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1 /// @ref core
2 /// @file glm/detail/func_common.hpp
3 ///
4 /// @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>
5 ///
6 /// @defgroup core_func_common Common functions
7 /// @ingroup core
8 ///
9 /// These all operate component-wise. The description is per component.
10 
11 #pragma once
12 
13 #include "setup.hpp"
14 #include "precision.hpp"
15 #include "type_int.hpp"
16 #include "_fixes.hpp"
17 
18 namespace glm
19 {
20 	/// @addtogroup core_func_common
21 	/// @{
22 
23 	/// Returns x if x >= 0; otherwise, it returns -x.
24 	///
25 	/// @tparam genType floating-point or signed integer; scalar or vector types.
26 	///
27 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/abs.xml">GLSL abs man page</a>
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 	template <typename genType>
30 	GLM_FUNC_DECL genType abs(genType x);
31 
32 	template <typename T, precision P, template <typename, precision> class vecType>
33 	GLM_FUNC_DECL vecType<T, P> abs(vecType<T, P> const & x);
34 
35 	/// Returns 1.0 if x > 0, 0.0 if x == 0, or -1.0 if x < 0.
36 	///
37 	/// @tparam genType Floating-point or signed integer; scalar or vector types.
38 	///
39 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sign.xml">GLSL sign man page</a>
40 	/// @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>
41 	template <typename T, precision P, template <typename, precision> class vecType>
42 	GLM_FUNC_DECL vecType<T, P> sign(vecType<T, P> const & x);
43 
44 	/// Returns a value equal to the nearest integer that is less then or equal to x.
45 	///
46 	/// @tparam genType Floating-point scalar or vector types.
47 	///
48 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floor.xml">GLSL floor man page</a>
49 	/// @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>
50 	template <typename T, precision P, template <typename, precision> class vecType>
51 	GLM_FUNC_DECL vecType<T, P> floor(vecType<T, P> const & x);
52 
53 	/// Returns a value equal to the nearest integer to x
54 	/// whose absolute value is not larger than the absolute value of x.
55 	///
56 	/// @tparam genType Floating-point scalar or vector types.
57 	///
58 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/trunc.xml">GLSL trunc man page</a>
59 	/// @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>
60 	template <typename T, precision P, template <typename, precision> class vecType>
61 	GLM_FUNC_DECL vecType<T, P> trunc(vecType<T, P> const & x);
62 
63 	/// Returns a value equal to the nearest integer to x.
64 	/// The fraction 0.5 will round in a direction chosen by the
65 	/// implementation, presumably the direction that is fastest.
66 	/// This includes the possibility that round(x) returns the
67 	/// same value as roundEven(x) for all values of x.
68 	///
69 	/// @tparam genType Floating-point scalar or vector types.
70 	///
71 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/round.xml">GLSL round 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 T, precision P, template <typename, precision> class vecType>
74 	GLM_FUNC_DECL vecType<T, P> round(vecType<T, P> const & x);
75 
76 	/// Returns a value equal to the nearest integer to x.
77 	/// A fractional part of 0.5 will round toward the nearest even
78 	/// integer. (Both 3.5 and 4.5 for x will return 4.0.)
79 	///
80 	/// @tparam genType Floating-point scalar or vector types.
81 	///
82 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/roundEven.xml">GLSL roundEven man page</a>
83 	/// @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>
84 	/// @see <a href="http://developer.amd.com/documentation/articles/pages/New-Round-to-Even-Technique.aspx">New round to even technique</a>
85 	template <typename T, precision P, template <typename, precision> class vecType>
86 	GLM_FUNC_DECL vecType<T, P> roundEven(vecType<T, P> const & x);
87 
88 	/// Returns a value equal to the nearest integer
89 	/// that is greater than or equal to x.
90 	///
91 	/// @tparam genType Floating-point scalar or vector types.
