void SBezier::ClosestPointTo(Vector p, double *t, bool converge) {
int i;
double minDist = VERY_POSITIVE;
*t = 0;
double res = (deg <= 2) ? 7.0 : 20.0;
for(i = 0; i < (int)res; i++) {
double tryt = (i/res);
Vector tryp = PointAt(tryt);
double d = (tryp.Minus(p)).Magnitude();
if(d < minDist) {
*t = tryt;
minDist = d;
}
}
Vector p0;
for(i = 0; i < (converge ? 15 : 5); i++) {
p0 = PointAt(*t);
if(p0.Equals(p, RATPOLY_EPS)) {
return;
}
Vector dp = TangentAt(*t);
Vector pc = p.ClosestPointOnLine(p0, dp);
*t += (pc.Minus(p0)).DivPivoting(dp);
}
if(converge) {
dbp("didn't converge (closest point on bezier curve)");
}
}
SSurface SSurface::FromRevolutionOf(SBezier *sb, Vector pt, Vector axis,
double thetas, double thetaf)
{
SSurface ret = {};
ret.degm = sb->deg;
ret.degn = 2;
double dtheta = fabs(WRAP_SYMMETRIC(thetaf - thetas, 2*PI));
// We now wish to revolve the curve about the z axis
int i;
for(i = 0; i <= ret.degm; i++) {
Vector p = sb->ctrl[i];
Vector ps = p.RotatedAbout(pt, axis, thetas),
pf = p.RotatedAbout(pt, axis, thetaf);
Vector ct;
if(ps.Equals(pf)) {
// Degenerate case: a control point lies on the axis of revolution,
// so we get three coincident control points.
ct = ps;
} else {
// Normal case, the control point sweeps out a circle.
Vector c = ps.ClosestPointOnLine(pt, axis);
Vector rs = ps.Minus(c),
rf = pf.Minus(c);
Vector ts = axis.Cross(rs),
tf = axis.Cross(rf);
ct = Vector::AtIntersectionOfLines(ps, ps.Plus(ts),
pf, pf.Plus(tf),
NULL, NULL, NULL);
}
ret.ctrl[i][0] = ps;
ret.ctrl[i][1] = ct;
ret.ctrl[i][2] = pf;
ret.weight[i][0] = sb->weight[i];
ret.weight[i][1] = sb->weight[i]*cos(dtheta/2);
ret.weight[i][2] = sb->weight[i];
}
return ret;
}
Vector SSurface::ClosestPointOnThisAndSurface(SSurface *srf2, Vector p) {
// This is untested.
int i, j;
Point2d puv[2];
SSurface *srf[2] = { this, srf2 };
for(j = 0; j < 2; j++) {
(srf[j])->ClosestPointTo(p, &(puv[j]), false);
}
for(i = 0; i < 10; i++) {
Vector tu[2], tv[2], cp[2], n[2];
double d[2];
for(j = 0; j < 2; j++) {
(srf[j])->TangentsAt(puv[j].x, puv[j].y, &(tu[j]), &(tv[j]));
cp[j] = (srf[j])->PointAt(puv[j]);
n[j] = ((tu[j]).Cross(tv[j])).WithMagnitude(1);
d[j] = (n[j]).Dot(cp[j]);
}
if((cp[0]).Equals(cp[1], RATPOLY_EPS)) break;
Vector p0 = Vector::AtIntersectionOfPlanes(n[0], d[0], n[1], d[1]),
dp = (n[0]).Cross(n[1]);
Vector pc = p.ClosestPointOnLine(p0, dp);
// Adjust our guess and iterate
for(j = 0; j < 2; j++) {
Vector dc = pc.Minus(cp[j]);
double du = dc.Dot(tu[j]), dv = dc.Dot(tv[j]);
puv[j].x += du / ((tu[j]).MagSquared());
puv[j].y += dv / ((tv[j]).MagSquared());
}
}
if(i >= 10) {
dbp("this and srf, didn't converge, d=%g",
(puv[0].Minus(puv[1])).Magnitude());
}
// If this converged, then the two points are actually equal.
return ((srf[0])->PointAt(puv[0])).Plus(
((srf[1])->PointAt(puv[1]))).ScaledBy(0.5);
}
void SShell::MakeFromRevolutionOf(SBezierLoopSet *sbls, Vector pt, Vector axis, RgbaColor color, Group *group)
{
SBezierLoop *sbl;
int i0 = surface.n, i;
// Normalize the axis direction so that the direction of revolution
// ends up parallel to the normal of the sketch, on the side of the
// axis where the sketch is.
Vector pto;
double md = VERY_NEGATIVE;
for(sbl = sbls->l.First(); sbl; sbl = sbls->l.NextAfter(sbl)) {
SBezier *sb;
for(sb = sbl->l.First(); sb; sb = sbl->l.NextAfter(sb)) {
// Choose the point farthest from the axis; we'll get garbage
// if we choose a point that lies on the axis, for example.
