// Compute section tangent stiffness, ks, from material tangent, Dt,
// by integrating over section area
// eps = [eps_11, eps_12 ]'
// e = [eps_a, kappa_z, gamma_y ]'
// ks = int_A a'*Dt*a dA
// a = [1 -y 0
// 0 0 1 ]
const Matrix&
TimoshenkoSection2d::getSectionTangent(void)
{
for (int i=0; i<9; i++)
kData[i] = 0.0;
double y, z, w;
double y2, z2, yz;
double d00, d01;
double d10, d11;
double tmp;
//double five6 = 5./6.;
//double root56 = sqrt(five6);
for (int i = 0; i < numFibers; i++) {
y = matData[i*3] - yBar;
z = matData[i*3+1] - zBar;
w = matData[i*3+2];
y2 = y*y;
z2 = z*z;
yz = y*z;
const Matrix &Dt = theMaterials[i]->getTangent();
d00 = Dt(0,0)*w; d01 = Dt(0,1)*w;
d10 = Dt(1,0)*w; d11 = Dt(1,1)*w;
kData[0] += d00; //0,0 P
kData[4] += y2*d00; //1,1 M
kData[8] += d11; //2,2 five6* V
tmp = -y*d00;
kData[1] += tmp; // 0,1
kData[3] += tmp; // 1,0
// Hit tangent terms with root56
//d01 *= root56; d10 *= root56;
kData[2] += d01; //0,2
kData[6] += d10; //2,0
kData[5] -= y*d01; //1,2
kData[7] -= y*d10; //2,1
}
return *ks;
}
void Foam::SuppressionCollision<CloudType>::collide(const scalar dt)
{
const kinematicCloud& sc =
this->owner().mesh().template
lookupObject<kinematicCloud>(suppressionCloud_);
volScalarField vDotSweep(sc.vDotSweep());
dimensionedScalar Dt("dt", dimTime, dt);
volScalarField P(type() + ":p", 1.0 - exp(-vDotSweep*Dt));
forAllIter(typename CloudType, this->owner(), iter)
{
typename CloudType::parcelType& p = iter();
label cellI = p.cell();
scalar xx = this->owner().rndGen().template sample01<scalar>();
if (xx < P[cellI])
{
p.canCombust() = -1;
p.typeId() = max(p.typeId(), suppressedParcelType_);
}
}
}
Type objective_function<Type>::operator() ()
{
DATA_VECTOR(times);
DATA_VECTOR(obs);
PARAMETER(log_R0);
PARAMETER(m);
PARAMETER(log_theta);
PARAMETER(log_sigma);
Type theta=exp(log_theta);
Type sigma=exp(log_sigma);
Type R0=exp(log_R0);
int n1=times.size();
int n2=2;//mean and variance
vector<Type> Dt(n1-1);
vector<Type> Ex(n1-1);
vector<Type> Vx(n1-1);
Type nll=0;
m=0;
Dt=diff(times);
Ex=theta*(Type(1)-exp(-R0*Dt)) + obs.segment(0, n1-1)*exp(-R0*Dt);
Vx=Type(0.5)*sigma*sigma*(Type(1)-exp(Type(-2)*R0*Dt))/R0;
for(int i=0; i<n1-1; i++)
{
nll-= dnorm(obs[i+1], Ex[i], sqrt(Vx[i]), true);
}
return nll;
}
void Remove(edge *e) {
point *u = Oi(e), *v = Dt(e);
if (u->in == e) u->in = e->on;
if (v->in == e) v->in = e->dn;
if (Oi(e->on) == u) e->on->op = e->op; else e->on->dp = e->op;
if (Oi(e->op) == u) e->op->on = e->on; else e->op->dn = e->on;
