/*---------- main energy computation, weights, etc. ----------*/
typedef double CostComputation(const Vertices vertices, int section);
+typedef void PreComputation(const Vertices vertices, int section);
typedef struct {
double weight;
CostComputation *fn;
} CostContribution;
-static const CostContribution costs[]= {
+#define NPRECOMPS ((sizeof(precomps)/sizeof(precomps[0])))
+#define NCOSTS ((sizeof(costs)/sizeof(costs[0])))
#define COST(weight, compute) { (weight),(compute) },
+static PreComputation *const precomps[]= {
+ compute_edge_lengths,
+ compute_vertex_areas
+};
+
+static const CostContribution costs[]= {
+
#if XBITS==3
#define STOP_EPSILON 1e-6
- COST( 3e3, line_bending_cost)
- COST( 3e3, edge_length_variation_cost)
+ COST( 3e3, vertex_displacement_cost)
COST( 0.4e3, rim_proximity_cost)
- COST( 1e6, edge_angle_cost)
+ COST( 1e7, edge_angle_cost)
+ #define EDGE_ANGLE_COST_CIRCCIRCRAT (0.2/1.7)
+ COST( 1e2, small_triangles_cost)
+ COST( 1e12, noncircular_rim_cost)
+#endif
+
+#if XBITS==4
+#define STOP_EPSILON 1.2e-4
+ COST( 3e3, vertex_displacement_cost)
+ COST( 0.2e3, rim_proximity_cost)
+// COST( 1e6, edge_angle_cost)
#define EDGE_ANGLE_COST_CIRCCIRCRAT (0.5/1.7)
// COST( 1e1, small_triangles_cost)
COST( 1e12, noncircular_rim_cost)
#endif
-#if XBITS==4
+#if XBITS==5
+#define STOP_EPSILON 1.2e-4
+ COST( 3e7, line_bending_cost)
+ COST( 10e2, prop_edge_length_variation_cost)
+ COST( 9.0e3, rim_proximity_cost) // 5e1 is too much
+ // 2.5e1 is too little
+ // 0.2e1 grows compared to previous ?
+ // 0.6e0 shrinks compared to previous ?
+
+// COST( 1e12, edge_angle_cost)
+ #define EDGE_ANGLE_COST_CIRCCIRCRAT (0.5/1.3)
+ COST( 1e18, noncircular_rim_cost)
+#endif
+
+#if XBITS>=6 /* nonsense follows but never mind */
#define STOP_EPSILON 1e-6
COST( 3e5, line_bending_cost)
COST( 10e2, edge_length_variation_cost)
#define EDGE_ANGLE_COST_CIRCCIRCRAT (0.5/1.3)
COST( 1e18, noncircular_rim_cost)
#endif
-};
-#define NCOSTS ((sizeof(costs)/sizeof(costs[0])))
+};
const double edge_angle_cost_circcircrat= EDGE_ANGLE_COST_CIRCCIRCRAT;
stop_epsilon= STOP_EPSILON;
}
+/*---------- energy computation machinery ----------*/
+
void compute_energy_separately(const struct Vertices *vs,
int section, void *energies_v, void *totals_v) {
double *energies= energies_v;
int ci;
-
- compute_edge_lengths(vs->a, section);
- compute_vertex_areas(vs->a, section);
-
+
+ for (ci=0; ci<NPRECOMPS; ci++) {
+ precomps[ci](vs->a, section);
+ inparallel_barrier();
+ }
for (ci=0; ci<NCOSTS; ci++)
energies[ci]= costs[ci].fn(vs->a, section);
}
-/*---------- energy computation machinery ----------*/
-
void compute_energy_combine(const struct Vertices *vertices,
int section, void *energies_v, void *totals_v) {
int ci;
-
double *energies= energies_v;
double *totals= totals_v;
if (printing) printf("%15lld c>e |", evaluations);
+ for (ci=0; ci<NCOSTS; ci++)
+ totals[ci]= 0;
+
inparallel(vs,
compute_energy_separately,
compute_energy_combine,
totals);
energy= 0;
-
for (ci=0; ci<NCOSTS; ci++)
addcost(&energy, costs[ci].weight, totals[ci], printing);
}
}
-/*---------- Edgewise vertex displacement ----------*/
+/*---------- combined vertex displacement ----------*/
+
+ /*
+ * At vertex Q considering edge direction e to R
+ * and corresponding opposite edge to P.
+ *
+ * Let R' = Q + PQ
+ * D = R' - R
+ * delta
+ * [ -1 ]
+ * cost = [ lambda . ( D . PQ/|PQ| ) + | D x PQ/|PQ| | ]
+ * Q,e [ ------------------------------------------- ]
+ * [ |PQ| ]
+ */
+
+double vertex_displacement_cost(const Vertices vertices, int section) {
+ const double inv_lambda= 1.0/1; //2;
+ const double delta= 4;
+ const double pqlen2_epsilon= 1e-12;
+
+ int pi,e,qi,ri, k;
+ double pq[D3], d[D3], ddot, dcross[D3];
+ double total_cost= 0;
+
+ FOR_EDGE(qi,e,ri, OUTER) {
+ pi= EDGE_END2(qi,(e+3)%V6); if (pi<0) continue;
+
+ K pq[k]= -vertices[pi][k] + vertices[qi][k];
+ K d[k]= vertices[qi][k] + pq[k] - vertices[ri][k];
+ ddot= dotprod(d,pq);
+ xprod(dcross, d,pq);
+ double pqlen2= magnD2(pq);
+ double cost_basis= inv_lambda * ddot + magnD(dcross);
+ double cost= pow(cost_basis / (pqlen2 + pqlen2_epsilon), delta);
+
+ total_cost += cost;
+ }
+ return total_cost;
+}
+
+/*---------- at-vertex edge angles ----------*/
/*
* Definition:
return cost;
}
+/*---------- proportional edge length variation ----------*/
+
+ /*
+ * Definition:
+ *
+ * See the diagram above.
+ * r
+ * cost = ( |PQ| - |QR| )
+ * Q,e
+ */
+
+double prop_edge_length_variation_cost(const Vertices vertices, int section) {
+ const double num_epsilon= 1e-6;
+
+ double cost= 0, exponent_r= 2;
+ int q, e,r, eback;
+
+ FOR_EDGE(q,e,r, OUTER) {
+ eback= edge_reverse(q,e);
+ double le= edge_lengths[q][e];
+ double leback= edge_lengths[q][eback];
+ double diff= le - leback;
+ double num= MIN(le, leback);
+ cost += pow(diff / (num + num_epsilon), exponent_r);
+ }
+ return cost;
+}
+
/*---------- rim proximity cost ----------*/
static void find_nearest_oncircle(double oncircle[D3], const double p[D3]) {
~ian / moebius2.git / blobdiff