Fonctions for anisotropic size map computation. More...

#include "libmmg3d.h"
#include "inlined_functions_3d_private.h"
#include "mmg3dexterns_private.h"
#include "mmgexterns_private.h"

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Functions
int	MMG3D_printEigenv (double dm[3], double vp[3][3])

int	MMG3D_printMat (int8_t symmat, double *m)

int	MMG3D_printErrorMat (int8_t symmat, double m, double mr)

int	MMG3D_chk4ridVertices (MMG5_pMesh mesh, MMG5_pTetra pt)

int	MMG5_moymet (MMG5_pMesh mesh, MMG5_pSol met, MMG5_pTetra pt, double *m1)

static int	MMG5_defmetsin (MMG5_pMesh mesh, MMG5_pSol met, MMG5_int kel, int iface, int ip)

static int	MMG5_defmetrid (MMG5_pMesh mesh, MMG5_pSol met, MMG5_int kel, int iface, MMG5_int ip)

static int	MMG5_defmetref (MMG5_pMesh mesh, MMG5_pSol met, MMG5_int kel, int iface, int ip)

static int	MMG5_defmetreg (MMG5_pMesh mesh, MMG5_pSol met, MMG5_int kel, int iface, int ip)

static int	MMG5_defmetvol (MMG5_pMesh mesh, MMG5_pSol met, int8_t ismet)

static int	MMG3D_intextmet (MMG5_pMesh mesh, MMG5_pSol met, int np, double me[6])

int	MMG3D_defsiz_ani (MMG5_pMesh mesh, MMG5_pSol met)

static int	MMG5_grad2metVol_getmet (MMG5_pMesh mesh, MMG5_pSol met, MMG5_int ip, double ux, double uy, double uz, double m, int8_t ridgedir)

static void	MMG5_grad2metVol_extmet (MMG5_pMesh mesh, MMG5_pPoint ppt, double l, double m, double mext)

static void	MMG3D_gradSimred (MMG5_pMesh mesh, MMG5_pPoint ppt, double m[6], double mext[6], int8_t ridgedir, int8_t iloc, int *ier)

static void	MMG5_grad2metVol_setmet (MMG5_pMesh mesh, MMG5_pSol met, int ip, double *m, int8_t ridgedir)

static int	MMG5_grad2metVol (MMG5_pMesh mesh, MMG5_pSol met, int np1, int np2)

int	MMG3D_updatemetreq_ani (double *n, double dn[3], double vp[3][3])

static int	MMG5_grad2metVolreq (MMG5_pMesh mesh, MMG5_pSol met, MMG5_pTetra pt, MMG5_int npmaster, MMG5_int npslave)

int	MMG3D_gradsiz_ani (MMG5_pMesh mesh, MMG5_pSol met)

int	MMG3D_gradsizreq_ani (MMG5_pMesh mesh, MMG5_pSol met)

Detailed Description

Fonctions for anisotropic size map computation.

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.

Todo:: doxygen documentation.

Definition in file anisosiz_3d.c.

Function Documentation

◆ MMG3D_chk4ridVertices()

int MMG3D_chk4ridVertices	(	MMG5_pMesh	mesh,
		MMG5_pTetra	pt
	)

Definition at line 113 of file anisosiz_3d.c.

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◆ MMG3D_defsiz_ani()

int MMG3D_defsiz_ani	(	MMG5_pMesh	mesh,
		MMG5_pSol	met
	)

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric stucture.

Returns: 0 if fail, 1 otherwise.

Define size at points by intersecting the surfacic metric and the physical metric.

On singular (CRN, REQ, NOM) points, the metric on P is made isotropic.
On non-singular ridge points, the metric is forced to be aligned with the ridge directions and surface normals.
On regular boundary points, the metric can be anisotropic on the tangent plane, but it is forced to be aligned to the normal direction.

Step 1: Set metric at points belonging to a required edge: compute the metric as the mean of the length of the required eges passing through the point

Definition at line 1310 of file anisosiz_3d.c.