// (And our surface will be self-intersecting if the sketch
// spans the axis, so don't worry about that.)
Vector p = sb->Start();
double d = p.DistanceToLine(pt, axis);
if(d > md) {
md = d;
pto = p;
}
}
}
Vector ptc = pto.ClosestPointOnLine(pt, axis),
up = (pto.Minus(ptc)).WithMagnitude(1),
vp = (sbls->normal).Cross(up);
if(vp.Dot(axis) < 0) {
axis = axis.ScaledBy(-1);
}
// Now we actually build and trim the surfaces.
for(sbl = sbls->l.First(); sbl; sbl = sbls->l.NextAfter(sbl)) {
int i, j;
SBezier *sb, *prev;
List<Revolved> hsl = {};
for(sb = sbl->l.First(); sb; sb = sbl->l.NextAfter(sb)) {
Revolved revs;
for(j = 0; j < 4; j++) {
if(sb->deg == 1 &&
(sb->ctrl[0]).DistanceToLine(pt, axis) < LENGTH_EPS &&
(sb->ctrl[1]).DistanceToLine(pt, axis) < LENGTH_EPS)
{
// This is a line on the axis of revolution; it does
// not contribute a surface.
revs.d[j].v = 0;
} else {
SSurface ss = SSurface::FromRevolutionOf(sb, pt, axis,
(PI/2)*j,
(PI/2)*(j+1));
ss.color = color;
if(sb->entity != 0) {
hEntity he;
he.v = sb->entity;
hEntity hface = group->Remap(he, Group::REMAP_LINE_TO_FACE);
if(SK.entity.FindByIdNoOops(hface) != NULL) {
ss.face = hface.v;
}
}
revs.d[j] = surface.AddAndAssignId(&ss);
}
}
hsl.Add(&revs);
}
for(i = 0; i < sbl->l.n; i++) {
Revolved revs = hsl.elem[i],
revsp = hsl.elem[WRAP(i-1, sbl->l.n)];
sb = &(sbl->l.elem[i]);
prev = &(sbl->l.elem[WRAP(i-1, sbl->l.n)]);
for(j = 0; j < 4; j++) {
SCurve sc;
Quaternion qs = Quaternion::From(axis, (PI/2)*j);
// we want Q*(x - p) + p = Q*x + (p - Q*p)
Vector ts = pt.Minus(qs.Rotate(pt));
// If this input curve generate a surface, then trim that
// surface with the rotated version of the input curve.
if(revs.d[j].v) {
sc = {};
sc.isExact = true;
sc.exact = sb->TransformedBy(ts, qs, 1.0);
(sc.exact).MakePwlInto(&(sc.pts));
sc.surfA = revs.d[j];
sc.surfB = revs.d[WRAP(j-1, 4)];
hSCurve hcb = curve.AddAndAssignId(&sc);
STrimBy stb;
stb = STrimBy::EntireCurve(this, hcb, true);
(surface.FindById(sc.surfA))->trim.Add(&stb);
stb = STrimBy::EntireCurve(this, hcb, false);
(surface.FindById(sc.surfB))->trim.Add(&stb);
}
// And if this input curve and the one after it both generated
// surfaces, then trim both of those by the appropriate
// circle.
if(revs.d[j].v && revsp.d[j].v) {
SSurface *ss = surface.FindById(revs.d[j]);
sc = {};
sc.isExact = true;
sc.exact = SBezier::From(ss->ctrl[0][0],
ss->ctrl[0][1],
ss->ctrl[0][2]);
sc.exact.weight[1] = ss->weight[0][1];
(sc.exact).MakePwlInto(&(sc.pts));
sc.surfA = revs.d[j];
sc.surfB = revsp.d[j];
hSCurve hcc = curve.AddAndAssignId(&sc);
STrimBy stb;
stb = STrimBy::EntireCurve(this, hcc, false);
(surface.FindById(sc.surfA))->trim.Add(&stb);
stb = STrimBy::EntireCurve(this, hcc, true);
(surface.FindById(sc.surfB))->trim.Add(&stb);
}
}
}
hsl.Clear();
}
for(i = i0; i < surface.n; i++) {
SSurface *srf = &(surface.elem[i]);
// Revolution of a line; this is potentially a plane, which we can
// rewrite to have degree (1, 1).
if(srf->degm == 1 && srf->degn == 2) {
// close start, far start, far finish
Vector cs, fs, ff;
double d0, d1;
d0 = (srf->ctrl[0][0]).DistanceToLine(pt, axis);
d1 = (srf->ctrl[1][0]).DistanceToLine(pt, axis);
if(d0 > d1) {
cs = srf->ctrl[1][0];
fs = srf->ctrl[0][0];
ff = srf->ctrl[0][2];
} else {
cs = srf->ctrl[0][0];
fs = srf->ctrl[1][0];
ff = srf->ctrl[1][2];
}
// origin close, origin far
Vector oc = cs.ClosestPointOnLine(pt, axis),
of = fs.ClosestPointOnLine(pt, axis);
if(oc.Equals(of)) {
// This is a plane, not a (non-degenerate) cone.
