/**
* \param mesh pointer toward the mesh structure.
* \param met pointer toward the metric structure.
* \param *warn \a warn is set to 1 if we don't have enough memory to complete mesh.
* \return -1 if failed.
* \return number of new points.
*
* Split edges of length bigger than _MMG5_LOPTL.
*
*/
static int _MMG5_adpspl(MMG5_pMesh mesh,MMG5_pSol met, int* warn) {
MMG5_pTetra pt;
MMG5_pxTetra pxt;
MMG5_Tria ptt;
MMG5_pPoint p0,p1,ppt;
MMG5_pxPoint pxp;
double dd,len,lmax,o[3],to[3],ro[3],no1[3],no2[3],v[3];
int k,ip,ip1,ip2,list[_MMG5_LMAX+2],ilist,ns,ref,ier;
char imax,tag,j,i,i1,i2,ifa0,ifa1;
*warn=0;
ns = 0;
for (k=1; k<=mesh->ne; k++) {
pt = &mesh->tetra[k];
if ( !MG_EOK(pt) || (pt->tag & MG_REQ) ) continue;
pxt = pt->xt ? &mesh->xtetra[pt->xt] : 0;
/* find longest edge */
imax = -1; lmax = 0.0;
for (i=0; i<6; i++) {
if ( pt->xt && (pxt->tag[i] & MG_REQ) ) continue;
ip1 = _MMG5_iare[i][0];
ip2 = _MMG5_iare[i][1];
len = _MMG5_lenedg(mesh,met,pt->v[ip1],pt->v[ip2]);
if ( len > lmax ) {
lmax = len;
imax = i;
}
}
if ( imax==-1 )
fprintf(stdout,"%s:%d: Warning: all edges of tetra %d are required or of length null.\n",
__FILE__,__LINE__,k);
if ( lmax < _MMG5_LOPTL ) continue;
/* proceed edges according to lengths */
ifa0 = _MMG5_ifar[imax][0];
ifa1 = _MMG5_ifar[imax][1];
i = (pt->xt && (pxt->ftag[ifa1] & MG_BDY)) ? ifa1 : ifa0;
j = _MMG5_iarfinv[i][imax];
i1 = _MMG5_idir[i][_MMG5_inxt2[j]];
i2 = _MMG5_idir[i][_MMG5_iprv2[j]];
ip1 = pt->v[i1];
ip2 = pt->v[i2];
p0 = &mesh->point[ip1];
p1 = &mesh->point[ip2];
/* Case of a boundary face */
if ( pt->xt && (pxt->ftag[i] & MG_BDY) ) {
if ( !(MG_GET(pxt->ori,i)) ) continue;
ref = pxt->edg[_MMG5_iarf[i][j]];
tag = pxt->tag[_MMG5_iarf[i][j]];
if ( tag & MG_REQ ) continue;
tag |= MG_BDY;
ilist = _MMG5_coquil(mesh,k,imax,list);
if ( !ilist ) continue;
else if ( ilist < 0 )
return(-1);
if ( tag & MG_NOM ){
if( !_MMG5_BezierNom(mesh,ip1,ip2,0.5,o,no1,to) )
continue;
else if ( MG_SIN(p0->tag) && MG_SIN(p1->tag) ) {
_MMG5_tet2tri(mesh,k,i,&ptt);
_MMG5_nortri(mesh,&ptt,no1);
if ( !MG_GET(pxt->ori,i) ) {
no1[0] *= -1.0;
no1[1] *= -1.0;
no1[2] *= -1.0;
}
}
}
else if ( tag & MG_GEO ) {
if ( !_MMG5_BezierRidge(mesh,ip1,ip2,0.5,o,no1,no2,to) )
continue;
if ( MG_SIN(p0->tag) && MG_SIN(p1->tag) ) {
_MMG5_tet2tri(mesh,k,i,&ptt);
_MMG5_nortri(mesh,&ptt,no1);
no2[0] = to[1]*no1[2] - to[2]*no1[1];
no2[1] = to[2]*no1[0] - to[0]*no1[2];
no2[2] = to[0]*no1[1] - to[1]*no1[0];
dd = no2[0]*no2[0] + no2[1]*no2[1] + no2[2]*no2[2];
if ( dd > _MMG5_EPSD2 ) {
dd = 1.0 / sqrt(dd);
no2[0] *= dd;
no2[1] *= dd;
no2[2] *= dd;
}
}
}
else if ( tag & MG_REF ) {
if ( !_MMG5_BezierRef(mesh,ip1,ip2,0.5,o,no1,to) )
continue;
}
else {
if ( !_MMG5_norface(mesh,k,i,v) ) continue;
if ( !_MMG5_BezierReg(mesh,ip1,ip2,0.5,v,o,no1) )
continue;
}
ier = _MMG5_simbulgept(mesh,list,ilist,o);
if ( !ier ) {
ier = _MMG5_dichoto1b(mesh,list,ilist,o,ro);
memcpy(o,ro,3*sizeof(double));
}
ip = _MMG5_newPt(mesh,o,tag);
