1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
|
/// @ref core
/// @file glm/trigonometric.hpp
///
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
///
/// @defgroup core_func_trigonometric Angle and Trigonometry Functions
/// @ingroup core
///
/// Function parameters specified as angle are assumed to be in units of radians.
/// In no case will any of these functions result in a divide by zero error. If
/// the divisor of a ratio is 0, then results will be undefined.
///
/// These all operate component-wise. The description is per component.
///
/// Include <glm/trigonometric.hpp> to use these core features.
///
/// @see ext_vector_trigonometric
#pragma once
#include "detail/setup.hpp"
#include "detail/qualifier.hpp"
namespace glm
{
/// @addtogroup core_func_trigonometric
/// @{
/// Converts degrees to radians and returns the result.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/radians.xml">GLSL radians man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL GLM_CONSTEXPR vec<L, T, Q> radians(vec<L, T, Q> const& degrees);
/// Converts radians to degrees and returns the result.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/degrees.xml">GLSL degrees man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL GLM_CONSTEXPR vec<L, T, Q> degrees(vec<L, T, Q> const& radians);
/// The standard trigonometric sine function.
/// The values returned by this function will range from [-1, 1].
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sin.xml">GLSL sin man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> sin(vec<L, T, Q> const& angle);
/// The standard trigonometric cosine function.
/// The values returned by this function will range from [-1, 1].
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cos.xml">GLSL cos man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> cos(vec<L, T, Q> const& angle);
/// The standard trigonometric tangent function.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tan.xml">GLSL tan man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> tan(vec<L, T, Q> const& angle);
/// Arc sine. Returns an angle whose sine is x.
/// The range of values returned by this function is [-PI/2, PI/2].
/// Results are undefined if |x| > 1.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asin.xml">GLSL asin man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> asin(vec<L, T, Q> const& x);
/// Arc cosine. Returns an angle whose sine is x.
/// The range of values returned by this function is [0, PI].
/// Results are undefined if |x| > 1.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acos.xml">GLSL acos man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> acos(vec<L, T, Q> const& x);
/// Arc tangent. Returns an angle whose tangent is y/x.
/// The signs of x and y are used to determine what
/// quadrant the angle is in. The range of values returned
/// by this function is [-PI, PI]. Results are undefined
/// if x and y are both 0.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> atan(vec<L, T, Q> const& y, vec<L, T, Q> const& x);
/// Arc tangent. Returns an angle whose tangent is y_over_x.
/// The range of values returned by this function is [-PI/2, PI/2].
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> atan(vec<L, T, Q> const& y_over_x);
/// Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sinh.xml">GLSL sinh man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> sinh(vec<L, T, Q> const& angle);
/// Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cosh.xml">GLSL cosh man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> cosh(vec<L, T, Q> const& angle);
/// Returns the hyperbolic tangent function, sinh(angle) / cosh(angle)
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tanh.xml">GLSL tanh man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> tanh(vec<L, T, Q> const& angle);
/// Arc hyperbolic sine; returns the inverse of sinh.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asinh.xml">GLSL asinh man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> asinh(vec<L, T, Q> const& x);
/// Arc hyperbolic cosine; returns the non-negative inverse
/// of cosh. Results are undefined if x < 1.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acosh.xml">GLSL acosh man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> acosh(vec<L, T, Q> const& x);
/// Arc hyperbolic tangent; returns the inverse of tanh.
/// Results are undefined if abs(x) >= 1.
///
/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
/// @tparam T Floating-point scalar types
/// @tparam Q Value from qualifier enum
///
/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atanh.xml">GLSL atanh man page</a>
/// @see <a href="http://www.opengl.org/registry/doc/GLSLangSpec.4.20.8.pdf">GLSL 4.20.8 specification, section 8.1 Angle and Trigonometry Functions</a>
template<length_t L, typename T, qualifier Q>
GLM_FUNC_DECL vec<L, T, Q> atanh(vec<L, T, Q> const& x);
/// @}
}//namespace glm
#include "detail/func_trigonometric.inl"
|