├── .gitignore
├── .travis.yml
├── CMakeLists.txt
├── LICENSE
├── README.md
├── mshint
├── bucket.c
├── hash.c
├── inout.c
├── locelt.c
├── mi_calls.c
├── mi_calls.h
├── mshint.c
├── mshint.h
└── mshint1.c
└── mshmet
├── hash.c
├── inout.c
├── ms_calls.c
├── ms_calls.h
├── mshmet.c
├── mshmet.h
├── mshmet1_2d.c
└── mshmet1_3d.c
/.gitignore:
--------------------------------------------------------------------------------
1 | CMakeFiles/*
2 | Makefile
3 | cmake_install.cmake
4 | CMakeCache.txt
5 | build/*
6 |
--------------------------------------------------------------------------------
/.travis.yml:
--------------------------------------------------------------------------------
1 | language: c++
2 | compiler:
3 | - gcc
4 | - clang
5 | os:
6 | - linux
7 | - osx
8 | before_script:
9 | - git clone https://github.com/ICStoolbox/Commons.git
10 | - mkdir Commons/build
11 | - cd Commons/build
12 | - cmake ..
13 | - make
14 | - make install
15 | - cd -
16 | script:
17 | - mkdir build
18 | - cd build
19 | - cmake ..
20 | - make
21 | - cd -
22 | notifications:
23 | email: false
24 |
--------------------------------------------------------------------------------
/CMakeLists.txt:
--------------------------------------------------------------------------------
1 | cmake_minimum_required(VERSION 2.8)
2 | set(CMAKE_BUILD_TYPE "Release")
3 | INCLUDE_DIRECTORIES( "$ENV{HOME}/include")
4 | LINK_DIRECTORIES( "$ENV{HOME}/lib")
5 | SET(CMAKE_CXX_FLAGS "-Wunused-result -Wno-dev -g -O3")
6 | set(CMAKE_MACOSX_RPATH 1)
7 | set(CMAKE_INSTALL_RPATH_USE_LINK_PATH TRUE)
8 |
9 | #MshInt
10 | project(_mshint)
11 | #library
12 | file( GLOB_RECURSE source_files mshint/*)
13 | file( GLOB_RECURSE header_files mshint/*.h)
14 | ADD_LIBRARY( MshInt_a SHARED ${source_files})
15 | find_library( Commons NAMES Commons HINTS "$ENV{HOME}/lib"
16 | DOC "Commons library (https://github.com/ISCDtoolbox/Commons)")
17 | target_link_libraries( MshInt_a ${Commons})
18 | INSTALL( TARGETS MshInt_a LIBRARY DESTINATION "$ENV{HOME}/lib")
19 | INSTALL( FILES ${header_files} DESTINATION "$ENV{HOME}/include")
20 | #Executable
21 | add_executable( mshint mshint/mshint.c)
22 | target_link_libraries( mshint Commons MshInt_a)
23 | INSTALL( TARGETS mshint RUNTIME DESTINATION "$ENV{HOME}/bin")
24 | set_property(TARGET mshint PROPERTY INSTALL_RPATH_USE_LINK_PATH TRUE)
25 |
26 | #MshMet
27 | project(_mshmet)
28 | #library
29 | file( GLOB_RECURSE source_files mshmet/*)
30 | file( GLOB_RECURSE header_files mshmet/*.h)
31 | ADD_LIBRARY( MshMet_a SHARED ${source_files})
32 | find_library( Commons NAMES Commons HINTS "$ENV{HOME}/lib")
33 | target_link_libraries( MshMet_a ${Commons})
34 | INSTALL( TARGETS MshMet_a LIBRARY DESTINATION "$ENV{HOME}/lib")
35 | INSTALL( FILES ${header_files} DESTINATION "$ENV{HOME}/include")
36 | #Executable
37 | add_executable( mshmet mshmet/mshmet.c)
38 | target_link_libraries( mshmet Commons MshMet_a)
39 | INSTALL( TARGETS mshmet RUNTIME DESTINATION "$ENV{HOME}/bin")
40 | set_property(TARGET mshmet PROPERTY INSTALL_RPATH_USE_LINK_PATH TRUE)
41 |
--------------------------------------------------------------------------------
/LICENSE:
--------------------------------------------------------------------------------
1 | GNU LESSER GENERAL PUBLIC LICENSE
2 | Version 3, 29 June 2007
3 |
4 | Copyright (C) 2007 Free Software Foundation, Inc.
5 | Everyone is permitted to copy and distribute verbatim copies
6 | of this license document, but changing it is not allowed.
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8 |
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10 | the terms and conditions of version 3 of the GNU General Public
11 | License, supplemented by the additional permissions listed below.
12 |
13 | 0. Additional Definitions.
14 |
15 | As used herein, "this License" refers to version 3 of the GNU Lesser
16 | General Public License, and the "GNU GPL" refers to version 3 of the GNU
17 | General Public License.
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20 | other than an Application or a Combined Work as defined below.
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160 |
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164 | permanent authorization for you to choose that version for the
165 | Library.
166 |
--------------------------------------------------------------------------------
/README.md:
--------------------------------------------------------------------------------
1 | # AdaptTools [](https://travis-ci.org/ISCDtoolbox/AdaptTools)
2 |
3 | This directory contains a set of tools for mesh adaptation intwo and three dimensions. They can be used and combined in a Linux/Unix/Posix-compliant shell script wrapper or called as functions from C/C++/F programs.
4 |
5 | #### Mesh adaptation
6 | Mesh adaptation strategy has proved to be very efficient in numerical solutions of PDEs. The ability to adapt the elements geometric properties (size, shape and orientation) according to specific quantities related to the data greatly improves the accuracy of the solution and the convergence rate of numerical schemes.
7 |
8 | The approach pionneered in our group (F. Hecht et al.) relies on the construction of nearly uniform simplicial meshes in a metric space. The underlying metric is related to the (approximate) Hessian of the solution of the problem.
9 | 
10 |
11 | #### Installation
12 | 1. Install the [ISCD Commons Library](https://github.com/ISCDtoolbox/Commons) on your system.
13 | Please refer to the instructions provided on the ICS Commons Library page in order to install this library.
14 |
15 | 2. download the zip archive of AdaptTools or clone this repository:
16 |
17 | ` git clone https://github.com/ISCDtoolbox/AdaptTools.git `
18 |
19 | navigate to the downloaded directory:
20 |
21 | ` cd AdaptTools `
22 |
23 | create a build directory and compile with cmake
24 | ```
25 | mkdir build
26 | cd build
27 | cmake ..
28 | make
29 | make install
30 | ```
31 |
32 | #### Remark on mshmet software
33 | * The `master` branch provides a library mode but, for now, 3D meshes aren't handled;
34 | * the `olderVersionThatWorks` branch provides metric computation for both 2D, 3D volume and 3D surface meshes but doesn't provides the library mode.
35 |
36 | #### Authors & contributors
37 | * these tools have been developed and contributed over the years by several contributors. Main developers are Charles Dapogny (Université J. Fourier), Cécile Dobrzynski (Université de Bordeaux, INRIA) and Pascal Frey (Université Pierre et Marie Curie).
38 | * Contributors to this project are warmly welcomed.
39 |
40 | #### License
41 | AdaptTools is given under the [terms of the GNU Lesser General Public License] (LICENSE.md).
42 |
43 |
--------------------------------------------------------------------------------
/mshint/bucket.c:
--------------------------------------------------------------------------------
1 | #include "mshint.h"
2 |
3 |
4 | /* create and manage bucket structure */
5 | Bucket *bucket_3d(Mesh *mesh,int nmax) {
6 | pPoint ppt;
7 | Bucket *bck;
8 | double dx,dy,dz;
9 | int k,c,i,j,l;
10 |
11 | /* memory alloc */
12 | bck = (Bucket*)calloc(1,sizeof(Bucket));
13 | assert(bck);
14 | bck->size = nmax;
15 | bck->cell = (int*)calloc(nmax*nmax*nmax,sizeof(int));
16 | assert(bck->cell);
17 |
18 | /* insert vertices */
19 | dx = (nmax-1) / (mesh->max[0] - mesh->min[0]);
20 | dy = (nmax-1) / (mesh->max[1] - mesh->min[1]);
21 | dz = (nmax-1) / (mesh->max[2] - mesh->min[2]);
22 | for (k=1; k<=mesh->np; k++) {
23 | ppt = &mesh->point[k];
24 | i = (int)(dx * (ppt->c[0] - mesh->min[0]));
25 | j = (int)(dy * (ppt->c[1] - mesh->min[1]));
26 | l = (int)(dz * (ppt->c[2] - mesh->min[2]));
27 | c = (l*bck->size +j)*bck->size + i;
28 |
29 | if ( !bck->cell[c] ) bck->cell[c] = ppt->s;
30 | }
31 |
32 | return(bck);
33 | }
34 |
35 |
36 | /* create and manage bucket structure */
37 | Bucket *bucket_2d(Mesh *mesh,int nmax) {
38 | pPoint ppt;
39 | Bucket *bck;
40 | double dx,dy;
41 | int k,c,i,j;
42 |
43 | /* memory alloc */
44 | bck = (Bucket*)calloc(1,sizeof(Bucket));
45 | assert(bck);
46 | bck->size = nmax;
47 | bck->cell = (int*)calloc(nmax*nmax,sizeof(int));
48 | assert(bck->cell);
49 |
50 | /* insert vertices */
51 | dx = (bck->size-1) / (mesh->max[0] - mesh->min[0]);
52 | dy = (bck->size-1) / (mesh->max[1] - mesh->min[1]);
53 | for (k=1; k<=mesh->np; k++) {
54 | ppt = &mesh->point[k];
55 | i = (int)(dx * (ppt->c[0] - mesh->min[0]));
56 | j = (int)(dy * (ppt->c[1] - mesh->min[1]));
57 | c = j*bck->size + i;
58 |
59 | if ( !bck->cell[c] ) bck->cell[c] = ppt->s;
60 | }
61 |
62 | return(bck);
63 | }
64 |
65 |
66 | /* return simplex in bucket cell close to c */
67 | int buckin_3d(Mesh *mesh,Bucket *bck,double *c) {
68 | double dx,dy,dz;
69 | int k,i,j,ii,jj,ll,b,d;
70 |
71 | dx = (bck->size-1) / (mesh->max[0] - mesh->min[0]);
72 | dy = (bck->size-1) / (mesh->max[1] - mesh->min[1]);
73 | dz = (bck->size-1) / (mesh->max[2] - mesh->min[2]);
74 | ii = (int)(dx * (c[0] - mesh->min[0]));
75 | jj = (int)(dy * (c[1] - mesh->min[1]));
76 | ll = (int)(dz * (c[2] - mesh->min[2]));
77 | b = (ll*bck->size +jj)*bck->size + ii;
78 |
79 | /* check current cell */
80 | if ( bck->cell[b] )
81 | return(bck->cell[b]);
82 | /* explore neighboring cells */
83 | else {
84 | d = 1;
85 | do {
86 | for (k=MI_MAX(0,ll-d); ksize,ll+d); k++) {
87 | for (j=MI_MAX(0,jj-d); jsize,jj+d); j++) {
88 | for (i=MI_MAX(0,ii-d); isize,ii+d); i++) {
89 | b = (k*bck->size +j)*bck->size + i;
90 | if ( bck->cell[b] ) return(bck->cell[b]);
91 | }
92 | }
93 | }
94 | }
95 | while ( ++d < bck->size/8 );
96 | }
97 |
98 | return(0);
99 | }
100 |
101 |
102 | /* return simplex in bucket cell close to c */
103 | int buckin_2d(Mesh *mesh,Bucket *bck,double *c) {
104 | double dx,dy;
105 | int k,i,j,ii,jj,b,d;
106 |
107 | dx = (bck->size-1) / (mesh->max[0] - mesh->min[0]);
108 | dy = (bck->size-1) / (mesh->max[1] - mesh->min[1]);
109 | ii = (int)(dx * (c[0] - mesh->min[0]));
110 | jj = (int)(dy * (c[1] - mesh->min[1]));
111 | b = jj*bck->size + ii;
112 |
113 | /* check current cell */
114 | if ( bck->cell[b] )
115 | return(bck->cell[b]);
116 | /* explore neighboring cells */
117 | else {
118 | d = 1;
119 | do {
120 | for (j=MI_MAX(0,jj-d); jsize,jj+d); j++) {
121 | for (i=MI_MAX(0,ii-d); isize,ii+d); i++) {
122 | b = j*bck->size + i;
123 | if ( bck->cell[b] ) return(bck->cell[b]);
124 | }
125 | }
126 | }
127 | while ( ++d < bck->size/8 );
128 | }
129 |
