Numeric.h File Reference

#include <cmath>
#include <vector>
#include "SPoint2.h"
#include "SPoint3.h"
#include "SVector3.h"

Include dependency graph for Numeric.h:

Go to the source code of this file.

Classes
class	fullVector< scalar >
struct	mean_plane

Functions
template<class T >
double	myhypot (const T &a, const T &b)
template<class T >
double	hypotenuse (T const &a, T const &b, T const &c)
template<typename T >
int	gmsh_sign (T const &value)
double	pow_int (const double &a, const int &n)
double	pow_int (const double &a, const double &d)
double	myatan2 (double a, double b)
double	myasin (double a)
double	myacos (double a)
double	crossProd (double a[3], double b[3], int i)
double	scalProd (double a[3], double b[3])
void	prodve (double a[3], double b[3], double c[3])
double	prosca (double const a[3], double const b[3])
void	matvec (double mat[3][3], double vec[3], double res[3])
void	matmat (double mat1[3][3], double mat2[3][3], double res[3][3])
double	norm3 (double a[3])
double	norme (double a[3])
double	norm2 (double a[3][3])
void	normal3points (double x0, double y0, double z0, double x1, double y1, double z1, double x2, double y2, double z2, double n[3])
void	normal2points (double x0, double y0, double z0, double x1, double y1, double z1, double n[3])
int	sys2x2 (double mat[2][2], double b[2], double res[2])
int	sys3x3 (double mat[3][3], double b[3], double res[3], double *det)
int	sys3x3_with_tol (double mat[3][3], double b[3], double res[3], double *det)
double	det2x2 (double mat[2][2])
double	det2x3 (double mat[2][3])
double	det3x3 (double mat[3][3])
double	trace3x3 (double mat[3][3])
double	trace2 (double mat[3][3])
double	inv3x3 (double mat[3][3], double inv[3][3])
double	inv2x2 (double mat[2][2], double inv[2][2])
double	angle_02pi (double A3)
double	angle_plan (double v[3], double p1[3], double p2[3], double n[3])
double	triangle_area (double p0[3], double p1[3], double p2[3])
double	triangle_area2d (double p0[2], double p1[2], double p2[2])
void	circumCenterXY (double *p1, double *p2, double *p3, double *res)
void	circumCenterXYZ (double *p1, double *p2, double *p3, double *res, double *uv=nullptr)
void	planarQuad_xyz2xy (double *x, double *y, double *z, double *xn, double *yn)
double	computeInnerRadiusForQuad (double *x, double *y, int i)
char	float2char (float f)
float	char2float (char c)
void	eigenvalue2x2 (double mat[2][2], double v[2])
void	eigenvalue (double mat[3][3], double re[3])
void	FindCubicRoots (const double coeff[4], double re[3], double im[3])
void	eigsort (double d[3])
void	gradSimplex (double *x, double *y, double *z, double *v, double *grad)
double	ComputeVonMises (double *val)
double	ComputeScalarRep (int numComp, double *val, int tensorRep=0)
void	invert_singular_matrix3x3 (double MM[3][3], double II[3][3])
bool	newton_fd (bool(*func)(fullVector< double > &, fullVector< double > &, void *), fullVector< double > &x, void *data, double relax=1., double tolx=1.e-6)
void	signedDistancePointTriangle (const SPoint3 &p1, const SPoint3 &p2, const SPoint3 &p3, const SPoint3 &p, double &d, SPoint3 &closePt)
void	signedDistancesPointsTriangle (std::vector< double > &distances, std::vector< SPoint3 > &closePts, const std::vector< SPoint3 > &pts, const SPoint3 &p1, const SPoint3 &p2, const SPoint3 &p3)
void	signedDistancePointLine (const SPoint3 &p1, const SPoint3 &p2, const SPoint3 &p, double &distance, SPoint3 &closePt)
void	signedDistancesPointsLine (std::vector< double > &distances, std::vector< SPoint3 > &closePts, const std::vector< SPoint3 > &pts, const SPoint3 &p1, const SPoint3 &p2)
void	changeReferential (const int direction, const SPoint3 &p, const SPoint3 &closePt, const SPoint3 &p1, const SPoint3 &p2, double *xp, double *yp, double *otherp, double *x, double *y, double *other)
int	computeDistanceRatio (const double &y, const double &yp, const double &x, const double &xp, double *distance, const double &r1, const double &r2)
void	signedDistancesPointsEllipsePoint (std::vector< double > &distances, std::vector< double > &distancesE, std::vector< int > &isInYarn, std::vector< SPoint3 > &closePts, const std::vector< SPoint3 > &pts, const SPoint3 &p1, const SPoint3 &p2, const double radius)
void	signedDistancesPointsEllipseLine (std::vector< double > &distances, std::vector< double > &distancesE, std::vector< int > &isInYarn, std::vector< SPoint3 > &closePts, const std::vector< SPoint3 > &pts, const SPoint3 &p1, const SPoint3 &p2, const double maxA, const double minA, const double maxB, const double minB, const int typeLevelSet)
int	intersection_segments (const SPoint3 &p1, const SPoint3 &p2, const SPoint3 &q1, const SPoint3 &q2, double x[2])
	3D VERSION More...
int	intersection_segments (const SPoint2 &p1, const SPoint2 &p2, const SPoint2 &q1, const SPoint2 &q2, double x[2])
void	fillMeanPlane (double res[4], double t1[3], double t2[3], mean_plane &meanPlane)
void	computeMeanPlaneSimple (const std::vector< SPoint3 > &points, mean_plane &meanPlane)
void	projectPointToPlane (const SPoint3 &pt, SPoint3 &ptProj, const mean_plane &meanPlane)
void	projectPointsToPlane (const std::vector< SPoint3 > &pts, std::vector< SPoint3 > &ptsProj, const mean_plane &meanPlane)
void	transformPointsIntoOrthoBasis (const std::vector< SPoint3 > &ptsProj, std::vector< SPoint3 > &pointsUV, const SPoint3 &ptCG, const mean_plane &meanPlane)
bool	catenary (double x0, double x1, double y0, double y1, double ys, int N, double *yp)

