//-----------------------------------------------------------------------------
// Select everything that lies within the marquee view-aligned rectangle. For
// points, we test by the point location. For normals, we test by the normal's
// associated point. For anything else, we test by any piecewise linear edge.
//-----------------------------------------------------------------------------
void GraphicsWindow::SelectByMarquee(void) {
Point2d begin = ProjectPoint(orig.marqueePoint);
double xmin = min(orig.mouse.x, begin.x),
xmax = max(orig.mouse.x, begin.x),
ymin = min(orig.mouse.y, begin.y),
ymax = max(orig.mouse.y, begin.y);
Entity *e;
for(e = SK.entity.First(); e; e = SK.entity.NextAfter(e)) {
if(e->group.v != SS.GW.activeGroup.v) continue;
if(e->IsFace() || e->IsDistance()) continue;
if(!e->IsVisible()) continue;
if(e->IsPoint() || e->IsNormal()) {
Vector p = e->IsPoint() ? e->PointGetNum() :
SK.GetEntity(e->point[0])->PointGetNum();
Point2d pp = ProjectPoint(p);
if(pp.x >= xmin && pp.x <= xmax &&
pp.y >= ymin && pp.y <= ymax)
{
MakeSelected(e->h);
}
} else {
// Use the 3d bounding box test routines, to avoid duplication;
// so let our bounding square become a bounding box that certainly
// includes the z = 0 plane.
Vector ptMin = Vector::From(xmin, ymin, -1),
ptMax = Vector::From(xmax, ymax, 1);
SEdgeList sel;
ZERO(&sel);
e->GenerateEdges(&sel, true);
SEdge *se;
for(se = sel.l.First(); se; se = sel.l.NextAfter(se)) {
Point2d ppa = ProjectPoint(se->a),
ppb = ProjectPoint(se->b);
Vector ptA = Vector::From(ppa.x, ppa.y, 0),
ptB = Vector::From(ppb.x, ppb.y, 0);
if(Vector::BoundingBoxIntersectsLine(ptMax, ptMin,
ptA, ptB, true) ||
!ptA.OutsideAndNotOn(ptMax, ptMin) ||
!ptB.OutsideAndNotOn(ptMax, ptMin))
{
MakeSelected(e->h);
break;
}
}
sel.Clear();
}
}
}
void SSurface::TriangulateInto(SShell *shell, SMesh *sm) {
SEdgeList el = {};
MakeEdgesInto(shell, &el, AS_UV);
SPolygon poly = {};
if(el.AssemblePolygon(&poly, NULL, true)) {
int i, start = sm->l.n;
if(degm == 1 && degn == 1) {
// A surface with curvature along one direction only; so
// choose the triangulation with chords that lie as much
// as possible within the surface. And since the trim curves
// have been pwl'd to within the desired chord tol, that will
// produce a surface good to within roughly that tol.
//
// If this is just a plane (degree (1, 1)) then the triangulation
// code will notice that, and not bother checking chord tols.
poly.UvTriangulateInto(sm, this);
} else {
// A surface with compound curvature. So we must overlay a
// two-dimensional grid, and triangulate around that.
poly.UvGridTriangulateInto(sm, this);
}
STriMeta meta = { face, color };
for(i = start; i < sm->l.n; i++) {
STriangle *st = &(sm->l.elem[i]);
st->meta = meta;
st->an = NormalAt(st->a.x, st->a.y);
st->bn = NormalAt(st->b.x, st->b.y);
st->cn = NormalAt(st->c.x, st->c.y);
st->a = PointAt(st->a.x, st->a.y);
st->b = PointAt(st->b.x, st->b.y);
st->c = PointAt(st->c.x, st->c.y);
// Works out that my chosen contour direction is inconsistent with
// the triangle direction, sigh.
st->FlipNormal();
}
} else {
dbp("failed to assemble polygon to trim nurbs surface in uv space");
}
el.Clear();
poly.Clear();
}
bool SPolygon::SelfIntersecting(Vector *intersectsAt) {
SEdgeList el;
ZERO(&el);
MakeEdgesInto(&el);
SKdNodeEdges *kdtree = SKdNodeEdges::From(&el);
int cnt = 1;
el.l.ClearTags();
bool ret = false;
SEdge *se;
for(se = el.l.First(); se; se = el.l.NextAfter(se)) {
int inters = kdtree->AnyEdgeCrossings(se->a, se->b, cnt, intersectsAt);
if(inters != 1) {
ret = true;
break;
}
cnt++;
}
el.Clear();
return ret;
}
void SolveSpaceUI::MenuAnalyze(int id) {
SS.GW.GroupSelection();
#define gs (SS.GW.gs)
switch(id) {
case GraphicsWindow::MNU_STEP_DIM:
if(gs.constraints == 1 && gs.n == 0) {
Constraint *c = SK.GetConstraint(gs.constraint[0]);
if(c->HasLabel() && !c->reference) {
SS.TW.shown.dimFinish = c->valA;
SS.TW.shown.dimSteps = 10;
SS.TW.shown.dimIsDistance =
(c->type != Constraint::ANGLE) &&
(c->type != Constraint::LENGTH_RATIO) &&
(c->type != Constraint::LENGTH_DIFFERENCE);
SS.TW.shown.constraint = c->h;
SS.TW.shown.screen = TextWindow::SCREEN_STEP_DIMENSION;
// The step params are specified in the text window,
// so force that to be shown.
SS.GW.ForceTextWindowShown();
SS.ScheduleShowTW();
SS.GW.ClearSelection();
} else {
Error("Constraint must have a label, and must not be "
"a reference dimension.");
}
} else {
Error("Bad selection for step dimension; select a constraint.");
}
break;
case GraphicsWindow::MNU_NAKED_EDGES: {
SS.nakedEdges.Clear();
Group *g = SK.GetGroup(SS.GW.activeGroup);
SMesh *m = &(g->displayMesh);
SKdNode *root = SKdNode::From(m);
bool inters, leaks;
root->MakeCertainEdgesInto(&(SS.nakedEdges),
SKdNode::NAKED_OR_SELF_INTER_EDGES, true, &inters, &leaks);
InvalidateGraphics();
const char *intersMsg = inters ?
"The mesh is self-intersecting (NOT okay, invalid)." :
"The mesh is not self-intersecting (okay, valid).";
const char *leaksMsg = leaks ?