130 | return(0);
131 | }
132 |
133 |
134 |
135 |
--------------------------------------------------------------------------------
/mshint/hash.c:
--------------------------------------------------------------------------------
1 | #include "mshint.h"
2 |
3 |
4 | /* data structures */
5 | typedef struct {
6 | int min,max,nxt,elt,ind;
7 | } Cell;
8 |
9 | typedef struct {
10 | Cell *cell;
11 | int nmax,hsiz,hnxt;
12 | } Htab;
13 |
14 |
15 | static int hcode_3d(Tetra *tetra,Htab *ht,int a,int b,int c,int k,int i) {
16 | Cell *pc;
17 | pTetra pt,pt1;
18 | int adj,sum,min,max;
19 |
20 | sum = a+b+c;
21 | if ( sum >= ht->nmax ) return(0);
22 |
23 | /* check if edge ab stored */
24 | sum = sum % ht->hsiz;
25 | pc = &ht->cell[sum];
26 | min = MI_MIN3(a,b,c);
27 | max = MI_MAX3(a,b,c);
28 | if ( !pc->min ) {
29 | pc->min = min;
30 | pc->max = max;
31 | pc->elt = k;
32 | pc->ind = i;
33 | return(1);
34 | }
35 |
36 | /* analyze linked list */
37 | pt = &tetra[k];
38 | do {
39 | pt1 = &tetra[pc->elt];
40 | if ( pc->min == min && pc->max == max ) {
41 | adj = pt1->adj[pc->ind];
42 | if ( !adj ) {
43 | pt->adj[i] = 4*pc->elt+pc->ind;
44 | pt1->adj[pc->ind] = 4*k+i;
45 | }
46 | return(1);
47 | }
48 | else if ( !pc->nxt ) {
49 | pc->nxt = ht->hnxt;
50 | pc = &ht->cell[ht->hnxt];
51 | if ( !pc ) return(0);
52 | pc->min = min;
53 | pc->max = max;
54 | pc->elt = k;
55 | pc->ind = i;
56 | ht->hnxt = pc->nxt;
57 | pc->nxt = 0;
58 |
59 | /* check for size overflow */
60 | if ( !ht->hnxt ) return(0);
61 | return(1);
62 | }
63 | pc = &ht->cell[pc->nxt];
64 | } while (1);
65 |
66 | return(0);
67 | }
68 |
69 |
70 | /* insert edge a,b and update adjacent triangle */
71 | static int hcode_2d(Tria *tria,Htab *ht,int a,int b,int k,int i) {
72 | Cell *pc;
73 | pTria pt,pt1;
74 | int abmin,adj,sum;
75 |
76 | sum = a+b;
77 | if ( sum >= ht->nmax ) return(0);
78 |
79 | /* check if edge ab stored */
80 | pc = &ht->cell[sum];
81 | abmin = MI_MIN(a,b);
82 | if ( !pc->min ) {
83 | pc->min = abmin;
84 | pc->elt = k;
85 | pc->ind = i;
86 | return(1);
87 | }
88 |
89 | /* analyze linked list */
90 | pt = &tria[k];
91 | do {
92 | pt1 = &tria[pc->elt];
93 | if ( pc->min == abmin ) {
94 | adj = pt1->adj[pc->ind];
95 | if ( !adj ) {
96 | pt->adj[i] = 3*pc->elt+pc->ind;
97 | pt1->adj[pc->ind] = 3*k+i;
98 | }
99 | return(1);
100 | }
101 | else if ( !pc->nxt ) {
102 | pc->nxt = ht->hnxt;
103 | pc = &ht->cell[ht->hnxt];
104 | if ( !pc ) return(0);
105 | pc->min = abmin;
106 | pc->elt = k;
107 | pc->ind = i;
108 | ht->hnxt = pc->nxt;
109 | pc->nxt = 0;
110 |
111 | /* check for size overflow */
112 | if ( !ht->hnxt ) return(0);
113 | return(1);
114 | }
115 | pc = &ht->cell[pc->nxt];
116 | } while (1);
117 |
118 | return(0);
119 | }
120 |
121 |
122 | /* hash mesh edges for creating P2 nodes */
123 | int hashel_3d(MIst *mist) {
124 | Htab ht;
125 | pTetra pt;
126 | pPoint ppt;
127 | int k,nt;
128 | char i,i1,i2,i3;
129 |
130 | if ( mist->info.verb != '0' ) fprintf(stdout," Adjacency table: ");
131 |
132 | /* alloc hash */
133 | ht.nmax = (int)(12.71 * mist->msrc.np);
134 | ht.cell = (Cell*)calloc(ht.nmax+2,sizeof(Cell));
135 | assert(ht.cell);
136 |
137 | ht.hsiz = mist->msrc.np;
138 | ht.hnxt = ht.hsiz;
139 | for (k=ht.hsiz; kmsrc.ne; k++) {
145 | pt = &mist->msrc.tetra[k];
146 | for (i=0; i<4; i++) {
147 | i1 = (i+1) % 4;
148 | i2 = (i+2) % 4;
149 | i3 = (i+3) % 4;
150 | if ( !hcode_3d(mist->msrc.tetra,&ht,pt->v[i1],pt->v[i2],pt->v[i3],k,i) ) return(0);
151 | nt++;
152 | }
153 | }
154 |
155 | /* add seed with point */
156 | for (k=1; k<=mist->msrc.ne; k++) {
157 | pt = &mist->msrc.tetra[k];
158 | for (i=0; i<4; i++) {
159 | if ( !pt->adj[i] ) mist->msrc.point[pt->v[i]].s = k;
160 | }
161 | }
162 | for (k=1; k<=mist->msrc.ne; k++) {
163 | pt = &mist->msrc.tetra[k];
164 | for (i=0; i<4; i++) {
165 | ppt = &mist->msrc.point[pt->v[i]];
166 | if ( !ppt->s ) ppt->s = k;
167 | }
168 | }
169 | free(ht.cell);
170 |
171 | if ( mist->info.verb != '0' ) fprintf(stdout," %d updated\n",nt);
172 |
173 | return(1);
174 | }
175 |
176 |
177 | /* build adjacency table */
178 | int hashel_2d(MIst *mist) {
179 | Htab ht;
180 | pTria pt;
181 | pPoint ppt;
182 | int k,na;
183 | char i,i1,i2;
184 |
185 | if ( mist->info.verb == '+' ) fprintf(stdout," Adjacency table: ");
186 |
187 | /* alloc hash */
188 | ht.nmax = (int)(3.71 * mist->msrc.np);
189 | ht.cell = (Cell*)calloc(ht.nmax+2,sizeof(Cell));
190 | assert(ht.cell);
191 |
192 | ht.hsiz = 2 * mist->msrc.np;
193 | ht.hnxt = ht.hsiz;
194 | for (k=ht.hsiz; kmsrc.nt; k++) {
200 | pt = &mist->msrc.tria[k];
201 | for (i=0; i<3; i++) {
202 | i1 = (i+1) % 3;
203 | i2 = (i+2) % 3;
204 | if ( !hcode_2d(mist->msrc.tria,&ht,pt->v[i1],pt->v[i2],k,i) ) return(0);
205 | na++;
206 | }
207 | }
208 |
209 | /* add seed with point */
210 | for (k=1; k<=mist->msrc.nt; k++) {
211 | pt = &mist->msrc.tria[k];
212 | for (i=0; i<3; i++) {
213 | if ( !pt->adj[i] ) mist->msrc.point[pt->v[(i+1)%3]].s = k;
214 | }
215 | }
216 | for (k=1; k<=mist->msrc.nt; k++) {
217 | pt = &mist->msrc.tria[k];
218 | for (i=0; i<3; i++) {
219 | ppt = &mist->msrc.point[pt->v[i]];
220 | if ( !ppt->s ) ppt->s = k;
221 | }
222 | }
223 | free(ht.cell);
224 |
225 | if ( mist->info.verb == '+' ) fprintf(stdout," %d updated\n",na);
226 |
227 | return(1);
228 | }
--------------------------------------------------------------------------------
/mshint/inout.c:
--------------------------------------------------------------------------------
1 | #include "mshint.h"
2 | #include "mi_calls.h"
3 |
4 |
5 | /* read mesh */
6 | int loadMesh(Mesh *mesh,char verb) {
7 | pPoint ppt;
8 | pTetra pt;
9 | pTria pt1;
10 | double dd;
11 | float fp1,fp2,fp3;
12 | int inm,i,k,ref;
13 | char *ptr,data[256];
14 |
15 | strcpy(data,mesh->name);
16 | ptr = strstr(data,".mesh");
17 | if ( !ptr ) {
18 | strcat(data,".meshb");
19 | if ( !(inm = GmfOpenMesh(data,GmfRead,&mesh->ver,&mesh->dim)) ) {
20 | ptr = strstr(data,".mesh");
21 | *ptr = '\0';
22 | strcat(data,".mesh");
23 | if ( !(inm = GmfOpenMesh(data,GmfRead,&mesh->ver,&mesh->dim)) ) {
24 | if ( verb != '0' ) fprintf(stderr," # %s: file not found.\n",data);
25 | return(0);
26 | }
27 | }
28 | }
29 | else if ( !(inm = GmfOpenMesh(data,GmfRead,&mesh->ver,&mesh->dim)) ) {
30 | if ( verb != '0' ) fprintf(stderr," # %s: file not found.\n",data);
31 | return(0);
32 | }
33 |
34 | if ( verb != '0' ) fprintf(stdout," %s:",data);
35 |
36 | mesh->np = GmfStatKwd(inm,GmfVertices);
37 | mesh->nt = GmfStatKwd(inm,GmfTriangles);
38 | mesh->ne = GmfStatKwd(inm,GmfTetrahedra);
39 | if ( !mesh->np ) {
40 | if ( verb != '0' ) fprintf(stdout,"\n # missing data\n");
41 | return(0);
42 | }
43 |
44 | /* memory allocation */
45 | mesh->point = (Point*)calloc(mesh->np+1,sizeof(Point));
46 | assert(mesh->point);
47 | /* read mesh vertices */
48 | GmfGotoKwd(inm,GmfVertices);
49 | if ( mesh->dim == 2 ) {
50 | /* 2d mesh */
51 | mesh->min[0] = mesh->min[1] = FLT_MAX;
52 | mesh->max[0] = mesh->max[1] = -FLT_MAX;
53 | for (k=1; k<=mesh->np; k++) {
54 | ppt = &mesh->point[k];
55 | if ( mesh->ver == GmfFloat ) {
56 | GmfGetLin(inm,GmfVertices,&fp1,&fp2,&ref);
57 | ppt->c[0] = fp1;
58 | ppt->c[1] = fp2;
59 | }
60 | else
61 | GmfGetLin(inm,GmfVertices,&ppt->c[0],&ppt->c[1],&ref);
62 | for (i=0; i<2; i++) {
63 | mesh->min[i] = MI_MIN(ppt->c[i],mesh->min[i]);
64 | mesh->max[i] = MI_MAX(ppt->c[i],mesh->max[i]);
65 | }
66 | }
67 | }
68 | else {
69 | /* 3d mesh */
70 | mesh->min[0] = mesh->min[1] = mesh->min[2] = FLT_MAX;
71 | mesh->max[0] = mesh->max[1] = mesh->max[2] = -FLT_MAX;
72 | for (k=1; k<=mesh->np; k++) {
73 | ppt = &mesh->point[k];
74 | if ( mesh->ver == GmfFloat ) {
75 | GmfGetLin(inm,GmfVertices,&fp1,&fp2,&fp3,&ref);
76 | ppt->c[0] = fp1;
77 | ppt->c[1] = fp2;
78 | ppt->c[2] = fp3;
79 | }
80 | else
81 | GmfGetLin(inm,GmfVertices,&ppt->c[0],&ppt->c[1],&ppt->c[2],&ref);
82 | for (i=0; i<3; i++) {
83 | mesh->min[i] = MI_MIN(ppt->c[i],mesh->min[i]);
84 | mesh->max[i] = MI_MAX(ppt->c[i],mesh->max[i]);
85 | }
86 | }
87 | }
88 | /* read mesh triangles */
89 | if ( mesh->nt > 0 ) {
90 | mesh->tria = (Tria*)calloc(mesh->nt+1,sizeof(Tria));
91 | assert(mesh->tria);
92 | GmfGotoKwd(inm,GmfTriangles);
93 | for (k=1; k<=mesh->nt; k++) {
94 | pt1 = &mesh->tria[k];
95 | GmfGetLin(inm,GmfTriangles,&pt1->v[0],&pt1->v[1],&pt1->v[2],&ref);
96 | }
97 | }
98 | if ( mesh->ne > 0 ) {
99 | mesh->tetra = (Tetra*)calloc(mesh->ne+1,sizeof(Tetra));
100 | assert(mesh->tetra);
101 | GmfGotoKwd(inm,GmfTetrahedra);
102 | for (k=1; k<=mesh->ne; k++) {
103 | pt = &mesh->tetra[k];
104 | GmfGetLin(inm,GmfTetrahedra,&pt->v[0],&pt->v[1],&pt->v[2],&pt->v[3],&ref);
105 | }
106 | }
107 | GmfCloseMesh(inm);
108 |
109 | if ( verb != '0' ) {
110 | fprintf(stdout," %d vertices",mesh->np);
111 | if ( mesh->nt ) fprintf(stdout,", %d triangles",mesh->nt);
112 | if ( mesh->ne ) fprintf(stdout,", %d tetrahedra",mesh->ne);
113 | fprintf(stdout,"\n");
114 | }
115 |
116 | return(1);
117 | }
118 |
119 |
120 | /* load solution */
121 | int loadSol(Sol *sol,char verb) {
122 | double dbuf[GmfMaxTyp];
123 | float fbuf[GmfMaxTyp];
124 | int k,i,inm,keyword;
125 | char *ptr,data[128];
126 |
127 | if ( !sol->name ) {
128 | if ( verb != '0' ) fprintf(stderr," # %s: file not found.\n",sol->name);
129 | return(-1);
130 | }
131 | strcpy(data,sol->name);
132 |
133 | /* remove .mesh extension */
134 | ptr = strstr(data,".mesh");
135 | if ( ptr ) *ptr = '\0';
136 |
137 | /* look for data file */
138 | ptr = strstr(data,".sol");
139 | if ( ptr ) {
140 | inm = GmfOpenMesh(data,GmfRead,&sol->ver,&sol->dim);
141 | }
142 | else {
143 | /* first try to read binary file */
144 | strcat(data,".solb");
145 | inm = GmfOpenMesh(data,GmfRead,&sol->ver,&sol->dim);
146 | if ( !inm ) {
147 | ptr = strstr(data,".solb");
148 | *ptr = '\0';
149 | strcat(data,".sol");
150 | inm = GmfOpenMesh(data,GmfRead,&sol->ver,&sol->dim);
151 | }
152 | }
153 | if ( !inm ) {
154 | if ( verb != '0' ) fprintf(stderr," # %s: file not found.\n",data);
155 | return(-1);
156 | }
157 |
158 | sol->np = GmfStatKwd(inm,GmfSolAtVertices,sol->type,sol->size,sol->typtab[0]);
159 | if ( !sol->np ) {
160 | if ( verb != '0' ) fprintf(stderr," # %s: no points.\n",sol->name);
161 | return(-1);
162 | }
163 |
164 | if ( verb != '0' ) fprintf(stdout," %s:",data);
165 |
166 | sol->u = (double*)calloc(sol->np*sol->size[0],sizeof(double));
167 | assert(sol->u);
168 |
169 | GmfGotoKwd(inm,GmfSolAtVertices);
170 | for (k=0; knp; k++) {
171 | if ( sol->ver == GmfFloat ) {
