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|
-- File: ElSLib.cdl
-- Created: Mon Sep 9 16:39:42 1991
-- Author: Michel Chauvat
---Copyright: Matra Datavision 1991
package ElSLib
--- Purpose : Provides functions for basic geometric computation on
-- elementary surfaces.
-- This includes:
-- - calculation of a point or derived vector on a surface
-- where the surface is provided by the gp package, or
-- defined in canonical form (as in the gp package), and
-- the point is defined with a parameter,
-- - evaluation of the parameters corresponding to a
-- point on an elementary surface from gp,
-- - calculation of isoparametric curves on an elementary
-- surface defined in canonical form (as in the gp package).
-- Notes:
-- - ElSLib stands for Elementary Surfaces Library.
-- - If the surfaces provided by the gp package are not
-- explicitly parameterized, they still have an implicit
-- parameterization, similar to that which they infer on
-- the equivalent Geom surfaces.
-- Note: ElSLib stands for Elementary Surfaces Library.
uses gp
is
Value (U, V : Real; Pl : Pln from gp)
returns Pnt from gp;
---Purpose: For elementary surfaces from the gp package (planes,
-- cones, cylinders, spheres and tori), computes the point
-- of parameters (U, V).
Value (U, V : Real; C : Cone from gp)
returns Pnt from gp;
---C++: inline
Value (U, V : Real; C : Cylinder from gp)
returns Pnt from gp;
---C++: inline
Value (U, V : Real; S : Sphere from gp)
returns Pnt from gp;
---C++: inline
Value (U,V : Real; T : Torus from gp)
returns Pnt from gp;
---C++: inline
DN (U, V : Real; Pl : Pln from gp; Nu, Nv : Integer)
returns Vec from gp;
---Purpose: For elementary surfaces from the gp package (planes,
-- cones, cylinders, spheres and tori), computes the
-- derivative vector of order Nu and Nv in the u and v
-- parametric directions respectively, at the point of
-- parameters (U, V).
DN (U, V : Real; C : Cone from gp; Nu, Nv : Integer)
returns Vec from gp;
---C++: inline
DN (U, V : Real; C : Cylinder from gp; Nu, Nv : Integer)
returns Vec from gp;
---C++: inline
DN (U, V : Real; S : Sphere from gp; Nu, Nv : Integer)
returns Vec from gp;
---C++: inline
DN (U, V : Real; T : Torus from gp; Nu, Nv : Integer)
returns Vec from gp;
---C++: inline
D0 (U, V : Real; Pl : Pln from gp; P : out Pnt from gp);
---Purpose: For elementary surfaces from the gp package (planes,
-- cones, cylinders, spheres and tori), computes the point P
-- of parameters (U, V).inline
D0 (U, V : Real; C : Cone from gp; P : out Pnt from gp);
---C++: inline
D0 (U, V : Real; C : Cylinder from gp; P : out Pnt from gp);
---C++: inline
D0 (U, V : Real; S : Sphere from gp; P : out Pnt from gp);
---C++: inline
D0 (U, V : Real; T : Torus from gp; P : out Pnt from gp);
---C++: inline
D1 (U, V : Real; Pl : Pln from gp; P : out Pnt from gp;
Vu, Vv : out Vec from gp);
---Purpose:
-- For elementary surfaces from the gp package (planes,
-- cones, cylinders, spheres and tori), computes:
-- - the point P of parameters (U, V), and
-- - the first derivative vectors Vu and Vv at this point in
-- the u and v parametric directions respectively.
