x=[-0.2163 -0.8328 0.0627 0.1438 -0.5732 0.5955 0.5946 -0.0188]+1;%u=0,sigma=0.5,gauss%
y=[0.5334 0.0296 -0.0478 -0.4162 0.1472 -0.6681 0.3572 0.8118]+1;%u=0,sigma=0.5,gauss%
alpha=zeros(8,16,2);alpha0=1; % alpha(k,m,2-i),i=0,1
belta=zeros(8,16); belta(8,1)=1; % belta(k,m)
gama=zeros(8,16,2); % gama(k,m,2-i)
%%%%%%%%%%%%%%%%%step 1 %%%%%%%%%%%%%%%%%%%
k=1; % m'=0,m=0,8 k=1~8;
m=0;
i=1;gama(k,9,1)=0.5*gau(x(k),y(k),1); %i=1,m=8
i=0;gama(k,1,2)=0.5*gau(x(k),y(k),0); %i=0,m=0
alpha(k,9,1)=2*gama(k,9,1)/((gama(k,9,1)+gama(k,1,2))*2); %i=1;
alpha(k,1,2)=2*gama(k,1,2)/((gama(k,9,1)+gama(k,1,2))*2); %i=0
%%%%%%%%%%%%%%%%%step 2 %%%%%%%%%%%%%%%%%%%
k=2; % m'=0,8 m=0,8;4,12
gama(k,1,2)=0.5*gau(x(k),y(k),0); %i=0 m=0,m'=0
gama(k,9,1)=0.5*gau(x(k),y(k),1); %i=1 m=8 m'=0
gama(k,5,2)=0.5*gau(x(k),y(k),0); %i=0,m=4 m'=8
gama(k,13,1)=0.5*gau(x(k),y(k),1); %i=1,m=12 m'=8
de=0;
for i=0:1
ms=[0 8];
de=de+sum(gama(k,mod(ms,8)+8*i+1,2-i).*(alpha(k-1,ms+1,1)+alpha(k-1,ms+1,2)));
end
alpha(k,1,2)=gama(k,1,2)*sum(alpha(k-1,1,:))/de; %i=0,m'=0,m=0
alpha(k,9,1)=gama(k,9,1)*sum(alpha(k-1,9,:))/de;
alpha(k,5,2)=gama(k,5,2)*sum(alpha(k-1,5,:))/de;
alpha(k,13,1)=gama(k,13,1)*sum(alpha(k-1,13,:))/de;
%%%%%%%%%%%%%%%%%step 3 %%%%%%%%%%%%%%%%%%%
k=3; % m'=0,8,4,12 m=0,8,4,12,2,10,6,14
gama(k,1,2)=0.5*gau(x(k),y(k),0); %i=0 m=0,m'=0
gama(k,9,1)=0.5*gau(x(k),y(k),1); %i=1 m=8 m'=0
gama(k,5,2)=0.5*gau(x(k),y(k),0); %i=0,m=4 m'=8
gama(k,13,1)=0.5*gau(x(k),y(k),1); %i=1,m=12 m'=8
gama(k,3,2)=0.5*gau(x(k),y(k),0); %i=0 m=2,m'=4
gama(k,11,1)=0.5*gau(x(k),y(k),1); %i=1 m=10 m'=4
gama(k,7,2)=0.5*gau(x(k),y(k),0); %i=0,m=6 m'=12
gama(k,15,1)=0.5*gau(x(k),y(k),1); %i=1,m=14 m'=12
de=0;
for i=0:1
ms=[0 8 4 12];
de=de+sum(gama(k,mod(ms,8)+8*i+1,2-i).*(alpha(k-1,ms+1,1)+alpha(k-1,ms+1,2)));
end
alpha(k,1,2)=gama(k,1,2)*sum(alpha(k-1,1,:))/de; %i=0,m'=0,m=0
alpha(k,9,1)=gama(k,9,1)*sum(alpha(k-1,9,:))/de;
alpha(k,5,2)=gama(k,5,2)*sum(alpha(k-1,5,:))/de;
alpha(k,13,1)=gama(k,13,1)*sum(alpha(k-1,13,:))/de;
alpha(k,3,2)=gama(k,3,2)*sum(alpha(k-1,3,:))/de; %i=0,m'=0,m=0
alpha(k,11,1)=gama(k,11,1)*sum(alpha(k-1,11,:))/de;
alpha(k,7,2)=gama(k,7,2)*sum(alpha(k-1,7,:))/de;
