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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 42 of file ExtensionFunctions.hpp.

42  {
43  return acos(x);
44 }
EXTENSION_NOINLINE double approx_distance_in_meters ( const float  fromlon,
const float  fromlat,
const float  tolon,
const float  tolat 
)

Definition at line 430 of file ExtensionFunctions.hpp.

References distance_in_meters__().

433  {
434 #ifdef __CUDACC__
435  float latitudeArc = (fromlat - tolat) * 0.017453292519943295769236907684886;
436  float longitudeArc = (fromlon - tolon) * 0.017453292519943295769236907684886;
437  float latitudeH = __sinf(latitudeArc * 0.5);
438  latitudeH *= latitudeH;
439  float lontitudeH = __sinf(longitudeArc * 0.5);
440  lontitudeH *= lontitudeH;
441  float tmp = __cosf(fromlat * 0.017453292519943295769236907684886) *
442  __cosf(tolat * 0.017453292519943295769236907684886);
443  return 6372797.560856 * (2.0 * asinf(__fsqrt_rd(latitudeH + tmp * lontitudeH)));
444 #else
445  return distance_in_meters__(fromlon, fromlat, tolon, tolat);
446 #endif
447 }
distance_in_meters__
EXTENSION_NOINLINE double distance_in_meters__(const float fromlon, const float fromlat, const float tolon, const float tolat)
Definition: ExtensionFunctions.hpp:414

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EXTENSION_NOINLINE double Asin ( const double  x)

Definition at line 47 of file ExtensionFunctions.hpp.

47  {
48  return asin(x);
49 }
EXTENSION_NOINLINE double Atan ( const double  x)

Definition at line 52 of file ExtensionFunctions.hpp.

52  {
53  return atan(x);
54 }
EXTENSION_NOINLINE double Atan2 ( const double  y,
const double  x 
)

Definition at line 57 of file ExtensionFunctions.hpp.

57  {
58  return atan2(y, x);
59 }
EXTENSION_NOINLINE double Ceil ( double  x)

Definition at line 62 of file ExtensionFunctions.hpp.

62  {
63  return ceil(x);
64 }
EXTENSION_NOINLINE float Ceil__ ( float  x)

Definition at line 67 of file ExtensionFunctions.hpp.

67  {
68  return ceil(x);
69 }
EXTENSION_NOINLINE int16_t Ceil__1 ( int16_t  x)

Definition at line 72 of file ExtensionFunctions.hpp.

72  {
73  return x;
74 }
EXTENSION_NOINLINE int32_t Ceil__2 ( int32_t  x)

Definition at line 77 of file ExtensionFunctions.hpp.

77  {
78  return x;
79 }
EXTENSION_NOINLINE int64_t Ceil__3 ( int64_t  x)

Definition at line 82 of file ExtensionFunctions.hpp.

82  {
83  return x;
84 }
EXTENSION_NOINLINE double conv_4326_900913_x ( const double  x)

Definition at line 367 of file ExtensionFunctions.hpp.

Referenced by convert_meters_to_merc_pixel_width(), and transform_coord().

367  {
368  return x * 111319.490778;
369 }

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EXTENSION_NOINLINE double conv_4326_900913_y ( const double  y)

Definition at line 372 of file ExtensionFunctions.hpp.

Referenced by convert_meters_to_merc_pixel_height(), and transform_coord().

372  {
373  return 6378136.99911 * log(tan(.00872664626 * y + .785398163397));
374 }

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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 1051 of file ExtensionFunctions.hpp.

References conv_4326_900913_y().

1057  {
1058  const double const1 = 0.017453292519943295769236907684886;
1059  const double const2 = 6372797.560856;
1060  const double latdiff = meters / (const1 * const2);
1061  const double newlat =
1062  (lat < 0) ? lat + latdiff : lat - latdiff; // assumes a lat range of [-90, 90]
1063  double t1 = conv_4326_900913_y(lat);
1064  double t2 = conv_4326_900913_y(newlat);
1065  const double min_merc_y = conv_4326_900913_y(min_lat);
1066  const double max_merc_y = conv_4326_900913_y(max_lat);
1067  const double merc_diff = max_merc_y - min_merc_y;
1068  t1 = ((t1 - min_merc_y) / merc_diff) * static_cast<double>(img_height);
1069  t2 = ((t2 - min_merc_y) / merc_diff) * static_cast<double>(img_height);
1070 
1071  // TODO(croot): need to account for edge cases, such as getting close to the poles.
1072  const double sz = fabs(t1 - t2);
1073  return (sz < min_height ? min_height : sz);
1074 }
conv_4326_900913_y
EXTENSION_NOINLINE double conv_4326_900913_y(const double y)
Definition: ExtensionFunctions.hpp:372

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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 1025 of file ExtensionFunctions.hpp.

