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5a22982e05
solvespace/mesh.cpp
Jonathan Westhues 5a22982e05 Add sweeps. The user specifies a trajectory and a section, in two 
separate groups. The section is swept normal to the trajectory,
producing a mesh. I'm doing the triangles only now, not copying
over any entities.

Also fix a bug in the PNG export; rows are 4-aligned, so that was
breaking when the width of the image wasn't divisible by four. Also
fix a bug in lathes, where it generated overlapping triangles for
one segment.

And change the groups to record both "this mesh", the contribution
due to the extrude/lathe/whatever, and the "running mesh", that we
get after applying the requested Boolean op between "this mesh" and
the previous group's "running mesh". I'll use that to make step and
repeats step the mesh too.

[git-p4: depot-paths = "//depot/solvespace/": change = 1801]
2008-06-21 02:18:20 -08:00

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#include "solvespace.h"
void SMesh::Clear(void) {
l.Clear();
}
void SMesh::AddTriangle(STriMeta meta, Vector n, Vector a, Vector b, Vector c) {
Vector ab = b.Minus(a), bc = c.Minus(b);
Vector np = ab.Cross(bc);
if(np.Magnitude() < 1e-10) {
// ugh; gl sometimes tesselates to collinear triangles
return;
}
if(np.Dot(n) > 0) {
AddTriangle(meta, a, b, c);
} else {
AddTriangle(meta, c, b, a);
}
}
void SMesh::AddTriangle(STriMeta meta, Vector a, Vector b, Vector c) {
STriangle t; ZERO(&t);
t.meta = meta;
t.a = a;
t.b = b;
t.c = c;
AddTriangle(&t);
}
void SMesh::AddTriangle(STriangle *st) {
l.Add(st);
}
void SMesh::DoBounding(Vector v, Vector *vmax, Vector *vmin) {
vmax->x = max(vmax->x, v.x);
vmax->y = max(vmax->y, v.y);
vmax->z = max(vmax->z, v.z);
vmin->x = min(vmin->x, v.x);
vmin->y = min(vmin->y, v.y);
vmin->z = min(vmin->z, v.z);
}
void SMesh::GetBounding(Vector *vmax, Vector *vmin) {
int i;
*vmin = Vector::From( 1e12, 1e12, 1e12);
*vmax = Vector::From(-1e12, -1e12, -1e12);
for(i = 0; i < l.n; i++) {
STriangle *st = &(l.elem[i]);
DoBounding(st->a, vmax, vmin);
DoBounding(st->b, vmax, vmin);
DoBounding(st->c, vmax, vmin);
}
}
void SMesh::Simplify(int start) {
#define MAX_TRIANGLES 2000
if(l.n - start > MAX_TRIANGLES) oops();
STriMeta meta = l.elem[start].meta;
STriangle tout[MAX_TRIANGLES];
int toutc = 0;
Vector n, conv[MAX_TRIANGLES*3];
int convc = 0;
int start0 = start;
int i, j;
for(i = start; i < l.n; i++) {
STriangle *tr = &(l.elem[i]);
if((tr->Normal()).Magnitude() < LENGTH_EPS*LENGTH_EPS) {
tr->tag = 0;
} else {
tr->tag = 0;
}
}
for(;;) {
bool didAdd;
convc = 0;
for(i = start; i < l.n; i++) {
STriangle *tr = &(l.elem[i]);
if(tr->tag) continue;
tr->tag = 1;
n = (tr->Normal()).WithMagnitude(1);
conv[convc++] = tr->a;
conv[convc++] = tr->b;
conv[convc++] = tr->c;
start = i+1;
break;
}
if(i >= l.n) break;
do {
didAdd = false;
for(j = 0; j < convc; j++) {
Vector a = conv[WRAP((j-1), convc)],
b = conv[j],
d = conv[WRAP((j+1), convc)],
e = conv[WRAP((j+2), convc)];
Vector c;
for(i = start; i < l.n; i++) {
STriangle *tr = &(l.elem[i]);
if(tr->tag) continue;
if((tr->a).Equals(d) && (tr->b).Equals(b)) {
