#include "cmdlib.h" #include "mathlib.h" #include "polylib.h" #include "qfiles.h" //for min_world_coord extern int numthreads; // counters are only bumped when running single threaded, // because they are an awefull coherence problem int c_active_windings; int c_peak_windings; int c_winding_allocs; int c_winding_points; void pw(winding_t *w) { int i; for (i=0 ; inumpoints ; i++) printf ("(%5.1f, %5.1f, %5.1f)\n",w->p[i][0], w->p[i][1],w->p[i][2]); } /* ============= AllocWinding ============= */ winding_t *AllocWinding (int points) { winding_t *w; int s; if (numthreads == 1) { c_winding_allocs++; c_winding_points += points; c_active_windings++; if (c_active_windings > c_peak_windings) c_peak_windings = c_active_windings; } s = sizeof(vec_t)*3*points + sizeof(int); w = malloc (s); if(!w) { Error ("AllocWinding: failed to allocate winding"); } memset (w, 0, s); return w; } void FreeWinding (winding_t *w) { if (*(unsigned *)w == 0xdeaddead) Error ("FreeWinding: freed a freed winding"); *(unsigned *)w = 0xdeaddead; if (numthreads == 1) c_active_windings--; free (w); } /* ============ RemoveColinearPoints ============ */ int c_removed; void RemoveColinearPoints (winding_t *w) { int i, j, k; vec3_t v1, v2; int nump; vec3_t p[MAX_POINTS_ON_WINDING]; nump = 0; for (i=0 ; inumpoints ; i++) { j = (i+1)%w->numpoints; k = (i+w->numpoints-1)%w->numpoints; VectorSubtract (w->p[j], w->p[i], v1); VectorSubtract (w->p[i], w->p[k], v2); VectorNormalize(v1,v1); VectorNormalize(v2,v2); if (DotProduct(v1, v2) < 0.999) { VectorCopy (w->p[i], p[nump]); nump++; } } if (nump == w->numpoints) return; if (numthreads == 1) c_removed += w->numpoints - nump; w->numpoints = nump; memcpy (w->p, p, nump*sizeof(p[0])); } /* ============ WindingPlane ============ */ void WindingPlane (winding_t *w, vec3_t normal, vec_t *dist) { vec3_t v1, v2; VectorSubtract (w->p[1], w->p[0], v1); VectorSubtract (w->p[2], w->p[0], v2); CrossProduct (v2, v1, normal); VectorNormalize (normal, normal); *dist = DotProduct (w->p[0], normal); } /* ============= WindingArea ============= */ vec_t WindingArea (winding_t *w) { int i; vec3_t d1, d2, cross; vec_t total; total = 0; for (i=2 ; inumpoints ; i++) { VectorSubtract (w->p[i-1], w->p[0], d1); VectorSubtract (w->p[i], w->p[0], d2); CrossProduct (d1, d2, cross); total += 0.5 * VectorLength ( cross ); } return total; } void WindingBounds (winding_t *w, vec3_t mins, vec3_t maxs) { vec_t v; int i,j; mins[0] = mins[1] = mins[2] = 99999; maxs[0] = maxs[1] = maxs[2] = -99999; for (i=0 ; inumpoints ; i++) { for (j=0 ; j<3 ; j++) { v = w->p[i][j]; if (v < mins[j]) mins[j] = v; if (v > maxs[j]) maxs[j] = v; } } } /* ============= WindingCenter ============= */ void WindingCenter (winding_t *w, vec3_t center) { int i; float scale; VectorCopy (vec3_origin, center); for (i=0 ; inumpoints ; i++) VectorAdd (w->p[i], center, center); scale = 1.0/w->numpoints; VectorScale (center, scale, center); } /* ================= BaseWindingForPlane ================= */ winding_t *BaseWindingForPlane (vec3_t normal, vec_t dist) { int i, x; vec_t max, v; vec3_t org, vright, vup; winding_t *w; // find the major axis max = MIN_WORLD_COORD; x = -1; for (i=0 ; i<3; i++) { v = fabs(normal[i]); if (v > max) { x = i; max = v; } } if (x==-1) Error ("BaseWindingForPlane: no axis found"); VectorCopy (vec3_origin, vup); switch (x) { case 0: case 1: vup[2] = 1; break; case 2: vup[0] = 1; break; } v = DotProduct (vup, normal); VectorMA (vup, -v, normal, vup); VectorNormalize (vup, vup); VectorScale (normal, dist, org); CrossProduct (vup, normal, vright); VectorScale (vup, 8192, vup); VectorScale (vright, 8192, vright); // project a really big axis aligned box onto the plane w = AllocWinding (4); VectorSubtract (org, vright, w->p[0]); VectorAdd (w->p[0], vup, w->p[0]); VectorAdd (org, vright, w->p[1]); VectorAdd (w->p[1], vup, w->p[1]); VectorAdd (org, vright, w->p[2]); VectorSubtract (w->p[2], vup, w->p[2]); VectorSubtract (org, vright, w->p[3]); VectorSubtract (w->p[3], vup, w->p[3]); w->numpoints = 4; return w; } /* ================== CopyWinding ================== */ winding_t *CopyWinding (winding_t *w) { int size; winding_t *c; c = AllocWinding (w->numpoints); size = (int)((winding_t *)0)->p[w->numpoints]; memcpy (c, w, size); return c; } /* ================== ReverseWinding ================== */ winding_t *ReverseWinding (winding_t *w) { int i; winding_t *c; c = AllocWinding (w->numpoints); for (i=0 ; inumpoints ; i++) { VectorCopy (w->p[w->numpoints-1-i], c->p[i]); } c->numpoints = w->numpoints; return c; } /* ============= ClipWindingEpsilon ============= */ void ClipWindingEpsilon (winding_t *in, vec3_t normal, vec_t dist, vec_t epsilon, winding_t **front, winding_t **back) { vec_t dists[MAX_POINTS_ON_WINDING+4]; int sides[MAX_POINTS_ON_WINDING+4]; int counts[3]; static vec_t dot; // VC 4.2 optimizer bug if not static int i, j; vec_t *p1, *p2; vec3_t mid; winding_t *f, *b; int maxpts; counts[0] = counts[1] = counts[2] = 0; if (in->numpoints > MAX_POINTS_ON_WINDING) { Error ("ClipWindingEpsilon: %d > MAX_POINTS_ON_WINDING (%d)\nSample points: (%5.2f %5.2f %5.2f) (%5.2f %5.2f %5.2f) (%5.2f %5.2f %5.2f)", in->numpoints,MAX_POINTS_ON_WINDING, in->p[0][0],in->p[0][1],in->p[0][2], in->p[10][0],in->p[10][1],in->p[10][2], in->p[20][0],in->p[20][1],in->p[20][2]); } // determine sides for each point for (i=0 ; inumpoints ; i++) { dot = DotProduct (in->p[i], normal); dot -= dist; dists[i] = dot; if (dot > epsilon) sides[i] = SIDE_FRONT; else if (dot < -epsilon) sides[i] = SIDE_BACK; else { sides[i] = SIDE_ON; } counts[sides[i]]++; } sides[i] = sides[0]; dists[i] = dists[0]; *front = *back = NULL; if (!counts[0]) { *back = CopyWinding (in); return; } if (!counts[1]) { *front = CopyWinding (in); return; } maxpts = in->numpoints+4; // cant use counts[0]+2 because // of fp grouping errors *front = f = AllocWinding (maxpts); *back = b = AllocWinding (maxpts); for (i=0 ; inumpoints ; i++) { p1 = in->p[i]; if (sides[i] == SIDE_ON) { VectorCopy (p1, f->p[f->numpoints]); f->numpoints++; VectorCopy (p1, b->p[b->numpoints]); b->numpoints++; continue; } if (sides[i] == SIDE_FRONT) { VectorCopy (p1, f->p[f->numpoints]); f->numpoints++; } if (sides[i] == SIDE_BACK) { VectorCopy (p1, b->p[b->numpoints]); b->numpoints++; } if (sides[i+1] == SIDE_ON || sides[i+1] == sides[i]) continue; // generate a split point p2 = in->p[(i+1)%in->numpoints]; dot = dists[i] / (dists[i]-dists[i+1]); for (j=0 ; j<3 ; j++) { // avoid round off error when possible if (normal[j] == 1) mid[j] = dist; else if (normal[j] == -1) mid[j] = -dist; else mid[j] = p1[j] + dot*(p2[j]-p1[j]); } VectorCopy (mid, f->p[f->numpoints]); f->numpoints++; VectorCopy (mid, b->p[b->numpoints]); b->numpoints++; } if (f->numpoints > maxpts || b->numpoints > maxpts) Error ("ClipWinding: points exceeded estimate"); if (f->numpoints > MAX_POINTS_ON_WINDING || b->numpoints > MAX_POINTS_ON_WINDING) Error ("ClipWinding: MAX_POINTS_ON_WINDING"); } /* ============= ChopWindingInPlace ============= */ void ChopWindingInPlace (winding_t **inout, vec3_t normal, vec_t dist, vec_t epsilon) { winding_t *in; vec_t dists[MAX_POINTS_ON_WINDING+4]; int sides[MAX_POINTS_ON_WINDING+4]; int counts[3]; static vec_t dot; // VC 4.2 optimizer bug if not static int i, j; vec_t *p1, *p2; vec3_t mid; winding_t *f; int maxpts; in = *inout; counts[0] = counts[1] = counts[2] = 0; // determine sides for each point for (i=0 ; inumpoints ; i++) { dot = DotProduct (in->p[i], normal); dot -= dist; dists[i] = dot; if (dot > epsilon) sides[i] = SIDE_FRONT; else if (dot < -epsilon) sides[i] = SIDE_BACK; else { sides[i] = SIDE_ON; } counts[sides[i]]++; } sides[i] = sides[0]; dists[i] = dists[0]; if (!counts[0]) { FreeWinding (in); *inout = NULL; return; } if (!counts[1]) return; // inout stays the same maxpts = in->numpoints+4; // cant use counts[0]+2 because // of fp grouping errors f = AllocWinding (maxpts); for (i=0 ; inumpoints ; i++) { p1 = in->p[i]; if (sides[i] == SIDE_ON) { VectorCopy (p1, f->p[f->numpoints]); f->numpoints++; continue; } if (sides[i] == SIDE_FRONT) { VectorCopy (p1, f->p[f->numpoints]); f->numpoints++; } if (sides[i+1] == SIDE_ON || sides[i+1] == sides[i]) continue; // generate a split point p2 = in->p[(i+1)%in->numpoints]; dot = dists[i] / (dists[i]-dists[i+1]); for (j=0 ; j<3 ; j++) { // avoid round off error when possible if (normal[j] == 1) mid[j] = dist; else if (normal[j] == -1) mid[j] = -dist; else mid[j] = p1[j] + dot*(p2[j]-p1[j]); } VectorCopy (mid, f->p[f->numpoints]); f->numpoints++; } if (f->numpoints > maxpts) Error ("ClipWinding: points exceeded estimate"); if (f->numpoints > MAX_POINTS_ON_WINDING) Error ("ClipWinding: MAX_POINTS_ON_WINDING"); FreeWinding (in); *inout = f; } /* ================= ChopWinding Returns the fragment of in that is on the front side of the cliping plane. The original is freed. ================= */ winding_t *ChopWinding (winding_t *in, vec3_t normal, vec_t dist) { winding_t *f, *b; ClipWindingEpsilon (in, normal, dist, ON_EPSILON, &f, &b); FreeWinding (in); if (b) FreeWinding (b); return f; } /* ================= CheckWinding ================= */ void CheckWinding (winding_t *w) { int i, j; vec_t *p1, *p2; vec_t d, edgedist; vec3_t dir, edgenormal, facenormal; vec_t area; vec_t facedist; if (w->numpoints < 3) Error ("CheckWinding: %i points",w->numpoints); area = WindingArea(w); if (area < 1) Error ("CheckWinding: %f area", area); WindingPlane (w, facenormal, &facedist); for (i=0 ; inumpoints ; i++) { p1 = w->p[i]; for (j=0 ; j<3 ; j++) if (p1[j] > MAX_WORLD_COORD || p1[j] < MIN_WORLD_COORD) Error ("CheckFace: BUGUS_RANGE: %f",p1[j]); j = i+1 == w->numpoints ? 