Previous Next
Pieces are encoded as integers,
which (like anything else on a binary digital computer) are eventually bitpatterns. The encoding makes use of the binary representation by assigning a specific meaning to some bits of the integer encoding: the '8'-bit is used (i.e. set) to indicate a white piece,
the '16'-bit indicates a black piece.
This makes it easy to test if a piece u belongs to white,
by bitwise anding with 8 (u&8).
The code uses a variable k to indicate the side that should move,
which has the value 8 on white's turn, or 16 for black,
so that u&k tells us if a piece belongs to the side to move.
The '32'-bit is used to indicate that a piece is in the original position (the 'virgin bit').
(Since this is only important for Kings and Rooks in connection with castling,
Micro-Max doesn't bother to set the virgin bit on pawns.
The three low-order bits can be interpreted as a number 0-7 that indicates the piece type,
and have a meaning that is independent of piece color.
This makes tables that do not have to distingush by color (like piece value w[u&7]) half as small.
Tables that would like to make this distinction
(like the character to used to representthe piece on printout)
can simply be indexed with the 4 low-order bits (n[u&15]).
Upstream moving pawns are considered different pieces than downstream moving pawns (type 1 and 2, respectively). Each side has only one of the types of pawns, moving in the appropriate direction,
although the engine would not frown at putting pieces on the board that move 'backwards'.
The encoding is further chosen such that tests if a piece belongs to a certain group is easy:
the sliding pieces (BRQ) are giving the highest type numbers (5,6,7),
so that crawling pieces can be recognized by piece type p (=u&7) p<5.
Pieces that are awarded for moving towards the center of the board (everything but RQ) are recognized by p<6,
pawns by p<3.
The complete list thus is {1,2,3,4,5,6,7} = {P+,P-,N,K,B,R,Q}.
Type 0 is not used, so it can indicate empty squares on the board.
The following highlights places that show how the piece encoding is used in Micro-Max.
/***************************************************************************/
/* micro-Max, */
/* A chess program smaller than 2KB (of non-blank source), by H.G. Muller */
/***************************************************************************/
/* version 3.2 (2000 characters) features: */
/* - recursive negamax search */
/* - quiescence search with recaptures */
/* - recapture extensions */
/* - (internal) iterative deepening */
/* - best-move-first 'sorting' */
/* - a hash table storing score and best move */
/* - full FIDE rules (expt minor ptomotion) and move-legality checking */
#define F(I,S,N) for(I=S;I<N;I++)
#define W(A) while(A)
#define K(A,B) *(int*)(T+A+(B&8)+S*(B&7))
#define J(A) K(y+A,b[y])-K(x+A,u)-K(H+A,t)
#define U 16777224
struct _ {int K,V;char X,Y,D;} A[U]; /* hash table, 16M+8 entries*/
int V=112,M=136,S=128,I=8e3,C=799,Q,N,i; /* V=0x70=rank mask, M=0x88 */
char O,K,L,
w[]={0,1,1,3,-1,3,5,9}, /* relative piece values */
o[]={-16,-15,-17,0,1,16,0,1,16,15,17,0,14,18,31,33,0, /* step-vector lists */
7,-1,11,6,8,3,6, /* 1st dir. in o[] per piece*/
6,3,5,7,4,5,3,6}, /* initial piece setup */
b[129], /* board: half of 16x8+dummy*/
T[1035], /* hash translation table */
n[]=".?+nkbrq?*?NKBRQ"; /* piece symbols on printout*/
D(k,q,l,e,J,Z,E,z,n) /* recursive minimax search, k=moving side, n=depth*/
int k,q,l,e,J,Z,E,z,n; /* (q,l)=window, e=current eval. score, E=e.p. sqr.*/
{ /* e=score, z=prev.dest; J,Z=hashkeys; return score*/
int j,r,m,v,d,h,i=9,F,G;
char t,p,u,x,y,X,Y,H,B;
struct _*a=A;
/* lookup pos. in hash table*/
j=(k*E^J)&U-9; /* try 8 consec. locations */
W((h=A[++j].K)&&h-Z&&--i); /* first empty or match */
a+=i?j:0; /* dummy A[0] if miss & full*/
if(a->K) /* hit: pos. is in hash tab */
{d=a->D;v=a->V;X=a->X; /* examine stored data */
if(d>=n) /* if depth sufficient: */