c = tr->c;
} else if((tr->b).Equals(d) && (tr->c).Equals(b)) {
c = tr->a;
} else if((tr->c).Equals(d) && (tr->a).Equals(b)) {
c = tr->b;
} else {
continue;
}
// The vertex at C must be convex; but the others must
// be tested
Vector ab = b.Minus(a);
Vector bc = c.Minus(b);
Vector cd = d.Minus(c);
Vector de = e.Minus(d);
double bDot = (ab.Cross(bc)).Dot(n);
double dDot = (cd.Cross(de)).Dot(n);
bDot /= min(ab.Magnitude(), bc.Magnitude());
dDot /= min(cd.Magnitude(), de.Magnitude());
if(fabs(bDot) < LENGTH_EPS && fabs(dDot) < LENGTH_EPS) {
conv[WRAP((j+1), convc)] = c;
// and remove the vertex at j, which is a dup
memmove(conv+j, conv+j+1,
(convc - j - 1)*sizeof(conv[0]));
convc--;
} else if(fabs(bDot) < LENGTH_EPS && dDot > 0) {
conv[j] = c;
} else if(fabs(dDot) < LENGTH_EPS && bDot > 0) {
conv[WRAP((j+1), convc)] = c;
} else if(bDot > 0 && dDot > 0) {
// conv[j] is unchanged, conv[j+1] goes to [j+2]
memmove(conv+j+2, conv+j+1,
(convc - j - 1)*sizeof(conv[0]));
conv[j+1] = c;
convc++;
} else {
continue;
}
didAdd = true;
tr->tag = 1;
break;
}
}
} while(didAdd);
// I need to debug why this is required; sometimes the above code
// still generates a convex polygon
for(i = 0; i < convc; i++) {
Vector a = conv[WRAP((i-1), convc)],
b = conv[i],
c = conv[WRAP((i+1), convc)];
Vector ab = b.Minus(a);
Vector bc = c.Minus(b);
double bDot = (ab.Cross(bc)).Dot(n);
bDot /= min(ab.Magnitude(), bc.Magnitude());
if(bDot < 0) oops();
}
for(i = 0; i < convc - 2; i++) {
STriangle tr = STriangle::From(meta, conv[0], conv[i+1], conv[i+2]);
if((tr.Normal()).Magnitude() > LENGTH_EPS*LENGTH_EPS) {
tout[toutc++] = tr;
}
}
}
l.n = start0;
for(i = 0; i < toutc; i++) {
AddTriangle(&(tout[i]));
}
}
void SMesh::AddAgainstBsp(SMesh *srcm, SBsp3 *bsp3) {
int i;
for(i = 0; i < srcm->l.n; i++) {
STriangle *st = &(srcm->l.elem[i]);
int pn = l.n;
atLeastOneDiscarded = false;
bsp3->Insert(st, this);
if(!atLeastOneDiscarded && (l.n != (pn+1))) {
l.n = pn;
if(flipNormal) {
AddTriangle(st->meta, st->c, st->b, st->a);
} else {
AddTriangle(st->meta, st->a, st->b, st->c);
}
}
if(l.n - pn > 1) {
Simplify(pn);
}
}
}
void SMesh::MakeFromUnion(SMesh *a, SMesh *b) {
SBsp3 *bspa = SBsp3::FromMesh(a);
SBsp3 *bspb = SBsp3::FromMesh(b);
flipNormal = false;
keepCoplanar = false;
AddAgainstBsp(b, bspa);
flipNormal = false;
keepCoplanar = true;
AddAgainstBsp(a, bspb);
}
void SMesh::MakeFromDifference(SMesh *a, SMesh *b) {
SBsp3 *bspa = SBsp3::FromMesh(a);
SBsp3 *bspb = SBsp3::FromMesh(b);
flipNormal = true;
keepCoplanar = true;
AddAgainstBsp(b, bspa);
flipNormal = false;
keepCoplanar = false;
AddAgainstBsp(a, bspb);
}
bool SMesh::MakeFromInterferenceCheck(SMesh *srca, SMesh *srcb, SMesh *error) {
SBsp3 *bspa = SBsp3::FromMesh(srca);
SBsp3 *bspb = SBsp3::FromMesh(srcb);
error->Clear();
error->flipNormal = true;
error->keepCoplanar = false;
error->AddAgainstBsp(srcb, bspa);
error->AddAgainstBsp(srca, bspb);
// Now we have a list of all the triangles (or fragments thereof) from
// A that lie inside B, or vice versa. That's the interference, and
// we report it so that it can be flagged.
