X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=moebius2.git;a=blobdiff_plain;f=energy.c;h=19f32e2fa3a0459ab94339a202b6844120b0a8b1;hp=368abc4b29f78621cd707056a0ac99aec01fc726;hb=32c7d2a5c5cb58ed3a8fb9fc383a31a80b01c052;hpb=fab7a4f05e75dcccb7ed7ac6c963725a39db61ae diff --git a/energy.c b/energy.c index 368abc4..19f32e2 100644 --- a/energy.c +++ b/energy.c @@ -36,30 +36,39 @@ 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 -#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 +#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) +// COST( 1e12, edge_angle_cost) #define EDGE_ANGLE_COST_CIRCCIRCRAT (0.5/1.3) COST( 1e18, noncircular_rim_cost) #endif -#if XBITS>=5 /* nonsense follows but never mind */ +#if XBITS>=6 /* nonsense follows but never mind */ #define STOP_EPSILON 1e-6 COST( 3e5, line_bending_cost) COST( 10e2, edge_length_variation_cost) @@ -204,7 +213,47 @@ void compute_vertex_areas(const Vertices vertices, int section) { } } -/*---------- 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: @@ -289,6 +338,34 @@ double edge_length_variation_cost(const Vertices vertices, int section) { 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]) {