1 |
greg |
2.1 |
#ifndef lint |
2 |
greg |
2.28 |
static const char RCSid[] = "$Id: bsdfmesh.c,v 2.27 2014/03/26 02:52:31 greg Exp $"; |
3 |
greg |
2.1 |
#endif |
4 |
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/* |
5 |
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* Create BSDF advection mesh from radial basis functions. |
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* |
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* G. Ward |
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*/ |
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#ifndef _WIN32 |
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#include <unistd.h> |
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#include <sys/wait.h> |
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#include <sys/mman.h> |
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#endif |
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#define _USE_MATH_DEFINES |
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#include <stdio.h> |
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#include <stdlib.h> |
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#include <string.h> |
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#include <math.h> |
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#include "bsdfrep.h" |
21 |
greg |
2.19 |
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22 |
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#ifndef NEIGH_FACT2 |
23 |
greg |
2.21 |
#define NEIGH_FACT2 0.1 /* empirical neighborhood distance weight */ |
24 |
greg |
2.19 |
#endif |
25 |
greg |
2.1 |
/* number of processes to run */ |
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int nprocs = 1; |
27 |
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/* number of children (-1 in child) */ |
28 |
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static int nchild = 0; |
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30 |
greg |
2.2 |
/* Create a new migration holder (sharing memory for multiprocessing) */ |
31 |
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static MIGRATION * |
32 |
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new_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
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{ |
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size_t memlen = sizeof(MIGRATION) + |
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sizeof(float)*(from_rbf->nrbf*to_rbf->nrbf - 1); |
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MIGRATION *newmig; |
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#ifdef _WIN32 |
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if (nprocs > 1) |
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fprintf(stderr, "%s: warning - multiprocessing not supported\n", |
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progname); |
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nprocs = 1; |
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newmig = (MIGRATION *)malloc(memlen); |
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#else |
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if (nprocs <= 1) { /* single process? */ |
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newmig = (MIGRATION *)malloc(memlen); |
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} else { /* else need to share memory */ |
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newmig = (MIGRATION *)mmap(NULL, memlen, PROT_READ|PROT_WRITE, |
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MAP_ANON|MAP_SHARED, -1, 0); |
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if ((void *)newmig == MAP_FAILED) |
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newmig = NULL; |
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} |
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#endif |
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if (newmig == NULL) { |
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fprintf(stderr, "%s: cannot allocate new migration\n", progname); |
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exit(1); |
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} |
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newmig->rbfv[0] = from_rbf; |
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newmig->rbfv[1] = to_rbf; |
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/* insert in edge lists */ |
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newmig->enxt[0] = from_rbf->ejl; |
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from_rbf->ejl = newmig; |
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newmig->enxt[1] = to_rbf->ejl; |
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to_rbf->ejl = newmig; |
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newmig->next = mig_list; /* push onto global list */ |
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return(mig_list = newmig); |
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} |
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#ifdef _WIN32 |
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#define await_children(n) (void)(n) |
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#define run_subprocess() 0 |