172 | GmfGetLin(inm,GmfSolAtVertices,fbuf);
173 | for (i=0; isize[0]; i++)
174 | sol->u[k*sol->size[0]+i] = fbuf[i];
175 | }
176 | else {
177 | GmfGetLin(inm,GmfSolAtVertices,dbuf);
178 | for (i=0; isize[0]; i++)
179 | sol->u[k*sol->size[0]+i] = dbuf[i];
180 | }
181 | }
182 |
183 | if ( GmfStatKwd(inm,GmfIterations) ) {
184 | GmfGotoKwd(inm,GmfIterations);
185 | GmfGetLin(inm,GmfIterations,&sol->it);
186 | }
187 | if ( GmfStatKwd(inm,GmfTime) ) {
188 | GmfGotoKwd(inm,GmfTime);
189 | if ( sol->ver == GmfFloat ) {
190 | GmfGetLin(inm,GmfTime,fbuf);
191 | sol->time = (double)fbuf[0];
192 | }
193 | else {
194 | GmfGetLin(inm,GmfTime,&sol->time);
195 | }
196 | }
197 | GmfCloseMesh(inm);
198 |
199 | if ( verb != '0' ) {
200 | fprintf(stdout," %d data\n",sol->np);
201 | }
202 |
203 | return(1);
204 | }
205 |
206 |
207 | /* save solution */
208 | int saveSol(Sol *sol,char verb) {
209 | double dbuf[GmfMaxTyp];
210 | float fbuf[GmfMaxTyp];
211 | int k,i,ia,outm,keyword;
212 | char *ptr,data[128];
213 |
214 | strcpy(data,sol->name);
215 | ptr = strstr(data,".mesh");
216 | if ( ptr ) {
217 | *ptr = '\0';
218 | strcat(data,".sol");
219 | }
220 | else {
221 | ptr = strstr(data,".sol");
222 | if ( !ptr ) strcat(data,".solb");
223 | }
224 |
225 | if ( !(outm = GmfOpenMesh(data,GmfWrite,sol->ver,sol->dim)) ) {
226 | if ( verb != '0' ) fprintf(stderr," # unable to open %s\n",data);
227 | return(0);
228 | }
229 | if ( verb != '0' ) fprintf(stdout," %s:",data);
230 |
231 | /* write sol */
232 | GmfSetKwd(outm,GmfSolAtVertices,sol->np,sol->type[0],sol->typtab[0]);
233 | for (k=0; knp; k++) {
234 | if ( sol->ver == GmfFloat ) {
235 | for (i=0; isize[0]; i++)
236 | fbuf[i] = sol->u[k*sol->size[0]+i];
237 | GmfSetLin(outm,GmfSolAtVertices,fbuf);
238 | }
239 | else {
240 | for (i=0; isize[0]; i++)
241 | dbuf[i] = sol->u[k*sol->size[0]+i];
242 | GmfSetLin(outm,GmfSolAtVertices,dbuf);
243 | }
244 | }
245 |
246 | if ( sol->it > 0 ) {
247 | GmfSetKwd(outm,GmfIterations);
248 | GmfSetLin(outm,GmfIterations,sol->it);
249 | }
250 | if ( sol->time > 0.0 ) {
251 | GmfSetKwd(outm,GmfTime);
252 | if ( sol->ver == GmfFloat ) {
253 | fbuf[0] = sol->time;
254 | GmfSetLin(outm,GmfTime,fbuf[0]);
255 | }
256 | else
257 | GmfSetLin(outm,GmfTime,sol->time);
258 | }
259 | GmfCloseMesh(outm);
260 |
261 | if ( verb != '0' ) fprintf(stdout," %d data\n",sol->np);
262 |
263 | return(1);
264 | }
265 |
266 |
--------------------------------------------------------------------------------
/mshint/locelt.c:
--------------------------------------------------------------------------------
1 | #include "mshint.h"
2 |
3 |
4 | /* return closest point of p on mesh1 */
5 | int closept_3d(Mesh *mesh,double *c) {
6 | pPoint p1;
7 | double ux,uy,uz,dd,dmin;
8 | int i,ipmin;
9 |
10 | dmin = MI_TGV;
11 | ipmin = 0;
12 | for (i=1; i<=mesh->np; i++) {
13 | p1 = &mesh->point[i];
14 | ux = p1->c[0] - c[0];
15 | uy = p1->c[1] - c[1];
16 | uz = p1->c[2] - c[2];
17 | dd = ux*ux + uy*uy + uz*uz;
18 | if ( dd < dmin) {
19 | ipmin = i;
20 | dmin = dd;
21 | }
22 | }
23 |
24 | return(ipmin);
25 | }
26 |
27 |
28 | int closept_2d(pMesh mesh,double *c) {
29 | pPoint p1;
30 | double ux,uy,dd,dmin;
31 | int i,ipmin;
32 |
33 | dmin = MI_TGV;
34 | ipmin = 0;
35 | for (i=1; i<=mesh->np; i++) {
36 | p1 = &mesh->point[i];
37 | ux = p1->c[0] - c[0];
38 | uy = p1->c[1] - c[1];
39 | dd = ux*ux + uy*uy;
40 | if ( dd < dmin) {
41 | ipmin = i;
42 | dmin = dd;
43 | }
44 | }
45 |
46 | return(ipmin);
47 | }
48 |
49 |
50 | /* find element containing c, starting from nsdep, return baryc. coord */
51 | int locelt_3d(pMesh mesh,int nsd,double *c,double *cb) {
52 | pTetra pt;
53 | pPoint p0,p1,p2,p3;
54 | double bx,by,bz,cx,cy,cz,dx,dy,dz,vx,vy,vz,apx,apy,apz;
55 | double eps,vto,vol1,vol2,vol3,vol4,dd;
56 | int i,nsf,nsp;
57 |
58 | nsf = nsd;
59 | nsp = nsd;
60 | ++mesh->mark;
61 | while ( nsf > 0 ) {
62 | pt = &mesh->tetra[nsf];
63 | if ( pt->mark == mesh->mark ) return(nsp);
64 | pt->mark = mesh->mark;
65 |
66 | /* measure of element */
67 | p0 = &mesh->point[pt->v[0]];
68 | p1 = &mesh->point[pt->v[1]];
69 | p2 = &mesh->point[pt->v[2]];
70 | p3 = &mesh->point[pt->v[3]];
71 |
72 | /* barycentric and volume */
73 | bx = p1->c[0] - p0->c[0];
74 | by = p1->c[1] - p0->c[1];
75 | bz = p1->c[2] - p0->c[2];
76 | cx = p2->c[0] - p0->c[0];
77 | cy = p2->c[1] - p0->c[1];
78 | cz = p2->c[2] - p0->c[2];
79 | dx = p3->c[0] - p0->c[0];
80 | dy = p3->c[1] - p0->c[1];
81 | dz = p3->c[2] - p0->c[2];
82 |
83 | /* test volume */
84 | vx = cy*dz - cz*dy;
85 | vy = cz*dx - cx*dz;
86 | vz = cx*dy - cy*dx;
87 | vto = bx*vx + by*vy + bz*vz;
88 | eps = MI_EPS*vto;
89 |
90 | /* barycentric */
91 | apx = c[0] - p0->c[0];
92 | apy = c[1] - p0->c[1];
93 | apz = c[2] - p0->c[2];
94 |
95 | /* p in 2 */
96 | vol2 = apx*vx + apy*vy + apz*vz;
97 | if ( vol2 < eps ) {
98 | nsp = nsf;
99 | nsf = pt->adj[1] / 4;
100 | if ( !nsf ) {
101 | cb[1] = 0.0;
102 | nsf = nsp;
103 | }
104 | else
105 | continue;
106 | }
107 | /* p in 3 */
108 | vx = by*apz - bz*apy;
109 | vy = bz*apx - bx*apz;
110 | vz = bx*apy - by*apx;
111 | vol3 = dx*vx + dy*vy + dz*vz;
112 | if ( vol3 < eps ) {
113 | nsp = nsf;
114 | nsf = pt->adj[2] / 4;
115 | if ( !nsf ) {
116 | cb[2] = 0.0;
117 | nsf = nsp;
118 | }
119 | else
120 | continue;
121 | }
122 | /* p in 4 */
123 | vol4 = -cx*vx - cy*vy - cz*vz;
124 | if ( vol4 < eps ) {
125 | nsp = nsf;
126 | nsf = pt->adj[3] / 4;
127 | if ( !nsf ) {
128 | cb[3] = 0.0;
129 | nsf = nsp;
130 | }
131 | else
132 | continue;
133 | }
134 | /* p in 1 */
135 | vol1 = vto - vol2 - vol3 - vol4;
136 | if ( vol1 < eps ) {
137 | nsp = nsf;
138 | nsf = pt->adj[0] / 4;
139 | if ( !nsf ) {
140 | cb[0] = 0.0;
141 | nsf = nsp;
142 | }
143 | else
144 | continue;
145 | }
146 | dd = fabs(vol1+vol2+vol3+vol4);
147 | if ( dd > MI_EPSD ) {
148 | dd = 1.0 / dd;
149 | cb[0] = vol1 * dd;
150 | cb[1] = vol2 * dd;
151 | cb[2] = vol3 * dd;
152 | cb[3] = vol4 * dd;
153 | }
154 | if ( (cb[0]>=0.0) && (cb[1]>=0.0) && (cb[2]>=0.0) && (cb[3]>=0.0) )
155 | return(nsf);
156 | else
157 | return(-nsf);
158 | }
159 |
160 | return(nsp);
161 | }
162 |
163 |
164 | /* find simplex containing c, starting from nsd, return baryc. coord */
165 | int locelt_2d(Mesh *mesh,int nsd,double *c,double *cb) {
166 | pTria pt;
167 | pPoint p0,p1,p2;
168 | double ax,ay,bx,by,cx,cy,eps;
169 | double aire1,aire2,aire3,dd;
170 | int i,sgn,nsf,nsp;
171 |
172 | nsf = nsd;
173 | nsp = 0;
174 | mesh->mark = ++mesh->mark;
175 | while ( nsf > 0 ) {
176 | pt = &mesh->tria[nsf];
177 | if ( pt->mark == mesh->mark ) return(nsp);
178 | pt->mark = mesh->mark;
179 |
180 | /* area of triangle */
181 | p0 = &mesh->point[pt->v[0]];
182 | p1 = &mesh->point[pt->v[1]];
183 | p2 = &mesh->point[pt->v[2]];
184 | ax = p1->c[0] - p0->c[0];
185 | ay = p1->c[1] - p0->c[1];
186 | bx = p2->c[0] - p0->c[0];
187 | by = p2->c[1] - p0->c[1];
188 | dd = ax*by - ay*bx;
189 | sgn = dd > 0.0 ? 1 : -1;
190 | eps = sgn == 1 ? -MI_EPS*dd : MI_EPS*dd;
191 | /* barycentric */
192 | bx = p1->c[0] - c[0];
193 | by = p1->c[1] - c[1];
194 | cx = p2->c[0] - c[0];
195 | cy = p2->c[1] - c[1];
196 |
197 | /* p in half-plane lambda_0 > 0 */
198 | aire1 = sgn*(bx*cy - by*cx);
199 | if ( aire1 < eps ) {
200 | nsp = nsf;
201 | nsf = pt->adj[0] / 3;
202 | if ( !nsf ) {
203 | cb[0] = 0.0;
204 | nsf = nsp;
205 | }
206 | else
207 | continue;
208 | }
209 | ax = p0->c[0] - c[0];
210 | ay = p0->c[1] - c[1];
211 | aire2 = sgn*(cx*ay - cy*ax);
212 | if ( aire2 < eps ) {
213 | nsp = nsf;
214 | nsf = pt->adj[1] / 3;
215 | if ( !nsf ) {
216 | cb[1] = 0.0;
217 | nsf = nsp;
218 | }
219 | else
220 | continue;
221 | }
222 | aire3 = sgn*dd - aire1 - aire2;
223 | if ( aire3 < eps ) {
224 | nsp = nsf;
225 | nsf = pt->adj[2] / 3;
226 | if ( !nsf ) {
227 | cb[2] = 0.0;
228 | nsf = nsp;
229 | }
230 | else
231 | continue;
232 | }
233 | dd = fabs(aire1+aire2+aire3);
234 | if ( dd > MI_EPSD ) {
235 | dd = 1.0 / dd;
236 | cb[0] = aire1 * dd;
237 | cb[1] = aire2 * dd;
238 | cb[2] = aire3 * dd;
239 | }
240 | if ( (cb[0]>=0.0) && (cb[1]>=0.0) && (cb[2]>=0.0) )
241 | return(nsf);
242 | else
243 | return(-nsf);
244 | }
245 |
246 | return(nsp);
247 | }
248 |
249 |
250 |
251 |
252 |
--------------------------------------------------------------------------------
/mshint/mi_calls.c:
--------------------------------------------------------------------------------
1 | #include "mshint.h"
2 | #include "mi_calls.h"
3 |
4 |
5 | MIst *MI_init(int dim,int ver) {
6 | MIst *mist;
7 |
8 | /* default values */
9 | mist = (MIst*)calloc(1,sizeof(MIst));
10 | memset(&mist->msrc,0,sizeof(Mesh));
11 | memset(&mist->mtgt,0,sizeof(Mesh));
12 | memset(&mist->ssrc,0,sizeof(Sol));
13 | memset(&mist->stgt,0,sizeof(Sol));
14 |
15 | mist->info.verb = '1';
16 |
17 | /* init timer */
18 | tminit(mist->info.ctim,TIMEMAX);
19 | chrono(ON,&mist->info.ctim[0]);
20 |
21 | return(mist);
22 | }
23 |
24 |
25 | /* free global data structure */
26 | int MI_stop(MIst *mist) {
27 | char stim[32];
28 |
29 | /* release memory */
30 | free(mist->msrc.point);
31 | if ( mist->msrc.nt ) free(mist->msrc.tria);
32 | if ( mist->msrc.ne ) free(mist->msrc.tetra);
33 | free(mist->mtgt.point);
34 | if ( mist->mtgt.nt ) free(mist->mtgt.tria);
35 | if ( mist->mtgt.ne ) free(mist->mtgt.tetra);
36 | if ( mist->ssrc.u ) free(mist->ssrc.u);
37 |
38 | chrono(OFF,&mist->info.ctim[0]);
39 | if ( mist->info.verb != '0' ) {
40 | printim(mist->info.ctim[0].gdif,stim);
41 | fprintf(stdout,"\n ** Cumulative time: %s sec.\n",stim);
42 | }
43 |
44 | return(1);
45 | }
46 |
47 |
48 | int MI_mshint(MIst *mist) {
49 | int ier;
50 |
51 | if ( mist->msrc.dim == 2 )
52 | ier = mshint1_2d(mist);
53 | else
54 | ier = mshint1_3d(mist);
55 |
56 | return(ier);
57 | }
58 |
59 |
--------------------------------------------------------------------------------
/mshint/mi_calls.h:
--------------------------------------------------------------------------------
1 | #ifndef __MI_CALLS_H
2 | #define __MI_CALLS_H
3 |
4 | /* data structure */
5 | typedef struct _MIst MIst;
6 |
7 | /* prototypes */
8 | MIst *MI_init(int dim, int ver);
9 | int MI_stop(MIst *mist);
10 |
11 | int MI_mshint(MIst *mist);
12 |
13 |
14 | #endif
15 |
--------------------------------------------------------------------------------
/mshint/mshint.c:
--------------------------------------------------------------------------------
1 | /*
2 | * main program file for mshint
3 | * (C) Copyright 1997 - , ICS-SU
4 | *
5 | * This file is part of mshint.