Vector oldn = srf->NormalAt(0.5, 0.5);
Vector u = fs.Minus(of), v;
v = (axis.Cross(u)).WithMagnitude(1);
double vm = (ff.Minus(of)).Dot(v);
v = v.ScaledBy(vm);
srf->degm = 1;
srf->degn = 1;
srf->ctrl[0][0] = of;
srf->ctrl[0][1] = of.Plus(u);
srf->ctrl[1][0] = of.Plus(v);
srf->ctrl[1][1] = of.Plus(u).Plus(v);
srf->weight[0][0] = 1;
srf->weight[0][1] = 1;
srf->weight[1][0] = 1;
srf->weight[1][1] = 1;
if(oldn.Dot(srf->NormalAt(0.5, 0.5)) < 0) {
swap(srf->ctrl[0][0], srf->ctrl[1][0]);
swap(srf->ctrl[0][1], srf->ctrl[1][1]);
}
continue;
}
if(fabs(d0 - d1) < LENGTH_EPS) {
// This is a cylinder; so transpose it so that we'll recognize
// it as a surface of extrusion.
SSurface sn = *srf;
// Transposing u and v flips the normal, so reverse u to
// flip it again and put it back where we started.
sn.degm = 2;
sn.degn = 1;
int dm, dn;
for(dm = 0; dm <= 1; dm++) {
for(dn = 0; dn <= 2; dn++) {
sn.ctrl [dn][dm] = srf->ctrl [1-dm][dn];
sn.weight[dn][dm] = srf->weight[1-dm][dn];
}
}
*srf = sn;
continue;
}
}
}
}
void Constraint::DrawOrGetDistance(Vector *labelPos) {
if(!SS.GW.showConstraints) return;
Group *g = SK.GetGroup(group);
// If the group is hidden, then the constraints are hidden and not
// able to be selected.
if(!(g->visible)) return;
// And likewise if the group is not the active group; except for comments
// with an assigned style.
if(g->h.v != SS.GW.activeGroup.v && !(type == COMMENT && disp.style.v)) {
return;
}
if(disp.style.v) {
Style *s = Style::Get(disp.style);
if(!s->visible) return;
}
// Unit vectors that describe our current view of the scene. One pixel
// long, not one actual unit.
Vector gr = SS.GW.projRight.ScaledBy(1/SS.GW.scale);
Vector gu = SS.GW.projUp.ScaledBy(1/SS.GW.scale);
Vector gn = (gr.Cross(gu)).WithMagnitude(1/SS.GW.scale);
switch(type) {
case PT_PT_DISTANCE: {
Vector ap = SK.GetEntity(ptA)->PointGetNum();
Vector bp = SK.GetEntity(ptB)->PointGetNum();
if(workplane.v != Entity::FREE_IN_3D.v) {
DoProjectedPoint(&ap);
DoProjectedPoint(&bp);
}
Vector ref = ((ap.Plus(bp)).ScaledBy(0.5)).Plus(disp.offset);
DoLineWithArrows(ref, ap, bp, false);
DoLabel(ref, labelPos, gr, gu);
break;
}
case PROJ_PT_DISTANCE: {
Vector ap = SK.GetEntity(ptA)->PointGetNum(),
bp = SK.GetEntity(ptB)->PointGetNum(),
dp = (bp.Minus(ap)),
pp = SK.GetEntity(entityA)->VectorGetNum();
Vector ref = ((ap.Plus(bp)).ScaledBy(0.5)).Plus(disp.offset);
pp = pp.WithMagnitude(1);
double d = dp.Dot(pp);
Vector bpp = ap.Plus(pp.ScaledBy(d));
StippledLine(ap, bpp);
StippledLine(bp, bpp);
DoLineWithArrows(ref, ap, bpp, false);
DoLabel(ref, labelPos, gr, gu);
break;
}
case PT_FACE_DISTANCE:
case PT_PLANE_DISTANCE: {
Vector pt = SK.GetEntity(ptA)->PointGetNum();
Entity *enta = SK.GetEntity(entityA);
Vector n, p;
if(type == PT_PLANE_DISTANCE) {
n = enta->Normal()->NormalN();
p = enta->WorkplaneGetOffset();
} else {
n = enta->FaceGetNormalNum();
p = enta->FaceGetPointNum();
}
double d = (p.Minus(pt)).Dot(n);
Vector closest = pt.Plus(n.WithMagnitude(d));
Vector ref = ((closest.Plus(pt)).ScaledBy(0.5)).Plus(disp.offset);
if(!pt.Equals(closest)) {
DoLineWithArrows(ref, pt, closest, true);
