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Copy pathCORLD_correlator.m
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CORLD_correlator.m
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clear;
%_______________________Control parameters____________________
n=6;
k=2^(n);
input_mode=0; %if 0, the bit-streams are FSM-based, elsif 1 it is sobol-based, otherwise LFSR-based
fix_size=3; %fix_size determines the size of correlator
out_base_selector= 2; %output format=> 1=FSM 2=SObol 3=Unary
Sobol_nums=100;
p=sobolset(Sobol_nums,'skip',0,'Leap',0);
SDS = net(p,k);
SDS_input1=3; %if input is Sobol or FSM based, these are sobol numbers that inputs are generated based on them
SDS_input2=7;
SDS1_fix=SDS(:,1); %if output format is either FSM or Sobol based, these params determines the type based on chosen sobol numbers
SDS2_fix=SDS(:,1);
cm_depth=2; % depth of correlation manipulation (cm) technique
cm_after=0; % if 1=> cm after proposed CORLD is activated
%________________________End of control unit___________________
r1=rand(k,1);
r2=rand(k,1);
if n==8
lfsr_out1=LFSR([0 0 0 0 0 0 0 1], [8 6 5 4], n);
lfsr_out2=LFSR([0 0 0 0 0 0 0 1], [8 6 5 2], n);
elseif n==7
lfsr_out1=LFSR([0 0 0 0 0 0 1], [7 3 2 1], n);
lfsr_out2=LFSR([0 0 0 0 0 0 1], [7 5 3 1], n);
elseif n==6
lfsr_out1=LFSR([0 0 0 0 0 1], [6 5 4 1], n);
lfsr_out2=LFSR([0 0 0 0 0 1], [6 4 3 1], n);
end
if input_mode==2
SDS1=lfsr_out1;
SDS2=lfsr_out2;
else
SDS1=SDS(:,SDS_input1);
SDS2=SDS(:,SDS_input2);
end
% basic output for proposed FSM
for bs=0:2^fix_size-1
for i=1:fix_size
base(i)= floor(mod(bs,2^i)/(2^(i-1)));
end
for i=1:2^fix_size
step=0;
for j=1:fix_size
step = step + (2^(fix_size-j))/(2^fix_size);
if SDS1_fix(i)< step
out_base_fsm(bs+1,i)=base(fix_size-j+1);
break;
end
if SDS1_fix(i) == ((2^fix_size)-1)/(2^fix_size)
out_base_fsm(bs+1,i)=0;
end
end
end
end
% basic output 2 for proposed FSM
for bs=0:2^fix_size-1
for i=1:fix_size
base(i)= floor(mod(bs,2^i)/(2^(i-1)));
end
for i=1:2^fix_size
step=0;
for j=1:fix_size
step = step + (2^(fix_size-j))/(2^fix_size);
if SDS2_fix(i)< step
out_base_fsm2(bs+1,i)=base(fix_size-j+1);
break;
end
if SDS2_fix(i) == ((2^fix_size)-1)/(2^fix_size)
out_base_fsm2(bs+1,i)=0;
end
end
end
end
% basic output format for Sobol
for bs=0:2^fix_size-1
for j=1:2^fix_size
out_base_sobol(bs+1,j) = bs/2^fix_size > SDS1_fix(j);
end
end
% basic output2 format for Sobol
for bs=0:2^fix_size-1
for j=1:2^fix_size
out_base_sobol2(bs+1,j) = bs/2^fix_size > SDS2_fix(j);
end
end
% basic output format for Unary
for bs=0:2^fix_size-1
for j=1:2^fix_size
out_base_unary(bs+1,j) = bs > j-1;
end
end
if out_base_selector==1
out_base = out_base_fsm;
out_base2 = out_base_fsm;
elseif out_base_selector==2
out_base = out_base_sobol;
out_base2 = out_base_sobol2;
elseif out_base_selector==3
out_base = out_base_unary;
out_base2 = out_base_unary;
end
% for run=1:50
% SDS1=rand(k,1);
% SDS2=rand(k,1);
for aa=0:2^n-1
for bb=0:2^n-1
for i=1:n
A(i)= floor(mod(aa,2^i)/(2^(i-1)));
end
for i=1:n
B(i)= floor(mod(bb,2^i)/(2^(i-1)));
end
out1=zeros(k,1);
out1al=zeros(k,1);
out2=zeros(k,1);
Mulres=zeros(k,1);
outs1=zeros(k,1);
outs2=zeros(k,1);
SobolMulres=zeros(k,1);
if input_mode~=0
out1=(aa/(2^n))>SDS1;
out2=(bb/(2^n))>SDS2;
else
for i=1:k
