647 lines
18 KiB
C++
647 lines
18 KiB
C++
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#include "solvespace.h"
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SBsp2 *SBsp2::Alloc(void) { return (SBsp2 *)AllocTemporary(sizeof(SBsp2)); }
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SBsp3 *SBsp3::Alloc(void) { return (SBsp3 *)AllocTemporary(sizeof(SBsp3)); }
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SBsp3 *SBsp3::FromMesh(SMesh *m) {
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SBsp3 *bsp3 = NULL;
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int i;
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SMesh mc; ZERO(&mc);
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for(i = 0; i < m->l.n; i++) {
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mc.AddTriangle(&(m->l.elem[i]));
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}
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srand(0); // Let's be deterministic, at least!
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int n = mc.l.n;
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while(n > 1) {
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int k = rand() % n;
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n--;
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SWAP(STriangle, mc.l.elem[k], mc.l.elem[n]);
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}
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for(i = 0; i < mc.l.n; i++) {
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bsp3 = bsp3->Insert(&(mc.l.elem[i]), NULL);
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}
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mc.Clear();
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return bsp3;
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}
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Vector SBsp3::IntersectionWith(Vector a, Vector b) {
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double da = a.Dot(n) - d;
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double db = b.Dot(n) - d;
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if(da*db > 0) oops();
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double dab = (db - da);
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return (a.ScaledBy(db/dab)).Plus(b.ScaledBy(-da/dab));
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}
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void SBsp3::InsertInPlane(bool pos2, STriangle *tr, SMesh *m) {
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Vector tc = ((tr->a).Plus(tr->b).Plus(tr->c)).ScaledBy(1.0/3);
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bool onFace = false;
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bool sameNormal;
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double maxNormalMag = -1;
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Vector lln, trn = tr->Normal();
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SBsp3 *ll = this;
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while(ll) {
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if((ll->tri).ContainsPoint(tc)) {
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onFace = true;
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// If the mesh contains almost-zero-area triangles, and we're
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// just on the edge of one of those, then don't trust its normal.
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lln = (ll->tri).Normal();
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if(lln.Magnitude() > maxNormalMag) {
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sameNormal = trn.Dot(lln) > 0;
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maxNormalMag = lln.Magnitude();
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}
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}
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ll = ll->more;
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}
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if(m->flipNormal && ((!pos2 && !onFace) ||
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(onFace && !sameNormal && m->keepCoplanar)))
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{
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m->AddTriangle(tr->meta, tr->c, tr->b, tr->a);
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} else if(!(m->flipNormal) && ((pos2 && !onFace) ||
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(onFace && sameNormal && m->keepCoplanar)))
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{
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m->AddTriangle(tr->meta, tr->a, tr->b, tr->c);
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} else {
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m->atLeastOneDiscarded = true;
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}
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}
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void SBsp3::InsertHow(int how, STriangle *tr, SMesh *instead) {
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switch(how) {
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case POS:
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if(instead && !pos) goto alt;
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pos = pos->Insert(tr, instead);
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break;
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case NEG:
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if(instead && !neg) goto alt;
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neg = neg->Insert(tr, instead);
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break;
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case COPLANAR: {
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if(instead) goto alt;
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SBsp3 *m = Alloc();
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m->n = n;
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m->d = d;
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m->tri = *tr;
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m->more = more;
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more = m;
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break;
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}
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default: oops();
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}
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return;
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alt:
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if(how == POS && !(instead->flipNormal)) {
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instead->AddTriangle(tr->meta, tr->a, tr->b, tr->c);
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} else if(how == NEG && instead->flipNormal) {
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instead->AddTriangle(tr->meta, tr->c, tr->b, tr->a);
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} else if(how == COPLANAR) {
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if(edges) {
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edges->InsertTriangle(tr, instead, this);
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} else {
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// I suppose this actually is allowed to happen, if the coplanar
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// face is the leaf, and all of its neighbors are earlier in tree?
