Menu
▾
▴
octave-cvsupdate
|
From: <par...@us...> - 2011-11-05 16:19:45
|
Revision: 9001
http://octave.svn.sourceforge.net/octave/?rev=9001&view=rev
Author: paramaniac
Date: 2011-11-05 16:19:38 +0000 (Sat, 05 Nov 2011)
Log Message:
-----------
control-devel: add comments to developer makefiles
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/makefile_conred.m
trunk/octave-forge/extra/control-devel/devel/makefile_devel.m
trunk/octave-forge/extra/control-devel/devel/makefile_ident.m
trunk/octave-forge/extra/control-devel/devel/makefile_modred.m
Modified: trunk/octave-forge/extra/control-devel/devel/makefile_conred.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/makefile_conred.m 2011-11-05 16:12:47 UTC (rev 9000)
+++ trunk/octave-forge/extra/control-devel/devel/makefile_conred.m 2011-11-05 16:19:38 UTC (rev 9001)
@@ -1,3 +1,12 @@
+## ==============================================================================
+## Developer Makefile for OCT-files
+## ==============================================================================
+## USAGE: * fetch control-devel from Octave-Forge by svn
+## * add control-devel/inst, control-devel/src and control-devel/devel
+## to your Octave path
+## * run makefile_conred
+## ==============================================================================
+
homedir = pwd ();
develdir = fileparts (which ("makefile_conred"));
srcdir = [develdir, "/../src"];
Modified: trunk/octave-forge/extra/control-devel/devel/makefile_devel.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/makefile_devel.m 2011-11-05 16:12:47 UTC (rev 9000)
+++ trunk/octave-forge/extra/control-devel/devel/makefile_devel.m 2011-11-05 16:19:38 UTC (rev 9001)
@@ -1,3 +1,12 @@
+## ==============================================================================
+## Developer Makefile for OCT-files
+## ==============================================================================
+## USAGE: * fetch control-devel from Octave-Forge by svn
+## * add control-devel/inst, control-devel/src and control-devel/devel
+## to your Octave path
+## * run makefile_devel
+## ==============================================================================
+
makefile_conred
makefile_ident
makefile_modred
\ No newline at end of file
Modified: trunk/octave-forge/extra/control-devel/devel/makefile_ident.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/makefile_ident.m 2011-11-05 16:12:47 UTC (rev 9000)
+++ trunk/octave-forge/extra/control-devel/devel/makefile_ident.m 2011-11-05 16:19:38 UTC (rev 9001)
@@ -1,3 +1,12 @@
+## ==============================================================================
+## Developer Makefile for OCT-files
+## ==============================================================================
+## USAGE: * fetch control-devel from Octave-Forge by svn
+## * add control-devel/inst, control-devel/src and control-devel/devel
+## to your Octave path
+## * run makefile_ident
+## ==============================================================================
+
homedir = pwd ();
develdir = fileparts (which ("makefile_ident"));
srcdir = [develdir, "/../src"];
Modified: trunk/octave-forge/extra/control-devel/devel/makefile_modred.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/makefile_modred.m 2011-11-05 16:12:47 UTC (rev 9000)
+++ trunk/octave-forge/extra/control-devel/devel/makefile_modred.m 2011-11-05 16:19:38 UTC (rev 9001)
@@ -1,3 +1,12 @@
+## ==============================================================================
+## Developer Makefile for OCT-files
+## ==============================================================================
+## USAGE: * fetch control-devel from Octave-Forge by svn
+## * add control-devel/inst, control-devel/src and control-devel/devel
+## to your Octave path
+## * run makefile_modred
+## ==============================================================================
+
homedir = pwd ();
develdir = fileparts (which ("makefile_modred"));
srcdir = [develdir, "/../src"];
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-01-05 10:40:11
|
Revision: 9495
http://octave.svn.sourceforge.net/octave/?rev=9495&view=rev
Author: paramaniac
Date: 2012-01-05 09:58:36 +0000 (Thu, 05 Jan 2012)
Log Message:
-----------
control-devel: add remark
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/makefile_conred.m
trunk/octave-forge/extra/control-devel/devel/makefile_devel.m
trunk/octave-forge/extra/control-devel/devel/makefile_ident.m
trunk/octave-forge/extra/control-devel/devel/makefile_modred.m
Modified: trunk/octave-forge/extra/control-devel/devel/makefile_conred.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/makefile_conred.m 2012-01-03 14:55:29 UTC (rev 9494)
+++ trunk/octave-forge/extra/control-devel/devel/makefile_conred.m 2012-01-05 09:58:36 UTC (rev 9495)
@@ -3,7 +3,7 @@
## ==============================================================================
## USAGE: * fetch control-devel from Octave-Forge by svn
## * add control-devel/inst, control-devel/src and control-devel/devel
-## to your Octave path
+## to your Octave path (by an .octaverc file)
## * run makefile_conred
## ==============================================================================
Modified: trunk/octave-forge/extra/control-devel/devel/makefile_devel.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/makefile_devel.m 2012-01-03 14:55:29 UTC (rev 9494)
+++ trunk/octave-forge/extra/control-devel/devel/makefile_devel.m 2012-01-05 09:58:36 UTC (rev 9495)
@@ -3,7 +3,7 @@
## ==============================================================================
## USAGE: * fetch control-devel from Octave-Forge by svn
## * add control-devel/inst, control-devel/src and control-devel/devel
-## to your Octave path
+## to your Octave path (by an .octaverc file)
## * run makefile_devel
## ==============================================================================
Modified: trunk/octave-forge/extra/control-devel/devel/makefile_ident.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/makefile_ident.m 2012-01-03 14:55:29 UTC (rev 9494)
+++ trunk/octave-forge/extra/control-devel/devel/makefile_ident.m 2012-01-05 09:58:36 UTC (rev 9495)
@@ -3,7 +3,7 @@
## ==============================================================================
## USAGE: * fetch control-devel from Octave-Forge by svn
## * add control-devel/inst, control-devel/src and control-devel/devel
-## to your Octave path
+## to your Octave path (by an .octaverc file)
## * run makefile_ident
## ==============================================================================
Modified: trunk/octave-forge/extra/control-devel/devel/makefile_modred.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/makefile_modred.m 2012-01-03 14:55:29 UTC (rev 9494)
+++ trunk/octave-forge/extra/control-devel/devel/makefile_modred.m 2012-01-05 09:58:36 UTC (rev 9495)
@@ -3,7 +3,7 @@
## ==============================================================================
## USAGE: * fetch control-devel from Octave-Forge by svn
## * add control-devel/inst, control-devel/src and control-devel/devel
-## to your Octave path
+## to your Octave path (by an .octaverc file)
## * run makefile_modred
## ==============================================================================
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-01-06 16:30:42
|
Revision: 9503
http://octave.svn.sourceforge.net/octave/?rev=9503&view=rev
Author: paramaniac
Date: 2012-01-06 16:30:32 +0000 (Fri, 06 Jan 2012)
Log Message:
-----------
control-devel: add draft code for some compatibility wrappers
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/balancmr.m
trunk/octave-forge/extra/control-devel/devel/balred.m
trunk/octave-forge/extra/control-devel/devel/bstmr.m
trunk/octave-forge/extra/control-devel/devel/hankelmr.m
Added: trunk/octave-forge/extra/control-devel/devel/balancmr.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/balancmr.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/balancmr.m 2012-01-06 16:30:32 UTC (rev 9503)
@@ -0,0 +1,307 @@
+## Copyright (C) 2012 Lukas F. Reichlin
+##
+## This file is part of LTI Syncope.
+##
+## LTI Syncope is free software: you can redistribute it and/or modify
+## it under the terms of the GNU General Public License as published by
+## the Free Software Foundation, either version 3 of the License, or
+## (at your option) any later version.
+##
+## LTI Syncope is distributed in the hope that it will be useful,
+## but WITHOUT ANY WARRANTY; without even the implied warranty of
+## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+## GNU General Public License for more details.
+##
+## You should have received a copy of the GNU General Public License
+## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{opt}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @var{opt}, @dots{})
+##
+## Model order reduction by frequency weighted Balanced Truncation Approximation (BTA) method.
+## The aim of model reduction is to find an LTI system @var{Gr} of order
+## @var{nr} (nr < n) such that the input-output behaviour of @var{Gr}
+## approximates the one from original system @var{G}.
+##
+## BTA is an absolute error method which tries to minimize
+## @iftex
+## @tex
+## $$ || G - G_r ||_{\\infty} = min $$
+## $$ || V \\ (G - G_r) \\ W ||_{\\infty} = min $$
+## @end tex
+## @end iftex
+## @ifnottex
+## @example
+## ||G-Gr|| = min
+## inf
+##
+## ||V (G-Gr) W|| = min
+## inf
+## @end example
+## @end ifnottex
+## where @var{V} and @var{W} denote output and input weightings.
+##
+##
+## @strong{Inputs}
+## @table @var
+## @item G
+## LTI model to be reduced.
+## @item nr
+## The desired order of the resulting reduced order system @var{Gr}.
+## If not specified, @var{nr} is chosen automatically according
+## to the description of key @var{'order'}.
+## @item @dots{}
+## Optional pairs of keys and values. @code{"key1", value1, "key2", value2}.
+## @item opt
+## Optional struct with keys as field names.
+## Struct @var{opt} can be created directly or
+## by command @command{options}. @code{opt.key1 = value1, opt.key2 = value2}.
+## @end table
+##
+## @strong{Outputs}
+## @table @var
+## @item Gr
+## Reduced order state-space model.
+## @item info
+## Struct containing additional information.
+## @table @var
+## @item info.n
+## The order of the original system @var{G}.
+## @item info.ns
+## The order of the @var{alpha}-stable subsystem of the original system @var{G}.
+## @item info.hsv
+## The Hankel singular values of the @var{alpha}-stable part of
+## the original system @var{G}, ordered decreasingly.
+## @item info.nu
+## The order of the @var{alpha}-unstable subsystem of both the original
+## system @var{G} and the reduced-order system @var{Gr}.
+## @item info.nr
+## The order of the obtained reduced order system @var{Gr}.
+## @end table
+## @end table
+##
+##
+## @strong{Option Keys and Values}
+## @table @var
+## @item 'order', 'nr'
+## The desired order of the resulting reduced order system @var{Gr}.
+## If not specified, @var{nr} is chosen automatically such that states with
+## Hankel singular values @var{info.hsv} > @var{tol1} are retained.
+##
+## @item 'left', 'output'
+## LTI model of the left/output frequency weighting @var{V}.
+## Default value is an identity matrix.
+##
+## @item 'right', 'input'
+## LTI model of the right/input frequency weighting @var{W}.
+## Default value is an identity matrix.
+##
+## @item 'method'
+## Approximation method for the L-infinity norm to be used as follows:
+## @table @var
+## @item 'sr', 'b'
+## Use the square-root Balance & Truncate method.
+## @item 'bfsr', 'f'
+## Use the balancing-free square-root Balance & Truncate method. Default method.
+## @end table
+##
+## @item 'alpha'
+## Specifies the ALPHA-stability boundary for the eigenvalues
+## of the state dynamics matrix @var{G.A}. For a continuous-time
+## system, ALPHA <= 0 is the boundary value for
+## the real parts of eigenvalues, while for a discrete-time
+## system, 0 <= ALPHA <= 1 represents the
+## boundary value for the moduli of eigenvalues.
+## The ALPHA-stability domain does not include the boundary.
+## Default value is 0 for continuous-time systems and
+## 1 for discrete-time systems.
+##
+## @item 'tol1'
+## If @var{'order'} is not specified, @var{tol1} contains the tolerance for
+## determining the order of the reduced model.
+## For model reduction, the recommended value of @var{tol1} is
+## c*info.hsv(1), where c lies in the interval [0.00001, 0.001].
+## Default value is info.ns*eps*info.hsv(1).
+## If @var{'order'} is specified, the value of @var{tol1} is ignored.
+##
+## @item 'tol2'
+## The tolerance for determining the order of a minimal
+## realization of the ALPHA-stable part of the given
+## model. TOL2 <= TOL1.
+## If not specified, ns*eps*info.hsv(1) is chosen.
+##
+## @item 'gram-ctrb'
+## Specifies the choice of frequency-weighted controllability
+## Grammian as follows:
+## @table @var
+## @item 'standard'
+## Choice corresponding to a combination method [4]
+## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
+## @item 'enhanced'
+## Choice corresponding to the stability enhanced
+## modified combination method of [4].
+## @end table
+##
+## @item 'gram-obsv'
+## Specifies the choice of frequency-weighted observability
+## Grammian as follows:
+## @table @var
+## @item 'standard'
+## Choice corresponding to a combination method [4]
+## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
+## @item 'enhanced'
+## Choice corresponding to the stability enhanced
+## modified combination method of [4].
+## @end table
+##
+## @item 'alpha-ctrb'
+## Combination method parameter for defining the
+## frequency-weighted controllability Grammian.
+## abs(alphac) <= 1.
+## If alphac = 0, the choice of
+## Grammian corresponds to the method of Enns [1], while if
+## alphac = 1, the choice of Grammian corresponds
+## to the method of Lin and Chiu [2,3].
+## Default value is 0.
+##
+## @item 'alpha-obsv'
+## Combination method parameter for defining the
+## frequency-weighted observability Grammian.
+## abs(alphao) <= 1.
+## If alphao = 0, the choice of
+## Grammian corresponds to the method of Enns [1], while if
+## alphao = 1, the choice of Grammian corresponds
+## to the method of Lin and Chiu [2,3].
+## Default value is 0.
+##
+## @item 'equil', 'scale'
+## Boolean indicating whether equilibration (scaling) should be
+## performed on system @var{G} prior to order reduction.
+## Default value is true if @code{G.scaled == false} and
+## false if @code{G.scaled == true}.
+## @end table
+##
+##
+## UNSTABLE (from bstmodred)
+##
+## MIMO (from bstmodred)
+##
+## Approximation Properties:
+## @itemize @bullet
+## @item
+## Guaranteed stability of reduced models
+## @item
+## Lower guaranteed error bound
+## @item
+## Guaranteed a priori error bound
+## @iftex
+## @tex
+## $$ \\sigma_{r+1} \\leq || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$
+## @end tex
+## @end iftex
+## @end itemize
+##
+##
+## @strong{References}@*
+## [1] Enns, D.
+## Model reduction with balanced realizations: An error bound
+## and a frequency weighted generalization.
+## Proc. 23-th CDC, Las Vegas, pp. 127-132, 1984.
+##
+## [2] Lin, C.-A. and Chiu, T.-Y.
+## Model reduction via frequency-weighted balanced realization.
+## Control Theory and Advanced Technology, vol. 8,
+## pp. 341-351, 1992.
+##
+## [3] Sreeram, V., Anderson, B.D.O and Madievski, A.G.
+## New results on frequency weighted balanced reduction
+## technique.
+## Proc. ACC, Seattle, Washington, pp. 4004-4009, 1995.
+##
+## [4] Varga, A. and Anderson, B.D.O.
+## Square-root balancing-free methods for the frequency-weighted
+## balancing related model reduction.
+## (report in preparation)
+##
+##
+## @strong{Algorithm}@*
+## Uses SLICOT AB09ID by courtesy of
+## @uref{http://www.slicot.org, NICONET e.V.}
+## @end deftypefn
+
+## Author: Lukas Reichlin <luk...@gm...>
+## Created: Januar 2012
+## Version: 0.1
+
+function [Gr, info] = balancmr (varargin)
+
+ persistent warned = false;
+ if (! warned)
+ warned = true;
+ warning ("control:wrapper",
+ "control: 'balancmr' is just a compatibility wrapper for 'btamodred'");
+ endif
+
+ [Gr, info] = btamodred (varargin{:});
+
+endfunction
+
+
+%!shared Mo, Me, Info, HSVe
+%! A = [ -26.4000, 6.4023, 4.3868;
+%! 32.0000, 0, 0;
+%! 0, 8.0000, 0 ];
+%!
+%! B = [ 16
+%! 0
+%! 0 ];
+%!
+%! C = [ 9.2994 1.1624 0.1090 ];
+%!
+%! D = [ 0 ];
+%!
+%! G = ss (A, B, C, D); % "scaled", false
+%!
+%! AV = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
+%! 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
+%! 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
+%! 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
+%! 0, 0, 0, 32.0000, 0, 0;
+%! 0, 0, 0, 0, 8.0000, 0 ];
+%!
+%! BV = [ 1
+%! 1
+%! 1
+%! 0
+%! 0
+%! 0 ];
+%!
+%! CV = [ 1 1 1 0 0 0 ];
+%!
+%! DV = [ 0 ];
+%!
+%! V = ss (AV, BV, CV, DV);
+%!
+%! [Gr, Info] = btamodred (G, 2, "left", V);
+%! [Ao, Bo, Co, Do] = ssdata (Gr);
+%!
+%! Ae = [ 9.1900 0.0000
+%! 0.0000 -34.5297 ];
+%!
+%! Be = [ 11.9593
+%! 16.9329 ];
+%!
+%! Ce = [ 2.8955 6.9152 ];
+%!
+%! De = [ 0.0000 ];
+%!
+%! HSVe = [ 3.8253 0.2005 ].';
+%!
+%! Mo = [Ao, Bo; Co, Do];
+%! Me = [Ae, Be; Ce, De];
+%!
+%!assert (Mo, Me, 1e-4);
+%!assert (Info.hsv, HSVe, 1e-4);
Added: trunk/octave-forge/extra/control-devel/devel/balred.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/balred.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/balred.m 2012-01-06 16:30:32 UTC (rev 9503)
@@ -0,0 +1,307 @@
+## Copyright (C) 2012 Lukas F. Reichlin
+##
+## This file is part of LTI Syncope.
+##
+## LTI Syncope is free software: you can redistribute it and/or modify
+## it under the terms of the GNU General Public License as published by
+## the Free Software Foundation, either version 3 of the License, or
+## (at your option) any later version.
+##
+## LTI Syncope is distributed in the hope that it will be useful,
+## but WITHOUT ANY WARRANTY; without even the implied warranty of
+## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+## GNU General Public License for more details.
+##
+## You should have received a copy of the GNU General Public License
+## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{opt}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @var{opt}, @dots{})
+##
+## Model order reduction by frequency weighted Balanced Truncation Approximation (BTA) method.
+## The aim of model reduction is to find an LTI system @var{Gr} of order
+## @var{nr} (nr < n) such that the input-output behaviour of @var{Gr}
+## approximates the one from original system @var{G}.
+##
+## BTA is an absolute error method which tries to minimize
+## @iftex
+## @tex
+## $$ || G - G_r ||_{\\infty} = min $$
+## $$ || V \\ (G - G_r) \\ W ||_{\\infty} = min $$
+## @end tex
+## @end iftex
+## @ifnottex
+## @example
+## ||G-Gr|| = min
+## inf
+##
+## ||V (G-Gr) W|| = min
+## inf
+## @end example
+## @end ifnottex
+## where @var{V} and @var{W} denote output and input weightings.
+##
+##
+## @strong{Inputs}
+## @table @var
+## @item G
+## LTI model to be reduced.
+## @item nr
+## The desired order of the resulting reduced order system @var{Gr}.
+## If not specified, @var{nr} is chosen automatically according
+## to the description of key @var{'order'}.
+## @item @dots{}
+## Optional pairs of keys and values. @code{"key1", value1, "key2", value2}.
+## @item opt
+## Optional struct with keys as field names.
+## Struct @var{opt} can be created directly or
+## by command @command{options}. @code{opt.key1 = value1, opt.key2 = value2}.
+## @end table
+##
+## @strong{Outputs}
+## @table @var
+## @item Gr
+## Reduced order state-space model.
+## @item info
+## Struct containing additional information.
+## @table @var
+## @item info.n
+## The order of the original system @var{G}.
+## @item info.ns
+## The order of the @var{alpha}-stable subsystem of the original system @var{G}.
+## @item info.hsv
+## The Hankel singular values of the @var{alpha}-stable part of
+## the original system @var{G}, ordered decreasingly.
+## @item info.nu
+## The order of the @var{alpha}-unstable subsystem of both the original
+## system @var{G} and the reduced-order system @var{Gr}.
+## @item info.nr
+## The order of the obtained reduced order system @var{Gr}.
+## @end table
+## @end table
+##
+##
+## @strong{Option Keys and Values}
+## @table @var
+## @item 'order', 'nr'
+## The desired order of the resulting reduced order system @var{Gr}.
+## If not specified, @var{nr} is chosen automatically such that states with
+## Hankel singular values @var{info.hsv} > @var{tol1} are retained.
+##
+## @item 'left', 'output'
+## LTI model of the left/output frequency weighting @var{V}.
+## Default value is an identity matrix.
+##
+## @item 'right', 'input'
+## LTI model of the right/input frequency weighting @var{W}.
+## Default value is an identity matrix.
+##
+## @item 'method'
+## Approximation method for the L-infinity norm to be used as follows:
+## @table @var
+## @item 'sr', 'b'
+## Use the square-root Balance & Truncate method.
+## @item 'bfsr', 'f'
+## Use the balancing-free square-root Balance & Truncate method. Default method.
+## @end table
+##
+## @item 'alpha'
+## Specifies the ALPHA-stability boundary for the eigenvalues
+## of the state dynamics matrix @var{G.A}. For a continuous-time
+## system, ALPHA <= 0 is the boundary value for
+## the real parts of eigenvalues, while for a discrete-time
+## system, 0 <= ALPHA <= 1 represents the
+## boundary value for the moduli of eigenvalues.
+## The ALPHA-stability domain does not include the boundary.
+## Default value is 0 for continuous-time systems and
+## 1 for discrete-time systems.
+##
+## @item 'tol1'
+## If @var{'order'} is not specified, @var{tol1} contains the tolerance for
+## determining the order of the reduced model.
+## For model reduction, the recommended value of @var{tol1} is
+## c*info.hsv(1), where c lies in the interval [0.00001, 0.001].
+## Default value is info.ns*eps*info.hsv(1).
+## If @var{'order'} is specified, the value of @var{tol1} is ignored.
+##
+## @item 'tol2'
+## The tolerance for determining the order of a minimal
+## realization of the ALPHA-stable part of the given
+## model. TOL2 <= TOL1.
+## If not specified, ns*eps*info.hsv(1) is chosen.
+##
+## @item 'gram-ctrb'
+## Specifies the choice of frequency-weighted controllability
+## Grammian as follows:
+## @table @var
+## @item 'standard'
+## Choice corresponding to a combination method [4]
+## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
+## @item 'enhanced'
+## Choice corresponding to the stability enhanced
+## modified combination method of [4].
+## @end table
+##
+## @item 'gram-obsv'
+## Specifies the choice of frequency-weighted observability
+## Grammian as follows:
+## @table @var
+## @item 'standard'
+## Choice corresponding to a combination method [4]
+## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
+## @item 'enhanced'
+## Choice corresponding to the stability enhanced
+## modified combination method of [4].
+## @end table
+##
+## @item 'alpha-ctrb'
+## Combination method parameter for defining the
+## frequency-weighted controllability Grammian.
+## abs(alphac) <= 1.
+## If alphac = 0, the choice of
+## Grammian corresponds to the method of Enns [1], while if
+## alphac = 1, the choice of Grammian corresponds
+## to the method of Lin and Chiu [2,3].
+## Default value is 0.
+##
+## @item 'alpha-obsv'
+## Combination method parameter for defining the
+## frequency-weighted observability Grammian.
+## abs(alphao) <= 1.
+## If alphao = 0, the choice of
+## Grammian corresponds to the method of Enns [1], while if
+## alphao = 1, the choice of Grammian corresponds
+## to the method of Lin and Chiu [2,3].
+## Default value is 0.
+##
+## @item 'equil', 'scale'
+## Boolean indicating whether equilibration (scaling) should be
+## performed on system @var{G} prior to order reduction.
+## Default value is true if @code{G.scaled == false} and
+## false if @code{G.scaled == true}.
+## @end table
+##
+##
+## UNSTABLE (from bstmodred)
+##
+## MIMO (from bstmodred)
+##
+## Approximation Properties:
+## @itemize @bullet
+## @item
+## Guaranteed stability of reduced models
+## @item
+## Lower guaranteed error bound
+## @item
+## Guaranteed a priori error bound
+## @iftex
+## @tex
+## $$ \\sigma_{r+1} \\leq || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$
+## @end tex
+## @end iftex
+## @end itemize
+##
+##
+## @strong{References}@*
+## [1] Enns, D.
+## Model reduction with balanced realizations: An error bound
+## and a frequency weighted generalization.
+## Proc. 23-th CDC, Las Vegas, pp. 127-132, 1984.
+##
+## [2] Lin, C.-A. and Chiu, T.-Y.
+## Model reduction via frequency-weighted balanced realization.
+## Control Theory and Advanced Technology, vol. 8,
+## pp. 341-351, 1992.
+##
+## [3] Sreeram, V., Anderson, B.D.O and Madievski, A.G.
+## New results on frequency weighted balanced reduction
+## technique.
+## Proc. ACC, Seattle, Washington, pp. 4004-4009, 1995.
+##
+## [4] Varga, A. and Anderson, B.D.O.
+## Square-root balancing-free methods for the frequency-weighted
+## balancing related model reduction.
+## (report in preparation)
+##
+##
+## @strong{Algorithm}@*
+## Uses SLICOT AB09ID by courtesy of
+## @uref{http://www.slicot.org, NICONET e.V.}
+## @end deftypefn
+
+## Author: Lukas Reichlin <luk...@gm...>
+## Created: Januar 2012
+## Version: 0.1
+
+function [Gr, info] = balred (varargin)
+
+ persistent warned = false;
+ if (! warned)
+ warned = true;
+ warning ("control:wrapper",
+ "control: 'balred' is just a compatibility wrapper for 'spamodred'");
+ endif
+
+ [Gr, info] = spamodred (varargin{:});
+
+endfunction
+
+
+%!shared Mo, Me, Info, HSVe
+%! A = [ -26.4000, 6.4023, 4.3868;
+%! 32.0000, 0, 0;
+%! 0, 8.0000, 0 ];
+%!
+%! B = [ 16
+%! 0
+%! 0 ];
+%!
+%! C = [ 9.2994 1.1624 0.1090 ];
+%!
+%! D = [ 0 ];
+%!
+%! G = ss (A, B, C, D); % "scaled", false
+%!
+%! AV = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
+%! 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
+%! 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
+%! 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
+%! 0, 0, 0, 32.0000, 0, 0;
+%! 0, 0, 0, 0, 8.0000, 0 ];
+%!
+%! BV = [ 1
+%! 1
+%! 1
+%! 0
+%! 0
+%! 0 ];
+%!
+%! CV = [ 1 1 1 0 0 0 ];
+%!
+%! DV = [ 0 ];
+%!
+%! V = ss (AV, BV, CV, DV);
+%!
+%! [Gr, Info] = btamodred (G, 2, "left", V);
+%! [Ao, Bo, Co, Do] = ssdata (Gr);
+%!
+%! Ae = [ 9.1900 0.0000
+%! 0.0000 -34.5297 ];
+%!
+%! Be = [ 11.9593
+%! 16.9329 ];
+%!
+%! Ce = [ 2.8955 6.9152 ];
+%!
+%! De = [ 0.0000 ];
+%!
+%! HSVe = [ 3.8253 0.2005 ].';
+%!
+%! Mo = [Ao, Bo; Co, Do];
+%! Me = [Ae, Be; Ce, De];
+%!
+%!assert (Mo, Me, 1e-4);
+%!assert (Info.hsv, HSVe, 1e-4);
Added: trunk/octave-forge/extra/control-devel/devel/bstmr.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/bstmr.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/bstmr.m 2012-01-06 16:30:32 UTC (rev 9503)
@@ -0,0 +1,307 @@
+## Copyright (C) 2012 Lukas F. Reichlin
+##
+## This file is part of LTI Syncope.
+##
+## LTI Syncope is free software: you can redistribute it and/or modify
+## it under the terms of the GNU General Public License as published by
+## the Free Software Foundation, either version 3 of the License, or
+## (at your option) any later version.
+##
+## LTI Syncope is distributed in the hope that it will be useful,
+## but WITHOUT ANY WARRANTY; without even the implied warranty of
+## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+## GNU General Public License for more details.
+##
+## You should have received a copy of the GNU General Public License
+## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{opt}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @var{opt}, @dots{})
+##
+## Model order reduction by frequency weighted Balanced Truncation Approximation (BTA) method.
+## The aim of model reduction is to find an LTI system @var{Gr} of order
+## @var{nr} (nr < n) such that the input-output behaviour of @var{Gr}
+## approximates the one from original system @var{G}.
+##
+## BTA is an absolute error method which tries to minimize
+## @iftex
+## @tex
+## $$ || G - G_r ||_{\\infty} = min $$
+## $$ || V \\ (G - G_r) \\ W ||_{\\infty} = min $$
+## @end tex
+## @end iftex
+## @ifnottex
+## @example
+## ||G-Gr|| = min
+## inf
+##
+## ||V (G-Gr) W|| = min
+## inf
+## @end example
+## @end ifnottex
+## where @var{V} and @var{W} denote output and input weightings.
+##
+##
+## @strong{Inputs}
+## @table @var
+## @item G
+## LTI model to be reduced.
+## @item nr
+## The desired order of the resulting reduced order system @var{Gr}.
+## If not specified, @var{nr} is chosen automatically according
+## to the description of key @var{'order'}.
+## @item @dots{}
+## Optional pairs of keys and values. @code{"key1", value1, "key2", value2}.
+## @item opt
+## Optional struct with keys as field names.
+## Struct @var{opt} can be created directly or
+## by command @command{options}. @code{opt.key1 = value1, opt.key2 = value2}.
+## @end table
+##
+## @strong{Outputs}
+## @table @var
+## @item Gr
+## Reduced order state-space model.
+## @item info
+## Struct containing additional information.
+## @table @var
+## @item info.n
+## The order of the original system @var{G}.
+## @item info.ns
+## The order of the @var{alpha}-stable subsystem of the original system @var{G}.
+## @item info.hsv
+## The Hankel singular values of the @var{alpha}-stable part of
+## the original system @var{G}, ordered decreasingly.
+## @item info.nu
+## The order of the @var{alpha}-unstable subsystem of both the original
+## system @var{G} and the reduced-order system @var{Gr}.
+## @item info.nr
+## The order of the obtained reduced order system @var{Gr}.
+## @end table
+## @end table
+##
+##
+## @strong{Option Keys and Values}
+## @table @var
+## @item 'order', 'nr'
+## The desired order of the resulting reduced order system @var{Gr}.
+## If not specified, @var{nr} is chosen automatically such that states with
+## Hankel singular values @var{info.hsv} > @var{tol1} are retained.
+##
+## @item 'left', 'output'
+## LTI model of the left/output frequency weighting @var{V}.
+## Default value is an identity matrix.
+##
+## @item 'right', 'input'
+## LTI model of the right/input frequency weighting @var{W}.
+## Default value is an identity matrix.
+##
+## @item 'method'
+## Approximation method for the L-infinity norm to be used as follows:
+## @table @var
+## @item 'sr', 'b'
+## Use the square-root Balance & Truncate method.
+## @item 'bfsr', 'f'
+## Use the balancing-free square-root Balance & Truncate method. Default method.
+## @end table
+##
+## @item 'alpha'
+## Specifies the ALPHA-stability boundary for the eigenvalues
+## of the state dynamics matrix @var{G.A}. For a continuous-time
+## system, ALPHA <= 0 is the boundary value for
+## the real parts of eigenvalues, while for a discrete-time
+## system, 0 <= ALPHA <= 1 represents the
+## boundary value for the moduli of eigenvalues.
+## The ALPHA-stability domain does not include the boundary.
+## Default value is 0 for continuous-time systems and
+## 1 for discrete-time systems.
+##
+## @item 'tol1'
+## If @var{'order'} is not specified, @var{tol1} contains the tolerance for
+## determining the order of the reduced model.
+## For model reduction, the recommended value of @var{tol1} is
+## c*info.hsv(1), where c lies in the interval [0.00001, 0.001].
+## Default value is info.ns*eps*info.hsv(1).
+## If @var{'order'} is specified, the value of @var{tol1} is ignored.
+##
+## @item 'tol2'
+## The tolerance for determining the order of a minimal
+## realization of the ALPHA-stable part of the given
+## model. TOL2 <= TOL1.
+## If not specified, ns*eps*info.hsv(1) is chosen.
+##
+## @item 'gram-ctrb'
+## Specifies the choice of frequency-weighted controllability
+## Grammian as follows:
+## @table @var
+## @item 'standard'
+## Choice corresponding to a combination method [4]
+## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
+## @item 'enhanced'
+## Choice corresponding to the stability enhanced
+## modified combination method of [4].
+## @end table
+##
+## @item 'gram-obsv'
+## Specifies the choice of frequency-weighted observability
+## Grammian as follows:
+## @table @var
+## @item 'standard'
+## Choice corresponding to a combination method [4]
+## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
+## @item 'enhanced'
+## Choice corresponding to the stability enhanced
+## modified combination method of [4].
+## @end table
+##
+## @item 'alpha-ctrb'
+## Combination method parameter for defining the
+## frequency-weighted controllability Grammian.
+## abs(alphac) <= 1.
+## If alphac = 0, the choice of
+## Grammian corresponds to the method of Enns [1], while if
+## alphac = 1, the choice of Grammian corresponds
+## to the method of Lin and Chiu [2,3].
+## Default value is 0.
+##
+## @item 'alpha-obsv'
+## Combination method parameter for defining the
+## frequency-weighted observability Grammian.
+## abs(alphao) <= 1.
+## If alphao = 0, the choice of
+## Grammian corresponds to the method of Enns [1], while if
+## alphao = 1, the choice of Grammian corresponds
+## to the method of Lin and Chiu [2,3].
+## Default value is 0.
+##
+## @item 'equil', 'scale'
+## Boolean indicating whether equilibration (scaling) should be
+## performed on system @var{G} prior to order reduction.
+## Default value is true if @code{G.scaled == false} and
+## false if @code{G.scaled == true}.
+## @end table
+##
+##
+## UNSTABLE (from bstmodred)
+##
+## MIMO (from bstmodred)
+##
+## Approximation Properties:
+## @itemize @bullet
+## @item
+## Guaranteed stability of reduced models
+## @item
+## Lower guaranteed error bound
+## @item
+## Guaranteed a priori error bound
+## @iftex
+## @tex
+## $$ \\sigma_{r+1} \\leq || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$
+## @end tex
+## @end iftex
+## @end itemize
+##
+##
+## @strong{References}@*
+## [1] Enns, D.
+## Model reduction with balanced realizations: An error bound
+## and a frequency weighted generalization.
+## Proc. 23-th CDC, Las Vegas, pp. 127-132, 1984.
+##
+## [2] Lin, C.-A. and Chiu, T.-Y.
+## Model reduction via frequency-weighted balanced realization.
+## Control Theory and Advanced Technology, vol. 8,
+## pp. 341-351, 1992.
+##
+## [3] Sreeram, V., Anderson, B.D.O and Madievski, A.G.
+## New results on frequency weighted balanced reduction
+## technique.
+## Proc. ACC, Seattle, Washington, pp. 4004-4009, 1995.
+##
+## [4] Varga, A. and Anderson, B.D.O.
+## Square-root balancing-free methods for the frequency-weighted
+## balancing related model reduction.
+## (report in preparation)
+##
+##
+## @strong{Algorithm}@*
+## Uses SLICOT AB09ID by courtesy of
+## @uref{http://www.slicot.org, NICONET e.V.}
+## @end deftypefn
+
+## Author: Lukas Reichlin <luk...@gm...>
+## Created: Januar 2012
+## Version: 0.1
+
+function [Gr, info] = bstmr (varargin)
+
+ persistent warned = false;
+ if (! warned)
+ warned = true;
+ warning ("control:wrapper",
+ "control: 'bstmr' is just a compatibility wrapper for 'bstmodred'");
+ endif
+
+ [Gr, info] = bstmodred (varargin{:});
+
+endfunction
+
+
+%!shared Mo, Me, Info, HSVe
+%! A = [ -26.4000, 6.4023, 4.3868;
+%! 32.0000, 0, 0;
+%! 0, 8.0000, 0 ];
+%!
+%! B = [ 16
+%! 0
+%! 0 ];
+%!
+%! C = [ 9.2994 1.1624 0.1090 ];
+%!
+%! D = [ 0 ];
+%!
+%! G = ss (A, B, C, D); % "scaled", false
+%!
+%! AV = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
+%! 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
+%! 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
+%! 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
+%! 0, 0, 0, 32.0000, 0, 0;
+%! 0, 0, 0, 0, 8.0000, 0 ];
+%!
+%! BV = [ 1
+%! 1
+%! 1
+%! 0
+%! 0
+%! 0 ];
+%!
+%! CV = [ 1 1 1 0 0 0 ];
+%!
+%! DV = [ 0 ];
+%!
+%! V = ss (AV, BV, CV, DV);
+%!
+%! [Gr, Info] = btamodred (G, 2, "left", V);
+%! [Ao, Bo, Co, Do] = ssdata (Gr);
+%!
+%! Ae = [ 9.1900 0.0000
+%! 0.0000 -34.5297 ];
+%!
+%! Be = [ 11.9593
+%! 16.9329 ];
+%!
+%! Ce = [ 2.8955 6.9152 ];
+%!
+%! De = [ 0.0000 ];
+%!
+%! HSVe = [ 3.8253 0.2005 ].';
+%!
+%! Mo = [Ao, Bo; Co, Do];
+%! Me = [Ae, Be; Ce, De];
+%!
+%!assert (Mo, Me, 1e-4);
+%!assert (Info.hsv, HSVe, 1e-4);
Added: trunk/octave-forge/extra/control-devel/devel/hankelmr.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/hankelmr.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/hankelmr.m 2012-01-06 16:30:32 UTC (rev 9503)
@@ -0,0 +1,307 @@
+## Copyright (C) 2012 Lukas F. Reichlin
+##
+## This file is part of LTI Syncope.
+##
+## LTI Syncope is free software: you can redistribute it and/or modify
+## it under the terms of the GNU General Public License as published by
+## the Free Software Foundation, either version 3 of the License, or
+## (at your option) any later version.
+##
+## LTI Syncope is distributed in the hope that it will be useful,
+## but WITHOUT ANY WARRANTY; without even the implied warranty of
+## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+## GNU General Public License for more details.
+##
+## You should have received a copy of the GNU General Public License
+## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{opt}, @dots{})
+## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @var{opt}, @dots{})
+##
+## Model order reduction by frequency weighted Balanced Truncation Approximation (BTA) method.
+## The aim of model reduction is to find an LTI system @var{Gr} of order
+## @var{nr} (nr < n) such that the input-output behaviour of @var{Gr}
+## approximates the one from original system @var{G}.
+##
+## BTA is an absolute error method which tries to minimize
+## @iftex
+## @tex
+## $$ || G - G_r ||_{\\infty} = min $$
+## $$ || V \\ (G - G_r) \\ W ||_{\\infty} = min $$
+## @end tex
+## @end iftex
+## @ifnottex
+## @example
+## ||G-Gr|| = min
+## inf
+##
+## ||V (G-Gr) W|| = min
+## inf
+## @end example
+## @end ifnottex
+## where @var{V} and @var{W} denote output and input weightings.
+##
+##
+## @strong{Inputs}
+## @table @var
+## @item G
+## LTI model to be reduced.
+## @item nr
+## The desired order of the resulting reduced order system @var{Gr}.
+## If not specified, @var{nr} is chosen automatically according
+## to the description of key @var{'order'}.
+## @item @dots{}
+## Optional pairs of keys and values. @code{"key1", value1, "key2", value2}.
+## @item opt
+## Optional struct with keys as field names.
+## Struct @var{opt} can be created directly or
+## by command @command{options}. @code{opt.key1 = value1, opt.key2 = value2}.
+## @end table
+##
+## @strong{Outputs}
+## @table @var
+## @item Gr
+## Reduced order state-space model.
+## @item info
+## Struct containing additional information.
+## @table @var
+## @item info.n
+## The order of the original system @var{G}.
+## @item info.ns
+## The order of the @var{alpha}-stable subsystem of the original system @var{G}.
+## @item info.hsv
+## The Hankel singular values of the @var{alpha}-stable part of
+## the original system @var{G}, ordered decreasingly.
+## @item info.nu
+## The order of the @var{alpha}-unstable subsystem of both the original
+## system @var{G} and the reduced-order system @var{Gr}.
+## @item info.nr
+## The order of the obtained reduced order system @var{Gr}.
+## @end table
+## @end table
+##
+##
+## @strong{Option Keys and Values}
+## @table @var
+## @item 'order', 'nr'
+## The desired order of the resulting reduced order system @var{Gr}.
+## If not specified, @var{nr} is chosen automatically such that states with
+## Hankel singular values @var{info.hsv} > @var{tol1} are retained.
+##
+## @item 'left', 'output'
+## LTI model of the left/output frequency weighting @var{V}.
+## Default value is an identity matrix.
+##
+## @item 'right', 'input'
+## LTI model of the right/input frequency weighting @var{W}.
+## Default value is an identity matrix.
+##
+## @item 'method'
+## Approximation method for the L-infinity norm to be used as follows:
+## @table @var
+## @item 'sr', 'b'
+## Use the square-root Balance & Truncate method.
+## @item 'bfsr', 'f'
+## Use the balancing-free square-root Balance & Truncate method. Default method.
+## @end table
+##
+## @item 'alpha'
+## Specifies the ALPHA-stability boundary for the eigenvalues
+## of the state dynamics matrix @var{G.A}. For a continuous-time
+## system, ALPHA <= 0 is the boundary value for
+## the real parts of eigenvalues, while for a discrete-time
+## system, 0 <= ALPHA <= 1 represents the
+## boundary value for the moduli of eigenvalues.
+## The ALPHA-stability domain does not include the boundary.
+## Default value is 0 for continuous-time systems and
+## 1 for discrete-time systems.
+##
+## @item 'tol1'
+## If @var{'order'} is not specified, @var{tol1} contains the tolerance for
+## determining the order of the reduced model.
+## For model reduction, the recommended value of @var{tol1} is
+## c*info.hsv(1), where c lies in the interval [0.00001, 0.001].
+## Default value is info.ns*eps*info.hsv(1).
+## If @var{'order'} is specified, the value of @var{tol1} is ignored.
+##
+## @item 'tol2'
+## The tolerance for determining the order of a minimal
+## realization of the ALPHA-stable part of the given
+## model. TOL2 <= TOL1.
+## If not specified, ns*eps*info.hsv(1) is chosen.
+##
+## @item 'gram-ctrb'
+## Specifies the choice of frequency-weighted controllability
+## Grammian as follows:
+## @table @var
+## @item 'standard'
+## Choice corresponding to a combination method [4]
+## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
+## @item 'enhanced'
+## Choice corresponding to the stability enhanced
+## modified combination method of [4].
+## @end table
+##
+## @item 'gram-obsv'
+## Specifies the choice of frequency-weighted observability
+## Grammian as follows:
+## @table @var
+## @item 'standard'
+## Choice corresponding to a combination method [4]
+## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
+## @item 'enhanced'
+## Choice corresponding to the stability enhanced
+## modified combination method of [4].
+## @end table
+##
+## @item 'alpha-ctrb'
+## Combination method parameter for defining the
+## frequency-weighted controllability Grammian.
+## abs(alphac) <= 1.
+## If alphac = 0, the choice of
+## Grammian corresponds to the method of Enns [1], while if
+## alphac = 1, the choice of Grammian corresponds
+## to the method of Lin and Chiu [2,3].
+## Default value is 0.
+##
+## @item 'alpha-obsv'
+## Combination method parameter for defining the
+## frequency-weighted observability Grammian.
+## abs(alphao) <= 1.
+## If alphao = 0, the choice of
+## Grammian corresponds to the method of Enns [1], while if
+## alphao = 1, the choice of Grammian corresponds
+## to the method of Lin and Chiu [2,3].
+## Default value is 0.
+##
+## @item 'equil', 'scale'
+## Boolean indicating whether equilibration (scaling) should be
+## performed on system @var{G} prior to order reduction.
+## Default value is true if @code{G.scaled == false} and
+## false if @code{G.scaled == true}.
+## @end table
+##
+##
+## UNSTABLE (from bstmodred)
+##
+## MIMO (from bstmodred)
+##
+## Approximation Properties:
+## @itemize @bullet
+## @item
+## Guaranteed stability of reduced models
+## @item
+## Lower guaranteed error bound
+## @item
+## Guaranteed a priori error bound
+## @iftex
+## @tex
+## $$ \\sigma_{r+1} \\leq || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$
+## @end tex
+## @end iftex
+## @end itemize
+##
+##
+## @strong{References}@*
+## [1] Enns, D.
+## Model reduction with balanced realizations: An error bound
+## and a frequency weighted generalization.
+## Proc. 23-th CDC, Las Vegas, pp. 127-132, 1984.
+##
+## [2] Lin, C.-A. and Chiu, T.-Y.
+## Model reduction via frequency-weighted balanced realization.
+## Control Theory and Advanced Technology, vol. 8,
+## pp. 341-351, 1992.
+##
+## [3] Sreeram, V., Anderson, B.D.O and Madievski, A.G.
+## New results on frequency weighted balanced reduction
+## technique.
+## Proc. ACC, Seattle, Washington, pp. 4004-4009, 1995.
+##
+## [4] Varga, A. and Anderson, B.D.O.
+## Square-root balancing-free methods for the frequency-weighted
+## balancing related model reduction.
+## (report in preparation)
+##
+##
+## @strong{Algorithm}@*
+## Uses SLICOT AB09ID by courtesy of
+## @uref{http://www.slicot.org, NICONET e.V.}
+## @end deftypefn
+
+## Author: Lukas Reichlin <luk...@gm...>
+## Created: Januar 2012
+## Version: 0.1
+
+function [Gr, info] = hankelmr (varargin)
+
+ persistent warned = false;
+ if (! warned)
+ warned = true;
+ warning ("control:wrapper",
+ "control: 'hankelmr' is just a compatibility wrapper for 'hnamodred'");
+ endif
+
+ [Gr, info] = hnamodred (varargin{:});
+
+endfunction
+
+
+%!shared Mo, Me, Info, HSVe
+%! A = [ -26.4000, 6.4023, 4.3868;
+%! 32.0000, 0, 0;
+%! 0, 8.0000, 0 ];
+%!
+%! B = [ 16
+%! 0
+%! 0 ];
+%!
+%! C = [ 9.2994 1.1624 0.1090 ];
+%!
+%! D = [ 0 ];
+%!
+%! G = ss (A, B, C, D); % "scaled", false
+%!
+%! AV = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
+%! 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
+%! 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
+%! 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
+%! 0, 0, 0, 32.0000, 0, 0;
+%! 0, 0, 0, 0, 8.0000, 0 ];
+%!
+%! BV = [ 1
+%! 1
+%! 1
+%! 0
+%! 0
+%! 0 ];
+%!
+%! CV = [ 1 1 1 0 0 0 ];
+%!
+%! DV = [ 0 ];
+%!
+%! V = ss (AV, BV, CV, DV);
+%!
+%! [Gr, Info] = btamodred (G, 2, "left", V);
+%! [Ao, Bo, Co, Do] = ssdata (Gr);
+%!
+%! Ae = [ 9.1900 0.0000
+%! 0.0000 -34.5297 ];
+%!
+%! Be = [ 11.9593
+%! 16.9329 ];
+%!
+%! Ce = [ 2.8955 6.9152 ];
+%!
+%! De = [ 0.0000 ];
+%!
+%! HSVe = [ 3.8253 0.2005 ].';
+%!
+%! Mo = [Ao, Bo; Co, Do];
+%! Me = [Ae, Be; Ce, De];
+%!
+%!assert (Mo, Me, 1e-4);
+%!assert (Info.hsv, HSVe, 1e-4);
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-01-18 20:29:17
|
Revision: 9539
http://octave.svn.sourceforge.net/octave/?rev=9539&view=rev
Author: paramaniac
Date: 2012-01-18 20:29:08 +0000 (Wed, 18 Jan 2012)
Log Message:
-----------
control-devel: fix wrappers
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/balancmr.m
trunk/octave-forge/extra/control-devel/devel/balred.m
trunk/octave-forge/extra/control-devel/devel/bstmr.m
trunk/octave-forge/extra/control-devel/devel/hankelmr.m
trunk/octave-forge/extra/control-devel/devel/madievski.m
Modified: trunk/octave-forge/extra/control-devel/devel/balancmr.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/balancmr.m 2012-01-18 19:25:54 UTC (rev 9538)
+++ trunk/octave-forge/extra/control-devel/devel/balancmr.m 2012-01-18 20:29:08 UTC (rev 9539)
@@ -16,224 +16,12 @@
## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
-## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{opt}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @var{opt}, @dots{})
-##
-## Model order reduction by frequency weighted Balanced Truncation Approximation (BTA) method.
-## The aim of model reduction is to find an LTI system @var{Gr} of order
-## @var{nr} (nr < n) such that the input-output behaviour of @var{Gr}
-## approximates the one from original system @var{G}.
-##
-## BTA is an absolute error method which tries to minimize
-## @iftex
-## @tex
-## $$ || G - G_r ||_{\\infty} = min $$
-## $$ || V \\ (G - G_r) \\ W ||_{\\infty} = min $$
-## @end tex
-## @end iftex
-## @ifnottex
-## @example
-## ||G-Gr|| = min
-## inf
-##
-## ||V (G-Gr) W|| = min
-## inf
-## @end example
-## @end ifnottex
-## where @var{V} and @var{W} denote output and input weightings.
-##
-##
-## @strong{Inputs}
-## @table @var
-## @item G
-## LTI model to be reduced.
-## @item nr
-## The desired order of the resulting reduced order system @var{Gr}.
-## If not specified, @var{nr} is chosen automatically according
-## to the description of key @var{'order'}.
-## @item @dots{}
-## Optional pairs of keys and values. @code{"key1", value1, "key2", value2}.
-## @item opt
-## Optional struct with keys as field names.
-## Struct @var{opt} can be created directly or
-## by command @command{options}. @code{opt.key1 = value1, opt.key2 = value2}.
-## @end table
-##
-## @strong{Outputs}
-## @table @var
-## @item Gr
-## Reduced order state-space model.
-## @item info
-## Struct containing additional information.
-## @table @var
-## @item info.n
-## The order of the original system @var{G}.
-## @item info.ns
-## The order of the @var{alpha}-stable subsystem of the original system @var{G}.
-## @item info.hsv
-## The Hankel singular values of the @var{alpha}-stable part of
-## the original system @var{G}, ordered decreasingly.
-## @item info.nu
-## The order of the @var{alpha}-unstable subsystem of both the original
-## system @var{G} and the reduced-order system @var{Gr}.
-## @item info.nr
-## The order of the obtained reduced order system @var{Gr}.
-## @end table
-## @end table
-##
-##
-## @strong{Option Keys and Values}
-## @table @var
-## @item 'order', 'nr'
-## The desired order of the resulting reduced order system @var{Gr}.
-## If not specified, @var{nr} is chosen automatically such that states with
-## Hankel singular values @var{info.hsv} > @var{tol1} are retained.
-##
-## @item 'left', 'output'
-## LTI model of the left/output frequency weighting @var{V}.
-## Default value is an identity matrix.
-##
-## @item 'right', 'input'
-## LTI model of the right/input frequency weighting @var{W}.
-## Default value is an identity matrix.
-##
-## @item 'method'
-## Approximation method for the L-infinity norm to be used as follows:
-## @table @var
-## @item 'sr', 'b'
-## Use the square-root Balance & Truncate method.
-## @item 'bfsr', 'f'
-## Use the balancing-free square-root Balance & Truncate method. Default method.
-## @end table
-##
-## @item 'alpha'
-## Specifies the ALPHA-stability boundary for the eigenvalues
-## of the state dynamics matrix @var{G.A}. For a continuous-time
-## system, ALPHA <= 0 is the boundary value for
-## the real parts of eigenvalues, while for a discrete-time
-## system, 0 <= ALPHA <= 1 represents the
-## boundary value for the moduli of eigenvalues.
-## The ALPHA-stability domain does not include the boundary.
-## Default value is 0 for continuous-time systems and
-## 1 for discrete-time systems.
-##
-## @item 'tol1'
-## If @var{'order'} is not specified, @var{tol1} contains the tolerance for
-## determining the order of the reduced model.
-## For model reduction, the recommended value of @var{tol1} is
-## c*info.hsv(1), where c lies in the interval [0.00001, 0.001].
-## Default value is info.ns*eps*info.hsv(1).
-## If @var{'order'} is specified, the value of @var{tol1} is ignored.
-##
-## @item 'tol2'
-## The tolerance for determining the order of a minimal
-## realization of the ALPHA-stable part of the given
-## model. TOL2 <= TOL1.
-## If not specified, ns*eps*info.hsv(1) is chosen.
-##
-## @item 'gram-ctrb'
-## Specifies the choice of frequency-weighted controllability
-## Grammian as follows:
-## @table @var
-## @item 'standard'
-## Choice corresponding to a combination method [4]
-## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
-## @item 'enhanced'
-## Choice corresponding to the stability enhanced
-## modified combination method of [4].
-## @end table
-##
-## @item 'gram-obsv'
-## Specifies the choice of frequency-weighted observability
-## Grammian as follows:
-## @table @var
-## @item 'standard'
-## Choice corresponding to a combination method [4]
-## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
-## @item 'enhanced'
-## Choice corresponding to the stability enhanced
-## modified combination method of [4].
-## @end table
-##
-## @item 'alpha-ctrb'
-## Combination method parameter for defining the
-## frequency-weighted controllability Grammian.
-## abs(alphac) <= 1.
-## If alphac = 0, the choice of
-## Grammian corresponds to the method of Enns [1], while if
-## alphac = 1, the choice of Grammian corresponds
-## to the method of Lin and Chiu [2,3].
-## Default value is 0.
-##
-## @item 'alpha-obsv'
-## Combination method parameter for defining the
-## frequency-weighted observability Grammian.
-## abs(alphao) <= 1.
-## If alphao = 0, the choice of
-## Grammian corresponds to the method of Enns [1], while if
-## alphao = 1, the choice of Grammian corresponds
-## to the method of Lin and Chiu [2,3].
-## Default value is 0.
-##
-## @item 'equil', 'scale'
-## Boolean indicating whether equilibration (scaling) should be
-## performed on system @var{G} prior to order reduction.
-## Default value is true if @code{G.scaled == false} and
-## false if @code{G.scaled == true}.
-## @end table
-##
-##
-## UNSTABLE (from bstmodred)
-##
-## MIMO (from bstmodred)
-##
-## Approximation Properties:
-## @itemize @bullet
-## @item
-## Guaranteed stability of reduced models
-## @item
-## Lower guaranteed error bound
-## @item
-## Guaranteed a priori error bound
-## @iftex
-## @tex
-## $$ \\sigma_{r+1} \\leq || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$
-## @end tex
-## @end iftex
-## @end itemize
-##
-##
-## @strong{References}@*
-## [1] Enns, D.
-## Model reduction with balanced realizations: An error bound
-## and a frequency weighted generalization.
-## Proc. 23-th CDC, Las Vegas, pp. 127-132, 1984.
-##
-## [2] Lin, C.-A. and Chiu, T.-Y.
-## Model reduction via frequency-weighted balanced realization.
-## Control Theory and Advanced Technology, vol. 8,
-## pp. 341-351, 1992.
-##
-## [3] Sreeram, V., Anderson, B.D.O and Madievski, A.G.
-## New results on frequency weighted balanced reduction
-## technique.
-## Proc. ACC, Seattle, Washington, pp. 4004-4009, 1995.
-##
-## [4] Varga, A. and Anderson, B.D.O.
-## Square-root balancing-free methods for the frequency-weighted
-## balancing related model reduction.
-## (report in preparation)
-##
-##
-## @strong{Algorithm}@*
-## Uses SLICOT AB09ID by courtesy of
-## @uref{http://www.slicot.org, NICONET e.V.}
+## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} balancmr (@var{G}, @dots{})
+## Wrapper for @command{btamodred}.
## @end deftypefn
## Author: Lukas Reichlin <luk...@gm...>
-## Created: Januar 2012
+## Created: January 2012
## Version: 0.1
function [Gr, info] = balancmr (varargin)
@@ -248,60 +36,3 @@
[Gr, info] = btamodred (varargin{:});
endfunction
-
-
-%!shared Mo, Me, Info, HSVe
-%! A = [ -26.4000, 6.4023, 4.3868;
-%! 32.0000, 0, 0;
-%! 0, 8.0000, 0 ];
-%!
-%! B = [ 16
-%! 0
-%! 0 ];
-%!
-%! C = [ 9.2994 1.1624 0.1090 ];
-%!
-%! D = [ 0 ];
-%!
-%! G = ss (A, B, C, D); % "scaled", false
-%!
-%! AV = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
-%! 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
-%! 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
-%! 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
-%! 0, 0, 0, 32.0000, 0, 0;
-%! 0, 0, 0, 0, 8.0000, 0 ];
-%!
-%! BV = [ 1
-%! 1
-%! 1
-%! 0
-%! 0
-%! 0 ];
-%!
-%! CV = [ 1 1 1 0 0 0 ];
-%!
-%! DV = [ 0 ];
-%!
-%! V = ss (AV, BV, CV, DV);
-%!
-%! [Gr, Info] = btamodred (G, 2, "left", V);
-%! [Ao, Bo, Co, Do] = ssdata (Gr);
-%!
-%! Ae = [ 9.1900 0.0000
-%! 0.0000 -34.5297 ];
-%!
-%! Be = [ 11.9593
-%! 16.9329 ];
-%!
-%! Ce = [ 2.8955 6.9152 ];
-%!
-%! De = [ 0.0000 ];
-%!
-%! HSVe = [ 3.8253 0.2005 ].';
-%!
-%! Mo = [Ao, Bo; Co, Do];
-%! Me = [Ae, Be; Ce, De];
-%!