}
DoLabel(ref, labelPos, gr, gu);
break;
}
case PT_LINE_DISTANCE: {
Vector pt = SK.GetEntity(ptA)->PointGetNum();
Entity *line = SK.GetEntity(entityA);
Vector lA = SK.GetEntity(line->point[0])->PointGetNum();
Vector lB = SK.GetEntity(line->point[1])->PointGetNum();
Vector dl = lB.Minus(lA);
if(workplane.v != Entity::FREE_IN_3D.v) {
lA = lA.ProjectInto(workplane);
lB = lB.ProjectInto(workplane);
DoProjectedPoint(&pt);
}
// Find the closest point on the line
Vector closest = pt.ClosestPointOnLine(lA, dl);
Vector ref = ((closest.Plus(pt)).ScaledBy(0.5)).Plus(disp.offset);
DoLabel(ref, labelPos, gr, gu);
if(!pt.Equals(closest)) {
DoLineWithArrows(ref, pt, closest, true);
}
if(workplane.v != Entity::FREE_IN_3D.v) {
// Draw the projection marker from the closest point on the
// projected line to the projected point on the real line.
Vector lAB = (lA.Minus(lB));
double t = (lA.Minus(closest)).DivPivoting(lAB);
Vector lA = SK.GetEntity(line->point[0])->PointGetNum();
Vector lB = SK.GetEntity(line->point[1])->PointGetNum();
Vector c2 = (lA.ScaledBy(1-t)).Plus(lB.ScaledBy(t));
DoProjectedPoint(&c2);
}
break;
}
case DIAMETER: {
Entity *circle = SK.GetEntity(entityA);
Vector center = SK.GetEntity(circle->point[0])->PointGetNum();
Quaternion q = SK.GetEntity(circle->normal)->NormalGetNum();
Vector n = q.RotationN().WithMagnitude(1);
double r = circle->CircleGetRadiusNum();
Vector ref = center.Plus(disp.offset);
// Force the label into the same plane as the circle.
ref = ref.Minus(n.ScaledBy(n.Dot(ref) - n.Dot(center)));
Vector mark = ref.Minus(center);
mark = mark.WithMagnitude(mark.Magnitude()-r);
DoLineTrimmedAgainstBox(ref, ref, ref.Minus(mark));
Vector topLeft;
DoLabel(ref, &topLeft, gr, gu);
if(labelPos) *labelPos = topLeft;
// Show this as diameter or radius?
if(!other) {
// Draw the diameter symbol
Vector dc = topLeft;
dc = dc.Plus(gu.WithMagnitude(5/SS.GW.scale));
dc = dc.Plus(gr.WithMagnitude(9/SS.GW.scale));
double dr = 5/SS.GW.scale;
double theta, dtheta = (2*PI)/12;
for(theta = 0; theta < 2*PI-0.01; theta += dtheta) {
LineDrawOrGetDistance(
dc.Plus(gu.WithMagnitude(cos(theta)*dr)).Plus(
gr.WithMagnitude(sin(theta)*dr)),
dc.Plus(gu.WithMagnitude(cos(theta+dtheta)*dr)).Plus(
gr.WithMagnitude(sin(theta+dtheta)*dr)));
}
theta = 25*(PI/180);
dr *= 1.7;
dtheta = PI;
LineDrawOrGetDistance(
dc.Plus(gu.WithMagnitude(cos(theta)*dr)).Plus(
gr.WithMagnitude(sin(theta)*dr)),
dc.Plus(gu.WithMagnitude(cos(theta+dtheta)*dr)).Plus(
gr.WithMagnitude(sin(theta+dtheta)*dr)));
}
break;
}
case POINTS_COINCIDENT: {
if(!dogd.drawing) {
for(int i = 0; i < 2; i++) {
Vector p = SK.GetEntity(i == 0 ? ptA : ptB)-> PointGetNum();
Point2d pp = SS.GW.ProjectPoint(p);
// The point is selected within a radius of 7, from the
// same center; so if the point is visible, then this
// constraint cannot be selected. But that's okay.
dogd.dmin = min(dogd.dmin, pp.DistanceTo(dogd.mp) - 3);
dogd.refp = p;
}
break;
}
if(dogd.drawing) {
// Let's adjust the color of this constraint to have the same
// rough luma as the point color, so that the constraint does not
// stand out in an ugly way.
