Extruded< Shape > Class Template Reference

An axis-aligned extrusion of an arbitrary N-1 dimensional Convex shape. More...

#include <geomc/shape/Extruded.h>

Inheritance diagram for Extruded< Shape >:

Public Types
using	elem_t
	The coordinate type of this object.
using	point_t
	The type of a point in this object's space.
typedef Shape::elem_t	T
	The coordinate type of this Shape.

Public Member Functions
	Extruded ()
	Construct a new extrusion with unit height.
	Extruded (const Shape &base)
	Construct a new extrusion with cross section base and unit height.
	Extruded (const Shape &base, const Rect< T, 1 > &height)
	Construct an extrusion with cross section base and height range height.
	Extruded (const Shape &base, T h0, T h1)
	Construct an extrusion with cross section base, and height ranging between h0 and h1.
Rect< T, N >	bounds () const
Vec< Shape::elem_t, N >	clip (Vec< Shape::elem_t, N > p) const
	Nearest point on the interior of the shape.
bool	contains (Vec< T, N > p) const
point_t	convex_support (point_t d) const
	Geometric convex support function.
Vec< T, N >	convex_support (Vec< T, N > d) const
Rect< T, 1 >	intersect (const Ray< T, N > &r) const
	Ray/shape intersection.
bool	intersects (const Convex< Shape::elem_t, N, Shape > &other) const
	Convex shape overlap test.
T	measure_boundary () const
	Measure the boundary (surface area) of the extrusion.
T	measure_interior () const
	Measure the interior (volume) of the extrusion.
Vec< T, N >	normal (Vec< T, N > p) const
bool	operator== (const Extruded< Shape > &other) const
Vec< T, N >	project (Vec< T, N > p) const
T	sdf (Vec< T, N > p) const

Static Public Member Functions
static constexpr bool	admits_cusps ()

Public Attributes
Shape	base
	Cross-section of this extrusion at the h = 0 plane.
Rect< T, 1 >	height
	Height range of this extrusion.

Static Public Attributes
static constexpr size_t	N = Shape::N + 1
	The dimension of this Shape.

Related Symbols
(Note that these are not member symbols.)
template<typename Shape>
Extruded< Shape >	extrude (const Shape &s, typename Shape::elem_t h0, typename Shape::elem_t h1)
	Convenience function to extrude the shape s between heights h0 and h1 by wrapping s in the Extruded template.

Detailed Description

template<typename Shape>
class geom::Extruded< Shape >

An axis-aligned extrusion of an arbitrary N-1 dimensional Convex shape.

The first N-1 dimensions have cross-sections which are Shapes (e.g., Rect, Sphere, Frustum...). The shape is lofted "vertically" into the last dimension.

Example:

// initialize a cylinder of length and radius 1:
auto cylinder = Extruded<Sphere<double,2>>(Sphere<double,2>(), Rect<double,1>(0,1));
// or equivalently, and more succinctly:
auto cylinder2 = extrude(Circle<double>(), 0, 1);

Member Typedef Documentation

point_t

using point_t

inherited

The type of a point in this object's space.

An N-vector of T if N > 1, otherwise a T.

Member Function Documentation

clip()

Vec< Shape::elem_t, N > clip ( Vec< Shape::elem_t, N > p ) const

inlineinherited

Nearest point on the interior of the shape.

If p is on the interior of the shape, return p unaltered; otherwise orthogonally project p to the shape's surface.

convex_support()

point_t convex_support ( point_t d ) const

inlineinherited

Geometric convex support function.

Returns the point on the surface of this convex shape that is furthest along direction d (i.e., has the highest dot product with d).

All shapes which implement this function automatically support geometrical intersection tests with any other Convex object.

Parameters

d	Direction along which to find a support plane.

Returns

A point on the surface of this convex shape.

intersects()

bool intersects ( const Convex< Shape::elem_t, N, Shape > & other ) const

inlineinherited

Convex shape overlap test.

Returns

True if and only if this convex shape overlaps other; false otherwise.

project()

template<typename Shape>

Vec< T, N > project ( Vec< T, N > p ) const

inline

Return the point p orthogonally projected onto the surface of the shape.

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

• geomc/shape/Extruded.h