if (Oi(e->dn) == v) e->dn->op = e->dp; else e->dn->dp = e->dp;
if (Oi(e->dp) == v) e->dp->on = e->dn; else e->dp->dn = e->dn;
elist[nfree++] = e;
}
int main(){
int N = 3;
CGAL::Timer cost;
std::vector<Point_d> points;
Point_d point1(1,3,5);
Point_d point2(4,8,10);
Point_d point3(2,7,9);
Point_d point(1,2,3);
points.push_back(point1);
points.push_back(point2);
points.push_back(point3);
K Kernel
D Dt(d,Kernel,Kernel);
// CGAL_assertion(Dt.empty());
// insert the points in the triangulation
cost.reset();cost.start();
std::cout << " Delaunay triangulation of "<<N<<" points in dim "<<d<< std::flush;
std::vector<Point_d>::iterator it;
for(it = points.begin(); it!= points.end(); ++it){
Dt.insert(*it);
}
std::list<Simplex_handle> NL = Dt.all_simplices(D::NEAREST);
std::cout << " done in "<<cost.time()<<" seconds." << std::endl;
CGAL_assertion(Dt.is_valid() );
CGAL_assertion(!Dt.empty());
Vertex_handle v = Dt.nearest_neighbor(point);
Simplex_handle s = Dt.simplex(v);
std::vector<Point_d> Simplex_vertices;
for(int j=0; j<=d; ++j){
Vertex_handle vertex = Dt.vertex_of_simplex(s,j);
Simplex_vertices.push_back(Dt.associated_point(vertex));
}
std::vector<K::FT> coords;
K::Barycentric_coordinates_d BaryCoords;
BaryCoords(Simplex_vertices.begin(), Simplex_vertices.end(),point,std::inserter(coords, coords.begin()));
std::cout << coords[0] << std::endl;
return 0;
}
double
TimoshenkoSection2d::getGAy(void)
{
double G, GAy = 0.;
double y, z, A;
for (int i = 0; i < numFibers; i++) {
//y =matData[i*3] - yBar;
//z =matData[i*3+1] - zBar;
A =matData[i*3+2];
const Matrix &Dt = theMaterials[i]->getTangent();
G = Dt(1,1);
GAy += G * A;
}
return GAy;
}
double
TimoshenkoSection2d::getEIz(void)
{
double G, E, K, EIz = 0.;
double y, z, A;
for (int i = 0; i < numFibers; i++) {
y = matData[i*3] - yBar;
z = matData[i*3+1] - zBar;
A = matData[i*3+2];
const Matrix &Dt = theMaterials[i]->getTangent();
//G = Dt(1,1); K= Dt(0,0) - 4./3.*G;
E = Dt(0,0); //9.*K*G/(3.*K+G);
EIz += E * A * pow(y,2.);
}
return EIz;
}
void Divide(int s, int t, edge **L, edge **R) {
edge *a, *b, *c, *ll, *lr, *rl, *rr, *tangent;
int n = t - s + 1;
if (n == 2) *L = *R = Make_edge(Q[s], Q[t]);
else if (n == 3) {
a = Make_edge(Q[s], Q[s + 1]), b = Make_edge(Q[s + 1], Q[t]);
Splice(a, b, Q[s + 1]);
double v = C3(Q[s], Q[s + 1], Q[t]);
if (v > eps) c = Join(a, Q[s], b, Q[t], 0), *L = a, *R = b;
else if (v < -eps) c = Join(a, Q[s], b, Q[t], 1), *L = c, *R = c;
else *L = a, *R = b;
} else if (n > 3) {
int split = (s + t) / 2;
Divide(s, split, &ll, &lr); Divide(split + 1, t, &rl, &rr);
