Abstract: Systems, methods, and computer program products for identifying under-defined geometries due to singular constraint schemes. A method includes receiving a CAD model having a plurality of geometries and determining the degrees of freedom for each of the geometries. The method includes identifying a number of constraints on each of the geometries and identifying any of the geometries that are under-defined and any of the geometries that are well-defined. The method includes identifying any of the under-defined geometries that are under-defined due to singular (UDS) and storing a UDS indicator for each of the geometries identified as UDS. The method can include identifying geometries computed from these UDS geometries (CFS) and storing a CFS indicator for each of the geometries identified as CFS.

Abstract: In general, techniques are described for interworking between Ethernet organization, administration, and maintenance (OAM) frames and Asynchronous Transfer Mode (ATM) ATM OAM cells. For example, an access node in an Ethernet and ATM network may implement the techniques. The access node comprises an Ethernet interface that receives an Ethernet OAM Loopback frame from a device within an Ethernet network. The access node includes a control unit that constructs an ATM OAM End-to-End Loopback cell from the Ethernet OAM Loopback frame, and an ATM interface that transmits the ATM OAM End-to-End Loopback cell from the access node towards a virtual circuit connected to a subscriber device to verify connectivity from the originating device within the Ethernet network to the subscriber device within the ATM network.

Abstract: In general, techniques are described for interworking between Ethernet organization, administration, and maintenance (OAM) frames and Asynchronous Transfer Mode (ATM) ATM OAM cells. For example, an access node in an Ethernet and ATM network may implement the techniques. The access node comprises an Ethernet interface that receives an Ethernet OAM Loopback frame from a device within an Ethernet network. The access node includes a control unit that constructs an ATM OAM End-to-End Loopback cell from the Ethernet OAM Loopback frame, and an ATM interface that transmits the ATM OAM End-to-End Loopback cell from the access node towards a virtual circuit connected to a subscriber device to verify connectivity from the originating device within the Ethernet network to the subscriber device within the ATM network.

Abstract: Systems, methods, and computer program products for identifying under-defined geometries due to singular constraint schemes. A method includes receiving a CAD model having a plurality of geometries and determining the degrees of freedom for each of the geometries. The method includes identifying a number of constraints on each of the geometries and identifying any of the geometries that are under-defined and any of the geometries that are well-defined. The method includes identifying any of the under-defined geometries that are under-defined due to singular (UDS) and storing a UDS indicator for each of the geometries identified as UDS. The method can include identifying geometries computed from these UDS geometries (CFS) and storing a CFS indicator for each of the geometries identified as CFS.