summaryrefslogtreecommitdiffstats
path: root/sql/gcalc_slicescan.h
blob: 37e887e87e5a371053501cf29c13e29113306db6 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
/* Copyright (c) 2000, 2010 Oracle and/or its affiliates. All rights reserved.
   Copyright (C) 2011 Monty Program Ab.

   This program is free software; you can redistribute it and/or modify
   it under the terms of the GNU General Public License as published by
   the Free Software Foundation; version 2 of the License.

   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.

   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1335 USA */


#ifndef GCALC_SLICESCAN_INCLUDED
#define GCALC_SLICESCAN_INCLUDED

#ifndef DBUG_OFF
// #define GCALC_CHECK_WITH_FLOAT
#else
#define GCALC_DBUG_OFF
#endif /*DBUG_OFF*/

#ifndef GCALC_DBUG_OFF
#define GCALC_DBUG_PRINT(b) DBUG_PRINT("Gcalc", b)
#define GCALC_DBUG_ENTER(a) DBUG_ENTER("Gcalc " a)
#define GCALC_DBUG_RETURN(r) DBUG_RETURN(r)
#define GCALC_DBUG_VOID_RETURN DBUG_VOID_RETURN
#define GCALC_DBUG_ASSERT(r) DBUG_ASSERT(r)
#else
#define GCALC_DBUG_PRINT(b)     do {} while(0)
#define GCALC_DBUG_ENTER(a)     do {} while(0)
#define GCALC_DBUG_RETURN(r)    return (r)
#define GCALC_DBUG_VOID_RETURN  do {} while(0)
#define GCALC_DBUG_ASSERT(r)    do {} while(0)
#endif /*GCALC_DBUG_OFF*/

#define GCALC_TERMINATED(state_var) (state_var && (*state_var))
#define GCALC_SET_TERMINATED(state_var, val) state_var= val
#define GCALC_DECL_TERMINATED_STATE(varname) \
  volatile int *varname;

/*
  Gcalc_dyn_list class designed to manage long lists of same-size objects
  with the possible efficiency.
  It allocates fixed-size blocks of memory (blk_size specified at the time
  of creation). When new object is added to the list, it occupies part of
  this block until it's full. Then the new block is allocated.
  Freed objects are chained to the m_free list, and if it's not empty, the
  newly added object is taken from this list instead the block.
*/

class Gcalc_dyn_list
{
public:
  class Item
  {
  public:
    Item *next;
  };

  Gcalc_dyn_list(size_t blk_size, size_t sizeof_item);
  Gcalc_dyn_list(const Gcalc_dyn_list &dl);
  ~Gcalc_dyn_list();
  Item *new_item()
  {
    Item *result;
    if (m_free)
    {
      result= m_free;
      m_free= m_free->next;
    }
    else
      result= alloc_new_blk();

    return result;
  }
  inline void free_item(Item *item)
  {
    item->next= m_free;
    m_free= item;
  }
  inline void free_list(Item **list, Item **hook)
  {
    *hook= m_free;
    m_free= *list;
  }

  void free_list(Item *list)
  {
    Item **hook= &list;
    while (*hook)
      hook= &(*hook)->next;
    free_list(&list, hook);
  }

  void reset();
  void cleanup();

protected:
  size_t m_blk_size;
  size_t m_sizeof_item;
  unsigned int m_points_per_blk;
  void *m_first_blk;
  void **m_blk_hook;
  Item *m_free;
  Item *m_keep;

  Item *alloc_new_blk();
  void format_blk(void* block);
  inline Item *ptr_add(Item *ptr, int n_items)
  {
    return (Item *)(((char*)ptr) + n_items * m_sizeof_item);
  }
};