-%!assert (Mo, Me, 1e-4);
-%!assert (Info.hsv, HSVe, 1e-4);
Modified: trunk/octave-forge/extra/control-devel/devel/balred.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/balred.m 2012-01-18 19:25:54 UTC (rev 9538)
+++ trunk/octave-forge/extra/control-devel/devel/balred.m 2012-01-18 20:29:08 UTC (rev 9539)
@@ -16,224 +16,12 @@
## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
-## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{opt}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @var{opt}, @dots{})
-##
-## Model order reduction by frequency weighted Balanced Truncation Approximation (BTA) method.
-## The aim of model reduction is to find an LTI system @var{Gr} of order
-## @var{nr} (nr < n) such that the input-output behaviour of @var{Gr}
-## approximates the one from original system @var{G}.
-##
-## BTA is an absolute error method which tries to minimize
-## @iftex
-## @tex
-## $$ || G - G_r ||_{\\infty} = min $$
-## $$ || V \\ (G - G_r) \\ W ||_{\\infty} = min $$
-## @end tex
-## @end iftex
-## @ifnottex
-## @example
-## ||G-Gr|| = min
-## inf
-##
-## ||V (G-Gr) W|| = min
-## inf
-## @end example
-## @end ifnottex
-## where @var{V} and @var{W} denote output and input weightings.
-##
-##
-## @strong{Inputs}
-## @table @var
-## @item G
-## LTI model to be reduced.
-## @item nr
-## The desired order of the resulting reduced order system @var{Gr}.
-## If not specified, @var{nr} is chosen automatically according
-## to the description of key @var{'order'}.
-## @item @dots{}
-## Optional pairs of keys and values. @code{"key1", value1, "key2", value2}.
-## @item opt
-## Optional struct with keys as field names.
-## Struct @var{opt} can be created directly or
-## by command @command{options}. @code{opt.key1 = value1, opt.key2 = value2}.
-## @end table
-##
-## @strong{Outputs}
-## @table @var
-## @item Gr
-## Reduced order state-space model.
-## @item info
-## Struct containing additional information.
-## @table @var
-## @item info.n
-## The order of the original system @var{G}.
-## @item info.ns
-## The order of the @var{alpha}-stable subsystem of the original system @var{G}.
-## @item info.hsv
-## The Hankel singular values of the @var{alpha}-stable part of
-## the original system @var{G}, ordered decreasingly.
-## @item info.nu
-## The order of the @var{alpha}-unstable subsystem of both the original
-## system @var{G} and the reduced-order system @var{Gr}.
-## @item info.nr
-## The order of the obtained reduced order system @var{Gr}.
-## @end table
-## @end table
-##
-##
-## @strong{Option Keys and Values}
-## @table @var
-## @item 'order', 'nr'
-## The desired order of the resulting reduced order system @var{Gr}.
-## If not specified, @var{nr} is chosen automatically such that states with
-## Hankel singular values @var{info.hsv} > @var{tol1} are retained.
-##
-## @item 'left', 'output'
-## LTI model of the left/output frequency weighting @var{V}.
-## Default value is an identity matrix.
-##
-## @item 'right', 'input'
-## LTI model of the right/input frequency weighting @var{W}.
-## Default value is an identity matrix.
-##
-## @item 'method'
-## Approximation method for the L-infinity norm to be used as follows:
-## @table @var
-## @item 'sr', 'b'
-## Use the square-root Balance & Truncate method.
-## @item 'bfsr', 'f'
-## Use the balancing-free square-root Balance & Truncate method. Default method.
-## @end table
-##
-## @item 'alpha'
-## Specifies the ALPHA-stability boundary for the eigenvalues
-## of the state dynamics matrix @var{G.A}. For a continuous-time
-## system, ALPHA <= 0 is the boundary value for
-## the real parts of eigenvalues, while for a discrete-time
-## system, 0 <= ALPHA <= 1 represents the
-## boundary value for the moduli of eigenvalues.
-## The ALPHA-stability domain does not include the boundary.
-## Default value is 0 for continuous-time systems and
-## 1 for discrete-time systems.
-##
-## @item 'tol1'
-## If @var{'order'} is not specified, @var{tol1} contains the tolerance for
-## determining the order of the reduced model.
-## For model reduction, the recommended value of @var{tol1} is
-## c*info.hsv(1), where c lies in the interval [0.00001, 0.001].
-## Default value is info.ns*eps*info.hsv(1).
-## If @var{'order'} is specified, the value of @var{tol1} is ignored.
-##
-## @item 'tol2'
-## The tolerance for determining the order of a minimal
-## realization of the ALPHA-stable part of the given
-## model. TOL2 <= TOL1.
-## If not specified, ns*eps*info.hsv(1) is chosen.
-##
-## @item 'gram-ctrb'
-## Specifies the choice of frequency-weighted controllability
-## Grammian as follows:
-## @table @var
-## @item 'standard'
-## Choice corresponding to a combination method [4]
-## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
-## @item 'enhanced'
-## Choice corresponding to the stability enhanced
-## modified combination method of [4].
-## @end table
-##
-## @item 'gram-obsv'
-## Specifies the choice of frequency-weighted observability
-## Grammian as follows:
-## @table @var
-## @item 'standard'
-## Choice corresponding to a combination method [4]
-## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
-## @item 'enhanced'
-## Choice corresponding to the stability enhanced
-## modified combination method of [4].
-## @end table
-##
-## @item 'alpha-ctrb'
-## Combination method parameter for defining the
-## frequency-weighted controllability Grammian.
-## abs(alphac) <= 1.
-## If alphac = 0, the choice of
-## Grammian corresponds to the method of Enns [1], while if
-## alphac = 1, the choice of Grammian corresponds
-## to the method of Lin and Chiu [2,3].
-## Default value is 0.
-##
-## @item 'alpha-obsv'
-## Combination method parameter for defining the
-## frequency-weighted observability Grammian.
-## abs(alphao) <= 1.
-## If alphao = 0, the choice of
-## Grammian corresponds to the method of Enns [1], while if
-## alphao = 1, the choice of Grammian corresponds
-## to the method of Lin and Chiu [2,3].
-## Default value is 0.
-##
-## @item 'equil', 'scale'
-## Boolean indicating whether equilibration (scaling) should be
-## performed on system @var{G} prior to order reduction.
-## Default value is true if @code{G.scaled == false} and
-## false if @code{G.scaled == true}.
-## @end table
-##
-##
-## UNSTABLE (from bstmodred)
-##
-## MIMO (from bstmodred)
-##
-## Approximation Properties:
-## @itemize @bullet
-## @item
-## Guaranteed stability of reduced models
-## @item
-## Lower guaranteed error bound
-## @item
-## Guaranteed a priori error bound
-## @iftex
-## @tex
-## $$ \\sigma_{r+1} \\leq || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$
-## @end tex
-## @end iftex
-## @end itemize
-##
-##
-## @strong{References}@*
-## [1] Enns, D.
-## Model reduction with balanced realizations: An error bound
-## and a frequency weighted generalization.
-## Proc. 23-th CDC, Las Vegas, pp. 127-132, 1984.
-##
-## [2] Lin, C.-A. and Chiu, T.-Y.
-## Model reduction via frequency-weighted balanced realization.
-## Control Theory and Advanced Technology, vol. 8,
-## pp. 341-351, 1992.
-##
-## [3] Sreeram, V., Anderson, B.D.O and Madievski, A.G.
-## New results on frequency weighted balanced reduction
-## technique.
-## Proc. ACC, Seattle, Washington, pp. 4004-4009, 1995.
-##
-## [4] Varga, A. and Anderson, B.D.O.
-## Square-root balancing-free methods for the frequency-weighted
-## balancing related model reduction.
-## (report in preparation)
-##
-##
-## @strong{Algorithm}@*
-## Uses SLICOT AB09ID by courtesy of
-## @uref{http://www.slicot.org, NICONET e.V.}
+## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} balred (@var{G}, @dots{})
+## Wrapper for @command{spamodred}.
## @end deftypefn
## Author: Lukas Reichlin <luk...@gm...>
-## Created: Januar 2012
+## Created: January 2012
## Version: 0.1
function [Gr, info] = balred (varargin)
@@ -248,60 +36,3 @@
[Gr, info] = spamodred (varargin{:});
endfunction
-
-
-%!shared Mo, Me, Info, HSVe
-%! A = [ -26.4000, 6.4023, 4.3868;
-%! 32.0000, 0, 0;
-%! 0, 8.0000, 0 ];
-%!
-%! B = [ 16
-%! 0
-%! 0 ];
-%!
-%! C = [ 9.2994 1.1624 0.1090 ];
-%!
-%! D = [ 0 ];
-%!
-%! G = ss (A, B, C, D); % "scaled", false
-%!
-%! AV = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
-%! 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
-%! 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
-%! 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
-%! 0, 0, 0, 32.0000, 0, 0;
-%! 0, 0, 0, 0, 8.0000, 0 ];
-%!
-%! BV = [ 1
-%! 1
-%! 1
-%! 0
-%! 0
-%! 0 ];
-%!
-%! CV = [ 1 1 1 0 0 0 ];
-%!
-%! DV = [ 0 ];
-%!
-%! V = ss (AV, BV, CV, DV);
-%!
-%! [Gr, Info] = btamodred (G, 2, "left", V);
-%! [Ao, Bo, Co, Do] = ssdata (Gr);
-%!
-%! Ae = [ 9.1900 0.0000
-%! 0.0000 -34.5297 ];
-%!
-%! Be = [ 11.9593
-%! 16.9329 ];
-%!
-%! Ce = [ 2.8955 6.9152 ];
-%!
-%! De = [ 0.0000 ];
-%!
-%! HSVe = [ 3.8253 0.2005 ].';
-%!
-%! Mo = [Ao, Bo; Co, Do];
-%! Me = [Ae, Be; Ce, De];
-%!
-%!assert (Mo, Me, 1e-4);
-%!assert (Info.hsv, HSVe, 1e-4);
Modified: trunk/octave-forge/extra/control-devel/devel/bstmr.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/bstmr.m 2012-01-18 19:25:54 UTC (rev 9538)
+++ trunk/octave-forge/extra/control-devel/devel/bstmr.m 2012-01-18 20:29:08 UTC (rev 9539)
@@ -16,224 +16,12 @@
## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
-## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{opt}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @var{opt}, @dots{})
-##
-## Model order reduction by frequency weighted Balanced Truncation Approximation (BTA) method.
-## The aim of model reduction is to find an LTI system @var{Gr} of order
-## @var{nr} (nr < n) such that the input-output behaviour of @var{Gr}
-## approximates the one from original system @var{G}.
-##
-## BTA is an absolute error method which tries to minimize
-## @iftex
-## @tex
-## $$ || G - G_r ||_{\\infty} = min $$
-## $$ || V \\ (G - G_r) \\ W ||_{\\infty} = min $$
-## @end tex
-## @end iftex
-## @ifnottex
-## @example
-## ||G-Gr|| = min
-## inf
-##
-## ||V (G-Gr) W|| = min
-## inf
-## @end example
-## @end ifnottex
-## where @var{V} and @var{W} denote output and input weightings.
-##
-##
-## @strong{Inputs}
-## @table @var
-## @item G
-## LTI model to be reduced.
-## @item nr
-## The desired order of the resulting reduced order system @var{Gr}.
-## If not specified, @var{nr} is chosen automatically according
-## to the description of key @var{'order'}.
-## @item @dots{}
-## Optional pairs of keys and values. @code{"key1", value1, "key2", value2}.
-## @item opt
-## Optional struct with keys as field names.
-## Struct @var{opt} can be created directly or
-## by command @command{options}. @code{opt.key1 = value1, opt.key2 = value2}.
-## @end table
-##
-## @strong{Outputs}
-## @table @var
-## @item Gr
-## Reduced order state-space model.
-## @item info
-## Struct containing additional information.
-## @table @var
-## @item info.n
-## The order of the original system @var{G}.
-## @item info.ns
-## The order of the @var{alpha}-stable subsystem of the original system @var{G}.
-## @item info.hsv
-## The Hankel singular values of the @var{alpha}-stable part of
-## the original system @var{G}, ordered decreasingly.
-## @item info.nu
-## The order of the @var{alpha}-unstable subsystem of both the original
-## system @var{G} and the reduced-order system @var{Gr}.
-## @item info.nr
-## The order of the obtained reduced order system @var{Gr}.
-## @end table
-## @end table
-##
-##
-## @strong{Option Keys and Values}
-## @table @var
-## @item 'order', 'nr'
-## The desired order of the resulting reduced order system @var{Gr}.
-## If not specified, @var{nr} is chosen automatically such that states with
-## Hankel singular values @var{info.hsv} > @var{tol1} are retained.
-##
-## @item 'left', 'output'
-## LTI model of the left/output frequency weighting @var{V}.
-## Default value is an identity matrix.
-##
-## @item 'right', 'input'
-## LTI model of the right/input frequency weighting @var{W}.
-## Default value is an identity matrix.
-##
-## @item 'method'
-## Approximation method for the L-infinity norm to be used as follows:
-## @table @var
-## @item 'sr', 'b'
-## Use the square-root Balance & Truncate method.
-## @item 'bfsr', 'f'
-## Use the balancing-free square-root Balance & Truncate method. Default method.
-## @end table
-##
-## @item 'alpha'
-## Specifies the ALPHA-stability boundary for the eigenvalues
-## of the state dynamics matrix @var{G.A}. For a continuous-time
-## system, ALPHA <= 0 is the boundary value for
-## the real parts of eigenvalues, while for a discrete-time
-## system, 0 <= ALPHA <= 1 represents the
-## boundary value for the moduli of eigenvalues.
-## The ALPHA-stability domain does not include the boundary.
-## Default value is 0 for continuous-time systems and
-## 1 for discrete-time systems.
-##
-## @item 'tol1'
-## If @var{'order'} is not specified, @var{tol1} contains the tolerance for
-## determining the order of the reduced model.
-## For model reduction, the recommended value of @var{tol1} is
-## c*info.hsv(1), where c lies in the interval [0.00001, 0.001].
-## Default value is info.ns*eps*info.hsv(1).
-## If @var{'order'} is specified, the value of @var{tol1} is ignored.
-##
-## @item 'tol2'
-## The tolerance for determining the order of a minimal
-## realization of the ALPHA-stable part of the given
-## model. TOL2 <= TOL1.
-## If not specified, ns*eps*info.hsv(1) is chosen.
-##
-## @item 'gram-ctrb'
-## Specifies the choice of frequency-weighted controllability
-## Grammian as follows:
-## @table @var
-## @item 'standard'
-## Choice corresponding to a combination method [4]
-## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
-## @item 'enhanced'
-## Choice corresponding to the stability enhanced
-## modified combination method of [4].
-## @end table
-##
-## @item 'gram-obsv'
-## Specifies the choice of frequency-weighted observability
-## Grammian as follows:
-## @table @var
-## @item 'standard'
-## Choice corresponding to a combination method [4]
-## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
-## @item 'enhanced'
-## Choice corresponding to the stability enhanced
-## modified combination method of [4].
-## @end table
-##
-## @item 'alpha-ctrb'
-## Combination method parameter for defining the
-## frequency-weighted controllability Grammian.
-## abs(alphac) <= 1.
-## If alphac = 0, the choice of
-## Grammian corresponds to the method of Enns [1], while if
-## alphac = 1, the choice of Grammian corresponds
-## to the method of Lin and Chiu [2,3].
-## Default value is 0.
-##
-## @item 'alpha-obsv'
-## Combination method parameter for defining the
-## frequency-weighted observability Grammian.
-## abs(alphao) <= 1.
-## If alphao = 0, the choice of
-## Grammian corresponds to the method of Enns [1], while if
-## alphao = 1, the choice of Grammian corresponds
-## to the method of Lin and Chiu [2,3].
-## Default value is 0.
-##
-## @item 'equil', 'scale'
-## Boolean indicating whether equilibration (scaling) should be
-## performed on system @var{G} prior to order reduction.
-## Default value is true if @code{G.scaled == false} and
-## false if @code{G.scaled == true}.
-## @end table
-##
-##
-## UNSTABLE (from bstmodred)
-##
-## MIMO (from bstmodred)
-##
-## Approximation Properties:
-## @itemize @bullet
-## @item
-## Guaranteed stability of reduced models
-## @item
-## Lower guaranteed error bound
-## @item
-## Guaranteed a priori error bound
-## @iftex
-## @tex
-## $$ \\sigma_{r+1} \\leq || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$
-## @end tex
-## @end iftex
-## @end itemize
-##
-##
-## @strong{References}@*
-## [1] Enns, D.
-## Model reduction with balanced realizations: An error bound
-## and a frequency weighted generalization.
-## Proc. 23-th CDC, Las Vegas, pp. 127-132, 1984.
-##
-## [2] Lin, C.-A. and Chiu, T.-Y.
-## Model reduction via frequency-weighted balanced realization.
-## Control Theory and Advanced Technology, vol. 8,
-## pp. 341-351, 1992.
-##
-## [3] Sreeram, V., Anderson, B.D.O and Madievski, A.G.
-## New results on frequency weighted balanced reduction
-## technique.
-## Proc. ACC, Seattle, Washington, pp. 4004-4009, 1995.
-##
-## [4] Varga, A. and Anderson, B.D.O.
-## Square-root balancing-free methods for the frequency-weighted
-## balancing related model reduction.
-## (report in preparation)
-##
-##
-## @strong{Algorithm}@*
-## Uses SLICOT AB09ID by courtesy of
-## @uref{http://www.slicot.org, NICONET e.V.}
+## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} bstmr (@var{G}, @dots{})
+## Wrapper for @command{bstmodred}.
## @end deftypefn
## Author: Lukas Reichlin <luk...@gm...>
-## Created: Januar 2012
+## Created: January 2012
## Version: 0.1
function [Gr, info] = bstmr (varargin)
@@ -248,60 +36,3 @@
[Gr, info] = bstmodred (varargin{:});
endfunction
-
-
-%!shared Mo, Me, Info, HSVe
-%! A = [ -26.4000, 6.4023, 4.3868;
-%! 32.0000, 0, 0;
-%! 0, 8.0000, 0 ];
-%!
-%! B = [ 16
-%! 0
-%! 0 ];
-%!
-%! C = [ 9.2994 1.1624 0.1090 ];
-%!
-%! D = [ 0 ];
-%!
-%! G = ss (A, B, C, D); % "scaled", false
-%!
-%! AV = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
-%! 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
-%! 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
-%! 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
-%! 0, 0, 0, 32.0000, 0, 0;
-%! 0, 0, 0, 0, 8.0000, 0 ];
-%!
-%! BV = [ 1
-%! 1
-%! 1
-%! 0
-%! 0
-%! 0 ];
-%!
-%! CV = [ 1 1 1 0 0 0 ];
-%!
-%! DV = [ 0 ];
-%!
-%! V = ss (AV, BV, CV, DV);
-%!
-%! [Gr, Info] = btamodred (G, 2, "left", V);
-%! [Ao, Bo, Co, Do] = ssdata (Gr);
-%!
-%! Ae = [ 9.1900 0.0000
-%! 0.0000 -34.5297 ];
-%!
-%! Be = [ 11.9593
-%! 16.9329 ];
-%!
-%! Ce = [ 2.8955 6.9152 ];
-%!
-%! De = [ 0.0000 ];
-%!
-%! HSVe = [ 3.8253 0.2005 ].';
-%!
-%! Mo = [Ao, Bo; Co, Do];
-%! Me = [Ae, Be; Ce, De];
-%!
-%!assert (Mo, Me, 1e-4);
-%!assert (Info.hsv, HSVe, 1e-4);
Modified: trunk/octave-forge/extra/control-devel/devel/hankelmr.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/hankelmr.m 2012-01-18 19:25:54 UTC (rev 9538)
+++ trunk/octave-forge/extra/control-devel/devel/hankelmr.m 2012-01-18 20:29:08 UTC (rev 9539)
@@ -16,224 +16,12 @@
## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
-## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{opt}, @dots{})
-## @deftypefnx{Function File} {[@var{Gr}, @var{info}] =} btamodred (@var{G}, @var{nr}, @var{opt}, @dots{})
-##
-## Model order reduction by frequency weighted Balanced Truncation Approximation (BTA) method.
-## The aim of model reduction is to find an LTI system @var{Gr} of order
-## @var{nr} (nr < n) such that the input-output behaviour of @var{Gr}
-## approximates the one from original system @var{G}.
-##
-## BTA is an absolute error method which tries to minimize
-## @iftex
-## @tex
-## $$ || G - G_r ||_{\\infty} = min $$
-## $$ || V \\ (G - G_r) \\ W ||_{\\infty} = min $$
-## @end tex
-## @end iftex
-## @ifnottex
-## @example
-## ||G-Gr|| = min
-## inf
-##
-## ||V (G-Gr) W|| = min
-## inf
-## @end example
-## @end ifnottex
-## where @var{V} and @var{W} denote output and input weightings.
-##
-##
-## @strong{Inputs}
-## @table @var
-## @item G
-## LTI model to be reduced.
-## @item nr
-## The desired order of the resulting reduced order system @var{Gr}.
-## If not specified, @var{nr} is chosen automatically according
-## to the description of key @var{'order'}.
-## @item @dots{}
-## Optional pairs of keys and values. @code{"key1", value1, "key2", value2}.
-## @item opt
-## Optional struct with keys as field names.
-## Struct @var{opt} can be created directly or
-## by command @command{options}. @code{opt.key1 = value1, opt.key2 = value2}.
-## @end table
-##
-## @strong{Outputs}
-## @table @var
-## @item Gr
-## Reduced order state-space model.
-## @item info
-## Struct containing additional information.
-## @table @var
-## @item info.n
-## The order of the original system @var{G}.
-## @item info.ns
-## The order of the @var{alpha}-stable subsystem of the original system @var{G}.
-## @item info.hsv
-## The Hankel singular values of the @var{alpha}-stable part of
-## the original system @var{G}, ordered decreasingly.
-## @item info.nu
-## The order of the @var{alpha}-unstable subsystem of both the original
-## system @var{G} and the reduced-order system @var{Gr}.
-## @item info.nr
-## The order of the obtained reduced order system @var{Gr}.
-## @end table
-## @end table
-##
-##
-## @strong{Option Keys and Values}
-## @table @var
-## @item 'order', 'nr'
-## The desired order of the resulting reduced order system @var{Gr}.
-## If not specified, @var{nr} is chosen automatically such that states with
-## Hankel singular values @var{info.hsv} > @var{tol1} are retained.
-##
-## @item 'left', 'output'
-## LTI model of the left/output frequency weighting @var{V}.
-## Default value is an identity matrix.
-##
-## @item 'right', 'input'
-## LTI model of the right/input frequency weighting @var{W}.
-## Default value is an identity matrix.
-##
-## @item 'method'
-## Approximation method for the L-infinity norm to be used as follows:
-## @table @var
-## @item 'sr', 'b'
-## Use the square-root Balance & Truncate method.
-## @item 'bfsr', 'f'
-## Use the balancing-free square-root Balance & Truncate method. Default method.
-## @end table
-##
-## @item 'alpha'
-## Specifies the ALPHA-stability boundary for the eigenvalues
-## of the state dynamics matrix @var{G.A}. For a continuous-time
-## system, ALPHA <= 0 is the boundary value for
-## the real parts of eigenvalues, while for a discrete-time
-## system, 0 <= ALPHA <= 1 represents the
-## boundary value for the moduli of eigenvalues.
-## The ALPHA-stability domain does not include the boundary.
-## Default value is 0 for continuous-time systems and
-## 1 for discrete-time systems.
-##
-## @item 'tol1'
-## If @var{'order'} is not specified, @var{tol1} contains the tolerance for
-## determining the order of the reduced model.
-## For model reduction, the recommended value of @var{tol1} is
-## c*info.hsv(1), where c lies in the interval [0.00001, 0.001].
-## Default value is info.ns*eps*info.hsv(1).
-## If @var{'order'} is specified, the value of @var{tol1} is ignored.
-##
-## @item 'tol2'
-## The tolerance for determining the order of a minimal
-## realization of the ALPHA-stable part of the given
-## model. TOL2 <= TOL1.
-## If not specified, ns*eps*info.hsv(1) is chosen.
-##
-## @item 'gram-ctrb'
-## Specifies the choice of frequency-weighted controllability
-## Grammian as follows:
-## @table @var
-## @item 'standard'
-## Choice corresponding to a combination method [4]
-## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
-## @item 'enhanced'
-## Choice corresponding to the stability enhanced
-## modified combination method of [4].
-## @end table
-##
-## @item 'gram-obsv'
-## Specifies the choice of frequency-weighted observability
-## Grammian as follows:
-## @table @var
-## @item 'standard'
-## Choice corresponding to a combination method [4]
-## of the approaches of Enns [1] and Lin-Chiu [2,3]. Default method.
-## @item 'enhanced'
-## Choice corresponding to the stability enhanced
-## modified combination method of [4].
-## @end table
-##
-## @item 'alpha-ctrb'
-## Combination method parameter for defining the
-## frequency-weighted controllability Grammian.
-## abs(alphac) <= 1.
-## If alphac = 0, the choice of
-## Grammian corresponds to the method of Enns [1], while if
-## alphac = 1, the choice of Grammian corresponds
-## to the method of Lin and Chiu [2,3].
-## Default value is 0.
-##
-## @item 'alpha-obsv'
-## Combination method parameter for defining the
-## frequency-weighted observability Grammian.
-## abs(alphao) <= 1.
-## If alphao = 0, the choice of
-## Grammian corresponds to the method of Enns [1], while if
-## alphao = 1, the choice of Grammian corresponds
-## to the method of Lin and Chiu [2,3].
-## Default value is 0.
-##
-## @item 'equil', 'scale'
-## Boolean indicating whether equilibration (scaling) should be
-## performed on system @var{G} prior to order reduction.
-## Default value is true if @code{G.scaled == false} and
-## false if @code{G.scaled == true}.
-## @end table
-##
-##
-## UNSTABLE (from bstmodred)
-##
-## MIMO (from bstmodred)
-##
-## Approximation Properties:
-## @itemize @bullet
-## @item
-## Guaranteed stability of reduced models
-## @item
-## Lower guaranteed error bound
-## @item
-## Guaranteed a priori error bound
-## @iftex
-## @tex
-## $$ \\sigma_{r+1} \\leq || (G-G_r) ||_{\\infty} \\leq 2 \\sum_{j=r+1}^{n} \\sigma_j $$
-## @end tex
-## @end iftex
-## @end itemize
-##
-##
-## @strong{References}@*
-## [1] Enns, D.
-## Model reduction with balanced realizations: An error bound
-## and a frequency weighted generalization.
-## Proc. 23-th CDC, Las Vegas, pp. 127-132, 1984.
-##
-## [2] Lin, C.-A. and Chiu, T.-Y.
-## Model reduction via frequency-weighted balanced realization.
-## Control Theory and Advanced Technology, vol. 8,
-## pp. 341-351, 1992.
-##
-## [3] Sreeram, V., Anderson, B.D.O and Madievski, A.G.
-## New results on frequency weighted balanced reduction
-## technique.
-## Proc. ACC, Seattle, Washington, pp. 4004-4009, 1995.
-##
-## [4] Varga, A. and Anderson, B.D.O.
-## Square-root balancing-free methods for the frequency-weighted
-## balancing related model reduction.
-## (report in preparation)
-##
-##
-## @strong{Algorithm}@*
-## Uses SLICOT AB09ID by courtesy of
-## @uref{http://www.slicot.org, NICONET e.V.}
+## @deftypefn{Function File} {[@var{Gr}, @var{info}] =} hankelmr (@var{G}, @dots{})
+## Wrapper for @command{hnamodred}.
## @end deftypefn
## Author: Lukas Reichlin <luk...@gm...>
-## Created: Januar 2012
+## Created: January 2012
## Version: 0.1
function [Gr, info] = hankelmr (varargin)
@@ -248,60 +36,3 @@
[Gr, info] = hnamodred (varargin{:});
endfunction
-
-
-%!shared Mo, Me, Info, HSVe
-%! A = [ -26.4000, 6.4023, 4.3868;
-%! 32.0000, 0, 0;
-%! 0, 8.0000, 0 ];
-%!
-%! B = [ 16
-%! 0
-%! 0 ];
-%!
-%! C = [ 9.2994 1.1624 0.1090 ];
-%!
-%! D = [ 0 ];
-%!
-%! G = ss (A, B, C, D); % "scaled", false
-%!
-%! AV = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
-%! 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
-%! 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
-%! 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
-%! 0, 0, 0, 32.0000, 0, 0;
-%! 0, 0, 0, 0, 8.0000, 0 ];
-%!
-%! BV = [ 1
-%! 1
-%! 1
-%! 0
-%! 0
-%! 0 ];
-%!
-%! CV = [ 1 1 1 0 0 0 ];
-%!
-%! DV = [ 0 ];
-%!
-%! V = ss (AV, BV, CV, DV);
-%!
-%! [Gr, Info] = btamodred (G, 2, "left", V);
-%! [Ao, Bo, Co, Do] = ssdata (Gr);
-%!
-%! Ae = [ 9.1900 0.0000
-%! 0.0000 -34.5297 ];
-%!
-%! Be = [ 11.9593
-%! 16.9329 ];
-%!
-%! Ce = [ 2.8955 6.9152 ];
-%!
-%! De = [ 0.0000 ];
-%!
-%! HSVe = [ 3.8253 0.2005 ].';
-%!
-%! Mo = [Ao, Bo; Co, Do];
-%! Me = [Ae, Be; Ce, De];
-%!
-%!assert (Mo, Me, 1e-4);
-%!assert (Info.hsv, HSVe, 1e-4);
Modified: trunk/octave-forge/extra/control-devel/devel/madievski.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/madievski.m 2012-01-18 19:25:54 UTC (rev 9538)
+++ trunk/octave-forge/extra/control-devel/devel/madievski.m 2012-01-18 20:29:08 UTC (rev 9539)
@@ -1,3 +1,5 @@
+%clear all, close all, clc;
+
Ap1 = [ 0.0 1.0
0.0 0.0 ];
@@ -52,7 +54,7 @@
K = ss (Ac, Bc, Cc, Dc);
-Kr = btaconred (P, K, 4, 'weight', 'both', 'feedback', '-')
+Kr = btaconred (P, K, 4, 'feedback', '-')
tau = 0.1;
@@ -63,22 +65,78 @@
F = 5 / (s + 5);
L = P * K;
-Ld = Pd * Kd;
+%Ld = Pd * Kd;
+Lr = P * Kr;
T = feedback (L);
-Td = feedback (Ld);
+%Td = feedback (Ld);
+Tr = feedback (Lr);
+w = {1e-2, 1e1};
+
figure (1)
step (T, 100)
figure (2)
-bode (L)
+%bode (L)
+bode (K, w)
figure (3)
-step (Td, 100)
+%step (Td, 100)
+step (Tr, 100)
figure (4)
-bode (Ld)
+%bode (Ld)
+bode (Kr, w)
figure (5)
-step (feedback (P*Kr), 100)
+%step (feedback (P*Kr), 100)
+
+
+
+[mag, pha, w] = bode (K, w);
+[magr, phar, wr] = bode (Kr, w);
+
+mag = 20 * log10 (mag);
+magr = 20 * log10 (magr);
+
+
+%figure (6)
+
+
+ xl_str = "Frequency [rad/s]";
+
+
+ subplot (2, 1, 1)
+ semilogx (w, mag, "b", wr, magr, "r")
+ axis ("tight")
+ ylim (__axis_margin__ (ylim))
+ grid ("on")
+ title ("Bode Diagrams of K and Kr")
+ ylabel ("Magnitude [dB]")
+
+ subplot (2, 1, 2)
+ semilogx (w, pha, "b", wr, phar, "r")
+ axis ("tight")
+ ylim (__axis_margin__ (ylim))
+ grid ("on")
+ xlabel (xl_str)
+ ylabel ("Phase [deg]")
+ legend ("K (8 states)", "Kr (4 states)", "location", "southwest")
+
+ print -depsc2 madievski-bode.eps
+
+
+[y, t] = step (T, 100);
+[yr, tr] = step (Tr, 100);
+
+figure (6)
+plot (t, y, 'b', tr, yr, 'r')
+grid ('on')
+title ('Step Response of Closed Loop')
+xlabel ('Time [s]')
+ylabel ('Output [-]')
+legend ('K (8 states)', 'Kr (4 states)', 'Location', 'SouthEast')
+
+print -depsc2 madievski-step.eps
+
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-02-11 07:16:46
|
Revision: 9618
http://octave.svn.sourceforge.net/octave/?rev=9618&view=rev
Author: paramaniac
Date: 2012-02-11 07:16:37 +0000 (Sat, 11 Feb 2012)
Log Message:
-----------
control-devel: add some stuff for dksyn
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/dksyn/
trunk/octave-forge/extra/control-devel/devel/dksyn/AB04MD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/AB05MD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/AB07MD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/AB07ND.f
trunk/octave-forge/extra/control-devel/devel/dksyn/AB13MD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/DG01MD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MA02AD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MA02ED.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB01PD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB01QD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB01RU.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB01RX.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB01RY.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB01SD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB01UD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB02PD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB02RZ.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB02SZ.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB02TZ.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MB03OY.f
trunk/octave-forge/extra/control-devel/devel/dksyn/MC01PD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB02MR.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB02MS.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB02MV.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB02MW.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB02QD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB02RD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB02RU.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB02SD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB03MV.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB03MW.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB03MX.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB03MY.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB03QX.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB03QY.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB03SX.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB03SY.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB04PX.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB10AD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB10LD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB10MD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB10PD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB10QD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB10RD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB10YD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/SB10ZP.f
trunk/octave-forge/extra/control-devel/devel/dksyn/TB01ID.f
trunk/octave-forge/extra/control-devel/devel/dksyn/TB01PD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/TB01UD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/TB01XD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/TB05AD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/TD03AY.f
trunk/octave-forge/extra/control-devel/devel/dksyn/TD04AD.f
trunk/octave-forge/extra/control-devel/devel/dksyn/makefile_dksyn.m
trunk/octave-forge/extra/control-devel/devel/dksyn/muHopt.f
trunk/octave-forge/extra/control-devel/devel/dksyn/select.f
Added: trunk/octave-forge/extra/control-devel/devel/dksyn/AB04MD.f
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/dksyn/AB04MD.f (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/dksyn/AB04MD.f 2012-02-11 07:16:37 UTC (rev 9618)
@@ -0,0 +1,345 @@
+ SUBROUTINE AB04MD( TYPE, N, M, P, ALPHA, BETA, A, LDA, B, LDB, C,
+ $ LDC, D, LDD, IWORK, DWORK, LDWORK, INFO )
+C
+C SLICOT RELEASE 5.0.
+C
+C Copyright (c) 2002-2010 NICONET e.V.
+C
+C This program is free software: you can redistribute it and/or
+C modify it under the terms of the GNU General Public License as
+C published by the Free Software Foundation, either version 2 of
+C the License, or (at your option) any later version.
+C
+C This program is distributed in the hope that it will be useful,
+C but WITHOUT ANY WARRANTY; without even the implied warranty of
+C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+C GNU General Public License for more details.
+C
+C You should have received a copy of the GNU General Public License
+C along with this program. If not, see
+C <http://www.gnu.org/licenses/>.
+C
+C PURPOSE
+C
+C To perform a transformation on the parameters (A,B,C,D) of a
+C system, which is equivalent to a bilinear transformation of the
+C corresponding transfer function matrix.
+C
+C ARGUMENTS
+C
+C Mode Parameters
+C
+C TYPE CHARACTER*1
+C Indicates the type of the original system and the
+C transformation to be performed as follows:
+C = 'D': discrete-time -> continuous-time;
+C = 'C': continuous-time -> discrete-time.
+C
+C Input/Output Parameters
+C
+C N (input) INTEGER
+C The order of the state matrix A. N >= 0.
+C
+C M (input) INTEGER
+C The number of system inputs. M >= 0.
+C
+C P (input) INTEGER
+C The number of system outputs. P >= 0.
+C
+C ALPHA, (input) DOUBLE PRECISION
+C BETA Parameters specifying the bilinear transformation.
+C Recommended values for stable systems: ALPHA = 1,
+C BETA = 1. ALPHA <> 0, BETA <> 0.
+C
+C A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
+C On entry, the leading N-by-N part of this array must
+C contain the state matrix A of the original system.
+C On exit, the leading N-by-N part of this array contains
+C _
+C the state matrix A of the transformed system.
+C
+C LDA INTEGER
+C The leading dimension of array A. LDA >= MAX(1,N).
+C
+C B (input/output) DOUBLE PRECISION array, dimension (LDB,M)
+C On entry, the leading N-by-M part of this array must
+C contain the input matrix B of the original system.
+C On exit, the leading N-by-M part of this array contains
+C _
+C the input matrix B of the transformed system.
+C
+C LDB INTEGER
+C The leading dimension of array B. LDB >= MAX(1,N).
+C
+C C (input/output) DOUBLE PRECISION array, dimension (LDC,N)
+C On entry, the leading P-by-N part of this array must
+C contain the output matrix C of the original system.
+C On exit, the leading P-by-N part of this array contains
+C _
+C the output matrix C of the transformed system.
+C
+C LDC INTEGER
+C The leading dimension of array C. LDC >= MAX(1,P).
+C
+C D (input/output) DOUBLE PRECISION array, dimension (LDD,M)
+C On entry, the leading P-by-M part of this array must
+C contain the input/output matrix D for the original system.
+C On exit, the leading P-by-M part of this array contains
+C _
+C the input/output matrix D of the transformed system.
+C
+C LDD INTEGER
+C The leading dimension of array D. LDD >= MAX(1,P).
+C
+C Workspace
+C
+C IWORK INTEGER array, dimension (N)
+C
+C DWORK DOUBLE PRECISION array, dimension (LDWORK)
+C On exit, if INFO = 0, DWORK(1) returns the optimal value
+C of LDWORK.
+C
+C LDWORK INTEGER
+C The length of the array DWORK. LDWORK >= MAX(1,N).
+C For optimum performance LDWORK >= MAX(1,N*NB), where NB
+C is the optimal blocksize.
+C
+C Error Indicator
+C
+C INFO INTEGER
+C = 0: successful exit;
+C < 0: if INFO = -i, the i-th argument had an illegal
+C value;
+C = 1: if the matrix (ALPHA*I + A) is exactly singular;
+C = 2: if the matrix (BETA*I - A) is exactly singular.
+C
+C METHOD
+C
+C The parameters of the discrete-time system are transformed into
+C the parameters of the continuous-time system (TYPE = 'D'), or
+C vice-versa (TYPE = 'C') by the transformation:
+C
+C 1. Discrete -> continuous
+C _ -1
+C A = beta*(alpha*I + A) * (A - alpha*I)
+C _ -1
+C B = sqrt(2*alpha*beta) * (alpha*I + A) * B
+C _ -1
+C C = sqrt(2*alpha*beta) * C * (alpha*I + A)
+C _ -1
+C D = D - C * (alpha*I + A) * B
+C
+C which is equivalent to the bilinear transformation
+C
+C z - alpha
+C z -> s = beta --------- .
+C z + alpha
+C
+C of one transfer matrix onto the other.
+C
+C 2. Continuous -> discrete
+C _ -1
+C A = alpha*(beta*I - A) * (beta*I + A)
+C _ -1
+C B = sqrt(2*alpha*beta) * (beta*I - A) * B
+C _ -1
+C C = sqrt(2*alpha*beta) * C * (beta*I - A)
+C _ -1
+C D = D + C * (beta*I - A) * B
+C
+C which is equivalent to the bilinear transformation
+C
+C beta + s
+C s -> z = alpha -------- .
+C beta - s
+C
+C of one transfer matrix onto the other.
+C
+C REFERENCES
+C
+C [1] Al-Saggaf, U.M. and Franklin, G.F.
+C Model reduction via balanced realizations: a extension and
+C frequency weighting techniques.
+C IEEE Trans. Autom. Contr., AC-33, pp. 687-692, 1988.
+C
+C NUMERICAL ASPECTS
+C 3
+C The time taken is approximately proportional to N .
+C The accuracy depends mainly on the condition number of the matrix
+C to be inverted.
+C
+C CONTRIBUTORS
+C
+C Release 3.0: V. Sima, Katholieke Univ. Leuven, Belgium, and
+C A. Varga, German Aerospace Research Establishment,
+C Oberpfaffenhofen, Germany, Nov. 1996.
+C Supersedes Release 2.0 routine AB04AD by W. van der Linden, and
+C A.J. Geurts, Technische Hogeschool Eindhoven, Holland.
+C
+C REVISIONS
+C
+C -
+C
+C KEYWORDS
+C
+C Bilinear transformation, continuous-time system, discrete-time
+C system, state-space model.
+C
+C ******************************************************************
+C
+C .. Parameters ..
+ DOUBLE PRECISION ZERO, ONE, TWO
+ PARAMETER ( ZERO=0.0D0, ONE=1.0D0, TWO=2.0D0 )
+C .. Scalar Arguments ..
+ CHARACTER TYPE
+ INTEGER INFO, LDA, LDB, LDC, LDD, LDWORK, M, N, P
+ DOUBLE PRECISION ALPHA, BETA
+C .. Array Arguments ..
+ INTEGER IWORK(*)
+ DOUBLE PRECISION A(LDA,*), B(LDB,*), C(LDC,*), D(LDD,*), DWORK(*)
+C .. Local Scalars ..
+ LOGICAL LTYPE
+ INTEGER I, IP
+ DOUBLE PRECISION AB2, PALPHA, PBETA, SQRAB2
+C .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+C .. External Subroutines ..
+ EXTERNAL DGEMM, DGETRF, DGETRS, DGETRI, DLASCL, DSCAL,
+ $ DSWAP, XERBLA
+C .. Intrinsic Functions ..
+ INTRINSIC ABS, MAX, SIGN, SQRT
+C .. Executable Statements ..
+C
+ INFO = 0
+ LTYPE = LSAME( TYPE, 'D' )
+C
+C Test the input scalar arguments.
+C
+ IF( .NOT.LTYPE .AND. .NOT.LSAME( TYPE, 'C' ) ) THEN
+ INFO = -1
+ ELSE IF( N.LT.0 ) THEN
+ INFO = -2
+ ELSE IF( M.LT.0 ) THEN
+ INFO = -3
+ ELSE IF( P.LT.0 ) THEN
+ INFO = -4
+ ELSE IF( ALPHA.EQ.ZERO ) THEN
+ INFO = -5
+ ELSE IF( BETA.EQ.ZERO ) THEN
+ INFO = -6
+ ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
+ INFO = -8
+ ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
+ INFO = -10
+ ELSE IF( LDC.LT.MAX( 1, P ) ) THEN
+ INFO = -12
+ ELSE IF( LDD.LT.MAX( 1, P ) ) THEN
+ INFO = -14
+ ELSE IF( LDWORK.LT.MAX( 1, N ) ) THEN
+ INFO = -17
+ END IF
+C
+ IF ( INFO.NE.0 ) THEN
+C
+C Error return.
+C
+ CALL XERBLA( 'AB04MD', -INFO )
+ RETURN
+ END IF
+C
+C Quick return if possible.
+C
+ IF ( MAX( N, M, P ).EQ.0 )
+ $ RETURN
+C
+C (Note: Comments in the code beginning "Workspace:" describe the
+C minimal amount of real workspace needed at that point in the
+C code, as well as the preferred amount for good performance.
+C NB refers to the optimal block size for the immediately
+C following subroutine, as returned by ILAENV.)
+C
+ IF (LTYPE) THEN
+C
+C Discrete-time to continuous-time with (ALPHA, BETA).
+C
+ PALPHA = ALPHA
+ PBETA = BETA
+ ELSE
+C
+C Continuous-time to discrete-time with (ALPHA, BETA) is
+C equivalent with discrete-time to continuous-time with
+C (-BETA, -ALPHA), if B and C change the sign.
+C
+ PALPHA = -BETA
+ PBETA = -ALPHA
+ END IF
+C
+ AB2 = PALPHA*PBETA*TWO
+ SQRAB2 = SIGN( SQRT( ABS( AB2 ) ), PALPHA )
+C -1
+C Compute (alpha*I + A) .
+C
+ DO 10 I = 1, N
+ A(I,I) = A(I,I) + PALPHA
+ 10 CONTINUE
+C
+ CALL DGETRF( N, N, A, LDA, IWORK, INFO )
+C
+ IF (INFO.NE.0) THEN
+C
+C Error return.
+C
+ IF (LTYPE) THEN
+ INFO = 1
+ ELSE
+ INFO = 2
+ END IF
+ RETURN
+ END IF
+C -1
+C Compute (alpha*I+A) *B.
+C
+ CALL DGETRS( 'No transpose', N, M, A, LDA, IWORK, B, LDB, INFO )
+C -1
+C Compute D - C*(alpha*I+A) *B.
+C
+ CALL DGEMM( 'No transpose', 'No transpose', P, M, N, -ONE, C,
+ $ LDC, B, LDB, ONE, D, LDD )
+C
+C Scale B by sqrt(2*alpha*beta).
+C
+ CALL DLASCL( 'General', 0, 0, ONE, SQRAB2, N, M, B, LDB, INFO )
+C -1
+C Compute sqrt(2*alpha*beta)*C*(alpha*I + A) .
+C
+ CALL DTRSM( 'Right', 'Upper', 'No transpose', 'Non-unit', P, N,
+ $ SQRAB2, A, LDA, C, LDC )
+C
+ CALL DTRSM( 'Right', 'Lower', 'No transpose', 'Unit', P, N, ONE,
+ $ A, LDA, C, LDC )
+C
+C Apply column interchanges to the solution matrix.
+C
+ DO 20 I = N-1, 1, -1
+ IP = IWORK(I)
+ IF ( IP.NE.I )
+ $ CALL DSWAP( P, C(1,I), 1, C(1,IP), 1 )
+ 20 CONTINUE
+C -1
+C Compute beta*(alpha*I + A) *(A - alpha*I) as
+C -1
+C beta*I - 2*alpha*beta*(alpha*I + A) .
+C
+C Workspace: need N; prefer N*NB.
+C
+ CALL DGETRI( N, A, LDA, IWORK, DWORK, LDWORK, INFO )
+C
+ DO 30 I = 1, N
+ CALL DSCAL(N, -AB2, A(1,I), 1)
+ A(I,I) = A(I,I) + PBETA
+ 30 CONTINUE
+C
+ RETURN
+C *** Last line of AB04MD ***
+ END
Property changes on: trunk/octave-forge/extra/control-devel/devel/dksyn/AB04MD.f
___________________________________________________________________
Added: svn:executable
+ *
Added: trunk/octave-forge/extra/control-devel/devel/dksyn/AB05MD.f
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/dksyn/AB05MD.f (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/dksyn/AB05MD.f 2012-02-11 07:16:37 UTC (rev 9618)
@@ -0,0 +1,547 @@
+ SUBROUTINE AB05MD( UPLO, OVER, N1, M1, P1, N2, P2, A1, LDA1, B1,
+ $ LDB1, C1, LDC1, D1, LDD1, A2, LDA2, B2, LDB2,
+ $ C2, LDC2, D2, LDD2, N, A, LDA, B, LDB, C, LDC,
+ $ D, LDD, DWORK, LDWORK, INFO )
+C
+C SLICOT RELEASE 5.0.
+C
+C Copyright (c) 2002-2010 NICONET e.V.
+C
+C This program is free software: you can redistribute it and/or
+C modify it under the terms of the GNU General Public License as
+C published by the Free Software Foundation, either version 2 of
+C the License, or (at your option) any later version.
+C
+C This program is distributed in the hope that it will be useful,
+C but WITHOUT ANY WARRANTY; without even the implied warranty of
+C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+C GNU General Public License for more details.
+C
+C You should have received a copy of the GNU General Public License
+C along with this program. If not, see
+C <http://www.gnu.org/licenses/>.
+C
+C PURPOSE
+C
+C To obtain the state-space model (A,B,C,D) for the cascaded
+C inter-connection of two systems, each given in state-space form.
+C
+C ARGUMENTS
+C
+C Mode Parameters
+C
+C UPLO CHARACTER*1
+C Indicates whether the user wishes to obtain the matrix A
+C in the upper or lower block diagonal form, as follows:
+C = 'U': Obtain A in the upper block diagonal form;
+C = 'L': Obtain A in the lower block diagonal form.
+C
+C OVER CHARACTER*1
+C Indicates whether the user wishes to overlap pairs of
+C arrays, as follows:
+C = 'N': Do not overlap;
+C = 'O': Overlap pairs of arrays: A1 and A, B1 and B,
+C C1 and C, and D1 and D (for UPLO = 'L'), or A2
+C and A, B2 and B, C2 and C, and D2 and D (for
+C UPLO = 'U'), i.e. the same name is effectively
+C used for each pair (for all pairs) in the routine
+C call. In this case, setting LDA1 = LDA,
+C LDB1 = LDB, LDC1 = LDC, and LDD1 = LDD, or
+C LDA2 = LDA, LDB2 = LDB, LDC2 = LDC, and LDD2 = LDD
+C will give maximum efficiency.
+C
+C Input/Output Parameters
+C
+C N1 (input) INTEGER
+C The number of state variables in the first system, i.e.
+C the order of the matrix A1. N1 >= 0.
+C
+C M1 (input) INTEGER
+C The number of input variables for the first system.
+C M1 >= 0.
+C
+C P1 (input) INTEGER
+C The number of output variables from the first system and
+C the number of input variables for the second system.
+C P1 >= 0.
+C
+C N2 (input) INTEGER
+C The number of state variables in the second system, i.e.
+C the order of the matrix A2. N2 >= 0.
+C
+C P2 (input) INTEGER
+C The number of output variables from the second system.
+C P2 >= 0.
+C
+C A1 (input) DOUBLE PRECISION array, dimension (LDA1,N1)
+C The leading N1-by-N1 part of this array must contain the
+C state transition matrix A1 for the first system.
+C
+C LDA1 INTEGER
+C The leading dimension of array A1. LDA1 >= MAX(1,N1).
+C
+C B1 (input) DOUBLE PRECISION array, dimension (LDB1,M1)
+C The leading N1-by-M1 part of this array must contain the
+C input/state matrix B1 for the first system.
+C
+C LDB1 INTEGER
+C The leading dimension of array B1. LDB1 >= MAX(1,N1).
+C
+C C1 (input) DOUBLE PRECISION array, dimension (LDC1,N1)
+C The leading P1-by-N1 part of this array must contain the
+C state/output matrix C1 for the first system.
+C
+C LDC1 INTEGER
+C The leading dimension of array C1.
+C LDC1 >= MAX(1,P1) if N1 > 0.
+C LDC1 >= 1 if N1 = 0.
+C
+C D1 (input) DOUBLE PRECISION array, dimension (LDD1,M1)
+C The leading P1-by-M1 part of this array must contain the
+C input/output matrix D1 for the first system.
+C
+C LDD1 INTEGER
+C The leading dimension of array D1. LDD1 >= MAX(1,P1).
+C
+C A2 (input) DOUBLE PRECISION array, dimension (LDA2,N2)
+C The leading N2-by-N2 part of this array must contain the
+C state transition matrix A2 for the second system.
+C
+C LDA2 INTEGER
+C The leading dimension of array A2. LDA2 >= MAX(1,N2).
+C
+C B2 (input) DOUBLE PRECISION array, dimension (LDB2,P1)
+C The leading N2-by-P1 part of this array must contain the
+C input/state matrix B2 for the second system.
+C
+C LDB2 INTEGER
+C The leading dimension of array B2. LDB2 >= MAX(1,N2).
+C
+C C2 (input) DOUBLE PRECISION array, dimension (LDC2,N2)
+C The leading P2-by-N2 part of this array must contain the
+C state/output matrix C2 for the second system.
+C
+C LDC2 INTEGER
+C The leading dimension of array C2.
+C LDC2 >= MAX(1,P2) if N2 > 0.
+C LDC2 >= 1 if N2 = 0.
+C
+C D2 (input) DOUBLE PRECISION array, dimension (LDD2,P1)
+C The leading P2-by-P1 part of this array must contain the
+C input/output matrix D2 for the second system.
+C
+C LDD2 INTEGER
+C The leading dimension of array D2. LDD2 >= MAX(1,P2).
+C
+C N (output) INTEGER
+C The number of state variables (N1 + N2) in the resulting
+C system, i.e. the order of the matrix A, the number of rows
+C of B and the number of columns of C.
+C
+C A (output) DOUBLE PRECISION array, dimension (LDA,N1+N2)
+C The leading N-by-N part of this array contains the state
+C transition matrix A for the cascaded system.
+C If OVER = 'O', the array A can overlap A1, if UPLO = 'L',
+C or A2, if UPLO = 'U'.
+C
+C LDA INTEGER
+C The leading dimension of array A. LDA >= MAX(1,N1+N2).
+C
+C B (output) DOUBLE PRECISION array, dimension (LDB,M1)
+C The leading N-by-M1 part of this array contains the
+C input/state matrix B for the cascaded system.
+C If OVER = 'O', the array B can overlap B1, if UPLO = 'L',
+C or B2, if UPLO = 'U'.
+C
+C LDB INTEGER
+C The leading dimension of array B. LDB >= MAX(1,N1+N2).
+C
+C C (output) DOUBLE PRECISION array, dimension (LDC,N1+N2)
+C The leading P2-by-N part of this array contains the
+C state/output matrix C for the cascaded system.
+C If OVER = 'O', the array C can overlap C1, if UPLO = 'L',
+C or C2, if UPLO = 'U'.
+C
+C LDC INTEGER
+C The leading dimension of array C.
+C LDC >= MAX(1,P2) if N1+N2 > 0.
+C LDC >= 1 if N1+N2 = 0.
+C
+C D (output) DOUBLE PRECISION array, dimension (LDD,M1)
+C The leading P2-by-M1 part of this array contains the
+C input/output matrix D for the cascaded system.
+C If OVER = 'O', the array D can overlap D1, if UPLO = 'L',
+C or D2, if UPLO = 'U'.
+C
+C LDD INTEGER
+C The leading dimension of array D. LDD >= MAX(1,P2).
+C
+C Workspace
+C
+C DWORK DOUBLE PRECISION array, dimension (LDWORK)
+C The array DWORK is not referenced if OVER = 'N'.
+C
+C LDWORK INTEGER
+C The length of the array DWORK.
+C LDWORK >= MAX( 1, P1*MAX(N1, M1, N2, P2) ) if OVER = 'O'.
+C LDWORK >= 1 if OVER = 'N'.
+C
+C Error Indicator
+C
+C INFO INTEGER
+C = 0: successful exit;
+C < 0: if INFO = -i, the i-th argument had an illegal
+C value.
+C
+C METHOD
+C
+C After cascaded inter-connection of the two systems
+C
+C X1' = A1*X1 + B1*U
+C V = C1*X1 + D1*U
+C
+C X2' = A2*X2 + B2*V
+C Y = C2*X2 + D2*V
+C
+C (where ' denotes differentiation with respect to time)
+C
+C the following state-space model will be obtained:
+C
+C X' = A*X + B*U
+C Y = C*X + D*U
+C
+C where matrix A has the form ( A1 0 ),
+C ( B2*C1 A2)
+C
+C matrix B has the form ( B1 ),
+C ( B2*D1 )
+C
+C matrix C has the form ( D2*C1 C2 ) and
+C
+C matrix D has the form ( D2*D1 ).
+C
+C This form is returned by the routine when UPLO = 'L'. Note that
+C when A1 and A2 are block lower triangular, the resulting state
+C matrix is also block lower triangular.
+C
+C By applying a similarity transformation to the system above,
+C using the matrix ( 0 I ), where I is the identity matrix of
+C ( J 0 )
+C order N2, and J is the identity matrix of order N1, the
+C system matrices become
+C
+C A = ( A2 B2*C1 ),
+C ( 0 A1 )
+C
+C B = ( B2*D1 ),
+C ( B1 )
+C
+C C = ( C2 D2*C1 ) and
+C
+C D = ( D2*D1 ).
+C
+C This form is returned by the routine when UPLO = 'U'. Note that
+C when A1 and A2 are block upper triangular (for instance, in the
+C real Schur form), the resulting state matrix is also block upper
+C triangular.
+C
+C REFERENCES
+C
+C None
+C
+C NUMERICAL ASPECTS
+C
+C The algorithm requires P1*(N1+M1)*(N2+P2) operations.
+C
+C CONTRIBUTORS
+C
+C Release 3.0: V. Sima, Katholieke Univ. Leuven, Belgium, and
+C A. Varga, German Aerospace Research Establishment,
+C Oberpfaffenhofen, Germany, Nov. 1996.
+C Supersedes Release 2.0 routine AB05AD by C.J.Benson, Kingston
+C Polytechnic, United Kingdom, January 1982.
+C
+C REVISIONS
+C
+C V. Sima, Research Institute for Informatics, Bucharest, July 2003,
+C Feb. 2004.
+C
+C KEYWORDS
+C
+C Cascade control, continuous-time system, multivariable
+C system, state-space model, state-space representation.
+C
+C ******************************************************************
+C
+C .. Parameters ..
+ DOUBLE PRECISION ZERO, ONE
+ PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
+C .. Scalar Arguments ..
+ CHARACTER OVER, UPLO
+ INTEGER INFO, LDA, LDA1, LDA2, LDB, LDB1, LDB2, LDC,
+ $ LDC1, LDC2, LDD, LDD1, LDD2, LDWORK, M1, N, N1,
+ $ N2, P1, P2
+C .. Array Arguments ..
+ DOUBLE PRECISION A(LDA,*), A1(LDA1,*), A2(LDA2,*), B(LDB,*),
+ $ B1(LDB1,*), B2(LDB2,*), C(LDC,*), C1(LDC1,*),
+ $ C2(LDC2,*), D(LDD,*), D1(LDD1,*), D2(LDD2,*),
+ $ DWORK(*)
+C .. Local Scalars ..
+ LOGICAL LOVER, LUPLO
+ INTEGER I, I1, I2, J, LDWN2, LDWP1, LDWP2
+C .. External Functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+C .. External Subroutines ..
+ EXTERNAL DGEMM, DLACPY, DLASET, XERBLA
+C .. Intrinsic Functions ..
+ INTRINSIC MAX, MIN
+C .. Executable Statements ..
+C
+ LOVER = LSAME( OVER, 'O' )
+ LUPLO = LSAME( UPLO, 'L' )
+ N = N1 + N2
+ INFO = 0
+C
+C Test the input scalar arguments.
