Math functions. More...

Classes
class	base_vec3
	3D vector Vector defined with 3 float numbers More...

class	vec2
	2D Vector Vector defined with 2 float numbers More...

class	vec4
	4D Vector Vector defined with 4 float numbers More...

class	ivec2
	2D Vector Vector defined with 2 integers More...

class	ivec3
	3D Vector Vector defined with 3 integers More...

class	ivec4
	4D Vector Vector defined with 4 integers More...

Typedefs
typedef float	decimal

typedef unsigned int	bitSet

typedef base_vec3< decimal >	vec3

typedef base_vec3< double >	dvec3

Functions
std::vector< vec3 >	operator* (const std::vector< vec3 > &_v, const decimal &_a)

std::vector< vec3 >	operator+ (const std::vector< vec3 > &_u, const std::vector< vec3 > &_v)

std::vector< dvec3 >	operator* (const std::vector< dvec3 > &_v, const decimal &_a)

std::vector< dvec3 >	operator+ (const std::vector< dvec3 > &_u, const std::vector< dvec3 > &_v)

OPoint3D	vec3toOPoint3D (const vec3 &_v)
	Converts a vec3 to OPoint3D. More...

vec3	OPoint3Dtovec3 (const OPoint3D &_p)
	Converts a OPoint3D to vec3. More...

OVector3D	vec3toOVector3D (const vec3 &_v)
	Converts a vec3 to OVector3D. More...

vec3	OVector3Dtovec3 (const OVector3D &_v)
	Converts a OVector3D to vec3. More...

decimal	area (const vec2 &A, const vec2 &B, const vec2 &C)

void	Cross (const vec3 &v1, const vec3 &v2, vec3 &vout)

vec3	Cross_r (const vec3 &v1, const vec3 &v2)

void	Vector (const vec3 &vp1, const vec3 &vp2, vec3 &vout)

vec3	Vector_r (const vec3 &vp1, const vec3 &vp2)

decimal	Determinant (const vec3 &vp1, const vec3 &vp2, const vec3 &vp3)

vec3	FaceNormal (const vec3 &vp1, const vec3 &vp2, const vec3 &vp3)

decimal	Determinant (const vec4 &vp1, const vec4 &vp2, const vec4 &vp3, const vec4 &vp4)

decimal	Determinant (const vec3 &vp1, const vec3 &vp2, const vec3 &vp3, const vec3 &vp4)

bool	colinear (const vec3 &A, const vec3 &B, const vec3 &C, const decimal &aproximation)

decimal	CalcTetraVolume (vec3 A, vec3 B, vec3 C, vec3 D)

vec3	GetGTriangle (const vec3 &A, const vec3 &B, const vec3 &C)

vec3	GetGTetra (const vec3 &A, const vec3 &B, const vec3 &C, const vec3 &D)

decimal	GetAireTriangle (const vec3 &a, const vec3 &b, const vec3 &c)

float	Clamp (float val, float low, float high)

int	Clamp (int val, int low, int high)

int	Floor2Int (float val)

int	Round2Int (float val)

bool	LineLineIntersect (const vec3 &p1, const vec3 &p2, const vec3 &p3, const vec3 &p4, vec3 pa, vec3 pb, decimal mua, decimal mub)
	Calculate the segment between the lines (p1,p2) and (p3,p4) More...

bool	pointInPolygone (const vec2 &p, const std::vector< vec2 > &points)

decimal	ClosestDistanceBetweenDotAndTriangle (const vec3 &va, const vec3 &vb, const vec3 &vc, const vec3 &P, decimal pfSParam, decimal pfTParam)

unsigned int	buildBitSet (const unsigned short &length)

unsigned int	buildComplementaryBitSet (const unsigned int &length, const unsigned int &bitSet)

Detailed Description

Math functions.

Typedef Documentation

◆ bitSet

typedef unsigned int core_mathlib::bitSet

used to manage set of elements

Definition at line 47 of file mathlib.h.

◆ decimal

typedef float core_mathlib::decimal

Definition at line 45 of file mathlib.h.

◆ dvec3

typedef base_vec3<double> core_mathlib::dvec3

Definition at line 382 of file mathlib.h.

◆ vec3

typedef base_vec3<decimal> core_mathlib::vec3

Definition at line 381 of file mathlib.h.

Function Documentation

◆ area()

decimal core_mathlib::area	(	const vec2 &	A,
		const vec2 &	B,
		const vec2 &	C
	)

inline

Definition at line 659 of file mathlib.h.

◆ buildBitSet()

unsigned int core_mathlib::buildBitSet ( const unsigned short & length )

inline

Definition at line 1831 of file mathlib.h.