"The mesh has naked edges (NOT okay, invalid)." :
"The mesh is watertight (okay, valid).";
std::string cntMsg = ssprintf("\n\nThe model contains %d triangles, from "
"%d surfaces.", g->displayMesh.l.n, g->runningShell.surface.n);
if(SS.nakedEdges.l.n == 0) {
Message("%s\n\n%s\n\nZero problematic edges, good.%s",
intersMsg, leaksMsg, cntMsg.c_str());
} else {
Error("%s\n\n%s\n\n%d problematic edges, bad.%s",
intersMsg, leaksMsg, SS.nakedEdges.l.n, cntMsg.c_str());
}
break;
}
case GraphicsWindow::MNU_INTERFERENCE: {
SS.nakedEdges.Clear();
SMesh *m = &(SK.GetGroup(SS.GW.activeGroup)->displayMesh);
SKdNode *root = SKdNode::From(m);
bool inters, leaks;
root->MakeCertainEdgesInto(&(SS.nakedEdges),
SKdNode::SELF_INTER_EDGES, false, &inters, &leaks);
InvalidateGraphics();
if(inters) {
Error("%d edges interfere with other triangles, bad.",
SS.nakedEdges.l.n);
} else {
Message("The assembly does not interfere, good.");
}
break;
}
case GraphicsWindow::MNU_VOLUME: {
SMesh *m = &(SK.GetGroup(SS.GW.activeGroup)->displayMesh);
double vol = 0;
int i;
for(i = 0; i < m->l.n; i++) {
STriangle tr = m->l.elem[i];
// Translate to place vertex A at (x, y, 0)
Vector trans = Vector::From(tr.a.x, tr.a.y, 0);
tr.a = (tr.a).Minus(trans);
tr.b = (tr.b).Minus(trans);
tr.c = (tr.c).Minus(trans);
// Rotate to place vertex B on the y-axis. Depending on
// whether the triangle is CW or CCW, C is either to the
// right or to the left of the y-axis. This handles the
// sign of our normal.
Vector u = Vector::From(-tr.b.y, tr.b.x, 0);
u = u.WithMagnitude(1);
Vector v = Vector::From(tr.b.x, tr.b.y, 0);
v = v.WithMagnitude(1);
Vector n = Vector::From(0, 0, 1);
tr.a = (tr.a).DotInToCsys(u, v, n);
tr.b = (tr.b).DotInToCsys(u, v, n);
tr.c = (tr.c).DotInToCsys(u, v, n);
n = tr.Normal().WithMagnitude(1);
// Triangles on edge don't contribute
if(fabs(n.z) < LENGTH_EPS) continue;
// The plane has equation p dot n = a dot n
double d = (tr.a).Dot(n);
// nx*x + ny*y + nz*z = d
// nz*z = d - nx*x - ny*y
double A = -n.x/n.z, B = -n.y/n.z, C = d/n.z;
double mac = tr.c.y/tr.c.x, mbc = (tr.c.y - tr.b.y)/tr.c.x;
double xc = tr.c.x, yb = tr.b.y;
// I asked Maple for
// int(int(A*x + B*y +C, y=mac*x..(mbc*x + yb)), x=0..xc);
double integral =
(1.0/3)*(
A*(mbc-mac)+
(1.0/2)*B*(mbc*mbc-mac*mac)
)*(xc*xc*xc)+
(1.0/2)*(A*yb+B*yb*mbc+C*(mbc-mac))*xc*xc+
C*yb*xc+
(1.0/2)*B*yb*yb*xc;
vol += integral;
}
std::string msg = ssprintf("The volume of the solid model is:\n\n"" %.3f %s^3",
vol / pow(SS.MmPerUnit(), 3),
SS.UnitName());
if(SS.viewUnits == SolveSpaceUI::UNIT_MM) {
msg += ssprintf("\n %.2f mL", vol/(10*10*10));
}
msg += "\n\nCurved surfaces have been approximated as triangles.\n"
"This introduces error, typically of around 1%.";
Message("%s", msg.c_str());
break;
}
case GraphicsWindow::MNU_AREA: {
Group *g = SK.GetGroup(SS.GW.activeGroup);
if(g->polyError.how != Group::POLY_GOOD) {
Error("This group does not contain a correctly-formed "
"2d closed area. It is open, not coplanar, or self-"
"intersecting.");
break;
}
SEdgeList sel = {};
g->polyLoops.MakeEdgesInto(&sel);
SPolygon sp = {};
sel.AssemblePolygon(&sp, NULL, true);
sp.normal = sp.ComputeNormal();
sp.FixContourDirections();
double area = sp.SignedArea();
double scale = SS.MmPerUnit();
Message("The area of the region sketched in this group is:\n\n"
" %.3f %s^2\n\n"
"Curves have been approximated as piecewise linear.\n"
"This introduces error, typically of around 1%%.",
area / (scale*scale),
SS.UnitName());
sel.Clear();
sp.Clear();
break;
}
case GraphicsWindow::MNU_SHOW_DOF:
// This works like a normal solve, except that it calculates
// which variables are free/bound at the same time.
SS.GenerateAll(SolveSpaceUI::GENERATE_ALL, true);
break;
case GraphicsWindow::MNU_TRACE_PT:
if(gs.points == 1 && gs.n == 1) {
SS.traced.point = gs.point[0];
SS.GW.ClearSelection();
} else {
Error("Bad selection for trace; select a single point.");
}
break;
case GraphicsWindow::MNU_STOP_TRACING: {
std::string exportFile;
if(GetSaveFile(&exportFile, "", CsvFileFilter)) {
FILE *f = ssfopen(exportFile, "wb");
if(f) {
int i;
SContour *sc = &(SS.traced.path);
for(i = 0; i < sc->l.n; i++) {
Vector p = sc->l.elem[i].p;
double s = SS.exportScale;
fprintf(f, "%.10f, %.10f, %.10f\r\n",
p.x/s, p.y/s, p.z/s);
}
fclose(f);
} else {
Error("Couldn't write to '%s'", exportFile.c_str());
}
}
// Clear the trace, and stop tracing
SS.traced.point = Entity::NO_ENTITY;
SS.traced.path.l.Clear();
InvalidateGraphics();
break;
}
default: oops();
}
}
//-----------------------------------------------------------------------------
// Trim this surface against the specified shell, in the way that's appropriate
// for the specified Boolean operation type (and which operand we are). We
// also need a pointer to the shell that contains our own surface, since that
// contains our original trim curves.
//-----------------------------------------------------------------------------
SSurface SSurface::MakeCopyTrimAgainst(SShell *parent,
SShell *sha, SShell *shb,
SShell *into,
int type)
{
bool opA = (parent == sha);
SShell *agnst = opA ? shb : sha;
SSurface ret;
// The returned surface is identical, just the trim curves change
ret = *this;
ret.trim = {};
// First, build a list of the existing trim curves; update them to use
// the split curves.
STrimBy *stb;
for(stb = trim.First(); stb; stb = trim.NextAfter(stb)) {
STrimBy stn = *stb;
stn.curve = (parent->curve.FindById(stn.curve))->newH;
ret.trim.Add(&stn);
}
if(type == SShell::AS_DIFFERENCE && !opA) {
// The second operand of a Boolean difference gets turned inside out
ret.Reverse();
}
// Build up our original trim polygon; remember the coordinates could
// be changed if we just flipped the surface normal, and we are using
// the split curves (not the original curves).
SEdgeList orig = {};
ret.MakeEdgesInto(into, &orig, AS_UV);
ret.trim.Clear();
// which means that we can't necessarily use the old BSP...