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◆ MMG3D_gradSimred()

static void MMG3D_gradSimred	(	MMG5_pMesh	mesh,
		MMG5_pPoint	ppt,
		double	m[6],
		double	mext[6],
		int8_t	ridgedir,
		int8_t	iloc,
		int *	ier
	)

inlinestatic

Parameters

mesh	pointer toward the mesh.
ppt	pointer toward the P point structure.
m	metric tensor on point P.
mext	extended metric tensor from Q to P.
ridgedir	normal direction for metric reconstruction on P (on ridge only).
iloc	local index of point P on the edge.
ier	pointer to the local indices (on the edge) of updated points, with bitwise encoding.

Use metric intersection to gradate the anisotropic metric on point P, given the metric extended from point Q on the edge PQ.

On singular (CRN, REQ, NOM) points, the metric on P is isotropic (as in MMG5_defmetsin) and should remain isotropic.
On non-singular ridge points, the metric on P should remain aligned with the ridge directions (thus it is not possible to apply metric intersection, sizes are truncated instead).
On regular boundary points, the metric can be anisotropic on the tangent plane, but it should remain aligned to the normal direction (thus, intersection is used only in the tangent plane and sizes are truncated in the normal direction).
On interior volume points, 3D metric intersection can be used.

Definition at line 1534 of file anisosiz_3d.c.

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◆ MMG3D_gradsiz_ani()

int MMG3D_gradsiz_ani	(	MMG5_pMesh	mesh,
		MMG5_pSol	met
	)

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric structure.

Returns: 1

Enforces mesh gradation by truncating metric field.

On singular (CRN, REQ, NOM) points, the metric on P is isotropic (as in MMG5_defmetsin) and should remain isotropic.
On non-singular ridge points, the metric on P should remain aligned with the ridge directions (thus it is not possible to apply metric intersection, sizes are truncated instead).
On regular boundary points, the metric can be anisotropic on the tangent plane, but it should remain aligned to the normal direction (thus, intersection is used only in the tangent plane and sizes are truncated in the normal direction).
On interior volume points, 3D metric intersection can be used.

Mark the edges belonging to a required entity

Definition at line 2073 of file anisosiz_3d.c.

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◆ MMG3D_gradsizreq_ani()

int MMG3D_gradsizreq_ani	(	MMG5_pMesh	mesh,
		MMG5_pSol	met
	)

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric structure.

Returns: 0 if fail, 1 otherwise.

Enforce mesh gradation by truncating size map.

Mark the edges belonging to a required entity (already done if the classic gradation is enabled)

Definition at line 2210 of file anisosiz_3d.c.

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◆ MMG3D_intextmet()

static int MMG3D_intextmet	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	np,
		double	me[6]
	)

inlinestatic

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric structure.
np	global index of vertex in which we intersect the metrics.
me	physical metric at point np.

Returns: 0 if fail, 1 otherwise.

Intersect the surface metric held in np (supported in tangent plane of np) with 3*3 physical metric in me. For ridge points, this function fill the and fields that contains respectively the specific sizes in the and directions.

Definition at line 1267 of file anisosiz_3d.c.

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◆ MMG3D_printEigenv()

int MMG3D_printEigenv	(	double	dm[3],
		double	vp[3][3]
	)

Parameters

dm	matrix eigenvalues (1x3 array).
vp	eigenvectors matrix (3x3 array, eigenvectors stored by lines).

Returns: 1 if success, 0 if fail.

Print eigendecomposition.

Definition at line 48 of file anisosiz_3d.c.

◆ MMG3D_printErrorMat()

int MMG3D_printErrorMat	(	int8_t	symmat,
		double *	m,
		double *	mr
	)

Parameters

symmat	flag for symmetric(1) or non-symmetric(0) matrix..
m	first matrix (1x6 or 1x9 array).
mr	second matrix (1x6 or 1x9 array).

Returns: 1 if success, 0 if fail.

Print relative error between two matrices, for each matrix entry.

Definition at line 90 of file anisosiz_3d.c.

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◆ MMG3D_printMat()

int MMG3D_printMat	(	int8_t	symmat,
		double *	m
	)

Parameters

symmat	flag for symmetric(1) or non-symmetric(0) matrix..
m	matrix (1x6 or 1x9 array).

Returns: 1 if success, 0 if fail.

Print matrix entries.

Definition at line 67 of file anisosiz_3d.c.

