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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 core
24 /// @file glm/core/func_common.hpp
25 /// @date 2008-03-08 / 2010-01-26
26 /// @author Christophe Riccio
27 ///
28 /// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
29 ///
30 /// @defgroup core_func_common Common functions
31 /// @ingroup core
32 ///
33 /// These all operate component-wise. The description is per component.
34 ///////////////////////////////////////////////////////////////////////////////////
35 
36 #ifndef GLM_FUNC_COMMON_INCLUDED
37 #define GLM_FUNC_COMMON_INCLUDED
38 
39 #include "setup.hpp"
40 #include "precision.hpp"
41 #include "type_int.hpp"
42 #include "_fixes.hpp"
43 
44 namespace glm
45 {
46 	/// @addtogroup core_func_common
47 	/// @{
48 
49 	/// Returns x if x >= 0; otherwise, it returns -x.
50 	///
51 	/// @tparam genType floating-point or signed integer; scalar or vector types.
52 	///
53 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/abs.xml">GLSL abs man page</a>
54 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
55 	template <typename genType>
56 	GLM_FUNC_DECL genType abs(genType const & x);
57 
58 	/// Returns 1.0 if x > 0, 0.0 if x == 0, or -1.0 if x < 0.
59 	///
60 	/// @tparam genType Floating-point or signed integer; scalar or vector types.
61 	///
62 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sign.xml">GLSL sign man page</a>
63 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
64 	template <typename genType>
65 	GLM_FUNC_DECL genType sign(genType const & x);
66 
67 	/// Returns a value equal to the nearest integer that is less then or equal to x.
68 	///
69 	/// @tparam genType Floating-point scalar or vector types.
70 	///
71 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floor.xml">GLSL floor man page</a>
72 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
73 	template <typename genType>
74 	GLM_FUNC_DECL genType floor(genType const & x);
75 
76 	/// Returns a value equal to the nearest integer to x
77 	/// whose absolute value is not larger than the absolute value of x.
78 	///
79 	/// @tparam genType Floating-point scalar or vector types.
80 	///
81 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/trunc.xml">GLSL trunc man page</a>
82 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
83 	template <typename genType>
84 	GLM_FUNC_DECL genType trunc(genType const & x);
85 
86 	/// Returns a value equal to the nearest integer to x.
87 	/// The fraction 0.5 will round in a direction chosen by the
88 	/// implementation, presumably the direction that is fastest.
89 	/// This includes the possibility that round(x) returns the
90 	/// same value as roundEven(x) for all values of x.
91 	///
92 	/// @tparam genType Floating-point scalar or vector types.
93 	///
94 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/round.xml">GLSL round man page</a>
95 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
96 	template <typename genType>
97 	GLM_FUNC_DECL genType round(genType const & x);
98 
99 	/// Returns a value equal to the nearest integer to x.
100 	/// A fractional part of 0.5 will round toward the nearest even
101 	/// integer. (Both 3.5 and 4.5 for x will return 4.0.)
102 	///
103 	/// @tparam genType Floating-point scalar or vector types.
104 	///
105 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/roundEven.xml">GLSL roundEven man page</a>
106 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
107 	/// @see <a href="http://developer.amd.com/documentation/articles/pages/New-Round-to-Even-Technique.aspx">New round to even technique</a>
108 	template <typename genType>
109 	GLM_FUNC_DECL genType roundEven(genType const & x);
110 
111 	/// Returns a value equal to the nearest integer
112 	/// that is greater than or equal to x.
113 	///
114 	/// @tparam genType Floating-point scalar or vector types.
115 	///
116 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ceil.xml">GLSL ceil man page</a>
117 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
118 	template <typename genType>
119 	GLM_FUNC_DECL genType ceil(genType const & x);
120 
121 	/// Return x - floor(x).
122 	///
123 	/// @tparam genType Floating-point scalar or vector types.
124 	///
125 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fract.xml">GLSL fract man page</a>
126 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
127 	template <typename genType>
128 	GLM_FUNC_DECL genType fract(genType const & x);
129 
130 	/// Modulus. Returns x - y * floor(x / y)
131 	/// for each component in x using the floating point value y.
132 	///
133 	/// @tparam genType Floating-point scalar or vector types.
134 	///
135 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
136 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
137 	template <typename genType>
138 	GLM_FUNC_DECL genType mod(
139 		genType const & x,
140 		genType const & y);
141 
142 	/// Modulus. Returns x - y * floor(x / y)
143 	/// for each component in x using the floating point value y.
