| 1 | /* Copyright (c) 2000, 2010 Oracle and/or its affiliates. All rights reserved. |
| 2 | Copyright (C) 2011 Monty Program Ab. |
| 3 | |
| 4 | This program is free software; you can redistribute it and/or modify |
| 5 | it under the terms of the GNU General Public License as published by |
| 6 | the Free Software Foundation; version 2 of the License. |
| 7 | |
| 8 | This program is distributed in the hope that it will be useful, |
| 9 | but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 10 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 11 | GNU General Public License for more details. |
| 12 | |
| 13 | You should have received a copy of the GNU General Public License |
| 14 | along with this program; if not, write to the Free Software |
| 15 | Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02111-1301 USA */ |
| 16 | |
| 17 | |
| 18 | #include "mariadb.h" |
| 19 | #include <my_sys.h> |
| 20 | #include <m_string.h> |
| 21 | |
| 22 | #ifdef HAVE_SPATIAL |
| 23 | |
| 24 | #include "gcalc_slicescan.h" |
| 25 | |
| 26 | |
| 27 | #define PH_DATA_OFFSET 8 |
| 28 | #define coord_to_float(d) ((double) d) |
| 29 | #define coord_eq(a, b) (a == b) |
| 30 | |
| 31 | typedef int (*sc_compare_func)(const void*, const void*); |
| 32 | |
| 33 | #define LS_LIST_ITEM Gcalc_dyn_list::Item |
| 34 | #define LS_COMPARE_FUNC_DECL sc_compare_func compare, |
| 35 | #define LS_COMPARE_FUNC_CALL(list_el1, list_el2) (*compare)(list_el1, list_el2) |
| 36 | #define LS_NEXT(A) (A)->next |
| 37 | #define LS_SET_NEXT(A,val) (A)->next= val |
| 38 | #define LS_P_NEXT(A) &(A)->next |
| 39 | #define LS_NAME sort_list |
| 40 | #define LS_SCOPE static |
| 41 | #define LS_STRUCT_NAME sort_list_stack_struct |
| 42 | #include "plistsort.c" |
| 43 | |
| 44 | |
| 45 | #define GCALC_COORD_MINUS 0x80000000 |
| 46 | #define FIRST_DIGIT(d) ((d) & 0x7FFFFFFF) |
| 47 | #define GCALC_SIGN(d) ((d) & 0x80000000) |
| 48 | |
| 49 | static Gcalc_scan_iterator::point *eq_sp(const Gcalc_heap::Info *pi) |
| 50 | { |
| 51 | GCALC_DBUG_ASSERT(pi->type == Gcalc_heap::nt_eq_node); |
| 52 | return (Gcalc_scan_iterator::point *) pi->node.eq.data; |
| 53 | } |
| 54 | |
| 55 | |
| 56 | static Gcalc_scan_iterator::intersection_info *i_data(const Gcalc_heap::Info *pi) |
| 57 | { |
| 58 | GCALC_DBUG_ASSERT(pi->type == Gcalc_heap::nt_intersection); |
| 59 | return (Gcalc_scan_iterator::intersection_info *) pi->node.intersection.data; |
| 60 | } |
| 61 | |
| 62 | |
| 63 | #ifndef GCALC_DBUG_OFF |
| 64 | |
| 65 | int gcalc_step_counter= 0; |
| 66 | |
| 67 | void GCALC_DBUG_CHECK_COUNTER() |
| 68 | { |
| 69 | if (++gcalc_step_counter == 0) |
| 70 | GCALC_DBUG_PRINT(("step_counter_0" )); |
| 71 | else |
| 72 | GCALC_DBUG_PRINT(("%d step_counter" , gcalc_step_counter)); |
| 73 | } |
| 74 | |
| 75 | |
| 76 | const char *gcalc_ev_name(int ev) |
| 77 | { |
| 78 | switch (ev) |
| 79 | { |
| 80 | case scev_none: |
| 81 | return "n" ; |
| 82 | case scev_thread: |
| 83 | return "t" ; |
| 84 | case scev_two_threads: |
| 85 | return "tt" ; |
| 86 | case scev_end: |
| 87 | return "e" ; |
| 88 | case scev_two_ends: |
| 89 | return "ee" ; |
| 90 | case scev_intersection: |
| 91 | return "i" ; |
| 92 | case scev_point: |
| 93 | return "p" ; |
| 94 | case scev_single_point: |
| 95 | return "sp" ; |
| 96 | default:; |
| 97 | }; |
| 98 | GCALC_DBUG_ASSERT(0); |
| 99 | return "unk" ; |
| 100 | } |
| 101 | |
| 102 | |
| 103 | static int gcalc_pi_str(char *str, const Gcalc_heap::Info *pi, const char *postfix) |
| 104 | { |
| 105 | return sprintf(str, "%s %d %d | %s %d %d%s" , |
| 106 | GCALC_SIGN(pi->node.shape.ix[0]) ? "-" :"" , FIRST_DIGIT(pi->node.shape.ix[0]),pi->node.shape.ix[1], |
| 107 | GCALC_SIGN(pi->node.shape.iy[0]) ? "-" :"" , FIRST_DIGIT(pi->node.shape.iy[0]),pi->node.shape.iy[1], |
| 108 | postfix); |
| 109 | |
| 110 | } |
| 111 | |
| 112 | |
| 113 | static void GCALC_DBUG_PRINT_PI(const Gcalc_heap::Info *pi) |
| 114 | { |
| 115 | char buf[128]; |
| 116 | int n_buf; |
| 117 | if (pi->type == Gcalc_heap::nt_intersection) |
| 118 | { |
| 119 | const Gcalc_scan_iterator::intersection_info *ic= i_data(pi); |
| 120 | |
| 121 | GCALC_DBUG_PRINT(("intersection point %d %d" , |
| 122 | ic->edge_a->thread, ic->edge_b->thread)); |
| 123 | return; |
| 124 | } |
| 125 | if (pi->type == Gcalc_heap::nt_eq_node) |
| 126 | { |
| 127 | const Gcalc_scan_iterator::point *e= eq_sp(pi); |
| 128 | GCALC_DBUG_PRINT(("eq point %d" , e->thread)); |
| 129 | return; |
| 130 | } |
| 131 | n_buf= gcalc_pi_str(buf, pi, "" ); |
| 132 | buf[n_buf]= 0; |
| 133 | GCALC_DBUG_PRINT(("%s" , buf)); |
| 134 | } |
| 135 | |
| 136 | |
| 137 | static void GCALC_DBUG_PRINT_SLICE(const char *header, |
| 138 | const Gcalc_scan_iterator::point *slice) |
| 139 | { |
| 140 | size_t nbuf; |
| 141 | char buf[1024]; |
| 142 | nbuf= strlen(header); |
| 143 | strcpy(buf, header); |
| 144 | for (; slice; slice= slice->get_next()) |
| 145 | { |
| 146 | size_t lnbuf= nbuf; |
| 147 | lnbuf+= sprintf(buf + lnbuf, "%d\t" , slice->thread); |
| 148 | lnbuf+= sprintf(buf + lnbuf, "%s\t" , gcalc_ev_name(slice->event)); |
| 149 | |
| 150 | lnbuf+= gcalc_pi_str(buf + lnbuf, slice->pi, "\t" ); |
| 151 | if (slice->is_bottom()) |
| 152 | lnbuf+= sprintf(buf+lnbuf, "bt\t" ); |
| 153 | else |
| 154 | lnbuf+= gcalc_pi_str(buf+lnbuf, slice->next_pi, "\t" ); |
| 155 | buf[lnbuf]= 0; |
| 156 | GCALC_DBUG_PRINT(("%s" , buf)); |
| 157 | } |
| 158 | } |
| 159 | |
| 160 | |
| 161 | #else |
| 162 | #define GCALC_DBUG_CHECK_COUNTER() do { } while(0) |
| 163 | #define GCALC_DBUG_PRINT_PI(pi) do { } while(0) |
| 164 | #define GCALC_DBUG_PRINT_SLICE(a, b) do { } while(0) |
| 165 | #define GCALC_DBUG_PRINT_INTERSECTIONS(a) do { } while(0) |
| 166 | #define GCALC_DBUG_PRINT_STATE(a) do { } while(0) |
| 167 | #endif /*GCALC_DBUG_OFF*/ |
| 168 | |
| 169 | |
| 170 | Gcalc_dyn_list::Gcalc_dyn_list(size_t blk_size, size_t sizeof_item): |
| 171 | m_blk_size(blk_size - ALLOC_ROOT_MIN_BLOCK_SIZE), |
| 172 | m_sizeof_item(ALIGN_SIZE(sizeof_item)), |
| 173 | m_points_per_blk((uint)((m_blk_size - PH_DATA_OFFSET) / m_sizeof_item)), |
| 174 | m_blk_hook(&m_first_blk), |
| 175 | m_free(NULL), |
| 176 | m_keep(NULL) |
| 177 | {} |
| 178 | |
| 179 | |
| 180 | void Gcalc_dyn_list::format_blk(void* block) |
| 181 | { |
| 182 | Item *pi_end, *cur_pi, *first_pi; |
| 183 | GCALC_DBUG_ASSERT(m_free == NULL); |
| 184 | first_pi= cur_pi= (Item *)(((char *)block) + PH_DATA_OFFSET); |
| 185 | pi_end= ptr_add(first_pi, m_points_per_blk - 1); |
| 186 | do { |
| 187 | cur_pi= cur_pi->next= ptr_add(cur_pi, 1); |
| 188 | } while (cur_pi<pi_end); |
| 189 | cur_pi->next= m_free; |
| 190 | m_free= first_pi; |
| 191 | } |
| 192 | |
| 193 | |
| 194 | Gcalc_dyn_list::Item *Gcalc_dyn_list::alloc_new_blk() |
| 195 | { |
| 196 | void *new_block= my_malloc(m_blk_size, MYF(MY_WME)); |
| 197 | if (!new_block) |
| 198 | return NULL; |
| 199 | *m_blk_hook= new_block; |
| 200 | m_blk_hook= (void**)new_block; |
| 201 | format_blk(new_block); |
| 202 | return new_item(); |
| 203 | } |
| 204 | |
| 205 | |
| 206 | static void free_blk_list(void *list) |
| 207 | { |
| 208 | void *next_blk; |
| 209 | while (list) |
| 210 | { |
| 211 | next_blk= *((void **)list); |
| 212 | my_free(list); |
| 213 | list= next_blk; |
| 214 | } |
| 215 | } |
| 216 | |
| 217 | |
| 218 | void Gcalc_dyn_list::cleanup() |
| 219 | { |
| 220 | *m_blk_hook= NULL; |
| 221 | free_blk_list(m_first_blk); |
| 222 | m_first_blk= NULL; |
| 223 | m_blk_hook= &m_first_blk; |
| 224 | m_free= NULL; |
| 225 | } |
| 226 | |
| 227 | |
| 228 | Gcalc_dyn_list::~Gcalc_dyn_list() |
| 229 | { |
| 230 | cleanup(); |
| 231 | } |
| 232 | |
| 233 | |
| 234 | void Gcalc_dyn_list::reset() |
| 235 | { |
| 236 | *m_blk_hook= NULL; |
| 237 | if (m_first_blk) |
| 238 | { |
| 239 | free_blk_list(*((void **)m_first_blk)); |
| 240 | m_blk_hook= (void**)m_first_blk; |
| 241 | m_free= NULL; |
| 242 | format_blk(m_first_blk); |
| 243 | } |
| 244 | } |
| 245 | |
| 246 | |
| 247 | /* Internal coordinate operations implementations */ |
| 248 | |
| 249 | void gcalc_set_zero(Gcalc_internal_coord *d, int d_len) |
| 250 | { |
| 251 | do |
| 252 | { |
| 253 | d[--d_len]= 0; |
| 254 | } while (d_len); |
| 255 | } |
| 256 | |
| 257 | |
| 258 | int gcalc_is_zero(const Gcalc_internal_coord *d, int d_len) |
| 259 | { |
| 260 | do |
| 261 | { |
| 262 | if (d[--d_len] != 0) |
| 263 | return 0; |
| 264 | } while (d_len); |
| 265 | return 1; |
| 266 | } |
