| 1 | /* $Id$ $Revision$ */ |
| 2 | /* vim:set shiftwidth=4 ts=8: */ |
| 3 | |
| 4 | /************************************************************************* |
| 5 | * Copyright (c) 2011 AT&T Intellectual Property |
| 6 | * All rights reserved. This program and the accompanying materials |
| 7 | * are made available under the terms of the Eclipse Public License v1.0 |
| 8 | * which accompanies this distribution, and is available at |
| 9 | * http://www.eclipse.org/legal/epl-v10.html |
| 10 | * |
| 11 | * Contributors: See CVS logs. Details at http://www.graphviz.org/ |
| 12 | *************************************************************************/ |
| 13 | |
| 14 | #include "mem.h" |
| 15 | #include "hedges.h" |
| 16 | #include "render.h" |
| 17 | |
| 18 | |
| 19 | #define DELETED -2 |
| 20 | |
| 21 | Halfedge *ELleftend, *ELrightend; |
| 22 | |
| 23 | static Freelist hfl; |
| 24 | static int ELhashsize; |
| 25 | static Halfedge **ELhash; |
| 26 | static int ntry, totalsearch; |
| 27 | |
| 28 | void ELcleanup() |
| 29 | { |
| 30 | freeinit(&hfl, sizeof **ELhash); |
| 31 | free(ELhash); |
| 32 | ELhash = NULL; |
| 33 | } |
| 34 | |
| 35 | void ELinitialize() |
| 36 | { |
| 37 | int i; |
| 38 | |
| 39 | freeinit(&hfl, sizeof **ELhash); |
| 40 | ELhashsize = 2 * sqrt_nsites; |
| 41 | if (ELhash == NULL) |
| 42 | ELhash = N_GNEW(ELhashsize, Halfedge *); |
| 43 | for (i = 0; i < ELhashsize; i += 1) |
| 44 | ELhash[i] = (Halfedge *) NULL; |
| 45 | ELleftend = HEcreate((Edge *) NULL, 0); |
| 46 | ELrightend = HEcreate((Edge *) NULL, 0); |
| 47 | ELleftend->ELleft = (Halfedge *) NULL; |
| 48 | ELleftend->ELright = ELrightend; |
| 49 | ELrightend->ELleft = ELleftend; |
| 50 | ELrightend->ELright = (Halfedge *) NULL; |
| 51 | ELhash[0] = ELleftend; |
| 52 | ELhash[ELhashsize - 1] = ELrightend; |
| 53 | } |
| 54 | |
| 55 | |
| 56 | Site *hintersect(Halfedge * el1, Halfedge * el2) |
| 57 | { |
| 58 | Edge *e1, *e2, *e; |
| 59 | Halfedge *el; |
| 60 | double d, xint, yint; |
| 61 | int right_of_site; |
| 62 | Site *v; |
| 63 | |
| 64 | e1 = el1->ELedge; |
| 65 | e2 = el2->ELedge; |
| 66 | if (e1 == (Edge *) NULL || e2 == (Edge *) NULL) |
| 67 | return ((Site *) NULL); |
| 68 | if (e1->reg[1] == e2->reg[1]) |
| 69 | return ((Site *) NULL); |
| 70 | |
| 71 | d = e1->a * e2->b - e1->b * e2->a; |
| 72 | if (-1.0e-10 < d && d < 1.0e-10) |
| 73 | return ((Site *) NULL); |
| 74 | |
| 75 | xint = (e1->c * e2->b - e2->c * e1->b) / d; |
| 76 | yint = (e2->c * e1->a - e1->c * e2->a) / d; |
| 77 | |
| 78 | if ((e1->reg[1]->coord.y < e2->reg[1]->coord.y) || |
| 79 | (e1->reg[1]->coord.y == e2->reg[1]->coord.y && |
| 80 | e1->reg[1]->coord.x < e2->reg[1]->coord.x)) { |
| 81 | el = el1; |
| 82 | e = e1; |
| 83 | } else { |
| 84 | el = el2; |
| 85 | e = e2; |