92 	///
93 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ceil.xml">GLSL ceil man page</a>
94 	/// @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>
95 	template <typename T, precision P, template <typename, precision> class vecType>
96 	GLM_FUNC_DECL vecType<T, P> ceil(vecType<T, P> const & x);
97 
98 	/// Return x - floor(x).
99 	///
100 	/// @tparam genType Floating-point scalar or vector types.
101 	///
102 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fract.xml">GLSL fract man page</a>
103 	/// @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>
104 	template <typename genType>
105 	GLM_FUNC_DECL genType fract(genType x);
106 
107 	template <typename T, precision P, template <typename, precision> class vecType>
108 	GLM_FUNC_DECL vecType<T, P> fract(vecType<T, P> const & x);
109 
110 	/// Modulus. Returns x - y * floor(x / y)
111 	/// for each component in x using the floating point value y.
112 	///
113 	/// @tparam genType Floating-point scalar or vector types.
114 	///
115 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mod.xml">GLSL mod man page</a>
116 	/// @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>
117 	template <typename genType>
118 	GLM_FUNC_DECL genType mod(genType x, genType y);
119 
120 	template <typename T, precision P, template <typename, precision> class vecType>
121 	GLM_FUNC_DECL vecType<T, P> mod(vecType<T, P> const & x, T y);
122 
123 	template <typename T, precision P, template <typename, precision> class vecType>
124 	GLM_FUNC_DECL vecType<T, P> mod(vecType<T, P> const & x, vecType<T, P> const & y);
125 
126 	/// Returns the fractional part of x and sets i to the integer
127 	/// part (as a whole number floating point value). Both the
128 	/// return value and the output parameter will have the same
129 	/// sign as x.
130 	///
131 	/// @tparam genType Floating-point scalar or vector types.
132 	///
133 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/modf.xml">GLSL modf man page</a>
134 	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.3 Common Functions</a>
135 	template <typename genType>
136 	GLM_FUNC_DECL genType modf(genType x, genType & i);
137 
138 	/// Returns y if y < x; otherwise, it returns x.
139 	///
140 	/// @tparam genType Floating-point or integer; scalar or vector types.
141 	///
142 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/min.xml">GLSL min man page</a>
143 	/// @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>
144 	template <typename genType>
145 	GLM_FUNC_DECL genType min(genType x, genType y);
146 
147 	template <typename T, precision P, template <typename, precision> class vecType>
148 	GLM_FUNC_DECL vecType<T, P> min(vecType<T, P> const & x, T y);
149 
150 	template <typename T, precision P, template <typename, precision> class vecType>
151 	GLM_FUNC_DECL vecType<T, P> min(vecType<T, P> const & x, vecType<T, P> const & y);
152 
153 	/// Returns y if x < y; otherwise, it returns x.
154 	///
155 	/// @tparam genType Floating-point or integer; scalar or vector types.
156 	///
157 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/max.xml">GLSL max man page</a>
158 	/// @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>
159 	template <typename genType>
160 	GLM_FUNC_DECL genType max(genType x, genType y);
161 
162 	template <typename T, precision P, template <typename, precision> class vecType>
163 	GLM_FUNC_DECL vecType<T, P> max(vecType<T, P> const & x, T y);
164 
165 	template <typename T, precision P, template <typename, precision> class vecType>
166 	GLM_FUNC_DECL vecType<T, P> max(vecType<T, P> const & x, vecType<T, P> const & y);
167 
168 	/// Returns min(max(x, minVal), maxVal) for each component in x
169 	/// using the floating-point values minVal and maxVal.
170 	///
171 	/// @tparam genType Floating-point or integer; scalar or vector types.
172 	///
173 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/clamp.xml">GLSL clamp man page</a>
174 	/// @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>
175 	template <typename genType>
176 	GLM_FUNC_DECL genType clamp(genType x, genType minVal, genType maxVal);
177 
178 	template <typename T, precision P, template <typename, precision> class vecType>
179 	GLM_FUNC_DECL vecType<T, P> clamp(vecType<T, P> const & x, T minVal, T maxVal);
180 
181 	template <typename T, precision P, template <typename, precision> class vecType>
182 	GLM_FUNC_DECL vecType<T, P> clamp(vecType<T, P> const & x, vecType<T, P> const & minVal, vecType<T, P> const & maxVal);
183 
184 	/// If genTypeU is a floating scalar or vector:
185 	/// Returns x * (1.0 - a) + y * a, i.e., the linear blend of
186 	/// x and y using the floating-point value a.