144 	///
145 	/// @tparam genType Floating-point scalar or vector types.
146 	///
147 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
148 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
149 	template <typename genType>
150 	GLM_FUNC_DECL genType mod(
151 		genType const & x,
152 		typename genType::value_type const & y);
153 
154 	/// Returns the fractional part of x and sets i to the integer
155 	/// part (as a whole number floating point value). Both the
156 	/// return value and the output parameter will have the same
157 	/// sign as x.
158 	///
159 	/// @tparam genType Floating-point scalar or vector types.
160 	///
161 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/modf.xml">GLSL modf man page</a>
162 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
163 	template <typename genType>
164 	GLM_FUNC_DECL genType modf(
165 		genType const & x,
166 		genType & i);
167 
168 	/// Returns y if y < x; otherwise, it returns x.
169 	///
170 	/// @tparam genType Floating-point or integer; scalar or vector types.
171 	///
172 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/min.xml">GLSL min man page</a>
173 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a><<<<<<< HEAD
174 	template <typename genType>
175 	GLM_FUNC_DECL genType min(
176 		genType const & x,
177 		genType const & y);
178 
179 	template <typename genType>
180 	GLM_FUNC_DECL genType min(
181 		genType const & x,
182 		typename genType::value_type const & y);
183 
184 	/// Returns y if x < y; otherwise, it returns x.
185 	///
186 	/// @tparam genType Floating-point or integer; scalar or vector types.
187 	///
188 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/max.xml">GLSL max man page</a>
189 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
190 	template <typename genType>
191 	GLM_FUNC_DECL genType max(
192 		genType const & x,
193 		genType const & y);
194 
195 	template <typename genType>
196 	GLM_FUNC_DECL genType max(
197 		genType const & x,
198 		typename genType::value_type const & y);
199 
200 	/// Returns min(max(x, minVal), maxVal) for each component in x
201 	/// using the floating-point values minVal and maxVal.
202 	///
203 	/// @tparam genType Floating-point or integer; scalar or vector types.
204 	///
205 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/clamp.xml">GLSL clamp man page</a>
206 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
207 	template <typename genType>
208 	GLM_FUNC_DECL genType clamp(
209 		genType const & x,
210 		genType const & minVal,
211 		genType const & maxVal);
212 
213 	template <typename genType, precision P>
214 	GLM_FUNC_DECL genType clamp(
215 		genType const & x,
216 		typename genType::value_type const & minVal,
217 		typename genType::value_type const & maxVal);
218 
219 	/// If genTypeU is a floating scalar or vector:
220 	/// Returns x * (1.0 - a) + y * a, i.e., the linear blend of
221 	/// x and y using the floating-point value a.
222 	/// The value for a is not restricted to the range [0, 1].
223 	///
224 	/// If genTypeU is a boolean scalar or vector:
225 	/// Selects which vector each returned component comes
226 	/// from. For a component of <a> that is false, the
227 	/// corresponding component of x is returned. For a
228 	/// component of a that is true, the corresponding
229 	/// component of y is returned. Components of x and y that
230 	/// are not selected are allowed to be invalid floating point
231 	/// values and will have no effect on the results. Thus, this
232 	/// provides different functionality than
233 	/// genType mix(genType x, genType y, genType(a))
234 	/// where a is a Boolean vector.
235 	///
236 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mix.xml">GLSL mix man page</a>
237 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
238 	///
239 	/// @param[in]  x Value to interpolate.
240 	/// @param[in]  y Value to interpolate.
241 	/// @param[in]  a Interpolant.
242 	///
243 	/// @tparam	genTypeT Floating point scalar or vector.
244 	/// @tparam genTypeU Floating point or boolean scalar or vector. It can't be a vector if it is the length of genTypeT.
245 	///
246 	/// @code
247 	/// #include <glm/glm.hpp>
248 	/// ...
249 	/// float a;
250 	/// bool b;
251 	/// glm::dvec3 e;
252 	/// glm::dvec3 f;
253 	/// glm::vec4 g;
254 	/// glm::vec4 h;
255 	/// ...
256 	/// glm::vec4 r = glm::mix(g, h, a); // Interpolate with a floating-point scalar two vectors.
257 	/// glm::vec4 s = glm::mix(g, h, b); // Teturns g or h;
258 	/// glm::dvec3 t = glm::mix(e, f, a); // Types of the third parameter is not required to match with the first and the second.
259 	/// glm::vec4 u = glm::mix(g, h, r); // Interpolations can be perform per component with a vector for the last parameter.
