Overview
Comment:Rationalised local and global optimisations.
Fixes presentation of locally optimised code (ode view).
Much more elegant :-)
Downloads: Tarball | ZIP archive | SQL archive
Timelines: family | ancestors | descendants | both | origin/global-optimisation | trunk
Files: files | file ages | folders
SHA3-256: e5dbca659dd3ebdbe95b963e8e37c118c934c4f07dc50ad56a49892f3b9f7377
User & Date: geraint@users.sourceforge.net on 2002-09-10 23:24:19
Other Links: branch diff | manifest | tags
Context
2002-09-12
18:50:50
Uncommented cse optimisations - they seem to work ok. check-in: 18ad62cef3 user: geraint@users.sourceforge.net tags: origin/global-optimisation, trunk
2002-09-10
23:24:19
Rationalised local and global optimisations.
Fixes presentation of locally optimised code (ode view).
Much more elegant :-) check-in: e5dbca659d user: geraint@users.sourceforge.net tags: origin/global-optimisation, trunk
22:09:14
Fixed presentation of globally optimised equations (ode view). check-in: 9b1fb2c9a9 user: geraint@users.sourceforge.net tags: origin/global-optimisation, trunk
Changes
Hide Diffs Unified Diffs Ignore Whitespace Patch

Modified mttroot/mtt/bin/trans/cse2ode_r from [70c1f00663] to [5f6e4ff143].

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# Copyright (c) P.J.Gawthrop, 1991, 1994.

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$



## Revision 1.3  2001/07/27 23:29:10  geraint
## Optimises only when requested (-opt).
##
## Revision 1.2  2001/07/13 04:54:04  geraint
## Branch merge: numerical-algebraic-solution back to main.
##
## Revision 1.1.4.1  2001/05/04 04:07:24  geraint








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# Copyright (c) P.J.Gawthrop, 1991, 1994.

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.3.4.1  2002/09/03 23:44:43  geraint
## adding global optimisation (-optg).
##
## Revision 1.3  2001/07/27 23:29:10  geraint
## Optimises only when requested (-opt).
##
## Revision 1.2  2001/07/13 04:54:04  geraint
## Branch merge: numerical-algebraic-solution back to main.
##
## Revision 1.1.4.1  2001/05/04 04:07:24  geraint
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	*)
	    echo "$1 is an invalid argument - ignoring" ;;
    esac
    shift
done

# Create the reduce output code
def2write_r $optimise $1 ode
def2write_r $optimise $1 odeo

#Inform user
echo Creating $1_ode.r $optimise_msg
echo Creating $1_odeo.r $optimise_msg

# Remove the old log file
rm -f cse2ode_r.log








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	*)
	    echo "$1 is an invalid argument - ignoring" ;;
    esac
    shift
done

# Create the reduce output code
def2write_r $1 ode
def2write_r $1 odeo

#Inform user
echo Creating $1_ode.r $optimise_msg
echo Creating $1_odeo.r $optimise_msg

# Remove the old log file
rm -f cse2ode_r.log
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in ("$1_odeo_write.r");
write "END;";
SHUT "$1_odeo.r";
quit;
EOF

if [ ${optimise:-""} = "-optimise_global" ]; then
    mtt_optimise_global $1 ode
    mtt_optimise_global $1 odeo



fi

# Now invoke the standard error handling.
mtt_error_r cse2ode_r.log








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in ("$1_odeo_write.r");
write "END;";
SHUT "$1_odeo.r";
quit;
EOF

if [ ${optimise:-""} = "-optimise_global" ]; then
    mtt_optimise global $1 ode
    mtt_optimise global $1 odeo
elif [ ${optimise:-""} = "-optimise_local" ]; then
    mtt_optimise local $1 ode
    mtt_optimise local $1 odeo
fi

# Now invoke the standard error handling.
mtt_error_r cse2ode_r.log

Modified mttroot/mtt/bin/trans/csm2sm_r from [9197d41677] to [2241332550].

