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Functions
ExtensionFunctions.hpp File Reference
#include "../Shared/funcannotations.h"
#include <cstdint>
#include <cmath>
#include <cstdlib>
#include "OmniSciTypes.h"
#include "ExtensionFunctionsArray.hpp"
#include "ExtensionFunctionsGeo.hpp"
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Functions

EXTENSION_NOINLINE double Acos (const double x)
 
EXTENSION_NOINLINE double Asin (const double x)
 
EXTENSION_NOINLINE double Atan (const double x)
 
EXTENSION_NOINLINE double Atan2 (const double y, const double x)
 
EXTENSION_NOINLINE double Ceil (double x)
 
EXTENSION_NOINLINE float Ceil__ (float x)
 
EXTENSION_NOINLINE int16_t Ceil__1 (int16_t x)
 
EXTENSION_NOINLINE int32_t Ceil__2 (int32_t x)
 
EXTENSION_NOINLINE int64_t Ceil__3 (int64_t x)
 
EXTENSION_NOINLINE double Cos (const double x)
 
EXTENSION_NOINLINE double Cot (const double x)
 
EXTENSION_NOINLINE double degrees (double x)
 
EXTENSION_NOINLINE double Exp (double x)
 
EXTENSION_NOINLINE double Floor (double x)
 
EXTENSION_NOINLINE float Floor__ (float x)
 
EXTENSION_NOINLINE int16_t Floor__1 (int16_t x)
 
EXTENSION_NOINLINE int32_t Floor__2 (int32_t x)
 
EXTENSION_NOINLINE int64_t Floor__3 (int64_t x)
 
EXTENSION_NOINLINE double ln (const double x)
 
EXTENSION_NOINLINE double ln__ (const float x)
 
EXTENSION_NOINLINE double Log (const double x)
 
EXTENSION_NOINLINE double Log__ (const float x)
 
EXTENSION_NOINLINE double Log10 (const double x)
 
EXTENSION_NOINLINE double Log10__ (const float x)
 
EXTENSION_NOINLINE double pi ()
 
EXTENSION_NOINLINE double power (const double x, const double y)
 
EXTENSION_NOINLINE double radians (const double x)
 
EXTENSION_NOINLINE double Round (const double x, const int32_t y)
 
EXTENSION_NOINLINE float Round__ (const float x, const int32_t y)
 
EXTENSION_NOINLINE int16_t Round__1 (const int16_t x, const int32_t y)
 
EXTENSION_NOINLINE int32_t Round__2 (const int32_t x, const int32_t y)
 
EXTENSION_NOINLINE int64_t Round__3 (const int64_t x, const int32_t y)
 
EXTENSION_NOINLINE int64_t Round__4 (const int64_t x, const int32_t y0, const int32_t scale)
 
EXTENSION_NOINLINE double Round2_to_digit (const double x, const int32_t y)
 
EXTENSION_NOINLINE double round_to_digit (const double x, const int32_t y)
 
EXTENSION_NOINLINE double Sin (const double x)
 
EXTENSION_NOINLINE double Tan (const double x)
 
EXTENSION_NOINLINE double Tan__ (const float x)
 
EXTENSION_NOINLINE double Truncate (const double x, const int32_t y)
 
EXTENSION_NOINLINE float Truncate__ (const float x, const int32_t y)
 
EXTENSION_NOINLINE int16_t Truncate__1 (const int16_t x, const int32_t y)
 
EXTENSION_NOINLINE int32_t Truncate__2 (const int32_t x, const int32_t y)
 
EXTENSION_NOINLINE int64_t Truncate__3 (const int64_t x, const int32_t y)
 
EXTENSION_NOINLINE bool isNan (const double x)
 
EXTENSION_NOINLINE bool isNan__ (const float x)
 
EXTENSION_NOINLINE double conv_4326_900913_x (const double x)
 
EXTENSION_NOINLINE double conv_4326_900913_y (const double y)
 
EXTENSION_NOINLINE double distance_in_meters (const double fromlon, const double fromlat, const double tolon, const double tolat)
 Computes the distance, in meters, between two WGS-84 positions. More...
 
EXTENSION_NOINLINE double distance_in_meters__ (const float fromlon, const float fromlat, const float tolon, const float tolat)
 
EXTENSION_NOINLINE double approx_distance_in_meters (const float fromlon, const float fromlat, const float tolon, const float tolat)
 
EXTENSION_NOINLINE float rect_pixel_bin (const double val, const double min, const double max, const int32_t numbins, const int32_t dimensionsize)
 
EXTENSION_NOINLINE float rect_pixel_bin_x (const double valx, const double minx, const double maxx, const double rectwidth, const double offsetx, const int32_t imgwidth)
 
EXTENSION_NOINLINE float rect_pixel_bin_y (const double valy, const double miny, const double maxy, const double rectheight, const double offsety, const int32_t imgheight)
 
EXTENSION_NOINLINE int32_t rect_pixel_bin_packed (const double valx, const double minx, const double maxx, const double valy, const double miny, const double maxy, const double rectwidth, const double rectheight, const double offsetx, const double offsety, const int32_t imgwidth, const int32_t imgheight)
 
EXTENSION_NOINLINE float reg_hex_horiz_pixel_bin_x (const double valx, const double minx, const double maxx, const double valy, const double miny, const double maxy, const double hexwidth, const double hexheight, const double offsetx, const double offsety, const int32_t imgwidth, const int32_t imgheight)
 
EXTENSION_NOINLINE float reg_hex_horiz_pixel_bin_y (const double valx, const double minx, const double maxx, const double valy, const double miny, const double maxy, const double hexwidth, const double hexheight, const double offsetx, const double offsety, const int32_t imgwidth, const int32_t imgheight)
 
EXTENSION_NOINLINE int32_t reg_hex_horiz_pixel_bin_packed (const double valx, const double minx, const double maxx, const double valy, const double miny, const double maxy, const double hexwidth, const double hexheight, const double offsetx, const double offsety, const int32_t imgwidth, const int32_t imgheight)
 
EXTENSION_NOINLINE float reg_hex_vert_pixel_bin_x (const double valx, const double minx, const double maxx, const double valy, const double miny, const double maxy, const double hexwidth, const double hexheight, const double offsetx, const double offsety, const int32_t imgwidth, const int32_t imgheight)
 