References conv_4326_900913_x().

1031  {
1032  const double const1 = 0.017453292519943295769236907684886;
1033  const double const2 = 6372797.560856;
1034  double t1 = sinf(meters / (2.0 * const2));
1035  double t2 = cosf(const1 * lat);
1036  const double newlon = lon - (2.0 * asinf(t1 / t2)) / const1;
1037  t1 = conv_4326_900913_x(lon);
1038  t2 = conv_4326_900913_x(newlon);
1039  const double min_merc_x = conv_4326_900913_x(min_lon);
1040  const double max_merc_x = conv_4326_900913_x(max_lon);
1041  const double merc_diff = max_merc_x - min_merc_x;
1042  t1 = ((t1 - min_merc_x) / merc_diff) * static_cast<double>(img_width);
1043  t2 = ((t2 - min_merc_x) / merc_diff) * static_cast<double>(img_width);
1044 
1045  // TODO(croot): need to account for edge cases, such as getting close to the poles.
1046  const double sz = fabs(t1 - t2);
1047  return (sz < min_width ? min_width : sz);
1048 }
conv_4326_900913_x
EXTENSION_NOINLINE double conv_4326_900913_x(const double x)
Definition: ExtensionFunctions.hpp:367

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EXTENSION_NOINLINE double Cos ( const double  x)

Definition at line 87 of file ExtensionFunctions.hpp.

87  {
88  return cos(x);
89 }
EXTENSION_NOINLINE double Cot ( const double  x)

Definition at line 92 of file ExtensionFunctions.hpp.

92  {
93  return 1 / tan(x);
94 }
EXTENSION_NOINLINE double degrees ( double  x)

Definition at line 97 of file ExtensionFunctions.hpp.

97  {
98  return x * (180.0 / M_PI);
99 }
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 398 of file ExtensionFunctions.hpp.

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

401  {
402  double latitudeArc = (fromlat - tolat) * 0.017453292519943295769236907684886;
403  double longitudeArc = (fromlon - tolon) * 0.017453292519943295769236907684886;
404  double latitudeH = sin(latitudeArc * 0.5);
405  latitudeH *= latitudeH;
406  double lontitudeH = sin(longitudeArc * 0.5);
407  lontitudeH *= lontitudeH;
408  double tmp = cos(fromlat * 0.017453292519943295769236907684886) *
409  cos(tolat * 0.017453292519943295769236907684886);
410  return 6372797.560856 * (2.0 * asin(sqrt(latitudeH + tmp * lontitudeH)));
411 }

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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 414 of file ExtensionFunctions.hpp.

Referenced by approx_distance_in_meters().

417  {
418  float latitudeArc = (fromlat - tolat) * 0.017453292519943295769236907684886;
419  float longitudeArc = (fromlon - tolon) * 0.017453292519943295769236907684886;
420  float latitudeH = sinf(latitudeArc * 0.5);
421  latitudeH *= latitudeH;
422  float lontitudeH = sinf(longitudeArc * 0.5);
423  lontitudeH *= lontitudeH;
424  float tmp = cosf(fromlat * 0.017453292519943295769236907684886) *
425  cosf(tolat * 0.017453292519943295769236907684886);
426  return 6372797.560856 * (2.0 * asinf(sqrtf(latitudeH + tmp * lontitudeH)));
427 }

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EXTENSION_NOINLINE double Exp ( double  x)

Definition at line 102 of file ExtensionFunctions.hpp.

102  {
103  return exp(x);
104 }
EXTENSION_NOINLINE double Floor ( double  x)

Definition at line 107 of file ExtensionFunctions.hpp.

107  {
108  return floor(x);
109 }
EXTENSION_NOINLINE float Floor__ ( float  x)

Definition at line 112 of file ExtensionFunctions.hpp.

112  {
113  return floor(x);
114 }
EXTENSION_NOINLINE int16_t Floor__1 ( int16_t  x)

Definition at line 117 of file ExtensionFunctions.hpp.

117  {
118  return x;
119 }
EXTENSION_NOINLINE int32_t Floor__2 ( int32_t  x)

Definition at line 122 of file ExtensionFunctions.hpp.

122  {
123  return x;
124 }
EXTENSION_NOINLINE int64_t Floor__3 ( int64_t  x)

Definition at line 127 of file ExtensionFunctions.hpp.

127  {
128  return x;
129 }
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 1076 of file ExtensionFunctions.hpp.

1081  {
1082  return !(lon < min_lon || lon > max_lon || lat < min_lat || lat > max_lat);
1083 }
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 1085 of file ExtensionFunctions.hpp.