if ( !ip ) {
/* reallocation of point table */
_MMG5_POINT_REALLOC(mesh,met,ip,mesh->gap,
*warn=1;
break
,o,tag);
}
//CECILE
if ( met->m )
met->m[ip] = 0.5 * (met->m[ip1]+met->m[ip2]);
//CECILE
ier = _MMG5_split1b(mesh,met,list,ilist,ip,1);
/* if we realloc memory in _MMG5_split1b pt and pxt pointers are not valid */
pt = &mesh->tetra[k];
pxt = pt->xt ? &mesh->xtetra[pt->xt] : 0;
if ( ier < 0 ) {
fprintf(stdout," ## Error: unable to split.\n");
return(-1);
}
else if ( !ier ) {
_MMG5_delPt(mesh,ip);
continue;
}
ns++;
ppt = &mesh->point[ip];
if ( MG_EDG(tag) || (tag & MG_NOM) )
ppt->ref = ref;
else
ppt->ref = pxt->ref[i];
if ( met->m )
met->m[ip] = 0.5 * (met->m[ip1]+met->m[ip2]);
pxp = &mesh->xpoint[ppt->xp];
if ( tag & MG_NOM ){
memcpy(pxp->n1,no1,3*sizeof(double));
memcpy(pxp->t,to,3*sizeof(double));
}
else if ( tag & MG_GEO ) {
memcpy(pxp->n1,no1,3*sizeof(double));
memcpy(pxp->n2,no2,3*sizeof(double));
memcpy(pxp->t,to,3*sizeof(double));
}
else if ( tag & MG_REF ) {
memcpy(pxp->n1,no1,3*sizeof(double));
memcpy(pxp->t,to,3*sizeof(double));
}
else
memcpy(pxp->n1,no1,3*sizeof(double));
}
/* Case of an internal face */
else {
if ( (p0->tag & MG_BDY) && (p1->tag & MG_BDY) ) continue;
/* check if geometry preserved by collapsing edge i */
int chkcol(MMG5_pMesh mesh,MMG5_pSol met,int k,char i,int *list,char typchk) {
MMG5_pTria pt,pt0,pt1,pt2;
MMG5_pPoint p1,p2;
double len,lon,ps,cosnold,cosnnew,kal,n0old[3],n1old[3],n00old[3];
double n0new[3],n1new[3],n00new[3];
int *adja,jel,kel,ip1,ip2,l,ll,ilist;
char i1,i2,j,jj,j2,lj,open,voy;
pt0 = &mesh->tria[0];
pt = &mesh->tria[k];
i1 = _MMG5_inxt2[i];
i2 = _MMG5_iprv2[i];
ip1 = pt->v[i1];
ip2 = pt->v[i2];
if ( typchk == 2 && met->m ) {
lon = _MMG5_lenedg(mesh,met,ip1,ip2,0);
lon = MG_MIN(lon,LSHRT);
lon = MG_MAX(1.0/lon,LLONG);
}
/* collect all triangles around vertex i1 */
ilist = boulechknm(mesh,k,i1,list);
if ( ilist <= 0 ) return(0);
/* check for open ball */
adja = &mesh->adja[3*(k-1)+1];
open = adja[i] == 0;
if ( ilist > 3 ) {
/* check references */
if ( MG_EDG(pt->tag[i2]) ) {
jel = list[1] / 3;
pt1 = &mesh->tria[jel];
if ( abs(pt->ref) != abs(pt1->ref) ) return(0);
}
/* analyze ball */
for (l=1; l<ilist-1+open; l++) {
jel = list[l] / 3;
j = list[l] % 3;
jj = _MMG5_inxt2[j];
j2 = _MMG5_iprv2[j];
pt1 = &mesh->tria[jel];
/* check length */
if ( typchk == 2 && met->m && !MG_EDG(mesh->point[ip2].tag) ) {
ip1 = pt1->v[j2];
len = _MMG5_lenedg(mesh,met,ip1,ip2,0);
if ( len > lon ) return(0);
}
/* check normal flipping */
if ( !_MMG5_nortri(mesh,pt1,n1old) ) return(0);
memcpy(pt0,pt1,sizeof(MMG5_Tria));
pt0->v[j] = ip2;
if ( !_MMG5_nortri(mesh,pt0,n1new) ) return(0);
ps = n1new[0]*n1old[0] + n1new[1]*n1old[1] + n1new[2]*n1old[2];
if ( ps < 0.0 ) return(0);
/* keep normals at 1st triangles */
if ( l == 1 && !open ) {
memcpy(n00old,n1old,3*sizeof(double));
memcpy(n00new,n1new,3*sizeof(double));
}
/* check normals deviation */
if ( !(pt1->tag[j2] & MG_GEO) ) {