// But as far as the actual model, we just copy everything over.
int i;
for(i = 0; i < srca->l.n; i++) {
AddTriangle(&(srca->l.elem[i]));
}
for(i = 0; i < srcb->l.n; i++) {
AddTriangle(&(srcb->l.elem[i]));
}
return (error->l.n == 0);
}
DWORD SMesh::FirstIntersectionWith(Point2d mp) {
Vector p0 = Vector::From(mp.x, mp.y, 0);
Vector gn = Vector::From(0, 0, 1);
double maxT = -1e12;
DWORD face = 0;
int i;
for(i = 0; i < l.n; i++) {
STriangle tr = l.elem[i];
tr.a = SS.GW.ProjectPoint3(tr.a);
tr.b = SS.GW.ProjectPoint3(tr.b);
tr.c = SS.GW.ProjectPoint3(tr.c);
Vector n = tr.Normal();
if(n.Dot(gn) < LENGTH_EPS) continue; // back-facing or on edge
if(tr.ContainsPointProjd(gn, p0)) {
// Let our line have the form r(t) = p0 + gn*t
double t = -(n.Dot((tr.a).Minus(p0)))/(n.Dot(gn));
if(t > maxT) {
maxT = t;
face = tr.meta.face;
}
}
}
return face;
}
SBsp2 *SBsp2::Alloc(void) { return (SBsp2 *)AllocTemporary(sizeof(SBsp2)); }
SBsp3 *SBsp3::Alloc(void) { return (SBsp3 *)AllocTemporary(sizeof(SBsp3)); }
SBsp3 *SBsp3::FromMesh(SMesh *m) {
SBsp3 *bsp3 = NULL;
int i;
SMesh mc; ZERO(&mc);
for(i = 0; i < m->l.n; i++) {
mc.AddTriangle(&(m->l.elem[i]));
}
srand(0); // Let's be deterministic, at least!
int n = mc.l.n;
while(n > 1) {
int k = rand() % n;
n--;
SWAP(STriangle, mc.l.elem[k], mc.l.elem[n]);
}
for(i = 0; i < mc.l.n; i++) {
bsp3 = bsp3->Insert(&(mc.l.elem[i]), NULL);
}
mc.Clear();
return bsp3;
}
Vector SBsp3::IntersectionWith(Vector a, Vector b) {
double da = a.Dot(n) - d;
double db = b.Dot(n) - d;
if(da*db > 0) oops();
double dab = (db - da);
return (a.ScaledBy(db/dab)).Plus(b.ScaledBy(-da/dab));
}
void SBsp3::InsertInPlane(bool pos2, STriangle *tr, SMesh *m) {
Vector tc = ((tr->a).Plus(tr->b).Plus(tr->c)).ScaledBy(1.0/3);
bool onFace = false;
bool sameNormal;
double maxNormalMag = -1;
Vector lln, trn = tr->Normal();
SBsp3 *ll = this;
while(ll) {
if((ll->tri).ContainsPoint(tc)) {
onFace = true;
// If the mesh contains almost-zero-area triangles, and we're
// just on the edge of one of those, then don't trust its normal.
lln = (ll->tri).Normal();
if(lln.Magnitude() > maxNormalMag) {
sameNormal = trn.Dot(lln) > 0;
maxNormalMag = lln.Magnitude();
}
}
ll = ll->more;
}
if(m->flipNormal && ((!pos2 && !onFace) ||
(onFace && !sameNormal && m->keepCoplanar)))
{
m->AddTriangle(tr->meta, tr->c, tr->b, tr->a);
} else if(!(m->flipNormal) && ((pos2 && !onFace) ||
(onFace && sameNormal && m->keepCoplanar)))
{
m->AddTriangle(tr->meta, tr->a, tr->b, tr->c);
} else {
m->atLeastOneDiscarded = true;
}
}
void SBsp3::InsertHow(int how, STriangle *tr, SMesh *instead) {
switch(how) {
case POS:
if(instead && !pos) goto alt;
pos = pos->Insert(tr, instead);
break;
case NEG:
if(instead && !neg) goto alt;
neg = neg->Insert(tr, instead);
break;
case COPLANAR: {
if(instead) goto alt;
SBsp3 *m = Alloc();
m->n = n;
m->d = d;
m->tri = *tr;
m->more = more;
more = m;
break;
}
default: oops();
}
return;
alt:
if(how == POS && !(instead->flipNormal)) {
instead->AddTriangle(tr->meta, tr->a, tr->b, tr->c);
} else if(how == NEG && instead->flipNormal) {
instead->AddTriangle(tr->meta, tr->c, tr->b, tr->a);
} else if(how == COPLANAR) {
if(edges) {
edges->InsertTriangle(tr, instead, this);
} else {
// I suppose this actually is allowed to happen, if the coplanar
// face is the leaf, and all of its neighbors are earlier in tree?
