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neglogpost.m
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neglogpost.m
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function [f, fx, fxx, data] = neglogpost(x, par)
global iter
on = true; off = false;
% print and save current parameter values to
% a file that is used to reset parameters ;
if iter == 0
PrintPar(x, par) ;
end
% reset parameters if optimization routine
% suggests strange parameter values ;
if iter < 10
x = ResetPar(x, par) ;
end
% print current parameters
if iter > 0
PrintPar(x, par) ;
end
fprintf('current iteration is %d \n',iter) ;
iter = iter + 1 ;
nx = length(x) ; % number of parameters
dVt = par.dVt ;
M3d = par.M3d ;
iwet = par.iwet ;
nwet = par.nwet ;
%
f = 0 ;
%%%%%%%%%%%%%%%%%% Solve P %%%%%%%%%%%%%%%%%%%%%%%%
idip = find(par.po4raw(iwet) > 0.05) ;
Wp = d0(dVt(iwet(idip))/sum(dVt(iwet(idip)))) ;
mu = sum(Wp*par.po4raw(iwet(idip)))/sum(diag(Wp)) ;
var = sum(Wp*(par.po4raw(iwet(idip))-mu).^2)/sum(diag(Wp)) ;
Wip = par.dipscale*Wp/var ;
idop = find(par.dopraw(iwet) > 0.0) ;
Wp = d0(dVt(iwet(idop))/sum(dVt(iwet(idop)))) ;
mu = sum(Wp*par.dopraw(iwet(idop)))/sum(diag(Wp)) ;
var = sum(Wp*(par.dopraw(iwet(idop))-mu).^2)/sum(diag(Wp)) ;
Wop = par.dopscale*Wp/var ;
%
tic
[par, P, Px, Pxx] = eqPcycle(x, par) ;
DIP = M3d+nan ; DIP(iwet) = P(1+0*nwet:1*nwet) ;
POP = M3d+nan ; POP(iwet) = P(1+1*nwet:2*nwet) ;
DOP = M3d+nan ; DOP(iwet) = P(1+2*nwet:3*nwet) ;
DOPl = M3d+nan ; DOPl(iwet) = P(1+2*nwet:3*nwet) ;
toc
par.Px = Px ;
par.Pxx = Pxx ;
par.DIP = DIP(iwet) ;
data.DIP = DIP ; data.POP = POP ;
data.DOP = DOP ; data.DOPl = DOPl ;
% DIP error
eip = DIP(iwet(idip)) - par.po4raw(iwet(idip)) ;
eop = DOP(iwet(idop)) - par.dopraw(iwet(idop)) ;
f = f + 0.5*(eip.'*Wip*eip) + 0.5*(eop.'*Wop*eop);
%%%%%%%%%%%%%%%%%% End Solve P %%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% Solve Si %%%%%%%%%%%%%%%%%%%%
if (par.Simodel == on)
isil = find(par.sio4raw(iwet)>0) ;
Ws = d0(dVt(iwet(isil))/sum(dVt(iwet(isil)))) ;
mu = sum(Ws*par.sDSi(iwet(isil)))/sum(diag(Ws)) ;
var = sum(Ws*(par.sDSi(iwet(isil))-mu).^2)/sum(diag(Ws));
Ws = Ws/var ;
%
[par,Si,Six,Sixx] = eqSicycle(x, par) ;
DSi = M3d+nan ; DSi(iwet) = Si(1:nwet) ;
bSi = M3d+nan ; bSi(iwet) = Si(nwet+1:end) ;
data.DSi = SI ; data.bSi = bSi ;
% SiO error
es = DSi(iwet(isil)) - par.sio4raw(iwet(isil)) ;
f = f + 0.5*(es.'*Ws*es) ;
end
%%%%%%%%%%%%%%%%%% End Solve Si %%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% Solve C %%%%%%%%%%%%%%%%%%%%%%%%
if (par.Cmodel == on)
idic = find(par.dicraw(iwet) > 0) ;
Wic = d0(dVt(iwet(idic))/sum(dVt(iwet(idic)))) ;
mu = sum(Wic*par.dicraw(iwet(idic)))/sum(diag(Wic)) ;
var = sum(Wic*(par.dicraw(iwet(idic))-mu).^2)/sum(diag(Wic));
Wic = par.dicscale*Wic/var ;
ialk = find(par.alkraw(iwet) > 0) ;
Wlk = d0(dVt(iwet(ialk))/sum(dVt(iwet(ialk)))) ;
mu = sum(Wlk*par.alkraw(iwet(ialk)))/sum(diag(Wlk)) ;
