jau::math::geom Namespace Reference

Namespaces
namespace	plane

Classes
class	AABBox2f
	Axis Aligned Bounding Box. More...
class	AABBox3f
	Axis Aligned Bounding Box. More...
class	AGeom2f
	Animated geometric object. More...
class	Disk2f
class	Frustum
	Providing frustum planes derived by different inputs (P*MV, ..) used to classify objects. More...
class	Geom2f
	Geometric object. More...
class	LineSeg2f
struct	LineSeg3f
class	LineStrip2f
	A clockwise (CW) polyline. More...
class	Rect2f

Typedefs
typedef std::vector< AGeom2f_ref >	AGeom2f_list
typedef std::shared_ptr< AGeom2f >	AGeom2f_ref
typedef std::shared_ptr< Disk2f >	Disk2f_ref
typedef std::vector< Geom2f_ref >	Geom2f_list
typedef std::shared_ptr< Geom2f >	Geom2f_ref
typedef std::shared_ptr< LineStrip2f >	LineStrip2f_ref
typedef std::shared_ptr< Rect2f >	Rect2f_ref
typedef jau::darray< Vec3f, jau::nsize_t >	Vec3fList

Enumerations
enum class	orientation_t : uint16_t { orientation_t::COL , orientation_t::CW , orientation_t::CCW }
enum class	Winding : uint16_t { Winding::CW , Winding::CCW }

Functions
constexpr double	area2D (const Vec3fList &vertices) noexcept
	Computes the area of a list of vertices via shoelace formula.
constexpr Winding	get2DWinding (const Vec3f &a, const Vec3f &b, const Vec3f &c) noexcept
	Compute the winding of the 3 given points.
constexpr Winding	getArea2DWinding (const Vec3fList &vertices) noexcept
	Compute the winding using the area2D() function over all vertices for complex shapes.
constexpr double	inCircle2DVal (const Vec3f &a, const Vec3f &b, const Vec3f &c, const Vec3f &d) noexcept
constexpr bool	is2DCCW (const Vec3f &a, const Vec3f &b, const Vec3f &c) noexcept
	Check if points are in ccw order.
constexpr bool	isInCircle2D (const Vec3f &a, const Vec3f &b, const Vec3f &c, const Vec3f &d) noexcept
	Check if vertices in triangle circumcircle given d vertex, from paper by Guibas and Stolfi (1985).
constexpr bool	isInTriangle3 (const Vec3f &a, const Vec3f &b, const Vec3f &c, const Vec3f &p1, const Vec3f &p2, const Vec3f &p3) noexcept
	Check if one of three vertices are in triangle using barycentric coordinates computation.
	JAU_MAKE_ENUM_STRING (orientation_t, COL, CW, CCW)
	JAU_MAKE_ENUM_STRING (Winding, CW, CCW)
constexpr Vec3f	midpoint (const Vec3f &a, const Vec3f &b) noexcept
constexpr orientation_t	orientation (const Point2f &a, const Point2f &b, const Point2f &c) noexcept
	Return the orientation of the given point triplet a, b and c using triArea()
constexpr double	sqlend (double x, double y) noexcept
constexpr bool	testSeg2SegIntersection2D (const Vec3f &p, const Vec3f &p2, const Vec3f &q, const Vec3f &q2) noexcept
	2D line segment intersection test w/o considering collinear-case
constexpr bool	testSeg2SegIntersection2D (Vec2f *result, const Vec2f &p, const Vec2f &p2, const Vec2f &q, const Vec2f &q2, const bool do_collinear=false) noexcept
	See p + t r = q + u s and its terse C# implementation
constexpr bool	testTri2SegIntersection2D (const Vec3f &a, const Vec3f &b, const Vec3f &c, const Vec3f &d, const Vec3f &e)
	Check if a segment intersects with a triangle using FloatUtil#EPSILON w/o considering collinear-case.
constexpr double	tri_area (const Point2f &a, const Point2f &b, const Point2f &c)
	Computes oriented double area of a triangle, i.e.
constexpr double	triArea (double ax, double ay, double bx, double by, double cx, double cy) noexcept
constexpr double	triArea (float ax, float ay, float bx, float by, float cx, float cy) noexcept
constexpr double	triArea2D (const Vec3f &a, const Vec3f &b, const Vec3f &c) noexcept
	Computes oriented double area of a triangle, i.e.