pbpt::math::detail Namespace Reference

Contains internal implementation details for the math library. More...

Functions
template<typename T>
constexpr T	sqrt_newton_raphson (T x, T curr, T prev)
	A constexpr implementation of the square root function using the Newton-Raphson method.
template<typename T>
constexpr T	sin_taylor (T x)
	A constexpr implementation of the sine function using a Taylor series expansion.
template<typename T>
constexpr T	cos_taylor (T x)
	A constexpr implementation of the cosine function using a Taylor series expansion.

Detailed Description

Contains internal implementation details for the math library.

Warning

Users should not directly use anything from this namespace.

Function Documentation

cos_taylor()

template<typename T>

T pbpt::math::detail::cos_taylor ( T x )

constexpr

A constexpr implementation of the cosine function using a Taylor series expansion.

This is intended for compile-time use. For best precision, the input angle x should be in the range [-PI/2, PI/2].

Template Parameters

T	Floating-point type.

Parameters

x	The angle in radians.

Returns

The cosine of x.

sin_taylor()

template<typename T>

T pbpt::math::detail::sin_taylor ( T x )

constexpr

A constexpr implementation of the sine function using a Taylor series expansion.

This is intended for compile-time use. For best precision, the input angle x should be in the range [-PI/2, PI/2].

Template Parameters

T	Floating-point type.

Parameters

x	The angle in radians.

Returns

The sine of x.

sqrt_newton_raphson()

template<typename T>

T pbpt::math::detail::sqrt_newton_raphson ( T x, T curr, T prev )

constexpr

A constexpr implementation of the square root function using the Newton-Raphson method.

This function recursively approximates the square root. It is intended for compile-time use only and is called by the public pbpt::math::sqrt function.

Template Parameters

T	The floating-point or integral type of the number.

Parameters

x	The non-negative number to find the square root of.
curr	The current guess for the square root.
prev	The previous guess, used to check for convergence.

Returns

The approximate square root of x.