Database: mytestdb
Restore : no 

Operator : importSTL
Number   : 1
Signature: text -> volume3d
Example  : query importSTL ('cube.txt.stl') exportSTL ["myCube", 'cube.txt.out.stl', FALSE];
Result   : TRUE

Operator : exportSTL
Number   : 1
Signature: volume3d x string x text x bool -> bool
Example  : query importSTL ('cube.bin.stl') exportSTL ["myCube", 'cube.bin.out.stl', TRUE];
Result   : TRUE

Operator : rotate
Number   : 1
Signature: point3d x point3d x vector3d x real -> point3d
Example  : query [const point3d value(1 1 0)] rotate [[const point3d value(0 0 0)],[const vector3d value(0 0 1)], 180.0];
Result   : (point3d (-1.0 -1.0 0.0))

Operator : rotate
Number   : 2
Signature: surface3d x point3d x vector3d x real -> surface3d
Example  : query [const surface3d value (((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((0.0 0.0 0.0) (1.0 1.0 0.0) (1.0 0.0 0.0)))]  rotate [[const point3d value(0 0 0)],[const vector3d value(0 0 1)], 270.0];
Result   : (surface3d (((0.0 0.0 0.0) (1.0 -1.83697019872103e-16 0.0) (0.9999999999999998 -1.0 0.0)) ((0.0 0.0 0.0) (0.9999999999999998 -1.0 0.0) (-1.83697019872103e-16 -1.0 0.0))))

Operator : rotate
Number   : 3
Signature: volume3d x point3d x vector3d x real -> volume3d
Example  : query [const volume3d value (((0.0 0.0 0.0) (1.0 1.0 0.0) (1.0 0.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 0.0 1.0)) ((1.0 1.0 0.0)(1.0 0.0 1.0)(1.0 0.0 0.0)) ((1.0 1.0 0.0)(0.0 0.0 0.0)(1.0 0.0 1.0)))]  rotate [[const point3d value(0 0 0)],[const vector3d value(0 0 1)], 180.0];
Result   : (volume3d (((0.0 0.0 0.0) (-1.0 -0.9999999999999999 0.0) (-1.0 1.224646799147353e-16 0.0)) ((0.0 0.0 0.0) (-1.0 1.224646799147353e-16 0.0) (-1.0 1.224646799147353e-16 1.0)) ((-1.0 -0.9999999999999999 0.0) (-1.0 1.224646799147353e-16 1.0) (-1.0 1.224646799147353e-16 0.0)) ((-1.0 -0.9999999999999999 0.0) (0.0 0.0 0.0) (-1.0 1.224646799147353e-16 1.0))))

Operator : mirror
Number   : 1
Signature: point3d x plane3d -> point3d
Example  : query [const point3d value(1 1 5)] mirror [[const plane3d value(0 0 0 1)]];
Result   : (point3d (1.0 1.0 -5.0))

Operator : mirror
Number   : 2
Signature: surface3d x plane3d -> surface3d
Example  : query [const surface3d value (((0.0 0.0 0.0) (1.0 1.0 0.0) (1.0 0.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 0.0 1.0)) ((1.0 1.0 0.0)(1.0 0.0 1.0)(1.0 0.0 0.0)) ((1.0 1.0 0.0)(0.0 0.0 0.0)(1.0 0.0 1.0)))]  mirror [[const plane3d value(0.0 1.0 1.0 0.0)]];
Result   : (surface3d (((0.0 0.0 0.0) (2.220446049250313e-16 -1.0 8.659560562354932e-17) (-0.9999999999999998 -1.0 1.731912112470987e-16)) ((0.0 0.0 0.0) (3.086402105485806e-16 -0.9999999999999999 1.0) (2.220446049250313e-16 -1.0 8.659560562354932e-17)) ((-0.9999999999999998 -1.0 1.731912112470987e-16) (2.220446049250313e-16 -1.0 8.659560562354932e-17) (3.086402105485806e-16 -0.9999999999999999 1.0)) ((-0.9999999999999998 -1.0 1.731912112470987e-16) (3.086402105485806e-16 -0.9999999999999999 1.0) (0.0 0.0 0.0))))