D1 (U, V : Real; C : Cone from gp; P : out Pnt from gp;
Vu, Vv : out Vec from gp);
---C++: inline
D1 (U, V : Real; C : Cylinder from gp; P : out Pnt from gp;
Vu, Vv : out Vec from gp);
---C++: inline
D1 (U, V : Real; S : Sphere from gp; P : out Pnt from gp;
Vu, Vv : out Vec from gp);
---C++: inline
D1 (U, V : Real; T : Torus from gp; P : out Pnt from gp;
Vu, Vv : out Vec from gp);
---C++: inline
D2 (U, V : Real; C : Cone from gp; P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv : out Vec from gp);
---Purpose:
-- For elementary surfaces from the gp package (cones,
-- cylinders, spheres and tori), computes:
-- - the point P of parameters (U, V), and
-- - the first derivative vectors Vu and Vv at this point in
-- the u and v parametric directions respectively, and
-- - the second derivative vectors Vuu, Vvv and Vuv at this point.
D2 (U, V : Real; C : Cylinder from gp; P : out Pnt from gp;
Vu,Vv,Vuu,Vvv,Vuv : out Vec from gp);
---C++: inline
D2 (U, V : Real; S : Sphere from gp; P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv : out Vec from gp);
---C++: inline
D2 (U, V : Real; T : Torus from gp; P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv : out Vec from gp);
---C++: inline
D3 (U, V : Real; C : Cone from gp; P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv, Vuuu, Vvvv, Vuuv, Vuvv : out Vec from gp);
---Purpose:
-- For elementary surfaces from the gp package (cones,
-- cylinders, spheres and tori), computes:
-- - the point P of parameters (U,V), and
-- - the first derivative vectors Vu and Vv at this point in
-- the u and v parametric directions respectively, and
-- - the second derivative vectors Vuu, Vvv and Vuv at
-- this point, and
-- - the third derivative vectors Vuuu, Vvvv, Vuuv and
-- Vuvv at this point.
D3 (U, V : Real; C : Cylinder from gp; P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv, Vuuu, Vvvv, Vuuv, Vuvv : out Vec from gp);
---C++: inline
D3 (U, V : Real; S : Sphere from gp; P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv, Vuuu, Vvvv, Vuuv, Vuvv : out Vec from gp);
---C++: inline
D3 (U, V : Real; T : Torus from gp; P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv, Vuuu, Vvvv, Vuuv, Vuvv : out Vec from gp);
---C++: inline
--- Purpose : Surface evaluation
-- The following functions compute the point and the
-- derivatives on elementary surfaces defined with their
-- geometric characterisitics.
-- You don't need to create the surface to use these functions.
-- These functions are called by the previous ones.
--- Example :
-- A cylinder is defined with its position and its radius.
PlaneValue (U, V : Real; Pos : Ax3 from gp)
returns Pnt from gp;
CylinderValue (U, V : Real; Pos : Ax3 from gp; Radius : Real)
returns Pnt from gp;
ConeValue (U, V : Real; Pos : Ax3 from gp; Radius, SAngle : Real)
returns Pnt from gp;
SphereValue (U, V : Real; Pos : Ax3 from gp; Radius : Real)
