*/
#include "common.h"
-#include "bgl.h"
+#include "minimise.h"
#include "mgraph.h"
#include <gsl/gsl_errno.h>
#include <gsl/gsl_multimin.h>
+#include <signal.h>
+#include <sys/time.h>
+
static const char *input_file, *output_file;
static char *output_file_tmp;
static void compute_vertex_areas(const Vertices vertices, double areas[N]);
static double best_energy= DBL_MAX;
-static void addcost(double *energy, double tweight, double tcost);
-#define COST(weight, compute) addcost(&energy, (weight), (compute))
+enum printing_instance { pr_cost, pr_size, pr__max };
+
+static void addcost(double *energy, double tweight, double tcost, int pr);
+#define COST(weight, compute) addcost(&energy, (weight), (compute), printing)
+static int printing_check(enum printing_instance);
+static void printing_init(void);
/*---------- main energy computation and subroutines ----------*/
static double compute_energy(const Vertices vertices) {
double vertex_areas[N], energy;
+ int printing;
compute_vertex_areas(vertices,vertex_areas);
energy= 0;
- printf("cost > energy |");
- COST(1e4, edgewise_vertex_displacement_cost(vertices));
+ printing= printing_check(pr_cost);
+
+ if (printing) printf("cost > energy |");
+
+// COST(1e4, edgewise_vertex_displacement_cost(vertices));
COST(1e2, graph_layout_cost(vertices,vertex_areas));
// COST(1e4, noncircular_rim_cost(vertices));
- printf("| total %# e |", energy);
+ if (printing) printf("| total %# e |", energy);
+
if (energy < best_energy) {
FILE *best_f;
int r;
- printf(" BEST");
+ if (printing) printf(" BEST");
best_f= fopen(output_file_tmp,"wb"); if (!best_f) diee("fopen new out");
r= fwrite(vertices,sizeof(Vertices),1,best_f); if (r!=1) diee("fwrite");
best_energy= energy;
}
- putchar('\n');
- flushoutput();
+ if (printing) {
+ putchar('\n');
+ flushoutput();
+ }
return energy;
}
-static void addcost(double *energy, double tweight, double tcost) {
+static void addcost(double *energy, double tweight, double tcost, int pr) {
double tenergy= tweight * tcost;
- printf(" %# e > %# e |", tcost, tenergy);
+ if (pr) printf(" %# e > %# e |", tcost, tenergy);
*energy += tenergy;
}
if (asprintf(&output_file_tmp,"%s.new",output_file) <= 0) diee("asprintf");
graph_layout_prepare();
+ printing_init();
minimiser= gsl_multimin_fminimizer_alloc
(gsl_multimin_fminimizer_nmsimplex, DIM);
size= gsl_multimin_fminimizer_size(minimiser);
r= gsl_multimin_test_size(size, stop_epsilon);
- printf("%*s size %# e, r=%d\n", 135,"", size, r);
+ if (printing_check(pr_size))
+ printf("%*s size %# e, r=%d\n", 135,"", size, r);
flushoutput();
if (r==GSL_SUCCESS) break;
}
return cost;
}
+
+/*---------- printing rate limit ----------*/
+
+static volatile unsigned print_todo;
+static sigset_t print_alarmset;
+
+static int printing_check(enum printing_instance which) {
+ static int skipped[pr__max];
+
+ unsigned bits= 1u << which;
+ int sk;
+
+ if (!(print_todo & bits)) {
+ skipped[which]++;
+ return 0;;
+ }
+
+ sigprocmask(SIG_BLOCK,&print_alarmset,0);
+ print_todo &= ~bits;
+ sigprocmask(SIG_UNBLOCK,&print_alarmset,0);
+
+ sk= skipped[which];
+ if (sk) printf("[%4d] ",sk);
+ else printf(" ");
+ skipped[which]= 0;
+
+ return 1;
+}
+
+static void alarmhandler(int ignored) {
+ print_todo= ~0u;
+}
+