SBspUv *origBsp = SBspUv::From(&orig, &ret);
// And now intersect the other shell against us
SEdgeList inter = {};
SSurface *ss;
for(ss = agnst->surface.First(); ss; ss = agnst->surface.NextAfter(ss)) {
SCurve *sc;
for(sc = into->curve.First(); sc; sc = into->curve.NextAfter(sc)) {
if(sc->source != SCurve::FROM_INTERSECTION) continue;
if(opA) {
if(sc->surfA.v != h.v || sc->surfB.v != ss->h.v) continue;
} else {
if(sc->surfB.v != h.v || sc->surfA.v != ss->h.v) continue;
}
int i;
for(i = 1; i < sc->pts.n; i++) {
Vector a = sc->pts.elem[i-1].p,
b = sc->pts.elem[i].p;
Point2d auv, buv;
ss->ClosestPointTo(a, &(auv.x), &(auv.y));
ss->ClosestPointTo(b, &(buv.x), &(buv.y));
int c = (ss->bsp) ? ss->bsp->ClassifyEdge(auv, buv, ss) : SBspUv::OUTSIDE;
if(c != SBspUv::OUTSIDE) {
Vector ta = Vector::From(0, 0, 0);
Vector tb = Vector::From(0, 0, 0);
ret.ClosestPointTo(a, &(ta.x), &(ta.y));
ret.ClosestPointTo(b, &(tb.x), &(tb.y));
Vector tn = ret.NormalAt(ta.x, ta.y);
Vector sn = ss->NormalAt(auv.x, auv.y);
// We are subtracting the portion of our surface that
// lies in the shell, so the in-plane edge normal should
// point opposite to the surface normal.
bool bkwds = true;
if((tn.Cross(b.Minus(a))).Dot(sn) < 0) bkwds = !bkwds;
if(type == SShell::AS_DIFFERENCE && !opA) bkwds = !bkwds;
if(bkwds) {
inter.AddEdge(tb, ta, sc->h.v, 1);
} else {
inter.AddEdge(ta, tb, sc->h.v, 0);
}
}
}
}
}
// Record all the points where more than two edges join, which I will call
// the choosing points. If two edges join at a non-choosing point, then
// they must either both be kept or both be discarded (since that would
// otherwise create an open contour).
SPointList choosing = {};
SEdge *se;
for(se = orig.l.First(); se; se = orig.l.NextAfter(se)) {
choosing.IncrementTagFor(se->a);
choosing.IncrementTagFor(se->b);
}
for(se = inter.l.First(); se; se = inter.l.NextAfter(se)) {
choosing.IncrementTagFor(se->a);
choosing.IncrementTagFor(se->b);
}
SPoint *sp;
for(sp = choosing.l.First(); sp; sp = choosing.l.NextAfter(sp)) {
if(sp->tag == 2) {
sp->tag = 1;
} else {
sp->tag = 0;
}
}
choosing.l.RemoveTagged();
// The list of edges to trim our new surface, a combination of edges from
// our original and intersecting edge lists.
SEdgeList final = {};
while(orig.l.n > 0) {
SEdgeList chain = {};
FindChainAvoiding(&orig, &chain, &choosing);
// Arbitrarily choose an edge within the chain to classify; they
// should all be the same, though.
se = &(chain.l.elem[chain.l.n/2]);
Point2d auv = (se->a).ProjectXy(),
buv = (se->b).ProjectXy();
Vector pt, enin, enout, surfn;
ret.EdgeNormalsWithinSurface(auv, buv, &pt, &enin, &enout, &surfn,
se->auxA, into, sha, shb);
int indir_shell, outdir_shell, indir_orig, outdir_orig;
indir_orig = SShell::INSIDE;
outdir_orig = SShell::OUTSIDE;
agnst->ClassifyEdge(&indir_shell, &outdir_shell,
ret.PointAt(auv), ret.PointAt(buv), pt,
enin, enout, surfn);
if(KeepEdge(type, opA, indir_shell, outdir_shell,
indir_orig, outdir_orig))
{
for(se = chain.l.First(); se; se = chain.l.NextAfter(se)) {
final.AddEdge(se->a, se->b, se->auxA, se->auxB);
}
}
chain.Clear();
}
void SPolygon::UvGridTriangulateInto(SMesh *mesh, SSurface *srf) {
SEdgeList orig;
ZERO(&orig);
MakeEdgesInto(&orig);
SEdgeList holes;
ZERO(&holes);
normal = Vector::From(0, 0, 1);
FixContourDirections();
// Build a rectangular grid, with horizontal and vertical lines in the
// uv plane. The spacing of these lines is adaptive, so calculate that.
List<double> li, lj;
ZERO(&li);
ZERO(&lj);
double v = 0;
li.Add(&v);
srf->MakeTriangulationGridInto(&li, 0, 1, true);
lj.Add(&v);
srf->MakeTriangulationGridInto(&lj, 0, 1, false);
// Now iterate over each quad in the grid. If it's outside the polygon,
// or if it intersects the polygon, then we discard it. Otherwise we
// generate two triangles in the mesh, and cut it out of our polygon.
int i, j;
for(i = 0; i < (li.n - 1); i++) {
for(j = 0; j < (lj.n - 1); j++) {
double us = li.elem[i], uf = li.elem[i+1],
vs = lj.elem[j], vf = lj.elem[j+1];
Vector a = Vector::From(us, vs, 0),
b = Vector::From(us, vf, 0),
c = Vector::From(uf, vf, 0),
d = Vector::From(uf, vs, 0);
if(orig.AnyEdgeCrossings(a, b, NULL) ||
orig.AnyEdgeCrossings(b, c, NULL) ||
orig.AnyEdgeCrossings(c, d, NULL) ||
orig.AnyEdgeCrossings(d, a, NULL))
{
continue;
}
// There's no intersections, so it doesn't matter which point
// we decide to test.
if(!this->ContainsPoint(a)) {
continue;
}
// Add the quad to our mesh
STriangle tr;
ZERO(&tr);
tr.a = a;
tr.b = b;
tr.c = c;
mesh->AddTriangle(&tr);
tr.a = a;
tr.b = c;
tr.c = d;
mesh->AddTriangle(&tr);
holes.AddEdge(a, b);
holes.AddEdge(b, c);
holes.AddEdge(c, d);
holes.AddEdge(d, a);
}
}
holes.CullExtraneousEdges();
SPolygon hp;
ZERO(&hp);
holes.AssemblePolygon(&hp, NULL, true);
SContour *sc;
for(sc = hp.l.First(); sc; sc = hp.l.NextAfter(sc)) {
l.Add(sc);
}
orig.Clear();
holes.Clear();
li.Clear();
lj.Clear();
hp.l.Clear();
UvTriangulateInto(mesh, srf);
}
void SPolygon::UvTriangulateInto(SMesh *m, SSurface *srf) {
if(l.n <= 0) return;
SDWORD in = GetMilliseconds();
normal = Vector::From(0, 0, 1);
while(l.n > 0) {
FixContourDirections();
l.ClearTags();
// Find a top-level contour, and start with that. Then build bridges
// in order to merge all its islands into a single contour.
