| Application module: Layered 3D shape | ISO/TS 10303-1694:2010-03(E) © ISO | 
This clause specifies the information requirements for the Layered 3D shape application module. The information requirements are specified as the Application Reference Model (ARM) of this application module.
NOTE 1 A graphical representation of the information requirements is given in Annex C.
NOTE 2 The mapping specification is specified in 5.1. It shows how the information requirements are met by using common resources and constructs defined or imported in the MIM schema of this application module.
The following EXPRESS specification begins the Layered_3d_shape_arm schema and identifies the necessary external references.
EXPRESS specification:
         *)
            SCHEMA Layered_3d_shape_arm;
(*
The following EXPRESS interface statements specify the elements imported from the ARMs of other application modules.
EXPRESS specification:
*)
            USE FROM
            Layered_2d_shape_arm;
               -- 
            ISO/TS 10303-1693
            USE FROM
            Physical_unit_3d_shape_arm;
               -- 
            ISO/TS 10303-1727
            USE FROM
            Advanced_boundary_representation_arm;
               -- 
            ISO/TS 10303-1514
            USE FROM
            Curve_swept_solid_arm;
               -- 
            ISO/TS 10303-1659
            USE FROM
            Geometrically_bounded_surface_arm;
               -- 
            ISO/TS 10303-1507
            USE FROM
            Geometric_model_2d_3d_relationship_arm;
               -- 
            ISO/TS 10303-1404
(*
NOTE 1 The schemas referenced above are specified in the following part of ISO 10303:
Layered_2d_shape_arm ISO/TS 10303-1693 Physical_unit_3d_shape_arm ISO/TS 10303-1727 Advanced_boundary_representation_arm ISO/TS 10303-1514 Curve_swept_solid_arm ISO/TS 10303-1659 Geometrically_bounded_surface_arm ISO/TS 10303-1507 Geometric_model_2d_3d_relationship_arm ISO/TS 10303-1404 
NOTE 2 See Annex C, Figures C.1and C.2 for a graphical representation of this schema.
This subclause specifies the ARM types for this application module. The ARM types and definitions are specified below.

The l3ds_feature_or_non_feature_usage type is an extension of the feature_or_non_feature_usage type. It adds the data type part_template_or_physical_unit_3d_shape_model_select to the list of alternate data types.
NOTE The list of entity data types may be extended in application modules that use the constructs of this module.
EXPRESS specification:
            *)
            TYPE 
            l3ds_feature_or_non_feature_usage =
            
            EXTENSIBLE
            
            GENERIC_ENTITY
            
            
            SELECT
            BASED_ON 
            feature_or_non_feature_usage
            WITH 
            
               (part_template_or_physical_unit_3d_shape_model_select);
            END_TYPE; 
            (*
            

The part_template_or_physical_unit_3d_shape_model_select type is an extensible list of alternate data types that allows for the designation of the data type Physical_unit_3d_shape_model.
NOTE The list of entity data types may be extended in application modules that use the constructs of this module.
EXPRESS specification:
            *)
            TYPE 
            part_template_or_physical_unit_3d_shape_model_select =
            
            EXTENSIBLE
            
            GENERIC_ENTITY
            
            
            SELECT
               (Physical_unit_3d_shape_model);
            END_TYPE; 
            (*
            
This subclause specifies the ARM entities for this module. Each ARM application entity is an atomic element that embodies a unique application concept and contains attributes specifying the data elements of the entity. The ARM entities and definitions are specified below.


A Shape_definition_3d_intersection is a type of Geometric_model_relationship. A Shape_definition_3d_intersection is the transformation of a shape in a plane in a three dimensional model into a two dimensional model based on the location and orientation of the plane in the three dimensional model. The shape in the plane in the three dimensional model is based on the intersection of that plane with the three-dimensional shape. The placement of the plane in the three dimensional model is the source of the transformation and the origin of the two dimensional coordinate system is the target of the transformation.
EXPRESS specification:
            *)
            ENTITY Shape_definition_3d_intersection
              SUBTYPE OF (Geometric_model_relationship);
            
            
            
              orientation_intersection_plane : Axis_placement_3d;
            
            
            
              planar_shape_origin : Axis_placement_2d;
            