+static void printing_init(void) {
+ struct sigaction sa;
+ struct itimerval itv;
+
+ sigemptyset(&print_alarmset);
+ sigaddset(&print_alarmset,SIGALRM);
+
+ sa.sa_handler= alarmhandler;
+ sa.sa_mask= print_alarmset;
+ sa.sa_flags= SA_RESTART;
+ if (sigaction(SIGALRM,&sa,0)) diee("sigaction ALRM");
+
+ itv.it_interval.tv_sec= 0;
+ itv.it_interval.tv_usec= 200000;
+ itv.it_value= itv.it_interval;
+
+ if (setitimer(ITIMER_REAL,&itv,0)) diee("setitimer REAL");
+
+ raise(SIGALRM);
+}
--- /dev/null
+/*
+ * graph layout energy
+ */
+
+#include "mgraph.h"
+#include "minimise.h"
+
+static int sqdistances[N][N];
+
+static double alpha, beta, beta_prime;
+
+static void breadth_first_search(int start, int sqdistances_r[N]) {
+ int d[N], buffer[N], *buf_pop=buffer, *buf_push=buffer;
+ int v,e, current, future, dfuture;
+
+ buf_push= buf_pop= buffer;
+ FOR_VERTEX(v) d[v]= -1;
+
+ d[start]= 0;
+ *buf_push++= start;
+
+ while (buf_pop < buf_push) {
+ current= *buf_pop++;
+ dfuture= d[current] + 1;
+ FOR_VEDGE(current,e,future) {
+ if (d[future] >= 0) continue; /* already found this one */
+ d[future]= dfuture;
+ *buf_push++= future;
+ }
+ }
+ assert(buf_pop==buf_push);
+ assert(buf_push <= buffer+sizeof(buffer)/sizeof(buffer[0]));
+
+ FOR_VERTEX(v) {
+ assert(d[v] >= 0);
+ sqdistances_r[v]= d[v] * d[v];
+ }
+}
+
+void graph_layout_prepare() {
+ int v1;
+
+ FOR_VERTEX(v1)
+ breadth_first_search(v1, sqdistances[v1]);
+
+ alpha= 2;
+ beta= -log(10)/log(alpha);
+ beta_prime= (1-beta)/2;
+ printf("alpha=%g beta=%g beta'=%g\n", alpha,beta,beta_prime);
+}
+
+
+double graph_layout_cost(const Vertices v, const double vertex_areas[N]) {
+ /* For each (vi,vj) computes shortest path s_ij = |vi..vj|
+ * along edges, and actual distance d_ij = |vi-vj|.
+ *
+ * We will also use the `vertex areas': for each vertex vi the
+ * vertex area a_vi is the mean area of the incident triangles.
+ * This is computed elsewhere.
+ *
+ * Energy contribution is proportional to
+ *
+ * -4 2
+ * a a . d . [ (s/d) - 1 ]
+ * vi vj
+ *
+ * (In practice we compute d^2+epsilon and use it for the
+ * divisions, to avoid division by zero.)
+ */
+ //static const double d2_epsilon= 1e-6;
+
+ // double edge_weights[V6<<ESHIFT], vertex_distances[N],
+ double total_cost=0;
+ int v1,v2,e, nedges=0;
+ double totaledgelength=0, meanedgelength, meanedgelength2;
+
+ FOR_EDGE(v1,e,v2) {
+ totaledgelength += hypotD(v[v1], v[v2]);
+ nedges++;
+ }
+
+ meanedgelength= totaledgelength / nedges;
+ meanedgelength2= meanedgelength * meanedgelength;
+// printf("mean=%g mean^2=%g\n", meanedgelength, meanedgelength2);
+
+ FOR_VERTEX(v1) {
+ FOR_VERTEX(v2) {
+ if (v1 == v2) continue;
+
+ double d2= hypotD2(v[v1],v[v2]);
+
+ int dist2= sqdistances[v1][v2];
+ assert(dist2>0);
+
+ double s2= dist2 * meanedgelength2;
+
+ /* energy = (d/s)^(1-beta) where beta is -log\_{alpha}(10)
+ * energy = ((d/s)^2) ^ (1-beta)/2
+ * let beta' = (1-beta)/2
+ */
+
+ double cost= pow(d2/s2, beta_prime);
+
+ //double s2= s*s + d2_epsilon;
+ //double sd2= s2 / d2;
+ //double cost_contrib= a1*a2 * (sd2 - 1) / (d2*d2);
+ //double cost_contrib= sd2;
+
+ //printf("layout %03x..%03x dist^2=%d s^2=%g d^2=%g "
+ //" cost+=%g\n", v1,v2, dist2,
+ // s2,d2, cost);
+ total_cost += cost;
+ }
+ }
+ return total_cost;
+}