Function Documentation

angle_02pi()

double angle_02pi

(

double

A3

)

Definition at line 255 of file Numeric.cpp.

Referenced by GFace::computeMeanPlane(), and EndCurve().

Here is the caller graph for this function:

angle_plan()

double angle_plan	(	double	v[3],
		double	p1[3],
		double	p2[3],
		double	n[3]
	)

Definition at line 267 of file Numeric.cpp.

Referenced by gmshFace::containsPoint(), myangle(), and gmshFace::normal().

Here is the call graph for this function:

Here is the caller graph for this function:

catenary()

bool catenary	(	double	x0,
		double	x1,
		double	y0,
		double	y1,
		double	ys,
		int	N,
		double *	yp
	)

Definition at line 1554 of file Numeric.cpp.

Here is the call graph for this function:

changeReferential()

void changeReferential	(	const int	direction,
		const SPoint3 &	p,
		const SPoint3 &	closePt,
		const SPoint3 &	p1,
		const SPoint3 &	p2,
		double *	xp,
		double *	yp,
		double *	otherp,
		double *	x,
		double *	y,
		double *	other
	)

Definition at line 942 of file Numeric.cpp.

Referenced by signedDistancesPointsEllipseLine().

Here is the call graph for this function:

Here is the caller graph for this function:

char2float()

float char2float

(

char

c

)

Definition at line 464 of file Numeric.cpp.

Referenced by xyzn::angle(), drawArrays(), and smooth_normals::get().

Here is the call graph for this function:

Here is the caller graph for this function:

circumCenterXY()

void circumCenterXY	(	double *	p1,
		double *	p2,
		double *	p3,
		double *	res
	)

Definition at line 317 of file Numeric.cpp.

Referenced by circumCenterXYZ(), circUV(), and DocRecord::voronoiCell().

Here is the caller graph for this function:

circumCenterXYZ()

void circumCenterXYZ	(	double *	p1,
		double *	p2,
		double *	p3,
		double *	res,
		double *	uv = nullptr
	)

Definition at line 342 of file Numeric.cpp.

Referenced by MTriangle::circumcenter(), faceCircumCenter(), fourthPoint(), and MTri3::MTri3().

Here is the call graph for this function:

Here is the caller graph for this function:

computeDistanceRatio()

int computeDistanceRatio	(	const double &	y,
		const double &	yp,
		const double &	x,
		const double &	xp,
		double *	distance,
		const double &	r1,
		const double &	r2
	)

Definition at line 997 of file Numeric.cpp.

