#! /bin/sh
######################################
##### Model Transformation Tools #####
######################################
# Bourne shell script: ode2odes_m
# Transforms descriptor matrix rep to step response
# Copyright (c) P.J.Gawthrop, 1996.
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## 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
## Read the simpar file now.
##
## Revision 1.13 1998/05/14 08:05:10 peterg
## Put back under RCS
##
## Revision 1.12 1998/02/25 18:02:39 peterg
## Removed the argument passing stuff .
## Replaced by the simpar.m method.
##
## Revision 1.11 1997/08/29 07:56:54 peterg
## Minor updates
##
# Revision 1.10 1997/01/07 09:16:03 peterg
# Added step_factor parameter - gives that number of integration steps
# per sample.
#
## Revision 1.9 1997/01/06 21:36:44 peterg
## Fixed bug mtt_error --> mtt_error.txt
## Replaced lsode by Euler integration.
##
## Revision 1.8 1996/09/13 17:54:08 peter
## Now writes default $PARAMS to $1_args.m - $1_ode may use it.
##
## Revision 1.7 1996/09/12 18:41:48 peter
## Standard error handling added.
##
## Revision 1.6 1996/08/24 14:11:04 peter
## Global parameter passing.
##
## Revision 1.5 1996/08/18 12:01:26 peter
## Unified format of time responses.
##
## Revision 1.4 1996/08/16 13:04:46 peter
## Fixed problem with more than one output (y vector).
##
## Revision 1.3 1996/08/16 06:36:03 peter
## Removed u from default arg list.
##
## Revision 1.2 1996/08/15 16:24:43 peter
## Uses T in place of t to avoid name clash within function.
##
## Revision 1.1 1996/08/15 11:56:38 peter
## Initial revision
##
###############################################################
echo Creating $1_odes.m
echo Creating $1_odeso.m
rm -f ode2odes_m.log
rm -f mtt_error.txt
#if [ "$2" = "" ];
#then
# PARAMS='T=[0:0.1:10]; x0=zeros(nx,1);'
# echo Using default parameter $PARAMS
# echo $PARAMS>$1_args.m
#else
# PARAMS=$2;
#fi
# PARAMS="$PARAMS ;"
$MATRIX << EOF > ode2odes_m.log 2>mtt_error.txt
%System structure
[nx,ny,nu,nz,nyz] = $1_def;
%Read in parameters
$1_numpar;
%Read in state
x = $1_state;
%Set the initial output
%if ny>0
% y = $1_odeo(x,0);
%end;
%Read in simulation parameters
$1_simpar;
T = [0:DT:LAST];
t=0; %Just in case it appears in the parameter list.
%Defaults
if exist('T')==0
T=[0:1:100]
end;
if exist('METHOD')==0
METHOD = 'Euler'
end;
if exist('x')==0
x = zeros(nx,1);
end;
% xx is the composite vector containing x and the internal inputs.
xx = [x; zeros(nyz,1)];
[n,m]=size(T);
if m>n
T=T';
end;
method = tolower(METHOD)
if nx>0
if strcmp(method,'lsode')
X = lsode('$1_ode', x, T);
elseif strcmp(method,'euler')
%Euler integration
X=[];
dt = (T(2)-T(1))/STEPFACTOR;
for t=T'
X = [X; xx'];
ts = t;
for i=1:STEPFACTOR
x = xx(1:nx);
xx = $1_ode(xx,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);
inverse = inv(eye(nx) - dt*A);
for t=T'
X = [X; xx'];
ts = t;
for i=1:STEPFACTOR
x = xx(1:nx);
xx = $1_ode(xx,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);
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,:)
y = $1_odeo(X(i,:),t);
Y = [Y; y'];
end;
write_matrix([T,Y], '$1_odeso');
end;
EOF
# Now invoke the standard error handling.
mtt_error mtt_error.txt