187 	/// The value for a is not restricted to the range [0, 1].
188 	///
189 	/// If genTypeU is a boolean scalar or vector:
190 	/// Selects which vector each returned component comes
191 	/// from. For a component of <a> that is false, the
192 	/// corresponding component of x is returned. For a
193 	/// component of a that is true, the corresponding
194 	/// component of y is returned. Components of x and y that
195 	/// are not selected are allowed to be invalid floating point
196 	/// values and will have no effect on the results. Thus, this
197 	/// provides different functionality than
198 	/// genType mix(genType x, genType y, genType(a))
199 	/// where a is a Boolean vector.
200 	///
201 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/mix.xml">GLSL mix man page</a>
202 	/// @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>
203 	///
204 	/// @param[in]  x Value to interpolate.
205 	/// @param[in]  y Value to interpolate.
206 	/// @param[in]  a Interpolant.
207 	///
208 	/// @tparam	genTypeT Floating point scalar or vector.
209 	/// @tparam genTypeU Floating point or boolean scalar or vector. It can't be a vector if it is the length of genTypeT.
210 	///
211 	/// @code
212 	/// #include <glm/glm.hpp>
213 	/// ...
214 	/// float a;
215 	/// bool b;
216 	/// glm::dvec3 e;
217 	/// glm::dvec3 f;
218 	/// glm::vec4 g;
219 	/// glm::vec4 h;
220 	/// ...
221 	/// glm::vec4 r = glm::mix(g, h, a); // Interpolate with a floating-point scalar two vectors.
222 	/// glm::vec4 s = glm::mix(g, h, b); // Teturns g or h;
223 	/// glm::dvec3 t = glm::mix(e, f, a); // Types of the third parameter is not required to match with the first and the second.
224 	/// glm::vec4 u = glm::mix(g, h, r); // Interpolations can be perform per component with a vector for the last parameter.
225 	/// @endcode
226 	template <typename T, typename U, precision P, template <typename, precision> class vecType>
227 	GLM_FUNC_DECL vecType<T, P> mix(vecType<T, P> const & x, vecType<T, P> const & y, vecType<U, P> const & a);
228 
229 	template <typename T, typename U, precision P, template <typename, precision> class vecType>
230 	GLM_FUNC_DECL vecType<T, P> mix(vecType<T, P> const & x, vecType<T, P> const & y, U a);
231 
232 	template <typename genTypeT, typename genTypeU>
233 	GLM_FUNC_DECL genTypeT mix(genTypeT x, genTypeT y, genTypeU a);
234 
235 	/// Returns 0.0 if x < edge, otherwise it returns 1.0 for each component of a genType.
236 	///
237 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/step.xml">GLSL step man page</a>
238 	/// @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>
239 	template <typename genType>
240 	GLM_FUNC_DECL genType step(genType edge, genType x);
241 
242 	/// Returns 0.0 if x < edge, otherwise it returns 1.0.
243 	///
244 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/step.xml">GLSL step man page</a>
245 	/// @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>
246 	template <template <typename, precision> class vecType, typename T, precision P>
247 	GLM_FUNC_DECL vecType<T, P> step(T edge, vecType<T, P> const & x);
248 
249 	/// Returns 0.0 if x < edge, otherwise it returns 1.0.