Here is the caller graph for this function:

◆ buildComplementaryBitSet()

unsigned int core_mathlib::buildComplementaryBitSet	(	const unsigned int &	length,
		const unsigned int &	bitSet
	)

inline

Definition at line 1845 of file mathlib.h.

Here is the call graph for this function:

◆ CalcTetraVolume()

decimal core_mathlib::CalcTetraVolume	(	vec3	A,
		vec3	B,
		vec3	C,
		vec3	D
	)

inline

Definition at line 1337 of file mathlib.h.

Here is the call graph for this function:

◆ Clamp() [1/2]

float core_mathlib::Clamp	(	float	val,
		float	low,
		float	high
	)

inline

Definition at line 1367 of file mathlib.h.

Here is the caller graph for this function:

◆ Clamp() [2/2]

int core_mathlib::Clamp	(	int	val,
		int	low,
		int	high
	)

inline

Definition at line 1383 of file mathlib.h.

◆ ClosestDistanceBetweenDotAndTriangle()

decimal core_mathlib::ClosestDistanceBetweenDotAndTriangle	(	const vec3 &	va,
		const vec3 &	vb,
		const vec3 &	vc,
		const vec3 &	P,
		decimal *	pfSParam,
		decimal *	pfTParam
	)

inline

Closest distance between a point and a triangle.

Parameters

va	Vertex A of the triangle
vb	Vertex B of the triangle
vc	Vertex C of the triangle
P	Point
pfSParam	Barycentric coordinate of triangle at point closest to p (u)
pfTParam	Barycentric coordinate of triangle at point closest to p (v)

Returns: Shortest distance squared.

The third Barycentric coordinate is implicit, ie. w = 1.0 - u - v

Taken from: geometrictools.com

See also: http://www.geometrictools.com/LibFoundation/Distance/Distance.html

Definition at line 1577 of file mathlib.h.

◆ colinear()

bool core_mathlib::colinear	(	const vec3 &	A,
		const vec3 &	B,
		const vec3 &	C,
		const decimal &	aproximation
	)

inline

Definition at line 902 of file mathlib.h.

Here is the call graph for this function:

◆ Cross()

void core_mathlib::Cross	(	const vec3 &	v1,
		const vec3 &	v2,
		vec3 &	vout
	)

inline

Definition at line 664 of file mathlib.h.

◆ Cross_r()

vec3 core_mathlib::Cross_r	(	const vec3 &	v1,
		const vec3 &	v2
	)

inline

Definition at line 670 of file mathlib.h.

Here is the caller graph for this function:

◆ Determinant() [1/3]

decimal core_mathlib::Determinant	(	const vec3 &	vp1,
		const vec3 &	vp2,
		const vec3 &	vp3
	)

inline

This calculates determinant 3*3

Definition at line 699 of file mathlib.h.

◆ Determinant() [2/3]

decimal core_mathlib::Determinant	(	const vec3 &	vp1,
		const vec3 &	vp2,
		const vec3 &	vp3,
		const vec3 &	vp4
	)

inline

Calculate the determinant

|x1 y1 z1 1| |x2 y2 z2 1| |x3 y3 z3 1| |x4 y4 z4 1|

Definition at line 878 of file mathlib.h.

◆ Determinant() [3/3]

decimal core_mathlib::Determinant	(	const vec4 &	vp1,
		const vec4 &	vp2,
		const vec4 &	vp3,
		const vec4 &	vp4
	)

inline

Calculate the determinant

Definition at line 859 of file mathlib.h.

◆ FaceNormal()

vec3 core_mathlib::FaceNormal	(	const vec3 &	vp1,
		const vec3 &	vp2,
		const vec3 &	vp3
	)

inline

Definition at line 711 of file mathlib.h.

Here is the call graph for this function:

◆ Floor2Int()

int core_mathlib::Floor2Int ( float val )

inline

Definition at line 1399 of file mathlib.h.

Here is the caller graph for this function:

◆ GetAireTriangle()

decimal core_mathlib::GetAireTriangle	(	const vec3 &	a,
		const vec3 &	b,
		const vec3 &	c
	)

inline

Definition at line 1357 of file mathlib.h.

Here is the call graph for this function:

◆ GetGTetra()

vec3 core_mathlib::GetGTetra	(	const vec3 &	A,
		const vec3 &	B,
		const vec3 &	C,
		const vec3 &	D
	)

inline

Definition at line 1353 of file mathlib.h.

◆ GetGTriangle()

vec3 core_mathlib::GetGTriangle	(	const vec3 &	A,
		const vec3 &	B,
		const vec3 &	C
	)

inline

Returns: Return the central point of a triangle

Definition at line 1347 of file mathlib.h.

