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#! /bin/sh

     ###################################### 
     ##### Model Transformation Tools #####
     ######################################

# Bourne shell script: sm_r2tex
# Bourne shell script: can_r2tex
# Reduce constrained-state matrices to LaTex constrained-state matrices.
# P.J.Gawthrop  9 Sep 1991, May 1994
# Copyright (c) P.J.Gawthrop, 1991, May 1994, 1996.
# P.J.Gawthrop  January 8th 1997
# Copyright (c) P.J.Gawthrop, 1997

###############################################################
## Version control history
###############################################################
## $Id$
## $Log$
# Revision 1.3  1997/06/13  13:50:11  peterg
# Matrices in amstex format
#
# Revision 1.2  1997/04/18  12:54:00  peterg
# No longer does labels.
#
# Revision 1.1  1996/08/19  15:19:23  peter
# Initial revision
#
###############################################################


# Inform user
echo Creating $1_sm.tex
echo Creating $1_can.tex

# Remove the old log file
rm -f sm_r2tex.log
rm -f can_r2tex.log

# Use reduce to accomplish the transformation
reduce >sm_r2tex.log << EOF
reduce >can_r2tex.log<< EOF

%Read the definitions file
in "$1_def.r";

%Read the constrained-state matrices file
in "$1_sm.r";
%Read the canonical-form matrices file
in "$1_can.r";

%Read the symbolic parameters file
in "$1_sympar.r";
%Read the substitution file
in "$1_subs.r";

%Read the simplification file
in "$1_simp.r";

%Read the formatting function
in "$MTTPATH/trans/latex_matrix.r";

OFF Echo;
OFF Nat;
OFF EXP;
%ON Rounded;
%Precision 5;


OUT "$1_sm.tex";
OUT "$1_can.tex";

%Write out the state matrices.
write "%state  matrices $1";
write "%File: $1.rcm";
%Write out the canonical matrices
write "%Canonical-form  matrices $1";
write "%File: $1_can.tex";
write"";

write "%constrained-state matrices";

% Controllable form
MTT_Matrix := MTTA_c$ 
MTT_Matrix_name := "MTTA_c"$
IF MTTNx>0 THEN
MTT_Matrix_n := MTTNx$
BEGIN
write "%  - A matrix";
write "\begin{equation}";
write "MTTA = \begin{pmatrix}";
	FOR Row := 1:MTTNx DO
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

MTT_Matrix := MTTB_c$ 
MTT_Matrix_name := "MTTB_c"$
MTT_Matrix_n := MTTNx$
	BEGIN
		FOR Col := 1:MTTNx DO
		BEGIN
			Write "{", MTTA(Row,Col), "}";
			IF Col<MTTNx THEN Write "&"
		END;
MTT_Matrix_m := MTTNu$
LaTeX_Matrix()$

MTT_Matrix := MTTC_c$ 
MTT_Matrix_name := "MTTC_c"$
MTT_Matrix_n := MTTNy$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$


% Observable form
	IF Row<MTTNx THEN Write "\cr";
	END;
	Write "\end{pmatrix}";
write "\end{equation}";
MTT_Matrix := MTTA_o$ 
MTT_Matrix_name := "MTTA_o"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

MTT_Matrix := MTTB_o$ 
MTT_Matrix_name := "MTTB_o"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNu$
LaTeX_Matrix()$

MTT_Matrix := MTTC_o$ 
MTT_Matrix_name := "MTTC_o"$
MTT_Matrix_n := MTTNy$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

write "%  - B matrix";
write "%  - Controllability matrix";
write "\begin{equation}";
write "MTTB = \begin{pmatrix}";
	FOR Row := 1:MTTNx DO
MTT_Matrix := MTTCon$ 
MTT_Matrix_name := "MTTCon"$
MTT_Matrix_n := MTTNx$
	BEGIN
		FOR Col := 1:MTTNu DO
		BEGIN
			Write "{", MTTB(Row,Col), "}";
			IF Col<MTTNu THEN Write "&"
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

write "%  -Observability matrix";
MTT_Matrix := MTTObs$ 
		END;
MTT_Matrix_name := "MTTObs"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

	IF Row<MTTNx THEN Write "\cr";
	END;
	Write "\end{pmatrix}";
write "\end{equation}";
write "%  -Controllability matrix - controller form";
MTT_Matrix := MTTCon_c$ 
MTT_Matrix_name := "MTTCon_c"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

write "%  - Transformation matrix - controller form";
MTT_Matrix := MTTT_c$ 
MTT_Matrix_name := "MTTT_c"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

write "%  - Gain matrix - controller form";
MTT_Matrix := MTTK_c$ 
MTT_Matrix_name := "MTTK_c"$
MTT_Matrix_n := MTTNu$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

write "%  - C matrix";
write "%  - Gain matrix - physical form";
write "\begin{equation}";
write "MTTC = \begin{pmatrix}";
	FOR Row := 1:MTTNy DO
MTT_Matrix := MTTK$ 
MTT_Matrix_name := "MTTK"$
	BEGIN
		FOR Col := 1:MTTNx DO
MTT_Matrix_n := MTTNu$
		BEGIN
			Write "{", MTTC(Row,Col), "}";
			IF Col<MTTNx THEN Write "&"
		END;
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$


	IF Row<MTTNy THEN Write "\cr";
	END;
	Write "\end{pmatrix}";
write "\end{equation}";
write "%  -Observability matrix - Observer form";
MTT_Matrix := MTTObs_o$ 
MTT_Matrix_name := "MTTObs_o"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

write "%  - Transformation matrix - Observer form";
MTT_Matrix := MTTT_o$ 
MTT_Matrix_name := "MTTT_o"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

write "%  - Observer Gain matrix - observer form";
MTT_Matrix := MTTL_o$ 
MTT_Matrix_name := "MTTL_o"$
END; %Nx>0
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNy$
LaTeX_Matrix()$

write "%  - D matrix";
write "\begin{equation}";
write "MTTD = \begin{pmatrix}";
	FOR Row := 1:MTTNy DO
	BEGIN
		FOR Col := 1:MTTNu DO
		BEGIN
			Write "{", MTTD(Row,Col), "}";
			IF Col<MTTNu THEN Write "&"
		END;
write "%  - Gain matrix - physical form";
MTT_Matrix := MTTL$ 
MTT_Matrix_name := "MTTL"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNy$
LaTeX_Matrix()$


% Controllable form
MTT_Matrix := MTTA_comp$ 
MTT_Matrix_name := "MTTA_comp"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

MTT_Matrix := MTTB_comp$ 
MTT_Matrix_name := "MTTB_comp"$
MTT_Matrix_n := MTTNx$
MTT_Matrix_m := MTTNu$
LaTeX_Matrix()$

MTT_Matrix := MTTC_comp$ 
MTT_Matrix_name := "MTTC_comp"$
MTT_Matrix_n := MTTNy$
MTT_Matrix_m := MTTNx$
LaTeX_Matrix()$

	IF Row<MTTNy THEN Write "\cr";
	END;
	Write "\end{pmatrix}";


write "\begin{equation}";
  write "MTTur = {", MTTu_r, "}";
write "\end{equation}";

SHUT "$1_sm.tex";
SHUT "$1_can.tex";
quit;
EOF

MTT: Model Transformation Tools
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