Referenced by signedDistancesPointsEllipseLine().

Here is the call graph for this function:

Here is the caller graph for this function:

computeInnerRadiusForQuad()

double computeInnerRadiusForQuad	(	double *	x,
		double *	y,
		int	i
	)

Definition at line 407 of file Numeric.cpp.

Referenced by MQuadrangle::getInnerRadius().

Here is the caller graph for this function:

computeMeanPlaneSimple()

void computeMeanPlaneSimple	(	const std::vector< SPoint3 > &	points,
		mean_plane &	meanPlane
	)

Definition at line 1438 of file Numeric.cpp.

Referenced by blyr_manager::add_external_corner(), discreteFace::param::checkPlanar(), and GFace::setMeshMaster().

Here is the call graph for this function:

Here is the caller graph for this function:

ComputeScalarRep()

double ComputeScalarRep	(	int	numComp,
		double *	val,
		int	tensorRep = 0
	)

Definition at line 506 of file Numeric.cpp.

Referenced by PViewDataList::_stat(), addVectorElement(), changeCoordinates(), drawNumberGlyphs(), PViewDataGModel::finalize(), getGraphData(), PViewData::getScalarValue(), PViewDataGModel::readMSH(), and saturateVector().

Here is the call graph for this function:

Here is the caller graph for this function:

ComputeVonMises()

double ComputeVonMises

(

double *

val

)

Definition at line 496 of file Numeric.cpp.

Referenced by addTensorElement(), and ComputeScalarRep().

Here is the caller graph for this function:

crossProd()

double crossProd ( double  a[3], double  b[3], int  i  )

inline

Definition at line 93 of file Numeric.h.

det2x2()

double det2x2

(

double

mat[2][2]

)

Definition at line 199 of file Numeric.cpp.

Referenced by intersection_segments(), discreteFace::intersectionWithCircle(), and inv2x2().

Here is the caller graph for this function:

det2x3()

double det2x3

(

double

mat[2][3]

)

Definition at line 204 of file Numeric.cpp.

Here is the call graph for this function:

det3x3()

double det3x3

(

double

mat[3][3]

)

Definition at line 126 of file Numeric.cpp.

Referenced by eigenvalue(), MTetrahedron::getVolume(), MPyramid::getVolumeSign(), MHexahedron::getVolumeSign(), MPrism::getVolumeSign(), inv3x3(), inv3x3tran(), and sys3x3().

Here is the caller graph for this function:

eigenvalue()

void eigenvalue	(	double	mat[3][3],
		double	re[3]
	)

Definition at line 550 of file Numeric.cpp.

Referenced by eigen(), GMSH_EigenvaluesPlugin::execute(), and MaxEigenHessianField::operator()().

Here is the call graph for this function:

Here is the caller graph for this function:

eigenvalue2x2()

void eigenvalue2x2	(	double	mat[2][2],
		double	v[2]
	)

Definition at line 538 of file Numeric.cpp.

Here is the call graph for this function:

eigsort()

void eigsort

(

double

d[3]

)

Definition at line 634 of file Numeric.cpp.

Referenced by eigenvalue().

Here is the caller graph for this function:

fillMeanPlane()

void fillMeanPlane	(	double	res[4],
		double	t1[3],
		double	t2[3],
		mean_plane &	meanPlane
	)

Definition at line 1412 of file Numeric.cpp.

Referenced by GFace::computeMeanPlane(), and computeMeanPlaneSimple().

Here is the caller graph for this function:

FindCubicRoots()

void FindCubicRoots	(	const double	coeff[4],
		double	re[3],
		double	im[3]
	)

Definition at line 574 of file Numeric.cpp.

Referenced by eigenvalue().

Here is the call graph for this function:

Here is the caller graph for this function:

float2char()

char float2char

(

float

f

)

Definition at line 452 of file Numeric.cpp.

Referenced by VertexArray::_addNormal(), smooth_normals::add(), and smooth_normals::get().

Here is the call graph for this function:

Here is the caller graph for this function:

gmsh_sign()

template<typename T >

int gmsh_sign ( T const &  value )

inline

Definition at line 28 of file Numeric.h.

Referenced by GEdge::getAdditionalInfoString(), F_Transfinite::operator()(), gmshRegion::resetNativePtr(), SetSurfaceGeneratrices(), SetVolumeSurfaces(), and GEO_Internals::synchronize().

