#! /bin/sh
######################################
##### Model Transformation Tools #####
######################################
# Bourne shell script: cse2ode_r
# Reduce constrained-state equations to ode.
# P.J.Gawthrop 10th May 199, 8th August 1991, April 1994, Dec 1994
# Copyright (c) P.J.Gawthrop, 1991, 1994.
###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
## Revision 1.1.4.1 2001/05/04 04:07:24 geraint
## Numerical solution of algebraic equations.
## sys_ae.cc written for unsolved inputs.
## Solution of equations using hybrd from MINPACK (as used by Octave fsolve).
##
## Revision 1.1 2000/12/28 12:21:31 peterg
## Put under RCS
##
## Revision 1.2 1997/01/06 21:17:10 peterg
## Removed: OFF Exp; OFF GCD;
##
## Revision 1.1 1996/08/25 10:05:45 peter
## Initial revision
##
###############################################################
# Create the reduce output code
def2write_r $1 ode
def2write_r $1 odeo
#Inform user
echo Creating $1_ode.r
echo Creating $1_odeo.r
# Remove the old log file
rm -f cse2ode_r.log
# Use reduce to accomplish the transformation
$SYMBOLIC >cse2ode_r.log << EOF
%Read the formatting function
in "$MTTPATH/trans/reduce_matrix.r";
%Read the definitions file
in "$1_def.r";
%Read the substitution file
in "$1_subs.r";
%Read the constrained-state equations file
in "$1_cse.r";
%Read the algebraic equations file
in "$1_ae.r";
IF MTTNx>0 THEN
IF MTTNz>0 THEN
MTTdXX := MTTE^(-1)*MTTEdX
ELSE
MTTdXX := MTTEdX;
%Remove all dX terms from y - a rather nasty method, sorry!
MTTdX1 := 0;
MTTdX2 := 0;
MTTdX3 := 0;
MTTdX4 := 0;
MTTdX5 := 0;
MTTdX6 := 0;
MTTdX7 := 0;
MTTdX8 := 0;
MTTdX9 := 0;
MTTdX10 := 0;
MTTdX11 := 0;
MTTdX12 := 0;
MTTdX13 := 0;
MTTdX14 := 0;
MTTdX15 := 0;
MTTdX16 := 0;
MTTdX17 := 0;
MTTdX18 := 0;
MTTdX19 := 0;
MTTdX20 := 0;
%Substitute dX into y;
IF MTTNz>0 THEN
IF MTTNx>0 THEN
MTTY := MTTY + MTTEyx*MTTdX;
OFF Echo;
OFF Nat;
MTTdX := MTTdXX;
%Write out the ordinary differential equations.
OUT "$1_ode.r";
write "%File: $1_ode.r";
in ("$1_ode_write.r");
write "in ""$1_odeo.r"";";
write "END;";
SHUT "$1_ode.r";
%Write out the output equations
OUT "$1_odeo.r";
write "%File: $1_odeo.r";
in ("$1_odeo_write.r");
write "END;";
SHUT "$1_odeo.r";
quit;
EOF
# Now invoke the standard error handling.
mtt_error_r cse2ode_r.log