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#ifndef lint
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static const char RCSid[] = "$Id: bsdfmesh.c,v 2.39 2017/10/06 00:23:09 greg Exp $";
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#endif
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/*
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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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#if !defined(_WIN32) && !defined(_WIN64)
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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"
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#ifndef NEIGH_FACT2
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#define NEIGH_FACT2 0.1 /* empirical neighborhood distance weight */
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#endif
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/* number of processes to run */
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int nprocs = 1;
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/* number of children (-1 in child) */
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static int nchild = 0;
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/* Compute average DSF value at the given radius from central vector */
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static double
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eval_DSFsurround(const RBFNODE *rbf, const FVECT outvec, const double rad)
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{
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const int ninc = 12;
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const double phinc = 2.*M_PI/ninc;
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double sum = 0;
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int n = 0;
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FVECT tvec;
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int i;
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/* compute initial vector */
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if (output_orient*outvec[2] >= 1.-FTINY) {
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tvec[0] = tvec[2] = 0;
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tvec[1] = 1;
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} else {
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tvec[0] = tvec[1] = 0;
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tvec[2] = 1;
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}
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geodesic(tvec, outvec, tvec, rad, GEOD_RAD);
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/* average surrounding DSF */
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for (i = 0; i < ninc; i++) {
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if (i) spinvector(tvec, tvec, outvec, phinc);
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if (tvec[2] > 0 ^ output_orient > 0)
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continue;
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sum += eval_rbfrep(rbf, tvec) * COSF(tvec[2]);
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++n;
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}
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if (n < 2) /* should never happen! */
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return(sum);
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return(sum/(double)n);
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}
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/* Estimate single-lobe radius for DSF at the given outgoing angle */
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static double
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est_DSFrad(const RBFNODE *rbf, const FVECT outvec)
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{
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const double rad_epsilon = 0.01;
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const double DSFtarget = 0.60653066 * eval_rbfrep(rbf,outvec) *
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COSF(outvec[2]);
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double inside_rad = rad_epsilon;
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double outside_rad = 0.5;
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double DSFinside = eval_DSFsurround(rbf, outvec, inside_rad);
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double DSFoutside = eval_DSFsurround(rbf, outvec, outside_rad);
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#define interp_rad inside_rad + (outside_rad-inside_rad) * \
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(DSFtarget-DSFinside) / (DSFoutside-DSFinside)
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/* Newton's method (sort of) */
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do {
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double test_rad = interp_rad;
