/// @ref core /// @file glm/detail/func_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. #pragma once #include "setup.hpp" #include "precision.hpp" namespace glm { /// @addtogroup core_func_trigonometric /// @{ /// Converts degrees to radians and returns the result. /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL GLM_CONSTEXPR vecType<T, P> radians(vecType<T, P> const & degrees); /// Converts radians to degrees and returns the result. /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL GLM_CONSTEXPR vecType<T, P> degrees(vecType<T, P> const & radians); /// The standard trigonometric sine function. /// The values returned by this function will range from [-1, 1]. /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> sin(vecType<T, P> const & angle); /// The standard trigonometric cosine function. /// The values returned by this function will range from [-1, 1]. /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> cos(vecType<T, P> const & angle); /// The standard trigonometric tangent function. /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> tan(vecType<T, P> 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 genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> asin(vecType<T, P> 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 genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> acos(vecType<T, P> 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 genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> atan(vecType<T, P> const & y, vecType<T, P> 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 genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> atan(vecType<T, P> const & y_over_x); /// Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2 /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> sinh(vecType<T, P> const & angle); /// Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2 /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> cosh(vecType<T, P> const & angle); /// Returns the hyperbolic tangent function, sinh(angle) / cosh(angle) /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> tanh(vecType<T, P> const & angle); /// Arc hyperbolic sine; returns the inverse of sinh. /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> asinh(vecType<T, P> const & x); /// Arc hyperbolic cosine; returns the non-negative inverse /// of cosh. Results are undefined if x < 1. /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> acosh(vecType<T, P> const & x); /// Arc hyperbolic tangent; returns the inverse of tanh. /// Results are undefined if abs(x) >= 1. /// /// @tparam genType Floating-point scalar or vector types. /// /// @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 <typename T, precision P, template <typename, precision> class vecType> GLM_FUNC_DECL vecType<T, P> atanh(vecType<T, P> const & x); /// @} }//namespace glm #include "func_trigonometric.inl"