void Constraint::DoEqualLenTicks(Vector a, Vector b, Vector gn) {
Vector m = (a.ScaledBy(1.0/3)).Plus(b.ScaledBy(2.0/3));
Vector ab = a.Minus(b);
Vector n = (gn.Cross(ab)).WithMagnitude(10/SS.GW.scale);
LineDrawOrGetDistance(m.Minus(n), m.Plus(n));
}
//-----------------------------------------------------------------------------
// Draw a line with arrows on both ends, and possibly a gap in the middle for
// the dimension. We will use these for most length dimensions. The length
// being dimensioned is from A to B; but those points get extended perpendicular
// to the line AB, until the line between the extensions crosses ref (the
// center of the label).
//-----------------------------------------------------------------------------
void Constraint::DoLineWithArrows(Vector ref, Vector a, Vector b,
bool onlyOneExt)
{
Vector gn = (SS.GW.projRight.Cross(SS.GW.projUp)).WithMagnitude(1);
double pixels = 1.0 / SS.GW.scale;
Vector ab = a.Minus(b);
Vector ar = a.Minus(ref);
// Normal to a plane containing the line and the label origin.
Vector n = ab.Cross(ar);
// Within that plane, and normal to the line AB; so that's our extension
// line.
Vector out = ab.Cross(n).WithMagnitude(1);
out = out.ScaledBy(-out.Dot(ar));
Vector ae = a.Plus(out), be = b.Plus(out);
// Extension lines extend 10 pixels beyond where the arrows get
// drawn (which is at the same offset perpendicular from AB as the
// label).
LineDrawOrGetDistance(a, ae.Plus(out.WithMagnitude(10*pixels)));
if(!onlyOneExt) {
LineDrawOrGetDistance(b, be.Plus(out.WithMagnitude(10*pixels)));
}
int within = DoLineTrimmedAgainstBox(ref, ae, be);
// Arrow heads are 13 pixels long, with an 18 degree half-angle.
double theta = 18*PI/180;
Vector arrow = (be.Minus(ae)).WithMagnitude(13*pixels);
if(within != 0) {
arrow = arrow.ScaledBy(-1);
Vector seg = (be.Minus(ae)).WithMagnitude(18*pixels);
if(within < 0) LineDrawOrGetDistance(ae, ae.Minus(seg));
if(within > 0) LineDrawOrGetDistance(be, be.Plus(seg));
}
LineDrawOrGetDistance(ae, ae.Plus(arrow.RotatedAbout(n, theta)));
LineDrawOrGetDistance(ae, ae.Plus(arrow.RotatedAbout(n, -theta)));
arrow = arrow.ScaledBy(-1);
LineDrawOrGetDistance(be, be.Plus(arrow.RotatedAbout(n, theta)));
LineDrawOrGetDistance(be, be.Plus(arrow.RotatedAbout(n, -theta)));
}
void Constraint::DoEqualRadiusTicks(hEntity he) {
Entity *circ = SK.GetEntity(he);
Vector center = SK.GetEntity(circ->point[0])->PointGetNum();
double r = circ->CircleGetRadiusNum();
Quaternion q = circ->Normal()->NormalGetNum();
Vector u = q.RotationU(), v = q.RotationV();
double theta;
if(circ->type == Entity::CIRCLE) {
theta = PI/2;
} else if(circ->type == Entity::ARC_OF_CIRCLE) {
double thetaa, thetab, dtheta;
circ->ArcGetAngles(&thetaa, &thetab, &dtheta);
theta = thetaa + dtheta/2;
} else oops();
Vector d = u.ScaledBy(cos(theta)).Plus(v.ScaledBy(sin(theta)));
d = d.ScaledBy(r);
Vector p = center.Plus(d);
Vector tick = d.WithMagnitude(10/SS.GW.scale);
LineDrawOrGetDistance(p.Plus(tick), p.Minus(tick));
}
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();
}
}
void Constraint::DoArcForAngle(Vector a0, Vector da, Vector b0, Vector db,
Vector offset, Vector *ref)
{
Vector gr = SS.GW.projRight.ScaledBy(1/SS.GW.scale);
Vector gu = SS.GW.projUp.ScaledBy(1/SS.GW.scale);
if(workplane.v != Entity::FREE_IN_3D.v) {
a0 = a0.ProjectInto(workplane);
b0 = b0.ProjectInto(workplane);
da = da.ProjectVectorInto(workplane);
db = db.ProjectVectorInto(workplane);
}
bool skew;
Vector pi = Vector::AtIntersectionOfLines(a0, a0.Plus(da),
b0, b0.Plus(db), &skew);
if(!skew) {
*ref = pi.Plus(offset);
// We draw in a coordinate system centered at the intersection point.
// One basis vector is da, and the other is normal to da and in
// the plane that contains our lines (so normal to its normal).