if ( l > 1 ) {
cosnold = n0old[0]*n1old[0] + n0old[1]*n1old[1] + n0old[2]*n1old[2];
cosnnew = n0new[0]*n1new[0] + n0new[1]*n1new[1] + n0new[2]*n1new[2];
if ( cosnold < _MMG5_ANGEDG ) {
if ( cosnnew < cosnold ) return(0);
}
else if ( cosnnew < _MMG5_ANGEDG ) return(0);
}
}
/* check geometric support */
if ( l == 1 ) {
pt0->tag[j2] = MG_MAX(pt0->tag[j2],pt->tag[i1]);
}
else if ( l == ilist-2+open ) {
ll = list[ilist-1+open] / 3;
if ( ll > mesh->nt ) return(0);
lj = list[ilist-1+open] % 3;
pt0->tag[jj] = MG_MAX(pt0->tag[jj],mesh->tria[ll].tag[lj]);
}
if ( chkedg(mesh,0) ) return(0);
/* check quality */
if ( typchk == 2 && met->m )
kal = ALPHAD*_MMG5_calelt(mesh,met,pt0);
else
kal = ALPHAD*_MMG5_caltri_iso(mesh,NULL,pt0);
if ( kal < NULKAL ) return(0);
memcpy(n0old,n1old,3*sizeof(double));
memcpy(n0new,n1new,3*sizeof(double));
}
/* check angle between 1st and last triangles */
if ( !open && !(pt->tag[i] & MG_GEO) ) {
cosnold = n00old[0]*n1old[0] + n00old[1]*n1old[1] + n00old[2]*n1old[2];
cosnnew = n00new[0]*n1new[0] + n00new[1]*n1new[1] + n00new[2]*n1new[2];
if ( cosnold < _MMG5_ANGEDG ) {
if ( cosnnew < cosnold ) return(0);
}
else if ( cosnnew < _MMG5_ANGEDG ) return(0);
/* other checks for reference collapse */
jel = list[ilist-1] / 3;
j = list[ilist-1] % 3;
j = _MMG5_iprv2[j];
pt = &mesh->tria[jel];
if ( MG_EDG(pt->tag[j]) ) {
jel = list[ilist-2] / 3;
pt1 = &mesh->tria[jel];
if ( abs(pt->ref) != abs(pt1->ref) ) return(0);
}
}
}
/* specific test: no collapse if any interior edge is EDG */
else if ( ilist == 3 ) {
p1 = &mesh->point[pt->v[i1]];
if ( MS_SIN(p1->tag) ) return(0);
else if ( MG_EDG(pt->tag[i2]) && !MG_EDG(pt->tag[i]) ) return(0);
else if ( !MG_EDG(pt->tag[i2]) && MG_EDG(pt->tag[i]) ) return(0);
else if ( MG_EDG(pt->tag[i2]) && MG_EDG(pt->tag[i]) && MG_EDG(pt->tag[i1]) ) return(0);
/* Check geometric approximation */
jel = list[1] / 3;
j = list[1] % 3;
jj = _MMG5_inxt2[j];
j2 = _MMG5_iprv2[j];
pt0 = &mesh->tria[0];
pt1 = &mesh->tria[jel];
memcpy(pt0,pt1,sizeof(MMG5_Tria));
pt0->v[j] = ip2;
jel = list[2] / 3;
j = list[2] % 3;
pt1 = &mesh->tria[jel];
pt0->tag[jj] |= pt1->tag[j];
pt0->tag[j2] |= pt1->tag[_MMG5_inxt2[j]];
if ( chkedg(mesh,0) ) return(0);
}
/* for specific configurations along open ridge */
else if ( ilist == 2 ) {
if ( !open ) return(0);
jel = list[1] / 3;
j = list[1] % 3;
/* Topological test */
adja = &mesh->adja[3*(jel-1)+1];
kel = adja[j] / 3;
voy = adja[j] % 3;
pt2 = &mesh->tria[kel];
if ( pt2->v[voy] == ip2) return(0);
jj = _MMG5_inxt2[j];
pt1 = &mesh->tria[jel];
if ( abs(pt->ref) != abs(pt1->ref) ) return(0);
else if ( !(pt1->tag[jj] & MG_GEO) ) return(0);
p1 = &mesh->point[pt->v[i1]];
p2 = &mesh->point[pt1->v[jj]];
if ( p2->tag > p1->tag || p2->ref != p1->ref ) return(0);
/* Check geometric approximation */
j2 = _MMG5_iprv2[j];
pt0 = &mesh->tria[0];
memcpy(pt0,pt,sizeof(MMG5_Tria));
pt0->v[i1] = pt1->v[j2];
if ( chkedg(mesh,0) ) return(0);
}
return(ilist);
}