#! /bin/sh
######################################
##### Model Transformation Tools #####
######################################
# Bourne shell script: dae_r2m
# Reduce DAE to OCTAVE (DASSL) DAE
# P.J.Gawthrop 14 June 1991, 12 Jan 1994, April 1994, Jan 95, Aug 97.
# Copyright (c) P.J.Gawthrop 1991, 1994, 1995, 1996
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.7 1998/05/13 16:43:03 peterg
## Now uses matlab_matrix to write the matrices
## Various bug fixes
## New global generation method
##
# Revision 1.6 1997/08/28 14:07:16 peterg
# Changed MTTDx to MTTDeriv
#
# Revision 1.5 1996/08/24 14:27:29 peter
# Global parameters.
#
## Revision 1.4 1996/08/18 20:02:21 peter
## Include zero outputs.
##
## 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
# Remove temp. files
rm -f $1_dae.m?
rm -f $1_daeo.m?
# Use reduce to accomplish the transformation
$SYMBOLIC >dae_r2m.log << EOF
%Read the reduce definitions file
in "$1_def.r";
%Read the reduce DAE file
in "$1_dae.r";
% Matrix output function
in"$MTTPATH/trans/matlab_matrix.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
write "% Read in the input";
write "u = $1_input(x,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 non-state derivatives";
FOR i := 1:MTTNz DO
BEGIN
write "mttdz", i, " = mttx(", MTTNx+MTTNz+ i, ");";
END;
write "% Set up the internal inputs";
FOR i := 1:MTTNyz DO
BEGIN
write "mttui", i, " = mttx(", MTTNx+2*MTTNz+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;
if MTTNz>0 THEN
BEGIN
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;
END;
IF MTTNz=0 THEN
BEGIN
MTTGx := 0;
MTTGu := 0;
MTTz := 0;
END;
OUT "$1_dae.m1";
write "function residual = $1_dae(mttx,deriv0,t);";
write "% residuals = $1_dae(dx,x,t);";
write "%DAE in DASSL $1;;";
write "%File $1_dae.m;;";
write "%Generated by MTT;;";
common();
SHUT "$1_dae.m1";
GENTRANOUT "$1_dae.m3";
write "% State derivative";
IF MTTNX>0 THEN
BEGIN
MTT_Matrix := MTTdX$
MTT_Matrix_name := "deriv"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := 1$
matlab_Matrix()$
GENTRAN deriv := mtt_matrix$
END;
IF MTTNYz>0 THEN
BEGIN
MTT_Matrix := MTTYz$
MTT_Matrix_name := "MTTYz"$
MTT_Matrix_n := MTTNYz$
MTT_Matrix_m := 1$
matlab_Matrix()$
GENTRAN MTTYz := mtt_matrix$
END;
if MTTNz>0 THEN
BEGIN
MTT_Matrix := MTTz$
MTT_Matrix_name := "MTTz"$
MTT_Matrix_n := MTTNz$
MTT_Matrix_m := 1$
matlab_Matrix()$
GENTRAN MTTz := mtt_matrix$
MTT_Matrix := MTTGu$
MTT_Matrix_name := "MTTGu"$
MTT_Matrix_n := MTTNz$
MTT_Matrix_m := 1$
matlab_Matrix()$
GENTRAN MTTGu := mtt_matrix$
MTT_Matrix := MTTGu$
MTT_Matrix_name := "MTTGx"$
MTT_Matrix_n := MTTNz$
MTT_Matrix_m := 1$
matlab_Matrix()$
GENTRAN MTTGx := mtt_matrix$
END;
SHUT "$1_dae.m3";
OUT "$1_dae.m4";
% write "% Set up the non-state derivatives";
% FOR i := 1:MTTNz DO
% write "mttdz", i, " = mttderiv0(", MTTNx+ i, ");";
% END;
write "j = 0;";
%Residual has 3 parts as follows:
%Part 1: dx/dt - dx_0/dt
if MTTNx>0 THEN
BEGIN
write "for i=1:", MTTNx, ";;";
write " j = j+1";
write " residual(j) = deriv(i)-deriv0(j);";
write "end;";
END;
%Part 2: dz/dt - dz_0/dt
IF MTTNz>0 THEN
BEGIN
if MTTNx>0 THEN
write "mttdzx = mttgx*mttdx"
ELSE
write "mttdzx = zeros(", MTTNz, ",1);";
if MTTNu>0 THEN
write "mttdzu = mttgu*mttdu"
ELSE
write "mttdzu = zeros(", MTTNz, ",1);";
write "mttdz = mttdzx + mttdzu";
write "for i=1:", MTTNz, ";;";
write " j = j+1";
write " residual(j) = mttdz(i)-mttderiv0(j);";
write "end;";
END;
%Part 3: v=0 (the algebraic bits)
IF MTTNyz>0 THEN
BEGIN
write "for i=1:", MTTNyz, ";;";
write " j = j+1";
write " residual(j) = mttyz(i)";
write "end;";
END;
SHUT "$1_dae.m4";
% Now do the y = g(x,t) function.
OUT "$1_daeo.m1";
write "function mtty = $1_daeo(mttx,t);";
write "% mtty = $1_daeo(mttx,t);";
write "%DAE in Simulab form for system $1;;";
write "%File $1_daeo.m;;";
write "%Generated by MTT;;";
SHUT "$1_daeo.m1";
OUT "$1_daeo.m3";
common();
%Fortran switches - one line expressions
OFF echo;
ON fort$
cardno!* := 1$
fortwidth!* := 500$
OFF period$
MTTy := MTTy;
SHUT "$1_daeo.m3";
EOF
# Create the globals
sympar2global_txt2m $1> $1_dae.m2
sympar2global_txt2m $1> $1_daeo.m2
# Put together the pieces
cat $1_dae.m?>$1_dae.m
cat $1_daeo.m?>$1_daeo.m