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# Copyright (c) P.J.Gawthrop, 1991, 1994, 1996

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$



## Revision 1.2  2001/07/27 23:29:10  geraint
## Optimises only when requested (-opt).
##
## Revision 1.1  2000/12/28 12:24:03  peterg
## Put under RCS
##
## Revision 1.2  1996/08/25 10:11:32  peter








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# Copyright (c) P.J.Gawthrop, 1991, 1994, 1996

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.2.4.1  2002/09/03 23:44:43  geraint
## adding global optimisation (-optg).
##
## Revision 1.2  2001/07/27 23:29:10  geraint
## Optimises only when requested (-opt).
##
## Revision 1.1  2000/12/28 12:24:03  peterg
## Put under RCS
##
## Revision 1.2  1996/08/25 10:11:32  peter
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	* )
	    echo "$1 is an invalid argument - ignoring" ;;
    esac
    shift
done

# Create the reduce output code
def2write_r $optimise $1 $2

# Inform user
echo Creating $1_$2.r $optimise_msg

case $2 in
    sm)
        rep=csm;








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	* )
	    echo "$1 is an invalid argument - ignoring" ;;
    esac
    shift
done

# Create the reduce output code
def2write_r $1 $2

# Inform user
echo Creating $1_$2.r $optimise_msg

case $2 in
    sm)
        rep=csm;
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quit;

EOF

cat $1_$2.r1 $1_$2.r2 > $1_$2.r

if [ ${optimise:-""} = "-optimise_global" ]; then


    mtt_optimise_global $1 $2
fi

# Now invoke the standard error handling.
mtt_error_r csm2sm_r.log








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quit;

EOF

cat $1_$2.r1 $1_$2.r2 > $1_$2.r

if [ ${optimise:-""} = "-optimise_global" ]; then
    mtt_optimise global $1 $2
elif [ ${optimise:-""} = "-optimise_local" ]; then
    mtt_optimise local $1 $2
fi

# Now invoke the standard error handling.
mtt_error_r csm2sm_r.log

Modified mttroot/mtt/bin/trans/dae2cse_r from [4b9ab23fb1] to [a205b54e0b].

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# Copyright (c) P.J.Gawthrop 1991, 1992, 1994.

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$



## Revision 1.23  2002/07/10 17:43:05  geraint
## Added feature [ 562453 ] Optimisation of algebraic equations.
##
## Revision 1.22  2002/06/28 15:35:47  geraint
## Commented out aej.r generation (not used yet).
##
## Revision 1.21  2002/06/28 10:13:40  geraint








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# Copyright (c) P.J.Gawthrop 1991, 1992, 1994.

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.23.2.1  2002/09/03 23:44:43  geraint
## adding global optimisation (-optg).
##
## Revision 1.23  2002/07/10 17:43:05  geraint
## Added feature [ 562453 ] Optimisation of algebraic equations.
##
## Revision 1.22  2002/06/28 15:35:47  geraint
## Commented out aej.r generation (not used yet).
##
## Revision 1.21  2002/06/28 10:13:40  geraint
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        *)
                echo "$1 is an invalid argument - ignoring" ;;
  esac
  shift
done

# Create the reduce output code
def2write_r $optimise $fixcc $1 ae 
def2write_r $optimise $fixcc $1 cse 
def2write_r $optimise $fixcc $1 csex # Version without E matrix
def2write_r $optimise $fixcc $1 cseo

echo "Creating $1_ae.r $optimise_msg"
echo "Creating $1_cse.r $solve_msg $optimise_msg $fix_msg"
echo "Creating $1_csex.r $optimise_msg"
echo "Creating $1_cseo.r $optimise_msg"

# Remove the old log file








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        *)
                echo "$1 is an invalid argument - ignoring" ;;
  esac
  shift
done

# Create the reduce output code
def2write_r $fixcc $1 ae 
def2write_r $fixcc $1 cse 
def2write_r $fixcc $1 csex # Version without E matrix
def2write_r $fixcc $1 cseo

echo "Creating $1_ae.r $optimise_msg"
echo "Creating $1_cse.r $solve_msg $optimise_msg $fix_msg"
echo "Creating $1_csex.r $optimise_msg"
echo "Creating $1_cseo.r $optimise_msg"

# Remove the old log file
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touch $1_cseo.r2
cat $1_ae.r1 $1_ae.r2 > $1_ae.r
cat $1_cse.r1 $1_cse.r2  > $1_cse.r
cat $1_csex.r1 $1_csex.r2  > $1_csex.r
cat $1_cseo.r1 $1_cseo.r2  > $1_cseo.r

if [ ${optimise:-""} = "-optimise_global" ]; then





    mtt_optimise_global $1 ae
# TODO:    mtt_optimise_global $1 cse
# TODO:    mtt_optimise_global $1 cseo
# TODO:    mtt_optimise_global $1 csex
fi

if [ "$solve" = "1" ]; then
    echo "Setting MTTNyz=0 in $1_def.r and updating other $1_def files"
    gawk '{
     if ($1=="MTTNyz") 
       print "MTTNyz := 0;" 