EXTENSION_NOINLINE float reg_hex_vert_pixel_bin_y (const double valx, const double minx, const double maxx, const double valy, const double miny, const double maxy, const double hexwidth, const double hexheight, const double offsetx, const double offsety, const int32_t imgwidth, const int32_t imgheight)
 
EXTENSION_NOINLINE int32_t reg_hex_vert_pixel_bin_packed (const double valx, const double minx, const double maxx, const double valy, const double miny, const double maxy, const double hexwidth, const double hexheight, const double offsetx, const double offsety, const int32_t imgwidth, const int32_t imgheight)
 
EXTENSION_NOINLINE double convert_meters_to_merc_pixel_width (const double meters, const double lon, const double lat, const double min_lon, const double max_lon, const int32_t img_width, const double min_width)
 
EXTENSION_NOINLINE double convert_meters_to_merc_pixel_height (const double meters, const double lon, const double lat, const double min_lat, const double max_lat, const int32_t img_height, const double min_height)
 
EXTENSION_INLINE bool is_point_in_merc_view (const double lon, const double lat, const double min_lon, const double max_lon, const double min_lat, const double max_lat)
 
EXTENSION_NOINLINE bool is_point_size_in_merc_view (const double lon, const double lat, const double meters, const double min_lon, const double max_lon, const double min_lat, const double max_lat)
 

Function Documentation

EXTENSION_NOINLINE double Acos ( const double  x)

Definition at line 36 of file ExtensionFunctions.hpp.

36  {
37  return acos(x);
38 }
EXTENSION_NOINLINE double approx_distance_in_meters ( const float  fromlon,
const float  fromlat,
const float  tolon,
const float  tolat 
)

Definition at line 424 of file ExtensionFunctions.hpp.

References distance_in_meters__().

427  {
428 #ifdef __CUDACC__
429  float latitudeArc = (fromlat - tolat) * 0.017453292519943295769236907684886;
430  float longitudeArc = (fromlon - tolon) * 0.017453292519943295769236907684886;
431  float latitudeH = __sinf(latitudeArc * 0.5);
432  latitudeH *= latitudeH;
433  float lontitudeH = __sinf(longitudeArc * 0.5);
434  lontitudeH *= lontitudeH;
435  float tmp = __cosf(fromlat * 0.017453292519943295769236907684886) *
436  __cosf(tolat * 0.017453292519943295769236907684886);
437  return 6372797.560856 * (2.0 * asinf(__fsqrt_rd(latitudeH + tmp * lontitudeH)));
438 #else
439  return distance_in_meters__(fromlon, fromlat, tolon, tolat);
440 #endif
441 }
distance_in_meters__
EXTENSION_NOINLINE double distance_in_meters__(const float fromlon, const float fromlat, const float tolon, const float tolat)
Definition: ExtensionFunctions.hpp:408

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EXTENSION_NOINLINE double Asin ( const double  x)

Definition at line 41 of file ExtensionFunctions.hpp.

41  {
42  return asin(x);
43 }
EXTENSION_NOINLINE double Atan ( const double  x)

Definition at line 46 of file ExtensionFunctions.hpp.

46  {
47  return atan(x);
48 }
EXTENSION_NOINLINE double Atan2 ( const double  y,
const double  x 
)

Definition at line 51 of file ExtensionFunctions.hpp.

51  {
52  return atan2(y, x);
53 }
EXTENSION_NOINLINE double Ceil ( double  x)

Definition at line 56 of file ExtensionFunctions.hpp.

56  {
57  return ceil(x);
58 }
EXTENSION_NOINLINE float Ceil__ ( float  x)

Definition at line 61 of file ExtensionFunctions.hpp.

61  {
62  return ceil(x);
63 }
EXTENSION_NOINLINE int16_t Ceil__1 ( int16_t  x)

Definition at line 66 of file ExtensionFunctions.hpp.

66  {
67  return x;
68 }
EXTENSION_NOINLINE int32_t Ceil__2 ( int32_t  x)

Definition at line 71 of file ExtensionFunctions.hpp.

71  {
72  return x;
73 }
EXTENSION_NOINLINE int64_t Ceil__3 ( int64_t  x)

Definition at line 76 of file ExtensionFunctions.hpp.

76  {
77  return x;
78 }
EXTENSION_NOINLINE double conv_4326_900913_x ( const double  x)

Definition at line 361 of file ExtensionFunctions.hpp.

Referenced by convert_meters_to_merc_pixel_width(), and transform_coord().

361  {
362  return x * 111319.490778;
363 }

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EXTENSION_NOINLINE double conv_4326_900913_y ( const double  y)

Definition at line 366 of file ExtensionFunctions.hpp.

Referenced by convert_meters_to_merc_pixel_height(), and transform_coord().

366  {
367  return 6378136.99911 * log(tan(.00872664626 * y + .785398163397));
368 }

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EXTENSION_NOINLINE double convert_meters_to_merc_pixel_height ( const double  meters,
const double  lon,
const double  lat,
const double  min_lat,
const double  max_lat,
const int32_t  img_height,
const double  min_height 
)

Definition at line 1045 of file ExtensionFunctions.hpp.

References conv_4326_900913_y().

1051  {
1052  const double const1 = 0.017453292519943295769236907684886;
1053  const double const2 = 6372797.560856;
1054  const double latdiff = meters / (const1 * const2);
1055  const double newlat =
1056  (lat < 0) ? lat + latdiff : lat - latdiff; // assumes a lat range of [-90, 90]
1057  double t1 = conv_4326_900913_y(lat);
1058  double t2 = conv_4326_900913_y(newlat);
1059  const double min_merc_y = conv_4326_900913_y(min_lat);
1060  const double max_merc_y = conv_4326_900913_y(max_lat);
1061  const double merc_diff = max_merc_y - min_merc_y;
1062  t1 = ((t1 - min_merc_y) / merc_diff) * static_cast<double>(img_height);
1063  t2 = ((t2 - min_merc_y) / merc_diff) * static_cast<double>(img_height);
1064 
1065  // TODO(croot): need to account for edge cases, such as getting close to the poles.
1066  const double sz = fabs(t1 - t2);
1067  return (sz < min_height ? min_height : sz);
1068 }
conv_4326_900913_y
EXTENSION_NOINLINE double conv_4326_900913_y(const double y)
Definition: ExtensionFunctions.hpp:366

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EXTENSION_NOINLINE double convert_meters_to_merc_pixel_width ( const double  meters,
const double  lon,
const double  lat,
const double  min_lon,
const double  max_lon,
const int32_t  img_width,
const double  min_width 
)

Definition at line 1019 of file ExtensionFunctions.hpp.

