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-- File: LocalAnalysis_CurveContinuity.cdl
-- Created: Fri Aug 9 10:58:30 1996
-- Author: Herve LOUESSARD
-- <hl1@sgi30>
---Copyright: Matra Datavision 1996
class CurveContinuity from LocalAnalysis
---Purpose:
-- This class gives tools to check local continuity C0
-- C1 C2 G1 G2 between two points situated on two curves
uses
Shape from GeomAbs,
Boolean, Integer, Real from Standard,
Curve from Geom,
CLProps from GeomLProp,
StatusErrorType from LocalAnalysis
raises
NotDone from StdFail
is
Create( Curv1: Curve from Geom; u1: Real from Standard;
Curv2: Curve from Geom; u2: 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;
EpsG2 : Real from Standard= 0.001;
Percent :Real from Standard= 0.01;
Maxlen: Real from Standard =10000)
---Purpose:
--
-- -u1 is the parameter of the point on Curv1
-- -u2 is the parameter of the point on Curv2
-- -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 (in mm)
--
-- -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 tangents
--
-- -EpsG2 is an angular tolerance in radians used
-- for G2 continuity to compare the angle between
-- the normals
--
-- - percent : percentage of curvature variation (unitless)
-- used for G2 continuity
--
-- - Maxlen is the maximum length of Curv1 or Curv2 in
-- meters used to detect nul 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=Curv1 (u1) and
-- P2=Curv2(u2)
--
-- case C1
-- -------
--
-- - the angle between the first derivatives
-- dCurv1(u1) dCurv2(u2)
-- -------- and ---------
-- du du
--
-- - the ratio between the magnitudes of the first
-- derivatives
--
-- the angle value is between 0 and PI/2
--
-- case C2
-- -------
-- - the angle between the second derivatives
-- 2 2
-- d Curv1(u1) d Curv2(u2)
-- ---------- ----------
-- 2 2
-- du du
--
-- the angle value is between 0 and PI/2
--
-- - the ratio between the magnitudes of the second
-- derivatives
--
-- case G1
-- -------
-- the angle between the tangents at each point
--
-- the angle value is between 0 and PI/2
--
-- case G2
-- -------
-- -the angle between the normals at each point
--
-- the angle value is between 0 and PI/2
--
-- - the relative variation of curvature:
-- |curvat1-curvat2|
-- ------------------
-- 1/2
-- (curvat1*curvat2)
--
-- where curvat1 is the curvature at the first point
-- and curvat2 the curvature at the second point
--
returns CurveContinuity from LocalAnalysis;
IsDone(me) returns Boolean from Standard;
-- returns true if there is no problem in the constructor
--
StatusError(me) returns StatusErrorType from LocalAnalysis;
-- returns the error status:
-- NullFirstDerivative : one (or both) first derivative is null
-- NullSecondDerivative: one (or both) second derivative is null
-- TangentNotDefined: one (or both) tangent is undefined
-- NormalNotDefined: one (or both) normal is undefined
ContinuityStatus (me) returns Shape from GeomAbs raises NotDone ;
-- returns the continuity required in the constructor
-- 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=Curv1 (u1) and
-- P2=Curv2(u2)
C1Angle(me) returns Real from Standard raises NotDone ;
-- returns the angle between the first derivatives :
-- dCurv1(u1) dCurv2(u2)
-- -------- and ---------
-- du du
--
-- the angle value is 0 and PI/2
C1Ratio(me) returns Real from Standard raises NotDone ;
-- returns the ratio between the magnitudes of the first
-- derivatives dCurv1(u1) dCurv2(u2)
-- -------- and ---------
-- du du
C2Angle(me) returns Real from Standard raises NotDone ;
-- returns the angle between the second derivatives
-- 2 2
-- d Curv1(u1) d Curv2(u2)
-- ---------- and ----------
-- 2 2
-- du du
--
-- the angle value is between 0 and PI/2
C2Ratio(me) returns Real from Standard raises NotDone;
-- returns the ratio between the magnitudes of the second
-- derivatives 2 2
-- d Curv1(u1) d Curv2(u2)
-- ---------- and ----------
-- 2 2
-- du du
G1Angle(me) returns Real from Standard raises NotDone ;
-- returns the angle between the tangents at each point
-- the angle value is between 0 and PI/2
G2Angle(me) returns Real from Standard raises NotDone ;
-- returns the angle between the normals at each point
-- the angle value is between 0 and PI/2
G2CurvatureVariation(me) returns Real from Standard raises NotDone;
-- returns the relative variation of curvature
-- 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 :
-- C0Value(me) < EpsC0
IsC1(me) returns Boolean from Standard
raises NotDone ;
-- returns true if the local continuity is C1 that is :
-- C0Value(me) < EpsC0
-- C1Angle(me) < EpsC1
IsC2(me) returns Boolean from Standard
raises NotDone;
-- returns true if the local continuity is C2 that is :
-- C0Value(me) < EpsC0 ,
-- C1Angle(me) < EpsC1
-- C2Angle (me) < EpsC2 and
-- C2Ratio is the square of C1Ratio 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 and
-- G1Angle(me)< EpsG1
IsG2(me) returns Boolean from Standard
raises NotDone;
-- returns true if the local continuity is G2 that is
-- C0Value(me) < EpsC0,
-- G1Angle(me) < EpsG1
-- G2Angle(me) < EpsG2
-- G2CurvatureVariation < percent
-- The following function are private and used in the constructor
--
CurvC0(me:in out; Curv1, Curv2 : out CLProps from GeomLProp)is private;
CurvC1(me:in out; Curv1, Curv2 : out CLProps from GeomLProp ) is private;
CurvC2(me :in out ; Curv1, Curv2 : out CLProps from GeomLProp)is private;
CurvG1(me:in out; Curv1, Curv2 :out CLProps from GeomLProp ) is private ;
CurvG2(me:in out; Curv1, Curv2 :out CLProps from GeomLProp)is private ;
fields
myContC0 : Real from Standard;
myContC1 : Real from Standard;
myContC2 : Real from Standard;
myContG0 : Real from Standard;
myContG1 : Real from Standard;
myContG2 : Real from Standard;
myCourbC1 : Real from Standard;
myCourbC2 : Real from Standard;
myG2Variation : Real from Standard;
myLambda1 : Real from Standard;
myLambda2 : Real from Standard;
myTypeCont : Shape from GeomAbs;
myepsnul : Real from Standard;
myepsC0 : Real from Standard;
myepsC1 : Real from Standard;
myepsC2 : Real from Standard;
myepsG1 : Real from Standard;
myepsG2 : Real from Standard;
myMaxLon : Real from Standard;
myperce : Real from Standard;
myIsDone : Boolean from Standard;
myErrorStatus : StatusErrorType from LocalAnalysis ;
end CurveContinuity;
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