#include "libmmg3d_private.h"
#include "inlined_functions_private.h"
#include "mmg3dexterns_private.h"

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Functions
static double	MMG5_lenedgCoor_ani (double ca, double cb, double sa, double sb)
	inlined Functions

static double	MMG5_lenedg33_ani (MMG5_pMesh mesh, MMG5_pSol met, int ia, MMG5_pTetra pt)

static double	MMG5_lenedgspl33_ani (MMG5_pMesh mesh, MMG5_pSol met, int ia, MMG5_pTetra pt)

static double	MMG5_lenedgspl_ani (MMG5_pMesh mesh, MMG5_pSol met, int ia, MMG5_pTetra pt)

static double	MMG5_lenedg_ani (MMG5_pMesh mesh, MMG5_pSol met, int ia, MMG5_pTetra pt)

static double	MMG5_lenedg_iso (MMG5_pMesh mesh, MMG5_pSol met, int ia, MMG5_pTetra pt)

static double	MMG5_lenedgspl_iso (MMG5_pMesh mesh, MMG5_pSol met, int ia, MMG5_pTetra pt)

static double	MMG5_orcal (MMG5_pMesh mesh, MMG5_pSol met, MMG5_int iel)

static double	MMG3D_caltetLES_iso (MMG5_pMesh mesh, MMG5_pSol met, MMG5_pTetra pt)

static double	MMG5_caltet_iso_4pt (double a, double b, double c, double d)

static double	MMG5_caltet_iso (MMG5_pMesh mesh, MMG5_pSol met, MMG5_pTetra pt)

static double	MMG5_caltet_ani (MMG5_pMesh mesh, MMG5_pSol met, MMG5_pTetra pt)

Function Documentation

◆ MMG3D_caltetLES_iso()

static double MMG3D_caltetLES_iso	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_pTetra	pt
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the meric structure.
pt	pointer to a tetrahedra.

Returns: The isotropic quality of the tet in LES measure, 0 if fail

Compute the quality of the tet pt with respect to the LES quality measure. \(Q=\frac{V}{V_{ref}}\) with \(V_{ref}=8\frac{\sqrt{3}}{27}R \sqrt{R}\) and R the radius of the circumscribe circle.

Definition at line 295 of file inlined_functions_3d_private.h.

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◆ MMG5_caltet_ani()

static double MMG5_caltet_ani	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_pTetra	pt
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the meric structure.
pt	pointer to a tetrahedra.

Returns: The anisotropic quality of the tet or 0.0 if fail.

Compute the quality of the tet pt with respect to the anisotropic metric met. \( Q = V_met(K) / (sum(len(edge_K)^2)^(3/2) \).

Todo:: test with the square of this measure

Definition at line 429 of file inlined_functions_3d_private.h.

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◆ MMG5_caltet_iso()

static double MMG5_caltet_iso	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_pTetra	pt
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the metric structure.
pt	pointer to a tetrahedra.

Returns: The isotropic quality of the tet.

Compute the quality of the tet pt with respect to the isotropic metric met.

Definition at line 399 of file inlined_functions_3d_private.h.

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◆ MMG5_caltet_iso_4pt()

static double MMG5_caltet_iso_4pt	(	double *	a,
		double *	b,
		double *	c,
		double *	d
	)

inlinestatic

Parameters

a	pointer to the coor of the first tetra vertex.
b	pointer to the coor of the second tetra vertex.
c	pointer to the coor of the third tetra vertex.
d	pointer to the coor of the fourth tetra vertex.

Returns: The isotropic quality of the tet.

Compute the quality of a tetra given by 4 points a,b,c,d with respect to the isotropic metric met.

Definition at line 340 of file inlined_functions_3d_private.h.

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◆ MMG5_lenedg33_ani()

static double MMG5_lenedg33_ani	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	ia,
		MMG5_pTetra	pt
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the sol structure.
ia	index of edge in tetra pt .
pt	pointer to the tetra from which we come.

Returns: length of edge according to the prescribed metric.

