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authorLaG1924 <12997935+LaG1924@users.noreply.github.com>2018-01-13 03:51:33 +0100
committerLaG1924 <12997935+LaG1924@users.noreply.github.com>2018-01-13 03:51:34 +0100
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parentBackported to C++14 (diff)
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+/// @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"