InsertInPlane(false, tr, instead);
}
} else {
instead->atLeastOneDiscarded = true;
}
}
void SBsp3::InsertConvexHow(int how, STriMeta meta, Vector *vertex, int n,
SMesh *instead)
{
switch(how) {
case POS:
if(pos) {
pos = pos->InsertConvex(meta, vertex, n, instead);
return;
}
break;
case NEG:
if(neg) {
neg = neg->InsertConvex(meta, vertex, n, instead);
return;
}
break;
default: oops();
}
int i;
for(i = 0; i < n - 2; i++) {
STriangle tr = STriangle::From(meta,
vertex[0], vertex[i+1], vertex[i+2]);
InsertHow(how, &tr, instead);
}
}
SBsp3 *SBsp3::InsertConvex(STriMeta meta, Vector *vertex, int cnt,
SMesh *instead)
{
Vector e01 = (vertex[1]).Minus(vertex[0]);
Vector e12 = (vertex[2]).Minus(vertex[1]);
Vector out = e01.Cross(e12);
#define MAX_VERTICES 50
if(cnt+1 >= MAX_VERTICES) goto triangulate;
int i;
Vector on[2];
bool isPos[MAX_VERTICES];
bool isNeg[MAX_VERTICES];
bool isOn[MAX_VERTICES];
int posc = 0, negc = 0, onc = 0;
for(i = 0; i < cnt; i++) {
double dt = n.Dot(vertex[i]);
isPos[i] = isNeg[i] = isOn[i] = false;
if(fabs(dt - d) < LENGTH_EPS) {
isOn[i] = true;
if(onc < 2) {
on[onc] = vertex[i];
}
onc++;
} else if(dt > d) {
isPos[i] = true;
posc++;
} else {
isNeg[i] = true;
negc++;
}
}
if(onc != 2 && onc != 1 && onc != 0) goto triangulate;
if(onc == 2) {
if(!instead) {
SEdge se = SEdge::From(on[0], on[1]);
edges = edges->InsertEdge(&se, n, out);
}
}
if(posc == 0) {
InsertConvexHow(NEG, meta, vertex, cnt, instead);
return this;
}
if(negc == 0) {
InsertConvexHow(POS, meta, vertex, cnt, instead);
return this;
}
Vector vpos[MAX_VERTICES];
Vector vneg[MAX_VERTICES];
int npos = 0, nneg = 0;
Vector inter[2];
int inters = 0;
for(i = 0; i < cnt; i++) {
int ip = WRAP((i + 1), cnt);
if(isPos[i]) {
vpos[npos++] = vertex[i];
}
if(isNeg[i]) {
vneg[nneg++] = vertex[i];
}
if(isOn[i]) {
vneg[nneg++] = vertex[i];
vpos[npos++] = vertex[i];
}
if((isPos[i] && isNeg[ip]) || (isNeg[i] && isPos[ip])) {
Vector vi = IntersectionWith(vertex[i], vertex[ip]);
vpos[npos++] = vi;
vneg[nneg++] = vi;
if(inters >= 2) oops();
inter[inters++] = vi;
}
}
if(npos > cnt + 1 || nneg > cnt + 1) oops();
if(!instead) {
if(inters == 2) {
SEdge se = SEdge::From(inter[0], inter[1]);
edges = edges->InsertEdge(&se, n, out);
} else if(inters == 1 && onc == 1) {
SEdge se = SEdge::From(inter[0], on[0]);
edges = edges->InsertEdge(&se, n, out);
} else if(inters == 0 && onc == 2) {
// We already handled this on-plane existing edge
} else oops();
}
if(nneg < 3 || npos < 3) oops();
InsertConvexHow(NEG, meta, vneg, nneg, instead);
InsertConvexHow(POS, meta, vpos, npos, instead);
return this;
triangulate:
// We don't handle the special case for this; do it as triangles
SBsp3 *r = this;
for(i = 0; i < cnt - 2; i++) {
STriangle tr = STriangle::From(meta,
vertex[0], vertex[i+1], vertex[i+2]);
r = r->Insert(&tr, instead);
}
return r;
}
SBsp3 *SBsp3::Insert(STriangle *tr, SMesh *instead) {
if(!this) {
if(instead) {
if(instead->flipNormal) {
instead->atLeastOneDiscarded = true;
} else {
instead->AddTriangle(tr->meta, tr->a, tr->b, tr->c);
}
return NULL;
}
// Brand new node; so allocate for it, and fill us in.
