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namespace main_savitch_5
{
class polynode
{
public:
// CONSTRUCTOR: Creates a node containing a specified initial
// coefficient (init_coef), initial exponent (init_exponent), and
// initial links forward and backward (init_fore and init_back).
polynode(
double init_coef = 0.0,
unsigned int init_exponent = 0,
polynode* init_fore = nullptr,
polynode* init_back = nullptr
)
{
coef_field = init_coef;
exponent_field = init_exponent;
link_fore = init_fore;
link_back = init_back;
}
// Member functions to set the fields:
void set_coef(double new_coef)
{ coef_field = new_coef; }
void set_exponent(unsigned int new_exponent)
{ exponent_field = new_exponent; }
void set_fore(polynode* new_fore)
{ link_fore = new_fore; }
void set_back(polynode* new_back)
{ link_back = new_back; }
// Const member functions to retrieve current coefficient or exponent:
double coef( ) const { return coef_field; }
unsigned int exponent( ) const { return exponent_field; }
// Two slightly different member functions to retrieve each link:
const polynode* fore( ) const { return link_fore; }
polynode* fore( ) { return link_fore; }
const polynode* back( ) const { return link_back; }
polynode* back( ) { return link_back; }
private:
double coef_field;
unsigned int exponent_field;
polynode *link_fore;
polynode *link_back;
};
class polynomial
{
public:
// CONSTRUCTORS and DESTRUCTOR
polynomial(double c = 0.0, unsigned int exponent = 0);
polynomial(const polynomial& source);
~polynomial( );
// MODIFICATION MEMBER FUNCTIONS
polynomial& operator =(const polynomial& source);
void add_to_coef(double amount, unsigned int exponent);
void assign_coef(double coefficient, unsigned int exponent);
void clear( );
// CONSTANT MEMBER FUNCTIONS
double coefficient(unsigned int exponent) const;
unsigned int degree( ) const { return current_degree; }
polynomial derivative( ) const;
double eval(double x) const;
void find_root(
double& answer,
bool& success,
unsigned int& iterations,
double guess = 0,
unsigned int maximum_iterations = 100,
double epsilon = 1e-8
) const;
unsigned int next_term(unsigned int e) const;
unsigned int previous_term(unsigned int e) const;
// CONSTANT OPERATORS
double operator( ) (double x) const { return eval(x); }
private:
double EPSILON;
polynode *head_ptr; // Head pointer for list of terms
polynode *tail_ptr; // Tail pointer for list of terms
mutable polynode *recent_ptr; // Most recently used term
unsigned int current_degree; // Current degree of the polynomial
// A private member function to aid the other functions:
void set_recent(unsigned int exponent) const;
};
// NON-MEMBER BINARY OPERATORS
polynomial operator +(const polynomial& p1, const polynomial& p2);
polynomial operator -(const polynomial& p1, const polynomial& p2);
polynomial operator *(const polynomial& p1, const polynomial& p2);
// NON-MEMBER OUTPUT FUNCTIONS
std::ostream& operator << (std::ostream& out, const polynomial& p);
}
#endif
{
polynomial::polynomial(double c, unsigned int exponent)
{
// store machine epsilon
EPSILON = std::numeric_limits<double>::epsilon();
// write the rest
coef[exponent] = c;
}
polynomial& polynomial::operator=(const polynomial& source)
{
// store machine epsilon
EPSILON = std::numeric_limits<double>::epsilon();
// write the rest
return *this;
}
polynomial::polynomial(const polynomial& source)
{
// store machine epsilon
EPSILON = std::numeric_limits<double>::epsilon();
// write the rest
current_array_size = source.current_array_size;
coef = new double[current_array_size];
copy (source.coef, source.coef + current_array_size, coef);
}
polynomial::~polynomial()
{
delete [] coef;
coef = NULL;
clear();
}
void polynomial::clear()
{
fill_n (coef, current_array_size, 0.0);
}
double polynomial::coefficient(unsigned int exponent) const
{
return (coef[exponent]);
return 0;
}
void polynomial::add_to_coef(double amount, unsigned int exponent)
{
reserve (exponent + 1);
coef[exponent] += amount;
}
void polynomial::assign_coef(double coefficient, unsigned int exponent)
{
}
unsigned int polynomial::next_term(unsigned int exponent) const
{
return 0;
}
unsigned int polynomial::previous_term(unsigned int exponent) const
{
return UINT_MAX;
}
void polynomial::set_recent(unsigned int exponent) const
{
}
double polynomial::eval(double x) const
{
double total = 0;
return total;
}
polynomial polynomial::derivative() const
{
polynomial p_prime;
return p_prime;
}
polynomial operator+(const polynomial& p1, const polynomial& p2)
{
polynomial p;
return p;
}
polynomial operator-(const polynomial& p1, const polynomial& p2)
{
polynomial p;
return p;
}
polynomial operator*(const polynomial& p1, const polynomial& p2)
{
polynomial p;
return p;
}
ostream& operator << (ostream& out, const polynomial& p)
{
return out;
}
void polynomial::find_root(
double& answer,
bool& success,
unsigned int& iterations,
double guess,
unsigned int maximum_iterations,
double epsilon) const
{
}
}
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