/*  db.c

    Copyright (C) 1994,1995,1996,1997
						Lambert Klasen & Detlef Steuer
                        klasen@asterix.uni-muenster.de
                        steuer@gigamain.statistik.uni-dortmund.de

    This file is free source code; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See
    COPYING for more details.
 */

#include <stdio.h>
#include <stdlib.h>

double          E_Werte[54264];
double Distribution[54264][30];
unsigned short database[54264][30];

long int       NaufM[16][7];
long int       Binomial[7][7];
long int       Nummeroffset[7][8][16];
int            pin[7] = {15, 0, 0, 0, 0, 0, 0};

long int fak(int n)
{
    if (n < 2) return (1);
    else       return (n * fak(n - 1));
}

long int binomial(int n, int m)
{
    return (fak(n) / fak(m) / fak(n-m)); 
}


long int naufm(int n, int m)
{
    if (n < m)  return (0);
    if (m == 1) return (1);

    return (naufm(n - 1, m) + naufm(n - 1, m - 1));
}

void set_naufm()
{
    int i, j;

    for (i=1; i<16; i++) {
    for (j=1; j<7;  j++) {
	NaufM[i][j] = naufm(i, j);
    }
    }
}

void set_binom()
{
    int i, j;

    for (i = 1; i < 7; i++) {
    for (j = 1; j < 7; j++) {
	Binomial[i][j] = binomial(i, j);
    }
    }
}


void set_offset()
{
    int start, next, summe, steine;
    int start2, steine2, summanden2;

    for (start = 0; start < 6; start++) {
	for (next = 1; start + next < 7; next++) {
	    for (summe = 1; summe < 16; summe++) {

		Nummeroffset[start][next][summe] = 0;

		for (start2 = start; start2 < start + next; start2++) {
		    for (steine = 1; steine < summe; steine++) {
			for (summanden2 = 1; summanden2 < 6 - start2 + 1; summanden2++) {
			    Nummeroffset[start][next][summe]
				+= Binomial[6 - start2][summanden2] * NaufM[steine][summanden2];

			}
		    }

		}
	    }
	}
    }
}



long int rel_Stellungsnummer(int startpin)
{
    int summe = 0, summanden, steine, start;
    int i, nextpin;
    long int nummer = 0L;
    for (i = startpin + 1; i < 7; i++) {
	summe += pin[i];
    }
    if (summe == 0)
	return (0);

    i = startpin + 1;
    while (pin[i] == 0 && i < 7) {
	i++;
    }
    nextpin = i - startpin;
    nummer += nextpin;
    nummer += Nummeroffset[startpin][nextpin][summe];
    nummer += rel_Stellungsnummer(startpin + nextpin);

    return (nummer);

}


long calc(int anz, int w1, int w2, int w3, int w4)
{
    int wurf[5] = {0, w1, w2, w3, w4}, rest[5];
    double minewert = 100.0, tmpwert;
    int wurfend, maxpin = 0, i, feld, j, k;
    int start, end, wf;
    long tmpnummer, minnummer = 0L;
    if (pin[1] + pin[2] + pin[3] + pin[4] + pin[5] + pin[6] == 0)
	return (minnummer);
    if (anz == 0)
	return ((long) rel_Stellungsnummer(0));


    for (i = 1; i < 7; i++) {
	if (pin[i] > 0)
	    maxpin = i;
    }

    wurfend = anz;
    if (anz > 2)
	wurfend = 1;
    if (anz == 2) {
	if (wurf[1] == wurf[2])
	    wurfend = 1;
	else
	    wurfend = 2;
    }
    for (j = 1; j < wurfend + 1; j++) {

	if (wurf[j] < maxpin) {
	    start = wurf[j];
	    end = maxpin;
	} else {
	    start = end = maxpin;
	}

	for (feld = end; feld > start - 1; feld--) {
	    if (pin[feld] > 0) {
		pin[feld]--;
		if (feld > wurf[j])
		    pin[feld - wurf[j]]++;
		for (k = 1; k < 5; k++) {
		    if (k < j)
			rest[k] = wurf[k];
		    if (k > j)
			rest[k - 1] = wurf[k];
		}
		rest[4] = 0;
		tmpnummer = calc(anz - 1, rest[1], rest[2], rest[3], rest[4]);
		tmpwert = E_Werte[tmpnummer];
		if (tmpwert < minewert) {
		    minewert = tmpwert;
		    minnummer = tmpnummer;
		}
		pin[feld]++;
		if (feld > wurf[j])
		    pin[feld - wurf[j]]--;
	    }
	}

    }
    return (minnummer);
}

void set_V_Werte()
{
    long int zugnummer = 0L, minstell;
	double erwartung;
    double aktv[30];
    double altv[30];
    FILE *fid;

    int z1, z2, i,j, tmp, maxpin = 0;


    fid = fopen("xgammon.db", "w+b");

    do {
	if (maxpin < 6) {
	    pin[maxpin++]--;
	    pin[maxpin]++;
	} else {
	    i = 6;
	    while (pin[i - 1] == 0)
		i--;
	    tmp = pin[6];
	    pin[6] = 0;
	    pin[i] = 1 + tmp;
	    pin[i - 1]--;
	    maxpin = i;
	}
	zugnummer++;
	printf(" %d\r",zugnummer);
	erwartung = 0.0;
	for (i = 0; i < 30; i++) {
	    aktv[i] = 0.0;
	}

	for (z1 = 1; z1 < 7; z1++) {
	    for (z2 = z1; z2 < 7; z2++) {
		if (z1 == z2) {
		    minstell =
			calc(4, z1, z1, z1, z1);
		    if (minstell == 0)
			aktv[0] += 1.0;
		    else {
			for (i = 0; i < 29; i++)
			    aktv[i + 1] += Distribution[minstell][i];
		    }
		} else {
		    minstell =
			calc(2, z1, z2, 0, 0);
		    if (minstell == 0)
			aktv[0] += 2.0;
		    else {
			for (i = 0; i < 29; i++) {
			    aktv[i + 1] += 2.0 * Distribution[minstell][i];
			}
		    }
		}
	    }
	}

	for (i = 0; i < 29; i++) {
	    Distribution[zugnummer][i] = aktv[i]/36.0;
	    erwartung += Distribution[zugnummer][i] * (double) (i + 1);

	/*printf("%f\n", erwartung);*/
	}
	E_Werte[zugnummer] =  erwartung ;
	/*printf(" %.13f\n",erwartung);*/
    } while (pin[6] != 15);
	
	for (i=0; i< 54263; i++)
	{
		for (j=0; j<18; j++)
		*(&database[1][0] + i*18 +j) = 
			(unsigned short) (*(&Distribution[1][0]+i*30 + j) * 65535.0) ;
	}		
    fwrite(&database[1][0], sizeof(unsigned short), 18 * 54263, fid);

    fclose(fid);
}

main()
{
    set_binom();
    set_naufm();
    set_offset();
    set_V_Werte();
    return 0;
}