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double DSFtest;
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if ((test_rad >= outside_rad) | (test_rad <= inside_rad))
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test_rad = .5*(inside_rad + outside_rad);
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DSFtest = eval_DSFsurround(rbf, outvec, test_rad);
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if (DSFtest > DSFtarget) {
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inside_rad = test_rad;
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DSFinside = DSFtest;
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} else {
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outside_rad = test_rad;
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DSFoutside = DSFtest;
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}
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} while (outside_rad-inside_rad > rad_epsilon);
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return(.5*(inside_rad + outside_rad));
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#undef interp_rad
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}
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static int
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dbl_cmp(const void *p1, const void *p2)
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{
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double d1 = *(const double *)p1;
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double d2 = *(const double *)p2;
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if (d1 > d2) return(1);
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if (d1 < d2) return(-1);
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return(0);
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}
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/* Conservative estimate of average BSDF value from current DSF's */
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static void
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comp_bsdf_spec(void)
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{
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double vmod_sum = 0;
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double rad_sum = 0;
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int n = 0;
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double *cost_list = NULL;
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double max_cost = 1.;
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RBFNODE *rbf;
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FVECT sdv;
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/* sort by incident altitude */
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for (rbf = dsf_list; rbf != NULL; rbf = rbf->next)
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n++;
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if (n >= 10)
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cost_list = (double *)malloc(sizeof(double)*n);
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if (cost_list == NULL) {
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bsdf_spec_val = 0;
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bsdf_spec_rad = 0;
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return;
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}
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n = 0;
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for (rbf = dsf_list; rbf != NULL; rbf = rbf->next)
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cost_list[n++] = rbf->invec[2]*input_orient;
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qsort(cost_list, n, sizeof(double), dbl_cmp);
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max_cost = cost_list[(n+3)/4]; /* accept 25% nearest grazing */
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free(cost_list);
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n = 0;
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for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) {
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double this_rad, cosfact, vest;
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if (rbf->invec[2]*input_orient > max_cost)
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continue;
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sdv[0] = -rbf->invec[0];
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sdv[1] = -rbf->invec[1];
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sdv[2] = rbf->invec[2]*(2*(input_orient==output_orient) - 1);
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cosfact = COSF(sdv[2]);
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this_rad = est_DSFrad(rbf, sdv);
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vest = eval_rbfrep(rbf, sdv) * cosfact *
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(2.*M_PI) * this_rad*this_rad;
