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1
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2 /*-------------*
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3 * C prelude *
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4 *-------------*/
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5
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6 #include "postgres.h"
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7 #include "fmgr.h"
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8 #include "libpq/pqformat.h"
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9 #include "access/gist.h"
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10 #include "access/stratnum.h"
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11 #include "utils/array.h"
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12 #include <math.h>
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13
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14 #ifdef PG_MODULE_MAGIC
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15 PG_MODULE_MAGIC;
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16 #endif
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17
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18 #if INT_MAX < 2147483647
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19 #error Expected int type to be at least 32 bit wide
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20 #endif
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21
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22
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23 /*---------------------------------*
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24 * distance calculation on earth *
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25 * (using WGS-84 spheroid) *
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26 *---------------------------------*/
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27
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28 /* WGS-84 spheroid with following parameters:
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29 semi-major axis a = 6378137
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30 semi-minor axis b = a * (1 - 1/298.257223563)
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31 estimated diameter = 2 * (2*a+b)/3
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32 */
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33 #define PGL_SPHEROID_A 6378137.0 /* semi major axis */
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34 #define PGL_SPHEROID_F (1.0/298.257223563) /* flattening */
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35 #define PGL_SPHEROID_B (PGL_SPHEROID_A * (1.0-PGL_SPHEROID_F))
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36 #define PGL_EPS2 ( ( PGL_SPHEROID_A * PGL_SPHEROID_A - \
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37 PGL_SPHEROID_B * PGL_SPHEROID_B ) / \
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38 ( PGL_SPHEROID_A * PGL_SPHEROID_A ) )
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39 #define PGL_SUBEPS2 (1.0-PGL_EPS2)
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40 #define PGL_DIAMETER ((4.0*PGL_SPHEROID_A + 2.0*PGL_SPHEROID_B) / 3.0)
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41 #define PGL_SCALE (PGL_SPHEROID_A / PGL_DIAMETER) /* semi-major ref. */
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42 #define PGL_FADELIMIT (PGL_DIAMETER * M_PI / 6.0) /* 1/6 circumference */
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43 #define PGL_MAXDIST (PGL_DIAMETER * M_PI / 2.0) /* maximum distance */
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44
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45 /* calculate distance between two points on earth (given in degrees) */
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46 static inline double pgl_distance(
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47 double lat1, double lon1, double lat2, double lon2
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48 ) {
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49 float8 lat1cos, lat1sin, lat2cos, lat2sin, lon2cos, lon2sin;
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50 float8 nphi1, nphi2, x1, z1, x2, y2, z2, g, s, t;
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51 /* normalize delta longitude (lon2 > 0 && lon1 = 0) */
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52 /* lon1 = 0 (not used anymore) */
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53 lon2 = fabs(lon2-lon1);
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54 /* convert to radians (first divide, then multiply) */
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55 lat1 = (lat1 / 180.0) * M_PI;
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56 lat2 = (lat2 / 180.0) * M_PI;
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57 lon2 = (lon2 / 180.0) * M_PI;
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58 /* make lat2 >= lat1 to ensure reversal-symmetry despite floating point
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59 operations (lon2 >= lon1 is already ensured in a previous step) */
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60 if (lat2 < lat1) { float8 swap = lat1; lat1 = lat2; lat2 = swap; }
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61 /* calculate 3d coordinates on scaled ellipsoid which has an average diameter
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62 of 1.0 */
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63 lat1cos = cos(lat1); lat1sin = sin(lat1);
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64 lat2cos = cos(lat2); lat2sin = sin(lat2);
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65 lon2cos = cos(lon2); lon2sin = sin(lon2);
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66 nphi1 = PGL_SCALE / sqrt(1 - PGL_EPS2 * lat1sin * lat1sin);
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67 nphi2 = PGL_SCALE / sqrt(1 - PGL_EPS2 * lat2sin * lat2sin);
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68 x1 = nphi1 * lat1cos;
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69 z1 = nphi1 * PGL_SUBEPS2 * lat1sin;
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70 x2 = nphi2 * lat2cos * lon2cos;
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71 y2 = nphi2 * lat2cos * lon2sin;
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72 z2 = nphi2 * PGL_SUBEPS2 * lat2sin;
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73 /* calculate tunnel distance through scaled (diameter 1.0) ellipsoid */
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74 g = sqrt((x2-x1)*(x2-x1) + y2*y2 + (z2-z1)*(z2-z1));
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75 /* convert tunnel distance through scaled ellipsoid to approximated surface
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76 distance on original ellipsoid */
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77 if (g > 1.0) g = 1.0;
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78 s = PGL_DIAMETER * asin(g);
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79 /* return result only if small enough to be precise (less than 1/3 of
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80 maximum possible distance) */
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81 if (s <= PGL_FADELIMIT) return s;
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82 /* calculate tunnel distance to antipodal point through scaled ellipsoid */
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83 g = sqrt((x2+x1)*(x2+x1) + y2*y2 + (z2+z1)*(z2+z1));
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84 /* convert tunnel distance to antipodal point through scaled ellipsoid to
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85 approximated surface distance to antipodal point on original ellipsoid */
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86 if (g > 1.0) g = 1.0;
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87 t = PGL_DIAMETER * asin(g);
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88 /* surface distance between original points can now be approximated by
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89 substracting antipodal distance from maximum possible distance;
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90 return result only if small enough (less than 1/3 of maximum possible
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91 distance) */
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92 if (t <= PGL_FADELIMIT) return PGL_MAXDIST-t;
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93 /* otherwise crossfade direct and antipodal result to ensure monotonicity */
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94 return (
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95 (s * (t-PGL_FADELIMIT) + (PGL_MAXDIST-t) * (s-PGL_FADELIMIT)) /
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96 (s + t - 2*PGL_FADELIMIT)
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97 );
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98 }
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99
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100 /* finite distance that can not be reached on earth */
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101 #define PGL_ULTRA_DISTANCE (3 * PGL_MAXDIST)
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102
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103
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104 /*--------------------------------*
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105 * simple geographic data types *
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106 *--------------------------------*/
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107
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108 /* point on earth given by latitude and longitude in degrees */
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109 /* (type "epoint" in SQL) */
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110 typedef struct {
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111 double lat; /* between -90 and 90 (both inclusive) */
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112 double lon; /* between -180 and 180 (both inclusive) */
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113 } pgl_point;
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114
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115 /* box delimited by two parallels and two meridians (all in degrees) */
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116 /* (type "ebox" in SQL) */
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117 typedef struct {
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118 double lat_min; /* between -90 and 90 (both inclusive) */
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119 double lat_max; /* between -90 and 90 (both inclusive) */
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120 double lon_min; /* between -180 and 180 (both inclusive) */
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121 double lon_max; /* between -180 and 180 (both inclusive) */
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122 /* if lat_min > lat_max, then box is empty */
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123 /* if lon_min > lon_max, then 180th meridian is crossed */
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124 } pgl_box;
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125
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126 /* circle on earth surface (for radial searches with fixed radius) */
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127 /* (type "ecircle" in SQL) */
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128 typedef struct {
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129 pgl_point center;
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130 double radius; /* positive (including +0 but excluding -0), or -INFINITY */
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131 /* A negative radius (i.e. -INFINITY) denotes nothing (i.e. no point),
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132 zero radius (0) denotes a single point,
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133 a finite radius (0 < radius < INFINITY) denotes a filled circle, and
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134 a radius of INFINITY is valid and means complete coverage of earth. */
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135 } pgl_circle;
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136
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137
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138 /*----------------------------------*
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139 * geographic "cluster" data type *
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140 *----------------------------------*/
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141
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142 /* A cluster is a collection of points, paths, outlines, and polygons. If two
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143 polygons in a cluster overlap, the area covered by both polygons does not
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144 belong to the cluster. This way, a cluster can be used to describe complex
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145 shapes like polygons with holes. Outlines are non-filled polygons. Paths are
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146 open by default (i.e. the last point in the list is not connected with the
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147 first point in the list). Note that each outline or polygon in a cluster
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148 must cover a longitude range of less than 180 degrees to avoid ambiguities.
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149 Areas which are larger may be split into multiple polygons. */
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150
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151 /* maximum number of points in a cluster */
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152 /* (limited to avoid integer overflows, e.g. when allocating memory) */
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153 #define PGL_CLUSTER_MAXPOINTS 16777216
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154
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155 /* types of cluster entries */
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156 #define PGL_ENTRY_POINT 1 /* a point */
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157 #define PGL_ENTRY_PATH 2 /* a path from first point to last point */
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158 #define PGL_ENTRY_OUTLINE 3 /* a non-filled polygon with given vertices */
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159 #define PGL_ENTRY_POLYGON 4 /* a filled polygon with given vertices */
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160
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161 /* Entries of a cluster are described by two different structs: pgl_newentry
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162 and pgl_entry. The first is used only during construction of a cluster, the
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163 second is used in all other cases (e.g. when reading clusters from the
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164 database, performing operations, etc). */
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165
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166 /* entry for new geographic cluster during construction of that cluster */
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167 typedef struct {
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168 int32_t entrytype;
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169 int32_t npoints;
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170 pgl_point *points; /* pointer to an array of points (pgl_point) */
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171 } pgl_newentry;
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172
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173 /* entry of geographic cluster */
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174 typedef struct {
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175 int32_t entrytype; /* type of entry: point, path, outline, polygon */
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176 int32_t npoints; /* number of stored points (set to 1 for point entry) */
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177 int32_t offset; /* offset of pgl_point array from cluster base address */
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178 /* use macro PGL_ENTRY_POINTS to obtain a pointer to the array of points */
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179 } pgl_entry;
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180
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181 /* geographic cluster which is a collection of points, (open) paths, polygons,
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182 and outlines (non-filled polygons) */
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183 typedef struct {
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184 char header[VARHDRSZ]; /* PostgreSQL header for variable size data types */
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185 int32_t nentries; /* number of stored points */
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186 pgl_circle bounding; /* bounding circle */
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187 /* Note: bounding circle ensures alignment of pgl_cluster for points */
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188 pgl_entry entries[FLEXIBLE_ARRAY_MEMBER]; /* var-length data */
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189 } pgl_cluster;
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190
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191 /* macro to determine memory alignment of points */
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192 /* (needed to store pgl_point array after entries in pgl_cluster) */
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193 typedef struct { char dummy; pgl_point aligned; } pgl_point_alignment;
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194 #define PGL_POINT_ALIGNMENT offsetof(pgl_point_alignment, aligned)
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195
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196 /* macro to extract a pointer to the array of points of a cluster entry */
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197 #define PGL_ENTRY_POINTS(cluster, idx) \
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198 ((pgl_point *)(((intptr_t)cluster)+(cluster)->entries[idx].offset))
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199
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200 /* convert pgl_newentry array to pgl_cluster */
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201 static pgl_cluster *pgl_new_cluster(int nentries, pgl_newentry *entries) {
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202 int i; /* index of current entry */
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203 int npoints = 0; /* number of points in whole cluster */
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204 int entry_npoints; /* number of points in current entry */
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205 int points_offset = PGL_POINT_ALIGNMENT * (
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206 ( offsetof(pgl_cluster, entries) +
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207 nentries * sizeof(pgl_entry) +
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208 PGL_POINT_ALIGNMENT - 1
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209 ) / PGL_POINT_ALIGNMENT
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210 ); /* offset of pgl_point array from base address (considering alignment) */
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211 pgl_cluster *cluster; /* new cluster to be returned */
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212 /* determine total number of points */
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213 for (i=0; i<nentries; i++) npoints += entries[i].npoints;
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214 /* allocate memory for cluster (including entries and points) */
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215 cluster = palloc(points_offset + npoints * sizeof(pgl_point));
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216 /* re-count total number of points to determine offset for each entry */
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217 npoints = 0;
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218 /* copy entries and points */
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219 for (i=0; i<nentries; i++) {
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220 /* determine number of points in entry */
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221 entry_npoints = entries[i].npoints;
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222 /* copy entry */
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223 cluster->entries[i].entrytype = entries[i].entrytype;
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224 cluster->entries[i].npoints = entry_npoints;