1091  {
1092  const double const1 = 0.017453292519943295769236907684886;
1093  const double const2 = 6372797.560856;
1094  const double latdiff = meters / (const1 * const2);
1095  const double t1 = sinf(meters / (2.0 * const2));
1096  const double t2 = cosf(const1 * lat);
1097  const double londiff = (2.0 * asinf(t1 / t2)) / const1;
1098  return !(lon + londiff < min_lon || lon - londiff > max_lon ||
1099  lat + latdiff < min_lat || lat - latdiff > max_lat);
1100 }
EXTENSION_NOINLINE bool isNan ( const double  x)

Definition at line 357 of file ExtensionFunctions.hpp.

357  {
358  return std::isnan(x);
359 }
EXTENSION_NOINLINE bool isNan__ ( const float  x)

Definition at line 362 of file ExtensionFunctions.hpp.

362  {
363  return std::isnan(x);
364 }
EXTENSION_NOINLINE double ln ( const double  x)

Definition at line 132 of file ExtensionFunctions.hpp.

132  {
133  return log(x);
134 }
EXTENSION_NOINLINE double ln__ ( const float  x)

Definition at line 137 of file ExtensionFunctions.hpp.

137  {
138  return logf(x);
139 }
EXTENSION_NOINLINE double Log ( const double  x)

Definition at line 142 of file ExtensionFunctions.hpp.

142  {
143  return log(x);
144 }
EXTENSION_NOINLINE double Log10 ( const double  x)

Definition at line 152 of file ExtensionFunctions.hpp.

152  {
153  return log10(x);
154 }
EXTENSION_NOINLINE double Log10__ ( const float  x)

Definition at line 157 of file ExtensionFunctions.hpp.

157  {
158  return log10f(x);
159 }
EXTENSION_NOINLINE double Log__ ( const float  x)

Definition at line 147 of file ExtensionFunctions.hpp.

147  {
148  return logf(x);
149 }
EXTENSION_NOINLINE double pi ( )

Definition at line 162 of file ExtensionFunctions.hpp.

Referenced by geotransform_4326_to_900913().

162  {
163  return M_PI;
164 }

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

Definition at line 167 of file ExtensionFunctions.hpp.

167  {
168  return pow(x, y);
169 }
EXTENSION_NOINLINE double radians ( const double  x)

Definition at line 172 of file ExtensionFunctions.hpp.

172  {
173  return x * (M_PI / 180.0);
174 }
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 450 of file ExtensionFunctions.hpp.

454  {
456  float numbinsf = float(numbins);
457  return float(int32_t(float((val - min) / (max - min)) * numbinsf)) *
458  float(dimensionsize) / numbinsf;
459 }
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 510 of file ExtensionFunctions.hpp.

521  {
522  const float imgwidthf = float(imgwidth);
523  const float rectwidthf = float(rectwidth);
524  double min = minx;
525  float offset = offsetx;
526  if (offset != 0) {
527  offset = fmodf(offset, rectwidthf);
528  if (offset > 0) {
529  offset -= rectwidthf;
530  }
531  min += offset * (maxx - minx) / imgwidthf;
532  }
533  float rx = float(int32_t(float((valx - min) / (maxx - min)) * (imgwidthf - offset) /
534  rectwidthf)) *
535  rectwidthf +
536  offset + rectwidthf / 2.0f;
537 
538  const float imgheightf = float(imgheight);
539  const float rectheightf = rectheight;
540  min = miny;
541  offset = offsety;
542  if (offset != 0) {
543  offset = fmodf(offset, rectheightf);
544  if (offset > 0) {
545  offset -= rectheightf;
546  }
547  min += offset * (maxy - miny) / imgheightf;
548  }
549  float ry = float(int32_t(float((valy - min) / (maxy - min)) * (imgheightf - offset) /
550  rectheightf)) *
551  rectheightf +
552  offset + rectheightf / 2.0f;
553 
554  // and pack as two 14.2 fixed-point values into 32bits
555  int32_t ux = static_cast<int32_t>(rx * 4.0f);
556  int32_t uy = static_cast<int32_t>(ry * 4.0f);
557  return (ux & 0x7FFF) | ((uy & 0x7FFF) << 16);
558 }
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 462 of file ExtensionFunctions.hpp.

467  {
468  const float imgwidthf = float(imgwidth);
469  const float rectwidthf = float(rectwidth);
470  double min = minx;
471  float offset = offsetx;
472  if (offset != 0) {
473  offset = fmodf(offset, rectwidthf);
474  if (offset > 0) {
475  offset -= rectwidthf;
476  }
477  min += offset * (maxx - minx) / imgwidthf;
478  }
479  return float(int32_t(float((valx - min) / (maxx - min)) * (imgwidthf - offset) /
480  rectwidthf)) *
481  rectwidthf +
482  offset + rectwidthf / 2.0f;
483 }
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 486 of file ExtensionFunctions.hpp.

