SDO_UTIL.AFFINETRANSFORMS

Format

SDO_UTIL.AFFINETRANSFORMS(
     geometry    IN SDO_GEOMETRY, 
     translation IN VARCHAR2 DEFAULT 'FALSE', 
     tx          IN NUMBER DEFAULT 0.0, 
     ty          IN NUMBER DEFAULT 0.0, 
     tz          IN NUMBER DEFAULT 0.0, 
     scaling     IN VARCHAR2 DEFAULT 'FALSE', 
     psc1        IN SDO_GEOMETRY DEFAULT NULL, 
     sx          IN NUMBER DEFAULT 0.0, 
     sy          IN NUMBER DEFAULT 0.0, 
     sz          IN NUMBER DEFAULT 0.0, 
     rotation    IN VARCHAR2 DEFAULT 'FALSE', 
     p1          IN SDO_GEOMETRY DEFAULT NULL, 
     line1       IN SDO_GEOMETRY DEFAULT NULL, 
     angle       IN NUMBER DEFAULT 0.0, 
     dir         IN NUMBER DEFAULT -1, 
     shearing    IN VARCHAR2 DEFAULT 'FALSE', 
     shxy        IN NUMBER DEFAULT 0.0, 
     shyx        IN NUMBER DEFAULT 0.0, 
     shxz        IN NUMBER DEFAULT 0.0, 
     shzx        IN NUMBER DEFAULT 0.0, 
     shyz        IN NUMBER DEFAULT 0.0, 
     shzy        IN NUMBER DEFAULT 0.0, 
     reflection  IN VARCHAR2 DEFAULT 'FALSE', 
     pref        IN SDO_GEOMETRY DEFAULT NULL, 
     lineR       IN SDO_GEOMETRY DEFAULT NULL, 
     dirR        IN NUMBER DEFAULT -1, 
     planeR      IN VARCHAR2 DEFAULT 'FALSE', 
     n           IN SDO_NUMBER_ARRAY DEFAULT NULL, 
     bigD        IN SDO_NUMBER_ARRAY DEFAULT NULL 
     ) RETURN SDO_GEOMETRY;

Description

Returns a geometry that reflects an affine transformation of the input geometry.

Parameters

geometry

Input geometry on which to perform the affine transformation.

translation

A string value of TRUE causes translation to be performed; a string value of FALSE (the default) causes translation not to be performed. If this parameter is TRUE, translation is performed about the point at (tx,ty) or (tx,ty,tz).

tx

X-axis value for translation. The default value is 0.0.

ty

Y-axis value for translation. The default value is 0.0.

tz

Z-axis value for translation. The default value is 0.0.

scaling

A string value of TRUE causes scaling to be performed; a string value of FALSE (the default) causes scaling not to be performed.

psc1

Point on the input geometry about which to perform the scaling. If scaling is TRUE, this geometry should be either a zero point (point geometry with 0,0 or 0,0,0 ordinates for scaling about the origin) or a nonzero point (point geometry with ordinates for scaling about a point other than the origin). If scaling is FALSE, psc1 can be a null value.

sx

X-axis value for scaling (about either the point specified in the psc1 parameter or the origin). The default value is 0.0.

sy

Y-axis value for scaling (about either the point specified in the psc1 parameter or the origin). The default value is 0.0.

sz

Z-axis value for scaling (about either the point specified in the psc1 parameter or the origin). The default value is 0.0.

rotation

A string value of TRUE causes rotation to be performed; a string value of FALSE (the default) causes rotation not to be performed.

For two-dimensional geometries, rotation uses the p1 and angle values. For three-dimensional geometries, rotation uses either the angle and dir values or the line1 and angle values.

p1

Point for two-dimensional geometry rotation about a specified point.

line1

Line for rotation about a specified axis.

angle

Angle rotation parameter (in radians) for rotation about a specified axis or about the X, Y, or Z axis. The default value is 0.0.

dir

Rotation parameter for x(0), y(1), or z(2)-axis roll. If the rotation parameter value is TRUE but the dir parameter is not used, use a value of -1 (the default)

shearing

A string value of TRUE causes shearing to be performed; a string value of FALSE (the default) causes shearing not to be performed.

For two-dimensional geometries, shearing uses the shxy and shyx parameter values. For three-dimensional geometries, shearing uses the shxy, shyx, shxz, shzx, shyz, and shzy parameter values.

shxy

Value for shearing due to X along the Y direction. The default value is 0.0.

shyx

Value for shearing due to Y along the X direction. The default value is 0.0.

shxz

Value for shearing due to X along the Z direction (three-dimensional geometries only). The default value is 0.0.

shzx

Value for shearing due to Z along the X direction (three-dimensional geometries only).

shyz

Value for shearing due to Y along the Z direction (three-dimensional geometries only).

shzy

Value for shearing due to Z along the Y direction (three-dimensional geometries only).

reflection

A string value of TRUE causes reflection to be performed; a string value of FALSE (the default) causes reflection not to be performed.

For two-dimensional geometries, reflection uses the lineR value for reflection about an axis and the pref value for the centroid for self-reflection. For three-dimensional geometries, reflection uses the lineR value for reflection about an axis; the dirR value for reflection about the yz, xz, and xy planes; the planeR, n, and bigD values for reflection about a specified plane; and the pref value for the centroid for self-reflection.

pref

Point through which to perform reflection.

lineR

Line along which to perform reflection.

dirR

Number indicating the plane about (through) which to perform reflection: 0 for the yz plane, 1 for the xz plane, or 2 for the xy plane. If the reflection parameter value is TRUE but the dirR parameter is not used, use a value of -1 (the default).

planeR

A string value of TRUE causes reflection about an arbitrary plane to be performed; a string value of FALSE (the default) causes reflection about an arbitrary plane not to be performed.

n

Normal vector of the plane.

bigD

Delta value for the plane equation in three-dimensional geometries.