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225 /* calculate offset (in bytes) of pgl_point array */
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226 cluster->entries[i].offset = points_offset + npoints * sizeof(pgl_point);
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227 /* copy points */
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228 memcpy(
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229 PGL_ENTRY_POINTS(cluster, i),
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230 entries[i].points,
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231 entry_npoints * sizeof(pgl_point)
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232 );
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233 /* update total number of points processed */
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234 npoints += entry_npoints;
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235 }
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236 /* set number of entries in cluster */
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237 cluster->nentries = nentries;
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238 /* set PostgreSQL header for variable sized data */
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239 SET_VARSIZE(cluster, points_offset + npoints * sizeof(pgl_point));
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240 /* return newly created cluster */
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241 return cluster;
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242 }
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243
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244
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245 /*----------------------------------------*
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246 * C functions on geographic data types *
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247 *----------------------------------------*/
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248
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249 /* round latitude or longitude to 12 digits after decimal point */
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250 static inline double pgl_round(double val) {
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251 return round(val * 1e12) / 1e12;
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252 }
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253
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254 /* compare two points */
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255 /* (equality when same point on earth is described, otherwise an arbitrary
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256 linear order) */
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257 static int pgl_point_cmp(pgl_point *point1, pgl_point *point2) {
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258 double lon1, lon2; /* modified longitudes for special cases */
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259 /* use latitude as first ordering criterion */
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260 if (point1->lat < point2->lat) return -1;
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261 if (point1->lat > point2->lat) return 1;
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262 /* determine modified longitudes (considering special case of poles and
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263 180th meridian which can be described as W180 or E180) */
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264 if (point1->lat == -90 || point1->lat == 90) lon1 = 0;
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265 else if (point1->lon == 180) lon1 = -180;
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266 else lon1 = point1->lon;
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267 if (point2->lat == -90 || point2->lat == 90) lon2 = 0;
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268 else if (point2->lon == 180) lon2 = -180;
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269 else lon2 = point2->lon;
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270 /* use (modified) longitude as secondary ordering criterion */
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271 if (lon1 < lon2) return -1;
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272 if (lon1 > lon2) return 1;
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273 /* no difference found, points are equal */
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274 return 0;
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275 }
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276
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277 /* compare two boxes */
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278 /* (equality when same box on earth is described, otherwise an arbitrary linear
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279 order) */
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280 static int pgl_box_cmp(pgl_box *box1, pgl_box *box2) {
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281 /* two empty boxes are equal, and an empty box is always considered "less
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282 than" a non-empty box */
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283 if (box1->lat_min> box1->lat_max && box2->lat_min<=box2->lat_max) return -1;
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284 if (box1->lat_min> box1->lat_max && box2->lat_min> box2->lat_max) return 0;
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285 if (box1->lat_min<=box1->lat_max && box2->lat_min> box2->lat_max) return 1;
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286 /* use southern border as first ordering criterion */
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287 if (box1->lat_min < box2->lat_min) return -1;
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288 if (box1->lat_min > box2->lat_min) return 1;
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289 /* use northern border as second ordering criterion */
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290 if (box1->lat_max < box2->lat_max) return -1;
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291 if (box1->lat_max > box2->lat_max) return 1;
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292 /* use western border as third ordering criterion */
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293 if (box1->lon_min < box2->lon_min) return -1;
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294 if (box1->lon_min > box2->lon_min) return 1;
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295 /* use eastern border as fourth ordering criterion */
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296 if (box1->lon_max < box2->lon_max) return -1;
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297 if (box1->lon_max > box2->lon_max) return 1;
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298 /* no difference found, boxes are equal */
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299 return 0;
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300 }
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301
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302 /* compare two circles */
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303 /* (equality when same circle on earth is described, otherwise an arbitrary
|
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|
304 linear order) */
|
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|
305 static int pgl_circle_cmp(pgl_circle *circle1, pgl_circle *circle2) {
|
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|
306 /* two circles with same infinite radius (positive or negative infinity) are
|
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|
307 considered equal independently of center point */
|
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|
308 if (
|
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|
309 !isfinite(circle1->radius) && !isfinite(circle2->radius) &&
|
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|
310 circle1->radius == circle2->radius
|
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|
311 ) return 0;
|
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|
312 /* use radius as first ordering criterion */
|
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|
313 if (circle1->radius < circle2->radius) return -1;
|
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|
314 if (circle1->radius > circle2->radius) return 1;
|
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|
315 /* use center point as secondary ordering criterion */
|
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|
316 return pgl_point_cmp(&(circle1->center), &(circle2->center));
|
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|
317 }
|
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|
318
|
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|
319 /* set box to empty box*/
|
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|
320 static void pgl_box_set_empty(pgl_box *box) {
|
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|
321 box->lat_min = INFINITY;
|
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|
322 box->lat_max = -INFINITY;
|
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|
323 box->lon_min = 0;
|
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|
324 box->lon_max = 0;
|
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|
325 }
|
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|
326
|
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|
327 /* check if point is inside a box */
|
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|
328 static bool pgl_point_in_box(pgl_point *point, pgl_box *box) {
|
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|
329 return (
|
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|
330 point->lat >= box->lat_min && point->lat <= box->lat_max && (
|
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|
331 (box->lon_min > box->lon_max) ? (
|
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|
332 /* box crosses 180th meridian */
|
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|
333 point->lon >= box->lon_min || point->lon <= box->lon_max
|
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|
334 ) : (
|
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|
335 /* box does not cross the 180th meridian */
|
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|
336 point->lon >= box->lon_min && point->lon <= box->lon_max
|
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|
337 )
|
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|
338 )
|
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|
339 );
|
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|
340 }
|
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|
341
|
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|
342 /* check if two boxes overlap */
|
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|
343 static bool pgl_boxes_overlap(pgl_box *box1, pgl_box *box2) {
|
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|
344 return (
|
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|
345 box2->lat_max >= box2->lat_min && /* ensure box2 is not empty */
|
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|
346 ( box2->lat_min >= box1->lat_min || box2->lat_max >= box1->lat_min ) &&
|
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|
347 ( box2->lat_min <= box1->lat_max || box2->lat_max <= box1->lat_max ) && (
|
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|
348 (
|
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|
349 /* check if one and only one box crosses the 180th meridian */
|
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|
350 ((box1->lon_min > box1->lon_max) ? 1 : 0) ^
|
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|
351 ((box2->lon_min > box2->lon_max) ? 1 : 0)
|
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|
352 ) ? (
|
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|
353 /* exactly one box crosses the 180th meridian */
|
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|
354 box2->lon_min >= box1->lon_min || box2->lon_max >= box1->lon_min ||
|
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|
355 box2->lon_min <= box1->lon_max || box2->lon_max <= box1->lon_max
|
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|
356 ) : (
|
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|
357 /* no box or both boxes cross the 180th meridian */
|
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|
358 (
|
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|
359 (box2->lon_min >= box1->lon_min || box2->lon_max >= box1->lon_min) &&
|
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|
360 (box2->lon_min <= box1->lon_max || box2->lon_max <= box1->lon_max)
|
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|
361 ) ||
|
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|
362 /* handle W180 == E180 */
|
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|
363 ( box1->lon_min == -180 && box2->lon_max == 180 ) ||
|
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|
364 ( box2->lon_min == -180 && box1->lon_max == 180 )
|
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|
365 )
|
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|
366 )
|
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|
367 );
|
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|
368 }
|
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|
369
|
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|
370 /* check unambiguousness of east/west orientation of cluster entries and set
|
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|
371 bounding circle of cluster */
|
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|
372 static bool pgl_finalize_cluster(pgl_cluster *cluster) {
|
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|
373 int i, j; /* i: index of entry, j: index of point in entry */
|
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|
374 int npoints; /* number of points in entry */
|
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|
375 int total_npoints = 0; /* total number of points in cluster */
|
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|
376 pgl_point *points; /* points in entry */
|
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|
377 int lon_dir; /* first point of entry west (-1) or east (+1) */
|
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|
378 double lon_break = 0; /* antipodal longitude of first point in entry */
|
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|
379 double lon_min, lon_max; /* covered longitude range of entry */
|
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|
380 double value; /* temporary variable */
|
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|
381 /* reset bounding circle center to empty circle at 0/0 coordinates */
|
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|
382 cluster->bounding.center.lat = 0;
|
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|
383 cluster->bounding.center.lon = 0;
|
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|
384 cluster->bounding.radius = -INFINITY;
|
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|
385 /* if cluster is not empty */
|
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|
386 if (cluster->nentries != 0) {
|
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|
387 /* iterate over all cluster entries and ensure they each cover a longitude
|
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|
388 range less than 180 degrees */
|
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|
389 for (i=0; i<cluster->nentries; i++) {
|
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|
390 /* get properties of entry */
|
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|
391 npoints = cluster->entries[i].npoints;
|
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|
392 points = PGL_ENTRY_POINTS(cluster, i);
|
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|
393 /* get longitude of first point of entry */
|
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|
394 value = points[0].lon;
|
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|
395 /* initialize lon_min and lon_max with longitude of first point */
|
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|
396 lon_min = value;
|
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|
397 lon_max = value;
|
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|
398 /* determine east/west orientation of first point and calculate antipodal
|
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|
399 longitude (Note: rounding required here) */
|
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|
400 if (value < 0) { lon_dir = -1; lon_break = pgl_round(value + 180); }
|
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|
401 else if (value > 0) { lon_dir = 1; lon_break = pgl_round(value - 180); }
|
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|
402 else lon_dir = 0;
|
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|
403 /* iterate over all other points in entry */
|
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|
404 for (j=1; j<npoints; j++) {
|
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|
405 /* consider longitude wrap-around */
|
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|
406 value = points[j].lon;
|
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|
407 if (lon_dir<0 && value>lon_break) value = pgl_round(value - 360);
|
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|
408 else if (lon_dir>0 && value<lon_break) value = pgl_round(value + 360);
|
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|
409 /* update lon_min and lon_max */
|
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|
410 if (value < lon_min) lon_min = value;
|
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|
411 else if (value > lon_max) lon_max = value;
|
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|
412 /* return false if 180 degrees or more are covered */
|
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|
413 if (lon_max - lon_min >= 180) return false;
|
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|
414 }
|
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|
415 }
|
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|
416 /* iterate over all points of all entries and calculate arbitrary center
|
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|
417 point for bounding circle (best if center point minimizes the radius,
|
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|
418 but some error is allowed here) */
|
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|
419 for (i=0; i<cluster->nentries; i++) {
|
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|
420 /* get properties of entry */
|
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|
421 npoints = cluster->entries[i].npoints;
|
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|
422 points = PGL_ENTRY_POINTS(cluster, i);
|
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|
423 /* check if first entry */
|
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|
424 if (i==0) {
|
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|
425 /* get longitude of first point of first entry in whole cluster */
|
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|
426 value = points[0].lon;
|
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|
427 /* initialize lon_min and lon_max with longitude of first point of
|
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|
428 first entry in whole cluster (used to determine if whole cluster
|
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|
429 covers a longitude range of 180 degrees or more) */
|
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|
430 lon_min = value;
|
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|
431 lon_max = value;
|
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|
432 /* determine east/west orientation of first point and calculate
|
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|
433 antipodal longitude (Note: rounding not necessary here) */
|
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|
434 if (value < 0) { lon_dir = -1; lon_break = value + 180; }
|
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|
435 else if (value > 0) { lon_dir = 1; lon_break = value - 180; }
|
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|
436 else lon_dir = 0;
|
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|
437 }
|
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|
438 /* iterate over all points in entry */
|
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|
439 for (j=0; j<npoints; j++) {
|
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|
440 /* longitude wrap-around (Note: rounding not necessary here) */
|
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|
441 value = points[j].lon;
|
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|
442 if (lon_dir < 0 && value > lon_break) value -= 360;
|
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|
443 else if (lon_dir > 0 && value < lon_break) value += 360;
|
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|
444 if (value < lon_min) lon_min = value;
|
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|
445 else if (value > lon_max) lon_max = value;
|
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|
446 /* set bounding circle to cover whole earth if more than 180 degrees
