geometry.h File Reference

#include <stdlib.h>

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Functions
Angle between 2 lines in radians.
Get the angle between two lines which you give one direction vector. The returned value is expressed in radians and is between 0 and PI/2. Parameters v1 the direction of the first line v2 the direction of the second line
float	Aims2VectorsAngle (const AimsVector< float, 3 > &v1, const AimsVector< float, 3 > &v2)
Angle between 2 vectors in radians.
Get the angle between two vectors. The returned value is expressed in radians and is between 0 and PI. Parameters v1 the first vector v2 the second vector
float	Aims2LinesAngle (const AimsVector< float, 3 > &v1, const AimsVector< float, 3 > &v2)
Generating trieder.
Get a random orthonormal trieder from one of its axis. Parameters v1 one axis of the trieder
Trieder	AimsOrthonormalTrieder (const AimsVector< float, 3 > &v1)
Cylinder.
Return true if a point is inside a cylinder. Parameters p the point to test p0 a central point of one of both bases of the cylinder dir unit direction or axis of the cylinder (direction is important) radius radius of the cylinder length length of the cylinder
bool	AimsIsInCylinder (const AimsVector< float, 3 > &p, const AimsVector< float, 3 > &p0, const AimsVector< float, 3 > &dir, float radius, float length)
Torus.
Return true if a point is inside a torus. Parameters p the point to test p0 center of the torus axe main axis of the torus Radius greatest radius of the torus radius smallest radius of the torus dir pointer where the unit vector of the direction at point p is stored
bool	AimsIsInTorus (const AimsVector< float, 3 > &p, const AimsVector< float, 3 > &p0, const AimsVector< float, 3 > &axe, float Radius, float radius, AimsVector< float, 3 > *dir=NULL)
Cube.
Return true if a point is inside a cube. Parameters p the point to test p0 the inferior vertex p1 the superior vertex
bool	AimsIsInCube (const AimsVector< float, 3 > &p, const AimsVector< float, 3 > &p0, const AimsVector< float, 3 > &p1)
Parallelepipede.
Return true if a point is inside a parallelepipede. Parameters p the point to test p0 one of the different verteces of the parallelepipede v1 one unit vector that is an edge of the parallelepipede v2 another perpendicular unit vector that is an edge of the parallelepipede L1 length of the first edge associated to v1 L2 length of the second edge associated to v2 L3 length of the third edge associated to v1^v2
bool	AimsIsInParallelepipede (const AimsVector< float, 3 > &p, const AimsVector< float, 3 > &p0, const AimsVector< float, 3 > &v1, const AimsVector< float, 3 > &v2, float L1, float L2, float L3)

Function Documentation

Aims2LinesAngle()

float Aims2LinesAngle	(	const AimsVector< float, 3 > &	v1,
		const AimsVector< float, 3 > &	v2
	)

Aims2VectorsAngle()

float Aims2VectorsAngle	(	const AimsVector< float, 3 > &	v1,
		const AimsVector< float, 3 > &	v2
	)

AimsIsInCube()

bool AimsIsInCube	(	const AimsVector< float, 3 > &	p,
		const AimsVector< float, 3 > &	p0,
		const AimsVector< float, 3 > &	p1
	)

AimsIsInCylinder()

bool AimsIsInCylinder	(	const AimsVector< float, 3 > &	p,
		const AimsVector< float, 3 > &	p0,
		const AimsVector< float, 3 > &	dir,
		float	radius,
		float	length
	)

AimsIsInParallelepipede()

bool AimsIsInParallelepipede	(	const AimsVector< float, 3 > &	p,
		const AimsVector< float, 3 > &	p0,
		const AimsVector< float, 3 > &	v1,
		const AimsVector< float, 3 > &	v2,
		float	L1,
		float	L2,
		float	L3
	)

AimsIsInTorus()

bool AimsIsInTorus	(	const AimsVector< float, 3 > &	p,
		const AimsVector< float, 3 > &	p0,
		const AimsVector< float, 3 > &	axe,
		float	Radius,
		float	radius,
		AimsVector< float, 3 > *	dir = NULL
	)

AimsOrthonormalTrieder()

Trieder AimsOrthonormalTrieder

(

const AimsVector< float, 3 > &

v1

)