#! /bin/sh
# Shell script for running the large HeatedRod systems to compare
# four integration methods.
# Usage example: Run 100 0.25 runf the 100 segment example at interval 0.25

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


n=$1
DT=$2

if [ -z "$n" ]; then
    echo "First argument is N: number of segments (eg 100)"
    exit
fi
if [ -z "$DT" ]; then
    echo "Second argument is DT: the sample interval (eg 0.25)"
    exit
fi

echo "Running system HR$1 with DT = $DT"

#Create the system
mtt -q rename HR HR$n >/dev/null

# Is it already correct?
count=`grep -c "*$n" HR$1_abg.fig`

# if not, then set the correct number of segments
if [ "$count" = "0" ]; then
    echo Setting number of segments to $n
    mv HR$1_abg.fig  HR$1_abg.old
    sed "s/\*[0-9]*/*$1/"<HR$1_abg.old>HR$1_abg.fig

    mv HR$1_numpar.txt  HR$1_numpar.old
    sed "s/segments = [0-9]*/segments = $1/"<HR$1_numpar.old >HR$1_numpar.txt

   echo "Making the default HR$1_state.txt"
   rm -f HR$1_state.txt MTT_work/HR$1_state.txt
   mtt -q  HR$1 state txt
   echo "Setting $n states to c_t*t_0"
   mv HR$1_state.txt  HR$1_state.old
   sed "s/0.0/c_t*t_0/"<HR$1_state.old >HR$1_state.txt
fi

echo Computing  STEPFACTOR
mtt -q HR$n numpar m
mtt -q HR$n sm m


# What is the minimum step size for Euler? (and for sparse method)
octave -q <<EOF >HR$1.tmp1
  HR$1_numpar;
  A=HR$1_sm;
  Max_Eig=max(eig(-A))
  STEPFACTOR=ceil( Max_Eig*$DT/2 )
  SparseSTEPFACTOR=5*$n # Emiprical!!
EOF

MinSTEPFACTOR=`awk '{if ($1=="STEPFACTOR") print $3}' HR$1.tmp1`
SparseSTEPFACTOR=`awk '{if ($1=="SparseSTEPFACTOR") print $3}' HR$1.tmp1`

rm -f HR$1_table.txt

#Set the methods of interest
METHODS='ImplicitS Euler ImplicitL Implicit'

for METHOD in $METHODS; do

case $METHOD in
    Euler)
		STEPFACTOR=$MinSTEPFACTOR
	;;
    ImplicitS)
		STEPFACTOR=$SparseSTEPFACTOR
	;;
    *)
		STEPFACTOR=1
	;;
esac


  echo "Doing HR$1 with DT=$DT using $METHOD (STEPFACTOR = $STEPFACTOR)"
  grep -v 'STEPFACTOR' HR_simpar.txt | grep -v 'METHOD' | grep -v 'DT' > HR$1_simpar.txt
  echo "STEPFACTOR = $STEPFACTOR; # Added automatically" >>HR$1_simpar.txt
  echo "METHOD = $METHOD;         # Added automatically" >>HR$1_simpar.txt
  echo "DT = $DT;                 # Added automatically" >>HR$1_simpar.txt
  mtt -q -c -o HR$1 odeso ps > junk 2>>junk #HR$1_$METHOD.tmp
  grep user junk |\
     awk '{print System " &\t" METHOD " &\t"  DT " &\t"  STEPFACTOR " &\t" $2 "\\\\"}'\
      METHOD=$METHOD STEPFACTOR=$STEPFACTOR System=HR$1 DT=$DT >> HR$1_table.txt

  cp HR$1_odeso.ps  HR$1.$METHOD.$DT.ps
done

cat HR$1_table.txt