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/* Copyright (c) 2002, 2013, Oracle and/or its affiliates. Copyright (c) 2009, 2013, 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 St, Fifth Floor, Boston, MA 02110-1335 USA */ #ifndef _spatial_h #define _spatial_h #include "sql_string.h" /* String, LEX_STRING */ #include <my_compiler.h> #include <json_lib.h> #ifdef HAVE_SPATIAL class Gis_read_stream; #include "gcalc_tools.h" const uint SRID_SIZE= 4; const uint SIZEOF_STORED_DOUBLE= 8; const uint POINT_DATA_SIZE= (SIZEOF_STORED_DOUBLE * 2); const uint WKB_HEADER_SIZE= 1+4; const uint32 GET_SIZE_ERROR= ((uint32) -1); struct st_point_2d { double x; double y; }; struct st_linear_ring { uint32 n_points; st_point_2d points; }; /***************************** MBR *******************************/ /* It's ok that a lot of the functions are inline as these are only used once in MySQL */ struct MBR { double xmin, ymin, xmax, ymax; MBR() { xmin= ymin= DBL_MAX; xmax= ymax= -DBL_MAX; } MBR(const double xmin_arg, const double ymin_arg, const double xmax_arg, const double ymax_arg) :xmin(xmin_arg), ymin(ymin_arg), xmax(xmax_arg), ymax(ymax_arg) {} MBR(const st_point_2d &min, const st_point_2d &max) :xmin(min.x), ymin(min.y), xmax(max.x), ymax(max.y) {} MBR(const MBR &mbr1, const MBR &mbr2) :xmin(mbr1.xmin), ymin(mbr1.ymin), xmax(mbr1.xmax), ymax(mbr1.ymax) { add_mbr(&mbr2); } inline void add_xy(double x, double y) { /* Not using "else" for proper one point MBR calculation */ if (x < xmin) xmin= x; if (x > xmax) xmax= x; if (y < ymin) ymin= y; if (y > ymax) ymax= y; } void add_xy(const char *px, const char *py) { double x, y; float8get(x, px); float8get(y, py); add_xy(x,y); } void add_mbr(const MBR *mbr) { if (mbr->xmin < xmin) xmin= mbr->xmin; if (mbr->xmax > xmax) xmax= mbr->xmax; if (mbr->ymin < ymin) ymin= mbr->ymin; if (mbr->ymax > ymax) ymax= mbr->ymax; } void buffer(double d) { xmin-= d; ymin-= d; xmax+= d; ymax+= d; } int equals(const MBR *mbr) { /* The following should be safe, even if we compare doubles */ return ((mbr->xmin == xmin) && (mbr->ymin == ymin) && (mbr->xmax == xmax) && (mbr->ymax == ymax)); } int disjoint(const MBR *mbr) { /* The following should be safe, even if we compare doubles */ return ((mbr->xmin > xmax) || (mbr->ymin > ymax) || (mbr->xmax < xmin) || (mbr->ymax < ymin)); } int intersects(const MBR *mbr) { return !disjoint(mbr); } int touches(const MBR *mbr) { /* The following should be safe, even if we compare doubles */ return ((mbr->xmin == xmax || mbr->xmax == xmin) && ((mbr->ymin >= ymin && mbr->ymin <= ymax) || (mbr->ymax >= ymin && mbr->ymax <= ymax))) || ((mbr->ymin == ymax || mbr->ymax == ymin) && ((mbr->xmin >= xmin && mbr->xmin <= xmax) || (mbr->xmax >= xmin && mbr->xmax <= xmax))); } int within(const MBR *mbr); int contains(const MBR *mbr) { /* The following should be safe, even if we compare doubles */ return ((mbr->xmin >= xmin) && (mbr->ymin >= ymin) && (mbr->xmax <= xmax) && (mbr->ymax <= ymax)); } bool inner_point(double x, double y) const { /* The following should be safe, even if we compare doubles */ return (xmin<x) && (xmax>x) && (ymin<y) && (ymax>y); } /** The dimension maps to an integer as: - Polygon -> 2 - Horizontal or vertical line -> 1 - Point -> 0 - Invalid MBR -> -1 */ int dimension() const { int d= 0; if (xmin > xmax) return -1; else if (xmin < xmax) d++; if (ymin > ymax) return -1; else if (ymin < ymax) d++; return d; } int overlaps(const MBR *mbr) { /* overlaps() requires that some point inside *this is also inside *mbr, and that both geometries and their intersection are of the same dimension. */ int d = dimension(); if (d != mbr->dimension() || d <= 0 || contains(mbr) || within(mbr)) return 0; MBR intersection(MY_MAX(xmin, mbr->xmin), MY_MAX(ymin, mbr->ymin), MY_MIN(xmax, mbr->xmax), MY_MIN(ymax, mbr->ymax)); return (d == intersection.dimension()); } int