#include "bgl.h"
#include "mgraph.h"
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_multimin.h>
+
#define BEST_F "best"
#define INITIAL_F "initial"
static double edgewise_vertex_displacement_cost(const Vertices vertices);
+static double noncircular_rim_cost(const Vertices vertices);
static void compute_vertex_areas(const Vertices vertices, double areas[N]);
-static double best_energy= DOUBLE_MAX;
-static void flushoutput(void);
+static double best_energy= DBL_MAX;
-static void cost(double *energy, double tweight, double tcost);
-#define COST(weight, compute) cost(&energy, (weight), (compute))
+static void addcost(double *energy, double tweight, double tcost);
+#define COST(weight, compute) addcost(&energy, (weight), (compute))
/*---------- main energy computation and subroutines ----------*/
-static double compute_energy(Vertices vertices) {
+static double compute_energy(const Vertices vertices) {
double vertex_areas[N], energy;
compute_vertex_areas(vertices,vertex_areas);
energy= 0;
printf("cost > energy |");
- COST(1000.0, edgewise_vertex_displacement_cost(vertices));
- COST(1.0, graph_layout_cost(vertices,vertex_areas));
- COST(1e6, noncircular_edge_cost(vertices));
+ 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 (energy < best_energy) {
- FILE *best;
+ FILE *best_f;
+ int r;
+
printf(" BEST");
best_f= fopen(BEST_F ".new","wb"); if (!best_f) diee("fopen new best");
- r= fwrite(vertices,sizeof(vertices),1,best_f); if (r!=1) diee("fwrite");
+ r= fwrite(vertices,sizeof(Vertices),1,best_f); if (r!=1) diee("fwrite");
if (fclose(best_f)) diee("fclose new best");
if (rename(BEST_F ".new", BEST_F)) diee("rename install new best");
+
+ best_energy= energy;
}
putchar('\n');
flushoutput();
return energy;
}
-static void cost(double *energy, double tweight, double tcost) {
+static void addcost(double *energy, double tweight, double tcost) {
double tenergy= tweight * tcost;
printf(" %# e > %# e |", tcost, tenergy);
*energy += tenergy;
}
-static void flushoutput(void) {
- if (fflush(stdout) || ferror(stdout)) { perror("stdout"); exit(-1); }
-}
-
static void compute_vertex_areas(const Vertices vertices, double areas[N]) {
+ int v0,v1,v2, e1,e2, k;
+
FOR_VERTEX(v0) {
double total= 0.0;
int count= 0;
e2v[k]= vertices[v2][k] - vertices[v0][k];
}
xprod(av, e1v, e2v);
- total += hypotD1(av);
+ total += magnD(av);
count++;
}
areas[v0]= total / count;
* coordinates. Hopefully this won't be too slow ...
