Detailed Description

A cubic polynomial, f(p) = a + b*p + c*p^2 + d*p^3.

#include <src/maliput_multilane/cubic_polynomial.h>

Public Member Functions
	CubicPolynomial ()
	Default constructor, all zero coefficients. More...

	CubicPolynomial (double a, double b, double c, double d)
	Constructs a cubic polynomial given all four coefficients. More...

double	a () const

double	b () const

double	c () const

double	d () const

int	order () const
	Returns the order of the polynomial, based on its nonzero coefficients. More...

bool	is_zero () const
	Checks whether the polynomial is exactly zero. More...

double	f_p (double p) const
	Evaluates the polynomial f at `p`. More...

double	f_dot_p (double p) const
	Evaluates the derivative df/dp at `p`. More...

double	f_ddot_p (double p) const
	Evaluates the double-derivative d^2f/dp^2 at `p`. More...

double	s_p (double p) const
	Returns the path-length s along the curve (p, f(p)) from p = 0 to `p`. More...

double	p_s (double s) const
	Returns the inverse of the path-length parameterization s_p(p). More...

double	fake_gprime (double p) const

Constructor & Destructor Documentation

◆ CubicPolynomial() [1/2]

CubicPolynomial ( )

Default constructor, all zero coefficients.

◆ CubicPolynomial() [2/2]

CubicPolynomial	(	double	a,
		double	b,
		double	c,
		double	d
	)

Constructs a cubic polynomial given all four coefficients.

Member Function Documentation

◆ a()

double a ( ) const

◆ b()

double b ( ) const

◆ c()

double c ( ) const

◆ d()

double d ( ) const

◆ f_ddot_p()

double f_ddot_p ( double p ) const

Evaluates the double-derivative d^2f/dp^2 at p.

◆ f_dot_p()

double f_dot_p ( double p ) const

Evaluates the derivative df/dp at p.

◆ f_p()

double f_p ( double p ) const

Evaluates the polynomial f at p.

◆ fake_gprime()

double fake_gprime ( double p ) const

◆ is_zero()

bool is_zero ( ) const

Checks whether the polynomial is exactly zero.

◆ order()

int order ( ) const

Returns the order of the polynomial, based on its nonzero coefficients.

◆ p_s()

double p_s ( double s ) const

Returns the inverse of the path-length parameterization s_p(p).

◆ s_p()

double s_p ( double p ) const

Returns the path-length s along the curve (p, f(p)) from p = 0 to p.

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

cubic_polynomial.h