valid() const { return xmin <= xmax && ymin <= ymax; } }; /***************************** Geometry *******************************/ struct Geometry_buffer; class Geometry { public: Geometry() = default; /* Remove gcc warning */ virtual ~Geometry() = default; /* Remove gcc warning */ static void *operator new(size_t size, void *buffer) { return buffer; } static void operator delete(void *ptr, void *buffer) {} static void operator delete(void *buffer) {} enum wkbType { wkb_point= 1, wkb_linestring= 2, wkb_polygon= 3, wkb_multipoint= 4, wkb_multilinestring= 5, wkb_multipolygon= 6, wkb_geometrycollection= 7, wkb_last=7 }; enum wkbByteOrder { wkb_xdr= 0, /* Big Endian */ wkb_ndr= 1 /* Little Endian */ }; enum geojson_errors { GEOJ_INCORRECT_GEOJSON= 1, GEOJ_TOO_FEW_POINTS= 2, GEOJ_POLYGON_NOT_CLOSED= 3, GEOJ_DIMENSION_NOT_SUPPORTED= 4, GEOJ_EMPTY_COORDINATES= 5, }; /** Callback which creates Geometry objects on top of a given placement. */ typedef Geometry *(*create_geom_t)(char *); class Class_info { public: LEX_STRING m_name; LEX_STRING m_geojson_name; int m_type_id; create_geom_t m_create_func; Class_info(const char *name, const char *gejson_name, int type_id, create_geom_t create_func); }; virtual const Class_info *get_class_info() const=0; virtual uint32 get_data_size() const=0; virtual bool init_from_wkt(Gis_read_stream *trs, String *wkb)=0; /* returns the length of the wkb that was read */ virtual uint init_from_wkb(const char *wkb, uint len, wkbByteOrder bo, String *res)=0; virtual uint init_from_opresult(String *bin, const char *opres, uint res_len) { return init_from_wkb(opres + 4, UINT_MAX32, wkb_ndr, bin) + 4; } virtual bool init_from_json(json_engine_t *je, bool er_on_3D, String *wkb) { return true; } virtual bool get_data_as_wkt(String *txt, const char **end) const=0; virtual bool get_data_as_json(String *txt, uint max_dec_digits, const char **end) const=0; virtual bool get_mbr(MBR *mbr, const char **end) const=0; virtual bool dimension(uint32 *dim, const char **end) const=0; virtual int get_x(double *x) const { return -1; } virtual int get_y(double *y) const { return -1; } virtual int geom_length(double *len, const char **end) const { return -1; } virtual int area(double *ar, const char **end) const { return -1;} virtual int is_closed(int *closed) const { return -1; } virtual int num_interior_ring(uint32 *n_int_rings) const { return -1; } virtual int num_points(uint32 *n_points) const { return -1; } virtual int num_geometries(uint32 *num) const { return -1; } virtual int start_point(String *point) const { return -1; } virtual int end_point(String *point) const { return -1; } virtual int exterior_ring(String *ring) const { return -1; } virtual int centroid(String *point) const { return -1; } virtual int point_n(uint32 num, String *result) const { return -1; } virtual int interior_ring_n(uint32 num, String *result) const { return -1; } virtual int geometry_n(uint32 num, String *result) const { return -1; } virtual int store_shapes(Gcalc_shape_transporter *trn) const=0; public: static Geometry *create_by_typeid(Geometry_buffer *buffer, int type_id); static Geometry *construct(Geometry_buffer *buffer, const char *data, uint32 data_len); static Geometry *create_from_wkt(Geometry_buffer *buffer, Gis_read_stream *trs, String *wkt, bool init_stream=1); static Geometry *create_from_wkb(Geometry_buffer *buffer, const char *wkb, uint32 len, String *res); static Geometry *create_from_json(Geometry_buffer *buffer, json_engine_t *je, bool er_on_3D, String *res); static Geometry *create_from_opresult(Geometry_buffer *g_buf, String *res, Gcalc_result_receiver &rr); static uint get_key_image_itMBR(LEX_CSTRING &src, uchar *buff, uint length); int as_wkt(String *wkt, const char **end); int as_json(String *wkt, uint max_dec_digits, const char **end); int bbox_as_json(String *wkt); inline