Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Subdivision
MDATA_BRIDGE_SUBDIVISIONParameter: Tension
MDATA_BRIDGE_TENSIONParameter: Separate Controls
MDATA_BRIDGE_SEPARATE_CONTROLSParameter: Mode Start
MDATA_BRIDGE_FIRST_MODEParameter: Mode End
MDATA_BRIDGE_SECOND_MODEParameter: Flip Start
MDATA_BRIDGE_FIRST_FLIPParameter: Flip End
MDATA_BRIDGE_SECOND_FLIPParameter: Mode
MDATA_BRIDGE_BOTH_MODEParameter: Flip
MDATA_BRIDGE_BOTH_FLIPParameter: Spin Steps
MDATA_BRIDGE_SPIN_STEPSParameter: Reverse
MDATA_BRIDGE_REVERSEParameter: Restrict to Selection
MDATA_BRIDGE_RESTRICTParameter: Patch Mode
MDATA_BRIDGE_USE_SMART_BRIDGEParameter: One Sided Patch
MDATA_BRIDGE_ONE_SIDED_PATCHParameter: Keep Original
MDATA_BRIDGE_KEEP_POLYGONS