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◆ MMG3D_updatemetreq_ani()

int MMG3D_updatemetreq_ani	(	double *	n,
		double	dn[3],
		double	vp[3][3]
	)

Parameters

n	matrix to update
dn	eigenvalues of n in the coreduction basis
vp	coreduction basis

Returns: 0 if fail, 1 otherwise

Update of the metric n = tP^-1 diag(dn0,dn1,dn2)P^-1, P = (vp[0],vp[1],vp[2]) stored in columns

Definition at line 1867 of file anisosiz_3d.c.

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◆ MMG5_defmetref()

static int MMG5_defmetref	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_int	kel,
		int	iface,
		int	ip
	)

static

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric structure.
kel	index of the triangle in which we work.
iface	face of the tetra on which we work.
ip	index of the point on which we want to compute the metric (in tetra kel).

Returns: 1 if success, 0 otherwise.

Define metric map at a REF vertex of the mesh, associated to the geometric approx of the surface.

Definition at line 606 of file anisosiz_3d.c.

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◆ MMG5_defmetreg()

static int MMG5_defmetreg	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_int	kel,
		int	iface,
		int	ip
	)

static

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric structure.
kel	index of the triangle in which we work.
iface	working face.
ip	index of the point on which we want to compute the metric in (tetra kel).

Returns: 1 if success, 0 otherwise.

Define metric map at a REGULAR vertex of the mesh, associated to the geometric approx of the surface.

Definition at line 875 of file anisosiz_3d.c.

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◆ MMG5_defmetrid()

static int MMG5_defmetrid	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_int	kel,
		int	iface,
		MMG5_int	ip
	)

static

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric structure.
kel	index of the tetra in which we work.
iface	face of the tetra on which we work.
ip	index of the point on which we want to compute the metric (in tetra kel).

Returns: 1 if success, 0 otherwise.

Compute metric tensor associated to a ridge point : convention is a bit weird here : p->m[0] is the specific size in direction t, p->m[1] is the specific size in direction p->m[2] is the specific size in direction , and at each time, metric tensor has to be recomputed, depending on the side.

Definition at line 390 of file anisosiz_3d.c.

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◆ MMG5_defmetsin()

static int MMG5_defmetsin	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_int	kel,
		int	iface,
		int	ip
	)

static

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric structure.
kel	index of the tetra in which we work.
iface	face of the tetra on which we work.
ip	index of the point on which we want to compute the metric (in tetra kel).

Returns: 1 if success, 0 otherwise.

Define metric map at a SINGULARITY (corner, required or non-manifold points) of the geometry, associated to the geometric approx of the surface. metric $=\alpha*Id$ , $\alpha =$ size.

Definition at line 191 of file anisosiz_3d.c.

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◆ MMG5_defmetvol()

static int MMG5_defmetvol	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int8_t	ismet
	)

inlinestatic

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the metric structure.
ismet	1 if user provided metric

Returns: 1 if success, 0 otherwise.

Define metric map at a non-boundary vertex of the mesh. Allocate the metric if needed. Truncate the metric at the hmin/hmax values.

no metric is provided: Set isotropic hmax size at the vertex

First step: search for local parameters

Second step: set metric

A metric is provided: truncate it by hmax/hmin

First step: search for local parameters

Second step: set metric

Definition at line 1101 of file anisosiz_3d.c.

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◆ MMG5_grad2metVol()

static int MMG5_grad2metVol	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	np1,
		int	np2
	)

inlinestatic

Parameters

mesh	pointer toward the mesh.
met	pointer toward the metric structure.
np1	global index of the first edge extremity.
np2	global index of the second edge extremity.

Returns: -1 on failure, else local indices of graded point on the edge (bitwise encoded, so 0 for no update, 1 if the first point iis updated, 2 if the second one is updated, 3 if both). Use the third bit to switch on warning information at output.

Enforces gradation of metric in both extremities of an edge with respect to one other.

Recover normal and metric associated to p1 and p2 (metric can be in ridge storage)

Extend p2 metric and gradate p1

Extend p1 metric and gradate p2 (p1 has already been updated)

Definition at line 1779 of file anisosiz_3d.c.

