Include dependency graph for trigonometry.h:

This graph shows which files directly or indirectly include this file:

Classes
class	Quaternion
	Quaternion is an extension to complex numbers. More...

class	ParamLine2
	A ParamLine2 is a line in space, with the following equations: More...

class	Line2
	A Line2 is a line on XY-plane, and it is defined in slope-intercept form y = slope*x + y-intercept; for making operations easier. More...

class	Line3
	A Line3 is a line in space, with the following equations: More...

class	Plane3
	A Plane3 is a plane in space, with the equation: Ax + By + Cz + D = 0. More...

class	Plane3CoordSystem
	Defines a 2D coordinate system on a 3D plane and transforms between the 3D space and the coordinate system. More...

class	Sphere
	Represents a point in spherical coordinates. The angle phi lies in the horizontal plane, theta in the vertical plane. More...

Typedefs
typedef Coord3	Vector3

Functions
void	interpolateOnTriangle2D (const Coord pt, const Coord a, const Coord b, const Coord c, double &weight_a, double &weight_b, double &weight_c)
	Given a point pt in a triangle ABC, we calculate the interpolation weights for each vertex. More...

double	determinent33 (const double *v)
	Here are some commonly used functions to judge the position relation between point and line, point and triangle, point and circle or sphere. More...

double	determinent44 (const Coord3 &r0, const Coord3 &r1, const Coord3 &r2, const Coord3 &r3)

double	determinent44 (const double r0, const double r1, const double r2, const double r3)

bool	isInsideCircle (const Coord &pt, const Coord &p1, const Coord &p2, const Coord &p3)

bool	isInsideCircumSphere (const Coord3 &p, const Coord3 &a, const Coord3 &b, const Coord3 &c, const Coord3 &d)

bool	sameSide2D (const Coord &p1, const Coord &p2, const Coord &a, const Coord &b, double epsilon)

bool	sameSide3D (const Coord3 &p1, const Coord3 &p2, const Coord3 &a, const Coord3 &b, double epsilon)

bool	pointInTriangle2D (const Coord &p, const Coord &a, const Coord &b, const Coord &c, double epsilon)

bool	pointInTriangle3D (const Coord3 &p, const Coord3 &a, const Coord3 &b, const Coord3 &c, double epsilon, bool useangularmethod)

bool	pointInTriangle3D (const Coord3 &p, const Coord3 &a, const Coord3 &b, const Coord3 &c, double epsilon)

bool	pointOnEdge2D (const Coord &p, const Coord &a, const Coord &b, double epsilon)

bool	pointOnEdge3D (const Coord3 &p, const Coord3 &a, const Coord3 &b, double epsilon)

bool	pointInPolygon (const Coord3 &pt, const TypeSet< Coord3 > &plgknots, double epsilon)

TypeSet< Vector3 > *	makeSphereVectorSet (double dangle)
	Divides a sphere in a number of vectors, divided by approximately dangle from each other. dradius is given in radians. More...

Coord3	estimateAverageVector (const TypeSet< Coord3 > &, bool normalize, bool checkforundefs)
	Computes an average of a number of vectors using: More...

Sphere	cartesian2Spherical (const Coord3 &, bool math)

Coord3	spherical2Cartesian (const Sphere &, bool math)

Typedef Documentation

typedef Coord3 Vector3

Function Documentation

Sphere cartesian2Spherical	(	const Coord3 &	,
		bool	math
	)

math=true: transformation done in math-system math=false: transformation done in geo-system

double determinent33 ( const double * v )

inline

Here are some commonly used functions to judge the position relation between point and line, point and triangle, point and circle or sphere.

double determinent44	(	const Coord3 &	r0,
		const Coord3 &	r1,
		const Coord3 &	r2,
		const Coord3 &	r3
	)

inline

Each ri represents a row of 4 elements.

double determinent44	(	const double *	r0,
		const double *	r1,
		const double *	r2,
		const double *	r3
	)

inline

Check the point pt is inside the circumcircle of p1, p2, p3 or not.

Coord3 estimateAverageVector	(	const TypeSet< Coord3 > &	,
		bool	normalize,
		bool	checkforundefs
	)

Computes an average of a number of vectors using:

Summation
PCA estimation

void interpolateOnTriangle2D	(	const Coord	pt,
		const Coord	a,
		const Coord	b,
		const Coord	c,
		double &	weight_a,
		double &	weight_b,
		double &	weight_c
	)

inline

Given a point pt in a triangle ABC, we calculate the interpolation weights for each vertex.

bool isInsideCircle	(	const Coord &	pt,
		const Coord &	p1,
		const Coord &	p2,
		const Coord &	p3
	)

inline

Check the point p is inside the circumsphere of a, b, c, d or not.

bool isInsideCircumSphere	(	const Coord3 &	p,
		const Coord3 &	a,
		const Coord3 &	b,
		const Coord3 &	c,
		const Coord3 &	d
	)

inline

TypeSet<Vector3>* makeSphereVectorSet ( double dangle )

Divides a sphere in a number of vectors, divided by approximately dangle from each other. dradius is given in radians.

bool pointInPolygon	(	const Coord3 &	pt,
		const TypeSet< Coord3 > &	plgknots,
		double	epsilon
	)

inline

bool pointInTriangle2D	(	const Coord &	p,
		const Coord &	a,
		const Coord &	b,
		const Coord &	c,
		double	epsilon
	)

inline

Only when four points are coplanar.

bool pointInTriangle3D	(	const Coord3 &	p,
		const Coord3 &	a,
		const Coord3 &	b,
		const Coord3 &	c,
		double	epsilon,
		bool	useangularmethod
	)

inline

Only when four points are coplanar.

bool pointInTriangle3D	(	const Coord3 &	p,
		const Coord3 &	a,
		const Coord3 &	b,
		const Coord3 &	c,
		double	epsilon
	)

inline

Check to see if the point P is on the edge AB or not.

bool pointOnEdge2D	(	const Coord &	p,
		const Coord &	a,
		const Coord &	b,
		double	epsilon
	)

inline

bool pointOnEdge3D	(	const Coord3 &	p,
		const Coord3 &	a,
		const Coord3 &	b,
		double	epsilon
	)

inline

For point and polygon lie on the same plane only. In 2D case, set all zs' to be 0, we also consider the case that the point is exactly on a vertex as inside. Use the check that all the angle sum should be 2 Pi.

bool sameSide2D	(	const Coord &	p1,
		const Coord &	p2,
		const Coord &	a,
		const Coord &	b,
		double	epsilon
	)

inline

Check p1, p2 are on the same side of the edge AB or not. Only when four points are coplanar.

bool sameSide3D	(	const Coord3 &	p1,
		const Coord3 &	p2,
		const Coord3 &	a,
		const Coord3 &	b,
		double	epsilon
	)

inline

Use this function only when the 4 points are all in a plane.

Coord3 spherical2Cartesian	(	const Sphere &	,
		bool	math
	)

math=true: transformation done in math-system math=false: transformation done in geo-system

Classes

Typedefs

Functions

Typedef Documentation

Function Documentation