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#define end_subprocess() (void)0 |
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#else |
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/* Wait for the specified number of child processes to complete */ |
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static void |
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await_children(int n) |
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{ |
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int exit_status = 0; |
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80 |
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if (n > nchild) |
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n = nchild; |
82 |
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while (n-- > 0) { |
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int status; |
84 |
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if (wait(&status) < 0) { |
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fprintf(stderr, "%s: missing child(ren)!\n", progname); |
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nchild = 0; |
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break; |
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} |
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--nchild; |
90 |
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if (status) { /* something wrong */ |
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if ((status = WEXITSTATUS(status))) |
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exit_status = status; |
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else |
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exit_status += !exit_status; |
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fprintf(stderr, "%s: subprocess died\n", progname); |
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n = nchild; /* wait for the rest */ |
97 |
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} |
98 |
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} |
99 |
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if (exit_status) |
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exit(exit_status); |
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} |
102 |
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103 |
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/* Start child process if multiprocessing selected */ |
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static pid_t |
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run_subprocess(void) |
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{ |
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int status; |
108 |
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pid_t pid; |
109 |
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110 |
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if (nprocs <= 1) /* any children requested? */ |
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return(0); |
112 |
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await_children(nchild + 1 - nprocs); /* free up child process */ |
113 |
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if ((pid = fork())) { |
114 |
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if (pid < 0) { |
115 |
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fprintf(stderr, "%s: cannot fork subprocess\n", |
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progname); |
117 |
greg |
2.6 |
await_children(nchild); |
118 |
greg |
2.2 |
exit(1); |
119 |
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} |
120 |
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++nchild; /* subprocess started */ |
121 |
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return(pid); |
122 |
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} |
123 |
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nchild = -1; |
124 |
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return(0); /* put child to work */ |
125 |
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} |
126 |
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127 |
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/* If we are in subprocess, call exit */ |
128 |
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#define end_subprocess() if (nchild < 0) _exit(0); else |
129 |
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130 |
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#endif /* ! _WIN32 */ |
131 |
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132 |
greg |
2.19 |
/* Compute normalized distribution scattering functions for comparison */ |
133 |
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static void |
134 |
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compute_nDSFs(const RBFNODE *rbf0, const RBFNODE *rbf1) |
135 |
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{ |
136 |
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const double nf0 = (GRIDRES*GRIDRES) / rbf0->vtotal; |
137 |
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const double nf1 = (GRIDRES*GRIDRES) / rbf1->vtotal; |
138 |
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int x, y; |
139 |
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FVECT dv; |
