void Revolution::updateAxis(void)
{
Part::Part2DObject* sketch = getVerifiedSketch();
Base::Placement SketchPlm = sketch->Placement.getValue();
// get reference axis
App::DocumentObject *pcReferenceAxis = ReferenceAxis.getValue();
const std::vector<std::string> &subReferenceAxis = ReferenceAxis.getSubValues();
if (pcReferenceAxis && pcReferenceAxis == sketch) {
bool hasValidAxis=false;
Base::Axis axis;
if (subReferenceAxis[0] == "V_Axis") {
hasValidAxis = true;
axis = sketch->getAxis(Part::Part2DObject::V_Axis);
}
else if (subReferenceAxis[0] == "H_Axis") {
hasValidAxis = true;
axis = sketch->getAxis(Part::Part2DObject::H_Axis);
}
else if (subReferenceAxis[0].size() > 4 && subReferenceAxis[0].substr(0,4) == "Axis") {
int AxId = std::atoi(subReferenceAxis[0].substr(4,4000).c_str());
if (AxId >= 0 && AxId < sketch->getAxisCount()) {
hasValidAxis = true;
axis = sketch->getAxis(AxId);
}
}
if (hasValidAxis) {
axis *= SketchPlm;
Base::Vector3d base=axis.getBase();
Base::Vector3d dir=axis.getDirection();
Base.setValue(base.x,base.y,base.z);
Axis.setValue(dir.x,dir.y,dir.z);
}
}
}
void ProfileBased::getAxis(const App::DocumentObject *pcReferenceAxis, const std::vector<std::string> &subReferenceAxis,
Base::Vector3d& base, Base::Vector3d& dir)
{
dir = Base::Vector3d(0,0,0); // If unchanged signals that no valid axis was found
if (pcReferenceAxis == NULL)
return;
App::DocumentObject* profile = Profile.getValue();
gp_Pln sketchplane;
if (profile->getTypeId().isDerivedFrom(Part::Part2DObject::getClassTypeId())) {
Part::Part2DObject* sketch = getVerifiedSketch();
Base::Placement SketchPlm = sketch->Placement.getValue();
Base::Vector3d SketchVector = Base::Vector3d(0, 0, 1);
Base::Rotation SketchOrientation = SketchPlm.getRotation();
SketchOrientation.multVec(SketchVector, SketchVector);
Base::Vector3d SketchPos = SketchPlm.getPosition();
sketchplane = gp_Pln(gp_Pnt(SketchPos.x, SketchPos.y, SketchPos.z), gp_Dir(SketchVector.x, SketchVector.y, SketchVector.z));
if (pcReferenceAxis == profile) {
bool hasValidAxis = false;
Base::Axis axis;
if (subReferenceAxis[0] == "V_Axis") {
hasValidAxis = true;
axis = sketch->getAxis(Part::Part2DObject::V_Axis);
}
else if (subReferenceAxis[0] == "H_Axis") {
hasValidAxis = true;
axis = sketch->getAxis(Part::Part2DObject::H_Axis);
}
else if (subReferenceAxis[0].size() > 4 && subReferenceAxis[0].substr(0, 4) == "Axis") {
int AxId = std::atoi(subReferenceAxis[0].substr(4, 4000).c_str());
if (AxId >= 0 && AxId < sketch->getAxisCount()) {
hasValidAxis = true;
axis = sketch->getAxis(AxId);
}
}
if (hasValidAxis) {
axis *= SketchPlm;
base = axis.getBase();
dir = axis.getDirection();
return;
} //else - an edge of the sketch was selected as an axis
}
}
else if (profile->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId())) {
Base::Placement SketchPlm = getVerifiedObject()->Placement.getValue();
Base::Vector3d SketchVector = getProfileNormal();
Base::Vector3d SketchPos = SketchPlm.getPosition();
sketchplane = gp_Pln(gp_Pnt(SketchPos.x, SketchPos.y, SketchPos.z), gp_Dir(SketchVector.x, SketchVector.y, SketchVector.z));
}
// get reference axis
if (pcReferenceAxis->getTypeId().isDerivedFrom(PartDesign::Line::getClassTypeId())) {
const PartDesign::Line* line = static_cast<const PartDesign::Line*>(pcReferenceAxis);
base = line->getBasePoint();
dir = line->getDirection();
// Check that axis is perpendicular with sketch plane!