For three-dimensional geometries, bigD = delta and n = (A,B,C) where n is the normal of the plane in three-dimensional space. Thus, the plane equation is:

Ax+By+Cz+bigD = 3DDotProd(n,anypointonplane)+bigD = 0

Usage Notes

Note:

SDO_UTIL.AFFINETRANSFORMS function is not supported in Oracle Autonomous Database Serverless deployments.

The order of affine transforms matter because these are matrix and vector multiplications.

You should validate the resulting geometry using the SDO_GEOM.VALIDATE_GEOMETRY_WITH_CONTEXT function.

Examples

The following example performs an affine transformation on a two-dimensional geometry.

-- Polygon reflection in 2D about a specified line segment
SELECT SDO_UTIL.AFFINETRANSFORMS(
  geometry =>   sdo_geometry (2003,8307,null,sdo_elem_info_array (1,1003,1),
                              sdo_ordinate_array (0,2,2,0,5,3,3,5,0,2)),
  translation => 'FALSE',
  tx => 0.0,
  ty => 0.0,
  tz => 0.0,
  scaling => 'FALSE',
  psc1 => NULL,
  sx => 0.0,
  sy => 0.0,
  sz => 0.0,
  rotation => 'TRUE',
  p1 => sdo_geometry (2001,8307,sdo_point_type(0,2,null),null,null),
  line1 => NULL,
  angle => -2.35253274913915,
  dir => -1,
  shearing => 'FALSE',
  shxy => 0.0,
  shyx => 0.0,
  shxz => 0.0,
  shzx => 0.0,
  shyz => 0.0,
  shzy => 0.0,
  reflection => 'FALSE',
  pref => NULL,
  lineR => NULL,
  dirR => 0,
  planeR => 'FALSE',
  n => NULL,
  bigD => NULL
) FROM DUAL;

SDO_UTIL.AFFINETRANSFORMS(GEOMETRY=>SDO_GEOMETRY(2003,8307,NULL,SDO_ELEM_INFO_AR
--------------------------------------------------------------------------------
SDO_GEOMETRY(2003, 8307, NULL, SDO_ELEM_INFO_ARRAY(1, 1003, 1), SDO_ORDINATE_ARR
AY(0, 2, -2.8284082, 1.98964306, -2.8128727, -2.2529692, .015535417, -2.2426122,
 0, 2))

The following is a simplified version of the preceding example, using the default values for most parameters.

-- Simpler form, using most default values
SELECT SDO_UTIL.AFFINETRANSFORMS(
  geometry =>   sdo_geometry (2003,8307,null,sdo_elem_info_array (1,1003,1),
                              sdo_ordinate_array (0,2,2,0,5,3,3,5,0,2)),
  rotation => 'TRUE',
  p1 => sdo_geometry (2001,8307,sdo_point_type(0,2,null),null,null),
  angle => -2.35253274913915
) FROM DUAL;

SDO_UTIL.AFFINETRANSFORMS(GEOMETRY=>SDO_GEOMETRY(2003,8307,NULL,SDO_ELEM_INFO_AR
--------------------------------------------------------------------------------
SDO_GEOMETRY(2003, 8307, NULL, SDO_ELEM_INFO_ARRAY(1, 1003, 1), SDO_ORDINATE_ARR
AY(0, 2, -2.8284082, 1.98964306, -2.8128727, -2.2529692, .015535417, -2.2426122,
 0, 2))

The following example performs an affine transformation on a three-dimensional geometry.

-- Polygon reflection in 3D about a specified plane (z=1 plane in this example)
SELECT SDO_UTIL.AFFINETRANSFORMS(
  geometry => MDSYS.SDO_GEOMETRY(3003, 0, NULL, 
     MDSYS.SDO_ELEM_INFO_ARRAY(1,1003,1),
     MDSYS.SDO_ORDINATE_ARRAY(
     1.5,0,0,
     2.5,1,0,
     1.5,2,0,
     0.5,2,0,
     0.5,0,0,
     1.5,0,0)),
  translation => 'FALSE',
  tx => 0.0, 
  ty => 0.0, 
  tz => 0.0,
  scaling => 'FALSE', 
  psc1 => NULL, 
  sx => 0.0, 
  sy => 0.0, 
  sz => 0.0,
  rotation => 'FALSE', 
  p1 => NULL, 
  line1 => NULL,
  angle => 0.0, 
  dir => 0,
  shearing => 'FALSE', 
  shxy => 0.0, 
  shyx => 0.0, 
  shxz => 0.0, 
  shzx => 0.0, 
  shyz => 0.0, 
  shzy => 0.0,
  reflection => 'TRUE', 
  pref => NULL, 
  lineR => NULL, 
  dirR => -1, 
  planeR => 'TRUE', 
  n => SDO_NUMBER_ARRAY(0.0, 0.0, 1.0),   
  bigD => SDO_NUMBER_ARRAY(-1.0)
) FROM DUAL;

SDO_UTIL.AFFINETRANSFORMS(GEOMETRY=>MDSYS.SDO_GEOMETRY(3003,0,NULL,MDSYS.SDO_ELE
--------------------------------------------------------------------------------
SDO_GEOMETRY(3003, NULL, NULL, SDO_ELEM_INFO_ARRAY(1, 1003, 1), SDO_ORDINATE_ARR
AY(1.5, 0, 2, 2.5, 1, 2, 1.5, 2, 2, .5, 2, 2, .5, 0, 2, 1.5, 0, 2))