def curves2d_from_curves(): major, minor = 12, 4 axis = gp_OX2d() ellipse = GCE2d_MakeEllipse(axis, major, minor).Value() trimmed_curve = Geom2d_TrimmedCurve(ellipse, -1, 2, True) bspline = geom2dconvert_CurveToBSplineCurve(trimmed_curve, Convert_TgtThetaOver2) display.DisplayShape(bspline, update=True)
def test_curves2d_from_curves(self): '''Test: curves 2d from curves''' major, minor = 12, 4 axis = gp_OX2d() ell = GCE2d_MakeEllipse(axis, major, minor) E = ell.Value() TC = Geom2d_TrimmedCurve(E, -1, 2, True) SPL = geom2dconvert_CurveToBSplineCurve(TC, Convert_TgtThetaOver2)
def test_parabola(self): '''Test: parabola''' # P is the vertex point # P and D give the axis of symmetry # 6 is the focal length of the parabola P = gp_Pnt2d(2., 3.) D = gp_Dir2d(4., 5.) A = gp_Ax22d(P, D, True) Para = gp_Parab2d(A, 6) aParabola = GCE2d_MakeParabola(Para) gParabola = aParabola.Value() aTrimmedCurve = Geom2d_TrimmedCurve(gParabola, -100, 100, True)
def test_parabola(self): """Test: parabola""" # P is the vertex point # P and D give the axis of symmetry # 6 is the focal length of the parabola P = gp_Pnt2d(2.0, 3.0) D = gp_Dir2d(4.0, 5.0) A = gp_Ax22d(P, D, True) Para = gp_Parab2d(A, 6) aParabola = GCE2d_MakeParabola(Para) gParabola = aParabola.Value() self.assertIsInstance(gParabola, Geom2d_Parabola) aTrimmedCurve = Geom2d_TrimmedCurve(gParabola, -100, 100, True) self.assertIsNotNone(aTrimmedCurve) self.assertFalse(aTrimmedCurve is None)
def parabola(event=None): # P is the vertex point # P and D give the axis of symmetry # 6 is the focal length of the parabola a_pnt = gp_Pnt2d(2, 3) a_dir = gp_Dir2d(4, 5) an_ax = gp_Ax22d(a_pnt, a_dir, True) para = gp_Parab2d(an_ax, 6) display.DisplayShape(a_pnt) display.DisplayMessage(a_pnt, "P") aParabola = GCE2d_MakeParabola(para) gParabola = aParabola.Value() aTrimmedCurve = Geom2d_TrimmedCurve(gParabola, -100, 100, True) display.DisplayShape(aTrimmedCurve, update=True)
def startBottle(startOnly=True): # minus the neck fillet, shelling & threads partName = "Bottle-start" # The points we'll use to create the profile of the bottle's body aPnt1 = gp_Pnt(-width / 2.0, 0, 0) aPnt2 = gp_Pnt(-width / 2.0, -thickness / 4.0, 0) aPnt3 = gp_Pnt(0, -thickness / 2.0, 0) aPnt4 = gp_Pnt(width / 2.0, -thickness / 4.0, 0) aPnt5 = gp_Pnt(width / 2.0, 0, 0) aArcOfCircle = GC_MakeArcOfCircle(aPnt2, aPnt3, aPnt4) aSegment1 = GC_MakeSegment(aPnt1, aPnt2) aSegment2 = GC_MakeSegment(aPnt4, aPnt5) # Could also construct the line edges directly using the points # instead of the resulting line. aEdge1 = BRepBuilderAPI_MakeEdge(aSegment1.Value()) aEdge2 = BRepBuilderAPI_MakeEdge(aArcOfCircle.Value()) aEdge3 = BRepBuilderAPI_MakeEdge(aSegment2.Value()) # Create a wire out of the edges aWire = BRepBuilderAPI_MakeWire(aEdge1.Edge(), aEdge2.Edge(), aEdge3.Edge()) # Quick way to specify the X axis xAxis = gp_OX() # Set up the mirror aTrsf = gp_Trsf() aTrsf.SetMirror(xAxis) # Apply the mirror transformation aBRespTrsf = BRepBuilderAPI_Transform(aWire.Wire(), aTrsf) # Get the mirrored shape back out of the transformation # and convert back to a wire aMirroredShape = aBRespTrsf.Shape() # A wire instead of a generic shape now aMirroredWire = topods.Wire(aMirroredShape) # Combine the two constituent wires mkWire = BRepBuilderAPI_MakeWire() mkWire.Add(aWire.Wire()) mkWire.Add(aMirroredWire) myWireProfile = mkWire.Wire() # The face that we'll sweep to make the prism myFaceProfile = BRepBuilderAPI_MakeFace(myWireProfile) # We want to sweep the face along the Z axis to the height aPrismVec = gp_Vec(0, 0, height) myBody = BRepPrimAPI_MakePrism(myFaceProfile.Face(), aPrismVec) # Add fillets to all edges through the explorer mkFillet = BRepFilletAPI_MakeFillet(myBody.Shape()) anEdgeExplorer = TopExp_Explorer(myBody.Shape(), TopAbs_EDGE) while anEdgeExplorer.More(): anEdge = topods.Edge(anEdgeExplorer.Current()) mkFillet.Add(thickness / 12.0, anEdge) anEdgeExplorer.Next() myBody = mkFillet.Shape() # Create the neck of the bottle neckLocation = gp_Pnt(0, 0, height) neckAxis = gp_DZ() neckAx2 = gp_Ax2(neckLocation, neckAxis) myNeckRadius = thickness / 4.0 myNeckHeight = height / 10.0 mkCylinder = BRepPrimAPI_MakeCylinder(neckAx2, myNeckRadius, myNeckHeight) myBody = BRepAlgoAPI_Fuse(myBody, mkCylinder.Shape()) if startOnly: # quit here uid = win.getNewPartUID(myBody.Shape(), name=partName) win.redraw() return partName = "Bottle-complete" # Our goal is to find the highest Z face and remove it faceToRemove = None zMax = -1 # We have to work our way through all the faces to find the highest Z face aFaceExplorer = TopExp_Explorer(myBody.Shape(), TopAbs_FACE) while aFaceExplorer.More(): aFace = topods.Face(aFaceExplorer.Current()) if face_is_plane(aFace): aPlane = geom_plane_from_face(aFace) # We want the highest Z face, so compare this to the previous faces aPnt = aPlane.Location() aZ = aPnt.Z() if aZ > zMax: zMax = aZ faceToRemove = aFace aFaceExplorer.Next() facesToRemove = TopTools_ListOfShape() facesToRemove.Append(faceToRemove) myBody = BRepOffsetAPI_MakeThickSolid(myBody.Shape(), facesToRemove, -thickness / 50.0, 0.001) # Set up our surfaces for the threading on the neck neckAx2_Ax3 = gp_Ax3(neckLocation, gp_DZ()) aCyl1 = Geom_CylindricalSurface(neckAx2_Ax3, myNeckRadius * 0.99) aCyl2 = Geom_CylindricalSurface(neckAx2_Ax3, myNeckRadius * 1.05) # Set up the curves for the threads on the bottle's neck aPnt = gp_Pnt2d(2.0 * math.pi, myNeckHeight / 2.0) aDir = gp_Dir2d(2.0 * math.pi, myNeckHeight / 4.0) anAx2d = gp_Ax2d(aPnt, aDir) aMajor = 2.0 * math.pi aMinor = myNeckHeight / 10.0 anEllipse1 = Geom2d_Ellipse(anAx2d, aMajor, aMinor) anEllipse2 = Geom2d_Ellipse(anAx2d, aMajor, aMinor / 4.0) anArc1 = Geom2d_TrimmedCurve(anEllipse1, 0, math.pi) anArc2 = Geom2d_TrimmedCurve(anEllipse2, 0, math.pi) anEllipsePnt1 = anEllipse1.Value(0) anEllipsePnt2 = anEllipse1.Value(math.pi) aSegment = GCE2d_MakeSegment(anEllipsePnt1, anEllipsePnt2) # Build edges and wires for threading anEdge1OnSurf1 = BRepBuilderAPI_MakeEdge(anArc1, aCyl1) anEdge2OnSurf1 = BRepBuilderAPI_MakeEdge(aSegment.Value(), aCyl1) anEdge1OnSurf2 = BRepBuilderAPI_MakeEdge(anArc2, aCyl2) anEdge2OnSurf2 = BRepBuilderAPI_MakeEdge(aSegment.Value(), aCyl2) threadingWire1 = BRepBuilderAPI_MakeWire(anEdge1OnSurf1.Edge(), anEdge2OnSurf1.Edge()) threadingWire2 = BRepBuilderAPI_MakeWire(anEdge1OnSurf2.Edge(), anEdge2OnSurf2.Edge()) # Compute the 3D representations of the edges/wires breplib.BuildCurves3d(threadingWire1.Shape()) breplib.BuildCurves3d(threadingWire2.Shape()) # Create the surfaces of the threading aTool = BRepOffsetAPI_ThruSections(True) aTool.AddWire(threadingWire1.Wire()) aTool.AddWire(threadingWire2.Wire()) aTool.CheckCompatibility(False) myThreading = aTool.Shape() # Build the resulting compound aRes = TopoDS_Compound() aBuilder = BRep_Builder() aBuilder.MakeCompound(aRes) aBuilder.Add(aRes, myBody.Shape()) aBuilder.Add(aRes, myThreading) uid = win.getNewPartUID(aRes, name=partName) win.redraw()
