#! /bin/sh
######################################
##### Model Transformation Tools #####
######################################
# Bourne shell script: dae_r2m
# Reduce DAE to simulab DAE
# P.J.Gawthrop 14 June 1991, 12 Jan 1994, April 1994, Jan 95.
# Copyright (c) P.J.Gawthrop 1991, 1994, 1995, 1996
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.3 1996/08/16 13:10:53 peter
## Fixed bug Ny changed to Nx in redidual loop.
##
## Revision 1.2 1996/08/16 08:57:34 peter
## Reads $1_input.
##
## Revision 1.1 1996/08/15 16:46:06 peter
## Initial revision
##
###############################################################
# WARNING this is experimental!!
# It asumes that the output y is NOT dependent on derivatives of
# z or u.
#Inform user
echo Creating $1_dae.m
echo Creating $1_daeo.m
# Remove the old log file
rm -f dae_r2m.log
# Use reduce to accomplish the transformation
reduce >dae_r2m.log << EOF
%Read the reduce definitions file
in "$1_def.r";
%Read the reduce DAE file
in "$1_dae.r";
%Set up the number of argument variables to zero in case the user has forgotten
MTTNVar := 0;
%Read the parameter file
in "$1_sympar.r";
ON NERO; % Suppress zero elements
%Define the common part of the functions.
PROCEDURE common;
BEGIN
IF MTTNvar>0 THEN
BEGIN
write "% Read in the parameters";
write "[ ...;;";
FOR i := 1:MTTNvar DO
BEGIN
IF i<MTTNvar THEN write MTTVar(i,1), ",..."
ELSE write MTTVar(i,1), "] = $1_numpar"
END;
END;
write "% Read in the input";
write "u = $1_input(t)";
write "% Read in the arguments";
write "$1_args";
write "% Set up the State variables";
FOR i := 1:MTTNx DO
BEGIN
write "MTTx", i, " = MTTx(", i, ");";
END;
write "% Set up the non-state variables";
FOR i := 1:MTTNz DO
BEGIN
write "MTTz", i, " = MTTx(", MTTNx+ i, ");";
END;
write "% Set up the internal inputs";
FOR i := 1:MTTNz DO
BEGIN
write "MTTui", i, " = MTTx(", MTTNx+MTTz+i, ");";
END;
write "% Set up the Input variables";
IF MTTNu>0 THEN
FOR i := 1:MTTNu DO
BEGIN
write "MTTu", i, " = u(", i, ");";
END;
END;
% Firstly do the residual = f(dx,x,t) function.
%MTTGx and u are the derivatives of z wrt x and u respectively
% Find MTTGx;
matrix MTTGx(MTTNz,MTTNx);
FOR j := 1:MTTNx DO
BEGIN
xj := MTTX(j,1);
FOR i := 1:MTTNz DO
MTTGx(i,j) := df(MTTZ(i,1), xj, 1);
END;
% Find MTTGu;
matrix MTTGu(MTTNz,MTTNu);
FOR j := 1:MTTNu DO
BEGIN
uj := MTTu(j,1);
FOR i := 1:MTTNz DO
MTTGu(i,j) := df(MTTZ(i,1), uj, 1);
END;
OUT "$1_dae.m";
write "function residual = $1_dae(MTTdX0,MTTx,t);";
write "% residuals = $1_dae(dx,x,t);";
write "%DAE in DASSL $1;;";
write "%File $1_dae.m;;";
write "%Generated by MTT;;";
common();
write "% Set up the non-state derivatives";
FOR i := 1:MTTNz DO
BEGIN
write "MTTdz", i, " = MTTdx0(", MTTNx+ i, ");";
END;
%Fortran switches - one line expressions
OFF echo;
ON fort$
cardno!* := 1$
fortwidth!* := 100$
OFF period$
MTTdx := MTTdx;
MTTGx := MTTGx;
OFF fort;
write "for i=1:", MTTNx, ";;";
write " residual(i) = MTTdX(i)-MTTdX0(i);";
write "end;";
IF MTTNz>0 THEN
BEGIN
write "dxz = MTTGx*MTTdx";
write "for i=1:", MTTNz, ";;";
write " residual(i+", MTTNx, ") = dxz(i)-MTTdX0(i+", MTTNx,");";
write "end;";
END;
SHUT "$1_dae.m";
OFF fort;
% Now do the y = g(x,t) function.
OUT "$1_daeo.m";
write "function MTTy = $1_daeo(MTTx,t);";
write "% dX = $1_daeo(MTTx,t);";
write "%DAE in Simulab form for system $1;;";
write "%File $1_daeo.m;;";
write "%Generated by MTT;;";
common();
%Fortran switches - one line expressions
OFF echo;
ON fort$
cardno!* := 1$
fortwidth!* := 100$
OFF period$
MTTy := MTTy;
SHUT "$1_daeo.m";