Here is the caller graph for this function:

gradSimplex()

void gradSimplex	(	double *	x,
		double *	y,
		double *	z,
		double *	v,
		double *	grad
	)

Definition at line 475 of file Numeric.cpp.

Referenced by GMSH_LevelsetPlugin::_cutAndAddElements(), and IsoSimplex().

Here is the call graph for this function:

Here is the caller graph for this function:

hypotenuse()

template<class T >

double hypotenuse ( T const &  a, T const &  b, T const &  c  )

inline

Definition at line 23 of file Numeric.h.

Referenced by setLcs().

Here is the call graph for this function:

Here is the caller graph for this function:

intersection_segments() [1/2]

int intersection_segments	(	const SPoint2 &	p1,
		const SPoint2 &	p2,
		const SPoint2 &	q1,
		const SPoint2 &	q2,
		double	x[2]
	)

Definition at line 1331 of file Numeric.cpp.

Referenced by recoverEdgeBySwaps().

Here is the call graph for this function:

Here is the caller graph for this function:

intersection_segments() [2/2]

int intersection_segments	(	const SPoint3 &	p1,
		const SPoint3 &	p2,
		const SPoint3 &	q1,
		const SPoint3 &	q2,
		double	x[2]
	)

3D VERSION

Definition at line 1358 of file Numeric.cpp.

Here is the call graph for this function:

inv2x2()

double inv2x2	(	double	mat[2][2],
		double	inv[2][2]
	)

Definition at line 214 of file Numeric.cpp.

Referenced by JacobianBasis::getMetricMinAndGradients().

Here is the call graph for this function:

Here is the caller graph for this function:

inv3x3()

double inv3x3	(	double	mat[3][3],
		double	inv[3][3]
	)

Definition at line 232 of file Numeric.cpp.

Referenced by qmTetrahedron::cond(), helmholtzTerm< double >::elementMatrix(), elasticityTerm::elementMatrix(), elasticityMixedTerm::elementMatrix(), MSubTriangle::getGradShapeFunctions(), MSubLine::getGradShapeFunctions(), ScalarLagrangeFunctionSpaceOfElement::gradf(), ScalarLagrangeFunctionSpace::gradf(), FuncGradDisc::gradient(), element::interpolateCurl(), MElement::interpolateCurl(), element::interpolateDiv(), MElement::interpolateDiv(), element::interpolateGrad(), MElement::interpolateGrad(), signedDistancePointTriangle(), signedDistancesPointsTriangle(), element::xyz2uvw(), and MElement::xyz2uvw().

Here is the call graph for this function:

Here is the caller graph for this function:

invert_singular_matrix3x3()

void invert_singular_matrix3x3	(	double	MM[3][3],
		double	II[3][3]
	)

Definition at line 650 of file Numeric.cpp.

Referenced by GFace::XYZtoUV().

Here is the caller graph for this function:

matmat()

void matmat	(	double	mat1[3][3],
		double	mat2[3][3],
		double	res[3][3]
	)

Definition at line 54 of file Numeric.cpp.

Referenced by qmTriangle::angles(), and qmTetrahedron::cond().

Here is the caller graph for this function:

matvec()

void matvec	(	double	mat[3][3],
		double	vec[3],
		double	res[3]
	)

Definition at line 47 of file Numeric.cpp.

Referenced by element::interpolateGrad(), and MElement::interpolateGrad().

Here is the caller graph for this function:

myacos()

double myacos

(

double

a

)

Definition at line 28 of file Numeric.cpp.

Referenced by drawContext::drawArrow3d(), drawContext::drawCylinder(), and drawContext::drawTaperedCylinder().

Here is the caller graph for this function:

myasin()

double myasin

(

double

a

)

Definition at line 18 of file Numeric.cpp.

Referenced by EndCurve().

Here is the caller graph for this function:

myatan2()

double myatan2	(	double	a,
		double	b
	)

Definition at line 12 of file Numeric.cpp.

Referenced by xyzn::angle(), angle_plan(), GFace::computeMeanPlane(), and EndCurve().

Here is the caller graph for this function:

myhypot()

template<class T >

double myhypot ( const T &  a, const T &  b  )

inline

Definition at line 18 of file Numeric.h.

newton_fd()

bool newton_fd	(	bool(*)(fullVector< double > &, fullVector< double > &, void *)	func,
		fullVector< double > &	x,
		void *	data,
		double	relax = 1.,
		double	tolx = 1.e-6
	)

Definition at line 685 of file Numeric.cpp.