| 86 | }; |
| 87 | right_of_site = xint >= e->reg[1]->coord.x; |
| 88 | if ((right_of_site && el->ELpm == le) || |
| 89 | (!right_of_site && el->ELpm == re)) |
| 90 | return ((Site *) NULL); |
| 91 | |
| 92 | v = getsite(); |
| 93 | v->refcnt = 0; |
| 94 | v->coord.x = xint; |
| 95 | v->coord.y = yint; |
| 96 | return (v); |
| 97 | } |
| 98 | |
| 99 | /* returns 1 if p is to right of halfedge e */ |
| 100 | int right_of(Halfedge * el, Point * p) |
| 101 | { |
| 102 | Edge *e; |
| 103 | Site *topsite; |
| 104 | int right_of_site, above, fast; |
| 105 | double dxp, dyp, dxs, t1, t2, t3, yl; |
| 106 | |
| 107 | e = el->ELedge; |
| 108 | topsite = e->reg[1]; |
| 109 | right_of_site = p->x > topsite->coord.x; |
| 110 | if (right_of_site && el->ELpm == le) |
| 111 | return (1); |
| 112 | if (!right_of_site && el->ELpm == re) |
| 113 | return (0); |
| 114 | |
| 115 | if (e->a == 1.0) { |
| 116 | dyp = p->y - topsite->coord.y; |
| 117 | dxp = p->x - topsite->coord.x; |
| 118 | fast = 0; |
| 119 | if ((!right_of_site & (e->b < 0.0)) | |
| 120 | (right_of_site & (e->b >= 0.0))) { |
| 121 | above = dyp >= e->b * dxp; |
| 122 | fast = above; |
| 123 | } else { |
| 124 | above = p->x + p->y * e->b > e->c; |
| 125 | if (e->b < 0.0) |
| 126 | above = !above; |
| 127 | if (!above) |
| 128 | fast = 1; |
| 129 | }; |
| 130 | if (!fast) { |
| 131 | dxs = topsite->coord.x - (e->reg[0])->coord.x; |
| 132 | above = e->b * (dxp * dxp - dyp * dyp) < |
| 133 | dxs * dyp * (1.0 + 2.0 * dxp / dxs + e->b * e->b); |
| 134 | if (e->b < 0.0) |
| 135 | above = !above; |
| 136 | }; |
| 137 | } else { /*e->b==1.0 */ |
| 138 | yl = e->c - e->a * p->x; |
| 139 | t1 = p->y - yl; |
| 140 | t2 = p->x - topsite->coord.x; |
| 141 | t3 = yl - topsite->coord.y; |
| 142 | above = t1 * t1 > t2 * t2 + t3 * t3; |
| 143 | }; |
| 144 | return (el->ELpm == le ? above : !above); |
| 145 | } |
| 146 | |
| 147 | Halfedge *HEcreate(Edge * e, char pm) |
| 148 | { |
| 149 | Halfedge *answer; |
| 150 | answer = (Halfedge *) getfree(&hfl); |
| 151 | answer->ELedge = e; |
| 152 | answer->ELpm = pm; |
| 153 | answer->PQnext = (Halfedge *) NULL; |
| 154 | answer->vertex = (Site *) NULL; |
| 155 | answer->ELrefcnt = 0; |
| 156 | return (answer); |
| 157 | } |
| 158 | |
| 159 | |
| 160 | void ELinsert(Halfedge * lb, Halfedge * new) |
| 161 | { |
| 162 | new->ELleft = lb; |
| 163 | new->ELright = lb->ELright; |
| 164 | (lb->ELright)->ELleft = new; |
| 165 | lb->ELright = new; |
| 166 | } |
| 167 | |
| 168 | /* Get entry from hash table, pruning any deleted nodes */ |
| 169 | static Halfedge *ELgethash(int b) |
| 170 | { |
| 171 | Halfedge *he; |
| 172 | |
| 173 | if (b < 0 || b >= ELhashsize) |
| 174 | return ((Halfedge *) NULL); |
| 175 | he = ELhash[b]; |
