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PlotterHMI/datafile/dxf/dxflib/PDSMath/3BSpline.h

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20240315 1、增加数据分割功能（完成） 2、更换dxf库（进行中）
2024-03-15 08:49:50 +00:00
/////////////////////////////////////////////////////////////////////////////
//
// 3BSpline.h - the class of B Spline
//
// <09><><EFBFBD><EFBFBD>B<EFBFBD><42><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
//
/////////////////////////////////////////////////////////////////////////////
#if !defined(_BSPLINE_H)
#define _BSPLINE_H
#include <afxtempl.h>
#include "Point3D.h"
class C3BSpline;
typedef class C3BSpline * LP3BSpline;
class C3BSpline : public CObject
{
// Attribute
private:
CArray <CPoint_3D,CPoint_3D> m_arrayControlPoints; //Array of Control Points<74><73><EFBFBD><EFBFBD><EFBFBD>Ƶ<EFBFBD><C6B5><EFBFBD><EFBFBD><EFBFBD>
CArray <double,double> m_arrayWeight; //Array of Weight Ȩ<><C8A8><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
UINT m_nControlPointsCount; //Number of Control Points Array (also of Weight Array)<29><><EFBFBD>Ƶ<EFBFBD><C6B5><EFBFBD><EFBFBD>飨Ȩ<E9A3A8><C8A8><EFBFBD><EFBFBD><EFBFBD>飩<EFBFBD><E9A3A9>Ŀ
CArray <double,double> m_arrayKnots; //Sequence of Knots <20>ڵ<EFBFBD><DAB5><EFBFBD><EFBFBD><EFBFBD>
UINT m_nKnotsCount; //Number of Knots <20>ڵ<EFBFBD><DAB5><EFBFBD><EFBFBD><EFBFBD>
UINT m_nDegree; //Degree of Nurbs Curve (=k-1) <20>Ǿ<EFBFBD><C7BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>B<EFBFBD><42><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ߵĽ<DFB5>
char m_cCurveType; //Type of Nurbs Curve <20>Ǿ<EFBFBD><C7BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>B<EFBFBD><42><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ߵ<EFBFBD><DFB5><EFBFBD><EFBFBD><EFBFBD>
//'U'<27><>Uniform B-Spline <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>B<EFBFBD><42><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
//'Q'<27><>Quasi Uniform B-Spline ׼<><D7BC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>B<EFBFBD><42><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
//'P'<27><>Piecewise Bezier Spline <20>ֶ<EFBFBD>Bezier<65><72><EFBFBD><EFBFBD>
//'N'<27><>Non-Uniform B Spline <20>Ǿ<EFBFBD><C7BE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>B<EFBFBD><42><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
//'C'<27><>Set Knots Custom <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƽڵ<C6BD>
BOOL m_bInputByValuePoints; //Sign of Input Points Type <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ͱ<EFBFBD><CDB1><EFBFBD>
UINT m_nDispCount; //Display Count between two Knots <20><><EFBFBD>ڵ<EFBFBD>֮<EFBFBD><D6AE><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʾ<EFBFBD><CABE><EFBFBD><EFBFBD>
CArray <CPoint_3D,CPoint_3D> m_arrayDisplayPoints; //Value Points to Display <20><><EFBFBD><EFBFBD>ʾ<EFBFBD><CABE>ȡֵ<C8A1><D6B5>
CArray <double,double> m_arrayCurrentParameter; //Parameter Array of Display Points <20><>ʾ<EFBFBD><CABE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
CArray <double,double> m_arrayCurrentDistance; //Distance Array of Display Points <20><>ʾ<EFBFBD><CABE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
BOOL m_bGetDisplayPoints; //Sign of Calculate of Value Points ȡֵ<C8A1><D6B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
BOOL m_bModified; //Sigh of Modifying of Curve (Need of reCalculate) <20><><EFBFBD>߸<EFBFBD><DFB8>ı<EFBFBD><C4B1>ǣ<EFBFBD><C7A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¼<EFBFBD><C2BC>㣩
CArray <CPoint_3D,CPoint_3D> m_arrayInputPoints; //Input Points (may be Control Points or Value Points)
CArray <double,double> m_arrayInPntPara; //Input Points parameter
CVector m_BaseVector; //Base Vector of the Curve
