/*
    Copyright (C) 2009 William Hart

    This file is part of FLINT.

    FLINT is free software: you can redistribute it and/or modify it under
    the terms of the GNU Lesser General Public License (LGPL) as published
    by the Free Software Foundation; either version 2.1 of the License, or
    (at your option) any later version.  See <https://www.gnu.org/licenses/>.
*/

#define ulong ulongxx /* interferes with system includes */
#include <stdlib.h>
#include <stdio.h>
#undef ulong
#define ulong mp_limb_t
#include <gmp.h>
#include "flint.h"
#include "ulong_extras.h"

static int is_prime(mp_limb_t n, int proved)
{
    return proved ? n_is_prime(n) : n_is_probabprime(n);
}

void n_factor(n_factor_t * factors, mp_limb_t n, int proved)
{
   ulong factor_arr[FLINT_MAX_FACTORS_IN_LIMB];
   ulong exp_arr[FLINT_MAX_FACTORS_IN_LIMB];
   ulong factors_left;
   ulong exp;
   mp_limb_t cofactor, factor, cutoff;

   cofactor = n_factor_trial(factors, n, FLINT_FACTOR_TRIAL_PRIMES);
   if (cofactor == UWORD(1)) return;
   if (is_prime(cofactor, proved)) 
   {
      n_factor_insert(factors, cofactor, UWORD(1));
      return;
   }

   factor_arr[0] = cofactor;
   factors_left = 1;
   exp_arr[0] = 1;

   cutoff = FLINT_FACTOR_TRIAL_CUTOFF;

   while (factors_left > 0)
   {
      factor = factor_arr[factors_left - 1];

      if (factor >= cutoff)
      {
     if ((cofactor = n_factor_power235(&exp, factor)))
         {
            exp_arr[factors_left - 1] *= exp;
            factor_arr[factors_left - 1] = factor = cofactor;
         }
           
         if ((factor >= cutoff) && !is_prime(factor, proved))
         {
        if ((
#if FLINT64
                 (factor < FLINT_FACTOR_ONE_LINE_MAX) &&
#endif
                 (cofactor = n_factor_one_line(factor, FLINT_FACTOR_ONE_LINE_ITERS)))
              || (cofactor = n_factor_pp1_wrapper(factor))	
              || (cofactor = n_factor_SQUFOF(factor, FLINT_FACTOR_SQUFOF_ITERS)))
        {
           exp_arr[factors_left] = exp_arr[factors_left - 1];
               factor_arr[factors_left] = cofactor;
               factor_arr[factors_left - 1] /= cofactor;
               factors_left++;
            } else
        {
               flint_printf("Exception (n_factor). Failed to factor %wd.\n", n);
               flint_abort();
        }
         } else
     {
        n_factor_insert(factors, factor, exp_arr[factors_left - 1]);
            factors_left--;
     }
      } else
      {
     n_factor_insert(factors, factor, exp_arr[factors_left - 1]);
         factors_left--;
      }
   } 
}