//========= Copyright © 1996-2005, Valve Corporation, All rights reserved. ============// // // Purpose: // // $Workfile: $ // $Date: $ // $NoKeywords: $ //=============================================================================// #include "cmdlib.h" #include "mathlib/mathlib.h" #include "polylib.h" #include "worldsize.h" #include "threads.h" #include "tier0/dbg.h" // doesn't seem to need to be here? -- in threads.h //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]); } winding_t *winding_pool[MAX_POINTS_ON_WINDING+4]; /* ============= AllocWinding ============= */ winding_t *AllocWinding (int points) { winding_t *w; 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; } ThreadLock(); if (winding_pool[points]) { w = winding_pool[points]; winding_pool[points] = w->next; } else { w = (winding_t *)malloc(sizeof(*w)); w->p = (Vector *)calloc( points, sizeof(Vector) ); } ThreadUnlock(); w->numpoints = 0; // None are occupied yet even though allocated. w->maxpoints = points; w->next = NULL; return w; } void FreeWinding (winding_t *w) { if (w->numpoints == 0xdeaddead) Error ("FreeWinding: freed a freed winding"); ThreadLock(); w->numpoints = 0xdeaddead; // flag as freed w->next = winding_pool[w->maxpoints]; winding_pool[w->maxpoints] = w; ThreadUnlock(); } /* ============ RemoveColinearPoints ============ */ int c_removed; void RemoveColinearPoints (winding_t *w) { int i, j, k; Vector v1, v2; int nump; Vector 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); VectorNormalize(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, Vector &normal, vec_t *dist) { Vector v1, v2; VectorSubtract (w->p[1], w->p[0], v1); // HACKHACK: Avoid potentially collinear verts if ( w->numpoints > 3 ) { VectorSubtract (w->p[3], w->p[0], v2); } else { VectorSubtract (w->p[2], w->p[0], v2); } CrossProduct (v2, v1, normal); VectorNormalize (normal); *dist = DotProduct (w->p[0], normal); } /* ============= WindingArea ============= */ vec_t WindingArea(winding_t *w) { int i; Vector 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 += VectorLength ( cross ); } return total * 0.5; } void WindingBounds (winding_t *w, Vector &mins, Vector &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, Vector ¢er) { 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); } /* ============= WindingCenter ============= */ vec_t WindingAreaAndBalancePoint( winding_t *w, Vector ¢er ) { int i; Vector d1, d2, cross; vec_t total; VectorCopy (vec3_origin, center); if ( !w ) return 0.0f; 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); float area = VectorLength ( cross ); total += area; // center of triangle, weighed by area VectorMA( center, area / 3.0, w->p[i-1], center ); VectorMA( center, area / 3.0, w->p[i], center ); VectorMA( center, area / 3.0, w->p[0], center ); } if (total) { VectorScale( center, 1.0 / total, center ); } return total * 0.5; } /* ================= BaseWindingForPlane ================= */ winding_t *BaseWindingForPlane (const Vector &normal, vec_t dist) { int i, x; vec_t max, v; Vector org, vright, vup; winding_t *w; // find the major axis max = -1; 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); VectorScale (normal, dist, org); CrossProduct (vup, normal, vright); VectorScale (vup, (MAX_COORD_INTEGER*4), vup); VectorScale (vright, (MAX_COORD_INTEGER*4), 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); c->numpoints = w->numpoints; size = w->numpoints*sizeof(w->p[0]); memcpy (c->p, w->p, 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; } // BUGBUG: Hunt this down - it's causing CSG errors #pragma optimize("g", off) /* ============= ClipWindingEpsilon ============= */ void ClipWindingEpsilon (winding_t *in, const Vector &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]; vec_t dot; int i, j; Vector mid = vec3_origin; winding_t *f, *b; int maxpts; 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]; *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++) { Vector& 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 Vector& 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"); } #pragma optimize("", on) // NOTE: This is identical to ClipWindingEpsilon, but it does a pre/post translation to improve precision void ClipWindingEpsilon_Offset( winding_t *in, const Vector &normal, vec_t dist, vec_t epsilon, winding_t **front, winding_t **back, const