SBsp3 *r = Alloc();
r->n = (tr->Normal()).WithMagnitude(1);
r->d = (tr->a).Dot(r->n);
r->tri = *tr;
return r;
}
double dt[3] = { (tr->a).Dot(n), (tr->b).Dot(n), (tr->c).Dot(n) };
int inc = 0, posc = 0, negc = 0;
bool isPos[3], isNeg[3], isOn[3];
ZERO(&isPos); ZERO(&isNeg); ZERO(&isOn);
// Count vertices in the plane
for(int i = 0; i < 3; i++) {
if(fabs(dt[i] - d) < LENGTH_EPS) {
inc++;
isOn[i] = true;
} else if(dt[i] > d) {
posc++;
isPos[i] = true;
} else {
negc++;
isNeg[i] = true;
}
}
// All vertices in-plane
if(inc == 3) {
InsertHow(COPLANAR, tr, instead);
return this;
}
// No split required
if(posc == 0 || negc == 0) {
if(inc == 2) {
Vector a, b;
if (!isOn[0]) { a = tr->b; b = tr->c; }
else if(!isOn[1]) { a = tr->c; b = tr->a; }
else if(!isOn[2]) { a = tr->a; b = tr->b; }
else oops();
if(!instead) {
SEdge se = SEdge::From(a, b);
edges = edges->InsertEdge(&se, n, tr->Normal());
}
}
if(posc > 0) {
InsertHow(POS, tr, instead);
} else {
InsertHow(NEG, tr, instead);
}
return this;
}
// The polygon must be split into two pieces, one above, one below.
Vector a, b, c;
if(posc == 1 && negc == 1 && inc == 1) {
bool bpos;
// Standardize so that a is on the plane
if (isOn[0]) { a = tr->a; b = tr->b; c = tr->c; bpos = isPos[1];
} else if(isOn[1]) { a = tr->b; b = tr->c; c = tr->a; bpos = isPos[2];
} else if(isOn[2]) { a = tr->c; b = tr->a; c = tr->b; bpos = isPos[0];
} else oops();
Vector bPc = IntersectionWith(b, c);
STriangle btri = STriangle::From(tr->meta, a, b, bPc);
STriangle ctri = STriangle::From(tr->meta, c, a, bPc);
if(bpos) {
InsertHow(POS, &btri, instead);
InsertHow(NEG, &ctri, instead);
} else {
InsertHow(POS, &ctri, instead);
InsertHow(NEG, &btri, instead);
}
if(!instead) {
SEdge se = SEdge::From(a, bPc);
edges = edges->InsertEdge(&se, n, tr->Normal());
}
return this;
}
if(posc == 2 && negc == 1) {
// Standardize so that a is on one side, and b and c are on the other.