6 | *
7 | * mshint is free software: you can redistribute it and/or modify it under
8 | * the terms of the GNU Lesser General Public License as published by the
9 | * Free Software Foundation, either version 3 of the License, or
10 | * (at your option) any later version.
11 | *
12 | * mshint is distributed in the hope that it will be useful,
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 | * GNU Lesser General Public License for more details.
16 | *
17 | * You should have received a copy of the GNU Lesser General Public License
18 | * along with AdaptTools. If not, see .
19 | */
20 | #include "mshint.h"
21 | #include "mi_calls.h"
22 |
23 |
24 | static void excfun(int sigid) {
25 | fprintf(stdout,"\n # unexpected error:"); fflush(stdout);
26 | switch(sigid) {
27 | case SIGABRT:
28 | fprintf(stdout," abnormal stop\n"); break;
29 | case SIGBUS:
30 | fprintf(stdout," code error...\n"); break;
31 | case SIGFPE:
32 | fprintf(stdout," floating-point exception\n"); break;
33 | case SIGILL:
34 | fprintf(stdout," illegal instruction\n"); break;
35 | case SIGSEGV:
36 | fprintf(stdout," segmentation fault.\n"); break;
37 | case SIGTERM:
38 | case SIGINT:
39 | fprintf(stdout," programm killed.\n"); break;
40 | }
41 | fprintf(stdout," # no data file saved.\n");
42 | exit(1);
43 | }
44 |
45 |
46 | static void usage(char *prog) {
47 | fprintf(stdout,"\n usage: %s [+/-v | -h | -e] source[.mesh] [-s data[.sol]] target[.mesh] [-o output[.sol]]\n",prog);
48 |
49 | fprintf(stdout,"\nOptions and flags:\n\
50 | --help show the syntax and exit.\n\
51 | --version show the version and date of release and exit.\n\n\
52 | -v suppress any message (for use with function call).\n\
53 | +v increase the verbosity level for output.\n\n\
54 | source.mesh name of the source mesh\n\
55 | target.mesh name of the target mesh\n\
56 | data.sol name of file containing the solution\n\
57 | output.sol name of the output file\n");
58 | exit(1);
59 | }
60 |
61 |
62 | /* parsing arguments on command line */
63 | static int parsar(int argc,char *argv[],MIst *mist) {
64 | int i;
65 | char *ptr,*data;
66 |
67 | i = 1;
68 | while ( i < argc ) {
69 | if ( (*argv[i] == '-') || (*argv[i ]== '+') ) {
70 | switch(argv[i][1]) {
71 | case '-': /* on-line help */
72 | if ( !strcmp(argv[i],"--help") )
73 | usage(argv[0]);
74 | else if ( !strcmp(argv[i],"--version") ) {
75 | fprintf(stdout,"%s: version: %s release: %s\n",argv[0],MI_VER,MI_REL);
76 | exit(1);
77 | }
78 | break;
79 | case 'h': /* on-line help */
80 | case '?':
81 | usage(argv[0]);
82 | break;
83 | case 'v':
84 | if ( !strcmp(argv[i],"-v") )
85 | mist->info.verb = '0';
86 | else if ( !strcmp(argv[i],"+v") )
87 | mist->info.verb = '+';
88 | else {
89 | fprintf(stderr,"%s: illegal option %s\n",argv[0],argv[i]);
90 | usage(argv[0]);
91 | }
92 | break;
93 | case 's':
94 | if ( (!strcmp(argv[i],"-s")) || (!strcmp(argv[i],"-sol")) ) {
95 | if ( ++i < argc && isascii(argv[i][0]) && argv[i][0]!='-' ) {
96 | data = (char*)calloc(strlen(argv[i])+10,sizeof(char));
97 | assert ( data );
98 | strcpy(data,argv[i]);
99 | ptr = strstr(data,".solb");
100 |
101 | char ext[8];
102 | /* Binary sol file */
103 | if ( ptr ) {
104 | strcpy(ext, ".solb");
105 | }
106 | else {
107 | /* Ascii sol file */
108 | strcpy(ext, ".sol");
109 | }
110 |
111 | ptr = strstr(data,".sol");
112 | if ( ptr ) { *ptr = '\0'; }
113 | strcat(data,ext);
114 | mist->ssrc.name = data;
115 |
116 | }
117 | else {
118 | fprintf(stderr,"%s: -s option: please provide a valid string.\n",argv[0]);
119 | exit(EXIT_FAILURE);
120 | }
121 | }
122 | else {
123 | fprintf(stderr,"%s: illegal option %s\n",argv[0],argv[i]);
124 | usage(argv[0]);
125 | }
126 | break;
127 |
128 | default:
129 | fprintf(stderr,"%s: illegal option %s\n",argv[0],argv[i]);
130 | usage(argv[0]);
131 | }
132 | }
133 | else {
134 | if ( mist->msrc.name == NULL ) {
135 | data = (char*)calloc(strlen(argv[i])+10,sizeof(char));
136 | strcpy(data,argv[i]);
137 | ptr = strstr(data,".mesh");
138 | if ( !ptr ) strcat(data,".mesh");
139 | mist->msrc.name = data;
140 | }
141 | else if ( mist->mtgt.name == NULL ) {
142 | data = (char*)calloc(strlen(argv[i])+10,sizeof(char));
143 | strcpy(data,argv[i]);
144 | ptr = strstr(data,".mesh");
145 | if ( !ptr ) strcat(data,".mesh");
146 | mist->mtgt.name = data;
147 | }
148 | else {
149 | fprintf(stdout,"%s: illegal option %s\n",argv[0],argv[i]);
150 | usage(argv[0]);
151 | }
152 | }
153 | i++;
154 | }
155 |
156 | /* check params */
157 | if ( (mist->msrc.name == NULL) || (mist->mtgt.name == NULL) ) {
158 | if ( mist->info.verb != '0' ) fprintf(stderr,"%s: missing argument\n",argv[0]);
159 | usage(argv[0]);
160 | }
161 | if ( mist->ssrc.name == NULL) {
162 | data = (char*)calloc(strlen(mist->msrc.name)+10,sizeof(char));
163 | strcpy(data,mist->msrc.name);
164 | ptr = strstr(data,".mesh");
165 | if ( ptr ) *ptr = '\0';
166 | strcat(data,".sol");
167 | mist->ssrc.name = data;
168 | }
169 |
170 | return(1);
171 | }
172 |
173 |
174 | int main(int argc,char **argv) {
175 | MIst mist;
176 | int ier;
177 | char stim[32];
178 |
179 | memset(&mist,0,sizeof(MIst));
180 | tminit(mist.info.ctim,TIMEMAX);
181 | chrono(ON,&mist.info.ctim[0]);
182 |
183 | /* trap exceptions */
184 | signal(SIGABRT,excfun);
185 | signal(SIGFPE,excfun);
186 | signal(SIGILL,excfun);
187 | signal(SIGSEGV,excfun);
188 | signal(SIGTERM,excfun);
189 | signal(SIGINT,excfun);
190 | signal(SIGBUS,excfun);
191 |
192 | /* init structure */
193 | memset(&mist.msrc,0,sizeof(Mesh));
194 | memset(&mist.mtgt,0,sizeof(Mesh));
195 | memset(&mist.ssrc,0,sizeof(Sol));
196 | memset(&mist.stgt,0,sizeof(Sol));
197 |
198 | /* default values */
199 | mist.info.verb = '1';
200 |
201 | /* parse command line */
202 | if ( !parsar(argc,argv,&mist) ) return(1);
203 |
204 | /* loading data */
205 | chrono(ON,&mist.info.ctim[1]);
206 |
207 | if ( mist.info.verb != '0' ) {
208 | fprintf(stdout," - MSHINT, Release %s, %s\n %s\n\n",MI_VER,MI_REL,MI_CPY);
209 | fprintf(stdout," - LOADING DATA\n");
210 | }
211 |
212 | /* loading meshes and solution */
213 | ier = loadMesh(&mist.msrc,mist.info.verb);
214 | if ( ier <= 0 ) return(1);
215 | ier = loadMesh(&mist.mtgt,mist.info.verb);
216 | if ( ier <= 0 ) return(1);
217 | ier = loadSol(&mist.ssrc,mist.info.verb);
218 | if ( ier <= 0 ) return(1);
219 |
220 | /* allocating memory */
221 | mist.stgt.dim = mist.ssrc.dim;
222 | mist.stgt.ver = mist.ssrc.ver;
223 | mist.stgt.np = mist.mtgt.np;
224 | mist.stgt.it = mist.ssrc.it;
225 | mist.stgt.time = mist.ssrc.time;
226 | memcpy(mist.stgt.type,mist.ssrc.type,2*sizeof(int));
227 | memcpy(mist.stgt.size,mist.ssrc.size,2*sizeof(int));
228 | memcpy(&mist.stgt.typtab[0],&mist.ssrc.typtab[0],mist.ssrc.type[0]*sizeof(int));
229 | memcpy(&mist.stgt.typtab[1],&mist.ssrc.typtab[1],mist.ssrc.type[1]*sizeof(int));
230 | if ( mist.stgt.np > 0 ) {
231 | mist.stgt.u = (double*)calloc(mist.stgt.np,mist.stgt.size[0]*sizeof(double));
232 | assert(mist.stgt.u);
233 | }
234 |
235 | /* set up adjacencies */
236 | if ( mist.msrc.dim == 2 )
237 | hashel_2d(&mist);
238 | else
239 | hashel_3d(&mist);
240 |
241 | chrono(OFF,&mist.info.ctim[1]);
242 | printim(mist.info.ctim[1].gdif,stim);
243 | if ( mist.info.verb != '0' ) fprintf(stdout," - COMPLETED: %s\n",stim);
244 |
245 | if ( !mist.stgt.name ) {
246 | mist.stgt.name = (char *)calloc(128,sizeof(char));
247 | assert(mist.stgt.name);
248 | strcpy(mist.stgt.name,mist.mtgt.name);
249 | }
250 |
251 | /* L2 projection */
252 | chrono(ON,&mist.info.ctim[2]);
253 | if ( mist.info.verb != '0' ) fprintf(stdout,"\n ** MODULE MSHINT: %s\n",MI_VER);
254 | ier = MI_mshint(&mist);
255 | chrono(OFF,&mist.info.ctim[2]);
256 | if ( mist.info.verb != '0' ) {
257 | printim(mist.info.ctim[2].gdif,stim);
258 | if ( ier > 0 )
259 | fprintf(stdout," ** COMPLETED: %s\n\n",stim);
260 | else
261 | fprintf(stdout," ** NOT COMPLETED!: %s\n\n",stim);
262 | }
263 |
264 | /* save file */
265 | if ( mist.info.verb != '0' ) fprintf(stdout," - WRITING DATA\n");
266 | chrono(ON,&mist.info.ctim[3]);
267 |
268 | ier = saveSol(&mist.stgt,0);
269 | if ( !ier ) return(1);
270 | chrono(OFF,&mist.info.ctim[3]);
271 | if ( mist.info.verb != '0' ) {
272 | printim(mist.info.ctim[3].gdif,stim);
273 | fprintf(stdout," - COMPLETED: %s\n",stim);
274 | }
275 |
276 | /* free mem */
277 | free(mist.msrc.point);
278 | if ( mist.msrc.nt ) free(mist.msrc.tria);
279 | if ( mist.msrc.ne ) free(mist.msrc.tetra);
280 | free(mist.mtgt.point);
281 | if ( mist.mtgt.nt ) free(mist.mtgt.tria);
282 | if ( mist.mtgt.ne ) free(mist.mtgt.tetra);
283 | if ( mist.ssrc.u ) free(mist.ssrc.u);
284 |
285 | chrono(OFF,&mist.info.ctim[0]);
286 | if ( mist.info.verb != '0' ) {
287 | printim(mist.info.ctim[0].gdif,stim);
288 | fprintf(stdout,"\n ** Cumulative time: %s.\n",stim);
289 | }
290 |
291 | return(0);
292 | }
293 |
294 |
295 |
--------------------------------------------------------------------------------
/mshint/mshint.h:
--------------------------------------------------------------------------------
1 | #ifndef _MSHINT_H
2 | #define _MSHINT_H
3 |
4 | #include
5 | #include
6 | #include
7 | #include
8 | #include
9 | #include
10 | #include
11 | #include
12 | #include
13 |
14 | #include "chrono.h"
15 | #include "libmesh5.h"
16 | #include "mi_calls.h"
17 |
18 |
19 | #define MI_VER "4.1a"
20 | #define MI_REL "Mar. 9, 2016"
21 | #define MI_CPY "(C) Copyright 1997- , ICS-SU"
22 |
23 | #define MI_MAX(a,b) (((a) > (b)) ? (a) : (b))
24 | #define MI_MIN(a,b) (((a) < (b)) ? (a) : (b))
25 | #define MI_MIN3(a,b,c) ( (a) < (b) ? ((a)<(c) ? (a) : (c)) : ((b)<(c) ? (b) : (c)) )
26 | #define MI_MAX3(a,b,c) ( (a) > (b) ? ((a)>(c) ? (a) : (c)) : ((b)>(c) ? (b) : (c)) )
27 |
28 | #define BUCKSIZ 32
29 | #define MI_EPS 1.e-6
30 | #define MI_EPSD 1.e-200
31 | #define MI_TGV 1.e30
32 |
33 |
34 | typedef struct {
35 | double c[3];
36 | int s;
37 | } Point;
38 | typedef Point * pPoint;
39 |
40 | typedef struct {
41 | int v[3],adj[3],mark;
42 | } Tria;
43 | typedef Tria * pTria;
44 |
45 | typedef struct {
46 | int v[4],adj[4],mark;
47 | } Tetra;
48 | typedef Tetra * pTetra;
49 |