/* Internal Gcalc coordinates to provide the precise calculations */

#define GCALC_DIG_BASE     1000000000
typedef uint32 gcalc_digit_t;
typedef unsigned long long gcalc_coord2;
typedef gcalc_digit_t Gcalc_internal_coord;
#define GCALC_COORD_BASE 2
#define GCALC_COORD_BASE2 4
#define GCALC_COORD_BASE3 6
#define GCALC_COORD_BASE4 8
#define GCALC_COORD_BASE5 10

typedef gcalc_digit_t Gcalc_coord1[GCALC_COORD_BASE];
typedef gcalc_digit_t Gcalc_coord2[GCALC_COORD_BASE*2];
typedef gcalc_digit_t Gcalc_coord3[GCALC_COORD_BASE*3];


void gcalc_mul_coord(Gcalc_internal_coord *result, int result_len,
                     const Gcalc_internal_coord *a, int a_len,
                     const Gcalc_internal_coord *b, int b_len);

void gcalc_add_coord(Gcalc_internal_coord *result, int result_len,
                     const Gcalc_internal_coord *a,
                     const Gcalc_internal_coord *b);

void gcalc_sub_coord(Gcalc_internal_coord *result, int result_len,
                     const Gcalc_internal_coord *a,
                     const Gcalc_internal_coord *b);

int gcalc_cmp_coord(const Gcalc_internal_coord *a,
                    const Gcalc_internal_coord *b, int len);

/* Internal coordinates declarations end. */


typedef uint gcalc_shape_info;

/*
  Gcalc_heap represents the 'dynamic list' of Info objects, that
  contain information about vertexes of all the shapes that take
  part in some spatial calculation. Can become quite long.
  After filled, the list is usually sorted and then walked through
  in the slicescan algorithm.
  The Gcalc_heap and the algorithm can only operate with two
  kinds of shapes - polygon and polyline. So all the spatial
  objects should be represented as sets of these two.
*/

class Gcalc_heap : public Gcalc_dyn_list
{
public:
  enum node_type
  {
    nt_shape_node,
    nt_intersection,
    nt_eq_node
  };
  class Info : public Gcalc_dyn_list::Item
  {
  public:
    node_type type;
    union
    {
      struct
      {
        /* nt_shape_node */
        gcalc_shape_info shape;
        Info *left;
        Info *right;
        double x,y;
        Gcalc_coord1 ix, iy;
        int top_node;
      } shape;
      struct
      {
        /* nt_intersection */
        /* Line p1-p2 supposed to intersect line p3-p4 */
        const Info *p1;
        const Info *p2;
        const Info *p3;
        const Info *p4;
        void *data;
        int equal;
      } intersection;
      struct
      {
        /* nt_eq_node */
        const Info *node;
        void *data;
      } eq;
    } node;

    bool is_bottom() const
      { GCALC_DBUG_ASSERT(type == nt_shape_node); return !node.shape.left; }
    bool is_top() const
      { GCALC_DBUG_ASSERT(type == nt_shape_node); return node.shape.top_node; }
    bool is_single_node() const
      { return is_bottom() && is_top(); }

    void calc_xy(double *x, double *y) const;
    int equal_pi(const Info *pi) const;
#ifdef GCALC_CHECK_WITH_FLOAT
    void calc_xy_ld(long double *x, long double *y) const;
#endif /*GCALC_CHECK_WITH_FLOAT*/

    Info *get_next() { return (Info *)next; }
    const Info *get_next() const { return (const Info *)next; }
  };

  Gcalc_heap(size_t blk_size=8192) :
    Gcalc_dyn_list(blk_size, sizeof(Info)),
    m_hook(&m_first), m_n_points(0)
  {}