            
            
              SELF\Geometric_model_relationship.rep_1 RENAMED projected_volume : Geometric_model;
            
            
            
              SELF\Geometric_model_relationship.rep_2 RENAMED surface_intersection_result : Planar_shape_model;
WHERE
 
              WR1: NOT ('LAYERED_2D_SHAPE_ARM.PLANAR_SHAPE_MODEL' IN TYPEOF(projected_volume));
 
              WR2: NOT EXISTS(SELF\Representation_relationship.relation_type);
            END_ENTITY;
(*
            
Attribute definitions:
orientation_intersection_plane: specifies the role of the Axis_placement_3d for the Shape_definition_3d_intersection. The Z axis of the Axis_placement_3d shall define the normal of the plane. The orientation_intersection_plane is the source item for the transformation.
planar_shape_origin: specifies the role of the Axis_placement_2d for the Shape_definition_3d_intersection. The Axis_placement_2d shall define the two dimensional coordinate system that is the result of the intersection transform. The orientation_intersection_plane is the target item for the transformation
projected_volume: specifies the role of the Geometric_model for the Shape_definition_3d_intersection.
surface_intersection_result: specifies the role of the Planar_shape_model for the Shape_definition_3d_intersection.
Formal propositions:
WR1: The projected_volume shall not be a Planar_shape_model.
WR2: The relation_type shall not be populated.


A Shape_definition_3d_plane_projection is a type of Geometric_model_relationship. A Shape_definition_3d_plane_projection is the orthogonal projection of a three-dimensional solid onto a plane in a three dimensional coordinate system, resulting in a set of points on that plane, followed by the transformation of that set of points into corresponding points in a two dimensional coordinate system. The normal of the plane shall point toward the solid. The interpretation of the transform shall be that the local x,y position of each point in the plane in the three dimensional coordinate system is used as the x,y position of the corresponding point in the two dimensional coordinate system. The local x,y position of a point in the plane is defined to be the position of the point with respect to the intersectioon of the x,y axes of the placement of the plane in the three dimensional coordinate system. Scaling or other shape distortion is not permitted.
EXPRESS specification:
            *)
            ENTITY Shape_definition_3d_plane_projection
              SUBTYPE OF (Geometric_model_relationship);
            
            
            
              viewing_plane : Axis_placement_3d;
            
            
            
              planar_shape_origin : Axis_placement_2d;
            
            
            
              SELF\Geometric_model_relationship.rep_1 RENAMED surface_projection_result : Planar_shape_model;
            
            
            
              SELF\Geometric_model_relationship.rep_2 RENAMED projected_volume : Geometric_model;
WHERE
 
              WR1: NOT ('LAYERED_2D_SHAPE_ARM.PLANAR_SHAPE_MODEL' IN TYPEOF(projected_volume));
 
              WR2: NOT EXISTS(SELF\Representation_relationship.relation_type);
            END_ENTITY;
(*
            
Attribute definitions:
viewing_plane: specifies the role of the Axis_placement_3d for the Shape_definition_3d_plane_projection.
planar_shape_origin: specifies the role of the Axis_placement_2d for the Shape_definition_3d_plane_projection.
surface_projection_result: specifies the role of the Planar_shape_model for the Shape_definition_3d_plane_projection.
projected_volume: specifies the role of the Geometric_model for the Shape_definition_3d_plane_projection.
Formal propositions:
WR1: The projected_volume shall not be a Planar_shape_model.
WR2: The relation_type shall not be populated.
This subclause specifies the ARM subtype constraint for this module. The subtype constraint places a constraint on the possible super-type / subtype instantiations. The ARM subtype constraint and definition is specified below.


The l3ds_geometric_representation_relationship_subtypes constraint specifies a constraint that applies to instances of subtypes of Geometric_model_relationship.
EXPRESS specification:
            *)
SUBTYPE_CONSTRAINT l3ds_geometric_representation_relationship_subtypes FOR Geometric_model_relationship;
              ONEOF (Shape_definition_3d_intersection,
         Shape_definition_3d_plane_projection);
      
            END_SUBTYPE_CONSTRAINT;
(*
            
         *)
         END_SCHEMA;  -- Layered_3d_shape_arm
(*
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