50 | typedef struct {
51 | char verb;
52 | mytime ctim[TIMEMAX];
53 | } Info;
54 |
55 | typedef struct {
56 | double min[3],max[3];
57 | int dim,ver,np,nt,ne,mark;
58 | char *name;
59 | pPoint point;
60 | pTria tria;
61 | pTetra tetra;
62 | } Mesh;
63 | typedef Mesh * pMesh;
64 |
65 | typedef struct {
66 | int dim,ver,np,it,type[2],size[2],typtab[2][GmfMaxTyp];
67 | double *u,time;
68 | char *name;
69 | } Sol;
70 | typedef Sol * pSol;
71 |
72 | struct _MIst {
73 | Mesh msrc,mtgt;
74 | Sol ssrc,stgt;
75 | Info info;
76 | };
77 |
78 | typedef struct {
79 | int *cell,size;
80 | } Bucket;
81 |
82 |
83 | /* prototypes */
84 | int loadMesh(Mesh *mesh,char verb);
85 | int loadSol(Sol *sol,char verb);
86 | int saveSol(Sol *sol,char verb);
87 | int hashel_2d(MIst *mist);
88 | int hashel_3d(MIst *mist);
89 | int mshint1_2d(MIst *mist);
90 | int mshint1_3d(MIst *mist);
91 | Bucket *bucket_2d(Mesh *mesh,int nmax);
92 | Bucket *bucket_3d(Mesh *mesh,int nmax);
93 | int buckin_2d(Mesh *mesh,Bucket *bck,double *c);
94 | int buckin_3d(Mesh *mesh,Bucket *bck,double *c);
95 | int closept_2d(pMesh mesh,double *c);
96 | int closept_3d(pMesh mesh,double *c);
97 | int locelt_2d(pMesh mesh,int nsd,double *c,double *cb);
98 | int locelt_3d(pMesh mesh,int nsd,double *c,double *cb);
99 |
100 |
101 | #endif
102 |
--------------------------------------------------------------------------------
/mshint/mshint1.c:
--------------------------------------------------------------------------------
1 | #include "mshint.h"
2 |
3 |
4 | int mshint1_3d(MIst *mist) {
5 | Bucket *bck;
6 | pPoint ppt;
7 | pTetra pt;
8 | double *u,*ua,*ub,*uc,*ud,cb[4];
9 | int i,k,iel,ip,nb,np;
10 |
11 | /* interpolation */
12 | bck = bucket_3d(&mist->msrc,BUCKSIZ);
13 | if ( !bck ) return(0);
14 |
15 | if ( mist->info.verb != '0' ) {
16 | fprintf(stdout," Nodal interpolation: ");
17 | fflush(stdout);
18 | }
19 |
20 | nb = np = 0;
21 | for (k=1; k<=mist->mtgt.np; k++) {
22 | ppt = &mist->mtgt.point[k];
23 | /* get seed element */
24 | iel = buckin_3d(&mist->msrc,bck,ppt->c);
25 | if ( iel ) {
26 | iel = locelt_3d(&mist->msrc,iel,ppt->c,cb);
27 | if ( iel > 0 ) {
28 | pt = &mist->msrc.tetra[iel];
29 | u = &mist->stgt.u[(k-1)*mist->stgt.size[0]];
30 | ua = &mist->ssrc.u[(pt->v[0]-1)*mist->ssrc.size[0]];
31 | ub = &mist->ssrc.u[(pt->v[1]-1)*mist->ssrc.size[0]];
32 | uc = &mist->ssrc.u[(pt->v[2]-1)*mist->ssrc.size[0]];
33 | ud = &mist->ssrc.u[(pt->v[3]-1)*mist->ssrc.size[0]];
34 |
35 | for (i=0; istgt.size[0]; i++)
36 | u[i] = cb[0]*ua[i] + cb[1]*ub[i] + cb[2]*uc[i] + cb[3]*uc[i];
37 | }
38 | }
39 | if ( iel < 1 ) {
40 | /* exhaustive search */
41 | ip = closept_3d(&mist->msrc,ppt->c);
42 | if ( ip ) {
43 | ua = &mist->ssrc.u[(ip-1)*mist->ssrc.size[0]];
44 | u = &mist->stgt.u[(k-1)*mist->stgt.size[0]];
45 | memcpy(u,ua,mist->stgt.size[0]*sizeof(double));
46 | np++;
47 | }
48 | else
49 | nb++;
50 | }
51 | }
52 | if ( mist->info.verb != '0' ) {
53 | fprintf(stdout,"%d, %d prox.\n",mist->mtgt.np,np);
54 | if ( nb > 0 ) fprintf(stdout," # Warning: %d nodes failed.\n",nb);
55 | }
56 |
57 | free(bck->cell);
58 | free(bck);
59 |
60 | return(nb == 0);
61 | }
62 |
63 |
64 | int mshint1_2d(MIst *mist) {
65 | Bucket *bck;
66 | pPoint ppt;
67 | pTria pt;
68 | double *u,*ua,*ub,*uc,cb[3];
69 | int k,i,iel,ip,nb;
70 |
71 | /* interpolation */
72 | bck = bucket_2d(&mist->msrc,BUCKSIZ);
73 | if ( !bck ) return(0);
74 |
75 | if ( mist->info.verb != '0' ) {
76 | fprintf(stdout," Nodal interpolation: ");
77 | fflush(stdout);
78 | }
79 | puts("debut\n----------------------\n");
80 | nb = 0;
81 | for (k=1; k<=mist->mtgt.np; k++) {
82 | ppt = &mist->mtgt.point[k];
83 | /* get seed element */
84 | iel = buckin_2d(&mist->msrc,bck,ppt->c);
85 | if ( iel > 0 ) {
86 | iel = locelt_2d(&mist->msrc,iel,ppt->c,cb);
87 | if ( iel > 0 ) {
88 | pt = &mist->msrc.tria[iel];
89 | u = &mist->stgt.u[(k-1)*mist->stgt.size[0]];
90 | ua = &mist->ssrc.u[(pt->v[0]-1)*mist->ssrc.size[0]];
91 | ub = &mist->ssrc.u[(pt->v[1]-1)*mist->ssrc.size[0]];
92 | uc = &mist->ssrc.u[(pt->v[2]-1)*mist->ssrc.size[0]];
93 | for (i=0; istgt.size[0]; i++)
94 | u[i] = cb[0]*ua[i] + cb[1]*ub[i] + cb[2]*uc[i];
95 | }
96 | }
97 | if ( iel < 1 ) {
98 | ip = closept_2d(&mist->msrc,ppt->c);
99 | if ( ip > 0 ) {
100 | ua = &mist->ssrc.u[(ip-1)*mist->ssrc.size[0]];
101 | u = &mist->stgt.u[(k-1)*mist->stgt.size[0]];
102 | memcpy(u,ua,mist->stgt.size[0]*sizeof(double));
103 | }
104 | else
105 | nb++;
106 | }
107 | }
108 | if ( mist->info.verb != '0' ) {
109 | fprintf(stdout,"%d\n",mist->mtgt.np);
110 | if ( nb > 0 ) fprintf(stdout," # Warning: %d nodes failed.\n",nb);
111 | }
112 |
113 | free(bck->cell);
114 | free(bck);
115 |
116 | return(nb == 0);
117 | }
118 |
--------------------------------------------------------------------------------
/mshmet/hash.c:
--------------------------------------------------------------------------------
1 | #include "mshmet.h"
2 |
3 |
4 | /* data structures */
5 | typedef struct {
6 | int min,max,nxt,elt,ind;
7 | } Cell;
8 |
9 | typedef struct {
10 | Cell *cell;
11 | int nmax,hsiz,hnxt;
12 | } Htab;
13 |
14 |
15 | static int hcode_3d(Tetra *tetra,Htab *ht,int a,int b,int c,int k,int i) {
16 | Cell *pc;
17 | pTetra pt,pt1;
18 | int adj,sum,min,max;
19 |
20 | sum = a+b+c;
21 | if ( sum >= ht->nmax ) return(0);
22 |
23 | /* check if edge ab stored */
24 | sum = sum % ht->hsiz;
25 | pc = &ht->cell[sum];
26 | min = MS_MIN3(a,b,c);
27 | max = MS_MAX3(a,b,c);
28 | if ( !pc->min ) {
29 | pc->min = min;
30 | pc->max = max;
31 | pc->elt = k;
32 | pc->ind = i;
33 | return(1);
34 | }
35 |
36 | /* analyze linked list */
37 | pt = &tetra[k];
38 | do {
39 | pt1 = &tetra[pc->elt];
40 | if ( pc->min == min && pc->max == max ) {
41 | adj = pt1->adj[pc->ind];
42 | if ( !adj ) {
43 | pt->adj[i] = 4*pc->elt+pc->ind;
44 | pt1->adj[pc->ind] = 4*k+i;
45 | }
46 | return(1);
47 | }
48 | else if ( !pc->nxt ) {
49 | pc->nxt = ht->hnxt;
50 | pc = &ht->cell[ht->hnxt];
51 | if ( !pc ) return(0);
52 | pc->min = min;
53 | pc->max = max;
54 | pc->elt = k;
55 | pc->ind = i;
56 | ht->hnxt = pc->nxt;
57 | pc->nxt = 0;
58 |
59 | /* check for size overflow */
60 | if ( !ht->hnxt ) return(0);
61 | return(1);
62 | }
63 | pc = &ht->cell[pc->nxt];
64 | } while (1);
65 |
66 | return(0);
67 | }
68 |
69 |
70 | /* insert edge a,b and update adjacent triangle */
71 | static int hcode_2d(Tria *tria,Htab *ht,int a,int b,int k,int i) {
72 | Cell *pc;
73 | pTria pt,pt1;
74 | int abmin,adj,sum;
75 |
76 | sum = a+b;
77 | if ( sum >= ht->nmax ) return(0);
78 |
79 | /* check if edge ab stored */
80 | pc = &ht->cell[sum];
81 | abmin = MS_MIN(a,b);
82 | if ( !pc->min ) {
83 | pc->min = abmin;
84 | pc->elt = k;
85 | pc->ind = i;
86 | return(1);
87 | }
88 |
89 | /* analyze linked list */
90 | pt = &tria[k];
91 | do {
92 | pt1 = &tria[pc->elt];
93 | if ( pc->min == abmin ) {
94 | adj = pt1->adj[pc->ind];
95 | if ( !adj ) {
96 | pt->adj[i] = 3*pc->elt+pc->ind;
97 | pt1->adj[pc->ind] = 3*k+i;
98 | }
99 | return(1);
100 | }
101 | else if ( !pc->nxt ) {
102 | pc->nxt = ht->hnxt;
103 | pc = &ht->cell[ht->hnxt];
104 | if ( !pc ) return(0);
105 | pc->min = abmin;
106 | pc->elt = k;
107 | pc->ind = i;
108 | ht->hnxt = pc->nxt;
109 | pc->nxt = 0;
110 |
111 | /* check for size overflow */
112 | if ( !ht->hnxt ) return(0);
113 | return(1);
114 | }
115 | pc = &ht->cell[pc->nxt];
116 | } while (1);
117 |
118 | return(0);
119 | }
120 |
121 |
122 | /* hash mesh edges for creating P2 nodes */
123 | int hashel_3d(MSst *msst) {
124 | Htab ht;
125 | pTetra pt;
126 | pPoint ppt;
127 | int k,nt;
128 | char i,i1,i2,i3;
129 |
130 | if ( msst->info.verb != '0' ) fprintf(stdout," Adjacency table: ");
131 |
132 | /* alloc hash */
133 | ht.nmax = (int)(12.71 * msst->info.np);
134 | ht.cell = (Cell*)calloc(ht.nmax+2,sizeof(Cell));
135 | assert(ht.cell);
136 |
137 | ht.hsiz = msst->info.np;
138 | ht.hnxt = ht.hsiz;
139 | for (k=ht.hsiz; kinfo.ne; k++) {
145 | pt = &msst->mesh.tetra[k];
146 | for (i=0; i<4; i++) {
147 | i1 = (i+1) % 4;
148 | i2 = (i+2) % 4;
149 | i3 = (i+3) % 4;
150 | if ( !hcode_3d(msst->mesh.tetra,&ht,pt->v[i1],pt->v[i2],pt->v[i3],k,i) ) return(0);
151 | nt++;
152 | }
153 | }
154 |
155 | /* add seed with point */
156 | for (k=1; k<=msst->info.ne; k++) {
157 | pt = &msst->mesh.tetra[k];
158 | for (i=0; i<4; i++) {
159 | if ( !pt->adj[i] ) msst->mesh.point[pt->v[i]].s = k;
160 | }
161 | }
162 | for (k=1; k<=msst->info.ne; k++) {
163 | pt = &msst->mesh.tetra[k];
164 | for (i=0; i<4; i++) {
165 | ppt = &msst->mesh.point[pt->v[i]];
166 | if ( !ppt->s ) ppt->s = k;
167 | }
168 | }
169 | free(ht.cell);
170 |
171 | if ( msst->info.verb != '0' ) fprintf(stdout," %d updated\n",nt);
172 |
173 | return(1);
174 | }
175 |
176 |
177 | /* build adjacency table */
178 | int hashel_2d(MSst *msst) {
179 | Htab ht;
180 | pTria pt;
181 | pPoint ppt;
182 | int k,na;
183 | char i,i1,i2;
184 |
185 | if ( msst->info.verb == '+' ) fprintf(stdout," Adjacency table: ");
186 |
187 | /* alloc hash */
188 | ht.nmax = (int)(3.71 * msst->info.np);
189 | ht.cell = (Cell*)calloc(ht.nmax+2,sizeof(Cell));
190 | assert(ht.cell);
191 |
192 | ht.hsiz = 2 * msst->info.np;
193 | ht.hnxt = ht.hsiz;
194 | for (k=ht.hsiz; kinfo.nt; k++) {
200 | pt = &msst->mesh.tria[k];
201 | for (i=0; i<3; i++) {
202 | i1 = (i+1) % 3;
203 | i2 = (i+2) % 3;
204 | if ( !hcode_2d(msst->mesh.tria,&ht,pt->v[i1],pt->v[i2],k,i) ) return(0);
205 | na++;
206 | }
207 | }
208 |
209 | /* add seed with point */
210 | for (k=1; k<=msst->info.nt; k++) {
211 | pt = &msst->mesh.tria[k];
212 | for (i=0; i<3; i++) {
213 | if ( !pt->adj[i] ) msst->mesh.point[pt->v[(i+1)%3]].s = k;
214 | }
215 | }
216 | for (k=1; k<=msst->info.nt; k++) {
217 | pt = &msst->mesh.tria[k];
218 | for (i=0; i<3; i++) {
219 | ppt = &msst->mesh.point[pt->v[i]];
220 | if ( !ppt->s ) ppt->s = k;
221 | }
222 | }
223 | free(ht.cell);
224 |
225 | if ( msst->info.verb == '+' ) fprintf(stdout," %d updated\n",na);
226 |
227 | return(1);
228 | }
--------------------------------------------------------------------------------
/mshmet/inout.c:
