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-- File: SLProps.cdl
-- Created: Tue Mar 26 09:37:49 1991
-- Author: Michel CHAUVAT
-- <mca@topsn3>
---Copyright: Matra Datavision 1991, 1992
generic class SLProps from LProp (Surface as any;
Tool as any) -- as ToolSurface(Surface)
---Purpose: Computation of Surface Local Properties:
-- - point,
-- - derivatives,
-- - tangents,
-- - normal,
-- - tangent plane,
-- - principal curvatures and their associated direction,
-- - mean curvature,
-- - Gaussian curvature.
uses Dir from gp,
Pnt from gp,
Vec from gp,
Status from LProp
raises BadContinuity, DomainError, OutOfRange, NotDefined
is
Create(S: Surface; U, V: Real; N: Integer; Resolution: Real)
---Purpose: Initializes the local properties of the surface <S>
-- for the parameter values (<U>, <V>).
-- The current point and the derivatives are
-- computed at the same time, which allows an
-- optimization of the computation time.
-- <N> indicates the maximum number of derivations to
-- be done (0, 1, or 2). For example, to compute
-- only the tangent, N should be equal to 1.
-- <Resolution> is the linear tolerance (it is used to test
-- if a vector is null).
returns SLProps
raises OutOfRange;
-- if N < 0 or N > 2.
Create(S: Surface; N: Integer; Resolution: Real)
---Purpose: idem as previous constructor but without setting the value
-- of parameters <U> and <V>.
returns SLProps
raises OutOfRange;
-- if N < 0 or N > 2.
Create( N: Integer; Resolution: Real)
---Purpose: idem as previous constructor but without setting the value
-- of parameters <U> and <V> and the surface.
-- the surface can have an empty constructor.
returns SLProps
raises OutOfRange;
-- if N < 0 or N > 2.
SetSurface(me : in out;S : Surface)
---Purpose: Initializes the local properties of the surface S
-- for the new surface.
is static;
SetParameters(me: in out; U, V : Real)
---Purpose: Initializes the local properties of the surface S
-- for the new parameter values (<U>, <V>).
is static;
Value(me) returns Pnt
---Purpose: Returns the point.
---C++: return const &
is static;
D1U(me: in out) returns Vec is static;
---Purpose: Returns the first U derivative.
-- The derivative is computed if it has not been yet.
---C++: return const &
D1V(me: in out) returns Vec is static;
---Purpose: Returns the first V derivative.
-- The derivative is computed if it has not been yet.
---C++: return const &
D2U(me: in out) returns Vec is static;
---Purpose: Returns the second U derivatives
-- The derivative is computed if it has not been yet.
---C++: return const &
D2V(me: in out) returns Vec is static;
---Purpose: Returns the second V derivative.
-- The derivative is computed if it has not been yet.
---C++: return const &
DUV(me: in out) returns Vec is static;
---Purpose: Returns the second UV cross-derivative.
-- The derivative is computed if it has not been yet.
---C++: return const &
IsTangentUDefined(me: in out) returns Boolean is static;
---Purpose: returns True if the U tangent is defined.
-- For example, the tangent is not defined if the
-- two first U derivatives are null.
TangentU(me: in out; D : out Dir)
---Purpose: Returns the tangent direction <D> on the iso-V.
raises NotDefined
-- if IsTangentUDefined() == False.
is static;
IsTangentVDefined(me: in out) returns Boolean is static;
---Purpose: returns if the V tangent is defined.
-- For example, the tangent is not defined if the
-- two first V derivatives are null.
TangentV(me: in out; D : out Dir)
---Purpose: Returns the tangent direction <D> on the iso-V.
raises NotDefined
-- if IsTangentVDefined() == False.
is static;
IsNormalDefined(me: in out) returns Boolean is static;
---Purpose: Tells if the normal is defined.
Normal(me: in out) returns Dir
---Purpose: Returns the normal direction.
---C++: return const &
raises NotDefined
-- if IsNormalDefined() == False
is static;
IsCurvatureDefined(me: in out)
---Purpose: returns True if the curvature is defined.
returns Boolean
raises BadContinuity
-- if the surface is not C2.
is static;
IsUmbilic(me: in out)
---Purpose: returns True if the point is umbilic (i.e. if the
-- curvature is constant).
returns Boolean
raises NotDefined
-- if IsCurvatureDefined() == False
is static;
MaxCurvature(me : in out)
---Purpose: Returns the maximum curvature
returns Real
raises NotDefined
-- if IsCurvatureDefined() == False.
is static;
MinCurvature(me : in out)
---Purpose: Returns the minimum curvature
returns Real
raises NotDefined
-- if IsCurvatureDefined() == False.
is static;
CurvatureDirections(me: in out; MaxD, MinD : out Dir)
---Purpose: Returns the direction of the maximum and minimum curvature
-- <MaxD> and <MinD>
raises NotDefined
-- if IsCurvatureDefined() == False
-- or IsUmbilic() == True.
is static;
MeanCurvature(me: in out)
---Purpose: Returns the mean curvature.
returns Real
raises NotDefined
-- if IsCurvatureDefined() == False.
is static;
GaussianCurvature(me: in out)
---Purpose: Returns the Gaussian curvature
returns Real
raises NotDefined
-- if IsCurvatureDefined() == False.
is static;
fields
surf : Surface;
u : Real;
v : Real;
level : Integer;
cn : Integer;
linTol : Real;
pnt : Pnt from gp;
d1U : Vec from gp;
d1V : Vec from gp;
d2U : Vec from gp;
d2V : Vec from gp;
dUV : Vec from gp;
normal : Dir from gp;
minCurv : Real;
maxCurv : Real;
dirMinCurv : Dir from gp;
dirMaxCurv : Dir from gp;
meanCurv : Real;
gausCurv : Real;
significantFirstUDerivativeOrder : Integer;
significantFirstVDerivativeOrder : Integer;
uTangentStatus : Status from LProp;
vTangentStatus : Status from LProp;
normalStatus : Status from LProp;
curvatureStatus : Status from LProp;
end SLProps;
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