+C
+ IF( .NOT.LUPLO .AND. .NOT.LSAME( UPLO, 'U' ) ) THEN
+ INFO = -1
+ ELSE IF( .NOT.LOVER .AND. .NOT.LSAME( OVER, 'N' ) ) THEN
+ INFO = -2
+ ELSE IF( N1.LT.0 ) THEN
+ INFO = -3
+ ELSE IF( M1.LT.0 ) THEN
+ INFO = -4
+ ELSE IF( P1.LT.0 ) THEN
+ INFO = -5
+ ELSE IF( N2.LT.0 ) THEN
+ INFO = -6
+ ELSE IF( P2.LT.0 ) THEN
+ INFO = -7
+ ELSE IF( LDA1.LT.MAX( 1, N1 ) ) THEN
+ INFO = -9
+ ELSE IF( LDB1.LT.MAX( 1, N1 ) ) THEN
+ INFO = -11
+ ELSE IF( ( N1.GT.0 .AND. LDC1.LT.MAX( 1, P1 ) ) .OR.
+ $ ( N1.EQ.0 .AND. LDC1.LT.1 ) ) THEN
+ INFO = -13
+ ELSE IF( LDD1.LT.MAX( 1, P1 ) ) THEN
+ INFO = -15
+ ELSE IF( LDA2.LT.MAX( 1, N2 ) ) THEN
+ INFO = -17
+ ELSE IF( LDB2.LT.MAX( 1, N2 ) ) THEN
+ INFO = -19
+ ELSE IF( ( N2.GT.0 .AND. LDC2.LT.MAX( 1, P2 ) ) .OR.
+ $ ( N2.EQ.0 .AND. LDC2.LT.1 ) ) THEN
+ INFO = -21
+ ELSE IF( LDD2.LT.MAX( 1, P2 ) ) THEN
+ INFO = -23
+ ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
+ INFO = -26
+ ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
+ INFO = -28
+ ELSE IF( ( N.GT.0 .AND. LDC.LT.MAX( 1, P2 ) ) .OR.
+ $ ( N.EQ.0 .AND. LDC.LT.1 ) ) THEN
+ INFO = -30
+ ELSE IF( LDD.LT.MAX( 1, P2 ) ) THEN
+ INFO = -32
+ ELSE IF( ( LOVER.AND.LDWORK.LT.MAX( 1, P1*MAX( N1, M1, N2, P2 )) )
+ $.OR.( .NOT.LOVER.AND.LDWORK.LT.1 ) ) THEN
+ INFO = -34
+ END IF
+C
+ IF ( INFO.NE.0 ) THEN
+C
+C Error return.
+C
+ CALL XERBLA( 'AB05MD', -INFO )
+ RETURN
+ END IF
+C
+C Quick return if possible.
+C
+ IF ( MAX( N, MIN( M1, P2 ) ).EQ.0 )
+ $ RETURN
+C
+C Set row/column indices for storing the results.
+C
+ IF ( LUPLO ) THEN
+ I1 = 1
+ I2 = MIN( N1 + 1, N )
+ ELSE
+ I1 = MIN( N2 + 1, N )
+ I2 = 1
+ END IF
+C
+ LDWN2 = MAX( 1, N2 )
+ LDWP1 = MAX( 1, P1 )
+ LDWP2 = MAX( 1, P2 )
+C
+C Construct the cascaded system matrices, taking the desired block
+C structure and possible overwriting into account.
+C
+C Form the diagonal blocks of matrix A.
+C
+ IF ( LUPLO ) THEN
+C
+C Lower block diagonal structure.
+C
+ IF ( LOVER .AND. LDA1.LE.LDA ) THEN
+ IF ( LDA1.LT.LDA ) THEN
+C
+ DO 20 J = N1, 1, -1
+ DO 10 I = N1, 1, -1
+ A(I,J) = A1(I,J)
+ 10 CONTINUE
+ 20 CONTINUE
+C
+ END IF
+ ELSE
+ CALL DLACPY( 'F', N1, N1, A1, LDA1, A, LDA )
+ END IF
+ IF ( N2.GT.0 )
+ $ CALL DLACPY( 'F', N2, N2, A2, LDA2, A(I2,I2), LDA )
+ ELSE
+C
+C Upper block diagonal structure.
+C
+ IF ( LOVER .AND. LDA2.LE.LDA ) THEN
+ IF ( LDA2.LT.LDA ) THEN
+C
+ DO 40 J = N2, 1, -1
+ DO 30 I = N2, 1, -1
+ A(I,J) = A2(I,J)
+ 30 CONTINUE
+ 40 CONTINUE
+C
+ END IF
+ ELSE
+ CALL DLACPY( 'F', N2, N2, A2, LDA2, A, LDA )
+ END IF
+ IF ( N1.GT.0 )
+ $ CALL DLACPY( 'F', N1, N1, A1, LDA1, A(I1,I1), LDA )
+ END IF
+C
+C Form the off-diagonal blocks of matrix A.
+C
+ IF ( MIN( N1, N2 ).GT.0 ) THEN
+ CALL DLASET( 'F', N1, N2, ZERO, ZERO, A(I1,I2), LDA )
+ CALL DGEMM ( 'No transpose', 'No transpose', N2, N1, P1, ONE,
+ $ B2, LDB2, C1, LDC1, ZERO, A(I2,I1), LDA )
+ END IF
+C
+ IF ( LUPLO ) THEN
+C
+C Form the matrix B.
+C
+ IF ( LOVER .AND. LDB1.LE.LDB ) THEN
+ IF ( LDB1.LT.LDB ) THEN
+C
+ DO 60 J = M1, 1, -1
+ DO 50 I = N1, 1, -1
+ B(I,J) = B1(I,J)
+ 50 CONTINUE
+ 60 CONTINUE
+C
+ END IF
+ ELSE
+ CALL DLACPY( 'F', N1, M1, B1, LDB1, B, LDB )
+ END IF
+C
+ IF ( MIN( N2, M1 ).GT.0 )
+ $ CALL DGEMM ( 'No transpose', 'No transpose', N2, M1, P1,
+ $ ONE, B2, LDB2, D1, LDD1, ZERO, B(I2,1), LDB )
+C
+C Form the matrix C.
+C
+ IF ( N1.GT.0 ) THEN
+ IF ( LOVER ) THEN
+C
+C Workspace: P1*N1.
+C
+ CALL DLACPY( 'F', P1, N1, C1, LDC1, DWORK, LDWP1 )
+ CALL DGEMM ( 'No transpose', 'No transpose', P2, N1, P1,
+ $ ONE, D2, LDD2, DWORK, LDWP1, ZERO, C, LDC )
+ ELSE
+ CALL DGEMM ( 'No transpose', 'No transpose', P2, N1, P1,
+ $ ONE, D2, LDD2, C1, LDC1, ZERO, C, LDC )
+ END IF
+ END IF
+C
+ IF ( MIN( P2, N2 ).GT.0 )
+ $ CALL DLACPY( 'F', P2, N2, C2, LDC2, C(1,I2), LDC )
+C
+C Now form the matrix D.
+C
+ IF ( LOVER ) THEN
+C
+C Workspace: P1*M1.
+C
+ CALL DLACPY( 'F', P1, M1, D1, LDD1, DWORK, LDWP1 )
+ CALL DGEMM ( 'No transpose', 'No transpose', P2, M1, P1,
+ $ ONE, D2, LDD2, DWORK, LDWP1, ZERO, D, LDD )
+ ELSE
+ CALL DGEMM ( 'No transpose', 'No transpose', P2, M1, P1,
+ $ ONE, D2, LDD2, D1, LDD1, ZERO, D, LDD )
+ END IF
+C
+ ELSE
+C
+C Form the matrix B.
+C
+ IF ( LOVER ) THEN
+C
+C Workspace: N2*P1.
+C
+ CALL DLACPY( 'F', N2, P1, B2, LDB2, DWORK, LDWN2 )
+ IF ( MIN( N2, M1 ).GT.0 )
+ $ CALL DGEMM ( 'No transpose', 'No transpose', N2, M1, P1,
+ $ ONE, DWORK, LDWN2, D1, LDD1, ZERO, B(I2,1),
+ $ LDB )
+ ELSE
+ CALL DGEMM ( 'No transpose', 'No transpose', N2, M1, P1,
+ $ ONE, B2, LDB2, D1, LDD1, ZERO, B, LDB )
+ END IF
+C
+ IF ( MIN( N1, M1 ).GT.0 )
+ $ CALL DLACPY( 'F', N1, M1, B1, LDB1, B(I1,1), LDB )
+C
+C Form the matrix C.
+C
+ IF ( LOVER .AND. LDC2.LE.LDC ) THEN
+ IF ( LDC2.LT.LDC ) THEN
+C
+ DO 80 J = N2, 1, -1
+ DO 70 I = P2, 1, -1
+ C(I,J) = C2(I,J)
+ 70 CONTINUE
+ 80 CONTINUE
+C
+ END IF
+ ELSE
+ CALL DLACPY( 'F', P2, N2, C2, LDC2, C, LDC )
+ END IF
+C
+ IF ( MIN( P2, N1 ).GT.0 )
+ $ CALL DGEMM ( 'No transpose', 'No transpose', P2, N1, P1,
+ $ ONE, D2, LDD2, C1, LDC1, ZERO, C(1,I1), LDC )
+C
+C Now form the matrix D.
+C
+ IF ( LOVER ) THEN
+C
+C Workspace: P2*P1.
+C
+ CALL DLACPY( 'F', P2, P1, D2, LDD2, DWORK, LDWP2 )
+ CALL DGEMM ( 'No transpose', 'No transpose', P2, M1, P1,
+ $ ONE, DWORK, LDWP2, D1, LDD1, ZERO, D, LDD )
+ ELSE
+ CALL DGEMM ( 'No transpose', 'No transpose', P2, M1, P1,
+ $ ONE, D2, LDD2, D1, LDD1, ZERO, D, LDD )
+ END IF
+ END IF
+C
+ RETURN
+C *** Last line of AB05MD ***
+ END
Property changes on: trunk/octave-forge/extra/control-devel/devel/dksyn/AB05MD.f
___________________________________________________________________
Added: svn:executable
+ *
Added: trunk/octave-forge/extra/control-devel/devel/dksyn/AB07MD.f
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/dksyn/AB07MD.f (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/dksyn/AB07MD.f 2012-02-11 07:16:37 UTC (rev 9618)
@@ -0,0 +1,224 @@
+ SUBROUTINE AB07MD( JOBD, N, M, P, A, LDA, B, LDB, C, LDC, D, LDD,
+ $ INFO )
+C
+C SLICOT RELEASE 5.0.
+C
+C Copyright (c) 2002-2010 NICONET e.V.
+C
+C This program is free software: you can redistribute it and/or
+C modify it under the terms of the GNU General Public License as
+C published by the Free Software Foundation, either version 2 of
+C the License, or (at your option) any later version.
+C
+C This program is distributed in the hope that it will be useful,
+C but WITHOUT ANY WARRANTY; without even the implied warranty of
+C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+C GNU General Public License for more details.
+C
+C You should have received a copy of the GNU General Public License
+C along with this program. If not, see
+C <http://www.gnu.org/licenses/>.
+C
+C PURPOSE
+C
+C To find the dual of a given state-space representation.
+C
+C ARGUMENTS
+C
+C Mode Parameters
+C
+C JOBD CHARACTER*1
+C Specifies whether or not a non-zero matrix D appears in
+C the given state space model:
+C = 'D': D is present;
+C = 'Z': D is assumed a zero matrix.
+C
+C Input/Output Parameters
+C
+C N (input) INTEGER
+C The order of the state-space representation. N >= 0.
+C
+C M (input) INTEGER
+C The number of system inputs. M >= 0.
+C
+C P (input) INTEGER
+C The number of system outputs. P >= 0.
+C
+C A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
+C On entry, the leading N-by-N part of this array must
+C contain the original state dynamics matrix A.
+C On exit, the leading N-by-N part of this array contains
+C the dual state dynamics matrix A'.
+C
+C LDA INTEGER
+C The leading dimension of array A. LDA >= MAX(1,N).
+C
+C B (input/output) DOUBLE PRECISION array, dimension
+C (LDB,MAX(M,P))
+C On entry, the leading N-by-M part of this array must
+C contain the original input/state matrix B.
+C On exit, the leading N-by-P part of this array contains
+C the dual input/state matrix C'.
+C
+C LDB INTEGER
+C The leading dimension of array B. LDB >= MAX(1,N).
+C
+C C (input/output) DOUBLE PRECISION array, dimension (LDC,N)
+C On entry, the leading P-by-N part of this array must
+C contain the original state/output matrix C.
+C On exit, the leading M-by-N part of this array contains
+C the dual state/output matrix B'.
+C
+C LDC INTEGER
+C The leading dimension of array C.
+C LDC >= MAX(1,M,P) if N > 0.
+C LDC >= 1 if N = 0.
+C
+C D (input/output) DOUBLE PRECISION array, dimension
+C (LDD,MAX(M,P))
+C On entry, if JOBD = 'D', the leading P-by-M part of this
+C array must contain the original direct transmission
+C matrix D.
+C On exit, if JOBD = 'D', the leading M-by-P part of this
+C array contains the dual direct transmission matrix D'.
+C The array D is not referenced if JOBD = 'Z'.
+C
+C LDD INTEGER
+C The leading dimension of array D.
+C LDD >= MAX(1,M,P) if JOBD = 'D'.
+C LDD >= 1 if JOBD = 'Z'.
+C
+C Error Indicator
+C
+C INFO INTEGER
+C = 0: successful exit;
+C < 0: if INFO = -i, the i-th argument had an illegal
+C value.
+C
+C METHOD
+C
+C If the given state-space representation is the M-input/P-output
+C (A,B,C,D), its dual is simply the P-input/M-output (A',C',B',D').
+C
+C REFERENCES
+C
+C None
+C
+C NUMERICAL ASPECTS
+C
+C None
+C
+C CONTRIBUTOR
+C
+C Release 3.0: V. Sima, Katholieke Univ. Leuven, Belgium, Dec. 1996.
+C Supersedes Release 2.0 routine AB07AD by T.W.C.Williams, Kingston
+C Polytechnic, United Kingdom, March 1982.
+C
+C REVISIONS
+C
+C V. Sima, Research Institute for Informatics, Bucharest, Feb. 2004.
+C
+C KEYWORDS
+C
+C Dual system, state-space model, state-space representation.
+C
+C ******************************************************************
+C
+C .. Scalar Arguments ..
+ CHARACTER JOBD
+ INTEGER INFO, LDA, LDB, LDC, LDD, M, N, P
+C .. Array Arguments ..
+ DOUBLE PRECISION A(LDA,*), B(LDB,*), C(LDC,*), D(LDD,*)
+C .. Local Scalars ..
+ LOGICAL LJOBD
+ INTEGER J, MINMP, MPLIM
+C .. External functions ..
+ LOGICAL LSAME
+ EXTERNAL LSAME
+C .. External subroutines ..
+ EXTERNAL DCOPY, DSWAP, XERBLA
+C .. Intrinsic Functions ..
+ INTRINSIC MAX, MIN
+C .. Executable Statements ..
+C
+ INFO = 0
+ LJOBD = LSAME( JOBD, 'D' )
+ MPLIM = MAX( M, P )
+ MINMP = MIN( M, P )
+C
+C Test the input scalar arguments.
+C
+ IF( .NOT.LJOBD .AND. .NOT.LSAME( JOBD, 'Z' ) ) THEN
+ INFO = -1
+ ELSE IF( N.LT.0 ) THEN
+ INFO = -2
+ ELSE IF( M.LT.0 ) THEN
+ INFO = -3
+ ELSE IF( P.LT.0 ) THEN
+ INFO = -4
+ ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
+ INFO = -6
+ ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
+ INFO = -8
+ ELSE IF( ( N.GT.0 .AND. LDC.LT.MAX( 1, MPLIM ) ) .OR.
+ $ ( N.EQ.0 .AND. LDC.LT.1 ) ) THEN
+ INFO = -10
+ ELSE IF( ( LJOBD .AND. LDD.LT.MAX( 1, MPLIM ) ) .OR.
+ $ ( .NOT.LJOBD .AND. LDD.LT.1 ) ) THEN
+ INFO = -12
+ END IF
+C
+ IF ( INFO.NE.0 ) THEN
+C
+C Error return.
+C
+ CALL XERBLA( 'AB07MD', -INFO )
+ RETURN
+ END IF
+C
+C Quick return if possible.
+C
+ IF ( MAX( N, MINMP ).EQ.0 )
+ $ RETURN
+C
+ IF ( N.GT.0 ) THEN
+C
+C Transpose A, if non-scalar.
+C
+ DO 10 J = 1, N - 1
+ CALL DSWAP( N-J, A(J+1,J), 1, A(J,J+1), LDA )
+ 10 CONTINUE
+C
+C Replace B by C' and C by B'.
+C
+ DO 20 J = 1, MPLIM
+ IF ( J.LE.MINMP ) THEN
+ CALL DSWAP( N, B(1,J), 1, C(J,1), LDC )
+ ELSE IF ( J.GT.P ) THEN
+ CALL DCOPY( N, B(1,J), 1, C(J,1), LDC )
+ ELSE
+ CALL DCOPY( N, C(J,1), LDC, B(1,J), 1 )
+ END IF
+ 20 CONTINUE
+C
+ END IF
+C
+ IF ( LJOBD .AND. MINMP.GT.0 ) THEN
+C
+C Transpose D, if non-scalar.
+C
+ DO 30 J = 1, MPLIM
+ IF ( J.LT.MINMP ) THEN
+ CALL DSWAP( MINMP-J, D(J+1,J), 1, D(J,J+1), LDD )
+ ELSE IF ( J.GT.P ) THEN
+ CALL DCOPY( P, D(1,J), 1, D(J,1), LDD )
+ ELSE IF ( J.GT.M ) THEN
+ CALL DCOPY( M, D(J,1), LDD, D(1,J), 1 )
+ END IF
+ 30 CONTINUE
+C
+ END IF
+C
+ RETURN
+C *** Last line of AB07MD ***
+ END
Property changes on: trunk/octave-forge/extra/control-devel/devel/dksyn/AB07MD.f
___________________________________________________________________
Added: svn:executable
+ *
Added: trunk/octave-forge/extra/control-devel/devel/dksyn/AB07ND.f
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/dksyn/AB07ND.f (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/dksyn/AB07ND.f 2012-02-11 07:16:37 UTC (rev 9618)
@@ -0,0 +1,303 @@
+ SUBROUTINE AB07ND( N, M, A, LDA, B, LDB, C, LDC, D, LDD, RCOND,
+ $ IWORK, DWORK, LDWORK, INFO )
+C
+C SLICOT RELEASE 5.0.
+C
+C Copyright (c) 2002-2010 NICONET e.V.
+C
+C This program is free software: you can redistribute it and/or
+C modify it under the terms of the GNU General Public License as
+C published by the Free Software Foundation, either version 2 of
+C the License, or (at your option) any later version.
+C
+C This program is distributed in the hope that it will be useful,
+C but WITHOUT ANY WARRANTY; without even the implied warranty of
+C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+C GNU General Public License for more details.
+C
+C You should have received a copy of the GNU General Public License
+C along with this program. If not, see
+C <http://www.gnu.org/licenses/>.
+C
+C PURPOSE
+C
+C To compute the inverse (Ai,Bi,Ci,Di) of a given system (A,B,C,D).
+C
+C ARGUMENTS
+C
+C Input/Output Parameters
+C
+C N (input) INTEGER
+C The order of the state matrix A. N >= 0.
+C
+C M (input) INTEGER
+C The number of system inputs and outputs. M >= 0.
+C
+C A (input/output) DOUBLE PRECISION array, dimension (LDA,N)
+C On entry, the leading N-by-N part of this array must
+C contain the state matrix A of the original system.
+C On exit, the leading N-by-N part of this array contains
+C the state matrix Ai of the inverse system.
+C
+C LDA INTEGER
+C The leading dimension of the array A. LDA >= MAX(1,N).
+C
+C B (input/output) DOUBLE PRECISION array, dimension (LDB,M)
+C On entry, the leading N-by-M part of this array must
+C contain the input matrix B of the original system.
+C On exit, the leading N-by-M part of this array contains
+C the input matrix Bi of the inverse system.
+C
+C LDB INTEGER
+C The leading dimension of the array B. LDB >= MAX(1,N).
+C
+C C (input/output) DOUBLE PRECISION array, dimension (LDC,N)
+C On entry, the leading M-by-N part of this array must
+C contain the output matrix C of the original system.
+C On exit, the leading M-by-N part of this array contains
+C the output matrix Ci of the inverse system.
+C
+C LDC INTEGER
+C The leading dimension of the array C. LDC >= MAX(1,M).
+C
+C D (input/output) DOUBLE PRECISION array, dimension (LDD,M)
+C On entry, the leading M-by-M part of this array must
+C contain the feedthrough matrix D of the original system.
+C On exit, the leading M-by-M part of this array contains
+C the feedthrough matrix Di of the inverse system.
+C
+C LDD INTEGER
+C The leading dimension of the array D. LDD >= MAX(1,M).
+C
+C RCOND (output) DOUBLE PRECISION
+C The estimated reciprocal condition number of the
+C feedthrough matrix D of the original system.
+C
+C Workspace
+C
+C IWORK INTEGER array, dimension (2*M)
+C
+C DWORK DOUBLE PRECISION array, dimension (LDWORK)
+C On exit, if INFO = 0 or M+1, DWORK(1) returns the optimal
+C value of LDWORK.
+C
+C LDWORK INTEGER
+C The length of the array DWORK. LDWORK >= MAX(1,4*M).
+C For good performance, LDWORK should be larger.
+C
+C Error Indicator
+C
+C INFO INTEGER
+C = 0: successful exit;
+C < 0: if INFO = -i, the i-th argument had an illegal
+C value;
+C = i: the matrix D is exactly singular; the (i,i) diagonal
+C element is zero, i <= M; RCOND was set to zero;
+C = M+1: the matrix D is numerically singular, i.e., RCOND
+C is less than the relative machine precision, EPS
+C (see LAPACK Library routine DLAMCH). The
+C calculations have been completed, but the results
+C could be very inaccurate.
+C
+C METHOD
+C
+C The matrices of the inverse system are computed with the formulas:
+C -1 -1 -1 -1
+C Ai = A - B*D *C, Bi = -B*D , Ci = D *C, Di = D .
+C
+C NUMERICAL ASPECTS
+C
+C The accuracy depends mainly on the condition number of the matrix
+C D to be inverted. The estimated reciprocal condition number is
+C returned in RCOND.
+C
+C CONTRIBUTORS
+C
+C A. Varga, German Aerospace Center, Oberpfaffenhofen, March 2000.
+C D. Sima, University of Bucharest, April 2000.
+C V. Sima, Research Institute for Informatics, Bucharest, Apr. 2000.
+C Based on the routine SYSINV, A. Varga, 1992.
+C
+C REVISIONS
+C
+C A. Varga, German Aerospace Center, Oberpfaffenhofen, July 2000.
+C
+C KEYWORDS
+C
+C Inverse system, state-space model, state-space representation.
+C
+C ******************************************************************
+C
+C .. Parameters ..
+ DOUBLE PRECISION ZERO, ONE
+ PARAMETER ( ZERO = 0.0D0, ONE = 1.0D0 )
+C .. Scalar Arguments ..
+ DOUBLE PRECISION RCOND
+ INTEGER INFO, LDA, LDB, LDC, LDD, LDWORK, M, N
+C .. Array Arguments ..
+ DOUBLE PRECISION A(LDA,*), B(LDB,*), C(LDC,*), D(LDD,*),
+ $ DWORK(*)
+ INTEGER IWORK(*)
+C .. Local Scalars ..
+ DOUBLE PRECISION DNORM
+ INTEGER BL, CHUNK, I, IERR, J, MAXWRK
+ LOGICAL BLAS3, BLOCK
+C .. External Functions ..
+ DOUBLE PRECISION DLAMCH, DLANGE
+ INTEGER ILAENV
+ EXTERNAL DLAMCH, DLANGE, ILAENV
+C .. External Subroutines ..
+ EXTERNAL DCOPY, DGECON, DGEMM, DGEMV, DGETRF, DGETRI,
+ $ DLACPY, XERBLA
+C .. Intrinsic Functions ..
+ INTRINSIC DBLE, MAX, MIN
+C .. Executable Statements ..
+C
+ INFO = 0
+C
+C Test the input scalar arguments.
+C
+ IF( N.LT.0 ) THEN
+ INFO = -1
+ ELSE IF( M.LT.0 ) THEN
+ INFO = -2
+ ELSE IF( LDA.LT.MAX( 1, N ) ) THEN
+ INFO = -4
+ ELSE IF( LDB.LT.MAX( 1, N ) ) THEN
+ INFO = -6
+ ELSE IF( LDC.LT.MAX( 1, M ) ) THEN
+ INFO = -8
+ ELSE IF( LDD.LT.MAX( 1, M ) ) THEN
+ INFO = -10
+ ELSE IF( LDWORK.LT.MAX( 1, 4*M ) ) THEN
+ INFO = -14
+ END IF
+C
+ IF ( INFO.NE.0 ) THEN
+C
+C Error return.
+C
+ CALL XERBLA( 'AB07ND', -INFO )
+ RETURN
+ END IF
+C
+C Quick return if possible.
+C
+ IF ( M.EQ.0 ) THEN
+ RCOND = ONE
+ DWORK(1) = ONE
+ RETURN
+ END IF
+C
+C Factorize D.
+C
+ CALL DGETRF( M, M, D, LDD, IWORK, INFO )
+ IF ( INFO.NE.0 ) THEN
+ RCOND = ZERO
+ RETURN
+ END IF
+C
+C Compute the reciprocal condition number of the matrix D.
+C Workspace: need 4*M.
+C (Note: Comments in the code beginning "Workspace:" describe the
+C minimal amount of workspace needed at that point in the code,
+C as well as the preferred amount for good performance.
+C NB refers to the optimal block size for the immediately
+C following subroutine, as returned by ILAENV.)
+C
+ DNORM = DLANGE( '1-norm', M, M, D, LDD, DWORK )
+ CALL DGECON( '1-norm', M, D, LDD, DNORM, RCOND, DWORK, IWORK(M+1),
+ $ IERR )
+ IF ( RCOND.LT.DLAMCH( 'Epsilon' ) )
+ $ INFO = M + 1
+C -1
+C Compute Di = D .
+C Workspace: need M;
+C prefer M*NB.
+C
+ MAXWRK = MAX( 4*M, M*ILAENV( 1, 'DGETRI', ' ', M, -1, -1, -1 ) )
+ CALL DGETRI( M, D, LDD, IWORK, DWORK, LDWORK, IERR )
+ IF ( N.GT.0 ) THEN
+ CHUNK = LDWORK / M
+ BLAS3 = CHUNK.GE.N .AND. M.GT.1
+ BLOCK = MIN( CHUNK, M ).GT.1
+C -1
+C Compute Bi = -B*D .
+C
+ IF ( BLAS3 ) THEN
+C
+C Enough workspace for a fast BLAS 3 algorithm.
+C
+ CALL DLACPY( 'Full', N, M, B, LDB, DWORK, N )
+ CALL DGEMM( 'NoTranspose', 'NoTranspose', N, M, M, -ONE,
+ $ DWORK, N, D, LDD, ZERO, B, LDB )
+C
+ ELSE IF( BLOCK ) THEN
+C
+C Use as many rows of B as possible.
+C
+ DO 10 I = 1, N, CHUNK
+ BL = MIN( N-I+1, CHUNK )
+ CALL DLACPY( 'Full', BL, M, B(I,1), LDB, DWORK, BL )
+ CALL DGEMM( 'NoTranspose', 'NoTranspose', BL, M, M, -ONE,
+ $ DWORK, BL, D, LDD, ZERO, B(I,1), LDB )
+ 10 CONTINUE
+C
+ ELSE
+C
+C Use a BLAS 2 algorithm.
+C
+ DO 20 I = 1, N
+ CALL DCOPY( M, B(I,1), LDB, DWORK, 1 )
+ CALL DGEMV( 'Transpose', M, M, -ONE, D, LDD, DWORK, 1,
+ $ ZERO, B(I,1), LDB )
+ 20 CONTINUE
+C
+ END IF
+C
+C Compute Ai = A + Bi*C.
+C
+ CALL DGEMM( 'NoTranspose', 'NoTranspose', N, N, M, ONE, B, LDB,
+ $ C, LDC, ONE, A, LDA )
+C -1
+C Compute C <-- D *C.
+C
+ IF ( BLAS3 ) THEN
+C
+C Enough workspace for a fast BLAS 3 algorithm.
+C
+ CALL DLACPY( 'Full', M, N, C, LDC, DWORK, M )
+ CALL DGEMM( 'NoTranspose', 'NoTranspose', M, N, M, ONE,
+ $ D, LDD, DWORK, M, ZERO, C, LDC )
+C
+ ELSE IF( BLOCK ) THEN
+C
+C Use as many columns of C as possible.
+C
+ DO 30 J = 1, N, CHUNK
+ BL = MIN( N-J+1, CHUNK )
+ CALL DLACPY( 'Full', M, BL, C(1,J), LDC, DWORK, M )
+ CALL DGEMM( 'NoTranspose', 'NoTranspose', M, BL, M, ONE,
+ $ D, LDD, DWORK, M, ZERO, C(1,J), LDC )
+ 30 CONTINUE
+C
+ ELSE
+C
+C Use a BLAS 2 algorithm.
+C
+ DO 40 J = 1, N
+ CALL DCOPY( M, C(1,J), 1, DWORK, 1 )
+ CALL DGEMV( 'NoTranspose', M, M, ONE, D, LDD, DWORK, 1,
+ $ ZERO, C(1,J), 1 )
+ 40 CONTINUE
+C
+ END IF
+ END IF
+C
+C Return optimal workspace in DWORK(1).
+C
+ DWORK(1) = DBLE( MAX( MAXWRK, N*M ) )
+ RETURN
+C
+C *** Last line of AB07ND ***
+ END
Property changes on: trunk/octave-forge/extra/control-devel/devel/dksyn/AB07ND.f
___________________________________________________________________
Added: svn:executable
+ *
Added: trunk/octave-forge/extra/control-devel/devel/dksyn/AB13MD.f
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/dksyn/AB13MD.f (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/dksyn/AB13MD.f 2012-02-11 07:16:37 UTC (rev 9618)
@@ -0,0 +1,1782 @@
+ SUBROUTINE AB13MD( FACT, N, Z, LDZ, M, NBLOCK, ITYPE, X, BOUND, D,
+ $ G, IWORK, DWORK, LDWORK, ZWORK, LZWORK, INFO )
+C
+C SLICOT RELEASE 5.0.
+C
+C Copyright (c) 2002-2010 NICONET e.V.
+C
+C This program is free software: you can redistribute it and/or
+C modify it under the terms of the GNU General Public License as
+C published by the Free Software Foundation, either version 2 of
+C the License, or (at your option) any later version.
+C
+C This program is distributed in the hope that it will be useful,
+C but WITHOUT ANY WARRANTY; without even the implied warranty of
+C MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+C GNU General Public License for more details.
+C
+C You should have received a copy of the GNU General Public License
+C along with this program. If not, see
+C <http://www.gnu.org/licenses/>.
+C
+C PURPOSE
+C
+C To compute an upper bound on the structured singular value for a
+C given square complex matrix and a given block structure of the
+C uncertainty.
+C
+C ARGUMENTS
+C
+C Mode Parameters
+C
+C FACT CHARACTER*1
+C Specifies whether or not an information from the
+C previous call is supplied in the vector X.
+C = 'F': On entry, X contains information from the
+C previous call.
+C = 'N': On entry, X does not contain an information from
+C the previous call.
+C
+C Input/Output Parameters
+C
+C N (input) INTEGER
+C The order of the matrix Z. N >= 0.
+C
+C Z (input) COMPLEX*16 array, dimension (LDZ,N)
+C The leading N-by-N part of this array must contain the
+C complex matrix Z for which the upper bound on the
+C structured singular value is to be computed.
+C
+C LDZ INTEGER
+C The leading dimension of the array Z. LDZ >= max(1,N).
+C
+C M (input) INTEGER
+C The number of diagonal blocks in the block structure of
+C the uncertainty. M >= 1.
+C
+C NBLOCK (input) INTEGER array, dimension (M)
+C The vector of length M containing the block structure
+C of the uncertainty. NBLOCK(I), I = 1:M, is the size of
+C each block.
+C
+C ITYPE (input) INTEGER array, dimension (M)
+C The vector of length M indicating the type of each block.
+C For I = 1:M,
+C ITYPE(I) = 1 indicates that the corresponding block is a
+C real block, and
+C ITYPE(I) = 2 indicates that the corresponding block is a
+C complex block.
+C NBLOCK(I) must be equal to 1 if ITYPE(I) is equal to 1.
+C
+C X (input/output) DOUBLE PRECISION array, dimension
+C ( M + MR - 1 ), where MR is the number of the real blocks.
+C On entry, if FACT = 'F' and NBLOCK(1) < N, this array
+C must contain information from the previous call to AB13MD.
+C If NBLOCK(1) = N, this array is not used.
+C On exit, if NBLOCK(1) < N, this array contains information
+C that can be used in the next call to AB13MD for a matrix
+C close to Z.
+C
+C BOUND (output) DOUBLE PRECISION
+C The upper bound on the structured singular value.
+C
+C D, G (output) DOUBLE PRECISION arrays, dimension (N)
+C The vectors of length N containing the diagonal entries
+C of the diagonal N-by-N matrices D and G, respectively,
+C such that the matrix
+C Z'*D^2*Z + sqrt(-1)*(G*Z-Z'*G) - BOUND^2*D^2
+C is negative semidefinite.
+C
+C Workspace
+C
+C IWORK INTEGER array, dimension MAX(4*M-2,N)
+C
+C DWORK DOUBLE PRECISION array, dimension (LDWORK)
+C On exit, if INFO = 0, DWORK(1) contains the optimal value
+C of LDWORK.
+C
+C LDWORK INTEGER
+C The dimension of the array DWORK.
+C LDWORK >= 2*N*N*M - N*N + 9*M*M + N*M + 11*N + 33*M - 11.
+C For best performance
+C LDWORK >= 2*N*N*M - N*N + 9*M*M + N*M + 6*N + 33*M - 11 +
+C MAX( 5*N,2*N*NB )
+C where NB is the optimal blocksize returned by ILAENV.
+C
+C ZWORK COMPLEX*16 array, dimension (LZWORK)
+C On exit, if INFO = 0, ZWORK(1) contains the optimal value
+C of LZWORK.
+C
+C LZWORK INTEGER
+C The dimension of the array ZWORK.
+C LZWORK >= 6*N*N*M + 12*N*N + 6*M + 6*N - 3.
+C For best performance
+C LZWORK >= 6*N*N*M + 12*N*N + 6*M + 3*N - 3 +
+C MAX( 3*N,N*NB )
+C where NB is the optimal blocksize returned by ILAENV.
+C
+C Error Indicator
+C
+C INFO INTEGER
+C = 0: successful exit;
+C < 0: if INFO = -i, the i-th argument had an illegal
+C value;
+C = 1: the block sizes must be positive integers;
+C = 2: the sum of block sizes must be equal to N;
+C = 3: the size of a real block must be equal to 1;
+C = 4: the block type must be either 1 or 2;
+C = 5: errors in solving linear equations or in matrix
+C inversion;
+C = 6: errors in computing eigenvalues or singular values.
+C
+C METHOD
+C
+C The routine computes the upper bound proposed in [1].
+C
+C REFERENCES
+C
+C [1] Fan, M.K.H., Tits, A.L., and Doyle, J.C.
+C Robustness in the presence of mixed parametric uncertainty
+C and unmodeled dynamics.
+C IEEE Trans. Automatic Control, vol. AC-36, 1991, pp. 25-38.
+C
+C NUMERICAL ASPECTS
+C
+C The accuracy and speed of computation depend on the value of
+C the internal threshold TOL.
+C
+C CONTRIBUTORS
+C
+C P.Hr. Petkov, F. Delebecque, D.W. Gu, M.M. Konstantinov and
+C S. Steer with the assistance of V. Sima, September 20...
[truncated message content] |
|
From: <par...@us...> - 2012-03-20 09:37:55
|
Revision: 9975
http://octave.svn.sourceforge.net/octave/?rev=9975&view=rev
Author: paramaniac
Date: 2012-03-20 09:37:44 +0000 (Tue, 20 Mar 2012)
Log Message:
-----------
control-devel: try identification with data from the DaISy library
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/destill.dat
trunk/octave-forge/extra/control-devel/devel/destillation.m
trunk/octave-forge/extra/control-devel/devel/ident.m
Added: trunk/octave-forge/extra/control-devel/devel/destill.dat
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/destill.dat (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/destill.dat 2012-03-20 09:37:44 UTC (rev 9975)
@@ -0,0 +1,90 @@
+ 1.0000000e+00 -1.0400000e-02 -4.3900000e-03 -2.7200000e-04 -1.6500000e+00 2.4000000e+00 -1.0659000e-02 -4.6970000e-03 -2.7005000e-04 -1.5935000e+00 2.4129000e+00 -1.0918000e-02 -5.0039000e-03 -2.6810000e-04 -1.5369000e+00 2.4258000e+00 -1.1177000e-02 -5.3109000e-03 -2.6615000e-04 -1.4804000e+00 2.4387000e+00 6.0000000e+00 2.5000000e+00 1.2500000e-01 6.0031000e+00 2.3955000e+00 1.1933000e-01 6.0061000e+00 2.2910000e+00 1.1366000e-01 6.0092000e+00 2.1865000e+00 1.0799000e-01
+ 2.0000000e+00 -1.0400000e-02 -4.3900000e-03 1.2800000e-03 -1.6500000e+00 2.4000000e+00 -1.0959000e-02 -4.0849000e-03 1.1848000e-03 -1.7391000e+00 2.3601000e+00 -1.1518000e-02 -3.7798000e-03 1.0895000e-03 -1.8282000e+00 2.3203000e+00 -1.2077000e-02 -3.4746000e-03 9.9428000e-04 -1.9173000e+00 2.2804000e+00 6.0000000e+00 2.2500000e+00 1.2500000e-01 6.2421000e+00 2.1415000e+00 9.7958000e-02 6.4843000e+00 2.0330000e+00 7.0915000e-02 6.7264000e+00 1.9245000e+00 4.3873000e-02
+ 3.0000000e+00 -1.0400000e-02 -4.3900000e-03 1.2800000e-03 -1.6500000e+00 2.4000000e+00 -1.0285000e-02 -4.5840000e-03 1.3689000e-03 -1.5108000e+00 2.4502000e+00 -1.0169000e-02 -4.7780000e-03 1.4579000e-03 -1.3716000e+00 2.5003000e+00 -1.0054000e-02 -4.9719000e-03 1.5468000e-03 -1.2324000e+00 2.5505000e+00 5.2700000e+00 2.5000000e+00 1.2500000e-01 5.4182000e+00 2.4821000e+00 1.2282000e-01 5.5664000e+00 2.4642000e+00 1.2064000e-01 5.7147000e+00 2.4462000e+00 1.1846000e-01
+ 4.0000000e+00 -1.1400000e-02 -5.5600000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -1.2438000e-02 -5.1901000e-03 2.0450000e-04 -1.5446000e+00 2.3874000e+00 -1.3476000e-02 -4.8203000e-03 1.4100000e-04 -1.4393000e+00 2.3749000e+00 -1.4514000e-02 -4.4504000e-03 7.7507000e-05 -1.3339000e+00 2.3623000e+00 5.3484000e+00 2.9520000e+00 1.6353000e-01 5.1410000e+00 3.0277000e+00 1.4610000e-01 4.9336000e+00 3.1035000e+00 1.2866000e-01 4.7262000e+00 3.1792000e+00 1.1123000e-01
+ 5.0000000e+00 -1.0000000e-02 -5.5600000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -9.2498000e-03 -5.3846000e-03 3.9294000e-04 -1.5390000e+00 2.3223000e+00 -8.4995000e-03 -5.2093000e-03 5.1788000e-04 -1.4281000e+00 2.2447000e+00 -7.7493000e-03 -5.0339000e-03 6.4282000e-04 -1.3171000e+00 2.1670000e+00 4.7848000e+00 2.6458000e+00 1.7332000e-01 4.5651000e+00 2.8254000e+00 1.8735000e-01 4.3453000e+00 3.0050000e+00 2.0138000e-01 4.1256000e+00 3.1846000e+00 2.1541000e-01
+ 6.0000000e+00 -1.0000000e-02 -5.5600000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -1.0352000e-02 -5.6249000e-03 -2.2045000e-04 -1.5728000e+00 2.3870000e+00 -1.0704000e-02 -5.6897000e-03 -7.0890000e-04 -1.4956000e+00 2.3740000e+00 -1.1056000e-02 -5.7546000e-03 -1.1973000e-03 -1.4184000e+00 2.3610000e+00 4.2827000e+00 2.5501000e+00 2.0925000e-01 3.8357000e+00 2.3967000e+00 2.1192000e-01 3.3886000e+00 2.2433000e+00 2.1459000e-01 2.9415000e+00 2.0900000e+00 2.1726000e-01
+ 7.0000000e+00 -1.0000000e-02 -5.1200000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -9.9391000e-03 -5.2635000e-03 3.7720000e-04 -1.6507000e+00 2.3962000e+00 -9.8782000e-03 -5.4069000e-03 4.8640000e-04 -1.6514000e+00 2.3923000e+00 -9.8173000e-03 -5.5504000e-03 5.9559000e-04 -1.6522000e+00 2.3885000e+00 3.9305000e+00 2.8592000e+00 2.1557000e-01 3.8642000e+00 2.8830000e+00 2.1155000e-01 3.7978000e+00 2.9069000e+00 2.0753000e-01 3.7315000e+00 2.9308000e+00 2.0351000e-01
+ 8.0000000e+00 -1.0000000e-02 -5.1200000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -9.7408000e-03 -5.0490000e-03 1.1760000e-04 -1.5532000e+00 2.4231000e+00 -9.4817000e-03 -4.9780000e-03 -3.2791000e-05 -1.4564000e+00 2.4462000e+00 -9.2225000e-03 -4.9070000e-03 -1.8319000e-04 -1.3596000e+00 2.4692000e+00 3.8649000e+00 2.8845000e+00 2.2987000e-01 3.6075000e+00 3.1259000e+00 1.9765000e-01 3.3501000e+00 3.3672000e+00 1.6543000e-01 3.0927000e+00 3.6086000e+00 1.3320000e-01
+ 9.0000000e+00 -1.0000000e-02 -5.1200000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -9.9021000e-03 -5.0396000e-03 -4.1025000e-05 -1.5957000e+00 2.3928000e+00 -9.8042000e-03 -4.9593000e-03 -3.5005000e-04 -1.5414000e+00 2.3855000e+00 -9.7063000e-03 -4.8789000e-03 -6.5908000e-04 -1.4871000e+00 2.3783000e+00 3.7419000e+00 2.7948000e+00 2.2801000e-01 3.3762000e+00 2.7514000e+00 2.2010000e-01 3.0105000e+00 2.7081000e+00 2.1218000e-01 2.6448000e+00 2.6648000e+00 2.0427000e-01
+ 1.0000000e+01 -1.0000000e-02 -5.1200000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -1.0343000e-02 -5.4106000e-03 3.1594000e-04 -1.3950000e+00 2.3587000e+00 -1.0686000e-02 -5.7011000e-03 3.6388000e-04 -1.1400000e+00 2.3173000e+00 -1.1029000e-02 -5.9917000e-03 4.1183000e-04 -8.8493000e-01 2.2760000e+00 3.6718000e+00 2.8928000e+00 2.2714000e-01 3.7848000e+00 2.9432000e+00 2.5143000e-01 3.8978000e+00 2.9936000e+00 2.7571000e-01 4.0108000e+00 3.0440000e+00 3.0000000e-01
+ 1.1000000e+01 -1.0000000e-02 -5.1200000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -1.0226000e-02 -5.3023000e-03 3.6179000e-04 -1.5861000e+00 2.3526000e+00 -1.0452000e-02 -5.4846000e-03 4.5558000e-04 -1.5222000e+00 2.3052000e+00 -1.0677000e-02 -5.6669000e-03 5.4938000e-04 -1.4584000e+00 2.2578000e+00 3.5832000e+00 2.9168000e+00 2.2198000e-01 3.5820000e+00 3.1659000e+00 2.1867000e-01 3.5808000e+00 3.4151000e+00 2.1535000e-01 3.5796000e+00 3.6643000e+00 2.1204000e-01
+ 1.2000000e+01 -1.0000000e-02 -6.0000000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -9.5299000e-03 -5.7560000e-03 7.0490000e-04 -1.7340000e+00 2.2462000e+00 -9.0598000e-03 -5.5120000e-03 1.1418000e-03 -1.8180000e+00 2.0924000e+00 -8.5897000e-03 -5.2680000e-03 1.5787000e-03 -1.9020000e+00 1.9387000e+00 3.4686000e+00 2.9119000e+00 2.2145000e-01 3.9777000e+00 2.8650000e+00 1.9528000e-01 4.4868000e+00 2.8180000e+00 1.6911000e-01 4.9959000e+00 2.7710000e+00 1.4294000e-01
+ 1.3000000e+01 -1.0000000e-02 -6.0000000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -9.8895000e-03 -6.0137000e-03 4.7649000e-04 -1.7308000e+00 2.3659000e+00 -9.7790000e-03 -6.0274000e-03 6.8499000e-04 -1.8117000e+00 2.3319000e+00 -9.6686000e-03 -6.0411000e-03 8.9348000e-04 -1.8925000e+00 2.2978000e+00 3.2777000e+00 2.9168000e+00 2.1354000e-01 2.7910000e+00 2.9596000e+00 1.9174000e-01 2.3043000e+00 3.0023000e+00 1.6994000e-01 1.8176000e+00 3.0451000e+00 1.4814000e-01
+ 1.4000000e+01 -1.0000000e-02 -6.4500000e-03 2.6800000e-04 -1.6500000e+00 2.4000000e+00 -9.5061000e-03 -6.2607000e-03 2.1609000e-05 -1.9006000e+00 2.3921000e+00 -9.0121000e-03 -6.0713000e-03 -2.2478000e-04 -2.1513000e+00 2.3843000e+00 -8.5182000e-03 -5.8820000e-03 -4.7117000e-04 -2.4019000e+00 2.3764000e+00 3.1201000e+00 3.1389000e+00 2.2694000e-01 3.0555000e+00 3.0418000e+00 2.0318000e-01 2.9909000e+00 2.9447000e+00 1.7943000e-01 2.9263000e+00 2.8477000e+00 1.5568000e-01
+ 1.5000000e+01 -1.0000000e-02 -6.0000000e-03 2.6800000e-04 -1.6200000e+00 2.4000000e+00 -9.8522000e-03 -6.1540000e-03 4.3850000e-04 -1.7872000e+00 2.4177000e+00 -9.7044000e-03 -6.3080000e-03 6.0899000e-04 -1.9544000e+00 2.4354000e+00 -9.5567000e-03 -6.4620000e-03 7.7949000e-04 -2.1216000e+00 2.4531000e+00 2.9211000e+00 3.0321000e+00 2.2017000e-01 2.9007000e+00 3.0691000e+00 2.4330000e-01 2.8803000e+00 3.1062000e+00 2.6642000e-01 2.8599000e+00 3.1433000e+00 2.8955000e-01
+ 1.6000000e+01 -1.0000000e-02 -6.0000000e-03 2.6800000e-04 -1.5700000e+00 2.4000000e+00 -9.9232000e-03 -6.1494000e-03 7.9039000e-05 -1.6122000e+00 2.3826000e+00 -9.8463000e-03 -6.2988000e-03 -1.0992000e-04 -1.6544000e+00 2.3652000e+00 -9.7695000e-03 -6.4483000e-03 -2.9888000e-04 -1.6966000e+00 2.3477000e+00 2.8234000e+00 3.1692000e+00 2.3392000e-01 2.8239000e+00 3.2094000e+00 2.4222000e-01 2.8245000e+00 3.2495000e+00 2.5052000e-01 2.8250000e+00 3.2897000e+00 2.5882000e-01
+ 1.7000000e+01 -8.1100000e-03 -6.0000000e-03 2.6800000e-04 -1.5200000e+00 2.4000000e+00 -8.0051000e-03 -6.0785000e-03 1.3751000e-04 -1.6308000e+00 2.2910000e+00 -7.9002000e-03 -6.1570000e-03 7.0187000e-06 -1.7416000e+00 2.1820000e+00 -7.7954000e-03 -6.2355000e-03 -1.2347000e-04 -1.8523000e+00 2.0730000e+00 2.7371000e+00 3.0404000e+00 2.1953000e-01 2.8835000e+00 2.9277000e+00 2.2945000e-01 3.0300000e+00 2.8150000e+00 2.3938000e-01 3.1764000e+00 2.7023000e+00 2.4930000e-01
+ 1.8000000e+01 -8.1100000e-03 -6.0000000e-03 2.6800000e-04 -1.4600000e+00 2.4000000e+00 -7.5022000e-03 -5.8381000e-03 3.6007000e-04 -1.3992000e+00 2.3374000e+00 -6.8943000e-03 -5.6763000e-03 4.5214000e-04 -1.3384000e+00 2.2747000e+00 -6.2865000e-03 -5.5144000e-03 5.4421000e-04 -1.2777000e+00 2.2121000e+00 2.4015000e+00 3.0114000e+00 2.2374000e-01 2.4428000e+00 2.8489000e+00 2.4844000e-01 2.4840000e+00 2.6864000e+00 2.7315000e-01 2.5253000e+00 2.5239000e+00 2.9785000e-01
+ 1.9000000e+01 -9.0500000e-03 -6.0000000e-03 2.6800000e-04 -1.5200000e+00 2.4000000e+00 -9.2082000e-03 -6.3851000e-03 1.4122000e-04 -1.7152000e+00 2.4338000e+00 -9.3664000e-03 -6.7702000e-03 1.4437000e-05 -1.9105000e+00 2.4677000e+00 -9.5246000e-03 -7.1553000e-03 -1.1234000e-04 -2.1057000e+00 2.5015000e+00 1.9171000e+00 3.0979000e+00 2.2805000e-01 1.6696000e+00 3.0350000e+00 2.0325000e-01 1.4221000e+00 2.9721000e+00 1.7845000e-01 1.1747000e+00 2.9093000e+00 1.5366000e-01
+ 2.0000000e+01 -1.0000000e-02 -5.5600000e-03 -2.4300000e-04 -1.6300000e+00 2.4000000e+00 -1.0148000e-02 -5.5019000e-03 -3.1451000e-04 -1.7103000e+00 2.4791000e+00 -1.0296000e-02 -5.4439000e-03 -3.8603000e-04 -1.7907000e+00 2.5581000e+00 -1.0444000e-02 -5.3858000e-03 -4.5754000e-04 -1.8710000e+00 2.6372000e+00 1.8330000e+00 3.0971000e+00 2.4962000e-01 1.4907000e+00 3.2552000e+00 2.6208000e-01 1.1483000e+00 3.4133000e+00 2.7454000e-01 8.0603000e-01 3.5714000e+00 2.8700000e-01
+ 2.1000000e+01 -1.0000000e-02 -6.0000000e-03 -1.2700000e-03 -1.4400000e+00 2.4000000e+00 -9.8463000e-03 -6.0890000e-03 -1.3097000e-03 -1.3828000e+00 2.4415000e+00 -9.6926000e-03 -6.1781000e-03 -1.3493000e-03 -1.3257000e+00 2.4830000e+00 -9.5389000e-03 -6.2671000e-03 -1.3890000e-03 -1.2685000e+00 2.5245000e+00 2.1251000e+00 3.1977000e+00 2.4977000e-01 1.6897000e+00 3.3249000e+00 2.6690000e-01 1.2543000e+00 3.4521000e+00 2.8402000e-01 8.1887000e-01 3.5794000e+00 3.0115000e-01
+ 2.2000000e+01 -1.0000000e-02 -6.0000000e-03 -1.2700000e-03 -1.1800000e+00 2.4000000e+00 -1.0067000e-02 -5.9522000e-03 -1.3481000e-03 -1.2677000e+00 2.3334000e+00 -1.0133000e-02 -5.9044000e-03 -1.4262000e-03 -1.3553000e+00 2.2668000e+00 -1.0200000e-02 -5.8566000e-03 -1.5042000e-03 -1.4430000e+00 2.2002000e+00 2.5680000e+00 3.1039000e+00 2.0153000e-01 2.7658000e+00 3.2104000e+00 2.1181000e-01 2.9637000e+00 3.3170000e+00 2.2209000e-01 3.1616000e+00 3.4235000e+00 2.3238000e-01