491  {
492  const float imgheightf = float(imgheight);
493  const float rectheightf = rectheight;
494  double min = miny;
495  float offset = offsety;
496  if (offset != 0) {
497  offset = fmodf(offset, rectheightf);
498  if (offset > 0) {
499  offset -= rectheightf;
500  }
501  min += offset * (maxy - miny) / imgheightf;
502  }
503  return float(int32_t(float((valy - min) / (maxy - min)) * (imgheightf - offset) /
504  rectheightf)) *
505  rectheightf +
506  offset + rectheightf / 2.0f;
507 }
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 713 of file ExtensionFunctions.hpp.

724  {
725  const float sqrt3 = 1.7320508075688772;
726  const float imgwidthf = float(imgwidth);
727  const float imgheightf = float(imgheight);
728  const float hexwidthf = float(hexwidth);
729  const float hexheightf = float(hexheight);
730 
731  // expand the bounds of the data according
732  // to the input offsets. This is done because
733  // we also expand the image size according to the
734  // offsets because this algorithm layers the hexagon
735  // bins starting at the bottom left corner
736  double xmin = minx;
737  float xoffset = offsetx;
738  if (xoffset != 0) {
739  xoffset = fmodf(xoffset, hexwidthf);
740  if (xoffset > 0) {
741  xoffset -= hexwidthf;
742  }
743  xmin += xoffset * (maxx - xmin) / imgwidthf;
744  }
745 
746  double ymin = miny;
747  float yoffset = offsety;
748  if (yoffset != 0) {
749  yoffset = fmodf(yoffset, 1.5f * hexheightf);
750  if (yoffset > 0) {
751  yoffset -= 1.5f * hexheightf;
752  }
753  ymin += yoffset * (maxy - ymin) / imgheightf;
754  }
755 
756  // get the pixel position of the point
757  // assumes a linear scale here
758  // Rounds to the nearest pixel.
759  const float pix_x =
760  roundf((imgwidthf - xoffset) * float((valx - xmin) / (maxx - xmin)));
761  const float pix_y =
762  roundf((imgheightf - yoffset) * float((valy - ymin) / (maxy - ymin)));
763 
764  // Now convert the pixel position into a
765  // cube-coordinate system representation
766  const float hexsize = hexheightf / 2.0f;
767  const float cube_x = ((pix_x / sqrt3) - (pix_y / 3.0f)) / hexsize;
768  const float cube_z = (pix_y * 2.0f / 3.0f) / hexsize;
769  const float cube_y = -cube_x - cube_z;
770 
771  // need to round the cube coordinates above
772  float rx = round(cube_x);
773  float ry = round(cube_y);
774  float rz = round(cube_z);
775  const float x_diff = fabs(rx - cube_x);
776  const float y_diff = fabs(ry - cube_y);
777  const float z_diff = fabs(rz - cube_z);
778  if (x_diff > y_diff && x_diff > z_diff) {
779  rx = -ry - rz;
780  } else if (y_diff <= z_diff) {
781  rz = -rx - ry;
782  }
783 
784  // now convert the cube/hex coord to pixel locations
785  float hx = hexsize * sqrt3 * (rx + rz / 2.0f) + xoffset;
786  float hy = hexsize * 3.0f / 2.0f * rz + yoffset;
787 
788  // and pack as two 14.2 fixed-point values into 32bits
789  int32_t ux = static_cast<int32_t>(hx * 4.0f);
790  int32_t uy = static_cast<int32_t>(hy * 4.0f);
791  return (ux & 0x7FFF) | ((uy & 0x7FFF) << 16);
792 }
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 561 of file ExtensionFunctions.hpp.