SContour *top;
for(top = l.First(); top; top = l.NextAfter(top)) {
if(top->timesEnclosed == 0) {
break;
}
}
if(!top) {
dbp("polygon has no top-level contours?");
return;
}
// Start with the outer contour
SContour merged;
ZERO(&merged);
top->tag = 1;
top->CopyInto(&merged);
(merged.l.n)--;
// List all of the edges, for testing whether bridges work.
SEdgeList el;
ZERO(&el);
top->MakeEdgesInto(&el);
List<Vector> vl;
ZERO(&vl);
// And now find all of its holes. Note that we will also find any
// outer contours that lie entirely within this contour, and any
// holes for those contours. But that's okay, because we can merge
// those too.
SContour *sc;
for(sc = l.First(); sc; sc = l.NextAfter(sc)) {
if(sc->timesEnclosed != 1) continue;
if(sc->l.n < 2) continue;
// Test the midpoint of an edge. Our polygon may not be self-
// intersecting, but two contours may share a vertex; so a
// vertex could be on the edge of another polygon, in which
// case ContainsPointProjdToNormal returns indeterminate.
Vector tp = sc->AnyEdgeMidpoint();
if(top->ContainsPointProjdToNormal(normal, tp)) {
sc->tag = 2;
sc->MakeEdgesInto(&el);
sc->FindPointWithMinX();
}
}
// dbp("finished finding holes: %d ms", GetMilliseconds() - in);
for(;;) {
double xmin = 1e10;
SContour *scmin = NULL;
for(sc = l.First(); sc; sc = l.NextAfter(sc)) {
if(sc->tag != 2) continue;
if(sc->xminPt.x < xmin) {
xmin = sc->xminPt.x;
scmin = sc;
}
}
if(!scmin) break;
if(!merged.BridgeToContour(scmin, &el, &vl)) {
dbp("couldn't merge our hole");
return;
}
// dbp(" bridged to contour: %d ms", GetMilliseconds() - in);
scmin->tag = 3;
}
// dbp("finished merging holes: %d ms", GetMilliseconds() - in);
merged.UvTriangulateInto(m, srf);
// dbp("finished ear clippping: %d ms", GetMilliseconds() - in);
merged.l.Clear();
el.Clear();
vl.Clear();
// Careful, need to free the points within the contours, and not just
// the contours themselves. This was a tricky memory leak.
for(sc = l.First(); sc; sc = l.NextAfter(sc)) {
if(sc->tag) {
sc->l.Clear();
}
}
l.RemoveTagged();
}
}
void SSurface::IntersectAgainst(SSurface *b, SShell *agnstA, SShell *agnstB,
SShell *into)
{
Vector amax, amin, bmax, bmin;
GetAxisAlignedBounding(&amax, &amin);
b->GetAxisAlignedBounding(&bmax, &bmin);
if(Vector::BoundingBoxesDisjoint(amax, amin, bmax, bmin)) {
// They cannot possibly intersect, no curves to generate
return;
}
Vector alongt, alongb;
SBezier oft, ofb;
bool isExtdt = this->IsExtrusion(&oft, &alongt),
isExtdb = b->IsExtrusion(&ofb, &alongb);
if(degm == 1 && degn == 1 && b->degm == 1 && b->degn == 1) {
// Line-line intersection; it's a plane or nothing.
Vector na = NormalAt(0, 0).WithMagnitude(1),
nb = b->NormalAt(0, 0).WithMagnitude(1);
double da = na.Dot(PointAt(0, 0)),
db = nb.Dot(b->PointAt(0, 0));
Vector dl = na.Cross(nb);
if(dl.Magnitude() < LENGTH_EPS) return; // parallel planes
dl = dl.WithMagnitude(1);
Vector p = Vector::AtIntersectionOfPlanes(na, da, nb, db);
// Trim it to the region 0 <= {u,v} <= 1 for each plane; not strictly
// necessary, since line will be split and excess edges culled, but
// this improves speed and robustness.
int i;
double tmax = VERY_POSITIVE, tmin = VERY_NEGATIVE;
for(i = 0; i < 2; i++) {
SSurface *s = (i == 0) ? this : b;
Vector tu, tv;
s->TangentsAt(0, 0, &tu, &tv);
double up, vp, ud, vd;
s->ClosestPointTo(p, &up, &vp);
ud = (dl.Dot(tu)) / tu.MagSquared();
vd = (dl.Dot(tv)) / tv.MagSquared();
// so u = up + t*ud
// v = vp + t*vd
if(ud > LENGTH_EPS) {
tmin = max(tmin, -up/ud);
tmax = min(tmax, (1 - up)/ud);
} else if(ud < -LENGTH_EPS) {
tmax = min(tmax, -up/ud);
tmin = max(tmin, (1 - up)/ud);
} else {
if(up < -LENGTH_EPS || up > 1 + LENGTH_EPS) {
// u is constant, and outside [0, 1]
tmax = VERY_NEGATIVE;
}
}
if(vd > LENGTH_EPS) {
tmin = max(tmin, -vp/vd);
tmax = min(tmax, (1 - vp)/vd);
} else if(vd < -LENGTH_EPS) {
tmax = min(tmax, -vp/vd);
tmin = max(tmin, (1 - vp)/vd);
} else {
if(vp < -LENGTH_EPS || vp > 1 + LENGTH_EPS) {
// v is constant, and outside [0, 1]
tmax = VERY_NEGATIVE;
}
}
}
if(tmax > tmin + LENGTH_EPS) {
SBezier bezier = SBezier::From(p.Plus(dl.ScaledBy(tmin)),
p.Plus(dl.ScaledBy(tmax)));
AddExactIntersectionCurve(&bezier, b, agnstA, agnstB, into);
}
} else if((degm == 1 && degn == 1 && isExtdb) ||
(b->degm == 1 && b->degn == 1 && isExtdt))
{
// The intersection between a plane and a surface of extrusion
SSurface *splane, *sext;
if(degm == 1 && degn == 1) {
splane = this;
sext = b;
} else {
splane = b;
sext = this;
}
Vector n = splane->NormalAt(0, 0).WithMagnitude(1), along;
double d = n.Dot(splane->PointAt(0, 0));
SBezier bezier;
(void)sext->IsExtrusion(&bezier, &along);
if(fabs(n.Dot(along)) < LENGTH_EPS) {
// Direction of extrusion is parallel to plane; so intersection
// is zero or more lines. Build a line within the plane, and
// normal to the direction of extrusion, and intersect that line
// against the surface; each intersection point corresponds to
// a line.