◆ LineLineIntersect()

bool core_mathlib::LineLineIntersect	(	const vec3 &	p1,
		const vec3 &	p2,
		const vec3 &	p3,
		const vec3 &	p4,
		vec3 *	pa,
		vec3 *	pb,
		decimal *	mua,
		decimal *	mub
	)

inline

Calculate the segment between the lines (p1,p2) and (p3,p4)

Parameters

p1	first point of the first segment
p2	second point of the first segment
p3	first point of the second segment
p4	second point of the second segment
pa	point of the first line (p1p2) that belongs to the shortest segment between the two lines
pb	point of the second line (p3p4) that belongs to the shortest segment between the two lines
mua	position of a along the first line (p1p2)
mub	position of b along the second line (p3p4)

Returns: False if no solution is found

Definition at line 1460 of file mathlib.h.

Here is the caller graph for this function:

◆ operator*() [1/2]

std::vector<dvec3> core_mathlib::operator*	(	const std::vector< dvec3 > &	_v,
		const decimal &	_a
	)

inline

Definition at line 406 of file mathlib.h.

◆ operator*() [2/2]

std::vector<vec3> core_mathlib::operator*	(	const std::vector< vec3 > &	_v,
		const decimal &	_a
	)

inline

Definition at line 384 of file mathlib.h.

◆ operator+() [1/2]

std::vector<dvec3> core_mathlib::operator+	(	const std::vector< dvec3 > &	_u,
		const std::vector< dvec3 > &	_v
	)

inline

Definition at line 416 of file mathlib.h.

◆ operator+() [2/2]

std::vector<vec3> core_mathlib::operator+	(	const std::vector< vec3 > &	_u,
		const std::vector< vec3 > &	_v
	)

inline

Definition at line 394 of file mathlib.h.

◆ OPoint3Dtovec3()

vec3 core_mathlib::OPoint3Dtovec3 ( const OPoint3D & _p )

inline

Converts a OPoint3D to vec3.

Definition at line 440 of file mathlib.h.

Here is the caller graph for this function:

◆ OVector3Dtovec3()

vec3 core_mathlib::OVector3Dtovec3 ( const OVector3D & _v )

inline

Converts a OVector3D to vec3.

Definition at line 458 of file mathlib.h.

◆ pointInPolygone()

bool core_mathlib::pointInPolygone	(	const vec2 &	p,
		const std::vector< vec2 > &	points
	)

inline

Definition at line 1541 of file mathlib.h.

◆ Round2Int()

int core_mathlib::Round2Int ( float val )

inline

Definition at line 1404 of file mathlib.h.

Here is the call graph for this function:

Here is the caller graph for this function:

◆ vec3toOPoint3D()

OPoint3D core_mathlib::vec3toOPoint3D ( const vec3 & _v )

inline

Converts a vec3 to OPoint3D.

Definition at line 431 of file mathlib.h.

◆ vec3toOVector3D()

OVector3D core_mathlib::vec3toOVector3D ( const vec3 & _v )

inline

Converts a vec3 to OVector3D.

Definition at line 449 of file mathlib.h.

◆ Vector()

void core_mathlib::Vector	(	const vec3 &	vp1,
		const vec3 &	vp2,
		vec3 &	vout
	)

inline

Definition at line 685 of file mathlib.h.

Here is the caller graph for this function:

◆ Vector_r()

vec3 core_mathlib::Vector_r	(	const vec3 &	vp1,
		const vec3 &	vp2
	)

inline

Definition at line 692 of file mathlib.h.

Here is the caller graph for this function:

Classes

Typedefs

Functions

Detailed Description

Typedef Documentation

◆ bitSet

◆ decimal

◆ dvec3

◆ vec3

Function Documentation

◆ area()

◆ buildBitSet()

◆ buildComplementaryBitSet()

◆ CalcTetraVolume()

◆ Clamp() [1/2]

◆ Clamp() [2/2]

◆ ClosestDistanceBetweenDotAndTriangle()

◆ colinear()

◆ Cross()

◆ Cross_r()

◆ Determinant() [1/3]

◆ Determinant() [2/3]

◆ Determinant() [3/3]

◆ FaceNormal()

◆ Floor2Int()

◆ GetAireTriangle()

◆ GetGTetra()

◆ GetGTriangle()

◆ LineLineIntersect()

◆ operator*() [1/2]

◆ operator*() [2/2]

◆ operator+() [1/2]

◆ operator+() [2/2]

◆ OPoint3Dtovec3()

◆ OVector3Dtovec3()

◆ pointInPolygone()

◆ Round2Int()

◆ vec3toOPoint3D()

◆ vec3toOVector3D()

◆ Vector()

◆ Vector_r()