if (sketchplane.Axis().Direction().IsParallel(gp_Dir(dir.x, dir.y, dir.z), Precision::Angular()))
throw Base::ValueError("Rotation axis must not be perpendicular with the sketch plane");
return;
}
if (pcReferenceAxis->getTypeId().isDerivedFrom(App::Line::getClassTypeId())) {
const App::Line* line = static_cast<const App::Line*>(pcReferenceAxis);
base = Base::Vector3d(0,0,0);
line->Placement.getValue().multVec(Base::Vector3d (1,0,0), dir);
// Check that axis is perpendicular with sketch plane!
if (sketchplane.Axis().Direction().IsParallel(gp_Dir(dir.x, dir.y, dir.z), Precision::Angular()))
throw Base::ValueError("Rotation axis must not be perpendicular with the sketch plane");
return;
}
if (pcReferenceAxis->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId())) {
if (subReferenceAxis.empty())
throw Base::ValueError("No rotation axis reference specified");
const Part::Feature* refFeature = static_cast<const Part::Feature*>(pcReferenceAxis);
Part::TopoShape refShape = refFeature->Shape.getShape();
TopoDS_Shape ref = refShape.getSubShape(subReferenceAxis[0].c_str());
if (ref.ShapeType() == TopAbs_EDGE) {
TopoDS_Edge refEdge = TopoDS::Edge(ref);
if (refEdge.IsNull())
throw Base::ValueError("Failed to extract rotation edge");
BRepAdaptor_Curve adapt(refEdge);
if (adapt.GetType() != GeomAbs_Line)
throw Base::TypeError("Rotation edge must be a straight line");
gp_Pnt b = adapt.Line().Location();
base = Base::Vector3d(b.X(), b.Y(), b.Z());
gp_Dir d = adapt.Line().Direction();
dir = Base::Vector3d(d.X(), d.Y(), d.Z());
// Check that axis is co-planar with sketch plane!
// Check that axis is perpendicular with sketch plane!
if (sketchplane.Axis().Direction().IsParallel(d, Precision::Angular()))
throw Base::ValueError("Rotation axis must not be perpendicular with the sketch plane");
return;
} else {
throw Base::TypeError("Rotation reference must be an edge");
}
}
throw Base::TypeError("Rotation axis reference is invalid");
}
App::DocumentObjectExecReturn *Revolution::execute(void)
{
App::DocumentObject* link = Sketch.getValue();
if (!link)
return new App::DocumentObjectExecReturn("No sketch linked");
if (!link->getTypeId().isDerivedFrom(Part::Part2DObject::getClassTypeId()))
return new App::DocumentObjectExecReturn("Linked object is not a Sketch or Part2DObject");
Part::Part2DObject* pcSketch=static_cast<Part::Part2DObject*>(link);
TopoDS_Shape shape = pcSketch->Shape.getShape()._Shape;
if (shape.IsNull())
return new App::DocumentObjectExecReturn("Linked shape object is empty");
// this is a workaround for an obscure OCC bug which leads to empty tessellations
// for some faces. Making an explicit copy of the linked shape seems to fix it.
// The error only happens when re-computing the shape.