Vector pm, alu, p0, dp;
// a point halfway along the extrusion
pm = ((sext->ctrl[0][0]).Plus(sext->ctrl[0][1])).ScaledBy(0.5);
alu = along.WithMagnitude(1);
dp = (n.Cross(along)).WithMagnitude(1);
// n, alu, and dp form an orthogonal csys; set n component to
// place it on the plane, alu component to lie halfway along
// extrusion, and dp component doesn't matter so zero
p0 = n.ScaledBy(d).Plus(alu.ScaledBy(pm.Dot(alu)));
List<SInter> inters = {};
sext->AllPointsIntersecting(p0, p0.Plus(dp), &inters,
/*asSegment=*/false, /*trimmed=*/false, /*inclTangent=*/true);
SInter *si;
for(si = inters.First(); si; si = inters.NextAfter(si)) {
Vector al = along.ScaledBy(0.5);
SBezier bezier;
bezier = SBezier::From((si->p).Minus(al), (si->p).Plus(al));
AddExactIntersectionCurve(&bezier, b, agnstA, agnstB, into);
}
inters.Clear();
} else {
// Direction of extrusion is not parallel to plane; so
// intersection is projection of extruded curve into our plane.
int i;
for(i = 0; i <= bezier.deg; i++) {
Vector p0 = bezier.ctrl[i],
p1 = p0.Plus(along);
bezier.ctrl[i] =
Vector::AtIntersectionOfPlaneAndLine(n, d, p0, p1, NULL);
}
AddExactIntersectionCurve(&bezier, b, agnstA, agnstB, into);
}
} else if(isExtdt && isExtdb &&
sqrt(fabs(alongt.Dot(alongb))) >
sqrt(alongt.Magnitude() * alongb.Magnitude()) - LENGTH_EPS)
{
// Two surfaces of extrusion along the same axis. So they might
// intersect along some number of lines parallel to the axis.
Vector axis = alongt.WithMagnitude(1);
List<SInter> inters = {};
List<Vector> lv = {};
double a_axis0 = ( ctrl[0][0]).Dot(axis),
a_axis1 = ( ctrl[0][1]).Dot(axis),
b_axis0 = (b->ctrl[0][0]).Dot(axis),
b_axis1 = (b->ctrl[0][1]).Dot(axis);
if(a_axis0 > a_axis1) swap(a_axis0, a_axis1);
if(b_axis0 > b_axis1) swap(b_axis0, b_axis1);
double ab_axis0 = max(a_axis0, b_axis0),
ab_axis1 = min(a_axis1, b_axis1);
if(fabs(ab_axis0 - ab_axis1) < LENGTH_EPS) {
// The line would be zero-length
return;
}
Vector axis0 = axis.ScaledBy(ab_axis0),
axis1 = axis.ScaledBy(ab_axis1),
axisc = (axis0.Plus(axis1)).ScaledBy(0.5);
oft.MakePwlInto(&lv);
int i;
for(i = 0; i < lv.n - 1; i++) {
Vector pa = lv.elem[i], pb = lv.elem[i+1];
pa = pa.Minus(axis.ScaledBy(pa.Dot(axis)));
pb = pb.Minus(axis.ScaledBy(pb.Dot(axis)));
pa = pa.Plus(axisc);
pb = pb.Plus(axisc);
b->AllPointsIntersecting(pa, pb, &inters,
/*asSegment=*/true,/*trimmed=*/false, /*inclTangent=*/false);
}
SInter *si;
for(si = inters.First(); si; si = inters.NextAfter(si)) {
Vector p = (si->p).Minus(axis.ScaledBy((si->p).Dot(axis)));
double ub, vb;
b->ClosestPointTo(p, &ub, &vb, /*mustConverge=*/true);
SSurface plane;
plane = SSurface::FromPlane(p, axis.Normal(0), axis.Normal(1));
b->PointOnSurfaces(this, &plane, &ub, &vb);
p = b->PointAt(ub, vb);
SBezier bezier;
bezier = SBezier::From(p.Plus(axis0), p.Plus(axis1));
AddExactIntersectionCurve(&bezier, b, agnstA, agnstB, into);
}
inters.Clear();
lv.Clear();
} else {
// Try intersecting the surfaces numerically, by a marching algorithm.
// First, we find all the intersections between a surface and the
// boundary of the other surface.
SPointList spl = {};
int a;
for(a = 0; a < 2; a++) {
SShell *shA = (a == 0) ? agnstA : agnstB;
SSurface *srfA = (a == 0) ? this : b,
*srfB = (a == 0) ? b : this;
SEdgeList el = {};
srfA->MakeEdgesInto(shA, &el, MakeAs::XYZ, NULL);
SEdge *se;
for(se = el.l.First(); se; se = el.l.NextAfter(se)) {
List<SInter> lsi = {};
srfB->AllPointsIntersecting(se->a, se->b, &lsi,
/*asSegment=*/true, /*trimmed=*/true, /*inclTangent=*/false);
if(lsi.n == 0) continue;
// Find the other surface that this curve trims.
hSCurve hsc = { (uint32_t)se->auxA };
SCurve *sc = shA->curve.FindById(hsc);
hSSurface hother = (sc->surfA.v == srfA->h.v) ?
sc->surfB : sc->surfA;
SSurface *other = shA->surface.FindById(hother);
SInter *si;
for(si = lsi.First(); si; si = lsi.NextAfter(si)) {
Vector p = si->p;
double u, v;
srfB->ClosestPointTo(p, &u, &v);
srfB->PointOnSurfaces(srfA, other, &u, &v);
p = srfB->PointAt(u, v);
if(!spl.ContainsPoint(p)) {
SPoint sp;
sp.p = p;
// We also need the edge normal, so that we know in
// which direction to march.
srfA->ClosestPointTo(p, &u, &v);
Vector n = srfA->NormalAt(u, v);
sp.auxv = n.Cross((se->b).Minus(se->a));
sp.auxv = (sp.auxv).WithMagnitude(1);
spl.l.Add(&sp);
}
}
lsi.Clear();
}
el.Clear();
}
while(spl.l.n >= 2) {
SCurve sc = {};
sc.surfA = h;
sc.surfB = b->h;
sc.isExact = false;
sc.source = SCurve::Source::INTERSECTION;
Vector start = spl.l.elem[0].p,
startv = spl.l.elem[0].auxv;
spl.l.ClearTags();
spl.l.elem[0].tag = 1;
spl.l.RemoveTagged();
// Our chord tolerance is whatever the user specified
double maxtol = SS.ChordTolMm();
int maxsteps = max(300, SS.GetMaxSegments()*3);
// The curve starts at our starting point.
