Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Snap
SNAP_SETTINGS_ENABLEDParameter: Tool Specific
SNAP_SETTINGS_TOOLParameter: SNAPMODE_COMBO
SNAPMODE_COMBOParameter: Snap Radius
SNAP_SETTINGS_RADIUSParameter: Guide Angle
SNAP_SETTINGS_GUIDEANGLEParameter: Point
SNAPMODE_POINTParameter: Edge
SNAPMODE_EDGEParameter: Polygon
SNAPMODE_POLYGONParameter: Spline
SNAPMODE_SPLINEParameter: Axis
SNAPMODE_AXISParameter: Intersections
SNAPMODE_INTERSECTIONParameter: Mid Point
SNAPMODE_MIDPOINTParameter: Grid/Workplane
SNAPMODE_WORKPLANEParameter: Grid Point
SNAPMODE_GRIDPOINTParameter: Grid Line
SNAPMODE_GRIDLINEParameter: Guides
SNAPMODE_GUIDEParameter: Dynamic Guides
SNAPMODE_DYNAMICGUIDEParameter: Perpendicular
SNAPMODE_ORTHOParameter: Pixel
SNAPMODE_PIXELParameter: Pixel Position
SNAP_SETTINGS_PIXELMODEParameter: SNAP_SETTINGS_TEXELMODECONTRAST
SNAP_SETTINGS_TEXELMODECONTRASTParameter: Quantize
QUANTIZE_ENABLEDParameter: Move
QUANTIZE_MOVEParameter: Rotate
QUANTIZE_ROTATEParameter: Scale
QUANTIZE_SCALEParameter: Texture
QUANTIZE_TEXTUREParameter: Guide Angle
SNAP_SETTINGS_GUIDEANGLEParameter: Check Mesh
MESH_CHECK_ENABLEDParameter: Isolated Points
MESH_CHECK_POINTParameter: Edge Points
MESH_CHECK_EDGEPOINTParameter: Edge Points Angle Threshold
MESH_CHECK_EDGEPOINT_THRESHOLDParameter: Complex Poles
MESH_CHECK_POLEPOINTParameter: Edge Count
MESH_CHECK_POLE_MINParameter: Non-Manifold
MESH_CHECK_MANIFOLDParameter: Boundary Edges
MESH_CHECK_BOUNDARYParameter: Bad Polygons
MESH_CHECK_POLYParameter: Not Planar Polygons
MESH_CHECK_NORMALParameter: Planarity Threshold
MESH_CHECK_NORMAL_THRESHOLDParameter: Color
MESH_CHECK_POINT_COLORParameter: Color
MESH_CHECK_EDGEPOINT_COLORParameter: Color
MESH_CHECK_POLEPOINT_COLORParameter: Color
MESH_CHECK_MANIFOLD_COLORParameter: Color
MESH_CHECK_BOUNDARY_COLORParameter: Color
MESH_CHECK_POLY_COLORParameter: Color
MESH_CHECK_NORMAL_COLORParameter: >>
MESH_CHECK_POINT_SELECTParameter: >>
MESH_CHECK_EDGEPOINT_SELECTParameter: >>
MESH_CHECK_POLEPOINT_SELECTParameter: >>
MESH_CHECK_MANIFOLD_SELECTParameter: >>
MESH_CHECK_BOUNDARY_SELECTParameter: >>
MESH_CHECK_POLY_SELECTParameter: >>
MESH_CHECK_NORMAL_SELECTParameter: Solo
MODELING_OPTION_SOLO