#! /bin/sh
######################################
##### Model Transformation Tools #####
######################################
# Bourne shell script: mtt_r2m
# Reduce to octave conversion
# Based on obsolete ode_r2m and ode_r2lang
# P.J.Gawthrop 14 June 1991, 12 Jan 1994, April 1994, Jan 95, May 1998
# July 1998
# Copyright (c) P.J.Gawthrop 1991, 1994, 1995, 1996, 1998
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
###############################################################
# Set up the language specific stuff
rep=$2
ext='m';
codegenerator='PASCAL'
Lc='#';
Rc='#';
Lb='(';
Rb=')';
outfile=$1"_"$rep.$ext
rm -f $outfile.*
#Set up gentran
cat <<EOF >mtt_setreduce.r
% Set up the code generator
% Load the general translator package
LOAD GENTRAN;
GENTRANLANG!* := '$codegenerator;
ON GENTRANSEG;
MAXEXPPRINTLEN!* := 80;
TEMPVARNUM!* := 1;
TEMPVARNAME!* := 'mtt_temp;
% Matrix output function
in"$MTTPATH/trans/lang_matrix.r";
%Read the reduce definitions file
in "$1_def.r";
%Read the reduce $REP file
in "$1_$rep.r";
%Read the parameter file
in "$1_sympar.r";
EOF
#Inform user
echo Creating $outfile
# Remove the old log file
rm -f mtt_r2lang.log
#Remove the temporary files
rm -f $1_$rep.$ext.1
#Header
lang_header $1 $rep $ext 'mttx,mttu,t' mttdx > $1_$rep.$ext
if [ "$rep" = "ode" ]; then
echo Creating $1_odea.$ext
echo Creating $1_odeo.$ext
rm -f $1_odeo.$ext.1;
rm -f $1_odea.$ext.1;
#Header
lang_header $1 $rep $ext 'mttx,mttu,t' mttdx > $1_$rep.$ext
# Use reduce to accomplish the transformation
$SYMBOLIC >mtt_r2lang.log << EOF
%Set up the code generator
in"mtt_setreduce.r";
% The body of the ode function
GENTRANOUT "$1_ode.$ext.1";
mtt_matrix := MTTdX$
mtt_matrix_n := MTTNx$
mtt_matrix_m := 1$
mtt_matrix_name := 'MTTdX$
lang_matrix();
GENTRANSHUT "$1_ode.$ext.1";
% The algebraic equations (if any)
GENTRANOUT "$1_odea.$ext.1";
mtt_matrix := MTTYz$
mtt_matrix_n := MTTNYz$
mtt_matrix_m := 1$
mtt_matrix_name := MTTYz$
lang_matrix();
GENTRANSHUT "$1_odea.$ext.1";
% Now do the y = g(x,t) function.