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InsertInPlane(false, tr, instead);
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}
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} else {
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instead->atLeastOneDiscarded = true;
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}
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}
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void SBsp3::InsertConvexHow(int how, STriMeta meta, Vector *vertex, int n,
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SMesh *instead)
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{
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switch(how) {
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case POS:
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if(pos) {
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pos = pos->InsertConvex(meta, vertex, n, instead);
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return;
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}
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break;
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case NEG:
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if(neg) {
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neg = neg->InsertConvex(meta, vertex, n, instead);
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return;
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}
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break;
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default: oops();
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}
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int i;
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for(i = 0; i < n - 2; i++) {
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STriangle tr = STriangle::From(meta,
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vertex[0], vertex[i+1], vertex[i+2]);
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InsertHow(how, &tr, instead);
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}
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}
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SBsp3 *SBsp3::InsertConvex(STriMeta meta, Vector *vertex, int cnt,
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SMesh *instead)
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{
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Vector e01 = (vertex[1]).Minus(vertex[0]);
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Vector e12 = (vertex[2]).Minus(vertex[1]);
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Vector out = e01.Cross(e12);
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#define MAX_VERTICES 50
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if(cnt+1 >= MAX_VERTICES) goto triangulate;
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int i;
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Vector on[2];
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bool isPos[MAX_VERTICES];
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bool isNeg[MAX_VERTICES];
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bool isOn[MAX_VERTICES];
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int posc = 0, negc = 0, onc = 0;
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for(i = 0; i < cnt; i++) {
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double dt = n.Dot(vertex[i]);
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isPos[i] = isNeg[i] = isOn[i] = false;
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if(fabs(dt - d) < LENGTH_EPS) {
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isOn[i] = true;
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if(onc < 2) {
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on[onc] = vertex[i];
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}
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onc++;
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} else if(dt > d) {
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isPos[i] = true;
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posc++;
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} else {
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isNeg[i] = true;
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negc++;
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}
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}
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if(onc != 2 && onc != 1 && onc != 0) goto triangulate;
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if(onc == 2) {
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if(!instead) {
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SEdge se = SEdge::From(on[0], on[1]);
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edges = edges->InsertEdge(&se, n, out);
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}
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}
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if(posc == 0) {
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InsertConvexHow(NEG, meta, vertex, cnt, instead);
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return this;
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}
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if(negc == 0) {
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InsertConvexHow(POS, meta, vertex, cnt, instead);
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return this;
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}
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Vector vpos[MAX_VERTICES];
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Vector vneg[MAX_VERTICES];
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int npos = 0, nneg = 0;
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Vector inter[2];
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int inters = 0;
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for(i = 0; i < cnt; i++) {
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int ip = WRAP((i + 1), cnt);
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if(isPos[i]) {
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vpos[npos++] = vertex[i];
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}
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if(isNeg[i]) {
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vneg[nneg++] = vertex[i];
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}
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if(isOn[i]) {
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vneg[nneg++] = vertex[i];
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vpos[npos++] = vertex[i];
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}
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if((isPos[i] && isNeg[ip]) || (isNeg[i] && isPos[ip])) {
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Vector vi = IntersectionWith(vertex[i], vertex[ip]);
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vpos[npos++] = vi;
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vneg[nneg++] = vi;
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if(inters >= 2) oops();
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inter[inters++] = vi;
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}
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}
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if(npos > cnt + 1 || nneg > cnt + 1) oops();
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if(!instead) {
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if(inters == 2) {
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SEdge se = SEdge::From(inter[0], inter[1]);
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edges = edges->InsertEdge(&se, n, out);
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} else if(inters == 1 && onc == 1) {
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SEdge se = SEdge::From(inter[0], on[0]);
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edges = edges->InsertEdge(&se, n, out);
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} else if(inters == 0 && onc == 2) {
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// We already handled this on-plane existing edge
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} else oops();
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}
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if(nneg < 3 || npos < 3) oops();
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InsertConvexHow(NEG, meta, vneg, nneg, instead);
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InsertConvexHow(POS, meta, vpos, npos, instead);
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return this;
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triangulate:
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// We don't handle the special case for this; do it as triangles
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SBsp3 *r = this;
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for(i = 0; i < cnt - 2; i++) {
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STriangle tr = STriangle::From(meta,
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vertex[0], vertex[i+1], vertex[i+2]);
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r = r->Insert(&tr, instead);
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}
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return r;
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}
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SBsp3 *SBsp3::Insert(STriangle *tr, SMesh *instead) {
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if(!this) {
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if(instead) {
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if(instead->flipNormal) {
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instead->atLeastOneDiscarded = true;
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} else {
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instead->AddTriangle(tr->meta, tr->a, tr->b, tr->c);
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}
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return NULL;
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}
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// Brand new node; so allocate for it, and fill us in.