|
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|
447 are covered */
|
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|
448 if (lon_max - lon_min >= 180) {
|
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|
449 cluster->bounding.center.lat = 0;
|
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|
450 cluster->bounding.center.lon = 0;
|
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|
451 cluster->bounding.radius = INFINITY;
|
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|
452 return true;
|
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|
453 }
|
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|
454 /* add point to bounding circle center (for average calculation) */
|
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|
455 cluster->bounding.center.lat += points[j].lat;
|
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|
456 cluster->bounding.center.lon += value;
|
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|
457 }
|
jbe@0
|
458 /* count total number of points */
|
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|
459 total_npoints += npoints;
|
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|
460 }
|
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|
461 /* determine average latitude and longitude of cluster */
|
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|
462 cluster->bounding.center.lat /= total_npoints;
|
jbe@0
|
463 cluster->bounding.center.lon /= total_npoints;
|
jbe@0
|
464 /* normalize longitude of center of cluster bounding circle */
|
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|
465 if (cluster->bounding.center.lon < -180) {
|
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|
466 cluster->bounding.center.lon += 360;
|
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|
467 }
|
jbe@0
|
468 else if (cluster->bounding.center.lon > 180) {
|
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|
469 cluster->bounding.center.lon -= 360;
|
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|
470 }
|
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|
471 /* round bounding circle center (useful if it is used by other functions) */
|
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|
472 cluster->bounding.center.lat = pgl_round(cluster->bounding.center.lat);
|
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|
473 cluster->bounding.center.lon = pgl_round(cluster->bounding.center.lon);
|
jbe@0
|
474 /* calculate radius of bounding circle */
|
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|
475 for (i=0; i<cluster->nentries; i++) {
|
jbe@0
|
476 npoints = cluster->entries[i].npoints;
|
jbe@0
|
477 points = PGL_ENTRY_POINTS(cluster, i);
|
jbe@0
|
478 for (j=0; j<npoints; j++) {
|
jbe@0
|
479 value = pgl_distance(
|
jbe@0
|
480 cluster->bounding.center.lat, cluster->bounding.center.lon,
|
jbe@0
|
481 points[j].lat, points[j].lon
|
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|
482 );
|
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|
483 if (value > cluster->bounding.radius) cluster->bounding.radius = value;
|
jbe@0
|
484 }
|
jbe@0
|
485 }
|
jbe@0
|
486 }
|
jbe@0
|
487 /* return true (east/west orientation is unambiguous) */
|
jbe@0
|
488 return true;
|
jbe@0
|
489 }
|
jbe@0
|
490
|
jbe@0
|
491 /* check if point is inside cluster */
|
jbe@0
|
492 static bool pgl_point_in_cluster(pgl_point *point, pgl_cluster *cluster) {
|
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|
493 int i, j, k; /* i: entry, j: point in entry, k: next point in entry */
|
jbe@0
|
494 int entrytype; /* type of entry */
|
jbe@0
|
495 int npoints; /* number of points in entry */
|
jbe@0
|
496 pgl_point *points; /* array of points in entry */
|
jbe@0
|
497 int lon_dir = 0; /* first vertex west (-1) or east (+1) */
|
jbe@0
|
498 double lon_break = 0; /* antipodal longitude of first vertex */
|
jbe@0
|
499 double lat0 = point->lat; /* latitude of point */
|
jbe@0
|
500 double lon0; /* (adjusted) longitude of point */
|
jbe@0
|
501 double lat1, lon1; /* latitude and (adjusted) longitude of vertex */
|
jbe@0
|
502 double lat2, lon2; /* latitude and (adjusted) longitude of next vertex */
|
jbe@0
|
503 double lon; /* longitude of intersection */
|
jbe@0
|
504 int counter = 0; /* counter for intersections east of point */
|
jbe@0
|
505 /* points outside bounding circle are always assumed to be non-overlapping */
|
jbe@0
|
506 /* (necessary for consistent table and index scans) */
|
jbe@0
|
507 if (
|
jbe@0
|
508 pgl_distance(
|
jbe@0
|
509 point->lat, point->lon,
|
jbe@0
|
510 cluster->bounding.center.lat, cluster->bounding.center.lon
|
jbe@0
|
511 ) > cluster->bounding.radius
|
jbe@0
|
512 ) return false;
|
jbe@0
|
513 /* iterate over all entries */
|
jbe@0
|
514 for (i=0; i<cluster->nentries; i++) {
|
jbe@0
|
515 /* get properties of entry */
|
jbe@0
|
516 entrytype = cluster->entries[i].entrytype;
|
jbe@0
|
517 npoints = cluster->entries[i].npoints;
|
jbe@0
|
518 points = PGL_ENTRY_POINTS(cluster, i);
|
jbe@0
|
519 /* determine east/west orientation of first point of entry and calculate
|
jbe@0
|
520 antipodal longitude */
|
jbe@0
|
521 lon_break = points[0].lon;
|
jbe@0
|
522 if (lon_break < 0) { lon_dir = -1; lon_break += 180; }
|
jbe@0
|
523 else if (lon_break > 0) { lon_dir = 1; lon_break -= 180; }
|
jbe@0
|
524 else lon_dir = 0;
|
jbe@0
|
525 /* get longitude of point */
|
jbe@0
|
526 lon0 = point->lon;
|
jbe@0
|
527 /* consider longitude wrap-around for point */
|
jbe@0
|
528 if (lon_dir < 0 && lon0 > lon_break) lon0 = pgl_round(lon0 - 360);
|
jbe@0
|
529 else if (lon_dir > 0 && lon0 < lon_break) lon0 = pgl_round(lon0 + 360);
|
jbe@0
|
530 /* iterate over all edges and vertices */
|
jbe@0
|
531 for (j=0; j<npoints; j++) {
|
jbe@0
|
532 /* return true if point is on vertex of polygon */
|
jbe@0
|
533 if (pgl_point_cmp(point, &(points[j])) == 0) return true;
|
jbe@0
|
534 /* calculate index of next vertex */
|
jbe@0
|
535 k = (j+1) % npoints;
|
jbe@0
|
536 /* skip last edge unless entry is (closed) outline or polygon */
|
jbe@0
|
537 if (
|
jbe@0
|
538 k == 0 &&
|
jbe@0
|
539 entrytype != PGL_ENTRY_OUTLINE &&
|
jbe@0
|
540 entrytype != PGL_ENTRY_POLYGON
|
jbe@0
|
541 ) continue;
|
jbe@0
|
542 /* get latitude and longitude values of edge */
|
jbe@0
|
543 lat1 = points[j].lat;
|
jbe@0
|
544 lat2 = points[k].lat;
|
jbe@0
|
545 lon1 = points[j].lon;
|
jbe@0
|
546 lon2 = points[k].lon;
|
jbe@0
|
547 /* consider longitude wrap-around for edge */
|
jbe@0
|
548 if (lon_dir < 0 && lon1 > lon_break) lon1 = pgl_round(lon1 - 360);
|
jbe@0
|
549 else if (lon_dir > 0 && lon1 < lon_break) lon1 = pgl_round(lon1 + 360);
|
jbe@0
|
550 if (lon_dir < 0 && lon2 > lon_break) lon2 = pgl_round(lon2 - 360);
|
jbe@0
|
551 else if (lon_dir > 0 && lon2 < lon_break) lon2 = pgl_round(lon2 + 360);
|
jbe@0
|
552 /* return true if point is on horizontal (west to east) edge of polygon */
|
jbe@0
|
553 if (
|
jbe@0
|
554 lat0 == lat1 && lat0 == lat2 &&
|
jbe@0
|
555 ( (lon0 >= lon1 && lon0 <= lon2) || (lon0 >= lon2 && lon0 <= lon1) )
|
jbe@0
|
556 ) return true;
|
jbe@0
|
557 /* check if edge crosses east/west line of point */
|
jbe@0
|
558 if ((lat1 < lat0 && lat2 >= lat0) || (lat2 < lat0 && lat1 >= lat0)) {
|
jbe@0
|
559 /* calculate longitude of intersection */
|
jbe@0
|
560 lon = (lon1 * (lat2-lat0) + lon2 * (lat0-lat1)) / (lat2-lat1);
|
jbe@0
|
561 /* return true if intersection goes (approximately) through point */
|
jbe@0
|
562 if (pgl_round(lon) == lon0) return true;
|
jbe@0
|
563 /* count intersection if east of point and entry is polygon*/
|
jbe@0
|
564 if (entrytype == PGL_ENTRY_POLYGON && lon > lon0) counter++;
|
jbe@0
|
565 }
|
jbe@0
|
566 }
|
jbe@0
|
567 }
|
jbe@0
|
568 /* return true if number of intersections is odd */
|
jbe@0
|
569 return counter & 1;
|
jbe@0
|
570 }
|
jbe@0
|
571
|
jbe@0
|
572 /* calculate (approximate) distance between point and cluster */
|
jbe@0
|
573 static double pgl_point_cluster_distance(pgl_point *point, pgl_cluster *cluster) {
|
jbe@0
|
574 int i, j, k; /* i: entry, j: point in entry, k: next point in entry */
|
jbe@0
|
575 int entrytype; /* type of entry */
|
jbe@0
|
576 int npoints; /* number of points in entry */
|
jbe@0
|
577 pgl_point *points; /* array of points in entry */
|
jbe@0
|
578 int lon_dir = 0; /* first vertex west (-1) or east (+1) */
|
jbe@0
|
579 double lon_break = 0; /* antipodal longitude of first vertex */
|
jbe@0
|
580 double lon_min = 0; /* minimum (adjusted) longitude of entry vertices */
|
jbe@0
|
581 double lon_max = 0; /* maximum (adjusted) longitude of entry vertices */
|
jbe@0
|
582 double lat0 = point->lat; /* latitude of point */
|
jbe@0
|
583 double lon0; /* (adjusted) longitude of point */
|
jbe@0
|
584 double lat1, lon1; /* latitude and (adjusted) longitude of vertex */
|
jbe@0
|
585 double lat2, lon2; /* latitude and (adjusted) longitude of next vertex */
|
jbe@0
|
586 double s; /* scalar for vector calculations */
|
jbe@0
|
587 double dist; /* distance calculated in one step */
|
jbe@0
|
588 double min_dist = INFINITY; /* minimum distance */
|
jbe@0
|
589 /* distance is zero if point is contained in cluster */
|
jbe@0
|
590 if (pgl_point_in_cluster(point, cluster)) return 0;
|
jbe@0
|
591 /* iterate over all entries */
|
jbe@0
|
592 for (i=0; i<cluster->nentries; i++) {
|
jbe@0
|
593 /* get properties of entry */
|
jbe@0
|
594 entrytype = cluster->entries[i].entrytype;
|
jbe@0
|
595 npoints = cluster->entries[i].npoints;
|
jbe@0
|
596 points = PGL_ENTRY_POINTS(cluster, i);
|
jbe@0
|
597 /* determine east/west orientation of first point of entry and calculate
|
jbe@0
|
598 antipodal longitude */
|
jbe@0
|
599 lon_break = points[0].lon;
|
jbe@0
|
600 if (lon_break < 0) { lon_dir = -1; lon_break += 180; }
|
jbe@0
|
601 else if (lon_break > 0) { lon_dir = 1; lon_break -= 180; }
|
jbe@0
|
602 else lon_dir = 0;
|
jbe@0
|
603 /* determine covered longitude range */
|
jbe@0
|
604 for (j=0; j<npoints; j++) {
|
jbe@0
|
605 /* get longitude of vertex */
|
jbe@0
|
606 lon1 = points[j].lon;
|
jbe@0
|
607 /* adjust longitude to fix potential wrap-around */
|
jbe@0
|
608 if (lon_dir < 0 && lon1 > lon_break) lon1 -= 360;
|
jbe@0
|
609 else if (lon_dir > 0 && lon1 < lon_break) lon1 += 360;
|
jbe@0
|
610 /* update minimum and maximum longitude of polygon */
|
jbe@0
|
611 if (j == 0 || lon1 < lon_min) lon_min = lon1;
|
jbe@0
|
612 if (j == 0 || lon1 > lon_max) lon_max = lon1;
|
jbe@0
|
613 }
|
jbe@0
|
614 /* adjust longitude wrap-around according to full longitude range */
|
jbe@0
|
615 lon_break = (lon_max + lon_min) / 2;
|
jbe@0
|
616 if (lon_break < 0) { lon_dir = -1; lon_break += 180; }
|
jbe@0
|
617 else if (lon_break > 0) { lon_dir = 1; lon_break -= 180; }
|
jbe@0
|
618 /* get longitude of point */
|
jbe@0
|
619 lon0 = point->lon;
|
jbe@0
|
620 /* consider longitude wrap-around for point */
|
jbe@0
|
621 if (lon_dir < 0 && lon0 > lon_break) lon0 -= 360;
|
jbe@0
|
622 else if (lon_dir > 0 && lon0 < lon_break) lon0 += 360;
|
jbe@0
|
623 /* iterate over all edges and vertices */
|
jbe@0
|
624 for (j=0; j<npoints; j++) {
|
jbe@0
|
625 /* get latitude and longitude values of current point */
|
jbe@0
|
626 lat1 = points[j].lat;
|
jbe@0
|
627 lon1 = points[j].lon;
|
jbe@0
|
628 /* consider longitude wrap-around for current point */
|
jbe@0
|
629 if (lon_dir < 0 && lon1 > lon_break) lon1 -= 360;
|
jbe@0
|
630 else if (lon_dir > 0 && lon1 < lon_break) lon1 += 360;
|
jbe@0
|
631 /* calculate distance to vertex */
|
jbe@0
|
632 dist = pgl_distance(lat0, lon0, lat1, lon1);
|
jbe@0
|
633 /* store calculated distance if smallest */
|
jbe@0
|
634 if (dist < min_dist) min_dist = dist;
|
jbe@0
|
635 /* calculate index of next vertex */
|
jbe@0
|
636 k = (j+1) % npoints;
|
jbe@0
|
637 /* skip last edge unless entry is (closed) outline or polygon */
|
jbe@0
|
638 if (
|
jbe@0
|
639 k == 0 &&
|
jbe@0
|
640 entrytype != PGL_ENTRY_OUTLINE &&
|
jbe@0
|
641 entrytype != PGL_ENTRY_POLYGON
|
jbe@0
|
642 ) continue;
|
jbe@0
|
643 /* get latitude and longitude values of next point */
|
jbe@0
|
644 lat2 = points[k].lat;
|
jbe@0
|
645 lon2 = points[k].lon;
|
jbe@0
|
646 /* consider longitude wrap-around for next point */
|
jbe@0
|
647 if (lon_dir < 0 && lon2 > lon_break) lon2 -= 360;
|
jbe@0
|
648 else if (lon_dir > 0 && lon2 < lon_break) lon2 += 360;
|
jbe@0
|
649 /* go to next vertex and edge if edge is degenerated */
|
jbe@0
|
650 if (lat1 == lat2 && lon1 == lon2) continue;
|
jbe@0
|
651 /* otherwise test if point can be projected onto edge of polygon */
|
jbe@0
|
652 s = (
|
jbe@0
|
653 ((lat0-lat1) * (lat2-lat1) + (lon0-lon1) * (lon2-lon1)) /
|
jbe@0
|
654 ((lat2-lat1) * (lat2-lat1) + (lon2-lon1) * (lon2-lon1))
|
jbe@0
|
655 );
|
jbe@0
|
656 /* go to next vertex and edge if point cannot be projected */
|
jbe@0
|
657 if (!(s > 0 && s < 1)) continue;
|
jbe@0
|
658 /* calculate distance from original point to projected point */
|
jbe@0
|
659 dist = pgl_distance(
|
jbe@0
|
660 lat0, lon0,
|
jbe@0
|
661 lat1 + s * (lat2-lat1),
|
jbe@0
|
662 lon1 + s * (lon2-lon1)
|
jbe@0
|
663 );
|
jbe@0
|
664 /* store calculated distance if smallest */
|
jbe@0
|
665 if (dist < min_dist) min_dist = dist;
|
jbe@0
|
666 }
|
jbe@0
|
667 }
|
jbe@0
|
668 /* return minimum distance */
|
jbe@0
|
669 return min_dist;
|
jbe@0
|
670 }
|
jbe@0
|
671
|
jbe@0
|
672 /* estimator function for distance between box and point */
|
jbe@0
|
673 /* allowed to return smaller values than actually correct */
|
jbe@0
|
674 static double pgl_estimate_point_box_distance(pgl_point *point, pgl_box *box) {
|
jbe@0
|
675 double dlon; /* longitude range of box (delta longitude) */
|
jbe@0
|
676 double h; /* half of distance along meridian */
|
jbe@0
|
677 double d; /* distance between both southern or both northern points */
|
jbe@0
|
678 double cur_dist; /* calculated distance */
|
jbe@0
|
679 double min_dist; /* minimum distance calculated */
|
jbe@0
|
680 /* return infinity if bounding box is empty */
|
jbe@0
|
681 if (box->lat_min > box->lat_max) return INFINITY;
|
jbe@0
|
682 /* return zero if point is inside bounding box */
|
jbe@0
|
683 if (pgl_point_in_box(point, box)) return 0;
|
jbe@0
|
684 /* calculate delta longitude */
|
jbe@0
|
685 dlon = box->lon_max - box->lon_min;
|
jbe@0
|
686 if (dlon < 0) dlon += 360; /* 180th meridian crossed */
|
jbe@0
|
687 /* if delta longitude is greater than 180 degrees, perform safe fall-back */
|
jbe@0
|
688 if (dlon > 180) return 0;
|
jbe@0
|
689 /* calculate half of distance along meridian */
|
jbe@0
|
690 h = pgl_distance(box->lat_min, 0, box->lat_max, 0) / 2;
|
jbe@0
|
691 /* calculate full distance between southern points */
|
jbe@0
|
692 d = pgl_distance(box->lat_min, 0, box->lat_min, dlon);
|
jbe@0
|
693 /* calculate maximum of full distance and half distance */
|
jbe@0
|
694 if (h > d) d = h;
|
jbe@0
|
695 /* calculate distance from point to first southern vertex and substract
|
jbe@0
|
696 maximum error */
|
jbe@0
|
697 min_dist = pgl_distance(
|
jbe@0
|
698 point->lat, point->lon, box->lat_min, box->lon_min
|
jbe@0
|
699 ) - d;
|
jbe@0
|
700 /* return zero if estimated distance is smaller than zero */
|
jbe@0
|
701 if (min_dist <= 0) return 0;
|
jbe@0
|
702 /* repeat procedure with second southern vertex */
|
jbe@0
|
703 cur_dist = pgl_distance(
|
jbe@0
|
704 point->lat, point->lon, box->lat_min, box->lon_max
|
jbe@0
|
705 ) - d;
|
jbe@0
|
706 if (cur_dist <= 0) return 0;
|
jbe@0
|
707 if (cur_dist < min_dist) min_dist = cur_dist;
|
jbe@0
|
708 /* calculate full distance between northern points */
|
jbe@0
|
709 d = pgl_distance(box->lat_max, 0, box->lat_max, dlon);
|
jbe@0
|
710 /* calculate maximum of full distance and half distance */
|
jbe@0
|
711 if (h > d) d = h;
|
jbe@0
|
712 /* repeat procedure with northern vertices */
|
jbe@0
|
713 cur_dist = pgl_distance(
|
jbe@0
|
714 point->lat, point->lon, box->lat_max, box->lon_max
|
jbe@0
|
715 ) - d;
|
jbe@0
|
716 if (cur_dist <= 0) return 0;
|
jbe@0
|
717 if (cur_dist < min_dist) min_dist = cur_dist;
|
jbe@0
|
718 cur_dist = pgl_distance(
|
jbe@0
|
719 point->lat, point->lon, box->lat_max, box->lon_min
|
jbe@0
|
720 ) - d;
|
jbe@0
|
721 if (cur_dist <= 0) return 0;
|
jbe@0
|
722 if (cur_dist < min_dist) min_dist = cur_dist;
|
jbe@0
|
723 /* return smallest value (unless already returned zero) */
|
jbe@0
|
724 return min_dist;
|
jbe@0
|
725 }
|
jbe@0
|
726
|
jbe@0
|
727
|
jbe@0
|
728 /*----------------------------*
|
jbe@0
|
729 * fractal geographic index *
|
jbe@0
|
730 *----------------------------*/
|
jbe@0
|
731
|
jbe@0
|
732 /* number of bytes used for geographic (center) position in keys */
|
jbe@0
|
733 #define PGL_KEY_LATLON_BYTELEN 7
|
jbe@0
|
734
|
jbe@0
|
735 /* maximum reference value for logarithmic size of geographic objects */
|
jbe@0
|
736 #define PGL_AREAKEY_REFOBJSIZE (PGL_DIAMETER/3.0) /* can be tweaked */
|
jbe@0
|
737
|
jbe@0
|
738 /* safety margin to avoid floating point errors in distance estimation */
|
jbe@0
|
739 #define PGL_FPE_SAFETY (1.0+1e-14) /* slightly greater than 1.0 */
|
jbe@0
|
740
|
jbe@0
|
741 /* pointer to index key (either pgl_pointkey or pgl_areakey) */
|
jbe@0
|
742 typedef unsigned char *pgl_keyptr;
|
jbe@0
|
743
|
jbe@0
|
744 /* index key for points (objects with zero area) on the spheroid */
|
jbe@0
|
745 /* bit 0..55: interspersed bits of latitude and longitude,
|
jbe@0
|
746 bit 56..57: always zero,
|
jbe@0
|
747 bit 58..63: node depth in hypothetic (full) tree from 0 to 56 (incl.) */
|
jbe@0
|
748 typedef unsigned char pgl_pointkey[PGL_KEY_LATLON_BYTELEN+1];
|
jbe@0
|
749
|
jbe@0
|
750 /* index key for geographic objects on spheroid with area greater than zero */
|
jbe@0
|
751 /* bit 0..55: interspersed bits of latitude and longitude of center point,
|
jbe@0
|
752 bit 56: always set to 1,
|
jbe@0
|
753 bit 57..63: node depth in hypothetic (full) tree from 0 to (2*56)+1 (incl.),
|
jbe@0
|
754 bit 64..71: logarithmic object size from 0 to 56+1 = 57 (incl.), but set to
|
jbe@0
|
755 PGL_KEY_OBJSIZE_EMPTY (with interspersed bits = 0 and node depth
|
jbe@0
|
756 = 113) for empty objects, and set to PGL_KEY_OBJSIZE_UNIVERSAL
|
jbe@0
|
757 (with interspersed bits = 0 and node depth = 0) for keys which
|
jbe@0
|
758 cover both empty and non-empty objects */
|
jbe@0
|
759
|
jbe@0
|
760 typedef unsigned char pgl_areakey[PGL_KEY_LATLON_BYTELEN+2];
|
jbe@0
|
761
|
jbe@0
|
762 /* helper macros for reading/writing index keys */
|
jbe@0
|
763 #define PGL_KEY_NODEDEPTH_OFFSET PGL_KEY_LATLON_BYTELEN
|
jbe@0
|
764 #define PGL_KEY_OBJSIZE_OFFSET (PGL_KEY_NODEDEPTH_OFFSET+1)
|
jbe@0
|
765 #define PGL_POINTKEY_MAXDEPTH (PGL_KEY_LATLON_BYTELEN*8)
|
jbe@0
|
766 #define PGL_AREAKEY_MAXDEPTH (2*PGL_POINTKEY_MAXDEPTH+1)
|
jbe@0
|
767 #define PGL_AREAKEY_MAXOBJSIZE (PGL_POINTKEY_MAXDEPTH+1)
|
jbe@0
|
768 #define PGL_AREAKEY_TYPEMASK 0x80
|
jbe@0
|
769 #define PGL_KEY_LATLONBIT(key, n) ((key)[(n)/8] & (0x80 >> ((n)%8)))
|
jbe@0
|
770 #define PGL_KEY_LATLONBIT_DIFF(key1, key2, n) \
|
jbe@0
|
771 ( PGL_KEY_LATLONBIT(key1, n) ^ \
|
jbe@0
|
772 PGL_KEY_LATLONBIT(key2, n) )
|
jbe@0
|
773 #define PGL_KEY_IS_AREAKEY(key) ((key)[PGL_KEY_NODEDEPTH_OFFSET] & \
|
jbe@0
|
774 PGL_AREAKEY_TYPEMASK)
|
jbe@0
|
775 #define PGL_KEY_NODEDEPTH(key) ((key)[PGL_KEY_NODEDEPTH_OFFSET] & \
|
jbe@0
|
776 (PGL_AREAKEY_TYPEMASK-1))
|
jbe@0
|
777 #define PGL_KEY_OBJSIZE(key) ((key)[PGL_KEY_OBJSIZE_OFFSET])
|
jbe@0
|
778 #define PGL_KEY_OBJSIZE_EMPTY 126
|
jbe@0
|
779 #define PGL_KEY_OBJSIZE_UNIVERSAL 127
|
jbe@0
|
780 #define PGL_KEY_IS_EMPTY(key) ( PGL_KEY_IS_AREAKEY(key) && \
|
jbe@0
|
781 (key)[PGL_KEY_OBJSIZE_OFFSET] == \
|
jbe@0
|
782 PGL_KEY_OBJSIZE_EMPTY )
|
jbe@0
|
783 #define PGL_KEY_IS_UNIVERSAL(key) ( PGL_KEY_IS_AREAKEY(key) && \
|
jbe@0
|
784 (key)[PGL_KEY_OBJSIZE_OFFSET] == \
|
jbe@0
|
785 PGL_KEY_OBJSIZE_UNIVERSAL )
|
jbe@0
|
786
|
jbe@0
|
787 /* set area key to match empty objects only */
|
jbe@0
|
788 static void pgl_key_set_empty(pgl_keyptr key) {
|
jbe@0
|
789 memset(key, 0, sizeof(pgl_areakey));
|
jbe@0
|
790 /* Note: setting node depth to maximum is required for picksplit function */
|
jbe@0
|
791 key[PGL_KEY_NODEDEPTH_OFFSET] = PGL_AREAKEY_TYPEMASK | PGL_AREAKEY_MAXDEPTH;
|
jbe@0
|
792 key[PGL_KEY_OBJSIZE_OFFSET] = PGL_KEY_OBJSIZE_EMPTY;
|
jbe@0
|
793 }
|
jbe@0
|
794
|
jbe@0
|
795 /* set area key to match any object (including empty objects) */
|
jbe@0
|
796 static void pgl_key_set_universal(pgl_keyptr key) {
|
jbe@0
|
797 memset(key, 0, sizeof(pgl_areakey));
|
jbe@0
|
798 key[PGL_KEY_NODEDEPTH_OFFSET] = PGL_AREAKEY_TYPEMASK;
|
jbe@0
|
799 key[PGL_KEY_OBJSIZE_OFFSET] = PGL_KEY_OBJSIZE_UNIVERSAL;
|
jbe@0
|
800 }
|
jbe@0
|
801
|
jbe@0
|
802 /* convert a point on earth into a max-depth key to be used in index */
|
jbe@0
|
803 static void pgl_point_to_key(pgl_point *point, pgl_keyptr key) {
|
jbe@0
|
804 double lat = point->lat;
|
jbe@0
|
805 double lon = point->lon;
|
jbe@0
|
806 int i;
|
jbe@0
|
807 /* clear latitude and longitude bits */
|
jbe@0
|
808 memset(key, 0, PGL_KEY_LATLON_BYTELEN);
|
jbe@0
|
809 /* set node depth to maximum and type bit to zero */
|
jbe@0
|
810 key[PGL_KEY_NODEDEPTH_OFFSET] = PGL_POINTKEY_MAXDEPTH;
|
jbe@0
|
811 /* iterate over all latitude/longitude bit pairs */
|
jbe@0
|
812 for (i=0; i<PGL_POINTKEY_MAXDEPTH/2; i++) {
|
jbe@0
|
813 /* determine latitude bit */
|
jbe@0
|
814 if (lat >= 0) {
|
jbe@0
|
815 key[i/4] |= 0x80 >> (2*(i%4));
|
jbe@0
|
816 lat *= 2; lat -= 90;
|
jbe@0
|
817 } else {
|
jbe@0
|
818 lat *= 2; lat += 90;
|
jbe@0
|
819 }
|
jbe@0
|
820 /* determine longitude bit */
|
jbe@0
|
821 if (lon >= 0) {
|
jbe@0
|
822 key[i/4] |= 0x80 >> (2*(i%4)+1);
|
jbe@0
|
823 lon *= 2; lon -= 180;
|
jbe@0
|
824 } else {
|
jbe@0
|
825 lon *= 2; lon += 180;
|
jbe@0
|
826 }
|
jbe@0