public:
BOOL m_bKnotsWeightsSeted; //Sign of Knots and Weights Seted
BOOL m_bHighLightBegin; // sign of begin point highlight
BOOL m_bHighLightEnd; // sign of end point highlight
BOOL m_bDispBE; // sign of start and end point highlight
int m_nFlag; // 0: neither TP nor CP points is diplayed;
//1:only TP is displayed;
// 2:only CP is displayed; 3:both TP and CP is displayed
// 4: TP and curve direction
// 5: display length
// 6: diaply length ruler
// Operation
public:
// Is close curve
BOOL IsClose();
// C++ constructor, creating a C3BSpline, set some value as default
C3BSpline();
// C++ constructor, creating a C3BSpline from a C3BSpline object
C3BSpline(C3BSpline const& bsc);
// C++ deconstructor, free unused memory
virtual ~C3BSpline();
// Get curve control points count( sequence number From 0 to n, totally: n+1, return: n+1 )
// Return count in 'UINT' data type
UINT GetControlPointsCount();
// Set curve control points count, this function is ready for the function "SetControlPoint"
void SetControlPointsCount(UINT nCount);
// Get curve control point value by index( begin from 0 to n )
// Modify input parameter( 3 of double) as return
void GetControlPoint(UINT nIndex, double &x, double &y, double &z);
// Get curve control point value by index( begin from 0 to n )
// Return the value in 'CPoint_3D' data type
CPoint_3D GetControlPoint(UINT nIndex);
// Set curve control point by index( begin from 0 to n ) and its X, Y, Z value( double )
void SetControlPoint(UINT nIndex, double x, double y, double z);
// Set curve control point by index( begin from 0 to n ) and the position value
void SetControlPoint(UINT nIndex, const CPoint_3D CP);
// Set curve control point value with two dimension double array( double v[count][3], each v[*] contains X, Y, Z value )
void SetControlPoints(double **nPoint);
// Remember: we don't get the weights count because it's just as same as the control points count
// Get curve weight value by index( begin from 0 to n )
// Return weight in 'double' data type
double GetWeight(UINT nIndex);
// Set curve weight by index( begin from 0 to n ) and the double value
void SetWeight(UINT nIndex, double nWeight);
// Set curve weights by double array
void SetWeights(double *nWeight);
// Get curve knots count( if everything is all right, it must be m_nControlPointsCount+m_nDegree+1 )
// Return count in 'UINT' data type
UINT GetKnotsCount();
// Set curve knots count, this function is ready for the function "SetKnot"
void SetKnotsCount(UINT nCount);
// Get curve knot value by index( begin from 0 to n )
// Return knot in 'double' data type
double GetKnot(UINT nIndex);
// Set curve knot by index( begin from 0 to n ) and the double value
void SetKnot(UINT nIndex, double nKnot);
// Set curve knots by double array
void SetKnots(double *nKnot);
// We presume that you have set the control points, you can set the curve's weights and knots by this function
// or you can set them yourself. We supply 4 modes list( all modes set weght as 1.0f ), Mode set to be 1 as default( no parameter input ):
// Mode==1: Uniform B-Spline. The knots space between are as same as 1.0f, knots begin from (-m_nDegree).
// Mode==2: Quasi Uniform B-Spline. Just as Uniform B-Spline but the knots space between in first (m_nDegree+1) knots and terminal (m_nDegree+1) knots are 0.0f.
// Mode==3: Piecewise Bezier Spline. First (m_nDegree+1) knots are set to be 0.0f, and terminal (m_nDegree+1) knots are set to be 1.0f. The middle left are set to be 0.5f.
// Mode==4: Non-Uniform B Spline. First (m_nDegree+1) knots are set to be 0.0f, and terminal (m_nDegree+1) knots are set to be 1.0f. The middle left knots space between are determined by length of two input points one by one.