  Gcalc_heap(const Gcalc_heap &gh) :
    Gcalc_dyn_list(gh),
    m_hook(&m_first), m_n_points(0)
  {}

  void set_extent(double xmin, double xmax, double ymin, double ymax);
  Info *new_point_info(double x, double y, gcalc_shape_info shape);
  void free_point_info(Info *i, Gcalc_dyn_list::Item **i_hook);
  Info *new_intersection(const Info *p1, const Info *p2,
                         const Info *p3, const Info *p4);
  void prepare_operation();
  inline bool ready() const { return m_hook == NULL; }
  Info *get_first() { return (Info *)m_first; }
  const Info *get_first() const { return (const Info *)m_first; }
  Gcalc_dyn_list::Item **get_last_hook() { return m_hook; }
  void reset();
#ifdef GCALC_CHECK_WITH_FLOAT
  long double get_double(const Gcalc_internal_coord *c) const;
#endif /*GCALC_CHECK_WITH_FLOAT*/
  double coord_extent;
  Gcalc_dyn_list::Item **get_cur_hook() { return m_hook; }

private:
  Gcalc_dyn_list::Item *m_first;
  Gcalc_dyn_list::Item **m_hook;
  int m_n_points;
};


/*
  the spatial object has to be represented as a set of
  simple polygones and polylines to be sent to the slicescan.

  Gcalc_shape_transporter class and his descendants are used to
  simplify storing the information about the shape into necessary structures.
  This base class only fills the Gcalc_heap with the information about
  shapes and vertices.

  Normally the Gcalc_shape_transporter family object is sent as a parameter
  to the 'get_shapes' method of an 'spatial' object so it can pass
  the spatial information about itself. The virtual methods are
  treating this data in a way the caller needs.
*/

class Gcalc_shape_transporter
{
private:
  Gcalc_heap::Info *m_first;
  Gcalc_heap::Info *m_prev;
  Gcalc_dyn_list::Item **m_prev_hook;
  int m_shape_started;
  void int_complete();
protected:
  Gcalc_heap *m_heap;
  int int_single_point(gcalc_shape_info Info, double x, double y);
  int int_add_point(gcalc_shape_info Info, double x, double y);
  void int_start_line()
  {
    DBUG_ASSERT(!m_shape_started);
    m_shape_started= 1;
    m_first= m_prev= NULL;
  }
  void int_complete_line()
  {
    DBUG_ASSERT(m_shape_started== 1);
    int_complete();
    m_shape_started= 0;
  }
  void int_start_ring()
  {
    DBUG_ASSERT(m_shape_started== 2);
    m_shape_started= 3;
    m_first= m_prev= NULL;
  }
  void int_complete_ring()
  {
    DBUG_ASSERT(m_shape_started== 3);
    int_complete();
    m_shape_started= 2;
  }
  void int_start_poly()
  {
    DBUG_ASSERT(!m_shape_started);
    m_shape_started= 2;
  }
  void int_complete_poly()
  {
    DBUG_ASSERT(m_shape_started== 2);
    m_shape_started= 0;
  }
  bool line_started() { return m_shape_started == 1; };
public:
  Gcalc_shape_transporter(Gcalc_heap *heap) :
    m_shape_started(0), m_heap(heap) {}

  virtual int single_point(double x, double y)=0;
  virtual int start_line()=0;
  virtual int complete_line()=0;
  virtual int start_poly()=0;
  virtual int complete_poly()=0;
  virtual int start_ring()=0;
  virtual int complete_ring()=0;
  virtual int add_point(double x, double y)=0;
  virtual int start_collection(int n_objects) { return 0; }
  virtual int empty_shape() { return 0; }
  int start_simple_poly()
  {
    return start_poly() || start_ring();
  }
  int complete_simple_poly()
  {
    return complete_ring() || complete_poly();
  }
  virtual ~Gcalc_shape_transporter() = default;
};


enum Gcalc_scan_events
{
  scev_none= 0,
  scev_point= 1,         /* Just a new point in thread */
  scev_thread= 2,        /* Start of the new thread */
  scev_two_threads= 4,   /* A couple of new threads started */
  scev_intersection= 8,  /* Intersection happened */
  scev_end= 16,          /* Single thread finished */
  scev_two_ends= 32,     /* A couple of threads finished */
  scev_single_point= 64  /* Got single point */
};


