#include <fennec/math/detail/_math.h>
#include <fennec/math/vector.h>
#include <fennec/lang/types.h>

Detailed Description

Author: Medusa Slockbower

Copyright: Copyright © 2025 Medusa Slockbower (GPLv3)

Functions
Angle Conversions
template<typename genType >
constexpr genType	fennec::radians (genType degrees)
	Converts \(degrees\) to \(radians\), i.e., \(degrees\cdot\frac{180}{\pi}\).

template<typename genType >
constexpr genType	fennec::degrees (genType radians)
	Converts \(radians\) to \(degrees\), i.e., \(radians\cdot\frac{\pi}{180}\).

Trigonometric Functions
template<typename genType >
constexpr genType	fennec::sin (genType x)
	The standard trigonometric sine.

template<typename genType >
constexpr genType	fennec::cos (genType x)
	The Standard Trigonometric Cosine.

template<typename genType >
constexpr genType	fennec::tan (genType x)
	The Standard Trigonometric Tangent.

Inverse Trigonometric Functions
template<typename genType >
constexpr genType	fennec::asin (genType x)
	Arc Sine. Returns an angle \(\theta\) whose sine is /a x.

template<typename genType >
constexpr genType	fennec::acos (genType x)
	Arc Cosine. Returns an angle \(\theta\) whose cosine is /a x.

template<typename genType >
constexpr genType	fennec::atan (genType y_over_x)
	Arc Tangent. Returns an angle \(\theta\) whose tangent is /a y_over_x.

template<typename genType >
constexpr genType	fennec::atan (genType y, genType x)
	Arc Tangent. Returns an angle whose tangent is \(\frac{y}{x}\).

Hyperbolic Functions
template<typename genType >
constexpr genType	fennec::sinh (genType x)
	Returns the Hyperbolic Sine Function, \(\frac{{e}^{x}-{e}^{-x}}{2}\).

template<typename genType >
constexpr genType	fennec::cosh (genType x)
	Returns the Hyperbolic Cosine Function, \(\frac{{e}^{x}+{e}^{-x}}{2}\).

template<typename genType , size_t... i>
constexpr genType	fennec::tanh (genType x)
	Returns the Hyperbolic Tangent Function, \(\frac{\text{sinh}(x)}{\text{cosh}(x)}\).

Inverse Hyperbolic Functions
template<typename genType , size_t... i>
constexpr genType	fennec::asinh (genType x)
	The Inverse Hyperbolic Sine Function.

template<typename genType , size_t... i>
constexpr genType	fennec::acosh (genType x)
	The Inverse Hyperbolic Cosine Function.

template<typename genType , size_t... i>
constexpr genType	fennec::atanh (genType x)
	The Inverse Hyperbolic Tangent Function.

Function Documentation

◆ radians()

template<typename genType >

constexpr genType fennec::radians ( genType degrees )

constexpr

Returns: the angle \(\theta\) in \(radians\)

Converts \(degrees\) to \(radians\), i.e., \(degrees\cdot\frac{180}{\pi}\)

Template Parameters

genType floating point type

Parameters

degrees the angle \(\theta\) in \(degrees\)

◆ degrees()

template<typename genType >

constexpr genType fennec::degrees ( genType radians )

constexpr

Returns: the angle \(\theta\) in \(degrees\)

Converts \(radians\) to \(degrees\), i.e., \(radians\cdot\frac{\pi}{180}\)

Template Parameters

genType floating point type

Parameters

radians the angle \(\theta\) in \(radians\)

◆ sin()

template<typename genType >

constexpr genType fennec::sin ( genType x )

constexpr

Returns: the sine of \(\theta\) in the range \(\left[-1,\,1\right]\)

The standard trigonometric sine

Template Parameters

genType floating point type

Parameters

x	the angle \(\theta\) in \(radians\)

◆ cos()

template<typename genType >

constexpr genType fennec::cos ( genType x )

constexpr

Returns: the cosine of \(\theta\) in the range \(\left[-1,\,1\right]\)

The Standard Trigonometric Cosine

Template Parameters

genType floating point type

Parameters

x	the angle \(\theta\) in \(radians\)

◆ tan()

template<typename genType >

constexpr genType fennec::tan ( genType x )

constexpr

Returns: The Tangent of \(\theta\) in the Range \(\left[-\inf,\,\inf\right]\)

The Standard Trigonometric Tangent

Template Parameters

genType floating point type

Parameters

x	The Angle \(\theta\) in \(radians\)

◆ asin()

template<typename genType >

constexpr genType fennec::asin ( genType x )

constexpr

Returns: an angle \(\theta\) whose sine is /a x.