| 267 | |
| 268 | |
| 269 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 270 | static double *gcalc_coord_extent= NULL; |
| 271 | |
| 272 | long double gcalc_get_double(const Gcalc_internal_coord *d, int d_len) |
| 273 | { |
| 274 | int n= 1; |
| 275 | long double res= (long double) FIRST_DIGIT(d[0]); |
| 276 | do |
| 277 | { |
| 278 | res*= (long double) GCALC_DIG_BASE; |
| 279 | res+= (long double) d[n]; |
| 280 | } while(++n < d_len); |
| 281 | |
| 282 | n= 0; |
| 283 | do |
| 284 | { |
| 285 | if ((n & 1) && gcalc_coord_extent) |
| 286 | res/= *gcalc_coord_extent; |
| 287 | } while(++n < d_len); |
| 288 | |
| 289 | if (GCALC_SIGN(d[0])) |
| 290 | res*= -1.0; |
| 291 | return res; |
| 292 | } |
| 293 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 294 | |
| 295 | |
| 296 | static void do_add(Gcalc_internal_coord *result, int result_len, |
| 297 | const Gcalc_internal_coord *a, |
| 298 | const Gcalc_internal_coord *b) |
| 299 | { |
| 300 | int n_digit= result_len-1; |
| 301 | gcalc_digit_t carry= 0; |
| 302 | |
| 303 | do |
| 304 | { |
| 305 | if ((result[n_digit]= |
| 306 | a[n_digit] + b[n_digit] + carry) >= GCALC_DIG_BASE) |
| 307 | { |
| 308 | carry= 1; |
| 309 | result[n_digit]-= GCALC_DIG_BASE; |
| 310 | } |
| 311 | else |
| 312 | carry= 0; |
| 313 | } while (--n_digit); |
| 314 | |
| 315 | result[0]= (a[0] + FIRST_DIGIT(b[0]) + carry); |
| 316 | |
| 317 | GCALC_DBUG_ASSERT(FIRST_DIGIT(result[0]) < GCALC_DIG_BASE); |
| 318 | } |
| 319 | |
| 320 | |
| 321 | static void do_sub(Gcalc_internal_coord *result, int result_len, |
| 322 | const Gcalc_internal_coord *a, |
| 323 | const Gcalc_internal_coord *b) |
| 324 | { |
| 325 | int n_digit= result_len-1; |
| 326 | gcalc_digit_t carry= 0; |
| 327 | gcalc_digit_t cur_b, cur_a; |
| 328 | |
| 329 | do |
| 330 | { |
| 331 | cur_b= b[n_digit] + carry; |
| 332 | cur_a= a[n_digit]; |
| 333 | if (cur_a < cur_b) |
| 334 | { |
| 335 | carry= 1; |
| 336 | result[n_digit]= (GCALC_DIG_BASE - cur_b) + cur_a; |
| 337 | } |
| 338 | else |
| 339 | { |
| 340 | carry= 0; |
| 341 | result[n_digit]= cur_a - cur_b; |
| 342 | } |
| 343 | } while (--n_digit); |
| 344 | |
| 345 | |
| 346 | result[0]= a[0] - FIRST_DIGIT(b[0]) - carry; |
| 347 | |
| 348 | GCALC_DBUG_ASSERT(FIRST_DIGIT(a[0]) >= FIRST_DIGIT(b[0]) + carry); |
| 349 | GCALC_DBUG_ASSERT(!gcalc_is_zero(result, result_len)); |
| 350 | } |
| 351 | /* |
| 352 | static void do_sub(Gcalc_internal_coord *result, int result_len, |
| 353 | const Gcalc_internal_coord *a, |
| 354 | const Gcalc_internal_coord *b) |
| 355 | { |
| 356 | int n_digit= result_len-1; |
| 357 | gcalc_digit_t carry= 0; |
| 358 | |
| 359 | do |
| 360 | { |
| 361 | if ((result[n_digit]= a[n_digit] - b[n_digit] - carry) < 0) |
| 362 | { |
| 363 | carry= 1; |
| 364 | result[n_digit]+= GCALC_DIG_BASE; |
| 365 | } |
| 366 | else |
| 367 | carry= 0; |
| 368 | } while (--n_digit); |
| 369 | |
| 370 | |
| 371 | result[0]= a[0] - FIRST_DIGIT(b[0]) - carry; |
| 372 | |
| 373 | GCALC_DBUG_ASSERT(FIRST_DIGIT(a[0]) - FIRST_DIGIT(b[0]) - carry >= 0); |
| 374 | GCALC_DBUG_ASSERT(!gcalc_is_zero(result, result_len)); |
| 375 | } |
| 376 | */ |
| 377 | |
| 378 | static int do_cmp(const Gcalc_internal_coord *a, |
| 379 | const Gcalc_internal_coord *b, int len) |
| 380 | { |
| 381 | int n_digit= 1; |
| 382 | |
| 383 | if ((FIRST_DIGIT(a[0]) != FIRST_DIGIT(b[0]))) |
| 384 | return FIRST_DIGIT(a[0]) > FIRST_DIGIT(b[0]) ? 1 : -1; |
| 385 | |
| 386 | do |
| 387 | { |
| 388 | if ((a[n_digit] != b[n_digit])) |
| 389 | return a[n_digit] > b[n_digit] ? 1 : -1; |
| 390 | } while (++n_digit < len); |
| 391 | |
| 392 | return 0; |
| 393 | } |
| 394 | |
| 395 | |
| 396 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 397 | static int de_weak_check(long double a, long double b, long double ex) |
| 398 | { |
| 399 | long double d= a - b; |
| 400 | if (d < ex && d > -ex) |
| 401 | return 1; |
| 402 | |
| 403 | d/= fabsl(a) + fabsl(b); |
| 404 | if (d < ex && d > -ex) |
| 405 | return 1; |
| 406 | return 0; |
| 407 | } |
| 408 | |
| 409 | static int de_check(long double a, long double b) |
| 410 | { |
| 411 | return de_weak_check(a, b, (long double) 1e-9); |
| 412 | } |
| 413 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 414 | |
| 415 | |
| 416 | void gcalc_mul_coord(Gcalc_internal_coord *result, int result_len, |
| 417 | const Gcalc_internal_coord *a, int a_len, |
| 418 | const Gcalc_internal_coord *b, int b_len) |
| 419 | { |
| 420 | GCALC_DBUG_ASSERT(result_len == a_len + b_len); |
| 421 | GCALC_DBUG_ASSERT(a_len >= b_len); |
| 422 | int n_a, n_b, n_res; |
| 423 | gcalc_digit_t carry= 0; |
| 424 | |
| 425 | gcalc_set_zero(result, result_len); |
| 426 | |
| 427 | n_a= a_len - 1; |
| 428 | do |
| 429 | { |
| 430 | gcalc_coord2 cur_a= n_a ? a[n_a] : FIRST_DIGIT(a[0]); |
| 431 | n_b= b_len - 1; |
| 432 | do |
| 433 | { |
| 434 | gcalc_coord2 cur_b= n_b ? b[n_b] : FIRST_DIGIT(b[0]); |
| 435 | gcalc_coord2 mul= cur_a * cur_b + carry + result[n_a + n_b + 1]; |
| 436 | result[n_a + n_b + 1]= mul % GCALC_DIG_BASE; |
| 437 | carry= (gcalc_digit_t) (mul / (gcalc_coord2) GCALC_DIG_BASE); |
| 438 | } while (n_b--); |
| 439 | if (carry) |
| 440 | { |
| 441 | for (n_res= n_a; (result[n_res]+= carry) >= GCALC_DIG_BASE; |
| 442 | n_res--) |
| 443 | { |
| 444 | result[n_res]-= GCALC_DIG_BASE; |
| 445 | carry= 1; |
| 446 | } |
| 447 | carry= 0; |
| 448 | } |
| 449 | } while (n_a--); |
| 450 | if (!gcalc_is_zero(result, result_len)) |
| 451 | result[0]|= GCALC_SIGN(a[0] ^ b[0]); |
| 452 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 453 | GCALC_DBUG_ASSERT(de_check(gcalc_get_double(a, a_len) * |
| 454 | gcalc_get_double(b, b_len), |
| 455 | gcalc_get_double(result, result_len))); |
| 456 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 457 | } |
| 458 | |
| 459 | |
| 460 | inline void gcalc_mul_coord1(Gcalc_coord1 result, |
| 461 | const Gcalc_coord1 a, const Gcalc_coord1 b) |
| 462 | { |
| 463 | return gcalc_mul_coord(result, GCALC_COORD_BASE2, |
| 464 | a, GCALC_COORD_BASE, b, GCALC_COORD_BASE); |
| 465 | } |
| 466 | |
| 467 | |
| 468 | void gcalc_add_coord(Gcalc_internal_coord *result, int result_len, |
| 469 | const Gcalc_internal_coord *a, |
| 470 | const Gcalc_internal_coord *b) |
| 471 | { |
| 472 | if (GCALC_SIGN(a[0]) == GCALC_SIGN(b[0])) |
| 473 | do_add(result, result_len, a, b); |
| 474 | else |
| 475 | { |
| 476 | int cmp_res= do_cmp(a, b, result_len); |
| 477 | if (cmp_res == 0) |
| 478 | gcalc_set_zero(result, result_len); |
| 479 | else if (cmp_res > 0) |
| 480 | do_sub(result, result_len, a, b); |
| 481 | else |
| 482 | do_sub(result, result_len, b, a); |
| 483 | } |
| 484 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 485 | GCALC_DBUG_ASSERT(de_check(gcalc_get_double(a, result_len) + |
| 486 | gcalc_get_double(b, result_len), |
| 487 | gcalc_get_double(result, result_len))); |
| 488 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 489 | } |
| 490 | |
| 491 | |
| 492 | void gcalc_sub_coord(Gcalc_internal_coord *result, int result_len, |
| 493 | const Gcalc_internal_coord *a, |
| 494 | const Gcalc_internal_coord *b) |
| 495 | { |
| 496 | if (GCALC_SIGN(a[0] ^ b[0])) |
| 497 | do_add(result, result_len, a, b); |
| 498 | else |
| 499 | { |
| 500 | int cmp_res= do_cmp(a, b, result_len); |
| 501 | if (cmp_res == 0) |
| 502 | gcalc_set_zero(result, result_len); |
| 503 | else if (cmp_res > 0) |
| 504 | do_sub(result, result_len, a, b); |
| 505 | else |
| 506 | { |
| 507 | do_sub(result, result_len, b, a); |
| 508 | result[0]^= GCALC_COORD_MINUS; |
| 509 | } |
| 510 | } |
| 511 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 512 | GCALC_DBUG_ASSERT(de_check(gcalc_get_double(a, result_len) - |
| 513 | gcalc_get_double(b, result_len), |
| 514 | gcalc_get_double(result, result_len))); |
| 515 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 516 | } |
| 517 | |
| 518 | |
| 519 | inline void gcalc_sub_coord1(Gcalc_coord1 result, |
| 520 | const Gcalc_coord1 a, const Gcalc_coord1 b) |
| 521 | { |
| 522 | return gcalc_sub_coord(result, GCALC_COORD_BASE, a, b); |
| 523 | } |
| 524 | |
| 525 | |
| 526 | int gcalc_cmp_coord(const Gcalc_internal_coord *a, |
| 527 | const Gcalc_internal_coord *b, int len) |
| 528 | { |
| 529 | int n_digit= 0; |
| 530 | int result= 0; |
| 531 | |
| 532 | do |
| 533 | { |
| 534 | if (a[n_digit] == b[n_digit]) |
| 535 | { |
| 536 | n_digit++; |
| 537 | continue; |
| 538 | } |
| 539 | if (a[n_digit] > b[n_digit]) |
