/* common/polylib.c */ #include #include #include #include #define BOGUS_RANGE 8192 /* * ============= * AllocWinding * ============= */ winding_t * AllocWinding(int points) { winding_t *w; int s; s = sizeof(vec_t) * 3 * points + sizeof(int); w = malloc(s); memset(w, 0, s); return 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; i < w->numpoints; 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; 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(v1, v2, 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; i < w->numpoints; 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; } /* * ============= * 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; i < w->numpoints; 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("%s: no axis found", __func__); 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, 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; size = offsetof(winding_t, 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; i < in->numpoints; 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; i < in->numpoints; 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("%s: points exceeded estimate", __func__); if (f->numpoints > MAX_POINTS_ON_WINDING || b->numpoints > MAX_POINTS_ON_WINDING) Error("%s: MAX_POINTS_ON_WINDING", __func__); } /* * ================= * 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); free(in); if (b) free(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("%s: %i points", __func__, w->numpoints); area = WindingArea(w); if (area < 1) Error("%s: %f area", __func__, area); WindingPlane(w, facenormal, &facedist); for (i = 0; i < w->numpoints; i++) { p1 = w->p[i]; for (j = 0; j < 3; j++) if (p1[j] > BOGUS_RANGE || p1[j] < -BOGUS_RANGE) Error("%s: BUGUS_RANGE: %f", __func__, 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("%s: point off plane", __func__); /* check the edge isn't degenerate */ p2 = w->p[j]; VectorSubtract(p2, p1, dir); if (VectorLength(dir) < ON_EPSILON) Error("%s: degenerate edge", __func__); CrossProduct(facenormal, dir, edgenormal); VectorNormalize(edgenormal); edgedist = DotProduct(p1, edgenormal); edgedist += ON_EPSILON; /* all other points must be on front side */ for (j = 0; j < w->numpoints; j++) { if (j == i) continue; d = DotProduct(w->p[j], edgenormal); if (d > edgedist) Error("%s: non-convex", __func__); } } }