+ 2.3000000e+01 -9.0500000e-03 -6.0000000e-03 -1.7900000e-03 -1.1500000e+00 2.4000000e+00 -8.6590000e-03 -6.3741000e-03 -1.9132000e-03 -9.7930000e-01 2.4331000e+00 -8.2680000e-03 -6.7481000e-03 -2.0363000e-03 -8.0860000e-01 2.4663000e+00 -7.8770000e-03 -7.1222000e-03 -2.1595000e-03 -6.3791000e-01 2.4994000e+00 2.4974000e+00 2.9468000e+00 2.0352000e-01 2.5168000e+00 2.9517000e+00 1.9437000e-01 2.5362000e+00 2.9566000e+00 1.8523000e-01 2.5556000e+00 2.9615000e+00 1.7608000e-01
+ 2.4000000e+01 -9.0500000e-03 -6.0000000e-03 -1.2700000e-03 -1.1500000e+00 2.6000000e+00 -8.6286000e-03 -5.8584000e-03 -1.4010000e-03 -1.1445000e+00 2.5858000e+00 -8.2071000e-03 -5.7169000e-03 -1.5320000e-03 -1.1390000e+00 2.5716000e+00 -7.7857000e-03 -5.5753000e-03 -1.6630000e-03 -1.1334000e+00 2.5574000e+00 2.3983000e+00 2.9211000e+00 2.1952000e-01 2.1591000e+00 2.8560000e+00 1.5850000e-01 1.9198000e+00 2.7910000e+00 9.7481000e-02 1.6806000e+00 2.7259000e+00 3.6460000e-02
+ 2.5000000e+01 -8.5800000e-03 -6.0000000e-03 -1.2700000e-03 -1.1500000e+00 2.6000000e+00 -7.6085000e-03 -5.7387000e-03 -1.0738000e-03 -1.1560000e+00 2.6925000e+00 -6.6370000e-03 -5.4773000e-03 -8.7769000e-04 -1.1621000e+00 2.7851000e+00 -5.6656000e-03 -5.2160000e-03 -6.8154000e-04 -1.1681000e+00 2.8777000e+00 2.4584000e+00 3.0076000e+00 2.3435000e-01 2.3804000e+00 2.9055000e+00 2.2395000e-01 2.3025000e+00 2.8034000e+00 2.1355000e-01 2.2245000e+00 2.7014000e+00 2.0316000e-01
+ 2.6000000e+01 -8.5800000e-03 -5.1200000e-03 -2.3100000e-03 -1.1500000e+00 2.6000000e+00 -8.8066000e-03 -4.9604000e-03 -2.4671000e-03 -1.1722000e+00 2.5120000e+00 -9.0333000e-03 -4.8009000e-03 -2.6241000e-03 -1.1945000e+00 2.4241000e+00 -9.2599000e-03 -4.6413000e-03 -2.7812000e-03 -1.2167000e+00 2.3361000e+00 2.9602000e+00 3.2325000e+00 2.4830000e-01 3.5250000e+00 3.2084000e+00 2.8408000e-01 4.0897000e+00 3.1843000e+00 3.1987000e-01 4.6545000e+00 3.1603000e+00 3.5565000e-01
+ 2.7000000e+01 -8.1100000e-03 -6.0000000e-03 -2.3100000e-03 -8.8700000e-01 2.6000000e+00 -8.2088000e-03 -5.9378000e-03 -2.3603000e-03 -1.0401000e+00 2.6296000e+00 -8.3076000e-03 -5.8756000e-03 -2.4107000e-03 -1.1932000e+00 2.6591000e+00 -8.4064000e-03 -5.8135000e-03 -2.4610000e-03 -1.3462000e+00 2.6887000e+00 3.2147000e+00 3.2550000e+00 2.5772000e-01 3.0144000e+00 3.2143000e+00 2.7936000e-01 2.8142000e+00 3.1737000e+00 3.0100000e-01 2.6139000e+00 3.1331000e+00 3.2265000e-01
+ 2.8000000e+01 -8.1100000e-03 -6.0000000e-03 -2.8300000e-03 -6.2800000e-01 2.6000000e+00 -8.0506000e-03 -6.0363000e-03 -2.8737000e-03 -6.1147000e-01 2.4941000e+00 -7.9912000e-03 -6.0726000e-03 -2.9174000e-03 -5.9494000e-01 2.3883000e+00 -7.9318000e-03 -6.1088000e-03 -2.9612000e-03 -5.7841000e-01 2.2824000e+00 3.5592000e+00 2.8417000e+00 2.2996000e-01 3.6252000e+00 2.8285000e+00 2.3100000e-01 3.6913000e+00 2.8153000e+00 2.3204000e-01 3.7574000e+00 2.8022000e+00 2.3308000e-01
+ 2.9000000e+01 -8.1100000e-03 -6.0000000e-03 -2.3100000e-03 -3.6800000e-01 2.6000000e+00 -7.4390000e-03 -5.7691000e-03 -2.4230000e-03 -1.2502000e-01 2.5263000e+00 -6.7680000e-03 -5.5383000e-03 -2.5361000e-03 1.1796000e-01 2.4527000e+00 -6.0970000e-03 -5.3074000e-03 -2.6491000e-03 3.6094000e-01 2.3790000e+00 3.8800000e+00 3.3347000e+00 2.7369000e-01 4.2093000e+00 3.4414000e+00 2.5885000e-01 4.5386000e+00 3.5481000e+00 2.4401000e-01 4.8679000e+00 3.6549000e+00 2.2917000e-01
+ 3.0000000e+01 -8.1100000e-03 -6.8900000e-03 -1.7900000e-03 -1.5000000e-01 2.6000000e+00 -8.1427000e-03 -6.9830000e-03 -1.6257000e-03 -2.3537000e-01 2.5974000e+00 -8.1754000e-03 -7.0761000e-03 -1.4614000e-03 -3.2074000e-01 2.5947000e+00 -8.2080000e-03 -7.1691000e-03 -1.2970000e-03 -4.0611000e-01 2.5921000e+00 4.1670000e+00 2.9729000e+00 2.8215000e-01 5.0902000e+00 3.2445000e+00 2.9861000e-01 6.0134000e+00 3.5161000e+00 3.1507000e-01 6.9366000e+00 3.7876000e+00 3.3153000e-01
+ 3.1000000e+01 -8.1100000e-03 -6.8900000e-03 -1.7900000e-03 -1.5000000e-01 2.6000000e+00 -7.7217000e-03 -7.3738000e-03 -1.4332000e-03 -1.3246000e-01 2.5818000e+00 -7.3333000e-03 -7.8577000e-03 -1.0764000e-03 -1.1493000e-01 2.5636000e+00 -6.9450000e-03 -8.3415000e-03 -7.1955000e-04 -9.7388000e-02 2.5454000e+00 4.3459000e+00 2.9723000e+00 3.3015000e-01 4.2200000e+00 2.8469000e+00 3.3739000e-01 4.0941000e+00 2.7214000e+00 3.4464000e-01 3.9682000e+00 2.5960000e+00 3.5188000e-01
+ 3.2000000e+01 -8.5800000e-03 -6.8900000e-03 -1.7900000e-03 -1.5000000e-01 2.5000000e+00 -8.9395000e-03 -7.0709000e-03 -1.6212000e-03 2.7393000e-02 2.5422000e+00 -9.2990000e-03 -7.2519000e-03 -1.4524000e-03 2.0479000e-01 2.5844000e+00 -9.6585000e-03 -7.4328000e-03 -1.2835000e-03 3.8218000e-01 2.6265000e+00 4.2638000e+00 3.0142000e+00 3.7856000e-01 4.4925000e+00 3.1608000e+00 3.7870000e-01 4.7212000e+00 3.3073000e+00 3.7885000e-01 4.9499000e+00 3.4539000e+00 3.7900000e-01
+ 3.3000000e+01 -9.6500000e-03 -8.0300000e-03 -2.7700000e-03 -1.5000000e-01 2.5000000e+00 -1.0124000e-02 -8.1392000e-03 -2.7701000e-03 -1.5904000e-01 2.4351000e+00 -1.0598000e-02 -8.2483000e-03 -2.7701000e-03 -1.6808000e-01 2.3702000e+00 -1.1071000e-02 -8.3575000e-03 -2.7702000e-03 -1.7712000e-01 2.3052000e+00 4.2233000e+00 2.6614000e+00 4.0165000e-01 3.8132000e+00 2.7557000e+00 4.0762000e-01 3.4030000e+00 2.8499000e+00 4.1359000e-01 2.9929000e+00 2.9441000e+00 4.1956000e-01
+ 3.4000000e+01 -9.6500000e-03 -7.5900000e-03 -2.7700000e-03 -7.0400000e-02 2.4000000e+00 -9.8886000e-03 -7.5130000e-03 -2.6090000e-03 -3.5762000e-02 2.5028000e+00 -1.0127000e-02 -7.4361000e-03 -2.4481000e-03 -1.1244000e-03 2.6056000e+00 -1.0366000e-02 -7.3591000e-03 -2.2871000e-03 3.3513000e-02 2.7084000e+00 4.2274000e+00 2.6252000e+00 4.2001000e-01 3.6293000e+00 2.6520000e+00 4.4817000e-01 3.0312000e+00 2.6788000e+00 4.7633000e-01 2.4331000e+00 2.7056000e+00 5.0449000e-01
+ 3.5000000e+01 -9.6500000e-03 -7.5900000e-03 -2.7700000e-03 1.8900000e-01 2.4000000e+00 -9.1538000e-03 -7.8698000e-03 -2.6721000e-03 -1.0486000e-01 2.3035000e+00 -8.6576000e-03 -8.1497000e-03 -2.5742000e-03 -3.9873000e-01 2.2070000e+00 -8.1613000e-03 -8.4295000e-03 -2.4763000e-03 -6.9259000e-01 2.1105000e+00 4.3601000e+00 2.5025000e+00 4.3395000e-01 4.4036000e+00 2.4557000e+00 4.2552000e-01 4.4471000e+00 2.4088000e+00 4.1708000e-01 4.4906000e+00 2.3620000e+00 4.0865000e-01
+ 3.6000000e+01 -8.5800000e-03 -6.4500000e-03 -1.7900000e-03 3.5000000e-01 2.4000000e+00 -8.0422000e-03 -6.3899000e-03 -2.0811000e-03 3.8924000e-01 2.3906000e+00 -7.5044000e-03 -6.3297000e-03 -2.3722000e-03 4.2848000e-01 2.3812000e+00 -6.9666000e-03 -6.2696000e-03 -2.6633000e-03 4.6772000e-01 2.3718000e+00 4.5674000e+00 2.4155000e+00 4.3055000e-01 4.6759000e+00 2.4793000e+00 4.4529000e-01 4.7844000e+00 2.5430000e+00 4.6003000e-01 4.8930000e+00 2.6067000e+00 4.7477000e-01
+ 3.7000000e+01 -1.0000000e-02 -6.4500000e-03 -1.7900000e-03 3.5000000e-01 2.4000000e+00 -9.1584000e-03 -6.5983000e-03 -1.8317000e-03 4.3041000e-01 2.3783000e+00 -8.3168000e-03 -6.7465000e-03 -1.8734000e-03 5.1082000e-01 2.3567000e+00 -7.4752000e-03 -6.8948000e-03 -1.9150000e-03 5.9123000e-01 2.3350000e+00 4.4076000e+00 2.1410000e+00 4.6492000e-01 4.3382000e+00 2.2809000e+00 4.4467000e-01 4.2689000e+00 2.4208000e+00 4.2441000e-01 4.1995000e+00 2.5608000e+00 4.0416000e-01
+ 3.8000000e+01 -1.0000000e-02 -6.4500000e-03 -1.7900000e-03 3.5000000e-01 2.4000000e+00 -1.0043000e-02 -6.5086000e-03 -1.5879000e-03 4.9797000e-01 2.4900000e+00 -1.0085000e-02 -6.5672000e-03 -1.3858000e-03 6.4594000e-01 2.5801000e+00 -1.0128000e-02 -6.6259000e-03 -1.1837000e-03 7.9392000e-01 2.6701000e+00 4.2593000e+00 1.9789000e+00 4.8322000e-01 4.0249000e+00 2.0979000e+00 4.9566000e-01 3.7906000e+00 2.2168000e+00 5.0809000e-01 3.5562000e+00 2.3358000e+00 5.2053000e-01
+ 3.9000000e+01 -1.0000000e-02 -6.4500000e-03 -1.7900000e-03 3.5000000e-01 2.4000000e+00 -1.0066000e-02 -6.5764000e-03 -1.4095000e-03 3.4152000e-01 2.4294000e+00 -1.0132000e-02 -6.7027000e-03 -1.0291000e-03 3.3304000e-01 2.4588000e+00 -1.0197000e-02 -6.8291000e-03 -6.4861000e-04 3.2456000e-01 2.4882000e+00 4.3621000e+00 1.8267000e+00 4.9650000e-01 4.9541000e+00 1.7993000e+00 5.2035000e-01 5.5461000e+00 1.7719000e+00 5.4421000e-01 6.1381000e+00 1.7444000e+00 5.6807000e-01
+ 4.0000000e+01 -1.0000000e-02 -6.4500000e-03 -2.3100000e-03 3.5000000e-01 2.4000000e+00 -9.6045000e-03 -6.1103000e-03 -2.1029000e-03 2.9386000e-01 2.4111000e+00 -9.2090000e-03 -5.7705000e-03 -1.8957000e-03 2.3773000e-01 2.4222000e+00 -8.8134000e-03 -5.4308000e-03 -1.6886000e-03 1.8159000e-01 2.4333000e+00 4.1125000e+00 1.6935000e+00 5.0336000e-01 4.2310000e+00 1.8415000e+00 4.8853000e-01 4.3495000e+00 1.9895000e+00 4.7371000e-01 4.4681000e+00 2.1374000e+00 4.5888000e-01
+ 4.1000000e+01 -1.0000000e-02 -6.4500000e-03 -2.3100000e-03 3.5000000e-01 2.4000000e+00 -1.0372000e-02 -6.2627000e-03 -2.0434000e-03 3.5428000e-01 2.4804000e+00 -1.0744000e-02 -6.0754000e-03 -1.7769000e-03 3.5857000e-01 2.5609000e+00 -1.1116000e-02 -5.8881000e-03 -1.5103000e-03 3.6285000e-01 2.6413000e+00 3.8938000e+00 1.5852000e+00 5.1278000e-01 3.3947000e+00 1.4672000e+00 5.2729000e-01 2.8955000e+00 1.3491000e+00 5.4180000e-01 2.3964000e+00 1.2310000e+00 5.5631000e-01
+ 4.2000000e+01 -1.0000000e-02 -6.0000000e-03 -2.3100000e-03 3.5000000e-01 2.4000000e+00 -9.9960000e-03 -6.1879000e-03 -2.4667000e-03 1.2606000e-01 2.3168000e+00 -9.9920000e-03 -6.3758000e-03 -2.6233000e-03 -9.7888000e-02 2.2335000e+00 -9.9880000e-03 -6.5638000e-03 -2.7800000e-03 -3.2183000e-01 2.1503000e+00 3.6691000e+00 1.4379000e+00 5.2045000e-01 3.8958000e+00 1.5013000e+00 5.0036000e-01 4.1224000e+00 1.5646000e+00 4.8028000e-01 4.3491000e+00 1.6279000e+00 4.6019000e-01
+ 4.3000000e+01 -1.0000000e-02 -6.0000000e-03 -2.3100000e-03 3.5000000e-01 2.4000000e+00 -1.0595000e-02 -6.3297000e-03 -2.5344000e-03 4.0221000e-01 2.3467000e+00 -1.1191000e-02 -6.6593000e-03 -2.7589000e-03 4.5441000e-01 2.2933000e+00 -1.1786000e-02 -6.9890000e-03 -2.9833000e-03 5.0662000e-01 2.2400000e+00 3.7127000e+00 1.5561000e+00 5.3106000e-01 3.5787000e+00 1.6848000e+00 5.0909000e-01 3.4447000e+00 1.8135000e+00 4.8712000e-01 3.3108000e+00 1.9422000e+00 4.6515000e-01
+ 4.4000000e+01 -1.0000000e-02 -6.0000000e-03 -2.3100000e-03 3.5000000e-01 2.1000000e+00 -1.0338000e-02 -6.4737000e-03 -2.3443000e-03 1.7640000e-01 2.1879000e+00 -1.0676000e-02 -6.9474000e-03 -2.3786000e-03 2.7961000e-03 2.2758000e+00 -1.1014000e-02 -7.4211000e-03 -2.4129000e-03 -1.7081000e-01 2.3637000e+00 3.7210000e+00 1.4436000e+00 5.2377000e-01 3.4517000e+00 1.5863000e+00 5.4994000e-01 3.1825000e+00 1.7289000e+00 5.7612000e-01 2.9132000e+00 1.8716000e+00 6.0229000e-01
+ 4.5000000e+01 -1.0000000e-02 -5.1200000e-03 -2.3100000e-03 3.5000000e-01 2.1000000e+00 -9.1162000e-03 -5.1785000e-03 -2.5742000e-03 4.4838000e-01 2.2133000e+00 -8.2324000e-03 -5.2370000e-03 -2.8384000e-03 5.4677000e-01 2.3266000e+00 -7.3485000e-03 -5.2955000e-03 -3.1026000e-03 6.4515000e-01 2.4399000e+00 3.6121000e+00 1.3327000e+00 5.1678000e-01 3.7988000e+00 1.3633000e+00 5.2099000e-01 3.9854000e+00 1.3938000e+00 5.2520000e-01 4.1720000e+00 1.4244000e+00 5.2941000e-01
+ 4.6000000e+01 -1.0000000e-02 -4.2500000e-03 -2.3100000e-03 4.2800000e-01 2.3000000e+00 -9.9128000e-03 -4.6077000e-03 -2.3865000e-03 4.7687000e-01 2.2639000e+00 -9.8255000e-03 -4.9654000e-03 -2.4630000e-03 5.2575000e-01 2.2279000e+00 -9.7383000e-03 -5.3231000e-03 -2.5396000e-03 5.7462000e-01 2.1918000e+00 3.5506000e+00 1.4555000e+00 5.1401000e-01 3.8341000e+00 1.5845000e+00 5.4213000e-01 4.1176000e+00 1.7134000e+00 5.7025000e-01 4.4012000e+00 1.8424000e+00 5.9837000e-01
+ 4.7000000e+01 -1.1100000e-02 -5.4100000e-03 -3.2800000e-03 5.3100000e-01 2.3000000e+00 -1.1184000e-02 -5.2773000e-03 -3.2039000e-03 6.7296000e-01 2.3756000e+00 -1.1269000e-02 -5.1446000e-03 -3.1278000e-03 8.1491000e-01 2.4513000e+00 -1.1353000e-02 -5.0120000e-03 -3.0517000e-03 9.5687000e-01 2.5269000e+00 3.7515000e+00 1.2509000e+00 5.0022000e-01 3.4523000e+00 1.1759000e+00 5.0153000e-01 3.1530000e+00 1.1008000e+00 5.0283000e-01 2.8537000e+00 1.0258000e+00 5.0414000e-01
+ 4.8000000e+01 -1.1100000e-02 -5.4100000e-03 -3.2800000e-03 5.0700000e-01 2.3000000e+00 -1.1054000e-02 -5.6937000e-03 -3.4035000e-03 5.8294000e-01 2.2511000e+00 -1.1008000e-02 -5.9774000e-03 -3.5271000e-03 6.5889000e-01 2.2023000e+00 -1.0962000e-02 -6.2611000e-03 -3.6506000e-03 7.3483000e-01 2.1534000e+00 3.8709000e+00 1.0362000e+00 4.8338000e-01 3.2612000e+00 1.0739000e+00 5.0523000e-01 2.6515000e+00 1.1117000e+00 5.2708000e-01 2.0417000e+00 1.1495000e+00 5.4893000e-01
+ 4.9000000e+01 -1.1100000e-02 -5.4100000e-03 -3.2800000e-03 4.5600000e-01 2.3000000e+00 -1.1497000e-02 -5.1569000e-03 -3.4607000e-03 2.9412000e-01 2.2936000e+00 -1.1895000e-02 -4.9038000e-03 -3.6414000e-03 1.3224000e-01 2.2873000e+00 -1.2292000e-02 -4.6507000e-03 -3.8221000e-03 -2.9646000e-02 2.2809000e+00 3.8853000e+00 1.0947000e+00 5.0229000e-01 4.8932000e+00 9.4335000e-01 4.6273000e-01 5.9011000e+00 7.9198000e-01 4.2317000e-01 6.9091000e+00 6.4061000e-01 3.8361000e-01
+ 5.0000000e+01 -1.1100000e-02 -5.4100000e-03 -3.2800000e-03 4.0400000e-01 2.3000000e+00 -1.1277000e-02 -5.3226000e-03 -3.4023000e-03 1.3293000e-01 2.2731000e+00 -1.1453000e-02 -5.2353000e-03 -3.5246000e-03 -1.3815000e-01 2.2462000e+00 -1.1630000e-02 -5.1479000e-03 -3.6469000e-03 -4.0922000e-01 2.2193000e+00 4.1241000e+00 1.1992000e+00 4.9448000e-01 3.6120000e+00 1.0315000e+00 4.9565000e-01 3.0999000e+00 8.6387000e-01 4.9681000e-01 2.5878000e+00 6.9623000e-01 4.9798000e-01
+ 5.1000000e+01 -1.1100000e-02 -5.4100000e-03 -3.2800000e-03 3.5200000e-01 2.3000000e+00 -1.1076000e-02 -5.2356000e-03 -3.2745000e-03 3.1088000e-01 2.2498000e+00 -1.1053000e-02 -5.0612000e-03 -3.2690000e-03 2.6976000e-01 2.1997000e+00 -1.1029000e-02 -4.8868000e-03 -3.2634000e-03 2.2864000e-01 2.1495000e+00 4.3256000e+00 1.2249000e+00 4.9497000e-01 3.9603000e+00 1.2003000e+00 4.5106000e-01 3.5951000e+00 1.1756000e+00 4.0715000e-01 3.2298000e+00 1.1509000e+00 3.6324000e-01
+ 5.2000000e+01 -1.0000000e-02 -4.2500000e-03 -2.3100000e-03 6.0100000e-01 2.6000000e+00 -1.0006000e-02 -4.1881000e-03 -2.2591000e-03 6.5090000e-01 2.5526000e+00 -1.0013000e-02 -4.1262000e-03 -2.2082000e-03 7.0081000e-01 2.5052000e+00 -1.0019000e-02 -4.0643000e-03 -2.1574000e-03 7.5071000e-01 2.4577000e+00 4.5222000e+00 1.2398000e+00 4.8997000e-01 4.5550000e+00 1.3251000e+00 4.6866000e-01 4.5879000e+00 1.4105000e+00 4.4735000e-01 4.6207000e+00 1.4958000e+00 4.2603000e-01
+ 5.3000000e+01 -1.0000000e-02 -4.2500000e-03 -2.3100000e-03 8.4400000e-01 2.6000000e+00 -1.0265000e-02 -4.2771000e-03 -2.4365000e-03 9.3605000e-01 2.5978000e+00 -1.0530000e-02 -4.3042000e-03 -2.5631000e-03 1.0281000e+00 2.5956000e+00 -1.0796000e-02 -4.3313000e-03 -2.6896000e-03 1.1201000e+00 2.5935000e+00 5.0915000e+00 1.5027000e+00 4.8995000e-01 4.9057000e+00 1.4904000e+00 5.0521000e-01 4.7198000e+00 1.4780000e+00 5.2047000e-01 4.5340000e+00 1.4657000e+00 5.3573000e-01
+ 5.4000000e+01 -1.0000000e-02 -4.2500000e-03 -2.3100000e-03 6.8800000e-01 2.6000000e+00 -1.0541000e-02 -4.1291000e-03 -2.3793000e-03 5.3358000e-01 2.5838000e+00 -1.1082000e-02 -4.0082000e-03 -2.4487000e-03 3.7915000e-01 2.5677000e+00 -1.1622000e-02 -3.8873000e-03 -2.5180000e-03 2.2473000e-01 2.5515000e+00 5.1666000e+00 1.2251000e+00 4.9675000e-01 4.8848000e+00 1.1240000e+00 4.8779000e-01 4.6030000e+00 1.0228000e+00 4.7884000e-01 4.3212000e+00 9.2169000e-01 4.6988000e-01
+ 5.5000000e+01 -1.0000000e-02 -4.2500000e-03 -2.3100000e-03 5.6800000e-01 2.6000000e+00 -9.7209000e-03 -4.1387000e-03 -2.3658000e-03 4.0744000e-01 2.5677000e+00 -9.4418000e-03 -4.0274000e-03 -2.4216000e-03 2.4688000e-01 2.5354000e+00 -9.1626000e-03 -3.9161000e-03 -2.4775000e-03 8.6327000e-02 2.5031000e+00 4.6330000e+00 9.2173000e-01 5.5243000e-01 4.1453000e+00 7.8860000e-01 5.8678000e-01 3.6576000e+00 6.5547000e-01 6.2113000e-01 3.1699000e+00 5.2234000e-01 6.5548000e-01
+ 5.6000000e+01 -1.0000000e-02 -4.2500000e-03 -2.3100000e-03 7.2300000e-01 2.6000000e+00 -9.6932000e-03 -4.0361000e-03 -2.1351000e-03 8.5126000e-01 2.7101000e+00 -9.3864000e-03 -3.8222000e-03 -1.9602000e-03 9.7952000e-01 2.8202000e+00 -9.0795000e-03 -3.6083000e-03 -1.7853000e-03 1.1078000e+00 2.9303000e+00 4.8066000e+00 1.1830000e+00 5.5713000e-01 4.7035000e+00 1.2804000e+00 5.2836000e-01 4.6003000e+00 1.3778000e+00 4.9960000e-01 4.4971000e+00 1.4753000e+00 4.7083000e-01
+ 5.7000000e+01 -1.0000000e-02 -4.2500000e-03 -2.3100000e-03 8.5000000e-01 2.6000000e+00 -9.8895000e-03 -4.3482000e-03 -2.3057000e-03 9.2029000e-01 2.6024000e+00 -9.7790000e-03 -4.4464000e-03 -2.3014000e-03 9.9058000e-01 2.6049000e+00 -9.6685000e-03 -4.5447000e-03 -2.2971000e-03 1.0609000e+00 2.6073000e+00 5.1334000e+00 1.3633000e+00 5.5113000e-01 4.9256000e+00 1.5451000e+00 5.4452000e-01 4.7177000e+00 1.7268000e+00 5.3791000e-01 4.5098000e+00 1.9086000e+00 5.3130000e-01
+ 5.8000000e+01 -9.0500000e-03 -4.2500000e-03 -2.3100000e-03 8.5000000e-01 2.6000000e+00 -9.3278000e-03 -4.4650000e-03 -2.3396000e-03 8.5262000e-01 2.5147000e+00 -9.6056000e-03 -4.6799000e-03 -2.3692000e-03 8.5525000e-01 2.4295000e+00 -9.8834000e-03 -4.8949000e-03 -2.3988000e-03 8.5787000e-01 2.3442000e+00 4.9281000e+00 1.0744000e+00 5.7165000e-01 5.0939000e+00 9.8999000e-01 6.1887000e-01 5.2596000e+00 9.0558000e-01 6.6609000e-01 5.4254000e+00 8.2117000e-01 7.1331000e-01
+ 5.9000000e+01 -9.0500000e-03 -4.2500000e-03 -2.3100000e-03 9.1700000e-01 2.6000000e+00 -9.2312000e-03 -4.0758000e-03 -2.4082000e-03 9.2710000e-01 2.4798000e+00 -9.4123000e-03 -3.9015000e-03 -2.5064000e-03 9.3721000e-01 2.3596000e+00 -9.5935000e-03 -3.7273000e-03 -2.6046000e-03 9.4731000e-01 2.2394000e+00 4.6115000e+00 9.4964000e-01 5.9635000e-01 4.0455000e+00 8.9232000e-01 6.1282000e-01 3.4794000e+00 8.3500000e-01 6.2929000e-01 2.9134000e+00 7.7767000e-01 6.4575000e-01
+ 6.0000000e+01 -8.1100000e-03 -4.2500000e-03 -2.3100000e-03 1.1800000e+00 2.6000000e+00 -8.3952000e-03 -3.9801000e-03 -2.5465000e-03 9.8850000e-01 2.6784000e+00 -8.6804000e-03 -3.7101000e-03 -2.7829000e-03 7.9699000e-01 2.7568000e+00 -8.9656000e-03 -3.4402000e-03 -3.0194000e-03 6.0549000e-01 2.8353000e+00 4.4978000e+00 1.1193000e+00 6.0608000e-01 4.3585000e+00 1.1196000e+00 6.2162000e-01 4.2192000e+00 1.1200000e+00 6.3716000e-01 4.0799000e+00 1.1203000e+00 6.5270000e-01
+ 6.1000000e+01 -8.1100000e-03 -4.2500000e-03 -2.3100000e-03 1.3500000e+00 2.6000000e+00 -8.1052000e-03 -3.9558000e-03 -1.9343000e-03 1.5766000e+00 2.6176000e+00 -8.1004000e-03 -3.6616000e-03 -1.5587000e-03 1.8031000e+00 2.6352000e+00 -8.0956000e-03 -3.3674000e-03 -1.1830000e-03 2.0297000e+00 2.6528000e+00 4.5233000e+00 1.1046000e+00 6.1327000e-01 4.4024000e+00 1.0439000e+00 5.9036000e-01 4.2815000e+00 9.8315000e-01 5.6745000e-01 4.1606000e+00 9.2241000e-01 5.4454000e-01
+ 6.2000000e+01 -7.6400000e-03 -4.2500000e-03 -2.3100000e-03 1.3500000e+00 2.6000000e+00 -8.2776000e-03 -4.2338000e-03 -2.3882000e-03 1.2679000e+00 2.6856000e+00 -8.9153000e-03 -4.2176000e-03 -2.4665000e-03 1.1859000e+00 2.7712000e+00 -9.5529000e-03 -4.2013000e-03 -2.5447000e-03 1.1038000e+00 2.8569000e+00 4.0225000e+00 8.8544000e-01 6.4976000e-01 5.0863000e+00 1.1443000e+00 6.6076000e-01 6.1501000e+00 1.4032000e+00 6.7176000e-01 7.2139000e+00 1.6620000e+00 6.8275000e-01
+ 6.3000000e+01 -7.6400000e-03 -4.2500000e-03 -2.3100000e-03 1.2400000e+00 2.6000000e+00 -7.9161000e-03 -4.0966000e-03 -2.2563000e-03 1.2541000e+00 2.6206000e+00 -8.1923000e-03 -3.9432000e-03 -2.2025000e-03 1.2681000e+00 2.6412000e+00 -8.4684000e-03 -3.7898000e-03 -2.1488000e-03 1.2822000e+00 2.6617000e+00 3.7042000e+00 7.5725000e-01 6.8436000e-01 4.1546000e+00 6.7056000e-01 7.0929000e-01 4.6049000e+00 5.8386000e-01 7.3421000e-01 5.0552000e+00 4.9717000e-01 7.5914000e-01
+ 6.4000000e+01 -5.3100000e-03 -4.2500000e-03 -2.3100000e-03 9.8500000e-01 3.0000000e+00 -4.7379000e-03 -4.1251000e-03 -2.1923000e-03 8.7303000e-01 3.0623000e+00 -4.1658000e-03 -4.0003000e-03 -2.0745000e-03 7.6105000e-01 3.1246000e+00 -3.5937000e-03 -3.8754000e-03 -1.9568000e-03 6.4908000e-01 3.1869000e+00 3.4867000e+00 8.2746000e-01 7.0636000e-01 3.7316000e+00 7.6165000e-01 7.2532000e-01 3.9766000e+00 6.9583000e-01 7.4427000e-01 4.2215000e+00 6.3001000e-01 7.6323000e-01
+ 6.5000000e+01 -4.3900000e-03 -4.2500000e-03 -2.3100000e-03 8.5000000e-01 3.2000000e+00 -4.3288000e-03 -4.1858000e-03 -2.5279000e-03 1.0709000e+00 3.1350000e+00 -4.2676000e-03 -4.1216000e-03 -2.7457000e-03 1.2918000e+00 3.0699000e+00 -4.2064000e-03 -4.0574000e-03 -2.9636000e-03 1.5127000e+00 3.0049000e+00 3.2495000e+00 9.1341000e-01 7.3294000e-01 3.2914000e+00 9.3489000e-01 7.3179000e-01 3.3334000e+00 9.5637000e-01 7.3064000e-01 3.3753000e+00 9.7784000e-01 7.2950000e-01
+ 6.6000000e+01 -4.3900000e-03 -4.2500000e-03 -2.3100000e-03 8.5000000e-01 3.4000000e+00 -4.4908000e-03 -4.0450000e-03 -2.1685000e-03 7.7548000e-01 3.4251000e+00 -4.5916000e-03 -3.8399000e-03 -2.0270000e-03 7.0095000e-01 3.4503000e+00 -4.6924000e-03 -3.6349000e-03 -1.8856000e-03 6.2643000e-01 3.4754000e+00 3.1932000e+00 1.1511000e+00 7.4355000e-01 3.5870000e+00 1.1494000e+00 7.3250000e-01 3.9807000e+00 1.1476000e+00 7.2146000e-01 4.3745000e+00 1.1459000e+00 7.1041000e-01
+ 6.7000000e+01 -4.3900000e-03 -4.2500000e-03 -2.3100000e-03 7.3500000e-01 3.4000000e+00 -4.4998000e-03 -4.2547000e-03 -2.0511000e-03 7.4863000e-01 3.5318000e+00 -4.6097000e-03 -4.2593000e-03 -1.7922000e-03 7.6225000e-01 3.6637000e+00 -4.7195000e-03 -4.2640000e-03 -1.5333000e-03 7.7588000e-01 3.7955000e+00 3.5964000e+00 1.5567000e+00 7.6561000e-01 3.7784000e+00 1.4863000e+00 7.7371000e-01 3.9605000e+00 1.4158000e+00 7.8180000e-01 4.1425000e+00 1.3454000e+00 7.8989000e-01
+ 6.8000000e+01 -4.3900000e-03 -7.7800000e-03 -2.3100000e-03 5.2800000e-01 3.4000000e+00 -4.3789000e-03 -8.0199000e-03 -2.6477000e-03 6.3550000e-01 3.2758000e+00 -4.3679000e-03 -8.2599000e-03 -2.9854000e-03 7.4300000e-01 3.1517000e+00 -4.3568000e-03 -8.4998000e-03 -3.3231000e-03 8.5050000e-01 3.0275000e+00 3.8815000e+00 1.6039000e+00 7.8918000e-01 4.4773000e+00 1.6993000e+00 7.8588000e-01 5.0730000e+00 1.7947000e+00 7.8259000e-01 5.6688000e+00 1.8901000e+00 7.7930000e-01
+ 6.9000000e+01 -5.3100000e-03 -9.5800000e-03 -2.3100000e-03 5.8000000e-01 3.0000000e+00 -5.0770000e-03 -9.2474000e-03 -2.5271000e-03 4.7710000e-01 2.9923000e+00 -4.8440000e-03 -8.9148000e-03 -2.7442000e-03 3.7420000e-01 2.9845000e+00 -4.6110000e-03 -8.5821000e-03 -2.9612000e-03 2.7130000e-01 2.9768000e+00 3.7679000e+00 1.6928000e+00 7.8292000e-01 3.7499000e+00 1.6959000e+00 7.3851000e-01 3.7319000e+00 1.6990000e+00 6.9410000e-01 3.7139000e+00 1.7022000e+00 6.4969000e-01
+ 7.0000000e+01 -6.2400000e-03 -1.0000000e-02 -2.3100000e-03 7.8800000e-01 3.0000000e+00 -7.2261000e-03 -1.0201000e-02 -2.2009000e-03 7.3245000e-01 2.9744000e+00 -8.2121000e-03 -1.0402000e-02 -2.0917000e-03 6.7691000e-01 2.9488000e+00 -9.1982000e-03 -1.0602000e-02 -1.9826000e-03 6.2136000e-01 2.9233000e+00 3.9356000e+00 2.6620000e+00 8.0281000e-01 4.3710000e+00 2.6084000e+00 7.7885000e-01 4.8063000e+00 2.5548000e+00 7.5489000e-01 5.2416000e+00 2.5012000e+00 7.3093000e-01
+ 7.1000000e+01 -6.2400000e-03 -1.0000000e-02 -2.3100000e-03 8.5000000e-01 3.0000000e+00 -6.1101000e-03 -1.0275000e-02 -2.1117000e-03 9.6536000e-01 2.9925000e+00 -5.9803000e-03 -1.0550000e-02 -1.9135000e-03 1.0807000e+00 2.9850000e+00 -5.8504000e-03 -1.0825000e-02 -1.7152000e-03 1.1961000e+00 2.9775000e+00 3.9121000e+00 2.7442000e+00 8.1668000e-01 3.6198000e+00 2.4184000e+00 8.1478000e-01 3.3276000e+00 2.0926000e+00 8.1288000e-01 3.0353000e+00 1.7668000e+00 8.1098000e-01
+ 7.2000000e+01 -6.2400000e-03 -9.5800000e-03 -2.3100000e-03 8.5000000e-01 3.1000000e+00 -6.0069000e-03 -9.5961000e-03 -2.1781000e-03 9.2948000e-01 2.9881000e+00 -5.7738000e-03 -9.6123000e-03 -2.0462000e-03 1.0090000e+00 2.8763000e+00 -5.5406000e-03 -9.6284000e-03 -1.9143000e-03 1.0884000e+00 2.7644000e+00 3.5055000e+00 2.1699000e+00 8.5384000e-01 3.3622000e+00 2.2445000e+00 8.4408000e-01 3.2188000e+00 2.3190000e+00 8.3432000e-01 3.0754000e+00 2.3936000e+00 8.2456000e-01
+ 7.3000000e+01 -5.1300000e-03 -8.4400000e-03 -1.3200000e-03 1.0500000e+00 3.1000000e+00 -5.0667000e-03 -8.5892000e-03 -1.3933000e-03 1.3102000e+00 3.1094000e+00 -5.0033000e-03 -8.7384000e-03 -1.4666000e-03 1.5705000e+00 3.1187000e+00 -4.9400000e-03 -8.8876000e-03 -1.5400000e-03 1.8307000e+00 3.1281000e+00 3.3372000e+00 2.2519000e+00 8.6715000e-01 3.0795000e+00 2.1826000e+00 8.7079000e-01 2.8218000e+00 2.1133000e+00 8.7443000e-01 2.5640000e+00 2.0439000e+00 8.7808000e-01
+ 7.4000000e+01 -7.0100000e-03 -8.4400000e-03 -1.3200000e-03 1.3100000e+00 2.7000000e+00 -6.9911000e-03 -8.3313000e-03 -1.4274000e-03 1.3686000e+00 2.6771000e+00 -6.9721000e-03 -8.2226000e-03 -1.5348000e-03 1.4272000e+00 2.6542000e+00 -6.9532000e-03 -8.1138000e-03 -1.6422000e-03 1.4858000e+00 2.6312000e+00 3.4710000e+00 2.2183000e+00 8.5454000e-01 3.4059000e+00 2.1099000e+00 8.5837000e-01 3.3409000e+00 2.0016000e+00 8.6221000e-01 3.2759000e+00 1.8932000e+00 8.6604000e-01
+ 7.5000000e+01 -5.9000000e-03 -7.2800000e-03 -3.1100000e-04 9.9800000e-01 2.6000000e+00 -5.9879000e-03 -7.0767000e-03 -2.0861000e-04 1.0435000e+00 2.5997000e+00 -6.0758000e-03 -6.8734000e-03 -1.0623000e-04 1.0890000e+00 2.5994000e+00 -6.1637000e-03 -6.6701000e-03 -3.8375000e-06 1.1346000e+00 2.5991000e+00 3.1685000e+00 1.9414000e+00 8.4558000e-01 3.3794000e+00 2.0560000e+00 8.2401000e-01 3.5903000e+00 2.1707000e+00 8.0243000e-01 3.8012000e+00 2.2853000e+00 7.8085000e-01
+ 7.6000000e+01 -3.6200000e-03 -4.9100000e-03 1.7500000e-03 5.8300000e-01 2.4000000e+00 -3.3712000e-03 -4.9399000e-03 1.6630000e-03 3.4507000e-01 2.4335000e+00 -3.1225000e-03 -4.9698000e-03 1.5760000e-03 1.0713000e-01 2.4670000e+00 -2.8737000e-03 -4.9997000e-03 1.4890000e-03 -1.3080000e-01 2.5006000e+00 2.1992000e+00 1.3923000e+00 8.8682000e-01 2.8375000e+00 1.3132000e+00 8.8839000e-01 3.4757000e+00 1.2342000e+00 8.8996000e-01 4.1140000e+00 1.1551000e+00 8.9153000e-01
+ 7.7000000e+01 -2.4500000e-03 -3.6900000e-03 2.8100000e-03 9.3200000e-01 2.4000000e+00 -2.2298000e-03 -3.6668000e-03 3.0118000e-03 1.0114000e+00 2.4791000e+00 -2.0097000e-03 -3.6435000e-03 3.2135000e-03 1.0907000e+00 2.5582000e+00 -1.7895000e-03 -3.6203000e-03 3.4153000e-03 1.1701000e+00 2.6372000e+00 1.5927000e+00 1.3865000e+00 8.5904000e-01 1.8201000e+00 1.3785000e+00 8.5027000e-01 2.0475000e+00 1.3705000e+00 8.4150000e-01 2.2749000e+00 1.3625000e+00 8.3273000e-01
+ 7.8000000e+01 1.1700000e-03 -2.8500000e-03 6.0900000e-03 1.3500000e+00 1.9000000e+00 1.2980000e-03 -3.0027000e-03 6.0397000e-03 1.2539000e+00 1.8695000e+00 1.4260000e-03 -3.1554000e-03 5.9894000e-03 1.1577000e+00 1.8389000e+00 1.5540000e-03 -3.3080000e-03 5.9391000e-03 1.0616000e+00 1.8084000e+00 1.6102000e+00 1.8239000e+00 7.7194000e-01 1.4605000e+00 1.7384000e+00 7.6810000e-01 1.3107000e+00 1.6529000e+00 7.6427000e-01 1.1609000e+00 1.5673000e+00 7.6043000e-01
+ 7.9000000e+01 1.1700000e-03 -2.8500000e-03 6.0900000e-03 5.7700000e-01 1.6000000e+00 1.1128000e-03 -2.5990000e-03 6.1361000e-03 6.0494000e-01 1.6645000e+00 1.0557000e-03 -2.3479000e-03 6.1821000e-03 6.3287000e-01 1.7291000e+00 9.9850000e-04 -2.0969000e-03 6.2282000e-03 6.6081000e-01 1.7936000e+00 -2.1563000e-01 7.1756000e-01 7.5264000e-01 -1.6805000e-01 8.5327000e-01 7.3302000e-01 -1.2047000e-01 9.8897000e-01 7.1340000e-01 -7.2894000e-02 1.1247000e+00 6.9378000e-01
+ 8.0000000e+01 1.1700000e-03 -2.8500000e-03 2.7100000e-03 -1.3300000e-01 1.6000000e+00 8.4652000e-04 -3.1065000e-03 2.6880000e-03 -1.9829000e-01 1.5270000e+00 5.2304000e-04 -3.3630000e-03 2.6660000e-03 -2.6359000e-01 1.4541000e+00 1.9957000e-04 -3.6195000e-03 2.6439000e-03 -3.2888000e-01 1.3811000e+00 -3.5930000e+00 5.3640000e-01 8.3802000e-01 -3.4126000e+00 4.1260000e-01 8.1437000e-01 -3.2322000e+00 2.8881000e-01 7.9072000e-01 -3.0517000e+00 1.6501000e-01 7.6707000e-01
+ 8.1000000e+01 2.4200000e-03 -1.5800000e-03 3.0800000e-04 1.2700000e-01 1.6000000e+00 2.8871000e-03 -1.3440000e-03 2.1626000e-04 -1.2508000e-02 1.6377000e+00 3.3543000e-03 -1.1080000e-03 1.2451000e-04 -1.5202000e-01 1.6755000e+00 3.8214000e-03 -8.7203000e-04 3.2768000e-05 -2.9152000e-01 1.7132000e+00 -4.9767000e+00 7.1496000e-01 7.7592000e-01 -4.7242000e+00 6.1539000e-01 8.3122000e-01 -4.4716000e+00 5.1582000e-01 8.8651000e-01 -4.2191000e+00 4.1624000e-01 9.4181000e-01
+ 8.2000000e+01 2.4200000e-03 -1.5800000e-03 3.0800000e-04 4.9500000e-01 1.6000000e+00 1.8924000e-03 -1.6632000e-03 7.2903000e-04 6.5804000e-01 1.5868000e+00 1.3648000e-03 -1.7464000e-03 1.1501000e-03 8.2109000e-01 1.5737000e+00 8.3724000e-04 -1.8296000e-03 1.5711000e-03 9.8413000e-01 1.5605000e+00 -5.4154000e+00 5.9923000e-01 6.7163000e-01 -5.5082000e+00 5.4797000e-01 6.5288000e-01 -5.6010000e+00 4.9671000e-01 6.3414000e-01 -5.6937000e+00 4.4545000e-01 6.1539000e-01
+ 8.3000000e+01 -2.2600000e-03 -5.3400000e-03 -2.8500000e-03 1.5300000e+00 1.4000000e+00 -2.6583000e-03 -5.2763000e-03 -3.1104000e-03 1.5911000e+00 1.2490000e+00 -3.0566000e-03 -5.2126000e-03 -3.3709000e-03 1.6522000e+00 1.0980000e+00 -3.4549000e-03 -5.1489000e-03 -3.6313000e-03 1.7133000e+00 9.4696000e-01 -6.0386000e+00 2.3668000e-01 6.0841000e-01 -6.3578000e+00 1.6358000e-01 6.3206000e-01 -6.6771000e+00 9.0472000e-02 6.5572000e-01 -6.9963000e+00 1.7369000e-02 6.7938000e-01
+ 8.4000000e+01 -3.4400000e-03 -6.5500000e-03 -3.8700000e-03 2.4600000e+00 1.2000000e+00 -3.3183000e-03 -6.6531000e-03 -3.6185000e-03 2.6327000e+00 1.2213000e+00 -3.1965000e-03 -6.7562000e-03 -3.3670000e-03 2.8054000e+00 1.2426000e+00 -3.0748000e-03 -6.8593000e-03 -3.1155000e-03 2.9780000e+00 1.2639000e+00 -5.0162000e+00 1.2069000e+00 5.1359000e-01 -5.4088000e+00 1.1596000e+00 5.2883000e-01 -5.8014000e+00 1.1122000e+00 5.4406000e-01 -6.1940000e+00 1.0649000e+00 5.5930000e-01
+ 8.5000000e+01 -6.4400000e-03 -8.0000000e-03 -3.8700000e-03 2.9800000e+00 6.0000000e-01 -6.3219000e-03 -8.1023000e-03 -4.1967000e-03 3.2597000e+00 5.7421000e-01 -6.2038000e-03 -8.2046000e-03 -4.5233000e-03 3.5394000e+00 5.4842000e-01 -6.0857000e-03 -8.3070000e-03 -4.8500000e-03 3.8191000e+00 5.2263000e-01 -5.1248000e+00 5.6941000e-01 5.3548000e-01 -4.6035000e+00 6.4193000e-01 5.2181000e-01 -4.0821000e+00 7.1445000e-01 5.0815000e-01 -3.5607000e+00 7.8697000e-01 4.9448000e-01
+ 8.6000000e+01 -6.4400000e-03 -8.4900000e-03 -3.8700000e-03 3.3500000e+00 5.0000000e-01 -5.9762000e-03 -8.6614000e-03 -3.8504000e-03 3.3727000e+00 5.4141000e-01 -5.5125000e-03 -8.8328000e-03 -3.8308000e-03 3.3954000e+00 5.8281000e-01 -5.0487000e-03 -9.0041000e-03 -3.8113000e-03 3.4181000e+00 6.2422000e-01 -5.6309000e+00 -1.9578000e-01 5.5404000e-01 -5.8203000e+00 -3.3297000e-01 5.8310000e-01 -6.0098000e+00 -4.7016000e-01 6.1217000e-01 -6.1992000e+00 -6.0736000e-01 6.4123000e-01
+ 8.7000000e+01 7.9700000e-04 -9.9700000e-04 2.5100000e-03 3.3500000e+00 5.0000000e-01 5.3793000e-04 -1.0019000e-03 2.4942000e-03 3.1559000e+00 5.5466000e-01 2.7887000e-04 -1.0069000e-03 2.4784000e-03 2.9619000e+00 6.0932000e-01 1.9800000e-05 -1.0118000e-03 2.4626000e-03 2.7678000e+00 6.6399000e-01 -5.4050000e+00 1.5689000e-01 5.6458000e-01 -5.3850000e+00 2.8164000e-01 5.7634000e-01 -5.3649000e+00 4.0639000e-01 5.8810000e-01 -5.3449000e+00 5.3114000e-01 5.9985000e-01
+ 8.8000000e+01 2.0800000e-03 -1.8900000e-04 3.6400000e-03 3.0700000e+00 5.0000000e-01 2.4249000e-03 -7.9225000e-06 3.6778000e-03 3.1270000e+00 4.2009000e-01 2.7697000e-03 1.7315000e-04 3.7157000e-03 3.1840000e+00 3.4018000e-01 3.1146000e-03 3.5423000e-04 3.7535000e-03 3.2409000e+00 2.6027000e-01 -6.1498000e+00 -7.0055000e-01 6.1476000e-01 -6.7491000e+00 -7.9030000e-01 6.4429000e-01 -7.3483000e+00 -8.8004000e-01 6.7381000e-01 -7.9475000e+00 -9.6979000e-01 7.0333000e-01
+ 8.9000000e+01 2.0800000e-03 -1.8900000e-04 -1.3200000e-03 2.2900000e+00 1.0000000e-01 2.5137000e-03 -1.3143000e-04 -1.6500000e-03 2.2049000e+00 5.3730000e-02 2.9474000e-03 -7.3852000e-05 -1.9801000e-03 2.1197000e+00 7.4608000e-03 3.3811000e-03 -1.6278000e-05 -2.3101000e-03 2.0346000e+00 -3.8809000e-02 -7.3151000e+00 -1.1301000e+00 5.6295000e-01 -7.3950000e+00 -1.2112000e+00 5.7003000e-01 -7.4750000e+00 -1.2922000e+00 5.7712000e-01 -7.5549000e+00 -1.3733000e+00 5.8420000e-01
+ 9.0000000e+01 2.0800000e-03 -1.8900000e-04 -3.8700000e-03 1.9600000e+00 -2.0000000e-01 1.8843000e-03 -4.7417000e-04 -3.8578000e-03 2.0336000e+00 -1.6252000e-01 1.6886000e-03 -7.5935000e-04 -3.8456000e-03 2.1072000e+00 -1.2504000e-01 1.4929000e-03 -1.0445000e-03 -3.8333000e-03 2.1808000e+00 -8.7558000e-02 -9.1207000e+00 -1.6208000e+00 5.6609000e-01 -9.2560000e+00 -1.7152000e+00 6.0311000e-01 -9.3914000e+00 -1.8096000e+00 6.4013000e-01 -9.5267000e+00 -1.9040000e+00 6.7716000e-01
Added: trunk/octave-forge/extra/control-devel/devel/destillation.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/destillation.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/destillation.m 2012-03-20 09:37:44 UTC (rev 9975)
@@ -0,0 +1,69 @@
+%{
+This file describes the data in the destill.dat file.
+1. Contributed by:
+ Peter Van Overschee
+ K.U.Leuven - ESAT - SISTA
+ K. Mercierlaan 94
+ 3001 Heverlee
+ Pet...@es...
+2. Process/Description:
+ Data of a simulation (not real !) related to the identification
+ of an ethane-ethylene destillationcolumn. The series consists of 4
+ series:
+ U_dest, Y_dest: without noise (original series)
+ U_dest_n10, Y_dest_n10: 10 percent additive white noise
+ U_dest_n20, Y_dest_n20: 20 percent additive white noise
+ U_dest_n30, Y_dest_n30: 30 percent additive white noise
+3. Sampling time
+ 15 min.
+4. Number of samples:
+ 90 samples
+5. Inputs:
+ a. ratio between the reboiler duty and the feed flow
+ b. ratio between the reflux rate and the feed flow
+ c. ratio between the distillate and the feed flow
+ d. input ethane composition
+ e. top pressure
+6. Outputs:
+ a. top ethane composition
+ b. bottom ethylene composition
+ c. top-bottom differential pressure.
+7. References:
+ R.P. Guidorzi, M.P. Losito, T. Muratori, The range error test in the
+ structural identification of linear multivariable systems,
+ IEEE transactions on automatic control, Vol AC-27, pp 1044-1054, oct.
+ 1982.
+8. Known properties/peculiarities
+
+9. Some MATLAB-code to retrieve the data
+ !gunzip destill.dat.Z
+ load destill.dat
+ U=destill(:,1:20);
+ Y=destill(:,21:32);
+ U_dest=U(:,1:5);
+ U_dest_n10=U(:,6:10);
+ U_dest_n20=U(:,11:15);
+ U_dest_n30=U(:,16:20);
+ Y_dest=Y(:,1:3);
+ Y_dest_n10=Y(:,4:6);
+ Y_dest_n20=Y(:,7:9);
+ Y_dest_n30=Y(:,10:12);
+%}
+
+load destill.dat
+U=destill(:,1:20);
+Y=destill(:,21:32);
+U_dest=U(:,1:5);
+U_dest_n10=U(:,6:10);
+U_dest_n20=U(:,11:15);
+U_dest_n30=U(:,16:20);
+Y_dest=Y(:,1:3);
+Y_dest_n10=Y(:,4:6);
+Y_dest_n20=Y(:,7:9);
+Y_dest_n30=Y(:,10:12);
+
+
+dat = iddata (Y_dest, Y_dest)
+
+[sys, x0] = ident (dat, 15) % nobr? 5, 90, ?
+
Added: trunk/octave-forge/extra/control-devel/devel/ident.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/ident.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/ident.m 2012-03-20 09:37:44 UTC (rev 9975)
@@ -0,0 +1,17 @@
+function [sys, x0] = ident (dat, nobr)
+
+ %nobr = 15;
+ meth = 2;
+ alg = 0;
+ jobd = 1;
+ batch = 3;
+ conct = 1;
+ ctrl = 1;
+ rcond = 0.0;
+ tol = -1.0;
+
+ [a, b, c, d, q, ry, s, k, x0] = slident (dat.y{1}, dat.u{1}, nobr, meth, alg, jobd, batch, conct, ctrl, rcond, tol)
+
+ sys = ss (a, b, c, d, -1);
+
+endfunction
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-03-20 14:03:32
|
Revision: 9978
http://octave.svn.sourceforge.net/octave/?rev=9978&view=rev
Author: paramaniac
Date: 2012-03-20 14:03:24 +0000 (Tue, 20 Mar 2012)
Log Message:
-----------
control-devel: add glass furnace data from DaISy library
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/destillation.m
trunk/octave-forge/extra/control-devel/devel/ident.m
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/glass_furnace.m
trunk/octave-forge/extra/control-devel/devel/glassfurnace.dat
Modified: trunk/octave-forge/extra/control-devel/devel/destillation.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/destillation.m 2012-03-20 13:11:38 UTC (rev 9977)
+++ trunk/octave-forge/extra/control-devel/devel/destillation.m 2012-03-20 14:03:24 UTC (rev 9978)
@@ -71,6 +71,8 @@
[y, t] = lsim (sys, U_dest, [], x0);
%[y, t] = lsim (sys, U_dest);
+err = norm (Y_dest - y, 1) / norm (Y_dest, 1)
+
figure (1)
plot (t, Y_dest, 'b')
%plot (t, Y_dest, 'b', t, y, 'r')
Added: trunk/octave-forge/extra/control-devel/devel/glass_furnace.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/glass_furnace.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/glass_furnace.m 2012-03-20 14:03:24 UTC (rev 9978)
@@ -0,0 +1,66 @@
+%{
+This file describes the data in the glassfurnace.dat file.
+1. Contributed by:
+ Peter Van Overschee
+ K.U.Leuven - ESAT - SISTA
+ K. Mercierlaan 94
+ 3001 Heverlee
+ Pet...@es...
+2. Process/Description:
+ Data of a glassfurnace (Philips)
+3. Sampling time
+
+4. Number of samples:
+ 1247 samples
+5. Inputs:
+ a. heating input
+ b. cooling input
+ c. heating input
+6. Outputs:
+ a. 6 outputs from temperature sensors in a cross section of the
+ furnace
+7. References:
+ a. Van Overschee P., De Moor B., N4SID : Subspace Algorithms for
+ the Identification of Combined Deterministic-Stochastic Systems,
+ Automatica, Special Issue on Statistical Signal Processing and Control,
+ Vol. 30, No. 1, 1994, pp. 75-93
+ b. Van Overschee P., "Subspace identification : Theory,
+ Implementation, Application" , Ph.D. Thesis, K.U.Leuven, February 1995.