| 540 | result= GCALC_SIGN(a[0]) ? -1 : 1; |
| 541 | else |
| 542 | result= GCALC_SIGN(b[0]) ? 1 : -1; |
| 543 | break; |
| 544 | |
| 545 | } while (n_digit < len); |
| 546 | |
| 547 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 548 | if (result == 0) |
| 549 | GCALC_DBUG_ASSERT(de_check(gcalc_get_double(a, len), |
| 550 | gcalc_get_double(b, len))); |
| 551 | else if (result == 1) |
| 552 | GCALC_DBUG_ASSERT(de_check(gcalc_get_double(a, len), |
| 553 | gcalc_get_double(b, len)) || |
| 554 | gcalc_get_double(a, len) > gcalc_get_double(b, len)); |
| 555 | else |
| 556 | GCALC_DBUG_ASSERT(de_check(gcalc_get_double(a, len), |
| 557 | gcalc_get_double(b, len)) || |
| 558 | gcalc_get_double(a, len) < gcalc_get_double(b, len)); |
| 559 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 560 | return result; |
| 561 | } |
| 562 | |
| 563 | |
| 564 | #define gcalc_cmp_coord1(a, b) gcalc_cmp_coord(a, b, GCALC_COORD_BASE) |
| 565 | |
| 566 | int gcalc_set_double(Gcalc_internal_coord *c, double d, double ext) |
| 567 | { |
| 568 | int sign; |
| 569 | double ds= d * ext; |
| 570 | if ((sign= ds < 0)) |
| 571 | ds= -ds; |
| 572 | c[0]= (gcalc_digit_t) (ds / (double) GCALC_DIG_BASE); |
| 573 | c[1]= (gcalc_digit_t) (ds - ((double) c[0]) * (double) GCALC_DIG_BASE); |
| 574 | if (c[1] >= GCALC_DIG_BASE) |
| 575 | { |
| 576 | c[1]= 0; |
| 577 | c[0]++; |
| 578 | } |
| 579 | if (sign && (c[0] | c[1])) |
| 580 | c[0]|= GCALC_COORD_MINUS; |
| 581 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 582 | GCALC_DBUG_ASSERT(de_check(d, gcalc_get_double(c, 2))); |
| 583 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 584 | return 0; |
| 585 | } |
| 586 | |
| 587 | |
| 588 | typedef gcalc_digit_t Gcalc_coord4[GCALC_COORD_BASE*4]; |
| 589 | typedef gcalc_digit_t Gcalc_coord5[GCALC_COORD_BASE*5]; |
| 590 | |
| 591 | |
| 592 | void Gcalc_scan_iterator::intersection_info::do_calc_t() |
| 593 | { |
| 594 | Gcalc_coord1 a2_a1x, a2_a1y; |
| 595 | Gcalc_coord2 x1y2, x2y1; |
| 596 | |
| 597 | gcalc_sub_coord1(a2_a1x, edge_b->pi->node.shape.ix, edge_a->pi->node.shape.ix); |
| 598 | gcalc_sub_coord1(a2_a1y, edge_b->pi->node.shape.iy, edge_a->pi->node.shape.iy); |
| 599 | |
| 600 | GCALC_DBUG_ASSERT(!gcalc_is_zero(edge_a->dy, GCALC_COORD_BASE) || |
| 601 | !gcalc_is_zero(edge_b->dy, GCALC_COORD_BASE)); |
| 602 | |
| 603 | gcalc_mul_coord1(x1y2, edge_a->dx, edge_b->dy); |
| 604 | gcalc_mul_coord1(x2y1, edge_a->dy, edge_b->dx); |
| 605 | gcalc_sub_coord(t_b, GCALC_COORD_BASE2, x1y2, x2y1); |
| 606 | |
| 607 | |
| 608 | gcalc_mul_coord1(x1y2, a2_a1x, edge_b->dy); |
| 609 | gcalc_mul_coord1(x2y1, a2_a1y, edge_b->dx); |
| 610 | gcalc_sub_coord(t_a, GCALC_COORD_BASE2, x1y2, x2y1); |
| 611 | t_calculated= 1; |
| 612 | } |
| 613 | |
| 614 | |
| 615 | void Gcalc_scan_iterator::intersection_info::do_calc_y() |
| 616 | { |
| 617 | GCALC_DBUG_ASSERT(t_calculated); |
| 618 | |
| 619 | Gcalc_coord3 a_tb, b_ta; |
| 620 | |
| 621 | gcalc_mul_coord(a_tb, GCALC_COORD_BASE3, |
| 622 | t_b, GCALC_COORD_BASE2, edge_a->pi->node.shape.iy, GCALC_COORD_BASE); |
| 623 | gcalc_mul_coord(b_ta, GCALC_COORD_BASE3, |
| 624 | t_a, GCALC_COORD_BASE2, edge_a->dy, GCALC_COORD_BASE); |
| 625 | |
| 626 | gcalc_add_coord(y_exp, GCALC_COORD_BASE3, a_tb, b_ta); |
| 627 | y_calculated= 1; |
| 628 | } |
| 629 | |
| 630 | |
| 631 | void Gcalc_scan_iterator::intersection_info::do_calc_x() |
| 632 | { |
| 633 | GCALC_DBUG_ASSERT(t_calculated); |
| 634 | |
| 635 | Gcalc_coord3 a_tb, b_ta; |
| 636 | |
| 637 | gcalc_mul_coord(a_tb, GCALC_COORD_BASE3, |
| 638 | t_b, GCALC_COORD_BASE2, edge_a->pi->node.shape.ix, GCALC_COORD_BASE); |
| 639 | gcalc_mul_coord(b_ta, GCALC_COORD_BASE3, |
| 640 | t_a, GCALC_COORD_BASE2, edge_a->dx, GCALC_COORD_BASE); |
| 641 | |
| 642 | gcalc_add_coord(x_exp, GCALC_COORD_BASE3, a_tb, b_ta); |
| 643 | x_calculated= 1; |
| 644 | } |
| 645 | |
| 646 | |
| 647 | static int cmp_node_isc(const Gcalc_heap::Info *node, |
| 648 | const Gcalc_heap::Info *isc) |
| 649 | { |
| 650 | GCALC_DBUG_ASSERT(node->type == Gcalc_heap::nt_shape_node); |
| 651 | Gcalc_scan_iterator::intersection_info *inf= i_data(isc); |
| 652 | Gcalc_coord3 exp; |
| 653 | int result; |
| 654 | |
| 655 | inf->calc_t(); |
| 656 | inf->calc_y_exp(); |
| 657 | |
| 658 | gcalc_mul_coord(exp, GCALC_COORD_BASE3, |
| 659 | inf->t_b, GCALC_COORD_BASE2, node->node.shape.iy, GCALC_COORD_BASE); |
| 660 | |
| 661 | result= gcalc_cmp_coord(exp, inf->y_exp, GCALC_COORD_BASE3); |
| 662 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 663 | long double int_x, int_y; |
| 664 | isc->calc_xy_ld(&int_x, &int_y); |
| 665 | if (result < 0) |
| 666 | { |
| 667 | if (!de_check(int_y, node->node.shape.y) && node->node.shape.y > int_y) |
| 668 | GCALC_DBUG_PRINT(("floatcheck cmp_nod_iscy %g < %LG" , node->node.shape.y, int_y)); |
| 669 | } |
| 670 | else if (result > 0) |
| 671 | { |
| 672 | if (!de_check(int_y, node->node.shape.y) && node->node.shape.y < int_y) |
| 673 | GCALC_DBUG_PRINT(("floatcheck cmp_nod_iscy %g > %LG" , node->node.shape.y, int_y)); |
| 674 | } |
| 675 | else |
| 676 | { |
| 677 | if (!de_check(int_y, node->node.shape.y)) |
| 678 | GCALC_DBUG_PRINT(("floatcheck cmp_nod_iscy %g == %LG" , node->node.shape.y, int_y)); |
| 679 | } |
| 680 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 681 | if (result) |
| 682 | goto exit; |
| 683 | |
| 684 | |
| 685 | inf->calc_x_exp(); |
| 686 | gcalc_mul_coord(exp, GCALC_COORD_BASE3, |
| 687 | inf->t_b, GCALC_COORD_BASE2, node->node.shape.ix, GCALC_COORD_BASE); |
| 688 | |
| 689 | result= gcalc_cmp_coord(exp, inf->x_exp, GCALC_COORD_BASE3); |
| 690 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 691 | if (result < 0) |
| 692 | { |
| 693 | if (!de_check(int_x, node->node.shape.x) && node->node.shape.x > int_x) |
| 694 | GCALC_DBUG_PRINT(("floatcheck cmp_nod_iscx failed %g < %LG" , |
| 695 | node->node.shape.x, int_x)); |
| 696 | } |
| 697 | else if (result > 0) |
| 698 | { |
| 699 | if (!de_check(int_x, node->node.shape.x) && node->node.shape.x < int_x) |
| 700 | GCALC_DBUG_PRINT(("floatcheck cmp_nod_iscx failed %g > %LG" , |
| 701 | node->node.shape.x, int_x)); |
| 702 | } |
| 703 | else |
| 704 | { |
| 705 | if (!de_check(int_x, node->node.shape.x)) |
| 706 | GCALC_DBUG_PRINT(("floatcheck cmp_nod_iscx failed %g == %LG" , |
| 707 | node->node.shape.x, int_x)); |
| 708 | } |
| 709 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 710 | exit: |
| 711 | return result; |
| 712 | } |
| 713 | |
| 714 | |
| 715 | static int cmp_intersections(const Gcalc_heap::Info *i1, |
| 716 | const Gcalc_heap::Info *i2) |
| 717 | { |
| 718 | Gcalc_scan_iterator::intersection_info *inf1= i_data(i1); |
| 719 | Gcalc_scan_iterator::intersection_info *inf2= i_data(i2); |
| 720 | Gcalc_coord5 exp_a, exp_b; |
| 721 | int result; |
| 722 | |
| 723 | inf1->calc_t(); |
| 724 | inf2->calc_t(); |
| 725 | |
| 726 | inf1->calc_y_exp(); |
| 727 | inf2->calc_y_exp(); |
| 728 | |
| 729 | gcalc_mul_coord(exp_a, GCALC_COORD_BASE5, |
| 730 | inf1->y_exp, GCALC_COORD_BASE3, inf2->t_b, GCALC_COORD_BASE2); |
| 731 | gcalc_mul_coord(exp_b, GCALC_COORD_BASE5, |
| 732 | inf2->y_exp, GCALC_COORD_BASE3, inf1->t_b, GCALC_COORD_BASE2); |
| 733 | |
| 734 | result= gcalc_cmp_coord(exp_a, exp_b, GCALC_COORD_BASE5); |
| 735 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 736 | long double x1, y1, x2, y2; |
| 737 | i1->calc_xy_ld(&x1, &y1); |
| 738 | i2->calc_xy_ld(&x2, &y2); |
| 739 | |
| 740 | if (result < 0) |
| 741 | { |
| 742 | if (!de_check(y1, y2) && y2 > y1) |
| 743 | GCALC_DBUG_PRINT(("floatcheck cmp_intersections_y failed %LG < %LG" , |
| 744 | y2, y1)); |
| 745 | } |
| 746 | else if (result > 0) |
| 747 | { |
| 748 | if (!de_check(y1, y2) && y2 < y1) |
| 749 | GCALC_DBUG_PRINT(("floatcheck cmp_intersections_y failed %LG > %LG" , |
| 750 | y2, y1)); |
| 751 | } |
| 752 | else |
| 753 | { |
| 754 | if (!de_check(y1, y2)) |
| 755 | GCALC_DBUG_PRINT(("floatcheck cmp_intersections_y failed %LG == %LG" , |
| 756 | y2, y1)); |
| 757 | } |
| 758 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 759 | |
| 760 | if (result != 0) |
| 761 | return result; |
| 762 | |
| 763 | |
| 764 | inf1->calc_x_exp(); |
| 765 | inf2->calc_x_exp(); |
| 766 | gcalc_mul_coord(exp_a, GCALC_COORD_BASE5, |
| 767 | inf1->x_exp, GCALC_COORD_BASE3, inf2->t_b, GCALC_COORD_BASE2); |
| 768 | gcalc_mul_coord(exp_b, GCALC_COORD_BASE5, |
| 769 | inf2->x_exp, GCALC_COORD_BASE3, inf1->t_b, GCALC_COORD_BASE2); |
