// create the BspCurv representation of the basis Func
BspCurv<double> BspCurvBasisFunc::CreateBspCurv() const
{
int dim = ComputeDim();
Vector<double> cpts(dim,0.0);
// create KnotSet object
KnotSet kset(*kts,ord,ord+1);
int num = kset.GetNumDistinct();
// create temporary Vectors storing multiplicities and distinct knots
Vector<double> dts(kset.GetDistinctKnots());
Vector<int> mult(kset.GetMult());
// std::set multiplicities at the end equal to ord
mult[0]=ord;
mult[num-1]=ord;
// compute offstd::set
int start=kset.GetMult()[0];
// create KnotSet object for curve
KnotSet kset1(dts,mult,ord,num);
// assign 1.0 to approriate control point
cpts[ord-start]=1.0;
// create and return curve
return BspCurv<double>(cpts,kset1.GetKnots(),ord,dim);
}
// create the BezCurv representation of the basis function
BezCurv<double> BezCurvBasisFunc::CreateBezCurv() const
{
Vector<double> cpts(ord,0.0);
// create the knot set
KnotSet kset(*kts,ord,ord+1);
int num = kset.GetNumDistinct();
// create Vectors of distinct knots and multiplicities
Vector<double> dts(kset.GetDistinctKnots());
Vector<int> mult(kset.GetMult());
// set multiplicity to be ord at two ends
mult[0]=ord;
mult[num-1]=ord;
// find offset
int start=kset.GetMult()[0];
// create knot set for curve
KnotSet kset1(dts,mult,ord,num);
// assign 1.0 to appropriate control point (rest=0.0)
cpts[ord-start]=1.0;
// create and return the BezCurv
return BezCurv<double>(cpts,kset1.GetKnots(),ord);
}
void KochCoordModel::SetKochSegment(const KochSegment& seg)
{
SegmentBasePoints base_pts = seg.GetBasePoints();
PointPos pos_1((int)base_pts.p1.GetX(), (int)base_pts.p1.GetY());
PointPos pos_2((int)base_pts.p2.GetX(), (int)base_pts.p2.GetY());
CoordinatesPoint c1(pos_1, "p", true);
CoordinatesPoint c2(pos_2, "p", true);
SegmentCoordPoints cpts(c1, c2);
CoordinatesObject* s = new CoordinatesSegment(cpts, "segment", true);
s->SetColor( seg.GetColor() );
AddObject(eModelObjectType::BASE_SEGMENT, s);
s = NULL;
}
extern "C" void
rt_hyp_brep(ON_Brep **b, const struct rt_db_internal *ip, const struct bn_tol *)
{
struct rt_hyp_internal *eip;
RT_CK_DB_INTERNAL(ip);
eip = (struct rt_hyp_internal *)ip->idb_ptr;
RT_HYP_CK_MAGIC(eip);
point_t p1_origin, p2_origin;
ON_3dPoint plane1_origin, plane2_origin;
ON_3dVector plane_x_dir, plane_y_dir;
// First, find planes corresponding to the top and bottom faces - initially
vect_t x_dir, y_dir;
VMOVE(x_dir, eip->hyp_A);
VCROSS(y_dir, eip->hyp_A, eip->hyp_Hi);
