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 | |