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Tue, Nov 12, 13:00

mesher.c
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/*
Copyright 2008 Guillaume ANCIAUX (guillaume.anciaux@epfl.ch)
This file is part of ParaViewHelper.
ParaViewHelper is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
ParaViewHelper is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ParaViewHelper. If not, see <http://www.gnu.org/licenses/>.
*/
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
static double * coordinates;
static int * connectivity;
inline int compareCoords(double * c1,double * c2){
double tol=0.000001;
double x1,x2,y1,y2,z1,z2;
x1 = c1[0];x2 = c2[0];
if (fabs(x1-x2) > tol && x1 < x2) return -1;
if (fabs(x1-x2) > tol && x2 < x1) return 1;
y1 = c1[1];y2 = c2[1];
if (fabs (y1-y2) > tol && y1 < y2) return -1;
if (fabs (y1-y2) > tol && y2 < y1) return 1;
z1 = c1[2];z2 = c2[2];
if (fabs (z1-z2) > tol && z1 < z2) return -1;
if (fabs (z1-z2) > tol && z2 < z1) return 1;
return 0;
}
inline void AddNode(double * coords,int * nb_node, double x,double y,double z){
coords[3*(*nb_node)+0]=x;
coords[3*(*nb_node)+1]=y;
coords[3*(*nb_node)+2]=z;
(*nb_node)++;
}
inline void AddMedianNode(double *coords,int * nb_node,int n1,int n2){
coords[3*(*nb_node)+0]= (coords[3*n1+0]+coords[3*n2+0])/2.;
coords[3*(*nb_node)+1]= (coords[3*n1+1]+coords[3*n2+1])/2.;
coords[3*(*nb_node)+2]= (coords[3*n1+2]+coords[3*n2+2])/2.;
(*nb_node)++;
}
inline void AddElement(int * countelements,int * indexes,
int n0,int n1,int n2,
int n3,int n4,int n5,int n6,int n7,int n8,int n9){
connectivity[10*(*countelements)+0]=indexes[n0]+1;
connectivity[10*(*countelements)+1]=indexes[n1]+1;
connectivity[10*(*countelements)+2]=indexes[n2]+1;
connectivity[10*(*countelements)+3]=indexes[n3]+1;
connectivity[10*(*countelements)+4]=indexes[n4]+1;
connectivity[10*(*countelements)+5]=indexes[n5]+1;
connectivity[10*(*countelements)+6]=indexes[n6]+1;
connectivity[10*(*countelements)+7]=indexes[n7]+1;
connectivity[10*(*countelements)+8]=indexes[n8]+1;
connectivity[10*(*countelements)+9]=indexes[n9]+1;
(*countelements)++;
}
inline int AddInSorted(double * node_coords,double * coords_array,int * index_array,int N){
int low = 0;
int high = N - 1;
int mid=0;
int i = 0;
if (N == 0){
coords_array[0] = node_coords[0];
coords_array[1] = node_coords[1];
coords_array[2] = node_coords[2];
index_array[0] = -1;
return 0;
}
while (low <= high)
{
mid = (low + high) / 2;
switch (compareCoords(node_coords,coords_array+3*mid)){
case -1: high = mid -1; break;
case 1: low = mid + 1; break;
case 0: return mid;break;//such a node as already been inserted
default: fprintf(stderr,"AAAAAAAAARRRRRRRRRRG !! should not append\n");
}
}
mid = (low + high) / 2;
if (compareCoords(coords_array+3*mid,node_coords)==-1)
++mid;
//shift all elements to insert at the right place the element we want
double * c1 = coords_array+3*mid;
double * c2;
int * i1 = index_array+mid;
int * i2;
for (i = N-1; i >= mid ; --i){
c1 = coords_array+3*i;
c2 = c1+3;
i1 = index_array+i;
i2 = i1+1;
c2[0] = c1[0];
c2[1] = c1[1];
c2[2] = c1[2];
*i2 = * i1;
}
c1[0] = node_coords[0];
c1[1] = node_coords[1];
c1[2] = node_coords[2];
*i1 = -1;
return mid;
}
inline void AddNodesInGlobal(double * coords,int size,int * global_size,double * sorted_coordinates,int * sorted_indexes,int * indexes){
// int size2 = *global_size;
int i;
double c[3];