SCurvePt padd = {};
padd.vertex = true;
padd.p = start;
sc.pts.Add(&padd);
Point2d pa, pb;
Vector np, npc = Vector::From(0, 0, 0);
bool fwd = false;
// Better to start with a too-small step, so that we don't miss
// features of the curve entirely.
double tol, step = maxtol;
for(a = 0; a < maxsteps; a++) {
ClosestPointTo(start, &pa);
b->ClosestPointTo(start, &pb);
Vector na = NormalAt(pa).WithMagnitude(1),
nb = b->NormalAt(pb).WithMagnitude(1);
if(a == 0) {
Vector dp = nb.Cross(na);
if(dp.Dot(startv) < 0) {
// We want to march in the more inward direction.
fwd = true;
} else {
fwd = false;
}
}
int i;
for(i = 0; i < 20; i++) {
Vector dp = nb.Cross(na);
if(!fwd) dp = dp.ScaledBy(-1);
dp = dp.WithMagnitude(step);
np = start.Plus(dp);
npc = ClosestPointOnThisAndSurface(b, np);
tol = (npc.Minus(np)).Magnitude();
if(tol > maxtol*0.8) {
step *= 0.90;
} else {
step /= 0.90;
}
if((tol < maxtol) && (tol > maxtol/2)) {
// If we meet the chord tolerance test, and we're
// not too fine, then we break out.
break;
}
}
SPoint *sp;
for(sp = spl.l.First(); sp; sp = spl.l.NextAfter(sp)) {
if((sp->p).OnLineSegment(start, npc, 2*SS.ChordTolMm())) {
sp->tag = 1;
a = maxsteps;
npc = sp->p;
}
}
padd.p = npc;
padd.vertex = (a == maxsteps);
sc.pts.Add(&padd);
start = npc;
}
spl.l.RemoveTagged();
// And now we split and insert the curve
SCurve split = sc.MakeCopySplitAgainst(agnstA, agnstB, this, b);
sc.Clear();
into->curve.AddAndAssignId(&split);
}
spl.Clear();
}
}
void SolveSpace::ExportLinesAndMesh(SEdgeList *sel, SBezierList *sbl, SMesh *sm,
Vector u, Vector v, Vector n,
Vector origin, double cameraTan,
VectorFileWriter *out)
{
double s = 1.0 / SS.exportScale;
// Project into the export plane; so when we're done, z doesn't matter,
// and x and y are what goes in the DXF.
SEdge *e;
for(e = sel->l.First(); e; e = sel->l.NextAfter(e)) {
// project into the specified csys, and apply export scale
(e->a) = e->a.InPerspective(u, v, n, origin, cameraTan).ScaledBy(s);
(e->b) = e->b.InPerspective(u, v, n, origin, cameraTan).ScaledBy(s);
}
SBezier *b;
if(sbl) {
for(b = sbl->l.First(); b; b = sbl->l.NextAfter(b)) {
*b = b->InPerspective(u, v, n, origin, cameraTan);
int i;
for(i = 0; i <= b->deg; i++) {
b->ctrl[i] = (b->ctrl[i]).ScaledBy(s);
}
}
}
// If cutter radius compensation is requested, then perform it now
if(fabs(SS.exportOffset) > LENGTH_EPS) {
// assemble those edges into a polygon, and clear the edge list
SPolygon sp;
ZERO(&sp);
sel->AssemblePolygon(&sp, NULL);
sel->Clear();
SPolygon compd;
ZERO(&compd);
sp.normal = Vector::From(0, 0, -1);
sp.FixContourDirections();
sp.OffsetInto(&compd, SS.exportOffset*s);
sp.Clear();
compd.MakeEdgesInto(sel);
compd.Clear();
}
// Now the triangle mesh; project, then build a BSP to perform
// occlusion testing and generated the shaded surfaces.
SMesh smp;
ZERO(&smp);
if(sm) {
Vector l0 = (SS.lightDir[0]).WithMagnitude(1),
l1 = (SS.lightDir[1]).WithMagnitude(1);
STriangle *tr;
for(tr = sm->l.First(); tr; tr = sm->l.NextAfter(tr)) {
STriangle tt = *tr;
tt.a = (tt.a).InPerspective(u, v, n, origin, cameraTan).ScaledBy(s);
tt.b = (tt.b).InPerspective(u, v, n, origin, cameraTan).ScaledBy(s);
tt.c = (tt.c).InPerspective(u, v, n, origin, cameraTan).ScaledBy(s);
// And calculate lighting for the triangle
Vector n = tt.Normal().WithMagnitude(1);
double lighting = SS.ambientIntensity +
max(0, (SS.lightIntensity[0])*(n.Dot(l0))) +
max(0, (SS.lightIntensity[1])*(n.Dot(l1)));
double r = min(1, REDf (tt.meta.color)*lighting),
g = min(1, GREENf(tt.meta.color)*lighting),
b = min(1, BLUEf (tt.meta.color)*lighting);
tt.meta.color = RGBf(r, g, b);
smp.AddTriangle(&tt);
}
}
// Use the BSP routines to generate the split triangles in paint order.
SBsp3 *bsp = SBsp3::FromMesh(&smp);
SMesh sms;
ZERO(&sms);
bsp->GenerateInPaintOrder(&sms);
// And cull the back-facing triangles
STriangle *tr;
sms.l.ClearTags();
for(tr = sms.l.First(); tr; tr = sms.l.NextAfter(tr)) {
Vector n = tr->Normal();
if(n.z < 0) {
tr->tag = 1;
}
}
sms.l.RemoveTagged();
// And now we perform hidden line removal if requested
SEdgeList hlrd;
ZERO(&hlrd);
if(sm && !SS.GW.showHdnLines) {
SKdNode *root = SKdNode::From(&smp);
// Generate the edges where a curved surface turns from front-facing
// to back-facing.
if(SS.GW.showEdges) {
root->MakeCertainEdgesInto(sel, SKdNode::TURNING_EDGES,
false, NULL, NULL);
}
root->ClearTags();
int cnt = 1234;
SEdge *se;
for(se = sel->l.First(); se; se = sel->l.NextAfter(se)) {
if(se->auxA == Style::CONSTRAINT) {
// Constraints should not get hidden line removed; they're
// always on top.
hlrd.AddEdge(se->a, se->b, se->auxA);
continue;
}
SEdgeList out;
ZERO(&out);
// Split the original edge against the mesh
out.AddEdge(se->a, se->b, se->auxA);
root->OcclusionTestLine(*se, &out, cnt);
// the occlusion test splits unnecessarily; so fix those
out.MergeCollinearSegments(se->a, se->b);
cnt++;
// And add the results to our output
SEdge *sen;
for(sen = out.l.First(); sen; sen = out.l.NextAfter(sen)) {
hlrd.AddEdge(sen->a, sen->b, sen->auxA);
}
out.Clear();
}
sel = &hlrd;
}
// We kept the line segments and Beziers separate until now; but put them
// all together, and also project everything into the xy plane, since not
// all export targets ignore the z component of the points.
for(e = sel->l.First(); e; e = sel->l.NextAfter(e)) {
SBezier sb = SBezier::From(e->a, e->b);
sb.auxA = e->auxA;
sbl->l.Add(&sb);
}
for(b = sbl->l.First(); b; b = sbl->l.NextAfter(b)) {
for(int i = 0; i <= b->deg; i++) {
b->ctrl[i].z = 0;
}
}
// If possible, then we will assemble these output curves into loops. They
// will then get exported as closed paths.
