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//3-VARIABLE KMAP
//this function returns the a string containing the minimized expression for the given 3 variable kmap
//this function requires
//noof.sci
//noof0.sci
function bi = kmap3a(k)
n=4;
m=2
k(:,:,2)=zeros(m,n);
var=['An' 'X' 'Y'];
p1=['An''' 'An'];
p2=['X''Y''';'X''Y';'XY';'XY'''];
cmn4=4;
cmn2=2;
temp=1;
disp(k(:,:,1));
bi = ' ';
//checking all the 8 1's cases
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
//checking all the 4 1's cases
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
//checking all the 2 1's cases
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
//checking if any single isolated 1's are left
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 "]);
endfunction
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