MATH_P4.h

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#ifndef MATH_P4_H
#define MATH_P4_H

#include "MATH_P3.h"

DEFINE_SPTR(MATH_P4);

class MATH_P4 : public MATH_P3 {
  
  
    SP_OBJECT(MATH_P4);
  
    // ATTRIBUTES
  
  
  
private:

  
    
public:
    // METHODS
  
    // CONSTRUCTORS 
    
    MATH_P4(void):MATH_P3(4) {
    }
    
protected:
    MATH_P4(const tUIndex& n):MATH_P3(n) {
    }
    
public:
    
    
    // DESTRUCTORS 
    
    
    virtual ~MATH_P4(void) {
    }
    
   
public:
    
    // CONSTRUCTORS
  
    inline static SP::MATH_P4 New() {
        SP::MATH_P4 ret(new MATH_P4(),
                        MATH_P4::Delete()); 
        ret->setThis(ret);
        return ret;
    }; 
    inline static SP::MATH_P4 New(const tReal a[]) {
        SP::MATH_P4 p=New();
        p->setCoefficients(a);
        return p;
    }; 
   
  

public:
    
   
  
    
    // GET methods 

  
   
public:
    // OTHERS methods
      
   
    
    virtual tUInteger solve(tReal x[]) const;

   

    tReal  computeFirstExtrenum() const;


private:
    static tReal NewtonStep(const tReal &a0,
                            const tReal &a1,
                            const tReal &a2,
                            const tReal &a3,
                            const tReal& a4,
                            const tReal& x0);
    tUInteger solveP4De(const tReal &a0,
                        const tReal &a1,
                        const tReal &a2,
                        tReal x[]) const;

    tUInteger solveP4Bi(const tReal &a0,
                        const tReal &a2,
                        tReal x[]) const;
    
};

#endif