206 lines
11 KiB
C++
206 lines
11 KiB
C++
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///////////////////////////////////////////////////////////////////////////////////
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/// OpenGL Mathematics (glm.g-truc.net)
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///
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/// Copyright (c) 2005 - 2015 G-Truc Creation (www.g-truc.net)
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/// Permission is hereby granted, free of charge, to any person obtaining a copy
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/// of this software and associated documentation files (the "Software"), to deal
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/// in the Software without restriction, including without limitation the rights
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/// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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/// copies of the Software, and to permit persons to whom the Software is
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/// furnished to do so, subject to the following conditions:
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///
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/// The above copyright notice and this permission notice shall be included in
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/// all copies or substantial portions of the Software.
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///
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/// Restrictions:
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/// By making use of the Software for military purposes, you choose to make
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/// a Bunny unhappy.
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///
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/// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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/// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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/// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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/// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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/// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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/// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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/// THE SOFTWARE.
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///
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/// @ref core
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/// @file glm/detail/func_trigonometric.hpp
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/// @date 2008-08-01 / 2011-06-15
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/// @author Christophe Riccio
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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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#pragma once
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#include "setup.hpp"
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#include "precision.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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL GLM_CONSTEXPR vecType<T, P> radians(vecType<T, P> const & degrees);
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/// Converts radians to degrees and returns the result.
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///
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/// @tparam genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL GLM_CONSTEXPR vecType<T, P> degrees(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> sin(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> cos(vecType<T, P> const & angle);
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/// The standard trigonometric tangent function.
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///
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/// @tparam genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> tan(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> asin(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> acos(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> atan(vecType<T, P> const & y, vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> atan(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> sinh(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> cosh(vecType<T, P> const & angle);
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/// Returns the hyperbolic tangent function, sinh(angle) / cosh(angle)
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///
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/// @tparam genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> tanh(vecType<T, P> const & angle);
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/// Arc hyperbolic sine; returns the inverse of sinh.
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///
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/// @tparam genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> asinh(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> acosh(vecType<T, P> 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 genType Floating-point scalar or vector types.
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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 <typename T, precision P, template <typename, precision> class vecType>
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GLM_FUNC_DECL vecType<T, P> atanh(vecType<T, P> const & x);
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/// @}
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}//namespace glm
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#include "func_trigonometric.inl"
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