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-- File: LocalAnalysis_SurfaceContinuity.cdl
-- Created: Fri Aug 9 10:54:22 1996
-- Author: Herve LOUESSARD
-- <hl1@sgi30>
--modified by Jerome LEMONIER
--Wed Aug 13 10:46
--New constructor and new method ComputeAnalysis
---Copyright: Matra Datavision 1996
class SurfaceContinuity from LocalAnalysis
---Purpose:
-- This class gives tools to check local continuity C0
-- C1 C2 G1 G2 between two points situated on two surfaces
uses
Shape from GeomAbs,
Boolean, Integer, Real from Standard,
Surface from Geom,
SLProps from GeomLProp,
Curve from Geom,
Curve from Geom2d,
StatusErrorType from LocalAnalysis
raises
NotDone from StdFail
is
Create( Surf1: Surface from Geom; u1, v1: Real from Standard;
Surf2: Surface from Geom; u2, v2: Real from Standard;
Order: Shape from GeomAbs;
EpsNul: Real from Standard= 0.001;
EpsC0 : Real from Standard= 0.001;
EpsC1 : Real from Standard= 0.001;
EpsC2 : Real from Standard= 0.001;
EpsG1 : Real from Standard= 0.001;
Percent :Real from Standard= 0.01;
Maxlen: Real from Standard =10000)
---Purpose:
-- -u1,v1 are the parameters of the point on Surf1
-- -u2,v2 are the parameters of the point on Surf2
-- -Order is the required continuity:
-- GeomAbs_C0 GeomAbs_C1 GeomAbs_C2
-- GeomAbs_G1 GeomAbs_G2
--
-- -EpsNul is used to detect a a vector with nul
-- magnitude
--
-- -EpsC0 is used for C0 continuity to confuse two
-- points (in mm)
--
-- -EpsC1 is an angular tolerance in radians used
-- for C1 continuity to compare the angle between
-- the first derivatives
--
-- -EpsC2 is an angular tolerance in radians used
-- for C2 continuity to compare the angle between
-- the second derivatives
--
-- -EpsG1 is an angular tolerance in radians used
-- for G1 continuity to compare the angle between
-- the normals
--
--
-- -Percent : percentage of curvature variation (unitless)
-- used for G2 continuity
--
-- - Maxlen is the maximum length of Surf1 or Surf2 in
-- meters used to detect null curvature (in mm)
--
--
--
-- the constructor computes the quantities which are
-- necessary to check the continuity in the following cases:
--
-- case C0
-- --------
-- - the distance between P1 and P2 with P1=Surf (u1,v1) and
-- P2=Surfv2(u2,v2)
--
--
-- case C1
-- -------
--
-- - the angle between the first derivatives in u :
--
-- dSurf1(u1,v1) dSurf2(u2,v2)
-- ----------- and ---------
-- du du
--
-- the angle value is between 0 and PI/2
--
-- - the angle between the first derivatives in v :
--
-- dSurf1(u1,v1) dSurf2(u2,v2)
-- -------- and ---------
-- dv dv
--
-- - the ratio between the magnitudes of the first derivatives in u
-- - the ratio between the magnitudes of the first derivatives in v
--
-- the angle value is between 0 and pi/2
--
-- case C2
-- -------
-- - the angle between the second derivatives in u
-- 2 2
-- d Surf1(u1,v1) d Surf2(u2,v2)
-- ---------- ----------
-- 2 2
-- d u d u
--
-- - the ratio between the magnitudes of the second derivatives in u
-- - the ratio between the magnitudes of the second derivatives in v
--
-- the angle value is between 0 and PI/2
--
-- case G1
-- -------
-- -the angle between the normals at each point
-- the angle value is between 0 and PI/2
--
-- case G2
-- -------
-- - the maximum normal curvature gap between the two
-- points
--
returns SurfaceContinuity from LocalAnalysis;
Create( curv1: Curve from Geom2d; curv2 : Curve from Geom2d;
U: Real from Standard;Surf1: Surface from Geom ;
Surf2: Surface from Geom;
Order: Shape from GeomAbs;
EpsNul: Real from Standard= 0.001;
EpsC0 : Real from Standard= 0.001;
EpsC1 : Real from Standard= 0.001;
EpsC2 : Real from Standard= 0.001;
EpsG1 : Real from Standard= 0.001;
Percent :Real from Standard= 0.01;
Maxlen: Real from Standard =10000)
-- - the first point is located by surf1(curv1(U))
-- - the second point is located by surf2(curv2(U))
--
-- - Order is the required continuity:
-- GeomAbs_C0 GeomAbs_C1 GeomAbs_C2
-- GeomAbs_G1 GeomAbs_G2
--
-- (see the above constructor for the tolerances)
returns SurfaceContinuity from LocalAnalysis;
Create( EpsNul: Real from Standard= 0.001;
EpsC0 : Real from Standard= 0.001;
EpsC1 : Real from Standard= 0.001;
EpsC2 : Real from Standard= 0.001;
EpsG1 : Real from Standard= 0.001;
Percent :Real from Standard= 0.01;
Maxlen: Real from Standard =10000)
returns SurfaceContinuity from LocalAnalysis;
---Purpose:
-- This constructor is used when we want to compute many analysis.