SBezierLoopSetSet sblss;
ZERO(&sblss);
SBezierList leftovers;
ZERO(&leftovers);
SSurface srf = SSurface::FromPlane(Vector::From(0, 0, 0),
Vector::From(1, 0, 0),
Vector::From(0, 1, 0));
SPolygon spxyz;
ZERO(&spxyz);
bool allClosed;
SEdge notClosedAt;
sbl->l.ClearTags();
sblss.FindOuterFacesFrom(sbl, &spxyz, &srf,
SS.ChordTolMm()*s,
&allClosed, ¬ClosedAt,
NULL, NULL,
&leftovers);
for(b = leftovers.l.First(); b; b = leftovers.l.NextAfter(b)) {
sblss.AddOpenPath(b);
}
// Now write the lines and triangles to the output file
out->Output(&sblss, &sms);
leftovers.Clear();
spxyz.Clear();
sblss.Clear();
smp.Clear();
sms.Clear();
hlrd.Clear();
}
void SolveSpace::ExportViewOrWireframeTo(char *filename, bool wireframe) {
int i;
SEdgeList edges;
ZERO(&edges);
SBezierList beziers;
ZERO(&beziers);
SMesh *sm = NULL;
if(SS.GW.showShaded) {
Group *g = SK.GetGroup(SS.GW.activeGroup);
g->GenerateDisplayItems();
sm = &(g->displayMesh);
}
if(sm && sm->IsEmpty()) {
sm = NULL;
}
for(i = 0; i < SK.entity.n; i++) {
Entity *e = &(SK.entity.elem[i]);
if(!e->IsVisible()) continue;
if(e->construction) continue;
if(SS.exportPwlCurves || (sm && !SS.GW.showHdnLines) ||
fabs(SS.exportOffset) > LENGTH_EPS)
{
// We will be doing hidden line removal, which we can't do on
// exact curves; so we need things broken down to pwls. Same
// problem with cutter radius compensation.
e->GenerateEdges(&edges);
} else {
e->GenerateBezierCurves(&beziers);
}
}
if(SS.GW.showEdges) {
Group *g = SK.GetGroup(SS.GW.activeGroup);
g->GenerateDisplayItems();
SEdgeList *selr = &(g->displayEdges);
SEdge *se;
for(se = selr->l.First(); se; se = selr->l.NextAfter(se)) {
edges.AddEdge(se->a, se->b, Style::SOLID_EDGE);
}
}
if(SS.GW.showConstraints) {
Constraint *c;
for(c = SK.constraint.First(); c; c = SK.constraint.NextAfter(c)) {
c->GetEdges(&edges);
}
}
if(wireframe) {
VectorFileWriter *out = VectorFileWriter::ForFile(filename);
if(out) {
ExportWireframeCurves(&edges, &beziers, out);
}
} else {
Vector u = SS.GW.projRight,
v = SS.GW.projUp,
n = u.Cross(v),
origin = SS.GW.offset.ScaledBy(-1);
VectorFileWriter *out = VectorFileWriter::ForFile(filename);
if(out) {
ExportLinesAndMesh(&edges, &beziers, sm,
u, v, n, origin, SS.CameraTangent()*SS.GW.scale,
out);
}
if(out && !out->HasCanvasSize()) {
// These file formats don't have a canvas size, so they just
// get exported in the raw coordinate system. So indicate what
// that was on-screen.
SS.justExportedInfo.draw = true;
SS.justExportedInfo.pt = origin;
SS.justExportedInfo.u = u;
SS.justExportedInfo.v = v;
InvalidateGraphics();
}
}
edges.Clear();
beziers.Clear();
}
void SolveSpace::ExportSectionTo(char *filename) {
Vector gn = (SS.GW.projRight).Cross(SS.GW.projUp);
gn = gn.WithMagnitude(1);
Group *g = SK.GetGroup(SS.GW.activeGroup);
g->GenerateDisplayItems();
if(g->displayMesh.IsEmpty()) {
Error("No solid model present; draw one with extrudes and revolves, "
"or use Export 2d View to export bare lines and curves.");
return;
}
// The plane in which the exported section lies; need this because we'll
// reorient from that plane into the xy plane before exporting.
Vector origin, u, v, n;
double d;
SS.GW.GroupSelection();
#define gs (SS.GW.gs)
if((gs.n == 0 && g->activeWorkplane.v != Entity::FREE_IN_3D.v)) {
Entity *wrkpl = SK.GetEntity(g->activeWorkplane);
origin = wrkpl->WorkplaneGetOffset();
n = wrkpl->Normal()->NormalN();
u = wrkpl->Normal()->NormalU();
v = wrkpl->Normal()->NormalV();
} else if(gs.n == 1 && gs.faces == 1) {
Entity *face = SK.GetEntity(gs.entity[0]);
origin = face->FaceGetPointNum();
n = face->FaceGetNormalNum();
if(n.Dot(gn) < 0) n = n.ScaledBy(-1);
u = n.Normal(0);
v = n.Normal(1);
} else if(gs.n == 3 && gs.vectors == 2 && gs.points == 1) {
Vector ut = SK.GetEntity(gs.entity[0])->VectorGetNum(),
vt = SK.GetEntity(gs.entity[1])->VectorGetNum();
ut = ut.WithMagnitude(1);
vt = vt.WithMagnitude(1);
if(fabs(SS.GW.projUp.Dot(vt)) < fabs(SS.GW.projUp.Dot(ut))) {
SWAP(Vector, ut, vt);
}
if(SS.GW.projRight.Dot(ut) < 0) ut = ut.ScaledBy(-1);
if(SS.GW.projUp. Dot(vt) < 0) vt = vt.ScaledBy(-1);
origin = SK.GetEntity(gs.point[0])->PointGetNum();
n = ut.Cross(vt);
u = ut.WithMagnitude(1);
v = (n.Cross(u)).WithMagnitude(1);
} else {
Error("Bad selection for export section. Please select:\n\n"
" * nothing, with an active workplane "
"(workplane is section plane)\n"
" * a face (section plane through face)\n"
" * a point and two line segments "
"(plane through point and parallel to lines)\n");
return;
}
SS.GW.ClearSelection();
n = n.WithMagnitude(1);
d = origin.Dot(n);
SEdgeList el;
ZERO(&el);
SBezierList bl;
ZERO(&bl);
// If there's a mesh, then grab the edges from it.
g->runningMesh.MakeEdgesInPlaneInto(&el, n, d);
// If there's a shell, then grab the edges and possibly Beziers.
g->runningShell.MakeSectionEdgesInto(n, d,
&el,
(SS.exportPwlCurves || fabs(SS.exportOffset) > LENGTH_EPS) ? NULL : &bl);
// All of these are solid model edges, so use the appropriate style.
SEdge *se;
for(se = el.l.First(); se; se = el.l.NextAfter(se)) {
se->auxA = Style::SOLID_EDGE;
}
SBezier *sb;
for(sb = bl.l.First(); sb; sb = bl.l.NextAfter(sb)) {
sb->auxA = Style::SOLID_EDGE;
}
el.CullExtraneousEdges();
bl.CullIdenticalBeziers();
// And write the edges.