|
827 }
|
jbe@0
|
828 }
|
jbe@0
|
829
|
jbe@0
|
830 /* convert a circle on earth into a max-depth key to be used in an index */
|
jbe@0
|
831 static void pgl_circle_to_key(pgl_circle *circle, pgl_keyptr key) {
|
jbe@0
|
832 /* handle special case of empty circle */
|
jbe@0
|
833 if (circle->radius < 0) {
|
jbe@0
|
834 pgl_key_set_empty(key);
|
jbe@0
|
835 return;
|
jbe@0
|
836 }
|
jbe@0
|
837 /* perform same action as for point keys */
|
jbe@0
|
838 pgl_point_to_key(&(circle->center), key);
|
jbe@0
|
839 /* but overwrite type and node depth to fit area index key */
|
jbe@0
|
840 key[PGL_KEY_NODEDEPTH_OFFSET] = PGL_AREAKEY_TYPEMASK | PGL_AREAKEY_MAXDEPTH;
|
jbe@0
|
841 /* check if radius is greater than (or equal to) reference size */
|
jbe@0
|
842 /* (treat equal values as greater values for numerical safety) */
|
jbe@0
|
843 if (circle->radius >= PGL_AREAKEY_REFOBJSIZE) {
|
jbe@0
|
844 /* if yes, set logarithmic size to zero */
|
jbe@0
|
845 key[PGL_KEY_OBJSIZE_OFFSET] = 0;
|
jbe@0
|
846 } else {
|
jbe@0
|
847 /* otherwise, determine logarithmic size iteratively */
|
jbe@0
|
848 /* (one step is equivalent to a factor of sqrt(2)) */
|
jbe@0
|
849 double reference = PGL_AREAKEY_REFOBJSIZE / M_SQRT2;
|
jbe@0
|
850 int objsize = 1;
|
jbe@0
|
851 while (objsize < PGL_AREAKEY_MAXOBJSIZE) {
|
jbe@0
|
852 /* stop when radius is greater than (or equal to) adjusted reference */
|
jbe@0
|
853 /* (treat equal values as greater values for numerical safety) */
|
jbe@0
|
854 if (circle->radius >= reference) break;
|
jbe@0
|
855 reference /= M_SQRT2;
|
jbe@0
|
856 objsize++;
|
jbe@0
|
857 }
|
jbe@0
|
858 /* set logarithmic size to determined value */
|
jbe@0
|
859 key[PGL_KEY_OBJSIZE_OFFSET] = objsize;
|
jbe@0
|
860 }
|
jbe@0
|
861 }
|
jbe@0
|
862
|
jbe@0
|
863 /* check if one key is subkey of another key or vice versa */
|
jbe@0
|
864 static bool pgl_keys_overlap(pgl_keyptr key1, pgl_keyptr key2) {
|
jbe@0
|
865 int i; /* key bit offset (includes both lat/lon and log. obj. size bits) */
|
jbe@0
|
866 /* determine smallest depth */
|
jbe@0
|
867 int depth1 = PGL_KEY_NODEDEPTH(key1);
|
jbe@0
|
868 int depth2 = PGL_KEY_NODEDEPTH(key2);
|
jbe@0
|
869 int depth = (depth1 < depth2) ? depth1 : depth2;
|
jbe@0
|
870 /* check if keys are area keys (assuming that both keys have same type) */
|
jbe@0
|
871 if (PGL_KEY_IS_AREAKEY(key1)) {
|
jbe@0
|
872 int j = 0; /* bit offset for logarithmic object size bits */
|
jbe@0
|
873 int k = 0; /* bit offset for latitude and longitude */
|
jbe@0
|
874 /* fetch logarithmic object size information */
|
jbe@0
|
875 int objsize1 = PGL_KEY_OBJSIZE(key1);
|
jbe@0
|
876 int objsize2 = PGL_KEY_OBJSIZE(key2);
|
jbe@0
|
877 /* handle special cases for empty objects (universal and empty keys) */
|
jbe@0
|
878 if (
|
jbe@0
|
879 objsize1 == PGL_KEY_OBJSIZE_UNIVERSAL ||
|
jbe@0
|
880 objsize2 == PGL_KEY_OBJSIZE_UNIVERSAL
|
jbe@0
|
881 ) return true;
|
jbe@0
|
882 if (
|
jbe@0
|
883 objsize1 == PGL_KEY_OBJSIZE_EMPTY ||
|
jbe@0
|
884 objsize2 == PGL_KEY_OBJSIZE_EMPTY
|
jbe@0
|
885 ) return objsize1 == objsize2;
|
jbe@0
|
886 /* iterate through key bits */
|
jbe@0
|
887 for (i=0; i<depth; i++) {
|
jbe@0
|
888 /* every second bit is a bit describing the object size */
|
jbe@0
|
889 if (i%2 == 0) {
|
jbe@0
|
890 /* check if object size bit is different in both keys (objsize1 and
|
jbe@0
|
891 objsize2 describe the minimum index when object size bit is set) */
|
jbe@0
|
892 if (
|
jbe@0
|
893 (objsize1 <= j && objsize2 > j) ||
|
jbe@0
|
894 (objsize2 <= j && objsize1 > j)
|
jbe@0
|
895 ) {
|
jbe@0
|
896 /* bit differs, therefore keys are in separate branches */
|
jbe@0
|
897 return false;
|
jbe@0
|
898 }
|
jbe@0
|
899 /* increase bit counter for object size bits */
|
jbe@0
|
900 j++;
|
jbe@0
|
901 }
|
jbe@0
|
902 /* all other bits describe latitude and longitude */
|
jbe@0
|
903 else {
|
jbe@0
|
904 /* check if bit differs in both keys */
|
jbe@0
|
905 if (PGL_KEY_LATLONBIT_DIFF(key1, key2, k)) {
|
jbe@0
|
906 /* bit differs, therefore keys are in separate branches */
|
jbe@0
|
907 return false;
|
jbe@0
|
908 }
|
jbe@0
|
909 /* increase bit counter for latitude/longitude bits */
|
jbe@0
|
910 k++;
|
jbe@0
|
911 }
|
jbe@0
|
912 }
|
jbe@0
|
913 }
|
jbe@0
|
914 /* if not, keys are point keys */
|
jbe@0
|
915 else {
|
jbe@0
|
916 /* iterate through key bits */
|
jbe@0
|
917 for (i=0; i<depth; i++) {
|
jbe@0
|
918 /* check if bit differs in both keys */
|
jbe@0
|
919 if (PGL_KEY_LATLONBIT_DIFF(key1, key2, i)) {
|
jbe@0
|
920 /* bit differs, therefore keys are in separate branches */
|
jbe@0
|
921 return false;
|
jbe@0
|
922 }
|
jbe@0
|
923 }
|
jbe@0
|
924 }
|
jbe@0
|
925 /* return true because keys are in the same branch */
|
jbe@0
|
926 return true;
|
jbe@0
|
927 }
|
jbe@0
|
928
|
jbe@0
|
929 /* combine two keys into new key which covers both original keys */
|
jbe@0
|
930 /* (result stored in first argument) */
|
jbe@0
|
931 static void pgl_unite_keys(pgl_keyptr dst, pgl_keyptr src) {
|
jbe@0
|
932 int i; /* key bit offset (includes both lat/lon and log. obj. size bits) */
|
jbe@0
|
933 /* determine smallest depth */
|
jbe@0
|
934 int depth1 = PGL_KEY_NODEDEPTH(dst);
|
jbe@0
|
935 int depth2 = PGL_KEY_NODEDEPTH(src);
|
jbe@0
|
936 int depth = (depth1 < depth2) ? depth1 : depth2;
|
jbe@0
|
937 /* check if keys are area keys (assuming that both keys have same type) */
|
jbe@0
|
938 if (PGL_KEY_IS_AREAKEY(dst)) {
|
jbe@0
|
939 pgl_areakey dstbuf = { 0, }; /* destination buffer (cleared) */
|
jbe@0
|
940 int j = 0; /* bit offset for logarithmic object size bits */
|
jbe@0
|
941 int k = 0; /* bit offset for latitude and longitude */
|
jbe@0
|
942 /* fetch logarithmic object size information */
|
jbe@0
|
943 int objsize1 = PGL_KEY_OBJSIZE(dst);
|
jbe@0
|
944 int objsize2 = PGL_KEY_OBJSIZE(src);
|
jbe@0
|
945 /* handle special cases for empty objects (universal and empty keys) */
|
jbe@0
|
946 if (
|
jbe@0
|
947 objsize1 > PGL_AREAKEY_MAXOBJSIZE ||
|
jbe@0
|
948 objsize2 > PGL_AREAKEY_MAXOBJSIZE
|
jbe@0
|
949 ) {
|
jbe@0
|
950 if (
|
jbe@0
|
951 objsize1 == PGL_KEY_OBJSIZE_EMPTY &&
|
jbe@0
|
952 objsize2 == PGL_KEY_OBJSIZE_EMPTY
|
jbe@0
|
953 ) pgl_key_set_empty(dst);
|
jbe@0
|
954 else pgl_key_set_universal(dst);
|
jbe@0
|
955 return;
|
jbe@0
|
956 }
|
jbe@0
|
957 /* iterate through key bits */
|
jbe@0
|
958 for (i=0; i<depth; i++) {
|
jbe@0
|
959 /* every second bit is a bit describing the object size */
|
jbe@0
|
960 if (i%2 == 0) {
|
jbe@0
|
961 /* increase bit counter for object size bits first */
|
jbe@0
|
962 /* (handy when setting objsize variable) */
|
jbe@0
|
963 j++;
|
jbe@0
|
964 /* check if object size bit is set in neither key */
|
jbe@0
|
965 if (objsize1 >= j && objsize2 >= j) {
|
jbe@0
|
966 /* set objsize in destination buffer to indicate that size bit is
|
jbe@0
|
967 unset in destination buffer at the current bit position */
|
jbe@0
|
968 dstbuf[PGL_KEY_OBJSIZE_OFFSET] = j;
|
jbe@0
|
969 }
|
jbe@0
|
970 /* break if object size bit is set in one key only */
|
jbe@0
|
971 else if (objsize1 >= j || objsize2 >= j) break;
|
jbe@0
|
972 }
|
jbe@0
|
973 /* all other bits describe latitude and longitude */
|
jbe@0
|
974 else {
|
jbe@0
|
975 /* break if bit differs in both keys */
|
jbe@0
|
976 if (PGL_KEY_LATLONBIT(dst, k)) {
|
jbe@0
|
977 if (!PGL_KEY_LATLONBIT(src, k)) break;
|
jbe@0
|
978 /* but set bit in destination buffer if bit is set in both keys */
|
jbe@0
|
979 dstbuf[k/8] |= 0x80 >> (k%8);
|
jbe@0
|
980 } else if (PGL_KEY_LATLONBIT(src, k)) break;
|
jbe@0
|
981 /* increase bit counter for latitude/longitude bits */
|
jbe@0
|
982 k++;
|
jbe@0
|
983 }
|
jbe@0
|
984 }
|
jbe@0
|
985 /* set common node depth and type bit (type bit = 1) */
|
jbe@0
|
986 dstbuf[PGL_KEY_NODEDEPTH_OFFSET] = PGL_AREAKEY_TYPEMASK | i;
|
jbe@0
|
987 /* copy contents of destination buffer to first key */
|
jbe@0
|
988 memcpy(dst, dstbuf, sizeof(pgl_areakey));
|
jbe@0
|
989 }
|
jbe@0
|
990 /* if not, keys are point keys */
|
jbe@0
|
991 else {
|
jbe@0
|
992 pgl_pointkey dstbuf = { 0, }; /* destination buffer (cleared) */
|
jbe@0
|
993 /* iterate through key bits */
|
jbe@0
|
994 for (i=0; i<depth; i++) {
|
jbe@0
|
995 /* break if bit differs in both keys */
|
jbe@0
|
996 if (PGL_KEY_LATLONBIT(dst, i)) {
|
jbe@0
|
997 if (!PGL_KEY_LATLONBIT(src, i)) break;
|
jbe@0
|
998 /* but set bit in destination buffer if bit is set in both keys */
|
jbe@0
|
999 dstbuf[i/8] |= 0x80 >> (i%8);
|
jbe@0
|
1000 } else if (PGL_KEY_LATLONBIT(src, i)) break;
|
jbe@0
|
1001 }
|
jbe@0
|
1002 /* set common node depth (type bit = 0) */
|
jbe@0
|
1003 dstbuf[PGL_KEY_NODEDEPTH_OFFSET] = i;
|
jbe@0
|
1004 /* copy contents of destination buffer to first key */
|
jbe@0
|
1005 memcpy(dst, dstbuf, sizeof(pgl_pointkey));
|
jbe@0
|
1006 }
|
jbe@0
|
1007 }
|
jbe@0
|
1008
|
jbe@0
|
1009 /* determine center(!) boundaries and radius estimation of index key */
|
jbe@0
|
1010 static double pgl_key_to_box(pgl_keyptr key, pgl_box *box) {
|
jbe@0
|
1011 int i;
|
jbe@0
|
1012 /* determine node depth */
|
jbe@0
|
1013 int depth = PGL_KEY_NODEDEPTH(key);
|
jbe@0
|
1014 /* center point of possible result */
|
jbe@0
|
1015 double lat = 0;
|
jbe@0
|
1016 double lon = 0;
|
jbe@0
|
1017 /* maximum distance of real center point from key center */
|
jbe@0
|
1018 double dlat = 90;
|
jbe@0
|
1019 double dlon = 180;
|
jbe@0
|
1020 /* maximum radius of contained objects */
|
jbe@0
|
1021 double radius = 0; /* always return zero for point index keys */
|
jbe@0
|
1022 /* check if key is area key */
|
jbe@0
|
1023 if (PGL_KEY_IS_AREAKEY(key)) {
|
jbe@0
|
1024 /* get logarithmic object size */
|
jbe@0
|
1025 int objsize = PGL_KEY_OBJSIZE(key);
|
jbe@0
|
1026 /* handle special cases for empty objects (universal and empty keys) */
|
jbe@0
|
1027 if (objsize == PGL_KEY_OBJSIZE_EMPTY) {
|
jbe@0
|
1028 pgl_box_set_empty(box);
|
jbe@0
|
1029 return 0;
|
jbe@0
|
1030 } else if (objsize == PGL_KEY_OBJSIZE_UNIVERSAL) {
|
jbe@0
|
1031 box->lat_min = -90;
|
jbe@0
|
1032 box->lat_max = 90;
|
jbe@0
|
1033 box->lon_min = -180;
|
jbe@0
|
1034 box->lon_max = 180;
|
jbe@0
|
1035 return 0; /* any value >= 0 would do */
|
jbe@0
|
1036 }
|
jbe@0
|
1037 /* calculate maximum possible radius of objects covered by the given key */
|
jbe@0
|
1038 if (objsize == 0) radius = INFINITY;
|
jbe@0
|
1039 else {
|
jbe@0
|
1040 radius = PGL_AREAKEY_REFOBJSIZE;
|
jbe@0
|
1041 while (--objsize) radius /= M_SQRT2;
|
jbe@0
|
1042 }
|
jbe@0
|
1043 /* iterate over latitude and longitude bits in key */
|
jbe@0
|
1044 /* (every second bit is a latitude or longitude bit) */
|
jbe@0
|
1045 for (i=0; i<depth/2; i++) {
|
jbe@0
|
1046 /* check if latitude bit */
|
jbe@0
|
1047 if (i%2 == 0) {
|
jbe@0
|
1048 /* cut latitude dimension in half */
|
jbe@0
|
1049 dlat /= 2;
|
jbe@0
|
1050 /* increase center latitude if bit is 1, otherwise decrease */
|
jbe@0
|
1051 if (PGL_KEY_LATLONBIT(key, i)) lat += dlat;
|
jbe@0
|
1052 else lat -= dlat;
|
jbe@0
|
1053 }
|
jbe@0
|
1054 /* otherwise longitude bit */
|
jbe@0
|
1055 else {
|
jbe@0
|
1056 /* cut longitude dimension in half */
|
jbe@0
|
1057 dlon /= 2;
|
jbe@0
|
1058 /* increase center longitude if bit is 1, otherwise decrease */
|
jbe@0
|
1059 if (PGL_KEY_LATLONBIT(key, i)) lon += dlon;
|
jbe@0
|
1060 else lon -= dlon;
|
jbe@0
|
1061 }
|
jbe@0
|
1062 }
|
jbe@0
|
1063 }
|
jbe@0
|
1064 /* if not, keys are point keys */
|
jbe@0
|
1065 else {
|
jbe@0
|
1066 /* iterate over all bits in key */
|
jbe@0
|
1067 for (i=0; i<depth; i++) {
|
jbe@0
|
1068 /* check if latitude bit */
|
jbe@0
|
1069 if (i%2 == 0) {
|
jbe@0
|
1070 /* cut latitude dimension in half */
|
jbe@0
|
1071 dlat /= 2;
|
jbe@0
|
1072 /* increase center latitude if bit is 1, otherwise decrease */
|
jbe@0
|
1073 if (PGL_KEY_LATLONBIT(key, i)) lat += dlat;
|
jbe@0
|
1074 else lat -= dlat;
|
jbe@0
|
1075 }
|
jbe@0
|
1076 /* otherwise longitude bit */
|
jbe@0
|
1077 else {
|
jbe@0
|
1078 /* cut longitude dimension in half */
|
jbe@0
|
1079 dlon /= 2;
|
jbe@0
|
1080 /* increase center longitude if bit is 1, otherwise decrease */
|
jbe@0
|
1081 if (PGL_KEY_LATLONBIT(key, i)) lon += dlon;
|
jbe@0
|
1082 else lon -= dlon;
|
jbe@0
|
1083 }
|
jbe@0
|
1084 }
|
jbe@0
|
1085 }
|
jbe@0
|
1086 /* calculate boundaries from center point and remaining dlat and dlon */
|
jbe@0
|
1087 /* (return values through pointer to box) */
|
jbe@0
|
1088 box->lat_min = lat - dlat;
|
jbe@0
|
1089 box->lat_max = lat + dlat;
|
jbe@0
|
1090 box->lon_min = lon - dlon;
|
jbe@0
|
1091 box->lon_max = lon + dlon;
|
jbe@0
|
1092 /* return radius (as a function return value) */
|
jbe@0
|
1093 return radius;
|
jbe@0
|
1094 }
|
jbe@0
|
1095
|
jbe@0
|
1096 /* estimator function for distance between point and index key */
|
jbe@0
|
1097 /* allowed to return smaller values than actually correct */
|
jbe@0
|
1098 static double pgl_estimate_key_distance(pgl_keyptr key, pgl_point *point) {
|
jbe@0
|
1099 pgl_box box; /* center(!) bounding box of area index key */
|
jbe@0
|
1100 /* calculate center(!) bounding box and maximum radius of objects covered
|
jbe@0
|
1101 by area index key (radius is zero for point index keys) */
|
jbe@0
|
1102 double distance = pgl_key_to_box(key, &box);
|
jbe@0
|
1103 /* calculate estimated distance between bounding box of center point of
|
jbe@0
|
1104 indexed object and point passed as second argument, then substract maximum
|
jbe@0
|
1105 radius of objects covered by index key */
|
jbe@0
|
1106 /* (use PGL_FPE_SAFETY factor to cope with minor floating point errors) */
|
jbe@0
|
1107 distance = (
|
jbe@0
|
1108 pgl_estimate_point_box_distance(point, &box) / PGL_FPE_SAFETY -
|
jbe@0
|
1109 distance * PGL_FPE_SAFETY
|
jbe@0
|
1110 );
|
jbe@0
|
1111 /* truncate negative results to zero */
|
jbe@0
|
1112 if (distance <= 0) distance = 0;
|
jbe@0
|
1113 /* return result */
|
jbe@0
|
1114 return distance;
|
jbe@0
|
1115 }
|
jbe@0
|
1116
|
jbe@0
|
1117
|
jbe@0
|
1118 /*---------------------------------*
|
jbe@0
|
1119 * helper functions for text I/O *
|
jbe@0
|
1120 *---------------------------------*/
|
jbe@0
|
1121
|
jbe@0
|
1122 #define PGL_NUMBUFLEN 64 /* buffer size for number to string conversion */
|
jbe@0
|
1123
|
jbe@0
|
1124 /* convert floating point number to string (round-trip safe) */
|
jbe@0
|
1125 static void pgl_print_float(char *buf, double flt) {
|
jbe@0
|
1126 /* check if number is integral */
|
jbe@0
|
1127 if (trunc(flt) == flt) {
|
jbe@0
|
1128 /* for integral floats use maximum precision */
|
jbe@0
|
1129 snprintf(buf, PGL_NUMBUFLEN, "%.17g", flt);
|
jbe@0
|
1130 } else {
|
jbe@0
|
1131 /* otherwise check if 15, 16, or 17 digits needed (round-trip safety) */
|
jbe@0
|
1132 snprintf(buf, PGL_NUMBUFLEN, "%.15g", flt);
|
jbe@0
|
1133 if (strtod(buf, NULL) != flt) snprintf(buf, PGL_NUMBUFLEN, "%.16g", flt);
|
jbe@0
|
1134 if (strtod(buf, NULL) != flt) snprintf(buf, PGL_NUMBUFLEN, "%.17g", flt);
|
jbe@0
|
1135 }
|
jbe@0
|
1136 }
|
jbe@0
|
1137
|
jbe@0
|
1138 /* convert latitude floating point number (in degrees) to string */
|
jbe@0
|
1139 static void pgl_print_lat(char *buf, double lat) {
|
jbe@0
|
1140 if (signbit(lat)) {
|
jbe@0
|
1141 /* treat negative latitudes (including -0) as south */
|
jbe@0
|
1142 snprintf(buf, PGL_NUMBUFLEN, "S%015.12f", -lat);
|
jbe@0
|
1143 } else {
|
jbe@0
|
1144 /* treat positive latitudes (including +0) as north */
|
jbe@0
|
1145 snprintf(buf, PGL_NUMBUFLEN, "N%015.12f", lat);
|
jbe@0
|
1146 }
|
jbe@0
|
1147 }
|
jbe@0
|
1148
|
jbe@0
|
1149 /* convert longitude floating point number (in degrees) to string */
|
jbe@0
|
1150 static void pgl_print_lon(char *buf, double lon) {
|
jbe@0
|
1151 if (signbit(lon)) {
|
jbe@0
|
1152 /* treat negative longitudes (including -0) as west */
|
jbe@0
|
1153 snprintf(buf, PGL_NUMBUFLEN, "W%016.12f", -lon);
|
jbe@0
|
1154 } else {
|
jbe@0
|
1155 /* treat positive longitudes (including +0) as east */
|
jbe@0
|
1156 snprintf(buf, PGL_NUMBUFLEN, "E%016.12f", lon);
|
jbe@0
|
1157 }
|
jbe@0
|
1158 }
|
jbe@0
|
1159
|
jbe@0
|
1160 /* bit masks used as return value of pgl_scan() function */
|
jbe@0
|
1161 #define PGL_SCAN_NONE 0 /* no value has been parsed */
|
jbe@0
|
1162 #define PGL_SCAN_LAT (1<<0) /* latitude has been parsed */
|
jbe@0
|
1163 #define PGL_SCAN_LON (1<<1) /* longitude has been parsed */
|
jbe@0
|
1164 #define PGL_SCAN_LATLON (PGL_SCAN_LAT | PGL_SCAN_LON) /* bitwise OR of both */
|
jbe@0
|
1165
|
jbe@0
|
1166 /* parse a coordinate (can be latitude or longitude) */
|
jbe@0
|
1167 static int pgl_scan(char **str, double *lat, double *lon) {
|
jbe@0
|
1168 double val;
|
jbe@0
|
1169 int len;
|
jbe@0
|
1170 if (
|
jbe@0
|
1171 sscanf(*str, " N %lf %n", &val, &len) ||
|
jbe@0
|
1172 sscanf(*str, " n %lf %n", &val, &len)
|
jbe@0
|
1173 ) {
|
jbe@0
|
1174 *str += len; *lat = val; return PGL_SCAN_LAT;
|
jbe@0
|
1175 }
|
jbe@0
|
1176 if (
|
jbe@0
|
1177 sscanf(*str, " S %lf %n", &val, &len) ||
|
jbe@0
|
1178 sscanf(*str, " s %lf %n", &val, &len)
|
jbe@0
|
1179 ) {
|
jbe@0
|
1180 *str += len; *lat = -val; return PGL_SCAN_LAT;
|
jbe@0
|
1181 }
|
jbe@0
|
1182 if (
|
jbe@0
|
1183 sscanf(*str, " E %lf %n", &val, &len) ||
|
jbe@0
|
1184 sscanf(*str, " e %lf %n", &val, &len)
|
jbe@0
|
1185 ) {
|
jbe@0
|
1186 *str += len; *lon = val; return PGL_SCAN_LON;
|
jbe@0
|
1187 }
|
jbe@0
|
1188 if (
|
jbe@0
|
1189 sscanf(*str, " W %lf %n", &val, &len) ||
|
jbe@0
|
1190 sscanf(*str, " w %lf %n", &val, &len)
|
jbe@0
|
1191 ) {
|
jbe@0
|
1192 *str += len; *lon = -val; return PGL_SCAN_LON;
|
jbe@0
|
1193 }
|
jbe@0
|
1194 return PGL_SCAN_NONE;
|
jbe@0
|
1195 }
|
jbe@0
|
1196
|
jbe@0
|
1197
|
jbe@0
|
1198 /*-----------------*
|
jbe@0
|
1199 * SQL functions *
|
jbe@0
|
1200 *-----------------*/
|
jbe@0
|
1201
|
jbe@0
|
1202 /* Note: These function names use "epoint", "ebox", etc. notation here instead
|
jbe@0
|
1203 of "point", "box", etc. in order to distinguish them from any previously
|
jbe@0
|
1204 defined functions. */
|
jbe@0
|
1205
|
jbe@0
|
1206 /* function needed for dummy types and/or not implemented features */
|
jbe@0
|
1207 PG_FUNCTION_INFO_V1(pgl_notimpl);
|
jbe@0
|
1208 Datum pgl_notimpl(PG_FUNCTION_ARGS) {
|
jbe@0
|
1209 ereport(ERROR, (errmsg("not implemented by pgLatLon")));
|
jbe@0
|
1210 }
|
jbe@0
|
1211
|
jbe@0
|
1212 /* set point to latitude and longitude (including checks) */
|
jbe@0
|
1213 static void pgl_epoint_set_latlon(pgl_point *point, double lat, double lon) {
|
jbe@0
|
1214 /* reject infinite or NaN values */
|
jbe@0
|
1215 if (!isfinite(lat) || !isfinite(lon)) {
|
jbe@0
|
1216 ereport(ERROR, (
|
jbe@0
|
1217 errcode(ERRCODE_DATA_EXCEPTION),
|
jbe@0
|
1218 errmsg("epoint requires finite coordinates")
|
jbe@0
|
1219 ));
|
jbe@0
|
1220 }
|
jbe@0
|
1221 /* check latitude bounds */
|
jbe@0
|
1222 if (lat < -90) {
|
jbe@0
|
1223 ereport(WARNING, (errmsg("latitude exceeds south pole")));
|
jbe@0
|
1224 lat = -90;
|
jbe@0
|
1225 } else if (lat > 90) {
|
jbe@0
|
1226 ereport(WARNING, (errmsg("latitude exceeds north pole")));
|
jbe@0
|
1227 lat = 90;
|
jbe@0
|
1228 }
|
jbe@0
|
1229 /* check longitude bounds */
|
jbe@0
|
1230 if (lon < -180) {
|
jbe@0
|
1231 ereport(NOTICE, (errmsg("longitude west of 180th meridian normalized")));
|
jbe@0
|
1232 lon += 360 - trunc(lon / 360) * 360;
|
jbe@0
|
1233 } else if (lon > 180) {
|
jbe@0
|
1234 ereport(NOTICE, (errmsg("longitude east of 180th meridian normalized")));
|
jbe@0
|
1235 lon -= 360 + trunc(lon / 360) * 360;
|
jbe@0
|
1236 }
|
jbe@0
|
1237 /* store rounded latitude/longitude values for round-trip safety */
|
jbe@0
|
1238 point->lat = pgl_round(lat);
|
jbe@0
|
1239 point->lon = pgl_round(lon);
|
jbe@0
|
1240 }
|
jbe@0
|
1241
|
jbe@0
|
1242 /* create point ("epoint" in SQL) from latitude and longitude */
|
jbe@0
|
1243 PG_FUNCTION_INFO_V1(pgl_create_epoint);
|
jbe@0
|
1244 Datum pgl_create_epoint(PG_FUNCTION_ARGS) {
|
jbe@0
|
1245 pgl_point *point = (pgl_point *)palloc(sizeof(pgl_point));
|
jbe@0
|
1246 pgl_epoint_set_latlon(point, PG_GETARG_FLOAT8(0), PG_GETARG_FLOAT8(1));
|
jbe@0
|
1247 PG_RETURN_POINTER(point);
|
jbe@0
|
1248 }
|
jbe@0
|
1249
|
jbe@0
|
1250 /* parse point ("epoint" in SQL) */
|
jbe@0
|
1251 /* format: '[NS]<float> [EW]<float>' */
|
jbe@0
|
1252 PG_FUNCTION_INFO_V1(pgl_epoint_in);
|
jbe@0
|
1253 Datum pgl_epoint_in(PG_FUNCTION_ARGS) {
|
jbe@0
|
1254 char *str = PG_GETARG_CSTRING(0); /* input string */
|
jbe@0
|
1255 char *strptr = str; /* current position within string */
|
jbe@0
|
1256 int done = 0; /* bit mask storing if latitude or longitude was read */
|
jbe@0
|
1257 double lat, lon; /* parsed values as double precision floats */
|
jbe@0
|
1258 pgl_point *point; /* return value (to be palloc'ed) */
|
jbe@0
|
1259 /* parse two floats (each latitude or longitude) separated by white-space */
|
jbe@0
|
1260 done |= pgl_scan(&strptr, &lat, &lon);
|
jbe@0
|
1261 if (strptr != str && isspace(strptr[-1])) {
|
jbe@0
|
1262 done |= pgl_scan(&strptr, &lat, &lon);
|
jbe@0
|
1263 }
|
jbe@0
|
1264 /* require end of string, and latitude and longitude parsed successfully */
|
jbe@0
|
1265 if (strptr[0] || done != PGL_SCAN_LATLON) {
|
jbe@0
|
1266 ereport(ERROR, (
|
jbe@0
|
1267 errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
|
jbe@0
|
1268 errmsg("invalid input syntax for type epoint: \"%s\"", str)
|
jbe@0
|
1269 ));
|
jbe@0
|
1270 }
|
jbe@0
|
1271 /* allocate memory for result */
|
jbe@0
|
1272 point = (pgl_point *)palloc(sizeof(pgl_point));
|
jbe@0
|
1273 /* set latitude and longitude (and perform checks) */
|
jbe@0
|
1274 pgl_epoint_set_latlon(point, lat, lon);
|
jbe@0
|
1275 /* return result */
|
jbe@0
|
1276 PG_RETURN_POINTER(point);
|
jbe@0
|
1277 }
|
jbe@0
|
1278
|
jbe@0
|
1279 /* create box ("ebox" in SQL) that is empty */
|
jbe@0
|
1280 PG_FUNCTION_INFO_V1(pgl_create_empty_ebox);
|
jbe@0
|