void SetCurveKnotsWeights(int Mode=1);
// Set curve degree( the constructor set degree to 3 as default, we advise you don't use others )
void SetDegree(UINT nDegree);
// Get curve degree value
// return degree value in 'UINT' data type
UINT GetDegree();
// Get point coordinate that in the curve by parameter
// Modify input parameter( 3 of double) as return
void GetPointCoordinate(double u, double &x, double &y ,double &z);
// Get point coordinate that in the curve by parameter
// Return coordinate in 'CPoint_3D' data type
CPoint_3D GetPointCoordinate(double u);
// Set curve input type( input by control points as 'C'(default) and input by value points as 'V' )
void SetInputType(char inType='C');
// Set curve input by value points
void SetInputByValuePoints();
// Set curve input by control points
void SetInputByControlPoints();
// Get curve input type( input by control points as 'C'(default) and input by value points as 'V' )
// Return type in 'char' data type
char GetInputType();
// Test if curve is input by value points
// Return logical result in 'BOOL' data type
BOOL IsInputByValuePoints();
// Test if curve is input by control points
// Return logical result in 'BOOL' data type
BOOL IsInputByControlPoints();
// Set curve Display Count<6E><74><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʾ<EFBFBD><CABE><EFBFBD>ȣ<EFBFBD>
void SetDisplayCount(UINT Count);
// Get curve Display Count<6E><74><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʾ<EFBFBD><CABE><EFBFBD>ȣ<EFBFBD>
UINT GetDisplayCount();
// Get curve display points count( sequence number From 0 to n, totally: n+1, return: n+1 )
// Return count in 'UINT' data type
UINT GetDisplayPointsCount();
// Get curve control point value by index( begin from 0 to n )
// Modify input parameter( 3 of double) as return
void GetDisplayPoint(UINT nIndex, double &x, double &y, double &z);
// Get curve control point value by index( begin from 0 to n )
// Return the value in 'CPoint_3D' data type
CPoint_3D GetDisplayPoint(UINT nIndex);
/*// Set curve display tolerance
void SetDisplayTolerance(double tlrnc);
// Get curve display tolerance
// Return the value in 'double' type
double GetDisplayTolerance();*/
// Calculate curve display points also calculate every point's parameter and cumulating chordal length
// The value store in class member data
void CalculateDisplayPoints();
// get start point of the curve
CPoint_3D Start_pos();
// get end point of the curve
CPoint_3D End_pos();
// Add curve input point
int AddInputPoints(CPoint_3D new_InP);
// Get input value points count
int GetValuePointsCount();
// Set curve input points count, this function is ready for the function "SetInputPoint"
void SetInputPointsCount(UINT nCount);
// Set curve input point by index and the CPoint_3D of point
void SetInputPoint(UINT nIndex, const CPoint_3D mod_InP);
// Set curve input point by index and the X, Y, Z value of point
void SetInputPoint(UINT nIndex, double x, double y, double z);
// Get curve input points count
int GetInputPointsCount();
// Get curve input point value by index( begin from 0 to n )
// Modify input parameter( 3 of double) as return
void GetInputPoint(UINT nIndex, double &x, double &y, double &z);
// Get curve control point value by index( begin from 0 to n )
// Return the value in 'CPoint_3D' data type
CPoint_3D GetInputPoint(UINT nIndex);
// Get curve input point parameter by index( begin from 0 to n )
double GetInputPointPara(UINT nIndex);
// Clear all input points
void ClearInputPoints();
// Init value points
void InitValuePoints();
// Set curve base vector to move the curve in vector value
void SetBaseVector(double x, double y, double z);
// Get curve last movement value
// Modify input parameter as return
void GetBaseVector(double &x, double &y, double &z);
// Get curve control points by input points. If the input points are control points, we set the knots and weights by 'Mode' input.
// If the input points are value points, we calculate the control points by 'Mode' and set knots and weights in Mode=4.
// That is to say: 'Mode' has different meanings in different input type.
