{
  "name": "affine_transform",
  "type": "function",
  "groups": ["GeometryGroup"],
  "description": "Returns the geometry after an affine transformation. Calculations are in the Spatial Reference System of this geometry. The operations are performed in a scale, rotation, translation order. If there is a Z or M offset but the coordinate is not present in the geometry, it will be added.",
  "arguments": [{
    "arg": "geometry",
    "description": "a geometry"
  }, {
    "arg": "delta_x",
    "description": "x-axis translation"
  }, {
    "arg": "delta_y",
    "description": "y-axis translation"
  }, {
    "arg": "rotation_z",
    "description": "rotation around z-axis in degrees counter-clockwise"
  }, {
    "arg": "scale_x",
    "description": "x-axis scale factor"
  }, {
    "arg": "scale_y",
    "description": "y-axis scale factor"
  }, {
    "arg": "delta_z",
    "optional": true,
    "default": "0",
    "description": "z-axis translation"
  }, {
    "arg": "delta_m",
    "optional": true,
    "default": "0",
    "description": "m-axis translation"
  }, {
    "arg": "scale_z",
    "optional": true,
    "default": "1",
    "description": "z-axis scale factor"
  }, {
    "arg": "scale_m",
    "optional": true,
    "default": "1",
    "description": "m-axis scale factor"
  }],
  "examples": [{
    "expression": "geom_to_wkt(affine_transform(geom_from_wkt('LINESTRING(1 1, 2 2)'), 2, 2, 0, 1, 1))",
    "returns": "'LineString (3 3, 4 4)'"
  }, {
    "expression": "geom_to_wkt(affine_transform(geom_from_wkt('POLYGON((0 0, 0 3, 2 2, 0 0))'), 0, 0, -90, 1, 2))",
    "returns": "'Polygon ((0 0, 6 0, 4 -2, 0 0))'"
  }, {
    "expression": "geom_to_wkt(affine_transform(geom_from_wkt('POINT(3 1)'), 0, 0, 0, 1, 1, 5, 0))",
    "returns": "'PointZ (3 1 5)'"
  }],
  "tags": ["affine", "coordinate", "operations", "spatial", "transformation", "reference", "offset", "system", "calculations", "translation", "rotation", "order", "added", "present", "scale"]
}