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#ifndef _FPFILTER_H
#define _FPFILTER_H
#include <cassert>
#include <cfloat>
#include <cmath>
#include <cstdlib>
#include <iostream>
#define RAT_TO_DBL_ERR 4 * DBL_EPSILON
using namespace std;
int round_nearest();
int round_down();
int round_up();
int round_zero();
// Set rounding mode.
int
horner_with_err(
const double* const poly, // coefficients of a univariate polynomial
// in decreasing degree order
const unsigned long deg, // degree of poly
const double coeff_err, // error bound for coeffs
const double in_val, // evaluate poly here
const double in_err, // error bound for in_val
double& out_val, // value of poly
double& out_err // bound on absolute error
);
// Evaluate poly at in_val. Also, compute a bound on error.
int sign_given_err(const double val, const double err);
// Returns the sign of val if val might be off from 0.0 by as much as err.
// Returns 0 if we can't tell.
double newton_for_pseudoroot(const double* const poly,
const unsigned long deg,
const double coeff_err,
const double* const deriv,
const double low,
const double high);
#endif
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