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touch $1_cseo.r2
cat $1_ae.r1 $1_ae.r2 > $1_ae.r
cat $1_cse.r1 $1_cse.r2  > $1_cse.r
cat $1_csex.r1 $1_csex.r2  > $1_csex.r
cat $1_cseo.r1 $1_cseo.r2  > $1_cseo.r

if [ ${optimise:-""} = "-optimise_global" ]; then
    mtt_optimise global $1 ae
# TODO:    mtt_optimise global $1 cse
# TODO:    mtt_optimise global $1 cseo
# TODO:    mtt_optimise global $1 csex
elif [ ${optimise:-""} = "-optimise_local" ]; then
    mtt_optimise local $1 ae
# TODO:    mtt_optimise local $1 cse
# TODO:    mtt_optimise local $1 cseo
# TODO:    mtt_optimise local $1 csex
fi

if [ "$solve" = "1" ]; then
    echo "Setting MTTNyz=0 in $1_def.r and updating other $1_def files"
    gawk '{
     if ($1=="MTTNyz") 
       print "MTTNyz := 0;"
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Modified mttroot/mtt/bin/trans/dae2lde_r from [23baf7d704] to [e4375dbdcc].

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# Copyright (C) 2000 by Peter J. Gawthrop

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$



## Revision 1.2  2001/07/27 23:29:10  geraint
## Optimises only when requested (-opt).
##
## Revision 1.1  2000/12/28 12:25:13  peterg
## Initial revision
##
###############################################################








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# Copyright (C) 2000 by Peter J. Gawthrop

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.2.4.1  2002/09/03 23:44:43  geraint
## adding global optimisation (-optg).
##
## Revision 1.2  2001/07/27 23:29:10  geraint
## Optimises only when requested (-opt).
##
## Revision 1.1  2000/12/28 12:25:13  peterg
## Initial revision
##
###############################################################
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	*)
	    echo "$1 is an invalid argument - ignoring" ;;
    esac
    shift
done

# Create the reduce output code
def2write_r $optimise $1 lde
def2write_r $optimise $1 ldeo

#Inform user
echo Creating $1_lde.r $optimise_msg
echo Creating $1_ldeo.r $optimise_msg

# Remove the old log file
rm -f cse2lde_r.log








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	*)
	    echo "$1 is an invalid argument - ignoring" ;;
    esac
    shift
done

# Create the reduce output code
def2write_r $1 lde
def2write_r $1 ldeo

#Inform user
echo Creating $1_lde.r $optimise_msg
echo Creating $1_ldeo.r $optimise_msg

# Remove the old log file
rm -f cse2lde_r.log
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in ("$1_ldeo_write.r");
write "END;";
SHUT "$1_ldeo.r";
quit;
EOF

if [ ${optimise:-""} = "-optimise_global" ]; then



# TODO:    global_optimise $1 lde
# TODO:    global_optimise $1 ldeo
fi

# Now invoke the standard error handling.
mtt_error_r cse2lde_r.log
















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in ("$1_ldeo_write.r");
write "END;";
SHUT "$1_ldeo.r";
quit;
EOF

if [ ${optimise:-""} = "-optimise_global" ]; then
# TODO:    mtt_optimise global $1 lde
# TODO:    mtt_optimise global $1 ldeo
elif [ ${optimise:-""} = "-optimise_local" ]; then
# TODO:    mtt_optimise local $1 lde
# TODO:    mtt_optimise local $1 ldeo
fi

# Now invoke the standard error handling.
mtt_error_r cse2lde_r.log

Modified mttroot/mtt/bin/trans/def2write_r from [f2349eb5aa] to [3eb9390062].

