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#ifndef _KINTPOLY_H
#define _KINTPOLY_H
#include <cassert>
#include <cstdlib>
#include <iostream>
#include <bigint.h>
using namespace std;
class K_INTPOLY
{
// A class for polynomials with bigint coefficients
unsigned long num_vars; // Number of variables
long* deg; // Max. degree in each variable
unsigned long num_coeffs; // Number of coefficients (terms)
bigint* coeffs;
// primitives
long* index_to_powers(const unsigned long i) const;
// For an index, i, return the powers, p, of the term
// to which the i-th coefficient belongs to.
unsigned long powers_to_index(const long* const p) const;
// Return the index of the term of the powers p.
int reduce_deg();
// arithmetic
K_INTPOLY add(const K_INTPOLY&) const;
K_INTPOLY sub(const K_INTPOLY&) const;
K_INTPOLY mul(const K_INTPOLY&) const;
K_INTPOLY mul(const bigint&) const;
K_INTPOLY neg() const;
// stream
ostream& output(ostream&) const;
public:
// constructors, assignment and destructor
K_INTPOLY();
K_INTPOLY(const unsigned long, const long* const);
K_INTPOLY(const unsigned long, const long* const, const bigint* const);
K_INTPOLY(const K_INTPOLY&);
K_INTPOLY& operator =(const K_INTPOLY&);
~K_INTPOLY();
// stream
friend ostream& operator <<(ostream&, const K_INTPOLY&);
// arithmetic
friend K_INTPOLY operator +(const K_INTPOLY&, const K_INTPOLY&);
friend K_INTPOLY operator -(const K_INTPOLY&, const K_INTPOLY&);
friend K_INTPOLY operator *(const K_INTPOLY&, const K_INTPOLY&);
friend K_INTPOLY operator *(const K_INTPOLY&, const bigint&);
friend K_INTPOLY operator *(const bigint&, const K_INTPOLY&);
friend K_INTPOLY operator -(const K_INTPOLY&);
// other functions
K_INTPOLY derivative(const unsigned long) const;
K_INTPOLY subst_first_var(const bigint&) const;
bigint evaluate(const bigint* const) const;
int sgn_at(const bigint* const) const;
K_INTPOLY subst_val(const unsigned long, const bigint&) const;
K_INTPOLY subst_expr(const unsigned long, const K_INTPOLY&) const;
K_INTPOLY subst_expr(const unsigned long,
const K_INTPOLY&, const K_INTPOLY&) const;
// other univariate functions
int sgn_at(const bigint&) const;
};
#endif
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