Merge(lr, Q[split], rl, Q[split + 1], &tangent);
if (Oi(tangent) == Q[s]) ll = tangent;
if (Dt(tangent) == Q[t]) rr = tangent;
*L = ll; *R = rr;
}
}
void extr(jvec &ext_EP,jvec &ext_ED,jvec &ext_Q2,jvec &ext_fP,jvec &ext_fM,jvec &ext_f0,jvec &ext_fT,int il_sea,int il,int ic)
{
////////////////////////////////////////// R0 //////////////////////////////////////
jvec R0_corr;
jack R0(njack);
//load standing
jvec ll0_st=load_3pts("V0",il,il,0,RE,ODD,1);
jvec lc0_st=load_3pts("V0",ic,il,0,RE,ODD,1);
jvec cc0_st=load_3pts("V0",ic,ic,0,RE,ODD,1);
//build R0
R0_corr=lc0_st*lc0_st.simmetric()/(cc0_st*ll0_st);
//fit and plot
R0=constant_fit(R0_corr,TH-tmax,tmax,combine("plots/R0_il_%d_ic_%d.xmg",il,ic).c_str());
//////////////////////////////////////////// R2 ////////////////////////////////////
jvec R2_corr[nth];
jvec RT_corr[nth];
jvec R2(nth,njack);
jvec RT(nth,njack);
ofstream out_R2(combine("plots/R2_il_%d_ic_%d.xmg",il,ic).c_str());
ofstream out_RT(combine("plots/RT_il_%d_ic_%d.xmg",il,ic).c_str());
jvec lcK_th[nth],lc0_th[nth],lcT_th[nth];
for(int ith=0;ith<nth;ith++)
{
//load corrs
lcK_th[ith]=load_3pts("VK",ic,il,ith,IM,EVN,-1)/(6*th_P[ith]);
lc0_th[ith]=load_3pts("V0",ic,il,ith,RE,ODD,1);
lcT_th[ith]=load_3pts("VTK",ic,il,ith,IM,ODD,1)/(6*th_P[ith]);
//build ratios
R2_corr[ith]=lcK_th[ith]/lc0_th[ith];
RT_corr[ith]=lcT_th[ith]/lcK_th[ith];
//fit
R2[ith]=constant_fit(R2_corr[ith],tmin,tmax);
RT[ith]=constant_fit(RT_corr[ith],tmin,tmax);
//plot
out_R2<<write_constant_fit_plot(R2_corr[ith],R2[ith],tmin,tmax);
out_RT<<write_constant_fit_plot(RT_corr[ith],RT[ith],tmin,tmax);
}
////////////////////////////////////////// R1 //////////////////////////////////////
jvec R1_corr[nth];
jvec R1(nth,njack);
ofstream out_P(combine("plots/out_P_il_%d_ic_%d.xmg",il,ic).c_str());
out_P<<"@type xydy"<<endl;
ofstream out_D(combine("plots/out_D_il_%d_ic_%d.xmg",il,ic).c_str());
out_D<<"@type xydy"<<endl;
ofstream out_R1(combine("plots/out_R1_il_%d_ic_%d.xmg",il,ic).c_str());
out_R1<<"@type xydy"<<endl;
//load Pi and D
jvec P_corr[nth],D_corr[nth];
jvec ED(nth,njack),EP(nth,njack);
for(int ith=0;ith<nth;ith++)
{
//load moving pion
P_corr[ith]=load_2pts("2pts_P5P5.dat",il_sea,il,ith);
out_P<<"@type xydy"<<endl;
EP[ith]=constant_fit(effective_mass(P_corr[ith]),tmin_P,TH,combine("plots/P_eff_mass_il_%d_ic_%d_ith_%d.xmg",
il,ic,ith).c_str());
out_P<<write_constant_fit_plot(effective_mass(P_corr[ith]),EP[ith],tmin_P,TH);
out_P<<"&"<<endl;
//recompute EP and ED from standing one