if (!this->Shape.getValue().IsNull()) {
BRepBuilderAPI_Copy copy(shape);
shape = copy.Shape();
if (shape.IsNull())
return new App::DocumentObjectExecReturn("Linked shape object is empty");
}
TopExp_Explorer ex;
std::vector<TopoDS_Wire> wires;
for (ex.Init(shape, TopAbs_WIRE); ex.More(); ex.Next()) {
wires.push_back(TopoDS::Wire(ex.Current()));
}
if (wires.empty()) // there can be several wires
return new App::DocumentObjectExecReturn("Linked shape object is not a wire");
// get the Sketch plane
Base::Placement SketchPlm = pcSketch->Placement.getValue();
// get reference axis
App::DocumentObject *pcReferenceAxis = ReferenceAxis.getValue();
const std::vector<std::string> &subReferenceAxis = ReferenceAxis.getSubValues();
if (pcReferenceAxis && pcReferenceAxis == pcSketch) {
bool hasValidAxis=false;
Base::Axis axis;
if (subReferenceAxis[0] == "V_Axis") {
hasValidAxis = true;
axis = pcSketch->getAxis(Part::Part2DObject::V_Axis);
}
else if (subReferenceAxis[0] == "H_Axis") {
hasValidAxis = true;
axis = pcSketch->getAxis(Part::Part2DObject::H_Axis);
}
else if (subReferenceAxis[0].size() > 4 && subReferenceAxis[0].substr(0,4) == "Axis") {
int AxId = std::atoi(subReferenceAxis[0].substr(4,4000).c_str());
if (AxId >= 0 && AxId < pcSketch->getAxisCount()) {
hasValidAxis = true;
axis = pcSketch->getAxis(AxId);
}
}
if (hasValidAxis) {
axis *= SketchPlm;
Base::Vector3d base=axis.getBase();
Base::Vector3d dir=axis.getDirection();
Base.setValue(base.x,base.y,base.z);
Axis.setValue(dir.x,dir.y,dir.z);
}
}
// get revolve axis
Base::Vector3f b = Base.getValue();
gp_Pnt pnt(b.x,b.y,b.z);
Base::Vector3f v = Axis.getValue();
gp_Dir dir(v.x,v.y,v.z);
// get the support of the Sketch if any
App::DocumentObject* pcSupport = pcSketch->Support.getValue();
Part::Feature *SupportObject = 0;
if (pcSupport && pcSupport->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId()))
SupportObject = static_cast<Part::Feature*>(pcSupport);
TopoDS_Shape aFace = makeFace(wires);
if (aFace.IsNull())
return new App::DocumentObjectExecReturn("Creating a face from sketch failed");
// Rotate the face by half the angle to get revolution symmetric to sketch plane
if (Midplane.getValue()) {
gp_Trsf mov;
mov.SetRotation(gp_Ax1(pnt, dir), Base::toRadians<double>(Angle.getValue()) * (-1.0) / 2.0);
TopLoc_Location loc(mov);
aFace.Move(loc);
}
this->positionBySketch();
TopLoc_Location invObjLoc = this->getLocation().Inverted();
pnt.Transform(invObjLoc.Transformation());
dir.Transform(invObjLoc.Transformation());
// Reverse angle if selected
double angle = Base::toRadians<double>(Angle.getValue());
if (Reversed.getValue() && !Midplane.getValue())
angle *= (-1.0);
try {
// revolve the face to a solid
BRepPrimAPI_MakeRevol RevolMaker(aFace.Moved(invObjLoc), gp_Ax1(pnt, dir), angle);
if (RevolMaker.IsDone()) {
TopoDS_Shape result = RevolMaker.Shape();
// if the sketch has a support fuse them to get one result object (PAD!)
if (SupportObject) {
const TopoDS_Shape& support = SupportObject->Shape.getValue();
if (!support.IsNull() && support.ShapeType() == TopAbs_SOLID) {
// set the additive shape property for later usage in e.g. pattern
this->AddShape.setValue(result);
// Let's call algorithm computing a fuse operation:
BRepAlgoAPI_Fuse mkFuse(support.Moved(invObjLoc), result);
// Let's check if the fusion has been successful
if (!mkFuse.IsDone())
throw Base::Exception("Fusion with support failed");
result = mkFuse.Shape();
}
}
this->Shape.setValue(result);
}
else
return new App::DocumentObjectExecReturn("Could not revolve the sketch!");
return App::DocumentObject::StdReturn;
}
catch (Standard_Failure) {
Handle_Standard_Failure e = Standard_Failure::Caught();
return new App::DocumentObjectExecReturn(e->GetMessageString());
}
}
