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+/* 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*/
+