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0001 // Created on: 1995-05-30 0002 // Created by: Xavier BENVENISTE 0003 // Copyright (c) 1995-1999 Matra Datavision 0004 // Copyright (c) 1999-2014 OPEN CASCADE SAS 0005 // 0006 // This file is part of Open CASCADE Technology software library. 0007 // 0008 // This library is free software; you can redistribute it and/or modify it under 0009 // the terms of the GNU Lesser General Public License version 2.1 as published 0010 // by the Free Software Foundation, with special exception defined in the file 0011 // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT 0012 // distribution for complete text of the license and disclaimer of any warranty. 0013 // 0014 // Alternatively, this file may be used under the terms of Open CASCADE 0015 // commercial license or contractual agreement. 0016 0017 #ifndef _Convert_CompPolynomialToPoles_HeaderFile 0018 #define _Convert_CompPolynomialToPoles_HeaderFile 0019 0020 #include <Standard.hxx> 0021 #include <Standard_DefineAlloc.hxx> 0022 #include <Standard_Handle.hxx> 0023 #include <Standard_Macro.hxx> 0024 0025 #include <NCollection_Array1.hxx> 0026 #include <NCollection_HArray1.hxx> 0027 #include <NCollection_Array2.hxx> 0028 #include <NCollection_HArray2.hxx> 0029 0030 //! Convert a serie of Polynomial N-Dimensional Curves 0031 //! that are have continuity CM to an N-Dimensional Bspline Curve 0032 //! that has continuity CM. 0033 //! (to convert an function (curve) polynomial by span in a BSpline) 0034 //! This class uses the following arguments : 0035 //! NumCurves : the number of Polynomial Curves 0036 //! Continuity: the requested continuity for the n-dimensional Spline 0037 //! Dimension : the dimension of the Spline 0038 //! MaxDegree : maximum allowed degree for each composite 0039 //! polynomial segment. 0040 //! NumCoeffPerCurve : the number of coefficient per segments = degree - 1 0041 //! Coefficients : the coefficients organized in the following way 0042 //! [1..<myNumPolynomials>][1..myMaxDegree +1][1..myDimension] 0043 //! that is : index [n,d,i] is at slot 0044 //! (n-1) * (myMaxDegree + 1) * myDimension + (d-1) * myDimension + i 0045 //! PolynomialIntervals : nth polynomial represents a polynomial between 0046 //! myPolynomialIntervals->Value(n,0) and 0047 //! myPolynomialIntervals->Value(n,1) 0048 //! TrueIntervals : the nth polynomial has to be mapped linearly to be 0049 //! defined on the following interval : 0050 //! myTrueIntervals->Value(n) and myTrueIntervals->Value(n+1) 0051 //! so that it adequately represents the function with the 0052 //! required continuity 0053 class Convert_CompPolynomialToPoles 0054 { 0055 public: 0056 DEFINE_STANDARD_ALLOC 0057 0058 //! Warning! 0059 //! Continuity can be at MOST the maximum degree of 0060 //! the polynomial functions 0061 //! TrueIntervals : 0062 //! this is the true parameterisation for the composite curve 0063 //! that is : the curve has myContinuity if the nth curve 0064 //! is parameterized between myTrueIntervals(n) and myTrueIntervals(n+1) 0065 //! 0066 //! Coefficients have to be the implicit "c form": 0067 //! Coefficients[Numcurves][MaxDegree+1][Dimension] 0068 //! 0069 //! Warning! 0070 //! The NumberOfCoefficient of an polynome is his degree + 1 0071 //! Example: To convert the linear function f(x) = 2*x + 1 on the 0072 //! domaine [2,5] to BSpline with the bound [-1,1]. Arguments are : 0073 //! NumCurves = 1; 0074 //! Continuity = 1; 0075 //! Dimension = 1; 0076 //! MaxDegree = 1; 0077 //! NumCoeffPerCurve [1] = {2}; 0078 //! Coefficients[2] = {1, 2}; 0079 //! PolynomialIntervals[1,2] = {{2,5}} 0080 //! TrueIntervals[2] = {-1, 1} 0081 Standard_EXPORT Convert_CompPolynomialToPoles( 0082 const int NumCurves, 0083 const int Continuity, 0084 const int Dimension, 0085 const int MaxDegree, 0086 const occ::handle<NCollection_HArray1<int>>& NumCoeffPerCurve, 0087 const occ::handle<NCollection_HArray1<double>>& Coefficients, 0088 const occ::handle<NCollection_HArray2<double>>& PolynomialIntervals, 0089 const occ::handle<NCollection_HArray1<double>>& TrueIntervals); 0090 0091 //! To Convert several span with different order of Continuity. 