const std::list<gp_Trsf> PolarPattern::getTransformations(const std::vector<App::DocumentObject*>)
{
float angle = Angle.getValue();
if (angle < Precision::Confusion())
throw Base::Exception("Pattern angle too small");
int occurrences = Occurrences.getValue();
if (occurrences < 2)
throw Base::Exception("At least two occurrences required");
bool reversed = Reversed.getValue();
double offset;
if (std::abs(angle - 360.0) < Precision::Confusion())
offset = Base::toRadians<double>(angle) / occurrences; // Because e.g. two occurrences in 360 degrees need to be 180 degrees apart
else
offset = Base::toRadians<double>(angle) / (occurrences - 1);
App::DocumentObject* refObject = Axis.getValue();
if (refObject == NULL)
throw Base::Exception("No axis reference specified");
if (!refObject->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId()))
throw Base::Exception("Axis reference must be edge of a feature");
std::vector<std::string> subStrings = Axis.getSubValues();
if (subStrings.empty() || subStrings[0].empty())
throw Base::Exception("No axis reference specified");
gp_Pnt axbase;
gp_Dir axdir;
if (refObject->getTypeId().isDerivedFrom(Part::Part2DObject::getClassTypeId())) {
Part::Part2DObject* refSketch = static_cast<Part::Part2DObject*>(refObject);
Base::Axis axis;
if (subStrings[0] == "H_Axis")
axis = refSketch->getAxis(Part::Part2DObject::H_Axis);
else if (subStrings[0] == "V_Axis")
axis = refSketch->getAxis(Part::Part2DObject::V_Axis);
else if (subStrings[0] == "N_Axis")
axis = refSketch->getAxis(Part::Part2DObject::N_Axis);
else if (subStrings[0].size() > 4 && subStrings[0].substr(0,4) == "Axis") {
int AxId = std::atoi(subStrings[0].substr(4,4000).c_str());
if (AxId >= 0 && AxId < refSketch->getAxisCount())
axis = refSketch->getAxis(AxId);
}
axis *= refSketch->Placement.getValue();
axbase = gp_Pnt(axis.getBase().x, axis.getBase().y, axis.getBase().z);
axdir = gp_Dir(axis.getDirection().x, axis.getDirection().y, axis.getDirection().z);
} else {
Part::Feature* refFeature = static_cast<Part::Feature*>(refObject);
Part::TopoShape refShape = refFeature->Shape.getShape();
TopoDS_Shape ref = refShape.getSubShape(subStrings[0].c_str());
if (ref.ShapeType() == TopAbs_EDGE) {
TopoDS_Edge refEdge = TopoDS::Edge(ref);
if (refEdge.IsNull())
throw Base::Exception("Failed to extract axis edge");
BRepAdaptor_Curve adapt(refEdge);
if (adapt.GetType() != GeomAbs_Line)
throw Base::Exception("Axis edge must be a straight line");
axbase = adapt.Value(adapt.FirstParameter());
axdir = adapt.Line().Direction();
} else {
throw Base::Exception("Axis reference must be an edge");
}
}
TopLoc_Location invObjLoc = this->getLocation().Inverted();
axbase.Transform(invObjLoc.Transformation());
axdir.Transform(invObjLoc.Transformation());
gp_Ax2 axis(axbase, axdir);
if (reversed)
axis.SetDirection(axis.Direction().Reversed());
// Note: The original feature is NOT included in the list of transformations! Therefore
// we start with occurrence number 1, not number 0
std::list<gp_Trsf> transformations;
gp_Trsf trans;
transformations.push_back(trans); // identity transformation
for (int i = 1; i < occurrences; i++) {
trans.SetRotation(axis.Axis(), i * offset);
transformations.push_back(trans);
}
return transformations;
}
App::DocumentObjectExecReturn *Groove::execute(void)
{
// Validate parameters
double angle = Angle.getValue();
if (angle < Precision::Confusion())
return new App::DocumentObjectExecReturn("Angle of groove too small");
if (angle > 360.0)
return new App::DocumentObjectExecReturn("Angle of groove too large");
angle = Base::toRadians<double>(angle);
// Reverse angle if selected
if (Reversed.getValue() && !Midplane.getValue())
angle *= (-1.0);
Part::Part2DObject* sketch = 0;
std::vector<TopoDS_Wire> wires;
TopoDS_Shape support;
try {
sketch = getVerifiedSketch();
