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# Copyright (c) P.J.Gawthrop, 1996.
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.17 1998/06/27 14:49:16 peterg
## No change
##
## Revision 1.16 1998/06/25 08:47:23 peterg
## Put correct arguments for _input -- (x,t)
##
## Revision 1.15 1998/05/21 16:20:27 peterg
## Modified to include explicit algebraic loop solution
##
## Revision 1.14 1998/05/19 19:48:02 peterg
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X=[];
dt = (T(2)-T(1))/STEPFACTOR;
for t=T'
X = [X; xx'];
ts = t;
for i=1:STEPFACTOR
x = xx(1:nx);
u = $1_input(xx,ts);
xx = $1_ode(xx,ts);
xx = $1_ode(xx,u,ts);
ts = ts + dt;
dx = xx(1:nx);
x = x + dx*dt;
xx(1:nx) = x;
end;
end;
elseif strcmp(method,'implicitl')
%Euler integration
X=[];
dt = (T(2)-T(1))/STEPFACTOR;
u = $1_input(x,t);
A = $1_sm(x,u);
u = $1_input(x,u,t);
A = $1_smx(x,u);
inverse = inv(eye(nx) - dt*A);
for t=T'
X = [X; xx'];
ts = t;
u = $1_input(x,t);
for i=1:STEPFACTOR
x = xx(1:nx);
xx = $1_ode(xx,ts);
xx = $1_ode(xx,u,ts);
ts = ts + dt;
dx = xx(1:nx);
x = inverse*(x + dt*(dx - A*x));
xx(1:nx) = x;
end;
end;
elseif strcmp(method,'implicit')
%Euler integration
X=[];
dt = (T(2)-T(1))/STEPFACTOR;
One = eye(nx);
for t=T'
X = [X; xx'];
ts = t;
for i=1:STEPFACTOR
x = xx(1:nx);
u = $1_input(x,t);
A = $1_sm(x,u);
xx = $1_ode(xx,ts);
A = $1_smx(x,u);
xx = $1_ode(xx,u,ts);
ts = ts + dt;
dx = xx(1:nx);
x = (One-A*dt)\(x + dt*(dx - A*x));
xx(1:nx) = x;
end;
end;
else
error('Method %s not available here', METHOD);
return;
end;
write_matrix([T,X], '$1_odes');
else
X = zeros(size(T));
end;
if ny>0 % compute y and print it
i = 0; Y=[];
for t=T'
i = i+1; X(i,:);
u = $1_input(x,t);
y = $1_odeo(X(i,:)',t);
y = $1_odeo(X(i,:)',u,t);
Y = [Y; y'];
end;
write_matrix([T,Y], '$1_odeso');
end;
EOF
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