572  {
573  const float sqrt3 = 1.7320508075688772;
574  const float imgwidthf = float(imgwidth);
575  const float imgheightf = float(imgheight);
576  const float hexwidthf = float(hexwidth);
577  const float hexheightf = float(hexheight);
578 
579  // expand the bounds of the data according
580  // to the input offsets. This is done because
581  // we also expand the image size according to the
582  // offsets because this algorithm layers the hexagon
583  // bins starting at the bottom left corner
584  double xmin = minx;
585  float xoffset = offsetx;
586  if (xoffset != 0) {
587  xoffset = fmodf(xoffset, hexwidthf);
588  if (xoffset > 0) {
589  xoffset -= hexwidthf;
590  }
591  xmin += xoffset * (maxx - xmin) / imgwidthf;
592  }
593 
594  double ymin = miny;
595  float yoffset = offsety;
596  if (yoffset != 0) {
597  yoffset = fmodf(yoffset, 1.5f * hexheightf);
598  if (yoffset > 0) {
599  yoffset -= 1.5f * hexheightf;
600  }
601  ymin += yoffset * (maxy - ymin) / imgheightf;
602  }
603 
604  // get the pixel position of the point
605  // assumes a linear scale here
606  // Rounds to the nearest pixel.
607  const float pix_x =
608  roundf((imgwidthf - xoffset) * float((valx - xmin) / (maxx - xmin)));
609  const float pix_y =
610  roundf((imgheightf - yoffset) * float((valy - ymin) / (maxy - ymin)));
611 
612  // Now convert the pixel position into a
613  // cube-coordinate system representation
614  const float hexsize = hexheightf / 2.0f;
615  const float cube_x = ((pix_x / sqrt3) - (pix_y / 3.0f)) / hexsize;
616  const float cube_z = (pix_y * 2.0f / 3.0f) / hexsize;
617  const float cube_y = -cube_x - cube_z;
618 
619  // need to round the cube coordinates above
620  float rx = round(cube_x);
621  float ry = round(cube_y);
622  float rz = round(cube_z);
623  const float x_diff = fabs(rx - cube_x);
624  const float y_diff = fabs(ry - cube_y);
625  const float z_diff = fabs(rz - cube_z);
626  if (x_diff > y_diff && x_diff > z_diff) {
627  rx = -ry - rz;
628  } else if (y_diff > z_diff) {
629  ry = -rx - rz;
630  } else {
631  rz = -rx - ry;
632  }
633 
634  // now convert the cube/hex coord to a pixel location
635  return hexsize * sqrt3 * (rx + rz / 2.0f) + xoffset;
636 }
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 639 of file ExtensionFunctions.hpp.

650  {
651  const float sqrt3 = 1.7320508075688772;
652  const float imgwidthf = float(imgwidth);
653  const float imgheightf = float(imgheight);
654  const float hexwidthf = float(hexwidth);
655  const float hexheightf = float(hexheight);
656 
657  // expand the bounds of the data according
658  // to the input offsets. This is done because
659  // we also expand the image size according to the
660  // offsets because this algorithm layers the hexagon
661  // bins starting at the bottom left corner
662  double xmin = minx;
663  float xoffset = offsetx;
664  if (xoffset != 0) {
665  xoffset = fmodf(xoffset, hexwidthf);
666  if (xoffset > 0) {
667  xoffset -= hexwidthf;
668  }
669  xmin += xoffset * (maxx - xmin) / imgwidthf;
670  }
671 
672  double ymin = miny;
673  float yoffset = offsety;
674  if (yoffset != 0) {
675  yoffset = fmodf(yoffset, 1.5f * hexheightf);
676  if (yoffset > 0) {
677  yoffset -= 1.5f * hexheightf;
678  }
679  ymin += yoffset * (maxy - ymin) / imgheightf;
680  }
681 
682  // get the pixel position of the point
683  // assumes a linear scale here
684  // Rounds to the nearest pixel.
685  const float pix_x =
686  roundf((imgwidthf - xoffset) * float((valx - xmin) / (maxx - xmin)));
687  const float pix_y =
688  roundf((imgheightf - yoffset) * float((valy - ymin) / (maxy - ymin)));
689 
690  // Now convert the pixel position into a
691  // cube-coordinate system representation
692  const float hexsize = hexheightf / 2.0f;
693  const float cube_x = ((pix_x / sqrt3) - (pix_y / 3.0f)) / hexsize;
694  const float cube_z = (pix_y * 2.0f / 3.0f) / hexsize;
695  const float cube_y = -cube_x - cube_z;
696 
697  // need to round the cube coordinates above
698  float rx = round(cube_x);
699  float ry = round(cube_y);
700  float rz = round(cube_z);
701  const float x_diff = fabs(rx - cube_x);
702  const float y_diff = fabs(ry - cube_y);
703  const float z_diff = fabs(rz - cube_z);
704  if ((x_diff <= y_diff || x_diff <= z_diff) && y_diff <= z_diff) {
705  rz = -rx - ry;
706  }
707 
708  // now convert the cube/hex coord to a pixel location
709  return hexsize * 3.0f / 2.0f * rz + yoffset;
710 }
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 945 of file ExtensionFunctions.hpp.

