Cheb.h

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/*****************************************************************************
 $RCSfile: Cheb.h,v $ --- $Date: 2006/07/18 01:45:34 $ --- $Revision: 1.2 $
 *****************************************************************************
 PREPROCESSOR DIRECTIVES
 *****************************************************************************/

 #ifndef CALC_CHEB_H
 #define CALC_CHEB_H

/*****************************************************************************
 INCLUDE FILES
 *****************************************************************************/

 #include "Base.h"

/*****************************************************************************
 NAMESPACE IDENTIFICATIONS
 *****************************************************************************/

 namespace calc {

/*****************************************************************************
 ChebErr CLASS
 *****************************************************************************/


 class ChebErr:public Err {

 public:

 // Enumerations

    enum ERR_ENUM {
       INIT=0 ,  
       MEMORY ,  
       BOUNDS ,  
       ERR_CNT,  
    };

 // Constructors

    ChebErr(enum ChebErr::ERR_ENUM indErr):
    Err() {
       const char* const CLASS_NAME="Cheb";
       const char* const ERR_STR[ERR_CNT]={
          "object initialization error",                    // text for index INIT
          "memory allocation error",                        // text for index MEMORY
          "evaluation point outside interpolation interval" // text for index BOUNDS
       };
       setError(indErr,CLASS_NAME,ERR_STR[indErr]);
    }
 };

/*****************************************************************************
 Cheb CLASS TEMPLATE
 *****************************************************************************/

 template <typename xType, typename yType>
 class Cheb:public Base {

 // Related Classes

    friend class PrtC;

 public:

 // Member Enumerations

    enum CTYPE {
       INTERPOLATE=0,   
       DIFFERENTIATE,   
       INTEGRATE    ,   
       CTYPE_CNT    ,   
    };

 // Member Functions

    yType eval(xType x) const throw (ChebErr);

 // Conversion Functions

    operator const yType* (void) const {return (nogo?(yType*)(0):aC);}

 // Get Data Functions

    const yType* getArray(void) const {return (nogo?(yType*)(0):aC);}
    yType getParameter(int iDeg) const
       {return ((!nogo)&&(iDeg>=0)&&(iDeg<nData)?aC[iDeg]:(yType)(0));}
    enum Cheb<xType,yType>::CTYPE getType(void) const {return cTyp;}
    int getCount(void) const {return nData;}
    xType getError(void) const {return yErr;}
    xType getBound(enum Base::BOUND iBnd) const {return xBnd[iBnd];}

 // Data Members

    static const int POINT_MIN;
    static const int POINT_MAX;

 protected:

 // Constructors

    Cheb(yType (*pFn)(xType), xType x1, xType x2, xType dEps);
    Cheb(yType (*pFn)(xType), xType x1, xType x2, int nCount);
    Cheb(const yType* const arCn, xType x1, xType x2, int nCount, int iArr);
    Cheb(const Cheb &ch);

   ~Cheb(void) {if(aC) delete[] aC;}

 // Member Functions

    bool trunCoefs (const yType* ut, xType dEps);
    bool trunCoefs (const yType* ut, int nCount);

    virtual void putCoefs(yType *ut, const yType* up, int cnt)=0;

 // Data Members

    enum Cheb<xType,yType>::CTYPE cTyp;    
    xType      xBnd[Base::BOUND_CNT];      
    yType      yOffset;                    
    yType     *aC;                         
    int        nData;                      
 private:

 // Member Functions

    bool intp (yType (*fn)(xType), yType *up, int cnt) const;

    virtual void varInit (void);

    bool varAlloc(int nCount) {return (!(aC=new yType[nCount]));}

 // Data Members

    xType      xScale;    
    xType      xOffset;   
    xType      yErr;      
    int        mCnt;      
 };

/*****************************************************************************/

 template <typename xType, typename yType>
 const int calc::Cheb<xType,yType>::POINT_MIN=1;
 template <typename xType, typename yType>
 const int calc::Cheb<xType,yType>::POINT_MAX=50;

/*****************************************************************************
 Differ CLASS TEMPLATE
 *****************************************************************************/

 template <typename xType, typename yType>
 class Differ:public Cheb<xType,yType> {