var = sum(Wlk*(par.alkraw(iwet(ialk))-mu).^2)/sum(diag(Wlk));
Wlk = par.alkscale*Wlk/var ;
idoc = find(par.docraw(iwet) > 0) ;
Woc = d0(dVt(iwet(idoc))/sum(dVt(iwet(idoc)))) ;
mu = sum(Woc*par.docraw(iwet(idoc)))/sum(diag(Woc)) ;
var = sum(Woc*(par.docraw(iwet(idoc))-mu).^2)/sum(diag(Woc));
Woc = par.docscale*Woc/var ;
tic
[par, C, Cx, Cxx] = eqCcycle(x, par) ;
DIC = M3d+nan ; DIC(iwet) = C(0*nwet+1:1*nwet) ;
POC = M3d+nan ; POC(iwet) = C(1*nwet+1:2*nwet) ;
DOC = M3d+nan ; DOC(iwet) = C(2*nwet+1:3*nwet) ;
PIC = M3d+nan ; PIC(iwet) = C(3*nwet+1:4*nwet) ;
ALK = M3d+nan ; ALK(iwet) = C(4*nwet+1:5*nwet) ;
DOCl = M3d+nan ; DOCl(iwet) = C(5*nwet+1:6*nwet) ;
DOCr = M3d+nan ; DOCr(iwet) = C(6*nwet+1:7*nwet) ;
toc
par.DIC = DIC(iwet) ;
par.POC = POC(iwet) ;
par.DOC = DOC(iwet) ;
par.DOCl = DOCl(iwet) ;
par.DOCr = DOCr(iwet) ;
% DIC = DIC + par.dicant ;
par.Cx = Cx ; par.Cxx = Cxx ;
data.DIC = DIC ; data.POC = POC ;
data.DOC = DOC ; data.PIC = PIC ;
data.ALK = ALK ; data.DOCr = DOCr ;
data.DOCl = DOCl ;
% DIC error
DOC = DOC + DOCr + DOCl; % sum of labile and refractory DOC ;
eic = DIC(iwet(idic)) - par.dicraw(iwet(idic)) ;
eoc = DOC(iwet(idoc)) - par.docraw(iwet(idoc)) ;
elk = ALK(iwet(ialk)) - par.alkraw(iwet(ialk)) ;
f = f + 0.5*(eic.'*Wic*eic) + 0.5*(eoc.'*Woc*eoc) + ...
0.5*(elk.'*Wlk*elk);
end
%%%%%%%%%%%%%%%%%% End Solve C %%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%% Solve O %%%%%%%%%%%%%%%%%%%%%%%%
if (par.Omodel == on)
io2 = find(par.o2raw(iwet)>0) ;
Wo = d0(dVt(iwet(io2))/sum(dVt(iwet(io2)))) ;
mu = sum(Wo*par.o2raw(iwet(io2)))/sum(diag(Wo)) ;
var = sum(Wo*(par.o2raw(iwet(io2))-mu).^2)/sum(diag(Wo)) ;
Wo = par.o2scale*Wo/var ;
%
tic
[par, O, Ox, Oxx] = eqOcycle_v2(x, par) ;
toc
O2 = M3d+nan ; O2(iwet) = O ;
data.O2 = O2 ;
eo = O2(iwet(io2)) - par.o2raw(iwet(io2)) ;
f = f + 0.5*(eo.'*Wo*eo) ;
end
%%%%%%%%%%%%%%%%%% End Solve O %%%%%%%%%%%%%%%%%%%%
fprintf('current objective function value is %3.3e \n\n',f)
if mod(iter, 10) == 0
save(par.fname, 'data')
end
%% +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
% calculate gradient
if (nargout > 1)
fx = zeros(length(x), 1) ;
ipx = Px(0*nwet+1:nwet,:) ;
opx = Px(2*nwet+1:end ,:) ;
npx = par.npx ;
% ---------------------------------
for ji = 1 : npx
fx(ji) = eip.'*Wip*ipx(idip,ji) + eop.'*Wop*opx(idop,ji);
end
% ---------------------------------
if (par.Simodel == on & par.Omodel == off & par.Cmodel == off)
sx = Six(1:nwet,:) ;
nsx = par.nsx ;
% --------------------------
for ji = 1 : npx+nsx
fx(ji) = fx(ji) + es.'*Ws*sx(isil, ji) ;
end
end
% ----------------------------------
% ----------------------------------
if (par.Cmodel == on & par.Simodel == off)
icx = Cx(0*nwet+1 : 1*nwet, :) ;
ocx = Cx(2*nwet+1 : 3*nwet, :) + Cx(5*nwet+1 : 6*nwet, :) + Cx(6*nwet+1 : 7*nwet, :);
lkx = Cx(4*nwet+1 : 5*nwet, :) ;
ncx = par.ncx ;
% --------------------------
for ji = 1 : npx+ncx
fx(ji) = eic.'*Wic*icx(idic, ji) + ...