Referenced by intersectCurveSurfaceData::apply(), catenary(), IntersectCurvesWithSurface(), and ProjectPointOnSurface().

Here is the call graph for this function:

Here is the caller graph for this function:

norm2()

double norm2

(

double

a[3][3]

)

Definition at line 38 of file Numeric.cpp.

Referenced by qmTetrahedron::cond(), and edgeSwapTestAngle().

Here is the caller graph for this function:

norm3()

double norm3 ( double  a[3] )

inline

Definition at line 119 of file Numeric.h.

Referenced by assemble2d(), assemble3d(), det2x3(), EndCurve(), qmTriangle::gamma(), and norme().

Here is the caller graph for this function:

normal2points()

void normal2points	(	double	x0,
		double	y0,
		double	z0,
		double	x1,
		double	y1,
		double	z1,
		double	n[3]
	)

Definition at line 85 of file Numeric.cpp.

Referenced by GMSH_NearToFarFieldPlugin::execute(), and MPrism::getEdgeRep().

Here is the call graph for this function:

Here is the caller graph for this function:

normal3points()

void normal3points	(	double	x0,
		double	y0,
		double	z0,
		double	x1,
		double	y1,
		double	z1,
		double	x2,
		double	y2,
		double	z2,
		double	n[3]
	)

Definition at line 76 of file Numeric.cpp.

Referenced by drawSimpleVector(), GMSH_WarpPlugin::execute(), GMSH_NearToFarFieldPlugin::execute(), GFace::fillVertexArray(), MElement::integrateFlux(), MFace::normal(), transferDataStructure(), PViewData::writeSTL(), and writeSTLfaces().

Here is the call graph for this function:

Here is the caller graph for this function:

norme()

double norme ( double  a[3] )

inline

Definition at line 123 of file Numeric.h.

Referenced by _computeDeterminantAndRegularize(), addVectorElement(), xyzn::angle(), angle_plan(), qmTriangle::angles(), qmQuadrangle::angles(), circumCenterMetricXYZ(), circumCenterXYZ(), GFace::computeMeanPlane(), computeMeanPlaneSimple(), gmshFace::containsPoint(), drawContext::drawArrow3d(), drawContext::drawCylinder(), drawGridStipple(), drawContext::drawPlaneInBoundingBox(), drawContext::drawTaperedCylinder(), drawTics(), edge_angle::edge_angle(), EndCurve(), GMSH_SphericalRaisePlugin::execute(), ExtrudePoint(), fourthPoint(), qmTriangle::gamma(), GramSchmidt(), MElement::integrateCirc(), line::integrateCirculation(), triangle::integrateFlux(), quadrangle::integrateFlux(), IsoSimplex(), gmshFace::normal(), normal2points(), normal3points(), normal_triangle(), smooth_data::normalize(), planarQuad_xyz2xy(), and GRegion::setOutwardOrientationMeshConstraint().

Here is the call graph for this function:

Here is the caller graph for this function:

planarQuad_xyz2xy()

void planarQuad_xyz2xy	(	double *	x,
		double *	y,
		double *	z,
		double *	xn,
		double *	yn
	)

Definition at line 376 of file Numeric.cpp.

Referenced by MQuadrangle::getInnerRadius().

Here is the call graph for this function:

Here is the caller graph for this function:

pow_int() [1/2]

double pow_int ( const double &  a, const double &  d  )

inline

Definition at line 82 of file Numeric.h.

Here is the call graph for this function:

pow_int() [2/2]

double pow_int ( const double &  a, const int &  n  )

inline

Definition at line 39 of file Numeric.h.

Referenced by _computeCoeffLengthVectors(), _computeICN(), bezierBasisRaiser::_fillRaiserData(), bezierBasisRaiser::_fillRaiserDataPyr(), createMatLob2LagP6(), polynomialBasis::dddf(), polynomialBasis::ddf(), polynomialBasis::df(), polynomialBasis::evaluateMonomials(), orthogonalBasis::f(), and pow_int().

Here is the caller graph for this function:

prodve()

void prodve ( double  a[3], double  b[3], double  c[3]  )

inline

Definition at line 105 of file Numeric.h.

