Exemple #1
0
static int find_roots(long D, int poly_index, mpz_t N, mpz_t** roots, int maxroots)
{
  mpz_t* T;
  UV degree;
  long dT, i, nroots;
  int poly_type;

  if (D == -3 || D == -4) {
    *roots = 0;
    return 1;
  }

  degree = poly_class_poly_num(poly_index, NULL, &T, &poly_type);
  if (degree == 0 || (poly_type != 1 && poly_type != 2 && poly_type != 3))
    return 0;

  dT = degree;
  polyz_mod(T, T, &dT, N);

  polyz_roots_modp(roots, &nroots, maxroots, T, dT, N);
  if (nroots == 0) {
    gmp_printf("N = %Zd\n", N);
    croak("Failed to find roots for D = %ld\n", D);
  }
  for (i = 0; i <= dT; i++)
    mpz_clear(T[i]);
  Safefree(T);
#if 0
  if (nroots != dT && get_verbose_level())
    printf("  found %ld roots of the %ld degree poly\n", nroots, dT);
#endif

  /* Convert Weber and Ramanujan roots to Hilbert roots */
  if (poly_type == 2)
    for (i = 0; i < nroots; i++)
      weber_root_to_hilbert_root((*roots)[i], N, D);
  if (poly_type == 3)
    for (i = 0; i < nroots; i++)
      ramanujan_root_to_hilbert_root((*roots)[i], N, D);

  return nroots;
}
Exemple #2
0
static int find_roots(long D, mpz_t N, mpz_t** roots)
{
  mpz_t* T;
  UV degree;
  long dT, i, nroots;
  int poly_type;
  gmp_randstate_t* p_randstate = get_randstate();

  if (D == -3 || D == -4) {
    *roots = 0;
    return 1;
  }

  degree = poly_class_poly(D, &T, &poly_type);
  if (degree == 0 || (poly_type != 1 && poly_type != 2))
    return 0;

  dT = degree;
  polyz_mod(T, T, &dT, N);

  /* Don't bother getting more than 4 roots */
  polyz_roots_modp(roots, &nroots,  4, T, dT, N, p_randstate);
  if (nroots == 0) {
    gmp_printf("N = %Zd\n", N);
    croak("Failed to find roots for D = %ld\n", D);
  }
  for (i = 0; i <= dT; i++)
    mpz_clear(T[i]);
  Safefree(T);
#if 0
  if (nroots != dT && get_verbose_level())
    printf("  found %ld roots of the %ld degree poly\n", nroots, dT);
#endif

  /* Convert Weber roots to Hilbert roots */
  if (poly_type == 2)
    for (i = 0; i < nroots; i++)
      weber_root_to_hilbert_root((*roots)[i], N, D);

  return nroots;
}