+8. Known properties/peculiarities
+
+9. Some MATLAB-code to retrieve the data
+ !gunzip glassfurnace.dat.Z
+ load glassfurnace.dat
+ T=glassfurnace(:,1);
+ U=glassfurnace(:,2:4);
+ Y=glassfurnace(:,5:10);
+
+%}
+
+clear all, close all, clc
+
+load glassfurnace.dat
+T=glassfurnace(:,1);
+U=glassfurnace(:,2:4);
+Y=glassfurnace(:,5:10);
+
+
+dat = iddata (Y, U)
+
+[sys, x0] = ident (dat)
+
+
+[y, t] = lsim (sys, U, [], x0);
+
+err = norm (Y - y, 1) / norm (Y, 1)
+
+figure (1)
+p = columns (Y);
+for k = 1 : p
+ subplot (3, 2, k)
+ plot (t, Y(:,k), 'b', t, y(:,k), 'r')
+endfor
+%title ('DaISy: Glass Furnace')
+%legend ('y measured', 'y simulated', 'location', 'southeast')
+
+
Added: trunk/octave-forge/extra/control-devel/devel/glassfurnace.dat
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/glassfurnace.dat (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/glassfurnace.dat 2012-03-20 14:03:24 UTC (rev 9978)
@@ -0,0 +1,1247 @@
+ 1.0000000e+00 -1.4468000e-01 7.7596000e-02 -9.8246000e-02 5.4008000e-02 -1.3230000e-01 -1.2960000e-01 -1.5554000e-01 -9.9894000e-02 -2.4695000e-02
+ 2.0000000e+00 9.4048000e-01 -1.1231000e+00 -1.0854000e+00 -3.7277000e-01 -2.7135000e-01 -2.6489000e-01 -7.4327000e-01 -1.8784000e-01 -1.8057000e-01
+ 3.0000000e+00 -1.0403000e+00 -1.1024000e+00 9.1685000e-01 5.2279000e-02 -2.1389000e-01 -2.0188000e-01 3.2411000e-01 -1.8111000e-01 -1.6080000e-01
+ 4.0000000e+00 9.5769000e-01 -1.1013000e+00 -1.0942000e+00 4.0298000e-02 1.3149000e-02 3.1499000e-02 -4.5266000e-01 -1.7495000e-02 -1.8220000e-02
+ 5.0000000e+00 -1.0389000e+00 -1.0989000e+00 -1.0971000e+00 1.5337000e-01 5.0079000e-02 7.3705000e-02 -5.6444000e-01 4.2433000e-02 8.2910000e-02
+ 6.0000000e+00 9.8630000e-01 -1.0904000e+00 -1.0980000e+00 -1.8162000e-01 -2.7579000e-01 -2.5095000e-01 -7.4893000e-01 1.1320000e-02 7.1121000e-02
+ 7.0000000e+00 9.9855000e-01 8.9971000e-01 9.2272000e-01 5.4645000e-01 3.9452000e-01 4.2848000e-01 4.0050000e-01 3.4929000e-01 3.6463000e-01
+ 8.0000000e+00 9.8714000e-01 9.1704000e-01 -1.1001000e+00 5.2204000e-01 4.7583000e-01 5.1384000e-01 -2.2938000e-01 6.0865000e-01 6.9085000e-01
+ 9.0000000e+00 -1.0378000e+00 9.1221000e-01 -1.0996000e+00 6.4751000e-01 7.8086000e-01 8.2387000e-01 -3.9832000e-01 6.6478000e-01 5.7529000e-01
+ 1.0000000e+01 9.8348000e-01 -1.0799000e+00 -1.0970000e+00 3.1425000e-01 4.7000000e-01 5.1384000e-01 -6.3149000e-01 4.5618000e-01 3.0988000e-01
+ 1.1000000e+01 9.9959000e-01 9.5824000e-01 8.8566000e-01 6.1139000e-01 4.1007000e-01 4.5579000e-01 2.4233000e-01 4.0624000e-01 4.6007000e-01
+ 1.2000000e+01 9.9050000e-01 9.4676000e-01 -1.0919000e+00 3.2182000e-01 5.7436000e-01 6.2337000e-01 -4.4161000e-01 4.0341000e-01 4.2471000e-01
+ 1.3000000e+01 9.9483000e-01 -1.0765000e+00 -1.0875000e+00 1.2381000e-01 2.7099000e-01 3.2016000e-01 -8.4316000e-01 1.2542000e-01 -3.1540000e-02
+ 1.4000000e+01 -1.0453000e+00 1.0005000e+00 -1.0808000e+00 -1.5583000e-02 3.2625000e-01 3.7725000e-01 -9.1418000e-01 -5.0320000e-03 -5.2054000e-02
+ 1.5000000e+01 1.0020000e+00 -1.0736000e+00 9.3453000e-01 4.0750000e-01 6.6126000e-01 7.1619000e-01 2.3441000e-01 1.9916000e-01 1.8137000e-01
+ 1.6000000e+01 1.0013000e+00 -1.0661000e+00 9.3564000e-01 7.3591000e-01 6.0909000e-01 6.6497000e-01 7.2961000e-01 6.0101000e-01 5.5930000e-01
+ 1.7000000e+01 9.8890000e-01 9.5581000e-01 9.4567000e-01 5.8307000e-01 5.0277000e-01 5.5851000e-01 1.0179000e+00 8.6490000e-01 7.1747000e-01
+ 1.8000000e+01 1.0016000e+00 -1.0556000e+00 -1.0642000e+00 8.3819000e-01 1.0346000e+00 1.0945000e+00 1.9565000e-01 9.9024000e-01 9.0910000e-01
+ 1.9000000e+01 -1.0580000e+00 9.9829000e-01 -1.0597000e+00 7.7691000e-01 1.0981000e+00 1.1594000e+00 -3.0466000e-02 8.7779000e-01 8.7981000e-01
+ 2.0000000e+01 9.7905000e-01 1.0026000e+00 9.4998000e-01 1.2074000e+00 1.2799000e+00 1.3434000e+00 1.0329000e+00 1.1856000e+00 1.0129000e+00
+ 2.1000000e+01 -1.0455000e+00 1.0175000e+00 9.4384000e-01 1.2035000e+00 1.2735000e+00 1.3369000e+00 1.5047000e+00 1.3416000e+00 1.3459000e+00
+ 2.2000000e+01 9.5351000e-01 1.0243000e+00 -1.0479000e+00 8.8093000e-01 1.2253000e+00 1.2888000e+00 2.2083000e-01 1.1228000e+00 9.4748000e-01
+ 2.3000000e+01 9.6732000e-01 1.0171000e+00 9.3575000e-01 8.2698000e-01 1.0029000e+00 1.0644000e+00 8.3062000e-01 8.5253000e-01 6.2014000e-01
+ 2.4000000e+01 -1.0577000e+00 -1.0006000e+00 9.4727000e-01 5.9672000e-01 5.5328000e-01 6.1128000e-01 1.2271000e+00 8.9221000e-01 6.9312000e-01
+ 2.5000000e+01 -1.0711000e+00 1.0492000e+00 9.6057000e-01 8.9291000e-01 9.6931000e-01 1.0300000e+00 1.3620000e+00 8.6904000e-01 6.5551000e-01
+ 2.6000000e+01 9.5302000e-01 1.0306000e+00 9.4734000e-01 8.4847000e-01 8.5219000e-01 9.1173000e-01 1.1959000e+00 8.8259000e-01 5.9884000e-01
+ 2.7000000e+01 9.5663000e-01 -1.0233000e+00 9.5487000e-01 7.4517000e-01 8.1475000e-01 8.7354000e-01 1.2092000e+00 7.5873000e-01 6.1481000e-01
+ 2.8000000e+01 -1.0611000e+00 -1.0122000e+00 9.5289000e-01 6.5386000e-01 6.5706000e-01 7.1494000e-01 1.4401000e+00 7.3431000e-01 6.4866000e-01
+ 2.9000000e+01 9.3702000e-01 -1.0138000e+00 -1.0591000e+00 5.1569000e-01 5.3994000e-01 5.9760000e-01 1.7667000e-01 6.4770000e-01 4.4561000e-01
+ 3.0000000e+01 9.4894000e-01 9.9076000e-01 -1.0621000e+00 4.8273000e-01 6.6347000e-01 7.2176000e-01 -2.6872000e-01 4.9921000e-01 1.1484000e-01
+ 3.1000000e+01 -1.1117000e+00 -1.0442000e+00 -1.0620000e+00 5.2058000e-01 6.8122000e-01 7.4006000e-01 -3.4257000e-01 3.8872000e-01 1.1294000e-01
+ 3.2000000e+01 -1.1012000e+00 -1.0306000e+00 -1.0589000e+00 3.9555000e-01 7.7975000e-01 8.3906000e-01 -3.9012000e-01 3.5408000e-01 2.0556000e-02
+ 3.3000000e+01 9.0648000e-01 -1.0472000e+00 -1.0526000e+00 3.6530000e-01 6.5320000e-01 7.1089000e-01 -7.0251000e-01 3.4576000e-01 -5.1312000e-02
+ 3.4000000e+01 -1.0688000e+00 -1.0309000e+00 9.6866000e-01 9.1070000e-01 1.1001000e+00 1.1612000e+00 6.5434000e-01 5.6232000e-01 1.6921000e-01
+ 3.5000000e+01 9.2555000e-01 9.8573000e-01 9.5561000e-01 8.7118000e-01 1.0018000e+00 1.0610000e+00 9.9843000e-01 1.0528000e+00 6.2813000e-01
+ 3.6000000e+01 9.3026000e-01 9.9215000e-01 9.7112000e-01 1.2413000e+00 1.4489000e+00 1.5104000e+00 1.3023000e+00 1.2700000e+00 9.5964000e-01
+ 3.7000000e+01 9.3455000e-01 9.9263000e-01 9.3772000e-01 1.4469000e+00 1.6294000e+00 1.6911000e+00 1.4956000e+00 1.4990000e+00 1.1817000e+00
+ 3.8000000e+01 9.3001000e-01 9.8951000e-01 9.4055000e-01 1.4527000e+00 1.5161000e+00 1.5747000e+00 1.5695000e+00 1.5037000e+00 1.2748000e+00
+ 3.9000000e+01 -1.0759000e+00 9.9559000e-01 9.6449000e-01 1.3753000e+00 1.4551000e+00 1.5114000e+00 1.7910000e+00 1.4951000e+00 1.2577000e+00
+ 4.0000000e+01 9.2616000e-01 9.9567000e-01 9.6034000e-01 1.4840000e+00 1.6066000e+00 1.6625000e+00 1.6334000e+00 1.4728000e+00 1.1114000e+00
+ 4.1000000e+01 -1.0860000e+00 -1.0209000e+00 9.7917000e-01 1.3233000e+00 1.4115000e+00 1.4642000e+00 1.8906000e+00 1.4500000e+00 1.0372000e+00
+ 4.2000000e+01 -1.0961000e+00 -1.0296000e+00 9.7554000e-01 1.2796000e+00 1.4822000e+00 1.5343000e+00 1.8790000e+00 1.3643000e+00 1.0904000e+00
+ 4.3000000e+01 9.1917000e-01 -1.0534000e+00 9.4941000e-01 8.7166000e-01 1.0604000e+00 1.1079000e+00 1.6529000e+00 1.3037000e+00 1.0882000e+00
+ 4.4000000e+01 9.1179000e-01 9.7892000e-01 -1.0582000e+00 7.7936000e-01 9.8432000e-01 1.0306000e+00 4.9049000e-01 1.0934000e+00 8.1175000e-01
+ 4.5000000e+01 9.1206000e-01 9.8104000e-01 9.2706000e-01 1.0279000e+00 1.0948000e+00 1.1414000e+00 1.2305000e+00 1.0946000e+00 8.0948000e-01
+ 4.6000000e+01 -1.1229000e+00 -1.0174000e+00 -1.0696000e+00 6.5657000e-01 8.1861000e-01 8.6270000e-01 4.5342000e-01 1.0834000e+00 7.5244000e-01
+ 4.7000000e+01 -1.1057000e+00 -1.0233000e+00 9.1881000e-01 1.1519000e+00 1.1953000e+00 1.2419000e+00 1.3906000e+00 1.0354000e+00 8.2238000e-01
+ 4.8000000e+01 8.7623000e-01 -1.0281000e+00 -1.0786000e+00 9.4489000e-01 1.1717000e+00 1.2180000e+00 2.9948000e-01 1.0996000e+00 7.6576000e-01
+ 4.9000000e+01 -1.1362000e+00 -1.0132000e+00 -1.0801000e+00 7.9644000e-01 1.0687000e+00 1.1141000e+00 1.9051000e-02 9.0268000e-01 5.9961000e-01
+ 5.0000000e+01 -1.1250000e+00 1.0064000e+00 9.2008000e-01 1.1280000e+00 1.2458000e+00 1.2919000e+00 1.0850000e+00 9.9187000e-01 7.6195000e-01
+ 5.1000000e+01 -1.1409000e+00 -9.9859000e-01 -1.0808000e+00 1.0606000e+00 1.4498000e+00 1.4971000e+00 3.8268000e-01 1.1927000e+00 8.5053000e-01
+ 5.2000000e+01 8.8936000e-01 1.0053000e+00 -1.0782000e+00 7.1272000e-01 1.2275000e+00 1.2730000e+00 -2.7919000e-01 8.0947000e-01 5.0265000e-01
+ 5.3000000e+01 -1.1143000e+00 -9.9675000e-01 9.4492000e-01 8.6945000e-01 8.7190000e-01 9.1388000e-01 8.2157000e-01 7.9969000e-01 5.7336000e-01
+ 5.4000000e+01 8.9135000e-01 9.9384000e-01 9.1082000e-01 9.0853000e-01 7.2950000e-01 7.6988000e-01 1.0106000e+00 8.5234000e-01 6.4523000e-01
+ 5.5000000e+01 -1.1059000e+00 9.9610000e-01 9.3905000e-01 8.5309000e-01 7.8723000e-01 8.2762000e-01 1.3329000e+00 9.7877000e-01 8.8132000e-01
+ 5.6000000e+01 8.9775000e-01 1.0003000e+00 8.8586000e-01 9.1511000e-01 1.0187000e+00 1.0597000e+00 1.2921000e+00 9.9326000e-01 8.8019000e-01
+ 5.7000000e+01 8.8516000e-01 -9.9847000e-01 -1.0771000e+00 3.7970000e-01 4.9135000e-01 5.2717000e-01 -6.9770000e-03 5.7260000e-01 4.7945000e-01
+ 5.8000000e+01 -1.1327000e+00 -1.0082000e+00 -1.0765000e+00 4.4709000e-02 3.9035000e-01 4.2476000e-01 -4.3962000e-01 1.2770000e-01 5.7277000e-03
+ 5.9000000e+01 -1.1153000e+00 -9.9484000e-01 9.5977000e-01 5.4278000e-01 5.5688000e-01 5.9204000e-01 6.7924000e-01 1.8108000e-01 2.0799000e-01
+ 6.0000000e+01 -1.1350000e+00 -9.9671000e-01 -1.0731000e+00 4.0923000e-01 5.5132000e-01 5.8613000e-01 -1.7477000e-01 3.3559000e-01 1.3805000e-01
+ 6.1000000e+01 8.8461000e-01 -1.0045000e+00 9.0168000e-01 3.4599000e-01 2.2660000e-01 2.5867000e-01 6.0000000e-01 3.7951000e-01 3.0724000e-01
+ 6.2000000e+01 -1.1095000e+00 1.0506000e+00 9.4971000e-01 6.5827000e-01 5.1496000e-01 5.4983000e-01 1.1476000e+00 6.4804000e-01 6.0418000e-01
+ 6.3000000e+01 9.1903000e-01 1.0474000e+00 9.5407000e-01 8.6480000e-01 8.1752000e-01 8.5459000e-01 1.2848000e+00 8.9185000e-01 1.0277000e+00
+ 6.4000000e+01 -1.0913000e+00 -9.7037000e-01 9.2607000e-01 1.0237000e+00 9.1937000e-01 9.5734000e-01 1.6643000e+00 1.0607000e+00 1.1783000e+00
+ 6.5000000e+01 -1.1193000e+00 -9.6766000e-01 -1.0781000e+00 5.8454000e-01 5.9462000e-01 6.3053000e-01 4.7776000e-01 8.8096000e-01 9.0794000e-01
+ 6.6000000e+01 8.9639000e-01 1.0619000e+00 -1.0791000e+00 -7.7743000e-03 2.0329000e-01 2.3605000e-01 -2.9192000e-01 4.2775000e-01 5.2737000e-01
+ 6.7000000e+01 9.2704000e-01 1.0694000e+00 9.2522000e-01 2.2123000e-01 3.9841000e-01 4.3310000e-01 6.0622000e-01 3.9698000e-01 3.8403000e-01
+ 6.8000000e+01 9.1236000e-01 1.0775000e+00 -1.0793000e+00 -7.5875000e-02 -8.4802000e-02 -5.2913000e-02 -3.7370000e-01 2.4294000e-01 4.0570000e-01
+ 6.9000000e+01 -1.0848000e+00 -9.4984000e-01 9.6336000e-01 2.0195000e-01 1.7886000e-01 2.1309000e-01 8.0147000e-01 2.3855000e-01 2.2739000e-01
+ 7.0000000e+01 -1.1145000e+00 1.0900000e+00 -1.0785000e+00 -3.6252000e-01 -3.1462000e-01 -2.8569000e-01 -3.0325000e-01 1.4817000e-01 1.7722000e-01
+ 7.1000000e+01 -1.0830000e+00 -9.6937000e-01 9.3053000e-01 1.6410000e-01 -1.0147000e-01 -7.1515000e-02 6.6085000e-01 -2.8458000e-02 1.2816000e-01
+ 7.2000000e+01 9.0839000e-01 -9.7214000e-01 -1.0769000e+00 -2.9219000e-01 -2.4665000e-01 -2.1927000e-01 -5.0529000e-01 -1.0408000e-01 -1.1398000e-02
+ 7.3000000e+01 9.4166000e-01 1.0578000e+00 9.2499000e-01 -7.9779000e-02 -2.1748000e-01 -1.9165000e-01 1.5377000e-01 -2.6476000e-01 -2.4065000e-01
+ 7.4000000e+01 -1.0804000e+00 -9.5093000e-01 9.2795000e-01 4.0265000e-01 2.5346000e-02 5.2337000e-02 9.0815000e-01 4.8096000e-02 7.9104000e-02
+ 7.5000000e+01 -1.0955000e+00 -9.5897000e-01 -1.0776000e+00 1.7096000e-01 6.9798000e-02 9.5755000e-02 -1.3800000e-01 1.2565000e-01 7.1516000e-02
+ 7.6000000e+01 9.1396000e-01 -9.6591000e-01 -1.0764000e+00 -3.5373000e-01 -5.3780000e-01 -5.1722000e-01 -7.0280000e-01 -1.0635000e-01 -1.1708000e-01
+ 7.7000000e+01 9.3279000e-01 1.0634000e+00 -1.0725000e+00 -1.1495000e-01 5.4247000e-02 7.8668000e-02 -9.1983000e-01 -2.5052000e-01 -2.6763000e-01
+ 7.8000000e+01 9.5438000e-01 1.0670000e+00 9.3840000e-01 1.8291000e-01 -9.8965000e-02 -7.6516000e-02 2.1007000e-01 -5.7978000e-02 -3.3443000e-02
+ 7.9000000e+01 9.3005000e-01 1.0657000e+00 9.1626000e-01 5.0442000e-01 2.2714000e-01 2.5219000e-01 7.1998000e-01 2.3500000e-01 4.9314000e-01
+ 8.0000000e+01 -1.0622000e+00 -9.3159000e-01 9.4849000e-01 6.0283000e-01 2.7376000e-01 2.9875000e-01 1.2132000e+00 5.6587000e-01 6.3799000e-01
+ 8.1000000e+01 9.0982000e-01 -9.5724000e-01 -1.0657000e+00 2.6764000e-01 2.9375000e-01 3.1800000e-01 -1.3121000e-03 4.3689000e-01 6.3611000e-01
+ 8.2000000e+01 9.4243000e-01 1.0731000e+00 -1.0636000e+00 2.0171000e-01 8.7552000e-02 1.0909000e-01 -5.7857000e-01 1.3393000e-01 4.3269000e-01
+ 8.3000000e+01 -1.0986000e+00 -9.6180000e-01 -1.0589000e+00 -8.6395000e-02 -1.0510000e-01 -8.6140000e-02 -5.7941000e-01 -3.1892000e-02 1.7529000e-01
+ 8.4000000e+01 9.2199000e-01 -9.5521000e-01 9.4704000e-01 4.8124000e-01 2.4883000e-01 2.6924000e-01 5.6095000e-01 3.1226000e-01 5.0265000e-01
+ 8.5000000e+01 -1.0759000e+00 -9.6373000e-01 9.4076000e-01 7.2127000e-01 5.7629000e-01 5.9760000e-01 1.2452000e+00 6.9391000e-01 7.5662000e-01
+ 8.6000000e+01 9.2152000e-01 -9.5468000e-01 9.4534000e-01 8.6579000e-01 7.1703000e-01 7.3729000e-01 1.4874000e+00 1.0374000e+00 1.1752000e+00
+ 8.7000000e+01 9.2399000e-01 1.0907000e+00 9.5891000e-01 8.7971000e-01 6.6984000e-01 6.8793000e-01 1.6869000e+00 1.3172000e+00 1.5725000e+00
+ 8.8000000e+01 -1.0894000e+00 1.0944000e+00 9.3036000e-01 1.3128000e+00 1.0865000e+00 1.1060000e+00 2.0559000e+00 1.6066000e+00 1.8041000e+00
+ 8.9000000e+01 8.7810000e-01 1.0874000e+00 -1.0595000e+00 1.0172000e+00 1.1009000e+00 1.1184000e+00 7.3893000e-01 1.4831000e+00 1.8318000e+00
+ 9.0000000e+01 -1.1284000e+00 -9.3616000e-01 -1.0617000e+00 7.3054000e-01 6.1962000e-01 6.3174000e-01 3.7957000e-01 1.0957000e+00 1.3281000e+00
+ 9.1000000e+01 8.7872000e-01 1.1065000e+00 -1.0613000e+00 1.7316000e-01 4.2979000e-01 4.3840000e-01 -2.0052000e-01 5.9387000e-01 9.6839000e-01
+ 9.2000000e+01 -1.1285000e+00 -9.0881000e-01 -1.0585000e+00 -1.0323000e-01 1.2606000e-02 1.5662000e-02 -3.7851000e-01 2.6445000e-01 5.7071000e-01
+ 9.3000000e+01 -1.1390000e+00 1.1247000e+00 -1.0532000e+00 -1.5670000e-01 6.7789000e-03 8.2366000e-03 -6.3346000e-01 5.8854000e-02 3.9164000e-01
+ 9.4000000e+01 8.8496000e-01 -9.1499000e-01 9.4370000e-01 -1.0933000e-02 -2.7102000e-02 -2.5899000e-02 2.8422000e-01 -3.4507000e-02 2.8554000e-01
+ 9.5000000e+01 -1.1609000e+00 1.1257000e+00 -1.0419000e+00 -3.5787000e-01 -3.5487000e-01 -3.5521000e-01 -7.0789000e-01 -3.1423000e-01 -2.2550000e-03
+ 9.6000000e+01 -1.1614000e+00 1.1154000e+00 -1.0341000e+00 -4.7068000e-01 -3.3657000e-01 -3.3631000e-01 -9.7558000e-01 -3.8243000e-01 -3.6306000e-01
+ 9.7000000e+01 8.7939000e-01 -9.2065000e-01 9.8439000e-01 -7.4707000e-01 -8.6394000e-01 -8.6701000e-01 -2.1864000e-01 -7.1035000e-01 -4.3075000e-01
+ 9.8000000e+01 -1.1363000e+00 1.0934000e+00 9.7172000e-01 -4.8436000e-01 -7.3793000e-01 -7.4007000e-01 3.5777000e-01 -4.9042000e-01 -2.4141000e-01
+ 9.9000000e+01 8.6164000e-01 -9.1698000e-01 -1.0136000e+00 -7.7169000e-01 -7.9760000e-01 -8.0059000e-01 -8.2731000e-01 -6.9247000e-01 -3.9805000e-01
+ 1.0000000e+02 8.7373000e-01 1.0966000e+00 9.7822000e-01 -7.7759000e-01 -9.3692000e-01 -9.4056000e-01 -1.6345000e-01 -9.1838000e-01 -4.6231000e-01
+ 1.0100000e+02 8.8245000e-01 -9.2164000e-01 9.9757000e-01 -7.4728000e-01 -7.8177000e-01 -7.8475000e-01 2.5703000e-01 -6.0946000e-01 -2.5206000e-01
+ 1.0200000e+02 -1.1651000e+00 1.1199000e+00 -9.9913000e-01 -7.2874000e-01 -9.1998000e-01 -9.2382000e-01 -6.8271000e-01 -5.7346000e-01 -2.2352000e-01
+ 1.0300000e+02 8.5542000e-01 1.1244000e+00 1.0248000e+00 -5.6906000e-01 -9.3804000e-01 -9.4149000e-01 2.0978000e-01 -4.5082000e-01 -3.2240000e-01
+ 1.0400000e+02 -1.1897000e+00 1.1195000e+00 -9.9035000e-01 -9.3701000e-01 -8.7644000e-01 -8.7881000e-01 -7.5261000e-01 -7.1387000e-01 -1.6574000e-01
+ 1.0500000e+02 -1.1475000e+00 1.0958000e+00 1.0340000e+00 -1.0583000e+00 -1.2278000e+00 -1.2323000e+00 1.4893000e-01 -7.2827000e-01 -4.1098000e-01
+ 1.0600000e+02 -1.1842000e+00 -9.2946000e-01 -9.8065000e-01 -1.1912000e+00 -1.2453000e+00 -1.2494000e+00 -8.9890000e-01 -1.0033000e+00 -5.2770000e-01
+ 1.0700000e+02 -1.1471000e+00 -9.5962000e-01 1.0310000e+00 -1.1826000e+00 -1.3150000e+00 -1.3198000e+00 -3.5837000e-02 -1.2404000e+00 -8.0714000e-01
+ 1.0800000e+02 8.3808000e-01 1.0978000e+00 1.0193000e+00 -1.2431000e+00 -1.2242000e+00 -1.2280000e+00 -4.4887000e-02 -1.1908000e+00 -8.1285000e-01
+ 1.0900000e+02 8.4497000e-01 -9.2516000e-01 -9.6862000e-01 -1.5840000e+00 -1.6913000e+00 -1.6997000e+00 -1.2724000e+00 -1.3760000e+00 -9.4498000e-01
+ 1.1000000e+02 -1.1431000e+00 -9.2528000e-01 1.0641000e+00 -1.3027000e+00 -1.6647000e+00 -1.6724000e+00 -1.2440000e-01 -1.4105000e+00 -9.6622000e-01
+ 1.1100000e+02 8.5649000e-01 -9.4405000e-01 1.0451000e+00 -1.0434000e+00 -1.4507000e+00 -1.4561000e+00 1.6705000e-01 -1.1452000e+00 -7.4897000e-01
+ 1.1200000e+02 -1.1524000e+00 -9.2557000e-01 1.0503000e+00 -6.2059000e-01 -9.5636000e-01 -9.5765000e-01 6.6933000e-01 -7.6655000e-01 -2.9386000e-01
+ 1.1300000e+02 -1.1753000e+00 1.1279000e+00 -9.6426000e-01 -7.8394000e-01 -8.0868000e-01 -8.0898000e-01 -4.3285000e-01 -5.8756000e-01 -3.6802000e-01
+ 1.1400000e+02 8.2639000e-01 -9.3871000e-01 -9.6247000e-01 -1.0647000e+00 -1.1803000e+00 -1.1839000e+00 -8.9834000e-01 -7.0721000e-01 -4.5964000e-01
+ 1.1500000e+02 8.3916000e-01 1.1387000e+00 -9.5797000e-01 -1.1106000e+00 -1.0063000e+00 -1.0089000e+00 -1.3383000e+00 -1.1499000e+00 -6.7863000e-01
+ 1.1600000e+02 8.3963000e-01 -9.2259000e-01 1.0479000e+00 -9.2112000e-01 -1.0985000e+00 -1.1023000e+00 -1.9599000e-01 -1.0456000e+00 -7.3300000e-01
+ 1.1700000e+02 8.6721000e-01 1.0868000e+00 1.0511000e+00 -5.4417000e-01 -9.2360000e-01 -9.2693000e-01 3.8071000e-01 -6.4264000e-01 -2.9465000e-01
+ 1.1800000e+02 -1.1537000e+00 1.1044000e+00 1.0615000e+00 -2.0334000e-01 -6.5604000e-01 -6.5812000e-01 7.1969000e-01 -4.6365000e-01 8.9361000e-02
+ 1.1900000e+02 -1.1515000e+00 1.0889000e+00 1.0525000e+00 -3.5570000e-01 -6.2883000e-01 -6.3330000e-01 1.0649000e+00 -6.1640000e-02 3.0875000e-01
+ 1.2000000e+02 8.4187000e-01 -9.3889000e-01 -9.5186000e-01 -6.6160000e-01 -8.5614000e-01 -8.6454000e-01 -3.2927000e-01 -3.1946000e-01 7.1492000e-02
+ 1.2100000e+02 8.2872000e-01 -9.5438000e-01 -9.5130000e-01 -1.1436000e+00 -1.1234000e+00 -1.1370000e+00 -9.6086000e-01 -8.2641000e-01 -4.4024000e-01
+ 1.2200000e+02 8.1257000e-01 -9.5252000e-01 -9.4815000e-01 -1.1907000e+00 -1.1242000e+00 -1.1402000e+00 -1.1898000e+00 -1.0724000e+00 -7.6850000e-01
+ 1.2300000e+02 -1.1706000e+00 1.0889000e+00 1.0883000e+00 -7.2117000e-01 -1.0316000e+00 -1.0486000e+00 9.2626000e-02 -9.1968000e-01 -5.8585000e-01
+ 1.2400000e+02 8.3340000e-01 -9.6426000e-01 1.0558000e+00 -2.4069000e-01 -6.1942000e-01 -6.3486000e-01 6.1245000e-01 -4.3074000e-01 -2.0147000e-02
+ 1.2500000e+02 -1.2061000e+00 1.0904000e+00 -9.4199000e-01 -8.7448000e-01 -1.0463000e+00 -1.0669000e+00 -2.9164000e-01 -3.6467000e-01 1.6274000e-01
+ 1.2600000e+02 -1.1688000e+00 1.0796000e+00 1.0372000e+00 -2.7928000e-01 -6.0857000e-01 -6.2680000e-01 6.5093000e-01 -2.4911000e-01 3.5013000e-02
+ 1.2700000e+02 -1.1873000e+00 -9.6911000e-01 1.0550000e+00 -3.2908000e-01 -4.1067000e-01 -4.2972000e-01 1.0182000e+00 -1.2257000e-01 2.5134000e-01
+ 1.2800000e+02 -1.1852000e+00 -9.8473000e-01 1.0608000e+00 -2.3946000e-01 -6.0024000e-01 -6.2277000e-01 1.1388000e+00 -1.4697000e-01 2.6693000e-01
+ 1.2900000e+02 8.0142000e-01 1.0740000e+00 -9.4984000e-01 -7.2508000e-01 -7.7703000e-01 -8.0277000e-01 -3.8644000e-01 -3.9592000e-01 -4.6740000e-02
+ 1.3000000e+02 8.2125000e-01 -9.8171000e-01 1.0560000e+00 -6.7161000e-01 -1.0202000e+00 -1.0501000e+00 2.5789000e-01 -6.8242000e-01 -4.5203000e-01
+ 1.3100000e+02 -1.1886000e+00 -9.8111000e-01 -9.5894000e-01 -1.2500000e+00 -1.2628000e+00 -1.2969000e+00 -6.1508000e-01 -8.0714000e-01 -4.5620000e-01
+ 1.3200000e+02 8.1088000e-01 1.0577000e+00 -9.6186000e-01 -1.1250000e+00 -1.2650000e+00 -1.3012000e+00 -1.0390000e+00 -1.0056000e+00 -7.5112000e-01
+ 1.3300000e+02 8.3532000e-01 -9.8317000e-01 -9.6267000e-01 -1.1152000e+00 -1.3191000e+00 -1.3580000e+00 -1.2168000e+00 -1.1279000e+00 -9.7237000e-01
+ 1.3400000e+02 8.5719000e-01 -1.0050000e+00 1.0429000e+00 -8.3496000e-01 -9.4552000e-01 -9.8432000e-01 -7.2348000e-02 -9.8788000e-01 -8.4520000e-01
+ 1.3500000e+02 8.4130000e-01 1.0521000e+00 -9.6499000e-01 -9.1723000e-01 -1.0116000e+00 -1.0529000e+00 -8.5278000e-01 -8.4692000e-01 -5.7077000e-01
+ 1.3600000e+02 8.4223000e-01 -1.0042000e+00 -9.6480000e-01 -6.8234000e-01 -6.9016000e-01 -7.3139000e-01 -1.0112000e+00 -7.4244000e-01 -5.3202000e-01
+ 1.3700000e+02 8.2057000e-01 -1.0053000e+00 -9.6268000e-01 -5.7591000e-01 -5.2807000e-01 -5.7028000e-01 -1.0892000e+00 -7.4865000e-01 -5.6576000e-01
+ 1.3800000e+02 8.4258000e-01 -9.8121000e-01 1.0400000e+00 -1.8844000e-01 -4.0651000e-01 -4.4955000e-01 2.7316000e-01 -3.9390000e-01 -2.7030000e-01
+ 1.3900000e+02 -1.1472000e+00 -9.7141000e-01 1.0335000e+00 4.4437000e-01 1.1418000e-01 7.3705000e-02 1.1241000e+00 3.4606000e-01 3.8973000e-01
+ 1.4000000e+02 8.0108000e-01 1.0766000e+00 -9.6343000e-01 2.9056000e-01 4.3419000e-01 3.9400000e-01 2.3496000e-01 6.7449000e-01 8.1138000e-01
+ 1.4100000e+02 8.1642000e-01 -9.5734000e-01 -9.6383000e-01 4.9811000e-01 4.9833000e-01 4.5761000e-01 -1.0489000e-01 5.7854000e-01 7.3988000e-01
+ 1.4200000e+02 8.4182000e-01 1.0966000e+00 1.0438000e+00 7.6204000e-01 6.7902000e-01 6.4042000e-01 9.6928000e-01 7.5362000e-01 9.2124000e-01
+ 1.4300000e+02 8.0424000e-01 1.0584000e+00 -9.6605000e-01 4.9641000e-01 7.1009000e-01 6.7304000e-01 2.6553000e-01 8.6415000e-01 9.7296000e-01
+ 1.4400000e+02 7.7247000e-01 1.0427000e+00 -9.6618000e-01 3.1058000e-01 4.0644000e-01 3.6793000e-01 -1.0969000e-01 5.9980000e-01 9.3152000e-01
+ 1.4500000e+02 -1.2209000e+00 -9.7473000e-01 -9.6459000e-01 1.4699000e-01 3.0070000e-01 2.6181000e-01 -3.1993000e-01 4.0819000e-01 4.8706000e-01
+ 1.4600000e+02 -1.2193000e+00 -9.7887000e-01 1.0449000e+00 2.9092000e-02 -5.9561000e-02 -1.0073000e-01 8.6796000e-01 4.0112000e-01 5.8858000e-01
+ 1.4700000e+02 7.4850000e-01 1.0099000e+00 -9.6313000e-01 1.3236000e-01 2.3073000e-01 1.9259000e-01 -1.5439000e-01 3.9320000e-01 5.0646000e-01
+ 1.4800000e+02 -1.2455000e+00 -1.0050000e+00 -9.6151000e-01 -1.2815000e-01 1.3305000e-01 9.5755000e-02 -4.9453000e-01 8.4736000e-02 1.6731000e-01
+ 1.4900000e+02 -1.2321000e+00 -9.9373000e-01 1.0612000e+00 2.4344000e-01 7.4779000e-02 3.8357000e-02 7.0641000e-01 1.4853000e-01 2.2927000e-01
+ 1.5000000e+02 7.5757000e-01 -9.9660000e-01 -9.6003000e-01 -1.0055000e-01 2.6115000e-03 -3.3363000e-02 -3.9748000e-01 8.6965000e-02 1.6276000e-01
+ 1.5100000e+02 -1.2532000e+00 1.0367000e+00 -9.5842000e-01 -1.7551000e-01 -9.8152000e-02 -1.3301000e-01 -7.3874000e-01 -1.4907000e-01 -3.1540000e-02
+ 1.5200000e+02 7.3266000e-01 1.0593000e+00 -9.5513000e-01 -4.6165000e-01 -3.1990000e-01 -3.5364000e-01 -9.9228000e-01 -4.7216000e-01 -3.1720000e-01
+ 1.5300000e+02 -1.2257000e+00 -9.8268000e-01 1.0749000e+00 -2.0871000e-01 -3.9373000e-01 -4.2659000e-01 2.2479000e-01 -4.2267000e-01 -9.2362000e-02
+ 1.5400000e+02 7.3617000e-01 1.0657000e+00 -9.5028000e-01 -5.7714000e-01 -4.9534000e-01 -5.2686000e-01 -8.0720000e-01 -4.4748000e-01 -3.5930000e-01
+ 1.5500000e+02 7.5229000e-01 -9.7701000e-01 -9.4691000e-01 -7.4582000e-01 -5.7029000e-01 -5.9947000e-01 -1.1777000e+00 -6.9536000e-01 -6.9898000e-01
+ 1.5600000e+02 -1.2511000e+00 -9.8414000e-01 -9.4181000e-01 -9.3723000e-01 -7.9038000e-01 -8.1919000e-01 -1.3969000e+00 -9.5470000e-01 -9.8439000e-01
+ 1.5700000e+02 -1.2588000e+00 -1.0076000e+00 -9.3493000e-01 -9.3968000e-01 -8.6309000e-01 -8.8999000e-01 -1.4178000e+00 -8.8984000e-01 -1.0128000e+00
+ 1.5800000e+02 -1.2573000e+00 -9.8454000e-01 -9.2621000e-01 -8.8231000e-01 -8.4144000e-01 -8.6545000e-01 -1.4444000e+00 -9.9691000e-01 -1.0022000e+00
+ 1.5900000e+02 7.7178000e-01 1.0422000e+00 1.0887000e+00 -6.2473000e-01 -7.1157000e-01 -7.3262000e-01 -3.9154000e-01 -9.0366000e-01 -9.3654000e-01
+ 1.6000000e+02 7.7975000e-01 1.0260000e+00 1.0945000e+00 -4.3700000e-01 -6.4689000e-01 -6.6588000e-01 7.1970000e-02 -4.7409000e-01 -3.7707000e-01
+ 1.6100000e+02 -1.2132000e+00 1.0444000e+00 1.0709000e+00 -2.8441000e-01 -3.4213000e-01 -3.5737000e-01 5.1822000e-01 -2.5584000e-01 -9.0854000e-02
+ 1.6200000e+02 7.4048000e-01 1.0381000e+00 -9.0705000e-01 -6.2378000e-01 -3.7042000e-01 -3.8376000e-01 -6.5553000e-01 -5.5929000e-01 -5.3336000e-01
+ 1.6300000e+02 7.8729000e-01 -9.6624000e-01 1.0877000e+00 -6.1132000e-01 -7.3126000e-01 -7.4598000e-01 -3.7823000e-02 -7.6300000e-01 -8.1232000e-01
+ 1.6400000e+02 8.1498000e-01 -9.7669000e-01 1.1037000e+00 -3.7570000e-01 -6.5133000e-01 -6.6373000e-01 2.8874000e-01 -7.0514000e-01 -5.6179000e-01
+ 1.6500000e+02 8.2105000e-01 1.0655000e+00 1.0959000e+00 -2.9171000e-01 -5.9692000e-01 -6.0724000e-01 5.0351000e-01 -4.6058000e-01 -5.6518000e-01
+ 1.6600000e+02 8.2312000e-01 -9.7955000e-01 1.1040000e+00 1.7876000e-01 4.3981000e-02 4.0516000e-02 7.9498000e-01 -1.0362000e-01 -7.5886000e-02
+ 1.6700000e+02 8.1703000e-01 1.0683000e+00 -9.2538000e-01 -3.2396000e-01 -3.6598000e-01 -3.7228000e-01 -1.9005000e-01 -1.9974000e-02 6.6944000e-02
+ 1.6800000e+02 -1.1981000e+00 -9.6055000e-01 -9.3167000e-01 2.8854000e-02 6.3395000e-02 6.0369000e-02 -3.1851000e-01 -1.1097000e-01 -2.1043000e-01
+ 1.6900000e+02 8.0910000e-01 1.0663000e+00 1.0607000e+00 1.3480000e-01 1.1920000e-01 1.1591000e-01 5.9859000e-01 3.3677000e-02 2.2273000e-02
+ 1.7000000e+02 8.1642000e-01 1.0410000e+00 -9.4531000e-01 -2.1678000e-01 4.1168000e-02 3.6765000e-02 -3.3325000e-01 6.5995000e-02 3.5199000e-02
+ 1.7100000e+02 -1.1752000e+00 -9.8692000e-01 1.0627000e+00 3.2158000e-01 2.1661000e-01 2.1339000e-01 8.6456000e-01 1.1016000e-01 1.9297000e-01
+ 1.7200000e+02 8.1438000e-01 1.0595000e+00 -9.6171000e-01 -2.5338000e-01 -7.5688000e-02 -7.9888000e-02 -2.9786000e-01 6.6587000e-02 -1.4322000e-02
+ 1.7300000e+02 8.2263000e-01 1.0410000e+00 -9.6892000e-01 -4.2943000e-01 -3.6737000e-01 -3.7351000e-01 -7.7696000e-01 -3.0026000e-01 -3.6818000e-01
+ 1.7400000e+02 8.2870000e-01 -9.9659000e-01 -9.7443000e-01 -4.0550000e-01 -2.8521000e-01 -2.9067000e-01 -1.0582000e+00 -4.9303000e-01 -6.1242000e-01
+ 1.7500000e+02 8.0740000e-01 -1.0076000e+00 -9.7826000e-01 -5.2122000e-01 -4.2843000e-01 -4.3498000e-01 -1.1887000e+00 -6.4760000e-01 -6.3707000e-01
+ 1.7600000e+02 -1.2078000e+00 1.0270000e+00 -9.8041000e-01 -3.9036000e-01 -2.2416000e-01 -2.2920000e-01 -1.2390000e+00 -5.8972000e-01 -7.7027000e-01
+ 1.7700000e+02 7.8679000e-01 -1.0176000e+00 -9.8090000e-01 -6.0986000e-01 -2.8494000e-01 -2.9097000e-01 -1.2322000e+00 -5.0588000e-01 -7.0177000e-01
+ 1.7800000e+02 7.9243000e-01 1.0099000e+00 -9.7970000e-01 -6.0569000e-01 -4.3815000e-01 -4.4584000e-01 -1.4193000e+00 -6.4414000e-01 -7.4175000e-01
+ 1.7900000e+02 -1.1799000e+00 -1.0126000e+00 -9.7677000e-01 -4.9485000e-01 -1.6503000e-01 -1.7085000e-01 -1.2817000e+00 -5.2021000e-01 -7.6240000e-01
+ 1.8000000e+02 8.1469000e-01 1.0055000e+00 -9.7207000e-01 -5.3538000e-01 -1.9529000e-01 -2.0313000e-01 -1.4873000e+00 -5.5610000e-01 -7.0847000e-01
+ 1.8100000e+02 8.0605000e-01 -1.0509000e+00 -9.6554000e-01 -4.1086000e-01 -6.4270000e-02 -7.3372000e-02 -1.5487000e+00 -6.5226000e-01 -7.9876000e-01
+ 1.8200000e+02 -1.1898000e+00 9.7172000e-01 1.0472000e+00 -2.3753000e-01 -1.2007000e-01 -1.3020000e-01 -1.8468000e-01 -4.7327000e-01 -7.4182000e-01
+ 1.8300000e+02 7.9622000e-01 -1.0499000e+00 1.0433000e+00 3.6968000e-01 4.9193000e-01 4.8466000e-01 4.0192000e-01 3.0516000e-02 -8.2523000e-02
+ 1.8400000e+02 -1.1891000e+00 -1.0554000e+00 -9.5271000e-01 1.1040000e-01 3.4624000e-01 3.3475000e-01 -5.4575000e-01 6.2857000e-02 -2.0600000e-01
+ 1.8500000e+02 8.4270000e-01 -1.0538000e+00 1.0694000e+00 4.4804000e-01 5.0802000e-01 4.9459000e-01 3.7729000e-01 1.3302000e-01 -1.2914000e-01
+ 1.8600000e+02 8.5198000e-01 -1.0287000e+00 1.0486000e+00 6.1139000e-01 7.7616000e-01 7.6241000e-01 8.6005000e-01 4.5222000e-01 1.3013000e-01
+ 1.8700000e+02 8.2794000e-01 -1.0593000e+00 -9.5105000e-01 6.9293000e-01 1.0709000e+00 1.0573000e+00 5.1883000e-02 7.3351000e-01 4.2508000e-01
+ 1.8800000e+02 8.2344000e-01 9.8972000e-01 1.0506000e+00 1.1258000e+00 1.3924000e+00 1.3779000e+00 1.0584000e+00 1.1137000e+00 7.5604000e-01
+ 1.8900000e+02 -1.1734000e+00 9.9136000e-01 -9.5336000e-01 1.0777000e+00 1.6044000e+00 1.5905000e+00 4.6021000e-01 1.3186000e+00 7.7581000e-01
+ 1.9000000e+02 8.2684000e-01 1.0139000e+00 1.0307000e+00 1.2967000e+00 1.6288000e+00 1.6138000e+00 1.3069000e+00 1.4969000e+00 1.2486000e+00
+ 1.9100000e+02 -1.1646000e+00 9.9923000e-01 1.0363000e+00 1.2918000e+00 1.6382000e+00 1.6221000e+00 1.6954000e+00 1.7220000e+00 1.2813000e+00
+ 1.9200000e+02 8.1744000e-01 9.8457000e-01 -9.6328000e-01 9.1073000e-01 1.5264000e+00 1.5083000e+00 4.8511000e-01 1.3859000e+00 8.1915000e-01
+ 1.9300000e+02 8.2386000e-01 -1.0220000e+00 -9.6584000e-01 3.6530000e-01 1.0806000e+00 1.0591000e+00 -1.6743000e-01 8.4966000e-01 3.0095000e-01
+ 1.9400000e+02 8.8581000e-01 -1.0065000e+00 -9.0783000e-01 1.4845000e-01 7.1537000e-01 6.9011000e-01 -5.3542000e-01 4.1219000e-01 -1.0798000e-01
+ 1.9500000e+02 8.4126000e-01 1.0235000e+00 -9.0208000e-01 9.7193000e-02 6.0461000e-01 5.7743000e-01 -7.6017000e-01 2.3668000e-01 -2.2468000e-01
+ 1.9600000e+02 -1.1270000e+00 1.0190000e+00 1.0898000e+00 6.6804000e-01 9.3380000e-01 9.0862000e-01 6.2095000e-01 5.9641000e-01 4.1952000e-02
+ 1.9700000e+02 8.8639000e-01 -1.0148000e+00 1.0839000e+00 9.3389000e-01 1.2902000e+00 1.2671000e+00 9.9532000e-01 8.9492000e-01 4.1851000e-01
+ 1.9800000e+02 8.8195000e-01 -1.0194000e+00 1.0924000e+00 1.1641000e+00 1.3005000e+00 1.2773000e+00 1.3527000e+00 1.1682000e+00 5.9408000e-01
+ 1.9900000e+02 8.6396000e-01 1.0220000e+00 -8.9508000e-01 8.7872000e-01 1.2297000e+00 1.2066000e+00 1.5943000e-01 9.8107000e-01 5.1405000e-01
+ 2.0000000e+02 8.7934000e-01 1.0196000e+00 1.0723000e+00 1.4708000e+00 1.7051000e+00 1.6861000e+00 1.0717000e+00 1.2280000e+00 6.5170000e-01
+ 2.0100000e+02 8.6675000e-01 1.0149000e+00 -9.1923000e-01 1.2183000e+00 1.6732000e+00 1.6547000e+00 3.1675000e-01 1.2754000e+00 5.8819000e-01
+ 2.0200000e+02 -1.1412000e+00 -1.0142000e+00 -8.9439000e-01 8.9485000e-01 1.5206000e+00 1.5024000e+00 5.5856000e-02 1.0856000e+00 8.6274000e-02
+ 2.0300000e+02 -1.1512000e+00 -1.0364000e+00 -8.8422000e-01 8.0547000e-01 1.2599000e+00 1.2420000e+00 -2.5853000e-01 9.2010000e-01 1.1152000e-01
+ 2.0400000e+02 8.1490000e-01 9.7703000e-01 -9.0378000e-01 6.6998000e-01 1.2386000e+00 1.2227000e+00 -5.0038000e-01 7.2937000e-01 6.3742000e-02
+ 2.0500000e+02 -1.1375000e+00 -1.0429000e+00 1.1103000e+00 6.6363000e-01 1.0309000e+00 1.0160000e+00 8.9429000e-01 8.4955000e-01 1.0700000e-01
+ 2.0600000e+02 -1.1450000e+00 9.6662000e-01 1.1248000e+00 1.4190000e+00 1.3965000e+00 1.3859000e+00 1.2511000e+00 1.1559000e+00 4.5979000e-01
+ 2.0700000e+02 -1.1490000e+00 9.5811000e-01 1.0840000e+00 1.2591000e+00 1.3490000e+00 1.3385000e+00 1.5038000e+00 1.2376000e+00 5.5760000e-01
+ 2.0800000e+02 -1.1680000e+00 9.6844000e-01 -9.1091000e-01 6.8831000e-01 1.2880000e+00 1.2773000e+00 2.2903000e-01 9.8278000e-01 2.8981000e-01
+ 2.0900000e+02 8.5517000e-01 -1.0351000e+00 -8.8735000e-01 4.5808000e-01 9.2076000e-01 9.0737000e-01 -5.1884000e-01 2.8017000e-01 -1.7913000e-01
+ 2.1000000e+02 -1.1251000e+00 -1.0444000e+00 1.1190000e+00 4.8639000e-01 5.6690000e-01 5.5138000e-01 4.1748000e-01 1.0038000e-01 -4.6511000e-01
+ 2.1100000e+02 8.6649000e-01 9.7496000e-01 1.0901000e+00 7.5006000e-01 7.3313000e-01 7.1992000e-01 5.9943000e-01 1.7032000e-01 -3.8519000e-01
+ 2.1200000e+02 8.8571000e-01 9.7626000e-01 1.0779000e+00 8.7410000e-01 9.9347000e-01 9.8401000e-01 7.7261000e-01 4.2805000e-01 -2.8555000e-01
+ 2.1300000e+02 -1.1101000e+00 -1.0527000e+00 1.0806000e+00 8.6898000e-01 8.6801000e-01 8.5832000e-01 1.2438000e+00 6.1163000e-01 8.7551000e-02
+ 2.1400000e+02 8.8928000e-01 -1.0559000e+00 -9.0105000e-01 6.9952000e-01 7.9642000e-01 7.8693000e-01 -4.6873000e-02 5.2232000e-01 -1.5857000e-01
+ 2.1500000e+02 9.0123000e-01 -1.0178000e+00 -9.3595000e-01 4.6002000e-01 6.5872000e-01 6.4883000e-01 -4.4098000e-01 2.0964000e-01 -2.7638000e-01
+ 2.1600000e+02 -1.1179000e+00 -1.0211000e+00 -9.0761000e-01 7.0148000e-01 6.8180000e-01 6.7272000e-01 -4.9567000e-01 1.8319000e-01 -7.2098000e-01
+ 2.1700000e+02 -1.1284000e+00 9.8574000e-01 -9.3516000e-01 8.9658000e-01 1.2111000e+00 1.2069000e+00 -5.4751000e-01 1.5765000e-01 -2.1751000e-01
+ 2.1800000e+02 -1.0844000e+00 9.9673000e-01 1.0807000e+00 1.2908000e+00 1.1545000e+00 1.1507000e+00 6.5971000e-01 5.7929000e-01 -2.3163000e-02
+ 2.1900000e+02 -1.0789000e+00 1.0046000e+00 1.0841000e+00 1.2271000e+00 1.2038000e+00 1.2007000e+00 1.0723000e+00 8.2626000e-01 2.6192000e-01
+ 2.2000000e+02 -1.0869000e+00 1.0011000e+00 1.0986000e+00 1.1278000e+00 9.7324000e-01 9.6789000e-01 1.0977000e+00 7.2491000e-01 3.4541000e-01
+ 2.2100000e+02 9.2624000e-01 1.0014000e+00 -9.0878000e-01 3.0131000e-01 5.9543000e-01 5.8705000e-01 -4.1104000e-01 2.3814000e-01 -1.9106000e-01
+ 2.2200000e+02 9.5619000e-01 -1.0177000e+00 1.0675000e+00 1.6729000e-01 2.8542000e-01 2.7360000e-01 1.7214000e-01 -1.3631000e-01 -5.9982000e-01
+ 2.2300000e+02 9.7203000e-01 9.6822000e-01 1.0694000e+00 -7.1255000e-02 -2.3693000e-01 -2.5341000e-01 3.5466000e-01 -1.8614000e-01 -6.4303000e-01
+ 2.2400000e+02 9.5699000e-01 9.7603000e-01 -9.1659000e-01 -2.8465000e-01 -4.1067000e-01 -4.2907000e-01 -6.6485000e-01 -4.7041000e-01 -7.7565000e-01
+ 2.2500000e+02 9.6981000e-01 9.7957000e-01 1.0736000e+00 -1.2153000e-01 -4.3595000e-01 -4.5514000e-01 1.2518000e-01 -3.1834000e-01 -6.8817000e-01
+ 2.2600000e+02 9.6178000e-01 9.8581000e-01 -9.1153000e-01 -2.1529000e-01 -3.9207000e-01 -4.1170000e-01 -7.5839000e-01 -3.1341000e-01 -7.2629000e-01
+ 2.2700000e+02 -1.0319000e+00 -1.0031000e+00 -8.9683000e-01 -3.4300000e-01 -3.2048000e-01 -3.3970000e-01 -1.0581000e+00 -5.7991000e-01 -9.6311000e-01
+ 2.2800000e+02 9.7797000e-01 -1.0036000e+00 1.0895000e+00 -1.0493000e-01 -3.6625000e-01 -3.8656000e-01 -1.1278000e-01 -5.0896000e-01 -7.4198000e-01
+ 2.2900000e+02 -1.0308000e+00 9.8965000e-01 1.0787000e+00 1.6923000e-01 1.4934000e-03 -1.5367000e-02 5.8161000e-01 -1.0064000e-01 -4.6451000e-01
+ 2.3000000e+02 9.8076000e-01 -1.0341000e+00 1.0715000e+00 4.5587000e-01 2.1078000e-01 1.9508000e-01 8.5948000e-01 2.5895000e-01 -4.4595000e-03
+ 2.3100000e+02 -1.0146000e+00 9.9948000e-01 1.0924000e+00 9.2900000e-01 8.7218000e-01 8.6206000e-01 1.2455000e+00 6.8045000e-01 3.6467000e-01
+ 2.3200000e+02 9.7661000e-01 9.9169000e-01 1.0432000e+00 1.2381000e+00 1.0676000e+00 1.0588000e+00 1.2841000e+00 8.9005000e-01 6.4161000e-01
+ 2.3300000e+02 -1.0367000e+00 9.7701000e-01 1.0713000e+00 1.0071000e+00 9.5630000e-01 9.4618000e-01 1.5557000e+00 9.6190000e-01 7.1640000e-01
+ 2.3400000e+02 -1.0349000e+00 9.8448000e-01 1.0706000e+00 1.1502000e+00 8.8356000e-01 8.7386000e-01 1.7146000e+00 9.2082000e-01 8.6241000e-01
+ 2.3500000e+02 9.4665000e-01 -1.0501000e+00 -9.4644000e-01 4.2485000e-01 4.9111000e-01 4.7813000e-01 2.4346000e-01 6.2971000e-01 4.9595000e-01
+ 2.3600000e+02 -1.0378000e+00 -1.0395000e+00 -9.4878000e-01 4.0090000e-02 1.2502000e-01 1.0941000e-01 -3.7908000e-01 1.2665000e-01 1.9280000e-02
+ 2.3700000e+02 9.6513000e-01 -1.0484000e+00 -9.7125000e-01 -5.0512000e-02 7.9759000e-02 6.3476000e-02 -6.9283000e-01 -1.2757000e-01 -3.2969000e-01
+ 2.3800000e+02 9.9200000e-01 -1.0350000e+00 1.0153000e+00 7.2735000e-01 5.2774000e-01 5.1505000e-01 4.0998000e-01 6.6587000e-02 -9.4915000e-02
+ 2.3900000e+02 -1.0159000e+00 9.6362000e-01 1.0289000e+00 6.2727000e-01 3.8981000e-01 3.7602000e-01 1.1903000e+00 6.0913000e-01 4.1371000e-01
+ 2.4000000e+02 -1.0258000e+00 -1.0365000e+00 -9.7043000e-01 9.1243000e-01 7.3119000e-01 7.1988000e-01 3.6515000e-01 9.5239000e-01 6.1209000e-01
+ 2.4100000e+02 -1.0519000e+00 9.7013000e-01 -9.7808000e-01 4.1215000e-01 6.0519000e-01 5.9296000e-01 -1.3884000e-01 6.8570000e-01 6.4511000e-01
+ 2.4200000e+02 -1.0147000e+00 -1.0511000e+00 1.0212000e+00 8.8334000e-01 7.3174000e-01 7.2051000e-01 1.0315000e+00 7.6553000e-01 7.3146000e-01
+ 2.4300000e+02 9.7439000e-01 9.6014000e-01 -1.0066000e+00 4.6344000e-01 5.9130000e-01 5.7868000e-01 -1.3411000e-01 6.8291000e-01 6.3430000e-01
+ 2.4400000e+02 -1.0161000e+00 -1.0449000e+00 -9.9745000e-01 8.9891000e-02 1.5664000e-01 1.4169000e-01 -5.3746000e-01 2.3975000e-01 1.7169000e-01
+ 2.4500000e+02 9.9823000e-01 9.7790000e-01 -1.0164000e+00 -7.2239000e-02 1.4888000e-01 1.3360000e-01 -9.4729000e-01 5.6807000e-02 -1.4539000e-01
+ 2.4600000e+02 1.0053000e+00 9.7285000e-01 9.9603000e-01 3.2841000e-01 2.0746000e-01 1.9320000e-01 1.1442000e-01 -1.3902000e-02 -1.3399000e-01
+ 2.4700000e+02 -1.0182000e+00 9.5236000e-01 -1.0074000e+00 5.0580000e-02 2.7311000e-02 1.1324000e-02 -7.1808000e-01 -3.4394000e-02 -8.5610000e-02
+ 2.4800000e+02 -1.0010000e+00 9.5597000e-01 9.8725000e-01 2.1757000e-01 7.3390000e-02 5.8512000e-02 1.7936000e-01 -5.4703000e-02 -2.3737000e-01
+ 2.4900000e+02 9.7727000e-01 -1.1015000e+00 -1.0151000e+00 -2.0114000e-01 -1.3369000e-01 -1.4975000e-01 -8.2544000e-01 -2.9803000e-01 -2.9789000e-01
+ 2.5000000e+02 -1.0065000e+00 -1.1058000e+00 -1.0109000e+00 -6.6501000e-01 -5.2641000e-01 -5.4485000e-01 -1.2789000e+00 -6.3939000e-01 -7.3985000e-01
+ 2.5100000e+02 9.9608000e-01 -1.1103000e+00 -1.0065000e+00 -7.0554000e-01 -6.3744000e-01 -6.5658000e-01 -1.5407000e+00 -9.2946000e-01 -8.1554000e-01
+ 2.5200000e+02 -1.0062000e+00 -1.0962000e+00 -9.9815000e-01 -4.7458000e-01 -4.1399000e-01 -4.3095000e-01 -1.4768000e+00 -8.3218000e-01 -7.7946000e-01
+ 2.5300000e+02 1.0089000e+00 -1.1032000e+00 1.0037000e+00 -1.9725000e-02 -1.8919000e-01 -2.0374000e-01 -2.3865000e-01 -4.4757000e-01 -5.2264000e-01
+ 2.5400000e+02 -1.0162000e+00 9.2587000e-01 -1.0009000e+00 1.3952000e-02 -4.3738000e-02 -5.7251000e-02 -8.3912000e-01 -2.6039000e-01 -1.5483000e-01
+ 2.5500000e+02 -9.8798000e-01 -1.0814000e+00 9.9637000e-01 4.1045000e-01 2.6099000e-01 2.5064000e-01 4.4805000e-01 6.3971000e-02 1.7710000e-01
+ 2.5600000e+02 -1.0073000e+00 9.6432000e-01 -1.0033000e+00 1.3922000e-01 8.6434000e-02 7.4955000e-02 -4.2751000e-01 1.7703000e-01 3.2668000e-01
+ 2.5700000e+02 -1.0044000e+00 -1.0683000e+00 -9.8115000e-01 -1.4450000e-01 -6.2644000e-02 -7.4319000e-02 -8.6275000e-01 -4.5128000e-02 7.5089000e-02
+ 2.5800000e+02 1.0107000e+00 -1.0771000e+00 -9.8897000e-01 -4.0428000e-01 -2.2473000e-01 -2.3666000e-01 -1.2491000e+00 -4.0413000e-01 -2.6759000e-01
+ 2.5900000e+02 -9.8833000e-01 9.5008000e-01 -9.8886000e-01 -7.3314000e-01 -6.6604000e-01 -6.8017000e-01 -1.3894000e+00 -5.3818000e-01 -6.0862000e-01
+ 2.6000000e+02 -9.9266000e-01 -1.0510000e+00 -9.5240000e-01 -5.7956000e-01 -5.0700000e-01 -5.1816000e-01 -1.4477000e+00 -6.5797000e-01 -6.9295000e-01
+ 2.6100000e+02 1.0295000e+00 9.6490000e-01 1.0590000e+00 -2.8439000e-01 -5.0615000e-01 -5.1661000e-01 -4.5753000e-01 -6.5169000e-01 -5.7453000e-01
+ 2.6200000e+02 -9.4380000e-01 -1.0580000e+00 1.0652000e+00 -4.6846000e-02 -3.5822000e-01 -3.6576000e-01 3.5361000e-01 -2.5892000e-01 -2.7160000e-01
+ 2.6300000e+02 -9.3583000e-01 -1.0663000e+00 1.0594000e+00 -6.5876000e-02 -2.4913000e-01 -2.5466000e-01 7.9454000e-01 -1.3447000e-02 1.6056000e-01
+ 2.6400000e+02 -9.4160000e-01 -1.0375000e+00 1.0682000e+00 3.2474000e-01 -6.0137000e-02 -6.2536000e-02 1.0062000e+00 1.4539000e-01 3.2063000e-01
+ 2.6500000e+02 1.0676000e+00 -1.0474000e+00 1.0520000e+00 3.4013000e-01 1.0226000e-01 1.0257000e-01 1.0823000e+00 3.4192000e-01 5.9069000e-01
+ 2.6600000e+02 1.0840000e+00 -1.0351000e+00 -9.4860000e-01 9.6731000e-02 1.1488000e-02 1.2575000e-02 -1.4473000e-02 2.7737000e-01 6.2379000e-01
+ 2.6700000e+02 -9.0973000e-01 9.9007000e-01 1.0702000e+00 3.6846000e-01 -1.0591000e-01 -1.0412000e-01 1.1132000e+00 4.4920000e-01 8.5723000e-01
+ 2.6800000e+02 1.0975000e+00 9.7928000e-01 1.0519000e+00 7.9132000e-01 3.7622000e-01 3.8284000e-01 1.4380000e+00 8.6986000e-01 1.2725000e+00
+ 2.6900000e+02 1.1087000e+00 -1.0365000e+00 1.0445000e+00 6.6216000e-01 4.9748000e-01 5.0637000e-01 1.5717000e+00 1.0776000e+00 1.4496000e+00
+ 2.7000000e+02 1.0898000e+00 -1.0211000e+00 -9.5861000e-01 5.0810000e-01 3.2513000e-01 3.3350000e-01 6.3396000e-01 1.0723000e+00 1.4062000e+00
+ 2.7100000e+02 1.1011000e+00 1.0320000e+00 -9.5075000e-01 2.8349000e-01 4.0563000e-01 4.1450000e-01 1.5985000e-01 8.2956000e-01 1.2700000e+00
+ 2.7200000e+02 1.1058000e+00 1.0610000e+00 1.0474000e+00 5.6206000e-01 4.8501000e-01 4.9457000e-01 1.2821000e+00 1.0205000e+00 1.5152000e+00
+ 2.7300000e+02 -8.9047000e-01 1.0666000e+00 1.0423000e+00 9.6833000e-01 7.7588000e-01 7.8787000e-01 1.9941000e+00 1.4084000e+00 2.0868000e+00
+ 2.7400000e+02 1.0890000e+00 1.0746000e+00 -9.5655000e-01 5.8746000e-01 6.6597000e-01 6.7677000e-01 7.6921000e-01 1.3594000e+00 1.8182000e+00
+ 2.7500000e+02 1.0877000e+00 1.0557000e+00 1.0072000e+00 6.1601000e-01 4.3504000e-01 4.4274000e-01 1.4374000e+00 1.2087000e+00 1.6194000e+00
+ 2.7600000e+02 -9.0633000e-01 1.0601000e+00 1.0509000e+00 6.4338000e-01 6.0241000e-01 6.1003000e-01 1.8519000e+00 1.1802000e+00 1.6376000e+00
+ 2.7700000e+02 -9.4067000e-01 -9.9729000e-01 -9.7306000e-01 1.9863000e-03 4.8961000e-02 5.1674000e-02 7.2264000e-01 1.0255000e+00 1.4714000e+00
+ 2.7800000e+02 1.0643000e+00 1.0397000e+00 -9.9193000e-01 -8.8839000e-02 4.1168000e-02 4.2695000e-02 -5.3506000e-02 4.5959000e-01 8.4858000e-01
+ 2.7900000e+02 1.0707000e+00 -1.0102000e+00 -9.9701000e-01 -3.5544000e-01 -2.7383000e-01 -2.7544000e-01 -4.4345000e-01 4.2183000e-02 4.9871000e-01
+ 2.8000000e+02 -9.3762000e-01 -1.0101000e+00 -9.7695000e-01 -4.9191000e-01 -3.0937000e-01 -3.1145000e-01 -5.7206000e-01 -1.5168000e-01 2.5883000e-01
+ 2.8100000e+02 1.0598000e+00 1.0348000e+00 1.0124000e+00 1.5629000e-01 -3.8215000e-02 -3.8629000e-02 5.1936000e-01 1.1521000e-01 4.7541000e-01
+ 2.8200000e+02 -9.5338000e-01 -1.0166000e+00 -9.7789000e-01 -2.7802000e-02 -6.0103000e-02 -6.1911000e-02 -8.5832000e-03 2.7050000e-01 7.1071000e-01
+ 2.8300000e+02 -9.7027000e-01 1.0346000e+00 -9.8011000e-01 -1.4205000e-01 -1.6260000e-02 -1.8777000e-02 -4.8064000e-01 1.6454000e-01 6.1740000e-01
+ 2.8400000e+02 1.0518000e+00 1.0374000e+00 1.0192000e+00 9.5017000e-02 -5.2920000e-02 -5.6645000e-02 5.8933000e-01 2.1988000e-01 6.1552000e-01
+ 2.8500000e+02 -9.7554000e-01 1.0285000e+00 -9.7810000e-01 -2.7828000e-01 -2.7718000e-01 -2.8258000e-01 -2.8202000e-01 6.3676000e-02 4.3109000e-01
+ 2.8600000e+02 -9.7737000e-01 -1.0352000e+00 -9.5504000e-01 -5.5736000e-01 -3.5487000e-01 -3.6143000e-01 -7.1211000e-01 -2.4177000e-01 2.4651000e-01
+ 2.8700000e+02 -9.6394000e-01 -1.0359000e+00 1.0715000e+00 -3.6741000e-01 -6.5909000e-01 -6.6899000e-01 4.5517000e-01 -3.6049000e-01 2.5244000e-02
+ 2.8800000e+02 1.0186000e+00 1.0128000e+00 1.0457000e+00 -2.2409000e-01 -4.5758000e-01 -4.6541000e-01 6.1618000e-01 -9.3822000e-02 3.3251000e-01
+ 2.8900000e+02 -9.6279000e-01 1.0294000e+00 1.0365000e+00 -8.1016000e-02 -3.0991000e-01 -3.1704000e-01 1.0279000e+00 -1.3470000e-02 4.3977000e-01
+ 2.9000000e+02 -9.6921000e-01 -1.0252000e+00 1.0477000e+00 6.1086000e-02 -2.6969000e-01 -2.7607000e-01 1.3193000e+00 1.0364000e-01 6.0165000e-01
+ 2.9100000e+02 -1.0033000e+00 -1.0321000e+00 -9.5183000e-01 -5.7053000e-01 -4.5675000e-01 -4.6476000e-01 -3.0219000e-03 -4.2132000e-03 2.3505000e-01
+ 2.9200000e+02 -9.6928000e-01 -1.0175000e+00 1.0586000e+00 -3.7106000e-01 -5.6387000e-01 -5.7340000e-01 9.0681000e-01 -2.1270000e-01 1.9618000e-01
+ 2.9300000e+02 -9.6967000e-01 1.0011000e+00 1.0621000e+00 -1.4864000e-01 -4.4591000e-01 -4.5360000e-01 1.2095000e+00 3.7680000e-02 5.5846000e-01
+ 2.9400000e+02 -9.9179000e-01 1.0131000e+00 -9.5280000e-01 -5.1267000e-01 -4.8755000e-01 -4.9642000e-01 -6.9931000e-02 -1.2264000e-01 3.5504000e-01
+ 2.9500000e+02 -9.9109000e-01 9.9851000e-01 -9.5861000e-01 -9.5947000e-01 -8.8974000e-01 -9.0239000e-01 -8.4624000e-01 -5.8196000e-01 -1.7648000e-01
+ 2.9600000e+02 1.0250000e+00 9.9091000e-01 1.0164000e+00 -8.5496000e-01 -1.0926000e+00 -1.1069000e+00 -7.2590000e-02 -8.2957000e-01 -5.4325000e-01
+ 2.9700000e+02 -9.5135000e-01 9.7870000e-01 1.0205000e+00 -8.1932000e-01 -1.3624000e+00 -1.3785000e+00 3.0031000e-01 -9.5204000e-01 -6.3584000e-01
+ 2.9800000e+02 1.0484000e+00 9.8512000e-01 1.0335000e+00 -9.8218000e-01 -1.2736000e+00 -1.2869000e+00 2.1672000e-01 -1.0485000e+00 -7.0887000e-01
+ 2.9900000e+02 1.0643000e+00 -1.0517000e+00 1.0214000e+00 -7.7050000e-01 -1.2381000e+00 -1.2491000e+00 2.1864000e-01 -1.2316000e+00 -9.8079000e-01
+ 3.0000000e+02 1.0705000e+00 -1.0607000e+00 1.0087000e+00 -9.7948000e-01 -1.5614000e+00 -1.5722000e+00 3.1401000e-01 -1.2640000e+00 -8.4998000e-01
+ 3.0100000e+02 -9.6588000e-01 -1.0800000e+00 -9.9230000e-01 -1.1182000e+00 -1.4987000e+00 -1.5051000e+00 -5.5028000e-01 -1.1948000e+00 -8.4520000e-01
+ 3.0200000e+02 -9.5558000e-01 -1.0698000e+00 -9.8073000e-01 -1.0100000e+00 -1.3027000e+00 -1.3034000e+00 -8.5577000e-01 -1.1251000e+00 -7.4836000e-01
+ 3.0300000e+02 -9.4993000e-01 -1.0804000e+00 -9.8577000e-01 -1.0771000e+00 -1.4781000e+00 -1.4772000e+00 -9.6349000e-01 -1.0301000e+00 -6.1400000e-01
+ 3.0400000e+02 1.0462000e+00 -1.0605000e+00 -9.9612000e-01 -8.9819000e-01 -1.0946000e+00 -1.0871000e+00 -1.1874000e+00 -1.0217000e+00 -5.6970000e-01
+ 3.0500000e+02 1.0635000e+00 9.8428000e-01 9.8907000e-01 -4.4968000e-01 -7.5040000e-01 -7.3759000e-01 5.1819000e-03 -7.2677000e-01 -3.4305000e-01
+ 3.0600000e+02 -9.4556000e-01 -1.0627000e+00 -9.9423000e-01 -4.1209000e-01 -6.3354000e-01 -6.1656000e-01 -5.0853000e-01 -4.3283000e-01 6.5529000e-02
+ 3.0700000e+02 -9.5740000e-01 -1.0656000e+00 -1.0143000e+00 -5.8664000e-01 -7.0407000e-01 -6.8606000e-01 -7.5479000e-01 -4.7577000e-01 -2.8251000e-04
+ 3.0800000e+02 1.0464000e+00 9.7873000e-01 -1.0077000e+00 -5.2781000e-01 -5.3586000e-01 -5.1443000e-01 -1.0399000e+00 -4.5790000e-01 -1.5810000e-01
+ 3.0900000e+02 -9.5943000e-01 9.6995000e-01 -1.0007000e+00 -8.7962000e-01 -1.0352000e+00 -1.0154000e+00 -1.1349000e+00 -6.8931000e-01 -2.2561000e-01
+ 3.1000000e+02 -9.4200000e-01 9.7410000e-01 9.7144000e-01 -4.0085000e-01 -9.3582000e-01 -9.1389000e-01 1.0724000e-01 -5.9877000e-01 -7.5097000e-02
+ 3.1100000e+02 -9.5001000e-01 -1.0473000e+00 -9.9652000e-01 -8.5985000e-01 -9.7049000e-01 -9.4740000e-01 -8.2128000e-01 -6.2115000e-01 -1.8057000e-01
+ 3.1200000e+02 1.0444000e+00 -1.0522000e+00 -1.0031000e+00 -1.2261000e+00 -1.2325000e+00 -1.2109000e+00 -1.4194000e+00 -1.0545000e+00 -6.8742000e-01
+ 3.1300000e+02 1.0955000e+00 9.9377000e-01 1.0105000e+00 -7.9540000e-01 -1.1090000e+00 -1.0855000e+00 -4.3573000e-01 -1.1772000e+00 -6.4735000e-01
+ 3.1400000e+02 1.0425000e+00 1.0137000e+00 -9.8973000e-01 -1.0442000e+00 -1.3841000e+00 -1.3633000e+00 -1.2281000e+00 -1.0514000e+00 -6.4294000e-01
+ 3.1500000e+02 -9.1088000e-01 1.0187000e+00 1.0178000e+00 -6.7234000e-01 -1.1401000e+00 -1.1181000e+00 -4.6649000e-02 -9.8738000e-01 -3.8311000e-01
+ 3.1600000e+02 -9.3806000e-01 1.0310000e+00 -9.7704000e-01 -1.0388000e+00 -1.2833000e+00 -1.2624000e+00 -1.0429000e+00 -9.4838000e-01 -5.0545000e-01
+ 3.1700000e+02 -9.2085000e-01 1.0262000e+00 1.0189000e+00 -9.6069000e-01 -1.3866000e+00 -1.3667000e+00 -1.2876000e-01 -1.1209000e+00 -4.4544000e-01
+ 3.1800000e+02 -9.2886000e-01 1.0169000e+00 1.0229000e+00 -1.0000000e+00 -1.5298000e+00 -1.5113000e+00 1.6363000e-01 -1.0576000e+00 -6.5890000e-01
+ 3.1900000e+02 1.0791000e+00 -1.0166000e+00 1.0318000e+00 -1.1328000e+00 -1.6200000e+00 -1.6026000e+00 2.2263000e-02 -1.1805000e+00 -6.5373000e-01
+ 3.2000000e+02 1.0947000e+00 -1.0383000e+00 1.0344000e+00 -1.2185000e+00 -1.7629000e+00 -1.7472000e+00 6.8015000e-02 -1.4770000e+00 -8.4840000e-01
+ 3.2100000e+02 -8.9895000e-01 -1.0546000e+00 1.0306000e+00 -7.5315000e-01 -1.5320000e+00 -1.5157000e+00 4.5831000e-01 -1.2142000e+00 -7.6922000e-01
+ 3.2200000e+02 1.0709000e+00 9.6492000e-01 -9.9745000e-01 -1.1199000e+00 -1.6336000e+00 -1.6184000e+00 -7.8859000e-01 -1.1250000e+00 -5.6232000e-01
+ 3.2300000e+02 1.0997000e+00 6.7664000e-01 -1.0054000e+00 -1.2876000e+00 -1.7221000e+00 -1.7087000e+00 -1.1940000e+00 -1.1475000e+00 -6.4654000e-01
+ 3.2400000e+02 -9.0489000e-01 6.8394000e-01 -9.9026000e-01 -1.2905000e+00 -1.6241000e+00 -1.6103000e+00 -1.3859000e+00 -1.3190000e+00 -7.4878000e-01
+ 3.2500000e+02 1.1003000e+00 6.9698000e-01 9.9594000e-01 -1.0356000e+00 -1.4590000e+00 -1.4452000e+00 -2.3218000e-01 -1.1793000e+00 -7.2293000e-01
+ 3.2600000e+02 1.0605000e+00 6.8660000e-01 -9.9382000e-01 -1.2961000e+00 -1.6139000e+00 -1.6023000e+00 -1.1930000e+00 -1.2632000e+00 -6.7830000e-01
+ 3.2700000e+02 1.1083000e+00 -1.0739000e+00 9.8630000e-01 -9.6996000e-01 -1.4485000e+00 -1.4368000e+00 -2.0375000e-01 -1.1726000e+00 -5.4218000e-01
+ 3.2800000e+02 1.0860000e+00 9.6110000e-01 -1.0020000e+00 -1.1238000e+00 -1.5758000e+00 -1.5660000e+00 -1.1797000e+00 -1.1937000e+00 -5.3320000e-01
+ 3.2900000e+02 1.1161000e+00 -1.0650000e+00 9.8902000e-01 -6.0911000e-01 -1.1032000e+00 -1.0908000e+00 -9.2395000e-03 -1.0156000e+00 -4.1513000e-01
+ 3.3000000e+02 1.0870000e+00 9.6627000e-01 9.6899000e-01 -1.6524000e-01 -9.2416000e-01 -9.1079000e-01 5.5515000e-01 -4.6515000e-01 4.8496000e-02
+ 3.3100000e+02 -9.3692000e-01 9.5636000e-01 -1.0017000e+00 -2.8463000e-01 -8.6531000e-01 -8.5274000e-01 -2.6674000e-01 -2.5134000e-01 3.8333000e-01
+ 3.3200000e+02 -9.0848000e-01 9.5599000e-01 9.4056000e-01 2.8109000e-02 -4.6119000e-01 -4.4646000e-01 7.8045000e-01 -1.5095000e-01 6.0652000e-01
+ 3.3300000e+02 -9.4116000e-01 -1.0513000e+00 -1.0403000e+00 -3.5227000e-01 -7.2460000e-01 -7.1307000e-01 -8.5405000e-02 -7.7287000e-02 4.8114000e-01
+ 3.3400000e+02 -9.3592000e-01 -1.0598000e+00 -1....