void GetControlPointsByInputPoints(int Mode=3);
// Calculate control points by input value points. Here the knots sequence is uniform: from (-m_nDegree) add 1 to (m_nControlPointsCount+m_nDegree)
// P: Control Points; Q: Value Points; Q`: Unit Vector of Value Points
// Mode==1 Condition: P1=Q1, Pn=Qn ==>> P0=2*P1-P2, Pn+1=2Pn-Pn-1
// Mode==2 Closed period B-Spline (m_nDegree==3) ==>> P0=Pn, Pn+1=P1
// Mode==3 P0=Pn, Pn=1=Pn
// Mode==4 Know Q`1 and Q`n (we calculate it with input points)
// Q`1=(P2-P0)/2, Q1=(P0+4*P1+P2)/6 ==>> P0=P2-2*Q`1, 2*P1/3+P2/3=Q1+Q`1/3
// Q`n=(Pn+1-Pn)/2, Qn=(Pn-1+4*Pn+Pn+1)/6 ==>> Pn-1=Pn+1-2*Q`n, Pn-1/3+2*Pn/3=Qn-Q`n/3
void GetControlPointsByValuePoints(int Mode=3);
// Calculate control points by input value points. Here the knots sequence is set by cumulating bowstring length
// P: Control Points; Q: Value Points; Q`: Unit Vector of Value Points
// Mode==1 Condition: P1=Q1, Pn=Qn ==>> P0=2*P1-P2, Pn+1=2Pn-Pn-1
// Mode==2 Closed period B-Spline (m_nDegree==3) ==>> P0=Pn, Pn+1=P1
// Mode==3 P0=Pn, Pn=1=Pn
// Mode==4 Know Q`1 and Q`n (we calculate it with input points)
// Q`1=(P2-P0)/2, Q1=(P0+4*P1+P2)/6 ==>> P0=P2-2*Q`1, 2*P1/3+P2/3=Q1+Q`1/3
// Q`n=(Pn+1-Pn)/2, Qn=(Pn-1+4*Pn+Pn+1)/6 ==>> Pn-1=Pn+1-2*Q`n, Pn-1/3+2*Pn/3=Qn-Q`n/3
void GetCPByVP(int Mode=3);
// Calculate control points by input value points. Here the knots sequence is set by cumulating bowstring length
// P: Control Points; Q: Value Points; Q`: Unit Vector of Value Points
// Here we know Q`1(start_dir) and Q`n(end_dir) as input
// Q`1=(P2-P0)/2, Q1=(P0+4*P1+P2)/6 ==>> P0=P2-2*Q`1, 2*P1/3+P2/3=Q1+Q`1/3
// Q`n=(Pn+1-Pn)/2, Qn=(Pn-1+4*Pn+Pn+1)/6 ==>> Pn-1=Pn+1-2*Q`n, Pn-1/3+2*Pn/3=Qn-Q`n/3
void GetCPByVPMode4(CUnitVector const& start_dir, CUnitVector const& end_dir);
// Insert a knot value in a known curve, given the insert domain position and the repeat times of insert value
void InsertKnots(UINT i, UINT r, double u);
// Insert a knot value in a known curve
void InsertKnots(double u);
// Get the curve's total length
// Return the value in 'double' data type
double GetCurveLength();
// Get part length of the curve from begining, giving parameter value
// Return the part length in 'double' data type
double GetLengthByParameter(double para);
// Get curve parameter while giving the curve length from begining
// Return parameter in 'double' data type
double GetParameterByLength(double leng);
// The following fuctions are from 'CGLEntity' in virtual type
// Get the maximum length to the origin point of the curve
// Return the maximum length in 'float' data type
virtual float GetRange();
// Copy a C3BSpline
// <20><><EFBFBD><EFBFBD>һ<EFBFBD><D2BB>bs3_curve(<28><><EFBFBD><EFBFBD>C3BSpline)
void Copy(C3BSpline const& bsc);
void Copy(LP3BSpline bs);
// Get derivative of a point in the curve, giving parameter and number of derivatives to be evaluated
// Return derivative in 'vector' data type
// <20><><EFBFBD><EFBFBD>ij<EFBFBD><C4B3><EFBFBD>IJ<EFBFBD><C4B2><EFBFBD>ֵ<EFBFBD><D6B5>ָ<EFBFBD><D6B8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>õ<EFBFBD><C3B5><EFBFBD>n<EFBFBD>׵<EFBFBD><D7B5><EFBFBD>
CVector GetDerivative(double u, UINT order=1);
// Change the curve's total parameter domain, giving the begin and end point
// <20>ı<EFBFBD><C4B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><D6B5>Ĭ<EFBFBD>ϸ<EFBFBD>Ϊ<EFBFBD><CEAA>0.0<EFBFBD><EFBFBD>1.0<EFBFBD><EFBFBD>
void ChangeTotalDomain(double Begin=0.0, double End=1.0);
// Get the curve's parameter domain
// Modify given parameter as return
// <20><><EFBFBD>ò<EFBFBD><C3B2><EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD><EFBFBD>
void GetCurveDomain(double &Begin, double &End);
// Break the curve from position of given parameter