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# Copyright (C) 2000 by Peter J. Gawthrop

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$



## Revision 1.16.2.1  2002/09/03 23:44:43  geraint
## adding global optimisation (-optg).
##
## Revision 1.16  2002/09/03 19:34:15  geraint
## Write EdX regardless - csex is needed to create ode when not optimised.
##
## Revision 1.15  2002/08/29 15:45:20  geraint








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# Copyright (C) 2000 by Peter J. Gawthrop

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.16.2.2  2002/09/10 22:09:14  geraint
## Fixed presentation of globally optimised equations (ode view).
##
## Revision 1.16.2.1  2002/09/03 23:44:43  geraint
## adding global optimisation (-optg).
##
## Revision 1.16  2002/09/03 19:34:15  geraint
## Write EdX regardless - csex is needed to create ode when not optimised.
##
## Revision 1.15  2002/08/29 15:45:20  geraint
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## Initial revision
##
###############################################################

optimise=''
while [ -n "`echo $1 | grep '^-'`" ]; do
    case $1 in
	-optimise_global )
	    opt=''
	    optimise_msg='' ;;
	-optimise_local )
	    opt='-optimise_local'
	    optimise_msg=' with local optimisation' ;;
	-fixcc )
	    include=`echo 'in "'$MTT_LIB'/reduce/fix_c.r";'` ;;
	*)
	    echo "$1 is an invalid argument - ignoring" ;;
    esac
    shift
done

sys=$1 # System name
rep=$2 # System representation

# Inform User
echo Creating $1_$2_write.r $optimise_msg

# Find system constants
Nx=`mtt_getsize $sys x` # States
Nxx=`mtt_getsize $sys xx` # States x States
Nu=`mtt_getsize $sys u` # Inputs 
Ny=`mtt_getsize $sys y` # Outputs 
Nyz=`mtt_getsize $sys yz` # Zero outputs








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## Initial revision
##
###############################################################

optimise=''
while [ -n "`echo $1 | grep '^-'`" ]; do
    case $1 in






	-fixcc )
	    include=`echo 'in "'$MTT_LIB'/reduce/fix_c.r";'` ;;
	*)
	    echo "$1 is an invalid argument - ignoring" ;;
    esac
    shift
done

sys=$1 # System name
rep=$2 # System representation

# Inform User
echo Creating $1_$2_write.r

# Find system constants
Nx=`mtt_getsize $sys x` # States
Nxx=`mtt_getsize $sys xx` # States x States
Nu=`mtt_getsize $sys u` # Inputs 
Ny=`mtt_getsize $sys y` # Outputs 
Nyz=`mtt_getsize $sys yz` # Zero outputs
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        ns="$Nx $Nx $Ny $Ny"
        ms="$Nx $Nu $Nx $Nu"
	;;
    *)
        echo def2write_r: representation $rep not recognised
        exit
esac

mtt_optimise_local ()
{
    sys="$1"
    lhs="$2"
    rhs="$3"
    
    dae="${sys}_dae.r"
    tmp="mtt_optimise.tmp"
    tmp1="mtt_optimise1.tmp"
    tmp2="mtt_optimise2.tmp"
    tmp3="mtt_optimise3.tmp"
    
    grep -i -e "^$lhs" $dae |\
	sed -e 's/;/\ INAME\ mtt_tmp/g' |\
	sed -e 's/:=/:=/g' > $tmp1
    nlines=`wc -l $tmp1 | gawk '{print $1}'`
    if [ $nlines -gt 0 ]; then
	{
	    cat <<EOF
off echo$
load scope$
on double$
on noconvert$
on rounded$
off int$
off nat$
$include

out "$tmp2"$
optimize
EOF
	} > $tmp
	cat $tmp1 >> $tmp
	{
	    cat <<EOF
shut "$tmp2"$
$end$
EOF
	} >> $tmp
	echo "%%% $lhs %%%" >> def2write_r1.log
	${SYMBOLIC:-reduce} < $tmp >> def2write_r1.log 2>> def2write_r2.log
	cat $tmp2 | gawk -v RS=';' '($2 == ":=") {print $0}' > $tmp3
	cat $tmp3 | mtt_fix_integers
    fi
    rm -f $tmp $tmp1 $tmp2 $tmp3
    return
}


# Remove log files
rm -f def2write_r1.log def2write_r2.log

# Write out the code
echo "" > $1_$2_write.r

if [ ${opt:-""} = "-optimise_local" ]; then
    echo 'off nat$'
#    echo 'on echo$'
else
    echo 'off echo$'
    echo 'load gentran$'
fi >> $1_$2_write.r