References conv_4326_900913_x().

1025  {
1026  const double const1 = 0.017453292519943295769236907684886;
1027  const double const2 = 6372797.560856;
1028  double t1 = sinf(meters / (2.0 * const2));
1029  double t2 = cosf(const1 * lat);
1030  const double newlon = lon - (2.0 * asinf(t1 / t2)) / const1;
1031  t1 = conv_4326_900913_x(lon);
1032  t2 = conv_4326_900913_x(newlon);
1033  const double min_merc_x = conv_4326_900913_x(min_lon);
1034  const double max_merc_x = conv_4326_900913_x(max_lon);
1035  const double merc_diff = max_merc_x - min_merc_x;
1036  t1 = ((t1 - min_merc_x) / merc_diff) * static_cast<double>(img_width);
1037  t2 = ((t2 - min_merc_x) / merc_diff) * static_cast<double>(img_width);
1038 
1039  // TODO(croot): need to account for edge cases, such as getting close to the poles.
1040  const double sz = fabs(t1 - t2);
1041  return (sz < min_width ? min_width : sz);
1042 }
conv_4326_900913_x
EXTENSION_NOINLINE double conv_4326_900913_x(const double x)
Definition: ExtensionFunctions.hpp:361

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EXTENSION_NOINLINE double Cos ( const double  x)

Definition at line 81 of file ExtensionFunctions.hpp.

81  {
82  return cos(x);
83 }
EXTENSION_NOINLINE double Cot ( const double  x)

Definition at line 86 of file ExtensionFunctions.hpp.

86  {
87  return 1 / tan(x);
88 }
EXTENSION_NOINLINE double degrees ( double  x)

Definition at line 91 of file ExtensionFunctions.hpp.

91  {
92  return x * (180.0 / M_PI);
93 }
EXTENSION_NOINLINE double distance_in_meters ( const double  fromlon,
const double  fromlat,
const double  tolon,
const double  tolat 
)

Computes the distance, in meters, between two WGS-84 positions.

The result is equal to EARTH_RADIUS_IN_METERS*ArcInRadians(from,to)

ArcInRadians is equal to Distance(from,to)/EARTH_RADIUS_IN_METERS = 2*asin(sqrt(h(d/EARTH_RADIUS_IN_METERS )))

where:

  • d is the distance in meters between 'from' and 'to' positions.
  • h is the haversine function: h(x)=sin²(x/2)

code attribution: http://blog.julien.cayzac.name/2008/10/arc-and-distance-between-two-points-on.html

The haversine formula gives: h(d/R) = h(from.lat-to.lat)+h(from.lon-to.lon)+cos(from.lat)*cos(to.lat)

See Also
http://en.wikipedia.org/wiki/Law_of_haversines

Definition at line 392 of file ExtensionFunctions.hpp.

Referenced by length_linestring(), ST_Distance_LineString_LineString_Geodesic(), ST_Distance_Point_LineString_Geodesic(), and ST_Distance_Point_Point_Geodesic().

395  {
396  double latitudeArc = (fromlat - tolat) * 0.017453292519943295769236907684886;
397  double longitudeArc = (fromlon - tolon) * 0.017453292519943295769236907684886;
398  double latitudeH = sin(latitudeArc * 0.5);
399  latitudeH *= latitudeH;
400  double lontitudeH = sin(longitudeArc * 0.5);
401  lontitudeH *= lontitudeH;
402  double tmp = cos(fromlat * 0.017453292519943295769236907684886) *
403  cos(tolat * 0.017453292519943295769236907684886);
404  return 6372797.560856 * (2.0 * asin(sqrt(latitudeH + tmp * lontitudeH)));
405 }

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EXTENSION_NOINLINE double distance_in_meters__ ( const float  fromlon,
const float  fromlat,
const float  tolon,
const float  tolat 
)

Definition at line 408 of file ExtensionFunctions.hpp.

Referenced by approx_distance_in_meters().

411  {
412  float latitudeArc = (fromlat - tolat) * 0.017453292519943295769236907684886;
413  float longitudeArc = (fromlon - tolon) * 0.017453292519943295769236907684886;
414  float latitudeH = sinf(latitudeArc * 0.5);
415  latitudeH *= latitudeH;
416  float lontitudeH = sinf(longitudeArc * 0.5);
417  lontitudeH *= lontitudeH;
418  float tmp = cosf(fromlat * 0.017453292519943295769236907684886) *
419  cosf(tolat * 0.017453292519943295769236907684886);
420  return 6372797.560856 * (2.0 * asinf(sqrtf(latitudeH + tmp * lontitudeH)));
421 }

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EXTENSION_NOINLINE double Exp ( double  x)

Definition at line 96 of file ExtensionFunctions.hpp.

96  {
97  return exp(x);
98 }
EXTENSION_NOINLINE double Floor ( double  x)

Definition at line 101 of file ExtensionFunctions.hpp.

101  {
102  return floor(x);
103 }
EXTENSION_NOINLINE float Floor__ ( float  x)

Definition at line 106 of file ExtensionFunctions.hpp.

106  {
107  return floor(x);
108 }
EXTENSION_NOINLINE int16_t Floor__1 ( int16_t  x)

Definition at line 111 of file ExtensionFunctions.hpp.

111  {
112  return x;
113 }
EXTENSION_NOINLINE int32_t Floor__2 ( int32_t  x)

Definition at line 116 of file ExtensionFunctions.hpp.

116  {
117  return x;
118 }
EXTENSION_NOINLINE int64_t Floor__3 ( int64_t  x)

Definition at line 121 of file ExtensionFunctions.hpp.

121  {
122  return x;
123 }
EXTENSION_INLINE bool is_point_in_merc_view ( const double  lon,
const double  lat,
const double  min_lon,
const double  max_lon,
const double  min_lat,
const double  max_lat 
)

Definition at line 1070 of file ExtensionFunctions.hpp.

1075  {
1076  return !(lon < min_lon || lon > max_lon || lat < min_lat || lat > max_lat);
1077 }
EXTENSION_NOINLINE bool is_point_size_in_merc_view ( const double  lon,
const double  lat,
const double  meters,
const double  min_lon,
const double  max_lon,
const double  min_lat,
const double  max_lat 
)

Definition at line 1079 of file ExtensionFunctions.hpp.