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if (vest > rbf->vtotal) /* don't over-estimate energy */
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vest = rbf->vtotal;
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vmod_sum += vest / cosfact; /* remove cosine factor */
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rad_sum += this_rad;
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++n;
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}
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bsdf_spec_rad = rad_sum/(double)n;
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bsdf_spec_val = vmod_sum/(2.*M_PI*n*bsdf_spec_rad*bsdf_spec_rad);
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}
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/* Create a new migration holder (sharing memory for multiprocessing) */
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static MIGRATION *
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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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#if defined(_WIN32) || defined(_WIN64)
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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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#if defined(_WIN32) || defined(_WIN64)
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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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if (n > nchild)
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n = nchild;
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while (n-- > 0) {
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int status;
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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;
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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 */
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}
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}
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if (exit_status)
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exit(exit_status);
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}
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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;
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pid_t pid;
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if (nprocs <= 1) /* any children requested? */
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return(0);
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await_children(nchild + 1 - nprocs); /* free up child process */
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if ((pid = fork())) {
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if (pid < 0) {
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fprintf(stderr, "%s: cannot fork subprocess\n",
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progname);
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await_children(nchild);
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exit(1);
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}
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++nchild; /* subprocess started */
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return(pid);
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}
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nchild = -1;
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return(0); /* put child to work */
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}
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/* If we are in subprocess, call exit */
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#define end_subprocess() if (nchild < 0) _exit(0); else
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#endif /* ! _WIN32 */
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/* Compute normalized distribution scattering functions for comparison */
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static void
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compute_nDSFs(const RBFNODE *rbf0, const RBFNODE *rbf1)
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{
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const double nf0 = (GRIDRES*GRIDRES) / rbf0->vtotal;
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const double nf1 = (GRIDRES*GRIDRES) / rbf1->vtotal;
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int x, y;
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FVECT dv;
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for (x = GRIDRES; x--; )
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for (y = GRIDRES; y--; ) {
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ovec_from_pos(dv, x, y); /* cube root (brightness) */
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dsf_grid[x][y].val[0] = pow(nf0*eval_rbfrep(rbf0, dv), .3333);
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dsf_grid[x][y].val[1] = pow(nf1*eval_rbfrep(rbf1, dv), .3333);