| 770 | |
| 771 | result= gcalc_cmp_coord(exp_a, exp_b, GCALC_COORD_BASE5); |
| 772 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 773 | if (result < 0) |
| 774 | { |
| 775 | if (!de_check(x1, x2) && x2 > x1) |
| 776 | GCALC_DBUG_PRINT(("floatcheck cmp_intersectionsx failed %LG < %LG" , |
| 777 | x2, x1)); |
| 778 | } |
| 779 | else if (result > 0) |
| 780 | { |
| 781 | if (!de_check(x1, x2) && x2 < x1) |
| 782 | GCALC_DBUG_PRINT(("floatcheck cmp_intersectionsx failed %LG > %LG" , |
| 783 | x2, x1)); |
| 784 | } |
| 785 | else |
| 786 | { |
| 787 | if (!de_check(x1, x2)) |
| 788 | GCALC_DBUG_PRINT(("floatcheck cmp_intersectionsx failed %LG == %LG" , |
| 789 | x2, x1)); |
| 790 | } |
| 791 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 792 | return result; |
| 793 | } |
| 794 | /* Internal coordinates implementation end */ |
| 795 | |
| 796 | |
| 797 | #define GCALC_SCALE_1 1e18 |
| 798 | |
| 799 | static double find_scale(double extent) |
| 800 | { |
| 801 | double scale= 1e-2; |
| 802 | while (scale < extent) |
| 803 | scale*= (double ) 10; |
| 804 | return GCALC_SCALE_1 / scale / 10; |
| 805 | } |
| 806 | |
| 807 | |
| 808 | void Gcalc_heap::set_extent(double xmin, double xmax, double ymin, double ymax) |
| 809 | { |
| 810 | xmin= fabs(xmin); |
| 811 | xmax= fabs(xmax); |
| 812 | ymin= fabs(ymin); |
| 813 | ymax= fabs(ymax); |
| 814 | |
| 815 | if (xmax < xmin) |
| 816 | xmax= xmin; |
| 817 | if (ymax < ymin) |
| 818 | ymax= ymin; |
| 819 | |
| 820 | coord_extent= xmax > ymax ? xmax : ymax; |
| 821 | coord_extent= find_scale(coord_extent); |
| 822 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 823 | gcalc_coord_extent= &coord_extent; |
| 824 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 825 | } |
| 826 | |
| 827 | |
| 828 | void Gcalc_heap::free_point_info(Gcalc_heap::Info *i, |
| 829 | Gcalc_dyn_list::Item **i_hook) |
| 830 | { |
| 831 | if (m_hook == &i->next) |
| 832 | m_hook= i_hook; |
| 833 | *i_hook= i->next; |
| 834 | free_item(i); |
| 835 | m_n_points--; |
| 836 | } |
| 837 | |
| 838 | |
| 839 | Gcalc_heap::Info *Gcalc_heap::new_point_info(double x, double y, |
| 840 | gcalc_shape_info shape) |
| 841 | { |
| 842 | Info *result= (Info *)new_item(); |
| 843 | if (!result) |
| 844 | return NULL; |
| 845 | *m_hook= result; |
| 846 | m_hook= &result->next; |
| 847 | result->node.shape.x= x; |
| 848 | result->node.shape.y= y; |
| 849 | result->node.shape.shape= shape; |
| 850 | result->node.shape.top_node= 1; |
| 851 | result->type= nt_shape_node; |
| 852 | gcalc_set_double(result->node.shape.ix, x, coord_extent); |
| 853 | gcalc_set_double(result->node.shape.iy, y, coord_extent); |
| 854 | |
| 855 | m_n_points++; |
| 856 | return result; |
| 857 | } |
| 858 | |
| 859 | |
| 860 | static Gcalc_heap::Info *new_intersection( |
| 861 | Gcalc_heap *heap, Gcalc_scan_iterator::intersection_info *ii) |
| 862 | { |
| 863 | Gcalc_heap::Info *isc= (Gcalc_heap::Info *)heap->new_item(); |
| 864 | if (!isc) |
| 865 | return 0; |
| 866 | isc->type= Gcalc_heap::nt_intersection; |
| 867 | isc->node.intersection.p1= ii->edge_a->pi; |
| 868 | isc->node.intersection.p2= ii->edge_a->next_pi; |
| 869 | isc->node.intersection.p3= ii->edge_b->pi; |
| 870 | isc->node.intersection.p4= ii->edge_b->next_pi; |
| 871 | isc->node.intersection.data= ii; |
| 872 | return isc; |
| 873 | } |
| 874 | |
| 875 | |
| 876 | static Gcalc_heap::Info *new_eq_point( |
| 877 | Gcalc_heap *heap, const Gcalc_heap::Info *p, |
| 878 | Gcalc_scan_iterator::point *edge) |
| 879 | { |
| 880 | Gcalc_heap::Info *eqp= (Gcalc_heap::Info *)heap->new_item(); |
| 881 | if (!eqp) |
| 882 | return 0; |
| 883 | eqp->type= Gcalc_heap::nt_eq_node; |
| 884 | eqp->node.eq.node= p; |
| 885 | eqp->node.eq.data= edge; |
| 886 | return eqp; |
| 887 | } |
| 888 | |
| 889 | |
| 890 | void Gcalc_heap::Info::calc_xy(double *x, double *y) const |
| 891 | { |
| 892 | double b0_x= node.intersection.p2->node.shape.x - node.intersection.p1->node.shape.x; |
| 893 | double b0_y= node.intersection.p2->node.shape.y - node.intersection.p1->node.shape.y; |
| 894 | double b1_x= node.intersection.p4->node.shape.x - node.intersection.p3->node.shape.x; |
| 895 | double b1_y= node.intersection.p4->node.shape.y - node.intersection.p3->node.shape.y; |
| 896 | double b0xb1= b0_x * b1_y - b0_y * b1_x; |
| 897 | double t= (node.intersection.p3->node.shape.x - node.intersection.p1->node.shape.x) * b1_y - (node.intersection.p3->node.shape.y - node.intersection.p1->node.shape.y) * b1_x; |
| 898 | |
| 899 | t/= b0xb1; |
| 900 | |
| 901 | *x= node.intersection.p1->node.shape.x + b0_x * t; |
| 902 | *y= node.intersection.p1->node.shape.y + b0_y * t; |
| 903 | } |
| 904 | |
| 905 | |
| 906 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 907 | void Gcalc_heap::Info::calc_xy_ld(long double *x, long double *y) const |
| 908 | { |
| 909 | long double b0_x= ((long double) p2->node.shape.x) - p1->node.shape.x; |
| 910 | long double b0_y= ((long double) p2->node.shape.y) - p1->node.shape.y; |
| 911 | long double b1_x= ((long double) p4->node.shape.x) - p3->node.shape.x; |
| 912 | long double b1_y= ((long double) p4->node.shape.y) - p3->node.shape.y; |
| 913 | long double b0xb1= b0_x * b1_y - b0_y * b1_x; |
| 914 | long double ax= ((long double) p3->node.shape.x) - p1->node.shape.x; |
| 915 | long double ay= ((long double) p3->node.shape.y) - p1->node.shape.y; |
| 916 | long double t_a= ax * b1_y - ay * b1_x; |
| 917 | long double hx= (b0xb1 * (long double) p1->node.shape.x + b0_x * t_a); |
| 918 | long double hy= (b0xb1 * (long double) p1->node.shape.y + b0_y * t_a); |
| 919 | |
| 920 | if (fabs(b0xb1) < 1e-15) |
| 921 | { |
| 922 | *x= p1->node.shape.x; |
| 923 | *y= p1->node.shape.y; |
| 924 | return; |
| 925 | } |
| 926 | |
| 927 | *x= hx/b0xb1; |
| 928 | *y= hy/b0xb1; |
| 929 | } |
| 930 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 931 | |
| 932 | |
| 933 | static int cmp_point_info(const Gcalc_heap::Info *i0, |
| 934 | const Gcalc_heap::Info *i1) |
| 935 | { |
| 936 | int cmp_y= gcalc_cmp_coord1(i0->node.shape.iy, i1->node.shape.iy); |
| 937 | if (cmp_y) |
| 938 | return cmp_y; |
| 939 | return gcalc_cmp_coord1(i0->node.shape.ix, i1->node.shape.ix); |
| 940 | } |
| 941 | |
| 942 | |
| 943 | static inline void trim_node(Gcalc_heap::Info *node, Gcalc_heap::Info *prev_node) |
| 944 | { |
| 945 | if (!node) |
| 946 | return; |
| 947 | node->node.shape.top_node= 0; |
| 948 | GCALC_DBUG_ASSERT((node->node.shape.left == prev_node) || (node->node.shape.right == prev_node)); |
| 949 | if (node->node.shape.left == prev_node) |
| 950 | node->node.shape.left= node->node.shape.right; |
| 951 | node->node.shape.right= NULL; |
| 952 | GCALC_DBUG_ASSERT(cmp_point_info(node, prev_node)); |
| 953 | } |
| 954 | |
| 955 | |
| 956 | static int compare_point_info(const void *e0, const void *e1) |
| 957 | { |
| 958 | const Gcalc_heap::Info *i0= (const Gcalc_heap::Info *)e0; |
| 959 | const Gcalc_heap::Info *i1= (const Gcalc_heap::Info *)e1; |
| 960 | return cmp_point_info(i0, i1) > 0; |
| 961 | } |
| 962 | |
| 963 | |
| 964 | void Gcalc_heap::prepare_operation() |
| 965 | { |
| 966 | Info *cur; |
| 967 | GCALC_DBUG_ASSERT(m_hook); |
| 968 | *m_hook= NULL; |
| 969 | m_hook= NULL; /* just to check it's not called twice */ |
| 970 | m_first= sort_list(compare_point_info, m_first, m_n_points); |
| 971 | |
| 972 | /* TODO - move this to the 'normal_scan' loop */ |
| 973 | for (cur= get_first(); cur; cur= cur->get_next()) |
| 974 | { |
| 975 | trim_node(cur->node.shape.left, cur); |
| 976 | trim_node(cur->node.shape.right, cur); |
| 977 | } |
| 978 | } |
| 979 | |
| 980 | |
| 981 | void Gcalc_heap::reset() |
| 982 | { |
| 983 | if (m_n_points) |
| 984 | { |
| 985 | free_list(m_first); |
| 986 | m_n_points= 0; |
| 987 | } |
| 988 | m_hook= &m_first; |
| 989 | } |
| 990 | |
| 991 | |
| 992 | int Gcalc_shape_transporter::int_single_point(gcalc_shape_info Info, |
| 993 | double x, double y) |
| 994 | { |
| 995 | Gcalc_heap::Info *point= m_heap->new_point_info(x, y, Info); |
| 996 | if (!point) |
| 997 | return 1; |
| 998 | point->node.shape.left= point->node.shape.right= 0; |
| 999 | return 0; |
| 1000 | } |
| 1001 | |
| 1002 | |
| 1003 | int Gcalc_shape_transporter::int_add_point(gcalc_shape_info Info, |
| 1004 | double x, double y) |
| 1005 | { |
| 1006 | Gcalc_heap::Info *point; |
| 1007 | Gcalc_dyn_list::Item **hook; |
| 1008 | |