140 |
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141 |
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for (x = GRIDRES; x--; ) |
142 |
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for (y = GRIDRES; y--; ) { |
143 |
greg |
2.20 |
ovec_from_pos(dv, x, y); /* cube root (brightness) */ |
144 |
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dsf_grid[x][y].val[0] = pow(nf0*eval_rbfrep(rbf0, dv), .3333); |
145 |
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dsf_grid[x][y].val[1] = pow(nf1*eval_rbfrep(rbf1, dv), .3333); |
146 |
greg |
2.19 |
} |
147 |
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} |
148 |
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149 |
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/* Compute neighborhood distance-squared (dissimilarity) */ |
150 |
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static double |
151 |
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neighborhood_dist2(int x0, int y0, int x1, int y1) |
152 |
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{ |
153 |
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int rad = GRIDRES>>5; |
154 |
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double sum2 = 0.; |
155 |
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double d; |
156 |
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int p[4]; |
157 |
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int i, j; |
158 |
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/* check radius */ |
159 |
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p[0] = x0; p[1] = y0; p[2] = x1; p[3] = y1; |
160 |
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for (i = 4; i--; ) { |
161 |
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if (p[i] < rad) rad = p[i]; |
162 |
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if (GRIDRES-1-p[i] < rad) rad = GRIDRES-1-p[i]; |
163 |
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} |
164 |
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for (i = -rad; i <= rad; i++) |
165 |
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for (j = -rad; j <= rad; j++) { |
166 |
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d = dsf_grid[x0+i][y0+j].val[0] - |
167 |
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dsf_grid[x1+i][y1+j].val[1]; |
168 |
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sum2 += d*d; |
169 |
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} |
170 |
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return(sum2 / (4*rad*(rad+1) + 1)); |
171 |
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} |
172 |
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173 |
greg |
2.27 |
/* Compute distance between two RBF lobes */ |
174 |
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double |
175 |
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lobe_distance(RBFVAL *rbf1, RBFVAL *rbf2) |
176 |
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{ |
177 |
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FVECT vfrom, vto; |
178 |
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double d, res; |
179 |
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/* quadratic cost function */ |
180 |
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ovec_from_pos(vfrom, rbf1->gx, rbf1->gy); |
181 |
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ovec_from_pos(vto, rbf2->gx, rbf2->gy); |
182 |
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d = Acos(DOT(vfrom, vto)); |
183 |
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res = d*d; |
184 |
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d = R2ANG(rbf2->crad) - R2ANG(rbf1->crad); |
185 |
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res += d*d; |
186 |
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/* neighborhood difference */ |
187 |
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res += NEIGH_FACT2 * neighborhood_dist2( rbf1->gx, rbf1->gy, |
188 |
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rbf2->gx, rbf2->gy ); |
189 |
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return(res); |
190 |
greg |
2.1 |
} |
191 |
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192 |
greg |
2.26 |
|
193 |
greg |
2.1 |
/* Compute and insert migration along directed edge (may fork child) */ |
194 |
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static MIGRATION * |
195 |
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create_migration(RBFNODE *from_rbf, RBFNODE *to_rbf) |
196 |
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{ |
197 |
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MIGRATION *newmig; |
198 |
greg |
2.6 |
int i, j; |
199 |
greg |
2.1 |
/* check if exists already */ |
200 |
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for (newmig = from_rbf->ejl; newmig != NULL; |
201 |
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newmig = nextedge(from_rbf,newmig)) |
202 |
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if (newmig->rbfv[1] == to_rbf) |
203 |
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return(NULL); |
204 |
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/* else allocate */ |
205 |
greg |
2.7 |
#ifdef DEBUG |
206 |