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}
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}
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/* Compute neighborhood distance-squared (dissimilarity) */
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static double
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neighborhood_dist2(int x0, int y0, int x1, int y1)
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{
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int rad = GRIDRES>>5;
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double sum2 = 0.;
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double d;
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int p[4];
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int i, j;
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/* check radius */
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p[0] = x0; p[1] = y0; p[2] = x1; p[3] = y1;
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for (i = 4; i--; ) {
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if (p[i] < rad) rad = p[i];
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if (GRIDRES-1-p[i] < rad) rad = GRIDRES-1-p[i];
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}
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for (i = -rad; i <= rad; i++)
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for (j = -rad; j <= rad; j++) {
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d = dsf_grid[x0+i][y0+j].val[0] -
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dsf_grid[x1+i][y1+j].val[1];
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sum2 += d*d;
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}
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return(sum2 / (4*rad*(rad+1) + 1));
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}
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/* Compute distance between two RBF lobes */
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double
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lobe_distance(RBFVAL *rbf1, RBFVAL *rbf2)
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{
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FVECT vfrom, vto;
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double d, res;
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/* quadratic cost function */
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ovec_from_pos(vfrom, rbf1->gx, rbf1->gy);
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ovec_from_pos(vto, rbf2->gx, rbf2->gy);
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d = Acos(DOT(vfrom, vto));
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res = d*d;
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d = R2ANG(rbf2->crad) - R2ANG(rbf1->crad);
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res += d*d;
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/* neighborhood difference */
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res += NEIGH_FACT2 * neighborhood_dist2( rbf1->gx, rbf1->gy,
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rbf2->gx, rbf2->gy );
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return(res);
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}
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/* Compute and insert migration along directed edge (may fork child) */
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static MIGRATION *
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create_migration(RBFNODE *from_rbf, RBFNODE *to_rbf)
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| 321 |
{
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MIGRATION *newmig;
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int i, j;
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| 324 |
/* check if exists already */
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for (newmig = from_rbf->ejl; newmig != NULL;
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newmig = nextedge(from_rbf,newmig))
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if (newmig->rbfv[1] == to_rbf)
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| 328 |
return(NULL);
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| 329 |
/* else allocate */
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| 330 |
#ifdef DEBUG
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| 331 |
fprintf(stderr, "Building path from (theta,phi) (%.1f,%.1f) ",
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get_theta180(from_rbf->invec),
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get_phi360(from_rbf->invec));
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fprintf(stderr, "to (%.1f,%.1f) with %d x %d matrix\n",
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get_theta180(to_rbf->invec),
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| 336 |
get_phi360(to_rbf->invec),
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| 337 |
from_rbf->nrbf, to_rbf->nrbf);
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| 338 |