| 176 | if (he == (Halfedge *) NULL || he->ELedge != (Edge *) DELETED) |
| 177 | return (he); |
| 178 | |
| 179 | /* Hash table points to deleted half edge. Patch as necessary. */ |
| 180 | ELhash[b] = (Halfedge *) NULL; |
| 181 | if ((he->ELrefcnt -= 1) == 0) |
| 182 | makefree(he, &hfl); |
| 183 | return ((Halfedge *) NULL); |
| 184 | } |
| 185 | |
| 186 | Halfedge *ELleftbnd(Point * p) |
| 187 | { |
| 188 | int i, bucket; |
| 189 | Halfedge *he; |
| 190 | |
| 191 | /* Use hash table to get close to desired halfedge */ |
| 192 | bucket = (p->x - xmin) / deltax * ELhashsize; |
| 193 | if (bucket < 0) |
| 194 | bucket = 0; |
| 195 | if (bucket >= ELhashsize) |
| 196 | bucket = ELhashsize - 1; |
| 197 | he = ELgethash(bucket); |
| 198 | if (he == (Halfedge *) NULL) { |
| 199 | for (i = 1; 1; i += 1) { |
| 200 | if ((he = ELgethash(bucket - i)) != (Halfedge *) NULL) |
| 201 | break; |
| 202 | if ((he = ELgethash(bucket + i)) != (Halfedge *) NULL) |
| 203 | break; |
| 204 | }; |
| 205 | totalsearch += i; |
| 206 | }; |
| 207 | ntry += 1; |
| 208 | /* Now search linear list of halfedges for the corect one */ |
| 209 | if (he == ELleftend || (he != ELrightend && right_of(he, p))) { |
| 210 | do { |
| 211 | he = he->ELright; |
| 212 | } while (he != ELrightend && right_of(he, p)); |
| 213 | he = he->ELleft; |
| 214 | } else |
| 215 | do { |
| 216 | he = he->ELleft; |
| 217 | } while (he != ELleftend && !right_of(he, p)); |
| 218 | |
| 219 | /* Update hash table and reference counts */ |
| 220 | if (bucket > 0 && bucket < ELhashsize - 1) { |
| 221 | if (ELhash[bucket] != (Halfedge *) NULL) |
| 222 | ELhash[bucket]->ELrefcnt -= 1; |
| 223 | ELhash[bucket] = he; |
| 224 | ELhash[bucket]->ELrefcnt += 1; |
| 225 | }; |
| 226 | return (he); |
| 227 | } |
| 228 | |
| 229 | |
| 230 | /* This delete routine can't reclaim node, since pointers from hash |
| 231 | table may be present. */ |
| 232 | void ELdelete(Halfedge * he) |
| 233 | { |
| 234 | (he->ELleft)->ELright = he->ELright; |
| 235 | (he->ELright)->ELleft = he->ELleft; |
| 236 | he->ELedge = (Edge *) DELETED; |
| 237 | } |
| 238 | |
| 239 | |
| 240 | Halfedge *ELright(Halfedge * he) |
| 241 | { |
| 242 | return (he->ELright); |
| 243 | } |
| 244 | |
| 245 | Halfedge *ELleft(Halfedge * he) |
| 246 | { |
| 247 | return (he->ELleft); |
| 248 | } |
| 249 | |
| 250 | |
| 251 | Site *leftreg(Halfedge * he) |
| 252 | { |
| 253 | if (he->ELedge == (Edge *) NULL) |
| 254 | return (bottomsite); |
| 255 | return (he->ELpm == le ? he->ELedge->reg[le] : he->ELedge->reg[re]); |
| 256 | } |
| 257 | |
| 258 | Site *rightreg(Halfedge * he) |
| 259 | { |
| 260 | if (he->ELedge == (Edge *) NULL) |
| 261 | return (bottomsite); |
| 262 | return (he->ELpm == le ? he->ELedge->reg[re] : he->ELedge->reg[le]); |
| 263 | } |
| 264 | |