returns Pnt from gp;
TorusValue (U, V : Real; Pos : Ax3 from gp; MajorRadius, MinorRadius : Real)
returns Pnt from gp;
PlaneDN (U, V : Real; Pos : Ax3 from gp; Nu, Nv : Integer)
returns Vec from gp;
CylinderDN (U, V : Real; Pos: Ax3 from gp; Radius : Real; Nu, Nv : Integer)
returns Vec from gp;
ConeDN (U, V : Real; Pos : Ax3 from gp; Radius, SAngle : Real;
Nu, Nv : Integer)
returns Vec from gp;
SphereDN (U, V : Real; Pos: Ax3 from gp; Radius : Real; Nu, Nv : Integer)
returns Vec from gp;
TorusDN (U, V : Real; Pos: Ax3 from gp; MajorRadius, MinorRadius : Real;
Nu, Nv : Integer)
returns Vec from gp;
PlaneD0 (U, V : Real; Pos : Ax3 from gp; P : out Pnt from gp);
ConeD0 (U, V : Real; Pos : Ax3 from gp; Radius, SAngle : Real;
P : out Pnt from gp);
CylinderD0 (U, V : Real; Pos : Ax3 from gp; Radius : Real;
P : out Pnt from gp);
SphereD0 (U, V : Real; Pos : Ax3 from gp; Radius : Real;
P : out Pnt from gp);
TorusD0 (U, V : Real; Pos : Ax3 from gp; MajorRadius, MinorRadius : Real;
P : out Pnt from gp);
PlaneD1 (U, V : Real; Pos : Ax3 from gp; P : out Pnt from gp;
Vu, Vv : out Vec from gp);
ConeD1 (U, V : Real; Pos : Ax3 from gp; Radius, SAngle : Real;
P : out Pnt from gp; Vu, Vv : out Vec from gp);
CylinderD1 (U, V : Real; Pos : Ax3 from gp; Radius : Real;
P : out Pnt from gp; Vu, Vv : out Vec from gp);
SphereD1 (U, V : Real; Pos : Ax3 from gp; Radius : Real;
P : out Pnt from gp; Vu, Vv : out Vec from gp);
TorusD1 (U, V : Real; Pos : Ax3 from gp; MajorRadius, MinorRadius : Real;
P : out Pnt from gp; Vu, Vv : out Vec from gp);
ConeD2 (U, V : Real; Pos : Ax3 from gp; Radius, SAngle : Real;
P : out Pnt from gp; Vu, Vv, Vuu, Vvv, Vuv : out Vec from gp);
CylinderD2 (U, V : Real; Pos : Ax3 from gp; Radius : Real;
P : out Pnt from gp; Vu,Vv,Vuu,Vvv,Vuv : out Vec from gp);
SphereD2 (U, V : Real; Pos : Ax3 from gp; Radius : Real;
P : out Pnt from gp; Vu, Vv, Vuu, Vvv, Vuv : out Vec from gp);
TorusD2 (U, V : Real; Pos : Ax3 from gp; MajorRadius, MinorRadius : Real;
P : out Pnt from gp; Vu, Vv, Vuu, Vvv, Vuv : out Vec from gp);
ConeD3 (U, V : Real; Pos : Ax3 from gp; Radius, SAngle : Real;
P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv, Vuuu, Vvvv, Vuuv, Vuvv : out Vec from gp);
CylinderD3 (U, V : Real; Pos : Ax3 from gp; Radius : Real;
P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv, Vuuu, Vvvv, Vuuv, Vuvv : out Vec from gp);
SphereD3 (U, V : Real; Pos : Ax3 from gp; Radius : Real; P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv, Vuuu, Vvvv, Vuuv, Vuvv : out Vec from gp);
TorusD3 (U, V : Real; Pos : Ax3 from gp; MajorRadius, MinorRadius : Real;
P : out Pnt from gp;
Vu, Vv, Vuu, Vvv, Vuv, Vuuu, Vvvv, Vuuv, Vuvv : out Vec from gp);
--- Purpose :
-- The following functions compute the parametric values
-- corresponding to a given point on a elementary surface.
-- The point should be on the surface.