if (isNeg[0]) { a = tr->a; b = tr->b; c = tr->c;
} else if(isNeg[1]) { a = tr->b; b = tr->c; c = tr->a;
} else if(isNeg[2]) { a = tr->c; b = tr->a; c = tr->b;
} else oops();
} else if(posc == 1 && negc == 2) {
if (isPos[0]) { a = tr->a; b = tr->b; c = tr->c;
} else if(isPos[1]) { a = tr->b; b = tr->c; c = tr->a;
} else if(isPos[2]) { a = tr->c; b = tr->a; c = tr->b;
} else oops();
} else oops();
Vector aPb = IntersectionWith(a, b);
Vector cPa = IntersectionWith(c, a);
STriangle alone = STriangle::From(tr->meta, a, aPb, cPa);
Vector quad[4] = { aPb, b, c, cPa };
if(posc == 2 && negc == 1) {
InsertConvexHow(POS, tr->meta, quad, 4, instead);
InsertHow(NEG, &alone, instead);
} else {
InsertConvexHow(NEG, tr->meta, quad, 4, instead);
InsertHow(POS, &alone, instead);
}
if(!instead) {
SEdge se = SEdge::From(aPb, cPa);
edges = edges->InsertEdge(&se, n, alone.Normal());
}
return this;
}
void SBsp3::DebugDraw(void) {
if(!this) return;
pos->DebugDraw();
Vector norm = tri.Normal();
glNormal3d(norm.x, norm.y, norm.z);
glEnable(GL_DEPTH_TEST);
glEnable(GL_LIGHTING);
glBegin(GL_TRIANGLES);
glxVertex3v(tri.a);
glxVertex3v(tri.b);
glxVertex3v(tri.c);
glEnd();
glDisable(GL_LIGHTING);
glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
glxDepthRangeOffset(2);
glBegin(GL_TRIANGLES);
glxVertex3v(tri.a);
glxVertex3v(tri.b);
glxVertex3v(tri.c);
glEnd();
glDisable(GL_LIGHTING);
glPolygonMode(GL_FRONT_AND_BACK, GL_POINT);
glPointSize(10);
glxDepthRangeOffset(2);
glBegin(GL_TRIANGLES);
glxVertex3v(tri.a);
glxVertex3v(tri.b);
glxVertex3v(tri.c);
glEnd();
glxDepthRangeOffset(0);
glPolygonMode(GL_FRONT_AND_BACK, GL_FILL);
more->DebugDraw();
neg->DebugDraw();
edges->DebugDraw(n, d);
}
/////////////////////////////////
Vector SBsp2::IntersectionWith(Vector a, Vector b) {
double da = a.Dot(no) - d;
double db = b.Dot(no) - d;
if(da*db > 0) oops();
double dab = (db - da);
return (a.ScaledBy(db/dab)).Plus(b.ScaledBy(-da/dab));
}
SBsp2 *SBsp2::InsertEdge(SEdge *nedge, Vector nnp, Vector out) {
if(!this) {
// Brand new node; so allocate for it, and fill us in.
SBsp2 *r = Alloc();
r->np = nnp;
r->no = ((r->np).Cross((nedge->b).Minus(nedge->a))).WithMagnitude(1);
if(out.Dot(r->no) < 0) {
r->no = (r->no).ScaledBy(-1);
}
r->d = (nedge->a).Dot(r->no);
r->edge = *nedge;
return r;
}
double dt[2] = { (nedge->a).Dot(no), (nedge->b).Dot(no) };
bool isPos[2], isNeg[2], isOn[2];
ZERO(&isPos); ZERO(&isNeg); ZERO(&isOn);
for(int i = 0; i < 2; i++) {
if(fabs(dt[i] - d) < LENGTH_EPS) {
isOn[i] = true;
} else if(dt[i] > d) {
isPos[i] = true;
} else {
isNeg[i] = true;
}
}
if((isPos[0] && isPos[1])||(isPos[0] && isOn[1])||(isOn[0] && isPos[1])) {
pos = pos->InsertEdge(nedge, nnp, out);
return this;
}
if((isNeg[0] && isNeg[1])||(isNeg[0] && isOn[1])||(isOn[0] && isNeg[1])) {
neg = neg->InsertEdge(nedge, nnp, out);
return this;
}
if(isOn[0] && isOn[1]) {
SBsp2 *m = Alloc();
m->np = nnp;
m->no = ((m->np).Cross((nedge->b).Minus(nedge->a))).WithMagnitude(1);
if(out.Dot(m->no) < 0) {
m->no = (m->no).ScaledBy(-1);
}
m->d = (nedge->a).Dot(m->no);
m->edge = *nedge;
m->more = more;
more = m;
return this;
}
if((isPos[0] && isNeg[1]) || (isNeg[0] && isPos[1])) {
Vector aPb = IntersectionWith(nedge->a, nedge->b);
SEdge ea = SEdge::From(nedge->a, aPb);
SEdge eb = SEdge::From(aPb, nedge->b);
if(isPos[0]) {
pos = pos->InsertEdge(&ea, nnp, out);
neg = neg->InsertEdge(&eb, nnp, out);
} else {
neg = neg->InsertEdge(&ea, nnp, out);
pos = pos->InsertEdge(&eb, nnp, out);
}
return this;
}
oops();
}
void SBsp2::InsertTriangleHow(int how, STriangle *tr, SMesh *m, SBsp3 *bsp3) {
switch(how) {
case POS:
if(pos) {
pos->InsertTriangle(tr, m, bsp3);
} else {
bsp3->InsertInPlane(true, tr, m);
}
break;
case NEG:
if(neg) {
neg->InsertTriangle(tr, m, bsp3);
} else {
bsp3->InsertInPlane(false, tr, m);
}
break;
default: oops();
}
}
void SBsp2::InsertTriangle(STriangle *tr, SMesh *m, SBsp3 *bsp3) {
double dt[3] = { (tr->a).Dot(no), (tr->b).Dot(no), (tr->c).Dot(no) };
bool isPos[3], isNeg[3], isOn[3];
int inc = 0, posc = 0, negc = 0;
ZERO(&isPos); ZERO(&isNeg); ZERO(&isOn);
for(int i = 0; i < 3; i++) {
if(fabs(dt[i] - d) < LENGTH_EPS) {
isOn[i] = true;
inc++;
} else if(dt[i] > d) {
isPos[i] = true;
posc++;
} else {
isNeg[i] = true;
negc++;
}
}
if(inc == 3) {
// All vertices on-line; so it's a degenerate triangle, to ignore.