if(ith)
{
ED[ith]=latt_en(ED[0],th_P[ith]);
EP[ith]=latt_en(EP[0],th_P[ith]);
}
//load moving D
D_corr[ith]=load_2pts("2pts_P5P5.dat",il,ic,ith);
out_D<<"@type xydy"<<endl;
ED[ith]=constant_fit(effective_mass(D_corr[ith]),tmin_D,TH,combine("plots/D_eff_mass_il_%d_ic_%d_ith_%d.xmg",
il,ic,ith).c_str());
out_D<<write_constant_fit_plot(effective_mass(D_corr[ith]),ED[ith],tmin_D,TH);
out_D<<"&"<<endl;
//build the ratio
R1_corr[ith]=lc0_th[ith]/lc0_th[0];
for(int t=0;t<TH;t++)
{
int E_fit_reco_flag=1;
jack Dt(njack),Pt(njack);
if(E_fit_reco_flag==0)
{
Dt=D_corr[0][t]/D_corr[ith][t];
Pt=P_corr[0][TH-t]/P_corr[ith][TH-t];
}
else
{
jack ED_th=latt_en(ED[0],th_P[ith]),EP_th=latt_en(EP[0],th_P[ith]);
Dt=exp(-(ED[0]-ED_th)*t)*ED_th/ED[0];
Pt=exp(-(EP[0]-EP_th)*(TH-t))*EP_th/EP[0];
}
R1_corr[ith][t]*=Dt*Pt;
}
//fit
R1[ith]=constant_fit(R1_corr[ith],tmin,tmax);
//plot
out_R1<<write_constant_fit_plot(R1_corr[ith],R1[ith],tmin,tmax);
}
//////////////////////////////////////// solve the ratios //////////////////////////////
//compute f0[q2max]
jvec f0_r(nth,njack),fP_r(nth,njack),fT_r(nth,njack);
f0_r[0]=sqrt(R0*4*ED[0]*EP[0])/(ED[0]+EP[0]);
cout<<"f0_r[q2max]: "<<f0_r[0]<<endl;
//compute QK and Q2
double mom[nth];
jvec PK(nth,njack),QK(nth,njack);
jvec P0(nth,njack),Q0(nth,njack),Q2(nth,njack),P2(nth,njack);
jvec P0_r(nth,njack),Q0_r(nth,njack),Q2_r(nth,njack),P2_r(nth,njack);
for(int ith=0;ith<nth;ith++)
{
P0[ith]=ED[ith]+EP[ith]; //P=initial+final
Q0[ith]=ED[ith]-EP[ith]; //Q=initial-final
P0_r[ith]=latt_en(ED[0],th_P[ith])+latt_en(EP[0],th_P[ith]);
Q0_r[ith]=latt_en(ED[0],th_P[ith])-latt_en(EP[0],th_P[ith]);
//we are describing the process D->Pi
mom[ith]=momentum(th_P[ith]);
double P_D=-mom[ith];
double P_Pi=mom[ith];
PK[ith]=P_D+P_Pi;
QK[ith]=P_D-P_Pi;
P2[ith]=sqr(P0[ith])-3*sqr(PK[ith]);
Q2[ith]=sqr(Q0[ith])-3*sqr(QK[ith]);
//reconstruct Q2
P2_r[ith]=sqr(P0_r[ith])-3*sqr(PK[ith]);
Q2_r[ith]=sqr(Q0_r[ith])-3*sqr(QK[ith]);
}
//checking Pion dispertion relation
ofstream out_disp_P(combine("plots/Pion_disp_rel_il_%d_ic_%d.xmg",il,ic).c_str());
out_disp_P<<"@type xydy"<<endl;
for(int ith=0;ith<nth;ith++) out_disp_P<<3*sqr(mom[ith])<<" "<<sqr(EP[ith])<<endl;
out_disp_P<<"&"<<endl;
for(int ith=0;ith<nth;ith++) out_disp_P<<3*sqr(mom[ith])<<" "<<sqr(cont_en(EP[0],th_P[ith]))<<endl;
out_disp_P<<"&"<<endl;
for(int ith=0;ith<nth;ith++) out_disp_P<<3*sqr(mom[ith])<<" "<<sqr(latt_en(EP[0],th_P[ith]))<<endl;
out_disp_P<<"&"<<endl;
//checking D dispertion relation
