#define COST(weight, compute) { (weight),(compute) },
#if XBITS==3
-#define STOP_EPSILON 1e-6;
- COST( 3e2, line_bending_cost)
- COST( 1e3, edge_length_variation_cost)
- COST( 0.2e3, rim_proximity_cost)
- COST( 1e8, noncircular_rim_cost)
+#define STOP_EPSILON 1e-6
+ COST( 3e3, line_bending_cost)
+ COST( 3e3, edge_length_variation_cost)
+ COST( 0.4e3, 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
-#define STOP_EPSILON 1e-5;
- COST( 3e2, line_bending_cost)
- COST( 3e3, edge_length_variation_cost)
- COST( 3.8e1, rim_proximity_cost) // 5e1 is too much
- // 2.5e1 is too little
+#define STOP_EPSILON 1e-6
+ COST( 3e5, line_bending_cost)
+ COST( 10e2, edge_length_variation_cost)
+ COST( 9.0e1, 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, noncircular_rim_cost)
+
+ COST( 1e12, edge_angle_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;
+
void energy_init(void) {
stop_epsilon= STOP_EPSILON;
}
void compute_edge_lengths(const Vertices vertices, int section) {
int v1,e,v2;
- FOR_EDGE(v1,e,v2,OUTER)
+ FOR_EDGE(v1,e,v2, OUTER)
edge_lengths[v1][e]= hypotD(vertices[v1],vertices[v2]);
}
int v0,v1,v2, e1,e2;
// int k;
- FOR_VERTEX(v0,OUTER) {
+ FOR_VERTEX(v0, OUTER) {
double total= 0.0, edges_total=0;
int count= 0;
double line_bending_cost(const Vertices vertices, int section) {
static const double axb_epsilon= 1e-6;
- static const double exponent_r= 3;
+ static const double exponent_r= 4;
int pi,e,qi,ri, k;
double a[D3], b[D3], axb[D3];
FOR_EDGE(qi,e,ri, OUTER) {
pi= EDGE_END2(qi,(e+3)%V6); if (pi<0) continue;
+//if (!(qi&XMASK)) fprintf(stderr,"%02x-%02x-%02x (%d)\n",pi,qi,ri,e);
+
K a[k]= -vertices[pi][k] + vertices[qi][k];
K b[k]= -vertices[qi][k] + vertices[ri][k];
double delta= atan2(magnD(axb) + axb_epsilon, dotprod(a,b));
double cost= pow(delta,exponent_r);
- if (!e && !(qi & ~XMASK))
- cost *= 10;
-
total_cost += cost;
}
return total_cost;
}
return cost;
}
+
+/*---------- overly sharp edge cost ----------*/
+
+ /*
+ *
+ * Q `-_
+ * / | `-_ P'Q' ------ S'
+ * / | `-. _,' `. .
+ * / | S _,' : .
+ * / | _,-' _,' :r .r
+ * / | _,-' R' ' `. .
+ * / , P ' ` . r : .
+ * / ,-' ` . :
+ * /,-' ` C'
+ * /'
+ * R
+ *
+ *
+ *
+ * Let delta = angle between two triangles' normals
+ *
+ * Giving energy contribution:
+ *
+ * 2
+ * E = F . delta
+ * vd, edge PQ vd
+ */
+
+double edge_angle_cost(const Vertices vertices, int section) {
+ double pq1[D3], rp[D3], ps[D3], rp_2d[D3], ps_2d[D3], rs_2d[D3];
+ double a,b,c,s,r;
+ const double minradius_base= 0.2;
+
+ int pi,e,qi,ri,si, k;
+// double our_epsilon=1e-6;
+ double total_cost= 0;
+
+ FOR_EDGE(pi,e,qi, OUTER) {
+// if (!(RIM_VERTEX_P(pi) || RIM_VERTEX_P(qi))) continue;
+
+ si= EDGE_END2(pi,(e+V6-1)%V6); if (si<0) continue;
+ ri= EDGE_END2(pi,(e +1)%V6); if (ri<0) continue;
+
+ K {
+ pq1[k]= -vertices[pi][k] + vertices[qi][k];
+ rp[k]= -vertices[ri][k] + vertices[pi][k];
+ ps[k]= -vertices[pi][k] + vertices[si][k];
+ }
+
+ normalise(pq1,1,1e-6);
+ xprod(rp_2d, rp,pq1); /* projects RP into plane normal to PQ */
+ xprod(ps_2d, ps,pq1); /* likewise PS */
+ K rs_2d[k]= rp_2d[k] + ps_2d[k];
+ /* radius of circumcircle of R'P'S' from Wikipedia
+ * `Circumscribed circle' */
+ a= magnD(rp_2d);
+ b= magnD(ps_2d);
+ c= magnD(rs_2d);
+ s= 0.5*(a+b+c);
+ r= a*b*c / sqrt((a+b+c)*(a-b+c)*(b-c+a)*(c-a+b) + 1e-6);
+
+ double minradius= minradius_base + edge_angle_cost_circcircrat*(a+b);
+ double deficit= minradius - r;
+ if (deficit < 0) continue;
+ double cost= deficit*deficit;
+
+ total_cost += cost;
+ }
+
+ return total_cost;
+}
+
+/*---------- small triangles cost ----------*/
+
+ /*
+ *
+ * Q `-_
+ * / | `-_
+ * / | `-.
+ * / | S
+ * / | _,-'
+ * / | _,-'
+ * / , P '
+ * / ,-'
+ * /,-'
+ * /'
+ * R
+ *
+ * Let delta = angle between two triangles' normals
+ *
+ * Giving energy contribution:
+ *
+ * 2
+ * E = F . delta
+ * vd, edge PQ vd
+ */
+
+double small_triangles_cost(const Vertices vertices, int section) {
+ double pq[D3], ps[D3];
+ double x[D3];
+ int pi,e,qi,si, k;
+// double our_epsilon=1e-6;
+ double total_cost= 0;
+
+ FOR_EDGE(pi,e,qi, OUTER) {
+// if (!(RIM_VERTEX_P(pi) || RIM_VERTEX_P(qi))) continue;
+
+ si= EDGE_END2(pi,(e+V6-1)%V6); if (si<0) continue;
+
+ K {
+ pq[k]= vertices[qi][k] - vertices[pi][k];
+ ps[k]= vertices[si][k] - vertices[pi][k];
+ }
+ xprod(x, pq,ps);
+
+ double cost= 1/(magnD2(x) + 0.01);
+
+//double cost= pow(magnD(spqxpqr), 3);
+//assert(dot>=-1 && dot <=1);
+//double cost= 1-dot;
+ total_cost += cost;
+ }
+
+ return total_cost;
+}
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