{if(v>=l|X&S&&v<=q|X&8)return v; /* use if window compatible */
d=n-1; /* or use as iter. start */
}X&=~M;Y=a->Y; /* with best-move hint */
Y=d?Y:0; /* don't try best at d=0 */
}else d=X=Y=0; /* start iter., no best yet */
N++; /* node count (for timing) */
W(d++<n|z==8&N<1e7&d<98) /* iterative deepening loop */
{x=B=X; /* start scan at prev. best */
Y|=8&Y>>4; /* request try noncastl. 1st*/
m=d>1?-I:e; /* unconsidered:static eval */
do{u=b[x]; /* scan board looking for */
if(u&k) /* own piece (inefficient!)*/
{r=p=u&7; /* p = piece type (set r>0) */
j=o[p+16]; /* first step vector f.piece*/
W(r=p>2&r<0?-r:-o[++j]) /* loop over directions o[] */
{A: /* resume normal after best */
y=x;F=G=S; /* (x,y)=move, (F,G)=castl.R*/
do{H=y+=r; /* y traverses ray */
if(Y&8)H=y=Y&~M; /* sneak in prev. best move */
if(y&M)break; /* board edge hit */
if(p<3&y==E)H=y^16; /* shift capt.sqr. H if e.p.*/
t=b[H];if(t&k|p<3&!(r&7)!=!t)break; /* capt. own, bad pawn mode */
i=99*w[t&7]; /* value of capt. piece t */
if(i<0||E-S&&b[E]&&y-E<2&E-y<2)m=I; /* K capt. or bad castling */
if(m>=l)goto C; /* abort on fail high */
if(h=d-(y!=z)) /* remaining depth(-recapt.)*/
{v=p<6?b[x+8]-b[y+8]:0; /* center positional pts. */
b[G]=b[H]=b[x]=0;b[y]=u&31; /* do move, strip virgin-bit*/
if(!(G&M)){b[F]=k+6;v+=30;} /* castling: put R & score */
if(p<3) /* pawns: */
{v-=9*(((x-2)&M||b[x-2]!=u)+ /* structure, undefended */
((x+2)&M||b[x+2]!=u)-1); /* squares plus bias */
if(y+r+1&S){b[y]|=7;i+=C;} /* promote p to Q, add score*/
}
v=-D(24-k,-l-(l>e),m>q?-m:-q,-e-v-i, /* recursive eval. of reply */
J+J(0),Z+J(8)+G-S,F,y,h); /* J,Z: hash keys */
v-=v>e; /* delayed-gain penalty */
if(z==9) /* called as move-legality */
{if(v!=-I&x==K&y==L) /* checker: if move found */
{Q=-e-i;O=F;return l;} /* & not in check, signal */
v=m; /* (prevent fail-lows on */
} /* K-capt. replies) */
b[G]=k+38;b[F]=b[y]=0;b[x]=u;b[H]=t; /* undo move,G can be dummy */
if(Y&8){m=v;Y&=~8;goto A;} /* best=1st done,redo normal*/
if(v>m){m=v;X=x;Y=y|S&G;} /* update max, mark with S */
} /* if non castling */
t+=p<5; /* fake capt. for nonsliding*/
if(p<3&6*k+(y&V)==S /* pawn on 3rd/6th, or */
||(u&~24)==36&j==7&& /* virgin K moving sideways,*/
G&M&&b[G=(x|7)-(r>>1&7)]&32 /* 1st, virgin R in corner G*/
&&!(b[G^1]|b[G^2]) /* 2 empty sqrs. next to R */
){F=y;t--;} /* unfake capt., enable e.p.*/
}W(!t); /* if not capt. continue ray*/
}}}W((x=x+9&~M)-B); /* next sqr. of board, wrap */
C:if(m>I/4|m<-I/4)d=99; /* mate is indep. of depth */
m=m+I?m:-D(24-k,-I,I,0,J,Z,S,z,1)/2; /* best loses K: (stale)mate*/
if(!a->K|(a->X&M)!=M|a->D<=d) /* if new/better type/depth:*/
{a->K=Z;a->V=m;a->D=d;A->K=0; /* store in hash,dummy stays*/
a->X=X|8*(m>q)|S*(m<l);a->Y=Y; /* empty, type (limit/exact)*/
} /* encoded in X S,8 bits */
/*if(z==8)printf("%2d ply, %9d searched, %6d by (%2x,%2x)\n",d-1,N,m,X,Y&0x77);*/
}
if(z&8){K=X;L=Y&~M;}
return m;
}
main()
{
int j,k=8,*p,c[9];
F(i,0,8)
{b[i]=(b[i+V]=o[i+24]+40)+8;b[i+16]=18;b[i+96]=9; /* initial board setup*/
F(j,0,8)b[16*j+i+8]=(i-4)*(i-4)+(j-3.5)*(j-3.5); /* center-pts table */
} /*(in unused half b[])*/
F(i,M,1035)T[i]=random()>>9;
W(1) /* play loop */
{F(i,0,121)printf(" %c",i&8&&(i+=7)?10:n[b[i]&15]); /* print board */
p=c;W((*p++=getchar())>10); /* read input line */
N=0;
if(*c-10){K=c[0]-16*c[1]+C;L=c[2]-16*c[3]+C;}else /* parse entered move */
D(k,-I,I,Q,1,1,O,8,0); /* or think up one */
F(i,0,U)A[i].K=0; /* clear hash table */
if(D(k,-I,I,Q,1,1,O,9,2)==I)k^=24; /* check legality & do*/
}
}
The initial boad setup might deserve some explanation:
the piece types in the back of the array o[] are copied to the 1st and 8th rank of the board.
On the 1st rank 40 = 8 + 32 is added, which sets the 'white' and the 'virgin' bit.
On the 8th rank an extra 8 is added, for a total of 48 = 16 + 32, the 'black' and 'virgin' bits.
The 18 = 16 + 2 and 9 = 8 + 1 are the encodings for a black P- and a white P+, respectively.