| 1009 | hook= m_heap->get_cur_hook(); |
| 1010 | |
| 1011 | if (!(point= m_heap->new_point_info(x, y, Info))) |
| 1012 | return 1; |
| 1013 | if (m_first) |
| 1014 | { |
| 1015 | if (cmp_point_info(m_prev, point) == 0) |
| 1016 | { |
| 1017 | /* Coinciding points, do nothing */ |
| 1018 | m_heap->free_point_info(point, hook); |
| 1019 | return 0; |
| 1020 | } |
| 1021 | GCALC_DBUG_ASSERT(!m_prev || m_prev->node.shape.x != x || m_prev->node.shape.y != y); |
| 1022 | m_prev->node.shape.left= point; |
| 1023 | point->node.shape.right= m_prev; |
| 1024 | } |
| 1025 | else |
| 1026 | m_first= point; |
| 1027 | m_prev= point; |
| 1028 | m_prev_hook= hook; |
| 1029 | return 0; |
| 1030 | } |
| 1031 | |
| 1032 | |
| 1033 | void Gcalc_shape_transporter::int_complete() |
| 1034 | { |
| 1035 | GCALC_DBUG_ASSERT(m_shape_started == 1 || m_shape_started == 3); |
| 1036 | |
| 1037 | if (!m_first) |
| 1038 | return; |
| 1039 | |
| 1040 | /* simple point */ |
| 1041 | if (m_first == m_prev) |
| 1042 | { |
| 1043 | m_first->node.shape.right= m_first->node.shape.left= NULL; |
| 1044 | return; |
| 1045 | } |
| 1046 | |
| 1047 | /* line */ |
| 1048 | if (m_shape_started == 1) |
| 1049 | { |
| 1050 | m_first->node.shape.right= NULL; |
| 1051 | m_prev->node.shape.left= m_prev->node.shape.right; |
| 1052 | m_prev->node.shape.right= NULL; |
| 1053 | return; |
| 1054 | } |
| 1055 | |
| 1056 | /* polygon */ |
| 1057 | if (cmp_point_info(m_first, m_prev) == 0) |
| 1058 | { |
| 1059 | /* Coinciding points, remove the last one from the list */ |
| 1060 | m_prev->node.shape.right->node.shape.left= m_first; |
| 1061 | m_first->node.shape.right= m_prev->node.shape.right; |
| 1062 | m_heap->free_point_info(m_prev, m_prev_hook); |
| 1063 | } |
| 1064 | else |
| 1065 | { |
| 1066 | GCALC_DBUG_ASSERT(m_prev->node.shape.x != m_first->node.shape.x || m_prev->node.shape.y != m_first->node.shape.y); |
| 1067 | m_first->node.shape.right= m_prev; |
| 1068 | m_prev->node.shape.left= m_first; |
| 1069 | } |
| 1070 | } |
| 1071 | |
| 1072 | |
| 1073 | inline void calc_dx_dy(Gcalc_scan_iterator::point *p) |
| 1074 | { |
| 1075 | gcalc_sub_coord1(p->dx, p->next_pi->node.shape.ix, p->pi->node.shape.ix); |
| 1076 | gcalc_sub_coord1(p->dy, p->next_pi->node.shape.iy, p->pi->node.shape.iy); |
| 1077 | if (GCALC_SIGN(p->dx[0])) |
| 1078 | { |
| 1079 | p->l_border= &p->next_pi->node.shape.ix; |
| 1080 | p->r_border= &p->pi->node.shape.ix; |
| 1081 | } |
| 1082 | else |
| 1083 | { |
| 1084 | p->r_border= &p->next_pi->node.shape.ix; |
| 1085 | p->l_border= &p->pi->node.shape.ix; |
| 1086 | } |
| 1087 | } |
| 1088 | |
| 1089 | |
| 1090 | Gcalc_scan_iterator::Gcalc_scan_iterator(size_t blk_size) : |
| 1091 | Gcalc_dyn_list(blk_size, sizeof(point) > sizeof(intersection_info) ? |
| 1092 | sizeof(point) : |
| 1093 | sizeof(intersection_info)) |
| 1094 | { |
| 1095 | state.slice= NULL; |
| 1096 | m_bottom_points= NULL; |
| 1097 | m_bottom_hook= &m_bottom_points; |
| 1098 | } |
| 1099 | |
| 1100 | |
| 1101 | void Gcalc_scan_iterator::init(Gcalc_heap *points) |
| 1102 | { |
| 1103 | GCALC_DBUG_ASSERT(points->ready()); |
| 1104 | GCALC_DBUG_ASSERT(!state.slice); |
| 1105 | |
| 1106 | if (!(m_cur_pi= points->get_first())) |
| 1107 | return; |
| 1108 | m_heap= points; |
| 1109 | state.event_position_hook= &state.slice; |
| 1110 | state.event_end= NULL; |
| 1111 | #ifndef GCALC_DBUG_OFF |
| 1112 | m_cur_thread= 0; |
| 1113 | #endif /*GCALC_DBUG_OFF*/ |
| 1114 | GCALC_SET_TERMINATED(killed, 0); |
| 1115 | } |
| 1116 | |
| 1117 | void Gcalc_scan_iterator::reset() |
| 1118 | { |
| 1119 | state.slice= NULL; |
| 1120 | m_bottom_points= NULL; |
| 1121 | m_bottom_hook= &m_bottom_points; |
| 1122 | Gcalc_dyn_list::reset(); |
| 1123 | } |
| 1124 | |
| 1125 | |
| 1126 | int Gcalc_scan_iterator::point::cmp_dx_dy(const Gcalc_coord1 dx_a, |
| 1127 | const Gcalc_coord1 dy_a, |
| 1128 | const Gcalc_coord1 dx_b, |
| 1129 | const Gcalc_coord1 dy_b) |
| 1130 | { |
| 1131 | Gcalc_coord2 dx_a_dy_b; |
| 1132 | Gcalc_coord2 dy_a_dx_b; |
| 1133 | gcalc_mul_coord1(dx_a_dy_b, dx_a, dy_b); |
| 1134 | gcalc_mul_coord1(dy_a_dx_b, dy_a, dx_b); |
| 1135 | |
| 1136 | return gcalc_cmp_coord(dx_a_dy_b, dy_a_dx_b, GCALC_COORD_BASE2); |
| 1137 | } |
| 1138 | |
| 1139 | |
| 1140 | int Gcalc_scan_iterator::point::cmp_dx_dy(const Gcalc_heap::Info *p1, |
| 1141 | const Gcalc_heap::Info *p2, |
| 1142 | const Gcalc_heap::Info *p3, |
| 1143 | const Gcalc_heap::Info *p4) |
| 1144 | { |
| 1145 | Gcalc_coord1 dx_a, dy_a, dx_b, dy_b; |
| 1146 | gcalc_sub_coord1(dx_a, p2->node.shape.ix, p1->node.shape.ix); |
| 1147 | gcalc_sub_coord1(dy_a, p2->node.shape.iy, p1->node.shape.iy); |
| 1148 | gcalc_sub_coord1(dx_b, p4->node.shape.ix, p3->node.shape.ix); |
| 1149 | gcalc_sub_coord1(dy_b, p4->node.shape.iy, p3->node.shape.iy); |
| 1150 | return cmp_dx_dy(dx_a, dy_a, dx_b, dy_b); |
| 1151 | } |
| 1152 | |
| 1153 | |
| 1154 | int Gcalc_scan_iterator::point::cmp_dx_dy(const point *p) const |
| 1155 | { |
| 1156 | GCALC_DBUG_ASSERT(!is_bottom()); |
| 1157 | return cmp_dx_dy(dx, dy, p->dx, p->dy); |
| 1158 | } |
| 1159 | |
| 1160 | |
| 1161 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 1162 | void Gcalc_scan_iterator::point::calc_x(long double *x, long double y, |
| 1163 | long double ix) const |
| 1164 | { |
| 1165 | long double ddy= gcalc_get_double(dy, GCALC_COORD_BASE); |
| 1166 | if (fabsl(ddy) < (long double) 1e-20) |
| 1167 | { |
| 1168 | *x= ix; |
| 1169 | } |
| 1170 | else |
| 1171 | *x= (ddy * (long double) pi->node.shape.x + gcalc_get_double(dx, GCALC_COORD_BASE) * |
| 1172 | (y - pi->node.shape.y)) / ddy; |
| 1173 | } |
| 1174 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 1175 | |
| 1176 | |
| 1177 | static int compare_events(const void *e0, const void *e1) |
| 1178 | { |
| 1179 | const Gcalc_scan_iterator::point *p0= (const Gcalc_scan_iterator::point *)e0; |
| 1180 | const Gcalc_scan_iterator::point *p1= (const Gcalc_scan_iterator::point *)e1; |
| 1181 | return p0->cmp_dx_dy(p1) > 0; |
| 1182 | } |
| 1183 | |
| 1184 | |
| 1185 | int Gcalc_scan_iterator::arrange_event(int do_sorting, int n_intersections) |
| 1186 | { |
| 1187 | int ev_counter; |
| 1188 | point *sp; |
| 1189 | point **sp_hook; |
| 1190 | |
| 1191 | ev_counter= 0; |
| 1192 | |
| 1193 | *m_bottom_hook= NULL; |
| 1194 | for (sp= m_bottom_points; sp; sp= sp->get_next()) |
| 1195 | sp->ev_next= sp->get_next(); |
| 1196 | |
| 1197 | for (sp= state.slice, sp_hook= &state.slice; |
| 1198 | sp; sp_hook= sp->next_ptr(), sp= sp->get_next()) |
| 1199 | { |
| 1200 | if (sp->event) |
| 1201 | { |
| 1202 | state.event_position_hook= sp_hook; |
| 1203 | break; |
| 1204 | } |
| 1205 | } |
| 1206 | |
| 1207 | for (sp= *(sp_hook= state.event_position_hook); |
| 1208 | sp && sp->event; sp_hook= sp->next_ptr(), sp= sp->get_next()) |
| 1209 | { |
| 1210 | ev_counter++; |
| 1211 | if (sp->get_next() && sp->get_next()->event) |
| 1212 | sp->ev_next= sp->get_next(); |
| 1213 | else |
| 1214 | sp->ev_next= m_bottom_points; |
| 1215 | } |
| 1216 | |
| 1217 | #ifndef GCALC_DBUG_OFF |
| 1218 | { |
| 1219 | point *cur_p= sp; |
| 1220 | for (; cur_p; cur_p= cur_p->get_next()) |
| 1221 | GCALC_DBUG_ASSERT(!cur_p->event); |
| 1222 | } |
| 1223 | #endif /*GCALC_DBUG_OFF*/ |
| 1224 | |
| 1225 | state.event_end= sp; |
| 1226 | |
| 1227 | if (ev_counter == 2 && n_intersections == 1) |
| 1228 | { |
| 1229 | /* If we had only intersection, just swap the two points. */ |
| 1230 | sp= *state.event_position_hook; |
| 1231 | *state.event_position_hook= sp->get_next(); |
| 1232 | sp->next= (*state.event_position_hook)->next; |
| 1233 | (*state.event_position_hook)->next= sp; |
| 1234 | |
| 1235 | /* The list of the events should be restored. */ |
| 1236 | (*state.event_position_hook)->ev_next= sp; |
| 1237 | sp->ev_next= m_bottom_points; |
| 1238 | } |
| 1239 | else if (ev_counter == 2 && get_events()->event == scev_two_threads) |
| 1240 | { |
| 1241 | /* Do nothing. */ |
| 1242 | } |
| 1243 | else if (ev_counter > 1 && do_sorting) |
| 1244 | { |
| 1245 | point *cur_p; |
| 1246 | *sp_hook= NULL; |
| 1247 | sp= (point *) sort_list(compare_events, *state.event_position_hook, |
| 1248 | ev_counter); |
| 1249 | /* Find last item in the list, it's changed after the sorting. */ |
| 1250 | for (cur_p= sp->get_next(); cur_p->get_next(); |
| 1251 | cur_p= cur_p->get_next()) |
| 1252 | {} |
| 1253 | cur_p->next= state.event_end; |
| 1254 | *state.event_position_hook= sp; |
