177 lines
9.2 KiB
C++
177 lines
9.2 KiB
C++
|
/// @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"
|