260 	/// @endcode
261 	template <typename T, typename U, precision P, template <typename, precision> class vecType>
262 	GLM_FUNC_DECL vecType<T, P> mix(
263 		vecType<T, P> const & x,
264 		vecType<T, P> const & y,
265 		vecType<U, P> const & a);
266 
267 	template <typename T, typename U, precision P, template <typename, precision> class vecType>
268 	GLM_FUNC_DECL vecType<T, P> mix(
269 		vecType<T, P> const & x,
270 		vecType<T, P> const & y,
271 		U const & a);
272 
273 	template <typename genTypeT, typename genTypeU>
274 	GLM_FUNC_DECL genTypeT mix(
275 		genTypeT const & x,
276 		genTypeT const & y,
277 		genTypeU const & a);
278 
279 	/// Returns 0.0 if x < edge, otherwise it returns 1.0 for each component of a genType.
280 	///
281 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/step.xml">GLSL step man page</a>
282 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
283 	template <typename genType>
284 	GLM_FUNC_DECL genType step(
285 		genType const & edge,
286 		genType const & x);
287 
288 	/// Returns 0.0 if x < edge, otherwise it returns 1.0.
289 	///
290 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/step.xml">GLSL step man page</a>
291 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
292 	template <template <typename, precision> class vecType, typename T, precision P>
293 	GLM_FUNC_DECL vecType<T, P> step(
294 		T const & edge,
295 		vecType<T, P> const & x);
296 
297 	/// Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and
298 	/// performs smooth Hermite interpolation between 0 and 1
299 	/// when edge0 < x < edge1. This is useful in cases where
300 	/// you would want a threshold function with a smooth
301 	/// transition. This is equivalent to:
302 	/// genType t;
303 	/// t = clamp ((x - edge0) / (edge1 - edge0), 0, 1);
304 	/// return t * t * (3 - 2 * t);
305 	/// Results are undefined if edge0 >= edge1.
306 	///
307 	/// @tparam genType Floating-point scalar or vector types.
308 	///
309 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/smoothstep.xml">GLSL smoothstep man page</a>
310 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
311 	template <typename genType>
312 	GLM_FUNC_DECL genType smoothstep(
313 		genType const & edge0,
314 		genType const & edge1,
315 		genType const & x);
316 
317 	template <typename genType>
318 	GLM_FUNC_DECL genType smoothstep(
319 		typename genType::value_type const & edge0,
320 		typename genType::value_type const & edge1,
321 		genType const & x);
322 
323 	/// Returns true if x holds a NaN (not a number)
324 	/// representation in the underlying implementation's set of
325 	/// floating point representations. Returns false otherwise,
326 	/// including for implementations with no NaN
327 	/// representations.
328 	///
329 	/// /!\ When using compiler fast math, this function may fail.
330 	///
331 	/// @tparam genType Floating-point scalar or vector types.
332 	///
333 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isnan.xml">GLSL isnan man page</a>
334 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
335 	template <typename genType>
336 	GLM_FUNC_DECL typename genType::bool_type isnan(genType const & x);
337 
338 	/// Returns true if x holds a positive infinity or negative
339 	/// infinity representation in the underlying implementation's
340 	/// set of floating point representations. Returns false
341 	/// otherwise, including for implementations with no infinity
342 	/// representations.
343 	///
344 	/// @tparam genType Floating-point scalar or vector types.
345 	///
346 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isinf.xml">GLSL isinf man page</a>
347 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
348 	template <typename genType>
349 	GLM_FUNC_DECL typename genType::bool_type isinf(genType const & x);
350 
351 	/// Returns a signed integer value representing
352 	/// the encoding of a floating-point value. The floating-point
353 	/// value's bit-level representation is preserved.
354 	///
355 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToInt.xml">GLSL floatBitsToInt man page</a>
356 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
357 	GLM_FUNC_DECL int floatBitsToInt(float const & v);
358 
359 	/// Returns a signed integer value representing
360 	/// the encoding of a floating-point value. The floatingpoint
361 	/// value's bit-level representation is preserved.
362 	///
363 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToInt.xml">GLSL floatBitsToInt man page</a>
364 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
365 	template <template <typename, precision> class vecType, precision P>
366 	GLM_FUNC_DECL vecType<int, P> floatBitsToInt(vecType<float, P> const & v);
367 
368 	/// Returns a unsigned integer value representing
369 	/// the encoding of a floating-point value. The floatingpoint
370 	/// value's bit-level representation is preserved.