ofstream out_disp_D(combine("plots/D_disp_rel_il_%d_ic_%d.xmg",il,ic).c_str());
out_disp_D<<"@type xydy"<<endl;
for(int ith=0;ith<nth;ith++) out_disp_D<<3*sqr(mom[ith])<<" "<<sqr(ED[ith])<<endl;
out_disp_D<<"&"<<endl;
for(int ith=0;ith<nth;ith++) out_disp_D<<3*sqr(mom[ith])<<" "<<sqr(cont_en(ED[0],th_P[ith]))<<endl;
out_disp_D<<"&"<<endl;
for(int ith=0;ith<nth;ith++) out_disp_D<<3*sqr(mom[ith])<<" "<<sqr(latt_en(ED[0],th_P[ith]))<<endl;
out_disp_D<<"&"<<endl;
//compute xi
jvec xi(nth,njack);
for(int ith=1;ith<nth;ith++)
{
int E_fit_reco_flag=0; //it makes no diff
jack P0_th=E_fit_reco_flag?P0_r[ith]:P0[ith];
jack Q0_th=E_fit_reco_flag?Q0_r[ith]:Q0[ith];
xi[ith]=R2[ith]*P0_th;
xi[ith]/=QK[ith]-R2[ith]*Q0_th;
}
//compute fP
ofstream out_fP_r(combine("plots/fP_r_il_%d_ic_%d.xmg",il,ic).c_str());
out_fP_r<<"@type xydy"<<endl;
for(int ith=1;ith<nth;ith++)
{
int E_fit_reco_flag=1; //it makes no diff
jack P0_th=E_fit_reco_flag?P0_r[ith]:P0[ith];
jack Q0_th=E_fit_reco_flag?Q0_r[ith]:Q0[ith];
jack c=P0_th/(ED[0]+EP[0])*(1+xi[ith]*Q0_th/P0_th);
fP_r[ith]=R1[ith]/c*f0_r[0];
out_fP_r<<Q2[ith].med()<<" "<<fP_r[ith]<<endl;
}
//compute f0 and fT
ofstream out_f0_r(combine("plots/f0_r_il_%d_ic_%d.xmg",il,ic).c_str());
ofstream out_fT_r(combine("plots/fT_r_il_%d_ic_%d.xmg",il,ic).c_str());;
out_f0_r<<"@type xydy"<<endl;
out_f0_r<<Q2[0].med()<<" "<<f0_r[0]<<endl;
out_fT_r<<"@type xydy"<<endl;
for(int ith=1;ith<nth;ith++)
{
//it seems better here to solve using reconstructed energies
int E_fit_reco_flag=0;
jack EP_th=E_fit_reco_flag?latt_en(EP[0],th_P[ith]):EP[ith];
jack ED_th=E_fit_reco_flag?latt_en(ED[0],th_P[ith]):ED[ith];
jack Q2_th=E_fit_reco_flag?Q2_r[ith]:Q2[ith];
jack fM_r=xi[ith]*fP_r[ith]; //checked
f0_r[ith]=fP_r[ith]+fM_r[ith]*Q2_th/(sqr(ED_th)-sqr(EP_th));
out_f0_r<<Q2[ith].med()<<" "<<f0_r[ith]<<endl;
fT_r[ith]=fM_r[ith]*RT[ith]*Zt_med[ibeta]/Zv_med[ibeta]*(EP[0]+ED[0])/(ED[ith]+EP[ith]); //ADD
out_fT_r<<Q2[ith].med()<<" "<<fT_r[ith]<<endl;
}
//////////////////////////////////////// analytic method /////////////////////////////
jvec fP_a(nth,njack),fM_a(nth,njack),f0_a(nth,njack),fT_a(nth,njack);
jvec fP_n(nth,njack),fM_n(nth,njack),f0_n(nth,njack),fT_n(nth,njack);
//determine M and Z for pion and D
jvec ZP(nth,njack),ZD(nth,njack);
for(int ith=0;ith<nth;ith++)
{
jack E,Z2;
two_pts_fit(E,Z2,P_corr[ith],tmin_P,TH);
ZP[ith]=sqrt(Z2);
two_pts_fit(E,Z2,D_corr[ith],tmin_D,TH);
ZD[ith]=sqrt(Z2);
}
//compute V
jvec VK_a(nth,njack),V0_a(nth,njack),TK_a(nth,njack);
jvec VK_n(nth,njack),V0_n(nth,njack),TK_n(nth,njack);