wires = getSketchWires();
support = getSupportShape();
} catch (const Base::Exception& e) {
return new App::DocumentObjectExecReturn(e.what());
}
// get the Sketch plane
Base::Placement SketchPlm = sketch->Placement.getValue();
// get reference axis
App::DocumentObject *pcReferenceAxis = ReferenceAxis.getValue();
const std::vector<std::string> &subReferenceAxis = ReferenceAxis.getSubValues();
if (pcReferenceAxis && pcReferenceAxis == sketch) {
bool hasValidAxis=false;
Base::Axis axis;
if (subReferenceAxis[0] == "V_Axis") {
hasValidAxis = true;
axis = sketch->getAxis(Part::Part2DObject::V_Axis);
}
else if (subReferenceAxis[0] == "H_Axis") {
hasValidAxis = true;
axis = sketch->getAxis(Part::Part2DObject::H_Axis);
}
else if (subReferenceAxis[0].size() > 4 && subReferenceAxis[0].substr(0,4) == "Axis") {
int AxId = std::atoi(subReferenceAxis[0].substr(4,4000).c_str());
if (AxId >= 0 && AxId < sketch->getAxisCount()) {
hasValidAxis = true;
axis = sketch->getAxis(AxId);
}
}
if (hasValidAxis) {
axis *= SketchPlm;
Base::Vector3d base=axis.getBase();
Base::Vector3d dir=axis.getDirection();
Base.setValue(base.x,base.y,base.z);
Axis.setValue(dir.x,dir.y,dir.z);
}
}
// get revolve axis
Base::Vector3f b = Base.getValue();
gp_Pnt pnt(b.x,b.y,b.z);
Base::Vector3f v = Axis.getValue();
gp_Dir dir(v.x,v.y,v.z);
try {
TopoDS_Shape sketchshape = makeFace(wires);
if (sketchshape.IsNull())
return new App::DocumentObjectExecReturn("Creating a face from sketch failed");
// Rotate the face by half the angle to get Groove symmetric to sketch plane
if (Midplane.getValue()) {
gp_Trsf mov;
mov.SetRotation(gp_Ax1(pnt, dir), Base::toRadians<double>(Angle.getValue()) * (-1.0) / 2.0);
TopLoc_Location loc(mov);
sketchshape.Move(loc);
}
this->positionBySketch();
TopLoc_Location invObjLoc = this->getLocation().Inverted();
pnt.Transform(invObjLoc.Transformation());
dir.Transform(invObjLoc.Transformation());
support.Move(invObjLoc);
sketchshape.Move(invObjLoc);
// Check distance between sketchshape and axis - to avoid failures and crashes
if (checkLineCrossesFace(gp_Lin(pnt, dir), TopoDS::Face(sketchshape)))
return new App::DocumentObjectExecReturn("Revolve axis intersects the sketch");
// revolve the face to a solid
BRepPrimAPI_MakeRevol RevolMaker(sketchshape, gp_Ax1(pnt, dir), angle);
if (RevolMaker.IsDone()) {
TopoDS_Shape result = RevolMaker.Shape();
// set the subtractive shape property for later usage in e.g. pattern
this->SubShape.setValue(result);
// cut out groove to get one result object
BRepAlgoAPI_Cut mkCut(support, result);
// Let's check if the fusion has been successful
if (!mkCut.IsDone())
throw Base::Exception("Cut out of support failed");
// we have to get the solids (fuse sometimes creates compounds)
TopoDS_Shape solRes = this->getSolid(mkCut.Shape());
if (solRes.IsNull())
return new App::DocumentObjectExecReturn("Resulting shape is not a solid");
this->Shape.setValue(solRes);
}
else
return new App::DocumentObjectExecReturn("Could not revolve the sketch!");
return App::DocumentObject::StdReturn;
}
catch (Standard_Failure) {
Handle_Standard_Failure e = Standard_Failure::Caught();
if (std::string(e->GetMessageString()) == "TopoDS::Face")
return new App::DocumentObjectExecReturn("Could not create face from sketch.\n"
"Intersecting sketch entities or multiple faces in a sketch are not allowed.");
else
return new App::DocumentObjectExecReturn(e->GetMessageString());
}
catch (Base::Exception& e) {
return new App::DocumentObjectExecReturn(e.what());
}
}
const std::list<gp_Trsf> LinearPattern::getTransformations(const std::vector<App::DocumentObject*>)
{
double distance = Length.getValue();
if (distance < Precision::Confusion())
throw Base::Exception("Pattern length too small");
int occurrences = Occurrences.getValue();
