211 lines
10 KiB
C++
211 lines
10 KiB
C++
/// @ref core
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/// @file glm/trigonometric.hpp
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///
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/// @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>
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///
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/// @defgroup core_func_trigonometric Angle and Trigonometry Functions
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/// @ingroup core
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///
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/// Function parameters specified as angle are assumed to be in units of radians.
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/// In no case will any of these functions result in a divide by zero error. If
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/// the divisor of a ratio is 0, then results will be undefined.
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///
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/// These all operate component-wise. The description is per component.
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///
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/// Include <glm/trigonometric.hpp> to use these core features.
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///
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/// @see ext_vector_trigonometric
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#pragma once
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#include "detail/setup.hpp"
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#include "detail/qualifier.hpp"
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namespace glm
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{
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/// @addtogroup core_func_trigonometric
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/// @{
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/// Converts degrees to radians and returns the result.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/radians.xml">GLSL radians man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL GLM_CONSTEXPR vec<L, T, Q> radians(vec<L, T, Q> const& degrees);
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/// Converts radians to degrees and returns the result.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/degrees.xml">GLSL degrees man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL GLM_CONSTEXPR vec<L, T, Q> degrees(vec<L, T, Q> const& radians);
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/// The standard trigonometric sine function.
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/// The values returned by this function will range from [-1, 1].
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sin.xml">GLSL sin man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> sin(vec<L, T, Q> const& angle);
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/// The standard trigonometric cosine function.
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/// The values returned by this function will range from [-1, 1].
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cos.xml">GLSL cos man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> cos(vec<L, T, Q> const& angle);
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/// The standard trigonometric tangent function.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tan.xml">GLSL tan man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> tan(vec<L, T, Q> const& angle);
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/// Arc sine. Returns an angle whose sine is x.
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/// The range of values returned by this function is [-PI/2, PI/2].
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/// Results are undefined if |x| > 1.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asin.xml">GLSL asin man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> asin(vec<L, T, Q> const& x);
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/// Arc cosine. Returns an angle whose sine is x.
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/// The range of values returned by this function is [0, PI].
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/// Results are undefined if |x| > 1.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acos.xml">GLSL acos man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> acos(vec<L, T, Q> const& x);
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/// Arc tangent. Returns an angle whose tangent is y/x.
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/// The signs of x and y are used to determine what
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/// quadrant the angle is in. The range of values returned
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/// by this function is [-PI, PI]. Results are undefined
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/// if x and y are both 0.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> atan(vec<L, T, Q> const& y, vec<L, T, Q> const& x);
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/// Arc tangent. Returns an angle whose tangent is y_over_x.
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/// The range of values returned by this function is [-PI/2, PI/2].
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atan.xml">GLSL atan man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> atan(vec<L, T, Q> const& y_over_x);
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/// Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/sinh.xml">GLSL sinh man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> sinh(vec<L, T, Q> const& angle);
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/// Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/cosh.xml">GLSL cosh man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> cosh(vec<L, T, Q> const& angle);
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/// Returns the hyperbolic tangent function, sinh(angle) / cosh(angle)
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/tanh.xml">GLSL tanh man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> tanh(vec<L, T, Q> const& angle);
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/// Arc hyperbolic sine; returns the inverse of sinh.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/asinh.xml">GLSL asinh man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> asinh(vec<L, T, Q> const& x);
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/// Arc hyperbolic cosine; returns the non-negative inverse
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/// of cosh. Results are undefined if x < 1.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/acosh.xml">GLSL acosh man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> acosh(vec<L, T, Q> const& x);
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/// Arc hyperbolic tangent; returns the inverse of tanh.
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/// Results are undefined if abs(x) >= 1.
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///
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/// @tparam L Integer between 1 and 4 included that qualify the dimension of the vector
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/// @tparam T Floating-point scalar types
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/// @tparam Q Value from qualifier enum
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///
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/// @see <a href="http://www.opengl.org/sdk/docs/manglsl/xhtml/atanh.xml">GLSL atanh man page</a>
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/// @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>
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template<length_t L, typename T, qualifier Q>
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GLM_FUNC_DECL vec<L, T, Q> atanh(vec<L, T, Q> const& x);
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/// @}
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}//namespace glm
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#include "detail/func_trigonometric.inl"
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