/* 
   Gcalc_scan_iterator incapsulates the slicescan algorithm.
   It takes filled Gcalc_heap as a datasource. Then can be
   iterated through the vertexes and intersection points with
   the step() method. After the 'step()' one usually observes
   the current 'slice' to do the necessary calculations, like
   looking for intersections, calculating the area, whatever.
*/

class Gcalc_scan_iterator : public Gcalc_dyn_list
{
public:
  class point : public Gcalc_dyn_list::Item
  {
  public:
    Gcalc_coord1 dx;
    Gcalc_coord1 dy;
    Gcalc_heap::Info *pi;
    Gcalc_heap::Info *next_pi;
    Gcalc_heap::Info *ev_pi;
    const Gcalc_coord1 *l_border;
    const Gcalc_coord1 *r_border;
    point *ev_next;

    Gcalc_scan_events event;

    inline const point *c_get_next() const
      { return (const point *)next; }
    inline bool is_bottom() const { return !next_pi; }
    gcalc_shape_info get_shape() const { return pi->node.shape.shape; }
    inline point *get_next() { return (point *)next; }
    inline const point *get_next() const { return (const point *)next; }
    /* Compare the dx_dy parameters regarding the horiz_dir */
    /* returns -1 if less, 0 if equal, 1 if bigger          */
    static int cmp_dx_dy(const Gcalc_coord1 dx_a,
                         const Gcalc_coord1 dy_a,
                         const Gcalc_coord1 dx_b,
                         const Gcalc_coord1 dy_b);
    static int cmp_dx_dy(const Gcalc_heap::Info *p1,
                         const Gcalc_heap::Info *p2,
                         const Gcalc_heap::Info *p3,
                         const Gcalc_heap::Info *p4);
    int cmp_dx_dy(const point *p) const;
    point **next_ptr() { return (point **) &next; }
#ifndef GCALC_DBUG_OFF
    unsigned int thread;
#endif /*GCALC_DBUG_OFF*/
#ifdef GCALC_CHECK_WITH_FLOAT
    void calc_x(long double *x, long double y, long double ix) const;
#endif /*GCALC_CHECK_WITH_FLOAT*/
  };

  /* That class introduced mostly for the 'typecontrol' reason.      */
  /* only difference from the point classis the get_next() function. */
  class event_point : public point
  {
  public:
    inline const event_point *get_next() const
    { return (const event_point*) ev_next; }
    int simple_event() const
    {
      return !ev_next ? (event & (scev_point | scev_end)) : 
        (!ev_next->ev_next && event == scev_two_ends);
    }
  };

  class intersection_info : public Gcalc_dyn_list::Item
  {
  public:
    point *edge_a;
    point *edge_b;

    Gcalc_coord2 t_a;
    Gcalc_coord2 t_b;
    int t_calculated;
    Gcalc_coord3 x_exp;
    int x_calculated;
    Gcalc_coord3 y_exp;
    int y_calculated;
    void calc_t()
    {if (!t_calculated) do_calc_t(); }
    void calc_y_exp()
    { if (!y_calculated) do_calc_y(); }
    void calc_x_exp()
    { if (!x_calculated) do_calc_x(); }

    void do_calc_t();
    void do_calc_x();
    void do_calc_y();
  };


  class slice_state
  {
  public:
    point *slice;
    point **event_position_hook;
    point *event_end;
    const Gcalc_heap::Info *pi;
  };

public:
  Gcalc_scan_iterator(size_t blk_size= 8192);

  GCALC_DECL_TERMINATED_STATE(killed)

  void init(Gcalc_heap *points); /* Iterator can be reused */
  void reset();
  int step();

