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//3 vARIABLE KMAP//
clc
clear
function bi = kmap3abx (k)
n =4;
m=2
// k=[0 0 0 1 ; 0 1 1 1 ] ;
k(: ,: ,2)= zeros (m,n);
var =['x' 'A' 'B ' ];
// var =[ 'w' ' x ' ' y ' ' z ' ] ;
p1 =[ ' x ' ' ' ' x ' ];
p2 =[ 'A''B ''' ; 'A''B' ; 'AB' ; 'AB''' ];
cmn4 =4;
cmn2 =2;
temp =1;
// p r i n t f ( ' The minimal eXpression of the given Kmap ' ) ;
disp (k(: ,: ,1));
// disp (" i s : " ) ;
//printf( ' f ' ) ;
//printf("=") ;
bi = ' ' ;
// 8 c e l l s
for i =1: m
for j=1: n
if(k(i,j) ~=1 & k(i,j) ~=2)
temp =0;
break ;
end
end
end
if( temp ==1)
bi = strcat ([ bi " 1 " ]);
return ;
end
// 4 c e l l s
z1= ones (1 ,4);
z2= ones (4 ,1);
z3= ones (2 ,2);
temp1 =[ ' 0 ' ' 1 ' ];
temp2 =[ ' 00 ' ; ' 01 ' ; ' 11 ' ; ' 10 ' ];
for t =1: m
z=k(t ,: ,1);
no= noof (k(t ,: ,2));
if( noof0 (z) ==0 & no < cmn4 & noof (z) >0)
k(t ,: ,2)=z1;
a= strsplit ( temp1 (1,t));
for in =1: max ( size (a))
if(a(in)== ' 0 ' )
bi = strcat ([ bi var (in) ' ' ' ']);
end
if(a(in)== ' 1 ' )
bi = strcat ([ bi var (in)]);
end
end
bi = strcat ([ bi " + " ]);
end
end
for i =1:m -1
for j=1: n
t1=i+1;
if(j==n)
t2 =1;
else
t2=j+1;
end
z4 =[k(i,j ,1) k(i,t2 ,1);k(t1 ,j ,1) k(t1 ,t2,1) ];
z5 =[k(i,j ,2) k(i,t2 ,2);k(t1 ,j ,2) k(t1 ,t2,2) ];
no= noof (z5);
if( noof0 (z4)==0 & no < cmn4 & noof (z4) >0)
k(i,j ,2) =1;
k(i,t2 ,2) =1;
k(t1 ,j ,2) =1;
k(t1 ,t2 ,2) =1;
a= strsplit ( temp2 (j ,1) );
b= strsplit ( temp2 (t2 ,1) );
c= strcmp (a,b);
for in =1: max ( size (c))
if(c(in) ==0 & a(in)== ' 0 ' )
bi = strcat ([ bi var (1+ in) ' '' ' ]);
end
if(c(in) ==0 & a(in)== ' 1 ' )
bi = strcat ([ bi var (1+ in)]);
end
end
bi = strcat ([ bi " + " ]);
end
end
end
// 2 c e l l s
z6 =[1 1];
z7=z6';
for i =1: m
for j=1: n
t1=i+1;
if(j==n)
t2 =1;
else
t2=j+1;
end
z8 =[k(i,j ,1) k(i,t2 ,1) ];
z9 =[k(i,j ,2) k(i,t2 ,2) ];
no1 = noof (z9);
if( noof0 (z8)==0 & no1 < cmn2 & noof (z8) >0)
k(i,j ,2) =1;
k(i,t2 ,2) =1;
bi = strcat ([ bi p1(1,i)]);
a= strsplit ( temp2 (j ,1) );
b= strsplit ( temp2 (t2 ,1) );
c= strcmp (a,b);
for in =1: max ( size (c))
if(c(in) ==0 & a(in)== ' 0 ' )
bi = strcat ([ bi var (1+ in) ' '' ' ]);
bi = strcat ([ bi " + " ]);
end
if(c(in) ==0 & a(in)== ' 1 ' )
bi = strcat ([ bi var (1+ in)]);
bi = strcat ([ bi " + " ]);
end
end
end
end
end
for i =1:m -1
for j=1: n
t1=i+1;
if(j==n)
t2 =1;
else
t2=j+1;
end
z10 =[k(i,j ,1) ;k(t1 ,j ,1) ];
z11 =[k(i,j ,2) ;k(t1 ,j ,2) ];
no2 = noof ( z11 );
if( noof0 ( z10 )==0 & no2 < cmn2 & noof ( z10 )>0) k(i,j ,2) =1;
k(t1 ,j ,2) =1;
bi = strcat ([ bi p2(j ,1) ]);
bi = strcat ([ bi " + " ]);
end
end
end
//single cell//
for i =1: m
for j=1: n
if(k(i,j ,2) ==0 & k(i,j ,1) ==1)
bi = strcat ([ bi p1(1,i)]);
bi = strcat ([ bi p2(j ,1) ]);
bi = strcat ([ bi " + " ]);
end
end
end
bi = strcat ([ bi " 0 " ]);
//disp(" ")
endfunction
disp('Y1=AB+A''B''C''+B''C')
|