Referenced by _computeDeterminantAndRegularize(), GMSH_LevelsetPlugin::_cutAndAddElements(), xyzn::angle(), angle_plan(), qmTriangle::angles(), qmQuadrangle::angles(), circumCenterMetricXYZ(), circumCenterXYZ(), GFace::computeMeanPlane(), computeMeanPlaneSimple(), CutTriangle(), det2x3(), drawContext::drawArrow3d(), drawContext::drawCylinder(), drawContext::drawTaperedCylinder(), edge_angle::edge_angle(), eigen(), EndCurve(), GMSH_NearToFarFieldPlugin::execute(), fourthPoint(), qmTriangle::gamma(), GMSH_NearToFarFieldPlugin::getFarFieldMonk(), element::getJacobian(), GramSchmidt(), triangle::integrateFlux(), quadrangle::integrateFlux(), IsoSimplex(), normal2points(), normal3points(), planarQuad_xyz2xy(), GRegion::setOutwardOrientationMeshConstraint(), and triangle_area().

Here is the call graph for this function:

Here is the caller graph for this function:

projectPointsToPlane()

void projectPointsToPlane	(	const std::vector< SPoint3 > &	pts,
		std::vector< SPoint3 > &	ptsProj,
		const mean_plane &	meanPlane
	)

Definition at line 1514 of file Numeric.cpp.

Referenced by discreteFace::param::checkPlanar().

Here is the call graph for this function:

Here is the caller graph for this function:

projectPointToPlane()

void projectPointToPlane	(	const SPoint3 &	pt,
		SPoint3 &	ptProj,
		const mean_plane &	meanPlane
	)

Definition at line 1497 of file Numeric.cpp.

Referenced by blyr_manager::add_external_corner(), and projectPointsToPlane().

Here is the call graph for this function:

Here is the caller graph for this function:

prosca()

double prosca ( double const  a[3], double const  b[3]  )

inline

Definition at line 112 of file Numeric.h.

Referenced by GMSH_LevelsetPlugin::_cutAndAddElements(), xyzn::angle(), angle_plan(), qmTriangle::angles(), qmQuadrangle::angles(), circumCenterMetricXYZ(), circumCenterXYZ(), GFace::computeMeanPlane(), CutTriangle(), drawContext::drawArrow3d(), drawContext::drawCylinder(), drawContext::drawTaperedCylinder(), edge_angle::edge_angle(), edgeSwapTestAngle(), ExtrudePoint(), GMSH_NearToFarFieldPlugin::getFarFieldJin(), GMSH_NearToFarFieldPlugin::getFarFieldMonk(), MElement::integrateCirc(), line::integrateCirculation(), MElement::integrateFlux(), triangle::integrateFlux(), quadrangle::integrateFlux(), IsoSimplex(), AlphaElementLessThan::operator()(), gmshFace::parFromPoint(), planarQuad_xyz2xy(), and transferDataStructure().

Here is the caller graph for this function:

scalProd()

double scalProd ( double  a[3], double  b[3]  )

inline

Definition at line 100 of file Numeric.h.

Referenced by BoxField::computeDistance().

Here is the caller graph for this function:

signedDistancePointLine()

void signedDistancePointLine	(	const SPoint3 &	p1,
		const SPoint3 &	p2,
		const SPoint3 &	p,
		double &	distance,
		SPoint3 &	closePt
	)

Definition at line 908 of file Numeric.cpp.

Referenced by backgroundMesh::getAngle(), backgroundMesh::operator()(), signedDistancesPointsEllipseLine(), signedDistancesPointsEllipsePoint(), and signedDistancesPointsLine().

Here is the call graph for this function:

Here is the caller graph for this function:

signedDistancePointTriangle()

void signedDistancePointTriangle	(	const SPoint3 &	p1,
		const SPoint3 &	p2,
		const SPoint3 &	p3,
		const SPoint3 &	p,
		double &	d,
		SPoint3 &	closePt
	)

Definition at line 758 of file Numeric.cpp.

Referenced by discreteFace_rtree_callback().

Here is the call graph for this function:

Here is the caller graph for this function:

signedDistancesPointsEllipseLine()

void signedDistancesPointsEllipseLine	(	std::vector< double > &	distances,
		std::vector< double > &	distancesE,
		std::vector< int > &	isInYarn,
		std::vector< SPoint3 > &	closePts,
		const std::vector< SPoint3 > &	pts,
		const SPoint3 &	p1,
		const SPoint3 &	p2,
		const double	maxA,
		const double	minA,
		const double	maxB,
		const double	minB,
		const int	typeLevelSet
	)

Definition at line 1139 of file Numeric.cpp.

