core/StelSphereGeometry.hpp File Reference

Define all SphericalGeometry primitives as well as the SphericalRegionP type. More...

#include <QVector>
#include <QVariant>
#include <QDebug>
#include <QSharedPointer>
#include <QVarLengthArray>
#include "VecMath.hpp"
#include "OctahedronPolygon.hpp"
#include "StelVertexArray.hpp"

Go to the source code of this file.

Classes
class	SphericalRegionP
	A shared pointer on a SphericalRegion. More...
class	SphericalRegion
	Abstract class defining a region of the sphere. More...
class	SphericalCap
	A SphericalCap is defined by a direction and an aperture. More...
class	SphericalPoint
	Special SphericalRegion for a point on the sphere. More...
class	AllSkySphericalRegion
	Special SphericalRegion for the whole sphere. More...
class	EmptySphericalRegion
class	SphericalPolygon
class	SphericalConvexPolygon
	A special case of SphericalPolygon for which the polygon is convex. More...
class	SphericalTexturedPolygon
	An extension of SphericalPolygon with addition of texture coordinates. More...
struct	SphericalTexturedPolygon::TextureVertex
	A container for 3D vertex + associated texture coordinates. More...
class	SphericalTexturedConvexPolygon
	Extension of SphericalConvexPolygon for textured polygon. More...
Functions
	Q_DECLARE_METATYPE (SphericalRegionP)
QDataStream &	operator<< (QDataStream &out, const SphericalRegionP &region)
	Serialize the passed SphericalRegionP into a binary blob.
QDataStream &	operator>> (QDataStream &in, SphericalRegionP &region)
	Load the SphericalRegionP from a binary blob.
bool	sideHalfSpaceContains (const Vec3d &v1, const Vec3d &v2, const Vec3d &p)
	Return whether the halfspace defined by the vectors v1^v2 and with aperture 90 deg contains the point p.
bool	sideHalfSpaceContains (const Vec3d &v1, const Vec3d &v2, const SphericalCap &h)
	Return whether the halfspace defined by the vectors v1 and v2 contains the SphericalCap h.
bool	sideHalfSpaceIntersects (const Vec3d &v1, const Vec3d &v2, const SphericalCap &h)
	Return whether the halfspace defined by the vectors v1 and v2 intersects the SphericalCap h.
	Q_DECLARE_TYPEINFO (SphericalTexturedPolygon::TextureVertex, Q_PRIMITIVE_TYPE)
Vec3d	greatCircleIntersection (const Vec3d &p1, const Vec3d &p2, const Vec3d &p3, const Vec3d &p4, bool &ok)
	Compute the intersection of 2 great circles segments.
Vec3d	greatCircleIntersection (const Vec3d &p1, const Vec3d &p2, const Vec3d &nHalfSpace, bool &ok)
	Compute the intersection of a great circles segment with another great circle.

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Detailed Description

Define all SphericalGeometry primitives as well as the SphericalRegionP type.

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Function Documentation

Vec3d greatCircleIntersection	(	const Vec3d &	p1,
		const Vec3d &	p2,
		const Vec3d &	nHalfSpace,
		bool &	ok
	)

Compute the intersection of a great circles segment with another great circle.

Parameters:

ok

is set to false if no intersection was found.

Returns:

the intersection point on the sphere (normalized) if ok is true, or undefined of ok is false.

Vec3d greatCircleIntersection	(	const Vec3d &	p1,
		const Vec3d &	p2,
		const Vec3d &	p3,
		const Vec3d &	p4,
		bool &	ok
	)

Compute the intersection of 2 great circles segments.

Parameters:

ok

is set to false if no intersection was found.

Returns:

the intersection point on the sphere (normalized) if ok is true, or undefined of ok is false.

QDataStream& operator<<	(	QDataStream &	out,
		const SphericalRegionP &	region
	)

Serialize the passed SphericalRegionP into a binary blob.

QDataStream& operator>>	(	QDataStream &	in,
		SphericalRegionP &	region
	)

Load the SphericalRegionP from a binary blob.

bool sideHalfSpaceContains	(	const Vec3d &	v1,
		const Vec3d &	v2,
		const SphericalCap &	h
	)			[inline]

Return whether the halfspace defined by the vectors v1 and v2 contains the SphericalCap h.

bool sideHalfSpaceContains	(	const Vec3d &	v1,
		const Vec3d &	v2,
		const Vec3d &	p
	)			[inline]

Return whether the halfspace defined by the vectors v1^v2 and with aperture 90 deg contains the point p.

The comparison is made with a double number slightly smaller than zero to avoid floating point precision errors problems (one test fails if it is set to zero).

bool sideHalfSpaceIntersects	(	const Vec3d &	v1,
		const Vec3d &	v2,
		const SphericalCap &	h
	)			[inline]

Return whether the halfspace defined by the vectors v1 and v2 intersects the SphericalCap h.