VREVERSE(y_dir, y_dir);
VMOVE(p1_origin, eip->hyp_Vi);
plane1_origin = ON_3dPoint(p1_origin);
plane_x_dir = ON_3dVector(x_dir);
plane_y_dir = ON_3dVector(y_dir);
const ON_Plane hyp_bottom_plane(plane1_origin, plane_x_dir, plane_y_dir);
VADD2(p2_origin, eip->hyp_Vi, eip->hyp_Hi);
plane2_origin = ON_3dPoint(p2_origin);
const ON_Plane hyp_top_plane(plane2_origin, plane_x_dir, plane_y_dir);
// Next, create ellipses in the planes corresponding to the edges of the hyp
ON_Ellipse b_ell(hyp_bottom_plane, MAGNITUDE(eip->hyp_A), eip->hyp_b);
ON_NurbsCurve* bcurve = ON_NurbsCurve::New();
b_ell.GetNurbForm((*bcurve));
bcurve->SetDomain(0.0, 1.0);
ON_Ellipse t_ell(hyp_top_plane, MAGNITUDE(eip->hyp_A), eip->hyp_b);
ON_NurbsCurve* tcurve = ON_NurbsCurve::New();
t_ell.GetNurbForm((*tcurve));
tcurve->SetDomain(0.0, 1.0);
// Generate the bottom cap
ON_SimpleArray<ON_Curve*> boundary;
boundary.Append(ON_Curve::Cast(bcurve));
ON_PlaneSurface* bp = new ON_PlaneSurface();
bp->m_plane = hyp_bottom_plane;
bp->SetDomain(0, -100.0, 100.0);
bp->SetDomain(1, -100.0, 100.0);
bp->SetExtents(0, bp->Domain(0));
bp->SetExtents(1, bp->Domain(1));
(*b)->m_S.Append(bp);
const int bsi = (*b)->m_S.Count() - 1;
ON_BrepFace& bface = (*b)->NewFace(bsi);
(*b)->NewPlanarFaceLoop(bface.m_face_index, ON_BrepLoop::outer, boundary, true);
const ON_BrepLoop* bloop = (*b)->m_L.Last();
bp->SetDomain(0, bloop->m_pbox.m_min.x, bloop->m_pbox.m_max.x);
bp->SetDomain(1, bloop->m_pbox.m_min.y, bloop->m_pbox.m_max.y);
bp->SetExtents(0, bp->Domain(0));
bp->SetExtents(1, bp->Domain(1));
(*b)->FlipFace(bface);
(*b)->SetTrimIsoFlags(bface);
boundary.Empty();
delete bcurve;
// Generate the top cap
boundary.Append(ON_Curve::Cast(tcurve));
ON_PlaneSurface* tp = new ON_PlaneSurface();
tp->m_plane = hyp_top_plane;
tp->SetDomain(0, -100.0, 100.0);
tp->SetDomain(1, -100.0, 100.0);
tp->SetExtents(0, bp->Domain(0));
tp->SetExtents(1, bp->Domain(1));
(*b)->m_S.Append(tp);
int tsi = (*b)->m_S.Count() - 1;
ON_BrepFace& tface = (*b)->NewFace(tsi);
(*b)->NewPlanarFaceLoop(tface.m_face_index, ON_BrepLoop::outer, boundary, true);
ON_BrepLoop* tloop = (*b)->m_L.Last();
tp->SetDomain(0, tloop->m_pbox.m_min.x, tloop->m_pbox.m_max.x);
tp->SetDomain(1, tloop->m_pbox.m_min.y, tloop->m_pbox.m_max.y);
tp->SetExtents(0, bp->Domain(0));
tp->SetExtents(1, bp->Domain(1));
(*b)->SetTrimIsoFlags(tface);
delete tcurve;
// Now, the hard part. Need an elliptical hyperbolic NURBS surface.
// First step is to create a nurbs curve.