956  {
957  const float sqrt3 = 1.7320508075688772;
958  const float imgwidthf = float(imgwidth);
959  const float imgheightf = float(imgheight);
960  const float hexwidthf = float(hexwidth);
961  const float hexheightf = float(hexheight);
962 
963  // expand the bounds of the data according
964  // to the input offsets. This is done because
965  // we also expand the image size according to the
966  // offsets because this algorithm layers the hexagon
967  // bins starting at the bottom left corner
968  double xmin = minx;
969  float xoffset = offsetx;
970  if (xoffset != 0) {
971  xoffset = fmodf(xoffset, 1.5f * hexwidthf);
972  if (xoffset > 0) {
973  xoffset -= 1.5f * hexwidthf;
974  }
975  xmin += xoffset * (maxx - xmin) / imgwidthf;
976  }
977 
978  double ymin = miny;
979  float yoffset = offsety;
980  if (yoffset != 0) {
981  yoffset = fmodf(yoffset, hexheightf);
982  if (yoffset > 0) {
983  yoffset -= hexheightf;
984  }
985  ymin += yoffset * (maxy - ymin) / imgheightf;
986  }
987 
988  // get the pixel position of the point
989  // assumes a linear scale here
990  // Rounds to the nearest pixel.
991  const float pix_x = roundf((imgwidthf - xoffset) * float(valx - xmin) / (maxx - xmin));
992  const float pix_y = roundf((imgheightf - yoffset) * float(valy - ymin) / (maxy - ymin));
993 
994  // Now convert the pixel position into a
995  // cube-coordinate system representation
996  const float hexsize = hexwidthf / 2.0f;
997  const float cube_x = (pix_x * 2.0f / 3.0f) / hexsize;
998  const float cube_z = ((pix_y / sqrt3) - (pix_x / 3.0f)) / hexsize;
999  const float cube_y = -cube_x - cube_z;
1000 
1001  // need to round the cube coordinates above
1002  float rx = round(cube_x);
1003  float ry = round(cube_y);
1004  float rz = round(cube_z);
1005  const float x_diff = fabs(rx - cube_x);
1006  const float y_diff = fabs(ry - cube_y);
1007  const float z_diff = fabs(rz - cube_z);
1008  if (x_diff > y_diff && x_diff > z_diff) {
1009  rx = -ry - rz;
1010  } else if (y_diff <= z_diff) {
1011  rz = -rx - ry;
1012  }
1013 
1014  // now convert the cube/hex coord to a pixel location
1015  float hx = hexsize * 3.0f / 2.0f * rx + xoffset;
1016  float hy = hexsize * sqrt3 * (rz + rx / 2.0f) + yoffset;
1017 
1018  // and pack as two 14.2 fixed-point values into 32bits
1019  int32_t ux = static_cast<int32_t>(hx * 4.0f);
1020  int32_t uy = static_cast<int32_t>(hy * 4.0f);
1021  return (ux & 0x7FFF) | ((uy & 0x7FFF) << 16);
1022 }
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 795 of file ExtensionFunctions.hpp.

806  {
807  const float sqrt3 = 1.7320508075688772;
808  const float imgwidthf = float(imgwidth);
809  const float imgheightf = float(imgheight);
810  const float hexwidthf = float(hexwidth);
811  const float hexheightf = float(hexheight);
812 
813  // expand the bounds of the data according
814  // to the input offsets. This is done because
815  // we also expand the image size according to the
816  // offsets because this algorithm layers the hexagon
817  // bins starting at the bottom left corner
818  double xmin = minx;
819  float xoffset = offsetx;
820  if (xoffset != 0) {
821  xoffset = fmodf(xoffset, 1.5f * hexwidthf);
822  if (xoffset > 0) {
823  xoffset -= 1.5f * hexwidthf;
824  }
825  xmin += xoffset * (maxx - xmin) / imgwidthf;
826  }
827 
828  double ymin = miny;
829  float yoffset = offsety;
830  if (yoffset != 0) {
831  yoffset = fmodf(yoffset, hexheightf);
832  if (yoffset > 0) {
833  yoffset -= hexheightf;
834  }
835  ymin += yoffset * (maxy - ymin) / imgheightf;
836  }
837 
838  // get the pixel position of the point
839  // assumes a linear scale here
840  // Rounds to the nearest pixel.
841  const float pix_x =
842  roundf((imgwidthf - xoffset) * float((valx - xmin) / (maxx - xmin)));
843  const float pix_y =
844  roundf((imgheightf - yoffset) * float((valy - ymin) / (maxy - ymin)));
845 
846  // Now convert the pixel position into a
847  // cube-coordinate system representation
848  const float hexsize = hexwidthf / 2.0f;
849  const float cube_x = (pix_x * 2.0f / 3.0f) / hexsize;
850  const float cube_z = ((pix_y / sqrt3) - (pix_x / 3.0f)) / hexsize;
851  const float cube_y = -cube_x - cube_z;
852 
853  // need to round the cube coordinates above
854  float rx = round(cube_x);
855  float ry = round(cube_y);
856  float rz = round(cube_z);
857  const float x_diff = fabs(rx - cube_x);
858  const float y_diff = fabs(ry - cube_y);
859  const float z_diff = fabs(rz - cube_z);
860  if (x_diff > y_diff && x_diff > z_diff) {
861  rx = -ry - rz;
862  }
863 
864  // now convert the cube/hex coord to a pixel location
865  return hexsize * 3.0f / 2.0f * rx + xoffset;
866 }
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 869 of file ExtensionFunctions.hpp.