-- After we use the method ComputeAnalysis
ComputeAnalysis( me:in out; Surf1, Surf2: in out SLProps from GeomLProp;
Order: Shape from GeomAbs);
-- This method computes the analysis for two SLProps which contains
-- the properties of the two surfaces and the two points
-- Order is the required continuity:
-- GeomAbs_C0 GeomAbs_C1 GeomAbs_C2
-- GeomAbs_G1 GeomAbs_G2
IsDone(me) returns Boolean from Standard;
-- returns true if there is no problem in the constructor
ContinuityStatus(me) returns Shape from GeomAbs raises NotDone ;
-- returns the continuity required in the constructor
StatusError(me) returns StatusErrorType from LocalAnalysis;
-- returns the status of error :
-- NullFirstDerivative : one of the first derivatives is null
-- NullSecondDerivative: one of the second derivatives is null
-- NormalNotDefined: one (or both) normal is undefined
-- CurvatureNotDefined: one of the mean curvatures is undefined
-- The following functions return the quantities
-- which are necessary to check continuity
C0Value(me) returns Real from Standard raises NotDone ;
-- returns the distance between P1 and P2 with P1=Surf (u1,v1) and
-- P2=Surfv2(u2,v2)
C1UAngle(me) returns Real from Standard raises NotDone ;
-- returns the angle between the first derivatives in u :
--
-- dSurf1(u1,v1) dSurf2(u2,v2)
-- -------- and ---------
-- du du
--
-- the angle value is between 0 and PI/2
C1URatio (me) returns Real from Standard raises NotDone ;
-- returns the ratio between the magnitudes of the first
-- derivatives in u
--
--
C1VAngle(me) returns Real from Standard raises NotDone ;
-- returns the angle between the first derivatives in v:
--
-- dSurf1(u1,v1) dSurf2(u2,v2)
-- -------- and ---------
-- dv dv
--
-- the angle value is between 0 and PI/2
C1VRatio(me) returns Real from Standard raises NotDone ;
-- returns the ratio between the magnitudes of the first
-- derivatives in v
C2UAngle(me) returns Real from Standard raises NotDone ;
-- returns the angle between the second derivatives in u
-- 2 2
-- d Surf1(u1,v1) d Surf2(u2,v2)
-- ---------- and ----------
-- 2 2
-- du du
C2URatio(me) returns Real from Standard raises NotDone ;
-- returns the ratio between the magnitudes of the second
-- derivatives in u
C2VAngle(me) returns Real from Standard raises NotDone ;
-- returns the angle between the second derivatives in v
-- 2 2
-- d Surf1(u1,v1) d Surf2(u2,v2)
-- ---------- and ----------
-- 2 2
-- dv dv
--
-- the angle value is between 0 and PI/2
--
C2VRatio(me) returns Real from Standard raises NotDone ;
-- returns the ratio between the magnitudes of the first
-- derivatives in v
G1Angle(me) returns Real from Standard raises NotDone ;
--returns the angle between the normals at the two points
--
-- the angle value is between 0 and PI/2
G2CurvatureGap (me) returns Real from Standard raises NotDone ;
-- returns the maximum normal curvature gap
-- the following functions check the local continuity and return
-- true if the required continuity is satisfied :
IsC0(me) returns Boolean from Standard
raises NotDone ;
-- returns true if the local continuity is C0 that is :
-- ContC0(me) < EpsC0
IsC1(me) returns Boolean from Standard
raises NotDone ;
-- returns true if the local continuity is C1 that is :
-- C0Value (me) < EpsC0 ,
-- C1UAngle (me) < EpsC1
-- C1VAngle (me) < EpsC1
IsC2(me) returns Boolean from Standard
raises NotDone ;
-- returns true if the local continuity is C2 that is :
-- C0Value (me) < EpsC0,
-- C1UAngle(me) < EpsC1
-- C1VAngle(me) < EpsC1
-- C2UAngle(me) < EpsC2
-- C2VAngle(me) < EpsC2
-- C2URatio(me) is the square of C1URatio up to a tolerance
-- C2VRatio(me) is the square of C1VRatio up to a tolerance
--
IsG1(me) returns Boolean from Standard
raises NotDone ;
-- returns true is the local continuity is G1 that is
-- C0Value(me) < EpsC0
-- G1Angle(me) < EpsG1
--
IsG2(me) returns Boolean from Standard
raises NotDone ;
-- returns true is the local continuity is G2
-- The following function are private and used in the constructor
SurfC0(me:in out; Surf1, Surf2: SLProps from GeomLProp) is private ;
SurfC1(me:in out; Surf1, Surf2:in out SLProps from GeomLProp)is private ;
SurfC2(me:in out; Surf1, Surf2:in out SLProps from GeomLProp)is private;
SurfG1(me:in out; Surf1, Surf2:in out SLProps from GeomLProp) is private;
SurfG2(me:in out; Surf1, Surf2:in out SLProps from GeomLProp) is private;
fields
myContC0 : Real from Standard;
myContC1U : Real from Standard;
myContC1V : Real from Standard;
myContC2U : Real from Standard;
myContC2V : Real from Standard;
myContG1 : Real from Standard;
myLambda1U : Real from Standard;
myLambda2U : Real from Standard;
myLambda1V : Real from Standard;
myLambda2V : Real from Standard;
myETA1 : Real from Standard;
myETA2 : Real from Standard;
myETA : Real from Standard;
myZETA1 : Real from Standard;
myZETA2 : Real from Standard;
myZETA : Real from Standard;
myAlpha : Real from Standard;
myTypeCont : Shape from GeomAbs;
myepsC0 : Real from Standard;
myepsnul : Real from Standard;
myepsC1 : Real from Standard;
myepsC2 : Real from Standard;
myepsG1 : Real from Standard;
myperce : Real from Standard;
mymaxlen : Real from Standard;
myGap : Real from Standard;
myIsDone : Boolean from Standard;
myErrorStatus : StatusErrorType from LocalAnalysis;
end SurfaceContinuity;
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