Operator : mirror
Number   : 3
Signature: volume3d x plane3d -> volume3d
Example  : query bbox3d([const volume3d value (((0.0 0.0 0.0) (1.0 1.0 0.0) (1.0 0.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 0.0 1.0)) ((1.0 1.0 0.0)(1.0 0.0 1.0)(1.0 0.0 0.0)) ((1.0 1.0 0.0)(0.0 0.0 0.0)(1.0 0.0 1.0)))]  mirror [[const plane3d value(0.0 1.0 1.0 0.0)]]);
Result   : (rect3 (-0.9999999999999998 3.086402105485806e-16 -1.0 0.0 0.0 1.0))

Operator : translate
Number   : 1
Signature: point3d x vector3d -> point3d
Example  : query [const point3d value(0 0 0)] translate [[const vector3d value(1 1 1)]];
Result   : (point3d (1.0 1.0 1.0))

Operator : translate
Number   : 2
Signature: surface3d x vector3d -> surface3d
Example  : query [const surface3d value (((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 1.0 0.0)))] translate [[const vector3d value(-10.0 20.0 -30.0)]];
Result   : (surface3d (((-10.0 20.0 -30.0) (-10.0 21.0 -30.0) (-9.0 21.0 -30.0)) ((-10.0 20.0 -30.0) (-9.0 20.0 -30.0) (-9.0 21.0 -30.0))))

Operator : translate
Number   : 3
Signature: volume3d x vector3d -> volume3d
Example  : query [const volume3d value (((0.0 0.0 0.0) (1.0 1.0 0.0) (1.0 0.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 0.0 1.0)) ((1.0 1.0 0.0)(1.0 0.0 1.0)(1.0 0.0 0.0)) ((1.0 1.0 0.0)(0.0 0.0 0.0)(1.0 0.0 1.0)))] translate [[const vector3d value(-10.0 20.0 -30.0)]];
Result   : (volume3d (((-10.0 20.0 -30.0) (-9.0 21.0 -30.0) (-9.0 20.0 -30.0)) ((-10.0 20.0 -30.0) (-9.0 20.0 -30.0) (-9.0 20.0 -29.0)) ((-9.0 21.0 -30.0) (-9.0 20.0 -29.0) (-9.0 20.0 -30.0)) ((-9.0 21.0 -30.0) (-10.0 20.0 -30.0) (-9.0 20.0 -29.0))))

Operator : scaleDir
Number   : 1
Signature: point3d x point3d x vector3d -> point3d
Example  : query [const point3d value(2.0 3.0 4.0)] scaleDir [[const point3d value(1.0 2.0 3.0)],[const vector3d value(10.0 20.0 30.0)]];
Result   : (point3d (11.0 22.0 33.0))

Operator : scaleDir
Number   : 2
Signature: surface3d x point3d x vector3d -> surface3d
Example  : query [const surface3d value (((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 1.0 0.0)))] scaleDir [[const point3d value(1.0 2.0 3.0)],[const vector3d value(10.0 20.0 30.0)]];
Result   : (surface3d (((-9.0 -38.0 -87.0) (-9.0 -18.0 -87.0) (1.0 -18.0 -87.0)) ((-9.0 -38.0 -87.0) (1.0 -38.0 -87.0) (1.0 -18.0 -87.0))))

Operator : scaleDir
Number   : 3
Signature: volume3d x point3d x vector3d -> volume3d
Example  : query [const volume3d value (((0.0 0.0 0.0) (1.0 1.0 0.0) (1.0 0.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 0.0 1.0)) ((1.0 1.0 0.0)(1.0 0.0 1.0)(1.0 0.0 0.0)) ((1.0 1.0 0.0)(0.0 0.0 0.0)(1.0 0.0 1.0)))] scaleDir [[const point3d value(1.0 2.0 3.0)],[const vector3d value(10.0 20.0 30.0)]];
Result   : (volume3d (((-9.0 -38.0 -87.0) (1.0 -18.0 -87.0) (1.0 -38.0 -87.0)) ((-9.0 -38.0 -87.0) (1.0 -38.0 -87.0) (1.0 -38.0 -57.0)) ((1.0 -18.0 -87.0) (1.0 -38.0 -57.0) (1.0 -38.0 -87.0)) ((1.0 -18.0 -87.0) (-9.0 -38.0 -87.0) (1.0 -38.0 -57.0))))