greg |
2.14 |
fprintf(stderr, "Building path from (theta,phi) (%.1f,%.1f) ", |
207 |
greg |
2.7 |
get_theta180(from_rbf->invec), |
208 |
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get_phi360(from_rbf->invec)); |
209 |
greg |
2.14 |
fprintf(stderr, "to (%.1f,%.1f) with %d x %d matrix\n", |
210 |
greg |
2.7 |
get_theta180(to_rbf->invec), |
211 |
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get_phi360(to_rbf->invec), |
212 |
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from_rbf->nrbf, to_rbf->nrbf); |
213 |
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#endif |
214 |
greg |
2.1 |
newmig = new_migration(from_rbf, to_rbf); |
215 |
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if (run_subprocess()) |
216 |
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return(newmig); /* child continues */ |
217 |
greg |
2.27 |
|
218 |
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/* compute transport plan */ |
219 |
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compute_nDSFs(from_rbf, to_rbf); |
220 |
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plan_transport(newmig); |
221 |
greg |
2.6 |
|
222 |
greg |
2.1 |
for (i = from_rbf->nrbf; i--; ) { /* normalize final matrix */ |
223 |
greg |
2.6 |
double nf = rbf_volume(&from_rbf->rbfa[i]); |
224 |
greg |
2.1 |
if (nf <= FTINY) continue; |
225 |
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nf = from_rbf->vtotal / nf; |
226 |
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for (j = to_rbf->nrbf; j--; ) |
227 |
greg |
2.6 |
mtx_coef(newmig,i,j) *= nf; /* row now sums to 1.0 */ |
228 |
greg |
2.1 |
} |
229 |
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end_subprocess(); /* exit here if subprocess */ |
230 |
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return(newmig); |
231 |
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} |
232 |
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233 |
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/* Check if prospective vertex would create overlapping triangle */ |
234 |
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static int |
235 |
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overlaps_tri(const RBFNODE *bv0, const RBFNODE *bv1, const RBFNODE *pv) |
236 |
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{ |
237 |
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const MIGRATION *ej; |
238 |
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RBFNODE *vother[2]; |
239 |
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int im_rev; |
240 |
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/* find shared edge in mesh */ |
241 |
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for (ej = pv->ejl; ej != NULL; ej = nextedge(pv,ej)) { |
242 |
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const RBFNODE *tv = opp_rbf(pv,ej); |
243 |
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if (tv == bv0) { |
244 |
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im_rev = is_rev_tri(ej->rbfv[0]->invec, |
245 |
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ej->rbfv[1]->invec, bv1->invec); |
246 |
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break; |
247 |
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} |
248 |
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if (tv == bv1) { |
249 |
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im_rev = is_rev_tri(ej->rbfv[0]->invec, |
250 |
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ej->rbfv[1]->invec, bv0->invec); |
251 |
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break; |
252 |
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} |
253 |
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} |
254 |
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if (!get_triangles(vother, ej)) /* triangle on same side? */ |
255 |
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return(0); |
256 |
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return(vother[im_rev] != NULL); |
257 |
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} |
258 |
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259 |
greg |
2.14 |
/* Find convex hull vertex to complete triangle (oriented call) */ |
260 |
greg |
2.1 |
static RBFNODE * |
261 |
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find_chull_vert(const RBFNODE *rbf0, const RBFNODE *rbf1) |
262 |
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{ |
263 |
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FVECT vmid, vejn, vp; |
264 |
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RBFNODE *rbf, *rbfbest = NULL; |
265 |
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double dprod, area2, bestarea2 = FHUGE, bestdprod = -.5; |
266 |
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267 |
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VSUB(vejn, rbf1->invec, rbf0->invec); |
268 |
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VADD(vmid, rbf0->invec, rbf1->invec); |
269 |
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if (normalize(vejn) == 0 || normalize(vmid) == 0) |
270 |
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return(NULL); |
271 |
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/* XXX exhaustive search */ |