[truncated message content] |
|
From: <par...@us...> - 2012-03-21 09:48:21
|
Revision: 9988
http://octave.svn.sourceforge.net/octave/?rev=9988&view=rev
Author: paramaniac
Date: 2012-03-21 09:48:12 +0000 (Wed, 21 Mar 2012)
Log Message:
-----------
control-devel: first steps towards an interface for ident function
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/destillation.m
trunk/octave-forge/extra/control-devel/devel/glass_furnace.m
trunk/octave-forge/extra/control-devel/devel/ident.m
Modified: trunk/octave-forge/extra/control-devel/devel/destillation.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/destillation.m 2012-03-21 00:41:25 UTC (rev 9987)
+++ trunk/octave-forge/extra/control-devel/devel/destillation.m 2012-03-21 09:48:12 UTC (rev 9988)
@@ -65,7 +65,7 @@
dat = iddata (Y_dest, U_dest)
-[sys, x0] = ident (dat) %, 5) % nobr? 5, 90, ?
+[sys, x0] = ident (dat, 5) % s=5, n=4
[y, t] = lsim (sys, U_dest, [], x0);
Modified: trunk/octave-forge/extra/control-devel/devel/glass_furnace.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/glass_furnace.m 2012-03-21 00:41:25 UTC (rev 9987)
+++ trunk/octave-forge/extra/control-devel/devel/glass_furnace.m 2012-03-21 09:48:12 UTC (rev 9988)
@@ -47,7 +47,7 @@
dat = iddata (Y, U)
-[sys, x0] = ident (dat)
+[sys, x0] = ident (dat, 10) % s=10, n=5
[y, t] = lsim (sys, U, [], x0);
Modified: trunk/octave-forge/extra/control-devel/devel/ident.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/ident.m 2012-03-21 00:41:25 UTC (rev 9987)
+++ trunk/octave-forge/extra/control-devel/devel/ident.m 2012-03-21 09:48:12 UTC (rev 9988)
@@ -1,5 +1,7 @@
-function [sys, x0] = ident (dat, nobr)
+function [sys, x0] = ident (dat, s = [], n = [])
+
+
%nobr = 15;
meth = 2;
alg = 0;
@@ -8,12 +10,38 @@
conct = 1;
ctrl = 0; %1;
rcond = 0.0;
- tol = -1.0;
+ tol = -1.0; % 0;
- [n, l, m, e] = size (dat);
+ [ns, l, m, e] = size (dat);
- nsmp = n(1)
- nobr = fix ((nsmp+1)/(2*(m+l+1)))
+ if (isempty (s) && isempty (n))
+ nsmp = ns(1);
+ nobr = fix ((nsmp+1)/(2*(m+l+1)));
+ ctrl = 0; # confirm system order estimate
+ % nsmp >= 2*(m+l+1)*nobr - 1
+ % nobr <= (nsmp+1)/(2*(m+l+1))
+ elseif (isempty (s))
+ s = min (2*n, n+10);
+ nsmp = ns(1);
+ nobr = fix ((nsmp+1)/(2*(m+l+1)));
+ nobr = min (nobr, s);
+ %% ctrl = 1; # no confirmation
+ ctrl = 0; % setting of n not yet possible
+ elseif (isempty (n))
+ nobr = s;
+ ctrl = 0; # confirm system order estimate
+ else # s & n non-empty
+ nsmp = ns(1);
+ nobr = fix ((nsmp+1)/(2*(m+l+1)));
+ if (s > nobr)
+ error ("ident: s > nobr");
+ endif
+ nobr = s;
+ ## TODO: specify n for IB01BD
+ endif
+
+ %nsmp = ns(1)
+ %nobr = fix ((nsmp+1)/(2*(m+l+1)))
% nsmp >= 2*(m+l+1)*nobr - 1
% nobr <= (nsmp+1)/(2*(m+l+1))
%nobr = 10
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-03-21 15:14:26
|
Revision: 9991
http://octave.svn.sourceforge.net/octave/?rev=9991&view=rev
Author: paramaniac
Date: 2012-03-21 15:14:14 +0000 (Wed, 21 Mar 2012)
Log Message:
-----------
control-devel: add another example from DaISy. For unknown reasosn, results from simulation are very poor.
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/power_plant.m
trunk/octave-forge/extra/control-devel/devel/powerplant.dat
Added: trunk/octave-forge/extra/control-devel/devel/power_plant.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/power_plant.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/power_plant.m 2012-03-21 15:14:14 UTC (rev 9991)
@@ -0,0 +1,69 @@
+%{
+This file describes the data in the powerplant.dat file.
+1. Contributed by:
+ Peter Van Overschee
+ K.U.Leuven - ESAT - SISTA
+ K. Mercierlaan 94
+ 3001 Heverlee
+ Pet...@es...
+2. Process/Description:
+ data of a power plant (Pont-sur-Sambre (France)) of 120 MW
+3. Sampling time
+ 1228.8 sec
+4. Number of samples:
+ 200 samples
+5. Inputs:
+ 1. gas flow
+ 2. turbine valves opening
+ 3. super heater spray flow
+ 4. gas dampers
+ 5. air flow
+6. Outputs:
+ 1. steam pressure
+ 2. main stem temperature
+ 3. reheat steam temperature
+7. References:
+ a. R.P. Guidorzi, P. Rossi, Identification of a power plant from normal
+ operating records. Automatic control theory and applications (Canada,
+ Vol 2, pp 63-67, sept 1974.
+ b. Moonen M., De Moor B., Vandenberghe L., Vandewalle J., On- and
+ off-line identification of linear state-space models, International
+ Journal of Control, Vol. 49, Jan. 1989, pp.219-232
+8. Known properties/peculiarities
+
+9. Some MATLAB-code to retrieve the data
+ !gunzip powerplant.dat.Z
+ load powerplant.dat
+ U=powerplant(:,1:5);
+ Y=powerplant(:,6:8);
+ Yr=powerplant(:,9:11);
+
+%}
+
+clear all, close all, clc
+
+load powerplant.dat
+U=powerplant(:,1:5);
+Y=powerplant(:,6:8);
+Yr=powerplant(:,9:11);
+
+
+dat = iddata (Y, U)
+
+[sys, x0] = ident (dat, 10, 8) % s=10, n=8
+
+
+[y, t] = lsim (sys, U, [], x0);
+
+err = norm (Y - y, 1) / norm (Y, 1)
+
+figure (1)
+p = columns (Y);
+for k = 1 : p
+ subplot (3, 1, k)
+ plot (t, Y(:,k), 'b', t, y(:,k), 'r')
+endfor
+%title ('DaISy: Power Plant')
+%legend ('y measured', 'y simulated', 'location', 'southeast')
+
+
Added: trunk/octave-forge/extra/control-devel/devel/powerplant.dat
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/powerplant.dat (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/powerplant.dat 2012-03-21 15:14:14 UTC (rev 9991)
@@ -0,0 +1,200 @@
+ 1.0000000e+00 -8.1100000e+02 -5.9200000e+02 4.2100000e+02 -6.8000000e+02 -6.8100000e+02 1.1700000e+02 1.2900000e+02 -4.7000000e+01 1.2005000e+02 1.2904000e+02 -4.8588000e+01
+ 2.0000000e+00 -8.1200000e+02 -6.1900000e+02 4.7700000e+02 -6.8500000e+02 -6.5100000e+02 1.1300000e+02 1.4100000e+02 -4.2000000e+01 1.0881000e+02 1.3890000e+02 -4.2329000e+01
+ 3.0000000e+00 -8.1700000e+02 -5.6500000e+02 5.3800000e+02 -6.7800000e+02 -6.7700000e+02 8.3000000e+01 1.5000000e+02 -3.7000000e+01 8.4903000e+01 1.5790000e+02 -2.9271000e+01
+ 4.0000000e+00 -6.9500000e+02 -7.2500000e+02 5.3600000e+02 -6.7400000e+02 -7.0200000e+02 1.4400000e+02 1.7400000e+02 -3.0000000e+00 1.4232000e+02 1.6939000e+02 -9.7179000e+00
+ 5.0000000e+00 -6.9700000e+02 -5.7100000e+02 5.3100000e+02 -6.7600000e+02 -6.8500000e+02 1.5600000e+02 1.9600000e+02 1.9000000e+01 1.6235000e+02 1.9724000e+02 4.0350000e+01
+ 6.0000000e+00 -6.9700000e+02 -6.1800000e+02 5.3300000e+02 -6.8100000e+02 -7.2100000e+02 1.7400000e+02 1.9200000e+02 6.0000000e+00 2.0722000e+02 2.1180000e+02 4.7120000e+01
+ 7.0000000e+00 -7.0200000e+02 -5.7900000e+02 5.4900000e+02 -6.7700000e+02 -6.9900000e+02 1.7100000e+02 1.9300000e+02 3.0000000e+00 2.2415000e+02 2.1638000e+02 4.6753000e+01
+ 8.0000000e+00 -7.0300000e+02 -4.8700000e+02 5.7500000e+02 -6.7700000e+02 -6.9400000e+02 1.6900000e+02 2.2400000e+02 1.4000000e+01 2.0604000e+02 2.0174000e+02 3.2968000e+01
+ 9.0000000e+00 -7.0500000e+02 -4.4900000e+02 5.6100000e+02 -6.7900000e+02 -6.7800000e+02 1.5500000e+02 2.1100000e+02 1.4000000e+01 1.7784000e+02 1.8128000e+02 1.4550000e+01
+ 1.0000000e+01 -7.0500000e+02 -4.3100000e+02 5.6300000e+02 -6.8000000e+02 -6.9200000e+02 1.3700000e+02 1.7500000e+02 4.0000000e+00 1.4376000e+02 1.5895000e+02 2.6711000e-01
+ 1.1000000e+01 -7.0700000e+02 -5.0200000e+02 5.6100000e+02 -6.7900000e+02 -6.8600000e+02 1.3000000e+02 1.6500000e+02 1.3000000e+01 1.3855000e+02 1.4555000e+02 -3.0633000e+00
+ 1.2000000e+01 -7.0700000e+02 -5.8300000e+02 5.3000000e+02 -6.7600000e+02 -7.5100000e+02 1.4500000e+02 1.7200000e+02 2.1000000e+01 1.5585000e+02 1.4866000e+02 6.6326000e+00
+ 1.3000000e+01 -7.1000000e+02 -4.5800000e+02 5.4000000e+02 -6.7700000e+02 -7.0000000e+02 1.2800000e+02 1.7300000e+02 3.0000000e+01 1.3007000e+02 1.5522000e+02 1.4064000e+01
+ 1.4000000e+01 -7.1300000e+02 -4.6900000e+02 5.4300000e+02 -6.7900000e+02 -7.3100000e+02 1.1900000e+02 1.9400000e+02 3.0000000e+01 1.1735000e+02 1.5489000e+02 3.8572000e-01
+ 1.5000000e+01 -7.1500000e+02 -5.0600000e+02 5.4900000e+02 -6.8400000e+02 -6.3500000e+02 1.2700000e+02 1.8800000e+02 1.1000000e+01 1.2012000e+02 1.5549000e+02 -1.5554000e+00
+ 1.6000000e+01 -7.1300000e+02 -5.9000000e+02 5.3200000e+02 -6.8100000e+02 -7.1500000e+02 1.4700000e+02 1.7600000e+02 5.0000000e+00 1.4543000e+02 1.5698000e+02 5.3190000e+00
+ 1.7000000e+01 -7.1400000e+02 -5.8200000e+02 5.2800000e+02 -6.7600000e+02 -6.9600000e+02 1.6200000e+02 1.8300000e+02 1.9000000e+01 1.6036000e+02 1.6442000e+02 1.6329000e+01
+ 1.8000000e+01 -7.1300000e+02 -5.7500000e+02 5.3800000e+02 -6.7900000e+02 -6.9000000e+02 1.7300000e+02 1.7800000e+02 1.4000000e+01 1.7382000e+02 1.6655000e+02 1.7543000e+01
+ 1.9000000e+01 -7.1600000e+02 -3.8200000e+02 5.5700000e+02 -6.8200000e+02 -7.0100000e+02 1.3100000e+02 1.6100000e+02 4.0000000e+00 1.1714000e+02 1.5813000e+02 6.0205000e+00
+ 2.0000000e+01 -7.1600000e+02 -4.7600000e+02 5.5800000e+02 -6.7900000e+02 -6.9000000e+02 1.1200000e+02 1.3900000e+02 -1.1000000e+01 1.0683000e+02 1.4319000e+02 -1.9620000e+01
+ 2.1000000e+01 -7.1800000e+02 -4.2500000e+02 5.6500000e+02 -6.7800000e+02 -6.8600000e+02 9.1000000e+01 1.3300000e+02 -1.0000000e+01 7.4164000e+01 1.3319000e+02 -1.8921000e+01
+ 2.2000000e+01 -7.1900000e+02 -4.0900000e+02 5.6200000e+02 -6.7900000e+02 -6.1500000e+02 7.5000000e+01 1.2700000e+02 -7.0000000e+00 5.1102000e+01 1.2405000e+02 -1.6557000e+01
+ 2.3000000e+01 -7.1900000e+02 -5.0800000e+02 5.2300000e+02 -6.7700000e+02 -7.3700000e+02 8.0000000e+01 1.1500000e+02 -1.0000000e+01 5.8537000e+01 1.2492000e+02 -1.1844000e+01
+ 2.4000000e+01 -7.2100000e+02 -5.6900000e+02 5.2300000e+02 -6.7900000e+02 -7.2200000e+02 8.7000000e+01 1.3200000e+02 6.0000000e+00 8.0766000e+01 1.3883000e+02 1.4671000e+00
+ 2.5000000e+01 -7.2300000e+02 -4.3400000e+02 5.4200000e+02 -6.8100000e+02 -7.3500000e+02 5.1000000e+01 1.5100000e+02 6.0000000e+00 5.6621000e+01 1.4836000e+02 7.3839000e+00
+ 2.6000000e+01 -7.2300000e+02 -3.9500000e+02 5.4400000e+02 -6.7600000e+02 -7.0400000e+02 2.8000000e+01 1.6700000e+02 3.0000000e+00 3.1969000e+01 1.5050000e+02 -7.9046000e+00
+ 2.7000000e+01 -7.2300000e+02 -4.2800000e+02 5.4200000e+02 -6.7700000e+02 -7.2900000e+02 2.2000000e+01 1.6700000e+02 -3.0000000e+00 1.9968000e+01 1.4996000e+02 -1.7541000e+01
+ 2.8000000e+01 -7.2200000e+02 -4.0200000e+02 5.3700000e+02 -6.7700000e+02 -7.0600000e+02 9.0000000e+00 1.7100000e+02 4.0000000e+00 1.4603000e+00 1.5197000e+02 -1.3722000e+01
+ 2.9000000e+01 -7.2500000e+02 -3.8000000e+02 5.3400000e+02 -6.8100000e+02 -6.9600000e+02 7.0000000e+00 1.5800000e+02 6.0000000e+00 -1.6409000e+01 1.5264000e+02 -8.9375000e+00
+ 3.0000000e+01 -7.2600000e+02 -3.2400000e+02 5.4900000e+02 -6.7600000e+02 -7.0100000e+02 -1.1000000e+01 1.5500000e+02 5.0000000e+00 -4.9227000e+01 1.4991000e+02 -7.2722000e+00
+ 3.1000000e+01 -7.2600000e+02 -2.1100000e+02 5.7800000e+02 -6.7500000e+02 -6.1400000e+02 -8.7000000e+01 1.4900000e+02 -8.0000000e+00 -1.0582000e+02 1.3858000e+02 -8.0209000e+00
+ 3.2000000e+01 -7.2700000e+02 -1.1300000e+02 5.6900000e+02 -6.7700000e+02 -7.3800000e+02 -1.5300000e+02 1.4600000e+02 -1.2000000e+01 -1.8840000e+02 1.2113000e+02 -1.8722000e+01
+ 3.3000000e+01 -7.2700000e+02 -2.0800000e+02 5.5400000e+02 -6.7600000e+02 -7.3700000e+02 -1.8400000e+02 1.1600000e+02 -2.0000000e+01 -2.2306000e+02 1.1633000e+02 -2.4934000e+01
+ 3.4000000e+01 -7.2700000e+02 -3.2000000e+02 5.2300000e+02 -6.8400000e+02 -6.9700000e+02 -1.6700000e+02 1.1800000e+02 8.0000000e+00 -2.0789000e+02 1.3293000e+02 1.2255000e+00
+ 3.5000000e+01 -7.2700000e+02 9.4400000e+02 6.0500000e+02 -6.8000000e+02 -5.8700000e+02 -5.6300000e+02 7.8000000e+01 -4.0000000e+00 -6.1117000e+02 1.0434000e+02 -6.9815000e+00
+ 3.6000000e+01 -7.2900000e+02 3.9600000e+02 6.5400000e+02 -6.8100000e+02 -7.0800000e+02 -6.9400000e+02 -3.0000000e+00 -1.5500000e+02 -7.1959000e+02 3.6752000e+01 -1.2319000e+02
+ 3.7000000e+01 -7.2900000e+02 7.5400000e+02 6.3700000e+02 -6.8200000e+02 -6.8500000e+02 -1.0000000e+03 -3.9000000e+01 -1.6800000e+02 -9.6523000e+02 1.6833000e+01 -8.9982000e+01
+ 3.8000000e+01 -7.2700000e+02 4.1900000e+02 5.2200000e+02 -6.7700000e+02 -7.1500000e+02 -1.1010000e+03 -2.8000000e+01 -1.3500000e+02 -1.0109000e+03 2.8100000e+01 -5.8790000e+01
+ 3.9000000e+01 -7.2900000e+02 3.7800000e+02 4.9400000e+02 -6.6800000e+02 -7.0300000e+02 -1.0800000e+03 5.5000000e+01 6.0000000e+00 -1.0331000e+03 9.0458000e+01 2.8316000e+01
+ 4.0000000e+01 -7.2800000e+02 3.6300000e+02 4.9300000e+02 -6.6900000e+02 -6.8200000e+02 -1.0750000e+03 1.6200000e+02 8.9000000e+01 -1.0240000e+03 1.5948000e+02 9.4399000e+01
+ 4.1000000e+01 -7.2900000e+02 3.9000000e+02 4.9600000e+02 -6.6500000e+02 -7.1300000e+02 -1.0350000e+03 2.5400000e+02 1.1700000e+02 -1.0168000e+03 2.1926000e+02 1.3600000e+02
+ 4.2000000e+01 -7.2900000e+02 1.0600000e+02 4.8300000e+02 -6.6400000e+02 -7.1100000e+02 -8.9400000e+02 3.2900000e+02 1.4800000e+02 -9.0916000e+02 2.7378000e+02 1.6876000e+02
+ 4.3000000e+01 -7.2900000e+02 3.2000000e+01 4.9500000e+02 -6.6100000e+02 -7.1800000e+02 -7.4700000e+02 4.0900000e+02 2.1800000e+02 -8.0200000e+02 3.2524000e+02 2.2238000e+02
+ 4.4000000e+01 -7.2900000e+02 5.1700000e+02 5.8500000e+02 -6.6100000e+02 -6.4100000e+02 -7.7400000e+02 4.1600000e+02 2.3100000e+02 -8.6839000e+02 3.3418000e+02 2.3713000e+02
+ 4.5000000e+01 -7.2900000e+02 4.5500000e+02 6.2500000e+02 -6.5900000e+02 -7.0300000e+02 -7.8100000e+02 3.6100000e+02 1.8900000e+02 -8.8999000e+02 3.0503000e+02 1.8916000e+02
+ 4.6000000e+01 -7.3000000e+02 5.2100000e+02 6.4900000e+02 -6.8700000e+02 -6.6900000e+02 -8.2500000e+02 2.8800000e+02 1.7100000e+02 -9.4402000e+02 2.7565000e+02 1.7922000e+02
+ 4.7000000e+01 -7.3000000e+02 5.4000000e+02 6.2700000e+02 -6.8900000e+02 -7.0500000e+02 -8.9700000e+02 2.2000000e+02 1.6600000e+02 -9.8936000e+02 2.5161000e+02 1.7993000e+02
+ 4.8000000e+01 -7.3100000e+02 5.1400000e+02 6.0500000e+02 -6.9400000e+02 -6.8200000e+02 -9.6000000e+02 1.7500000e+02 1.6900000e+02 -1.0131000e+03 2.4644000e+02 1.9192000e+02
+ 4.9000000e+01 -5.8500000e+02 5.2500000e+02 5.5800000e+02 -6.8500000e+02 -6.1100000e+02 -9.9400000e+02 1.5700000e+02 1.9600000e+02 -1.0038000e+03 2.6585000e+02 2.1745000e+02
+ 5.0000000e+01 -5.8600000e+02 5.3400000e+02 5.2000000e+02 -6.8000000e+02 -6.6800000e+02 -1.0090000e+03 2.0200000e+02 2.3700000e+02 -9.7003000e+02 3.1402000e+02 2.5659000e+02
+ 5.1000000e+01 -5.8600000e+02 5.3900000e+02 5.3100000e+02 -6.8100000e+02 -6.7900000e+02 -1.0030000e+03 2.6700000e+02 2.5800000e+02 -9.4131000e+02 3.5280000e+02 2.7275000e+02
+ 5.2000000e+01 -5.8500000e+02 5.1900000e+02 5.0700000e+02 -6.8200000e+02 -6.6300000e+02 -9.8100000e+02 3.2600000e+02 2.6700000e+02 -9.0902000e+02 3.7835000e+02 2.7966000e+02
+ 5.3000000e+01 -5.8800000e+02 5.1300000e+02 5.0500000e+02 -6.6700000e+02 -6.6800000e+02 -9.4700000e+02 3.6100000e+02 2.7600000e+02 -8.8285000e+02 3.9079000e+02 2.8383000e+02
+ 5.4000000e+01 -5.8700000e+02 5.0900000e+02 5.3900000e+02 -6.8000000e+02 -6.1600000e+02 -9.2100000e+02 3.6900000e+02 2.8000000e+02 -8.5936000e+02 3.9032000e+02 2.8703000e+02
+ 5.5000000e+01 -5.8700000e+02 5.1200000e+02 5.3500000e+02 -6.6800000e+02 -6.2800000e+02 -8.9400000e+02 3.6900000e+02 2.9200000e+02 -8.4246000e+02 3.8424000e+02 2.9083000e+02
+ 5.6000000e+01 -5.8800000e+02 5.1400000e+02 5.5700000e+02 -6.6700000e+02 -6.4800000e+02 -8.7600000e+02 3.5900000e+02 3.0200000e+02 -8.3393000e+02 3.7221000e+02 2.8925000e+02
+ 5.7000000e+01 -5.8800000e+02 5.5300000e+02 5.6300000e+02 -6.7600000e+02 -6.1300000e+02 -8.6900000e+02 3.5600000e+02 3.1800000e+02 -8.3935000e+02 3.5947000e+02 2.8772000e+02
+ 5.8000000e+01 -5.8900000e+02 5.1900000e+02 5.5900000e+02 -6.8400000e+02 -6.3800000e+02 -8.5700000e+02 3.3400000e+02 3.1600000e+02 -8.3367000e+02 3.4713000e+02 2.8208000e+02
+ 5.9000000e+01 -5.8900000e+02 5.2100000e+02 5.6300000e+02 -6.8200000e+02 -6.5200000e+02 -8.5700000e+02 3.3600000e+02 3.2000000e+02 -8.3490000e+02 3.3975000e+02 2.7946000e+02
+ 6.0000000e+01 -5.8800000e+02 5.1800000e+02 5.4700000e+02 -6.7800000e+02 -5.9700000e+02 -8.6800000e+02 3.3100000e+02 3.2300000e+02 -8.3062000e+02 3.3677000e+02 2.7900000e+02
+ 6.1000000e+01 -5.8900000e+02 5.5200000e+02 5.4900000e+02 -6.8800000e+02 -6.3000000e+02 -8.7300000e+02 3.1600000e+02 3.2400000e+02 -8.4191000e+02 3.3120000e+02 2.7515000e+02
+ 6.2000000e+01 -5.8900000e+02 5.2000000e+02 5.3500000e+02 -6.8500000e+02 -6.2300000e+02 -8.7000000e+02 3.0100000e+02 3.2600000e+02 -8.4191000e+02 3.2838000e+02 2.6793000e+02
+ 6.3000000e+01 -5.8900000e+02 5.4700000e+02 5.4200000e+02 -6.7800000e+02 -6.1900000e+02 -8.6700000e+02 2.9400000e+02 3.2300000e+02 -8.5321000e+02 3.2407000e+02 2.6509000e+02
+ 6.4000000e+01 -5.8900000e+02 5.4900000e+02 5.3100000e+02 -6.8400000e+02 -5.2400000e+02 -8.7800000e+02 2.9300000e+02 3.2200000e+02 -8.5616000e+02 3.2000000e+02 2.6569000e+02
+ 6.5000000e+01 -5.8800000e+02 5.4400000e+02 5.2200000e+02 -1.5400000e+03 -5.8000000e+02 -8.7700000e+02 3.0000000e+02 3.0900000e+02 -8.6846000e+02 3.0704000e+02 2.6482000e+02
+ 6.6000000e+01 -5.8800000e+02 5.6400000e+02 5.5500000e+02 -1.5380000e+03 -5.8400000e+02 -8.9100000e+02 3.1700000e+02 2.3300000e+02 -8.7941000e+02 2.9793000e+02 2.2034000e+02
+ 6.7000000e+01 -5.8800000e+02 6.8400000e+02 5.4500000e+02 -1.5410000e+03 -5.6400000e+02 -9.1900000e+02 3.0800000e+02 1.6000000e+02 -9.1962000e+02 2.8768000e+02 1.6952000e+02
+ 6.8000000e+01 -5.9000000e+02 5.5800000e+02 5.4600000e+02 -1.5410000e+03 -6.0900000e+02 -9.1900000e+02 2.9600000e+02 1.1100000e+02 -9.0978000e+02 2.8478000e+02 1.1979000e+02
+ 6.9000000e+01 -5.8900000e+02 5.5200000e+02 5.3700000e+02 -1.5500000e+03 -6.0100000e+02 -8.9800000e+02 3.0400000e+02 9.4000000e+01 -9.0698000e+02 2.9453000e+02 1.0100000e+02
+ 7.0000000e+01 -5.9100000e+02 5.3200000e+02 5.2600000e+02 -1.5480000e+03 -5.8000000e+02 -8.8400000e+02 3.3600000e+02 1.0100000e+02 -8.9147000e+02 3.0559000e+02 8.9680000e+01
+ 7.1000000e+01 -5.9000000e+02 5.4400000e+02 5.2400000e+02 -1.5420000e+03 -5.6500000e+02 -8.7600000e+02 3.4400000e+02 9.2000000e+01 -8.8099000e+02 3.1543000e+02 8.3914000e+01
+ 7.2000000e+01 -5.9100000e+02 5.5900000e+02 5.3500000e+02 -1.5380000e+03 -6.0400000e+02 -8.7700000e+02 3.4700000e+02 7.7000000e+01 -8.7943000e+02 3.1895000e+02 7.5480000e+01
+ 7.3000000e+01 -5.9200000e+02 5.5500000e+02 5.4200000e+02 -1.5480000e+03 -6.2900000e+02 -8.5900000e+02 3.5400000e+02 7.9000000e+01 -8.7841000e+02 3.2047000e+02 6.7468000e+01
+ 7.4000000e+01 -5.9100000e+02 5.7700000e+02 5.3200000e+02 -1.5490000e+03 -5.8700000e+02 -8.5200000e+02 3.6800000e+02 8.4000000e+01 -8.8010000e+02 3.2358000e+02 6.6088000e+01
+ 7.5000000e+01 -5.9300000e+02 5.8100000e+02 5.3000000e+02 -1.5430000e+03 -5.8500000e+02 -8.5200000e+02 3.6200000e+02 7.9000000e+01 -8.7973000e+02 3.2499000e+02 6.5807000e+01
+ 7.6000000e+01 -5.9200000e+02 5.6200000e+02 5.4000000e+02 -1.5480000e+03 -5.8300000e+02 -8.4600000e+02 3.3700000e+02 6.7000000e+01 -8.7364000e+02 3.2570000e+02 6.7897000e+01
+ 7.7000000e+01 -5.9100000e+02 5.6800000e+02 5.4600000e+02 -1.5360000e+03 -5.8700000e+02 -8.4600000e+02 3.2200000e+02 7.1000000e+01 -8.7024000e+02 3.2613000e+02 7.3199000e+01
+ 7.8000000e+01 -5.9300000e+02 5.5000000e+02 5.5700000e+02 -1.5330000e+03 -5.6900000e+02 -8.3600000e+02 3.2500000e+02 8.2000000e+01 -8.5869000e+02 3.2549000e+02 7.8471000e+01
+ 7.9000000e+01 -5.9200000e+02 5.5000000e+02 5.3700000e+02 -1.5180000e+03 -5.2700000e+02 -8.3100000e+02 3.3000000e+02 8.1000000e+01 -8.4644000e+02 3.2705000e+02 8.8017000e+01
+ 8.0000000e+01 -5.9300000e+02 5.6800000e+02 5.5100000e+02 -1.5330000e+03 -5.8200000e+02 -8.4800000e+02 3.3200000e+02 8.4000000e+01 -8.4761000e+02 3.2203000e+02 8.9614000e+01
+ 8.1000000e+01 -5.9000000e+02 5.2800000e+02 5.4000000e+02 -1.5290000e+03 -4.9200000e+02 -8.3400000e+02 3.3400000e+02 8.9000000e+01 -8.3049000e+02 3.2009000e+02 9.2469000e+01
+ 8.2000000e+01 -5.9000000e+02 5.4200000e+02 5.3200000e+02 -1.5250000e+03 -5.8500000e+02 -8.3000000e+02 3.1400000e+02 8.7000000e+01 -8.2846000e+02 3.1553000e+02 9.4985000e+01
+ 8.3000000e+01 -5.9000000e+02 5.5600000e+02 5.3500000e+02 -1.5220000e+03 -6.0600000e+02 -8.3800000e+02 3.2200000e+02 9.3000000e+01 -8.3581000e+02 3.1346000e+02 8.7866000e+01
+ 8.4000000e+01 -5.9100000e+02 6.3700000e+02 5.3500000e+02 -1.5160000e+03 -5.7100000e+02 -8.5900000e+02 3.1300000e+02 7.3000000e+01 -8.6579000e+02 3.0933000e+02 7.8707000e+01
+ 8.5000000e+01 -5.9100000e+02 6.0800000e+02 5.3900000e+02 -1.5120000e+03 -5.8200000e+02 -8.6400000e+02 3.1700000e+02 5.9000000e+01 -8.7875000e+02 3.0332000e+02 6.6118000e+01
+ 8.6000000e+01 -5.9100000e+02 5.4500000e+02 5.2700000e+02 -1.5100000e+03 -5.7700000e+02 -8.5200000e+02 3.1800000e+02 4.8000000e+01 -8.7088000e+02 3.0568000e+02 6.8631000e+01
+ 8.7000000e+01 -5.9100000e+02 6.0300000e+02 5.3400000e+02 -1.5070000e+03 -5.4800000e+02 -8.5000000e+02 3.1300000e+02 5.9000000e+01 -8.8223000e+02 3.0798000e+02 7.8352000e+01
+ 8.8000000e+01 -5.9200000e+02 5.6700000e+02 5.2100000e+02 -1.5070000e+03 -5.3900000e+02 -8.5800000e+02 3.2700000e+02 6.5000000e+01 -8.7468000e+02 3.0969000e+02 8.1284000e+01
+ 8.9000000e+01 -5.9400000e+02 5.6000000e+02 5.3000000e+02 -1.5030000e+03 -5.8300000e+02 -8.4900000e+02 3.3200000e+02 8.2000000e+01 -8.7303000e+02 3.1031000e+02 8.4548000e+01
+ 9.0000000e+01 -4.2200000e+02 5.4900000e+02 5.3400000e+02 -1.4870000e+03 -5.4200000e+02 -8.2200000e+02 3.3200000e+02 7.7000000e+01 -8.3729000e+02 3.2221000e+02 9.0986000e+01
+ 9.1000000e+01 5.0000000e+00 6.1900000e+02 5.5000000e+02 -1.4880000e+03 -6.0900000e+02 -7.2100000e+02 3.7700000e+02 1.2100000e+02 -7.2904000e+02 3.8596000e+02 1.2442000e+02
+ 9.2000000e+01 5.0000000e+00 5.7200000e+02 5.4100000e+02 -1.4870000e+03 -5.4500000e+02 -5.1700000e+02 4.9200000e+02 1.9300000e+02 -5.2249000e+02 5.2045000e+02 2.0006000e+02
+ 9.3000000e+01 1.8500000e+02 5.6400000e+02 5.2900000e+02 -1.4880000e+03 -5.2800000e+02 -3.0600000e+02 5.9600000e+02 2.2600000e+02 -3.0673000e+02 6.2942000e+02 2.3608000e+02
+ 9.4000000e+01 1.8500000e+02 5.7100000e+02 5.3100000e+02 -1.4970000e+03 -5.1200000e+02 -1.1700000e+02 6.8300000e+02 2.4400000e+02 -1.0361000e+02 7.1070000e+02 2.5796000e+02
+ 9.5000000e+01 1.8700000e+02 5.9000000e+02 5.4500000e+02 -1.4890000e+03 -4.7200000e+02 2.2000000e+01 7.1600000e+02 2.1200000e+02 5.3402000e+01 7.3594000e+02 2.4863000e+02
+ 9.6000000e+01 1.8600000e+02 6.5800000e+02 5.4400000e+02 -1.4850000e+03 -5.0100000e+02 8.7000000e+01 6.8400000e+02 1.5700000e+02 1.4233000e+02 7.1445000e+02 2.1881000e+02
+ 9.7000000e+01 1.8500000e+02 6.3900000e+02 5.5300000e+02 -1.4860000e+03 -5.1200000e+02 1.5100000e+02 6.4200000e+02 1.2900000e+02 2.0601000e+02 6.6828000e+02 1.7985000e+02
+ 9.8000000e+01 1.8700000e+02 6.0400000e+02 5.3200000e+02 -1.4860000e+03 -4.9000000e+02 1.9800000e+02 5.9900000e+02 1.0500000e+02 2.5802000e+02 6.2297000e+02 1.5470000e+02
+ 9.9000000e+01 1.8600000e+02 5.8400000e+02 5.3500000e+02 -1.4860000e+03 -5.0500000e+02 2.3300000e+02 5.4900000e+02 9.3000000e+01 2.9648000e+02 5.8250000e+02 1.3539000e+02
+ 1.0000000e+02 1.8700000e+02 5.7200000e+02 5.4100000e+02 -1.4880000e+03 -4.7900000e+02 2.4400000e+02 5.1200000e+02 8.3000000e+01 3.2549000e+02 5.4968000e+02 1.1719000e+02
+ 1.0100000e+02 1.8600000e+02 5.7000000e+02 5.3100000e+02 -1.4860000e+03 -4.7700000e+02 2.5500000e+02 4.8700000e+02 7.0000000e+01 3.4362000e+02 5.2214000e+02 9.8206000e+01
+ 1.0200000e+02 1.8700000e+02 5.7900000e+02 5.3900000e+02 -1.4880000e+03 -4.8200000e+02 2.4700000e+02 4.5300000e+02 4.9000000e+01 3.4767000e+02 4.9574000e+02 7.5141000e+01
+ 1.0300000e+02 1.8700000e+02 6.9400000e+02 5.3700000e+02 -1.4870000e+03 -5.1200000e+02 2.2500000e+02 4.3700000e+02 3.2000000e+01 3.0455000e+02 4.6885000e+02 4.6410000e+01
+ 1.0400000e+02 1.8700000e+02 7.2700000e+02 5.4600000e+02 -1.4940000e+03 -4.7400000e+02 1.7500000e+02 4.1000000e+02 4.0000000e+00 2.5913000e+02 4.3960000e+02 1.0081000e+01
+ 1.0500000e+02 1.8600000e+02 8.3800000e+02 5.4500000e+02 -1.4930000e+03 -4.7000000e+02 1.0500000e+02 3.8600000e+02 -1.2000000e+01 1.8142000e+02 4.1156000e+02 -1.6888000e+01
+ 1.0600000e+02 1.8600000e+02 7.0300000e+02 5.2700000e+02 -1.4920000e+03 -5.1000000e+02 8.6000000e+01 3.7900000e+02 -3.5000000e+01 1.6174000e+02 3.9385000e+02 -3.8281000e+01
+ 1.0700000e+02 1.8500000e+02 6.3400000e+02 5.0200000e+02 -1.4900000e+03 -4.8600000e+02 1.0100000e+02 3.8200000e+02 -1.6000000e+01 1.6494000e+02 3.9846000e+02 -2.7035000e+01
+ 1.0800000e+02 1.8500000e+02 6.5900000e+02 5.0200000e+02 -1.4900000e+03 -4.4600000e+02 1.1100000e+02 4.1200000e+02 3.0000000e+00 1.6546000e+02 4.0805000e+02 -1.2917000e+01
+ 1.0900000e+02 1.8500000e+02 5.6900000e+02 4.8300000e+02 -1.4880000e+03 -4.7200000e+02 1.5800000e+02 4.5100000e+02 3.1000000e+01 1.9732000e+02 4.2065000e+02 -8.5192000e+00
+ 1.1000000e+02 1.8400000e+02 5.5200000e+02 4.9400000e+02 -1.4870000e+03 -4.6800000e+02 2.1700000e+02 4.8600000e+02 3.7000000e+01 2.2300000e+02 4.3131000e+02 -2.7869000e+00
+ 1.1100000e+02 1.8300000e+02 5.4100000e+02 4.9200000e+02 -1.4870000e+03 -4.1100000e+02 2.5900000e+02 5.0400000e+02 2.9000000e+01 2.5116000e+02 4.3577000e+02 -6.0594000e-01
+ 1.1200000e+02 1.8400000e+02 5.4400000e+02 5.1900000e+02 -1.4860000e+03 -4.7100000e+02 3.0100000e+02 5.0300000e+02 2.4000000e+01 2.6614000e+02 4.2886000e+02 -7.9360000e+00
+ 1.1300000e+02 1.8400000e+02 5.7700000e+02 5.3800000e+02 -1.4870000e+03 -4.2000000e+02 3.1700000e+02 4.9500000e+02 7.0000000e+00 2.6639000e+02 4.1730000e+02 -1.8176000e+01
+ 1.1400000e+02 1.8300000e+02 5.3600000e+02 5.4600000e+02 -1.4900000e+03 -4.5500000e+02 3.5400000e+02 4.7200000e+02 -3.0000000e+00 2.7792000e+02 4.0135000e+02 -3.0467000e+01
+ 1.1500000e+02 1.8300000e+02 5.8600000e+02 5.6700000e+02 -1.4870000e+03 -4.2100000e+02 3.6100000e+02 4.4100000e+02 -8.0000000e+00 2.6722000e+02 3.8643000e+02 -3.7483000e+01
+ 1.1600000e+02 1.8300000e+02 5.5400000e+02 5.6600000e+02 -1.4850000e+03 -4.4900000e+02 3.6800000e+02 4.1300000e+02 -3.2000000e+01 2.6926000e+02 3.7190000e+02 -4.8684000e+01
+ 1.1700000e+02 1.8300000e+02 5.6400000e+02 5.5800000e+02 -1.4860000e+03 -4.5500000e+02 3.6200000e+02 3.8100000e+02 -3.4000000e+01 2.6287000e+02 3.6434000e+02 -5.4379000e+01
+ 1.1800000e+02 1.8200000e+02 5.5800000e+02 5.4600000e+02 -1.4860000e+03 -4.2600000e+02 3.5400000e+02 3.7000000e+02 -4.2000000e+01 2.6174000e+02 3.6010000e+02 -5.9689000e+01
+ 1.1900000e+02 1.8300000e+02 6.5900000e+02 5.4300000e+02 -1.4860000e+03 -3.9800000e+02 3.1000000e+02 3.6000000e+02 -3.6000000e+01 2.2701000e+02 3.5303000e+02 -6.5843000e+01
+ 1.2000000e+02 1.8200000e+02 5.4500000e+02 5.3100000e+02 -1.4870000e+03 -4.2500000e+02 3.1800000e+02 3.6900000e+02 -3.6000000e+01 2.3616000e+02 3.4604000e+02 -7.7839000e+01
+ 1.2100000e+02 1.8200000e+02 5.4200000e+02 5.1300000e+02 -1.4870000e+03 -2.9700000e+02 3.1300000e+02 3.7200000e+02 -3.6000000e+01 2.4511000e+02 3.4670000e+02 -6.4510000e+01
+ 1.2200000e+02 1.8100000e+02 5.4900000e+02 5.0200000e+02 -1.4860000e+03 -4.0700000e+02 2.9800000e+02 3.7700000e+02 -2.8000000e+01 2.4424000e+02 3.4101000e+02 -6.1099000e+01
+ 1.2300000e+02 1.8000000e+02 5.5800000e+02 9.6300000e+02 -1.4870000e+03 -3.9100000e+02 3.1100000e+02 3.4100000e+02 -3.4000000e+01 2.3478000e+02 2.8119000e+02 -8.9875000e+01
+ 1.2400000e+02 1.8200000e+02 5.4600000e+02 1.1050000e+03 -1.4870000e+03 -3.8800000e+02 3.3900000e+02 2.9200000e+02 -3.3000000e+01 2.4633000e+02 2.2655000e+02 -9.5657000e+01
+ 1.2500000e+02 1.7900000e+02 5.4000000e+02 1.1660000e+03 -1.4870000e+03 -3.8700000e+02 3.6200000e+02 2.2300000e+02 -5.2000000e+01 2.6724000e+02 1.7790000e+02 -9.9019000e+01
+ 1.2600000e+02 1.8100000e+02 5.1900000e+02 1.2210000e+03 -1.4870000e+03 -3.9000000e+02 3.8000000e+02 1.6100000e+02 -7.3000000e+01 2.9541000e+02 1.4264000e+02 -1.0449000e+02
+ 1.2700000e+02 1.7900000e+02 5.1000000e+02 1.2540000e+03 -1.4860000e+03 -3.8200000e+02 3.9700000e+02 1.1300000e+02 -9.0000000e+01 3.2181000e+02 1.1830000e+02 -1.1343000e+02
+ 1.2800000e+02 1.7600000e+02 5.2800000e+02 1.2890000e+03 -1.4870000e+03 -3.7900000e+02 4.0200000e+02 6.4000000e+01 -1.1700000e+02 3.3516000e+02 9.5063000e+01 -1.2924000e+02
+ 1.2900000e+02 1.7800000e+02 5.1000000e+02 1.3100000e+03 -1.4860000e+03 -3.8900000e+02 3.9800000e+02 3.0000000e+01 -1.3600000e+02 3.4895000e+02 7.2730000e+01 -1.5002000e+02
+ 1.3000000e+02 1.7800000e+02 5.0400000e+02 1.3130000e+03 -1.4840000e+03 -3.5700000e+02 3.9600000e+02 1.2000000e+01 -1.4800000e+02 3.6050000e+02 5.4633000e+01 -1.6540000e+02
+ 1.3100000e+02 1.7800000e+02 5.0700000e+02 1.3280000e+03 -1.4840000e+03 -3.8300000e+02 3.9000000e+02 -2.2000000e+01 -1.8900000e+02 3.6438000e+02 3.5910000e+01 -1.8175000e+02
+ 1.3200000e+02 1.7800000e+02 5.1900000e+02 1.3330000e+03 -1.4890000e+03 -4.2600000e+02 3.7700000e+02 -4.7000000e+01 -2.1100000e+02 3.5706000e+02 2.0586000e+01 -2.0088000e+02
+ 1.3300000e+02 1.8300000e+02 5.0900000e+02 1.3170000e+03 -1.4830000e+03 -3.7700000e+02 3.6600000e+02 -5.4000000e+01 -2.2700000e+02 3.5720000e+02 1.1883000e+01 -2.1619000e+02
+ 1.3400000e+02 1.7700000e+02 5.8500000e+02 1.3310000e+03 -1.4830000e+03 -3.5200000e+02 3.3100000e+02 -5.2000000e+01 -2.4000000e+02 3.3189000e+02 2.1037000e-01 -2.2803000e+02
+ 1.3500000e+02 1.7600000e+02 7.6500000e+02 1.3340000e+03 -1.4840000e+03 -3.7500000e+02 2.2700000e+02 -7.4000000e+01 -2.8900000e+02 2.4736000e+02 -2.0930000e+01 -2.5263000e+02
+ 1.3600000e+02 1.9600000e+02 6.8900000e+02 1.3280000e+03 -1.4840000e+03 -3.8100000e+02 1.6800000e+02 -1.1700000e+02 -3.5500000e+02 2.0816000e+02 -4.1729000e+01 -2.8200000e+02
+ 1.3700000e+02 1.7800000e+02 5.7000000e+02 1.3060000e+03 -1.4860000e+03 -3.9800000e+02 1.4900000e+02 -1.0400000e+02 -3.5700000e+02 2.1199000e+02 -4.0768000e+01 -2.7427000e+02
+ 1.3800000e+02 1.7600000e+02 9.9700000e+02 1.3380000e+03 -1.4830000e+03 -3.6000000e+02 1.0000000e+01 -1.0100000e+02 -3.4400000e+02 7.1400000e+01 -4.9590000e+01 -2.7042000e+02
+ 1.3900000e+02 1.7600000e+02 8.3900000e+02 1.3180000e+03 -1.4870000e+03 -3.6600000e+02 -7.7000000e+01 -1.1500000e+02 -3.7400000e+02 2.8047000e+01 -6.5137000e+01 -3.0496000e+02
+ 1.4000000e+02 1.7600000e+02 8.7900000e+02 1.3240000e+03 -9.0000000e+01 -3.9400000e+02 -1.1600000e+02 -8.8000000e+01 -3.3000000e+02 -2.4797000e+01 -5.7719000e+01 -2.9579000e+02
+ 1.4100000e+02 1.7500000e+02 7.6300000e+02 1.3020000e+03 -9.2000000e+01 -4.3600000e+02 -1.0600000e+02 -5.3000000e+01 -2.2300000e+02 -3.8838000e+01 -4.8734000e+01 -2.1711000e+02
+ 1.4200000e+02 1.7500000e+02 7.3900000e+02 1.3070000e+03 -9.2000000e+01 -4.3000000e+02 -8.2000000e+01 -4.0000000e+00 -9.8000000e+01 -4.8961000e+01 -2.6414000e+01 -1.1805000e+02
+ 1.4300000e+02 1.7600000e+02 7.9100000e+02 1.3360000e+03 -8.6000000e+01 -4.4600000e+02 -9.9000000e+01 5.0000000e+00 -4.0000000e+01 -6.7477000e+01 -1.6152000e+01 -4.5201000e+01
+ 1.4400000e+02 1.7500000e+02 7.7400000e+02 1.3010000e+03 -9.1000000e+01 -4.0500000e+02 -8.9000000e+01 2.2000000e+01 3.0000000e+00 -6.5975000e+01 -1.7671000e+00 7.8503000e+00
+ 1.4500000e+02 1.7400000e+02 7.8200000e+02 1.3040000e+03 -9.1000000e+01 -4.1400000e+02 -7.9000000e+01 3.4000000e+01 2.6000000e+01 -6.8772000e+01 7.0271000e+00 4.3450000e+01
+ 1.4600000e+02 1.8900000e+02 7.2200000e+02 1.3350000e+03 -9.2000000e+01 -3.6000000e+02 -7.4000000e+01 3.4000000e+01 4.2000000e+01 -4.6429000e+01 1.1105000e+01 6.8121000e+01
+ 1.4700000e+02 1.7300000e+02 8.7100000e+02 1.3410000e+03 -9.1000000e+01 -4.1700000e+02 -1.0100000e+02 2.8000000e+01 6.1000000e+01 -8.4487000e+01 8.1047000e+00 8.5300000e+01
+ 1.4800000e+02 1.7300000e+02 8.2500000e+02 1.3370000e+03 -8.6000000e+01 -3.8300000e+02 -1.0200000e+02 2.8000000e+01 7.3000000e+01 -9.8173000e+01 -3.6908000e+00 7.6166000e+01
+ 1.4900000e+02 1.9300000e+02 8.3600000e+02 1.3320000e+03 -8.6000000e+01 -4.4900000e+02 -1.2400000e+02 2.2000000e+01 7.4000000e+01 -1.2005000e+02 -1.1467000e+01 7.6462000e+01
+ 1.5000000e+02 1.7400000e+02 8.3200000e+02 1.3250000e+03 -8.7000000e+01 -4.3200000e+02 -1.2500000e+02 1.9000000e+01 9.0000000e+01 -1.3460000e+02 -9.7526000e+00 7.9281000e+01
+ 1.5100000e+02 1.7500000e+02 8.3400000e+02 1.3260000e+03 -8.8000000e+01 -3.8300000e+02 -1.3200000e+02 9.0000000e+00 1.0000000e+02 -1.4502000e+02 -9.1438000e+00 8.1874000e+01
+ 1.5200000e+02 1.7600000e+02 8.9900000e+02 1.3320000e+03 -8.6000000e+01 -3.4100000e+02 -1.6700000e+02 8.0000000e+00 1.0200000e+02 -1.7275000e+02 -1.2691000e+01 8.4682000e+01
+ 1.5300000e+02 1.9500000e+02 8.2700000e+02 1.2960000e+03 -8.4000000e+01 -3.7100000e+02 -1.6100000e+02 7.0000000e+00 9.0000000e+01 -1.6926000e+02 -1.3264000e+01 8.5342000e+01
+ 1.5400000e+02 1.7400000e+02 8.9700000e+02 1.3110000e+03 -8.6000000e+01 -3.6600000e+02 -1.8500000e+02 1.9000000e+01 1.0500000e+02 -1.9553000e+02 -1.3720000e+01 9.3662000e+01
+ 1.5500000e+02 1.9500000e+02 8.4800000e+02 1.3200000e+03 -8.6000000e+01 -4.1600000e+02 -2.0700000e+02 2.9000000e+01 1.1000000e+02 -1.9946000e+02 -1.8479000e+01 8.7466000e+01
+ 1.5600000e+02 1.9200000e+02 7.7700000e+02 1.2860000e+03 -8.3000000e+01 1.2600000e+02 -2.9500000e+02 2.4000000e+01 1.5900000e+02 -1.4262000e+02 -1.2136000e+01 1.2313000e+02
+ 1.5700000e+02 1.7100000e+02 7.8800000e+02 1.3090000e+03 -8.4000000e+01 1.5300000e+02 -3.6100000e+02 1.7000000e+01 2.9300000e+02 -1.0476000e+02 -4.2073000e+01 1.6220000e+02
+ 1.5800000e+02 1.7100000e+02 8.1000000e+02 1.3070000e+03 -8.4000000e+01 1.7300000e+02 -4.1100000e+02 1.2000000e+01 4.3600000e+02 -1.0741000e+02 -9.5394000e+01 1.7308000e+02
+ 1.5900000e+02 1.7400000e+02 7.5800000e+02 1.2970000e+03 -8.5000000e+01 1.8200000e+02 -4.0100000e+02 4.8000000e+01 5.4000000e+02 -1.0825000e+02 -1.6499000e+02 1.6789000e+02
+ 1.6000000e+02 1.8800000e+02 9.1000000e+02 1.3290000e+03 -1.0360000e+03 2.3600000e+02 -4.4100000e+02 8.6000000e+01 6.0100000e+02 -1.7774000e+02 -2.4514000e+02 1.5380000e+02
+ 1.6100000e+02 1.8900000e+02 9.4400000e+02 1.3440000e+03 -1.6690000e+03 2.4500000e+02 -4.7500000e+02 1.1800000e+02 5.5300000e+02 -2.4260000e+02 -3.2187000e+02 7.0373000e+01
+ 1.6200000e+02 1.9600000e+02 8.5900000e+02 1.3300000e+03 -1.6680000e+03 2.4900000e+02 -4.4800000e+02 1.4600000e+02 4.7200000e+02 -2.6573000e+02 -3.7763000e+02 -4.3409000e+01
+ 1.6300000e+02 1.9000000e+02 7.9700000e+02 1.3200000e+03 -1.6690000e+03 2.3100000e+02 -4.0100000e+02 1.7200000e+02 4.2800000e+02 -2.7365000e+02 -4.0826000e+02 -1.3692000e+02
+ 1.6400000e+02 1.9100000e+02 7.8400000e+02 1.3410000e+03 -1.6650000e+03 2.4800000e+02 -3.6600000e+02 1.9700000e+02 4.0000000e+02 -2.8471000e+02 -4.2695000e+02 -2.1685000e+02
+ 1.6500000e+02 1.8400000e+02 7.3700000e+02 1.3350000e+03 -1.6560000e+03 2.4000000e+02 -3.0400000e+02 2.3100000e+02 3.9100000e+02 -2.8533000e+02 -4.4063000e+02 -2.8394000e+02
