JMATH::JPolynome Class Reference

Polynome function object. More...

#include <JPolynome.hh>

Inheritance diagram for JMATH::JPolynome:

Public Member Functions
	JPolynome ()
	Default constructor. More...
	JPolynome (int n,...)
	Constructor. More...
template<class T >
	JPolynome (T __begin, T __end)
	Constructor. More...
double	getValue (const double x) const
	Function value. More...
double	getDerivative (const double x) const
	Derivative value. More...
double	getIntegral (const double x) const
	Integral value. More...
double	operator() (const double x) const
	Function value. More...
JPolynome	getDerivative () const
	Derivative function. More...
JPolynome	getIntegral () const
	Integral function. More...
bool	equals (const JPolynome &P, const double eps=std::numeric_limits< double >::min()) const
	Equality. More...

Friends
std::istream &	operator>> (std::istream &in, JPolynome &object)
	Read polynome from input. More...
std::ostream &	operator<< (std::ostream &out, const JPolynome &object)
	Write polynome to output. More...

Detailed Description

Polynome function object.

Evaluates function, derivative and integral values.

Definition at line 26 of file JPolynome.hh.

Constructor & Destructor Documentation

JPolynome() [1/3]

JMATH::JPolynome::JPolynome ( )

inline

Default constructor.

Definition at line 33 of file JPolynome.hh.

    {}

JPolynome() [2/3]

JMATH::JPolynome::JPolynome ( int  n,   ...  )

inline

Constructor.

Parameters

n	degree of polynome (followed by comma separated argument list)

Definition at line 42 of file JPolynome.hh.

    {
      va_list  ap;
 
      va_start(ap, n);
    
      for (double x; n != 0; --n) {
 
        x = va_arg(ap, double);  // next argument
 
        push_back(x);
      }
 
      va_end(ap);
    }

JPolynome() [3/3]

template<class T >

JMATH::JPolynome::JPolynome ( T  __begin, T  __end  )

inline

Constructor.

Parameters

__begin	begin of data
__end	end of data

Definition at line 66 of file JPolynome.hh.

    {
      for (T i = __begin; i != __end; ++i)
        push_back(*i);
    }

Member Function Documentation

getValue()

double JMATH::JPolynome::getValue ( const double  x ) const

inline

Function value.

Parameters

x	abscissa value

Returns

function value

Definition at line 80 of file JPolynome.hh.

    {
      double y = 0.0;
      double z = 1.0;
 
      for (const_iterator i = begin(); i != end(); ++i, z *= x) {
        y += (*i) * z;
      }
 
      return y;
    }

getDerivative() [1/2]

double JMATH::JPolynome::getDerivative ( const double  x ) const

inline

Derivative value.

Parameters

x	abscissa value

Returns

derivative value

Definition at line 99 of file JPolynome.hh.

    {
      double y = 0.0;
 
      if (!empty()) {
 
        double z = 1.0;
        int    n = 1;
 
        for (const_iterator i = begin(); ++i != end(); ++n, z *= x) {
          y += (*i) * z * n;
        }
      }
 
      return y;
    }

getIntegral() [1/2]

double JMATH::JPolynome::getIntegral ( const double  x ) const

inline

Integral value.

Parameters

x	abscissa value

Returns

integral value

Definition at line 123 of file JPolynome.hh.

    {
      double y = 0.0;
      double z = x;
      int    n = 1;
 
      for (const_iterator i = begin(); i != end(); ++i, ++n, z *= x) {
        y += (*i) * z / n;
      }
 
      return y;
    }

operator()()

double JMATH::JPolynome::operator() ( const double  x ) const

inline

Function value.

Parameters

x	abscissa value

Returns

function value

Definition at line 143 of file JPolynome.hh.

    {
      return getValue(x);
    }

getDerivative() [2/2]

JPolynome JMATH::JPolynome::getDerivative ( ) const

inline

Derivative function.

Returns

derivative function

Definition at line 154 of file JPolynome.hh.

    {
      JPolynome buffer;
 
      int n = 1;
 
      for (const_iterator i = begin(); ++i != end(); ++n) {
        buffer.push_back(n * (*i));
      }
 
      return buffer;
    }

getIntegral() [2/2]

JPolynome JMATH::JPolynome::getIntegral ( ) const

inline

Integral function.

Returns

integral function

Definition at line 173 of file JPolynome.hh.

    {
      JPolynome buffer(1, 0.0);
 
      int n = 1;
 
      for (const_iterator i = begin(); i != end(); ++i, ++n) {
        buffer.push_back((*i) / (double) n);
      }
 
      return buffer;
    }

equals()

bool JMATH::JPolynome::equals ( const JPolynome &  P, const double  eps = std::numeric_limits<double>::min()  ) const

inline

Equality.

Parameters

P	polynome
eps	numerical precision

Returns

true if polynomes identical; else false

Definition at line 194 of file JPolynome.hh.

    {
      if (this->size() == P.size()) {
 
        for (const_iterator p = this->begin(), q = P.begin(); p != this->end(); ++p, ++q) {
          if (fabs(*p - *q) > eps) {
            return false;
          }
        }
 
        return true;
        
      } else {
 
        return false;
      }
    }

Friends And Related Function Documentation

operator>>

std::istream& operator>> ( std::istream &  in, JPolynome &  object  )

friend

Read polynome from input.

Parameters

in	input stream
object	polynome

Returns

input stream

Definition at line 221 of file JPolynome.hh.

    {
      for (double x; in >> x; ) {
        object.push_back(x);
      }
 
      return in;
    }

operator<<

std::ostream& operator<< ( std::ostream &  out, const JPolynome &  object  )

friend

Write polynome to output.

Parameters

out	output stream
object	polynome

Returns

output stream

Definition at line 238 of file JPolynome.hh.

    {
      for (JPolynome::const_iterator i = object.begin(); i != object.end(); ++i) {
        out << ' ' << *i;
      }
 
      return out;
    }

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The documentation for this class was generated from the following file:

• JPolynome.hh