| 1255 | /* The list of the events should be restored. */ |
| 1256 | for (; sp && sp->event; sp= sp->get_next()) |
| 1257 | { |
| 1258 | if (sp->get_next() && sp->get_next()->event) |
| 1259 | sp->ev_next= sp->get_next(); |
| 1260 | else |
| 1261 | sp->ev_next= m_bottom_points; |
| 1262 | } |
| 1263 | } |
| 1264 | |
| 1265 | #ifndef GCALC_DBUG_OFF |
| 1266 | { |
| 1267 | const event_point *ev= get_events(); |
| 1268 | for (; ev && ev->get_next(); ev= ev->get_next()) |
| 1269 | { |
| 1270 | if (ev->is_bottom() || ev->get_next()->is_bottom()) |
| 1271 | break; |
| 1272 | GCALC_DBUG_ASSERT(ev->cmp_dx_dy(ev->get_next()) <= 0); |
| 1273 | } |
| 1274 | } |
| 1275 | #endif /*GCALC_DBUG_OFF*/ |
| 1276 | return 0; |
| 1277 | } |
| 1278 | |
| 1279 | |
| 1280 | int Gcalc_heap::Info::equal_pi(const Info *pi) const |
| 1281 | { |
| 1282 | if (type == nt_intersection) |
| 1283 | return node.intersection.equal; |
| 1284 | if (pi->type == nt_eq_node) |
| 1285 | return 1; |
| 1286 | if (type == nt_eq_node || pi->type == nt_intersection) |
| 1287 | return 0; |
| 1288 | return cmp_point_info(this, pi) == 0; |
| 1289 | } |
| 1290 | |
| 1291 | int Gcalc_scan_iterator::step() |
| 1292 | { |
| 1293 | int result= 0; |
| 1294 | int do_sorting= 0; |
| 1295 | int n_intersections= 0; |
| 1296 | point *sp; |
| 1297 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::step" ); |
| 1298 | GCALC_DBUG_ASSERT(more_points()); |
| 1299 | |
| 1300 | if (GCALC_TERMINATED(killed)) |
| 1301 | GCALC_DBUG_RETURN(0xFFFF); |
| 1302 | |
| 1303 | /* Clear the old event marks. */ |
| 1304 | if (m_bottom_points) |
| 1305 | { |
| 1306 | free_list((Gcalc_dyn_list::Item **) &m_bottom_points, |
| 1307 | (Gcalc_dyn_list::Item **) m_bottom_hook); |
| 1308 | m_bottom_points= NULL; |
| 1309 | m_bottom_hook= &m_bottom_points; |
| 1310 | } |
| 1311 | for (sp= *state.event_position_hook; |
| 1312 | sp != state.event_end; sp= sp->get_next()) |
| 1313 | sp->event= scev_none; |
| 1314 | |
| 1315 | //#ifndef GCALC_DBUG_OFF |
| 1316 | state.event_position_hook= NULL; |
| 1317 | state.pi= NULL; |
| 1318 | //#endif /*GCALC_DBUG_OFF*/ |
| 1319 | |
| 1320 | do |
| 1321 | { |
| 1322 | #ifndef GCALC_DBUG_OFF |
| 1323 | if (m_cur_pi->type == Gcalc_heap::nt_intersection && |
| 1324 | m_cur_pi->get_next()->type == Gcalc_heap::nt_intersection && |
| 1325 | m_cur_pi->node.intersection.equal) |
| 1326 | GCALC_DBUG_ASSERT(cmp_intersections(m_cur_pi, m_cur_pi->get_next()) == 0); |
| 1327 | #endif /*GCALC_DBUG_OFF*/ |
| 1328 | GCALC_DBUG_CHECK_COUNTER(); |
| 1329 | GCALC_DBUG_PRINT_SLICE("step:" , state.slice); |
| 1330 | GCALC_DBUG_PRINT_PI(m_cur_pi); |
| 1331 | if (m_cur_pi->type == Gcalc_heap::nt_shape_node) |
| 1332 | { |
| 1333 | if (m_cur_pi->is_top()) |
| 1334 | { |
| 1335 | result= insert_top_node(); |
| 1336 | if (!m_cur_pi->is_bottom()) |
| 1337 | do_sorting++; |
| 1338 | } |
| 1339 | else if (m_cur_pi->is_bottom()) |
| 1340 | remove_bottom_node(); |
| 1341 | else |
| 1342 | { |
| 1343 | do_sorting++; |
| 1344 | result= node_scan(); |
| 1345 | } |
| 1346 | if (result) |
| 1347 | GCALC_DBUG_RETURN(result); |
| 1348 | state.pi= m_cur_pi; |
| 1349 | } |
| 1350 | else if (m_cur_pi->type == Gcalc_heap::nt_eq_node) |
| 1351 | { |
| 1352 | do_sorting++; |
| 1353 | eq_scan(); |
| 1354 | } |
| 1355 | else |
| 1356 | { |
| 1357 | /* nt_intersection */ |
| 1358 | do_sorting++; |
| 1359 | n_intersections++; |
| 1360 | intersection_scan(); |
| 1361 | if (!state.pi || state.pi->type == Gcalc_heap::nt_intersection) |
| 1362 | state.pi= m_cur_pi; |
| 1363 | } |
| 1364 | |
| 1365 | m_cur_pi= m_cur_pi->get_next(); |
| 1366 | } while (m_cur_pi && state.pi->equal_pi(m_cur_pi)); |
| 1367 | |
| 1368 | GCALC_DBUG_RETURN(arrange_event(do_sorting, n_intersections)); |
| 1369 | } |
| 1370 | |
| 1371 | |
| 1372 | static int node_on_right(const Gcalc_heap::Info *node, |
| 1373 | const Gcalc_heap::Info *edge_a, const Gcalc_heap::Info *edge_b) |
| 1374 | { |
| 1375 | Gcalc_coord1 a_x, a_y; |
| 1376 | Gcalc_coord1 b_x, b_y; |
| 1377 | Gcalc_coord2 ax_by, ay_bx; |
| 1378 | int result; |
| 1379 | |
| 1380 | gcalc_sub_coord1(a_x, node->node.shape.ix, edge_a->node.shape.ix); |
| 1381 | gcalc_sub_coord1(a_y, node->node.shape.iy, edge_a->node.shape.iy); |
| 1382 | gcalc_sub_coord1(b_x, edge_b->node.shape.ix, edge_a->node.shape.ix); |
| 1383 | gcalc_sub_coord1(b_y, edge_b->node.shape.iy, edge_a->node.shape.iy); |
| 1384 | gcalc_mul_coord1(ax_by, a_x, b_y); |
| 1385 | gcalc_mul_coord1(ay_bx, a_y, b_x); |
| 1386 | result= gcalc_cmp_coord(ax_by, ay_bx, GCALC_COORD_BASE2); |
| 1387 | #ifdef GCALC_CHECK_WITH_FLOAT |
| 1388 | { |
| 1389 | long double dx= gcalc_get_double(edge_b->node.shape.ix, GCALC_COORD_BASE) - |
| 1390 | gcalc_get_double(edge_a->node.shape.ix, GCALC_COORD_BASE); |
| 1391 | long double dy= gcalc_get_double(edge_b->node.shape.iy, GCALC_COORD_BASE) - |
| 1392 | gcalc_get_double(edge_a->node.shape.iy, GCALC_COORD_BASE); |
| 1393 | long double ax= gcalc_get_double(node->node.shape.ix, GCALC_COORD_BASE) - |
| 1394 | gcalc_get_double(edge_a->node.shape.ix, GCALC_COORD_BASE); |
| 1395 | long double ay= gcalc_get_double(node->node.shape.iy, GCALC_COORD_BASE) - |
| 1396 | gcalc_get_double(edge_a->node.shape.iy, GCALC_COORD_BASE); |
| 1397 | long double d= ax * dy - ay * dx; |
| 1398 | if (result == 0) |
| 1399 | GCALC_DBUG_ASSERT(de_check(d, 0.0)); |
| 1400 | else if (result < 0) |
| 1401 | GCALC_DBUG_ASSERT(de_check(d, 0.0) || d < 0); |
| 1402 | else |
| 1403 | GCALC_DBUG_ASSERT(de_check(d, 0.0) || d > 0); |
| 1404 | } |
| 1405 | #endif /*GCALC_CHECK_WITH_FLOAT*/ |
| 1406 | return result; |
| 1407 | } |
| 1408 | |
| 1409 | |
| 1410 | static int cmp_tops(const Gcalc_heap::Info *top_node, |
| 1411 | const Gcalc_heap::Info *edge_a, const Gcalc_heap::Info *edge_b) |
| 1412 | { |
| 1413 | int cmp_res_a, cmp_res_b; |
| 1414 | |
| 1415 | cmp_res_a= gcalc_cmp_coord1(edge_a->node.shape.ix, top_node->node.shape.ix); |
| 1416 | cmp_res_b= gcalc_cmp_coord1(edge_b->node.shape.ix, top_node->node.shape.ix); |
| 1417 | |
| 1418 | if (cmp_res_a <= 0 && cmp_res_b > 0) |
| 1419 | return -1; |
| 1420 | if (cmp_res_b <= 0 && cmp_res_a > 0) |
| 1421 | return 1; |
| 1422 | if (cmp_res_a == 0 && cmp_res_b == 0) |
| 1423 | return 0; |
| 1424 | |
| 1425 | return node_on_right(edge_a, top_node, edge_b); |
| 1426 | } |
| 1427 | |
| 1428 | |
| 1429 | int Gcalc_scan_iterator::insert_top_node() |
| 1430 | { |
| 1431 | point *sp= state.slice; |
| 1432 | point **prev_hook= &state.slice; |
| 1433 | point *sp1= NULL; |
| 1434 | point *sp0= new_slice_point(); |
| 1435 | int cmp_res; |
| 1436 | |
| 1437 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::insert_top_node" ); |
| 1438 | if (!sp0) |
| 1439 | GCALC_DBUG_RETURN(1); |
| 1440 | sp0->pi= m_cur_pi; |
| 1441 | sp0->next_pi= m_cur_pi->node.shape.left; |
| 1442 | #ifndef GCALC_DBUG_OFF |
| 1443 | sp0->thread= m_cur_thread++; |
| 1444 | #endif /*GCALC_DBUG_OFF*/ |
| 1445 | if (m_cur_pi->node.shape.left) |
| 1446 | { |
| 1447 | calc_dx_dy(sp0); |
| 1448 | if (m_cur_pi->node.shape.right) |
| 1449 | { |
| 1450 | if (!(sp1= new_slice_point())) |
| 1451 | GCALC_DBUG_RETURN(1); |
| 1452 | sp1->event= sp0->event= scev_two_threads; |
| 1453 | sp1->pi= m_cur_pi; |
| 1454 | sp1->next_pi= m_cur_pi->node.shape.right; |
| 1455 | #ifndef GCALC_DBUG_OFF |
| 1456 | sp1->thread= m_cur_thread++; |
| 1457 | #endif /*GCALC_DBUG_OFF*/ |
| 1458 | calc_dx_dy(sp1); |
| 1459 | /* We have two threads so should decide which one will be first */ |
| 1460 | cmp_res= cmp_tops(m_cur_pi, m_cur_pi->node.shape.left, m_cur_pi->node.shape.right); |
| 1461 | if (cmp_res > 0) |
| 1462 | { |
| 1463 | point *tmp= sp0; |
| 1464 | sp0= sp1; |
| 1465 | sp1= tmp; |
| 1466 | } |
| 1467 | else if (cmp_res == 0) |
| 1468 | { |
| 1469 | /* Exactly same direction of the edges. */ |
| 1470 | cmp_res= gcalc_cmp_coord1(m_cur_pi->node.shape.left->node.shape.iy, m_cur_pi->node.shape.right->node.shape.iy); |
| 1471 | if (cmp_res != 0) |
| 1472 | { |
| 1473 | if (cmp_res < 0) |
| 1474 | { |
| 1475 | if (add_eq_node(sp0->next_pi, sp1)) |
| 1476 | GCALC_DBUG_RETURN(1); |
| 1477 | } |
| 1478 | else |
| 1479 | { |
| 1480 | if (add_eq_node(sp1->next_pi, sp0)) |
| 1481 | GCALC_DBUG_RETURN(1); |
| 1482 | } |
| 1483 | } |
| 1484 | else |
| 1485 | { |
| 1486 | cmp_res= gcalc_cmp_coord1(m_cur_pi->node.shape.left->node.shape.ix, m_cur_pi->node.shape.right->node.shape.ix); |
| 1487 | if (cmp_res != 0) |
| 1488 | { |
| 1489 | if (cmp_res < 0) |