#endif
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| 339 |
newmig = new_migration(from_rbf, to_rbf);
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| 340 |
if (run_subprocess())
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| 341 |
return(newmig); /* child continues */
|
| 342 |
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| 343 |
/* compute transport plan */
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| 344 |
compute_nDSFs(from_rbf, to_rbf);
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| 345 |
plan_transport(newmig);
|
| 346 |
|
| 347 |
for (i = from_rbf->nrbf; i--; ) { /* normalize final matrix */
|
| 348 |
double nf = rbf_volume(&from_rbf->rbfa[i]);
|
| 349 |
if (nf <= FTINY) continue;
|
| 350 |
nf = from_rbf->vtotal / nf;
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| 351 |
for (j = to_rbf->nrbf; j--; )
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| 352 |
mtx_coef(newmig,i,j) *= nf; /* row now sums to 1.0 */
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| 353 |
}
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| 354 |
end_subprocess(); /* exit here if subprocess */
|
| 355 |
return(newmig);
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| 356 |
}
|
| 357 |
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| 358 |
/* Check if prospective vertex would create overlapping triangle */
|
| 359 |
static int
|
| 360 |
overlaps_tri(const RBFNODE *bv0, const RBFNODE *bv1, const RBFNODE *pv)
|
| 361 |
{
|
| 362 |
const MIGRATION *ej;
|
| 363 |
RBFNODE *vother[2];
|
| 364 |
int im_rev;
|
| 365 |
/* find shared edge in mesh */
|
| 366 |
for (ej = pv->ejl; ej != NULL; ej = nextedge(pv,ej)) {
|
| 367 |
const RBFNODE *tv = opp_rbf(pv,ej);
|
| 368 |
if (tv == bv0) {
|
| 369 |
im_rev = is_rev_tri(ej->rbfv[0]->invec,
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| 370 |
ej->rbfv[1]->invec, bv1->invec);
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| 371 |
break;
|
| 372 |
}
|
| 373 |
if (tv == bv1) {
|
| 374 |
im_rev = is_rev_tri(ej->rbfv[0]->invec,
|
| 375 |
ej->rbfv[1]->invec, bv0->invec);
|
| 376 |
break;
|
| 377 |
}
|
| 378 |
}
|
| 379 |
if (!get_triangles(vother, ej)) /* triangle on same side? */
|
| 380 |
return(0);
|
| 381 |
return(vother[im_rev] != NULL);
|
| 382 |
}
|
| 383 |
|
| 384 |
/* Find convex hull vertex to complete triangle (oriented call) */
|
| 385 |
static RBFNODE *
|
| 386 |
find_chull_vert(const RBFNODE *rbf0, const RBFNODE *rbf1)
|
| 387 |
{
|
| 388 |
FVECT vmid, vejn, vp;
|
| 389 |
RBFNODE *rbf, *rbfbest = NULL;
|
| 390 |
double dprod, area2, bestarea2 = FHUGE, bestdprod = -.5;
|
| 391 |
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| 392 |
VSUB(vejn, rbf1->invec, rbf0->invec);
|
| 393 |
VADD(vmid, rbf0->invec, rbf1->invec);
|
| 394 |
if (normalize(vejn) == 0 || normalize(vmid) == 0)
|
| 395 |
return(NULL);
|
| 396 |
/* XXX exhaustive search */
|
| 397 |
/* Find triangle with minimum rotation from perpendicular */
|
| 398 |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) {
|
| 399 |
if ((rbf == rbf0) | (rbf == rbf1))
|
| 400 |
continue;
|
| 401 |
tri_orient(vp, rbf0->invec, rbf1->invec, rbf->invec);
|
| 402 |
if (DOT(vp, vmid) <= FTINY)
|
| 403 |
continue; /* wrong orientation */
|
| 404 |
area2 = .25*DOT(vp,vp);
|
| 405 |
VSUB(vp, rbf->invec, vmid);
|
| 406 |
dprod = -DOT(vp, vejn);
|
| 407 |
VSUM(vp, vp, vejn, dprod); /* above guarantees non-zero */
|
| 408 |
dprod = DOT(vp, vmid) / VLEN(vp);
|
| 409 |
if (dprod <= bestdprod + FTINY*(1 - 2*(area2 < bestarea2)))
|
| 410 |
continue; /* found better already */
|
| 411 |
if (overlaps_tri(rbf0, rbf1, rbf))
|
| 412 |
continue; /* overlaps another triangle */
|
| 413 |
rbfbest = rbf;
|
| 414 |
bestdprod = dprod; /* new one to beat */
|
| 415 |
bestarea2 = area2;
|
| 416 |
}
|
| 417 |
return(rbfbest);
|
| 418 |
}
|
| 419 |
|
| 420 |
/* Create new migration edge and grow mesh recursively around it */
|
| 421 |
static void
|
| 422 |
mesh_from_edge(MIGRATION *edge)
|
| 423 |
{
|
| 424 |
MIGRATION *ej0, *ej1;
|
| 425 |
RBFNODE *tvert[2];
|
| 426 |
|
| 427 |
if (edge == NULL)
|
| 428 |
return;
|
| 429 |
/* triangle on either side? */
|
| 430 |
get_triangles(tvert, edge);
|
| 431 |
if (tvert[0] == NULL) { /* grow mesh on right */
|
| 432 |
tvert[0] = find_chull_vert(edge->rbfv[0], edge->rbfv[1]);
|
| 433 |
if (tvert[0] != NULL) {
|
| 434 |
if (tvert[0]->ord > edge->rbfv[0]->ord)
|
| 435 |
ej0 = create_migration(edge->rbfv[0], tvert[0]);
|
| 436 |
else
|
| 437 |
ej0 = create_migration(tvert[0], edge->rbfv[0]);
|
| 438 |
if (tvert[0]->ord > edge->rbfv[1]->ord)
|
| 439 |
ej1 = create_migration(edge->rbfv[1], tvert[0]);
|
| 440 |
else
|
| 441 |
ej1 = create_migration(tvert[0], edge->rbfv[1]);
|
| 442 |
mesh_from_edge(ej0);
|
| 443 |
mesh_from_edge(ej1);
|
| 444 |
return;
|
| 445 |
}
|
| 446 |
}
|
| 447 |
if (tvert[1] == NULL) { /* grow mesh on left */
|
| 448 |
tvert[1] = find_chull_vert(edge->rbfv[1], edge->rbfv[0]);
|
| 449 |
if (tvert[1] != NULL) {
|
| 450 |
if (tvert[1]->ord > edge->rbfv[0]->ord)