step=0;
for j=1:n
step = step + (2^(n-j))/(2^n);
if SDS1(i)< step
out1(i)=A(n-j+1);
out1al(i) = n-j+1;
break;
end
if SDS1(i) == ((2^n)-1)/(2^n)
out1(i)=0;
out1al(i) = n;
end
end
end
for i=1:k
step=0;
for j=1:n
step = step + (2^(n-j))/(2^n);
if SDS2(i)< step
out2(i)=B(n-j+1);
break;
end
if SDS2(i) == ((2^n)-1)/(2^n)
out2(i)=0;
end
end
end
end
% Original SCC
a=0;
b=0;
c=0;
d=0;
for i=1:k
if out1(i)==1 && out2(i)==1
a=a+1;
elseif out1(i)==1 && out2(i)==0
b=b+1;
elseif out1(i)==0 && out2(i)==1
c=c+1;
elseif out1(i)==0 && out2(i)==0
d=d+1;
end
end
if a*d > b*c
SCC_original(aa+1,bb+1)= (a*d-b*c)/(k*min(a+b,a+c) - (a+b)*(a+c));
else
SCC_original(aa+1,bb+1)= (a*d-b*c)/((a+b)*(a+c) - k*max(a-d,0));
end
if isnan(SCC_original(aa+1,bb+1))
SCC_original(aa+1,bb+1)=0;
end
% Correlation manipulation techique
[out_cm_1,out_cm_2]=CM(k,cm_depth,out1,out2);
result_cm(aa+1,bb+1)=sum(out_cm_1 & out_cm_2)/k;
result_cm_xor(aa+1,bb+1)=sum(xor(out_cm_1,out_cm_2))/k;
result_cm_max(aa+1,bb+1)=sum(out_cm_1 | out_cm_2)/k;
%out1=out_cm_1;
%out2=out_cm_2;
%pack
%out_temp=out1;
flag=0;
if fix_size ~= 0
for pack_index=1:k/2^fix_size
sum_index=sum(out1((pack_index-1)*(2^fix_size)+1:pack_index*(2^fix_size)))+1;
flag=0;
if sum_index>2^fix_size
flag=1;
end
if flag==1
flag=0;
else
for fixer_index=1:2^fix_size
out1((pack_index-1)*(2^fix_size)+fixer_index) = out_base(sum_index,fixer_index);
end
end
end
end
flag=0;
if fix_size ~= 0
for pack_index=1:k/2^fix_size
sum_index=sum(out2((pack_index-1)*(2^fix_size)+1:pack_index*(2^fix_size)))+1;
flag=0;
if sum_index>2^fix_size
flag=1;
end
if flag==1
flag=0;
else
for fixer_index=1:2^fix_size
out2((pack_index-1)*(2^fix_size)+fixer_index) = out_base2(sum_index,fixer_index);
end
end
end
end
% Correlation manipulation techique
if cm_after==1
[out_cm_1,out_cm_2]=CM(k,cm_depth,out1,out2);
out1=out_cm_1;
out2=out_cm_2;
end
Mulres=out1 & out2;
Mulresult((aa)*k+bb+1,1:k)=Mulres;
MulresultIndex((aa)*k+bb+1,1) = aa;
MulresultIndex((aa)*k+bb+1,2) = bb;
result(aa+1,bb+1)=sum(Mulres)/k;
result_xor(aa+1,bb+1)=sum(xor(out1,out2))/k;
result_max(aa+1,bb+1)=sum(out1 | out2)/k;
outs1=(aa/(2^n))>SDS1;
outs2=(bb/(2^n))>SDS2;
%Mulres_sobol
%sum(Mulres_sobol)
flag=0;
if fix_size ~= 0
for pack_index=1:k/2^fix_size
mul_sum_index=sum(outs1((pack_index-1)*(2^fix_size)+1:pack_index*(2^fix_size)))+1;
flag=0;
if mul_sum_index>2^fix_size
flag=1;
end
if flag==1
flag=0;
else
for fixer_index=1:2^fix_size
outs1((pack_index-1)*(2^fix_size)+fixer_index) = out_base(mul_sum_index,fixer_index);
end
end
end
end
flag=0;
if fix_size ~= 0
for pack_index=1:k/2^fix_size
mul_sum_index=sum(outs2((pack_index-1)*(2^fix_size)+1:pack_index*(2^fix_size)))+1;
flag=0;
if mul_sum_index>2^fix_size
flag=1;
end
if flag==1
flag=0;
else
for fixer_index=1:2^fix_size
outs2((pack_index-1)*(2^fix_size)+fixer_index) = out_base2(mul_sum_index,fixer_index);
end
end
end
end
% Correlation manipulation techique
if cm_after==1
[out_cm_1,out_cm_2]=CM(k,cm_depth,out1,out2);
outs1=out_cm_1;
outs2=out_cm_2;
end
Mulres_sobol = outs1 & outs2;
resultsobol(aa+1,bb+1)=sum(Mulres_sobol)/k;
resultsobol_xor(aa+1,bb+1)=sum(xor(outs1,outs2))/k;
resultsobol_max(aa+1,bb+1)=sum(outs1 | outs2)/k;
resultoriginal_mp(aa+1,bb+1)=(aa*bb)/(2^(2*n));
resultoriginal_xor(aa+1,bb+1)=abs(aa-bb)/(2^n);