+ 1.6600000e+02 1.8200000e+02 7.3300000e+02 1.3420000e+03 -1.6550000e+03 2.4500000e+02 -2.5200000e+02 2.5300000e+02 3.8700000e+02 -2.9337000e+02 -4.5478000e+02 -3.3608000e+02
+ 1.6700000e+02 1.8200000e+02 6.9600000e+02 1.3500000e+03 -1.6530000e+03 2.5300000e+02 -1.8300000e+02 2.6100000e+02 3.9900000e+02 -2.9063000e+02 -4.6898000e+02 -3.7665000e+02
+ 1.6800000e+02 1.8500000e+02 6.1400000e+02 1.3410000e+03 -1.6580000e+03 2.3600000e+02 -1.2300000e+02 2.5500000e+02 4.0500000e+02 -2.6515000e+02 -4.7623000e+02 -4.0169000e+02
+ 1.6900000e+02 1.8800000e+02 7.0800000e+02 1.3700000e+03 -1.6540000e+03 2.3800000e+02 -1.0700000e+02 2.4700000e+02 3.9700000e+02 -2.7894000e+02 -4.8478000e+02 -4.2040000e+02
+ 1.7000000e+02 1.9100000e+02 7.2900000e+02 1.3660000e+03 -1.6550000e+03 2.3700000e+02 -7.6000000e+01 2.2800000e+02 3.9200000e+02 -2.9231000e+02 -4.9574000e+02 -4.4865000e+02
+ 1.7100000e+02 1.8300000e+02 7.1400000e+02 1.3800000e+03 -1.6510000e+03 2.6200000e+02 -7.1000000e+01 2.0500000e+02 3.8900000e+02 -3.0028000e+02 -5.0779000e+02 -4.6987000e+02
+ 1.7200000e+02 1.8600000e+02 6.9500000e+02 1.3780000e+03 -1.6510000e+03 2.5700000e+02 -6.6000000e+01 1.9200000e+02 3.8100000e+02 -3.0339000e+02 -5.1827000e+02 -4.8047000e+02
+ 1.7300000e+02 1.8900000e+02 7.5800000e+02 1.3870000e+03 -1.6490000e+03 2.7600000e+02 -9.2000000e+01 1.7100000e+02 3.7100000e+02 -3.2633000e+02 -5.2843000e+02 -4.8664000e+02
+ 1.7400000e+02 1.6400000e+02 5.7200000e+02 1.3640000e+03 -1.6490000e+03 2.5700000e+02 -4.0000000e+01 1.7800000e+02 3.5600000e+02 -2.8437000e+02 -5.3105000e+02 -4.9061000e+02
+ 1.7500000e+02 1.6300000e+02 5.8700000e+02 1.3430000e+03 -1.6500000e+03 2.4600000e+02 -1.5000000e+01 1.8500000e+02 3.5300000e+02 -2.6933000e+02 -5.2618000e+02 -4.7915000e+02
+ 1.7600000e+02 1.6100000e+02 6.8300000e+02 1.3530000e+03 -1.6580000e+03 2.6100000e+02 -2.7000000e+01 1.7000000e+02 3.5900000e+02 -2.8677000e+02 -5.2909000e+02 -4.8587000e+02
+ 1.7700000e+02 1.6000000e+02 5.7200000e+02 1.3590000e+03 -1.6540000e+03 2.6100000e+02 1.5000000e+01 1.7300000e+02 3.5100000e+02 -2.6299000e+02 -5.3393000e+02 -5.0195000e+02
+ 1.7800000e+02 1.6000000e+02 6.0700000e+02 1.3550000e+03 -1.6510000e+03 2.6700000e+02 2.3000000e+01 1.7500000e+02 3.5600000e+02 -2.6303000e+02 -5.3557000e+02 -5.0135000e+02
+ 1.7900000e+02 1.5800000e+02 5.8000000e+02 1.3490000e+03 -1.6550000e+03 2.7300000e+02 4.4000000e+01 1.7800000e+02 3.3800000e+02 -2.5204000e+02 -5.3960000e+02 -5.0662000e+02
+ 1.8000000e+02 1.6100000e+02 6.3100000e+02 1.3620000e+03 -1.6520000e+03 2.7200000e+02 4.7000000e+01 1.7100000e+02 3.2300000e+02 -2.6356000e+02 -5.4610000e+02 -5.1190000e+02
+ 1.8100000e+02 1.6000000e+02 7.0600000e+02 1.3820000e+03 -1.6570000e+03 2.9800000e+02 4.0000000e+00 1.5300000e+02 2.9400000e+02 -2.9576000e+02 -5.5968000e+02 -5.2427000e+02
+ 1.8200000e+02 1.6100000e+02 6.0100000e+02 1.3560000e+03 -1.6540000e+03 2.7700000e+02 2.3000000e+01 1.4100000e+02 2.9500000e+02 -2.8718000e+02 -5.6851000e+02 -5.3400000e+02
+ 1.8300000e+02 1.5900000e+02 5.7000000e+02 1.3540000e+03 -1.6530000e+03 2.7400000e+02 3.9000000e+01 1.4100000e+02 3.0600000e+02 -2.7639000e+02 -5.6855000e+02 -5.2629000e+02
+ 1.8400000e+02 1.5800000e+02 5.4700000e+02 1.3470000e+03 -1.6570000e+03 2.6100000e+02 5.2000000e+01 1.3900000e+02 3.1300000e+02 -2.5927000e+02 -5.6399000e+02 -5.2010000e+02
+ 1.8500000e+02 1.5800000e+02 5.8200000e+02 1.3320000e+03 -1.6570000e+03 2.5700000e+02 5.3000000e+01 1.4200000e+02 3.1300000e+02 -2.5785000e+02 -5.5747000e+02 -5.2015000e+02
+ 1.8600000e+02 1.5700000e+02 5.7000000e+02 1.3400000e+03 -1.6570000e+03 2.6700000e+02 6.9000000e+01 1.4200000e+02 3.1200000e+02 -2.5199000e+02 -5.5578000e+02 -5.2904000e+02
+ 1.8700000e+02 1.5400000e+02 5.5600000e+02 1.3430000e+03 -1.6570000e+03 2.6800000e+02 7.4000000e+01 1.3600000e+02 3.0600000e+02 -2.4545000e+02 -5.5582000e+02 -5.3401000e+02
+ 1.8800000e+02 1.5700000e+02 5.3700000e+02 1.3450000e+03 -1.6570000e+03 -4.2500000e+02 1.9600000e+02 1.6400000e+02 2.7700000e+02 -2.8011000e+02 -5.4967000e+02 -5.7073000e+02
+ 1.8900000e+02 1.5800000e+02 5.5500000e+02 1.3310000e+03 -1.6530000e+03 -5.8100000e+02 3.4700000e+02 2.0800000e+02 1.3300000e+02 -3.1995000e+02 -4.9697000e+02 -6.1617000e+02
+ 1.9000000e+02 1.5800000e+02 5.5100000e+02 1.3150000e+03 -1.6540000e+03 -6.4300000e+02 4.6100000e+02 2.3000000e+02 -5.8000000e+01 -3.2126000e+02 -4.1269000e+02 -6.4590000e+02
+ 1.9100000e+02 1.5900000e+02 5.9000000e+02 1.3220000e+03 -1.6560000e+03 -6.8700000e+02 5.2600000e+02 2.0400000e+02 -2.5100000e+02 -3.1328000e+02 -3.0600000e+02 -6.5649000e+02
+ 1.9200000e+02 1.6000000e+02 5.6600000e+02 1.3150000e+03 -1.6570000e+03 -7.3700000e+02 5.8100000e+02 1.6100000e+02 -3.8500000e+02 -2.7765000e+02 -1.9647000e+02 -6.5015000e+02
+ 1.9300000e+02 1.6000000e+02 5.5300000e+02 1.3150000e+03 -1.6530000e+03 -7.6700000e+02 5.8800000e+02 1.1900000e+02 -4.5800000e+02 -2.2465000e+02 -9.2677000e+01 -6.1837000e+02
+ 1.9400000e+02 1.6100000e+02 6.4400000e+02 1.3270000e+03 -1.3960000e+03 -7.3100000e+02 5.4900000e+02 6.3000000e+01 -5.2800000e+02 -1.8456000e+02 -2.2277000e+00 -5.7001000e+02
+ 1.9500000e+02 1.5900000e+02 6.4000000e+02 1.3350000e+03 -5.7700000e+02 -6.3900000e+02 4.9700000e+02 5.0000000e+00 -5.5000000e+02 -1.1778000e+02 7.2004000e+01 -5.0293000e+02
+ 1.9600000e+02 1.6100000e+02 7.2600000e+02 1.3340000e+03 -5.7700000e+02 -7.3000000e+02 4.2000000e+02 -2.0000000e+01 -4.9800000e+02 -9.6611000e+01 1.2077000e+02 -3.9313000e+02
+ 1.9700000e+02 1.7500000e+02 7.2900000e+02 1.3100000e+03 -5.7300000e+02 -7.1100000e+02 3.2700000e+02 -4.9000000e+01 -4.6400000e+02 -6.9050000e+01 1.5983000e+02 -2.8852000e+02
+ 1.9800000e+02 1.7500000e+02 8.5400000e+02 1.3300000e+03 -5.7600000e+02 -6.9000000e+02 1.9800000e+02 -7.8000000e+01 -4.3800000e+02 -7.2970000e+01 1.8176000e+02 -1.9352000e+02
+ 1.9900000e+02 1.6100000e+02 7.2900000e+02 1.3130000e+03 -5.7300000e+02 -6.3600000e+02 1.5400000e+02 -8.0000000e+01 -4.0900000e+02 -1.7599000e+01 2.0261000e+02 -1.1462000e+02
+ 2.0000000e+02 1.7600000e+02 7.0600000e+02 1.3140000e+03 -5.8300000e+02 -7.4500000e+02 1.3000000e+02 -6.0000000e+01 -3.7700000e+02 2.7441000e+01 2.2371000e+02 -4.0925000e+01
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-03-21 16:01:13
|
Revision: 9992
http://octave.svn.sourceforge.net/octave/?rev=9992&view=rev
Author: paramaniac
Date: 2012-03-21 16:01:02 +0000 (Wed, 21 Mar 2012)
Log Message:
-----------
control-devel: files to compare identification results with non-free octave clones
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/power_plant.m
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/MLexp/
trunk/octave-forge/extra/control-devel/devel/MLexp/mln4sid.m
trunk/octave-forge/extra/control-devel/devel/MLexp/mlpplant.m
trunk/octave-forge/extra/control-devel/devel/MLexp/powerplant.dat
trunk/octave-forge/extra/control-devel/devel/MLexp/pplant.mat
Added: trunk/octave-forge/extra/control-devel/devel/MLexp/mln4sid.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/MLexp/mln4sid.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/MLexp/mln4sid.m 2012-03-21 16:01:02 UTC (rev 9992)
@@ -0,0 +1,90 @@
+%{
+This file describes the data in the powerplant.dat file.
+1. Contributed by:
+ Peter Van Overschee
+ K.U.Leuven - ESAT - SISTA
+ K. Mercierlaan 94
+ 3001 Heverlee
+ Pet...@es...
+2. Process/Description:
+ data of a power plant (Pont-sur-Sambre (France)) of 120 MW
+3. Sampling time
+ 1228.8 sec
+4. Number of samples:
+ 200 samples
+5. Inputs:
+ 1. gas flow
+ 2. turbine valves opening
+ 3. super heater spray flow
+ 4. gas dampers
+ 5. air flow
+6. Outputs:
+ 1. steam pressure
+ 2. main stem temperature
+ 3. reheat steam temperature
+7. References:
+ a. R.P. Guidorzi, P. Rossi, Identification of a power plant from normal
+ operating records. Automatic control theory and applications (Canada,
+ Vol 2, pp 63-67, sept 1974.
+ b. Moonen M., De Moor B., Vandenberghe L., Vandewalle J., On- and
+ off-line identification of linear state-space models, International
+ Journal of Control, Vol. 49, Jan. 1989, pp.219-232
+8. Known properties/peculiarities
+
+9. Some MATLAB-code to retrieve the data
+ !gunzip powerplant.dat.Z
+ load powerplant.dat
+ U=powerplant(:,1:5);
+ Y=powerplant(:,6:8);
+ Yr=powerplant(:,9:11);
+
+%}
+
+clear all, close all, clc
+
+load powerplant.dat
+U=powerplant(:,1:5);
+Y=powerplant(:,6:8);
+Yr=powerplant(:,9:11);
+
+inname = {'gas flow',
+ 'turbine valves opening',
+ 'super heater spray flow',
+ 'gas dampers',
+ 'air flow'};
+
+outname = {'steam pressure',
+ 'main steam temperature',
+ 'reheat steam temperature'};
+
+tsam = 1228.8;
+
+dat = iddata (Y, U, tsam, 'outputname', outname, 'inputname', inname)
+
+
+
+[sys, x0] = n4sid (dat, 8); % s=10, n=8
+
+
+%sys = ss (a, b, c, d, 1);
+
+x0 = sys.x0
+sys = ss (sys);
+sys = sys(:, 'Measured')
+
+[y, t] = lsim (sys, U, [], x0);
+%[y, t] = lsim (sys, U, 1:size(U,1));
+
+
+err = norm (Y - y, 1) / norm (Y, 1)
+
+figure (1)
+p = size (Y, 2);
+for k = 1 : p
+ subplot (3, 1, k)
+ plot (t, Y(:,k), 'b', t, y(:,k), 'r')
+end
+%title ('DaISy: Power Plant')
+%legend ('y measured', 'y simulated', 'location', 'southeast')
+
+
Added: trunk/octave-forge/extra/control-devel/devel/MLexp/mlpplant.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/MLexp/mlpplant.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/MLexp/mlpplant.m 2012-03-21 16:01:02 UTC (rev 9992)
@@ -0,0 +1,72 @@
+%{
+This file describes the data in the powerplant.dat file.
+1. Contributed by:
+ Peter Van Overschee
+ K.U.Leuven - ESAT - SISTA
+ K. Mercierlaan 94
+ 3001 Heverlee
+ Pet...@es...
+2. Process/Description:
+ data of a power plant (Pont-sur-Sambre (France)) of 120 MW
+3. Sampling time
+ 1228.8 sec
+4. Number of samples:
+ 200 samples
+5. Inputs:
+ 1. gas flow
+ 2. turbine valves opening
+ 3. super heater spray flow
+ 4. gas dampers
+ 5. air flow
+6. Outputs:
+ 1. steam pressure
+ 2. main stem temperature
+ 3. reheat steam temperature
+7. References:
+ a. R.P. Guidorzi, P. Rossi, Identification of a power plant from normal
+ operating records. Automatic control theory and applications (Canada,
+ Vol 2, pp 63-67, sept 1974.
+ b. Moonen M., De Moor B., Vandenberghe L., Vandewalle J., On- and
+ off-line identification of linear state-space models, International
+ Journal of Control, Vol. 49, Jan. 1989, pp.219-232
+8. Known properties/peculiarities
+
+9. Some MATLAB-code to retrieve the data
+ !gunzip powerplant.dat.Z
+ load powerplant.dat
+ U=powerplant(:,1:5);
+ Y=powerplant(:,6:8);
+ Yr=powerplant(:,9:11);
+
+%}
+
+clear all, close all, clc
+
+load powerplant.dat
+U=powerplant(:,1:5);
+Y=powerplant(:,6:8);
+Yr=powerplant(:,9:11);
+
+%{
+dat = iddata (Y, U)
+
+[sys, x0] = ident (dat, 10, 8) % s=10, n=8
+%}
+load pplant
+
+sys = ss (a, b, c, d, 1);
+
+[y, t] = lsim (sys, U, 1:size(U,1), x0);
+
+err = norm (Y - y, 1) / norm (Y, 1)
+
+figure (1)
+p = size (Y, 2);
+for k = 1 : p
+ subplot (3, 1, k)
+ plot (t, Y(:,k), 'b', t, y(:,k), 'r')
+end
+%title ('DaISy: Power Plant')
+%legend ('y measured', 'y simulated', 'location', 'southeast')
+
+
Added: trunk/octave-forge/extra/control-devel/devel/MLexp/powerplant.dat
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/MLexp/powerplant.dat (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/MLexp/powerplant.dat 2012-03-21 16:01:02 UTC (rev 9992)
@@ -0,0 +1,200 @@
+ 1.0000000e+00 -8.1100000e+02 -5.9200000e+02 4.2100000e+02 -6.8000000e+02 -6.8100000e+02 1.1700000e+02 1.2900000e+02 -4.7000000e+01 1.2005000e+02 1.2904000e+02 -4.8588000e+01
+ 2.0000000e+00 -8.1200000e+02 -6.1900000e+02 4.7700000e+02 -6.8500000e+02 -6.5100000e+02 1.1300000e+02 1.4100000e+02 -4.2000000e+01 1.0881000e+02 1.3890000e+02 -4.2329000e+01
+ 3.0000000e+00 -8.1700000e+02 -5.6500000e+02 5.3800000e+02 -6.7800000e+02 -6.7700000e+02 8.3000000e+01 1.5000000e+02 -3.7000000e+01 8.4903000e+01 1.5790000e+02 -2.9271000e+01
+ 4.0000000e+00 -6.9500000e+02 -7.2500000e+02 5.3600000e+02 -6.7400000e+02 -7.0200000e+02 1.4400000e+02 1.7400000e+02 -3.0000000e+00 1.4232000e+02 1.6939000e+02 -9.7179000e+00
+ 5.0000000e+00 -6.9700000e+02 -5.7100000e+02 5.3100000e+02 -6.7600000e+02 -6.8500000e+02 1.5600000e+02 1.9600000e+02 1.9000000e+01 1.6235000e+02 1.9724000e+02 4.0350000e+01
+ 6.0000000e+00 -6.9700000e+02 -6.1800000e+02 5.3300000e+02 -6.8100000e+02 -7.2100000e+02 1.7400000e+02 1.9200000e+02 6.0000000e+00 2.0722000e+02 2.1180000e+02 4.7120000e+01
+ 7.0000000e+00 -7.0200000e+02 -5.7900000e+02 5.4900000e+02 -6.7700000e+02 -6.9900000e+02 1.7100000e+02 1.9300000e+02 3.0000000e+00 2.2415000e+02 2.1638000e+02 4.6753000e+01
+ 8.0000000e+00 -7.0300000e+02 -4.8700000e+02 5.7500000e+02 -6.7700000e+02 -6.9400000e+02 1.6900000e+02 2.2400000e+02 1.4000000e+01 2.0604000e+02 2.0174000e+02 3.2968000e+01
+ 9.0000000e+00 -7.0500000e+02 -4.4900000e+02 5.6100000e+02 -6.7900000e+02 -6.7800000e+02 1.5500000e+02 2.1100000e+02 1.4000000e+01 1.7784000e+02 1.8128000e+02 1.4550000e+01
+ 1.0000000e+01 -7.0500000e+02 -4.3100000e+02 5.6300000e+02 -6.8000000e+02 -6.9200000e+02 1.3700000e+02 1.7500000e+02 4.0000000e+00 1.4376000e+02 1.5895000e+02 2.6711000e-01
+ 1.1000000e+01 -7.0700000e+02 -5.0200000e+02 5.6100000e+02 -6.7900000e+02 -6.8600000e+02 1.3000000e+02 1.6500000e+02 1.3000000e+01 1.3855000e+02 1.4555000e+02 -3.0633000e+00
+ 1.2000000e+01 -7.0700000e+02 -5.8300000e+02 5.3000000e+02 -6.7600000e+02 -7.5100000e+02 1.4500000e+02 1.7200000e+02 2.1000000e+01 1.5585000e+02 1.4866000e+02 6.6326000e+00
+ 1.3000000e+01 -7.1000000e+02 -4.5800000e+02 5.4000000e+02 -6.7700000e+02 -7.0000000e+02 1.2800000e+02 1.7300000e+02 3.0000000e+01 1.3007000e+02 1.5522000e+02 1.4064000e+01
+ 1.4000000e+01 -7.1300000e+02 -4.6900000e+02 5.4300000e+02 -6.7900000e+02 -7.3100000e+02 1.1900000e+02 1.9400000e+02 3.0000000e+01 1.1735000e+02 1.5489000e+02 3.8572000e-01
+ 1.5000000e+01 -7.1500000e+02 -5.0600000e+02 5.4900000e+02 -6.8400000e+02 -6.3500000e+02 1.2700000e+02 1.8800000e+02 1.1000000e+01 1.2012000e+02 1.5549000e+02 -1.5554000e+00
+ 1.6000000e+01 -7.1300000e+02 -5.9000000e+02 5.3200000e+02 -6.8100000e+02 -7.1500000e+02 1.4700000e+02 1.7600000e+02 5.0000000e+00 1.4543000e+02 1.5698000e+02 5.3190000e+00
+ 1.7000000e+01 -7.1400000e+02 -5.8200000e+02 5.2800000e+02 -6.7600000e+02 -6.9600000e+02 1.6200000e+02 1.8300000e+02 1.9000000e+01 1.6036000e+02 1.6442000e+02 1.6329000e+01
+ 1.8000000e+01 -7.1300000e+02 -5.7500000e+02 5.3800000e+02 -6.7900000e+02 -6.9000000e+02 1.7300000e+02 1.7800000e+02 1.4000000e+01 1.7382000e+02 1.6655000e+02 1.7543000e+01
+ 1.9000000e+01 -7.1600000e+02 -3.8200000e+02 5.5700000e+02 -6.8200000e+02 -7.0100000e+02 1.3100000e+02 1.6100000e+02 4.0000000e+00 1.1714000e+02 1.5813000e+02 6.0205000e+00
+ 2.0000000e+01 -7.1600000e+02 -4.7600000e+02 5.5800000e+02 -6.7900000e+02 -6.9000000e+02 1.1200000e+02 1.3900000e+02 -1.1000000e+01 1.0683000e+02 1.4319000e+02 -1.9620000e+01
+ 2.1000000e+01 -7.1800000e+02 -4.2500000e+02 5.6500000e+02 -6.7800000e+02 -6.8600000e+02 9.1000000e+01 1.3300000e+02 -1.0000000e+01 7.4164000e+01 1.3319000e+02 -1.8921000e+01
+ 2.2000000e+01 -7.1900000e+02 -4.0900000e+02 5.6200000e+02 -6.7900000e+02 -6.1500000e+02 7.5000000e+01 1.2700000e+02 -7.0000000e+00 5.1102000e+01 1.2405000e+02 -1.6557000e+01
+ 2.3000000e+01 -7.1900000e+02 -5.0800000e+02 5.2300000e+02 -6.7700000e+02 -7.3700000e+02 8.0000000e+01 1.1500000e+02 -1.0000000e+01 5.8537000e+01 1.2492000e+02 -1.1844000e+01
+ 2.4000000e+01 -7.2100000e+02 -5.6900000e+02 5.2300000e+02 -6.7900000e+02 -7.2200000e+02 8.7000000e+01 1.3200000e+02 6.0000000e+00 8.0766000e+01 1.3883000e+02 1.4671000e+00
+ 2.5000000e+01 -7.2300000e+02 -4.3400000e+02 5.4200000e+02 -6.8100000e+02 -7.3500000e+02 5.1000000e+01 1.5100000e+02 6.0000000e+00 5.6621000e+01 1.4836000e+02 7.3839000e+00
+ 2.6000000e+01 -7.2300000e+02 -3.9500000e+02 5.4400000e+02 -6.7600000e+02 -7.0400000e+02 2.8000000e+01 1.6700000e+02 3.0000000e+00 3.1969000e+01 1.5050000e+02 -7.9046000e+00
+ 2.7000000e+01 -7.2300000e+02 -4.2800000e+02 5.4200000e+02 -6.7700000e+02 -7.2900000e+02 2.2000000e+01 1.6700000e+02 -3.0000000e+00 1.9968000e+01 1.4996000e+02 -1.7541000e+01
+ 2.8000000e+01 -7.2200000e+02 -4.0200000e+02 5.3700000e+02 -6.7700000e+02 -7.0600000e+02 9.0000000e+00 1.7100000e+02 4.0000000e+00 1.4603000e+00 1.5197000e+02 -1.3722000e+01
+ 2.9000000e+01 -7.2500000e+02 -3.8000000e+02 5.3400000e+02 -6.8100000e+02 -6.9600000e+02 7.0000000e+00 1.5800000e+02 6.0000000e+00 -1.6409000e+01 1.5264000e+02 -8.9375000e+00
+ 3.0000000e+01 -7.2600000e+02 -3.2400000e+02 5.4900000e+02 -6.7600000e+02 -7.0100000e+02 -1.1000000e+01 1.5500000e+02 5.0000000e+00 -4.9227000e+01 1.4991000e+02 -7.2722000e+00
+ 3.1000000e+01 -7.2600000e+02 -2.1100000e+02 5.7800000e+02 -6.7500000e+02 -6.1400000e+02 -8.7000000e+01 1.4900000e+02 -8.0000000e+00 -1.0582000e+02 1.3858000e+02 -8.0209000e+00
+ 3.2000000e+01 -7.2700000e+02 -1.1300000e+02 5.6900000e+02 -6.7700000e+02 -7.3800000e+02 -1.5300000e+02 1.4600000e+02 -1.2000000e+01 -1.8840000e+02 1.2113000e+02 -1.8722000e+01
+ 3.3000000e+01 -7.2700000e+02 -2.0800000e+02 5.5400000e+02 -6.7600000e+02 -7.3700000e+02 -1.8400000e+02 1.1600000e+02 -2.0000000e+01 -2.2306000e+02 1.1633000e+02 -2.4934000e+01
+ 3.4000000e+01 -7.2700000e+02 -3.2000000e+02 5.2300000e+02 -6.8400000e+02 -6.9700000e+02 -1.6700000e+02 1.1800000e+02 8.0000000e+00 -2.0789000e+02 1.3293000e+02 1.2255000e+00
+ 3.5000000e+01 -7.2700000e+02 9.4400000e+02 6.0500000e+02 -6.8000000e+02 -5.8700000e+02 -5.6300000e+02 7.8000000e+01 -4.0000000e+00 -6.1117000e+02 1.0434000e+02 -6.9815000e+00
+ 3.6000000e+01 -7.2900000e+02 3.9600000e+02 6.5400000e+02 -6.8100000e+02 -7.0800000e+02 -6.9400000e+02 -3.0000000e+00 -1.5500000e+02 -7.1959000e+02 3.6752000e+01 -1.2319000e+02
+ 3.7000000e+01 -7.2900000e+02 7.5400000e+02 6.3700000e+02 -6.8200000e+02 -6.8500000e+02 -1.0000000e+03 -3.9000000e+01 -1.6800000e+02 -9.6523000e+02 1.6833000e+01 -8.9982000e+01
+ 3.8000000e+01 -7.2700000e+02 4.1900000e+02 5.2200000e+02 -6.7700000e+02 -7.1500000e+02 -1.1010000e+03 -2.8000000e+01 -1.3500000e+02 -1.0109000e+03 2.8100000e+01 -5.8790000e+01
+ 3.9000000e+01 -7.2900000e+02 3.7800000e+02 4.9400000e+02 -6.6800000e+02 -7.0300000e+02 -1.0800000e+03 5.5000000e+01 6.0000000e+00 -1.0331000e+03 9.0458000e+01 2.8316000e+01
+ 4.0000000e+01 -7.2800000e+02 3.6300000e+02 4.9300000e+02 -6.6900000e+02 -6.8200000e+02 -1.0750000e+03 1.6200000e+02 8.9000000e+01 -1.0240000e+03 1.5948000e+02 9.4399000e+01
+ 4.1000000e+01 -7.2900000e+02 3.9000000e+02 4.9600000e+02 -6.6500000e+02 -7.1300000e+02 -1.0350000e+03 2.5400000e+02 1.1700000e+02 -1.0168000e+03 2.1926000e+02 1.3600000e+02
+ 4.2000000e+01 -7.2900000e+02 1.0600000e+02 4.8300000e+02 -6.6400000e+02 -7.1100000e+02 -8.9400000e+02 3.2900000e+02 1.4800000e+02 -9.0916000e+02 2.7378000e+02 1.6876000e+02
+ 4.3000000e+01 -7.2900000e+02 3.2000000e+01 4.9500000e+02 -6.6100000e+02 -7.1800000e+02 -7.4700000e+02 4.0900000e+02 2.1800000e+02 -8.0200000e+02 3.2524000e+02 2.2238000e+02
+ 4.4000000e+01 -7.2900000e+02 5.1700000e+02 5.8500000e+02 -6.6100000e+02 -6.4100000e+02 -7.7400000e+02 4.1600000e+02 2.3100000e+02 -8.6839000e+02 3.3418000e+02 2.3713000e+02
+ 4.5000000e+01 -7.2900000e+02 4.5500000e+02 6.2500000e+02 -6.5900000e+02 -7.0300000e+02 -7.8100000e+02 3.6100000e+02 1.8900000e+02 -8.8999000e+02 3.0503000e+02 1.8916000e+02
+ 4.6000000e+01 -7.3000000e+02 5.2100000e+02 6.4900000e+02 -6.8700000e+02 -6.6900000e+02 -8.2500000e+02 2.8800000e+02 1.7100000e+02 -9.4402000e+02 2.7565000e+02 1.7922000e+02
+ 4.7000000e+01 -7.3000000e+02 5.4000000e+02 6.2700000e+02 -6.8900000e+02 -7.0500000e+02 -8.9700000e+02 2.2000000e+02 1.6600000e+02 -9.8936000e+02 2.5161000e+02 1.7993000e+02
+ 4.8000000e+01 -7.3100000e+02 5.1400000e+02 6.0500000e+02 -6.9400000e+02 -6.8200000e+02 -9.6000000e+02 1.7500000e+02 1.6900000e+02 -1.0131000e+03 2.4644000e+02 1.9192000e+02
+ 4.9000000e+01 -5.8500000e+02 5.2500000e+02 5.5800000e+02 -6.8500000e+02 -6.1100000e+02 -9.9400000e+02 1.5700000e+02 1.9600000e+02 -1.0038000e+03 2.6585000e+02 2.1745000e+02
+ 5.0000000e+01 -5.8600000e+02 5.3400000e+02 5.2000000e+02 -6.8000000e+02 -6.6800000e+02 -1.0090000e+03 2.0200000e+02 2.3700000e+02 -9.7003000e+02 3.1402000e+02 2.5659000e+02
+ 5.1000000e+01 -5.8600000e+02 5.3900000e+02 5.3100000e+02 -6.8100000e+02 -6.7900000e+02 -1.0030000e+03 2.6700000e+02 2.5800000e+02 -9.4131000e+02 3.5280000e+02 2.7275000e+02
+ 5.2000000e+01 -5.8500000e+02 5.1900000e+02 5.0700000e+02 -6.8200000e+02 -6.6300000e+02 -9.8100000e+02 3.2600000e+02 2.6700000e+02 -9.0902000e+02 3.7835000e+02 2.7966000e+02
+ 5.3000000e+01 -5.8800000e+02 5.1300000e+02 5.0500000e+02 -6.6700000e+02 -6.6800000e+02 -9.4700000e+02 3.6100000e+02 2.7600000e+02 -8.8285000e+02 3.9079000e+02 2.8383000e+02
+ 5.4000000e+01 -5.8700000e+02 5.0900000e+02 5.3900000e+02 -6.8000000e+02 -6.1600000e+02 -9.2100000e+02 3.6900000e+02 2.8000000e+02 -8.5936000e+02 3.9032000e+02 2.8703000e+02
+ 5.5000000e+01 -5.8700000e+02 5.1200000e+02 5.3500000e+02 -6.6800000e+02 -6.2800000e+02 -8.9400000e+02 3.6900000e+02 2.9200000e+02 -8.4246000e+02 3.8424000e+02 2.9083000e+02
+ 5.6000000e+01 -5.8800000e+02 5.1400000e+02 5.5700000e+02 -6.6700000e+02 -6.4800000e+02 -8.7600000e+02 3.5900000e+02 3.0200000e+02 -8.3393000e+02 3.7221000e+02 2.8925000e+02
+ 5.7000000e+01 -5.8800000e+02 5.5300000e+02 5.6300000e+02 -6.7600000e+02 -6.1300000e+02 -8.6900000e+02 3.5600000e+02 3.1800000e+02 -8.3935000e+02 3.5947000e+02 2.8772000e+02
+ 5.8000000e+01 -5.8900000e+02 5.1900000e+02 5.5900000e+02 -6.8400000e+02 -6.3800000e+02 -8.5700000e+02 3.3400000e+02 3.1600000e+02 -8.3367000e+02 3.4713000e+02 2.8208000e+02
+ 5.9000000e+01 -5.8900000e+02 5.2100000e+02 5.6300000e+02 -6.8200000e+02 -6.5200000e+02 -8.5700000e+02 3.3600000e+02 3.2000000e+02 -8.3490000e+02 3.3975000e+02 2.7946000e+02
+ 6.0000000e+01 -5.8800000e+02 5.1800000e+02 5.4700000e+02 -6.7800000e+02 -5.9700000e+02 -8.6800000e+02 3.3100000e+02 3.2300000e+02 -8.3062000e+02 3.3677000e+02 2.7900000e+02
+ 6.1000000e+01 -5.8900000e+02 5.5200000e+02 5.4900000e+02 -6.8800000e+02 -6.3000000e+02 -8.7300000e+02 3.1600000e+02 3.2400000e+02 -8.4191000e+02 3.3120000e+02 2.7515000e+02
+ 6.2000000e+01 -5.8900000e+02 5.2000000e+02 5.3500000e+02 -6.8500000e+02 -6.2300000e+02 -8.7000000e+02 3.0100000e+02 3.2600000e+02 -8.4191000e+02 3.2838000e+02 2.6793000e+02
+ 6.3000000e+01 -5.8900000e+02 5.4700000e+02 5.4200000e+02 -6.7800000e+02 -6.1900000e+02 -8.6700000e+02 2.9400000e+02 3.2300000e+02 -8.5321000e+02 3.2407000e+02 2.6509000e+02
+ 6.4000000e+01 -5.8900000e+02 5.4900000e+02 5.3100000e+02 -6.8400000e+02 -5.2400000e+02 -8.7800000e+02 2.9300000e+02 3.2200000e+02 -8.5616000e+02 3.2000000e+02 2.6569000e+02
+ 6.5000000e+01 -5.8800000e+02 5.4400000e+02 5.2200000e+02 -1.5400000e+03 -5.8000000e+02 -8.7700000e+02 3.0000000e+02 3.0900000e+02 -8.6846000e+02 3.0704000e+02 2.6482000e+02
+ 6.6000000e+01 -5.8800000e+02 5.6400000e+02 5.5500000e+02 -1.5380000e+03 -5.8400000e+02 -8.9100000e+02 3.1700000e+02 2.3300000e+02 -8.7941000e+02 2.9793000e+02 2.2034000e+02
+ 6.7000000e+01 -5.8800000e+02 6.8400000e+02 5.4500000e+02 -1.5410000e+03 -5.6400000e+02 -9.1900000e+02 3.0800000e+02 1.6000000e+02 -9.1962000e+02 2.8768000e+02 1.6952000e+02
+ 6.8000000e+01 -5.9000000e+02 5.5800000e+02 5.4600000e+02 -1.5410000e+03 -6.0900000e+02 -9.1900000e+02 2.9600000e+02 1.1100000e+02 -9.0978000e+02 2.8478000e+02 1.1979000e+02
+ 6.9000000e+01 -5.8900000e+02 5.5200000e+02 5.3700000e+02 -1.5500000e+03 -6.0100000e+02 -8.9800000e+02 3.0400000e+02 9.4000000e+01 -9.0698000e+02 2.9453000e+02 1.0100000e+02
+ 7.0000000e+01 -5.9100000e+02 5.3200000e+02 5.2600000e+02 -1.5480000e+03 -5.8000000e+02 -8.8400000e+02 3.3600000e+02 1.0100000e+02 -8.9147000e+02 3.0559000e+02 8.9680000e+01
+ 7.1000000e+01 -5.9000000e+02 5.4400000e+02 5.2400000e+02 -1.5420000e+03 -5.6500000e+02 -8.7600000e+02 3.4400000e+02 9.2000000e+01 -8.8099000e+02 3.1543000e+02 8.3914000e+01
+ 7.2000000e+01 -5.9100000e+02 5.5900000e+02 5.3500000e+02 -1.5380000e+03 -6.0400000e+02 -8.7700000e+02 3.4700000e+02 7.7000000e+01 -8.7943000e+02 3.1895000e+02 7.5480000e+01
+ 7.3000000e+01 -5.9200000e+02 5.5500000e+02 5.4200000e+02 -1.5480000e+03 -6.2900000e+02 -8.5900000e+02 3.5400000e+02 7.9000000e+01 -8.7841000e+02 3.2047000e+02 6.7468000e+01
+ 7.4000000e+01 -5.9100000e+02 5.7700000e+02 5.3200000e+02 -1.5490000e+03 -5.8700000e+02 -8.5200000e+02 3.6800000e+02 8.4000000e+01 -8.8010000e+02 3.2358000e+02 6.6088000e+01
+ 7.5000000e+01 -5.9300000e+02 5.8100000e+02 5.3000000e+02 -1.5430000e+03 -5.8500000e+02 -8.5200000e+02 3.6200000e+02 7.9000000e+01 -8.7973000e+02 3.2499000e+02 6.5807000e+01
+ 7.6000000e+01 -5.9200000e+02 5.6200000e+02 5.4000000e+02 -1.5480000e+03 -5.8300000e+02 -8.4600000e+02 3.3700000e+02 6.7000000e+01 -8.7364000e+02 3.2570000e+02 6.7897000e+01
+ 7.7000000e+01 -5.9100000e+02 5.6800000e+02 5.4600000e+02 -1.5360000e+03 -5.8700000e+02 -8.4600000e+02 3.2200000e+02 7.1000000e+01 -8.7024000e+02 3.2613000e+02 7.3199000e+01
+ 7.8000000e+01 -5.9300000e+02 5.5000000e+02 5.5700000e+02 -1.5330000e+03 -5.6900000e+02 -8.3600000e+02 3.2500000e+02 8.2000000e+01 -8.5869000e+02 3.2549000e+02 7.8471000e+01
+ 7.9000000e+01 -5.9200000e+02 5.5000000e+02 5.3700000e+02 -1.5180000e+03 -5.2700000e+02 -8.3100000e+02 3.3000000e+02 8.1000000e+01 -8.4644000e+02 3.2705000e+02 8.8017000e+01
+ 8.0000000e+01 -5.9300000e+02 5.6800000e+02 5.5100000e+02 -1.5330000e+03 -5.8200000e+02 -8.4800000e+02 3.3200000e+02 8.4000000e+01 -8.4761000e+02 3.2203000e+02 8.9614000e+01
+ 8.1000000e+01 -5.9000000e+02 5.2800000e+02 5.4000000e+02 -1.5290000e+03 -4.9200000e+02 -8.3400000e+02 3.3400000e+02 8.9000000e+01 -8.3049000e+02 3.2009000e+02 9.2469000e+01
+ 8.2000000e+01 -5.9000000e+02 5.4200000e+02 5.3200000e+02 -1.5250000e+03 -5.8500000e+02 -8.3000000e+02 3.1400000e+02 8.7000000e+01 -8.2846000e+02 3.1553000e+02 9.4985000e+01
+ 8.3000000e+01 -5.9000000e+02 5.5600000e+02 5.3500000e+02 -1.5220000e+03 -6.0600000e+02 -8.3800000e+02 3.2200000e+02 9.3000000e+01 -8.3581000e+02 3.1346000e+02 8.7866000e+01
+ 8.4000000e+01 -5.9100000e+02 6.3700000e+02 5.3500000e+02 -1.5160000e+03 -5.7100000e+02 -8.5900000e+02 3.1300000e+02 7.3000000e+01 -8.6579000e+02 3.0933000e+02 7.8707000e+01
+ 8.5000000e+01 -5.9100000e+02 6.0800000e+02 5.3900000e+02 -1.5120000e+03 -5.8200000e+02 -8.6400000e+02 3.1700000e+02 5.9000000e+01 -8.7875000e+02 3.0332000e+02 6.6118000e+01
+ 8.6000000e+01 -5.9100000e+02 5.4500000e+02 5.2700000e+02 -1.5100000e+03 -5.7700000e+02 -8.5200000e+02 3.1800000e+02 4.8000000e+01 -8.7088000e+02 3.0568000e+02 6.8631000e+01
+ 8.7000000e+01 -5.9100000e+02 6.0300000e+02 5.3400000e+02 -1.5070000e+03 -5.4800000e+02 -8.5000000e+02 3.1300000e+02 5.9000000e+01 -8.8223000e+02 3.0798000e+02 7.8352000e+01
+ 8.8000000e+01 -5.9200000e+02 5.6700000e+02 5.2100000e+02 -1.5070000e+03 -5.3900000e+02 -8.5800000e+02 3.2700000e+02 6.5000000e+01 -8.7468000e+02 3.0969000e+02 8.1284000e+01
+ 8.9000000e+01 -5.9400000e+02 5.6000000e+02 5.3000000e+02 -1.5030000e+03 -5.8300000e+02 -8.4900000e+02 3.3200000e+02 8.2000000e+01 -8.7303000e+02 3.1031000e+02 8.4548000e+01
+ 9.0000000e+01 -4.2200000e+02 5.4900000e+02 5.3400000e+02 -1.4870000e+03 -5.4200000e+02 -8.2200000e+02 3.3200000e+02 7.7000000e+01 -8.3729000e+02 3.2221000e+02 9.0986000e+01
+ 9.1000000e+01 5.0000000e+00 6.1900000e+02 5.5000000e+02 -1.4880000e+03 -6.0900000e+02 -7.2100000e+02 3.7700000e+02 1.2100000e+02 -7.2904000e+02 3.8596000e+02 1.2442000e+02
+ 9.2000000e+01 5.0000000e+00 5.7200000e+02 5.4100000e+02 -1.4870000e+03 -5.4500000e+02 -5.1700000e+02 4.9200000e+02 1.9300000e+02 -5.2249000e+02 5.2045000e+02 2.0006000e+02
+ 9.3000000e+01 1.8500000e+02 5.6400000e+02 5.2900000e+02 -1.4880000e+03 -5.2800000e+02 -3.0600000e+02 5.9600000e+02 2.2600000e+02 -3.0673000e+02 6.2942000e+02 2.3608000e+02
+ 9.4000000e+01 1.8500000e+02 5.7100000e+02 5.3100000e+02 -1.4970000e+03 -5.1200000e+02 -1.1700000e+02 6.8300000e+02 2.4400000e+02 -1.0361000e+02 7.1070000e+02 2.5796000e+02
+ 9.5000000e+01 1.8700000e+02 5.9000000e+02 5.4500000e+02 -1.4890000e+03 -4.7200000e+02 2.2000000e+01 7.1600000e+02 2.1200000e+02 5.3402000e+01 7.3594000e+02 2.4863000e+02
+ 9.6000000e+01 1.8600000e+02 6.5800000e+02 5.4400000e+02 -1.4850000e+03 -5.0100000e+02 8.7000000e+01 6.8400000e+02 1.5700000e+02 1.4233000e+02 7.1445000e+02 2.1881000e+02
+ 9.7000000e+01 1.8500000e+02 6.3900000e+02 5.5300000e+02 -1.4860000e+03 -5.1200000e+02 1.5100000e+02 6.4200000e+02 1.2900000e+02 2.0601000e+02 6.6828000e+02 1.7985000e+02
+ 9.8000000e+01 1.8700000e+02 6.0400000e+02 5.3200000e+02 -1.4860000e+03 -4.9000000e+02 1.9800000e+02 5.9900000e+02 1.0500000e+02 2.5802000e+02 6.2297000e+02 1.5470000e+02
+ 9.9000000e+01 1.8600000e+02 5.8400000e+02 5.3500000e+02 -1.4860000e+03 -5.0500000e+02 2.3300000e+02 5.4900000e+02 9.3000000e+01 2.9648000e+02 5.8250000e+02 1.3539000e+02
+ 1.0000000e+02 1.8700000e+02 5.7200000e+02 5.4100000e+02 -1.4880000e+03 -4.7900000e+02 2.4400000e+02 5.1200000e+02 8.3000000e+01 3.2549000e+02 5.4968000e+02 1.1719000e+02
+ 1.0100000e+02 1.8600000e+02 5.7000000e+02 5.3100000e+02 -1.4860000e+03 -4.7700000e+02 2.5500000e+02 4.8700000e+02 7.0000000e+01 3.4362000e+02 5.2214000e+02 9.8206000e+01
+ 1.0200000e+02 1.8700000e+02 5.7900000e+02 5.3900000e+02 -1.4880000e+03 -4.8200000e+02 2.4700000e+02 4.5300000e+02 4.9000000e+01 3.4767000e+02 4.9574000e+02 7.5141000e+01
+ 1.0300000e+02 1.8700000e+02 6.9400000e+02 5.3700000e+02 -1.4870000e+03 -5.1200000e+02 2.2500000e+02 4.3700000e+02 3.2000000e+01 3.0455000e+02 4.6885000e+02 4.6410000e+01
+ 1.0400000e+02 1.8700000e+02 7.2700000e+02 5.4600000e+02 -1.4940000e+03 -4.7400000e+02 1.7500000e+02 4.1000000e+02 4.0000000e+00 2.5913000e+02 4.3960000e+02 1.0081000e+01
+ 1.0500000e+02 1.8600000e+02 8.3800000e+02 5.4500000e+02 -1.4930000e+03 -4.7000000e+02 1.0500000e+02 3.8600000e+02 -1.2000000e+01 1.8142000e+02 4.1156000e+02 -1.6888000e+01
+ 1.0600000e+02 1.8600000e+02 7.0300000e+02 5.2700000e+02 -1.4920000e+03 -5.1000000e+02 8.6000000e+01 3.7900000e+02 -3.5000000e+01 1.6174000e+02 3.9385000e+02 -3.8281000e+01
+ 1.0700000e+02 1.8500000e+02 6.3400000e+02 5.0200000e+02 -1.4900000e+03 -4.8600000e+02 1.0100000e+02 3.8200000e+02 -1.6000000e+01 1.6494000e+02 3.9846000e+02 -2.7035000e+01
+ 1.0800000e+02 1.8500000e+02 6.5900000e+02 5.0200000e+02 -1.4900000e+03 -4.4600000e+02 1.1100000e+02 4.1200000e+02 3.0000000e+00 1.6546000e+02 4.0805000e+02 -1.2917000e+01
+ 1.0900000e+02 1.8500000e+02 5.6900000e+02 4.8300000e+02 -1.4880000e+03 -4.7200000e+02 1.5800000e+02 4.5100000e+02 3.1000000e+01 1.9732000e+02 4.2065000e+02 -8.5192000e+00
+ 1.1000000e+02 1.8400000e+02 5.5200000e+02 4.9400000e+02 -1.4870000e+03 -4.6800000e+02 2.1700000e+02 4.8600000e+02 3.7000000e+01 2.2300000e+02 4.3131000e+02 -2.7869000e+00
+ 1.1100000e+02 1.8300000e+02 5.4100000e+02 4.9200000e+02 -1.4870000e+03 -4.1100000e+02 2.5900000e+02 5.0400000e+02 2.9000000e+01 2.5116000e+02 4.3577000e+02 -6.0594000e-01
+ 1.1200000e+02 1.8400000e+02 5.4400000e+02 5.1900000e+02 -1.4860000e+03 -4.7100000e+02 3.0100000e+02 5.0300000e+02 2.4000000e+01 2.6614000e+02 4.2886000e+02 -7.9360000e+00
+ 1.1300000e+02 1.8400000e+02 5.7700000e+02 5.3800000e+02 -1.4870000e+03 -4.2000000e+02 3.1700000e+02 4.9500000e+02 7.0000000e+00 2.6639000e+02 4.1730000e+02 -1.8176000e+01
+ 1.1400000e+02 1.8300000e+02 5.3600000e+02 5.4600000e+02 -1.4900000e+03 -4.5500000e+02 3.5400000e+02 4.7200000e+02 -3.0000000e+00 2.7792000e+02 4.0135000e+02 -3.0467000e+01
+ 1.1500000e+02 1.8300000e+02 5.8600000e+02 5.6700000e+02 -1.4870000e+03 -4.2100000e+02 3.6100000e+02 4.4100000e+02 -8.0000000e+00 2.6722000e+02 3.8643000e+02 -3.7483000e+01
+ 1.1600000e+02 1.8300000e+02 5.5400000e+02 5.6600000e+02 -1.4850000e+03 -4.4900000e+02 3.6800000e+02 4.1300000e+02 -3.2000000e+01 2.6926000e+02 3.7190000e+02 -4.8684000e+01
+ 1.1700000e+02 1.8300000e+02 5.6400000e+02 5.5800000e+02 -1.4860000e+03 -4.5500000e+02 3.6200000e+02 3.8100000e+02 -3.4000000e+01 2.6287000e+02 3.6434000e+02 -5.4379000e+01
+ 1.1800000e+02 1.8200000e+02 5.5800000e+02 5.4600000e+02 -1.4860000e+03 -4.2600000e+02 3.5400000e+02 3.7000000e+02 -4.2000000e+01 2.6174000e+02 3.6010000e+02 -5.9689000e+01
+ 1.1900000e+02 1.8300000e+02 6.5900000e+02 5.4300000e+02 -1.4860000e+03 -3.9800000e+02 3.1000000e+02 3.6000000e+02 -3.6000000e+01 2.2701000e+02 3.5303000e+02 -6.5843000e+01
+ 1.2000000e+02 1.8200000e+02 5.4500000e+02 5.3100000e+02 -1.4870000e+03 -4.2500000e+02 3.1800000e+02 3.6900000e+02 -3.6000000e+01 2.3616000e+02 3.4604000e+02 -7.7839000e+01
+ 1.2100000e+02 1.8200000e+02 5.4200000e+02 5.1300000e+02 -1.4870000e+03 -2.9700000e+02 3.1300000e+02 3.7200000e+02 -3.6000000e+01 2.4511000e+02 3.4670000e+02 -6.4510000e+01
+ 1.2200000e+02 1.8100000e+02 5.4900000e+02 5.0200000e+02 -1.4860000e+03 -4.0700000e+02 2.9800000e+02 3.7700000e+02 -2.8000000e+01 2.4424000e+02 3.4101000e+02 -6.1099000e+01
+ 1.2300000e+02 1.8000000e+02 5.5800000e+02 9.6300000e+02 -1.4870000e+03 -3.9100000e+02 3.1100000e+02 3.4100000e+02 -3.4000000e+01 2.3478000e+02 2.8119000e+02 -8.9875000e+01
+ 1.2400000e+02 1.8200000e+02 5.4600000e+02 1.1050000e+03 -1.4870000e+03 -3.8800000e+02 3.3900000e+02 2.9200000e+02 -3.3000000e+01 2.4633000e+02 2.2655000e+02 -9.5657000e+01
+ 1.2500000e+02 1.7900000e+02 5.4000000e+02 1.1660000e+03 -1.4870000e+03 -3.8700000e+02 3.6200000e+02 2.2300000e+02 -5.2000000e+01 2.6724000e+02 1.7790000e+02 -9.9019000e+01
+ 1.2600000e+02 1.8100000e+02 5.1900000e+02 1.2210000e+03 -1.4870000e+03 -3.9000000e+02 3.8000000e+02 1.6100000e+02 -7.3000000e+01 2.9541000e+02 1.4264000e+02 -1.0449000e+02
+ 1.2700000e+02 1.7900000e+02 5.1000000e+02 1.2540000e+03 -1.4860000e+03 -3.8200000e+02 3.9700000e+02 1.1300000e+02 -9.0000000e+01 3.2181000e+02 1.1830000e+02 -1.1343000e+02
+ 1.2800000e+02 1.7600000e+02 5.2800000e+02 1.2890000e+03 -1.4870000e+03 -3.7900000e+02 4.0200000e+02 6.4000000e+01 -1.1700000e+02 3.3516000e+02 9.5063000e+01 -1.2924000e+02
+ 1.2900000e+02 1.7800000e+02 5.1000000e+02 1.3100000e+03 -1.4860000e+03 -3.8900000e+02 3.9800000e+02 3.0000000e+01 -1.3600000e+02 3.4895000e+02 7.2730000e+01 -1.5002000e+02
+ 1.3000000e+02 1.7800000e+02 5.0400000e+02 1.3130000e+03 -1.4840000e+03 -3.5700000e+02 3.9600000e+02 1.2000000e+01 -1.4800000e+02 3.6050000e+02 5.4633000e+01 -1.6540000e+02
+ 1.3100000e+02 1.7800000e+02 5.0700000e+02 1.3280000e+03 -1.4840000e+03 -3.8300000e+02 3.9000000e+02 -2.2000000e+01 -1.8900000e+02 3.6438000e+02 3.5910000e+01 -1.8175000e+02