250 	///
251 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/step.xml">GLSL step man page</a>
252 	/// @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>
253 	template <template <typename, precision> class vecType, typename T, precision P>
254 	GLM_FUNC_DECL vecType<T, P> step(vecType<T, P> const & edge, vecType<T, P> const & x);
255 
256 	/// Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and
257 	/// performs smooth Hermite interpolation between 0 and 1
258 	/// when edge0 < x < edge1. This is useful in cases where
259 	/// you would want a threshold function with a smooth
260 	/// transition. This is equivalent to:
261 	/// genType t;
262 	/// t = clamp ((x - edge0) / (edge1 - edge0), 0, 1);
263 	/// return t * t * (3 - 2 * t);
264 	/// Results are undefined if edge0 >= edge1.
265 	///
266 	/// @tparam genType Floating-point scalar or vector types.
267 	///
268 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/smoothstep.xml">GLSL smoothstep man page</a>
269 	/// @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>
270 	template <typename genType>
271 	GLM_FUNC_DECL genType smoothstep(genType edge0, genType edge1, genType x);
272 
273 	template <typename T, precision P, template <typename, precision> class vecType>
274 	GLM_FUNC_DECL vecType<T, P> smoothstep(T edge0, T edge1, vecType<T, P> const & x);
275 
276 	template <typename T, precision P, template <typename, precision> class vecType>
277 	GLM_FUNC_DECL vecType<T, P> smoothstep(vecType<T, P> const & edge0, vecType<T, P> const & edge1, vecType<T, P> const & x);
278 
279 	/// Returns true if x holds a NaN (not a number)
280 	/// representation in the underlying implementation's set of
281 	/// floating point representations. Returns false otherwise,
282 	/// including for implementations with no NaN
283 	/// representations.
284 	///
285 	/// /!\ When using compiler fast math, this function may fail.
286 	///
287 	/// @tparam genType Floating-point scalar or vector types.
288 	///
289 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isnan.xml">GLSL isnan man page</a>
290 	/// @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>
291 	template <typename T, precision P, template <typename, precision> class vecType>
292 	GLM_FUNC_DECL vecType<bool, P> isnan(vecType<T, P> const & x);
293 
294 	/// Returns true if x holds a positive infinity or negative
295 	/// infinity representation in the underlying implementation's
296 	/// set of floating point representations. Returns false
297 	/// otherwise, including for implementations with no infinity
298 	/// representations.
299 	///
300 	/// @tparam genType Floating-point scalar or vector types.
301 	///
302 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/isinf.xml">GLSL isinf man page</a>
303 	/// @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>
304 	template <typename T, precision P, template <typename, precision> class vecType>
305 	GLM_FUNC_DECL vecType<bool, P> isinf(vecType<T, P> const & x);
306 
307 	/// Returns a signed integer value representing
308 	/// the encoding of a floating-point value. The floating-point
309 	/// value's bit-level representation is preserved.
310 	///
311 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToInt.xml">GLSL floatBitsToInt man page</a>
312 	/// @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>
313 	GLM_FUNC_DECL int floatBitsToInt(float const & v);
314 
315 	/// Returns a signed integer value representing
316 	/// the encoding of a floating-point value. The floatingpoint
317 	/// value's bit-level representation is preserved.
318 	///
319 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToInt.xml">GLSL floatBitsToInt man page</a>
320 	/// @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>
321 	template <template <typename, precision> class vecType, precision P>
322 	GLM_FUNC_DECL vecType<int, P> floatBitsToInt(vecType<float, P> const & v);
323 
324 	/// Returns a unsigned integer value representing
325 	/// the encoding of a floating-point value. The floatingpoint
326 	/// value's bit-level representation is preserved.
327 	///
328 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToUint.xml">GLSL floatBitsToUint man page</a>
329 	/// @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>
330 	GLM_FUNC_DECL uint floatBitsToUint(float const & v);
331 
332 	/// Returns a unsigned integer value representing
333 	/// the encoding of a floating-point value. The floatingpoint
334 	/// value's bit-level representation is preserved.
335 	///
336 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/floatBitsToUint.xml">GLSL floatBitsToUint man page</a>
337 	/// @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>
338 	template <template <typename, precision> class vecType, precision P>
339 	GLM_FUNC_DECL vecType<uint, P> floatBitsToUint(vecType<float, P> const & v);
340 
341 	/// Returns a floating-point value corresponding to a signed
342 	/// integer encoding of a floating-point value.