371 	///
372 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToUint.xml">GLSL floatBitsToUint man page</a>
373 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
374 	GLM_FUNC_DECL uint floatBitsToUint(float const & v);
375 
376 	/// Returns a unsigned integer value representing
377 	/// the encoding of a floating-point value. The floatingpoint
378 	/// value's bit-level representation is preserved.
379 	///
380 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToUint.xml">GLSL floatBitsToUint man page</a>
381 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
382 	template <template <typename, precision> class vecType, precision P>
383 	GLM_FUNC_DECL vecType<uint, P> floatBitsToUint(vecType<float, P> const & v);
384 
385 	/// Returns a floating-point value corresponding to a signed
386 	/// integer encoding of a floating-point value.
387 	/// If an inf or NaN is passed in, it will not signal, and the
388 	/// resulting floating point value is unspecified. Otherwise,
389 	/// the bit-level representation is preserved.
390 	///
391 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/intBitsToFloat.xml">GLSL intBitsToFloat man page</a>
392 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
393 	GLM_FUNC_DECL float intBitsToFloat(int const & v);
394 
395 	/// Returns a floating-point value corresponding to a signed
396 	/// integer encoding of a floating-point value.
397 	/// If an inf or NaN is passed in, it will not signal, and the
398 	/// resulting floating point value is unspecified. Otherwise,
399 	/// the bit-level representation is preserved.
400 	///
401 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/intBitsToFloat.xml">GLSL intBitsToFloat man page</a>
402 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
403 	template <template <typename, precision> class vecType, precision P>
404 	GLM_FUNC_DECL vecType<float, P> intBitsToFloat(vecType<int, P> const & v);
405 
406 	/// Returns a floating-point value corresponding to a
407 	/// unsigned integer encoding of a floating-point value.
408 	/// If an inf or NaN is passed in, it will not signal, and the
409 	/// resulting floating point value is unspecified. Otherwise,
410 	/// the bit-level representation is preserved.
411 	///
412 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uintBitsToFloat.xml">GLSL uintBitsToFloat man page</a>
413 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
414 	GLM_FUNC_DECL float uintBitsToFloat(uint const & v);
415 
416 	/// Returns a floating-point value corresponding to a
417 	/// unsigned integer encoding of a floating-point value.
418 	/// If an inf or NaN is passed in, it will not signal, and the
419 	/// resulting floating point value is unspecified. Otherwise,
420 	/// the bit-level representation is preserved.
421 	///
422 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uintBitsToFloat.xml">GLSL uintBitsToFloat man page</a>
423 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
424 	template <template <typename, precision> class vecType, precision P>
425 	GLM_FUNC_DECL vecType<float, P> uintBitsToFloat(vecType<uint, P> const & v);
426 
427 	/// Computes and returns a * b + c.
428 	///
429 	/// @tparam genType Floating-point scalar or vector types.
430 	///
431 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fma.xml">GLSL fma man page</a>
432 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
433 	template <typename genType>
434 	GLM_FUNC_DECL genType fma(genType const & a, genType const & b, genType const & c);
435 
436 	/// Splits x into a floating-point significand in the range
437 	/// [0.5, 1.0) and an integral exponent of two, such that:
438 	/// x = significand * exp(2, exponent)
439 	///
440 	/// The significand is returned by the function and the
441 	/// exponent is returned in the parameter exp. For a
442 	/// floating-point value of zero, the significant and exponent
443 	/// are both zero. For a floating-point value that is an
444 	/// infinity or is not a number, the results are undefined.
445 	///
446 	/// @tparam genType Floating-point scalar or vector types.
447 	///
448 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/frexp.xml">GLSL frexp man page</a>
449 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
450 	template <typename genType, typename genIType>
451 	GLM_FUNC_DECL genType frexp(genType const & x, genIType & exp);
452 
453 	/// Builds a floating-point number from x and the
454 	/// corresponding integral exponent of two in exp, returning:
455 	/// significand * exp(2, exponent)
456 	///
457 	/// If this product is too large to be represented in the
458 	/// floating-point type, the result is undefined.
459 	///
460 	/// @tparam genType Floating-point scalar or vector types.
461 	///
462 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ldexp.xml">GLSL ldexp man page</a>;
463 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
464 	template <typename genType, typename genIType>
465 	GLM_FUNC_DECL genType ldexp(genType const & x, genIType const & exp);
466 
467 	/// @}
468 }//namespace glm
469 
470 #include "func_common.inl"
471 
472 #endif//GLM_FUNC_COMMON_INCLUDED
473