void set_data_ptr(const char *data, uint32 data_len) { m_data= data; m_data_end= data + data_len; } inline void shift_wkb_header() { m_data+= WKB_HEADER_SIZE; } const char *get_data_ptr() const { return m_data; } bool envelope(String *result) const; static Class_info *ci_collection[wkb_last+1]; static bool create_point(String *result, double x, double y); protected: static Class_info *find_class(int type_id) { return ((type_id < wkb_point) || (type_id > wkb_last)) ? NULL : ci_collection[type_id]; } static Class_info *find_class(const char *name, size_t len); const char *append_points(String *txt, uint32 n_points, const char *data, uint32 offset) const; bool create_point(String *result, const char *data) const; const char *get_mbr_for_points(MBR *mbr, const char *data, uint offset) const; public: /** Check if there're enough data remaining as requested @arg cur_data pointer to the position in the binary form @arg data_amount number of points expected @return true if not enough data */ inline bool no_data(const char *cur_data, size_t data_amount) const { return (cur_data + data_amount > m_data_end); } /** Check if there're enough points remaining as requested Need to perform the calculation in logical units, since multiplication can overflow the size data type. @arg data pointer to the beginning of the points array @arg expected_points number of points expected @arg extra_point_space extra space for each point element in the array @return true if there are not enough points */ inline bool not_enough_points(const char *data, uint32 expected_points, uint32 extra_point_space = 0) const { return (m_data_end < data || (expected_points > ((m_data_end - data) / (POINT_DATA_SIZE + extra_point_space)))); } protected: const char *m_data; const char *m_data_end; }; /***************************** Point *******************************/ class Gis_point: public Geometry { public: Gis_point() = default; /* Remove gcc warning */ virtual ~Gis_point() = default; /* Remove gcc warning */ uint32 get_data_size() const override; bool init_from_wkt(Gis_read_stream *trs, String *wkb) override; uint init_from_wkb(const char *wkb, uint len, wkbByteOrder bo, String *res) override; bool init_from_json(json_engine_t *je, bool er_on_3D, String *wkb) override; bool get_data_as_wkt(String *txt, const char **end) const override; bool get_data_as_json(String *txt, uint max_dec_digits, const char **end) const override; bool get_mbr(MBR *mbr, const char **end) const override; int get_xy(double *x, double *y) const { const char *data= m_data; if (no_data(data, SIZEOF_STORED_DOUBLE * 2)) return 1; float8get(*x, data); float8get(*y, data + SIZEOF_STORED_DOUBLE); return 0; } int get_xy_radian(double *x, double *y) const { if (!get_xy(x, y)) { *x= (*x)*M_PI/180; *y= (*y)*M_PI/180; return 0; } return 1; } int get_x(double *x) const override { if (no_data(m_data, SIZEOF_STORED_DOUBLE)) return 1; float8get(*x, m_data); return 0; } int get_y(double *y) const override { const char *data= m_data; if (no_data(data, SIZEOF_STORED_DOUBLE * 2)) return 1; float8get(*y, data + SIZEOF_STORED_DOUBLE); return 0; } int geom_length(double *len, const char **end) const override; int area(double *ar, const char **end) const override; bool dimension(uint32 *dim, const char **end) const override { *dim= 0; *end= 0; /* No default end */ return 0; } int store_shapes(Gcalc_shape_transporter *trn) const override; const Class_info *get_class_info() const override; double calculate_haversine(const Geometry *g, const double sphere_radius, int *error); int spherical_distance_multipoints(Geometry *g, const double r, double *result, int *error); }; /***************************** LineString *******************************/ class Gis_line_string: public Geometry { public: Gis_line_string() = default; /* Remove gcc warning */ virtual ~Gis_line_string() = default; /* Remove