A wrapper shape which orients another arbitrary shape with an AffineTransform. More...

Inheritance diagram for Oriented< Shape >:

Public Types
typedef Shape::elem_t	T
	The coordinate type of this Shape.

typedef PointType< Shape::elem_t, N >::point_t	point_t

typedef T	elem_t
	The coordinate type of this shape.

Public Member Functions
	Oriented ()
	Wrap a default-constructed Shape with the identity transformation.

	Oriented (const Shape &s)
	Wrap `s` in an identity transformation.

	Oriented (const Shape &s, const AffineTransform< T, N > &xf)
	Construct an oriented shape from `s`, which is positioned and oriented by `xf`.

bool	contains (Vec< T, N > p) const
	Shape-point overlap test.

Vec< T, N >	convex_support (Vec< T, N > d) const

Rect< T, N >	bounds () const

Rect< T, 1 >	intersect (const Ray< T, N > &r) const
	Ray-shape intersection.

Oriented< Rect< T, N > >	oriented_bounds () const
	Return an Oriented Rect containing the shape.

point_t	convex_support (point_t d) const
	Geometric convex support function. More...

bool	intersects (const Convex< Shape::elem_t, N, Shape > &other) const
	Convex shape overlap test. More...

Public Attributes
Shape	shape
	Un-transformed shape.

AffineTransform< T, N >	xf
	Transformation orienting `shape`.

Related Functions
(Note that these are not member functions.)
template<typename T , index_t N>
using	OrientedRect = Oriented< Rect< T, N > >
	Convenience typedef for oriented Rects.

template<typename Shape >
Oriented< Shape >	operator* (const AffineTransform< typename Shape::elem_t, Shape::N > &xf, const Shape &s)
	Transform the shape `s` by wrapping it in an `Oriented` class.

template<typename Shape >
Oriented< Shape >	operator* (const AffineTransform< typename Shape::elem_t, Shape::N > &xf, const Oriented< Shape > &s)
	Transform the oriented shape `s` by `xf`.

template<typename Shape >
Oriented< Shape > &	*operator=** (Oriented< Shape > &s, const AffineTransform< typename Shape::elem_t, Shape::N > &xf)
	In-place transform the oriented shape `s` by `xf`.

template<typename Shape >
Oriented< Shape >	operator/ (const Shape &s, const AffineTransform< typename Shape::elem_t, Shape::N > &xf)
	Transform the shape `s` by the inverse of `xf`.

template<typename Shape >
Oriented< Shape >	operator/ (const Oriented< Shape > &s, const AffineTransform< typename Shape::elem_t, Shape::N > &xf)
	Transform the oriented shape `s` by the inverse of `xf`.

template<typename Shape >
Oriented< Shape > &	operator/= (Oriented< Shape > &s, const AffineTransform< typename Shape::elem_t, Shape::N > &xf)
	In-place transform the oriented shape `s` by the inverse of `xf`.

Detailed Description

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

A wrapper shape which orients another arbitrary shape with an AffineTransform.

Oriented shapes can be constructed simply by applying an AffineTransform to an ordinary shape:

AffineTransform<double,3> xf = rotation(...);
Oriented<Cylinder<double,3>> oriented = xf * Cylinder<double,3>();

Transforming an Oriented results in another Oriented of the same type:

Oriented<Cylinder<double,3>> ocyl_a = xf * Cylinder<double,3>();
Oriented<Cylinder<double,3>> ocyl_b = xf * ocyl_a;

Member Function Documentation

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.

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.

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