packing
445 	/// @see uint32 packSnorm3x10_1x2(vec4 const & v)
446 	/// @see vec4 unpackInorm3x10_1x2(uint32 const & p))
447 	/// @see uvec4 unpackI3x10_1x2(uint32 const & p)
448 	/// @see uvec4 unpackU3x10_1x2(uint32 const & p)
449 	GLM_FUNC_DECL vec4 unpackUnorm3x10_1x2(uint32 const & p);
450 
451 	/// First, converts the first two components of the normalized floating-point value v into 11-bit signless floating-point values.
452 	/// Then, converts the third component of the normalized floating-point value v into a 10-bit signless floating-point value.
453 	/// Then, the results are packed into the returned 32-bit unsigned integer.
454 	///
455 	/// The first vector component specifies the 11 least-significant bits of the result;
456 	/// the last component specifies the 10 most-significant bits.
457 	///
458 	/// @see gtc_packing
459 	/// @see vec3 unpackF2x11_1x10(uint32 const & p)
460 	GLM_FUNC_DECL uint32 packF2x11_1x10(vec3 const & v);
461 
462 	/// First, unpacks a single 32-bit unsigned integer p into two 11-bit signless floating-point values and one 10-bit signless floating-point value .
463 	/// Then, each component is converted to a normalized floating-point value to generate the returned three-component vector.
464 	///
465 	/// The first component of the returned vector will be extracted from the least significant bits of the input;
466 	/// the last component will be extracted from the most significant bits.
467 	///
468 	/// @see gtc_packing
469 	/// @see uint32 packF2x11_1x10(vec3 const & v)
470 	GLM_FUNC_DECL vec3 unpackF2x11_1x10(uint32 const & p);
471 
472 	/// @}
473 }// namespace glm
474 
475 #include "packing.inl"
476 
477 #endif//GLM_GTC_packing
478 
479