RgbaColor cd = Style::Color(Style::DATUM),
cc = Style::Color(Style::CONSTRAINT);
// convert from 8-bit color to a vector
Vector vd = Vector::From(cd.redF(), cd.greenF(), cd.blueF()),
vc = Vector::From(cc.redF(), cc.greenF(), cc.blueF());
// and scale the constraint color to have the same magnitude as
// the datum color, maybe a bit dimmer
vc = vc.WithMagnitude(vd.Magnitude()*0.9);
// and set the color to that.
ssglColorRGB(RGBf(vc.x, vc.y, vc.z));
for(int a = 0; a < 2; a++) {
Vector r = SS.GW.projRight.ScaledBy((a+1)/SS.GW.scale);
Vector d = SS.GW.projUp.ScaledBy((2-a)/SS.GW.scale);
for(int i = 0; i < 2; i++) {
Vector p = SK.GetEntity(i == 0 ? ptA : ptB)-> PointGetNum();
glBegin(GL_QUADS);
ssglVertex3v(p.Plus (r).Plus (d));
ssglVertex3v(p.Plus (r).Minus(d));
ssglVertex3v(p.Minus(r).Minus(d));
ssglVertex3v(p.Minus(r).Plus (d));
glEnd();
}
}
}
break;
}
case PT_ON_CIRCLE:
case PT_ON_LINE:
case PT_ON_FACE:
case PT_IN_PLANE: {
double s = 8/SS.GW.scale;
Vector p = SK.GetEntity(ptA)->PointGetNum();
Vector r, d;
if(type == PT_ON_FACE) {
Vector n = SK.GetEntity(entityA)->FaceGetNormalNum();
r = n.Normal(0);
d = n.Normal(1);
} else if(type == PT_IN_PLANE) {
EntityBase *n = SK.GetEntity(entityA)->Normal();
r = n->NormalU();
d = n->NormalV();
} else {
r = gr;
d = gu;
s *= (6.0/8); // draw these a little smaller
}
r = r.WithMagnitude(s); d = d.WithMagnitude(s);
LineDrawOrGetDistance(p.Plus (r).Plus (d), p.Plus (r).Minus(d));
LineDrawOrGetDistance(p.Plus (r).Minus(d), p.Minus(r).Minus(d));
LineDrawOrGetDistance(p.Minus(r).Minus(d), p.Minus(r).Plus (d));
LineDrawOrGetDistance(p.Minus(r).Plus (d), p.Plus (r).Plus (d));
break;
}
case WHERE_DRAGGED: {
Vector p = SK.GetEntity(ptA)->PointGetNum(),
u = p.Plus(gu.WithMagnitude(8/SS.GW.scale)).Plus(
gr.WithMagnitude(8/SS.GW.scale)),
uu = u.Minus(gu.WithMagnitude(5/SS.GW.scale)),
ur = u.Minus(gr.WithMagnitude(5/SS.GW.scale));
// Draw four little crop marks, uniformly spaced (by ninety
// degree rotations) around the point.
int i;
for(i = 0; i < 4; i++) {
LineDrawOrGetDistance(u, uu);
LineDrawOrGetDistance(u, ur);
u = u.RotatedAbout(p, gn, PI/2);
ur = ur.RotatedAbout(p, gn, PI/2);
uu = uu.RotatedAbout(p, gn, PI/2);
}
break;
}
case SAME_ORIENTATION: {
for(int i = 0; i < 2; i++) {
Entity *e = SK.GetEntity(i == 0 ? entityA : entityB);
Quaternion q = e->NormalGetNum();
Vector n = q.RotationN().WithMagnitude(25/SS.GW.scale);
Vector u = q.RotationU().WithMagnitude(6/SS.GW.scale);
Vector p = SK.GetEntity(e->point[0])->PointGetNum();
p = p.Plus(n.WithMagnitude(10/SS.GW.scale));
LineDrawOrGetDistance(p.Plus(u), p.Minus(u).Plus(n));
LineDrawOrGetDistance(p.Minus(u), p.Plus(u).Plus(n));
}
break;
}
case EQUAL_ANGLE: {
Vector ref;
Entity *a = SK.GetEntity(entityA);
Entity *b = SK.GetEntity(entityB);
Entity *c = SK.GetEntity(entityC);
Entity *d = SK.GetEntity(entityD);
Vector a0 = a->VectorGetRefPoint();
Vector b0 = b->VectorGetRefPoint();
Vector c0 = c->VectorGetRefPoint();