Vector dna = (da.Cross(db)).Cross(da);
da = da.WithMagnitude(1); dna = dna.WithMagnitude(1);
Vector rm = (*ref).Minus(pi);
double rda = rm.Dot(da), rdna = rm.Dot(dna);
double r = sqrt(rda*rda + rdna*rdna);
double c = (da.Dot(db))/(da.Magnitude()*db.Magnitude());
double thetaf = acos(c);
Vector m = da.ScaledBy(cos(thetaf/2)).Plus(
dna.ScaledBy(sin(thetaf/2)));
if(m.Dot(rm) < 0) {
da = da.ScaledBy(-1); dna = dna.ScaledBy(-1);
}
Vector prev = da.ScaledBy(r).Plus(pi);
int i, n = 30;
for(i = 0; i <= n; i++) {
double theta = (i*thetaf)/n;
Vector p = da. ScaledBy(r*cos(theta)).Plus(
dna.ScaledBy(r*sin(theta))).Plus(pi);
LineDrawOrGetDistance(prev, p);
prev = p;
}
// The elliptical approximation isn't exactly right, but the correct
// calculation (against the bounding box of the text) would be rather
// complex and this looks pretty good.
double tl = atan2(rm.Dot(gu), rm.Dot(gr));
double adj = EllipticalInterpolation(
ssglStrWidth(Label(), DEFAULT_TEXT_HEIGHT)/2,
ssglStrHeight(DEFAULT_TEXT_HEIGHT)/2,
tl);
*ref = (*ref).Plus(rm.WithMagnitude(adj + 3/SS.GW.scale));
} else {
// The lines are skew; no wonderful way to illustrate that.
*ref = a0.Plus(b0);
*ref = (*ref).ScaledBy(0.5).Plus(disp.offset);
gu = gu.WithMagnitude(1);
Vector trans =
(*ref).Plus(gu.ScaledBy(-1.5*ssglStrHeight(DEFAULT_TEXT_HEIGHT)));
ssglWriteTextRefCenter("angle between skew lines", DEFAULT_TEXT_HEIGHT,
trans, gr, gu, LineCallback, this);
}
}
//-----------------------------------------------------------------------------
// There is a rectangular box, aligned to our display axes (projRight, projUp)
// centered at ref. This is where a dimension label will be drawn. We want to
// draw a line from A to B. If that line would intersect the label box, then
// trim the line to leave a gap for it, and return zero. If not, then extend
// the line to almost meet the box, and return either positive or negative,
// depending whether that extension was from A or from B.
//-----------------------------------------------------------------------------
int Constraint::DoLineTrimmedAgainstBox(Vector ref, Vector a, Vector b) {
Vector gu = SS.GW.projUp.WithMagnitude(1),
gr = SS.GW.projRight.WithMagnitude(1);
double pixels = 1.0 / SS.GW.scale;
char *s = Label();
double swidth = ssglStrWidth(s, DEFAULT_TEXT_HEIGHT) + 4*pixels,
sheight = ssglStrHeight(DEFAULT_TEXT_HEIGHT) + 8*pixels;
struct {
Vector n;
double d;
} planes[4];
// reference pos is the center of box occupied by text; build a rectangle
// around that, aligned to axes gr and gu, from four planes will all four
// normals pointing inward
planes[0].n = gu.ScaledBy(-1); planes[0].d = -(gu.Dot(ref) + sheight/2);
planes[1].n = gu; planes[1].d = gu.Dot(ref) - sheight/2;
planes[2].n = gr; planes[2].d = gr.Dot(ref) - swidth/2;
planes[3].n = gr.ScaledBy(-1); planes[3].d = -(gr.Dot(ref) + swidth/2);
double tmin = VERY_POSITIVE, tmax = VERY_NEGATIVE;
Vector dl = b.Minus(a);
for(int i = 0; i < 4; i++) {
bool parallel;
Vector p = Vector::AtIntersectionOfPlaneAndLine(
planes[i].n, planes[i].d,
a, b, ¶llel);
if(parallel) continue;
int j;
for(j = 0; j < 4; j++) {
double d = (planes[j].n).Dot(p) - planes[j].d;
if(d < -LENGTH_EPS) break;
}
if(j < 4) continue;
double t = (p.Minus(a)).DivPivoting(dl);
tmin = min(t, tmin);
tmax = max(t, tmax);
}
int within = 0;
if(tmin > -0.01 && tmin < 1.01 && tmax > -0.01 && tmax < 1.01) {
// Both in range; so there's pieces of the line on both sides of the
// label box.
LineDrawOrGetDistance(a, a.Plus(dl.ScaledBy(tmin)));
LineDrawOrGetDistance(a.Plus(dl.ScaledBy(tmax)), b);
} else if(tmin > -0.01 && tmin < 1.01) {
// Only one intersection in range; so the box is right on top of the
// endpoint
LineDrawOrGetDistance(a, a.Plus(dl.ScaledBy(tmin)));
} else if(tmax > -0.01 && tmax < 1.01) {
// Likewise.
LineDrawOrGetDistance(a.Plus(dl.ScaledBy(tmax)), b);
} else {
// The line does not intersect the label; so the line should get
// extended to just barely meet the label.
if(tmin < 0.01 && tmax < 0.01) {
LineDrawOrGetDistance(a.Plus(dl.ScaledBy(tmax)), b);
within = 1;
} else if(tmin > 0.99 && tmax > 0.99) {
LineDrawOrGetDistance(a, a.Plus(dl.ScaledBy(tmin)));
within = -1;
} else {
// This will happen if the entire line lies within the box.
LineDrawOrGetDistance(a, b);
}
}
// 0 means the label lies within the line, negative means it's outside
// and closer to b, positive means outside and closer to a.
return within;
}
void Constraint::StippledLine(Vector a, Vector b) {
glLineStipple(4, 0x5555);
glEnable(GL_LINE_STIPPLE);
LineDrawOrGetDistance(a, b);
glDisable(GL_LINE_STIPPLE);
}
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();
}