--------------------------------------------------------------------------------
1 | #include "mshmet.h"
2 |
3 |
4 | /* read mesh data */
5 | int loadMesh(MSst *msst) {
6 | pPoint ppt;
7 | pTria pt1;
8 | pTetra pt;
9 | float fp1,fp2,fp3;
10 | int i,k,inm,ref;
11 | char *ptr,data[256];
12 |
13 | strcpy(data,msst->mesh.name);
14 | ptr = strstr(data,".mesh");
15 | if ( !ptr ) {
16 | strcat(data,".meshb");
17 | if( !(inm = GmfOpenMesh(data,GmfRead,&msst->info.ver,&msst->info.dim)) ) {
18 | ptr = strstr(data,".mesh");
19 | *ptr = '\0';
20 | strcat(data,".mesh");
21 | if ( !(inm = GmfOpenMesh(data,GmfRead,&msst->info.ver,&msst->info.dim)) ) {
22 | fprintf(stderr," # %s: file not found.\n",data);
23 | return(0);
24 | }
25 | }
26 | }
27 | else if ( !(inm = GmfOpenMesh(data,GmfRead,&msst->info.ver,&msst->info.dim)) ) {
28 | fprintf(stderr," # %s: file not found.\n",data);
29 | return(0);
30 | }
31 |
32 | if ( msst->info.verb != '0' ) fprintf(stdout," %s:",data);
33 |
34 | msst->info.np = GmfStatKwd(inm,GmfVertices);
35 | msst->info.nt = GmfStatKwd(inm,GmfTriangles);
36 | msst->info.ne = GmfStatKwd(inm,GmfTetrahedra);
37 | if ( !msst->info.np ) {
38 | if ( msst->info.verb != '0' ) fprintf(stdout,"\n # missing data\n");
39 | return(0);
40 | }
41 |
42 | /* memory allocation */
43 | msst->mesh.point = (pPoint)calloc(msst->info.np+1,sizeof(Point));
44 | assert(msst->mesh.point);
45 | GmfGotoKwd(inm,GmfVertices);
46 | if ( msst->info.dim == 2 ) {
47 | /* 2d mesh */
48 | for (k=1; k<=msst->info.np; k++) {
49 | ppt = &msst->mesh.point[k];
50 | if ( msst->info.ver == GmfFloat ) {
51 | GmfGetLin(inm,GmfVertices,&fp1,&fp2,&ref);
52 | ppt->c[0] = fp1;
53 | ppt->c[1] = fp2;
54 | }
55 | else
56 | GmfGetLin(inm,GmfVertices,&ppt->c[0],&ppt->c[1],&ref);
57 | }
58 | }
59 | else {
60 | /* 3d mesh */
61 | for (k=1; k<=msst->info.np; k++) {
62 | ppt = &msst->mesh.point[k];
63 | if ( msst->info.ver == GmfFloat ) {
64 | GmfGetLin(inm,GmfVertices,&fp1,&fp2,&fp3,&ref);
65 | ppt->c[0] = fp1;
66 | ppt->c[1] = fp2;
67 | ppt->c[2] = fp3;
68 | }
69 | else
70 | GmfGetLin(inm,GmfVertices,&ppt->c[0],&ppt->c[1],&ppt->c[2],&ref);
71 | }
72 | }
73 | if ( msst->info.nt > 0 ) {
74 | msst->mesh.tria = (pTria)calloc(msst->info.nt+1,sizeof(Tria));
75 | assert(msst->mesh.tria);
76 | /* read mesh triangles */
77 | GmfGotoKwd(inm,GmfTriangles);
78 | for (k=1; k<=msst->info.nt; k++) {
79 | pt1 = &msst->mesh.tria[k];
80 | GmfGetLin(inm,GmfTriangles,&pt1->v[0],&pt1->v[1],&pt1->v[2],&ref);
81 | }
82 | }
83 | if ( msst->info.ne > 0 ) {
84 | msst->mesh.tetra = (pTetra)calloc(msst->info.ne+1,sizeof(Tetra));
85 | assert(msst->mesh.tetra);
86 | /* read tetrahedra */
87 | GmfGotoKwd(inm,GmfTetrahedra);
88 | for (k=1; k<=msst->info.ne; k++) {
89 | pt = &msst->mesh.tetra[k];
90 | GmfGetLin(inm,GmfTetrahedra,&pt->v[0],&pt->v[1],&pt->v[2],&pt->v[3],&ref);
91 | }
92 | }
93 | GmfCloseMesh(inm);
94 |
95 | if ( msst->info.verb != '0' ) {
96 | fprintf(stdout," %d vertices",msst->info.np);
97 | if ( msst->info.nt ) fprintf(stdout,", %d triangles",msst->info.nt);
98 | if ( msst->info.ne ) fprintf(stdout,", %d tetrahedra",msst->info.ne);
99 | fprintf(stdout,"\n");
100 | }
101 |
102 | return(1);
103 | }
104 |
105 |
106 | /* load one solution */
107 | int loadSol(MSst *msst) {
108 | double dbuf[GmfMaxTyp];
109 | float fbuf[GmfMaxTyp];
110 | int k,i,inm,np,dim,ver,type,size,typtab[GmfMaxTyp];
111 | char *ptr,data[128];
112 |
113 | if ( !msst->sol.name ) return(-1);
114 | strcpy(data,msst->sol.name);
115 |
116 | /* remove .mesh extension */
117 | ptr = strstr(data,".mesh");
118 | if ( ptr ) *ptr = '\0';
119 |
120 | /* look for data file */
121 | ptr = strstr(data,".sol");
122 | if ( ptr ) {
123 | inm = GmfOpenMesh(data,GmfRead,&ver,&dim);
124 | }
125 | else {
126 | /* first try to read binary file */
127 | strcat(data,".solb");
128 | inm = GmfOpenMesh(data,GmfRead,&ver,&dim);
129 | if ( !inm ) {
130 | ptr = strstr(data,".solb");
131 | *ptr = '\0';
132 | strcat(data,".sol");
133 | inm = GmfOpenMesh(data,GmfRead,&ver,&dim);
134 | }
135 | }
136 | if ( !inm ) return(-1);
137 |
138 | if ( dim != msst->info.dim ) return(-1);
139 | np = GmfStatKwd(inm,GmfSolAtVertices,&type,&size,&typtab);
140 | if ( !np || np != msst->info.np ) return(-1);
141 |
142 | if ( msst->info.verb != '0' ) fprintf(stdout," %s:",data);
143 |
144 | /* memory allocation */
145 | msst->sol.u = (double*)calloc(msst->info.np,sizeof(double));
146 | assert(msst->sol.u);
147 |
148 | /* look at first solution only (for now) */
149 | GmfGotoKwd(inm,GmfSolAtVertices);
150 | msst->sol.umax = -FLT_MAX;
151 | switch(typtab[0]) {
152 | case GmfSca:
153 | /* read scalar field */
154 | for (k=0; kinfo.np; k++) {
155 | if ( ver == GmfFloat ) {
156 | GmfGetLin(inm,GmfSolAtVertices,fbuf);
157 | msst->sol.u[k] = fbuf[0];
158 | }
159 | else {
160 | GmfGetLin(inm,GmfSolAtVertices,dbuf);
161 | msst->sol.u[k] = dbuf[0];
162 | }
163 | msst->sol.umax = MS_MAX(msst->sol.umax,msst->sol.u[k]);
164 | }
165 | break;
166 | case GmfVec:
167 | /* read vector field */
168 | for (k=0; kinfo.np; k++) {
169 | if ( ver == GmfFloat ) {
170 | GmfGetLin(inm,GmfSolAtVertices,fbuf);
171 | msst->sol.u[k] = sqrt(fbuf[0]*fbuf[0] + fbuf[1]*fbuf[1]);
172 | }
173 | else {
174 | GmfGetLin(inm,GmfSolAtVertices,dbuf);
175 | msst->sol.u[k] = sqrt(dbuf[0]*dbuf[0] + dbuf[1]*dbuf[1]);
176 | }
177 | msst->sol.umax = MS_MAX(msst->sol.umax,msst->sol.u[k]);
178 | }
179 | break;
180 | case GmfSymMat:
181 | /* read tensor field */
182 | for (k=0; kinfo.np; k++) {
183 | msst->sol.umax = MS_MAX(msst->sol.umax,msst->sol.u[k]);
184 | }
185 | break;
186 | default:
187 | break;
188 | }
189 | GmfCloseMesh(inm);
190 |
191 | if ( msst->info.verb != '0' ) {
192 | if ( typtab[0] == GmfSca)
193 | fprintf(stdout," %d scalar data\n",msst->info.np);
194 | else if ( typtab[0] == GmfVec )
195 | fprintf(stdout," %d vector data\n",msst->info.np);
196 | else
197 | fprintf(stdout," %d tensor data\n",msst->info.np);
198 | }
199 |
200 | return(1);
201 | }
202 |
203 |
204 | /* save metric file */
205 | int saveMet(MSst *msst) {
206 | double db[6];
207 | int i,k,outm,type,typtab[GmfMaxTyp];
208 | char *ptr,data[128];
209 |
210 | strcpy(data,msst->sol.name);
211 | ptr = strstr(data,".mesh");
212 | if ( ptr ) {
213 | *ptr = '\0';
214 | strcat(data,".met.sol");
215 | }
216 | else {
217 | ptr = strstr(data,".met.sol");
218 | if ( !ptr ) strcat(data,".met.solb");
219 | }
220 |
221 | msst->info.ver = GmfDouble;
222 | if ( !(outm = GmfOpenMesh(data,GmfWrite,msst->info.ver,msst->info.dim)) ) {
223 | if ( msst->info.verb != '0' ) fprintf(stderr," # unable to open %s\n",data);
224 | return(0);
225 | }
226 | if ( msst->info.verb != '0' ) fprintf(stdout," %s:",data);
227 |
228 | /* write metric file */
229 | type = 1;
230 | if ( msst->info.iso ) {
231 | typtab[0] = GmfSca;
232 | GmfSetKwd(outm,GmfSolAtVertices,msst->info.np,type,typtab);
233 | for (k=0; kinfo.np; k++) {
234 | GmfSetLin(outm,GmfSolAtVertices,&msst->sol.m[k]);
235 | }
236 | }
237 | else {
238 | typtab[0] = GmfSymMat;
239 | GmfSetKwd(outm,GmfSolAtVertices,msst->info.np,type,typtab);
240 | if ( msst->info.dim == 2 ) {
241 | for (k=0; kinfo.np; k++) {
242 | for (i=0; i<3; i++) db[i] = msst->sol.m[3*k+i];
243 | GmfSetLin(outm,GmfSolAtVertices,db);
244 | }
245 | }
246 | }
247 | GmfCloseMesh(outm);
248 |
249 | if ( msst->info.verb != '0' )
250 | fprintf(stdout," %d %s data\n",msst->info.np,msst->info.iso ? "scalar" : "tensor");
251 |
252 | return(1);
253 | }
254 |
255 |
256 |
--------------------------------------------------------------------------------
/mshmet/ms_calls.c:
--------------------------------------------------------------------------------
1 | #include "mshmet.h"
2 | #include "ms_calls.h"
3 |
4 |
5 | MSst *MS_init(int dim,int ver) {
6 | MSst *msst;
7 |
8 | /* default values */
9 | msst = (MSst *)calloc(1,sizeof(MSst));
10 | memset(&msst->mesh,0,sizeof(Mesh));
11 | memset(&msst->sol,0,sizeof(Sol));
12 |
13 | msst->info.verb = '1';
14 | msst->info.dim = dim;
15 | msst->info.ver = ver;
16 |
17 | /* init timer */
18 | tminit(msst->info.ctim,TIMEMAX);
19 | chrono(ON,&msst->info.ctim[0]);
20 |
21 | return(msst);
22 | }
23 |
24 |
25 | int MS_stop(MSst *msst) {
26 | char stim[32];
27 |
28 | free(msst->mesh.point);
29 | if ( msst->info.nt > 0 ) free(msst->mesh.tria);
30 | if ( msst->info.ne > 0 ) free(msst->mesh.tetra);
31 | free(msst->sol.u);
32 | free(msst->sol.m);
33 |
34 | chrono(OFF,&msst->info.ctim[0]);
35 | if ( msst->info.verb != '0' ) {
36 | printim(msst->info.ctim[0].gdif,stim);
37 | fprintf(stdout,"\n ** Cumulative time: %s sec.\n",stim);
38 | }
39 |
40 | return(1);
41 | }
42 |
43 |
44 | int MS_mshmet(MSst *msst) {
45 | int ier;
46 |
47 | if ( msst->info.dim == 2 )
48 | ier = mshmet1_2d(msst);
49 | else
50 | ier = mshmet1_3d(msst);
51 |
52 | return(ier);
53 | }
54 |
55 |
--------------------------------------------------------------------------------
/mshmet/ms_calls.h:
--------------------------------------------------------------------------------
1 | #ifndef __MS_CALLS_H
2 | #define __MS_CALLS_H
3 |
4 | /* data structure */
5 | typedef struct _MSst MSst;
6 |
7 | /* prototypes */
8 | MSst *MS_init(int dim,int ver);
9 | int MS_stop(MSst *msst);
10 | int MS_mshmet(MSst *msst);
11 |
12 |
13 | #endif
--------------------------------------------------------------------------------
/mshmet/mshmet.c:
--------------------------------------------------------------------------------
1 | /*
2 | * main program file for mshmet
3 | * (C) Copyright 1997 - , ICS-SU
4 | *
5 | * This file is part of mshmet.
6 | *
7 | * mshmet is free software: you can redistribute it and/or modify it under
8 | * the terms of the GNU Lesser General Public License as published by the
9 | * Free Software Foundation, either version 3 of the License, or
10 | * (at your option) any later version.
11 | *
12 | * mshmet is distributed in the hope that it will be useful,
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 | * GNU Lesser General Public License for more details.
16 | *
17 | * You should have received a copy of the GNU Lesser General Public License
18 | * along with AdaptTools. If not, see .