Vector d0 = d->VectorGetRefPoint();
Vector da = a->VectorGetNum();
Vector db = b->VectorGetNum();
Vector dc = c->VectorGetNum();
Vector dd = d->VectorGetNum();
if(other) da = da.ScaledBy(-1);
DoArcForAngle(a0, da, b0, db,
da.WithMagnitude(40/SS.GW.scale), &ref);
DoArcForAngle(c0, dc, d0, dd,
dc.WithMagnitude(40/SS.GW.scale), &ref);
break;
}
case ANGLE: {
Entity *a = SK.GetEntity(entityA);
Entity *b = SK.GetEntity(entityB);
Vector a0 = a->VectorGetRefPoint();
Vector b0 = b->VectorGetRefPoint();
Vector da = a->VectorGetNum();
Vector db = b->VectorGetNum();
if(other) da = da.ScaledBy(-1);
Vector ref;
DoArcForAngle(a0, da, b0, db, disp.offset, &ref);
DoLabel(ref, labelPos, gr, gu);
break;
}
case PERPENDICULAR: {
Vector u = Vector::From(0, 0, 0), v = Vector::From(0, 0, 0);
Vector rn, ru;
if(workplane.v == Entity::FREE_IN_3D.v) {
rn = gn;
ru = gu;
} else {
EntityBase *normal = SK.GetEntity(workplane)->Normal();
rn = normal->NormalN();
ru = normal->NormalV(); // ru meaning r_up, not u/v
}
for(int i = 0; i < 2; i++) {
Entity *e = SK.GetEntity(i == 0 ? entityA : entityB);
if(i == 0) {
// Calculate orientation of perpendicular sign only
// once, so that it's the same both times it's drawn
u = e->VectorGetNum();
u = u.WithMagnitude(16/SS.GW.scale);
v = (rn.Cross(u)).WithMagnitude(16/SS.GW.scale);
// a bit of bias to stop it from flickering between the
// two possibilities
if(fabs(u.Dot(ru)) < fabs(v.Dot(ru)) + LENGTH_EPS) {
SWAP(Vector, u, v);
}
if(u.Dot(ru) < 0) u = u.ScaledBy(-1);
}
Vector p = e->VectorGetRefPoint();
Vector s = p.Plus(u).Plus(v);
LineDrawOrGetDistance(s, s.Plus(v));
Vector m = s.Plus(v.ScaledBy(0.5));
LineDrawOrGetDistance(m, m.Plus(u));
}
break;
}
case CURVE_CURVE_TANGENT:
case CUBIC_LINE_TANGENT:
case ARC_LINE_TANGENT: {
Vector textAt, u, v;
if(type == ARC_LINE_TANGENT) {
Entity *arc = SK.GetEntity(entityA);
Entity *norm = SK.GetEntity(arc->normal);
Vector c = SK.GetEntity(arc->point[0])->PointGetNum();
Vector p =
SK.GetEntity(arc->point[other ? 2 : 1])->PointGetNum();
Vector r = p.Minus(c);
textAt = p.Plus(r.WithMagnitude(14/SS.GW.scale));
u = norm->NormalU();
v = norm->NormalV();
} else if(type == CUBIC_LINE_TANGENT) {
Vector n;
if(workplane.v == Entity::FREE_IN_3D.v) {
u = gr;
v = gu;
n = gn;
} else {
EntityBase *wn = SK.GetEntity(workplane)->Normal();
u = wn->NormalU();
v = wn->NormalV();
n = wn->NormalN();
}
Entity *cubic = SK.GetEntity(entityA);
Vector p = other ? cubic->CubicGetFinishNum() :
cubic->CubicGetStartNum();
Vector dir = SK.GetEntity(entityB)->VectorGetNum();
Vector out = n.Cross(dir);
textAt = p.Plus(out.WithMagnitude(14/SS.GW.scale));
} else {
Vector n, dir;
EntityBase *wn = SK.GetEntity(workplane)->Normal();
u = wn->NormalU();
v = wn->NormalV();
n = wn->NormalN();
EntityBase *eA = SK.GetEntity(entityA);
// Big pain; we have to get a vector tangent to the curve
// at the shared point, which could be from either a cubic
// or an arc.