neckAx2_Ax3 = gp_Ax3(neckLocation, gp_DZ()) aCyl1 = Geom_CylindricalSurface(neckAx2_Ax3, myNeckRadius * 0.99) aCyl2 = Geom_CylindricalSurface(neckAx2_Ax3, myNeckRadius * 1.05) # Set up the curves for the threads on the bottle's neck aPnt = gp_Pnt2d(2.0 * math.pi, myNeckHeight / 2.0) aDir = gp_Dir2d(2.0 * math.pi, myNeckHeight / 4.0) anAx2d = gp_Ax2d(aPnt, aDir) aMajor = 2.0 * math.pi aMinor = myNeckHeight / 10.0 anEllipse1 = Geom2d_Ellipse(anAx2d, aMajor, aMinor) anEllipse2 = Geom2d_Ellipse(anAx2d, aMajor, aMinor / 4.0) anArc1 = Geom2d_TrimmedCurve(anEllipse1, 0, math.pi) anArc2 = Geom2d_TrimmedCurve(anEllipse2, 0, math.pi) anEllipsePnt1 = anEllipse1.Value(0) anEllipsePnt2 = anEllipse1.Value(math.pi) aSegment = GCE2d_MakeSegment(anEllipsePnt1, anEllipsePnt2) # Build edges and wires for threading anEdge1OnSurf1 = BRepBuilderAPI_MakeEdge(anArc1, aCyl1) anEdge2OnSurf1 = BRepBuilderAPI_MakeEdge(aSegment.Value(), aCyl1) anEdge1OnSurf2 = BRepBuilderAPI_MakeEdge(anArc2, aCyl2) anEdge2OnSurf2 = BRepBuilderAPI_MakeEdge(aSegment.Value(), aCyl2) threadingWire1 = BRepBuilderAPI_MakeWire(anEdge1OnSurf1.Edge(), anEdge2OnSurf1.Edge())
def build_tooth(): base_center = gp_Pnt2d(pitch_circle_radius + (tooth_radius - roller_radius), 0) base_circle = gp_Circ2d(gp_Ax2d(base_center, gp_Dir2d()), tooth_radius) trimmed_base = GCE2d_MakeArcOfCircle(base_circle, M_PI - (roller_contact_angle / 2.), M_PI).Value() trimmed_base.Reverse() # just a trick p0 = trimmed_base.StartPoint() p1 = trimmed_base.EndPoint() # Determine the center of the profile circle x_distance = cos(roller_contact_angle / 2.) * (profile_radius + tooth_radius) y_distance = sin(roller_contact_angle / 2.) * (profile_radius + tooth_radius) profile_center = gp_Pnt2d(pitch_circle_radius - x_distance, y_distance) # Construct the profile circle gp_Circ2d profile_circle = gp_Circ2d(gp_Ax2d(profile_center, gp_Dir2d()), profile_center.Distance(p1)) geom_profile_circle = GCE2d_MakeCircle(profile_circle).Value() # Construct the outer circle gp_Circ2d outer_circle = gp_Circ2d(gp_Ax2d(gp_Pnt2d(0, 0), gp_Dir2d()), top_radius) geom_outer_circle = GCE2d_MakeCircle(outer_circle).Value() inter = Geom2dAPI_InterCurveCurve(geom_profile_circle, geom_outer_circle) num_points = inter.NbPoints() assert isinstance(p1, gp_Pnt2d) if num_points == 2: if p1.Distance(inter.Point(1)) < p1.Distance(inter.Point(2)): p2 = inter.Point(1) else: p2 = inter.Point(2) elif num_points == 1: p2 = inter.Point(1) else: sys.exit(-1) # Trim the profile circle and mirror trimmed_profile = GCE2d_MakeArcOfCircle(profile_circle, p1, p2).Value() # Calculate the outermost point p3 = gp_Pnt2d(cos(tooth_angle / 2.) * top_radius, sin(tooth_angle / 2.) * top_radius) # and use it to create the third arc trimmed_outer = GCE2d_MakeArcOfCircle(outer_circle, p2, p3).Value() # Mirror and reverse the three arcs mirror_axis = gp_Ax2d(gp_Origin2d(), gp_DX2d().Rotated(tooth_angle / 2.)) mirror_base = Geom2d_TrimmedCurve.DownCast(trimmed_base.Copy()) mirror_profile = Geom2d_TrimmedCurve.DownCast(trimmed_profile.Copy()) mirror_outer = Geom2d_TrimmedCurve.DownCast(trimmed_outer.Copy()) mirror_base.Mirror(mirror_axis) mirror_profile.Mirror(mirror_axis) mirror_outer.Mirror(mirror_axis) mirror_base.Reverse() mirror_profile.Reverse() mirror_outer.Reverse() # Replace the two outer arcs with a single one outer_start = trimmed_outer.StartPoint() outer_mid = trimmed_outer.EndPoint() outer_end = mirror_outer.EndPoint() outer_arc = GCE2d_MakeArcOfCircle(outer_start, outer_mid, outer_end).Value() # Create an arc for the inside of the wedge inner_circle = gp_Circ2d(gp_Ax2d(gp_Pnt2d(0, 0), gp_Dir2d()), top_radius - roller_diameter) inner_start = gp_Pnt2d(top_radius - roller_diameter, 0) inner_arc = GCE2d_MakeArcOfCircle(inner_circle, inner_start, tooth_angle).Value() inner_arc.Reverse() # Convert the 2D arcs and two extra lines to 3D edges plane = gp_Pln(gp_Origin(), gp_DZ()) arc1 = BRepBuilderAPI_MakeEdge(geomapi_To3d(trimmed_base, plane)).Edge() arc2 = BRepBuilderAPI_MakeEdge(geomapi_To3d(trimmed_profile, plane)).Edge() arc3 = BRepBuilderAPI_MakeEdge(geomapi_To3d(outer_arc, plane)).Edge() arc4 = BRepBuilderAPI_MakeEdge(geomapi_To3d(mirror_profile, plane)).Edge() arc5 = BRepBuilderAPI_MakeEdge(geomapi_To3d(mirror_base, plane)).Edge() p4 = mirror_base.EndPoint() p5 = inner_arc.StartPoint() lin1 = BRepBuilderAPI_MakeEdge(gp_Pnt(p4.X(), p4.Y(), 0), gp_Pnt(p5.X(), p5.Y(), 0)).Edge() arc6 = BRepBuilderAPI_MakeEdge(geomapi_To3d(inner_arc, plane)).Edge() p6 = inner_arc.EndPoint() lin2 = BRepBuilderAPI_MakeEdge(gp_Pnt(p6.X(), p6.Y(), 0), gp_Pnt(p0.X(), p0.Y(), 0)).Edge() wire = BRepBuilderAPI_MakeWire(arc1) wire.Add(arc2) wire.Add(arc3) wire.Add(arc4) wire.Add(arc5) wire.Add(lin1) wire.Add(arc6) wire.Add(lin2) face = BRepBuilderAPI_MakeFace(wire.Wire()) wedge = BRepPrimAPI_MakePrism(face.Shape(), gp_Vec(0.0, 0.0, thickness)) return wedge.Shape()
neckAx2_Ax3 = gp_Ax3(neckLocation, gp_DZ()) aCyl1 = Geom_CylindricalSurface(neckAx2_Ax3, myNeckRadius * 0.99) aCyl2 = Geom_CylindricalSurface(neckAx2_Ax3, myNeckRadius * 1.05) # Set up the curves for the threads on the bottle's neck aPnt = gp_Pnt2d(2.0 * math.pi, myNeckHeight / 2.0) aDir = gp_Dir2d(2.0 * math.pi, myNeckHeight / 4.0) anAx2d = gp_Ax2d(aPnt, aDir) aMajor = 2.0 * math.pi aMinor = myNeckHeight / 10.0 anEllipse1 = Geom2d_Ellipse(anAx2d, aMajor, aMinor) anEllipse2 = Geom2d_Ellipse(anAx2d, aMajor, aMinor / 4.0) anArc1 = Geom2d_TrimmedCurve(Handle_Geom2d_Ellipse(anEllipse1), 0, math.pi) anArc2 = Geom2d_TrimmedCurve(Handle_Geom2d_Ellipse(anEllipse2), 0, math.pi) anEllipsePnt1 = anEllipse1.Value(0) anEllipsePnt2 = anEllipse1.Value(math.pi) aSegment = GCE2d_MakeSegment(anEllipsePnt1, anEllipsePnt2) # Build edges and wires for threading anEdge1OnSurf1 = BRepBuilderAPI_MakeEdge(Handle_Geom2d_Curve(anArc1), Handle_Geom_Surface(aCyl1)) anEdge2OnSurf1 = BRepBuilderAPI_MakeEdge(aSegment.Value(), Handle_Geom_Surface(aCyl1)) anEdge1OnSurf2 = BRepBuilderAPI_MakeEdge(Handle_Geom2d_Curve(anArc2), Handle_Geom_Surface(aCyl2)) anEdge2OnSurf2 = BRepBuilderAPI_MakeEdge(aSegment.Value(),
def _trimmed_curve2(crv, a, b): return Curve2(Geom2d_TrimmedCurve(crv.Curve2(), a, b))