#if !defined HAVE_MIXEDRADIX_ENDO_GRAY_H__
#define      HAVE_MIXEDRADIX_ENDO_GRAY_H__
// This file is part of the FXT library.
// Copyright (C) 2010 Joerg Arndt
// License: GNU General Public License version 3 or later,
// see the file COPYING.txt in the main directory.

#include "comb/endo-enup.h"
#include "comb/mixedradix.h"
#include "comb/comb-print.h"
#include "fxttypes.h"


class mixedradix_endo_gray
// Gray code for mixed radix numbers in endo order.
// (endo := "Even Numbers Down, Odd (numbers up)")
// CAT algorithm.
{
public:
    ulong *a_;  // mixed radix digits
    ulong *m1_; // radices (minus one)
    ulong *i_;  // direction
    ulong *le_; // last positive digit in endo order
    ulong n_;   // n_ digits
    ulong j_;   // position of last change
    int dm_;    // direction of last move

public:
    mixedradix_endo_gray(ulong n, ulong mm, const ulong *m=0)
    {
        n_ = n;
        a_ = new ulong[n_+1];
        a_[n] = -1UL;  // sentinel
        i_ = new ulong[n_+1];
        i_[n_] = 0;    // sentinel
        m1_ = new ulong[n_+1];
//        m1_[n] = -1UL;

        mixedradix_init(n_, mm, m, m1_);

        le_ = new ulong[n_];
        for (ulong k=0; k<n_; ++k)  le_[k] = 2 - (m1_[k]==1);

        first();
    }

    ~mixedradix_endo_gray()
    {
        delete [] i_;
        delete [] a_;
        delete [] m1_;
        delete [] le_;
    }

    const ulong * data()  const  { return a_; }

    void first()
    {
        for (ulong k=0; k<n_; ++k)  a_[k] = 0;
        for (ulong k=0; k<n_; ++k)  i_[k] = +1;
        j_ = n_;
        dm_ = 0;
    }

    void last()
    {
        for (ulong k=0; k<n_; ++k)  a_[k] = 0;
        for (ulong k=0; k<n_; ++k)  i_[k] = -1UL;

        // find position of last even radix:
        ulong z = 0;
        for (ulong i=0; i<n_; ++i)  if ( m1_[i]&1 )  z = i;
        while ( z<n_ )  // last even .. end:
        {
            a_[z] = le_[z];
            i_[z] = +1;
            ++z;
        }

        j_ = 0;
        dm_ = -1;
    }

    bool next()
    {
        ulong j = 0;
        ulong ij;
//        while ( j<n_ )
        while ( (ij=i_[j]) )  // can touch sentinel i[n]==0
        {
//            ulong dj = a_[j] + ij;
            ulong dj;
            bool ovq;  // overflow?
            if ( ij == 1 )
            {
                dj = next_endo(a_[j], m1_[j]);
                ovq = (dj==0);
            }
            else
            {
                ovq = (a_[j]==0);
                dj = prev_endo(a_[j], m1_[j]);
            }

            if ( ovq )  i_[j] = -ij;
            else
            {
                a_[j] = dj;
                dm_ = (int)ij;
                j_ = j;
                return true;
            }

            ++j;
        }
        return false;
    }

    bool prev()
    {
        ulong j = 0;
        ulong ij;
//        while ( j<n_ )
        while ( (ij=i_[j]) )  // can touch sentinel i[n]==0
        {
//            ulong dj = a_[j] - ij;
            ulong dj;
            bool ovq;  // overflow?
            if ( ij != 1 )
            {
                dj = next_endo(a_[j], m1_[j]);
                ovq = (dj==0);
            }
            else
            {
                ovq = (a_[j]==0);
                dj = prev_endo(a_[j], m1_[j]);
            }

            if ( ovq )
            {
                i_[j] = -ij;
            }
            else
            {
                a_[j] = dj;
                dm_ = (int)ij;
                j_ = j;
                return true;
            }

            ++j;
        }
        return false;
    }

    ulong pos()  const  { return j_; }  // position of last change

    int dir()  const  { return dm_; }  // direction of last change

    void print(const char *bla, bool dfz=false)  const
    // If dfz is true then Dots are printed For Zeros.
    { ::print_mixedradix(bla, a_, n_, dfz); }

    void print_nines(const char *bla)  const
    { ::print_mixedradix(bla, m1_, n_, false); }

    ulong to_num()  const
    // Return (integer) value of mixed radix number.
    { return ::mixedradix2num(a_, m1_, n_); }
};
// -------------------------


#endif  // !defined HAVE_MIXEDRADIX_ENDO_GRAY_H__