1085  {
1086  const double const1 = 0.017453292519943295769236907684886;
1087  const double const2 = 6372797.560856;
1088  const double latdiff = meters / (const1 * const2);
1089  const double t1 = sinf(meters / (2.0 * const2));
1090  const double t2 = cosf(const1 * lat);
1091  const double londiff = (2.0 * asinf(t1 / t2)) / const1;
1092  return !(lon + londiff < min_lon || lon - londiff > max_lon ||
1093  lat + latdiff < min_lat || lat - latdiff > max_lat);
1094 }
EXTENSION_NOINLINE bool isNan ( const double  x)

Definition at line 351 of file ExtensionFunctions.hpp.

351  {
352  return std::isnan(x);
353 }
EXTENSION_NOINLINE bool isNan__ ( const float  x)

Definition at line 356 of file ExtensionFunctions.hpp.

356  {
357  return std::isnan(x);
358 }
EXTENSION_NOINLINE double ln ( const double  x)

Definition at line 126 of file ExtensionFunctions.hpp.

126  {
127  return log(x);
128 }
EXTENSION_NOINLINE double ln__ ( const float  x)

Definition at line 131 of file ExtensionFunctions.hpp.

131  {
132  return logf(x);
133 }
EXTENSION_NOINLINE double Log ( const double  x)

Definition at line 136 of file ExtensionFunctions.hpp.

136  {
137  return log(x);
138 }
EXTENSION_NOINLINE double Log10 ( const double  x)

Definition at line 146 of file ExtensionFunctions.hpp.

146  {
147  return log10(x);
148 }
EXTENSION_NOINLINE double Log10__ ( const float  x)

Definition at line 151 of file ExtensionFunctions.hpp.

151  {
152  return log10f(x);
153 }
EXTENSION_NOINLINE double Log__ ( const float  x)

Definition at line 141 of file ExtensionFunctions.hpp.

141  {
142  return logf(x);
143 }
EXTENSION_NOINLINE double pi ( )

Definition at line 156 of file ExtensionFunctions.hpp.

Referenced by geotransform_4326_to_900913().

156  {
157  return M_PI;
158 }

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EXTENSION_NOINLINE double power ( const double  x,
const double  y 
)

Definition at line 161 of file ExtensionFunctions.hpp.

161  {
162  return pow(x, y);
163 }
EXTENSION_NOINLINE double radians ( const double  x)

Definition at line 166 of file ExtensionFunctions.hpp.

166  {
167  return x * (M_PI / 180.0);
168 }
EXTENSION_NOINLINE float rect_pixel_bin ( const double  val,
const double  min,
const double  max,
const int32_t  numbins,
const int32_t  dimensionsize 
)

deprecated

Definition at line 444 of file ExtensionFunctions.hpp.

448  {
450  float numbinsf = float(numbins);
451  return float(int32_t(float((val - min) / (max - min)) * numbinsf)) *
452  float(dimensionsize) / numbinsf;
453 }
EXTENSION_NOINLINE int32_t rect_pixel_bin_packed ( const double  valx,
const double  minx,
const double  maxx,
const double  valy,
const double  miny,
const double  maxy,
const double  rectwidth,
const double  rectheight,
const double  offsetx,
const double  offsety,
const int32_t  imgwidth,
const int32_t  imgheight 
)

Definition at line 504 of file ExtensionFunctions.hpp.

515  {
516  const float imgwidthf = float(imgwidth);
517  const float rectwidthf = float(rectwidth);
518  double min = minx;
519  float offset = offsetx;
520  if (offset != 0) {
521  offset = fmodf(offset, rectwidthf);
522  if (offset > 0) {
523  offset -= rectwidthf;
524  }
525  min += offset * (maxx - minx) / imgwidthf;
526  }
527  float rx = float(int32_t(float((valx - min) / (maxx - min)) * (imgwidthf - offset) /
528  rectwidthf)) *
529  rectwidthf +
530  offset + rectwidthf / 2.0f;
531 
532  const float imgheightf = float(imgheight);
533  const float rectheightf = rectheight;
534  min = miny;
535  offset = offsety;
536  if (offset != 0) {
537  offset = fmodf(offset, rectheightf);
538  if (offset > 0) {
539  offset -= rectheightf;
540  }
541  min += offset * (maxy - miny) / imgheightf;
542  }
543  float ry = float(int32_t(float((valy - min) / (maxy - min)) * (imgheightf - offset) /
544  rectheightf)) *
545  rectheightf +
546  offset + rectheightf / 2.0f;
547 
548  // and pack as two 14.2 fixed-point values into 32bits
549  int32_t ux = static_cast<int32_t>(rx * 4.0f);
550  int32_t uy = static_cast<int32_t>(ry * 4.0f);
551  return (ux & 0x7FFF) | ((uy & 0x7FFF) << 16);
552 }
EXTENSION_NOINLINE float rect_pixel_bin_x ( const double  valx,
const double  minx,
const double  maxx,
const double  rectwidth,
const double  offsetx,
const int32_t  imgwidth 
)

Definition at line 456 of file ExtensionFunctions.hpp.

461  {
462  const float imgwidthf = float(imgwidth);
463  const float rectwidthf = float(rectwidth);
464  double min = minx;
465  float offset = offsetx;
466  if (offset != 0) {
467  offset = fmodf(offset, rectwidthf);
468  if (offset > 0) {
469  offset -= rectwidthf;
470  }
471  min += offset * (maxx - minx) / imgwidthf;
472  }
473  return float(int32_t(float((valx - min) / (maxx - min)) * (imgwidthf - offset) /
474  rectwidthf)) *
475  rectwidthf +
476  offset + rectwidthf / 2.0f;
477 }
EXTENSION_NOINLINE float rect_pixel_bin_y ( const double  valy,
const double  miny,
const double  maxy,
const double  rectheight,
const double  offsety,
const int32_t  imgheight 
)

Definition at line 480 of file ExtensionFunctions.hpp.