if(other) {
textAt = eA->EndpointFinish();
if(eA->type == Entity::CUBIC) {
dir = eA->CubicGetFinishTangentNum();
} else {
dir = SK.GetEntity(eA->point[0])->PointGetNum().Minus(
SK.GetEntity(eA->point[2])->PointGetNum());
dir = n.Cross(dir);
}
} else {
textAt = eA->EndpointStart();
if(eA->type == Entity::CUBIC) {
dir = eA->CubicGetStartTangentNum();
} else {
dir = SK.GetEntity(eA->point[0])->PointGetNum().Minus(
SK.GetEntity(eA->point[1])->PointGetNum());
dir = n.Cross(dir);
}
}
dir = n.Cross(dir);
textAt = textAt.Plus(dir.WithMagnitude(14/SS.GW.scale));
}
if(dogd.drawing) {
ssglWriteTextRefCenter("T", DEFAULT_TEXT_HEIGHT,
textAt, u, v, LineCallback, this);
} else {
dogd.refp = textAt;
Point2d ref = SS.GW.ProjectPoint(dogd.refp);
dogd.dmin = min(dogd.dmin, ref.DistanceTo(dogd.mp)-10);
}
break;
}
case PARALLEL: {
for(int i = 0; i < 2; i++) {
Entity *e = SK.GetEntity(i == 0 ? entityA : entityB);
Vector n = e->VectorGetNum();
n = n.WithMagnitude(25/SS.GW.scale);
Vector u = (gn.Cross(n)).WithMagnitude(4/SS.GW.scale);
Vector p = e->VectorGetRefPoint();
LineDrawOrGetDistance(p.Plus(u), p.Plus(u).Plus(n));
LineDrawOrGetDistance(p.Minus(u), p.Minus(u).Plus(n));
}
break;
}
case EQUAL_RADIUS: {
for(int i = 0; i < 2; i++) {
DoEqualRadiusTicks(i == 0 ? entityA : entityB);
}
break;
}
case EQUAL_LINE_ARC_LEN: {
Entity *line = SK.GetEntity(entityA);
DoEqualLenTicks(
SK.GetEntity(line->point[0])->PointGetNum(),
SK.GetEntity(line->point[1])->PointGetNum(),
gn);
DoEqualRadiusTicks(entityB);
break;
}
case LENGTH_RATIO:
case EQUAL_LENGTH_LINES: {
Vector a, b = Vector::From(0, 0, 0);
for(int i = 0; i < 2; i++) {
Entity *e = SK.GetEntity(i == 0 ? entityA : entityB);
a = SK.GetEntity(e->point[0])->PointGetNum();
b = SK.GetEntity(e->point[1])->PointGetNum();
if(workplane.v != Entity::FREE_IN_3D.v) {
DoProjectedPoint(&a);
DoProjectedPoint(&b);
}
DoEqualLenTicks(a, b, gn);
}
if(type == LENGTH_RATIO) {
Vector ref = ((a.Plus(b)).ScaledBy(0.5)).Plus(disp.offset);
DoLabel(ref, labelPos, gr, gu);
}
break;
}
case EQ_LEN_PT_LINE_D: {
Entity *forLen = SK.GetEntity(entityA);
Vector a = SK.GetEntity(forLen->point[0])->PointGetNum(),
b = SK.GetEntity(forLen->point[1])->PointGetNum();
if(workplane.v != Entity::FREE_IN_3D.v) {
DoProjectedPoint(&a);
DoProjectedPoint(&b);
}
DoEqualLenTicks(a, b, gn);
Entity *ln = SK.GetEntity(entityB);
Vector la = SK.GetEntity(ln->point[0])->PointGetNum(),
lb = SK.GetEntity(ln->point[1])->PointGetNum();
Vector pt = SK.GetEntity(ptA)->PointGetNum();
if(workplane.v != Entity::FREE_IN_3D.v) {
DoProjectedPoint(&pt);
la = la.ProjectInto(workplane);
lb = lb.ProjectInto(workplane);
}
Vector closest = pt.ClosestPointOnLine(la, lb.Minus(la));
LineDrawOrGetDistance(pt, closest);
DoEqualLenTicks(pt, closest, gn);
break;
}
case EQ_PT_LN_DISTANCES: {
for(int i = 0; i < 2; i++) {
Entity *ln = SK.GetEntity(i == 0 ? entityA : entityB);
Vector la = SK.GetEntity(ln->point[0])->PointGetNum(),
lb = SK.GetEntity(ln->point[1])->PointGetNum();
Entity *pte = SK.GetEntity(i == 0 ? ptA : ptB);
Vector pt = pte->PointGetNum();
if(workplane.v != Entity::FREE_IN_3D.v) {
DoProjectedPoint(&pt);
la = la.ProjectInto(workplane);
lb = lb.ProjectInto(workplane);
}
Vector closest = pt.ClosestPointOnLine(la, lb.Minus(la));
LineDrawOrGetDistance(pt, closest);
DoEqualLenTicks(pt, closest, gn);
}
break;
}
{
case SYMMETRIC:
Vector n;
n = SK.GetEntity(entityA)->Normal()->NormalN(); goto s;
case SYMMETRIC_HORIZ:
n = SK.GetEntity(workplane)->Normal()->NormalU(); goto s;
case SYMMETRIC_VERT:
n = SK.GetEntity(workplane)->Normal()->NormalV(); goto s;
case SYMMETRIC_LINE: {
Entity *ln = SK.GetEntity(entityA);
Vector la = SK.GetEntity(ln->point[0])->PointGetNum(),
lb = SK.GetEntity(ln->point[1])->PointGetNum();
la = la.ProjectInto(workplane);
lb = lb.ProjectInto(workplane);
n = lb.Minus(la);
Vector nw = SK.GetEntity(workplane)->Normal()->NormalN();
n = n.RotatedAbout(nw, PI/2);
goto s;
}
s:
Vector a = SK.GetEntity(ptA)->PointGetNum();
Vector b = SK.GetEntity(ptB)->PointGetNum();
for(int i = 0; i < 2; i++) {
Vector tail = (i == 0) ? a : b;
Vector d = (i == 0) ? b : a;
d = d.Minus(tail);
// Project the direction in which the arrow is drawn normal
// to the symmetry plane; for projected symmetry constraints,
// they might not be in the same direction, even when the
// constraint is fully solved.