for (i = 0 ; i < size ; ++i){
//speedup search in sorted list to see if node already exists
c[0] = coords[3*i];c[1] = coords[3*i+1];c[2] = coords[3*i+2];
// if (c[0] == .5 && c[1] == 1 && c[2] == 1) debug_flag = 1;
int ind = AddInSorted(c,sorted_coordinates,sorted_indexes,*global_size);
if (sorted_indexes[ind] == -1) {//node does not already exist
coordinates[3*(*global_size)] = coords[3*i];
coordinates[3*(*global_size)+1] = coords[3*i+1];
coordinates[3*(*global_size)+2] = coords[3*i+2];
indexes[i] = (*global_size);
sorted_indexes[ind] = (*global_size);
(*global_size)++;
}
else {//node already exist
indexes[i] = sorted_indexes[ind];
}
/* fprintf(stderr,"rnodes: start\n"); */
/* for (j = 0 ; j < *global_size ; ++j){ */
/* fprintf(stderr,"(%e,%e,%e,%d)[%d]\n", */
/* sorted_coordinates[3*j],sorted_coordinates[3*j+1],sorted_coordinates[3*j+2], */
/* sorted_indexes[j],j); */
/* } */
/* fprintf(stderr,"end\n"); */
}
}
void write_mesh_UNV(const char* outputfile,int nodes,int elements){
int i;
FILE *op = fopen(outputfile, "w");
//nodal values (not used at present time)
int exp_coord_sys_num = 0;
int disp_coord_sys_num = 0;
int color = 0;
//element values
int fe_descriptor_id = 111;
int phys_prop_tab_num = 2;
int mat_prop_tab_num = 1;
int n_nodes = 4;
//start of node block
fprintf(op," -1\n 2411\n");
for (i=0;i<nodes;i++){
fprintf(op," %d %d %d %d\n",
i,exp_coord_sys_num,disp_coord_sys_num,color);
fprintf(op," %.15e %.15e %.15e\n",
coordinates[3*i+0],
coordinates[3*i+1],
coordinates[3*i+2]);
}
//end of node block
fprintf(op," -1\n");
//start of element block
fprintf(op," -1\n 2412\n");
color = 7;
for (i=0;i<elements;i++){
fprintf(op," %d %d %d %d %d %d\n",
i,fe_descriptor_id,phys_prop_tab_num,mat_prop_tab_num,color,n_nodes);
fprintf(op," %d %d %d %d\n",
connectivity[10*i+0]-1,connectivity[10*i+1]-1,connectivity[10*i+2]-1,connectivity[10*i+3]-1);
}
//end of element block
fprintf(op,"-1\n");
fclose(op);
}
void BuildGridMesh(double ** pos,int ** conn,
int * nodes,int * elements,
double L, double D, double W,
double NL,double ND, double NW)
{
int i,j,k;
int countnodes,countelements;
int nstart,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9;
double lcube,dcube,wcube;
double x0,y0,z0;
// double tol = 0.00001;
lcube = L/NL;
dcube = D/ND;
wcube = W/NW;
*nodes = 35*NL*ND*NW; /* 35 is the number of nodes per unit cube; node is overestimated but identical nodes will be removed later on */
*elements = 12*NL*ND*NW;
*pos = malloc(*nodes*3*sizeof(double));
coordinates = *pos;
double * sorted_coordinates = malloc(*nodes*3*sizeof(double));
int * sorted_indexes = malloc(*nodes*sizeof(int));
*conn = malloc(*elements*10*sizeof(int));
connectivity = *conn;
// int global_size=0;
countnodes=0;
countelements=0;
for (i=0;i<NW;i++)
for (j=0;j<ND;j++)
for (k=0;k<NL;k++)
{
if (countelements%1000 == 0)
fprintf(stderr,"building element %d/%d\n",countelements,*elements);
x0 = lcube*k;
y0 = dcube*j;
z0 = wcube*i;
double temp_coords[3*35];
int indexes[35];
int cpt=0;
/* Base corner nodes */
nstart = countnodes+1;
AddNode(temp_coords,&cpt,x0,y0,z0);
AddNode(temp_coords,&cpt,x0+lcube,y0,z0);
AddNode(temp_coords,&cpt,x0+lcube,y0+dcube,z0);
AddNode(temp_coords,&cpt,x0,y0+dcube,z0);
/* Top corner nodes */
AddNode(temp_coords,&cpt,x0,y0,z0+wcube);
AddNode(temp_coords,&cpt,x0+lcube,y0,z0+wcube);
AddNode(temp_coords,&cpt,x0+lcube,y0+dcube,z0+wcube);
AddNode(temp_coords,&cpt,x0,y0+dcube,z0+wcube);