1281 Datum pgl_create_empty_ebox(PG_FUNCTION_ARGS) {
|
jbe@0
|
1282 pgl_box *box = (pgl_box *)palloc(sizeof(pgl_box));
|
jbe@0
|
1283 pgl_box_set_empty(box);
|
jbe@0
|
1284 PG_RETURN_POINTER(box);
|
jbe@0
|
1285 }
|
jbe@0
|
1286
|
jbe@0
|
1287 /* set box to given boundaries (including checks) */
|
jbe@0
|
1288 static void pgl_ebox_set_boundaries(
|
jbe@0
|
1289 pgl_box *box,
|
jbe@0
|
1290 double lat_min, double lat_max, double lon_min, double lon_max
|
jbe@0
|
1291 ) {
|
jbe@0
|
1292 /* if minimum latitude is greater than maximum latitude, return empty box */
|
jbe@0
|
1293 if (lat_min > lat_max) {
|
jbe@0
|
1294 pgl_box_set_empty(box);
|
jbe@0
|
1295 return;
|
jbe@0
|
1296 }
|
jbe@0
|
1297 /* otherwise reject infinite or NaN values */
|
jbe@0
|
1298 if (
|
jbe@0
|
1299 !isfinite(lat_min) || !isfinite(lat_max) ||
|
jbe@0
|
1300 !isfinite(lon_min) || !isfinite(lon_max)
|
jbe@0
|
1301 ) {
|
jbe@0
|
1302 ereport(ERROR, (
|
jbe@0
|
1303 errcode(ERRCODE_DATA_EXCEPTION),
|
jbe@0
|
1304 errmsg("ebox requires finite coordinates")
|
jbe@0
|
1305 ));
|
jbe@0
|
1306 }
|
jbe@0
|
1307 /* check latitude bounds */
|
jbe@0
|
1308 if (lat_max < -90) {
|
jbe@0
|
1309 ereport(WARNING, (errmsg("northern latitude exceeds south pole")));
|
jbe@0
|
1310 lat_max = -90;
|
jbe@0
|
1311 } else if (lat_max > 90) {
|
jbe@0
|
1312 ereport(WARNING, (errmsg("northern latitude exceeds north pole")));
|
jbe@0
|
1313 lat_max = 90;
|
jbe@0
|
1314 }
|
jbe@0
|
1315 if (lat_min < -90) {
|
jbe@0
|
1316 ereport(WARNING, (errmsg("southern latitude exceeds south pole")));
|
jbe@0
|
1317 lat_min = -90;
|
jbe@0
|
1318 } else if (lat_min > 90) {
|
jbe@0
|
1319 ereport(WARNING, (errmsg("southern latitude exceeds north pole")));
|
jbe@0
|
1320 lat_min = 90;
|
jbe@0
|
1321 }
|
jbe@0
|
1322 /* check if all longitudes are included */
|
jbe@0
|
1323 if (lon_max - lon_min >= 360) {
|
jbe@0
|
1324 if (lon_max - lon_min > 360) ereport(WARNING, (
|
jbe@0
|
1325 errmsg("longitude coverage greater than 360 degrees")
|
jbe@0
|
1326 ));
|
jbe@0
|
1327 lon_min = -180;
|
jbe@0
|
1328 lon_max = 180;
|
jbe@0
|
1329 } else {
|
jbe@0
|
1330 /* normalize longitude bounds */
|
jbe@0
|
1331 if (lon_min < -180) lon_min += 360 - trunc(lon_min / 360) * 360;
|
jbe@0
|
1332 else if (lon_min > 180) lon_min -= 360 + trunc(lon_min / 360) * 360;
|
jbe@0
|
1333 if (lon_max < -180) lon_max += 360 - trunc(lon_max / 360) * 360;
|
jbe@0
|
1334 else if (lon_max > 180) lon_max -= 360 + trunc(lon_max / 360) * 360;
|
jbe@0
|
1335 }
|
jbe@0
|
1336 /* store rounded latitude/longitude values for round-trip safety */
|
jbe@0
|
1337 box->lat_min = pgl_round(lat_min);
|
jbe@0
|
1338 box->lat_max = pgl_round(lat_max);
|
jbe@0
|
1339 box->lon_min = pgl_round(lon_min);
|
jbe@0
|
1340 box->lon_max = pgl_round(lon_max);
|
jbe@0
|
1341 /* ensure that rounding does not change orientation */
|
jbe@0
|
1342 if (lon_min > lon_max && box->lon_min == box->lon_max) {
|
jbe@0
|
1343 box->lon_min = -180;
|
jbe@0
|
1344 box->lon_max = 180;
|
jbe@0
|
1345 }
|
jbe@0
|
1346 }
|
jbe@0
|
1347
|
jbe@0
|
1348 /* create box ("ebox" in SQL) from min/max latitude and min/max longitude */
|
jbe@0
|
1349 PG_FUNCTION_INFO_V1(pgl_create_ebox);
|
jbe@0
|
1350 Datum pgl_create_ebox(PG_FUNCTION_ARGS) {
|
jbe@0
|
1351 pgl_box *box = (pgl_box *)palloc(sizeof(pgl_box));
|
jbe@0
|
1352 pgl_ebox_set_boundaries(
|
jbe@0
|
1353 box,
|
jbe@0
|
1354 PG_GETARG_FLOAT8(0), PG_GETARG_FLOAT8(1),
|
jbe@0
|
1355 PG_GETARG_FLOAT8(2), PG_GETARG_FLOAT8(3)
|
jbe@0
|
1356 );
|
jbe@0
|
1357 PG_RETURN_POINTER(box);
|
jbe@0
|
1358 }
|
jbe@0
|
1359
|
jbe@0
|
1360 /* create box ("ebox" in SQL) from two points ("epoint"s) */
|
jbe@0
|
1361 /* (can not be used to cover a longitude range of more than 120 degrees) */
|
jbe@0
|
1362 PG_FUNCTION_INFO_V1(pgl_create_ebox_from_epoints);
|
jbe@0
|
1363 Datum pgl_create_ebox_from_epoints(PG_FUNCTION_ARGS) {
|
jbe@0
|
1364 pgl_point *point1 = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
1365 pgl_point *point2 = (pgl_point *)PG_GETARG_POINTER(1);
|
jbe@0
|
1366 pgl_box *box = (pgl_box *)palloc(sizeof(pgl_box));
|
jbe@0
|
1367 double lat_min, lat_max, lon_min, lon_max;
|
jbe@0
|
1368 double dlon; /* longitude range (delta longitude) */
|
jbe@0
|
1369 /* order latitude and longitude boundaries */
|
jbe@0
|
1370 if (point2->lat < point1->lat) {
|
jbe@0
|
1371 lat_min = point2->lat;
|
jbe@0
|
1372 lat_max = point1->lat;
|
jbe@0
|
1373 } else {
|
jbe@0
|
1374 lat_min = point1->lat;
|
jbe@0
|
1375 lat_max = point2->lat;
|
jbe@0
|
1376 }
|
jbe@0
|
1377 if (point2->lon < point1->lon) {
|
jbe@0
|
1378 lon_min = point2->lon;
|
jbe@0
|
1379 lon_max = point1->lon;
|
jbe@0
|
1380 } else {
|
jbe@0
|
1381 lon_min = point1->lon;
|
jbe@0
|
1382 lon_max = point2->lon;
|
jbe@0
|
1383 }
|
jbe@0
|
1384 /* calculate longitude range (round to avoid floating point errors) */
|
jbe@0
|
1385 dlon = pgl_round(lon_max - lon_min);
|
jbe@0
|
1386 /* determine east-west direction */
|
jbe@0
|
1387 if (dlon >= 240) {
|
jbe@0
|
1388 /* assume that 180th meridian is crossed and swap min/max longitude */
|
jbe@0
|
1389 double swap = lon_min; lon_min = lon_max; lon_max = swap;
|
jbe@0
|
1390 } else if (dlon > 120) {
|
jbe@0
|
1391 /* unclear orientation since delta longitude > 120 */
|
jbe@0
|
1392 ereport(ERROR, (
|
jbe@0
|
1393 errcode(ERRCODE_DATA_EXCEPTION),
|
jbe@0
|
1394 errmsg("can not determine east/west orientation for ebox")
|
jbe@0
|
1395 ));
|
jbe@0
|
1396 }
|
jbe@0
|
1397 /* use boundaries to setup box (and perform checks) */
|
jbe@0
|
1398 pgl_ebox_set_boundaries(box, lat_min, lat_max, lon_min, lon_max);
|
jbe@0
|
1399 /* return result */
|
jbe@0
|
1400 PG_RETURN_POINTER(box);
|
jbe@0
|
1401 }
|
jbe@0
|
1402
|
jbe@0
|
1403 /* parse box ("ebox" in SQL) */
|
jbe@0
|
1404 /* format: '[NS]<float> [EW]<float> [NS]<float> [EW]<float>'
|
jbe@0
|
1405 or: '[NS]<float> [NS]<float> [EW]<float> [EW]<float>' */
|
jbe@0
|
1406 PG_FUNCTION_INFO_V1(pgl_ebox_in);
|
jbe@0
|
1407 Datum pgl_ebox_in(PG_FUNCTION_ARGS) {
|
jbe@0
|
1408 char *str = PG_GETARG_CSTRING(0); /* input string */
|
jbe@0
|
1409 char *str_lower; /* lower case version of input string */
|
jbe@0
|
1410 char *strptr; /* current position within string */
|
jbe@0
|
1411 int valid; /* number of valid chars */
|
jbe@0
|
1412 int done; /* specifies if latitude or longitude was read */
|
jbe@0
|
1413 double val; /* temporary variable */
|
jbe@0
|
1414 int lat_count = 0; /* count of latitude values parsed */
|
jbe@0
|
1415 int lon_count = 0; /* count of longitufde values parsed */
|
jbe@0
|
1416 double lat_min, lat_max, lon_min, lon_max; /* see pgl_box struct */
|
jbe@0
|
1417 pgl_box *box; /* return value (to be palloc'ed) */
|
jbe@0
|
1418 /* lowercase input */
|
jbe@0
|
1419 str_lower = psprintf("%s", str);
|
jbe@0
|
1420 for (strptr=str_lower; *strptr; strptr++) {
|
jbe@0
|
1421 if (*strptr >= 'A' && *strptr <= 'Z') *strptr += 'a' - 'A';
|
jbe@0
|
1422 }
|
jbe@0
|
1423 /* reset reading position to start of (lowercase) string */
|
jbe@0
|
1424 strptr = str_lower;
|
jbe@0
|
1425 /* check if empty box */
|
jbe@0
|
1426 valid = 0;
|
jbe@0
|
1427 sscanf(strptr, " empty %n", &valid);
|
jbe@0
|
1428 if (valid && strptr[valid] == 0) {
|
jbe@0
|
1429 /* allocate and return empty box */
|
jbe@0
|
1430 box = (pgl_box *)palloc(sizeof(pgl_box));
|
jbe@0
|
1431 pgl_box_set_empty(box);
|
jbe@0
|
1432 PG_RETURN_POINTER(box);
|
jbe@0
|
1433 }
|
jbe@0
|
1434 /* demand four blocks separated by whitespace */
|
jbe@0
|
1435 valid = 0;
|
jbe@0
|
1436 sscanf(strptr, " %*s %*s %*s %*s %n", &valid);
|
jbe@0
|
1437 /* if four blocks separated by whitespace exist, parse those blocks */
|
jbe@0
|
1438 if (strptr[valid] == 0) while (strptr[0]) {
|
jbe@0
|
1439 /* parse either latitude or longitude (whichever found in input string) */
|
jbe@0
|
1440 done = pgl_scan(&strptr, &val, &val);
|
jbe@0
|
1441 /* store latitude or longitude in lat_min, lat_max, lon_min, or lon_max */
|
jbe@0
|
1442 if (done == PGL_SCAN_LAT) {
|
jbe@0
|
1443 if (!lat_count) lat_min = val; else lat_max = val;
|
jbe@0
|
1444 lat_count++;
|
jbe@0
|
1445 } else if (done == PGL_SCAN_LON) {
|
jbe@0
|
1446 if (!lon_count) lon_min = val; else lon_max = val;
|
jbe@0
|
1447 lon_count++;
|
jbe@0
|
1448 } else {
|
jbe@0
|
1449 break;
|
jbe@0
|
1450 }
|
jbe@0
|
1451 }
|
jbe@0
|
1452 /* require end of string, and two latitude and two longitude values */
|
jbe@0
|
1453 if (strptr[0] || lat_count != 2 || lon_count != 2) {
|
jbe@0
|
1454 ereport(ERROR, (
|
jbe@0
|
1455 errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
|
jbe@0
|
1456 errmsg("invalid input syntax for type ebox: \"%s\"", str)
|
jbe@0
|
1457 ));
|
jbe@0
|
1458 }
|
jbe@0
|
1459 /* free lower case string */
|
jbe@0
|
1460 pfree(str_lower);
|
jbe@0
|
1461 /* order boundaries (maximum greater than minimum) */
|
jbe@0
|
1462 if (lat_min > lat_max) { val = lat_min; lat_min = lat_max; lat_max = val; }
|
jbe@0
|
1463 if (lon_min > lon_max) { val = lon_min; lon_min = lon_max; lon_max = val; }
|
jbe@0
|
1464 /* allocate memory for result */
|
jbe@0
|
1465 box = (pgl_box *)palloc(sizeof(pgl_box));
|
jbe@0
|
1466 /* set boundaries (and perform checks) */
|
jbe@0
|
1467 pgl_ebox_set_boundaries(box, lat_min, lat_max, lon_min, lon_max);
|
jbe@0
|
1468 /* return result */
|
jbe@0
|
1469 PG_RETURN_POINTER(box);
|
jbe@0
|
1470 }
|
jbe@0
|
1471
|
jbe@0
|
1472 /* set circle to given latitude, longitude, and radius (including checks) */
|
jbe@0
|
1473 static void pgl_ecircle_set_latlon_radius(
|
jbe@0
|
1474 pgl_circle *circle, double lat, double lon, double radius
|
jbe@0
|
1475 ) {
|
jbe@0
|
1476 /* set center point (including checks) */
|
jbe@0
|
1477 pgl_epoint_set_latlon(&(circle->center), lat, lon);
|
jbe@0
|
1478 /* handle non-positive radius */
|
jbe@0
|
1479 if (isnan(radius)) {
|
jbe@0
|
1480 ereport(ERROR, (
|
jbe@0
|
1481 errcode(ERRCODE_DATA_EXCEPTION),
|
jbe@0
|
1482 errmsg("invalid radius for ecircle")
|
jbe@0
|
1483 ));
|
jbe@0
|
1484 }
|
jbe@0
|
1485 if (radius == 0) radius = 0; /* avoids -0 */
|
jbe@0
|
1486 else if (radius < 0) {
|
jbe@0
|
1487 if (isfinite(radius)) {
|
jbe@0
|
1488 ereport(NOTICE, (errmsg("negative radius converted to minus infinity")));
|
jbe@0
|
1489 }
|
jbe@0
|
1490 radius = -INFINITY;
|
jbe@0
|
1491 }
|
jbe@0
|
1492 /* store radius (round-trip safety is ensured by pgl_print_float) */
|
jbe@0
|
1493 circle->radius = radius;
|
jbe@0
|
1494 }
|
jbe@0
|
1495
|
jbe@0
|
1496 /* create circle ("ecircle" in SQL) from latitude, longitude, and radius */
|
jbe@0
|
1497 PG_FUNCTION_INFO_V1(pgl_create_ecircle);
|
jbe@0
|
1498 Datum pgl_create_ecircle(PG_FUNCTION_ARGS) {
|
jbe@0
|
1499 pgl_circle *circle = (pgl_circle *)palloc(sizeof(pgl_circle));
|
jbe@0
|
1500 pgl_ecircle_set_latlon_radius(
|
jbe@0
|
1501 circle, PG_GETARG_FLOAT8(0), PG_GETARG_FLOAT8(1), PG_GETARG_FLOAT8(2)
|
jbe@0
|
1502 );
|
jbe@0
|
1503 PG_RETURN_POINTER(circle);
|
jbe@0
|
1504 }
|
jbe@0
|
1505
|
jbe@0
|
1506 /* create circle ("ecircle" in SQL) from point ("epoint"), and radius */
|
jbe@0
|
1507 PG_FUNCTION_INFO_V1(pgl_create_ecircle_from_epoint);
|
jbe@0
|
1508 Datum pgl_create_ecircle_from_epoint(PG_FUNCTION_ARGS) {
|
jbe@0
|
1509 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
1510 double radius = PG_GETARG_FLOAT8(1);
|
jbe@0
|
1511 pgl_circle *circle = (pgl_circle *)palloc(sizeof(pgl_circle));
|
jbe@0
|
1512 /* set latitude, longitude, radius (and perform checks) */
|
jbe@0
|
1513 pgl_ecircle_set_latlon_radius(circle, point->lat, point->lon, radius);
|
jbe@0
|
1514 /* return result */
|
jbe@0
|
1515 PG_RETURN_POINTER(circle);
|
jbe@0
|
1516 }
|
jbe@0
|
1517
|
jbe@0
|
1518 /* parse circle ("ecircle" in SQL) */
|
jbe@0
|
1519 /* format: '[NS]<float> [EW]<float> <float>' */
|
jbe@0
|
1520 PG_FUNCTION_INFO_V1(pgl_ecircle_in);
|
jbe@0
|
1521 Datum pgl_ecircle_in(PG_FUNCTION_ARGS) {
|
jbe@0
|
1522 char *str = PG_GETARG_CSTRING(0); /* input string */
|
jbe@0
|
1523 char *strptr = str; /* current position within string */
|
jbe@0
|
1524 double lat, lon, radius; /* parsed values as double precision flaots */
|
jbe@0
|
1525 int valid = 0; /* number of valid chars */
|
jbe@0
|
1526 int done = 0; /* stores if latitude and/or longitude was read */
|
jbe@0
|
1527 pgl_circle *circle; /* return value (to be palloc'ed) */
|
jbe@0
|
1528 /* demand three blocks separated by whitespace */
|
jbe@0
|
1529 sscanf(strptr, " %*s %*s %*s %n", &valid);
|
jbe@0
|
1530 /* if three blocks separated by whitespace exist, parse those blocks */
|
jbe@0
|
1531 if (strptr[valid] == 0) {
|
jbe@0
|
1532 /* parse latitude and longitude */
|
jbe@0
|
1533 done |= pgl_scan(&strptr, &lat, &lon);
|
jbe@0
|
1534 done |= pgl_scan(&strptr, &lat, &lon);
|
jbe@0
|
1535 /* parse radius (while incrementing strptr by number of bytes parsed) */
|
jbe@0
|
1536 valid = 0;
|
jbe@0
|
1537 if (sscanf(strptr, " %lf %n", &radius, &valid) == 1) strptr += valid;
|
jbe@0
|
1538 }
|
jbe@0
|
1539 /* require end of string and both latitude and longitude being parsed */
|
jbe@0
|
1540 if (strptr[0] || done != PGL_SCAN_LATLON) {
|
jbe@0
|
1541 ereport(ERROR, (
|
jbe@0
|
1542 errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
|
jbe@0
|
1543 errmsg("invalid input syntax for type ecircle: \"%s\"", str)
|
jbe@0
|
1544 ));
|
jbe@0
|
1545 }
|
jbe@0
|
1546 /* allocate memory for result */
|
jbe@0
|
1547 circle = (pgl_circle *)palloc(sizeof(pgl_circle));
|
jbe@0
|
1548 /* set latitude, longitude, radius (and perform checks) */
|
jbe@0
|
1549 pgl_ecircle_set_latlon_radius(circle, lat, lon, radius);
|
jbe@0
|
1550 /* return result */
|
jbe@0
|
1551 PG_RETURN_POINTER(circle);
|
jbe@0
|
1552 }
|
jbe@0
|
1553
|
jbe@0
|
1554 /* parse cluster ("ecluster" in SQL) */
|
jbe@0
|
1555 PG_FUNCTION_INFO_V1(pgl_ecluster_in);
|
jbe@0
|
1556 Datum pgl_ecluster_in(PG_FUNCTION_ARGS) {
|
jbe@0
|
1557 int i;
|
jbe@0
|
1558 char *str = PG_GETARG_CSTRING(0); /* input string */
|
jbe@0
|
1559 char *str_lower; /* lower case version of input string */
|
jbe@0
|
1560 char *strptr; /* pointer to current reading position of input */
|
jbe@0
|
1561 int npoints_total = 0; /* total number of points in cluster */
|
jbe@0
|
1562 int nentries = 0; /* total number of entries */
|
jbe@0
|
1563 pgl_newentry *entries; /* array of pgl_newentry to create pgl_cluster */
|
jbe@0
|
1564 int entries_buflen = 4; /* maximum number of elements in entries array */
|
jbe@0
|
1565 int valid; /* number of valid chars processed */
|
jbe@0
|
1566 double lat, lon; /* latitude and longitude of parsed point */
|
jbe@0
|
1567 int entrytype; /* current entry type */
|
jbe@0
|
1568 int npoints; /* number of points in current entry */
|
jbe@0
|
1569 pgl_point *points; /* array of pgl_point for pgl_newentry */
|
jbe@0
|
1570 int points_buflen; /* maximum number of elements in points array */
|
jbe@0
|
1571 int done; /* return value of pgl_scan function */
|
jbe@0
|
1572 pgl_cluster *cluster; /* created cluster */
|
jbe@0
|
1573 /* lowercase input */
|
jbe@0
|
1574 str_lower = psprintf("%s", str);
|
jbe@0
|
1575 for (strptr=str_lower; *strptr; strptr++) {
|
jbe@0
|
1576 if (*strptr >= 'A' && *strptr <= 'Z') *strptr += 'a' - 'A';
|
jbe@0
|
1577 }
|
jbe@0
|
1578 /* reset reading position to start of (lowercase) string */
|
jbe@0
|
1579 strptr = str_lower;
|
jbe@0
|
1580 /* allocate initial buffer for entries */
|
jbe@0
|
1581 entries = palloc(entries_buflen * sizeof(pgl_newentry));
|
jbe@0
|
1582 /* parse until end of string */
|
jbe@0
|
1583 while (strptr[0]) {
|
jbe@0
|
1584 /* require previous white-space or closing parenthesis before next token */
|
jbe@0
|
1585 if (strptr != str_lower && !isspace(strptr[-1]) && strptr[-1] != ')') {
|
jbe@0
|
1586 goto pgl_ecluster_in_error;
|
jbe@0
|
1587 }
|
jbe@0
|
1588 /* ignore token "empty" */
|
jbe@0
|
1589 valid = 0; sscanf(strptr, " empty %n", &valid);
|
jbe@0
|
1590 if (valid) { strptr += valid; continue; }
|
jbe@0
|
1591 /* test for "point" token */
|
jbe@0
|
1592 valid = 0; sscanf(strptr, " point ( %n", &valid);
|
jbe@0
|
1593 if (valid) {
|
jbe@0
|
1594 strptr += valid;
|
jbe@0
|
1595 entrytype = PGL_ENTRY_POINT;
|
jbe@0
|
1596 goto pgl_ecluster_in_type_ok;
|
jbe@0
|
1597 }
|
jbe@0
|
1598 /* test for "path" token */
|
jbe@0
|
1599 valid = 0; sscanf(strptr, " path ( %n", &valid);
|
jbe@0
|
1600 if (valid) {
|
jbe@0
|
1601 strptr += valid;
|
jbe@0
|
1602 entrytype = PGL_ENTRY_PATH;
|
jbe@0
|
1603 goto pgl_ecluster_in_type_ok;
|
jbe@0
|
1604 }
|
jbe@0
|
1605 /* test for "outline" token */
|
jbe@0
|
1606 valid = 0; sscanf(strptr, " outline ( %n", &valid);
|
jbe@0
|
1607 if (valid) {
|
jbe@0
|
1608 strptr += valid;
|
jbe@0
|
1609 entrytype = PGL_ENTRY_OUTLINE;
|
jbe@0
|
1610 goto pgl_ecluster_in_type_ok;
|
jbe@0
|
1611 }
|
jbe@0
|
1612 /* test for "polygon" token */
|
jbe@0
|
1613 valid = 0; sscanf(strptr, " polygon ( %n", &valid);
|
jbe@0
|
1614 if (valid) {
|
jbe@0
|
1615 strptr += valid;
|
jbe@0
|
1616 entrytype = PGL_ENTRY_POLYGON;
|
jbe@0
|
1617 goto pgl_ecluster_in_type_ok;
|
jbe@0
|
1618 }
|
jbe@0
|
1619 /* error if no valid token found */
|
jbe@0
|
1620 goto pgl_ecluster_in_error;
|
jbe@0
|
1621 pgl_ecluster_in_type_ok:
|
jbe@0
|
1622 /* check if pgl_newentry array needs to grow */
|
jbe@0
|
1623 if (nentries == entries_buflen) {
|
jbe@0
|
1624 pgl_newentry *newbuf;
|
jbe@0
|
1625 entries_buflen *= 2;
|
jbe@0
|
1626 newbuf = palloc(entries_buflen * sizeof(pgl_newentry));
|
jbe@0
|
1627 memcpy(newbuf, entries, nentries * sizeof(pgl_newentry));
|
jbe@0
|
1628 pfree(entries);
|
jbe@0
|
1629 entries = newbuf;
|
jbe@0
|
1630 }
|
jbe@0
|
1631 /* reset number of points for current entry */
|
jbe@0
|
1632 npoints = 0;
|
jbe@0
|
1633 /* allocate array for points */
|
jbe@0
|
1634 points_buflen = 4;
|
jbe@0
|
1635 points = palloc(points_buflen * sizeof(pgl_point));
|
jbe@0
|
1636 /* parse until closing parenthesis */
|
jbe@0
|
1637 while (strptr[0] != ')') {
|
jbe@0
|
1638 /* error on unexpected end of string */
|
jbe@0
|
1639 if (strptr[0] == 0) goto pgl_ecluster_in_error;
|
jbe@0
|
1640 /* mark neither latitude nor longitude as read */
|
jbe@0
|
1641 done = PGL_SCAN_NONE;
|
jbe@0
|
1642 /* require white-space before second, third, etc. point */
|
jbe@0
|
1643 if (npoints != 0 && !isspace(strptr[-1])) goto pgl_ecluster_in_error;
|
jbe@0
|
1644 /* scan latitude (or longitude) */
|
jbe@0
|
1645 done |= pgl_scan(&strptr, &lat, &lon);
|
jbe@0
|
1646 /* require white-space before second coordinate */
|
jbe@0
|
1647 if (strptr != str && !isspace(strptr[-1])) goto pgl_ecluster_in_error;
|
jbe@0
|
1648 /* scan longitude (or latitude) */
|
jbe@0
|
1649 done |= pgl_scan(&strptr, &lat, &lon);
|
jbe@0
|
1650 /* error unless both latitude and longitude were parsed */
|
jbe@0
|
1651 if (done != PGL_SCAN_LATLON) goto pgl_ecluster_in_error;
|
jbe@0
|
1652 /* throw error if number of points is too high */
|
jbe@0
|
1653 if (npoints_total == PGL_CLUSTER_MAXPOINTS) {
|
jbe@0
|
1654 ereport(ERROR, (
|
jbe@0
|
1655 errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
|
jbe@0
|
1656 errmsg(
|
jbe@0
|
1657 "too many points for ecluster entry (maximum %i)",
|
jbe@0
|
1658 PGL_CLUSTER_MAXPOINTS
|
jbe@0
|
1659 )
|
jbe@0
|
1660 ));
|
jbe@0
|
1661 }
|
jbe@0
|
1662 /* check if pgl_point array needs to grow */
|
jbe@0
|
1663 if (npoints == points_buflen) {
|
jbe@0
|
1664 pgl_point *newbuf;
|
jbe@0
|
1665 points_buflen *= 2;
|
jbe@0
|
1666 newbuf = palloc(points_buflen * sizeof(pgl_point));
|
jbe@0
|
1667 memcpy(newbuf, points, npoints * sizeof(pgl_point));
|
jbe@0
|
1668 pfree(points);
|
jbe@0
|
1669 points = newbuf;
|
jbe@0
|
1670 }
|
jbe@0
|
1671 /* append point to pgl_point array (includes checks) */
|
jbe@0
|
1672 pgl_epoint_set_latlon(&(points[npoints++]), lat, lon);
|
jbe@0
|
1673 /* increase total number of points */
|
jbe@0
|
1674 npoints_total++;
|
jbe@0
|
1675 }
|
jbe@0
|
1676 /* error if entry has no points */
|
jbe@0
|
1677 if (!npoints) goto pgl_ecluster_in_error;
|
jbe@0
|
1678 /* entries with one point are automatically of type "point" */
|
jbe@0
|
1679 if (npoints == 1) entrytype = PGL_ENTRY_POINT;
|
jbe@0
|
1680 /* if entries have more than one point */
|
jbe@0
|
1681 else {
|
jbe@0
|
1682 /* throw error if entry type is "point" */
|
jbe@0
|
1683 if (entrytype == PGL_ENTRY_POINT) {
|
jbe@0
|
1684 ereport(ERROR, (
|
jbe@0
|
1685 errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
|
jbe@0
|
1686 errmsg("invalid input syntax for type ecluster (point entry with more than one point)")
|
jbe@0
|
1687 ));
|
jbe@0
|
1688 }
|
jbe@0
|
1689 /* coerce outlines and polygons with more than 2 points to be a path */
|
jbe@0
|
1690 if (npoints == 2) entrytype = PGL_ENTRY_PATH;
|
jbe@0
|
1691 }
|
jbe@0
|
1692 /* append entry to pgl_newentry array */
|
jbe@0
|
1693 entries[nentries].entrytype = entrytype;
|
jbe@0
|
1694 entries[nentries].npoints = npoints;
|
jbe@0
|
1695 entries[nentries].points = points;
|
jbe@0
|
1696 nentries++;
|
jbe@0
|
1697 /* consume closing parenthesis */
|
jbe@0
|
1698 strptr++;
|
jbe@0
|
1699 /* consume white-space */
|
jbe@0
|
1700 while (isspace(strptr[0])) strptr++;
|
jbe@0
|
1701 }
|
jbe@0
|
1702 /* free lower case string */
|
jbe@0
|
1703 pfree(str_lower);
|
jbe@0
|
1704 /* create cluster from pgl_newentry array */
|
jbe@0
|
1705 cluster = pgl_new_cluster(nentries, entries);
|
jbe@0
|
1706 /* free pgl_newentry array */
|
jbe@0
|
1707 for (i=0; i<nentries; i++) pfree(entries[i].points);
|
jbe@0
|
1708 pfree(entries);
|
jbe@0
|
1709 /* set bounding circle of cluster and check east/west orientation */
|
jbe@0
|
1710 if (!pgl_finalize_cluster(cluster)) {
|
jbe@0
|
1711 ereport(ERROR, (
|
jbe@0
|
1712 errcode(ERRCODE_DATA_EXCEPTION),
|
jbe@0
|
1713 errmsg("can not determine east/west orientation for ecluster"),
|
jbe@0
|
1714 errhint("Ensure that each entry has a longitude span of less than 180 degrees.")