Compute length of edge \([i0;i1]\) according to the prescribed aniso metric (for classic storage of metrics at ridges points).

Warning: in this function we may erroneously approximate the length of a curve boundary edge by the length of the straight edge if the "MG_BDY" tag is missing along the edge.

Definition at line 97 of file inlined_functions_3d_private.h.

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◆ MMG5_lenedg_ani()

static double MMG5_lenedg_ani	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	ia,
		MMG5_pTetra	pt
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the sol structure.
ia	index of edge in tetra pt .
pt	pointer to the tetra from which we come.

Returns: length of edge according to the prescribed metric.

Compute length of edge \([i0;i1]\) according to the prescribed aniso metric (for special storage of metrics at ridges points).

Warning: in this function we may erroneously approximate the length of a curve boundary edge by the length of the straight edge if the "MG_BDY" tag is missing along the edge.

Definition at line 210 of file inlined_functions_3d_private.h.

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◆ MMG5_lenedg_iso()

static double MMG5_lenedg_iso	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	ia,
		MMG5_pTetra	pt
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the sol structure.
ia	index of edge in tetra pt .
pt	pointer to the tetra from which we come.

Returns: length of edge according to the prescribed metric.

Compute length of edge \([i0;i1]\) according to the prescribed iso metric (length identic for internal edges than for surface edges).

Definition at line 242 of file inlined_functions_3d_private.h.

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◆ MMG5_lenedgCoor_ani()

static double MMG5_lenedgCoor_ani	(	double *	ca,
		double *	cb,
		double *	sa,
		double *	sb
	)

inlinestatic

inlined Functions

Author: Charles Dapogny (UPMC); Cécile Dobrzynski (Bx INP/Inria/UBordeaux); Pascal Frey (UPMC); Algiane Froehly (Inria/UBordeaux)

Version: 5

Copyright: GNU Lesser General Public License.

Compute edge length from edge's coordinates.

Parameters

ca	pointer to the coordinates of the first edge's extremity.
cb	pointer to the coordinates of the second edge's extremity.
sa	pointer to the metric associated to the first edge's extremity.
sb	pointer to the metric associated to the second edge's extremity.

Returns: edge length.

Compute length of edge \([ca,cb]\) (with ca and cb coordinates of edge extremities) according to the anisotropic size prescription.

Definition at line 56 of file inlined_functions_3d_private.h.

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◆ MMG5_lenedgspl33_ani()

static double MMG5_lenedgspl33_ani	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	ia,
		MMG5_pTetra	pt
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the sol structure.
ia	index of edge in tetra pt .
pt	pointer to the tetra from which we come.

Returns: length of edge according to the prescribed metric.

Compute length of edge \([i0;i1]\) according to the prescribed aniso metric (for classic storage of metrics at ridges points).

Definition at line 130 of file inlined_functions_3d_private.h.

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◆ MMG5_lenedgspl_ani()

static double MMG5_lenedgspl_ani	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	ia,
		MMG5_pTetra	pt
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the sol structure.
ia	index of edge in tetra pt .
pt	pointer to the tetra from which we come.

Returns: length of edge according to the prescribed metric, 0 if fail.

Compute length of a straight edge \([i0;i1]\) according to the prescribed aniso metric (for special storage of metrics at ridges points).

Definition at line 163 of file inlined_functions_3d_private.h.

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◆ MMG5_lenedgspl_iso()

static double MMG5_lenedgspl_iso	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	ia,
		MMG5_pTetra	pt
	)

inlinestatic

Definition at line 252 of file inlined_functions_3d_private.h.

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◆ MMG5_orcal()

static double MMG5_orcal	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_int	iel
	)

inlinestatic

Parameters

mesh	pointer to the mesh structure.
met	pointer to the meric structure.
iel	index of element.

Returns: The oriented quality of element iel or 0.0 if iel is inverted.

Compute tetra oriented quality of iel.

Definition at line 274 of file inlined_functions_3d_private.h.

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