if (occurrences < 2)
throw Base::Exception("At least two occurrences required");
bool reversed = Reversed.getValue();
double offset = distance / (occurrences - 1);
App::DocumentObject* refObject = Direction.getValue();
if (refObject == NULL)
throw Base::Exception("No direction reference specified");
std::vector<std::string> subStrings = Direction.getSubValues();
if (subStrings.empty())
throw Base::Exception("No direction reference specified");
gp_Dir dir;
if (refObject->getTypeId().isDerivedFrom(Part::Part2DObject::getClassTypeId())) {
Part::Part2DObject* refSketch = static_cast<Part::Part2DObject*>(refObject);
Base::Axis axis;
if (subStrings[0] == "H_Axis")
axis = refSketch->getAxis(Part::Part2DObject::H_Axis);
else if (subStrings[0] == "V_Axis")
axis = refSketch->getAxis(Part::Part2DObject::V_Axis);
else if (subStrings[0] == "N_Axis")
axis = refSketch->getAxis(Part::Part2DObject::N_Axis);
else if (subStrings[0].size() > 4 && subStrings[0].substr(0,4) == "Axis") {
int AxId = std::atoi(subStrings[0].substr(4,4000).c_str());
if (AxId >= 0 && AxId < refSketch->getAxisCount())
axis = refSketch->getAxis(AxId);
}
axis *= refSketch->Placement.getValue();
dir = gp_Dir(axis.getDirection().x, axis.getDirection().y, axis.getDirection().z);
} else if (refObject->getTypeId().isDerivedFrom(PartDesign::Plane::getClassTypeId())) {
PartDesign::Plane* plane = static_cast<PartDesign::Plane*>(refObject);
Base::Vector3d d = plane->getNormal();
dir = gp_Dir(d.x, d.y, d.z);
} else if (refObject->getTypeId().isDerivedFrom(PartDesign::Line::getClassTypeId())) {
PartDesign::Line* line = static_cast<PartDesign::Line*>(refObject);
Base::Vector3d d = line->getDirection();
dir = gp_Dir(d.x, d.y, d.z);
} else if (refObject->getTypeId().isDerivedFrom(App::Line::getClassTypeId())) {
App::Line* line = static_cast<App::Line*>(refObject);
Base::Rotation rot = line->Placement.getValue().getRotation();
Base::Vector3d d(1,0,0);
rot.multVec(d, d);
dir = gp_Dir(d.x, d.y, d.z);
} else if (refObject->getTypeId().isDerivedFrom(Part::Feature::getClassTypeId())) {
if (subStrings[0].empty())
throw Base::Exception("No direction reference specified");
Part::Feature* refFeature = static_cast<Part::Feature*>(refObject);
Part::TopoShape refShape = refFeature->Shape.getShape();
TopoDS_Shape ref = refShape.getSubShape(subStrings[0].c_str());
if (ref.ShapeType() == TopAbs_FACE) {
TopoDS_Face refFace = TopoDS::Face(ref);
if (refFace.IsNull())
throw Base::Exception("Failed to extract direction plane");
BRepAdaptor_Surface adapt(refFace);
if (adapt.GetType() != GeomAbs_Plane)
throw Base::Exception("Direction face must be planar");
dir = adapt.Plane().Axis().Direction();
} else if (ref.ShapeType() == TopAbs_EDGE) {
TopoDS_Edge refEdge = TopoDS::Edge(ref);
if (refEdge.IsNull())
throw Base::Exception("Failed to extract direction edge");
BRepAdaptor_Curve adapt(refEdge);
if (adapt.GetType() != GeomAbs_Line)
throw Base::Exception("Direction edge must be a straight line");
dir = adapt.Line().Direction();
} else {
throw Base::Exception("Direction reference must be edge or face");
}
} else {
throw Base::Exception("Direction reference must be edge/face of a feature or a datum line/plane");
}
TopLoc_Location invObjLoc = this->getLocation().Inverted();
dir.Transform(invObjLoc.Transformation());
gp_Vec direction(dir.X(), dir.Y(), dir.Z());
if (reversed)
direction.Reverse();
// Note: The original feature is NOT included in the list of transformations! Therefore
// we start with occurrence number 1, not number 0
std::list<gp_Trsf> transformations;
gp_Trsf trans;
transformations.push_back(trans); // identity transformation
for (int i = 1; i < occurrences; i++) {
trans.SetTranslation(direction * i * offset);
transformations.push_back(trans);
}
return transformations;
}