alpha(k,15,1)=gama(k,15,1)*sum(alpha(k-1,15,:))/de;
%%%%%%%%%%%%%%%%%step 4 %%%%%%%%%%%%%%%%%%%
k=4; % m'=0,8,4,12,2,10,6,14, m=0,8,4,12,2,10,6,14,1,9,5,13,3,11,7,15
gama(k,1,2)=0.5*gau(x(k),y(k),0); %i=0 m=0,m'=0
gama(k,9,1)=0.5*gau(x(k),y(k),1); %i=1 m=8 m'=0
gama(k,5,2)=0.5*gau(x(k),y(k),0); %i=0,m=4 m'=8
gama(k,13,1)=0.5*gau(x(k),y(k),1); %i=1,m=12 m'=8
gama(k,3,2)=0.5*gau(x(k),y(k),0); %i=0 m=2,m'=4
gama(k,11,1)=0.5*gau(x(k),y(k),1); %i=1 m=10 m'=4
gama(k,7,2)=0.5*gau(x(k),y(k),0); %i=0,m=6 m'=12
gama(k,15,1)=0.5*gau(x(k),y(k),1); %i=1,m=14 m'=12
gama(k,1+1,2)=0.5*gau(x(k),y(k),0); %i=0 m=1,m'=2
gama(k,9+1,1)=0.5*gau(x(k),y(k),1); %i=1 m=9 m'=2
gama(k,5+1,2)=0.5*gau(x(k),y(k),0); %i=0,m=5 m'=10
gama(k,13+1,1)=0.5*gau(x(k),y(k),1); %i=1,m=13 m'=10
gama(k,3+1,2)=0.5*gau(x(k),y(k),0); %i=0 m=3,m'=6
gama(k,11+1,1)=0.5*gau(x(k),y(k),1); %i=1 m=11 m'=6
gama(k,7+1,2)=0.5*gau(x(k),y(k),0); %i=0,m=7 m'=14
gama(k,15+1,1)=0.5*gau(x(k),y(k),1); %i=1,m=15 m'=14
de=0;
for i=0:1
ms=[0 8 4 12 2,10,6,14];
de=de+sum(gama(k,mod(ms,8)+8*i+1,2-i).*(alpha(k-1,ms+1,1)+alpha(k-1,ms+1,2)));
end
alpha(k,1,2)=gama(k,1,2)*sum(alpha(k-1,1,:))/de; %i=0,m'=0,m=0
alpha(k,9,1)=gama(k,9,1)*sum(alpha(k-1,9,:))/de;
alpha(k,5,2)=gama(k,5,2)*sum(alpha(k-1,5,:))/de;
alpha(k,13,1)=gama(k,13,1)*sum(alpha(k-1,13,:))/de;
alpha(k,3,2)=gama(k,3,2)*sum(alpha(k-1,3,:))/de; %i=0,m'=0,m=0
alpha(k,11,1)=gama(k,11,1)*sum(alpha(k-1,11,:))/de;
alpha(k,7,2)=gama(k,7,2)*sum(alpha(k-1,7,:))/de;
alpha(k,15,1)=gama(k,15,1)*sum(alpha(k-1,15,:))/de;
alpha(k,1+1,2)=gama(k,1+1,2)*sum(alpha(k-1,1+1,:))/de; %i=0,m'=0,m=0
alpha(k,9+1,1)=gama(k,9+1,1)*sum(alpha(k-1,9+1,:))/de;
alpha(k,5+1,2)=gama(k,5+1,2)*sum(alpha(k-1,5+1,:))/de;
alpha(k,13+1,1)=gama(k,13+1,1)*sum(alpha(k-1,13+1,:))/de;
alpha(k,3+1,2)=gama(k,3+1,2)*sum(alpha(k-1,3+1,:))/de; %i=0,m'=0,m=0
alpha(k,11+1,1)=gama(k,11+1,1)*sum(alpha(k-1,11+1,:))/de;
alpha(k,7+1,2)=gama(k,7+1,2)*sum(alpha(k-1,7+1,:))/de;
alpha(k,15+1,1)=gama(k,15+1,1)*sum(alpha(k-1,15+1,:))/de;
%%%%%%%%%%%%%%%%%step 5 %%%%%%%%%%%%%%%%%%%
for k=5:8
for j=1:2:15
for i=1:2
gama(k,j,i)=0.5*gau(x(),y(),)
end
end
end