Operator : scale
Number   : 1
Signature: point3d x point3d x real -> point3d
Example  : query [const point3d value(2.0 3.0 4.0)] scale [[const point3d value(1.0 2.0 3.0)],10.0];
Result   : (point3d (11.0 12.0 13.0))

Operator : scale
Number   : 2
Signature: surface3d x point3d x real -> surface3d
Example  : query [const surface3d value (((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 1.0 0.0)))] scale [[const point3d value(1.0 2.0 3.0)],10.0];
Result   : (surface3d (((-9.0 -18.0 -27.0) (-9.0 -8.0 -27.0) (1.0 -8.0 -27.0)) ((-9.0 -18.0 -27.0) (1.0 -18.0 -27.0) (1.0 -8.0 -27.0))))

Operator : scale
Number   : 3
Signature: volume3d x point3d x real -> volume3d
Example  : query [const volume3d value (((0.0 0.0 0.0) (1.0 1.0 0.0) (1.0 0.0 0.0)) ((0.0 0.0 0.0) (1.0 0.0 0.0) (1.0 0.0 1.0)) ((1.0 1.0 0.0)(1.0 0.0 1.0)(1.0 0.0 0.0)) ((1.0 1.0 0.0)(0.0 0.0 0.0)(1.0 0.0 1.0)))] scale [[const point3d value(1.0 2.0 3.0)],10.0];
Result   : (volume3d (((-9.0 -18.0 -27.0) (1.0 -8.0 -27.0) (1.0 -18.0 -27.0)) ((-9.0 -18.0 -27.0) (1.0 -18.0 -27.0) (1.0 -18.0 -17.0)) ((1.0 -8.0 -27.0) (1.0 -18.0 -17.0) (1.0 -18.0 -27.0)) ((1.0 -8.0 -27.0) (-9.0 -18.0 -27.0) (1.0 -18.0 -17.0))))

Operator : size
Number   : 1
Signature: ({surface3d | volume3d}) -> int
Example  : query size([const surface3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))]);
Result   : 2

Operator : bbox3d
Number   : 1
Signature: point3d -> rect3
Example  : query bbox3d([const point3d value(1.0 1.0 2.0)]);
Result   : (rect3 (1.0 1.0 1.0 1.0 2.0 2.0))

Operator : bbox3d
Number   : 2
Signature: ({surface3d | volume3d}) -> rect3
Example  : query bbox3d([const surface3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))]);
Result   : (rect3  (0.0 1.0 0.0 1.0 0.0 2.0))

Operator : createCube
Number   : 1
Signature: point3d x point3d -> volume3d
Example  : query bbox3d(createCube([const point3d value(0.0 0.0 0.0)],[const point3d value(1.0 1.0 1.0)]));
Result   : (rect3 (0.0 1.0 0.0 1.0 0.0 1.0))

Operator : createCylinder
Number   : 1
Signature: point3d x real x real x int -> volume3d
Example  : query bbox3d(createCylinder([const point3d value(0.0 0.0 0.0)],1.0,1.0,3));
Result   : (rect3 (-0.5000000000000004 1.0 -0.8660254037844384 0.8660254037844387 0.0 1.0))

Operator : createCone
Number   : 1
Signature: point3d x real x real x int -> volume3d
Example  : query bbox3d(createCone([const point3d value(0.0 0.0 0.0)],1.0,1.0,3));
Result   : (rect3 (-0.5000000000000004 1.0 -0.8660254037844384 0.8660254037844387 0.0 1.0))