for(int ith=0;ith<nth;ith++)
{
ofstream out_V0(combine("plots/V0_il_%d_ic_%d_ith_%d_analytic_numeric.xmg",il,ic,ith).c_str());
out_V0<<"@type xydy"<<endl;
ofstream out_VK(combine("plots/VK_il_%d_ic_%d_ith_%d_analytic_numeric.xmg",il,ic,ith).c_str());
out_VK<<"@type xydy"<<endl;
ofstream out_TK(combine("plots/TK_il_%d_ic_%d_ith_%d_analytic_numeric.xmg",il,ic,ith).c_str());
out_TK<<"@type xydy"<<endl;
ofstream out_dt(combine("plots/dt_il_%d_ic_%d_ith_%d.xmg",il,ic,ith).c_str());
out_dt<<"@type xydy"<<endl;
//computing time dependance
jvec dt_a(TH+1,njack),dt_n(TH+1,njack);
{
//it seems better here to use fitted energies
int E_fit_reco_flag=1;
jack EP_th=E_fit_reco_flag?latt_en(EP[0],th_P[ith]):EP[ith];
jack ED_th=E_fit_reco_flag?latt_en(ED[0],th_P[ith]):ED[ith];
for(int t=0;t<=TH;t++)
{
dt_a[t]=exp(-(ED_th*t+EP_th*(TH-t)))*ZP[0]*ZD[0]/(4*EP_th*ED_th);
dt_n[t]=D_corr[ith][t]*P_corr[ith][TH-t]/(ZD[0]*ZP[0]);
}
}
//remove time dependance using analytic or numeric expression
jvec VK_corr_a=Zv_med[ibeta]*lcK_th[ith]/dt_a,V0_corr_a=Zv_med[ibeta]*lc0_th[ith]/dt_a;
jvec VK_corr_n=Zv_med[ibeta]*lcK_th[ith]/dt_n,V0_corr_n=Zv_med[ibeta]*lc0_th[ith]/dt_n;
jvec TK_corr_n=Zt_med[ibeta]*lcT_th[ith]/dt_n,TK_corr_a=Zt_med[ibeta]*lcT_th[ith]/dt_a;
//fit V0
V0_a[ith]=constant_fit(V0_corr_a,tmin,tmax);
V0_n[ith]=constant_fit(V0_corr_n,tmin,tmax);
out_V0<<write_constant_fit_plot(V0_corr_a,V0_a[ith],tmin,tmax)<<"&"<<endl;
out_V0<<write_constant_fit_plot(V0_corr_n,V0_n[ith],tmin,tmax)<<"&"<<endl;
//fit VK
VK_a[ith]=constant_fit(VK_corr_a,tmin,tmax);
VK_n[ith]=constant_fit(VK_corr_n,tmin,tmax);
out_VK<<write_constant_fit_plot(VK_corr_a,VK_a[ith],tmin,tmax)<<"&"<<endl;
out_VK<<write_constant_fit_plot(VK_corr_n,VK_n[ith],tmin,tmax)<<"&"<<endl;
//fit TK
TK_a[ith]=constant_fit(TK_corr_a,tmin,tmax);
TK_n[ith]=constant_fit(TK_corr_n,tmin,tmax);
out_TK<<write_constant_fit_plot(TK_corr_a,TK_a[ith],tmin,tmax)<<"&"<<endl;
out_TK<<write_constant_fit_plot(TK_corr_n,TK_n[ith],tmin,tmax)<<"&"<<endl;
}
//compute f0(q2max)
f0_a[0]=V0_a[0]/(ED[0]+EP[0]);
f0_n[0]=V0_n[0]/(ED[0]+EP[0]);
cout<<"f0_a["<<Q2[0].med()<<"]: "<<f0_a[0]<<endl;
cout<<"f0_n["<<Q2[0].med()<<"]: "<<f0_n[0]<<endl;
//solve for fP and f0
for(int ith=1;ith<nth;ith++)
{
jack delta=P0[ith]*QK[ith]-Q0[ith]*PK[ith];
//solve using analytic fit
jack deltaP_a=V0_a[ith]*QK[ith]-Q0[ith]*VK_a[ith];
jack deltaM_a=P0[ith]*VK_a[ith]-V0_a[ith]*PK[ith];
fP_a[ith]=deltaP_a/delta;
fM_a[ith]=deltaM_a/delta;
//solve using numeric fit
jack deltaP_n=V0_n[ith]*QK[ith]-Q0[ith]*VK_n[ith];