/* Mid node */
n1=0;n2=6;
AddMedianNode(temp_coords,&cpt,n1,n2);
/* Mid nodes on the faces */
n1=0;n2=1;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=1;n2=2;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=2;n2=3;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=0;n2=3;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=4;n2=5;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=5;n2=6;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=6;n2=7;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=7;n2=4;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=0;n2=4;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=1;n2=5;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=2;n2=6;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=3;n2=7;
AddMedianNode(temp_coords,&cpt,n1,n2);
/* Mid nodes on the diagonals of the faces */
n1=4;n2=1;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=6;n2=1;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=7;n2=2;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=7;n2=0;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=3;n2=1;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=7;n2=5;
AddMedianNode(temp_coords,&cpt,n1,n2);
/* Joining the corner nodes to the central mid node n9 */
n1=0;n2=8;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=1;n2=8;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=2;n2=8;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=3;n2=8;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=4;n2=8;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=5;n2=8;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=6;n2=8;
AddMedianNode(temp_coords,&cpt,n1,n2);
n1=7;n2=8;
AddMedianNode(temp_coords,&cpt,n1,n2);
//memcpy(coordinates+(nstart-1)*3,temp_coords,3*nb_nodes*sizeof(double));
AddNodesInGlobal(temp_coords,cpt,&countnodes,sorted_coordinates,sorted_indexes,indexes);
// countnodes += cpt;
/* CONNECTIVITY */
n0=0;n1=4;n2=1;n3=8;n4=17;n5=21;n6=9;n7=27;n8=31;n9=28;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=1;n1=4;n2=5;n3=8;n4=21;n5=13;n6=18;n7=28;n8=31;n9=32;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=1;n1=5;n2=6;n3=8;n4=18;n5=14;n6=22;n7=28;n8=32;n9=33;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=1;n1=6;n2=2;n3=8;n4=22;n5=19;n6=10;n7=28;n8=33;n9=29;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=2;n1=6;n2=7;n3=8;n4=19;n5=15;n6=23;n7=29;n8=33;n9=34;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=2;n1=7;n2=3;n3=8;n4=23;n5=20;n6=11;n7=29;n8=34;n9=30;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=3;n1=7;n2=0;n3=8;n4=20;n5=24;n6=12;n7=30;n8=34;n9=27;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=7;n1=4;n2=0;n3=8;n4=16;n5=17;n6=24;n7=34;n8=31;n9=27;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=4;n1=7;n2=5;n3=8;n4=16;n5=26;n6=13;n7=31;n8=34;n9=32;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=7;n1=6;n2=5;n3=8;n4=15;n5=14;n6=26;n7=34;n8=33;n9=32;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=0;n1=1;n2=3;n3=8;n4=9;n5=25;n6=12;n7=27;n8=28;n9=30;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
n0=1;n1=2;n2=3;n3=8;n4=10;n5=11;n6=25;n7=28;n8=29;n9=30;
AddElement(&countelements,indexes,n0,n1,n2,n3,n4,n5,n6,n7,n8,n9);
}
*nodes = countnodes;
// write_mesh_UNV("cube.unv",*nodes,*elements);
}

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