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SBsp3 *r = Alloc();
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r->n = (tr->Normal()).WithMagnitude(1);
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r->d = (tr->a).Dot(r->n);
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r->tri = *tr;
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return r;
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}
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double dt[3] = { (tr->a).Dot(n), (tr->b).Dot(n), (tr->c).Dot(n) };
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int inc = 0, posc = 0, negc = 0;
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bool isPos[3], isNeg[3], isOn[3];
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ZERO(&isPos); ZERO(&isNeg); ZERO(&isOn);
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// Count vertices in the plane
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for(int i = 0; i < 3; i++) {
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if(fabs(dt[i] - d) < LENGTH_EPS) {
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inc++;
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isOn[i] = true;
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} else if(dt[i] > d) {
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posc++;
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isPos[i] = true;
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} else {
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negc++;
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isNeg[i] = true;
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}
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}
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// All vertices in-plane
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if(inc == 3) {
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InsertHow(COPLANAR, tr, instead);
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return this;
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}
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// No split required
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if(posc == 0 || negc == 0) {
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if(inc == 2) {
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Vector a, b;
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if (!isOn[0]) { a = tr->b; b = tr->c; }
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else if(!isOn[1]) { a = tr->c; b = tr->a; }
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else if(!isOn[2]) { a = tr->a; b = tr->b; }
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else oops();
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if(!instead) {
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SEdge se = SEdge::From(a, b);
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edges = edges->InsertEdge(&se, n, tr->Normal());
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}
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}
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if(posc > 0) {
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InsertHow(POS, tr, instead);
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} else {
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InsertHow(NEG, tr, instead);
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}
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return this;
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}
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// The polygon must be split into two pieces, one above, one below.
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Vector a, b, c;
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if(posc == 1 && negc == 1 && inc == 1) {
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bool bpos;
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// Standardize so that a is on the plane
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if (isOn[0]) { a = tr->a; b = tr->b; c = tr->c; bpos = isPos[1];
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} else if(isOn[1]) { a = tr->b; b = tr->c; c = tr->a; bpos = isPos[2];
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} else if(isOn[2]) { a = tr->c; b = tr->a; c = tr->b; bpos = isPos[0];
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} else oops();
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Vector bPc = IntersectionWith(b, c);
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STriangle btri = STriangle::From(tr->meta, a, b, bPc);
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STriangle ctri = STriangle::From(tr->meta, c, a, bPc);
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if(bpos) {
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InsertHow(POS, &btri, instead);
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InsertHow(NEG, &ctri, instead);
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} else {
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InsertHow(POS, &ctri, instead);
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InsertHow(NEG, &btri, instead);
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}
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if(!instead) {
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SEdge se = SEdge::From(a, bPc);
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edges = edges->InsertEdge(&se, n, tr->Normal());
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}
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return this;
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}
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if(posc == 2 && negc == 1) {
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// Standardize so that a is on one side, and b and c are on the other.
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if (isNeg[0]) { a = tr->a; b = tr->b; c = tr->c;
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} else if(isNeg[1]) { a = tr->b; b = tr->c; c = tr->a;
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} else if(isNeg[2]) { a = tr->c; b = tr->a; c = tr->b;
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} else oops();
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} else if(posc == 1 && negc == 2) {
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if (isPos[0]) { a = tr->a; b = tr->b; c = tr->c;
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} else if(isPos[1]) { a = tr->b; b = tr->c; c = tr->a;
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} else if(isPos[2]) { a = tr->c; b = tr->a; c = tr->b;
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} else oops();
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} else oops();
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Vector aPb = IntersectionWith(a, b);
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Vector cPa = IntersectionWith(c, a);
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STriangle alone = STriangle::From(tr->meta, a, aPb, cPa);
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Vector quad[4] = { aPb, b, c, cPa };
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if(posc == 2 && negc == 1) {
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InsertConvexHow(POS, tr->meta, quad, 4, instead);
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InsertHow(NEG, &alone, instead);
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} else {
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InsertConvexHow(NEG, tr->meta, quad, 4, instead);
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InsertHow(POS, &alone, instead);
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}
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if(!instead) {
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SEdge se = SEdge::From(aPb, cPa);
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edges = edges->InsertEdge(&se, n, alone.Normal());
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}
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return this;
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}
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void SBsp3::DebugDraw(void) {
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if(!this) return;
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pos->DebugDraw();
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Vector norm = tri.Normal();
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glNormal3d(norm.x, norm.y, norm.z);
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glEnable(GL_DEPTH_TEST);
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glEnable(GL_LIGHTING);
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glBegin(GL_TRIANGLES);
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glxVertex3v(tri.a);
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glxVertex3v(tri.b);
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glxVertex3v(tri.c);
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glEnd();
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glDisable(GL_LIGHTING);
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glPolygonMode(GL_FRONT_AND_BACK, GL_LINE);
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glxDepthRangeOffset(2);
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glBegin(GL_TRIANGLES);
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glxVertex3v(tri.a);
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glxVertex3v(tri.b);
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glxVertex3v(tri.c);
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glEnd();
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glDisable(GL_LIGHTING);
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glPolygonMode(GL_FRONT_AND_BACK, GL_POINT);
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glPointSize(10);
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glxDepthRangeOffset(2);
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glBegin(GL_TRIANGLES);
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glxVertex3v(tri.a);
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glxVertex3v(tri.b);
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glxVertex3v(tri.c);
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glEnd();
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glxDepthRangeOffset(0);
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glPolygonMode(GL_FRONT_AND_BACK, GL_FILL);
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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);
|
||
|
}
|
||
|
|