VectorFileWriter *out = VectorFileWriter::ForFile(filename);
if(out) {
// parallel projection (no perspective), and no mesh
ExportLinesAndMesh(&el, &bl, NULL,
u, v, n, origin, 0,
out);
}
el.Clear();
bl.Clear();
}
void Entity::DrawOrGetDistance(void) {
if(!IsVisible()) return;
Group *g = SK.GetGroup(group);
switch(type) {
case POINT_N_COPY:
case POINT_N_TRANS:
case POINT_N_ROT_TRANS:
case POINT_N_ROT_AA:
case POINT_IN_3D:
case POINT_IN_2D: {
Vector v = PointGetNum();
dogd.refp = v;
if(dogd.drawing) {
double s = 3.5;
Vector r = SS.GW.projRight.ScaledBy(s/SS.GW.scale);
Vector d = SS.GW.projUp.ScaledBy(s/SS.GW.scale);
ssglColorRGB(Style::Color(Style::DATUM));
ssglDepthRangeOffset(6);
glBegin(GL_QUADS);
ssglVertex3v(v.Plus (r).Plus (d));
ssglVertex3v(v.Plus (r).Minus(d));
ssglVertex3v(v.Minus(r).Minus(d));
ssglVertex3v(v.Minus(r).Plus (d));
glEnd();
ssglDepthRangeOffset(0);
} else {
Point2d pp = SS.GW.ProjectPoint(v);
dogd.dmin = pp.DistanceTo(dogd.mp) - 6;
}
break;
}
case NORMAL_N_COPY:
case NORMAL_N_ROT:
case NORMAL_N_ROT_AA:
case NORMAL_IN_3D:
case NORMAL_IN_2D: {
int i;
for(i = 0; i < 2; i++) {
if(i == 0 && !SS.GW.showNormals) {
// When the normals are hidden, we will continue to show
// the coordinate axes at the bottom left corner, but
// not at the origin.
continue;
}
hRequest hr = h.request();
// Always draw the x, y, and z axes in red, green, and blue;
// brighter for the ones at the bottom left of the screen,
// dimmer for the ones at the model origin.
int f = (i == 0 ? 100 : 255);
if(hr.v == Request::HREQUEST_REFERENCE_XY.v) {
ssglColorRGB(RGBi(0, 0, f));
} else if(hr.v == Request::HREQUEST_REFERENCE_YZ.v) {
ssglColorRGB(RGBi(f, 0, 0));
} else if(hr.v == Request::HREQUEST_REFERENCE_ZX.v) {
ssglColorRGB(RGBi(0, f, 0));
} else {
ssglColorRGB(Style::Color(Style::NORMALS));
if(i > 0) break;
}
Quaternion q = NormalGetNum();
Vector tail;
if(i == 0) {
tail = SK.GetEntity(point[0])->PointGetNum();
glLineWidth(1);
} else {
// Draw an extra copy of the x, y, and z axes, that's
// always in the corner of the view and at the front.
// So those are always available, perhaps useful.
double s = SS.GW.scale;
double h = 60 - SS.GW.height/2;
double w = 60 - SS.GW.width/2;
tail = SS.GW.projRight.ScaledBy(w/s).Plus(
SS.GW.projUp. ScaledBy(h/s)).Minus(SS.GW.offset);
ssglDepthRangeLockToFront(true);
glLineWidth(2);
}
Vector v = (q.RotationN()).WithMagnitude(50/SS.GW.scale);
Vector tip = tail.Plus(v);
LineDrawOrGetDistance(tail, tip);
v = v.WithMagnitude(12/SS.GW.scale);
Vector axis = q.RotationV();
LineDrawOrGetDistance(tip,tip.Minus(v.RotatedAbout(axis, 0.6)));
LineDrawOrGetDistance(tip,tip.Minus(v.RotatedAbout(axis,-0.6)));
}
ssglDepthRangeLockToFront(false);
break;
}
case DISTANCE:
case DISTANCE_N_COPY:
// These are used only as data structures, nothing to display.
break;
case WORKPLANE: {
Vector p;
p = SK.GetEntity(point[0])->PointGetNum();
Vector u = Normal()->NormalU();
Vector v = Normal()->NormalV();
double s = (min(SS.GW.width, SS.GW.height))*0.45/SS.GW.scale;
Vector us = u.ScaledBy(s);
Vector vs = v.ScaledBy(s);
Vector pp = p.Plus (us).Plus (vs);
Vector pm = p.Plus (us).Minus(vs);
Vector mm = p.Minus(us).Minus(vs), mm2 = mm;
Vector mp = p.Minus(us).Plus (vs);
glLineWidth(1);
ssglColorRGB(Style::Color(Style::NORMALS));
glEnable(GL_LINE_STIPPLE);
glLineStipple(3, 0x1111);
if(!h.isFromRequest()) {
mm = mm.Plus(v.ScaledBy(60/SS.GW.scale));
mm2 = mm2.Plus(u.ScaledBy(60/SS.GW.scale));
LineDrawOrGetDistance(mm2, mm);
}
LineDrawOrGetDistance(pp, pm);
LineDrawOrGetDistance(pm, mm2);
LineDrawOrGetDistance(mm, mp);
LineDrawOrGetDistance(mp, pp);
glDisable(GL_LINE_STIPPLE);
char *str = DescriptionString()+5;
double th = DEFAULT_TEXT_HEIGHT;
if(dogd.drawing) {
ssglWriteText(str, th, mm2, u, v, NULL, NULL);
} else {
Vector pos = mm2.Plus(u.ScaledBy(ssglStrWidth(str, th)/2)).Plus(
v.ScaledBy(ssglStrHeight(th)/2));
Point2d pp = SS.GW.ProjectPoint(pos);
dogd.dmin = min(dogd.dmin, pp.DistanceTo(dogd.mp) - 10);
// If a line lies in a plane, then select the line, not
// the plane.
dogd.dmin += 3;
}
break;
}
case LINE_SEGMENT:
case CIRCLE:
case ARC_OF_CIRCLE:
case CUBIC:
case CUBIC_PERIODIC:
case TTF_TEXT:
// Nothing but the curve(s).
break;
case FACE_NORMAL_PT:
case FACE_XPROD:
case FACE_N_ROT_TRANS:
case FACE_N_TRANS:
case FACE_N_ROT_AA:
// Do nothing; these are drawn with the triangle mesh
break;
default:
oops();
}
// And draw the curves; generate the rational polynomial curves for
// everything, then piecewise linearize them, and display those.
SEdgeList sel;
ZERO(&sel);
GenerateEdges(&sel, true);
int i;
for(i = 0; i < sel.l.n; i++) {
SEdge *se = &(sel.l.elem[i]);
LineDrawOrGetDistance(se->a, se->b, true);
}
sel.Clear();
}