|
jbe@0
|
1715 ));
|
jbe@0
|
1716 }
|
jbe@0
|
1717 /* return cluster */
|
jbe@0
|
1718 PG_RETURN_POINTER(cluster);
|
jbe@0
|
1719 /* code to throw error */
|
jbe@0
|
1720 pgl_ecluster_in_error:
|
jbe@0
|
1721 ereport(ERROR, (
|
jbe@0
|
1722 errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
|
jbe@0
|
1723 errmsg("invalid input syntax for type ecluster: \"%s\"", str)
|
jbe@0
|
1724 ));
|
jbe@0
|
1725 }
|
jbe@0
|
1726
|
jbe@0
|
1727 /* convert point ("epoint") to string representation */
|
jbe@0
|
1728 PG_FUNCTION_INFO_V1(pgl_epoint_out);
|
jbe@0
|
1729 Datum pgl_epoint_out(PG_FUNCTION_ARGS) {
|
jbe@0
|
1730 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
1731 char latstr[PGL_NUMBUFLEN];
|
jbe@0
|
1732 char lonstr[PGL_NUMBUFLEN];
|
jbe@0
|
1733 pgl_print_lat(latstr, point->lat);
|
jbe@0
|
1734 pgl_print_lon(lonstr, point->lon);
|
jbe@0
|
1735 PG_RETURN_CSTRING(psprintf("%s %s", latstr, lonstr));
|
jbe@0
|
1736 }
|
jbe@0
|
1737
|
jbe@0
|
1738 /* convert box ("ebox") to string representation */
|
jbe@0
|
1739 PG_FUNCTION_INFO_V1(pgl_ebox_out);
|
jbe@0
|
1740 Datum pgl_ebox_out(PG_FUNCTION_ARGS) {
|
jbe@0
|
1741 pgl_box *box = (pgl_box *)PG_GETARG_POINTER(0);
|
jbe@0
|
1742 double lon_min = box->lon_min;
|
jbe@0
|
1743 double lon_max = box->lon_max;
|
jbe@0
|
1744 char lat_min_str[PGL_NUMBUFLEN];
|
jbe@0
|
1745 char lat_max_str[PGL_NUMBUFLEN];
|
jbe@0
|
1746 char lon_min_str[PGL_NUMBUFLEN];
|
jbe@0
|
1747 char lon_max_str[PGL_NUMBUFLEN];
|
jbe@0
|
1748 /* return string "empty" if box is set to be empty */
|
jbe@0
|
1749 if (box->lat_min > box->lat_max) PG_RETURN_CSTRING("empty");
|
jbe@0
|
1750 /* use boundaries exceeding W180 or E180 if 180th meridian is enclosed */
|
jbe@0
|
1751 /* (required since pgl_box_in orders the longitude boundaries) */
|
jbe@0
|
1752 if (lon_min > lon_max) {
|
jbe@0
|
1753 if (lon_min + lon_max >= 0) lon_min -= 360;
|
jbe@0
|
1754 else lon_max += 360;
|
jbe@0
|
1755 }
|
jbe@0
|
1756 /* format and return result */
|
jbe@0
|
1757 pgl_print_lat(lat_min_str, box->lat_min);
|
jbe@0
|
1758 pgl_print_lat(lat_max_str, box->lat_max);
|
jbe@0
|
1759 pgl_print_lon(lon_min_str, lon_min);
|
jbe@0
|
1760 pgl_print_lon(lon_max_str, lon_max);
|
jbe@0
|
1761 PG_RETURN_CSTRING(psprintf(
|
jbe@0
|
1762 "%s %s %s %s",
|
jbe@0
|
1763 lat_min_str, lon_min_str, lat_max_str, lon_max_str
|
jbe@0
|
1764 ));
|
jbe@0
|
1765 }
|
jbe@0
|
1766
|
jbe@0
|
1767 /* convert circle ("ecircle") to string representation */
|
jbe@0
|
1768 PG_FUNCTION_INFO_V1(pgl_ecircle_out);
|
jbe@0
|
1769 Datum pgl_ecircle_out(PG_FUNCTION_ARGS) {
|
jbe@0
|
1770 pgl_circle *circle = (pgl_circle *)PG_GETARG_POINTER(0);
|
jbe@0
|
1771 char latstr[PGL_NUMBUFLEN];
|
jbe@0
|
1772 char lonstr[PGL_NUMBUFLEN];
|
jbe@0
|
1773 char radstr[PGL_NUMBUFLEN];
|
jbe@0
|
1774 pgl_print_lat(latstr, circle->center.lat);
|
jbe@0
|
1775 pgl_print_lon(lonstr, circle->center.lon);
|
jbe@0
|
1776 pgl_print_float(radstr, circle->radius);
|
jbe@0
|
1777 PG_RETURN_CSTRING(psprintf("%s %s %s", latstr, lonstr, radstr));
|
jbe@0
|
1778 }
|
jbe@0
|
1779
|
jbe@0
|
1780 /* convert cluster ("ecluster") to string representation */
|
jbe@0
|
1781 PG_FUNCTION_INFO_V1(pgl_ecluster_out);
|
jbe@0
|
1782 Datum pgl_ecluster_out(PG_FUNCTION_ARGS) {
|
jbe@0
|
1783 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(0));
|
jbe@0
|
1784 char latstr[PGL_NUMBUFLEN]; /* string buffer for latitude */
|
jbe@0
|
1785 char lonstr[PGL_NUMBUFLEN]; /* string buffer for longitude */
|
jbe@0
|
1786 char ***strings; /* array of array of strings */
|
jbe@0
|
1787 char *string; /* string of current token */
|
jbe@0
|
1788 char *res, *resptr; /* result and pointer to current write position */
|
jbe@0
|
1789 size_t reslen = 1; /* length of result (init with 1 for terminator) */
|
jbe@0
|
1790 int npoints; /* number of points of current entry */
|
jbe@0
|
1791 int i, j; /* i: entry, j: point in entry */
|
jbe@0
|
1792 /* handle empty clusters */
|
jbe@0
|
1793 if (cluster->nentries == 0) {
|
jbe@0
|
1794 /* free detoasted cluster (if copy) */
|
jbe@0
|
1795 PG_FREE_IF_COPY(cluster, 0);
|
jbe@0
|
1796 /* return static result */
|
jbe@0
|
1797 PG_RETURN_CSTRING("empty");
|
jbe@0
|
1798 }
|
jbe@0
|
1799 /* allocate array of array of strings */
|
jbe@0
|
1800 strings = palloc(cluster->nentries * sizeof(char **));
|
jbe@0
|
1801 /* iterate over all entries in cluster */
|
jbe@0
|
1802 for (i=0; i<cluster->nentries; i++) {
|
jbe@0
|
1803 /* get number of points in entry */
|
jbe@0
|
1804 npoints = cluster->entries[i].npoints;
|
jbe@0
|
1805 /* allocate array of strings (one string for each point plus two extra) */
|
jbe@0
|
1806 strings[i] = palloc((2 + npoints) * sizeof(char *));
|
jbe@0
|
1807 /* determine opening string */
|
jbe@0
|
1808 switch (cluster->entries[i].entrytype) {
|
jbe@0
|
1809 case PGL_ENTRY_POINT: string = (i==0)?"point (" :" point ("; break;
|
jbe@0
|
1810 case PGL_ENTRY_PATH: string = (i==0)?"path (" :" path ("; break;
|
jbe@0
|
1811 case PGL_ENTRY_OUTLINE: string = (i==0)?"outline (":" outline ("; break;
|
jbe@0
|
1812 case PGL_ENTRY_POLYGON: string = (i==0)?"polygon (":" polygon ("; break;
|
jbe@0
|
1813 default: string = (i==0)?"unknown" :" unknown";
|
jbe@0
|
1814 }
|
jbe@0
|
1815 /* use opening string as first string in array */
|
jbe@0
|
1816 strings[i][0] = string;
|
jbe@0
|
1817 /* update result length (for allocating result string later) */
|
jbe@0
|
1818 reslen += strlen(string);
|
jbe@0
|
1819 /* iterate over all points */
|
jbe@0
|
1820 for (j=0; j<npoints; j++) {
|
jbe@0
|
1821 /* create string representation of point */
|
jbe@0
|
1822 pgl_print_lat(latstr, PGL_ENTRY_POINTS(cluster, i)[j].lat);
|
jbe@0
|
1823 pgl_print_lon(lonstr, PGL_ENTRY_POINTS(cluster, i)[j].lon);
|
jbe@0
|
1824 string = psprintf((j == 0) ? "%s %s" : " %s %s", latstr, lonstr);
|
jbe@0
|
1825 /* copy string pointer to string array */
|
jbe@0
|
1826 strings[i][j+1] = string;
|
jbe@0
|
1827 /* update result length (for allocating result string later) */
|
jbe@0
|
1828 reslen += strlen(string);
|
jbe@0
|
1829 }
|
jbe@0
|
1830 /* use closing parenthesis as last string in array */
|
jbe@0
|
1831 strings[i][npoints+1] = ")";
|
jbe@0
|
1832 /* update result length (for allocating result string later) */
|
jbe@0
|
1833 reslen++;
|
jbe@0
|
1834 }
|
jbe@0
|
1835 /* allocate result string */
|
jbe@0
|
1836 res = palloc(reslen);
|
jbe@0
|
1837 /* set write pointer to begin of result string */
|
jbe@0
|
1838 resptr = res;
|
jbe@0
|
1839 /* copy strings into result string */
|
jbe@0
|
1840 for (i=0; i<cluster->nentries; i++) {
|
jbe@0
|
1841 npoints = cluster->entries[i].npoints;
|
jbe@0
|
1842 for (j=0; j<npoints+2; j++) {
|
jbe@0
|
1843 string = strings[i][j];
|
jbe@0
|
1844 strcpy(resptr, string);
|
jbe@0
|
1845 resptr += strlen(string);
|
jbe@0
|
1846 /* free strings allocated by psprintf */
|
jbe@0
|
1847 if (j != 0 && j != npoints+1) pfree(string);
|
jbe@0
|
1848 }
|
jbe@0
|
1849 /* free array of strings */
|
jbe@0
|
1850 pfree(strings[i]);
|
jbe@0
|
1851 }
|
jbe@0
|
1852 /* free array of array of strings */
|
jbe@0
|
1853 pfree(strings);
|
jbe@0
|
1854 /* free detoasted cluster (if copy) */
|
jbe@0
|
1855 PG_FREE_IF_COPY(cluster, 0);
|
jbe@0
|
1856 /* return result */
|
jbe@0
|
1857 PG_RETURN_CSTRING(res);
|
jbe@0
|
1858 }
|
jbe@0
|
1859
|
jbe@0
|
1860 /* binary input function for point ("epoint") */
|
jbe@0
|
1861 PG_FUNCTION_INFO_V1(pgl_epoint_recv);
|
jbe@0
|
1862 Datum pgl_epoint_recv(PG_FUNCTION_ARGS) {
|
jbe@0
|
1863 StringInfo buf = (StringInfo)PG_GETARG_POINTER(0);
|
jbe@0
|
1864 pgl_point *point = (pgl_point *)palloc(sizeof(pgl_point));
|
jbe@0
|
1865 point->lat = pq_getmsgfloat8(buf);
|
jbe@0
|
1866 point->lon = pq_getmsgfloat8(buf);
|
jbe@0
|
1867 PG_RETURN_POINTER(point);
|
jbe@0
|
1868 }
|
jbe@0
|
1869
|
jbe@0
|
1870 /* binary input function for box ("ebox") */
|
jbe@0
|
1871 PG_FUNCTION_INFO_V1(pgl_ebox_recv);
|
jbe@0
|
1872 Datum pgl_ebox_recv(PG_FUNCTION_ARGS) {
|
jbe@0
|
1873 StringInfo buf = (StringInfo)PG_GETARG_POINTER(0);
|
jbe@0
|
1874 pgl_box *box = (pgl_box *)palloc(sizeof(pgl_box));
|
jbe@0
|
1875 box->lat_min = pq_getmsgfloat8(buf);
|
jbe@0
|
1876 box->lat_max = pq_getmsgfloat8(buf);
|
jbe@0
|
1877 box->lon_min = pq_getmsgfloat8(buf);
|
jbe@0
|
1878 box->lon_max = pq_getmsgfloat8(buf);
|
jbe@0
|
1879 PG_RETURN_POINTER(box);
|
jbe@0
|
1880 }
|
jbe@0
|
1881
|
jbe@0
|
1882 /* binary input function for circle ("ecircle") */
|
jbe@0
|
1883 PG_FUNCTION_INFO_V1(pgl_ecircle_recv);
|
jbe@0
|
1884 Datum pgl_ecircle_recv(PG_FUNCTION_ARGS) {
|
jbe@0
|
1885 StringInfo buf = (StringInfo)PG_GETARG_POINTER(0);
|
jbe@0
|
1886 pgl_circle *circle = (pgl_circle *)palloc(sizeof(pgl_circle));
|
jbe@0
|
1887 circle->center.lat = pq_getmsgfloat8(buf);
|
jbe@0
|
1888 circle->center.lon = pq_getmsgfloat8(buf);
|
jbe@0
|
1889 circle->radius = pq_getmsgfloat8(buf);
|
jbe@0
|
1890 PG_RETURN_POINTER(circle);
|
jbe@0
|
1891 }
|
jbe@0
|
1892
|
jbe@0
|
1893 /* TODO: binary receive function for cluster */
|
jbe@0
|
1894
|
jbe@0
|
1895 /* binary output function for point ("epoint") */
|
jbe@0
|
1896 PG_FUNCTION_INFO_V1(pgl_epoint_send);
|
jbe@0
|
1897 Datum pgl_epoint_send(PG_FUNCTION_ARGS) {
|
jbe@0
|
1898 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
1899 StringInfoData buf;
|
jbe@0
|
1900 pq_begintypsend(&buf);
|
jbe@0
|
1901 pq_sendfloat8(&buf, point->lat);
|
jbe@0
|
1902 pq_sendfloat8(&buf, point->lon);
|
jbe@0
|
1903 PG_RETURN_BYTEA_P(pq_endtypsend(&buf));
|
jbe@0
|
1904 }
|
jbe@0
|
1905
|
jbe@0
|
1906 /* binary output function for box ("ebox") */
|
jbe@0
|
1907 PG_FUNCTION_INFO_V1(pgl_ebox_send);
|
jbe@0
|
1908 Datum pgl_ebox_send(PG_FUNCTION_ARGS) {
|
jbe@0
|
1909 pgl_box *box = (pgl_box *)PG_GETARG_POINTER(0);
|
jbe@0
|
1910 StringInfoData buf;
|
jbe@0
|
1911 pq_begintypsend(&buf);
|
jbe@0
|
1912 pq_sendfloat8(&buf, box->lat_min);
|
jbe@0
|
1913 pq_sendfloat8(&buf, box->lat_max);
|
jbe@0
|
1914 pq_sendfloat8(&buf, box->lon_min);
|
jbe@0
|
1915 pq_sendfloat8(&buf, box->lon_max);
|
jbe@0
|
1916 PG_RETURN_BYTEA_P(pq_endtypsend(&buf));
|
jbe@0
|
1917 }
|
jbe@0
|
1918
|
jbe@0
|
1919 /* binary output function for circle ("ecircle") */
|
jbe@0
|
1920 PG_FUNCTION_INFO_V1(pgl_ecircle_send);
|
jbe@0
|
1921 Datum pgl_ecircle_send(PG_FUNCTION_ARGS) {
|
jbe@0
|
1922 pgl_circle *circle = (pgl_circle *)PG_GETARG_POINTER(0);
|
jbe@0
|
1923 StringInfoData buf;
|
jbe@0
|
1924 pq_begintypsend(&buf);
|
jbe@0
|
1925 pq_sendfloat8(&buf, circle->center.lat);
|
jbe@0
|
1926 pq_sendfloat8(&buf, circle->center.lon);
|
jbe@0
|
1927 pq_sendfloat8(&buf, circle->radius);
|
jbe@0
|
1928 PG_RETURN_BYTEA_P(pq_endtypsend(&buf));
|
jbe@0
|
1929 }
|
jbe@0
|
1930
|
jbe@0
|
1931 /* TODO: binary send functions for cluster */
|
jbe@0
|
1932
|
jbe@0
|
1933 /* cast point ("epoint") to box ("ebox") */
|
jbe@0
|
1934 PG_FUNCTION_INFO_V1(pgl_epoint_to_ebox);
|
jbe@0
|
1935 Datum pgl_epoint_to_ebox(PG_FUNCTION_ARGS) {
|
jbe@0
|
1936 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
1937 pgl_box *box = palloc(sizeof(pgl_box));
|
jbe@0
|
1938 box->lat_min = point->lat;
|
jbe@0
|
1939 box->lat_max = point->lat;
|
jbe@0
|
1940 box->lon_min = point->lon;
|
jbe@0
|
1941 box->lon_max = point->lon;
|
jbe@0
|
1942 PG_RETURN_POINTER(box);
|
jbe@0
|
1943 }
|
jbe@0
|
1944
|
jbe@0
|
1945 /* cast point ("epoint") to circle ("ecircle") */
|
jbe@0
|
1946 PG_FUNCTION_INFO_V1(pgl_epoint_to_ecircle);
|
jbe@0
|
1947 Datum pgl_epoint_to_ecircle(PG_FUNCTION_ARGS) {
|
jbe@0
|
1948 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
1949 pgl_circle *circle = palloc(sizeof(pgl_box));
|
jbe@0
|
1950 circle->center = *point;
|
jbe@0
|
1951 circle->radius = 0;
|
jbe@0
|
1952 PG_RETURN_POINTER(circle);
|
jbe@0
|
1953 }
|
jbe@0
|
1954
|
jbe@0
|
1955 /* cast point ("epoint") to cluster ("ecluster") */
|
jbe@0
|
1956 PG_FUNCTION_INFO_V1(pgl_epoint_to_ecluster);
|
jbe@0
|
1957 Datum pgl_epoint_to_ecluster(PG_FUNCTION_ARGS) {
|
jbe@0
|
1958 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
1959 pgl_newentry entry;
|
jbe@0
|
1960 entry.entrytype = PGL_ENTRY_POINT;
|
jbe@0
|
1961 entry.npoints = 1;
|
jbe@0
|
1962 entry.points = point;
|
jbe@0
|
1963 PG_RETURN_POINTER(pgl_new_cluster(1, &entry));
|
jbe@0
|
1964 }
|
jbe@0
|
1965
|
jbe@0
|
1966 /* cast box ("ebox") to cluster ("ecluster") */
|
jbe@0
|
1967 #define pgl_ebox_to_ecluster_macro(i, a, b) \
|
jbe@0
|
1968 entries[i].entrytype = PGL_ENTRY_POLYGON; \
|
jbe@0
|
1969 entries[i].npoints = 4; \
|
jbe@0
|
1970 entries[i].points = points[i]; \
|
jbe@0
|
1971 points[i][0].lat = box->lat_min; \
|
jbe@0
|
1972 points[i][0].lon = (a); \
|
jbe@0
|
1973 points[i][1].lat = box->lat_min; \
|
jbe@0
|
1974 points[i][1].lon = (b); \
|
jbe@0
|
1975 points[i][2].lat = box->lat_max; \
|
jbe@0
|
1976 points[i][2].lon = (b); \
|
jbe@0
|
1977 points[i][3].lat = box->lat_max; \
|
jbe@0
|
1978 points[i][3].lon = (a);
|
jbe@0
|
1979 PG_FUNCTION_INFO_V1(pgl_ebox_to_ecluster);
|
jbe@0
|
1980 Datum pgl_ebox_to_ecluster(PG_FUNCTION_ARGS) {
|
jbe@0
|
1981 pgl_box *box = (pgl_box *)PG_GETARG_POINTER(0);
|
jbe@0
|
1982 double lon, dlon;
|
jbe@0
|
1983 int nentries;
|
jbe@0
|
1984 pgl_newentry entries[3];
|
jbe@0
|
1985 pgl_point points[3][4];
|
jbe@0
|
1986 if (box->lat_min > box->lat_max) {
|
jbe@0
|
1987 nentries = 0;
|
jbe@0
|
1988 } else if (box->lon_min > box->lon_max) {
|
jbe@0
|
1989 if (box->lon_min < 0) {
|
jbe@0
|
1990 lon = pgl_round((box->lon_min + 180) / 2.0);
|
jbe@0
|
1991 nentries = 3;
|
jbe@0
|
1992 pgl_ebox_to_ecluster_macro(0, box->lon_min, lon);
|
jbe@0
|
1993 pgl_ebox_to_ecluster_macro(1, lon, 180);
|
jbe@0
|
1994 pgl_ebox_to_ecluster_macro(2, -180, box->lon_max);
|
jbe@0
|
1995 } else if (box->lon_max > 0) {
|
jbe@0
|
1996 lon = pgl_round((box->lon_max - 180) / 2.0);
|
jbe@0
|
1997 nentries = 3;
|
jbe@0
|
1998 pgl_ebox_to_ecluster_macro(0, box->lon_min, 180);
|
jbe@0
|
1999 pgl_ebox_to_ecluster_macro(1, -180, lon);
|
jbe@0
|
2000 pgl_ebox_to_ecluster_macro(2, lon, box->lon_max);
|
jbe@0
|
2001 } else {
|
jbe@0
|
2002 nentries = 2;
|
jbe@0
|
2003 pgl_ebox_to_ecluster_macro(0, box->lon_min, 180);
|
jbe@0
|
2004 pgl_ebox_to_ecluster_macro(1, -180, box->lon_max);
|
jbe@0
|
2005 }
|
jbe@0
|
2006 } else {
|
jbe@0
|
2007 dlon = pgl_round(box->lon_max - box->lon_min);
|
jbe@0
|
2008 if (dlon < 180) {
|
jbe@0
|
2009 nentries = 1;
|
jbe@0
|
2010 pgl_ebox_to_ecluster_macro(0, box->lon_min, box->lon_max);
|
jbe@0
|
2011 } else {
|
jbe@0
|
2012 lon = pgl_round((box->lon_min + box->lon_max) / 2.0);
|
jbe@0
|
2013 if (
|
jbe@0
|
2014 pgl_round(lon - box->lon_min) < 180 &&
|
jbe@0
|
2015 pgl_round(box->lon_max - lon) < 180
|
jbe@0
|
2016 ) {
|
jbe@0
|
2017 nentries = 2;
|
jbe@0
|
2018 pgl_ebox_to_ecluster_macro(0, box->lon_min, lon);
|
jbe@0
|
2019 pgl_ebox_to_ecluster_macro(1, lon, box->lon_max);
|
jbe@0
|
2020 } else {
|
jbe@0
|
2021 nentries = 3;
|
jbe@0
|
2022 pgl_ebox_to_ecluster_macro(0, box->lon_min, -60);
|
jbe@0
|
2023 pgl_ebox_to_ecluster_macro(1, -60, 60);
|
jbe@0
|
2024 pgl_ebox_to_ecluster_macro(2, 60, box->lon_max);
|
jbe@0
|
2025 }
|
jbe@0
|
2026 }
|
jbe@0
|
2027 }
|
jbe@0
|
2028 PG_RETURN_POINTER(pgl_new_cluster(nentries, entries));
|
jbe@0
|
2029 }
|
jbe@0
|
2030
|
jbe@0
|
2031 /* extract latitude from point ("epoint") */
|
jbe@0
|
2032 PG_FUNCTION_INFO_V1(pgl_epoint_lat);
|
jbe@0
|
2033 Datum pgl_epoint_lat(PG_FUNCTION_ARGS) {
|
jbe@0
|
2034 PG_RETURN_FLOAT8(((pgl_point *)PG_GETARG_POINTER(0))->lat);
|
jbe@0
|
2035 }
|
jbe@0
|
2036
|
jbe@0
|
2037 /* extract longitude from point ("epoint") */
|
jbe@0
|
2038 PG_FUNCTION_INFO_V1(pgl_epoint_lon);
|
jbe@0
|
2039 Datum pgl_epoint_lon(PG_FUNCTION_ARGS) {
|
jbe@0
|
2040 PG_RETURN_FLOAT8(((pgl_point *)PG_GETARG_POINTER(0))->lon);
|
jbe@0
|
2041 }
|
jbe@0
|
2042
|
jbe@0
|
2043 /* extract minimum latitude from box ("ebox") */
|
jbe@0
|
2044 PG_FUNCTION_INFO_V1(pgl_ebox_lat_min);
|
jbe@0
|
2045 Datum pgl_ebox_lat_min(PG_FUNCTION_ARGS) {
|
jbe@0
|
2046 PG_RETURN_FLOAT8(((pgl_box *)PG_GETARG_POINTER(0))->lat_min);
|
jbe@0
|
2047 }
|
jbe@0
|
2048
|
jbe@0
|
2049 /* extract maximum latitude from box ("ebox") */
|
jbe@0
|
2050 PG_FUNCTION_INFO_V1(pgl_ebox_lat_max);
|
jbe@0
|
2051 Datum pgl_ebox_lat_max(PG_FUNCTION_ARGS) {
|
jbe@0
|
2052 PG_RETURN_FLOAT8(((pgl_box *)PG_GETARG_POINTER(0))->lat_max);
|
jbe@0
|
2053 }
|
jbe@0
|
2054
|
jbe@0
|
2055 /* extract minimum longitude from box ("ebox") */
|
jbe@0
|
2056 PG_FUNCTION_INFO_V1(pgl_ebox_lon_min);
|
jbe@0
|
2057 Datum pgl_ebox_lon_min(PG_FUNCTION_ARGS) {
|
jbe@0
|
2058 PG_RETURN_FLOAT8(((pgl_box *)PG_GETARG_POINTER(0))->lon_min);
|
jbe@0
|
2059 }
|
jbe@0
|
2060
|
jbe@0
|
2061 /* extract maximum longitude from box ("ebox") */
|
jbe@0
|
2062 PG_FUNCTION_INFO_V1(pgl_ebox_lon_max);
|
jbe@0
|
2063 Datum pgl_ebox_lon_max(PG_FUNCTION_ARGS) {
|
jbe@0
|
2064 PG_RETURN_FLOAT8(((pgl_box *)PG_GETARG_POINTER(0))->lon_max);
|
jbe@0
|
2065 }
|
jbe@0
|
2066
|
jbe@0
|
2067 /* extract center point from circle ("ecircle") */
|
jbe@0
|
2068 PG_FUNCTION_INFO_V1(pgl_ecircle_center);
|
jbe@0
|
2069 Datum pgl_ecircle_center(PG_FUNCTION_ARGS) {
|
jbe@0
|
2070 PG_RETURN_POINTER(&(((pgl_circle *)PG_GETARG_POINTER(0))->center));
|
jbe@0
|
2071 }
|
jbe@0
|
2072
|
jbe@0
|
2073 /* extract radius from circle ("ecircle") */
|
jbe@0
|
2074 PG_FUNCTION_INFO_V1(pgl_ecircle_radius);
|
jbe@0
|
2075 Datum pgl_ecircle_radius(PG_FUNCTION_ARGS) {
|
jbe@0
|
2076 PG_RETURN_FLOAT8(((pgl_circle *)PG_GETARG_POINTER(0))->radius);
|
jbe@0
|
2077 }
|
jbe@0
|
2078
|
jbe@0
|
2079 /* check if point is inside box (overlap operator "&&") in SQL */
|
jbe@0
|
2080 PG_FUNCTION_INFO_V1(pgl_epoint_ebox_overlap);
|
jbe@0
|
2081 Datum pgl_epoint_ebox_overlap(PG_FUNCTION_ARGS) {
|
jbe@0
|
2082 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
2083 pgl_box *box = (pgl_box *)PG_GETARG_POINTER(1);
|
jbe@0
|
