tatooine::polynomial_line< Real, N, Degree > Class Template Reference

#include <polynomial_line.h>

Collaboration diagram for tatooine::polynomial_line< Real, N, Degree >:

Public Types
using	vec_type = vec< Real, N >
using	polynomial_type = tatooine::polynomial< Real, Degree >

Public Member Functions
constexpr	polynomial_line ()
constexpr	polynomial_line (const polynomial_line &other)=default
constexpr	polynomial_line (polynomial_line &&other)=default
constexpr polynomial_line &	operator= (const polynomial_line &other)=default
constexpr polynomial_line &	operator= (polynomial_line &&other)=default
template<typename... Polynomials> requires (is_polynomial<Polynomials> && ...)
constexpr	polynomial_line (Polynomials &&... polynomials)
auto &	polynomial (std::size_t i)
const auto &	polynomial (std::size_t i) const
auto &	polynomials ()
const auto &	polynomials () const
constexpr auto	evaluate (Real t) const
constexpr auto	operator() (Real t) const
constexpr auto	diff () const
constexpr auto	tangent (Real t) const
constexpr auto	second_derivative (Real t) const
constexpr auto	curvature (Real t) const
constexpr auto	curvature (Real t, const vec_type &tang) const
constexpr auto	curvature (const vec_type &tang, const vec_type &snd_der) const -> Real
template<template< typename > typename InterpolationKernel, floating_point Real_>
constexpr auto	evaluate (linspace< Real_ > const &ts) const
constexpr auto	arc_length (const linspace< Real > &range) const

Static Public Member Functions
static constexpr auto	num_dimensions () -> std::size_t
static constexpr auto	degree ()

Private Member Functions
template<std::size_t... Is>
constexpr auto	evaluate (Real t, std::index_sequence< Is... >) const
template<std::size_t... Is>
constexpr auto	diff (std::index_sequence< Is... >) const
template<std::size_t... Is>
constexpr auto	tangent (Real t, std::index_sequence< Is... >) const
template<std::size_t... Is>
constexpr auto	second_derivative (Real t, std::index_sequence< Is... >) const

Private Attributes
std::array< polynomial_type, N >	m_polynomials

Member Typedef Documentation

polynomial_type

template<typename Real , std::size_t N, std::size_t Degree>

using tatooine::polynomial_line< Real, N, Degree >::polynomial_type = tatooine::polynomial<Real, Degree>

vec_type

template<typename Real , std::size_t N, std::size_t Degree>

using tatooine::polynomial_line< Real, N, Degree >::vec_type = vec<Real, N>

Constructor & Destructor Documentation

polynomial_line() [1/4]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr tatooine::polynomial_line< Real, N, Degree >::polynomial_line ( )

inlineconstexpr

polynomial_line() [2/4]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr tatooine::polynomial_line< Real, N, Degree >::polynomial_line ( const polynomial_line< Real, N, Degree > &  other )

constexprdefault

polynomial_line() [3/4]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr tatooine::polynomial_line< Real, N, Degree >::polynomial_line ( polynomial_line< Real, N, Degree > &&  other )

constexprdefault

polynomial_line() [4/4]

template<typename Real , std::size_t N, std::size_t Degree>

template<typename... Polynomials>
requires (is_polynomial<Polynomials> && ...)

constexpr tatooine::polynomial_line< Real, N, Degree >::polynomial_line ( Polynomials &&...  polynomials )

inlineconstexpr

Member Function Documentation

arc_length()

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::arc_length ( const linspace< Real > &  range ) const

inlineconstexpr

curvature() [1/3]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::curvature ( const vec_type &  tang, const vec_type &  snd_der  ) const -> Real

inlineconstexpr

curvature() [2/3]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::curvature ( Real  t ) const

inlineconstexpr

curvature() [3/3]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::curvature ( Real  t, const vec_type &  tang  ) const

inlineconstexpr

degree()

template<typename Real , std::size_t N, std::size_t Degree>

static constexpr auto tatooine::polynomial_line< Real, N, Degree >::degree ( )

inlinestaticconstexpr

diff() [1/2]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::diff ( ) const

inlineconstexpr

diff() [2/2]

template<typename Real , std::size_t N, std::size_t Degree>

template<std::size_t... Is>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::diff ( std::index_sequence< Is... >  ) const

inlineconstexprprivate

evaluate() [1/3]

template<typename Real , std::size_t N, std::size_t Degree>

template<template< typename > typename InterpolationKernel, floating_point Real_>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::evaluate ( linspace< Real_ > const &  ts ) const

inlineconstexpr

evaluate() [2/3]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::evaluate ( Real  t ) const

inlineconstexpr

evaluate() [3/3]

template<typename Real , std::size_t N, std::size_t Degree>

template<std::size_t... Is>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::evaluate ( Real  t, std::index_sequence< Is... >    ) const

inlineconstexprprivate

num_dimensions()

template<typename Real , std::size_t N, std::size_t Degree>

static constexpr auto tatooine::polynomial_line< Real, N, Degree >::num_dimensions ( ) -> std::size_t

inlinestaticconstexpr

operator()()

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::operator() ( Real  t ) const

inlineconstexpr

operator=() [1/2]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr polynomial_line & tatooine::polynomial_line< Real, N, Degree >::operator= ( const polynomial_line< Real, N, Degree > &  other )

constexprdefault

operator=() [2/2]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr polynomial_line & tatooine::polynomial_line< Real, N, Degree >::operator= ( polynomial_line< Real, N, Degree > &&  other )

constexprdefault

polynomial() [1/2]

template<typename Real , std::size_t N, std::size_t Degree>

auto & tatooine::polynomial_line< Real, N, Degree >::polynomial ( std::size_t  i )

inline

polynomial() [2/2]

template<typename Real , std::size_t N, std::size_t Degree>

const auto & tatooine::polynomial_line< Real, N, Degree >::polynomial ( std::size_t  i ) const

inline

polynomials() [1/2]

template<typename Real , std::size_t N, std::size_t Degree>

auto & tatooine::polynomial_line< Real, N, Degree >::polynomials ( )

inline

polynomials() [2/2]

template<typename Real , std::size_t N, std::size_t Degree>

const auto & tatooine::polynomial_line< Real, N, Degree >::polynomials ( ) const

inline

second_derivative() [1/2]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::second_derivative ( Real  t ) const

inlineconstexpr

second_derivative() [2/2]

template<typename Real , std::size_t N, std::size_t Degree>

template<std::size_t... Is>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::second_derivative ( Real  t, std::index_sequence< Is... >    ) const

inlineconstexprprivate

tangent() [1/2]

template<typename Real , std::size_t N, std::size_t Degree>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::tangent ( Real  t ) const

inlineconstexpr

tangent() [2/2]

template<typename Real , std::size_t N, std::size_t Degree>

template<std::size_t... Is>

constexpr auto tatooine::polynomial_line< Real, N, Degree >::tangent ( Real  t, std::index_sequence< Is... >    ) const

inlineconstexprprivate

Member Data Documentation

m_polynomials

template<typename Real , std::size_t N, std::size_t Degree>

std::array<polynomial_type, N> tatooine::polynomial_line< Real, N, Degree >::m_polynomials

private

---

The documentation for this class was generated from the following file:

• /mnt/data/home/ci/builds/Bicifxyn/0/libs/tatooine2/include/tatooine/polynomial_line.h