#! /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
###############################################################
## $Id$
## $Log$
## Revision 1.2  1998/08/15 14:07:11  peterg
## Don't do ImplicitL
##
## Revision 1.1  1998/08/15 13:58:27  peterg
## Initial revision
##
###############################################################


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
if [ -z "$3" ]; then
    METHODS='ImplicitS Euler Implicit'
else
    METHODS=$3
fi

echo "Running system HR$1 with DT = $DT"
echo "using methods $METHODS"

#Create the system
mtt -q rename HR HR$n >/dev/null
rm -f MTT_work/HR$1_state.* #Why ??

# 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

   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


















rm -f HR$1_table.txt

#Do the methods of interest


for METHOD in $METHODS; do

case $METHOD in
    Euler)
    # What is the minimum step size for Euler?
    mtt -q HR$n numpar m
    mtt -q HR$n sm m
octave -q <<EOF >HR$1.tmp1
    HR$1_numpar;
    A=HR$1_sm;
    Max_Eig=max(eig(-A))
    STEPFACTOR=ceil( Max_Eig*$DT/2 )
EOF
    MinSTEPFACTOR=`awk '{if ($1=="STEPFACTOR") print $3}' HR$1.tmp1`
    STEPFACTOR=$MinSTEPFACTOR
	;;
    ImplicitS)
    # What is the empirical step size for sparse method?
    octave -q <<EOF >HR$1.tmp1
    if $n>100 
      SparseSTEPFACTOR=10*$n
    else
      SparseSTEPFACTOR=5*$n
    endif
EOF
     SparseSTEPFACTOR=`awk '{if ($1=="SparseSTEPFACTOR") print $3}' HR$1.tmp1`

		STEPFACTOR=$SparseSTEPFACTOR
	;;
    *)
		STEPFACTOR=1
	;;
esac


  echo "Doing HR$1 with DT=$DT using $METHOD (STEPFACTOR = $STEPFACTOR)"

  # Modify the simpar.txt files
  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 "\\\\"}'\