Approx_poly::Approx_poly
(
const ElFifo<Pt2dr> & fp,
ArgAPP arg
) :
_arg (arg)
{
_ind0 = get_best_intexe(fp,arg.InitWithEnvConv());
_circ = fp.circ();
init(fp.nb()+_circ,arg);
for (int i = 0; i<_nb; i++)
_s[i].set_pt(fp[i+_ind0]);
if (arg._freem_sup)
{
INT nb_sup = 0;
for
(
INT k0 = _nb-1;
k0>=2;
k0--
)
{
INT k1 = k0-1;
while (freem_supprimable(k1))
{
k1--;
_s[k0]._pred = _s+k1;
_s[k1]._next = _s+k0;
nb_sup++;
}
}
}
}
template <class T> INT get_best_intexe(const ElFifo<T> & fp,bool EnvConv)
{
if (! fp.circ())
return 0;
if (fp.nb() < 4)
return 0;
INT delta = EnvConv ? 1 : std::min(5,(fp.nb()-2)/2);
REAL min_cos = 10.0;
INT best_index = 0;
std::vector<INT> aVOk;
std::vector<INT> aVPrec;
std::vector<INT> aVSucc;
for(INT aK=0 ; aK<INT(fp.size()) ; aK++)
{
aVOk.push_back(EnvConv ? 0 : 1);
aVPrec.push_back(aK-delta);
aVSucc.push_back(aK+delta);
}
if (EnvConv)
{
ElFilo<Pt2dr> aFLP;
for(INT aK=0 ; aK<INT(fp.size()) ; aK++)
aFLP.pushlast(fp[aK]);
ElFifo<INT> Ind;
env_conv(Ind,aFLP,true);
for (INT aK=0 ; aK<Ind.nb() ; aK++)
{
aVOk[Ind[aK]] = 1;
aVPrec[Ind[aK]] = Ind[(aK-1+Ind.nb())%Ind.nb()];
aVSucc[Ind[aK]] = Ind[(aK+1)%Ind.nb()];
}
}
for (INT k =0 ; k<fp.nb() ; k++)
{
if (aVOk[k])
{
T u1 = fp[k]-fp[aVPrec[k]];
T u2 = fp[aVSucc[k]]-fp[k];
double d1 = euclid(u1);
double d2 = euclid(u2);
if (d1 && d2)
{
double cosin = scal(u1,u2) / (d1*d2);
if (cosin < min_cos)
{
min_cos = cosin;
best_index = k;
}
}
}
}
return best_index ;
}
void approx_poly
(
ElFifo<INT> & res,
const ElFifo<Pt2di> & fpi,
ArgAPP arg
)
{
ElFifo<Pt2dr> fpr(fpi.size(),fpi.circ());;
for (INT aK=0 ; aK<INT(fpi.size()) ; aK++)
fpr.push_back(Pt2dr(fpi[aK]));
approx_poly(res,fpr,arg);
}
void bench_dist_point_seg_droite()
/*
On tire un segment vertical V et un point p, le calcul de d0 = D2(V,p)
est trivial ;
On tire une rotation affine r, soit d1 la distance r(V), r(p),
elle doit etre invariante par rotation. Ce processus donne
des pointe te sgement quelconuq
on verifie d1=d0
*/
{ INT f;
for (f =0; f< 1000; f++)
{
ElFifo<Pt2dr> poly;
poly.set_circ(NRrandom3() > 0.5);
random_polyl(poly,(INT)(2+20*NRrandom3()));
SegComp s = random_seg(true);
SegComp::ModePrim mode = ran_prim_seg();
ElFifo<Pt2dr> inters;
ElFifo<INT > index;
s.inter_polyline(mode,poly,index,inters);
for (INT k=0; k<index.nb(); k++)
{
INT ind = index[k];
Pt2dr inter = inters[k];
Pt2dr p0 = poly[ind];
Pt2dr p1 = poly[ind+1];
BENCH_ASSERT
(
(s.square_dist(mode,inter)<epsilon)
&& (SegComp(p0,p1).square_dist_seg(inter) < epsilon)
);
}
if ((mode==SegComp::droite) && poly.circ())
BENCH_ASSERT((inters.nb()%2)==0);
}
for ( f = 0; f<10000 ; f++)
{
bool ok;
SegComp::ModePrim m0 = ran_prim_seg();