2084 PG_RETURN_BOOL(pgl_point_in_box(point, box));
|
jbe@0
|
2085 }
|
jbe@0
|
2086
|
jbe@0
|
2087 /* check if point is inside circle (overlap operator "&&") in SQL */
|
jbe@0
|
2088 PG_FUNCTION_INFO_V1(pgl_epoint_ecircle_overlap);
|
jbe@0
|
2089 Datum pgl_epoint_ecircle_overlap(PG_FUNCTION_ARGS) {
|
jbe@0
|
2090 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
2091 pgl_circle *circle = (pgl_circle *)PG_GETARG_POINTER(1);
|
jbe@0
|
2092 PG_RETURN_BOOL(
|
jbe@0
|
2093 pgl_distance(
|
jbe@0
|
2094 point->lat, point->lon,
|
jbe@0
|
2095 circle->center.lat, circle->center.lon
|
jbe@0
|
2096 ) <= circle->radius
|
jbe@0
|
2097 );
|
jbe@0
|
2098 }
|
jbe@0
|
2099
|
jbe@0
|
2100 /* check if point is inside cluster (overlap operator "&&") in SQL */
|
jbe@0
|
2101 PG_FUNCTION_INFO_V1(pgl_epoint_ecluster_overlap);
|
jbe@0
|
2102 Datum pgl_epoint_ecluster_overlap(PG_FUNCTION_ARGS) {
|
jbe@0
|
2103 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
2104 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@0
|
2105 bool retval = pgl_point_in_cluster(point, cluster);
|
jbe@0
|
2106 PG_FREE_IF_COPY(cluster, 1);
|
jbe@0
|
2107 PG_RETURN_BOOL(retval);
|
jbe@0
|
2108 }
|
jbe@0
|
2109
|
jbe@10
|
2110 /* check if point may be inside cluster (lossy overl. operator "&&+") in SQL */
|
jbe@10
|
2111 PG_FUNCTION_INFO_V1(pgl_epoint_ecluster_may_overlap);
|
jbe@10
|
2112 Datum pgl_epoint_ecluster_may_overlap(PG_FUNCTION_ARGS) {
|
jbe@10
|
2113 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@10
|
2114 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@10
|
2115 bool retval = pgl_distance(
|
jbe@10
|
2116 point->lat, point->lon,
|
jbe@10
|
2117 cluster->bounding.center.lat, cluster->bounding.center.lon
|
jbe@10
|
2118 ) <= cluster->bounding.radius;
|
jbe@10
|
2119 PG_FREE_IF_COPY(cluster, 1);
|
jbe@10
|
2120 PG_RETURN_BOOL(retval);
|
jbe@10
|
2121 }
|
jbe@10
|
2122
|
jbe@0
|
2123 /* check if two boxes overlap (overlap operator "&&") in SQL */
|
jbe@0
|
2124 PG_FUNCTION_INFO_V1(pgl_ebox_overlap);
|
jbe@0
|
2125 Datum pgl_ebox_overlap(PG_FUNCTION_ARGS) {
|
jbe@0
|
2126 pgl_box *box1 = (pgl_box *)PG_GETARG_POINTER(0);
|
jbe@0
|
2127 pgl_box *box2 = (pgl_box *)PG_GETARG_POINTER(1);
|
jbe@0
|
2128 PG_RETURN_BOOL(pgl_boxes_overlap(box1, box2));
|
jbe@0
|
2129 }
|
jbe@0
|
2130
|
jbe@10
|
2131 /* check if box and circle may overlap (lossy overl. operator "&&+") in SQL */
|
jbe@10
|
2132 PG_FUNCTION_INFO_V1(pgl_ebox_ecircle_may_overlap);
|
jbe@10
|
2133 Datum pgl_ebox_ecircle_may_overlap(PG_FUNCTION_ARGS) {
|
jbe@10
|
2134 pgl_box *box = (pgl_box *)PG_GETARG_POINTER(0);
|
jbe@10
|
2135 pgl_circle *circle = (pgl_circle *)PG_GETARG_POINTER(1);
|
jbe@10
|
2136 PG_RETURN_BOOL(
|
jbe@10
|
2137 pgl_estimate_point_box_distance(&circle->center, box) <= circle->radius
|
jbe@10
|
2138 );
|
jbe@10
|
2139 }
|
jbe@10
|
2140
|
jbe@10
|
2141 /* check if box and cluster may overlap (lossy overl. operator "&&+") in SQL */
|
jbe@10
|
2142 PG_FUNCTION_INFO_V1(pgl_ebox_ecluster_may_overlap);
|
jbe@10
|
2143 Datum pgl_ebox_ecluster_may_overlap(PG_FUNCTION_ARGS) {
|
jbe@10
|
2144 pgl_box *box = (pgl_box *)PG_GETARG_POINTER(0);
|
jbe@10
|
2145 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@10
|
2146 bool retval = pgl_estimate_point_box_distance(
|
jbe@10
|
2147 &cluster->bounding.center,
|
jbe@10
|
2148 box
|
jbe@10
|
2149 ) <= cluster->bounding.radius;
|
jbe@10
|
2150 PG_FREE_IF_COPY(cluster, 1);
|
jbe@10
|
2151 PG_RETURN_BOOL(retval);
|
jbe@10
|
2152 }
|
jbe@10
|
2153
|
jbe@0
|
2154 /* check if two circles overlap (overlap operator "&&") in SQL */
|
jbe@0
|
2155 PG_FUNCTION_INFO_V1(pgl_ecircle_overlap);
|
jbe@0
|
2156 Datum pgl_ecircle_overlap(PG_FUNCTION_ARGS) {
|
jbe@0
|
2157 pgl_circle *circle1 = (pgl_circle *)PG_GETARG_POINTER(0);
|
jbe@0
|
2158 pgl_circle *circle2 = (pgl_circle *)PG_GETARG_POINTER(1);
|
jbe@0
|
2159 PG_RETURN_BOOL(
|
jbe@0
|
2160 pgl_distance(
|
jbe@0
|
2161 circle1->center.lat, circle1->center.lon,
|
jbe@0
|
2162 circle2->center.lat, circle2->center.lon
|
jbe@0
|
2163 ) <= circle1->radius + circle2->radius
|
jbe@0
|
2164 );
|
jbe@0
|
2165 }
|
jbe@0
|
2166
|
jbe@0
|
2167 /* check if circle and cluster overlap (overlap operator "&&") in SQL */
|
jbe@0
|
2168 PG_FUNCTION_INFO_V1(pgl_ecircle_ecluster_overlap);
|
jbe@0
|
2169 Datum pgl_ecircle_ecluster_overlap(PG_FUNCTION_ARGS) {
|
jbe@0
|
2170 pgl_circle *circle = (pgl_circle *)PG_GETARG_POINTER(0);
|
jbe@0
|
2171 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@0
|
2172 bool retval = (
|
jbe@0
|
2173 pgl_point_cluster_distance(&(circle->center), cluster) <= circle->radius
|
jbe@0
|
2174 );
|
jbe@0
|
2175 PG_FREE_IF_COPY(cluster, 1);
|
jbe@0
|
2176 PG_RETURN_BOOL(retval);
|
jbe@0
|
2177 }
|
jbe@0
|
2178
|
jbe@10
|
2179 /* check if circle and cluster may be overlap (l. ov. operator "&&+") in SQL */
|
jbe@10
|
2180 PG_FUNCTION_INFO_V1(pgl_ecircle_ecluster_may_overlap);
|
jbe@10
|
2181 Datum pgl_ecircle_ecluster_may_overlap(PG_FUNCTION_ARGS) {
|
jbe@10
|
2182 pgl_circle *circle = (pgl_circle *)PG_GETARG_POINTER(0);
|
jbe@10
|
2183 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@10
|
2184 bool retval = pgl_distance(
|
jbe@10
|
2185 circle->center.lat, circle->center.lon,
|
jbe@10
|
2186 cluster->bounding.center.lat, cluster->bounding.center.lon
|
jbe@10
|
2187 ) <= circle->radius + cluster->bounding.radius;
|
jbe@10
|
2188 PG_FREE_IF_COPY(cluster, 1);
|
jbe@10
|
2189 PG_RETURN_BOOL(retval);
|
jbe@10
|
2190 }
|
jbe@10
|
2191
|
jbe@10
|
2192 /* check if two clusters may overlap (lossy overlap operator "&&+") in SQL */
|
jbe@10
|
2193 PG_FUNCTION_INFO_V1(pgl_ecluster_may_overlap);
|
jbe@10
|
2194 Datum pgl_ecluster_may_overlap(PG_FUNCTION_ARGS) {
|
jbe@10
|
2195 pgl_cluster *cluster1 = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(0));
|
jbe@10
|
2196 pgl_cluster *cluster2 = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@10
|
2197 bool retval = pgl_distance(
|
jbe@10
|
2198 cluster1->bounding.center.lat, cluster1->bounding.center.lon,
|
jbe@10
|
2199 cluster2->bounding.center.lat, cluster2->bounding.center.lon
|
jbe@10
|
2200 ) <= cluster1->bounding.radius + cluster2->bounding.radius;
|
jbe@10
|
2201 PG_FREE_IF_COPY(cluster1, 0);
|
jbe@10
|
2202 PG_FREE_IF_COPY(cluster2, 1);
|
jbe@10
|
2203 PG_RETURN_BOOL(retval);
|
jbe@10
|
2204 }
|
jbe@10
|
2205
|
jbe@0
|
2206 /* calculate distance between two points ("<->" operator) in SQL */
|
jbe@0
|
2207 PG_FUNCTION_INFO_V1(pgl_epoint_distance);
|
jbe@0
|
2208 Datum pgl_epoint_distance(PG_FUNCTION_ARGS) {
|
jbe@0
|
2209 pgl_point *point1 = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
2210 pgl_point *point2 = (pgl_point *)PG_GETARG_POINTER(1);
|
jbe@0
|
2211 PG_RETURN_FLOAT8(pgl_distance(
|
jbe@0
|
2212 point1->lat, point1->lon, point2->lat, point2->lon
|
jbe@0
|
2213 ));
|
jbe@0
|
2214 }
|
jbe@0
|
2215
|
jbe@0
|
2216 /* calculate point to circle distance ("<->" operator) in SQL */
|
jbe@0
|
2217 PG_FUNCTION_INFO_V1(pgl_epoint_ecircle_distance);
|
jbe@0
|
2218 Datum pgl_epoint_ecircle_distance(PG_FUNCTION_ARGS) {
|
jbe@0
|
2219 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
2220 pgl_circle *circle = (pgl_circle *)PG_GETARG_POINTER(1);
|
jbe@0
|
2221 double distance = pgl_distance(
|
jbe@0
|
2222 point->lat, point->lon, circle->center.lat, circle->center.lon
|
jbe@0
|
2223 ) - circle->radius;
|
jbe@0
|
2224 PG_RETURN_FLOAT8((distance <= 0) ? 0 : distance);
|
jbe@0
|
2225 }
|
jbe@0
|
2226
|
jbe@0
|
2227 /* calculate point to cluster distance ("<->" operator) in SQL */
|
jbe@0
|
2228 PG_FUNCTION_INFO_V1(pgl_epoint_ecluster_distance);
|
jbe@0
|
2229 Datum pgl_epoint_ecluster_distance(PG_FUNCTION_ARGS) {
|
jbe@0
|
2230 pgl_point *point = (pgl_point *)PG_GETARG_POINTER(0);
|
jbe@0
|
2231 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@0
|
2232 double distance = pgl_point_cluster_distance(point, cluster);
|
jbe@0
|
2233 PG_FREE_IF_COPY(cluster, 1);
|
jbe@0
|
2234 PG_RETURN_FLOAT8(distance);
|
jbe@0
|
2235 }
|
jbe@0
|
2236
|
jbe@0
|
2237 /* calculate distance between two circles ("<->" operator) in SQL */
|
jbe@0
|
2238 PG_FUNCTION_INFO_V1(pgl_ecircle_distance);
|
jbe@0
|
2239 Datum pgl_ecircle_distance(PG_FUNCTION_ARGS) {
|
jbe@0
|
2240 pgl_circle *circle1 = (pgl_circle *)PG_GETARG_POINTER(0);
|
jbe@0
|
2241 pgl_circle *circle2 = (pgl_circle *)PG_GETARG_POINTER(1);
|
jbe@0
|
2242 double distance = pgl_distance(
|
jbe@0
|
2243 circle1->center.lat, circle1->center.lon,
|
jbe@0
|
2244 circle2->center.lat, circle2->center.lon
|
jbe@0
|
2245 ) - (circle1->radius + circle2->radius);
|
jbe@0
|
2246 PG_RETURN_FLOAT8((distance <= 0) ? 0 : distance);
|
jbe@0
|
2247 }
|
jbe@0
|
2248
|
jbe@0
|
2249 /* calculate circle to cluster distance ("<->" operator) in SQL */
|
jbe@0
|
2250 PG_FUNCTION_INFO_V1(pgl_ecircle_ecluster_distance);
|
jbe@0
|
2251 Datum pgl_ecircle_ecluster_distance(PG_FUNCTION_ARGS) {
|
jbe@0
|
2252 pgl_circle *circle = (pgl_circle *)PG_GETARG_POINTER(0);
|
jbe@0
|
2253 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@0
|
2254 double distance = (
|
jbe@0
|
2255 pgl_point_cluster_distance(&(circle->center), cluster) - circle->radius
|
jbe@0
|
2256 );
|
jbe@0
|
2257 PG_FREE_IF_COPY(cluster, 1);
|
jbe@0
|
2258 PG_RETURN_FLOAT8((distance <= 0) ? 0 : distance);
|
jbe@0
|
2259 }
|
jbe@0
|
2260
|
jbe@0
|
2261
|
jbe@0
|
2262 /*-----------------------------------------------------------*
|
jbe@0
|
2263 * B-tree comparison operators and index support functions *
|
jbe@0
|
2264 *-----------------------------------------------------------*/
|
jbe@0
|
2265
|
jbe@0
|
2266 /* macro for a B-tree operator (without detoasting) */
|
jbe@0
|
2267 #define PGL_BTREE_OPER(func, type, cmpfunc, oper) \
|
jbe@0
|
2268 PG_FUNCTION_INFO_V1(func); \
|
jbe@0
|
2269 Datum func(PG_FUNCTION_ARGS) { \
|
jbe@0
|
2270 type *a = (type *)PG_GETARG_POINTER(0); \
|
jbe@0
|
2271 type *b = (type *)PG_GETARG_POINTER(1); \
|
jbe@0
|
2272 PG_RETURN_BOOL(cmpfunc(a, b) oper 0); \
|
jbe@0
|
2273 }
|
jbe@0
|
2274
|
jbe@0
|
2275 /* macro for a B-tree comparison function (without detoasting) */
|
jbe@0
|
2276 #define PGL_BTREE_CMP(func, type, cmpfunc) \
|
jbe@0
|
2277 PG_FUNCTION_INFO_V1(func); \
|
jbe@0
|
2278 Datum func(PG_FUNCTION_ARGS) { \
|
jbe@0
|
2279 type *a = (type *)PG_GETARG_POINTER(0); \
|
jbe@0
|
2280 type *b = (type *)PG_GETARG_POINTER(1); \
|
jbe@0
|
2281 PG_RETURN_INT32(cmpfunc(a, b)); \
|
jbe@0
|
2282 }
|
jbe@0
|
2283
|
jbe@0
|
2284 /* macro for a B-tree operator (with detoasting) */
|
jbe@0
|
2285 #define PGL_BTREE_OPER_DETOAST(func, type, cmpfunc, oper) \
|
jbe@0
|
2286 PG_FUNCTION_INFO_V1(func); \
|
jbe@0
|
2287 Datum func(PG_FUNCTION_ARGS) { \
|
jbe@0
|
2288 bool res; \
|
jbe@0
|
2289 type *a = (type *)PG_DETOAST_DATUM(PG_GETARG_DATUM(0)); \
|
jbe@0
|
2290 type *b = (type *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1)); \
|
jbe@0
|
2291 res = cmpfunc(a, b) oper 0; \
|
jbe@0
|
2292 PG_FREE_IF_COPY(a, 0); \
|
jbe@0
|
2293 PG_FREE_IF_COPY(b, 1); \
|
jbe@0
|
2294 PG_RETURN_BOOL(res); \
|
jbe@0
|
2295 }
|
jbe@0
|
2296
|
jbe@0
|
2297 /* macro for a B-tree comparison function (with detoasting) */
|
jbe@0
|
2298 #define PGL_BTREE_CMP_DETOAST(func, type, cmpfunc) \
|
jbe@0
|
2299 PG_FUNCTION_INFO_V1(func); \
|
jbe@0
|
2300 Datum func(PG_FUNCTION_ARGS) { \
|
jbe@0
|
2301 int32_t res; \
|
jbe@0
|
2302 type *a = (type *)PG_DETOAST_DATUM(PG_GETARG_DATUM(0)); \
|
jbe@0
|
2303 type *b = (type *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1)); \
|
jbe@0
|
2304 res = cmpfunc(a, b); \
|
jbe@0
|
2305 PG_FREE_IF_COPY(a, 0); \
|
jbe@0
|
2306 PG_FREE_IF_COPY(b, 1); \
|
jbe@0
|
2307 PG_RETURN_INT32(res); \
|
jbe@0
|
2308 }
|
jbe@0
|
2309
|
jbe@0
|
2310 /* B-tree operators and comparison function for point */
|
jbe@0
|
2311 PGL_BTREE_OPER(pgl_btree_epoint_lt, pgl_point, pgl_point_cmp, <)
|
jbe@0
|
2312 PGL_BTREE_OPER(pgl_btree_epoint_le, pgl_point, pgl_point_cmp, <=)
|
jbe@0
|
2313 PGL_BTREE_OPER(pgl_btree_epoint_eq, pgl_point, pgl_point_cmp, ==)
|
jbe@0
|
2314 PGL_BTREE_OPER(pgl_btree_epoint_ne, pgl_point, pgl_point_cmp, !=)
|
jbe@0
|
2315 PGL_BTREE_OPER(pgl_btree_epoint_ge, pgl_point, pgl_point_cmp, >=)
|
jbe@0
|
2316 PGL_BTREE_OPER(pgl_btree_epoint_gt, pgl_point, pgl_point_cmp, >)
|
jbe@0
|
2317 PGL_BTREE_CMP(pgl_btree_epoint_cmp, pgl_point, pgl_point_cmp)
|
jbe@0
|
2318
|
jbe@0
|
2319 /* B-tree operators and comparison function for box */
|
jbe@0
|
2320 PGL_BTREE_OPER(pgl_btree_ebox_lt, pgl_box, pgl_box_cmp, <)
|
jbe@0
|
2321 PGL_BTREE_OPER(pgl_btree_ebox_le, pgl_box, pgl_box_cmp, <=)
|
jbe@0
|
2322 PGL_BTREE_OPER(pgl_btree_ebox_eq, pgl_box, pgl_box_cmp, ==)
|
jbe@0
|
2323 PGL_BTREE_OPER(pgl_btree_ebox_ne, pgl_box, pgl_box_cmp, !=)
|
jbe@0
|
2324 PGL_BTREE_OPER(pgl_btree_ebox_ge, pgl_box, pgl_box_cmp, >=)
|
jbe@0
|
2325 PGL_BTREE_OPER(pgl_btree_ebox_gt, pgl_box, pgl_box_cmp, >)
|
jbe@0
|
2326 PGL_BTREE_CMP(pgl_btree_ebox_cmp, pgl_box, pgl_box_cmp)
|
jbe@0
|
2327
|
jbe@0
|
2328 /* B-tree operators and comparison function for circle */
|
jbe@0
|
2329 PGL_BTREE_OPER(pgl_btree_ecircle_lt, pgl_circle, pgl_circle_cmp, <)
|
jbe@0
|
2330 PGL_BTREE_OPER(pgl_btree_ecircle_le, pgl_circle, pgl_circle_cmp, <=)
|
jbe@0
|
2331 PGL_BTREE_OPER(pgl_btree_ecircle_eq, pgl_circle, pgl_circle_cmp, ==)
|
jbe@0
|
2332 PGL_BTREE_OPER(pgl_btree_ecircle_ne, pgl_circle, pgl_circle_cmp, !=)
|
jbe@0
|
2333 PGL_BTREE_OPER(pgl_btree_ecircle_ge, pgl_circle, pgl_circle_cmp, >=)
|
jbe@0
|
2334 PGL_BTREE_OPER(pgl_btree_ecircle_gt, pgl_circle, pgl_circle_cmp, >)
|
jbe@0
|
2335 PGL_BTREE_CMP(pgl_btree_ecircle_cmp, pgl_circle, pgl_circle_cmp)
|
jbe@0
|
2336
|
jbe@0
|
2337
|
jbe@0
|
2338 /*--------------------------------*
|
jbe@0
|
2339 * GiST index support functions *
|
jbe@0
|
2340 *--------------------------------*/
|
jbe@0
|
2341
|
jbe@0
|
2342 /* GiST "consistent" support function */
|
jbe@0
|
2343 PG_FUNCTION_INFO_V1(pgl_gist_consistent);
|
jbe@0
|
2344 Datum pgl_gist_consistent(PG_FUNCTION_ARGS) {
|
jbe@0
|
2345 GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
|
jbe@0
|
2346 pgl_keyptr key = (pgl_keyptr)DatumGetPointer(entry->key);
|
jbe@0
|
2347 StrategyNumber strategy = (StrategyNumber)PG_GETARG_UINT16(2);
|
jbe@0
|
2348 bool *recheck = (bool *)PG_GETARG_POINTER(4);
|
jbe@0
|
2349 /* demand recheck because index and query methods are lossy */
|
jbe@0
|
2350 *recheck = true;
|
jbe@10
|
2351 /* strategy number aliases for different operators using the same strategy */
|
jbe@10
|
2352 strategy %= 100;
|
jbe@0
|
2353 /* strategy number 11: equality of two points */
|
jbe@0
|
2354 if (strategy == 11) {
|
jbe@0
|
2355 /* query datum is another point */
|
jbe@0
|
2356 pgl_point *query = (pgl_point *)PG_GETARG_POINTER(1);
|
jbe@0
|
2357 /* convert other point to key */
|
jbe@0
|
2358 pgl_pointkey querykey;
|
jbe@0
|
2359 pgl_point_to_key(query, querykey);
|
jbe@0
|
2360 /* return true if both keys overlap */
|
jbe@0
|
2361 PG_RETURN_BOOL(pgl_keys_overlap(key, querykey));
|
jbe@0
|
2362 }
|
jbe@0
|
2363 /* strategy number 13: equality of two circles */
|
jbe@0
|
2364 if (strategy == 13) {
|
jbe@0
|
2365 /* query datum is another circle */
|
jbe@0
|
2366 pgl_circle *query = (pgl_circle *)PG_GETARG_POINTER(1);
|
jbe@0
|
2367 /* convert other circle to key */
|
jbe@0
|
2368 pgl_areakey querykey;
|
jbe@0
|
2369 pgl_circle_to_key(query, querykey);
|
jbe@0
|
2370 /* return true if both keys overlap */
|
jbe@0
|
2371 PG_RETURN_BOOL(pgl_keys_overlap(key, querykey));
|
jbe@0
|
2372 }
|
jbe@0
|
2373 /* for all remaining strategies, keys on empty objects produce no match */
|
jbe@0
|
2374 /* (check necessary because query radius may be infinite) */
|
jbe@0
|
2375 if (PGL_KEY_IS_EMPTY(key)) PG_RETURN_BOOL(false);
|
jbe@0
|
2376 /* strategy number 21: overlapping with point */
|
jbe@0
|
2377 if (strategy == 21) {
|
jbe@0
|
2378 /* query datum is a point */
|
jbe@0
|
2379 pgl_point *query = (pgl_point *)PG_GETARG_POINTER(1);
|
jbe@0
|
2380 /* return true if estimated distance (allowed to be smaller than real
|
jbe@0
|
2381 distance) between index key and point is zero */
|
jbe@0
|
2382 PG_RETURN_BOOL(pgl_estimate_key_distance(key, query) == 0);
|
jbe@0
|
2383 }
|
jbe@0
|
2384 /* strategy number 22: (point) overlapping with box */
|
jbe@0
|
2385 if (strategy == 22) {
|
jbe@0
|
2386 /* query datum is a box */
|
jbe@0
|
2387 pgl_box *query = (pgl_box *)PG_GETARG_POINTER(1);
|
jbe@0
|
2388 /* determine bounding box of indexed key */
|
jbe@0
|
2389 pgl_box keybox;
|
jbe@0
|
2390 pgl_key_to_box(key, &keybox);
|
jbe@0
|
2391 /* return true if query box overlaps with bounding box of indexed key */
|
jbe@0
|
2392 PG_RETURN_BOOL(pgl_boxes_overlap(query, &keybox));
|
jbe@0
|
2393 }
|
jbe@0
|
2394 /* strategy number 23: overlapping with circle */
|
jbe@0
|
2395 if (strategy == 23) {
|
jbe@0
|
2396 /* query datum is a circle */
|
jbe@0
|
2397 pgl_circle *query = (pgl_circle *)PG_GETARG_POINTER(1);
|
jbe@0
|
2398 /* return true if estimated distance (allowed to be smaller than real
|
jbe@0
|
2399 distance) between index key and circle center is smaller than radius */
|
jbe@0
|
2400 PG_RETURN_BOOL(
|
jbe@0
|
2401 pgl_estimate_key_distance(key, &(query->center)) <= query->radius
|
jbe@0
|
2402 );
|
jbe@0
|
2403 }
|
jbe@0
|
2404 /* strategy number 24: overlapping with cluster */
|
jbe@0
|
2405 if (strategy == 24) {
|
jbe@0
|
2406 bool retval; /* return value */
|
jbe@0
|
2407 /* query datum is a cluster */
|
jbe@0
|
2408 pgl_cluster *query = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@0
|
2409 /* return true if estimated distance (allowed to be smaller than real
|
jbe@0
|
2410 distance) between index key and circle center is smaller than radius */
|
jbe@0
|
2411 retval = (
|
jbe@0
|
2412 pgl_estimate_key_distance(key, &(query->bounding.center)) <=
|
jbe@0
|
2413 query->bounding.radius
|
jbe@0
|
2414 );
|
jbe@0
|