880  {
881  const float sqrt3 = 1.7320508075688772;
882  const float imgwidthf = float(imgwidth);
883  const float imgheightf = float(imgheight);
884  const float hexwidthf = float(hexwidth);
885  const float hexheightf = float(hexheight);
886 
887  // expand the bounds of the data according
888  // to the input offsets. This is done because
889  // we also expand the image size according to the
890  // offsets because this algorithm layers the hexagon
891  // bins starting at the bottom left corner
892  float xmin = minx;
893  float xoffset = offsetx;
894  if (xoffset != 0) {
895  xoffset = fmodf(xoffset, 1.5f * hexwidthf);
896  if (xoffset > 0) {
897  xoffset -= 1.5f * hexwidthf;
898  }
899  xmin += xoffset * (maxx - xmin) / imgwidthf;
900  }
901 
902  float ymin = miny;
903  float yoffset = offsety;
904  if (yoffset != 0) {
905  yoffset = fmodf(yoffset, hexheightf);
906  if (yoffset > 0) {
907  yoffset -= hexheightf;
908  }
909  ymin += yoffset * (maxy - ymin) / imgheightf;
910  }
911 
912  // get the pixel position of the point
913  // assumes a linear scale here
914  // Rounds to the nearest pixel.
915  const float pix_x = roundf((imgwidthf - xoffset) * (valx - xmin) / (maxx - xmin));
916  const float pix_y = roundf((imgheightf - yoffset) * (valy - ymin) / (maxy - ymin));
917 
918  // Now convert the pixel position into a
919  // cube-coordinate system representation
920  const float hexsize = hexwidthf / 2.0f;
921  const float cube_x = (pix_x * 2.0f / 3.0f) / hexsize;
922  const float cube_z = ((pix_y / sqrt3) - (pix_x / 3.0f)) / hexsize;
923  const float cube_y = -cube_x - cube_z;
924 
925  // need to round the cube coordinates above
926  float rx = round(cube_x);
927  float ry = round(cube_y);
928  float rz = round(cube_z);
929  const float x_diff = fabs(rx - cube_x);
930  const float y_diff = fabs(ry - cube_y);
931  const float z_diff = fabs(rz - cube_z);
932  if (x_diff > y_diff && x_diff > z_diff) {
933  rx = -ry - rz;
934  } else if (y_diff > z_diff) {
935  ry = -rx - rz;
936  } else {
937  rz = -rx - ry;
938  }
939 
940  // now convert the cube/hex coord to a pixel location
941  return hexsize * sqrt3 * (rz + rx / 2.0f) + yoffset;
942 }
EXTENSION_NOINLINE double Round ( const double  x,
const int32_t  y 
)

Definition at line 177 of file ExtensionFunctions.hpp.

177  {
178  if (y == 0) {
179  return round(x) + 0.0;
180  }
181 
182  double exp = pow(10, y);
183 #if defined(__powerpc__) && !defined(__CUDACC__)
184  int32_t yy = y - 1;
185  exp = 10 * powf((float)10L, yy);
186 #endif
187  return (round(x * exp) / exp) + 0.0;
188 }
EXTENSION_NOINLINE double Round2_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 float Round__ ( const float  x,
const int32_t  y 
)

Definition at line 191 of file ExtensionFunctions.hpp.

191  {
192  if (y == 0) {
193  return roundf(x) + 0.0f;
194  }
195 
196  float exp = powf((float)10L, y);
197 #if defined(__powerpc__) && !defined(__CUDACC__)
198  int32_t yy = y - 1;
199  exp = 10 * powf((float)10L, yy);
200 #endif
201  return roundf(x * exp) / exp + 0.0f;
202 }
EXTENSION_NOINLINE int16_t Round__1 ( const int16_t  x,
const int32_t  y 
)

Definition at line 205 of file ExtensionFunctions.hpp.

