/*** * * Copyright (c) 1998, Valve LLC. All rights reserved. * * This product contains software technology licensed from Id * Software, Inc. ("Id Technology"). Id Technology (c) 1996 Id Software, Inc. * All Rights Reserved. * ****/ #include "cmdlib.h" #include "mathlib.h" #include "polylib.h" int c_active_windings; int c_peak_windings; int c_winding_allocs; int c_winding_points; #define BOGUS_RANGE 8192 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; 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); s += sizeof(vec_t) - sizeof(w->numpoints); // padding w = malloc (s); memset (w, 0, s); return w; } void FreeWinding (winding_t *w) { 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); VectorNormalize(v2); if (DotProduct(v1, v2) < 1.0-ON_EPSILON) { VectorCopy (w->p[i], p[nump]); nump++; } } if (nump == w->numpoints) return; 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); *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; vec3_t d1, d2, cross; 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, float dist) { int i, x; vec_t max, v; vec3_t org, vright, vup; winding_t *w; // find the major axis max = -BOGUS_RANGE; 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, 9000, vup); VectorScale (vright, 9000, 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; size = (int)((winding_t *)0)->p[w->numpoints]; c = malloc (size); memcpy (c, w, size); return c; } /* ============= ClipWinding ============= */ void ClipWinding (winding_t *in, vec3_t normal, vec_t dist, 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; vec_t *p1, *p2; vec3_t mid; 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 > ON_EPSILON) sides[i] = SIDE_FRONT; else if (dot < -ON_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; // can't 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"); } /* ============= ClipWindingNoCopy ============= */ void ClipWindingNoCopy (winding_t *in, vec3_t normal, vec_t dist, 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; vec_t *p1, *p2; vec3_t mid; 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 > ON_EPSILON) sides[i] = SIDE_FRONT; else if (dot < -ON_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 = in; return; } if (!counts[1]) { *front = in; return; } maxpts = in->numpoints+4; // can't 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"); } /* ============= ChopWindingNoFree ============= */ winding_t *ChopWindingNoFree (winding_t *in, vec3_t normal, vec_t dist) { vec_t dists[MAX_POINTS_ON_WINDING+4]; int sides[MAX_POINTS_ON_WINDING+4]; int counts[3]; vec_t dot; int i, j; vec_t *p1, *p2; vec3_t mid; winding_t *f; 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 > ON_EPSILON) sides[i] = SIDE_FRONT; else if (dot < -ON_EPSILON) sides[i] = SIDE_BACK; else { sides[i] = SIDE_ON; } counts[sides[i]]++; } sides[i] = sides[0]; dists[i] = dists[0]; if (!counts[0]) return NULL; if (!counts[1]) return in; maxpts = in->numpoints+4; // can't 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"); return 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; ClipWinding (in, normal, dist, &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] > BOGUS_RANGE || p1[j] < -BOGUS_RANGE) 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 isn't degenerate 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, vec3_t 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; }