double MX = eip->hyp_b * eip->hyp_bnr;
point_t ep1, ep2, ep3;
VSET(ep1, -eip->hyp_b, 0, 0.5*MAGNITUDE(eip->hyp_Hi));
VSET(ep2, -MX*eip->hyp_bnr, 0, 0);
VSET(ep3, -eip->hyp_b, 0, -0.5*MAGNITUDE(eip->hyp_Hi));
ON_3dPoint onp1 = ON_3dPoint(ep1);
ON_3dPoint onp2 = ON_3dPoint(ep2);
ON_3dPoint onp3 = ON_3dPoint(ep3);
ON_3dPointArray cpts(3);
cpts.Append(onp1);
cpts.Append(onp2);
cpts.Append(onp3);
ON_BezierCurve *bezcurve = new ON_BezierCurve(cpts);
bezcurve->MakeRational();
bezcurve->SetWeight(1, bezcurve->Weight(0)/eip->hyp_bnr);
ON_NurbsCurve* tnurbscurve = ON_NurbsCurve::New();
bezcurve->GetNurbForm(*tnurbscurve);
delete bezcurve;
ON_3dPoint revpnt1 = ON_3dPoint(0, 0, -0.5*MAGNITUDE(eip->hyp_Hi));
ON_3dPoint revpnt2 = ON_3dPoint(0, 0, 0.5*MAGNITUDE(eip->hyp_Hi));
ON_Line revaxis = ON_Line(revpnt1, revpnt2);
ON_RevSurface* hyp_surf = ON_RevSurface::New();
hyp_surf->m_curve = tnurbscurve;
hyp_surf->m_axis = revaxis;
hyp_surf->m_angle = ON_Interval(0, 2*ON_PI);
// Get the NURBS form of the surface
ON_NurbsSurface *hypcurvedsurf = ON_NurbsSurface::New();
hyp_surf->GetNurbForm(*hypcurvedsurf, 0.0);
delete hyp_surf;
for (int i = 0; i < hypcurvedsurf->CVCount(0); i++) {
for (int j = 0; j < hypcurvedsurf->CVCount(1); j++) {
point_t cvpt;
ON_4dPoint ctrlpt;
hypcurvedsurf->GetCV(i, j, ctrlpt);
// Scale and shear
vect_t proj_ah;
vect_t proj_ax;
fastf_t factor;
VPROJECT(eip->hyp_A, eip->hyp_Hi, proj_ah, proj_ax);
VSET(cvpt, ctrlpt.x * MAGNITUDE(proj_ax)/eip->hyp_b, ctrlpt.y, ctrlpt.z);
factor = VDOT(eip->hyp_A, eip->hyp_Hi)>0 ? 1.0 : -1.0;
cvpt[2] += factor*cvpt[0]/MAGNITUDE(proj_ax)*MAGNITUDE(proj_ah) + 0.5*MAGNITUDE(eip->hyp_Hi)*ctrlpt.w;
// Rotate
vect_t Au, Bu, Hu;
mat_t R;
point_t new_cvpt;
VSCALE(Bu, y_dir, 1/MAGNITUDE(y_dir));
VSCALE(Hu, eip->hyp_Hi, 1/MAGNITUDE(eip->hyp_Hi));
VCROSS(Au, Bu, Hu);
VUNITIZE(Au);
MAT_IDN(R);
VMOVE(&R[0], Au);
VMOVE(&R[4], Bu);
VMOVE(&R[8], Hu);
VEC3X3MAT(new_cvpt, cvpt, R);
VMOVE(cvpt, new_cvpt);
// Translate
vect_t scale_v;
VSCALE(scale_v, eip->hyp_Vi, ctrlpt.w);
VADD2(cvpt, cvpt, scale_v);
ON_4dPoint newpt = ON_4dPoint(cvpt[0], cvpt[1], cvpt[2], ctrlpt.w);
hypcurvedsurf->SetCV(i, j, newpt);
}
}
(*b)->m_S.Append(hypcurvedsurf);
int surfindex = (*b)->m_S.Count();
ON_BrepFace& face = (*b)->NewFace(surfindex - 1);
(*b)->FlipFace(face);
int faceindex = (*b)->m_F.Count();
(*b)->NewOuterLoop(faceindex-1);
}
extern "C" void