Operator : createSphere
Number   : 1
Signature: point3d x real x int -> volume3d
Example  : query bbox3d(createSphere([const point3d value(0.0 0.0 0.0)],1.0,3));
Result   : (rect3 (-1.0 1.0 -1.0 1.0 0.0 2.0))

Operator : union
Number   : 1
Signature: surface3d x surface3d -> surface3d
Example  : query [const surface3d value(((0.0 0.0 0.0) (4.0 0.0 0.0) (2.0 4.0 1.0)))] union [const surface3d value(((1.0 2.0 0.0) (5.0 2.0 0.0) (1.0 6.0 0.0)))];
Result   : (surface3d (((0.0 0.0 0.0) (4.0 0.0 0.0) (2.0 4.0 1.0)) ((1.0 2.0 0.0) (5.0 2.0 0.0) (1.0 6.0 0.0))))

Operator : union
Number   : 2
Signature: volume3d x volume3d -> volume3d
Example  : query [const volume3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))] union [const volume3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))];
Result   : (volume3d undefined)

Operator : minus
Number   : 1
Signature: surface3d x surface3d -> surface3d
Example  : query [const surface3d value(((0.0 0.0 0.0) (4.0 0.0 0.0) (2.0 4.0 1.0)))] minus [const surface3d value(((1.0 2.0 0.0) (5.0 2.0 0.0) (1.0 6.0 0.0)))];
Result   : (surface3d (((0.0 0.0 0.0) (4.0 0.0 0.0) (2.0 4.0 1.0))))

Operator : minus
Number   : 2
Signature: volume3d x volume3d -> volume3d
Example  : query [const volume3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))] minus [const volume3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))];
Result   : (volume3d undefined)

Operator : intersection
Number   : 1
Signature: surface3d x surface3d -> surface3d
Example  : query intersection ([const surface3d value(((0.0 0.0 0.0) (4.0 0.0 0.0) (2.0 4.0 1.0)))] , [const surface3d value(((1.0 2.0 0.0) (5.0 2.0 0.0) (1.0 6.0 0.0)))]);
Result   : (surface3d ())

Operator : intersection
Number   : 2
Signature: volume3d x volume3d -> volume3d
Example  : query intersection ([const volume3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))] , [const volume3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))]);
Result   : (volume3d undefined)

Operator : components
Number   : 1
Signature: surface3d -> (stream (surface3d))
Example  : query components([const surface3d value(((0.0 0.0 0.0) (0.0 1.0 0.0) (1.0 1.0 0.0)) ((1.0 1.0 0.0) (0.0 1.0 0.0) (1.0 1.0 2.0)))]) count;
Result   : (int 1)

Operator : region2surface
Number   : 1
Signature: region -> surface3d
Example  : query region2surface([const rect value (-10.0 -9.0 10.0 11.0)] rect2region);
Result   : (surface3d (((-10.0 11.0 0.0) (-10.0 10.0 0.0) (-9.0 11.0 0.0)) ((-9.0 11.0 0.0) (-10.0 10.0 0.0) (-9.0 10.0 0.0))))

Operator : region2volume
Number   : 1
Signature: region -> volume3d
Example  : query bbox3d(region2volume([const rect value (-10.0 -9.0 10.0 11.0)] rect2region, 1.0));
Result   : (rect3 (-10.0 -9.0 10.0 11.0 0.0 1.0))

Operator : mregion2volume
Number   : 1
Signature: mregion -> volume3d
Example  : query bbox3d(mregion2volume([ const mregion value (((0.0 3.0 TRUE FALSE) ((((0.0 0.0 1.0 1.0) (2.0 0.0 3.0 1.0) (1.0 2.0 2.0 3.0)))))) ], 1.0));
Result   : (rect3 (0.0 3.0 0.0 3.0 0.0 3.0))

Operator : test
Number   : 1
Signature: int -> int
Example  : query test(0);
Result   : (int 1)

Operator : makePoint3D
Number   : 1
Signature : {int,real} x {int,real} x {int,real} -> point3d
Example   : query makePoint3D(1, 4.7, 16)
Result    : (point3d ( 1 4.7 16))