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϵ<EFBFBD><CFB5>IJ<EFBFBD><C4B2><EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD>ڸô<DAB8><C3B4><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ߣ<EFBFBD><DFA3>޸<EFBFBD>ԭ<EFBFBD><D4AD><EFBFBD><EFBFBD>Ϊǰ<CEAA>벿<EFBFBD><EBB2BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>(<28><><EFBFBD>벿)
LP3BSpline BreakCurveByParameter(double u);
// Break the curve from position of given curve length from begin
// <20><><EFBFBD><EFBFBD>ָ<EFBFBD><D6B8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>߳<EFBFBD><DFB3>ȣ<EFBFBD><C8A3>ڸ<EFBFBD>λ<EFBFBD>ý<EFBFBD><C3BD><EFBFBD><EFBFBD>ߴ<EFBFBD><DFB4>ϣ<EFBFBD><CFA3>޸<EFBFBD>ԭ<EFBFBD><D4AD><EFBFBD><EFBFBD>Ϊǰ<CEAA>벿<EFBFBD><EBB2BF><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>(<28><><EFBFBD>벿)
// <20><><EFBFBD><EFBFBD><EFBFBD>ڸ<EFBFBD><DAB8>ݳ<EFBFBD><DDB3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><CAB1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Բ<EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD>ʽϾ<CABD>ȷ
LP3BSpline BreakCurveByLength(double l);
// Reverse Curve Direction
// <20><><EFBFBD><EFBFBD><EFBFBD>߷<EFBFBD><DFB7><EFBFBD>
void ReverseDir();
// Rebuild Curve, Add Input Value Points by display points
// <20><>ȡ<EFBFBD><C8A1><EFBFBD><EFBFBD>ʾ<EFBFBD>㷽ʽ¼<CABD><C2BC><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD>㣬ͬʱ<CDAC><CAB1><EFBFBD>ݲ<EFBFBD><DDB2><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>߶˵㣬<CBB5>ؽ<EFBFBD><D8BD><EFBFBD><EFBFBD><EFBFBD>
// mode = 's' start<72><74><EFBFBD><EFBFBD>; 'e' end<6E>յ<EFBFBD>; 'b' both<74><68><EFBFBD><EFBFBD>; 'n' none<6E><65><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>˵<EFBFBD>.
// 001214 רΪ<D7A8><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>õ<EFBFBD> mode = 'q' <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>㣻'z'<27><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>յ㡣
void RebuildDir(CPoint_3D * ppb, CPoint_3D * ppe, char mode);
// Refresh input points by given new start/end point
// ֻ<>Ǹ<EFBFBD><C7B8>ݲ<EFBFBD><DDB2><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>(<28><><EFBFBD><EFBFBD>)<29><><EFBFBD>ߵĶ˵㣬<CBB5><E3A3AC><EFBFBD>ı<EFBFBD><C4B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
BOOL RefreshInputPoints(CPoint_3D * ppb, CPoint_3D * ppe, char mode);
// <20><><EFBFBD>ݴ<EFBFBD><DDB4><EFBFBD><EFBFBD><EFBFBD><EFBFBD>߳<EFBFBD><DFB3>ȣ<EFBFBD><C8A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϵĵ㣬<C4B5><E3A3AC><EFBFBD>ڽ<EFBFBD><DABD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Բ<EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD>ȽϾ<C8BD>ȷ
CPoint_3D GetPositionByLength(double leng);
// <20>ж<EFBFBD><D0B6><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƿ<EFBFBD><C7B7><EFBFBD><EFBFBD><EFBFBD>
BOOL IsClosed();
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><D6B5>
void ResetInputValuePoints(int type);
// Unite two curves. The first curve's end point must be same as the second's begin point
// Return the result of unite curve with its pointer. We don't delete the origin curves
// <20>ϲ<EFBFBD><CFB2><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ߣ<EFBFBD><DFA3>ϲ<EFBFBD><CFB2><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ɺ<EFBFBD><C9BA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>أ<EFBFBD><D8A3><EFBFBD>ԭ<EFBFBD><D4AD><EFBFBD>߲<EFBFBD>δ<EFBFBD>Ķ<EFBFBD>(<28><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֹ<EFBFBD>ɾ<EFBFBD><C9BE>)
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>߱<EFBFBD><DFB1>뱣֤<EBB1A3>˵㴦<CBB5><E3B4A6><EFBFBD><EFBFBD>
LP3BSpline UniteTwoCurve(LP3BSpline FirstCurve, LP3BSpline SecondCurve);
// Get parameter of the curve, giving its start parameter and length from the start point
// Return parameter in 'double' data type