rt_ehy_brep(ON_Brep **b, const struct rt_db_internal *ip, const struct bn_tol *)
{
struct rt_ehy_internal *eip;
RT_CK_DB_INTERNAL(ip);
eip = (struct rt_ehy_internal *)ip->idb_ptr;
RT_EHY_CK_MAGIC(eip);
// Check the parameters
if (!NEAR_ZERO(VDOT(eip->ehy_Au, eip->ehy_H), RT_DOT_TOL)) {
bu_log("rt_ehy_brep: Au and H are not perpendicular!\n");
return;
}
if (!NEAR_EQUAL(MAGNITUDE(eip->ehy_Au), 1.0, RT_LEN_TOL)) {
bu_log("rt_ehy_brep: Au not a unit vector!\n");
return;
}
if (MAGNITUDE(eip->ehy_H) < RT_LEN_TOL
|| eip->ehy_c < RT_LEN_TOL
|| eip->ehy_r1 < RT_LEN_TOL
|| eip->ehy_r2 < RT_LEN_TOL) {
bu_log("rt_ehy_brep: not all dimensions positive!\n");
return;
}
if (eip->ehy_r2 > eip->ehy_r1) {
bu_log("rt_ehy_brep: semi-minor axis cannot be longer than semi-major axis!\n");
return;
}
point_t p1_origin;
ON_3dPoint plane1_origin, plane2_origin;
ON_3dVector plane_x_dir, plane_y_dir;
// First, find plane in 3 space corresponding to the bottom face of the EPA.
vect_t x_dir, y_dir;
VMOVE(x_dir, eip->ehy_Au);
VCROSS(y_dir, eip->ehy_Au, eip->ehy_H);
VUNITIZE(y_dir);
VMOVE(p1_origin, eip->ehy_V);
plane1_origin = ON_3dPoint(p1_origin);
plane_x_dir = ON_3dVector(x_dir);
plane_y_dir = ON_3dVector(y_dir);
const ON_Plane ehy_bottom_plane(plane1_origin, plane_x_dir, plane_y_dir);
// Next, create an ellipse in the plane corresponding to the edge of the ehy.
ON_Ellipse ellipse1(ehy_bottom_plane, eip->ehy_r1, eip->ehy_r2);
ON_NurbsCurve* ellcurve1 = ON_NurbsCurve::New();
ellipse1.GetNurbForm((*ellcurve1));
ellcurve1->SetDomain(0.0, 1.0);
// Generate the bottom cap
ON_SimpleArray<ON_Curve*> boundary;
boundary.Append(ON_Curve::Cast(ellcurve1));
ON_PlaneSurface* bp = new ON_PlaneSurface();
bp->m_plane = ehy_bottom_plane;
bp->SetDomain(0, -100.0, 100.0);
bp->SetDomain(1, -100.0, 100.0);
bp->SetExtents(0, bp->Domain(0));
bp->SetExtents(1, bp->Domain(1));
(*b)->m_S.Append(bp);
const int bsi = (*b)->m_S.Count() - 1;
ON_BrepFace& bface = (*b)->NewFace(bsi);
(*b)->NewPlanarFaceLoop(bface.m_face_index, ON_BrepLoop::outer, boundary, true);
const ON_BrepLoop* bloop = (*b)->m_L.Last();
bp->SetDomain(0, bloop->m_pbox.m_min.x, bloop->m_pbox.m_max.x);
bp->SetDomain(1, bloop->m_pbox.m_min.y, bloop->m_pbox.m_max.y);
bp->SetExtents(0, bp->Domain(0));
bp->SetExtents(1, bp->Domain(1));
(*b)->SetTrimIsoFlags(bface);
delete ellcurve1;
// Now, the hard part. Need an elliptical hyperbolic NURBS surface
// First step is to create a nurbs curve.