485  {
486  const float imgheightf = float(imgheight);
487  const float rectheightf = rectheight;
488  double min = miny;
489  float offset = offsety;
490  if (offset != 0) {
491  offset = fmodf(offset, rectheightf);
492  if (offset > 0) {
493  offset -= rectheightf;
494  }
495  min += offset * (maxy - miny) / imgheightf;
496  }
497  return float(int32_t(float((valy - min) / (maxy - min)) * (imgheightf - offset) /
498  rectheightf)) *
499  rectheightf +
500  offset + rectheightf / 2.0f;
501 }
EXTENSION_NOINLINE int32_t reg_hex_horiz_pixel_bin_packed ( const double  valx,
const double  minx,
const double  maxx,
const double  valy,
const double  miny,
const double  maxy,
const double  hexwidth,
const double  hexheight,
const double  offsetx,
const double  offsety,
const int32_t  imgwidth,
const int32_t  imgheight 
)

Definition at line 707 of file ExtensionFunctions.hpp.

718  {
719  const float sqrt3 = 1.7320508075688772;
720  const float imgwidthf = float(imgwidth);
721  const float imgheightf = float(imgheight);
722  const float hexwidthf = float(hexwidth);
723  const float hexheightf = float(hexheight);
724 
725  // expand the bounds of the data according
726  // to the input offsets. This is done because
727  // we also expand the image size according to the
728  // offsets because this algorithm layers the hexagon
729  // bins starting at the bottom left corner
730  double xmin = minx;
731  float xoffset = offsetx;
732  if (xoffset != 0) {
733  xoffset = fmodf(xoffset, hexwidthf);
734  if (xoffset > 0) {
735  xoffset -= hexwidthf;
736  }
737  xmin += xoffset * (maxx - xmin) / imgwidthf;
738  }
739 
740  double ymin = miny;
741  float yoffset = offsety;
742  if (yoffset != 0) {
743  yoffset = fmodf(yoffset, 1.5f * hexheightf);
744  if (yoffset > 0) {
745  yoffset -= 1.5f * hexheightf;
746  }
747  ymin += yoffset * (maxy - ymin) / imgheightf;
748  }
749 
750  // get the pixel position of the point
751  // assumes a linear scale here
752  // Rounds to the nearest pixel.
753  const float pix_x =
754  roundf((imgwidthf - xoffset) * float((valx - xmin) / (maxx - xmin)));
755  const float pix_y =
756  roundf((imgheightf - yoffset) * float((valy - ymin) / (maxy - ymin)));
757 
758  // Now convert the pixel position into a
759  // cube-coordinate system representation
760  const float hexsize = hexheightf / 2.0f;
761  const float cube_x = ((pix_x / sqrt3) - (pix_y / 3.0f)) / hexsize;
762  const float cube_z = (pix_y * 2.0f / 3.0f) / hexsize;
763  const float cube_y = -cube_x - cube_z;
764 
765  // need to round the cube coordinates above
766  float rx = round(cube_x);
767  float ry = round(cube_y);
768  float rz = round(cube_z);
769  const float x_diff = fabs(rx - cube_x);
770  const float y_diff = fabs(ry - cube_y);
771  const float z_diff = fabs(rz - cube_z);
772  if (x_diff > y_diff && x_diff > z_diff) {
773  rx = -ry - rz;
774  } else if (y_diff <= z_diff) {
775  rz = -rx - ry;
776  }
777 
778  // now convert the cube/hex coord to pixel locations
779  float hx = hexsize * sqrt3 * (rx + rz / 2.0f) + xoffset;
780  float hy = hexsize * 3.0f / 2.0f * rz + yoffset;
781 
782  // and pack as two 14.2 fixed-point values into 32bits
783  int32_t ux = static_cast<int32_t>(hx * 4.0f);
784  int32_t uy = static_cast<int32_t>(hy * 4.0f);
785  return (ux & 0x7FFF) | ((uy & 0x7FFF) << 16);
786 }
EXTENSION_NOINLINE float reg_hex_horiz_pixel_bin_x ( const double  valx,
const double  minx,
const double  maxx,
const double  valy,
const double  miny,
const double  maxy,
const double  hexwidth,
const double  hexheight,
const double  offsetx,
const double  offsety,
const int32_t  imgwidth,
const int32_t  imgheight 
)

Definition at line 555 of file ExtensionFunctions.hpp.

566  {
567  const float sqrt3 = 1.7320508075688772;
568  const float imgwidthf = float(imgwidth);
569  const float imgheightf = float(imgheight);
570  const float hexwidthf = float(hexwidth);
571  const float hexheightf = float(hexheight);
572 
573  // expand the bounds of the data according
574  // to the input offsets. This is done because
575  // we also expand the image size according to the
576  // offsets because this algorithm layers the hexagon
577  // bins starting at the bottom left corner
578  double xmin = minx;
579  float xoffset = offsetx;
580  if (xoffset != 0) {
581  xoffset = fmodf(xoffset, hexwidthf);
582  if (xoffset > 0) {
583  xoffset -= hexwidthf;
584  }
585  xmin += xoffset * (maxx - xmin) / imgwidthf;
586  }
587 
588  double ymin = miny;
589  float yoffset = offsety;
590  if (yoffset != 0) {
591  yoffset = fmodf(yoffset, 1.5f * hexheightf);
592  if (yoffset > 0) {
593  yoffset -= 1.5f * hexheightf;
594  }
595  ymin += yoffset * (maxy - ymin) / imgheightf;
596  }
597 
598  // get the pixel position of the point
599  // assumes a linear scale here
600  // Rounds to the nearest pixel.
601  const float pix_x =
602  roundf((imgwidthf - xoffset) * float((valx - xmin) / (maxx - xmin)));
603  const float pix_y =
604  roundf((imgheightf - yoffset) * float((valy - ymin) / (maxy - ymin)));
605 
606  // Now convert the pixel position into a
607  // cube-coordinate system representation
608  const float hexsize = hexheightf / 2.0f;
609  const float cube_x = ((pix_x / sqrt3) - (pix_y / 3.0f)) / hexsize;
610  const float cube_z = (pix_y * 2.0f / 3.0f) / hexsize;
611  const float cube_y = -cube_x - cube_z;
612 
613  // need to round the cube coordinates above
614  float rx = round(cube_x);
615  float ry = round(cube_y);
616  float rz = round(cube_z);
617  const float x_diff = fabs(rx - cube_x);
618  const float y_diff = fabs(ry - cube_y);
619  const float z_diff = fabs(rz - cube_z);
620  if (x_diff > y_diff && x_diff > z_diff) {
621  rx = -ry - rz;
622  } else if (y_diff > z_diff) {
623  ry = -rx - rz;
624  } else {
625  rz = -rx - ry;
626  }
627 
628  // now convert the cube/hex coord to a pixel location
629  return hexsize * sqrt3 * (rx + rz / 2.0f) + xoffset;
630 }
EXTENSION_NOINLINE float reg_hex_horiz_pixel_bin_y ( const double  valx,
const double  minx,
const double  maxx,
const double  valy,
const double  miny,
const double  maxy,
const double  hexwidth,
const double  hexheight,
const double  offsetx,
const double  offsety,
const int32_t  imgwidth,
const int32_t  imgheight 
)

Definition at line 633 of file ExtensionFunctions.hpp.