| 1490 | { |
| 1491 | if (add_eq_node(sp0->next_pi, sp1)) |
| 1492 | GCALC_DBUG_RETURN(1); |
| 1493 | } |
| 1494 | else |
| 1495 | { |
| 1496 | if (add_eq_node(sp1->next_pi, sp0)) |
| 1497 | GCALC_DBUG_RETURN(1); |
| 1498 | } |
| 1499 | } |
| 1500 | } |
| 1501 | } |
| 1502 | } |
| 1503 | else |
| 1504 | sp0->event= scev_thread; |
| 1505 | } |
| 1506 | else |
| 1507 | sp0->event= scev_single_point; |
| 1508 | |
| 1509 | |
| 1510 | /* Check if we already have an event - then we'll place the node there */ |
| 1511 | for (; sp && !sp->event; prev_hook= sp->next_ptr(), sp=sp->get_next()) |
| 1512 | {} |
| 1513 | if (!sp) |
| 1514 | { |
| 1515 | sp= state.slice; |
| 1516 | prev_hook= &state.slice; |
| 1517 | /* We need to find the place to insert. */ |
| 1518 | for (; sp; prev_hook= sp->next_ptr(), sp=sp->get_next()) |
| 1519 | { |
| 1520 | if (sp->event || gcalc_cmp_coord1(*sp->r_border, m_cur_pi->node.shape.ix) < 0) |
| 1521 | continue; |
| 1522 | cmp_res= node_on_right(m_cur_pi, sp->pi, sp->next_pi); |
| 1523 | if (cmp_res == 0) |
| 1524 | { |
| 1525 | /* The top node lies on the edge. */ |
| 1526 | /* Nodes of that edge will be handled in other places. */ |
| 1527 | sp->event= scev_intersection; |
| 1528 | } |
| 1529 | else if (cmp_res < 0) |
| 1530 | break; |
| 1531 | } |
| 1532 | } |
| 1533 | |
| 1534 | if (sp0->event == scev_single_point) |
| 1535 | { |
| 1536 | /* Add single point to the bottom list. */ |
| 1537 | *m_bottom_hook= sp0; |
| 1538 | m_bottom_hook= sp0->next_ptr(); |
| 1539 | state.event_position_hook= prev_hook; |
| 1540 | } |
| 1541 | else |
| 1542 | { |
| 1543 | *prev_hook= sp0; |
| 1544 | sp0->next= sp; |
| 1545 | if (add_events_for_node(sp0)) |
| 1546 | GCALC_DBUG_RETURN(1); |
| 1547 | |
| 1548 | if (sp0->event == scev_two_threads) |
| 1549 | { |
| 1550 | *prev_hook= sp1; |
| 1551 | sp1->next= sp; |
| 1552 | if (add_events_for_node(sp1)) |
| 1553 | GCALC_DBUG_RETURN(1); |
| 1554 | |
| 1555 | sp0->next= sp1; |
| 1556 | *prev_hook= sp0; |
| 1557 | } |
| 1558 | } |
| 1559 | |
| 1560 | GCALC_DBUG_RETURN(0); |
| 1561 | } |
| 1562 | |
| 1563 | |
| 1564 | void Gcalc_scan_iterator::remove_bottom_node() |
| 1565 | { |
| 1566 | point *sp= state.slice; |
| 1567 | point **sp_hook= &state.slice; |
| 1568 | point *first_bottom_point= NULL; |
| 1569 | |
| 1570 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::remove_bottom_node" ); |
| 1571 | for (; sp; sp= sp->get_next()) |
| 1572 | { |
| 1573 | if (sp->next_pi == m_cur_pi) |
| 1574 | { |
| 1575 | *sp_hook= sp->get_next(); |
| 1576 | sp->pi= m_cur_pi; |
| 1577 | sp->next_pi= NULL; |
| 1578 | if (first_bottom_point) |
| 1579 | { |
| 1580 | first_bottom_point->event= sp->event= scev_two_ends; |
| 1581 | break; |
| 1582 | } |
| 1583 | first_bottom_point= sp; |
| 1584 | sp->event= scev_end; |
| 1585 | state.event_position_hook= sp_hook; |
| 1586 | } |
| 1587 | else |
| 1588 | sp_hook= sp->next_ptr(); |
| 1589 | } |
| 1590 | GCALC_DBUG_ASSERT(first_bottom_point); |
| 1591 | *m_bottom_hook= first_bottom_point; |
| 1592 | m_bottom_hook= first_bottom_point->next_ptr(); |
| 1593 | if (sp) |
| 1594 | { |
| 1595 | *m_bottom_hook= sp; |
| 1596 | m_bottom_hook= sp->next_ptr(); |
| 1597 | } |
| 1598 | |
| 1599 | GCALC_DBUG_VOID_RETURN; |
| 1600 | } |
| 1601 | |
| 1602 | |
| 1603 | int Gcalc_scan_iterator::add_events_for_node(point *sp_node) |
| 1604 | { |
| 1605 | point *sp= state.slice; |
| 1606 | int cur_pi_r, sp_pi_r; |
| 1607 | |
| 1608 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::add_events_for_node" ); |
| 1609 | |
| 1610 | /* Scan to the event point. */ |
| 1611 | for (; sp != sp_node; sp= sp->get_next()) |
| 1612 | { |
| 1613 | GCALC_DBUG_ASSERT(!sp->is_bottom()); |
| 1614 | GCALC_DBUG_PRINT(("left cut_edge %d" , sp->thread)); |
| 1615 | if (sp->next_pi == sp_node->next_pi || |
| 1616 | gcalc_cmp_coord1(*sp->r_border, *sp_node->l_border) < 0) |
| 1617 | continue; |
| 1618 | sp_pi_r= node_on_right(sp->next_pi, sp_node->pi, sp_node->next_pi); |
| 1619 | if (sp_pi_r < 0) |
| 1620 | continue; |
| 1621 | cur_pi_r= node_on_right(sp_node->next_pi, sp->pi, sp->next_pi); |
| 1622 | if (cur_pi_r > 0) |
| 1623 | continue; |
| 1624 | if (cur_pi_r == 0 && sp_pi_r == 0) |
| 1625 | { |
| 1626 | int cmp_res= cmp_point_info(sp->next_pi, sp_node->next_pi); |
| 1627 | if (cmp_res > 0) |
| 1628 | { |
| 1629 | if (add_eq_node(sp_node->next_pi, sp)) |
| 1630 | GCALC_DBUG_RETURN(1); |
| 1631 | } |
| 1632 | else if (cmp_res < 0) |
| 1633 | { |
| 1634 | if (add_eq_node(sp->next_pi, sp_node)) |
| 1635 | GCALC_DBUG_RETURN(1); |
| 1636 | } |
| 1637 | continue; |
| 1638 | } |
| 1639 | |
| 1640 | if (cur_pi_r == 0) |
| 1641 | { |
| 1642 | if (add_eq_node(sp_node->next_pi, sp)) |
| 1643 | GCALC_DBUG_RETURN(1); |
| 1644 | continue; |
| 1645 | } |
| 1646 | else if (sp_pi_r == 0) |
| 1647 | { |
| 1648 | if (add_eq_node(sp->next_pi, sp_node)) |
| 1649 | GCALC_DBUG_RETURN(1); |
| 1650 | continue; |
| 1651 | } |
| 1652 | |
| 1653 | if (sp->event) |
| 1654 | { |
| 1655 | #ifndef GCALC_DBUG_OFF |
| 1656 | cur_pi_r= node_on_right(sp_node->pi, sp->pi, sp->next_pi); |
| 1657 | GCALC_DBUG_ASSERT(cur_pi_r == 0); |
| 1658 | #endif /*GCALC_DBUG_OFF*/ |
| 1659 | continue; |
| 1660 | } |
| 1661 | cur_pi_r= node_on_right(sp_node->pi, sp->pi, sp->next_pi); |
| 1662 | GCALC_DBUG_ASSERT(cur_pi_r >= 0); |
| 1663 | //GCALC_DBUG_ASSERT(cur_pi_r > 0); /* Is it ever violated? */ |
| 1664 | if (cur_pi_r > 0 && add_intersection(sp, sp_node, m_cur_pi)) |
| 1665 | GCALC_DBUG_RETURN(1); |
| 1666 | } |
| 1667 | |
| 1668 | /* Scan to the end of the slice */ |
| 1669 | sp= sp->get_next(); |
| 1670 | |
| 1671 | for (; sp; sp= sp->get_next()) |
| 1672 | { |
| 1673 | GCALC_DBUG_ASSERT(!sp->is_bottom()); |
| 1674 | GCALC_DBUG_PRINT(("right cut_edge %d" , sp->thread)); |
| 1675 | if (sp->next_pi == sp_node->next_pi || |
| 1676 | gcalc_cmp_coord1(*sp_node->r_border, *sp->l_border) < 0) |
| 1677 | continue; |
| 1678 | sp_pi_r= node_on_right(sp->next_pi, sp_node->pi, sp_node->next_pi); |
| 1679 | if (sp_pi_r > 0) |
| 1680 | continue; |
| 1681 | cur_pi_r= node_on_right(sp_node->next_pi, sp->pi, sp->next_pi); |
| 1682 | if (cur_pi_r < 0) |
| 1683 | continue; |
| 1684 | if (cur_pi_r == 0 && sp_pi_r == 0) |
| 1685 | { |
| 1686 | int cmp_res= cmp_point_info(sp->next_pi, sp_node->next_pi); |
| 1687 | if (cmp_res > 0) |
| 1688 | { |
| 1689 | if (add_eq_node(sp_node->next_pi, sp)) |
| 1690 | GCALC_DBUG_RETURN(1); |
| 1691 | } |
| 1692 | else if (cmp_res < 0) |
| 1693 | { |
| 1694 | if (add_eq_node(sp->next_pi, sp_node)) |
| 1695 | GCALC_DBUG_RETURN(1); |
| 1696 | } |
| 1697 | continue; |
| 1698 | } |
| 1699 | if (cur_pi_r == 0) |
| 1700 | { |
| 1701 | if (add_eq_node(sp_node->next_pi, sp)) |
| 1702 | GCALC_DBUG_RETURN(1); |
| 1703 | continue; |
| 1704 | } |
| 1705 | else if (sp_pi_r == 0) |
| 1706 | { |
| 1707 | if (add_eq_node(sp->next_pi, sp_node)) |
| 1708 | GCALC_DBUG_RETURN(1); |
| 1709 | continue; |
| 1710 | } |
| 1711 | |
| 1712 | if (sp->event) |
| 1713 | { |
| 1714 | #ifndef GCALC_DBUG_OFF |
| 1715 | cur_pi_r= node_on_right(sp_node->pi, sp->pi, sp->next_pi); |
| 1716 | GCALC_DBUG_ASSERT(cur_pi_r == 0); |
| 1717 | #endif /*GCALC_DBUG_OFF*/ |
| 1718 | continue; |
| 1719 | } |
| 1720 | cur_pi_r= node_on_right(sp_node->pi, sp->pi, sp->next_pi); |
| 1721 | GCALC_DBUG_ASSERT(cur_pi_r <= 0); |
| 1722 | //GCALC_DBUG_ASSERT(cur_pi_r < 0); /* Is it ever violated? */ |
| 1723 | if (cur_pi_r < 0 && add_intersection(sp_node, sp, m_cur_pi)) |
| 1724 | GCALC_DBUG_RETURN(1); |
| 1725 | } |
| 1726 | |
| 1727 | GCALC_DBUG_RETURN(0); |
| 1728 | } |
| 1729 | |
| 1730 | |
| 1731 | int Gcalc_scan_iterator::node_scan() |
| 1732 | { |
| 1733 | point *sp= state.slice; |
| 1734 | Gcalc_heap::Info *cur_pi= m_cur_pi; |
| 1735 | |
| 1736 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::node_scan" ); |
| 1737 | |
| 1738 | /* Scan to the event point. */ |
| 1739 | /* Can be avoided if we add link to the sp to the Info. */ |
| 1740 | for (; sp->next_pi != cur_pi; sp= sp->get_next()) |
| 1741 | {} |
| 1742 | |
| 1743 | GCALC_DBUG_PRINT(("node for %d" , sp->thread)); |
| 1744 | /* Handle the point itself. */ |
| 1745 | sp->pi= cur_pi; |
| 1746 | sp->next_pi= cur_pi->node.shape.left; |
| 1747 | sp->event= scev_point; |
| 1748 | calc_dx_dy(sp); |
| 1749 | |
| 1750 | GCALC_DBUG_RETURN(add_events_for_node(sp)); |
| 1751 | } |
| 1752 | |
| 1753 | |
| 1754 | void Gcalc_scan_iterator::eq_scan() |
| 1755 | { |