// <20><><EFBFBD><EFBFBD>ָ<EFBFBD><D6B8><EFBFBD><EFBFBD><EFBFBD>㴦<EFBFBD><E3B4A6><EFBFBD><EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ӹõ㴦<C3B5><E3B4A6>ʼ<EFBFBD><CABC><EFBFBD><EFBFBD>ֵΪlength<74><68><EFBFBD>ĵ<EFBFBD><C4B5>IJ<EFBFBD><C4B2><EFBFBD>
double BS3_curve_length_param(
double start, // parameter to datum point
double length); // length
// Gets an arbitrary number of derivatives of a curve
// Return the actual number of derivatives calculated
// <20><><EFBFBD><EFBFBD><EFBFBD>߲<EFBFBD><DFB2><EFBFBD><EFBFBD>㴦<EFBFBD><E3B4A6>һ<EFBFBD><D2BB>/<2F><><EFBFBD><EFBFBD> <20><>/<2F><>ʸ
int BS3_curve_evaluate(
double param, // given parameter
CPoint_3D& pos, // returned CPoint_3D
CVector& deriv, // returned derivatives
int order); // number of derivatives to be evaluated, order=1,2
// Evaluates the curve at the given parameter value
// Return the value in 'CPoint_3D' data type
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>߲<EFBFBD><DFB2><EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD>ĵ<EFBFBD>
CPoint_3D BS3_curve_position(
double param); // given parameter value
// Gets the signed arc length of the curve between two parameter values.
// Return the length in 'double' data type
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>(<28><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ)<29><><EFBFBD><EFBFBD><EFBFBD>ߵij<DFB5><C4B3><EFBFBD>
double BS3_curve_param_length(
double start, // parameter of start point
double end); // parameter of end point
// Creates a curve that interpolates or fits to the given tolerance the given points, with the given tangent directions at the two end points
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD><EFBFBD>(CPoint_3D<33><44><EFBFBD><EFBFBD>)<29><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>յ<EFBFBD><D5B5><EFBFBD>ʸ<EFBFBD><CAB8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>bs3_curve<76><65><EFBFBD><EFBFBD>
LP3BSpline BS3_curve_interp(
int npts, // number of points to interpolate
CPoint_3D const* pts, // points to interpolate or fit
CUnitVector const& start_dir, // start direction vector
CUnitVector const& end_dir, // end direction vector
double fitol, // fit tolerance
double& actual_tol); // returned actual tolerance used
// Creates a curve given value points
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD><EFBFBD>(CPoint_3D<33><44><EFBFBD><EFBFBD>)<29><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>bs3_curve<76><65><EFBFBD><EFBFBD>
LP3BSpline BS3_curve_interp(
int npts, // number of points to interpolate
CPoint_3D const* pts); // points to interpolate or fit
private:
// Get B_Spline basic function value
// Return the value in 'double' data type
double N_u(UINT i, UINT k, double u);
// Used for function "N_u3"
double NA(UINT i, UINT k, double u);
double NB(UINT i, UINT k, double u);
// Get B_Spline basic function value( m_nDegree=3 )
// Return the value in 'double' data type
double N_u3(UINT i, double u);
// Get point in the curve by index and parameter value use "de Boor Arithmetic of B_Spline"
// Return the value in 'CPoint_3D' data type
CPoint_3D P_u(UINT i, double u);
// Calculate distance between two input points one by one( this function only used in function "SetCurveKnotsWeights" )
// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ľ<EFBFBD><C4BE><EFBFBD>
double Dist_2P(UINT nIndex);
// Found parameter domain between two knots
// Return first knot's index in 'int' data type
// <20>ҵ<EFBFBD><D2B5><EFBFBD><EFBFBD><EFBFBD>ֵ<EFBFBD><D6B5><EFBFBD>ڵĽڵ<C4BD><DAB5><EFBFBD><EFBFBD>䣨<EFBFBD><E4A3A8><EFBFBD><EFBFBD>ֵ<EFBFBD><D6B5>ǰһ<C7B0><D2BB><EFBFBD>ڵ<EFBFBD>λ<EFBFBD>ã<EFBFBD>
int FoundKnotsDomain(double u);
};
#endif
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