double intercept_calc = (eip->ehy_c)*(eip->ehy_c)/(MAGNITUDE(eip->ehy_H) + eip->ehy_c);
double intercept_dist = MAGNITUDE(eip->ehy_H) + eip->ehy_c - intercept_calc;
double intercept_length = intercept_dist - MAGNITUDE(eip->ehy_H);
double MX = MAGNITUDE(eip->ehy_H);
double MP = MX + intercept_length;
double w = (MX/MP)/(1-MX/MP);
point_t ep1, ep2, ep3;
VSET(ep1, -eip->ehy_r1, 0, 0);
VSET(ep2, 0, 0, w*intercept_dist);
VSET(ep3, eip->ehy_r1, 0, 0);
ON_3dPoint onp1 = ON_3dPoint(ep1);
ON_3dPoint onp2 = ON_3dPoint(ep2);
ON_3dPoint onp3 = ON_3dPoint(ep3);
ON_3dPointArray cpts(3);
cpts.Append(onp1);
cpts.Append(onp2);
cpts.Append(onp3);
ON_BezierCurve *bcurve = new ON_BezierCurve(cpts);
bcurve->MakeRational();
bcurve->SetWeight(1, w);
ON_NurbsCurve* tnurbscurve = ON_NurbsCurve::New();
bcurve->GetNurbForm(*tnurbscurve);
ON_NurbsCurve* hypbnurbscurve = ON_NurbsCurve::New();
const ON_Interval subinterval = ON_Interval(0, 0.5);
tnurbscurve->GetNurbForm(*hypbnurbscurve, 0.0, &subinterval);
// Next, rotate that curve around the height vector.
point_t revpoint1, revpoint2;
VSET(revpoint1, 0, 0, 0);
VSET(revpoint2, 0, 0, MX);
ON_3dPoint rpnt1 = ON_3dPoint(revpoint1);
ON_3dPoint rpnt2 = ON_3dPoint(revpoint2);
ON_Line revaxis = ON_Line(rpnt1, rpnt2);
ON_RevSurface* hyp_surf = ON_RevSurface::New();
hyp_surf->m_curve = hypbnurbscurve;
hyp_surf->m_axis = revaxis;
hyp_surf->m_angle = ON_Interval(0, 2*ON_PI);
// Get the NURBS form of the surface
ON_NurbsSurface *ehycurvedsurf = ON_NurbsSurface::New();
hyp_surf->GetNurbForm(*ehycurvedsurf, 0.0);
delete hyp_surf;
delete tnurbscurve;
delete bcurve;
// Transformations
for (int i = 0; i < ehycurvedsurf->CVCount(0); i++) {
for (int j = 0; j < ehycurvedsurf->CVCount(1); j++) {
point_t cvpt;
ON_4dPoint ctrlpt;
ehycurvedsurf->GetCV(i, j, ctrlpt);
// Scale the control points of the
// resulting surface to map to the shorter axis.
VSET(cvpt, ctrlpt.x, ctrlpt.y * eip->ehy_r2/eip->ehy_r1, ctrlpt.z);
// Rotate according to the directions of Au and H
vect_t Hu;
mat_t R;
point_t new_cvpt;
VSCALE(Hu, eip->ehy_H, 1/MAGNITUDE(eip->ehy_H));
MAT_IDN(R);
VMOVE(&R[0], eip->ehy_Au);
VMOVE(&R[4], y_dir);
VMOVE(&R[8], Hu);
VEC3X3MAT(new_cvpt, cvpt, R);
VMOVE(cvpt, new_cvpt);
// Translate according to V
vect_t scale_v;
VSCALE(scale_v, eip->ehy_V, ctrlpt.w);
VADD2(cvpt, cvpt, scale_v);
ON_4dPoint newpt = ON_4dPoint(cvpt[0], cvpt[1], cvpt[2], ctrlpt.w);
ehycurvedsurf->SetCV(i, j, newpt);
}
}
(*b)->m_S.Append(ehycurvedsurf);
int surfindex = (*b)->m_S.Count();
ON_BrepFace& face = (*b)->NewFace(surfindex - 1);
(*b)->FlipFace(face);
int faceindex = (*b)->m_F.Count();
(*b)->NewOuterLoop(faceindex-1);
}