Vector &offset ) { TranslateWinding( in, offset ); ClipWindingEpsilon( in, normal, dist+DotProduct(offset,normal), epsilon, front, back ); TranslateWinding( in, -offset ); if ( front && *front ) { TranslateWinding( *front, -offset ); } if ( back && *back ) { TranslateWinding( *back, -offset ); } } void ClassifyWindingEpsilon_Offset( winding_t *in, const Vector &normal, vec_t dist, vec_t epsilon, winding_t **front, winding_t **back, winding_t **on, const Vector &offset) { TranslateWinding( in, offset ); ClassifyWindingEpsilon( in, normal, dist+DotProduct(offset,normal), epsilon, front, back, on ); TranslateWinding( in, -offset ); if ( front && *front ) { TranslateWinding( *front, -offset ); } if ( back && *back ) { TranslateWinding( *back, -offset ); } if ( on && *on ) { TranslateWinding( *on, -offset ); } } /* ============= ClassifyWindingEpsilon ============= */ // This version returns the winding as "on" if all verts lie in the plane void ClassifyWindingEpsilon( winding_t *in, const Vector &normal, vec_t dist, vec_t epsilon, winding_t **front, winding_t **back, winding_t **on) { vec_t dists[MAX_POINTS_ON_WINDING+4]; int sides[MAX_POINTS_ON_WINDING+4]; int counts[3]; vec_t dot; int i, j; Vector mid = vec3_origin; winding_t *f, *b; int maxpts; 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]; *front = *back = *on = NULL; if ( !counts[0] && !counts[1] ) { *on = CopyWinding(in); return; } 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++) { Vector& 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 Vector& 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, const Vector &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]; vec_t dot; int i, j; Vector mid = vec3_origin; 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++) { Vector& 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 Vector& 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, const Vector &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 d, edgedist; Vector 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++) { Vector& p1 = w->p[i]; for (j=0 ; j<3 ; j++) { if (p1[j] > MAX_COORD_INTEGER || p1[j] < MIN_COORD_INTEGER) Error ("CheckFace: out of 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 Vector& p2 = w->p[j]; VectorSubtract (p2, p1, dir); if (VectorLength (dir) < ON_EPSILON) Error ("CheckWinding: degenerate edge"); CrossProduct (facenormal, dir, edgenormal); VectorNormalize (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, const Vector &normal, vec_t dist) { qboolean front, back; int i; vec_t d; front = false; back = false; for (i=0 ; inumpoints ; i++) { d = DotProduct (w->p[i], normal) - dist; if (d < -ON_EPSILON) { if (front) return SIDE_CROSS; back = true; continue; } if (d > ON_EPSILON) { if (back) return SIDE_CROSS; front = true; continue; } } if (back) return SIDE_BACK; if (front) return SIDE_FRONT; return SIDE_ON; } //----------------------------------------------------------------------------- // Purpose: 2d point inside of winding test (assumes the point resides in the // winding plane) //----------------------------------------------------------------------------- bool PointInWinding( const Vector &pt, winding_t *pWinding ) { if( !pWinding ) return false; #if 0 // // NOTE: this will be a quicker way to calculate this, however I don't // know the trick off hand (post dot product tests??) // TODO: look in graphics gems!!!! (cab) // Vector edge1, edge2; for( int ndxPt = 0; ndxPt < pWinding->numpoints; ndxPt++ ) { edge1 = pWinding->p[ndxPt] - pt; edge2 = pWinding->p[(ndxPt+1)%pWinding->numpoints] - pt; VectorNormalize( edge1 ); VectorNormalize( edge2 ); if( edge2.Dot( edge1 ) < 0.0f ) return false; } return true; #else Vector edge, toPt, cross, testCross; // // get the first normal to test // toPt = pt - pWinding->p[0]; edge = pWinding->p[1] - pWinding->p[0]; testCross = edge.Cross( toPt ); VectorNormalize( testCross ); for( int ndxPt = 1; ndxPt < pWinding->numpoints; ndxPt++ ) { toPt = pt - pWinding->p[ndxPt]; edge = pWinding->p[(ndxPt+1)%pWinding->numpoints] - pWinding->p[ndxPt]; cross = edge.Cross( toPt ); VectorNormalize( cross ); if( cross.Dot( testCross ) < 0.0f ) return false; } return true; #endif } void TranslateWinding( winding_t *pWinding, const Vector &offset ) { for ( int i = 0; i < pWinding->numpoints; i++ ) { pWinding->p[i] += offset; } }