return;
}
// No split required
if(posc == 0 || negc == 0) {
if(posc > 0) {
InsertTriangleHow(POS, tr, m, bsp3);
} else {
InsertTriangleHow(NEG, tr, m, bsp3);
}
return;
}
// The polygon must be split into two pieces, one above, one below.
Vector a, b, c;
if(posc == 1 && negc == 1 && inc == 1) {
bool bpos;
// Standardize so that a is on the plane
if (isOn[0]) { a = tr->a; b = tr->b; c = tr->c; bpos = isPos[1];
} else if(isOn[1]) { a = tr->b; b = tr->c; c = tr->a; bpos = isPos[2];
} else if(isOn[2]) { a = tr->c; b = tr->a; c = tr->b; bpos = isPos[0];
} else oops();
Vector bPc = IntersectionWith(b, c);
STriangle btri = STriangle::From(tr->meta, a, b, bPc);
STriangle ctri = STriangle::From(tr->meta, c, a, bPc);
if(bpos) {
InsertTriangleHow(POS, &btri, m, bsp3);
InsertTriangleHow(NEG, &ctri, m, bsp3);
} else {
InsertTriangleHow(POS, &ctri, m, bsp3);
InsertTriangleHow(NEG, &btri, m, bsp3);
}
return;
}
if(posc == 2 && negc == 1) {
// Standardize so that a is on one side, and b and c are on the other.
if (isNeg[0]) { a = tr->a; b = tr->b; c = tr->c;
} else if(isNeg[1]) { a = tr->b; b = tr->c; c = tr->a;
} else if(isNeg[2]) { a = tr->c; b = tr->a; c = tr->b;
} else oops();
} else if(posc == 1 && negc == 2) {
if (isPos[0]) { a = tr->a; b = tr->b; c = tr->c;
} else if(isPos[1]) { a = tr->b; b = tr->c; c = tr->a;
} else if(isPos[2]) { a = tr->c; b = tr->a; c = tr->b;
} else oops();
} else oops();
Vector aPb = IntersectionWith(a, b);
Vector cPa = IntersectionWith(c, a);
STriangle alone = STriangle::From(tr->meta, a, aPb, cPa);
STriangle quad1 = STriangle::From(tr->meta, aPb, b, c );
STriangle quad2 = STriangle::From(tr->meta, aPb, c, cPa);
if(posc == 2 && negc == 1) {
InsertTriangleHow(POS, &quad1, m, bsp3);
InsertTriangleHow(POS, &quad2, m, bsp3);
InsertTriangleHow(NEG, &alone, m, bsp3);
} else {
InsertTriangleHow(NEG, &quad1, m, bsp3);
InsertTriangleHow(NEG, &quad2, m, bsp3);
InsertTriangleHow(POS, &alone, m, bsp3);
}
return;
}
void SBsp2::DebugDraw(Vector n, double d) {
if(!this) return;
if(fabs((edge.a).Dot(n) - d) > LENGTH_EPS) oops();
if(fabs((edge.b).Dot(n) - d) > LENGTH_EPS) oops();
glLineWidth(10);
glBegin(GL_LINES);
glxVertex3v(edge.a);
glxVertex3v(edge.b);
glEnd();
pos->DebugDraw(n, d);
neg->DebugDraw(n, d);
more->DebugDraw(n, d);
glLineWidth(1);
}
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