 // Inherited Member Functions & Data Members

    using Cheb<xType,yType>::nogo;
    using Cheb<xType,yType>::cTyp;
    using Cheb<xType,yType>::nData;
    using Cheb<xType,yType>::xBnd;
    using Cheb<xType,yType>::yOffset;
    using Cheb<xType,yType>::aC;
    using Cheb<xType,yType>::DIFFERENTIATE;
    using Cheb<xType,yType>::LO;
    using Cheb<xType,yType>::HI;

 public:

 // Constructors

    Differ(yType (&rFn)(xType), xType x1, xType x2, xType dEps);
    Differ(yType (&rFn)(xType), xType x1, xType x2, int nCount);
    Differ(const yType *arCn, xType x1, xType x2, int nCount);
    Differ(const Cheb<xType,yType> &ch);

    Differ(const Differ<xType,yType> &ch):
    Cheb<xType,yType>(ch) {cTyp=Cheb<xType,yType>::DIFFERENTIATE;}
   ~Differ(void) {}

 private:

 // Member Functions

    virtual void putCoefs (yType *ut, const yType *up, int cnt);
 };

/*****************************************************************************
 Integr CLASS TEMPLATE
 *****************************************************************************/

 template <typename xType, typename yType>
 class Integr:public Cheb<xType,yType> {

 // Inherited Member Functions & Data Members

    using Cheb<xType,yType>::nogo;
    using Cheb<xType,yType>::cTyp;
    using Cheb<xType,yType>::nData;
    using Cheb<xType,yType>::xBnd;
    using Cheb<xType,yType>::yOffset;
    using Cheb<xType,yType>::aC;
    using Cheb<xType,yType>::INTEGRATE;
    using Cheb<xType,yType>::LO;
    using Cheb<xType,yType>::HI;

 public:

 // Constructors

    Integr(yType (&rFn)(xType), xType x1, xType x2, xType dEps);
    Integr(yType (&rFn)(xType), xType x1, xType x2, int nCount);
    Integr(const yType *arCn, xType x1, xType x2, int nCount);
    Integr(const Cheb<xType,yType> &ch);

    Integr(const Integr<xType,yType> &ch):
    Cheb<xType,yType>(ch) {cTyp=Cheb<xType,yType>::INTEGRATE;}
   ~Integr(void) {}

 private:

 // Member Functions

    void addCoef (yType *ui, const yType *up, int cnt);

    virtual void putCoefs (yType *ut, const yType *up, int cnt);
 };

/*****************************************************************************
 Interp CLASS TEMPLATE
 *****************************************************************************/

 template <typename xType, typename yType>
 class Interp:public Cheb<xType,yType> {

 // Inherited Member Functions & Data Members

    using Cheb<xType,yType>::nogo;
    using Cheb<xType,yType>::cTyp;
    using Cheb<xType,yType>::nData;
    using Cheb<xType,yType>::yOffset;
    using Cheb<xType,yType>::aC;
    using Cheb<xType,yType>::INTERPOLATE;

 public:

 // Constructors

    Interp(yType (&rFn)(xType), xType x1, xType x2, xType dEps);
    Interp(yType (&rFn)(xType), xType x1, xType x2, int nCount);
    Interp(const yType *arCn, xType x1, xType x2, int nCount);

    Interp(const Interp<xType,yType> &ch):
    Cheb<xType,yType>(ch) {cTyp=Cheb<xType,yType>::INTERPOLATE;}
    Interp(const Cheb<xType,yType> &ch):
    Cheb<xType,yType>(ch) {cTyp=Cheb<xType,yType>::INTERPOLATE;}
   ~Interp(void) {}

 private:

 // Member Functions

    virtual void putCoefs(yType *ut, const yType *up, int cnt)
       {memCopy(ut,up,cnt);}
 };}

/*****************************************************************************
 PREPROCESSOR DIRECTIVES
 *****************************************************************************/

 #endif

/*****************************************************************************
 CLASS TEMPLATE SOURCE
 *****************************************************************************/

 #include "Cheb.cpp"
 #include "Differ.cpp"
 #include "Integr.cpp"
 #include "Interp.cpp"

/*****************************************************************************/

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