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◆ MMG5_grad2metVol_extmet()

static void MMG5_grad2metVol_extmet	(	MMG5_pMesh	mesh,
		MMG5_pPoint	ppt,
		double	l,
		double *	m,
		double *	mext
	)

inlinestatic

Parameters

mesh	pointer toward the mesh.
ppt	pointer toward the P point structure.
l	Euclidean length of the edge PQ.
m	metric tensor on point P.
mext	metric tensor extended on Q.

Extend metric tensor from point P to point Q according to an h-variation law applied on each eigenvalue.

Definition at line 1498 of file anisosiz_3d.c.

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◆ MMG5_grad2metVol_getmet()

static int MMG5_grad2metVol_getmet	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_int	ip,
		double	ux,
		double	uy,
		double	uz,
		double *	m,
		int8_t *	ridgedir
	)

inlinestatic

Parameters

mesh	pointer toward the mesh.
met	pointer toward the metric structure.
ip	global point index.
ux	edge vector x-component.
uy	edge vector y-component.
uz	edge vector z-component.
m	point metric (copy, to be filled).
ridgedir	pointer to the index of the normal direction used for ridge metric (on ridge points only).

Returns: 0 on failure, 1 if success.

Get metric tensor from metric structure (pass from ridge storage to classical storage on non-singular ridge points, copy metric on all other points). See: [1]. The Hv-correction is used (gradation with respect to H-variation measure).

Definition at line 1439 of file anisosiz_3d.c.

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◆ MMG5_grad2metVol_setmet()

static void MMG5_grad2metVol_setmet	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		int	ip,
		double *	m,
		int8_t	ridgedir
	)

inlinestatic

Parameters

mesh	pointer toward the mesh.
met	pointer toward the metric structure.
ip	global index of the point.
m	metric tensor on the point (copy).
ridgedir	normal direction for metric reconstruction (on ridge only).

Set new metric tensor to the metric structure (pass from classical storage to ridge storage on non-singular ridge points, copy metric on all other points).

Definition at line 1722 of file anisosiz_3d.c.

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◆ MMG5_grad2metVolreq()

static int MMG5_grad2metVolreq	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_pTetra	pt,
		MMG5_int	npmaster,
		MMG5_int	npslave
	)

inlinestatic

Parameters

mesh	pointer toward the mesh.
met	pointer toward the metric structure.
pt	pointer toward a tetra.
npmaster	edge extremity that cannot be modified
npslave	edge extremity to modify to respect the gradation.

Returns: 1 if the graddation succeed, 0 otherwise

Enforces gradation of metric from required entity toward other using the simultaneous reduction technique (note that as the gradation is propagated, we can be on an edge without a required extremity).

Definition at line 1903 of file anisosiz_3d.c.

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◆ MMG5_moymet()

int MMG5_moymet	(	MMG5_pMesh	mesh,
		MMG5_pSol	met,
		MMG5_pTetra	pt,
		double *	m1
	)

inline

Parameters

mesh	pointer toward the mesh structure.
met	pointer toward the sol structure.
pt	pointer toward a tetra.
m1	computed metric.

Returns: the number of vertices used for the mean computation, 0 if fail.

Compute mean metric over the internal tetra pt. Do not take into account the metric values at ridges points (because we don't know how to build it).

Definition at line 144 of file anisosiz_3d.c.

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Functions

Detailed Description

Function Documentation

◆ MMG3D_chk4ridVertices()

◆ MMG3D_defsiz_ani()

◆ MMG3D_gradSimred()

◆ MMG3D_gradsiz_ani()

◆ MMG3D_gradsizreq_ani()

◆ MMG3D_intextmet()

◆ MMG3D_printEigenv()

◆ MMG3D_printErrorMat()

◆ MMG3D_printMat()

◆ MMG3D_updatemetreq_ani()

◆ MMG5_defmetref()

◆ MMG5_defmetreg()

◆ MMG5_defmetrid()

◆ MMG5_defmetsin()

◆ MMG5_defmetvol()

◆ MMG5_grad2metVol()

◆ MMG5_grad2metVol_extmet()

◆ MMG5_grad2metVol_getmet()

◆ MMG5_grad2metVol_setmet()

◆ MMG5_grad2metVolreq()

◆ MMG5_moymet()