-- Created on: 1995-05-30 -- Created by: Xavier BENVENISTE -- Copyright (c) 1995-1999 Matra Datavision -- Copyright (c) 1999-2014 OPEN CASCADE SAS -- -- This file is part of Open CASCADE Technology software library. -- -- This library is free software; you can redistribute it and / or modify it -- under the terms of the GNU Lesser General Public version 2.1 as published -- by the Free Software Foundation, with special exception defined in the file -- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT -- distribution for complete text of the license and disclaimer of any warranty. -- -- Alternatively, this file may be used under the terms of Open CASCADE -- commercial license or contractual agreement. class CompPolynomialToPoles from Convert ---Purpose: To convert an function (curve) polynomial by span in a BSpline. -- -- This class uses the following arguments : -- NumCurves : the number of Polynomial Curves -- Continuity: the requested continuity for the n-dimensional Spline -- Dimension : the dimension of the Spline -- MaxDegree : maximum allowed degree for each composite -- polynomial segment. -- NumCoeffPerCurve : the number of coefficient per segments = degree - 1 -- Coefficients : the coefficients organized in the following way -- [1..][1..myMaxDegree +1][1..myDimension] -- that is : index [n,d,i] is at slot -- (n-1) * (myMaxDegree + 1) * myDimension + (d-1) * myDimension + i -- PolynomialIntervals : nth polynomial represents a polynomial between -- myPolynomialIntervals->Value(n,0) and -- myPolynomialIntervals->Value(n,1) -- TrueIntervals : the nth polynomial has to be mapped linearly to be -- defined on the following interval : -- myTrueIntervals->Value(n) and myTrueIntervals->Value(n+1) -- so that it represent adequatly the function with the -- required continuity uses Array1OfReal from TColStd, HArray1OfReal from TColStd, HArray2OfReal from TColStd, HArray1OfInteger from TColStd, Array1OfReal from TColStd, Array2OfReal from TColStd, Array1OfInteger from TColStd, Shape from GeomAbs raises OutOfRange from Standard, ConstructionError from Standard is Create(NumCurves : Integer ; Continuity : Integer ; Dimension : Integer ; MaxDegree : Integer ; NumCoeffPerCurve : HArray1OfInteger from TColStd ; Coefficients : HArray1OfReal from TColStd ; PolynomialIntervals : HArray2OfReal from TColStd ; TrueIntervals : HArray1OfReal from TColStd) raises ConstructionError ; ---Purpose: Warning! -- Continuity can be at MOST the maximum degree of -- the polynomial functions -- TrueIntervals : -- this is the true parameterisation for the composite curve -- that is : the curve has myContinuity if the nth curve -- is parameterized between myTrueIntervals(n) and myTrueIntervals(n+1) -- -- Coefficients have to be the implicit "c form": -- Coefficients[Numcurves][MaxDegree+1][Dimension] -- -- Warning! -- The NumberOfCoefficient of an polynome is his degree + 1 -- Example: To convert the linear function f(x) = 2*x + 1 on the -- domaine [2,5] to BSpline with the bound [-1,1]. Arguments are : -- NumCurves = 1; -- Continuity = 1; -- Dimension = 1; -- MaxDegree = 1; -- NumCoeffPerCurve [1] = {2}; -- Coefficients[2] = {1, 2}; -- PolynomialIntervals[1,2] = {{2,5}} -- TrueIntervals[2] = {-1, 1} Create(NumCurves : Integer ; Dimension : Integer ; MaxDegree : Integer ; Continuity : Array1OfInteger from TColStd ; NumCoeffPerCurve : Array1OfInteger from TColStd ; Coefficients : Array1OfReal from TColStd ; PolynomialIntervals : Array2OfReal from TColStd ; TrueIntervals : Array1OfReal from TColStd) ---Purpose: To Convert sevral span with different order of Continuity. -- Warning: The Length of Continuity have to be NumCurves-1 raises ConstructionError; Create(Dimension : Integer ; MaxDegree : Integer ; Degree : Integer ; Coefficients : Array1OfReal from TColStd ; PolynomialIntervals: Array1OfReal from TColStd ; TrueIntervals : Array1OfReal from TColStd) ---Purpose: To Convert only one span. raises ConstructionError; Perform(me : in out; NumCurves : Integer; MaxDegree : Integer; Dimension : Integer ; NumCoeffPerCurve : Array1OfInteger from TColStd ; Coefficients : Array1OfReal from TColStd; PolynomialIntervals : Array2OfReal from TColStd ; TrueIntervals : Array1OfReal from TColStd) is private; NbPoles(me) returns Integer ; -- ---Purpose: number of poles of the n-dimensional BSpline -- Poles(me; Poles : in out HArray2OfReal from TColStd) ; ---Purpose: returns the poles of the n-dimensional BSpline -- in the following format : -- [1..NumPoles][1..Dimension] -- Degree(me) returns Integer ; NbKnots(me) returns Integer ; ---Purpose: Degree of the n-dimensional Bspline Knots(me; K : in out HArray1OfReal from TColStd) ; ---Purpose: Knots of the n-dimensional Bspline Multiplicities(me; M : in out HArray1OfInteger from TColStd) ; ---Purpose: Multiplicities of the knots in the BSpline IsDone(me) returns Boolean ; fields myFlatKnots : HArray1OfReal from TColStd ; myKnots : HArray1OfReal from TColStd ; myMults : HArray1OfInteger from TColStd ; myPoles : HArray2OfReal from TColStd ; -- the poles of the n-dimensional Bspline organized in the following -- fashion -- [1..NumPoles][1..myDimension] myDegree : Integer ; myDone : Boolean ; end CompPolynomialToPoles ;