d = n.ScaledBy(d.Dot(n));
d = d.WithMagnitude(20/SS.GW.scale);
Vector tip = tail.Plus(d);
LineDrawOrGetDistance(tail, tip);
d = d.WithMagnitude(9/SS.GW.scale);
LineDrawOrGetDistance(tip, tip.Minus(d.RotatedAbout(gn, 0.6)));
LineDrawOrGetDistance(tip, tip.Minus(d.RotatedAbout(gn, -0.6)));
}
break;
}
case AT_MIDPOINT:
case HORIZONTAL:
case VERTICAL:
if(entityA.v) {
Vector r, u, n;
if(workplane.v == Entity::FREE_IN_3D.v) {
r = gr; u = gu; n = gn;
} else {
r = SK.GetEntity(workplane)->Normal()->NormalU();
u = SK.GetEntity(workplane)->Normal()->NormalV();
n = r.Cross(u);
}
// For "at midpoint", this branch is always taken.
Entity *e = SK.GetEntity(entityA);
Vector a = SK.GetEntity(e->point[0])->PointGetNum();
Vector b = SK.GetEntity(e->point[1])->PointGetNum();
Vector m = (a.ScaledBy(0.5)).Plus(b.ScaledBy(0.5));
Vector offset = (a.Minus(b)).Cross(n);
offset = offset.WithMagnitude(13/SS.GW.scale);
// Draw midpoint constraint on other side of line, so that
// a line can be midpoint and horizontal at same time.
if(type == AT_MIDPOINT) offset = offset.ScaledBy(-1);
if(dogd.drawing) {
const char *s = (type == HORIZONTAL) ? "H" : (
(type == VERTICAL) ? "V" : (
(type == AT_MIDPOINT) ? "M" : NULL));
ssglWriteTextRefCenter(s, DEFAULT_TEXT_HEIGHT,
m.Plus(offset), r, u, LineCallback, this);
} else {
dogd.refp = m.Plus(offset);
Point2d ref = SS.GW.ProjectPoint(dogd.refp);
dogd.dmin = min(dogd.dmin, ref.DistanceTo(dogd.mp)-10);
}
} else {
Vector a = SK.GetEntity(ptA)->PointGetNum();
Vector b = SK.GetEntity(ptB)->PointGetNum();
Entity *w = SK.GetEntity(workplane);
Vector cu = w->Normal()->NormalU();
Vector cv = w->Normal()->NormalV();
Vector cn = w->Normal()->NormalN();
int i;
for(i = 0; i < 2; i++) {
Vector o = (i == 0) ? a : b;
Vector oo = (i == 0) ? a.Minus(b) : b.Minus(a);
Vector d = (type == HORIZONTAL) ? cu : cv;
if(oo.Dot(d) < 0) d = d.ScaledBy(-1);
Vector dp = cn.Cross(d);
d = d.WithMagnitude(14/SS.GW.scale);
Vector c = o.Minus(d);
LineDrawOrGetDistance(o, c);
d = d.WithMagnitude(3/SS.GW.scale);
dp = dp.WithMagnitude(2/SS.GW.scale);
if(dogd.drawing) {
glBegin(GL_QUADS);
ssglVertex3v((c.Plus(d)).Plus(dp));
ssglVertex3v((c.Minus(d)).Plus(dp));
ssglVertex3v((c.Minus(d)).Minus(dp));
ssglVertex3v((c.Plus(d)).Minus(dp));
glEnd();
} else {
Point2d ref = SS.GW.ProjectPoint(c);
dogd.dmin = min(dogd.dmin, ref.DistanceTo(dogd.mp)-6);
}
}
}
break;
case COMMENT: {
if(dogd.drawing && disp.style.v) {
ssglLineWidth(Style::Width(disp.style));
ssglColorRGB(Style::Color(disp.style));
}
Vector u, v;
if(workplane.v == Entity::FREE_IN_3D.v) {
u = gr;
v = gu;
} else {
EntityBase *norm = SK.GetEntity(workplane)->Normal();
u = norm->NormalU();
v = norm->NormalV();
}
DoLabel(disp.offset, labelPos, u, v);
break;
}
default: oops();
}
}