for matrix in $matrices; do
    matrix_exists=`grep -i MTT${matrix} ${sys}_dae.r | wc -l | gawk '{print $1}'`
    if [ "$matrix" = "EdX" -o $matrix_exists -gt 0 ]; then
	n=`first "$ns"`; ns=`rest "$ns"` 
	m=`first "$ms"`; ms=`rest "$ms"`
	is=`n2m 1 $n`; 
	js=`n2m 1 $m`; 
	echo "write \"% Begin Matrix MTT${matrix}\"$" >> $1_$2_write.r
	if [ $n -ge 1 ]; then
	    for i in $is; do
		for j in $js; do
		    if [ ${opt:-""} = "-optimise_local" ]; then
			name=`echo MTT$matrix'('$i','$j')'`
			mtt_optimise_local $1 "$comma$name" "$name"
			comma=''
		    else
			echo 'write'
			name=`echo MTT$matrix'('$i','$j')'`
			echo '  '$comma$name ':=' $name '$'
		    fi >> $1_$2_write.r
		done
	    done
	fi
	echo "write \"% End Matrix MTT${matrix}\"$" >> $1_$2_write.r
    fi
done
echo ';END;'                           >>$1_$2_write.r









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        ns="$Nx $Nx $Ny $Ny"
        ms="$Nx $Nu $Nx $Nu"
	;;
    *)
        echo def2write_r: representation $rep not recognised
        exit
esac


















































# Remove log files
rm -f def2write_r1.log def2write_r2.log

# Write out the code
echo "" > $1_$2_write.r





echo 'off echo$' >> $1_$2_write.r
echo 'load gentran$' >> $1_$2_write.r


for matrix in $matrices; do
    matrix_exists=`grep -i MTT${matrix} ${sys}_dae.r | wc -l | gawk '{print $1}'`
    if [ "$matrix" = "EdX" -o $matrix_exists -gt 0 ]; then
	n=`first "$ns"`; ns=`rest "$ns"` 
	m=`first "$ms"`; ms=`rest "$ms"`
	is=`n2m 1 $n`; 
	js=`n2m 1 $m`; 
	echo "write \"% Begin Matrix MTT${matrix}\"$" >> $1_$2_write.r
	if [ $n -ge 1 ]; then
	    for i in $is; do
		for j in $js; do





		    echo 'write'
		    name=`echo MTT$matrix'('$i','$j')'`
		    echo '  '$comma$name ':=' $name '$'

		done
	    done
	fi >> $1_$2_write.r
	echo "write \"% End Matrix MTT${matrix}\"$" >> $1_$2_write.r
    fi
done
echo ';END;'                           >>$1_$2_write.r

Added mttroot/mtt/bin/trans/mtt_optimise version [c438ecdefe]. 





















































































































































































































































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#! /bin/sh

# script uses Reduce + Scope to optimise a vector
# either global (an entire vector) or local (line-by-line)

extent=$1			# global or local
system=$2
representation=$3

# error codes
E_REP_NOT_SUPPORTED=-19
E_FILE_NOT_EXIST=-20

case $representation in
    ae)
	matrix=yz ;
	nmatrix=`mtt_getsize $system yz` ;;
    ode)
	matrix=dx ;
	nmatrix=`mtt_getsize $system x` ;;
    cseo | odeo)
	matrix=y ;
	nmatrix=`mtt_getsize $system y` ;;
    *)
	exit $E_REP_NOT_SUPPORTED;;
esac

# Global optimisation: Generate a command of the form
# optimise mtt?(1,1) :=: mtt?(1,1), mtt?(2,1) :=: mtt?(2,1), ..., INAME mtt_tmp$
#
# Local optimisation: Generate a command of the form
# optimise mtt?(1,1) :=: mtt?(1,1) INAME mtt_tmp$ \
# optimise mtt?(2,1) :=: mtt?(2,1) INAME mtt_tmp$ ...
case $extent in
    "global" )
	delimiter=", "
	terminate="INAME mtt_tmp$"
	;;
    "local" )
	delimiter=" INAME mtt_tmp$ optimize"
	terminate="$"
	;;
    * )
	echo "*** unknown scope for optimisation"
	echo "*** should be global or local"
	exit -1
	;;
esac

if [ $nmatrix -gt 0 ]; then
    command="optimize"
    counter=1
    while [ $counter -le $nmatrix ]; do
	command="$command mtt$matrix($counter,1) :=: mtt$matrix($counter,1)$delimiter"
	counter=`expr $counter + 1`
    done
    command="$command $terminate"
else
    command=""
fi

logfile=${system}_${representation}_optimisation.log
tmpfile=${system}_${representation}_optimisation.tmp
outfile=${system}_${representation}.r

