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203 lines
9.2 KiB
203 lines
9.2 KiB
/////////////////////////////////////////////////////////////////////////////////// |
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/// OpenGL Mathematics (glm.g-truc.net) |
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/// |
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/// Copyright (c) 2005 - 2011 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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/// 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/core/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</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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#ifndef GLM_CORE_func_trigonometric |
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#define GLM_CORE_func_trigonometric GLM_VERSION |
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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</a> |
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template <typename genType> |
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genType radians(genType 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</a> |
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template <typename genType> |
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genType degrees(genType 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</a> |
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template <typename genType> |
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genType sin(genType 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</a> |
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template <typename genType> |
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genType cos(genType 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</a> |
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template <typename genType> |
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genType tan(genType 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</a> |
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template <typename genType> |
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genType asin(genType 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</a> |
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template <typename genType> |
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genType acos(genType 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</a> |
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template <typename genType> |
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genType atan(genType const & y, genType 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</a> |
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template <typename genType> |
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genType atan(genType 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</a> |
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template <typename genType> |
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genType sinh(genType 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</a> |
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template <typename genType> |
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genType cosh(genType 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</a> |
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template <typename genType> |
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genType tanh(genType 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</a> |
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template <typename genType> |
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genType asinh(genType 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</a> |
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template <typename genType> |
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genType acosh(genType 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</a> |
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template <typename genType> |
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genType atanh(genType const & x); |
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/// @} |
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}//namespace glm |
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#include "func_trigonometric.inl" |
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#endif//GLM_CORE_func_trigonometric |
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