eoc.'*Woc*ocx(idoc, ji) + ...
elk.'*Wlk*lkx(ialk, ji) + ...
fx(ji);
end
end
% ----------------------------------
% ----------------------------------
if (par.Omodel == on & par.Simodel == off)
ox = Ox(1:nwet, :) ;
nox = par.nox ;
% --------------------------
for ji = 1 : npx+ncx+nox
fx(ji) = fx(ji) + eo.'*Wo*ox(io2, ji) ;
end
end
% ----------------------------------
% ----------------------------------
if (par.Cmodel == on & par.Simodel == on & par.Omodel == off)
ncx = par.ncx ;
nsx = par.nsx ;
icx = Cx(0*nwet+1 : 1*nwet, :) ;
ocx = Cx(2*nwet+1 : 3*nwet, :) + Cx(5*nwet+1 : 6*nwet, :) + Cx(6*nwet+1 : 7*nwet, :);
lkx = Cx(4*nwet+1 : 5*nwet, :) ;
sx = Six(1:nwet, :) ;
% --------------------------
for ji = 1 : npx
fx(ji) = eic.'*Wic*icx(idic, ji) + ...
eoc.'*Woc*ocx(idoc, ji) + ...
elk.'*Wlk*lkx(ialk, ji) + ...
es.'*Ws*sx(isil, ji) + fx(ji) ;
end
% --------------------------
for ji = npx+1 : npx+ncx
fx(ji) = eic.'*Wic*icx(idic, ji) + ...
eoc.'*Woc*ocx(idoc, ji) + ...
elk.'*Wlk*lkx(ialk, ji) + ...
fx(ji);
end
% --------------------------
for ji = npx+ncx+1 : npx+ncx+nsx
fx(ji) = fx(ji) + es.'*Ws*sx(isil, ji) ;
end
end
% ----------------------------------
% ----------------------------------
if (par.Cmodel == on & par.Simodel == on & par.Omodel == on)
ncx = par.ncx ;
nox = par.nox ;
nsx = par.nsx ;
icx = Cx(0*nwet+1 : 1*nwet, :) ;
ocx = Cx(2*nwet+1 : 3*nwet, :) + Cx(5*nwet+1 : 6*nwet, :) + Cx(6*nwet+1 : 7*nwet, :);
lkx = Cx(4*nwet+1 : 5*nwet, :) ;
ox = Ox(1:nwet,:) ;
sx = Six(1:nwet,:);
% --------------------------
for ji = 1 : npx
fx(ji) = eic.'*Wic*icx(idic, ji) + ...
eoc.'*Woc*ocx(idoc, ji) + ...
elk.'*Wlk*lkx(ialk, ji) + ...
eo.'*Wo*ox(io2 , ji) + ...
es.'*Ws*sx(isil, ji) + fx(ji) ;
end
% --------------------------
for ji = npx+1 : npx+ncx
fx(ji) = eic.'*Wic*icx(idic, ji) + ...