Parameters (Pl : Pln from gp; P : Pnt from gp; U, V : out Real);
--- Purpose : parametrization
-- P (U, V) =
-- Pl.Location() + U * Pl.XDirection() + V * Pl.YDirection()
---C++: inline
Parameters (C : Cylinder from gp; P : Pnt from gp; U, V : out Real);
--- Purpose : parametrization
-- P (U, V) = Location + V * ZDirection +
-- Radius * (Cos(U) * XDirection + Sin (U) * YDirection)
---C++: inline
Parameters (C : Cone from gp; P : Pnt from gp; U, V : out Real);
--- Purpose : parametrization
-- P (U, V) = Location + V * ZDirection +
-- (Radius + V * Tan (SemiAngle)) *
-- (Cos(U) * XDirection + Sin(U) * YDirection)
---C++: inline
Parameters (S : Sphere from gp; P : Pnt from gp; U, V : out Real);
--- Purpose : parametrization
-- P (U, V) = Location +
-- Radius * Cos (V) * (Cos (U) * XDirection + Sin (U) * YDirection) +
-- Radius * Sin (V) * ZDirection
---C++: inline
Parameters (T : Torus from gp; P : Pnt from gp; U, V : out Real);
--- Purpose : parametrization
-- P (U, V) = Location +
-- (MajorRadius + MinorRadius * Cos(U)) *
-- (Cos(V) * XDirection - Sin(V) * YDirection) +
-- MinorRadius * Sin(U) * ZDirection
---C++: inline
PlaneParameters (Pos: Ax3 from gp; P: Pnt from gp; U, V: out Real);
--- Purpose : parametrization
-- P (U, V) =
-- Pl.Location() + U * Pl.XDirection() + V * Pl.YDirection()
CylinderParameters (Pos: Ax3 from gp; Radius : Real; P: Pnt from gp;
U, V: out Real);
--- Purpose : parametrization
-- P (U, V) = Location + V * ZDirection +
-- Radius * (Cos(U) * XDirection + Sin (U) * YDirection)
ConeParameters (Pos: Ax3 from gp; Radius, SAngle: Real; P: Pnt from gp;
U, V: out Real);
--- Purpose : parametrization
-- P (U, V) = Location + V * ZDirection +
-- (Radius + V * Tan (SemiAngle)) *
-- (Cos(U) * XDirection + Sin(U) * YDirection)
SphereParameters (Pos: Ax3 from gp; Radius: Real; P: Pnt from gp;
U, V: out Real);
--- Purpose : parametrization
-- P (U, V) = Location +
-- Radius * Cos (V) * (Cos (U) * XDirection + Sin (U) * YDirection) +
-- Radius * Sin (V) * ZDirection
TorusParameters (Pos: Ax3 from gp; MajorRadius, MinorRadius: Real;
P : Pnt from gp; U, V : out Real);
--- Purpose : parametrization
-- P (U, V) = Location +
-- (MajorRadius + MinorRadius * Cos(U)) *
-- (Cos(V) * XDirection - Sin(V) * YDirection) +
-- MinorRadius * Sin(U) * ZDirection
PlaneUIso (Pos: Ax3 from gp; U : Real)
--- Purpose : compute the U Isoparametric gp_Lin of the plane.
returns Lin from gp;
CylinderUIso (Pos: Ax3 from gp; Radius, U : Real)
--- Purpose : compute the U Isoparametric gp_Lin of the cylinder.
returns Lin from gp;
ConeUIso (Pos: Ax3 from gp; Radius, SAngle, U: Real)
--- Purpose : compute the U Isoparametric gp_Lin of the cone.
returns Lin from gp;
SphereUIso (Pos: Ax3 from gp; Radius, U : Real)
--- Purpose : compute the U Isoparametric gp_Circ of the sphere,
-- (the meridian is not trimmed).
returns Circ from gp;
TorusUIso (Pos: Ax3 from gp; MajorRadius, MinorRadius, U: Real)
--- Purpose : compute the U Isoparametric gp_Circ of the torus.
returns Circ from gp;
PlaneVIso (Pos: Ax3 from gp; V : Real)
--- Purpose : compute the V Isoparametric gp_Lin of the plane.
returns Lin from gp;
CylinderVIso (Pos: Ax3 from gp; Radius, V : Real)
--- Purpose : compute the V Isoparametric gp_Circ of the cylinder.
returns Circ from gp;
ConeVIso (Pos: Ax3 from gp; Radius, SAngle, V : Real)
--- Purpose : compute the V Isoparametric gp_Circ of the cone.
returns Circ from gp;
SphereVIso (Pos: Ax3 from gp; Radius, V : Real)
--- Purpose : compute the V Isoparametric gp_Circ of the sphere,
-- (the meridian is not trimmed).
returns Circ from gp;
TorusVIso (Pos: Ax3 from gp; MajorRadius, MinorRadius, V : Real)
--- Purpose : compute the V Isoparametric gp_Circ of the torus.
returns Circ from gp;
end ElSLib;
|
