ISO/TS 10303-1652:2019 Basic geometry


Application module: Basic geometry	ISO/TS 10303-1652:2019(E) © ISO

Cover page
Table of contents
Copyright
Foreword
Introduction
1 Scope
2 Normative references
3 Terms, definitions and abbreviated terms
3.1 Terms and definitions
3.2 Abbreviated terms

4 Information requirements
4.1 Required AM ARMs
4.2 ARM entity definitions
4.3 ARM subtype constraint definitions
5 Module interpreted model
5.1 Mapping specification
5.2 MIM EXPRESS short listing

A MIM short names
B Information object registration
C ARM EXPRESS-G
D MIM EXPRESS-G
E Computer interpretable listings
F Change history
Bibliography
Index


         (*
ISO/TC 184/SC 4/WG 12 N10421 - ISO/TS 10303-1652 Basic geometry - EXPRESS ARM
Supersedes 
         ISO/TC 184/SC 4/WG 12 N7828
*)



SCHEMA Basic_geometry_arm;


         USE FROM
         Elemental_geometric_shape_arm;
            -- ISO/TS 10303-1004


         USE FROM
         Parametric_representation_arm;
            -- ISO/TS 10303-1813


ENTITY Bounded_curve

           ABSTRACT SUPERTYPE
         

           SUBTYPE OF (Curve);

         
         END_ENTITY;


ENTITY Bounded_surface

           ABSTRACT SUPERTYPE
         

           SUBTYPE OF (Surface);

         
         END_ENTITY;


ENTITY Circle

           SUBTYPE OF (Conic);

           radius : positive_length_measure;

         
         END_ENTITY;


ENTITY Conic

           SUPERTYPE OF 
         (ONEOF (Circle,
                       Ellipse,
                       Hyperbola,
                       Parabola))

           SUBTYPE OF (Curve);

           position : Axis_placement;

         
         END_ENTITY;


ENTITY Conical_surface

           SUBTYPE OF (Surface);

           position : Axis_placement_3d;

           radius : positive_length_measure;

           semi_angle : plane_angle_measure;

         
         END_ENTITY;


ENTITY Curve

           SUPERTYPE OF 
         (ONEOF (Conic,
                       Line))

           SUBTYPE OF (Detailed_geometric_model_element);

         
         END_ENTITY;


ENTITY Cylindrical_point

           SUBTYPE OF (Cartesian_point);

           r : positive_length_measure;

           theta : plane_angle_measure;

           z : length_measure;
DERIVE

           SELF\Cartesian_point.coordinates : LIST[3:3] OF length_measure := [r*cos(theta), r*sin(theta), z];

         
         END_ENTITY;


ENTITY Cylindrical_surface

           SUBTYPE OF (Surface);

           position : Axis_placement_3d;

           radius : positive_length_measure;

         
         END_ENTITY;


ENTITY Degenerate_pcurve

           SUBTYPE OF (Point);

           basis_surface : Surface;

           reference_to_curve : Definitional_representation;
WHERE

           WR1: SIZEOF(reference_to_curve\Representation.items) = 1;

           WR2: 'BASIC_GEOMETRY_ARM.CURVE' IN TYPEOF (reference_to_curve\Representation.items[1]);

         
         END_ENTITY;


ENTITY Ellipse

           SUBTYPE OF (Conic);

           first_semi_axis : positive_length_measure;

           second_semi_axis : positive_length_measure;

         
         END_ENTITY;


ENTITY Extruded_surface

           SUBTYPE OF (Swept_surface);

           extrusion_axis : Direction;

         
         END_ENTITY;


ENTITY Hyperbola

           SUBTYPE OF (Conic);

           semi_axis : positive_length_measure;

           imaginary_semi_axis : positive_length_measure;

         
         END_ENTITY;


ENTITY Line

           SUBTYPE OF (Curve);

           point : Cartesian_point;

           line_direction : Direction;

         
         END_ENTITY;


ENTITY Parabola

           SUBTYPE OF (Conic);

           focal_distance : length_measure;
WHERE

           WR1: focal_distance <> 0.0;

         
         END_ENTITY;


ENTITY Plane

           SUBTYPE OF (Surface);

           position : Axis_placement_3d;

         
         END_ENTITY;


ENTITY Point_on_curve

           SUBTYPE OF (Point);

           supporting_curve : Curve;

         
         END_ENTITY;


ENTITY Point_on_surface

           SUBTYPE OF (Point);

           supporting_surface : Surface;

         
         END_ENTITY;


ENTITY Polar_point

           SUBTYPE OF (Cartesian_point);

           r : positive_length_measure;

           theta : plane_angle_measure;
DERIVE

           SELF\Cartesian_point.coordinates : LIST[2:2] OF length_measure := [r*cos(theta), r*sin(theta)];

         
         END_ENTITY;


ENTITY Spherical_point

           SUBTYPE OF (Cartesian_point);

           r : positive_length_measure;

           theta : plane_angle_measure;

           phi : plane_angle_measure;
DERIVE

           SELF\Cartesian_point.coordinates : LIST[3:3] OF length_measure := [r*sin(theta)*cos(phi), r*sin(theta)*sin(phi), r*cos(theta)];

         
         END_ENTITY;


ENTITY Spherical_surface

           SUBTYPE OF (Surface);

           position : Axis_placement_3d;

           radius : positive_length_measure;

         
         END_ENTITY;


ENTITY Surface

           SUPERTYPE OF 
         (ONEOF (Conical_surface,
                       Cylindrical_surface,
                       Plane,
                       Spherical_surface,
                       Swept_surface,
                       Toroidal_surface))

           SUBTYPE OF (Detailed_geometric_model_element);

         
         END_ENTITY;


ENTITY Surface_of_revolution

           SUBTYPE OF (Swept_surface);

           axis_direction : Direction;

           axis_point : Cartesian_point;

         
         END_ENTITY;


ENTITY Swept_surface

           SUPERTYPE OF 
         (ONEOF (Extruded_surface,
                       Surface_of_revolution))

           SUBTYPE OF (Surface);

           swept_curve : Curve;

         
         END_ENTITY;


ENTITY Toroidal_surface

           SUBTYPE OF (Surface);

           position : Axis_placement_3d;

           radius : positive_length_measure;

           minor_radius : positive_length_measure;

         
         END_ENTITY;


SUBTYPE_CONSTRAINT alternate_geometry_items FOR Detailed_geometric_model_element;

           ONEOF (Direction,
         Axis_placement,
         Cartesian_transformation_2d,
         Cartesian_transformation_3d,
         Curve,
         Surface);
      
         END_SUBTYPE_CONSTRAINT;


SUBTYPE_CONSTRAINT cartesian_point_subtypes FOR Cartesian_point;

           ONEOF (Cylindrical_point,
         Polar_point,
         Spherical_point);
      
         END_SUBTYPE_CONSTRAINT;


SUBTYPE_CONSTRAINT point_subtypes FOR Point;

           ONEOF (Cartesian_point,
         Degenerate_pcurve,
         Point_on_curve,
         Point_on_surface);
      
         END_SUBTYPE_CONSTRAINT;



         END_SCHEMA;  -- Basic_geometry_arm