272 |
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/* Find triangle with minimum rotation from perpendicular */ |
273 |
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for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) { |
274 |
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if ((rbf == rbf0) | (rbf == rbf1)) |
275 |
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continue; |
276 |
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tri_orient(vp, rbf0->invec, rbf1->invec, rbf->invec); |
277 |
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if (DOT(vp, vmid) <= FTINY) |
278 |
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continue; /* wrong orientation */ |
279 |
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area2 = .25*DOT(vp,vp); |
280 |
greg |
2.14 |
VSUB(vp, rbf->invec, vmid); |
281 |
greg |
2.1 |
dprod = -DOT(vp, vejn); |
282 |
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VSUM(vp, vp, vejn, dprod); /* above guarantees non-zero */ |
283 |
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dprod = DOT(vp, vmid) / VLEN(vp); |
284 |
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if (dprod <= bestdprod + FTINY*(1 - 2*(area2 < bestarea2))) |
285 |
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continue; /* found better already */ |
286 |
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if (overlaps_tri(rbf0, rbf1, rbf)) |
287 |
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continue; /* overlaps another triangle */ |
288 |
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rbfbest = rbf; |
289 |
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bestdprod = dprod; /* new one to beat */ |
290 |
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bestarea2 = area2; |
291 |
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} |
292 |
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return(rbfbest); |
293 |
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} |
294 |
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295 |
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/* Create new migration edge and grow mesh recursively around it */ |
296 |
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static void |
297 |
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mesh_from_edge(MIGRATION *edge) |
298 |
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{ |
299 |
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MIGRATION *ej0, *ej1; |
300 |
|
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RBFNODE *tvert[2]; |
301 |
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302 |
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if (edge == NULL) |
303 |
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return; |
304 |
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/* triangle on either side? */ |
305 |
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get_triangles(tvert, edge); |
306 |
|
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if (tvert[0] == NULL) { /* grow mesh on right */ |
307 |
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tvert[0] = find_chull_vert(edge->rbfv[0], edge->rbfv[1]); |
308 |
|
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if (tvert[0] != NULL) { |
309 |
|
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if (tvert[0]->ord > edge->rbfv[0]->ord) |
310 |
|
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ej0 = create_migration(edge->rbfv[0], tvert[0]); |
311 |
|
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else |
312 |
|
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ej0 = create_migration(tvert[0], edge->rbfv[0]); |
313 |
|
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if (tvert[0]->ord > edge->rbfv[1]->ord) |
314 |
|
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ej1 = create_migration(edge->rbfv[1], tvert[0]); |
315 |
|
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else |
316 |
|
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ej1 = create_migration(tvert[0], edge->rbfv[1]); |
317 |
|
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mesh_from_edge(ej0); |
318 |
|
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mesh_from_edge(ej1); |
319 |
greg |
2.28 |
return; |
320 |
greg |
2.1 |
} |
321 |
greg |
2.28 |
} |
322 |
|
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if (tvert[1] == NULL) { /* grow mesh on left */ |
323 |
greg |
2.1 |
tvert[1] = find_chull_vert(edge->rbfv[1], edge->rbfv[0]); |
324 |
|
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if (tvert[1] != NULL) { |
325 |
|
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if (tvert[1]->ord > edge->rbfv[0]->ord) |
326 |
|
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ej0 = create_migration(edge->rbfv[0], tvert[1]); |
327 |
|
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else |
328 |
|
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ej0 = create_migration(tvert[1], edge->rbfv[0]); |
329 |
|
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if (tvert[1]->ord > edge->rbfv[1]->ord) |
330 |
|
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ej1 = create_migration(edge->rbfv[1], tvert[1]); |
331 |
|
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else |
