1///////////////////////////////////////////////////////////////////////////////////
2/// OpenGL Mathematics (glm.g-truc.net)
3///
4/// Copyright (c) 2005 - 2014 G-Truc Creation (www.g-truc.net)
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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///
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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
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19/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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21/// THE SOFTWARE.
22///
23/// @ref core
24/// @file glm/core/func_exponential.hpp
25/// @date 2008-08-08 / 2011-06-14
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 8.2 Exponential Functions</a>
29///
30/// @defgroup core_func_exponential Exponential functions
31/// @ingroup core
32///
33/// These all operate component-wise. The description is per component.
34///////////////////////////////////////////////////////////////////////////////////
35
36#ifndef glm_core_func_exponential
37#define glm_core_func_exponential
38
39#include "type_vec1.hpp"
40#include "type_vec2.hpp"
41#include "type_vec3.hpp"
42#include "type_vec4.hpp"
43#include <cmath>
44
45namespace glm
46{
47	/// @addtogroup core_func_exponential
48	/// @{
49
50	/// Returns 'base' raised to the power 'exponent'.
51	///
52	/// @param base Floating point value. pow function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision.
53	/// @param exponent Floating point value representing the 'exponent'.
54	/// @tparam genType Floating-point scalar or vector types.
55	///
56	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/pow.xml">GLSL pow man page</a>
57	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a>
58	template <typename genType>
59	GLM_FUNC_DECL genType pow(genType const & base, genType const & exponent);
60
61	/// Returns the natural exponentiation of x, i.e., e^x.
62	///
63	/// @param x exp function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision.
64	/// @tparam genType Floating-point scalar or vector types.
65	///
66	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/exp.xml">GLSL exp man page</a>
67	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a>
68	template <typename genType>
69	GLM_FUNC_DECL genType exp(genType const & x);
70
71	/// Returns the natural logarithm of x, i.e.,
72	/// returns the value y which satisfies the equation x = e^y.
73	/// Results are undefined if x <= 0.
74	///
75	/// @param x log function is defined for input values of x defined in the range (0, inf+) in the limit of the type precision.
76	/// @tparam genType Floating-point scalar or vector types.
77	///
78	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/log.xml">GLSL log man page</a>
79	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a>
80	template <typename genType>
81	GLM_FUNC_DECL genType log(genType const & x);
82
83	/// Returns 2 raised to the x power.
84	///
85	/// @param x exp2 function is defined for input values of x defined in the range (inf-, inf+) in the limit of the type precision.
86	/// @tparam genType Floating-point scalar or vector types.
87	///
88	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/exp2.xml">GLSL exp2 man page</a>
89	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a>
90	template <typename genType>
91	GLM_FUNC_DECL genType exp2(genType const & x);
92
93	/// Returns the base 2 log of x, i.e., returns the value y,
94	/// which satisfies the equation x = 2 ^ y.
95	///
96	/// @param x log2 function is defined for input values of x defined in the range (0, inf+) in the limit of the type precision.
97	/// @tparam genType Floating-point scalar or vector types.
98	///
99	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/log2.xml">GLSL log2 man page</a>
100	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a>
101	template <typename genType>
102	GLM_FUNC_DECL genType log2(genType x);
103
104	/// Returns the positive square root of x.
105	///
106	/// @param x sqrt function is defined for input values of x defined in the range [0, inf+) in the limit of the type precision.
107	/// @tparam genType Floating-point scalar or vector types.
108	///
109	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sqrt.xml">GLSL sqrt man page</a>
110	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a>
111	//template <typename genType>
112	//GLM_FUNC_DECL genType sqrt(genType const & x);
113
114	template <typename T, precision P, template <typename, precision> class vecType>
115	GLM_FUNC_DECL vecType<T, P> sqrt(vecType<T, P> const & x);
116
117	/// Returns the reciprocal of the positive square root of x.
118	///
119	/// @param x inversesqrt function is defined for input values of x defined in the range [0, inf+) in the limit of the type precision.
120	/// @tparam genType Floating-point scalar or vector types.
121	///
122	/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/inversesqrt.xml">GLSL inversesqrt man page</a>
123	/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.2 Exponential Functions</a>
124	template <typename genType>
125	GLM_FUNC_DECL genType inversesqrt(genType const & x);
126
127	/// @}
128}//namespace glm
129
130#include "func_exponential.inl"
131
132#endif//glm_core_func_exponential
133