if aa < bb
resultoriginal(aa+1,bb+1)=aa/k;
else
resultoriginal(aa+1,bb+1)=bb/k;
end
if aa > bb
resultoriginal_max(aa+1,bb+1)=aa/k;
else
resultoriginal_max(aa+1,bb+1)=bb/k;
end
%SCC calculation for my proposed method on FSM
a=0;
b=0;
c=0;
d=0;
for i=1:k
if out1(i)==1 && out2(i)==1
a=a+1;
elseif out1(i)==1 && out2(i)==0
b=b+1;
elseif out1(i)==0 && out2(i)==1
c=c+1;
elseif out1(i)==0 && out2(i)==0
d=d+1;
end
end
if a*d > b*c
SCC(aa+1,bb+1)= (a*d-b*c)/(k*min(a+b,a+c) - (a+b)*(a+c));
else
SCC(aa+1,bb+1)= (a*d-b*c)/((a+b)*(a+c) - k*max(a-d,0));
end
if isnan(SCC(aa+1,bb+1))
SCC(aa+1,bb+1)=0;
end
%SCC calculation my proposed method on Sobol
a=0;
b=0;
c=0;
d=0;
for i=1:k
if outs1(i)==1 && outs2(i)==1
a=a+1;
elseif outs1(i)==1 && outs2(i)==0
b=b+1;
elseif outs1(i)==0 && outs2(i)==1
c=c+1;
elseif outs1(i)==0 && outs2(i)==0
d=d+1;
end
end
if a*d > b*c
SCC_sobol(aa+1,bb+1)= (a*d-b*c)/(k*min(a+b,a+c) - (a+b)*(a+c));
else
SCC_sobol(aa+1,bb+1)= (a*d-b*c)/((a+b)*(a+c) - k*max(a-d,0));
end
if isnan(SCC_sobol(aa+1,bb+1))
SCC_sobol(aa+1,bb+1)=0;
end
%SCC calculation for correlation manipulation
a=0;
b=0;
c=0;
d=0;
for i=1:k
if out_cm_1(i)==1 && out_cm_2(i)==1
a=a+1;
elseif out_cm_1(i)==1 && out_cm_2(i)==0
b=b+1;
elseif out_cm_1(i)==0 && out_cm_2(i)==1
c=c+1;
elseif out_cm_1(i)==0 && out_cm_2(i)==0
d=d+1;
end
end
if a*d > b*c
SCC_cm(aa+1,bb+1)= (a*d-b*c)/(k*min(a+b,a+c) - (a+b)*(a+c));
else
SCC_cm(aa+1,bb+1)= (a*d-b*c)/((a+b)*(a+c) - k*max(a-d,0));
end
if isnan(SCC_cm(aa+1,bb+1))
SCC_cm(aa+1,bb+1)=0;
end
end
end
SCC_cm(2,2)=0;
SCC_avg=mean(mean(SCC(2:2^n,2:2^n)));
%SCC_avg_sobol=mean(mean(SCC_sobol(2:2^n,2:2^n)));
SCC_avg_cm=mean(mean(SCC_cm(2:2^n,2:2^n)));
SCC_avg_original=mean(mean(SCC_original(2:2^n,2:2^n)));
%errorsobol_min_mean=mean(mean(abs(resultoriginal-resultsobol)));
%errorsobol_max_mean=mean(mean(abs(resultoriginal_max-resultsobol_max)));
%errorsobol_mp_mean=mean(mean(abs(resultoriginal_mp-resultsobol)));
%errorsobol_mp_max=max(max(abs(resultoriginal_mp-resultsobol)));
%errorsobol_xor_mean=mean(mean(abs(resultoriginal_xor-resultsobol_xor)));
error_min_mean=mean(mean(abs(resultoriginal-result)));
error_max_mean=mean(mean(abs(resultoriginal_max-result_max)));
error_min_max=max(max(abs(resultoriginal-result)));
error_mp_mean=mean(mean(abs(resultoriginal_mp-result)));
error_mp_max=max(max(abs(resultoriginal_mp-result)));
error_xor_mean=mean(mean(abs(resultoriginal_xor-result_xor)));
error_cm_min_mean=mean(mean(abs(resultoriginal-result_cm)));
error_cm_max_mean=mean(mean(abs(resultoriginal_max-result_cm_max)));
error_cm_min_max=max(max(abs(resultoriginal-result_cm)));
error_cm_xor_mean=mean(mean(abs(resultoriginal_xor-result_cm_xor)));
% SCC_run(run)=SCC_avg_original;
% SCC_sobol_run(run)=SCC_avg_sobol;
% SCC_cm_run(run)=SCC_avg_cm;
%
% error_cm_min(run)=error_cm_min_mean;
% error_cm_max(run)=error_cm_max_mean;
%
% error_sobol_min(run)=errorsobol_min_mean;
% error_sobol_max(run)=errorsobol_max_mean;
%
%
%
% end
%
% final_error_cm_min=mean(error_cm_min);
% final_error_cm_max=mean(error_cm_max);
%
% final_error_sobol_min=mean(error_sobol_min);
% final_error_sobol_max=mean(error_sobol_max);
%
% final_SCC=mean(SCC_run);
% final_SCC_sobol=mean(SCC_sobol_run);
% final_SCC_cm=mean(SCC_cm_run);