#include "ulong_extras.h"
#include "fmpz.h"
#include "arb_fmpz_poly.h"
ulong arb_fmpz_poly_deflation(const fmpz_poly_t input)
{
slong i, coeff, deflation;
if (input->length <= 1)
return input->length;
coeff = 1;
while (fmpz_is_zero(input->coeffs + coeff))
coeff++;
deflation = n_gcd(input->length - 1, coeff);
while ((deflation > 1) && (coeff + deflation < input->length))
{
for (i = 0; i < deflation - 1; i++)
{
coeff++;
if (!fmpz_is_zero(input->coeffs + coeff))
deflation = n_gcd(coeff, deflation);
}
if (i == deflation - 1)
coeff++;
}
return deflation;
}