205  {
206  if (y >= 0) {
207  return x;
208  }
209 
210  int32_t p = pow((float)10L, std::abs(y));
211  int32_t p_half = p >> 1;
212 
213  int64_t temp = x;
214 #if defined(__powerpc__) && !defined(__CUDACC__)
215  int16_t xx = x;
216  xx += 1;
217  temp = xx;
218  temp -= 1;
219 #endif
220  temp = temp >= 0 ? temp + p_half : temp - p_half;
221  temp = temp / p;
222  return temp * p;
223 }
EXTENSION_NOINLINE int32_t Round__2 ( const int32_t  x,
const int32_t  y 
)

Definition at line 226 of file ExtensionFunctions.hpp.

226  {
227  if (y >= 0) {
228  return x;
229  }
230 
231  int32_t p = pow((float)10L, std::abs(y));
232  int32_t p_half = p >> 1;
233 
234  int64_t temp = x;
235 #if defined(__powerpc__) && !defined(__CUDACC__)
236  int32_t xx = x;
237  xx += 1;
238  temp = xx;
239  temp -= 1;
240 #endif
241  temp = temp >= 0 ? temp + p_half : temp - p_half;
242  temp = temp / p;
243  return temp * p;
244 }
EXTENSION_NOINLINE int64_t Round__3 ( const int64_t  x,
const int32_t  y 
)

Definition at line 247 of file ExtensionFunctions.hpp.

247  {
248  if (y >= 0) {
249  return x;
250  }
251 
252  int64_t p = pow((double)10L, std::abs(y));
253  int64_t p_half = p >> 1;
254 
255  int64_t temp = x;
256  temp = temp >= 0 ? temp + p_half : temp - p_half;
257  temp = temp / p;
258  return temp * p;
259 }
EXTENSION_NOINLINE int64_t Round__4 ( const int64_t  x,
const int32_t  y0,
const int32_t  scale 
)

Definition at line 262 of file ExtensionFunctions.hpp.

262  {
263  int32_t y = y0 - scale;
264 
265  if (y >= 0) {
266  return x;
267  }
268 
269  int64_t p = pow((double)10L, std::abs(y));
270  int64_t p_half = p >> 1;
271 
272  int64_t temp = x;
273  temp = temp >= 0 ? temp + p_half : temp - p_half;
274  temp = temp / p;
275  return temp * p;
276 }
EXTENSION_NOINLINE double round_to_digit ( const double  x,
const int32_t  y 
)

Definition at line 285 of file ExtensionFunctions.hpp.

285  {
286  double exp = pow(10, y);
287  return round(x * exp) / exp;
288 }
EXTENSION_NOINLINE double Sin ( const double  x)

Definition at line 291 of file ExtensionFunctions.hpp.

291  {
292  return sin(x);
293 }
EXTENSION_NOINLINE double Tan ( const double  x)

Definition at line 296 of file ExtensionFunctions.hpp.

296  {
297  return tan(x);
298 }
EXTENSION_NOINLINE double Tan__ ( const float  x)

Definition at line 301 of file ExtensionFunctions.hpp.

301  {
302  return tanf(x);
303 }
EXTENSION_NOINLINE double Truncate ( const double  x,
const int32_t  y 
)

Definition at line 306 of file ExtensionFunctions.hpp.

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

306  {
307  double p = pow((double)10L, y);
308  int64_t temp = x * p;
309  return temp / p;
310 }

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

Definition at line 313 of file ExtensionFunctions.hpp.

313  {
314  float p = powf((float)10L, y);
315  int64_t temp = x * p;
316  return temp / p;
317 }
EXTENSION_NOINLINE int16_t Truncate__1 ( const int16_t  x,
const int32_t  y 
)

Definition at line 320 of file ExtensionFunctions.hpp.

320  {
321  if (y >= 0) {
322  return x;
323  }
324  int32_t p = pow((float)10L, std::abs(y));
325  int64_t temp = x / p;
326 #if defined(__powerpc__) && !defined(__CUDACC__)
327  int16_t xx = x;
328  xx += 1;
329  temp = xx;
330  temp -= 1;
331  temp /= p;
332 #endif
333  return temp * p;
334 }
EXTENSION_NOINLINE int32_t Truncate__2 ( const int32_t  x,
const int32_t  y 
)

Definition at line 337 of file ExtensionFunctions.hpp.

337  {
338  if (y >= 0) {
339  return x;
340  }
341  int32_t p = pow((float)10L, std::abs(y));
342  int64_t temp = x / p;
343  return temp * p;
344 }
EXTENSION_NOINLINE int64_t Truncate__3 ( const int64_t  x,
const int32_t  y 
)

Definition at line 347 of file ExtensionFunctions.hpp.

347  {
348  if (y >= 0) {
349  return x;
350  }
351  int64_t p = pow((double)10L, std::abs(y));
352  int64_t temp = x / p;
353  return temp * p;
354 }