  Gcalc_heap::Info *more_points() { return m_cur_pi; }
  bool more_trapezoids()
    { return m_cur_pi && m_cur_pi->next; }

  const point *get_bottom_points() const
    { return m_bottom_points; }
  const point *get_event_position() const
    { return *state.event_position_hook; }
  const point *get_event_end() const
    { return state.event_end; }
  const event_point *get_events() const
    { return (const event_point *)
        (*state.event_position_hook == state.event_end ?
            m_bottom_points : *state.event_position_hook); }
  const point *get_b_slice() const { return state.slice; }
  double get_h() const;
  double get_y() const;
  double get_event_x() const;
  double get_sp_x(const point *sp) const;
  int intersection_step() const
    { return state.pi->type == Gcalc_heap::nt_intersection; }
  const Gcalc_heap::Info *get_cur_pi() const
  {
    return state.pi;
  }

private:
  Gcalc_heap *m_heap;
  Gcalc_heap::Info *m_cur_pi;
  slice_state state;

#ifndef GCALC_DBUG_OFF
  unsigned int m_cur_thread;
#endif /*GCALC_DBUG_OFF*/

  point *m_bottom_points;
  point **m_bottom_hook;

  int node_scan();
  void eq_scan();
  void intersection_scan();
  void remove_bottom_node();
  int insert_top_node();
  int add_intersection(point *sp_a, point *sp_b,
                       Gcalc_heap::Info *pi_from);
  int add_eq_node(Gcalc_heap::Info *node, point *sp);
  int add_events_for_node(point *sp_node);

  point *new_slice_point()
  {
    point *new_point= (point *)new_item();
    return new_point;
  }
  intersection_info *new_intersection_info(point *a, point *b)
  {
    intersection_info *ii= (intersection_info *)new_item();
    ii->edge_a= a;
    ii->edge_b= b;
    ii->t_calculated= ii->x_calculated= ii->y_calculated= 0;
    return ii;
  }
  int arrange_event(int do_sorting, int n_intersections);
  static double get_pure_double(const Gcalc_internal_coord *d, int d_len);
};


/* 
   Gcalc_trapezoid_iterator simplifies the calculations on
   the current slice of the Gcalc_scan_iterator.
   One can walk through the trapezoids formed between
   previous and current slices.
*/

#ifdef TMP_BLOCK
class Gcalc_trapezoid_iterator
{
protected:
  const Gcalc_scan_iterator::point *sp0;
  const Gcalc_scan_iterator::point *sp1;
public:
  Gcalc_trapezoid_iterator(const Gcalc_scan_iterator *scan_i) :
    sp0(scan_i->get_b_slice()),
    sp1(scan_i->get_t_slice())
    {}

  inline bool more() const { return sp1 && sp1->next; }

  const Gcalc_scan_iterator::point *lt() const { return sp1; }
  const Gcalc_scan_iterator::point *lb() const { return sp0; }
  const Gcalc_scan_iterator::point *rb() const
  {
    const Gcalc_scan_iterator::point *result= sp0;
    while ((result= result->c_get_next())->is_bottom())
    {}
    return result;
  }
  const Gcalc_scan_iterator::point *rt() const
    { return sp1->c_get_next(); }

  void operator++()
  {
    sp0= rb();
    sp1= rt();
  }
};
#endif /*TMP_BLOCK*/


/* 
   Gcalc_point_iterator simplifies the calculations on
   the current slice of the Gcalc_scan_iterator.
   One can walk through the points on the current slice.
*/

class Gcalc_point_iterator
{
protected:
  const Gcalc_scan_iterator::point *sp;
public:
  Gcalc_point_iterator(const Gcalc_scan_iterator *scan_i):
    sp(scan_i->get_b_slice())
    {}

  inline bool more() const { return sp != NULL; }
  inline void operator++() { sp= sp->c_get_next(); }
  inline const Gcalc_scan_iterator::point *point() const { return sp; }
  inline const Gcalc_heap::Info *get_pi() const { return sp->pi; }
  inline gcalc_shape_info get_shape() const { return sp->get_shape(); }
  inline void restart(const Gcalc_scan_iterator *scan_i)
  { sp= scan_i->get_b_slice(); }
};

#endif /*GCALC_SLICESCAN_INCLUDED*/