332 |
|
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ej1 = create_migration(tvert[1], edge->rbfv[1]); |
333 |
|
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mesh_from_edge(ej0); |
334 |
|
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mesh_from_edge(ej1); |
335 |
|
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} |
336 |
|
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} |
337 |
|
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} |
338 |
greg |
2.15 |
|
339 |
|
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/* Add normal direction if missing */ |
340 |
|
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static void |
341 |
|
|
check_normal_incidence(void) |
342 |
|
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{ |
343 |
greg |
2.25 |
static FVECT norm_vec = {.0, .0, 1.}; |
344 |
greg |
2.16 |
const int saved_nprocs = nprocs; |
345 |
|
|
RBFNODE *near_rbf, *mir_rbf, *rbf; |
346 |
|
|
double bestd; |
347 |
|
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int n; |
348 |
greg |
2.15 |
|
349 |
|
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if (dsf_list == NULL) |
350 |
|
|
return; /* XXX should be error? */ |
351 |
|
|
near_rbf = dsf_list; |
352 |
|
|
bestd = input_orient*near_rbf->invec[2]; |
353 |
|
|
if (single_plane_incident) { /* ordered plane incidence? */ |
354 |
|
|
if (bestd >= 1.-2.*FTINY) |
355 |
|
|
return; /* already have normal */ |
356 |
|
|
} else { |
357 |
|
|
switch (inp_coverage) { |
358 |
|
|
case INP_QUAD1: |
359 |
|
|
case INP_QUAD2: |
360 |
|
|
case INP_QUAD3: |
361 |
|
|
case INP_QUAD4: |
362 |
|
|
break; /* quadrilateral symmetry? */ |
363 |
|
|
default: |
364 |
|
|
return; /* else we can interpolate */ |
365 |
|
|
} |
366 |
|
|
for (rbf = near_rbf->next; rbf != NULL; rbf = rbf->next) { |
367 |
|
|
const double d = input_orient*rbf->invec[2]; |
368 |
|
|
if (d >= 1.-2.*FTINY) |
369 |
|
|
return; /* seems we have normal */ |
370 |
|
|
if (d > bestd) { |
371 |
|
|
near_rbf = rbf; |
372 |
|
|
bestd = d; |
373 |
|
|
} |
374 |
|
|
} |
375 |
|
|
} |
376 |
|
|
if (mig_list != NULL) { /* need to be called first */ |
377 |
|
|
fprintf(stderr, "%s: Late call to check_normal_incidence()\n", |
378 |
|
|
progname); |
379 |
|
|
exit(1); |
380 |
|
|
} |
381 |
|
|
#ifdef DEBUG |
382 |
|
|
fprintf(stderr, "Interpolating normal incidence by mirroring (%.1f,%.1f)\n", |
383 |
|
|
get_theta180(near_rbf->invec), get_phi360(near_rbf->invec)); |
384 |
|
|
#endif |
385 |
|
|
/* mirror nearest incidence */ |
386 |
|
|
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(near_rbf->nrbf-1); |
387 |
|
|
mir_rbf = (RBFNODE *)malloc(n); |
388 |
|
|
if (mir_rbf == NULL) |
389 |
|
|
goto memerr; |
390 |
|
|
memcpy(mir_rbf, near_rbf, n); |
391 |
|
|
mir_rbf->ord = near_rbf->ord - 1; /* not used, I think */ |
392 |
|
|
mir_rbf->next = NULL; |
393 |
greg |
2.22 |
mir_rbf->ejl = NULL; |
394 |
greg |
2.15 |
rev_rbf_symmetry(mir_rbf, MIRROR_X|MIRROR_Y); |
395 |
|
|
nprocs = 1; /* compute migration matrix */ |
396 |
greg |
2.22 |
if (create_migration(mir_rbf, near_rbf) == NULL) |
397 |
greg |
2.15 |
exit(1); /* XXX should never happen! */ |
398 |
greg |
2.25 |
norm_vec[2] = input_orient; /* interpolate normal dist. */ |
399 |
greg |
2.16 |
rbf = e_advect_rbf(mig_list, norm_vec, 2*near_rbf->nrbf); |
400 |
greg |
2.15 |
nprocs = saved_nprocs; /* final clean-up */ |
401 |
|
|
free(mir_rbf); |
402 |
|
|
free(mig_list); |
403 |
|
|
mig_list = near_rbf->ejl = NULL; |
404 |
|
|
insert_dsf(rbf); /* insert interpolated normal */ |
405 |
|
|
return; |
406 |
|
|
memerr: |
407 |
|
|
fprintf(stderr, "%s: Out of memory in check_normal_incidence()\n", |
408 |
|
|
progname); |
409 |
|
|
exit(1); |
410 |
|
|
} |
411 |
greg |
2.1 |
|
412 |
|
|
/* Build our triangle mesh from recorded RBFs */ |
413 |
|
|
void |
414 |
|
|
build_mesh(void) |
415 |
|
|
{ |
416 |
|
|
double best2 = M_PI*M_PI; |
417 |
|
|
RBFNODE *shrt_edj[2]; |
418 |
|
|
RBFNODE *rbf0, *rbf1; |
419 |
greg |
2.15 |
/* add normal if needed */ |
420 |
|
|
check_normal_incidence(); |
421 |
greg |
2.1 |
/* check if isotropic */ |
422 |
|
|
if (single_plane_incident) { |
423 |
|
|
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) |
424 |
|
|
if (rbf0->next != NULL) |
425 |
|
|
create_migration(rbf0, rbf0->next); |
426 |
|
|
await_children(nchild); |
427 |
|
|
return; |
428 |
|
|
} |
429 |
|
|
shrt_edj[0] = shrt_edj[1] = NULL; /* start w/ shortest edge */ |
430 |
|
|
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) |
431 |
|
|
for (rbf1 = rbf0->next; rbf1 != NULL; rbf1 = rbf1->next) { |
432 |
|
|
double dist2 = 2. - 2.*DOT(rbf0->invec,rbf1->invec); |
433 |
|
|
if (dist2 < best2) { |
434 |
|
|
shrt_edj[0] = rbf0; |
435 |
|
|
shrt_edj[1] = rbf1; |
436 |
|
|
best2 = dist2; |
437 |
|
|
} |
438 |
|
|
} |
439 |
|
|
if (shrt_edj[0] == NULL) { |
440 |
|
|
fprintf(stderr, "%s: Cannot find shortest edge\n", progname); |
441 |
|
|
exit(1); |
442 |
|
|
} |
443 |
|
|
/* build mesh from this edge */ |
444 |
|
|
if (shrt_edj[0]->ord < shrt_edj[1]->ord) |
445 |
|
|
mesh_from_edge(create_migration(shrt_edj[0], shrt_edj[1])); |
446 |
|
|
else |
447 |
|
|
mesh_from_edge(create_migration(shrt_edj[1], shrt_edj[0])); |
448 |
|
|
/* complete migrations */ |
449 |
|
|
await_children(nchild); |
450 |
|
|
} |