eoc.'*Woc*ocx(idoc, ji) + ...
elk.'*Wlk*lkx(ialk, ji) + ...
fx(ji);
end
% --------------------------
for ji = npx+1 : npx+ncx+nox
fx(ji) = fx(ji) + eo.'*Wo*ox(io2, ji) ;
end
% --------------------------
for ji = npx+ncx+nox+1 : npx+ncx+nox+nsx
fx(ji) = fx(ji) + es.'*Ws*sx(isil, ji) ;
end
end
% ----------------------------------
end
%
if (nargout>2)
fxx = sparse(npx, npx) ;
ipxx = Pxx(0*nwet+1 : 1*nwet, :) ;
opxx = Pxx(2*nwet+1 : 3*nwet, :) ;
% ----------------------------------------------------------------
kk = 0;
for ju = 1:npx
for jo = ju:npx
kk = kk + 1 ;
fxx(ju,jo) = ...
ipx(idip,ju).'*Wip*ipx(idip,jo) + eip.'*Wip*ipxx(idip,kk) + ...
opx(idop,ju).'*Wop*opx(idop,jo) + eop.'*Wop*opxx(idop,kk);
% Simodel
if par.Simodel == on
sxx = Sixx(1:nwet,:);
fxx(ju,jo) = fxx(ju, jo) + ...
sx(isil,ju).'*Ws*sx(isil,jo) + es.'*Ws*sxx(isil,kk);
end
% Cmodel
if par.Cmodel == on
icxx = Cxx(0*nwet+1 : 1*nwet, :) ;
ocxx = Cxx(2*nwet+1 : 3*nwet, :) + Cxx(5*nwet+1 : 6*nwet, :) + Cxx(6*nwet+1 : 7*nwet, :);
lkxx = Cxx(4*nwet+1 : 5*nwet, :) ;
fxx(ju,jo) = fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk) ;
end
% Omodel
if par.Omodel == on
oxx = Oxx(1:nwet,:);
fxx(ju,jo) = fxx(ju, jo) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
end
% make Hessian symetric;
fxx(jo, ju) = fxx(ju, jo);
end
end
kpp = kk;
% ----------------------------------------------------------------
% C model
if (par.Cmodel == on & par.Omodel == off & par.Simodel == off)
%
tmp = sparse(npx+ncx, npx+ncx);
tmp(1:npx,1:npx) = fxx;
fxx = tmp;
% -------------------------------
% P model parameters and C parameters
for ju = 1:npx
for jo = (npx+1):(npx+ncx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk) ;
fxx(jo,ju) = fxx(ju, jo);
end
end
% -------------------------------
% Only C parameters
for ju = (npx+1):(npx+ncx)
for jo = ju:(npx+ncx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk) ;
fxx(jo, ju) = fxx(ju, jo);
end
end
end
% ----------------------------------------------------------------
% C and O model
if (par.Cmodel == on & par.Omodel == on & par.Simodel == off)
%
tmp = sparse(npx+ncx+nox, npx+ncx+nox);
tmp(1:npx,1:npx) = fxx;
fxx = tmp;
% -------------------------------
% P and C model parameters
for ju = 1:npx
for jo = (npx+1):(npx+ncx)
kk = kk + 1;
fxx(ju, jo) = ...
fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% C model parameters
for ju = (npx+1):(npx+ncx)
for jo = ju:(npx+ncx)
kk = kk + 1;
fxx(ju, jo) = ...
fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% P and O model parameters
for ju = 1:npx
for jo = (npx+ncx+1):(npx+ncx+nox)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% C and O model parameters
for ju = (npx+1):(npx+ncx)
for jo = (npx+ncx+1):(npx+ncx+nox)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% O model parameters
for ju = (npx+ncx+1):(npx+ncx+nox)
for jo = ju:(npx+ncx+nox)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
ox(io2, ju).'*Wo*ox(io2, jo) + eo.'*Wo*oxx(io2, kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
end
% ----------------------------------------------------------------
% Si model on; Cmodel off; Omodel off;
if (par.Cmodel == off & par.Omodel == off & par.Simodel == on)
% --------------------------
tmp = sparse(npx+nsx, npx+nsx);
tmp(1:npx,1:npx) = fxx;
fxx = tmp;
% --------------------------
% P model parameters and Si parameters
for ju = 1:npx
for jo = (npx+1):(npx+nsx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
sx(isil,ju).'*Ws*sx(isil,jo) + es.'*Ws*sxx(isil,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -----------------------------
% Only Si parameters
for ju = (npx+1):(npx+nsx)
for jo = ju:(npx+nsx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
sx(isil,ju).'*Ws*sx(isil,jo) + es.'*Ws*sxx(isil,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
end
% ----------------------------------------------------------------
% Cmodel on; O model off; and Simodel on;
if (par.Cmodel == on & par.Omodel == off & par.Simodel == on)
%
tmp = sparse(npx+ncx+nsx, npx+ncx+nsx);
tmp(1:npx, 1:npx) = fxx;
fxx = tmp;
% -------------------------------
% P and C model parameters
for ju = 1:npx
for jo = (npx+1):(npx+ncx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk) ;
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% C model parameters
for ju = (npx+1):(npx+ncx)
for jo = ju:(npx+ncx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% P model parameters and Si parameters
kk = kpp; % starting fro P-P parameters
for ju = 1:npx
for jo = (npx+ncx+1):(npx+ncx+nsx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
sx(isil,ju).'*Ws*sx(isil,jo) + es.'*Ws*sxx(isil,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -----------------------------
% Only Si parameters
for ju = (npx+ncx+1):(npx+ncx+nsx)
for jo = ju:(npx+ncx+nsx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
sx(isil,ju).'*Ws*sx(isil,jo) + es.'*Ws*sxx(isil,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
end
% ----------------------------------------------------------------
% Cmodel on; O model on; and Simodel on;
if (par.Cmodel == on & par.Omodel == on & par.Simodel == on)
%
tmp = sparse(npx+ncx+nox+nsx, npx+ncx+nox+nsx);
tmp(1:npx, 1:npx) = fxx;
fxx = tmp;
% -------------------------------
% P and C model parameters
for ju = 1:npx
for jo = (npx+1):(npx+ncx)
kk = kk + 1;
fxx(ju, jo) = ...
fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% C model parameters
for ju = (npx+1):(npx+ncx)
for jo = ju:(npx+ncx)
kk = kk + 1;
fxx(ju, jo) = ...
fxx(ju, jo) + ...
icx(idic,ju).'*Wic*icx(idic,jo) + eic.'*Wic*icxx(idic,kk) + ...
ocx(idoc,ju).'*Woc*ocx(idoc,jo) + eoc.'*Woc*ocxx(idoc,kk) + ...
lkx(ialk,ju).'*Wlk*lkx(ialk,jo) + elk.'*Wlk*lkxx(ialk,kk) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% P and O model parameters
for ju = 1:npx
for jo = (npx+ncx+1):(npx+ncx+nox)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% C and O model parameters
for ju = (npx+1):(npx+ncx)
for jo = (npx+ncx+1):(npx+ncx+nox)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
ox(io2,ju).'*Wo*ox(io2,jo) + eo.'*Wo*oxx(io2,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -------------------------------
% O model parameters
for ju = (npx+ncx+1):(npx+ncx+nox)
for jo = ju:(npx+ncx+nox)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
ox(io2, ju).'*Wo*ox(io2, jo) + eo.'*Wo*oxx(io2, kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% --------------------------
% P model parameters and Si parameters
kk = kpp; % starting fro P-P parameters
for ju = 1:npx
for jo = (npx+ncx+nox+1):(npx+ncx+nox+nsx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
sx(isil,ju).'*Ws*sx(isil,jo) + es.'*Ws*sxx(isil,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
% -----------------------------
% Only Si parameters
for ju = (npx+ncx+nox+1):(npx+ncx+nox+nsx)
for jo = ju:(npx+ncx+nox+nsx)
kk = kk + 1;
fxx(ju, jo) = fxx(ju, jo) + ...
sx(isil,ju).'*Ws*sx(isil,jo) + es.'*Ws*sxx(isil,kk);
fxx(jo, ju) = fxx(ju, jo);
end
end
end
end
end