|
| 451 |
ej0 = create_migration(edge->rbfv[0], tvert[1]);
|
| 452 |
else
|
| 453 |
ej0 = create_migration(tvert[1], edge->rbfv[0]);
|
| 454 |
if (tvert[1]->ord > edge->rbfv[1]->ord)
|
| 455 |
ej1 = create_migration(edge->rbfv[1], tvert[1]);
|
| 456 |
else
|
| 457 |
ej1 = create_migration(tvert[1], edge->rbfv[1]);
|
| 458 |
mesh_from_edge(ej0);
|
| 459 |
mesh_from_edge(ej1);
|
| 460 |
}
|
| 461 |
}
|
| 462 |
}
|
| 463 |
|
| 464 |
/* Add normal direction if missing */
|
| 465 |
static void
|
| 466 |
check_normal_incidence(void)
|
| 467 |
{
|
| 468 |
static FVECT norm_vec = {.0, .0, 1.};
|
| 469 |
const int saved_nprocs = nprocs;
|
| 470 |
RBFNODE *near_rbf, *mir_rbf, *rbf;
|
| 471 |
double bestd;
|
| 472 |
int n;
|
| 473 |
|
| 474 |
if (dsf_list == NULL)
|
| 475 |
return; /* XXX should be error? */
|
| 476 |
near_rbf = dsf_list;
|
| 477 |
bestd = input_orient*near_rbf->invec[2];
|
| 478 |
if (single_plane_incident) { /* ordered plane incidence? */
|
| 479 |
if (bestd >= 1.-2.*FTINY)
|
| 480 |
return; /* already have normal */
|
| 481 |
} else {
|
| 482 |
switch (inp_coverage) {
|
| 483 |
case INP_QUAD1:
|
| 484 |
case INP_QUAD2:
|
| 485 |
case INP_QUAD3:
|
| 486 |
case INP_QUAD4:
|
| 487 |
break; /* quadrilateral symmetry? */
|
| 488 |
default:
|
| 489 |
return; /* else we can interpolate */
|
| 490 |
}
|
| 491 |
for (rbf = dsf_list; rbf != NULL; rbf = rbf->next) {
|
| 492 |
const double d = input_orient*rbf->invec[2];
|
| 493 |
if (d >= 1.-2.*FTINY)
|
| 494 |
return; /* seems we have normal */
|
| 495 |
if (d > bestd) {
|
| 496 |
near_rbf = rbf;
|
| 497 |
bestd = d;
|
| 498 |
}
|
| 499 |
}
|
| 500 |
}
|
| 501 |
if (mig_list != NULL) { /* need to be called first */
|
| 502 |
fprintf(stderr, "%s: Late call to check_normal_incidence()\n",
|
| 503 |
progname);
|
| 504 |
exit(1);
|
| 505 |
}
|
| 506 |
#ifdef DEBUG
|
| 507 |
fprintf(stderr, "Interpolating normal incidence by mirroring (%.1f,%.1f)\n",
|
| 508 |
get_theta180(near_rbf->invec), get_phi360(near_rbf->invec));
|
| 509 |
#endif
|
| 510 |
/* mirror nearest incidence */
|
| 511 |
n = sizeof(RBFNODE) + sizeof(RBFVAL)*(near_rbf->nrbf-1);
|
| 512 |
mir_rbf = (RBFNODE *)malloc(n);
|
| 513 |
if (mir_rbf == NULL)
|
| 514 |
goto memerr;
|
| 515 |
memcpy(mir_rbf, near_rbf, n);
|
| 516 |
mir_rbf->ord = near_rbf->ord - 1; /* not used, I think */
|
| 517 |
mir_rbf->next = NULL;
|
| 518 |
mir_rbf->ejl = NULL;
|
| 519 |
rev_rbf_symmetry(mir_rbf, MIRROR_X|MIRROR_Y);
|
| 520 |
nprocs = 1; /* compute migration matrix */
|
| 521 |
if (create_migration(mir_rbf, near_rbf) == NULL)
|
| 522 |
exit(1); /* XXX should never happen! */
|
| 523 |
norm_vec[2] = input_orient; /* interpolate normal dist. */
|
| 524 |
rbf = e_advect_rbf(mig_list, norm_vec, 0);
|
| 525 |
nprocs = saved_nprocs; /* final clean-up */
|
| 526 |
free(mir_rbf);
|
| 527 |
free(mig_list);
|
| 528 |
mig_list = near_rbf->ejl = NULL;
|
| 529 |
insert_dsf(rbf); /* insert interpolated normal */
|
| 530 |
return;
|
| 531 |
memerr:
|
| 532 |
fprintf(stderr, "%s: Out of memory in check_normal_incidence()\n",
|
| 533 |
progname);
|
| 534 |
exit(1);
|
| 535 |
}
|
| 536 |
|
| 537 |
/* Build our triangle mesh from recorded RBFs */
|
| 538 |
void
|
| 539 |
build_mesh(void)
|
| 540 |
{
|
| 541 |
int nrbfs = 0, nmigs = 0;
|
| 542 |
double best2 = M_PI*M_PI;
|
| 543 |
RBFNODE *shrt_edj[2];
|
| 544 |
RBFNODE *rbf0, *rbf1;
|
| 545 |
const MIGRATION *ej;
|
| 546 |
/* average specular peak */
|
| 547 |
comp_bsdf_spec();
|
| 548 |
/* add normal if needed */
|
| 549 |
check_normal_incidence();
|
| 550 |
/* check if isotropic */
|
| 551 |
if (single_plane_incident) {
|
| 552 |
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next)
|
| 553 |
if (rbf0->next != NULL)
|
| 554 |
create_migration(rbf0, rbf0->next);
|
| 555 |
await_children(nchild);
|
| 556 |
return;
|
| 557 |
}
|
| 558 |
shrt_edj[0] = shrt_edj[1] = NULL; /* start w/ shortest edge */
|
| 559 |
for (rbf0 = dsf_list; rbf0 != NULL; rbf0 = rbf0->next) {
|
| 560 |
for (rbf1 = rbf0->next; rbf1 != NULL; rbf1 = rbf1->next) {
|
| 561 |
double dist2 = 2. - 2.*DOT(rbf0->invec,rbf1->invec);
|
| 562 |
if (dist2 < best2) {
|
| 563 |
shrt_edj[0] = rbf0;
|
| 564 |
shrt_edj[1] = rbf1;
|
| 565 |
best2 = dist2;
|
| 566 |
}
|
| 567 |
}
|
| 568 |
++nrbfs;
|
| 569 |
}
|
| 570 |
if (shrt_edj[0] == NULL) {
|
| 571 |
fprintf(stderr, "%s: Cannot find shortest edge\n", progname);
|
| 572 |
exit(1);
|
| 573 |
}
|
| 574 |
/* build mesh from this edge */
|
| 575 |
if (shrt_edj[0]->ord < shrt_edj[1]->ord)
|
| 576 |
mesh_from_edge(create_migration(shrt_edj[0], shrt_edj[1]));
|
| 577 |
else
|
| 578 |
mesh_from_edge(create_migration(shrt_edj[1], shrt_edj[0]));
|
| 579 |
/* count up edges */
|
| 580 |
for (ej = mig_list; ej != NULL; ej = ej->next)
|
| 581 |
++nmigs;
|
| 582 |
if (nmigs < nrbfs-1) /* did meshing fail? */
|
| 583 |
fprintf(stderr,
|
| 584 |
"%s: warning - %d incident directions but only %d interpolant(s)\n",
|
| 585 |
progname, nrbfs, nmigs);
|
| 586 |
/* complete migrations */
|
| 587 |
await_children(nchild);
|
| 588 |
}
|
