peclet::core::geom::prim::Cone< Real > Struct Template Reference

Solid capped cone (frustum) about the y axis: radius rBottom at y = -halfHeight, radius rTop at y = +halfHeight. More...

#include <primitives.hpp>

Public Types
using	value_type = Real

Public Member Functions
PECLET_HD Real	eval (Vec3< Real > p) const
PECLET_HD Vec3< Real >	grad (Vec3< Real > p) const
	Finite differences over this leaf's own eval (the piecewise capped-cone form has no gradient worth hand-deriving at this rung).

Public Attributes
Real	rBottom = Real(1)
Real	rTop = Real(0.5)
Real	halfHeight = Real(1)

Static Public Attributes
static constexpr bool	exact_distance = true
static constexpr bool	analytic_gradient = false

Detailed Description

template<class Real>
struct peclet::core::geom::prim::Cone< Real >

Solid capped cone (frustum) about the y axis: radius rBottom at y = -halfHeight, radius rTop at y = +halfHeight.

Exact Euclidean distance — the two candidate feet are the nearest point on a cap annulus and the nearest point on the lateral segment, and the true distance is the smaller. Set rTop = 0 for a plain cone, rTop = rBottom for a solid cylinder.

Derived from the standard exact capped-cone construction; its exactness is not asserted on authority — the rung-2 gate measures |grad| = 1 and compares against a brute-force nearest point on a dense parametric sampling of the surface.

Definition at line 299 of file primitives.hpp.

Member Typedef Documentation

value_type

template<class Real >

using peclet::core::geom::prim::Cone< Real >::value_type = Real

Definition at line 300 of file primitives.hpp.

Member Function Documentation

eval()

template<class Real >

PECLET_HD Real peclet::core::geom::prim::Cone< Real >::eval ( Vec3< Real >  p ) const

inline

Definition at line 306 of file primitives.hpp.

References peclet::core::geom::prim::Cone< Real >::halfHeight, peclet::core::detail::hdAbs(), peclet::core::detail::hdMax(), peclet::core::detail::hdMin(), peclet::core::detail::hdSqrt(), peclet::core::geom::prim::Cone< Real >::rBottom, peclet::core::geom::prim::Cone< Real >::rTop, peclet::core::Vec3< Real >::x, peclet::core::Vec3< Real >::y, and peclet::core::Vec3< Real >::z.

grad()

template<class Real >

PECLET_HD Vec3< Real > peclet::core::geom::prim::Cone< Real >::grad ( Vec3< Real >  p ) const

inline

Finite differences over this leaf's own eval (the piecewise capped-cone form has no gradient worth hand-deriving at this rung).

h is dem's 1e-4 probe convention.

Definition at line 330 of file primitives.hpp.

References peclet::core::geom::prim::gradient().

Member Data Documentation

rBottom

template<class Real >

Real peclet::core::geom::prim::Cone< Real >::rBottom = Real(1)

Definition at line 301 of file primitives.hpp.

Referenced by peclet::core::geom::prim::Cone< Real >::eval().

rTop

template<class Real >

Real peclet::core::geom::prim::Cone< Real >::rTop = Real(0.5)

Definition at line 301 of file primitives.hpp.

Referenced by peclet::core::geom::prim::Cone< Real >::eval().

halfHeight

template<class Real >

Real peclet::core::geom::prim::Cone< Real >::halfHeight = Real(1)

Definition at line 301 of file primitives.hpp.

Referenced by peclet::core::geom::prim::Cone< Real >::eval().

exact_distance

template<class Real >

constexpr bool peclet::core::geom::prim::Cone< Real >::exact_distance = true

staticconstexpr

Definition at line 302 of file primitives.hpp.

analytic_gradient

template<class Real >

constexpr bool peclet::core::geom::prim::Cone< Real >::analytic_gradient = false

staticconstexpr

Definition at line 303 of file primitives.hpp.

---

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

• primitives.hpp