19 | */
20 | #include "mshmet.h"
21 | #include "ms_calls.h"
22 |
23 |
24 | static void excfun(int sigid) {
25 | fprintf(stdout,"\n # unexpected error:"); fflush(stdout);
26 | switch(sigid) {
27 | case SIGABRT:
28 | fprintf(stdout," abnormal stop\n"); break;
29 | case SIGBUS:
30 | fprintf(stdout," code error...\n"); break;
31 | case SIGFPE:
32 | fprintf(stdout," floating-point exception\n"); break;
33 | case SIGILL:
34 | fprintf(stdout," illegal instruction\n"); break;
35 | case SIGSEGV:
36 | fprintf(stdout," segmentation fault.\n"); break;
37 | case SIGTERM:
38 | case SIGINT:
39 | fprintf(stdout," programm killed.\n"); break;
40 | }
41 | fprintf(stdout," # no data file saved.\n");
42 | exit(1);
43 | }
44 |
45 |
46 | static void usage(char *prog) {
47 | fprintf(stdout,"\n usage: %s [+/-v | -h | -i | -l] source[.mesh] [-e err] [-hmin|-hmax|-hgrad val] [-n nrm] [-o output[].sol]] [-p param[.mhes]]\n",prog);
48 |
49 | fprintf(stdout,"\nOptions and flags:\n\
50 | --help show the syntax and exit.\n\
51 | --version show the version and date of release and exit.\n\n\
52 | -e err approximation error\n\
53 | -i isotropic metric (default is aniso)\n\
54 | -l metric for level sets\n\
55 | -n nrm metric normalization method (default=1)\n\
56 | -v suppress any message (for use with function call).\n\
57 | +v increase the verbosity level for output.\n\n\
58 | source.mesh name of the source mesh\n\
59 | metric.sol name of metric file\n\
60 | param.mhes name of file containing metric specifications\n\
61 | output.sol name of the output file\n");
62 | exit(1);
63 | }
64 |
65 |
66 | static int parsar(int argc,char *argv[],MSst *msst) {
67 | int i;
68 | char *ptr,*data;
69 |
70 | i = 1;
71 | while ( i < argc ) {
72 | if ( (*argv[i] == '-') || (*argv[i ]== '+') ) {
73 | switch(argv[i][1]) {
74 | case '-': /* on-line help */
75 | if ( !strcmp(argv[i],"--help") )
76 | usage(argv[0]);
77 | else if ( !strcmp(argv[i],"--version") ) {
78 | fprintf(stdout,"%s: version: %s release: %s\n",argv[0],MS_VER,MS_REL);
79 | exit(1);
80 | }
81 | break;
82 | case 'h':
83 | case '?':
84 | if ( !strcmp(argv[i],"-hmin") ) {
85 | if ( ++i < argc && isdigit(argv[i][0]) )
86 | msst->info.hmin = strtod(argv[i],NULL);
87 | }
88 | else if ( !strcmp(argv[i],"-hmax") ) {
89 | if ( ++i < argc && isdigit(argv[i][0]) )
90 | msst->info.hmax = strtod(argv[i],NULL);
91 | }
92 | else if ( !strcmp(argv[i],"-hgrad") ) {
93 | if ( ++i < argc && isdigit(argv[i][0]) )
94 | msst->info.hgrad = strtod(argv[i],NULL);
95 | }
96 | else
97 | usage(argv[0]);
98 | break;
99 | case 'e':
100 | if ( ++i < argc && isdigit(argv[i][0]) )
101 | msst->info.err = strtod(argv[i],NULL);
102 | else {
103 | fprintf(stderr,"%s: missing argument option\n",argv[0]);
104 | usage(argv[0]);
105 | }
106 | break;
107 | case 'i':
108 | msst->info.iso = 1;
109 | break;
110 | case 'l':
111 | msst->info.ls = 1;
112 | break;
113 | case 'n':
114 | if ( ++i < argc && isdigit(argv[i][0]) ) {
115 | msst->info.nrm = atoi(argv[i]);
116 | if ( msst->info.nrm < 0 || msst->info.nrm > 2 ) {
117 | fprintf(stdout,"%s: wrong parameter value: set default\n",argv[0]);
118 | msst->info.nrm = 1;
119 | }
120 | }
121 | else {
122 | fprintf(stdout,"%s: missing parameter file\n", argv[0]);
123 | usage(argv[0]);
124 | }
125 | break;
126 | case 'p':
127 | if ( ++i < argc ) {
128 | msst->sol.namepar = argv[i];
129 | ptr = strstr(msst->sol.namepar,".mhes");
130 | if ( !ptr ) strcat(msst->sol.namepar,".mhes");
131 | }
132 | else {
133 | fprintf(stdout,"%s: missing parameter file\n", argv[0]);
134 | usage(argv[0]);
135 | }
136 | break;
137 | case 'v':
138 | if ( !strcmp(argv[i],"-v") )
139 | msst->info.verb = '0';
140 | else if ( !strcmp(argv[i],"+v") )
141 | msst->info.verb = '+';
142 | else {
143 | fprintf(stderr,"%s: illegal option %s\n",argv[0],argv[i]);
144 | usage(argv[0]);
145 | }
146 | break;
147 | default:
148 | fprintf(stderr,"%s: illegal option %s\n",argv[0],argv[i]);
149 | usage(argv[0]);
150 | }
151 | }
152 | else {
153 | if ( msst->mesh.name == NULL ) {
154 | data = (char*)calloc(strlen(argv[i])+10,sizeof(char));
155 | strcpy(data,argv[i]);
156 | ptr = strstr(data,".mesh");
157 | if ( !ptr ) strcat(data,".mesh");
158 | msst->mesh.name = data;
159 | }
160 | else {
161 | fprintf(stdout,"%s: illegal option %s\n",argv[0],argv[i]);
162 | usage(argv[0]);
163 | }
164 | }
165 | i++;
166 | }
167 |
168 | /* check params */
169 | if ( msst->mesh.name == NULL ) {
170 | if ( msst->info.verb != '0' ) fprintf(stderr,"%s: missing argument\n",argv[0]);
171 | usage(argv[0]);
172 | }
173 | if ( !msst->sol.name ) {
174 | msst->sol.name = (char *)calloc(128,sizeof(char));
175 | assert(msst->sol.name);
176 | strcpy(msst->sol.name,msst->mesh.name);
177 | }
178 |
179 | return(1);
180 | }
181 |
182 |
183 | int parsop(MSst *msst) {
184 | int i,ret;
185 | char *ptr,data[256];
186 | FILE *in;
187 |
188 | /* check for parameter file */
189 | if ( !msst->sol.namepar ) {
190 | strcpy(data,msst->mesh.name);
191 | ptr = strstr(data,".mesh");
192 | if ( ptr ) *ptr = '\0';
193 | strcat(data,".mhes");
194 | in = fopen(data,"r");
195 | if ( !in ) {
196 | sprintf(data,"%s","DEFAULT.mhes");
197 | in = fopen(data,"r");
198 | }
199 | }
200 | else {
201 | strcpy(data,msst->sol.namepar);
202 | ptr = strstr(data,".mhes");
203 | if ( !ptr ) strcat(data,".mhes");
204 | in = fopen(data,"r");
205 | }
206 | if ( !in ) return(-1);
207 | if ( msst->info.verb != '0' ) fprintf(stdout," %s:",data);
208 |
209 | /* read metric specifications */
210 | while ( !feof(in) ) {
211 | /* scan line */
212 | ret = fscanf(in,"%s",data);
213 | if ( !ret || feof(in) ) break;
214 | for (i=0; iinfo.hmin);
219 | else if ( !strcmp(data,"hmax") )
220 | fscanf(in,"%lf",&msst->info.hmax);
221 | else if ( !strcmp(data,"err") )
222 | fscanf(in,"%lf",&msst->info.err);
223 | else if ( !strcmp(data,"iso") )
224 | msst->info.iso = 1;
225 | else if ( data[0] == '#' ) {
226 | fgets(data,255,in);
227 | }
228 | }
229 | fclose(in);
230 |
231 | return(1);
232 | }
233 |
234 |
235 | int main(int argc,char **argv) {
236 | MSst msst;
237 | int ier;
238 | char stim[32];
239 |
240 | memset(&msst,0,sizeof(MSst));
241 | tminit(msst.info.ctim,TIMEMAX);
242 | chrono(ON,&msst.info.ctim[0]);
243 |
244 | /* trap exceptions */
245 | signal(SIGABRT,excfun);
246 | signal(SIGFPE,excfun);
247 | signal(SIGILL,excfun);
248 | signal(SIGSEGV,excfun);
249 | signal(SIGTERM,excfun);
250 | signal(SIGINT,excfun);
251 | signal(SIGBUS,excfun);
252 |
253 | /* init structure */
254 | memset(&msst.mesh,0,sizeof(Mesh));
255 | memset(&msst.sol,0,sizeof(Sol));
256 |
257 | /* default values */
258 | msst.info.dim = 3;
259 | msst.info.err = 0.01;
260 | msst.info.hmin = 0.01;
261 | msst.info.hmax = 1.0;
262 | msst.info.iso = 0;
263 | msst.info.ls = 0;
264 | msst.info.nrm = 1;
265 | msst.info.ver = 1;
266 | msst.info.verb = '1';
267 |
268 | /* parse command line */
269 | if ( !parsar(argc,argv,&msst) ) return(1);
270 |
271 | /* loading data */
272 | chrono(ON,&msst.info.ctim[1]);
273 |
274 | if ( msst.info.verb != '0' ) {
275 | fprintf(stdout," - MSHMET, Release %s, %s\n %s\n\n",MS_VER,MS_REL,MS_CPY);
276 | fprintf(stdout," - LOADING DATA\n");
277 | }
278 |
279 | /* loading mesh and solution */
280 | ier = loadMesh(&msst);
281 | if ( ier <= 0 ) return(1);
282 | ier = loadSol(&msst);
283 | if ( ier <= 0 ) return(1);
284 | if ( msst.sol.umax < MS_EPSD ) {
285 | if ( msst.info.verb != '0' ) fprintf(stdout," # Warning: solution modulus too small\n");
286 | return(1);
287 | }
288 | if ( !parsop(&msst) ) return(1);
289 |
290 | /* setting adjacencies */
291 | msst.info.dim == 2 ? hashel_2d(&msst) : hashel_3d(&msst);
292 |
293 | chrono(OFF,&msst.info.ctim[1]);
294 | printim(msst.info.ctim[1].gdif,stim);
295 | if ( msst.info.verb != '0' ) fprintf(stdout," - COMPLETED: %s\n",stim);
296 |
297 | /* build metric */
298 | chrono(ON,&msst.info.ctim[2]);
299 | if ( msst.info.verb != '0' )
300 | fprintf(stdout,"\n ** MODULE MSHMET: %s\n",MS_VER);
301 | ier = MS_mshmet(&msst);
302 | chrono(OFF,&msst.info.ctim[2]);
303 | if ( msst.info.verb != '0' ) {
304 | printim(msst.info.ctim[2].gdif,stim);
305 | if ( ier )
306 | fprintf(stdout," ** COMPLETED: %s\n\n",stim);
307 | else
308 | fprintf(stdout," ** NOT COMPLETED!: %s\n\n",stim);
309 | }
310 |
311 | /* save file */
312 | if ( msst.info.verb != '0' ) fprintf(stdout," - WRITING DATA\n");
313 | chrono(ON,&msst.info.ctim[3]);
314 | ier = saveMet(&msst);
315 | if ( !ier ) return(1);
316 | chrono(OFF,&msst.info.ctim[3]);
317 | if ( msst.info.verb != '0' ) {
318 | printim(msst.info.ctim[3].gdif,stim);
319 | fprintf(stdout," - COMPLETED: %s\n",stim);
320 | }
321 |
322 | /* free mem */
323 | free(msst.mesh.point);
324 | if ( msst.info.nt > 0 ) free(msst.mesh.tria);
325 | if ( msst.info.ne > 0 ) free(msst.mesh.tetra);
326 | free(msst.sol.u);
327 | free(msst.sol.m);
328 |
329 | chrono(OFF,&msst.info.ctim[0]);
330 | if ( msst.info.verb != '0' ) {
331 | printim(msst.info.ctim[0].gdif,stim);
332 | fprintf(stdout,"\n ** Cumulative time: %s.\n",stim);
333 | }
334 |
335 | return(0);
336 | }
337 |
--------------------------------------------------------------------------------
/mshmet/mshmet.h:
--------------------------------------------------------------------------------
1 | #ifndef _MSHMET_H
2 | #define _MSHMET_H
3 |
4 | #include
5 | #include
6 | #include
7 | #include
8 | #include
9 | #include
10 | #include
11 | #include
12 | #include
13 |
14 | #include "chrono.h"
15 | #include "libmesh5.h"
16 | #include "ms_calls.h"
17 |
18 |
19 | #define MS_VER "4.0a"
20 | #define MS_REL "Mar. 12, 2016"
21 | #define MS_CPY "(C) Copyright 2007- , ICS-SU"
22 |
23 | #define MS_EPS 1.e-6
24 | #define MS_EPSD 1.e-200
25 | #define LONMAX 4096
26 |
27 | #define CTE2D 2.0 / 9.0
28 | #define CTE3D 9.0 / 32.0
29 |
30 | #define MS_MAX(a,b) ( ((a) < (b)) ? (b) : (a) )
31 | #define MS_MIN(a,b) ( ((a) < (b)) ? (a) : (b) )
32 | #define MS_MIN3(a,b,c) ( (a) < (b) ? ((a)<(c) ? (a) : (c)) : ((b)<(c) ? (b) : (c)) )
33 | #define MS_MAX3(a,b,c) ( (a) > (b) ? ((a)>(c) ? (a) : (c)) : ((b)>(c) ? (b) : (c)) )
34 |
35 |
36 | typedef struct {
37 | double c[3];
38 | int s;
39 | } Point;