SegComp::ModePrim m1 = ran_prim_seg();
SegComp s0 = random_seg(true);
SegComp s1 = SegNotPar(s0);
Pt2dr i = s0.inter(m0,s1,m1,ok);
BENCH_ASSERT
(
(s0.square_dist_droite(i) < BIG_epsilon)
&& (s1.square_dist_droite(i) < BIG_epsilon)
);
if ( pt_loin_from_bande(s0,i)
&& pt_loin_from_bande(s1,i)
)
{
BENCH_ASSERT
(
ok == ( seg_prim_inside(s0,i,m0)
&& seg_prim_inside(s1,i,m1)
)
);
}
}
for ( f = 0; f<10000 ; f++)
{
Pt2dr p1 = Pt2dr(0,NRrandom3()*1e3);
Pt2dr p2 = Pt2dr(0,p1.y +10+1e3*NRrandom3());
Pt2dr q = Pt2dr((NRrandom3()-0.5)*1e4,(NRrandom3()-0.5)*1e4);
SegComp::ModePrim mode = ran_prim_seg();
Pt2dr proj_q = Pt2dr(0,q.y);
Pt2dr projP_q = proj_q;
double d0 = ElSquare(q.x);
double dp0 = d0;
if (proj_q.y>p2.y)
{
if (mode == SegComp::seg)
{
dp0 += ElSquare(proj_q.y-p2.y);
projP_q.y = p2.y;
}
}
else if (proj_q.y<p1.y)
{
if (mode != SegComp::droite)
{
dp0 += ElSquare(proj_q.y-p1.y);
projP_q.y = p1.y;
}
}
Pt2dr tr = Pt2dr((NRrandom3()-0.5)*1e5,(NRrandom3()-0.5)*1e5);
REAL teta = NRrandom3() *100;
Pt2dr rot(cos(teta),sin(teta));
p1 = tr + p1 * rot;
p2 = tr + p2 * rot;
q = tr + q * rot;
proj_q = tr + proj_q * rot;
projP_q = tr + projP_q * rot;
SegComp s(p1,p2);
REAL d1 = s.square_dist_droite(q);
REAL dp1 = s.square_dist(mode,q);
BENCH_ASSERT(std::abs(d0 -d1) < BIG_epsilon);
BENCH_ASSERT(std::abs(dp0 -dp1) < BIG_epsilon);
Pt2dr proj_q_2 = s.proj_ortho_droite(q);
BENCH_ASSERT( euclid(proj_q-proj_q_2) < BIG_epsilon);
BENCH_ASSERT(euclid(projP_q,s.proj_ortho(mode,q))<BIG_epsilon);
}
for ( f = 0; f<10000 ; f++)
{
REAL rho = 1+NRrandom3()*1e3;
REAL teta = (NRrandom3()-0.5)*1.9999*PI;
Pt2dr p1 = Pt2dr::FromPolar(rho,teta);
REAL teta2 = angle(p1);
Pt2dr p2 = Pt2dr::FromPolar(1+NRrandom3()*1e3,NRrandom3()*1e3);
REAL teta3 = angle(p2,p1*p2);
BENCH_ASSERT(std::abs(teta2-teta)<epsilon);
BENCH_ASSERT(std::abs(teta3-teta)<epsilon);
}
for ( f =0; f< 2000; f++)
{
SegComp::ModePrim m0 = ran_prim_seg();
SegComp::ModePrim m1 = ran_prim_seg();
SegComp s0 = random_seg(true);
SegComp s1 = SegNotPar(s0);
Seg2d proj = s0.proj_ortho(m0,s1,m1);
BENCH_ASSERT
(
std::abs
(
square_euclid(proj.p0()-proj.p1())
-s0.square_dist(m0,s1,m1)
) < epsilon
);
BENCH_ASSERT
(
(s0.square_dist(m0,proj.p0())<epsilon)
&& (s1.square_dist(m1,proj.p1())<epsilon)
);
for (INT k=0; k< 8*(2+(INT)m0)*(2+(INT)m1) ; k++)
{
Pt2dr q0 = proj.p0() + s0.tangente()*((NRrandom3()-0.5) * (1<<(k%10))) ;
Pt2dr q1 = proj.p1() + s1.tangente()*((NRrandom3()-0.5) * (1<<(k%10))) ;
q0 = s0.proj_ortho(m0,q0);
q1 = s1.proj_ortho(m1,q1);
BENCH_ASSERT
(
euclid(proj.p0(),proj.p1())
< (euclid(q0,q1)+epsilon)
);
}
}
cout << "OK OK OK DIIIIIIST \n";
}