0092 //! Warning: The Length of Continuity have to be NumCurves-1 0093 Standard_EXPORT Convert_CompPolynomialToPoles( 0094 const int NumCurves, 0095 const int Dimension, 0096 const int MaxDegree, 0097 const NCollection_Array1<int>& Continuity, 0098 const NCollection_Array1<int>& NumCoeffPerCurve, 0099 const NCollection_Array1<double>& Coefficients, 0100 const NCollection_Array2<double>& PolynomialIntervals, 0101 const NCollection_Array1<double>& TrueIntervals); 0102 0103 //! To Convert only one span. 0104 Standard_EXPORT Convert_CompPolynomialToPoles( 0105 const int Dimension, 0106 const int MaxDegree, 0107 const int Degree, 0108 const NCollection_Array1<double>& Coefficients, 0109 const NCollection_Array1<double>& PolynomialIntervals, 0110 const NCollection_Array1<double>& TrueIntervals); 0111 0112 //! Returns the number of poles of the n-dimensional BSpline. 0113 [[nodiscard]] Standard_EXPORT int NbPoles() const; 0114 0115 //! Returns the poles of the n-dimensional BSpline 0116 //! in the following format: 0117 //! [1..NumPoles][1..Dimension] 0118 [[nodiscard]] Standard_EXPORT const NCollection_Array2<double>& Poles() const; 0119 0120 //! Returns the poles of the n-dimensional BSpline via output parameter. 0121 Standard_DEPRECATED("Use Poles() returning const reference instead") 0122 Standard_EXPORT void Poles(occ::handle<NCollection_HArray2<double>>& thePoles) const; 0123 0124 //! Returns the degree of the n-dimensional BSpline. 0125 [[nodiscard]] Standard_EXPORT int Degree() const; 0126 0127 //! Returns the number of knots of the n-dimensional BSpline. 0128 [[nodiscard]] Standard_EXPORT int NbKnots() const; 0129 0130 //! Returns the knots of the n-dimensional BSpline. 0131 [[nodiscard]] Standard_EXPORT const NCollection_Array1<double>& Knots() const; 0132 0133 //! Returns the knots of the n-dimensional BSpline via output parameter. 0134 Standard_DEPRECATED("Use Knots() returning const reference instead") 0135 Standard_EXPORT void Knots(occ::handle<NCollection_HArray1<double>>& theKnots) const; 0136 0137 //! Returns the multiplicities of the knots in the BSpline. 0138 [[nodiscard]] Standard_EXPORT const NCollection_Array1<int>& Multiplicities() const; 0139 0140 //! Returns the multiplicities of the knots via output parameter. 0141 Standard_DEPRECATED("Use Multiplicities() returning const reference instead") 0142 Standard_EXPORT void Multiplicities(occ::handle<NCollection_HArray1<int>>& theMults) const; 0143 0144 //! Returns true if the conversion was successful. 0145 [[nodiscard]] Standard_EXPORT bool IsDone() const; 0146 0147 private: 0148 Standard_EXPORT void Perform(const int NumCurves, 0149 const int MaxDegree, 0150 const int Dimension, 0151 const NCollection_Array1<int>& NumCoeffPerCurve, 0152 const NCollection_Array1<double>& Coefficients, 0153 const NCollection_Array2<double>& PolynomialIntervals, 0154 const NCollection_Array1<double>& TrueIntervals); 0155 0156 NCollection_Array1<double> myFlatKnots; 0157 NCollection_Array1<double> myKnots; 0158 NCollection_Array1<int> myMults; 0159 NCollection_Array2<double> myPoles; 0160 int myDegree; 0161 bool myDone; 0162 }; 0163 0164 #endif // _Convert_CompPolynomialToPoles_HeaderFile
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