Beispiel #1
0
void
fmpz_poly_pow_binomial(fmpz_poly_t res, const fmpz_poly_t poly, ulong e)
{
    const long len = poly->length;
    long rlen;

    if (len != 2)
    {
        printf("Exception: poly->length not equal to 2 in fmpz_poly_pow_binomial\n");
        abort();
    }

    if (e < 3UL)
    {
        if (e == 0UL)
            fmpz_poly_set_ui(res, 1UL);
        else if (e == 1UL)
            fmpz_poly_set(res, poly);
        else  /* e == 2UL */
            fmpz_poly_sqr(res, poly);
        return;
    }
    
    rlen = (long) e + 1;

    if (res != poly)
    {
        fmpz_poly_fit_length(res, rlen);
        _fmpz_poly_set_length(res, rlen);
        _fmpz_poly_pow_binomial(res->coeffs, poly->coeffs, e);
    }
    else
    {
        fmpz_poly_t t;
        fmpz_poly_init2(t, rlen);
        _fmpz_poly_set_length(t, rlen);
        _fmpz_poly_pow_binomial(t->coeffs, poly->coeffs, e);
        fmpz_poly_swap(res, t);
        fmpz_poly_clear(t);
    }
}
Beispiel #2
0
void
_fmpz_poly_pow(fmpz * res, const fmpz * poly, long len, ulong e)
{
    if (e < 5UL)
        _fmpz_poly_pow_small(res, poly, len, e);
    else if (len == 2)
        _fmpz_poly_pow_binomial(res, poly, e);
    else
    {
        ulong limbs = (ulong) _fmpz_vec_max_limbs(poly, len);
        
        if (limbs < ((3UL * e) / 2UL + 150UL) / (ulong) len)
            _fmpz_poly_pow_multinomial(res, poly, len, e);
        else
            _fmpz_poly_pow_binexp(res, poly, len, e);
    }
}