644  {
645  const float sqrt3 = 1.7320508075688772;
646  const float imgwidthf = float(imgwidth);
647  const float imgheightf = float(imgheight);
648  const float hexwidthf = float(hexwidth);
649  const float hexheightf = float(hexheight);
650 
651  // expand the bounds of the data according
652  // to the input offsets. This is done because
653  // we also expand the image size according to the
654  // offsets because this algorithm layers the hexagon
655  // bins starting at the bottom left corner
656  double xmin = minx;
657  float xoffset = offsetx;
658  if (xoffset != 0) {
659  xoffset = fmodf(xoffset, hexwidthf);
660  if (xoffset > 0) {
661  xoffset -= hexwidthf;
662  }
663  xmin += xoffset * (maxx - xmin) / imgwidthf;
664  }
665 
666  double ymin = miny;
667  float yoffset = offsety;
668  if (yoffset != 0) {
669  yoffset = fmodf(yoffset, 1.5f * hexheightf);
670  if (yoffset > 0) {
671  yoffset -= 1.5f * hexheightf;
672  }
673  ymin += yoffset * (maxy - ymin) / imgheightf;
674  }
675 
676  // get the pixel position of the point
677  // assumes a linear scale here
678  // Rounds to the nearest pixel.
679  const float pix_x =
680  roundf((imgwidthf - xoffset) * float((valx - xmin) / (maxx - xmin)));
681  const float pix_y =
682  roundf((imgheightf - yoffset) * float((valy - ymin) / (maxy - ymin)));
683 
684  // Now convert the pixel position into a
685  // cube-coordinate system representation
686  const float hexsize = hexheightf / 2.0f;
687  const float cube_x = ((pix_x / sqrt3) - (pix_y / 3.0f)) / hexsize;
688  const float cube_z = (pix_y * 2.0f / 3.0f) / hexsize;
689  const float cube_y = -cube_x - cube_z;
690 
691  // need to round the cube coordinates above
692  float rx = round(cube_x);
693  float ry = round(cube_y);
694  float rz = round(cube_z);
695  const float x_diff = fabs(rx - cube_x);
696  const float y_diff = fabs(ry - cube_y);
697  const float z_diff = fabs(rz - cube_z);
698  if ((x_diff <= y_diff || x_diff <= z_diff) && y_diff <= z_diff) {
699  rz = -rx - ry;
700  }
701 
702  // now convert the cube/hex coord to a pixel location
703  return hexsize * 3.0f / 2.0f * rz + yoffset;
704 }
EXTENSION_NOINLINE int32_t reg_hex_vert_pixel_bin_packed ( const double  valx,
const double  minx,
const double  maxx,
const double  valy,
const double  miny,
const double  maxy,
const double  hexwidth,
const double  hexheight,
const double  offsetx,
const double  offsety,
const int32_t  imgwidth,
const int32_t  imgheight 
)

Definition at line 939 of file ExtensionFunctions.hpp.

950  {
951  const float sqrt3 = 1.7320508075688772;
952  const float imgwidthf = float(imgwidth);
953  const float imgheightf = float(imgheight);
954  const float hexwidthf = float(hexwidth);
955  const float hexheightf = float(hexheight);
956 
957  // expand the bounds of the data according
958  // to the input offsets. This is done because
959  // we also expand the image size according to the
960  // offsets because this algorithm layers the hexagon
961  // bins starting at the bottom left corner
962  double xmin = minx;
963  float xoffset = offsetx;
964  if (xoffset != 0) {
965  xoffset = fmodf(xoffset, 1.5f * hexwidthf);
966  if (xoffset > 0) {
967  xoffset -= 1.5f * hexwidthf;
968  }
969  xmin += xoffset * (maxx - xmin) / imgwidthf;
970  }
971 
972  double ymin = miny;
973  float yoffset = offsety;
974  if (yoffset != 0) {
975  yoffset = fmodf(yoffset, hexheightf);
976  if (yoffset > 0) {
977  yoffset -= hexheightf;
978  }
979  ymin += yoffset * (maxy - ymin) / imgheightf;
980  }
981 
982  // get the pixel position of the point
983  // assumes a linear scale here
984  // Rounds to the nearest pixel.
985  const float pix_x = roundf((imgwidthf - xoffset) * float(valx - xmin) / (maxx - xmin));
986  const float pix_y = roundf((imgheightf - yoffset) * float(valy - ymin) / (maxy - ymin));
987 
988  // Now convert the pixel position into a
989  // cube-coordinate system representation
990  const float hexsize = hexwidthf / 2.0f;
991  const float cube_x = (pix_x * 2.0f / 3.0f) / hexsize;
992  const float cube_z = ((pix_y / sqrt3) - (pix_x / 3.0f)) / hexsize;
993  const float cube_y = -cube_x - cube_z;
994 
995  // need to round the cube coordinates above
996  float rx = round(cube_x);
997  float ry = round(cube_y);
998  float rz = round(cube_z);
999  const float x_diff = fabs(rx - cube_x);
1000  const float y_diff = fabs(ry - cube_y);
1001  const float z_diff = fabs(rz - cube_z);
1002  if (x_diff > y_diff && x_diff > z_diff) {
1003  rx = -ry - rz;
1004  } else if (y_diff <= z_diff) {
1005  rz = -rx - ry;
1006  }
1007 
1008  // now convert the cube/hex coord to a pixel location
1009  float hx = hexsize * 3.0f / 2.0f * rx + xoffset;
1010  float hy = hexsize * sqrt3 * (rz + rx / 2.0f) + yoffset;
1011 
1012  // and pack as two 14.2 fixed-point values into 32bits
1013  int32_t ux = static_cast<int32_t>(hx * 4.0f);
1014  int32_t uy = static_cast<int32_t>(hy * 4.0f);
1015  return (ux & 0x7FFF) | ((uy & 0x7FFF) << 16);
1016 }
EXTENSION_NOINLINE float reg_hex_vert_pixel_bin_x ( const double  valx,
const double  minx,
const double  maxx,
const double  valy,
const double  miny,
const double  maxy,
const double  hexwidth,
const double  hexheight,
const double  offsetx,
const double  offsety,
const int32_t  imgwidth,
const int32_t  imgheight 
)

Definition at line 789 of file ExtensionFunctions.hpp.

