/**
* @brief Set active polynomial as a integer coefficient
* polynomial of degree <code>n</code> with coefficient exactly
* determined by components of vector coeff.
*
* Precisely, if \f${\mathrm coeff}\f$ is a vector of \f$n+1\f$ components,
* \f[
* p(x) = \sum_{i = 0}^{n} {\mathrm coeff}_i x^i
* \f]
*/
int
mps_context_set_poly_i (mps_context * s, int *coeff, long unsigned int n)
{
int i;
/* Allocate data in mps_context to hold the polynomial of degree n */
mps_monomial_poly * p = mps_monomial_poly_new (s, n);
/* Fill polynomial */
for (i = 0; i <= n; i++)
{
mpq_set_si (p->initial_mqp_r[i], coeff[i], 1U);
}
mps_context_set_input_poly (s, MPS_POLYNOMIAL (p));
return 0;
}
/**
* @brief Set active polynomial as a real floating point coefficient
* polynomial of degree <code>n</code> with coefficient exactly
* determined by components of vector coeff.
*
* Precisely, if \f${\mathrm coeff}\f$ is a vector of \f$n+1\f$ components,
* \f[
* p(x) = \sum_{i = 0}^{n} {\mathrm coeff}_i x^i
* \f]
*/
int
mps_context_set_poly_d (mps_context * s, cplx_t * coeff, long unsigned int n)
{
int i;
/* Allocate space for a polynomial of degree n */
mps_monomial_poly * p = mps_monomial_poly_new (s, n);
/* Fill polynomial coefficients */
for (i = 0; i <= n; i++)
{
mps_monomial_poly_set_coefficient_d (s, p, i, cplx_Re (coeff[i]),
cplx_Im (coeff[i]));
}
mps_context_set_input_poly (s, MPS_POLYNOMIAL (p));
return 0;
}
/**
* @brief Caller for mps_solve routine.
*
* Since fortran complex are
* identical to internal mpsolve cplx_t complex type, i.e.
* two double in a struct, we can simply cast silently the
* arguments of the fortran routine.
*/
void
mps_roots_ (int * n, cplx_t * coeff, cplx_t * roots)
{
/* Create a new mps_context and a new polynomial */
mps_context *s = mps_context_new ();
mps_monomial_poly * p = mps_monomial_poly_new (s, *n);
int i;
for (i = 0; i <= *n; i++)
mps_monomial_poly_set_coefficient_d (s, p, i, cplx_Re (coeff[i]), cplx_Im (coeff[i]));
mps_context_set_input_poly (s, MPS_POLYNOMIAL (p));
/* Set the output precision to DBL_EPSILON and the default goal
* to approximate. Try to find all the possible digits representable
* in floating point. */
mps_context_set_output_prec (s, 53);
mps_context_set_output_goal (s, MPS_OUTPUT_GOAL_APPROXIMATE);
mps_mpsolve (s);
mps_context_get_roots_d (s, &roots, NULL);
mps_context_free (s);
}