40 | typedef Point * pPoint;
41 |
42 | typedef struct {
43 | int v[3],adj[3],mark;
44 | } Tria;
45 | typedef Tria * pTria;
46 |
47 | typedef struct {
48 | int v[4],adj[4],mark;
49 | } Tetra;
50 | typedef Tetra * pTetra;
51 |
52 | typedef struct {
53 | double hmin,hmax,hgrad,err;
54 | int np,nt,ne,dim,ver;
55 | char verb,iso,ls,nrm;
56 | mytime ctim[TIMEMAX];
57 | } Info;
58 |
59 | typedef struct {
60 | int mark;
61 | char *name;
62 | pPoint point;
63 | pTria tria;
64 | pTetra tetra;
65 | } Mesh;
66 | typedef Mesh * pMesh;
67 |
68 | typedef struct {
69 | double *u,*g,*h,*m,umax;
70 | char *name,*namepar;
71 | } Sol;
72 | typedef Sol * pSol;
73 |
74 | struct _MSst {
75 | Mesh mesh;
76 | Sol sol;
77 | Info info;
78 | };
79 |
80 | /* prototypes */
81 | int loadMesh(MSst *msst);
82 | int loadSol(MSst *msst);
83 | int saveMet(MSst *msst);
84 | int hashel_2d(MSst *mist);
85 | int hashel_3d(MSst *mist);
86 | int mshmet1_2d(MSst *mist);
87 | int mshmet1_3d(MSst *mist);
88 |
89 |
90 |
91 | #endif
92 |
--------------------------------------------------------------------------------
/mshmet/mshmet1_2d.c:
--------------------------------------------------------------------------------
1 | #include "mshmet.h"
2 | #include "eigen.h"
3 |
4 | #define CTE2D 2.0 / 9.0
5 |
6 |
7 | /* define 2d metric tensor field */
8 | int defmet_2d(MSst *msst) {
9 | double *m,*h,l[2],vp[2][2],dd,hmin,hmax;
10 | int k;
11 |
12 | hmin = 1.0 / (msst->info.hmax*msst->info.hmax);
13 | hmax = 1.0 / (msst->info.hmin*msst->info.hmin);
14 |
15 | for (k=0; kinfo.np; k++) {
16 | h = &msst->sol.h[3*k];
17 |
18 | if ( !eigen_2d(h,l,vp) ) {
19 | if ( msst->info.verb != '0' ) fprintf(stdout," # Error: eigenvalue problem.\n");
20 | return(0);
21 | }
22 | /* truncation */
23 | l[0] = MS_MIN(MS_MAX(fabs(l[0]),hmin),hmax);
24 | l[1] = MS_MIN(MS_MAX(fabs(l[1]),hmin),hmax);
25 |
26 | if ( msst->info.iso ) {
27 | msst->sol.m[k] = (l[0] < l[1]) ? 1.0 / sqrt(l[1]) : 1.0 / sqrt(l[0]);
28 | }
29 | else {
30 | /* compute Mat = B M Bt */
31 | m = &msst->sol.m[3*k];
32 | m[0] = l[0]*vp[0][0]*vp[0][0] + l[1]*vp[1][0]*vp[1][0];
33 | m[1] = l[0]*vp[0][0]*vp[0][1] + l[1]*vp[1][0]*vp[1][1];
34 | m[2] = l[0]*vp[0][1]*vp[0][1] + l[1]*vp[1][1]*vp[1][1];
35 | }
36 | }
37 |
38 | return(1);
39 | }
40 |
41 |
42 | int nrmhes_2d(MSst *msst) {
43 | double u,err;
44 | int i,k;
45 |
46 | switch(msst->info.nrm) {
47 | case 0: /* no normalization */
48 | for (k=0; kinfo.np; k++) {
49 | for (i=0; i<3; i++) msst->sol.h[3*k+i] *= CTE2D / msst->info.err;
50 | }
51 | break;
52 | case 1: /* relative value: M(u)= |H(u)| / err*||u||_inf */
53 | default:
54 | for (k=0; kinfo.np; k++) {
55 | for (i=0; i<3; i++) msst->sol.h[3*k+i] *= CTE2D / (msst->info.err*msst->sol.umax);
56 | }
57 | break;
58 | case 2: /* local norm: M(u)= |H(u)| / err*|u| */
59 | err = msst->sol.umax > 0.0 ? msst->sol.umax*0.01 : 0.01;
60 | for (k=0; kinfo.np; k++) {
61 | u = fabs(msst->sol.u[k]);
62 | for (i=0; i<3; i++) msst->sol.h[3*k+i] *= CTE2D / MS_MAX(err,u);
63 | }
64 | break;
65 | }
66 |
67 | return(1);
68 | }
69 |
70 |
71 | /* least square approximation of hessian */
72 | int hessls_2d(MSst *msst) {
73 | pPoint p0,p1;
74 | pTria pt;
75 | double *ha,*hb,*ma,*mb,*g0,*h,a[6],u0,u1,dd;
76 | int k,i;
77 |
78 | /* memory allocation */
79 | ha = (double*)calloc(msst->info.np*6,sizeof(double));
80 | assert(ha);
81 | hb = (double*)calloc(msst->info.np*3,sizeof(double));
82 | assert(hb);
83 |
84 | for (k=1; k<=msst->info.nt; k++) {
85 | pt = &msst->mesh.tria[k];
86 |
87 | for (i=0; i<3; i++) {
88 | p0 = &msst->mesh.point[pt->v[i]];
89 | u0 = msst->sol.u[pt->v[i]-1];
90 | g0 = &msst->sol.g[msst->info.dim*(pt->v[i]-1)];
91 | ma = &ha[6*(pt->v[i]-1)];
92 | mb = &hb[3*(pt->v[i]-1)];
93 |
94 | if ( pt->adj[(i+1)%3]/3 < k ) {
95 | memset(a,0,6*sizeof(double));
96 | p1 = &msst->mesh.point[pt->v[(i+2)%3]];
97 | u1 = msst->sol.u[pt->v[(i+2)%3]-1];
98 |
99 | a[0] += 0.5 * (p1->c[0]-p0->c[0]) * (p1->c[0]-p0->c[0]);
100 | a[1] += (p1->c[0]-p0->c[0]) * (p1->c[1]-p0->c[1]);
101 | a[2] += 0.5 * (p1->c[1]-p0->c[1]) * (p1->c[1]-p0->c[1]);
102 | dd = (u1-u0) - (p1->c[0]-p0->c[0])*g0[0] - (p1->c[1]-p0->c[1])*g0[1];
103 |
104 | /* M = At*A symmetric definite positive */
105 | ma[0] += a[0]*a[0];
106 | ma[1] += a[0]*a[1];
107 | ma[2] += a[1]*a[1];
108 | ma[3] += a[0]*a[2];
109 | ma[4] += a[1]*a[2];
110 | ma[5] += a[2]*a[2];
111 |
112 | /* c = At*b */
113 | mb[0] += a[0]*dd;
114 | mb[1] += a[1]*dd;
115 | mb[2] += a[2]*dd;
116 | }
117 | if ( pt->adj[(i+2)%3]/3 < k ) {
118 | memset(a,0,6*sizeof(double));
119 | p1 = &msst->mesh.point[pt->v[(i+1)%3]];
120 | u1 = msst->sol.u[pt->v[(i+1)%3]-1];
121 |
122 | a[0] += 0.5 * (p1->c[0]-p0->c[0]) * (p1->c[0]-p0->c[0]);
123 | a[1] += (p1->c[0]-p0->c[0]) * (p1->c[1]-p0->c[1]);
124 | a[2] += 0.5 * (p1->c[1]-p0->c[1]) * (p1->c[1]-p0->c[1]);
125 | dd = (u1-u0) - (p1->c[0]-p0->c[0])*g0[0] - (p1->c[1]-p0->c[1])*g0[1];
126 |
127 | /* M = At*A symmetric definite positive */
128 | ma[0] += a[0]*a[0];
129 | ma[1] += a[0]*a[1];
130 | ma[2] += a[1]*a[1];
131 | ma[3] += a[0]*a[2];
132 | ma[4] += a[1]*a[2];
133 | ma[5] += a[2]*a[2];
134 |
135 | /* c = At*b */
136 | mb[0] += a[0]*dd;
137 | mb[1] += a[1]*dd;
138 | mb[2] += a[2]*dd;
139 | }
140 | }
141 | }
142 |
143 | /* hessian evaluation */
144 | for (k=0; kinfo.np; k++) {
145 | ma = &ha[6*k];
146 | mb = &hb[3*k];
147 |
148 | /* direct solving */
149 | a[0] = ma[2]*ma[5] - ma[4]*ma[4];
150 | a[1] = ma[4]*ma[3] - ma[1]*ma[5];
151 | a[2] = ma[1]*ma[4] - ma[2]*ma[3];
152 | dd = ma[0]*a[0] + ma[1]*a[1] + ma[3]*a[2];
153 |
154 | /* singular matrix */
155 | if ( fabs(dd) > MS_EPSD ) {
156 | h = &msst->sol.h[3*k];
157 |
158 | a[3] = ma[0]*ma[5] - ma[3]*ma[3];
159 | a[4] = ma[1]*ma[3] - ma[0]*ma[4];
160 | a[5] = ma[0]*ma[2] - ma[1]*ma[1];
161 | h[0] = (mb[0]*a[0] + mb[1]*a[1] + mb[2]*a[2]) / dd;
162 | h[1] = (mb[0]*a[1] + mb[1]*a[3] + mb[2]*a[4]) / dd;
163 | h[2] = (mb[0]*a[2] + mb[1]*a[4] + mb[2]*a[5]) / dd;
164 | }
165 | else {
166 | printf("Pt %d : SINGULAR hessian\n",k);
167 | }
168 | }
169 | free(ha);
170 | free(hb);
171 |
172 | return(1);
173 | }
174 |
175 |
176 | /* compute gradients at mesh vertices (least-square approx.) */
177 | int gradls_2d(MSst *msst) {
178 | pTria pt;
179 | pPoint p0,p1;
180 | double *ga,*gb,*a,*b,*g,u0,u1,dd;
181 | int k,i;
182 |
183 | /* memory allocation */
184 | ga = (double*)calloc(msst->info.np*3,sizeof(double));
185 | assert(ga);
186 | gb = (double*)calloc(msst->info.np*2,sizeof(double));
187 | assert(gb);
188 |
189 | /* triangle contribution */
190 | for (k=1; k<=msst->info.nt; k++) {
191 | pt = &msst->mesh.tria[k];
192 |
193 | for (i=0; i<3; i++) {
194 | p0 = &msst->mesh.point[pt->v[i]];
195 | u0 = msst->sol.u[pt->v[i]-1];
196 | a = &ga[3*(pt->v[i]-1)];
197 | b = &gb[2*(pt->v[i]-1)];
198 | if ( pt->adj[(i+1)%3]/3 < k ) {
199 | p1 = &msst->mesh.point[pt->v[(i+2)%3]];
200 | u1 = msst->sol.u[pt->v[(i+2)%3]-1];
201 | /* M = At*A symmetric definite positive */
202 | a[0] += (p1->c[0]-p0->c[0]) * (p1->c[0]-p0->c[0]);
203 | a[1] += (p1->c[0]-p0->c[0]) * (p1->c[1]-p0->c[1]);
204 | a[2] += (p1->c[1]-p0->c[1]) * (p1->c[1]-p0->c[1]);
205 | //printf(" tria %d: point %d: %e %e %e\n",k,pt->v[i],a[0],a[1],a[2]);
206 | /* b = A^t*du */
207 | b[0] += (p1->c[0]-p0->c[0]) * (u1-u0);
208 | b[1] += (p1->c[1]-p0->c[1]) * (u1-u0);
209 | }
210 | if ( pt->adj[(i+2)%3]/3 < k ) {
211 | p1 = &msst->mesh.point[pt->v[(i+1)%3]];
212 | u1 = msst->sol.u[pt->v[(i+1)%3]-1];
213 |
214 | /* M = At*A symmetric definite positive */
215 | a[0] += (p1->c[0]-p0->c[0]) * (p1->c[0]-p0->c[0]);
216 | a[1] += (p1->c[0]-p0->c[0]) * (p1->c[1]-p0->c[1]);
217 | a[2] += (p1->c[1]-p0->c[1]) * (p1->c[1]-p0->c[1]);
218 |
219 | /* b = A^t*du */
220 | b[0] += (p1->c[0]-p0->c[0]) * (u1-u0);
221 | b[1] += (p1->c[1]-p0->c[1]) * (u1-u0);
222 | }
223 | }
224 | }
225 |
226 | /* gradient evaluation */
227 | for (k=0; kinfo.np; k++) {
228 | /* solution of A(2,2)*grad(1,2) = b(1,2) */
229 | a = &ga[3*k];
230 | b = &gb[2*k];
231 | dd = a[0]*a[2] - a[1]*a[1];
232 | if ( fabs(dd) > MS_EPSD ) {
233 | g = &msst->sol.g[msst->info.dim*k];
234 | g[0] = (a[2]*b[0] - a[1]*b[1]) / dd;
235 | g[1] = (a[0]*b[1] - a[1]*b[0]) / dd;
236 | }
237 | else {
238 | printf("Singular grad pt %d\n",k);
239 | }
240 | }
241 | free(ga);
242 | free(gb);
243 |
244 | return(1);
245 | }
246 |
247 |
248 | int mshmet1_2d(MSst *msst) {
249 | int k,ier;
250 |
251 | /* compute nodal gradients */
252 | msst->sol.g = (double*)calloc(msst->info.np,msst->info.dim*sizeof(double));
253 | assert(msst->sol.g);
254 | ier = gradls_2d(msst);
255 | if ( !ier ) {
256 | if ( msst->info.verb != '0' ) fprintf(stdout," # Error: unable to evaluate gradients\n");
257 | free(msst->sol.g);
258 | return(0);
259 | }
260 |
261 | /* compute nodal hessian matrix */
262 | msst->sol.h = (double*)calloc(msst->info.np,3*sizeof(double));
263 | assert(msst->sol.h);
264 | ier = hessls_2d(msst);
265 | free(msst->sol.g);
266 | if ( !ier ) {
267 | if ( msst->info.verb != '0' ) fprintf(stdout," # Error: unable to evaluate hessian\n");
268 | free(msst->sol.h);
269 | return(0);
270 | }
271 |
272 | /* normalize hessian */
273 | ier = nrmhes_2d(msst);
274 | if ( !ier ) {
275 | if ( msst->info.verb != '0' ) fprintf(stdout," # Error: unable to normalize hessian\n");
276 | free(msst->sol.h);
277 | return(0);
278 | }
279 |
280 | /* compute metric */
281 | if ( msst->info.iso )
282 | msst->sol.m = (double*)calloc(msst->info.np,sizeof(double));
283 | else
284 | msst->sol.m = (double*)calloc(msst->info.np,3*sizeof(double));
285 | assert(msst->sol.m);
286 | ier = defmet_2d(msst);
287 | free(msst->sol.h);
288 | if ( !ier ) {
289 | if ( msst->info.verb != '0' ) fprintf(stdout," # Error: unable to define metric\n");
290 | return(0);
291 | }
292 |
293 | return(1);
294 | }
295 |
296 |
--------------------------------------------------------------------------------
/mshmet/mshmet1_3d.c:
--------------------------------------------------------------------------------
1 | #include "mshmet.h"
2 |
3 |
4 | int mshmet1_3d(MSst *msst) {
5 | return(1);
6 | }
--------------------------------------------------------------------------------