*/
-static void gsldie(const char *what, int status) {
- fprintf(stderr,"gsl function failed: %s: %s\n", what, gsl_strerror(status));
- exit(-1);
-}
-
static gsl_multimin_fminimizer *minimiser;
-static const stop_epsilon= 1e-4;
-
-#define DIM (N*D3)
+static const double stop_epsilon= 1e-4;
static double minfunc_f(const gsl_vector *x, void *params) {
assert(x->size == DIM);
assert(x->stride == 1);
- return compute_energy((Vertices)x->data);
+ return compute_energy((const double(*)[D3])x->data);
}
int main(int argc, const char *const *argv) {
- struct gsl_multimin_function multimin_function;
+ gsl_multimin_function multimin_function;
double size;
- Vertices initial;
- FILE *initial;
- gsl_vector initial_gsl, *step_size;
- int r;
+ Vertices initial, step_size;
+ FILE *initial_f;
+ gsl_vector initial_gsl, step_size_gsl;
+ int r, v, k;
if (argc>1) { fputs("takes no arguments\n",stderr); exit(8); }
initial_gsl.size= DIM;
initial_gsl.stride= 1;
- initial_gsl.data= initial;
initial_gsl.block= 0;
initial_gsl.owner= 0;
+ step_size_gsl= initial_gsl;
+
+ initial_gsl.data= &initial[0][0];
+ step_size_gsl.data= &step_size[0][0];
- step_size= gsl_vector_alloc(DIM); if (!step_size) gsldie("alloc step");
- gsl_vector_set_all(step_size, 1e-3);
+ FOR_VERTEX(v)
+ K step_size[v][k]= 0.01;
+//int vx,vy;
+// FOR_RIM_VERTEX(vx,vy,v)
+// step_size[v][3] *= 0.1;
- r= gsl_multimin_fminimizer_set(minimiser, &multimin_function,
- &initial_gsl, &step_size);
- if (r) { gsldie("fminimizer_set",r); }
+ GA( gsl_multimin_fminimizer_set(minimiser, &multimin_function,
+ &initial_gsl, &step_size_gsl) );
for (;;) {
- r= gsl_multimin_fminimizer_iterate(minimiser);
- if (r) { gsldie("fminimizer_iterate",r); }
+ GA( gsl_multimin_fminimizer_iterate(minimiser) );
size= gsl_multimin_fminimizer_size(minimiser);
r= gsl_multimin_test_size(size, stop_epsilon);
- printf("size %# e, r=%d\n", size, r);
+ printf("%*s size %# e, r=%d\n", 135,"", size, r);
flushoutput();
if (r==GSL_SUCCESS) break;
assert(r==GSL_CONTINUE);
}
+ return 0;
}
/*---------- Edgewise vertex displacement ----------*/
*/
static double edgewise_vertex_displacement_cost(const Vertices vertices) {
- static const l3_epsison= 1e-6;
+ static const double l3_epsilon= 1e-6;
int pi,e,qi,ri,si, k;
- double m[D3], mprime[D3], b, d2, l, sigma_bd2_l3;
+ double m[D3], mprime[D3], b, d2, l, sigma_bd2_l3=0;
FOR_EDGE(pi,e,qi) {
- ri= EDGE_END2(pi,(e+1)%V6); if (r<0) continue;
- si= EDGE_END2(pi,(e+5)%V6); if (s<0) continue;
- assert(ri == EDGE_END2(qi,(e+2)%V6));
- assert(si == EDGE_END2(qi,(e+4)%V6));
+ ri= EDGE_END2(pi,(e+1)%V6); if (ri<0) continue;
+ si= EDGE_END2(pi,(e+5)%V6); if (si<0) continue;
K m[k]= (vertices[pi][k] + vertices[qi][k]) * 0.5;
K mprime[k]= (vertices[ri][k] + vertices[si][k]) * 0.5;
b= hypotD(vertices[pi], vertices[qi]);
d2= hypotD2(m, mprime);
- l= hypotD(vertices[ri][k] - vertices[si][k]);
- l3 = l*l*l + l3_epsilon;
+ l= hypotD(vertices[ri], vertices[si]);
+ double l3 = l*l*l + l3_epsilon;
sigma_bd2_l3 += b * d2 / l3;
}
return sigma_bd2_l3;
}
+
+/*---------- noncircular rim cost ----------*/
+
+static double noncircular_rim_cost(const Vertices vertices) {
+ int vy,vx,v;
+ double cost= 0.0;
+
+ FOR_RIM_VERTEX(vy,vx,v) {
+ double oncircle[3];
+ /* By symmetry, nearest point on circle is the one with
+ * the same angle subtended at the z axis. */
+ oncircle[0]= vertices[v][0];
+ oncircle[1]= vertices[v][1];
+ oncircle[2]= 0;
+ double mult= 1.0/ magnD(oncircle);
+ oncircle[0] *= mult;
+ oncircle[1] *= mult;
+ double d2= hypotD2(vertices[v], oncircle);
+ cost += d2*d2;
+ }
+ return cost;
+}