2415 PG_FREE_IF_COPY(query, 1); /* free detoasted cluster (if copy) */
|
jbe@0
|
2416 PG_RETURN_BOOL(retval);
|
jbe@0
|
2417 }
|
jbe@0
|
2418 /* throw error for any unknown strategy number */
|
jbe@0
|
2419 elog(ERROR, "unrecognized strategy number: %d", strategy);
|
jbe@0
|
2420 }
|
jbe@0
|
2421
|
jbe@0
|
2422 /* GiST "union" support function */
|
jbe@0
|
2423 PG_FUNCTION_INFO_V1(pgl_gist_union);
|
jbe@0
|
2424 Datum pgl_gist_union(PG_FUNCTION_ARGS) {
|
jbe@0
|
2425 GistEntryVector *entryvec = (GistEntryVector *)PG_GETARG_POINTER(0);
|
jbe@0
|
2426 pgl_keyptr out; /* return value (to be palloc'ed) */
|
jbe@0
|
2427 int i;
|
jbe@0
|
2428 /* determine key size */
|
jbe@0
|
2429 size_t keysize = PGL_KEY_IS_AREAKEY(
|
jbe@0
|
2430 (pgl_keyptr)DatumGetPointer(entryvec->vector[0].key)
|
jbe@0
|
2431 ) ? sizeof (pgl_areakey) : sizeof(pgl_pointkey);
|
jbe@0
|
2432 /* begin with first key as result */
|
jbe@0
|
2433 out = palloc(keysize);
|
jbe@0
|
2434 memcpy(out, (pgl_keyptr)DatumGetPointer(entryvec->vector[0].key), keysize);
|
jbe@0
|
2435 /* unite current result with second, third, etc. key */
|
jbe@0
|
2436 for (i=1; i<entryvec->n; i++) {
|
jbe@0
|
2437 pgl_unite_keys(out, (pgl_keyptr)DatumGetPointer(entryvec->vector[i].key));
|
jbe@0
|
2438 }
|
jbe@0
|
2439 /* return result */
|
jbe@0
|
2440 PG_RETURN_POINTER(out);
|
jbe@0
|
2441 }
|
jbe@0
|
2442
|
jbe@0
|
2443 /* GiST "compress" support function for indicis on points */
|
jbe@0
|
2444 PG_FUNCTION_INFO_V1(pgl_gist_compress_epoint);
|
jbe@0
|
2445 Datum pgl_gist_compress_epoint(PG_FUNCTION_ARGS) {
|
jbe@0
|
2446 GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
|
jbe@0
|
2447 GISTENTRY *retval; /* return value (to be palloc'ed unless set to entry) */
|
jbe@0
|
2448 /* only transform new leaves */
|
jbe@0
|
2449 if (entry->leafkey) {
|
jbe@0
|
2450 /* get point to be transformed */
|
jbe@0
|
2451 pgl_point *point = (pgl_point *)DatumGetPointer(entry->key);
|
jbe@0
|
2452 /* allocate memory for key */
|
jbe@0
|
2453 pgl_keyptr key = palloc(sizeof(pgl_pointkey));
|
jbe@0
|
2454 /* transform point to key */
|
jbe@0
|
2455 pgl_point_to_key(point, key);
|
jbe@0
|
2456 /* create new GISTENTRY structure as return value */
|
jbe@0
|
2457 retval = palloc(sizeof(GISTENTRY));
|
jbe@0
|
2458 gistentryinit(
|
jbe@0
|
2459 *retval, PointerGetDatum(key),
|
jbe@0
|
2460 entry->rel, entry->page, entry->offset, FALSE
|
jbe@0
|
2461 );
|
jbe@0
|
2462 } else {
|
jbe@0
|
2463 /* inner nodes have already been transformed */
|
jbe@0
|
2464 retval = entry;
|
jbe@0
|
2465 }
|
jbe@0
|
2466 /* return pointer to old or new GISTENTRY structure */
|
jbe@0
|
2467 PG_RETURN_POINTER(retval);
|
jbe@0
|
2468 }
|
jbe@0
|
2469
|
jbe@0
|
2470 /* GiST "compress" support function for indicis on circles */
|
jbe@0
|
2471 PG_FUNCTION_INFO_V1(pgl_gist_compress_ecircle);
|
jbe@0
|
2472 Datum pgl_gist_compress_ecircle(PG_FUNCTION_ARGS) {
|
jbe@0
|
2473 GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
|
jbe@0
|
2474 GISTENTRY *retval; /* return value (to be palloc'ed unless set to entry) */
|
jbe@0
|
2475 /* only transform new leaves */
|
jbe@0
|
2476 if (entry->leafkey) {
|
jbe@0
|
2477 /* get circle to be transformed */
|
jbe@0
|
2478 pgl_circle *circle = (pgl_circle *)DatumGetPointer(entry->key);
|
jbe@0
|
2479 /* allocate memory for key */
|
jbe@0
|
2480 pgl_keyptr key = palloc(sizeof(pgl_areakey));
|
jbe@0
|
2481 /* transform circle to key */
|
jbe@0
|
2482 pgl_circle_to_key(circle, key);
|
jbe@0
|
2483 /* create new GISTENTRY structure as return value */
|
jbe@0
|
2484 retval = palloc(sizeof(GISTENTRY));
|
jbe@0
|
2485 gistentryinit(
|
jbe@0
|
2486 *retval, PointerGetDatum(key),
|
jbe@0
|
2487 entry->rel, entry->page, entry->offset, FALSE
|
jbe@0
|
2488 );
|
jbe@0
|
2489 } else {
|
jbe@0
|
2490 /* inner nodes have already been transformed */
|
jbe@0
|
2491 retval = entry;
|
jbe@0
|
2492 }
|
jbe@0
|
2493 /* return pointer to old or new GISTENTRY structure */
|
jbe@0
|
2494 PG_RETURN_POINTER(retval);
|
jbe@0
|
2495 }
|
jbe@0
|
2496
|
jbe@0
|
2497 /* GiST "compress" support function for indices on clusters */
|
jbe@0
|
2498 PG_FUNCTION_INFO_V1(pgl_gist_compress_ecluster);
|
jbe@0
|
2499 Datum pgl_gist_compress_ecluster(PG_FUNCTION_ARGS) {
|
jbe@0
|
2500 GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
|
jbe@0
|
2501 GISTENTRY *retval; /* return value (to be palloc'ed unless set to entry) */
|
jbe@0
|
2502 /* only transform new leaves */
|
jbe@0
|
2503 if (entry->leafkey) {
|
jbe@0
|
2504 /* get cluster to be transformed (detoasting necessary!) */
|
jbe@0
|
2505 pgl_cluster *cluster = (pgl_cluster *)PG_DETOAST_DATUM(entry->key);
|
jbe@0
|
2506 /* allocate memory for key */
|
jbe@0
|
2507 pgl_keyptr key = palloc(sizeof(pgl_areakey));
|
jbe@0
|
2508 /* transform cluster to key */
|
jbe@0
|
2509 pgl_circle_to_key(&(cluster->bounding), key);
|
jbe@0
|
2510 /* create new GISTENTRY structure as return value */
|
jbe@0
|
2511 retval = palloc(sizeof(GISTENTRY));
|
jbe@0
|
2512 gistentryinit(
|
jbe@0
|
2513 *retval, PointerGetDatum(key),
|
jbe@0
|
2514 entry->rel, entry->page, entry->offset, FALSE
|
jbe@0
|
2515 );
|
jbe@0
|
2516 /* free detoasted datum */
|
jbe@0
|
2517 if ((void *)cluster != (void *)DatumGetPointer(entry->key)) pfree(cluster);
|
jbe@0
|
2518 } else {
|
jbe@0
|
2519 /* inner nodes have already been transformed */
|
jbe@0
|
2520 retval = entry;
|
jbe@0
|
2521 }
|
jbe@0
|
2522 /* return pointer to old or new GISTENTRY structure */
|
jbe@0
|
2523 PG_RETURN_POINTER(retval);
|
jbe@0
|
2524 }
|
jbe@0
|
2525
|
jbe@0
|
2526 /* GiST "decompress" support function for indices */
|
jbe@0
|
2527 PG_FUNCTION_INFO_V1(pgl_gist_decompress);
|
jbe@0
|
2528 Datum pgl_gist_decompress(PG_FUNCTION_ARGS) {
|
jbe@0
|
2529 /* return passed pointer without transformation */
|
jbe@0
|
2530 PG_RETURN_POINTER(PG_GETARG_POINTER(0));
|
jbe@0
|
2531 }
|
jbe@0
|
2532
|
jbe@0
|
2533 /* GiST "penalty" support function */
|
jbe@0
|
2534 PG_FUNCTION_INFO_V1(pgl_gist_penalty);
|
jbe@0
|
2535 Datum pgl_gist_penalty(PG_FUNCTION_ARGS) {
|
jbe@0
|
2536 GISTENTRY *origentry = (GISTENTRY *)PG_GETARG_POINTER(0);
|
jbe@0
|
2537 GISTENTRY *newentry = (GISTENTRY *)PG_GETARG_POINTER(1);
|
jbe@0
|
2538 float *penalty = (float *)PG_GETARG_POINTER(2);
|
jbe@0
|
2539 /* get original key and key to insert */
|
jbe@0
|
2540 pgl_keyptr orig = (pgl_keyptr)DatumGetPointer(origentry->key);
|
jbe@0
|
2541 pgl_keyptr new = (pgl_keyptr)DatumGetPointer(newentry->key);
|
jbe@0
|
2542 /* copy original key */
|
jbe@0
|
2543 union { pgl_pointkey pointkey; pgl_areakey areakey; } union_key;
|
jbe@0
|
2544 if (PGL_KEY_IS_AREAKEY(orig)) {
|
jbe@0
|
2545 memcpy(union_key.areakey, orig, sizeof(union_key.areakey));
|
jbe@0
|
2546 } else {
|
jbe@0
|
2547 memcpy(union_key.pointkey, orig, sizeof(union_key.pointkey));
|
jbe@0
|
2548 }
|
jbe@0
|
2549 /* calculate union of both keys */
|
jbe@0
|
2550 pgl_unite_keys((pgl_keyptr)&union_key, new);
|
jbe@0
|
2551 /* penalty equal to reduction of key length (logarithm of added area) */
|
jbe@0
|
2552 /* (return value by setting referenced value and returning pointer) */
|
jbe@0
|
2553 *penalty = (
|
jbe@0
|
2554 PGL_KEY_NODEDEPTH(orig) - PGL_KEY_NODEDEPTH((pgl_keyptr)&union_key)
|
jbe@0
|
2555 );
|
jbe@0
|
2556 PG_RETURN_POINTER(penalty);
|
jbe@0
|
2557 }
|
jbe@0
|
2558
|
jbe@0
|
2559 /* GiST "picksplit" support function */
|
jbe@0
|
2560 PG_FUNCTION_INFO_V1(pgl_gist_picksplit);
|
jbe@0
|
2561 Datum pgl_gist_picksplit(PG_FUNCTION_ARGS) {
|
jbe@0
|
2562 GistEntryVector *entryvec = (GistEntryVector *)PG_GETARG_POINTER(0);
|
jbe@0
|
2563 GIST_SPLITVEC *v = (GIST_SPLITVEC *)PG_GETARG_POINTER(1);
|
jbe@0
|
2564 OffsetNumber i; /* between FirstOffsetNumber and entryvec->n (inclusive) */
|
jbe@0
|
2565 union {
|
jbe@0
|
2566 pgl_pointkey pointkey;
|
jbe@0
|
2567 pgl_areakey areakey;
|
jbe@0
|
2568 } union_all; /* union of all keys (to be calculated from scratch)
|
jbe@0
|
2569 (later cut in half) */
|
jbe@0
|
2570 int is_areakey = PGL_KEY_IS_AREAKEY(
|
jbe@0
|
2571 (pgl_keyptr)DatumGetPointer(entryvec->vector[FirstOffsetNumber].key)
|
jbe@0
|
2572 );
|
jbe@0
|
2573 int keysize = is_areakey ? sizeof(pgl_areakey) : sizeof(pgl_pointkey);
|
jbe@0
|
2574 pgl_keyptr unionL = palloc(keysize); /* union of keys that go left */
|
jbe@0
|
2575 pgl_keyptr unionR = palloc(keysize); /* union of keys that go right */
|
jbe@0
|
2576 pgl_keyptr key; /* current key to be processed */
|
jbe@0
|
2577 /* allocate memory for array of left and right keys, set counts to zero */
|
jbe@0
|
2578 v->spl_left = (OffsetNumber *)palloc(entryvec->n * sizeof(OffsetNumber));
|
jbe@0
|
2579 v->spl_nleft = 0;
|
jbe@0
|
2580 v->spl_right = (OffsetNumber *)palloc(entryvec->n * sizeof(OffsetNumber));
|
jbe@0
|
2581 v->spl_nright = 0;
|
jbe@0
|
2582 /* calculate union of all keys from scratch */
|
jbe@0
|
2583 memcpy(
|
jbe@0
|
2584 (pgl_keyptr)&union_all,
|
jbe@0
|
2585 (pgl_keyptr)DatumGetPointer(entryvec->vector[FirstOffsetNumber].key),
|
jbe@0
|
2586 keysize
|
jbe@0
|
2587 );
|
jbe@0
|
2588 for (i=FirstOffsetNumber+1; i<entryvec->n; i=OffsetNumberNext(i)) {
|
jbe@0
|
2589 pgl_unite_keys(
|
jbe@0
|
2590 (pgl_keyptr)&union_all,
|
jbe@0
|
2591 (pgl_keyptr)DatumGetPointer(entryvec->vector[i].key)
|
jbe@0
|
2592 );
|
jbe@0
|
2593 }
|
jbe@0
|
2594 /* check if trivial split is necessary due to exhausted key length */
|
jbe@0
|
2595 /* (Note: keys for empty objects must have node depth set to maximum) */
|
jbe@0
|
2596 if (PGL_KEY_NODEDEPTH((pgl_keyptr)&union_all) == (
|
jbe@0
|
2597 is_areakey ? PGL_AREAKEY_MAXDEPTH : PGL_POINTKEY_MAXDEPTH
|
jbe@0
|
2598 )) {
|
jbe@0
|
2599 /* half of all keys go left */
|
jbe@0
|
2600 for (
|
jbe@0
|
2601 i=FirstOffsetNumber;
|
jbe@0
|
2602 i<FirstOffsetNumber+(entryvec->n - FirstOffsetNumber)/2;
|
jbe@0
|
2603 i=OffsetNumberNext(i)
|
jbe@0
|
2604 ) {
|
jbe@0
|
2605 /* pointer to current key */
|
jbe@0
|
2606 key = (pgl_keyptr)DatumGetPointer(entryvec->vector[i].key);
|
jbe@0
|
2607 /* update unionL */
|
jbe@0
|
2608 /* check if key is first key that goes left */
|
jbe@0
|
2609 if (!v->spl_nleft) {
|
jbe@0
|
2610 /* first key that goes left is just copied to unionL */
|
jbe@0
|
2611 memcpy(unionL, key, keysize);
|
jbe@0
|
2612 } else {
|
jbe@0
|
2613 /* unite current value and next key */
|
jbe@0
|
2614 pgl_unite_keys(unionL, key);
|
jbe@0
|
2615 }
|
jbe@0
|
2616 /* append offset number to list of keys that go left */
|
jbe@0
|
2617 v->spl_left[v->spl_nleft++] = i;
|
jbe@0
|
2618 }
|
jbe@0
|
2619 /* other half goes right */
|
jbe@0
|
2620 for (
|
jbe@0
|
2621 i=FirstOffsetNumber+(entryvec->n - FirstOffsetNumber)/2;
|
jbe@0
|
2622 i<entryvec->n;
|
jbe@0
|
2623 i=OffsetNumberNext(i)
|
jbe@0
|
2624 ) {
|
jbe@0
|
2625 /* pointer to current key */
|
jbe@0
|
2626 key = (pgl_keyptr)DatumGetPointer(entryvec->vector[i].key);
|
jbe@0
|
2627 /* update unionR */
|
jbe@0
|
2628 /* check if key is first key that goes right */
|
jbe@0
|
2629 if (!v->spl_nright) {
|
jbe@0
|
2630 /* first key that goes right is just copied to unionR */
|
jbe@0
|
2631 memcpy(unionR, key, keysize);
|
jbe@0
|
2632 } else {
|
jbe@0
|
2633 /* unite current value and next key */
|
jbe@0
|
2634 pgl_unite_keys(unionR, key);
|
jbe@0
|
2635 }
|
jbe@0
|
2636 /* append offset number to list of keys that go right */
|
jbe@0
|
2637 v->spl_right[v->spl_nright++] = i;
|
jbe@0
|
2638 }
|
jbe@0
|
2639 }
|
jbe@0
|
2640 /* otherwise, a non-trivial split is possible */
|
jbe@0
|
2641 else {
|
jbe@0
|
2642 /* cut covered area in half */
|
jbe@0
|
2643 /* (union_all then refers to area of keys that go left) */
|
jbe@0
|
2644 /* check if union of all keys covers empty and non-empty objects */
|
jbe@0
|
2645 if (PGL_KEY_IS_UNIVERSAL((pgl_keyptr)&union_all)) {
|
jbe@0
|
2646 /* if yes, split into empty and non-empty objects */
|
jbe@0
|
2647 pgl_key_set_empty((pgl_keyptr)&union_all);
|
jbe@0
|
2648 } else {
|
jbe@0
|
2649 /* otherwise split by next bit */
|
jbe@0
|
2650 ((pgl_keyptr)&union_all)[PGL_KEY_NODEDEPTH_OFFSET]++;
|
jbe@0
|
2651 /* NOTE: type bit conserved */
|
jbe@0
|
2652 }
|
jbe@0
|
2653 /* determine for each key if it goes left or right */
|
jbe@0
|
2654 for (i=FirstOffsetNumber; i<entryvec->n; i=OffsetNumberNext(i)) {
|
jbe@0
|
2655 /* pointer to current key */
|
jbe@0
|
2656 key = (pgl_keyptr)DatumGetPointer(entryvec->vector[i].key);
|
jbe@0
|
2657 /* keys within one half of the area go left */
|
jbe@0
|
2658 if (pgl_keys_overlap((pgl_keyptr)&union_all, key)) {
|
jbe@0
|
2659 /* update unionL */
|
jbe@0
|
2660 /* check if key is first key that goes left */
|
jbe@0
|
2661 if (!v->spl_nleft) {
|
jbe@0
|
2662 /* first key that goes left is just copied to unionL */
|
jbe@0
|
2663 memcpy(unionL, key, keysize);
|
jbe@0
|
2664 } else {
|
jbe@0
|
2665 /* unite current value of unionL and processed key */
|
jbe@0
|
2666 pgl_unite_keys(unionL, key);
|
jbe@0
|
2667 }
|
jbe@0
|
2668 /* append offset number to list of keys that go left */
|
jbe@0
|
2669 v->spl_left[v->spl_nleft++] = i;
|
jbe@0
|
2670 }
|
jbe@0
|
2671 /* the other keys go right */
|
jbe@0
|
2672 else {
|
jbe@0
|
2673 /* update unionR */
|
jbe@0
|
2674 /* check if key is first key that goes right */
|
jbe@0
|
2675 if (!v->spl_nright) {
|
jbe@0
|
2676 /* first key that goes right is just copied to unionR */
|
jbe@0
|
2677 memcpy(unionR, key, keysize);
|
jbe@0
|
2678 } else {
|
jbe@0
|
2679 /* unite current value of unionR and processed key */
|
jbe@0
|
2680 pgl_unite_keys(unionR, key);
|
jbe@0
|
2681 }
|
jbe@0
|
2682 /* append offset number to list of keys that go right */
|
jbe@0
|
2683 v->spl_right[v->spl_nright++] = i;
|
jbe@0
|
2684 }
|
jbe@0
|
2685 }
|
jbe@0
|
2686 }
|
jbe@0
|
2687 /* store unions in return value */
|
jbe@0
|
2688 v->spl_ldatum = PointerGetDatum(unionL);
|
jbe@0
|
2689 v->spl_rdatum = PointerGetDatum(unionR);
|
jbe@0
|
2690 /* return all results */
|
jbe@0
|
2691 PG_RETURN_POINTER(v);
|
jbe@0
|
2692 }
|
jbe@0
|
2693
|
jbe@0
|
2694 /* GiST "same"/"equal" support function */
|
jbe@0
|
2695 PG_FUNCTION_INFO_V1(pgl_gist_same);
|
jbe@0
|
2696 Datum pgl_gist_same(PG_FUNCTION_ARGS) {
|
jbe@0
|
2697 pgl_keyptr key1 = (pgl_keyptr)PG_GETARG_POINTER(0);
|
jbe@0
|
2698 pgl_keyptr key2 = (pgl_keyptr)PG_GETARG_POINTER(1);
|
jbe@0
|
2699 bool *boolptr = (bool *)PG_GETARG_POINTER(2);
|
jbe@0
|
2700 /* two keys are equal if they are binary equal */
|
jbe@0
|
2701 /* (return result by setting referenced boolean and returning pointer) */
|
jbe@0
|
2702 *boolptr = !memcmp(
|
jbe@0
|
2703 key1,
|
jbe@0
|
2704 key2,
|
jbe@0
|
2705 PGL_KEY_IS_AREAKEY(key1) ? sizeof(pgl_areakey) : sizeof(pgl_pointkey)
|
jbe@0
|
2706 );
|
jbe@0
|
2707 PG_RETURN_POINTER(boolptr);
|
jbe@0
|
2708 }
|
jbe@0
|
2709
|
jbe@0
|
2710 /* GiST "distance" support function */
|
jbe@0
|
2711 PG_FUNCTION_INFO_V1(pgl_gist_distance);
|
jbe@0
|
2712 Datum pgl_gist_distance(PG_FUNCTION_ARGS) {
|
jbe@0
|
2713 GISTENTRY *entry = (GISTENTRY *)PG_GETARG_POINTER(0);
|
jbe@0
|
2714 pgl_keyptr key = (pgl_keyptr)DatumGetPointer(entry->key);
|
jbe@0
|
2715 StrategyNumber strategy = (StrategyNumber)PG_GETARG_UINT16(2);
|
jbe@0
|
2716 bool *recheck = (bool *)PG_GETARG_POINTER(4);
|
jbe@0
|
2717 double distance; /* return value */
|
jbe@0
|
2718 /* demand recheck because distance is just an estimation */
|
jbe@0
|
2719 /* (real distance may be bigger) */
|
jbe@0
|
2720 *recheck = true;
|
jbe@10
|
2721 /* strategy number aliases for different operators using the same strategy */
|
jbe@10
|
2722 strategy %= 100;
|
jbe@0
|
2723 /* strategy number 31: distance to point */
|
jbe@0
|
2724 if (strategy == 31) {
|
jbe@0
|
2725 /* query datum is a point */
|
jbe@0
|
2726 pgl_point *query = (pgl_point *)PG_GETARG_POINTER(1);
|
jbe@0
|
2727 /* use pgl_estimate_pointkey_distance() function to compute result */
|
jbe@0
|
2728 distance = pgl_estimate_key_distance(key, query);
|
jbe@0
|
2729 /* avoid infinity (reserved!) */
|
jbe@0
|
2730 if (!isfinite(distance)) distance = PGL_ULTRA_DISTANCE;
|
jbe@0
|
2731 /* return result */
|
jbe@0
|
2732 PG_RETURN_FLOAT8(distance);
|
jbe@0
|
2733 }
|
jbe@0
|
2734 /* strategy number 33: distance to circle */
|
jbe@0
|
2735 if (strategy == 33) {
|
jbe@0
|
2736 /* query datum is a circle */
|
jbe@0
|
2737 pgl_circle *query = (pgl_circle *)PG_GETARG_POINTER(1);
|
jbe@0
|
2738 /* estimate distance to circle center and substract circle radius */
|
jbe@0
|
2739 distance = (
|
jbe@0
|
2740 pgl_estimate_key_distance(key, &(query->center)) - query->radius
|
jbe@0
|
2741 );
|
jbe@0
|
2742 /* convert non-positive values to zero and avoid infinity (reserved!) */
|
jbe@0
|
2743 if (distance <= 0) distance = 0;
|
jbe@0
|
2744 else if (!isfinite(distance)) distance = PGL_ULTRA_DISTANCE;
|
jbe@0
|
2745 /* return result */
|
jbe@0
|
2746 PG_RETURN_FLOAT8(distance);
|
jbe@0
|
2747 }
|
jbe@0
|
2748 /* strategy number 34: distance to cluster */
|
jbe@0
|
2749 if (strategy == 34) {
|
jbe@0
|
2750 /* query datum is a cluster */
|
jbe@0
|
2751 pgl_cluster *query = (pgl_cluster *)PG_DETOAST_DATUM(PG_GETARG_DATUM(1));
|
jbe@0
|
2752 /* estimate distance to bounding center and substract bounding radius */
|
jbe@0
|
2753 distance = (
|
jbe@0
|
2754 pgl_estimate_key_distance(key, &(query->bounding.center)) -
|
jbe@0
|
2755 query->bounding.radius
|
jbe@0
|
2756 );
|
jbe@0
|
2757 /* convert non-positive values to zero and avoid infinity (reserved!) */
|
jbe@0
|
2758 if (distance <= 0) distance = 0;
|
jbe@0
|
2759 else if (!isfinite(distance)) distance = PGL_ULTRA_DISTANCE;
|
jbe@0
|
2760 /* free detoasted cluster (if copy) */
|
jbe@0
|
2761 PG_FREE_IF_COPY(query, 1);
|
jbe@0
|
2762 /* return result */
|
jbe@0
|
2763 PG_RETURN_FLOAT8(distance);
|
jbe@0
|
2764 }
|
jbe@0
|
2765 /* throw error for any unknown strategy number */
|
jbe@0
|
2766 elog(ERROR, "unrecognized strategy number: %d", strategy);
|
jbe@0
|
2767 }
|
jbe@0
|
2768
|