mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio > Class Template Reference

Quasi-uniform surface rule for a unit-radius spherocylinder of cylindrical length AspectRatio. More...

#include <QuasiUniformSpherocylinder.hpp>

Public Types
using	value_type = Scalar

Static Public Member Functions
static constexpr Kokkos::Array< Scalar, 3 *num_points >	points ()
	The points as (x, y, z) triples, ordered by cylinder, north cap, then south cap.
static constexpr Kokkos::Array< Scalar, num_points >	weights ()
	The num_points surface-area weights, in the order of points().
template<class Function>
static constexpr auto	integrate (const Function &f)
	sum_i w_i f(x_i, y_i, z_i), approximating the unit-radius spherocylinder surface integral.

Static Public Attributes
static constexpr unsigned	num_points_per_ring = Ntheta
static constexpr unsigned	num_cylinder_rings
static constexpr unsigned	num_cap_points
static constexpr unsigned	num_points

Detailed Description

template<class Scalar, unsigned Ntheta, double AspectRatio>
class mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >

Ntheta controls the circumferential resolution; the corresponding cylinder and cap counts are determined by the aspect ratio. Nodes and weights are computed at compile time and rounded to Scalar.

Member Typedef Documentation

value_type

template<class Scalar, unsigned Ntheta, double AspectRatio>

using mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >::value_type = Scalar

Member Function Documentation

points()

template<class Scalar, unsigned Ntheta, double AspectRatio>

constexpr Kokkos::Array< Scalar, 3 *num_points > mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >::points ( )

inlinestaticconstexpr

weights()

template<class Scalar, unsigned Ntheta, double AspectRatio>

constexpr Kokkos::Array< Scalar, num_points > mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >::weights ( )

inlinestaticconstexpr

integrate()

template<class Scalar, unsigned Ntheta, double AspectRatio>

template<class Function>

constexpr auto mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >::integrate ( const Function & f )

inlinestaticconstexpr

Member Data Documentation

num_points_per_ring

template<class Scalar, unsigned Ntheta, double AspectRatio>

unsigned mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >::num_points_per_ring = Ntheta

staticconstexpr

num_cylinder_rings

template<class Scalar, unsigned Ntheta, double AspectRatio>

unsigned mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >::num_cylinder_rings

staticconstexpr

Initial value:

                                         =  
impl::QuasiUniformSpherocylinderRule<Scalar, Ntheta, AspectRatio>::num_cylinder_rings

num_cap_points

template<class Scalar, unsigned Ntheta, double AspectRatio>

unsigned mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >::num_cap_points

staticconstexpr

Initial value:

                                     =  
impl::QuasiUniformSpherocylinderRule<Scalar, Ntheta, AspectRatio>::num_cap_points

num_points

template<class Scalar, unsigned Ntheta, double AspectRatio>

unsigned mundy::QuasiUniformSpherocylinder< Scalar, Ntheta, AspectRatio >::num_points

staticconstexpr

Initial value:

                                 =  
impl::QuasiUniformSpherocylinderRule<Scalar, Ntheta, AspectRatio>::num_points