Arc Sine. The range of values returned by this functions is \(\left[-\pi/2,\pi/2\right]\). Results are undefined if \(\left|x\right|\,>\,1\).

Template Parameters

genType floating point type

Parameters

x	The Sine Value produced by \(\theta\)

◆ acos()

template<typename genType >

constexpr genType fennec::acos ( genType x )

constexpr

Returns: an angle \(\theta\) whose cosine is /a x.

Arc Cosine. The range of values returned by this functions is \(\left[0,\pi\right]\). Results are undefined if \(\left|x\right|\,>\,1\).

Template Parameters

genType floating point type

Parameters

x	The Cosine Value produced by \(\theta\)

◆ atan() [1/2]

template<typename genType >

constexpr genType fennec::atan ( genType y_over_x )

constexpr

Returns: an angle \(\theta\) whose tangent is /a y_over_x.

Arc Tangent. The range of values returned by this functions is \(\left[\frac{-\pi}{2},\frac{\pi}{2}\right]\). Results are undefined if \(\left|x\right|\,>\,1\).

Template Parameters

genType floating point type

Parameters

y_over_x The Cosine Value produced by \(\theta\)

◆ atan() [2/2]

template<typename genType >

constexpr genType fennec::atan	(	genType	y,
		genType	x
	)

constexpr

Returns: an angle whose tangent is \(\frac{y}{x}\).

Arc Tangent. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this functions is \(\left[-\pi,\pi\right]\)

Template Parameters

genType floating point type

Parameters

y	The Sine Value produced by \(\theta\)
x	The Cosine Value produced by \(\theta\)

◆ sinh()

template<typename genType >

constexpr genType fennec::sinh ( genType x )

constexpr

Returns: The Hyperbolic Sine of \(x\), \(\frac{{e}^{x}-{e}^{-x}}{2}\)

Template Parameters

genType floating point type

Parameters

x	The Hyperbolic Angle \(\alpha\)

◆ cosh()

template<typename genType >

constexpr genType fennec::cosh ( genType x )

constexpr

Returns: The Hyperbolic Cosine of \(x\), \(\frac{{e}^{x}+{e}^{-x}}{2}\)

Parameters

x	The Hyperbolic Angle \(\alpha\)

◆ tanh()

template<typename genType , size_t... i>

constexpr genType fennec::tanh ( genType x )

constexpr

Returns: The Hyperbolic Tangent of \(x\), \(\frac{{e}^{x}+{e}^{-x}}{2}\)

Parameters

x	The Hyperbolic Angle \(\alpha\)

◆ asinh()

template<typename genType , size_t... i>

constexpr genType fennec::asinh ( genType x )

constexpr

Returns: the value \(y\) that fulfills \(x=\text{sinh}(y)\)

The Inverse Hyperbolic Sine Function

Parameters

x	the hyperbolic angle \(\alpha\)

◆ acosh()

template<typename genType , size_t... i>

constexpr genType fennec::acosh ( genType x )

constexpr

Returns: the value \(y\) that fulfills \(x=\text{cosh}(y)\)

The Inverse Hyperbolic Cosine Function

Parameters

x	the hyperbolic angle \(\alpha\)

◆ atanh()

template<typename genType , size_t... i>

constexpr genType fennec::atanh ( genType x )

constexpr

Returns: the value \(y\) that fulfills \(x=\text{atanh}(y)\)

The Inverse Hyperbolic Tangent Function

Parameters

x	The Hyperbolic Angle \(\alpha\)

Detailed Description

Functions

Function Documentation

◆ radians()

◆ degrees()

◆ sin()

◆ cos()

◆ tan()

◆ asin()

◆ acos()

◆ atan() [1/2]

◆ atan() [2/2]

◆ sinh()

◆ cosh()

◆ tanh()

◆ asinh()

◆ acosh()

◆ atanh()