| 1756 | point *sp= eq_sp(m_cur_pi); |
| 1757 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::eq_scan" ); |
| 1758 | |
| 1759 | #ifndef GCALC_DBUG_OFF |
| 1760 | { |
| 1761 | point *cur_p= state.slice; |
| 1762 | for (; cur_p && cur_p != sp; cur_p= cur_p->get_next()) |
| 1763 | {} |
| 1764 | GCALC_DBUG_ASSERT(cur_p); |
| 1765 | } |
| 1766 | #endif /*GCALC_DBUG_OFF*/ |
| 1767 | if (!sp->event) |
| 1768 | { |
| 1769 | sp->event= scev_intersection; |
| 1770 | sp->ev_pi= m_cur_pi; |
| 1771 | } |
| 1772 | |
| 1773 | GCALC_DBUG_VOID_RETURN; |
| 1774 | } |
| 1775 | |
| 1776 | |
| 1777 | void Gcalc_scan_iterator::intersection_scan() |
| 1778 | { |
| 1779 | intersection_info *ii= i_data(m_cur_pi); |
| 1780 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::intersection_scan" ); |
| 1781 | |
| 1782 | #ifndef GCALC_DBUG_OFF |
| 1783 | { |
| 1784 | point *sp= state.slice; |
| 1785 | for (; sp && sp != ii->edge_a; sp= sp->get_next()) |
| 1786 | {} |
| 1787 | GCALC_DBUG_ASSERT(sp); |
| 1788 | for (; sp && sp != ii->edge_b; sp= sp->get_next()) |
| 1789 | {} |
| 1790 | GCALC_DBUG_ASSERT(sp); |
| 1791 | } |
| 1792 | #endif /*GCALC_DBUG_OFF*/ |
| 1793 | |
| 1794 | ii->edge_a->event= ii->edge_b->event= scev_intersection; |
| 1795 | ii->edge_a->ev_pi= ii->edge_b->ev_pi= m_cur_pi; |
| 1796 | free_item(ii); |
| 1797 | m_cur_pi->node.intersection.data= NULL; |
| 1798 | |
| 1799 | GCALC_DBUG_VOID_RETURN; |
| 1800 | } |
| 1801 | |
| 1802 | |
| 1803 | int Gcalc_scan_iterator::add_intersection(point *sp_a, point *sp_b, |
| 1804 | Gcalc_heap::Info *pi_from) |
| 1805 | { |
| 1806 | Gcalc_heap::Info *ii; |
| 1807 | intersection_info *i_calc; |
| 1808 | int cmp_res; |
| 1809 | int skip_next= 0; |
| 1810 | |
| 1811 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::add_intersection" ); |
| 1812 | if (!(i_calc= new_intersection_info(sp_a, sp_b)) || |
| 1813 | !(ii= new_intersection(m_heap, i_calc))) |
| 1814 | GCALC_DBUG_RETURN(1); |
| 1815 | |
| 1816 | ii->node.intersection.equal= 0; |
| 1817 | |
| 1818 | for (; |
| 1819 | pi_from->get_next() != sp_a->next_pi && |
| 1820 | pi_from->get_next() != sp_b->next_pi; |
| 1821 | pi_from= pi_from->get_next()) |
| 1822 | { |
| 1823 | Gcalc_heap::Info *cur= pi_from->get_next(); |
| 1824 | if (skip_next) |
| 1825 | { |
| 1826 | if (cur->type == Gcalc_heap::nt_intersection) |
| 1827 | skip_next= cur->node.intersection.equal; |
| 1828 | else |
| 1829 | skip_next= 0; |
| 1830 | continue; |
| 1831 | } |
| 1832 | if (cur->type == Gcalc_heap::nt_intersection) |
| 1833 | { |
| 1834 | cmp_res= cmp_intersections(cur, ii); |
| 1835 | skip_next= cur->node.intersection.equal; |
| 1836 | } |
| 1837 | else if (cur->type == Gcalc_heap::nt_eq_node) |
| 1838 | continue; |
| 1839 | else |
| 1840 | cmp_res= cmp_node_isc(cur, ii); |
| 1841 | if (cmp_res == 0) |
| 1842 | { |
| 1843 | ii->node.intersection.equal= 1; |
| 1844 | break; |
| 1845 | } |
| 1846 | else if (cmp_res > 0) |
| 1847 | break; |
| 1848 | } |
| 1849 | |
| 1850 | /* Intersection inserted before the equal point. */ |
| 1851 | ii->next= pi_from->get_next(); |
| 1852 | pi_from->next= ii; |
| 1853 | |
| 1854 | GCALC_DBUG_RETURN(0); |
| 1855 | } |
| 1856 | |
| 1857 | |
| 1858 | int Gcalc_scan_iterator::add_eq_node(Gcalc_heap::Info *node, point *sp) |
| 1859 | { |
| 1860 | Gcalc_heap::Info *en; |
| 1861 | |
| 1862 | GCALC_DBUG_ENTER("Gcalc_scan_iterator::add_intersection" ); |
| 1863 | en= new_eq_point(m_heap, node, sp); |
| 1864 | if (!en) |
| 1865 | GCALC_DBUG_RETURN(1); |
| 1866 | |
| 1867 | /* eq_node iserted after teh equal point. */ |
| 1868 | en->next= node->get_next(); |
| 1869 | node->next= en; |
| 1870 | |
| 1871 | GCALC_DBUG_RETURN(0); |
| 1872 | } |
| 1873 | |
| 1874 | |
| 1875 | void calc_t(Gcalc_coord2 t_a, Gcalc_coord2 t_b, |
| 1876 | Gcalc_coord1 dxa, Gcalc_coord1 dxb, |
| 1877 | const Gcalc_heap::Info *p1, const Gcalc_heap::Info *p2, |
| 1878 | const Gcalc_heap::Info *p3, const Gcalc_heap::Info *p4) |
| 1879 | { |
| 1880 | Gcalc_coord1 a2_a1x, a2_a1y; |
| 1881 | Gcalc_coord2 x1y2, x2y1; |
| 1882 | Gcalc_coord1 dya, dyb; |
| 1883 | |
| 1884 | gcalc_sub_coord1(a2_a1x, p3->node.shape.ix, p1->node.shape.ix); |
| 1885 | gcalc_sub_coord1(a2_a1y, p3->node.shape.iy, p1->node.shape.iy); |
| 1886 | |
| 1887 | gcalc_sub_coord1(dxa, p2->node.shape.ix, p1->node.shape.ix); |
| 1888 | gcalc_sub_coord1(dya, p2->node.shape.iy, p1->node.shape.iy); |
| 1889 | gcalc_sub_coord1(dxb, p4->node.shape.ix, p3->node.shape.ix); |
| 1890 | gcalc_sub_coord1(dyb, p4->node.shape.iy, p3->node.shape.iy); |
| 1891 | |
| 1892 | gcalc_mul_coord1(x1y2, dxa, dyb); |
| 1893 | gcalc_mul_coord1(x2y1, dya, dxb); |
| 1894 | gcalc_sub_coord(t_b, GCALC_COORD_BASE2, x1y2, x2y1); |
| 1895 | |
| 1896 | |
| 1897 | gcalc_mul_coord1(x1y2, a2_a1x, dyb); |
| 1898 | gcalc_mul_coord1(x2y1, a2_a1y, dxb); |
| 1899 | gcalc_sub_coord(t_a, GCALC_COORD_BASE2, x1y2, x2y1); |
| 1900 | } |
| 1901 | |
| 1902 | |
| 1903 | double Gcalc_scan_iterator::get_y() const |
| 1904 | { |
| 1905 | if (state.pi->type == Gcalc_heap::nt_intersection) |
| 1906 | { |
| 1907 | Gcalc_coord1 dxa, dya; |
| 1908 | Gcalc_coord2 t_a, t_b; |
| 1909 | Gcalc_coord3 a_tb, b_ta, y_exp; |
| 1910 | calc_t(t_a, t_b, dxa, dya, |
| 1911 | state.pi->node.intersection.p1, state.pi->node.intersection.p2, state.pi->node.intersection.p3, state.pi->node.intersection.p4); |
| 1912 | |
| 1913 | |
| 1914 | gcalc_mul_coord(a_tb, GCALC_COORD_BASE3, |
| 1915 | t_b, GCALC_COORD_BASE2, state.pi->node.intersection.p1->node.shape.iy, GCALC_COORD_BASE); |
| 1916 | gcalc_mul_coord(b_ta, GCALC_COORD_BASE3, |
| 1917 | t_a, GCALC_COORD_BASE2, dya, GCALC_COORD_BASE); |
| 1918 | |
| 1919 | gcalc_add_coord(y_exp, GCALC_COORD_BASE3, a_tb, b_ta); |
| 1920 | |
| 1921 | return (get_pure_double(y_exp, GCALC_COORD_BASE3) / |
| 1922 | get_pure_double(t_b, GCALC_COORD_BASE2)) / m_heap->coord_extent; |
| 1923 | } |
| 1924 | else |
| 1925 | return state.pi->node.shape.y; |
| 1926 | } |
| 1927 | |
| 1928 | |
| 1929 | double Gcalc_scan_iterator::get_event_x() const |
| 1930 | { |
| 1931 | if (state.pi->type == Gcalc_heap::nt_intersection) |
| 1932 | { |
| 1933 | Gcalc_coord1 dxa, dya; |
| 1934 | Gcalc_coord2 t_a, t_b; |
| 1935 | Gcalc_coord3 a_tb, b_ta, x_exp; |
| 1936 | calc_t(t_a, t_b, dxa, dya, |
| 1937 | state.pi->node.intersection.p1, state.pi->node.intersection.p2, state.pi->node.intersection.p3, state.pi->node.intersection.p4); |
| 1938 | |
| 1939 | |
| 1940 | gcalc_mul_coord(a_tb, GCALC_COORD_BASE3, |
| 1941 | t_b, GCALC_COORD_BASE2, state.pi->node.intersection.p1->node.shape.ix, GCALC_COORD_BASE); |
| 1942 | gcalc_mul_coord(b_ta, GCALC_COORD_BASE3, |
| 1943 | t_a, GCALC_COORD_BASE2, dxa, GCALC_COORD_BASE); |
| 1944 | |
| 1945 | gcalc_add_coord(x_exp, GCALC_COORD_BASE3, a_tb, b_ta); |
| 1946 | |
| 1947 | return (get_pure_double(x_exp, GCALC_COORD_BASE3) / |
| 1948 | get_pure_double(t_b, GCALC_COORD_BASE2)) / m_heap->coord_extent; |
| 1949 | } |
| 1950 | else |
| 1951 | return state.pi->node.shape.x; |
| 1952 | } |
| 1953 | |
| 1954 | double Gcalc_scan_iterator::get_h() const |
| 1955 | { |
| 1956 | double cur_y= get_y(); |
| 1957 | double next_y; |
| 1958 | if (state.pi->type == Gcalc_heap::nt_intersection) |
| 1959 | { |
| 1960 | double x; |
| 1961 | state.pi->calc_xy(&x, &next_y); |
| 1962 | } |
| 1963 | else |
| 1964 | next_y= state.pi->next ? state.pi->get_next()->node.shape.y : 0.0; |
| 1965 | return next_y - cur_y; |
| 1966 | } |
| 1967 | |
| 1968 | |
| 1969 | double Gcalc_scan_iterator::get_sp_x(const point *sp) const |
| 1970 | { |
| 1971 | double dy; |
| 1972 | if (sp->event & (scev_end | scev_two_ends | scev_point)) |
| 1973 | return sp->pi->node.shape.x; |
| 1974 | dy= sp->next_pi->node.shape.y - sp->pi->node.shape.y; |
| 1975 | if (fabs(dy) < 1e-12) |
| 1976 | return sp->pi->node.shape.x; |
| 1977 | return sp->pi->node.shape.x + (sp->next_pi->node.shape.x - sp->pi->node.shape.x) * dy; |
| 1978 | } |
| 1979 | |
| 1980 | |
| 1981 | double Gcalc_scan_iterator::get_pure_double(const Gcalc_internal_coord *d, |
| 1982 | int d_len) |
| 1983 | { |
| 1984 | int n= 1; |
| 1985 | long double res= (long double) FIRST_DIGIT(d[0]); |
| 1986 | do |
| 1987 | { |
| 1988 | res*= (long double) GCALC_DIG_BASE; |
| 1989 | res+= (long double) d[n]; |
| 1990 | } while(++n < d_len); |
| 1991 | |
| 1992 | if (GCALC_SIGN(d[0])) |
| 1993 | res*= -1.0; |
| 1994 | return res; |
| 1995 | } |
| 1996 | |
| 1997 | |
| 1998 | #endif /* HAVE_SPATIAL */ |
| 1999 | |