peclet::core::geom::quad_detail Namespace Reference

Gauss-Legendre nodes/weights on [0,1] for n = 1..8. More...

Functions
template<class Real >
PECLET_HD void	gaussLegendre01 (int n, int i, Real &x, Real &w)
PECLET_HD int	gaussCount (int n)
template<class Real , class Phi >
PECLET_HD Real	positiveLength (const Phi &phi, Vec3< Real > p0, Vec3< Real > d, int nseg)
	Length of {phi > 0} along the segment p0 + s*d, s in [0,1], by bracketed bisection.

Detailed Description

Gauss-Legendre nodes/weights on [0,1] for n = 1..8.

Returned by reference into a static constexpr table so the caller pays nothing; n outside the range clamps.

Function Documentation

gaussLegendre01()

template<class Real >

PECLET_HD void peclet::core::geom::quad_detail::gaussLegendre01	(	int	n,
		int	i,
		Real &	x,
		Real &	w
	)

Definition at line 66 of file quadrature.hpp.

gaussCount()

PECLET_HD int peclet::core::geom::quad_detail::gaussCount

(

int

n

)

Definition at line 129 of file quadrature.hpp.

Referenced by peclet::core::geom::bodyProperties(), peclet::core::geom::cellVolumeFraction(), and peclet::core::geom::faceAperture().

positiveLength()

template<class Real , class Phi >

PECLET_HD Real peclet::core::geom::quad_detail::positiveLength	(	const Phi &	phi,
		Vec3< Real >	p0,
		Vec3< Real >	d,
		int	nseg
	)

Length of {phi > 0} along the segment p0 + s*d, s in [0,1], by bracketed bisection.

nseg initial subintervals: a feature thinner than 1/nseg of the segment is INVISIBLE here – failure mode 1 in the header comment.

Definition at line 137 of file quadrature.hpp.

Referenced by peclet::core::geom::cellVolumeFraction(), and peclet::core::geom::faceAperture().