gcc warning */ uint32 get_data_size() const override; bool init_from_wkt(Gis_read_stream *trs, String *wkb) override; uint init_from_wkb(const char *wkb, uint len, wkbByteOrder bo, String *res) override; bool init_from_json(json_engine_t *je, bool er_on_3D, String *wkb) override; bool get_data_as_wkt(String *txt, const char **end) const override; bool get_data_as_json(String *txt, uint max_dec_digits, const char **end) const override; bool get_mbr(MBR *mbr, const char **end) const override; int geom_length(double *len, const char **end) const override; int area(double *ar, const char **end) const override; int is_closed(int *closed) const override; int num_points(uint32 *n_points) const override; int start_point(String *point) const override; int end_point(String *point) const override; int point_n(uint32 n, String *result) const override; bool dimension(uint32 *dim, const char **end) const override { *dim= 1; *end= 0; /* No default end */ return 0; } int store_shapes(Gcalc_shape_transporter *trn) const override; const Class_info *get_class_info() const override; }; /***************************** Polygon *******************************/ class Gis_polygon: public Geometry { public: Gis_polygon() = default; /* Remove gcc warning */ virtual ~Gis_polygon() = default; /* Remove gcc warning */ uint32 get_data_size() const override; bool init_from_wkt(Gis_read_stream *trs, String *wkb) override; uint init_from_wkb(const char *wkb, uint len, wkbByteOrder bo, String *res) override; uint init_from_opresult(String *bin, const char *opres, uint res_len) override; bool init_from_json(json_engine_t *je, bool er_on_3D, String *wkb) override; bool get_data_as_wkt(String *txt, const char **end) const override; bool get_data_as_json(String *txt, uint max_dec_digits, const char **end) const override; bool get_mbr(MBR *mbr, const char **end) const override; int area(double *ar, const char **end) const override; int exterior_ring(String *result) const override; int num_interior_ring(uint32 *n_int_rings) const override; int interior_ring_n(uint32 num, String *result) const override; int centroid_xy(double *x, double *y) const; int centroid(String *result) const override; bool dimension(uint32 *dim, const char **end) const override { *dim= 2; *end= 0; /* No default end */ return 0; } int store_shapes(Gcalc_shape_transporter *trn) const override; const Class_info *get_class_info() const override; }; /***************************** MultiPoint *******************************/ class Gis_multi_point: public Geometry { // Maximum number of points in MultiPoint that can fit into String static const uint32 max_n_points= (uint32) (UINT_MAX32 - WKB_HEADER_SIZE - 4 /* n_points */) / (WKB_HEADER_SIZE + POINT_DATA_SIZE); public: Gis_multi_point() = default; /* Remove gcc warning */ virtual ~Gis_multi_point() = default; /* Remove gcc warning */ uint32 get_data_size() const override; bool init_from_wkt(Gis_read_stream *trs, String *wkb) override; uint init_from_wkb(const char *wkb, uint len, wkbByteOrder bo, String *res) override; uint init_from_opresult(String *bin, const char *opres, uint res_len) override; bool init_from_json(json_engine_t *je, bool er_on_3D, String *wkb) override; bool get_data_as_wkt(String *txt, const char **end) const override; bool get_data_as_json(String *txt, uint max_dec_digits, const char **end) const override; bool get_mbr(MBR *mbr, const char **end) const override; int num_geometries(uint32 *num) const override; int geometry_n(uint32 num, String *result) const override; bool dimension(uint32 *dim, const char **end) const override { *dim= 0; *end= 0; /* No default end */ return 0; } int store_shapes(Gcalc_shape_transporter *trn) const override; const Class_info *get_class_info() const override; int spherical_distance_multipoints(Geometry *g, const double r, double *res, int *error); }; /***************************** MultiLineString *******************************/ class Gis_multi_line_string: public Geometry { public: Gis_multi_line_string() = default; /* Remove gcc warning */ virtual ~Gis_multi_line_string() = default; /* Remove gcc warning */ uint32 get_data_size() const override; bool init_from_wkt(Gis_read_stream *trs, String *wkb) override; uint init_from_wkb(const char *wkb, uint len, wkbByteOrder bo, String *res) override; uint init_from_opresult(String *bin, const char *opres, uint res_len) override; bool init_from_json(json_engine_t *je, bool er_on_3D, String *wkb) override; bool get_data_as_wkt(String *txt, const char **end) const override; bool get_data_as_json(String *txt, uint max_dec_digits, const char **end) const override; bool get_mbr(MBR *mbr, const char **end) const override; int num_geometries(uint32 *num) const override; int geometry_n(uint32 num, String *result) const override; int geom_length(double *len, const char **end) const override; int is_closed(int *closed) const override; bool dimension(uint32 *dim, const char **end) const override { *dim= 1; *end= 0; /* No default end */ return 0; } int store_shapes(Gcalc_shape_transporter *trn) const override; const Class_info *get_class_info() const override; }; /***************************** MultiPolygon *******************************/ class Gis_multi_polygon: public Geometry { public: Gis_multi_polygon() = default; /* Remove gcc warning */ virtual ~Gis_multi_polygon() = default; /* Remove gcc warning */ uint32 get_data_size() const override; bool init_from_wkt(Gis_read_stream *trs, String *wkb) override; uint init_from_wkb(const char *wkb, uint len, wkbByteOrder bo, String *res) override; bool init_from_json(json_engine_t *je, bool er_on_3D, String *wkb) override; bool get_data_as_wkt(String *txt, const char **end) const override; bool get_data_as_json(String *txt, uint max_dec_digits, const char **end) const override; bool get_mbr(MBR *mbr, const char **end) const override; int num_geometries(uint32 *num) const override; int geometry_n(uint32 num, String *result) const override; int area(double *ar, const char **end) const override; int centroid(String *result) const override; bool dimension(uint32 *dim, const char **end) const override { *dim= 2; *end= 0; /* No default end */ return 0; } int store_shapes(Gcalc_shape_transporter *trn) const override; const Class_info *get_class_info() const override; uint init_from_opresult(String *bin, const char *opres, uint res_len) override; }; /*********************** GeometryCollection *******************************/ class Gis_geometry_collection: public Geometry { public: Gis_geometry_collection() = default; /* Remove gcc warning */ virtual ~Gis_geometry_collection() = default; /* Remove gcc warning */ uint32 get_data_size() const override; bool init_from_wkt(Gis_read_stream *trs, String *wkb) override; uint init_from_wkb(const char *wkb, uint len, wkbByteOrder bo, String *res) override; uint init_from_opresult(String *bin, const char *opres, uint res_len) override; bool init_from_json(json_engine_t *je, bool er_on_3D, String *wkb) override; bool get_data_as_wkt(String *txt, const char **end) const override; bool get_data_as_json(String *txt, uint max_dec_digits, const char **end) const override; bool get_mbr(MBR *mbr, const char **end) const override; int area(double *ar, const char **end) const override; int geom_length(double *len, const char **end) const override; int num_geometries(uint32 *num) const override; int geometry_n(uint32 num, String *result) const override; bool dimension(uint32 *dim, const char **end) const override; int store_shapes(Gcalc_shape_transporter *trn) const override; const Class_info *get_class_info() const override; }; struct Geometry_buffer : public my_aligned_storage<sizeof(Gis_point), MY_ALIGNOF(Gis_point)> {}; #endif /*HAVE_SPATIAL*/ #endif