343 	/// If an inf or NaN is passed in, it will not signal, and the
344 	/// resulting floating point value is unspecified. Otherwise,
345 	/// the bit-level representation is preserved.
346 	///
347 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/intBitsToFloat.xml">GLSL intBitsToFloat man page</a>
348 	/// @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>
349 	GLM_FUNC_DECL float intBitsToFloat(int const & v);
350 
351 	/// Returns a floating-point value corresponding to a signed
352 	/// integer encoding of a floating-point value.
353 	/// If an inf or NaN is passed in, it will not signal, and the
354 	/// resulting floating point value is unspecified. Otherwise,
355 	/// the bit-level representation is preserved.
356 	///
357 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/intBitsToFloat.xml">GLSL intBitsToFloat man page</a>
358 	/// @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>
359 	template <template <typename, precision> class vecType, precision P>
360 	GLM_FUNC_DECL vecType<float, P> intBitsToFloat(vecType<int, P> const & v);
361 
362 	/// Returns a floating-point value corresponding to a
363 	/// unsigned integer encoding of a floating-point value.
364 	/// If an inf or NaN is passed in, it will not signal, and the
365 	/// resulting floating point value is unspecified. Otherwise,
366 	/// the bit-level representation is preserved.
367 	///
368 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uintBitsToFloat.xml">GLSL uintBitsToFloat man page</a>
369 	/// @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>
370 	GLM_FUNC_DECL float uintBitsToFloat(uint const & v);
371 
372 	/// Returns a floating-point value corresponding to a
373 	/// unsigned integer encoding of a floating-point value.
374 	/// If an inf or NaN is passed in, it will not signal, and the
375 	/// resulting floating point value is unspecified. Otherwise,
376 	/// the bit-level representation is preserved.
377 	///
378 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/uintBitsToFloat.xml">GLSL uintBitsToFloat man page</a>
379 	/// @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>
380 	template <template <typename, precision> class vecType, precision P>
381 	GLM_FUNC_DECL vecType<float, P> uintBitsToFloat(vecType<uint, P> const & v);
382 
383 	/// Computes and returns a * b + c.
384 	///
385 	/// @tparam genType Floating-point scalar or vector types.
386 	///
387 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/fma.xml">GLSL fma man page</a>
388 	/// @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>
389 	template <typename genType>
390 	GLM_FUNC_DECL genType fma(genType const & a, genType const & b, genType const & c);
391 
392 	/// Splits x into a floating-point significand in the range
393 	/// [0.5, 1.0) and an integral exponent of two, such that:
394 	/// x = significand * exp(2, exponent)
395 	///
396 	/// The significand is returned by the function and the
397 	/// exponent is returned in the parameter exp. For a
398 	/// floating-point value of zero, the significant and exponent
399 	/// are both zero. For a floating-point value that is an
400 	/// infinity or is not a number, the results are undefined.
401 	///
402 	/// @tparam genType Floating-point scalar or vector types.
403 	///
404 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/frexp.xml">GLSL frexp man page</a>
405 	/// @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>
406 	template <typename genType, typename genIType>
407 	GLM_FUNC_DECL genType frexp(genType const & x, genIType & exp);
408 
409 	/// Builds a floating-point number from x and the
410 	/// corresponding integral exponent of two in exp, returning:
411 	/// significand * exp(2, exponent)
412 	///
413 	/// If this product is too large to be represented in the
414 	/// floating-point type, the result is undefined.
415 	///
416 	/// @tparam genType Floating-point scalar or vector types.
417 	///
418 	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/ldexp.xml">GLSL ldexp man page</a>;
419 	/// @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>
420 	template <typename genType, typename genIType>
421 	GLM_FUNC_DECL genType ldexp(genType const & x, genIType const & exp);
422 
423 	/// @}
424 }//namespace glm
425 
426 #include "func_common.inl"
427 
428