Here is the call graph for this function:

signedDistancesPointsEllipsePoint()

void signedDistancesPointsEllipsePoint	(	std::vector< double > &	distances,
		std::vector< double > &	distancesE,
		std::vector< int > &	isInYarn,
		std::vector< SPoint3 > &	closePts,
		const std::vector< SPoint3 > &	pts,
		const SPoint3 &	p1,
		const SPoint3 &	p2,
		const double	radius
	)

Definition at line 1105 of file Numeric.cpp.

Here is the call graph for this function:

signedDistancesPointsLine()

void signedDistancesPointsLine	(	std::vector< double > &	distances,
		std::vector< SPoint3 > &	closePts,
		const std::vector< SPoint3 > &	pts,
		const SPoint3 &	p1,
		const SPoint3 &	p2
	)

Definition at line 923 of file Numeric.cpp.

Referenced by GMSH_DistancePlugin::execute().

Here is the call graph for this function:

Here is the caller graph for this function:

signedDistancesPointsTriangle()

void signedDistancesPointsTriangle	(	std::vector< double > &	distances,
		std::vector< SPoint3 > &	closePts,
		const std::vector< SPoint3 > &	pts,
		const SPoint3 &	p1,
		const SPoint3 &	p2,
		const SPoint3 &	p3
	)

Definition at line 822 of file Numeric.cpp.

Referenced by computeLevelset(), and GMSH_DistancePlugin::execute().

Here is the call graph for this function:

Here is the caller graph for this function:

sys2x2()

int sys2x2	(	double	mat[2][2],
		double	b[2],
		double	res[2]
	)

Definition at line 101 of file Numeric.cpp.

Referenced by circumCenterMetric(), circumCenterMetricXYZ(), circumCenterXYZ(), gmshFace::closestPoint(), EndCurve(), getIntersection(), Intersect_Edges_2d(), intersection_segments(), discreteFace::intersectionWithCircle(), invMapUV(), invMapXY(), and myLine::myLine().

Here is the call graph for this function:

Here is the caller graph for this function:

sys3x3()

int sys3x3	(	double	mat[3][3],
		double	b[3],
		double	res[3],
		double *	det
	)

Definition at line 147 of file Numeric.cpp.

Referenced by gradSimplex(), sys3x3_with_tol(), MTetrahedron::xyz2uvw(), and tetrahedron::xyz2uvw().

Here is the call graph for this function:

Here is the caller graph for this function:

sys3x3_with_tol()

int sys3x3_with_tol	(	double	mat[3][3],
		double	b[3],
		double	res[3],
		double *	det
	)

Definition at line 177 of file Numeric.cpp.

Referenced by intersectLineTriangle().

Here is the call graph for this function:

Here is the caller graph for this function:

trace2()

double trace2

(

double

mat[3][3]

)

Definition at line 135 of file Numeric.cpp.

Referenced by eigenvalue().

Here is the caller graph for this function:

trace3x3()

double trace3x3

(

double

mat[3][3]

)

Definition at line 133 of file Numeric.cpp.

Referenced by eigenvalue().

Here is the caller graph for this function:

transformPointsIntoOrthoBasis()

void transformPointsIntoOrthoBasis	(	const std::vector< SPoint3 > &	ptsProj,
		std::vector< SPoint3 > &	pointsUV,
		const SPoint3 &	ptCG,
		const mean_plane &	meanPlane
	)

Definition at line 1524 of file Numeric.cpp.

Here is the call graph for this function:

triangle_area()

double triangle_area	(	double	p0[3],
		double	p1[3],
		double	p2[3]
	)

Definition at line 293 of file Numeric.cpp.

Referenced by MFace::approximateArea(), and qmTetrahedron::gamma().

Here is the call graph for this function:

Here is the caller graph for this function:

triangle_area2d()

double triangle_area2d	(	double	p0[2],
		double	p1[2],
		double	p2[2]
	)

Definition at line 309 of file Numeric.cpp.

Referenced by centroidOfPolygon().

Here is the call graph for this function:

Here is the caller graph for this function: