// in global 3D coordinate system
bp::tuple computeShearAndBending() {
PolyVec Vx, Vy, Fz, Mx, My, Tz;
beam->shearAndBending(Vx, Vy, Fz, Mx, My, Tz);
bp::list Vx0, Vy0, Fz0, Mx0, My0, Tz0;
int n = beam->getNumNodes() - 1;
for(int i = 0; i < n; i++)
{
Vx0.append(Vx(i).eval(0.0));
Vy0.append(Vy(i).eval(0.0));
Fz0.append(Fz(i).eval(0.0));
Mx0.append(-My(i).eval(0.0)); // translate back to global coordinates
My0.append(Mx(i).eval(0.0)); // translate back to global coordinates
Tz0.append(Tz(i).eval(0.0));
}
Vx0.append(Vx(n-1).eval(1.0));
Vy0.append(Vy(n-1).eval(1.0));
Fz0.append(Fz(n-1).eval(1.0));
Mx0.append(-My(n-1).eval(1.0)); // translate back to global coordinates
My0.append(Mx(n-1).eval(1.0)); // translate back to global coordinates
Tz0.append(Tz(n-1).eval(1.0));
return bp::make_tuple(bpn::array(Vx0), bpn::array(Vy0), bpn::array(Fz0), bpn::array(Mx0), bpn::array(My0), bpn::array(Tz0));
}
void foo(PV const& pv) {
PV tmp;
//tmp.front() = pv.front();
//tmp.push_back(&pv.front());
My const &mc1 = pv[0];
PV tmp2 = pv;
My &mc2 = tmp2[0];
boost::range::copy(pv, boost::ptr_container::ptr_back_inserter(tmp));
//pv[0] = My();
My const &mc3 = tmp[0];
tmp[0] = My(1);
My const &mc4 = tmp[0];
My const &mc5 = pv[0];
}
void cal_fun(vector<QPointF> point_v, vector<Func> &func_v)
{
if(point_v.size() <= 2)
{
func_v.clear();
return;
}
int n = point_v.size();
func_v.clear();
func_v.resize(n-1);
vector<double> Mx(n);
vector<double> My(n);
vector<double> A(n-2);
vector<double> B(n-2);
vector<double> C(n-2);
vector<double> Dx(n-2);
vector<double> Dy(n-2);
vector<double> h(n-1);
for(int i = 0; i < n-1; i++)
{
h[i] = sqrt(pow(point_v[i+1].x() - point_v[i].x(), 2) + pow(point_v[i+1].y() - point_v[i].y(), 2));
}
for(int i = 0; i < n-2; i++)
{
A[i] = h[i];
B[i] = 2*(h[i]+h[i+1]);
C[i] = h[i+1];
Dx[i] = 6*( (point_v[i+2].x() - point_v[i+1].x())/h[i+1] - (point_v[i+1].x() - point_v[i].x())/h[i] );
Dy[i] = 6*( (point_v[i+2].y() - point_v[i+1].y())/h[i+1] - (point_v[i+1].y() - point_v[i].y())/h[i] );
}
//TDMA
C[0] = C[0] / B[0];
Dx[0] = Dx[0] / B[0];
Dy[0] = Dy[0] / B[0];
for(int i = 1; i < n-2; i++)
{
double tmp = B[i] - A[i]*C[i-1];
C[i] = C[i] / tmp;
Dx[i] = (Dx[i] - A[i]*Dx[i-1]) / tmp;
Dy[i] = (Dy[i] - A[i]*Dy[i-1]) / tmp;
}
Mx[n-2] = Dx[n-3];
My[n-2] = Dy[n-3];
for(int i = n-4; i >= 0; i--)
{
Mx[i+1] = Dx[i] - C[i]*Mx[i+2];
My[i+1] = Dy[i] - C[i]*My[i+2];
}
Mx[0] = 0;
Mx[n-1] = 0;
My[0] = 0;
My[n-1] = 0;
for(int i = 0; i < n-1; i++)
{
func_v[i].a_x = point_v[i].x();
func_v[i].b_x = (point_v[i+1].x() - point_v[i].x())/h[i] - (2*h[i]*Mx[i] + h[i]*Mx[i+1]) / 6;
func_v[i].c_x = Mx[i]/2;
func_v[i].d_x = (Mx[i+1] - Mx[i]) / (6*h[i]);
func_v[i].a_y = point_v[i].y();
func_v[i].b_y = (point_v[i+1].y() - point_v[i].y())/h[i] - (2*h[i]*My[i] + h[i]*My[i+1]) / 6;
func_v[i].c_y = My[i]/2;
func_v[i].d_y = (My[i+1] - My[i]) / (6*h[i]);
func_v[i].h = h[i];
}
}