0 : i+1; // check the point is on the face plane d = DotProduct (p1, facenormal) - facedist; if (d < -ON_EPSILON || d > ON_EPSILON) Error ("CheckWinding: point off plane"); // check the edge isnt degenerate p2 = w->p[j]; VectorSubtract (p2, p1, dir); if (VectorLength (dir) < ON_EPSILON) Error ("CheckWinding: degenerate edge"); CrossProduct (facenormal, dir, edgenormal); VectorNormalize (edgenormal, edgenormal); edgedist = DotProduct (p1, edgenormal); edgedist += ON_EPSILON; // all other points must be on front side for (j=0 ; jnumpoints ; j++) { if (j == i) continue; d = DotProduct (w->p[j], edgenormal); if (d > edgedist) Error ("CheckWinding: non-convex"); } } } /* ============ WindingOnPlaneSide ============ */ int WindingOnPlaneSide (winding_t *w, vec3_t normal, vec_t dist) { qboolean front, back; int i; vec_t d; front = qfalse; back = qfalse; for (i=0 ; inumpoints ; i++) { d = DotProduct (w->p[i], normal) - dist; if (d < -ON_EPSILON) { if (front) return SIDE_CROSS; back = qtrue; continue; } if (d > ON_EPSILON) { if (back) return SIDE_CROSS; front = qtrue; continue; } } if (back) return SIDE_BACK; if (front) return SIDE_FRONT; return SIDE_ON; } /* ================= AddWindingToConvexHull Both w and *hull are on the same plane ================= */ #define MAX_HULL_POINTS 128 void AddWindingToConvexHull( winding_t *w, winding_t **hull, vec3_t normal ) { int i, j, k; float *p, *copy; vec3_t dir; float d; int numHullPoints, numNew; vec3_t hullPoints[MAX_HULL_POINTS]; vec3_t newHullPoints[MAX_HULL_POINTS]; vec3_t hullDirs[MAX_HULL_POINTS]; qboolean hullSide[MAX_HULL_POINTS]; qboolean outside; if ( !*hull ) { *hull = CopyWinding( w ); return; } numHullPoints = (*hull)->numpoints; memcpy( hullPoints, (*hull)->p, numHullPoints * sizeof(vec3_t) ); for ( i = 0 ; i < w->numpoints ; i++ ) { p = w->p[i]; // calculate hull side vectors for ( j = 0 ; j < numHullPoints ; j++ ) { k = ( j + 1 ) % numHullPoints; VectorSubtract( hullPoints[k], hullPoints[j], dir ); VectorNormalize( dir, dir ); CrossProduct( normal, dir, hullDirs[j] ); } outside = qfalse; for ( j = 0 ; j < numHullPoints ; j++ ) { VectorSubtract( p, hullPoints[j], dir ); d = DotProduct( dir, hullDirs[j] ); if ( d >= ON_EPSILON ) { outside = qtrue; } if ( d >= -ON_EPSILON ) { hullSide[j] = qtrue; } else { hullSide[j] = qfalse; } } // if the point is effectively inside, do nothing if ( !outside ) { continue; } // find the back side to front side transition for ( j = 0 ; j < numHullPoints ; j++ ) { if ( !hullSide[ j % numHullPoints ] && hullSide[ (j + 1) % numHullPoints ] ) { break; } } if ( j == numHullPoints ) { continue; } // insert the point here VectorCopy( p, newHullPoints[0] ); numNew = 1; // copy over all points that aren't double fronts j = (j+1)%numHullPoints; for ( k = 0 ; k < numHullPoints ; k++ ) { if ( hullSide[ (j+k) % numHullPoints ] && hullSide[ (j+k+1) % numHullPoints ] ) { continue; } copy = hullPoints[ (j+k+1) % numHullPoints ]; VectorCopy( copy, newHullPoints[numNew] ); numNew++; } numHullPoints = numNew; memcpy( hullPoints, newHullPoints, numHullPoints * sizeof(vec3_t) ); } FreeWinding( *hull ); w = AllocWinding( numHullPoints ); w->numpoints = numHullPoints; *hull = w; memcpy( w->p, hullPoints, numHullPoints * sizeof(vec3_t) ); }