jack deltaM_n=P0[ith]*VK_n[ith]-V0_n[ith]*PK[ith];
fP_n[ith]=deltaP_n/delta;
fM_n[ith]=deltaM_n/delta;
//compute f0
f0_a[ith]=fP_a[ith]+fM_a[ith]*Q2[ith]/(ED[0]*ED[0]-EP[0]*EP[0]);
f0_n[ith]=fP_n[ith]+fM_n[ith]*Q2[ith]/(ED[0]*ED[0]-EP[0]*EP[0]);
//solve fT
fT_a[ith]=-TK_a[ith]*(EP[0]+ED[0])/(2*(ED[ith]+EP[ith]))/mom[ith];
fT_n[ith]=-TK_n[ith]*(EP[0]+ED[0])/(2*(ED[ith]+EP[ith]))/mom[ith];
}
//write analytic and umeric plot of fP and f0
ofstream out_fP_a("plots/fP_a.xmg"),out_fP_n("plots/fP_n.xmg");
ofstream out_fM_a("plots/fM_a.xmg"),out_fM_n("plots/fM_n.xmg");
ofstream out_f0_a("plots/f0_a.xmg"),out_f0_n("plots/f0_n.xmg");
ofstream out_fT_a("plots/fT_a.xmg"),out_fT_n("plots/fT_n.xmg");
out_fP_a<<"@type xydy"<<endl;
out_fP_n<<"@type xydy"<<endl;
out_f0_a<<"@type xydy"<<endl;
out_f0_n<<"@type xydy"<<endl;
out_fM_a<<"@type xydy"<<endl;
out_fM_n<<"@type xydy"<<endl;
out_fT_a<<"@type xydy"<<endl;
out_fT_n<<"@type xydy"<<endl;
out_f0_a<<Q2[0].med()<<" "<<f0_a[0]<<endl;
out_f0_n<<Q2[0].med()<<" "<<f0_n[0]<<endl;
for(int ith=1;ith<nth;ith++)
{
out_fP_a<<Q2[ith].med()<<" "<<fP_a[ith]<<endl;
out_fP_n<<Q2[ith].med()<<" "<<fP_n[ith]<<endl;
out_fM_a<<Q2[ith].med()<<" "<<fM_a[ith]<<endl;
out_fM_n<<Q2[ith].med()<<" "<<fM_n[ith]<<endl;
out_f0_a<<Q2[ith].med()<<" "<<f0_a[ith]<<endl;
out_f0_n<<Q2[ith].med()<<" "<<f0_n[ith]<<endl;
out_fT_a<<Q2[ith].med()<<" "<<fT_a[ith]<<endl;
out_fT_n<<Q2[ith].med()<<" "<<fT_n[ith]<<endl;
}
ext_EP=EP;
ext_ED=ED;
ext_Q2=Q2;
ext_fP=fP_a;
ext_fM=fM_a;
ext_f0=f0_a;
ext_fT=fT_a;
}
// Compute section tangent stiffness, ks, from material tangent, Dt,
// by integrating over section area
// ks = int_A a'*Dt*a dA
// a = [1 -y z 0 0 0
// 0 0 0 sqrt(5/6) 0 -z
// 0 0 0 0 sqrt(5/6) y]
const Matrix&
WSection2d::getSectionTangent(void)
{
ks.Zero();
double y, z, w;
double y2, z2, yz;
double d00, d01, d02;
double d10, d11, d12;
double d20, d21, d22;
double tmp;
double five6 = shapeFactor;
double root56 = sqrt(shapeFactor);
int numFibers = nfdw + 2*nftf;
for (int i = 0; i < numFibers; i++) {
y = yFibers[i];
z = 0.0;
w = AFibers[i];
y2 = y*y;
z2 = z*z;
yz = y*z;
const Matrix &Dt = theFibers[i]->getTangent();
d00 = Dt(0,0)*w; d01 = Dt(0,1)*w; d02 = Dt(0,2)*w;
d10 = Dt(1,0)*w; d11 = Dt(1,1)*w; d12 = Dt(1,2)*w;
d20 = Dt(2,0)*w; d21 = Dt(2,1)*w; d22 = Dt(2,2)*w;
// Bending terms
ks(0,0) += d00;
ks(1,1) += y2*d00;
ks(2,2) += z2*d00;
tmp = -y*d00;
ks(0,1) += tmp;
ks(1,0) += tmp;
tmp = z*d00;
ks(0,2) += tmp;
ks(2,0) += tmp;
tmp = -yz*d00;
ks(1,2) += tmp;
ks(2,1) += tmp;