if [ ! -f $outfile ]; then
    exit $E_FILE_NOT_EXIST
fi

find_code ()
{
    file_in=${1:-${IN}}
    portion=${2:-"body"}
    head=`cat ${file_in} | gawk '($2 == "Begin" && $3 == "Matrix") { print NR }'`
    foot=`cat ${file_in} | gawk '($2 == "End"   && $3 == "Matrix") { print NR }'`
    case ${portion} in
	head)
	    start=0
	    end=${head}
	    ;;
	body)
	    start=${head}
	    end=${foot}
	    ;;
	foot)
	    start=${foot}
	    end=end
	    ;;
	*)
	    echo "Error in find_code: portion unknown"
	    return -1
	    ;;
    esac
    cat ${file_in} |\
    gawk --assign start=${start} --assign end=${end} '
	(start < NR && NR < end) { print $0 }'
};


# Use Reduce to perform the optimisation
${SYMBOLIC:-reduce} <<EOF > $logfile 2>&1
off nat;
in "${system}_def.r";
in "$outfile";
load scope;
out "$tmpfile";
$command;
shut "$tmpfile";
$end;
EOF

cp $outfile $outfile.unoptimised
cp $tmpfile $outfile.tmp

find_code $outfile head > $tmpfile.head
cat $tmpfile | mtt_fix_integers > $tmpfile.body
find_code $outfile foot > $tmpfile.foot
cat $tmpfile.head $tmpfile.body $tmpfile.foot > $outfile
echo ";end;" >> $outfile

mtt_error_r $logfile

Deleted mttroot/mtt/bin/trans/mtt_optimise_global version [2e6c7a680f]. 

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#! /bin/sh

# script uses Reduce + Scope to optimise an entire vector

system=$1
representation=$2

# error codes
E_REP_NOT_SUPPORTED=-19
E_FILE_NOT_EXIST=-20

case $representation in
    ae)
	matrix=yz ;
	nmatrix=`mtt_getsize $system yz` ;;
    ode)
	matrix=dx ;
	nmatrix=`mtt_getsize $system x` ;;
    cseo | odeo)
	matrix=y ;
	nmatrix=`mtt_getsize $system y` ;;
    *)
	exit $E_REP_NOT_SUPPORTED;;
esac

# Generate a command of the form
# optimise mtt?(1,1) :=: mtt?(1,1), mtt?(2,1) :=: mtt?(2,1), ..., INAME mtt_tmp$
if [ $nmatrix -gt 0 ]; then
    command="optimize"
    counter=1
    while [ $counter -le $nmatrix ]; do
	command="$command mtt$matrix($counter,1) :=: mtt$matrix($counter,1),"
	counter=`expr $counter + 1`
    done
    command="$command INAME mtt_tmp"
else
    command=""
fi

logfile=${system}_${representation}_global_optimisation.log
tmpfile=${system}_${representation}_global_optimisation.tmp
outfile=${system}_${representation}.r

if [ ! -f $outfile ]; then
    exit $E_FILE_NOT_EXIST
fi

find_code ()
{
    file_in=${1:-${IN}}
    portion=${2:-"body"}
    head=`cat ${file_in} | gawk '($2 == "Begin" && $3 == "Matrix") { print NR }'`
    foot=`cat ${file_in} | gawk '($2 == "End"   && $3 == "Matrix") { print NR }'`
    case ${portion} in
	head)
	    start=0
	    end=${head}
	    ;;
	body)
	    start=${head}
	    end=${foot}
	    ;;
	foot)
	    start=${foot}
	    end=end
	    ;;
	*)
	    echo "Error in find_code: portion unknown"
	    return -1
	    ;;
    esac
    cat ${file_in} |\
    gawk --assign start=${start} --assign end=${end} '
	(start < NR && NR < end) { print $0 }'
};


# Use Reduce to perform the optimisation
${SYMBOLIC:-reduce} <<EOF > $logfile 2>&1
off nat;
in "${system}_def.r";
in "$outfile";
load scope;
out "$tmpfile";
$command;
shut "$tmpfile";
$end;
EOF

cp $outfile $outfile.unoptimised
cp $tmpfile $outfile.tmp

find_code $outfile head > $tmpfile.head
cat $tmpfile | mtt_fix_integers > $tmpfile.body
find_code $outfile foot > $tmpfile.foot
cat $tmpfile.head $tmpfile.body $tmpfile.foot > $outfile
echo ";end;" >> $outfile

mtt_error_r $logfile

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MTT: Model Transformation Tools
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