800  {
801  const float sqrt3 = 1.7320508075688772;
802  const float imgwidthf = float(imgwidth);
803  const float imgheightf = float(imgheight);
804  const float hexwidthf = float(hexwidth);
805  const float hexheightf = float(hexheight);
806 
807  // expand the bounds of the data according
808  // to the input offsets. This is done because
809  // we also expand the image size according to the
810  // offsets because this algorithm layers the hexagon
811  // bins starting at the bottom left corner
812  double xmin = minx;
813  float xoffset = offsetx;
814  if (xoffset != 0) {
815  xoffset = fmodf(xoffset, 1.5f * hexwidthf);
816  if (xoffset > 0) {
817  xoffset -= 1.5f * hexwidthf;
818  }
819  xmin += xoffset * (maxx - xmin) / imgwidthf;
820  }
821 
822  double ymin = miny;
823  float yoffset = offsety;
824  if (yoffset != 0) {
825  yoffset = fmodf(yoffset, hexheightf);
826  if (yoffset > 0) {
827  yoffset -= hexheightf;
828  }
829  ymin += yoffset * (maxy - ymin) / imgheightf;
830  }
831 
832  // get the pixel position of the point
833  // assumes a linear scale here
834  // Rounds to the nearest pixel.
835  const float pix_x =
836  roundf((imgwidthf - xoffset) * float((valx - xmin) / (maxx - xmin)));
837  const float pix_y =
838  roundf((imgheightf - yoffset) * float((valy - ymin) / (maxy - ymin)));
839 
840  // Now convert the pixel position into a
841  // cube-coordinate system representation
842  const float hexsize = hexwidthf / 2.0f;
843  const float cube_x = (pix_x * 2.0f / 3.0f) / hexsize;
844  const float cube_z = ((pix_y / sqrt3) - (pix_x / 3.0f)) / hexsize;
845  const float cube_y = -cube_x - cube_z;
846 
847  // need to round the cube coordinates above
848  float rx = round(cube_x);
849  float ry = round(cube_y);
850  float rz = round(cube_z);
851  const float x_diff = fabs(rx - cube_x);
852  const float y_diff = fabs(ry - cube_y);
853  const float z_diff = fabs(rz - cube_z);
854  if (x_diff > y_diff && x_diff > z_diff) {
855  rx = -ry - rz;
856  }
857 
858  // now convert the cube/hex coord to a pixel location
859  return hexsize * 3.0f / 2.0f * rx + xoffset;
860 }
EXTENSION_NOINLINE float reg_hex_vert_pixel_bin_y ( const double  valx,
const double  minx,
const double  maxx,
const double  valy,
const double  miny,
const double  maxy,
const double  hexwidth,
const double  hexheight,
const double  offsetx,
const double  offsety,
const int32_t  imgwidth,
const int32_t  imgheight 
)

Definition at line 863 of file ExtensionFunctions.hpp.

874  {
875  const float sqrt3 = 1.7320508075688772;
876  const float imgwidthf = float(imgwidth);
877  const float imgheightf = float(imgheight);
878  const float hexwidthf = float(hexwidth);
879  const float hexheightf = float(hexheight);
880 
881  // expand the bounds of the data according
882  // to the input offsets. This is done because
883  // we also expand the image size according to the
884  // offsets because this algorithm layers the hexagon
885  // bins starting at the bottom left corner
886  float xmin = minx;
887  float xoffset = offsetx;
888  if (xoffset != 0) {
889  xoffset = fmodf(xoffset, 1.5f * hexwidthf);
890  if (xoffset > 0) {
891  xoffset -= 1.5f * hexwidthf;
892  }
893  xmin += xoffset * (maxx - xmin) / imgwidthf;
894  }
895 
896  float ymin = miny;
897  float yoffset = offsety;
898  if (yoffset != 0) {
899  yoffset = fmodf(yoffset, hexheightf);
900  if (yoffset > 0) {
901  yoffset -= hexheightf;
902  }
903  ymin += yoffset * (maxy - ymin) / imgheightf;
904  }
905 
906  // get the pixel position of the point
907  // assumes a linear scale here
908  // Rounds to the nearest pixel.
909  const float pix_x = roundf((imgwidthf - xoffset) * (valx - xmin) / (maxx - xmin));
910  const float pix_y = roundf((imgheightf - yoffset) * (valy - ymin) / (maxy - ymin));
911 
912  // Now convert the pixel position into a
913  // cube-coordinate system representation
914  const float hexsize = hexwidthf / 2.0f;
915  const float cube_x = (pix_x * 2.0f / 3.0f) / hexsize;
916  const float cube_z = ((pix_y / sqrt3) - (pix_x / 3.0f)) / hexsize;
917  const float cube_y = -cube_x - cube_z;
918 
919  // need to round the cube coordinates above
920  float rx = round(cube_x);
921  float ry = round(cube_y);
922  float rz = round(cube_z);
923  const float x_diff = fabs(rx - cube_x);
924  const float y_diff = fabs(ry - cube_y);
925  const float z_diff = fabs(rz - cube_z);
926  if (x_diff > y_diff && x_diff > z_diff) {
927  rx = -ry - rz;
928  } else if (y_diff > z_diff) {
929  ry = -rx - rz;
930  } else {
931  rz = -rx - ry;
932  }
933 
934  // now convert the cube/hex coord to a pixel location
935  return hexsize * sqrt3 * (rz + rx / 2.0f) + yoffset;
936 }
EXTENSION_NOINLINE double Round ( const double  x,
const int32_t  y 
)

Definition at line 171 of file ExtensionFunctions.hpp.