// Shear terms
ks(3,3) += five6*d11;
ks(3,4) += five6*d12;
ks(4,3) += five6*d21;
ks(4,4) += five6*d22;
// Torsion term
ks(5,5) += z2*d11 - yz*(d12+d21) + y2*d22;
// Bending-torsion coupling terms
tmp = -z*d01 + y*d02;
ks(0,5) += tmp;
ks(1,5) -= y*tmp;
ks(2,5) += z*tmp;
tmp = -z*d10 + y*d20;
ks(5,0) += tmp;
ks(5,1) -= y*tmp;
ks(5,2) += z*tmp;
// Hit tangent terms with root56
d01 *= root56; d02 *= root56;
d10 *= root56; d11 *= root56; d12 *= root56;
d20 *= root56; d21 *= root56; d22 *= root56;
// Bending-shear coupling terms
ks(0,3) += d01;
ks(0,4) += d02;
ks(1,3) -= y*d01;
ks(1,4) -= y*d02;
ks(2,3) += z*d01;
ks(2,4) += z*d02;
ks(3,0) += d10;
ks(4,0) += d20;
ks(3,1) -= y*d10;
ks(4,1) -= y*d20;
ks(3,2) += z*d10;
ks(4,2) += z*d20;
// Torsion-shear coupling terms
y2 = y*d22;
z2 = -z*d11;
ks(5,3) += z2 + y*d21;
ks(5,4) += -z*d12 + y2;
ks(3,5) += z2 + y*d12;
ks(4,5) += -z*d21 + y2;
}
// Non-zero value since this is 2d section (so ks can be inverted)
ks(2,2) = 1.0;
return ks;
}
void CExWRegularGridBP::msg(float* s1, float* s2,
float* s3, float* s4, float* dst, int offset, float w, float trunc) {
float val;
////added by dy
//float * dst_old = new float[VALUES];
//for (int i=0;i<VALUES;i++)
//{
// dst_old[i] = dst[i];
//}
////added by dy end
// offset: dstOffset - srcOffset
// aggregate and find min
float minimum = INF;
for(int value = 0; value <VALUES; value++){
dst[value] = INF;
}
for (int value = 0; value < VALUES; value++) {
//message y->x: h(y) + |x-y+offset|
//h(y), y = value, dstOffset + x = srcOffset + y
float hVal = s1[value] + s2[value] + s3[value] + s4[value];
//Calculating minimum should be here! Corrected by Xiangli Kong.
if (hVal < minimum)
minimum = hVal;
int xVal = min(VALUES-1, max(0,value - offset));
hVal += abs(xVal - (value-offset));
dst[xVal] = min(dst[xVal],hVal);
//if (hVal < minimum)
// minimum = hVal;
}
// dt
Dt(dst,w);
// truncate
minimum += w * trunc;
for (int value = 0; value < VALUES; value++)
if (minimum < dst[value])
dst[value] = minimum;
// normalize
val = 0;
for (int value = 0; value < VALUES; value++)
val += dst[value];
val /= VALUES;
for (int value = 0; value < VALUES; value++)
dst[value] -= val;
//added by dy
//static FILE * fout=fopen("dst.txt","w+");
//for (int value = 0; value < VALUES; value++)
// dst[value] = (dst[value]+ dst_old[value])*0.25;
//if (dst[5]>0)
// fprintf(fout,"%f\n ",dst[5]);
////fclose(fout);
//delete [] dst_old;dst_old = NULL;
///*for (int value = 0; value < VALUES; value++)
// dst_old[value] = dst[value];*/
////added by dy end
}