% The body of the odeo function
GENTRANOUT "$1_odeo.$ext.1";
mtt_matrix := MTTy$
mtt_matrix_n := MTTNy$
mtt_matrix_m := 1$
mtt_matrix_name := MTTy$
lang_matrix();
GENTRANSHUT "$1_odeo.$ext.1";
EOF
# Algebraic bits
$MATRIX -q <<EOF >> $1_ode.$ext
%System structure
[nx,ny,nu,nz,nyz] = $1_def;
if nyz>0
printf("global mttxx mttt;\n");
printf("mttxx = mttx; mttt=t;\n");
printf("$Lc====== Extract the internal input variables ======$Rc\n");
for i = 1:nyz
printf(" mttui$Lb%i$Rb = mttx$Lb%i$Rb;\n",i,i+nx);
end;
printf("\n");
printf("[mttui,info] = fsolve('$1_odea',mttui);\n");
printf("if (info!=1)\n");
printf(" error('fsolve has not converged')\n");
printf("end\n");
printf("\n");
printf("$Lc====== Set up the internal input variables ======$Rc\n");
for i = 1:nyz
printf(" mttui%i = mttui$Lb%i$Rb;\n",i,i);
end;
printf("\n");
printf("$Lc====== Put internal input variables at end of state derivative ======$Rc\n");
for i = 1:nyz
printf(" mttdx$Lb%i$Rb = mttui%i;\n",i+nx,i);
end;
printf("\n");
end;
EOF
cat <<EOF >> $outfile.O
$Lc The differential equations $Rc
EOF
sed 's/mtt_matrix/mttdx/' $1_ode.$ext.1 >> $1_ode.$ext
# Create the odea.$ext function
lang_header $1 odea $ext 'mttui' mttyz 'global mttxx mttt; mttx = mttxx; t=mttt;' > $1_odea.$ext
$MATRIX -q <<EOF >> $1_odea.$ext
%System structure
[nx,ny,nu,nz,nyz] = $1_def;
if nyz>0
printf("$Lc====== Set up the internal input variables ======$Rc\n");
for i = 1:nyz
printf(" mttui%i = mttui$Lb%i$Rb;\n",i,i);
end;
printf("\n");
end;
EOF
cat <<EOF >> $1_odea.$ext
% The algebraic equations
EOF
sed 's/mtt_matrix/mttyz/' $1_odea.$ext.1 >> $1_odea.$ext
# Create the odeo.$ext function
lang_header $1 odeo $ext 'mttx,mttu,t' mtty > $1_odeo.$ext
$MATRIX -q <<EOF >> $1_odeo.$ext
%System structure
[nx,ny,nu,nz,nyz] = $1_def;
if nyz>0
printf("$Lc====== Extract the internal input variables ======$Rc\n");
for i = 1:nyz
printf(" mttui$Lb%i$Rb = mttx$Lb%i$Rb;\n",i,i+nx);
end;
printf("\n");
printf("$Lc====== Set up the internal input variables ======$Rc\n");
for i = 1:nyz
printf(" mttui%i = mttui$Lb%i$Rb;\n",i,i);
end;
printf("\n");
end;
EOF
cat <<EOF >> $1_odeo.$ext
% The output equations
EOF
sed 's/mtt_matrix/mtty/' $1_odeo.$ext.1 >> $1_odeo.$ext
# Convert from Pascal syntax to Octave syntax
mv $1_odeo.m mtt_junk; mtt_p2m<mtt_junk > $1_odeo.m
mv $1_odea.m mtt_junk; mtt_p2m<mtt_junk > $1_odea.m
fi
if [ "$rep" = "sm" ]; then
#Header
lang_header $1 $rep $ext 'mttx,mttu' [mtta,mttb,mttc,mttd] > $1_$rep.$ext
Symbols='a b c d'
for Symbol in $Symbols; do
rm -f $outfile.1
case $Symbol in
a)
N=MTTNx; M=MTTNx
;;
b)
N=MTTNx; M=MTTNu
;;
c)
N=MTTNy; M=MTTNx
;;
d)
N=MTTNy; M=MTTNu
;;
*)
esac
$SYMBOLIC << EOF >mtt_r2m.log
%Set up the code generator
in"mtt_setreduce.r";
out "$outfile.2";
write "mtt$Symbol = zeros(", $N, ",", $M, ");";
shut "$outfile.2";
GENTRANOUT "$outfile.1";
mtt_matrix := MTT$Symbol;
mtt_matrix_n := $N;
mtt_matrix_m := $M;
lang_matrix();
GENTRANSHUT "$outfile.1";
EOF
echo "% $Symbol matrix" >$outfile.$Symbol
cat "$outfile.2" >> $outfile.$Symbol
sed "s/mtt_matrix/mtt$Symbol/" < $outfile.1 |\
grep -v '=0\.0;' >> $outfile.$Symbol
done
rm -f $outfile.[12]
fi
# Convert from Pascal syntax to Octave syntax
cat $outfile.? | mtt_p2m >> $outfile
rm -f $outfile.?