171  {
172  if (y == 0) {
173  return round(x) + 0.0;
174  }
175 
176  double exp = pow(10, y);
177 #if defined(__powerpc__) && !defined(__CUDACC__)
178  int32_t yy = y - 1;
179  exp = 10 * powf((float)10L, yy);
180 #endif
181  return (round(x * exp) / exp) + 0.0;
182 }
EXTENSION_NOINLINE double Round2_to_digit ( const double  x,
const int32_t  y 
)

Definition at line 273 of file ExtensionFunctions.hpp.

273  {
274  double exp = pow(10, y);
275  return round(x * exp) / exp;
276 }
EXTENSION_NOINLINE float Round__ ( const float  x,
const int32_t  y 
)

Definition at line 185 of file ExtensionFunctions.hpp.

185  {
186  if (y == 0) {
187  return roundf(x) + 0.0f;
188  }
189 
190  float exp = powf((float)10L, y);
191 #if defined(__powerpc__) && !defined(__CUDACC__)
192  int32_t yy = y - 1;
193  exp = 10 * powf((float)10L, yy);
194 #endif
195  return roundf(x * exp) / exp + 0.0f;
196 }
EXTENSION_NOINLINE int16_t Round__1 ( const int16_t  x,
const int32_t  y 
)

Definition at line 199 of file ExtensionFunctions.hpp.

199  {
200  if (y >= 0) {
201  return x;
202  }
203 
204  int32_t p = pow((float)10L, std::abs(y));
205  int32_t p_half = p >> 1;
206 
207  int64_t temp = x;
208 #if defined(__powerpc__) && !defined(__CUDACC__)
209  int16_t xx = x;
210  xx += 1;
211  temp = xx;
212  temp -= 1;
213 #endif
214  temp = temp >= 0 ? temp + p_half : temp - p_half;
215  temp = temp / p;
216  return temp * p;
217 }
EXTENSION_NOINLINE int32_t Round__2 ( const int32_t  x,
const int32_t  y 
)

Definition at line 220 of file ExtensionFunctions.hpp.

220  {
221  if (y >= 0) {
222  return x;
223  }
224 
225  int32_t p = pow((float)10L, std::abs(y));
226  int32_t p_half = p >> 1;
227 
228  int64_t temp = x;
229 #if defined(__powerpc__) && !defined(__CUDACC__)
230  int32_t xx = x;
231  xx += 1;
232  temp = xx;
233  temp -= 1;
234 #endif
235  temp = temp >= 0 ? temp + p_half : temp - p_half;
236  temp = temp / p;
237  return temp * p;
238 }
EXTENSION_NOINLINE int64_t Round__3 ( const int64_t  x,
const int32_t  y 
)

Definition at line 241 of file ExtensionFunctions.hpp.

241  {
242  if (y >= 0) {
243  return x;
244  }
245 
246  int64_t p = pow((double)10L, std::abs(y));
247  int64_t p_half = p >> 1;
248 
249  int64_t temp = x;
250  temp = temp >= 0 ? temp + p_half : temp - p_half;
251  temp = temp / p;
252  return temp * p;
253 }
EXTENSION_NOINLINE int64_t Round__4 ( const int64_t  x,
const int32_t  y0,
const int32_t  scale 
)

Definition at line 256 of file ExtensionFunctions.hpp.

256  {
257  int32_t y = y0 - scale;
258 
259  if (y >= 0) {
260  return x;
261  }
262 
263  int64_t p = pow((double)10L, std::abs(y));
264  int64_t p_half = p >> 1;
265 
266  int64_t temp = x;
267  temp = temp >= 0 ? temp + p_half : temp - p_half;
268  temp = temp / p;
269  return temp * p;
270 }
EXTENSION_NOINLINE double round_to_digit ( const double  x,
const int32_t  y 
)

Definition at line 279 of file ExtensionFunctions.hpp.

279  {
280  double exp = pow(10, y);
281  return round(x * exp) / exp;
282 }
EXTENSION_NOINLINE double Sin ( const double  x)

Definition at line 285 of file ExtensionFunctions.hpp.

285  {
286  return sin(x);
287 }
EXTENSION_NOINLINE double Tan ( const double  x)

Definition at line 290 of file ExtensionFunctions.hpp.

290  {
291  return tan(x);
292 }
EXTENSION_NOINLINE double Tan__ ( const float  x)

Definition at line 295 of file ExtensionFunctions.hpp.

295  {
296  return tanf(x);
297 }
EXTENSION_NOINLINE double Truncate ( const double  x,
const int32_t  y 
)

Definition at line 300 of file ExtensionFunctions.hpp.

Referenced by com.mapd.calcite.parser.MapDSqlOperatorTable::addUDF().

300  {
301  double p = pow((double)10L, y);
302  int64_t temp = x * p;
303  return temp / p;
304 }

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EXTENSION_NOINLINE float Truncate__ ( const float  x,
const int32_t  y 
)

Definition at line 307 of file ExtensionFunctions.hpp.

307  {
308  float p = powf((float)10L, y);
309  int64_t temp = x * p;
310  return temp / p;
311 }
EXTENSION_NOINLINE int16_t Truncate__1 ( const int16_t  x,
const int32_t  y 
)

Definition at line 314 of file ExtensionFunctions.hpp.

314  {
315  if (y >= 0) {
316  return x;
317  }
318  int32_t p = pow((float)10L, std::abs(y));
319  int64_t temp = x / p;
320 #if defined(__powerpc__) && !defined(__CUDACC__)
321  int16_t xx = x;
322  xx += 1;
323  temp = xx;
324  temp -= 1;
325  temp /= p;
326 #endif
327  return temp * p;
328 }
EXTENSION_NOINLINE int32_t Truncate__2 ( const int32_t  x,
const int32_t  y 
)

Definition at line 331 of file ExtensionFunctions.hpp.

331  {
332  if (y >= 0) {
333  return x;
334  }
335  int32_t p = pow((float)10L, std::abs(y));
336  int64_t temp = x / p;
337  return temp * p;
338 }
EXTENSION_NOINLINE int64_t Truncate__3 ( const int64_t  x,
const int32_t  y 
)

Definition at line 341 of file ExtensionFunctions.hpp.

341  {
342  if (y >= 0) {
343  return x;
344  }
345  int64_t p = pow((double)10L, std::abs(y));
346  int64_t temp = x / p;
347  return temp * p;
348 }