+ 1.3200000e+02 1.7800000e+02 5.1900000e+02 1.3330000e+03 -1.4890000e+03 -4.2600000e+02 3.7700000e+02 -4.7000000e+01 -2.1100000e+02 3.5706000e+02 2.0586000e+01 -2.0088000e+02
+ 1.3300000e+02 1.8300000e+02 5.0900000e+02 1.3170000e+03 -1.4830000e+03 -3.7700000e+02 3.6600000e+02 -5.4000000e+01 -2.2700000e+02 3.5720000e+02 1.1883000e+01 -2.1619000e+02
+ 1.3400000e+02 1.7700000e+02 5.8500000e+02 1.3310000e+03 -1.4830000e+03 -3.5200000e+02 3.3100000e+02 -5.2000000e+01 -2.4000000e+02 3.3189000e+02 2.1037000e-01 -2.2803000e+02
+ 1.3500000e+02 1.7600000e+02 7.6500000e+02 1.3340000e+03 -1.4840000e+03 -3.7500000e+02 2.2700000e+02 -7.4000000e+01 -2.8900000e+02 2.4736000e+02 -2.0930000e+01 -2.5263000e+02
+ 1.3600000e+02 1.9600000e+02 6.8900000e+02 1.3280000e+03 -1.4840000e+03 -3.8100000e+02 1.6800000e+02 -1.1700000e+02 -3.5500000e+02 2.0816000e+02 -4.1729000e+01 -2.8200000e+02
+ 1.3700000e+02 1.7800000e+02 5.7000000e+02 1.3060000e+03 -1.4860000e+03 -3.9800000e+02 1.4900000e+02 -1.0400000e+02 -3.5700000e+02 2.1199000e+02 -4.0768000e+01 -2.7427000e+02
+ 1.3800000e+02 1.7600000e+02 9.9700000e+02 1.3380000e+03 -1.4830000e+03 -3.6000000e+02 1.0000000e+01 -1.0100000e+02 -3.4400000e+02 7.1400000e+01 -4.9590000e+01 -2.7042000e+02
+ 1.3900000e+02 1.7600000e+02 8.3900000e+02 1.3180000e+03 -1.4870000e+03 -3.6600000e+02 -7.7000000e+01 -1.1500000e+02 -3.7400000e+02 2.8047000e+01 -6.5137000e+01 -3.0496000e+02
+ 1.4000000e+02 1.7600000e+02 8.7900000e+02 1.3240000e+03 -9.0000000e+01 -3.9400000e+02 -1.1600000e+02 -8.8000000e+01 -3.3000000e+02 -2.4797000e+01 -5.7719000e+01 -2.9579000e+02
+ 1.4100000e+02 1.7500000e+02 7.6300000e+02 1.3020000e+03 -9.2000000e+01 -4.3600000e+02 -1.0600000e+02 -5.3000000e+01 -2.2300000e+02 -3.8838000e+01 -4.8734000e+01 -2.1711000e+02
+ 1.4200000e+02 1.7500000e+02 7.3900000e+02 1.3070000e+03 -9.2000000e+01 -4.3000000e+02 -8.2000000e+01 -4.0000000e+00 -9.8000000e+01 -4.8961000e+01 -2.6414000e+01 -1.1805000e+02
+ 1.4300000e+02 1.7600000e+02 7.9100000e+02 1.3360000e+03 -8.6000000e+01 -4.4600000e+02 -9.9000000e+01 5.0000000e+00 -4.0000000e+01 -6.7477000e+01 -1.6152000e+01 -4.5201000e+01
+ 1.4400000e+02 1.7500000e+02 7.7400000e+02 1.3010000e+03 -9.1000000e+01 -4.0500000e+02 -8.9000000e+01 2.2000000e+01 3.0000000e+00 -6.5975000e+01 -1.7671000e+00 7.8503000e+00
+ 1.4500000e+02 1.7400000e+02 7.8200000e+02 1.3040000e+03 -9.1000000e+01 -4.1400000e+02 -7.9000000e+01 3.4000000e+01 2.6000000e+01 -6.8772000e+01 7.0271000e+00 4.3450000e+01
+ 1.4600000e+02 1.8900000e+02 7.2200000e+02 1.3350000e+03 -9.2000000e+01 -3.6000000e+02 -7.4000000e+01 3.4000000e+01 4.2000000e+01 -4.6429000e+01 1.1105000e+01 6.8121000e+01
+ 1.4700000e+02 1.7300000e+02 8.7100000e+02 1.3410000e+03 -9.1000000e+01 -4.1700000e+02 -1.0100000e+02 2.8000000e+01 6.1000000e+01 -8.4487000e+01 8.1047000e+00 8.5300000e+01
+ 1.4800000e+02 1.7300000e+02 8.2500000e+02 1.3370000e+03 -8.6000000e+01 -3.8300000e+02 -1.0200000e+02 2.8000000e+01 7.3000000e+01 -9.8173000e+01 -3.6908000e+00 7.6166000e+01
+ 1.4900000e+02 1.9300000e+02 8.3600000e+02 1.3320000e+03 -8.6000000e+01 -4.4900000e+02 -1.2400000e+02 2.2000000e+01 7.4000000e+01 -1.2005000e+02 -1.1467000e+01 7.6462000e+01
+ 1.5000000e+02 1.7400000e+02 8.3200000e+02 1.3250000e+03 -8.7000000e+01 -4.3200000e+02 -1.2500000e+02 1.9000000e+01 9.0000000e+01 -1.3460000e+02 -9.7526000e+00 7.9281000e+01
+ 1.5100000e+02 1.7500000e+02 8.3400000e+02 1.3260000e+03 -8.8000000e+01 -3.8300000e+02 -1.3200000e+02 9.0000000e+00 1.0000000e+02 -1.4502000e+02 -9.1438000e+00 8.1874000e+01
+ 1.5200000e+02 1.7600000e+02 8.9900000e+02 1.3320000e+03 -8.6000000e+01 -3.4100000e+02 -1.6700000e+02 8.0000000e+00 1.0200000e+02 -1.7275000e+02 -1.2691000e+01 8.4682000e+01
+ 1.5300000e+02 1.9500000e+02 8.2700000e+02 1.2960000e+03 -8.4000000e+01 -3.7100000e+02 -1.6100000e+02 7.0000000e+00 9.0000000e+01 -1.6926000e+02 -1.3264000e+01 8.5342000e+01
+ 1.5400000e+02 1.7400000e+02 8.9700000e+02 1.3110000e+03 -8.6000000e+01 -3.6600000e+02 -1.8500000e+02 1.9000000e+01 1.0500000e+02 -1.9553000e+02 -1.3720000e+01 9.3662000e+01
+ 1.5500000e+02 1.9500000e+02 8.4800000e+02 1.3200000e+03 -8.6000000e+01 -4.1600000e+02 -2.0700000e+02 2.9000000e+01 1.1000000e+02 -1.9946000e+02 -1.8479000e+01 8.7466000e+01
+ 1.5600000e+02 1.9200000e+02 7.7700000e+02 1.2860000e+03 -8.3000000e+01 1.2600000e+02 -2.9500000e+02 2.4000000e+01 1.5900000e+02 -1.4262000e+02 -1.2136000e+01 1.2313000e+02
+ 1.5700000e+02 1.7100000e+02 7.8800000e+02 1.3090000e+03 -8.4000000e+01 1.5300000e+02 -3.6100000e+02 1.7000000e+01 2.9300000e+02 -1.0476000e+02 -4.2073000e+01 1.6220000e+02
+ 1.5800000e+02 1.7100000e+02 8.1000000e+02 1.3070000e+03 -8.4000000e+01 1.7300000e+02 -4.1100000e+02 1.2000000e+01 4.3600000e+02 -1.0741000e+02 -9.5394000e+01 1.7308000e+02
+ 1.5900000e+02 1.7400000e+02 7.5800000e+02 1.2970000e+03 -8.5000000e+01 1.8200000e+02 -4.0100000e+02 4.8000000e+01 5.4000000e+02 -1.0825000e+02 -1.6499000e+02 1.6789000e+02
+ 1.6000000e+02 1.8800000e+02 9.1000000e+02 1.3290000e+03 -1.0360000e+03 2.3600000e+02 -4.4100000e+02 8.6000000e+01 6.0100000e+02 -1.7774000e+02 -2.4514000e+02 1.5380000e+02
+ 1.6100000e+02 1.8900000e+02 9.4400000e+02 1.3440000e+03 -1.6690000e+03 2.4500000e+02 -4.7500000e+02 1.1800000e+02 5.5300000e+02 -2.4260000e+02 -3.2187000e+02 7.0373000e+01
+ 1.6200000e+02 1.9600000e+02 8.5900000e+02 1.3300000e+03 -1.6680000e+03 2.4900000e+02 -4.4800000e+02 1.4600000e+02 4.7200000e+02 -2.6573000e+02 -3.7763000e+02 -4.3409000e+01
+ 1.6300000e+02 1.9000000e+02 7.9700000e+02 1.3200000e+03 -1.6690000e+03 2.3100000e+02 -4.0100000e+02 1.7200000e+02 4.2800000e+02 -2.7365000e+02 -4.0826000e+02 -1.3692000e+02
+ 1.6400000e+02 1.9100000e+02 7.8400000e+02 1.3410000e+03 -1.6650000e+03 2.4800000e+02 -3.6600000e+02 1.9700000e+02 4.0000000e+02 -2.8471000e+02 -4.2695000e+02 -2.1685000e+02
+ 1.6500000e+02 1.8400000e+02 7.3700000e+02 1.3350000e+03 -1.6560000e+03 2.4000000e+02 -3.0400000e+02 2.3100000e+02 3.9100000e+02 -2.8533000e+02 -4.4063000e+02 -2.8394000e+02
+ 1.6600000e+02 1.8200000e+02 7.3300000e+02 1.3420000e+03 -1.6550000e+03 2.4500000e+02 -2.5200000e+02 2.5300000e+02 3.8700000e+02 -2.9337000e+02 -4.5478000e+02 -3.3608000e+02
+ 1.6700000e+02 1.8200000e+02 6.9600000e+02 1.3500000e+03 -1.6530000e+03 2.5300000e+02 -1.8300000e+02 2.6100000e+02 3.9900000e+02 -2.9063000e+02 -4.6898000e+02 -3.7665000e+02
+ 1.6800000e+02 1.8500000e+02 6.1400000e+02 1.3410000e+03 -1.6580000e+03 2.3600000e+02 -1.2300000e+02 2.5500000e+02 4.0500000e+02 -2.6515000e+02 -4.7623000e+02 -4.0169000e+02
+ 1.6900000e+02 1.8800000e+02 7.0800000e+02 1.3700000e+03 -1.6540000e+03 2.3800000e+02 -1.0700000e+02 2.4700000e+02 3.9700000e+02 -2.7894000e+02 -4.8478000e+02 -4.2040000e+02
+ 1.7000000e+02 1.9100000e+02 7.2900000e+02 1.3660000e+03 -1.6550000e+03 2.3700000e+02 -7.6000000e+01 2.2800000e+02 3.9200000e+02 -2.9231000e+02 -4.9574000e+02 -4.4865000e+02
+ 1.7100000e+02 1.8300000e+02 7.1400000e+02 1.3800000e+03 -1.6510000e+03 2.6200000e+02 -7.1000000e+01 2.0500000e+02 3.8900000e+02 -3.0028000e+02 -5.0779000e+02 -4.6987000e+02
+ 1.7200000e+02 1.8600000e+02 6.9500000e+02 1.3780000e+03 -1.6510000e+03 2.5700000e+02 -6.6000000e+01 1.9200000e+02 3.8100000e+02 -3.0339000e+02 -5.1827000e+02 -4.8047000e+02
+ 1.7300000e+02 1.8900000e+02 7.5800000e+02 1.3870000e+03 -1.6490000e+03 2.7600000e+02 -9.2000000e+01 1.7100000e+02 3.7100000e+02 -3.2633000e+02 -5.2843000e+02 -4.8664000e+02
+ 1.7400000e+02 1.6400000e+02 5.7200000e+02 1.3640000e+03 -1.6490000e+03 2.5700000e+02 -4.0000000e+01 1.7800000e+02 3.5600000e+02 -2.8437000e+02 -5.3105000e+02 -4.9061000e+02
+ 1.7500000e+02 1.6300000e+02 5.8700000e+02 1.3430000e+03 -1.6500000e+03 2.4600000e+02 -1.5000000e+01 1.8500000e+02 3.5300000e+02 -2.6933000e+02 -5.2618000e+02 -4.7915000e+02
+ 1.7600000e+02 1.6100000e+02 6.8300000e+02 1.3530000e+03 -1.6580000e+03 2.6100000e+02 -2.7000000e+01 1.7000000e+02 3.5900000e+02 -2.8677000e+02 -5.2909000e+02 -4.8587000e+02
+ 1.7700000e+02 1.6000000e+02 5.7200000e+02 1.3590000e+03 -1.6540000e+03 2.6100000e+02 1.5000000e+01 1.7300000e+02 3.5100000e+02 -2.6299000e+02 -5.3393000e+02 -5.0195000e+02
+ 1.7800000e+02 1.6000000e+02 6.0700000e+02 1.3550000e+03 -1.6510000e+03 2.6700000e+02 2.3000000e+01 1.7500000e+02 3.5600000e+02 -2.6303000e+02 -5.3557000e+02 -5.0135000e+02
+ 1.7900000e+02 1.5800000e+02 5.8000000e+02 1.3490000e+03 -1.6550000e+03 2.7300000e+02 4.4000000e+01 1.7800000e+02 3.3800000e+02 -2.5204000e+02 -5.3960000e+02 -5.0662000e+02
+ 1.8000000e+02 1.6100000e+02 6.3100000e+02 1.3620000e+03 -1.6520000e+03 2.7200000e+02 4.7000000e+01 1.7100000e+02 3.2300000e+02 -2.6356000e+02 -5.4610000e+02 -5.1190000e+02
+ 1.8100000e+02 1.6000000e+02 7.0600000e+02 1.3820000e+03 -1.6570000e+03 2.9800000e+02 4.0000000e+00 1.5300000e+02 2.9400000e+02 -2.9576000e+02 -5.5968000e+02 -5.2427000e+02
+ 1.8200000e+02 1.6100000e+02 6.0100000e+02 1.3560000e+03 -1.6540000e+03 2.7700000e+02 2.3000000e+01 1.4100000e+02 2.9500000e+02 -2.8718000e+02 -5.6851000e+02 -5.3400000e+02
+ 1.8300000e+02 1.5900000e+02 5.7000000e+02 1.3540000e+03 -1.6530000e+03 2.7400000e+02 3.9000000e+01 1.4100000e+02 3.0600000e+02 -2.7639000e+02 -5.6855000e+02 -5.2629000e+02
+ 1.8400000e+02 1.5800000e+02 5.4700000e+02 1.3470000e+03 -1.6570000e+03 2.6100000e+02 5.2000000e+01 1.3900000e+02 3.1300000e+02 -2.5927000e+02 -5.6399000e+02 -5.2010000e+02
+ 1.8500000e+02 1.5800000e+02 5.8200000e+02 1.3320000e+03 -1.6570000e+03 2.5700000e+02 5.3000000e+01 1.4200000e+02 3.1300000e+02 -2.5785000e+02 -5.5747000e+02 -5.2015000e+02
+ 1.8600000e+02 1.5700000e+02 5.7000000e+02 1.3400000e+03 -1.6570000e+03 2.6700000e+02 6.9000000e+01 1.4200000e+02 3.1200000e+02 -2.5199000e+02 -5.5578000e+02 -5.2904000e+02
+ 1.8700000e+02 1.5400000e+02 5.5600000e+02 1.3430000e+03 -1.6570000e+03 2.6800000e+02 7.4000000e+01 1.3600000e+02 3.0600000e+02 -2.4545000e+02 -5.5582000e+02 -5.3401000e+02
+ 1.8800000e+02 1.5700000e+02 5.3700000e+02 1.3450000e+03 -1.6570000e+03 -4.2500000e+02 1.9600000e+02 1.6400000e+02 2.7700000e+02 -2.8011000e+02 -5.4967000e+02 -5.7073000e+02
+ 1.8900000e+02 1.5800000e+02 5.5500000e+02 1.3310000e+03 -1.6530000e+03 -5.8100000e+02 3.4700000e+02 2.0800000e+02 1.3300000e+02 -3.1995000e+02 -4.9697000e+02 -6.1617000e+02
+ 1.9000000e+02 1.5800000e+02 5.5100000e+02 1.3150000e+03 -1.6540000e+03 -6.4300000e+02 4.6100000e+02 2.3000000e+02 -5.8000000e+01 -3.2126000e+02 -4.1269000e+02 -6.4590000e+02
+ 1.9100000e+02 1.5900000e+02 5.9000000e+02 1.3220000e+03 -1.6560000e+03 -6.8700000e+02 5.2600000e+02 2.0400000e+02 -2.5100000e+02 -3.1328000e+02 -3.0600000e+02 -6.5649000e+02
+ 1.9200000e+02 1.6000000e+02 5.6600000e+02 1.3150000e+03 -1.6570000e+03 -7.3700000e+02 5.8100000e+02 1.6100000e+02 -3.8500000e+02 -2.7765000e+02 -1.9647000e+02 -6.5015000e+02
+ 1.9300000e+02 1.6000000e+02 5.5300000e+02 1.3150000e+03 -1.6530000e+03 -7.6700000e+02 5.8800000e+02 1.1900000e+02 -4.5800000e+02 -2.2465000e+02 -9.2677000e+01 -6.1837000e+02
+ 1.9400000e+02 1.6100000e+02 6.4400000e+02 1.3270000e+03 -1.3960000e+03 -7.3100000e+02 5.4900000e+02 6.3000000e+01 -5.2800000e+02 -1.8456000e+02 -2.2277000e+00 -5.7001000e+02
+ 1.9500000e+02 1.5900000e+02 6.4000000e+02 1.3350000e+03 -5.7700000e+02 -6.3900000e+02 4.9700000e+02 5.0000000e+00 -5.5000000e+02 -1.1778000e+02 7.2004000e+01 -5.0293000e+02
+ 1.9600000e+02 1.6100000e+02 7.2600000e+02 1.3340000e+03 -5.7700000e+02 -7.3000000e+02 4.2000000e+02 -2.0000000e+01 -4.9800000e+02 -9.6611000e+01 1.2077000e+02 -3.9313000e+02
+ 1.9700000e+02 1.7500000e+02 7.2900000e+02 1.3100000e+03 -5.7300000e+02 -7.1100000e+02 3.2700000e+02 -4.9000000e+01 -4.6400000e+02 -6.9050000e+01 1.5983000e+02 -2.8852000e+02
+ 1.9800000e+02 1.7500000e+02 8.5400000e+02 1.3300000e+03 -5.7600000e+02 -6.9000000e+02 1.9800000e+02 -7.8000000e+01 -4.3800000e+02 -7.2970000e+01 1.8176000e+02 -1.9352000e+02
+ 1.9900000e+02 1.6100000e+02 7.2900000e+02 1.3130000e+03 -5.7300000e+02 -6.3600000e+02 1.5400000e+02 -8.0000000e+01 -4.0900000e+02 -1.7599000e+01 2.0261000e+02 -1.1462000e+02
+ 2.0000000e+02 1.7600000e+02 7.0600000e+02 1.3140000e+03 -5.8300000e+02 -7.4500000e+02 1.3000000e+02 -6.0000000e+01 -3.7700000e+02 2.7441000e+01 2.2371000e+02 -4.0925000e+01
Added: trunk/octave-forge/extra/control-devel/devel/MLexp/pplant.mat
===================================================================
(Binary files differ)
Property changes on: trunk/octave-forge/extra/control-devel/devel/MLexp/pplant.mat
___________________________________________________________________
Added: svn:mime-type
+ application/octet-stream
Modified: trunk/octave-forge/extra/control-devel/devel/power_plant.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/power_plant.m 2012-03-21 15:14:14 UTC (rev 9991)
+++ trunk/octave-forge/extra/control-devel/devel/power_plant.m 2012-03-21 16:01:02 UTC (rev 9992)
@@ -47,9 +47,20 @@
Y=powerplant(:,6:8);
Yr=powerplant(:,9:11);
+inname = {'gas flow',
+ 'turbine valves opening',
+ 'super heater spray flow',
+ 'gas dampers',
+ 'air flow'};
-dat = iddata (Y, U)
+outname = {'steam pressure',
+ 'main steam temperature',
+ 'reheat steam temperature'};
+
+tsam = 1228.8;
+dat = iddata (Y, U, tsam, 'outname', outname, 'inname', inname)
+
[sys, x0] = ident (dat, 10, 8) % s=10, n=8
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-04-02 11:35:00
|
Revision: 10129
http://octave.svn.sourceforge.net/octave/?rev=10129&view=rev
Author: paramaniac
Date: 2012-04-02 11:34:53 +0000 (Mon, 02 Apr 2012)
Log Message:
-----------
control-devel: remove cruft
Removed Paths:
-------------
trunk/octave-forge/extra/control-devel/devel/test_ab09id.m
trunk/octave-forge/extra/control-devel/devel/test_ab09jd.m
trunk/octave-forge/extra/control-devel/devel/test_bstmodred.m
trunk/octave-forge/extra/control-devel/devel/test_sb16ad.m
trunk/octave-forge/extra/control-devel/devel/test_sb16bd.m
trunk/octave-forge/extra/control-devel/devel/test_sb16cd.m
Deleted: trunk/octave-forge/extra/control-devel/devel/test_ab09id.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/test_ab09id.m 2012-04-01 21:43:42 UTC (rev 10128)
+++ trunk/octave-forge/extra/control-devel/devel/test_ab09id.m 2012-04-02 11:34:53 UTC (rev 10129)
@@ -1,82 +0,0 @@
-% AB09ID EXAMPLE PROGRAM DATA (Continuous system)
-% 3 1 1 6 1 0 0 2 0.0 0.0 0.0 0.1E0 0.0 C S S F L S F
-
-% N, M, P, NV, PV, NW, MW, NR,
-% ALPHA, ALPHAC, ALPHAO, TOL1, TOL2,
-% DICO, JOBC, JOBO, JOB, WEIGHT,
-% EQUIL, ORDSEL
-
-
-a = [ -26.4000, 6.4023, 4.3868;
- 32.0000, 0, 0;
- 0, 8.0000, 0 ];
-
-b = [ 16
- 0
- 0 ];
-
-c = [ 9.2994 1.1624 0.1090 ];
-
-d = [ 0 ];
-
-av = [ -1.0000, 0, 4.0000, -9.2994, -1.1624, -0.1090;
- 0, 2.0000, 0, -9.2994, -1.1624, -0.1090;
- 0, 0, -3.0000, -9.2994, -1.1624, -0.1090;
- 16.0000, 16.0000, 16.0000, -26.4000, 6.4023, 4.3868;
- 0, 0, 0, 32.0000, 0, 0;
- 0, 0, 0, 0, 8.0000, 0 ];
-
-bv = [ 1
- 1
- 1
- 0
- 0
- 0 ];
-
-cv = [ 1 1 1 0 0 0 ];
-
-dv = [ 0 ];
-
-aw = bw = cw = dw = [];
-
-alpha = alphac = alphao = 0.0;
-tol1 = 0.1;
-tol2 = 0.0;
-dico = 0;
-jobc = jobo = 0;
-job = 1;
-weight = 1;
-equil = 0;
-ordsel = 0;
-nr = 2;
-
-
-[ar, br, cr, dr] = slab09id (a, b, c, d, dico, equil, nr, ordsel, alpha, job, \
- av, bv, cv, dv, \
- aw, bw, cw, dw, \
- weight, jobc, jobo, alphac, alphao, \
- tol1, tol2)
-
-%{
- AB09ID EXAMPLE PROGRAM RESULTS
-
-
- The order of reduced model = 2
-
- The Hankel singular values of weighted ALPHA-stable part are
- 3.8253 0.2005
-
- The reduced state dynamics matrix Ar is
- 9.1900 0.0000
- 0.0000 -34.5297
-
- The reduced input/state matrix Br is
- 11.9593
- 16.9329
-
- The reduced state/output matrix Cr is
- 2.8955 6.9152
-
- The reduced input/output matrix Dr is
- 0.0000
-%}
\ No newline at end of file
Deleted: trunk/octave-forge/extra/control-devel/devel/test_ab09jd.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/test_ab09jd.m 2012-04-01 21:43:42 UTC (rev 10128)
+++ trunk/octave-forge/extra/control-devel/devel/test_ab09jd.m 2012-04-02 11:34:53 UTC (rev 10129)
@@ -1,79 +0,0 @@
-% AB09JD EXAMPLE PROGRAM DATA (Continuous system)
-% 6 1 1 2 0 0 0.0 1.E-1 1.E-14 V N I C S A
-
-a = [ -3.8637 -7.4641 -9.1416 -7.4641 -3.8637 -1.0000
- 1.0000, 0 0 0 0 0
- 0 1.0000 0 0 0 0
- 0 0 1.0000 0 0 0
- 0 0 0 1.0000 0 0
- 0 0 0 0 1.0000 0 ];
-
-b = [ 1
- 0
- 0
- 0
- 0
- 0 ];
-
-c = [ 0 0 0 0 0 1 ];
-
-d = [ 0 ];
-
-av = [ 0.2000 -1.0000
- 1.0000 0 ];
-
-bv = [ 1
- 0 ];
-
-cv = [ -1.8000 0 ];
-
-dv = [ 1 ];
-
-[ar, br, cr, dr] = slab09jd (a, b, c, d, 0, 0, 0, 1, 0.0, \
- 1, av, bv, cv, dv, \
- 0, [], [], [], [], \
- 2, 1e-1, 1e-14)
-
-
-%{
- 0, 0.0, \
- 1, 0, 2, 0, 0, 1, \
- 1e-1, 1e-14)
-
- [ar, br, cr, dr, nr] = slab09jd (a, b, c, d, dt, scaled, nr, ordsel, alpha, \
- jobv, av, bv, cv, dv, \
- jobw, aw, bw, cw, dw, \
- jobinv, tol1, tol2);
-%}
-%{
-sys = ss (a, b, c, d);
-sysv = ss (av, bv, cv, dv);
-
-sysr = hnamodred (sys, 0, sysv, [])
-%}
-
-%{
-[ar, br, cr, dr] = slab09jd (a, b, c, d, av, bv, cv, dv, [], [], [], [], 0, 0.0, \
- 1, 0, 2, 0, 0, 1, \
- 1e-1, 1e-14)
-%}
-
-%{
- The reduced state dynamics matrix Ar is
- -0.2391 0.3072 1.1630 1.1967
- -2.9709 -0.2391 2.6270 3.1027
- 0.0000 0.0000 -0.5137 -1.2842
- 0.0000 0.0000 0.1519 -0.5137
-
- The reduced input/state matrix Br is
- -1.0497
- -3.7052
- 0.8223
- 0.7435
-
- The reduced state/output matrix Cr is
- -0.4466 0.0143 -0.4780 -0.2013
-
- The reduced input/output matrix Dr is
- 0.0219
-%}
Deleted: trunk/octave-forge/extra/control-devel/devel/test_bstmodred.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/test_bstmodred.m 2012-04-01 21:43:42 UTC (rev 10128)
+++ trunk/octave-forge/extra/control-devel/devel/test_bstmodred.m 2012-04-02 11:34:53 UTC (rev 10129)
@@ -1,37 +0,0 @@
-A = [ -0.04165 0.0000 4.9200 -4.9200 0.0000 0.0000 0.0000
- -5.2100 -12.500 0.0000 0.0000 0.0000 0.0000 0.0000
- 0.0000 3.3300 -3.3300 0.0000 0.0000 0.0000 0.0000
- 0.5450 0.0000 0.0000 0.0000 -0.5450 0.0000 0.0000
- 0.0000 0.0000 0.0000 4.9200 -0.04165 0.0000 4.9200
- 0.0000 0.0000 0.0000 0.0000 -5.2100 -12.500 0.0000
- 0.0000 0.0000 0.0000 0.0000 0.0000 3.3300 -3.3300 ];
-
-B = [ 0.0000 0.0000
- 12.500 0.0000
- 0.0000 0.0000
- 0.0000 0.0000
- 0.0000 0.0000
- 0.0000 12.500
- 0.0000 0.0000 ];
-
-C = [ 1.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
- 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 0.0000
- 0.0000 0.0000 0.0000 0.0000 1.0000 0.0000 0.0000 ];
-
-D = [ 0.0000 0.0000
- 0.0000 0.0000
- 0.0000 0.0000 ];
-
-sys = ss (A, B, C, D, "scaled", true);
-
-sysr = bstmodred (sys, "beta", 1.0, "tol1", 0.1, "tol2", 0.0)
-[Ao, Bo, Co, Do] = ssdata (sysr);
-
-
-opt = options ("beta", 1.0, "tol1", 0.1, "tol2", 0.0)
-sysr = bstmodred (sys, opt)
-
-
-sysr = bstmodred (sys, 5, "beta", 1.0, "tol1", 0.1, "tol2", 0.0)
-
-sysr = bstmodred (sys, 5, opt)
Deleted: trunk/octave-forge/extra/control-devel/devel/test_sb16ad.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/test_sb16ad.m 2012-04-01 21:43:42 UTC (rev 10128)
+++ trunk/octave-forge/extra/control-devel/devel/test_sb16ad.m 2012-04-02 11:34:53 UTC (rev 10129)
@@ -1,88 +0,0 @@
-%{
- SB16AD EXAMPLE PROGRAM DATA (Continuous system)
- 3 1 1 3 2 0.0 0.1E0 0.0 C S S F I N F
-
- N, M, P, NC, NCR, ALPHA, TOL1, TOL2, DICO,
- JOBC, JOBO, JOBMR, WEIGHT, EQUIL, ORDSEL
-
- -1. 0. 4.
- 0. 2. 0.
- 0. 0. -3.
- 1.
- 1.
- 1.
- 1. 1. 1.
- 0.
- -26.4000 6.4023 4.3868
- 32.0000 0 0
- 0 8.0000 0
- -16
- 0
- 0
- 9.2994 1.1624 0.1090
- 0
-%}
-
-a = [ -1. 0. 4.
- 0. 2. 0.
- 0. 0. -3. ];
-
-b = [ 1.
- 1.
- 1. ];
-
-c = [ 1. 1. 1. ];
-
-d = [ 0. ];
-
-ac = [ -26.4000, 6.4023, 4.3868;
- 32.0000, 0, 0;
- 0, 8.0000, 0 ];
-
-bc = [ -16
- 0
- 0 ];
-
-cc = [ 9.2994 1.1624 0.1090 ];
-
-dc = [ 0 ];
-
-
-alpha = 0.0;
-tol1 = 0.1;
-tol2 = 0.0;
-dico = 0;
-jobc = jobo = 0;
-jobmr = 1;
-weight = 2;
-equil = 1;
-ordsel = 0;
-ncr = 2;
-
-
-[ar, br, cr, dr] = slsb16ad (a, b, c, d, dico, equil, ncr, ordsel, alpha, jobmr, \
- ac, bc, cc, dc, weight, jobc, jobo, tol1, tol2)
-
-%{
- SB16AD EXAMPLE PROGRAM RESULTS
-
-
- The order of reduced controller = 2
-
- The Hankel singular values of weighted ALPHA-stable part are
- 3.8253 0.2005
-
- The reduced controller state dynamics matrix Ac is
- 9.1900 0.0000
- 0.0000 -34.5297
-
- The reduced controller input/state matrix Bc is
- -11.9593
- 86.3137
-
- The reduced controller state/output matrix Cc is
- 2.8955 -1.3566
-
- The reduced controller input/output matrix Dc is
- 0.0000
-%}
\ No newline at end of file
Deleted: trunk/octave-forge/extra/control-devel/devel/test_sb16bd.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/test_sb16bd.m 2012-04-01 21:43:42 UTC (rev 10128)
+++ trunk/octave-forge/extra/control-devel/devel/test_sb16bd.m 2012-04-02 11:34:53 UTC (rev 10129)
@@ -1,110 +0,0 @@
-%{
- SB16BD EXAMPLE PROGRAM DATA (Continuous system)
- 8 1 1 4 0.1E0 0.0 C D F L S F
-
- N, M, P, NCR, TOL1, TOL2,
- DICO, JOBD, JOBMR, JOBCF, EQUIL, ORDSEL
-
- 0 1.0000 0 0 0 0 0 0
- 0 0 0 0 0 0 0 0
- 0 0 -0.0150 0.7650 0 0 0 0
- 0 0 -0.7650 -0.0150 0 0 0 0
- 0 0 0 0 -0.0280 1.4100 0 0
- 0 0 0 0 -1.4100 -0.0280 0 0
- 0 0 0 0 0 0 -0.0400 1.850
- 0 0 0 0 0 0 -1.8500 -0.040
- 0.0260
- -0.2510
- 0.0330
- -0.8860
- -4.0170
- 0.1450
- 3.6040
- 0.2800
- -.996 -.105 0.261 .009 -.001 -.043 0.002 -0.026
- 0.0
-4.4721e-002 6.6105e-001 4.6986e-003 3.6014e-001 1.0325e-001 -3.7541e-002 -4.2685e-002 3.2873e-002
- 4.1089e-001
- 8.6846e-002
- 3.8523e-004
- -3.6194e-003
- -8.8037e-003
- 8.4205e-003
- 1.2349e-003
- 4.2632e-003
-%}
-
-a = [ 0 1.0000 0 0 0 0 0 0
- 0 0 0 0 0 0 0 0
- 0 0 -0.0150 0.7650 0 0 0 0
- 0 0 -0.7650 -0.0150 0 0 0 0
- 0 0 0 0 -0.0280 1.4100 0 0
- 0 0 0 0 -1.4100 -0.0280 0 0
- 0 0 0 0 0 0 -0.0400 1.850
- 0 0 0 0 0 0 -1.8500 -0.040 ];
-
-b = [ 0.0260
- -0.2510
- 0.0330
- -0.8860
- -4.0170
- 0.1450
- 3.6040
- 0.2800 ];
-
-c = [ -.996 -.105 0.261 .009 -.001 -.043 0.002 -0.026 ];
-
-d = [ 0.0 ];
-
-f = [ 4.4721e-002 6.6105e-001 4.6986e-003 3.6014e-001 1.0325e-001 -3.7541e-002 -4.2685e-002 3.2873e-002 ];
-
-g = [ 4.1089e-001
- 8.6846e-002
- 3.8523e-004
- -3.6194e-003
- -8.8037e-003
- 8.4205e-003
- 1.2349e-003
- 4.2632e-003 ];
-
-
-tol1 = 0.1;
-tol2 = 0.0;
-dico = 0;
-jobd = 1;
-jobmr = 1;
-jobcf = 0;
-equil = 0;
-ordsel = 0;
-ncr = 4;
-
-
-[ac, bc, cc, dc] = slsb16bd (a, b, c, d, dico, equil, ncr, ordsel, jobd, jobmr, \
- f, g, jobcf, tol1, tol2)
-
-%{
- SB16BD EXAMPLE PROGRAM RESULTS
-
- The order of reduced controller = 4
-
- The Hankel singular values of extended system are:
- 4.9078 4.8745 3.8455 3.7811 1.2289 1.1785 0.5176 0.1148
-
- The reduced controller state dynamics matrix Ac is
- 0.5946 -0.7336 0.1914 -0.3368
- 0.5960 -0.0184 -0.1088 0.0207
- 1.2253 0.2043 0.1009 -1.4948
- -0.0330 -0.0243 1.3440 0.0035
-
- The reduced controller input/state matrix Bc is
- 0.0015
- -0.0202
- 0.0159
- -0.0544
-
- The reduced controller state/output matrix Cc is
- 0.3534 0.0274 0.0337 -0.0320
-
- The reduced controller input/output matrix Dc is
- 0.0000
-%}
\ No newline at end of file
Deleted: trunk/octave-forge/extra/control-devel/devel/test_sb16cd.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/test_sb16cd.m 2012-04-01 21:43:42 UTC (rev 10128)
+++ trunk/octave-forge/extra/control-devel/devel/test_sb16cd.m 2012-04-02 11:34:53 UTC (rev 10129)
@@ -1,111 +0,0 @@
-%{
- SB16CD EXAMPLE PROGRAM DATA (Continuous system)
- 8 1 1 2 0.1E0 C D F R F
-
- N, M, P, NCR, TOL,
- DICO, JOBD, JOBMR, JOBCF, ORDSEL
-
- 0 1.0000 0 0 0 0 0 0
- 0 0 0 0 0 0 0 0
- 0 0 -0.0150 0.7650 0 0 0 0
- 0 0 -0.7650 -0.0150 0 0 0 0
- 0 0 0 0 -0.0280 1.4100 0 0
- 0 0 0 0 -1.4100 -0.0280 0 0
- 0 0 0 0 0 0 -0.0400 1.850
- 0 0 0 0 0 0 -1.8500 -0.040
- 0.0260
- -0.2510
- 0.0330
- -0.8860
- -4.0170
- 0.1450
- 3.6040
- 0.2800
- -.996 -.105 0.261 .009 -.001 -.043 0.002 -0.026
- 0.0
-4.472135954999638e-002 6.610515358414598e-001 4.698598960657579e-003 3.601363251422058e-001 1.032530880771415e-001 -3.754055214487997e-002 -4.268536964759344e-002 3.287284547842979e-002
- 4.108939884667451e-001
- 8.684600000000012e-002
- 3.852317308197148e-004
- -3.619366874815911e-003
- -8.803722876359955e-003
- 8.420521094001852e-003
- 1.234944428038507e-003
- 4.263205617645322e-003
-%}
-
-a = [ 0 1.0000 0 0 0 0 0 0
- 0 0 0 0 0 0 0 0
- 0 0 -0.0150 0.7650 0 0 0 0
- 0 0 -0.7650 -0.0150 0 0 0 0
- 0 0 0 0 -0.0280 1.4100 0 0
- 0 0 0 0 -1.4100 -0.0280 0 0
- 0 0 0 0 0 0 -0.0400 1.850
- 0 0 0 0 0 0 -1.8500 -0.040 ];
-
-b = [ 0.0260
- -0.2510
- 0.0330
- -0.8860
- -4.0170
- 0.1450
- 3.6040
- 0.2800 ];
-
-c = [ -.996 -.105 0.261 .009 -.001 -.043 0.002 -0.026 ];
-
-d = [ 0.0 ];
-
-f = [ 4.472135954999638e-002 6.610515358414598e-001 4.698598960657579e-003 3.601363251422058e-001 1.032530880771415e-001 -3.754055214487997e-002 -4.268536964759344e-002 3.287284547842979e-002 ];
-
-g = [ 4.108939884667451e-001
- 8.684600000000012e-002
- 3.852317308197148e-004
- -3.619366874815911e-003
- -8.803722876359955e-003
- 8.420521094001852e-003
- 1.234944428038507e-003
- 4.263205617645322e-003 ];
-
-%{
- 8 1 1 2 0.1E0 C D F R F
-
- N, M, P, NCR, TOL,
- DICO, JOBD, JOBMR, JOBCF, ORDSEL
-%}
-
-
-tol = 0.1; # tol1
-dico = 0;
-jobd = 1;
-jobmr = 1;
-jobcf = 1;
-ordsel = 0;
-ncr = 2;
-
-
-[ac, bc, cc] = slsb16cd (a, b, c, d, dico, ncr, ordsel, jobd, jobmr, \
- f, g, jobcf, tol)
-
-Go = ss (a, b, c, d);
-[Kr, Info] = fwcfconred (Go, f, g, 2, "method", "bfsr", "cf", "right")
-
-%{
- SB16CD EXAMPLE PROGRAM RESULTS
-
- The order of reduced controller = 2
-
- The frequency-weighted Hankel singular values are:
- 3.3073 0.7274 0.1124 0.0784 0.0242 0.0182 0.0101 0.0094
-
- The reduced controller state dynamics matrix Ac is
- -0.4334 0.4884
- -0.1950 -0.1093
-
- The reduced controller input/state matrix Bc is
- -0.4231
- -0.1785
-
- The reduced controller state/output matrix Cc is
- -0.0326 -0.2307
-%}
\ No newline at end of file
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-04-18 16:20:40
|
Revision: 10276
http://octave.svn.sourceforge.net/octave/?rev=10276&view=rev
Author: paramaniac
Date: 2012-04-18 16:20:26 +0000 (Wed, 18 Apr 2012)
Log Message:
-----------
control-devel: add more test data from the DaISy collection
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/PowerPlant.m
trunk/octave-forge/extra/control-devel/devel/PowerPlantTest.m
trunk/octave-forge/extra/control-devel/devel/ident.m
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/CD_player_arm-1.dat
trunk/octave-forge/extra/control-devel/devel/CDplayer.m
trunk/octave-forge/extra/control-devel/devel/Evaporator.m
trunk/octave-forge/extra/control-devel/devel/evaporator.dat
trunk/octave-forge/extra/control-devel/devel/pH.m
trunk/octave-forge/extra/control-devel/devel/pHdata.dat
Added: trunk/octave-forge/extra/control-devel/devel/CD_player_arm-1.dat
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/CD_player_arm-1.dat (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/CD_player_arm-1.dat 2012-04-18 16:20:26 UTC (rev 10276)
@@ -0,0 +1,2048 @@
+ 5.3100000e-02 -3.1300000e-02 4.9500000e-02 3.4200000e-02
+ 5.2600000e-02 -3.2800000e-02 5.2500000e-02 3.4200000e-02
+ 5.0400000e-02 -4.8200000e-02 4.8500000e-02 5.6700000e-02
+ 4.2300000e-02 -1.0480000e-01 2.8500000e-02 1.5420000e-01
+ 2.6900000e-02 -1.5150000e-01 5.5500000e-02 1.1920000e-01
+ 7.2000000e-03 -1.4040000e-01 6.3500000e-02 2.0670000e-01
+ -9.1000000e-03 -9.3600000e-02 1.8850000e-01 -5.5800000e-02
+ -2.7200000e-02 -7.7000000e-02 1.1450000e-01 2.2920000e-01
+ -6.0200000e-02 -7.2000000e-02 9.8500000e-02 2.7670000e-01
+ -9.6200000e-02 -1.0120000e-01 2.4850000e-01 -7.3300000e-02
+ -1.2660000e-01 -2.7320000e-01 2.7050000e-01 3.0170000e-01
+ -1.5480000e-01 -4.9990000e-01 3.6750000e-01 2.5670000e-01
+ -1.8310000e-01 -6.8360000e-01 3.6650000e-01 3.4920000e-01
+ -2.2250000e-01 -8.4770000e-01 3.1450000e-01 7.4920000e-01
+ -2.6380000e-01 -9.5330000e-01 4.6150000e-01 4.0670000e-01
+ -2.8650000e-01 -9.9260000e-01 5.0250000e-01 4.9170000e-01
+ -2.8770000e-01 -9.5190000e-01 5.3550000e-01 5.9420000e-01
+ -2.6520000e-01 -8.1000000e-01 5.8350000e-01 2.9170000e-01
+ -2.2290000e-01 -6.5460000e-01 4.3550000e-01 4.4170000e-01
+ -1.6900000e-01 -4.8020000e-01 3.1750000e-01 2.6670000e-01
+ -1.0220000e-01 -3.1470000e-01 2.2650000e-01 1.0670000e-01
+ -2.6200000e-02 -2.1810000e-01 1.6550000e-01 1.7170000e-01
+ 5.0800000e-02 -1.2140000e-01 1.2950000e-01 1.6700000e-02
+ 1.1810000e-01 2.7000000e-03 -3.7500000e-02 6.4200000e-02
+ 1.6390000e-01 1.2900000e-01 -2.0150000e-01 7.6700000e-02
+ 1.9150000e-01 2.4910000e-01 -2.4450000e-01 -9.3300000e-02
+ 2.1410000e-01 3.5010000e-01 -2.0850000e-01 -1.8330000e-01
+ 2.3830000e-01 4.3840000e-01 -2.0550000e-01 -2.0830000e-01
+ 2.5910000e-01 5.3250000e-01 -2.9150000e-01 -1.5330000e-01
+ 2.7200000e-01 6.5050000e-01 -3.7250000e-01 -2.1080000e-01
+ 2.8550000e-01 7.9590000e-01 -3.9750000e-01 -4.0830000e-01
+ 3.0360000e-01 9.8370000e-01 -4.5850000e-01 -4.2580000e-01
+ 3.1800000e-01 1.2078000e+00 -5.1750000e-01 -4.1080000e-01
+ 3.2780000e-01 1.4001000e+00 -4.4150000e-01 -6.9580000e-01
+ 3.3330000e-01 1.5244000e+00 -4.4450000e-01 -7.1830000e-01
+ 3.2010000e-01 1.6123000e+00 -6.0650000e-01 -4.6580000e-01
+ 2.9200000e-01 1.6983000e+00 -5.6450000e-01 -8.1330000e-01
+ 2.7200000e-01 1.7388000e+00 -3.8750000e-01 -1.0058000e+00
+ 2.5560000e-01 1.6854000e+00 -3.7750000e-01 -6.2080000e-01
+ 2.2790000e-01 1.5986000e+00 -4.1150000e-01 -6.7830000e-01
+ 1.9540000e-01 1.4945000e+00 -4.2150000e-01 -7.8080000e-01
+ 1.6670000e-01 1.3238000e+00 -3.4750000e-01 -6.4830000e-01
+ 1.3840000e-01 1.0917000e+00 -2.9850000e-01 -5.0330000e-01
+ 1.0390000e-01 8.5390000e-01 -2.9950000e-01 -3.0830000e-01
+ 6.9700000e-02 6.4750000e-01 -1.1550000e-01 -4.4830000e-01
+ 3.9100000e-02 4.2330000e-01 -3.1500000e-02 -2.0330000e-01
+ 2.7000000e-03 2.2350000e-01 -7.7500000e-02 3.1700000e-02
+ -3.3000000e-02 9.6600000e-02 1.5500000e-02 -2.4580000e-01
+ -6.0600000e-02 -8.1700000e-02 1.1250000e-01 5.4200000e-02
+ -8.2700000e-02 -3.0000000e-01 2.6850000e-01 1.2420000e-01
+ -9.3900000e-02 -4.6750000e-01 2.8650000e-01 6.4200000e-02
+ -9.5000000e-02 -5.8660000e-01 1.6850000e-01 3.7170000e-01
+ -8.4000000e-02 -6.7020000e-01 2.7350000e-01 1.0170000e-01
+ -6.1100000e-02 -7.6760000e-01 2.5050000e-01 2.8670000e-01
+ -4.3200000e-02 -7.8910000e-01 1.2450000e-01 5.3420000e-01
+ -2.8900000e-02 -6.7360000e-01 1.9450000e-01 8.4200000e-02
+ -1.2600000e-02 -5.5160000e-01 1.8850000e-01 2.3920000e-01
+ 3.0000000e-04 -4.0550000e-01 1.7950000e-01 1.9670000e-01
+ 1.5900000e-02 -2.0970000e-01 1.6050000e-01 -1.2080000e-01
+ 3.4800000e-02 -4.0800000e-02 9.2500000e-02 2.1700000e-02
+ 5.0600000e-02 1.2080000e-01 1.3950000e-01 -1.4080000e-01
+ 6.2700000e-02 3.0780000e-01 7.9500000e-02 -2.1830000e-01
+ 7.2300000e-02 4.7730000e-01 1.7500000e-02 -3.1580000e-01
+ 7.9200000e-02 5.0950000e-01 2.1500000e-02 -3.5330000e-01
+ 7.5200000e-02 4.3140000e-01 8.5000000e-03 -1.5330000e-01
+ 5.9000000e-02 4.0530000e-01 4.2500000e-02 -2.6830000e-01
+ 3.7800000e-02 4.1740000e-01 2.4500000e-02 -2.6580000e-01
+ 1.0300000e-02 4.4100000e-01 2.9500000e-02 -1.7830000e-01
+ -2.5800000e-02 4.9400000e-01 9.0500000e-02 -2.6330000e-01
+ -6.5200000e-02 4.8370000e-01 1.3850000e-01 -2.7580000e-01
+ -1.0350000e-01 3.6110000e-01 1.8050000e-01 -2.2580000e-01
+ -1.4290000e-01 1.3760000e-01 2.0350000e-01 -3.8300000e-02
+ -1.8470000e-01 -2.2510000e-01 3.0950000e-01 1.6700000e-02
+ -2.3400000e-01 -7.0170000e-01 3.2450000e-01 3.6920000e-01
+ -3.0360000e-01 -1.1050000e+00 3.3550000e-01 7.5170000e-01
+ -3.8270000e-01 -1.3696000e+00 5.9950000e-01 4.9170000e-01
+ -4.5570000e-01 -1.6423000e+00 7.6550000e-01 7.0170000e-01
+ -5.3090000e-01 -1.9082000e+00 7.9750000e-01 1.1367000e+00
+ -6.0180000e-01 -2.0464000e+00 9.8050000e-01 8.3170000e-01
+ -6.4580000e-01 -2.0844000e+00 1.1445000e+00 7.6920000e-01
+ -6.6130000e-01 -2.0949000e+00 1.2125000e+00 9.2170000e-01
+ -6.5890000e-01 -2.0794000e+00 1.1595000e+00 9.3170000e-01
+ -6.3990000e-01 -1.9906000e+00 1.1525000e+00 7.9420000e-01
+ -6.0090000e-01 -1.8632000e+00 1.1895000e+00 6.8670000e-01
+ -5.4900000e-01 -1.7523000e+00 1.0765000e+00 7.6170000e-01
+ -4.9120000e-01 -1.6356000e+00 9.6150000e-01 6.3420000e-01
+ -4.2720000e-01 -1.5132000e+00 8.8450000e-01 5.8170000e-01
+ -3.5670000e-01 -1.3945000e+00 8.2950000e-01 5.5170000e-01
+ -2.7660000e-01 -1.3215000e+00 7.0850000e-01 4.3920000e-01
+ -1.8680000e-01 -1.3317000e+00 5.1750000e-01 4.7920000e-01
+ -9.7100000e-02 -1.3609000e+00 3.7650000e-01 5.3170000e-01
+ -1.9200000e-02 -1.3473000e+00 2.1250000e-01 6.3670000e-01
+ 4.6600000e-02 -1.2796000e+00 7.1500000e-02 5.1920000e-01
+ 1.0890000e-01 -1.2096000e+00 -3.8500000e-02 4.1170000e-01
+ 1.6440000e-01 -1.1582000e+00 -1.4250000e-01 5.7420000e-01
+ 2.0560000e-01 -1.0522000e+00 -2.0150000e-01 4.5420000e-01
+ 2.3310000e-01 -9.2160000e-01 -3.3050000e-01 3.8170000e-01
+ 2.4780000e-01 -8.3300000e-01 -4.4850000e-01 4.1420000e-01
+ 2.5180000e-01 -7.6130000e-01 -4.5450000e-01 3.0170000e-01
+ 2.4700000e-01 -7.0810000e-01 -4.3150000e-01 2.8920000e-01
+ 2.2760000e-01 -6.9600000e-01 -4.6050000e-01 3.4420000e-01
+ 1.8650000e-01 -7.0760000e-01 -5.1550000e-01 3.6920000e-01
+ 1.2530000e-01 -7.3960000e-01 -4.4850000e-01 3.2420000e-01
+ 4.7200000e-02 -8.1460000e-01 -3.3750000e-01 4.2920000e-01
+ -4.7300000e-02 -8.9610000e-01 -2.2350000e-01 4.9670000e-01
+ -1.5210000e-01 -9.4360000e-01 -5.1500000e-02 4.6920000e-01
+ -2.5770000e-01 -9.5160000e-01 1.2650000e-01 5.6670000e-01
+ -3.4840000e-01 -8.7650000e-01 3.5750000e-01 3.6170000e-01
+ -4.1030000e-01 -7.6320000e-01 4.9150000e-01 2.5420000e-01
+ -4.5230000e-01 -6.8160000e-01 4.8250000e-01 4.6670000e-01
+ -4.8350000e-01 -5.6940000e-01 5.7250000e-01 2.8920000e-01
+ -4.9530000e-01 -4.0930000e-01 6.6650000e-01 1.4170000e-01
+ -4.7860000e-01 -2.4180000e-01 7.0550000e-01 9.1700000e-02
+ -4.3450000e-01 -8.2900000e-02 6.6150000e-01 1.9200000e-02
+ -3.7190000e-01 5.6500000e-02 5.4550000e-01 6.1700000e-02
+ -2.9490000e-01 2.0730000e-01 4.6550000e-01 -8.0800000e-02
+ -2.0160000e-01 3.5660000e-01 3.2550000e-01 -1.4330000e-01
+ -9.4600000e-02 3.9500000e-01 1.7650000e-01 -1.3830000e-01
+ 1.8000000e-02 2.8030000e-01 3.2500000e-02 -1.0830000e-01
+ 1.2390000e-01 1.1480000e-01 -1.2450000e-01 3.9200000e-02
+ 2.1370000e-01 -3.5700000e-02 -2.7850000e-01 6.4200000e-02
+ 2.8510000e-01 -1.7760000e-01 -4.5450000e-01 1.2670000e-01
+ 3.3860000e-01 -2.8380000e-01 -5.1350000e-01 1.3920000e-01
+ 3.7240000e-01 -3.7030000e-01 -5.3950000e-01 1.9920000e-01
+ 3.8040000e-01 -4.2620000e-01 -5.9950000e-01 2.6920000e-01
+ 3.6060000e-01 -3.8820000e-01 -6.2050000e-01 1.7170000e-01
+ 3.1430000e-01 -2.6570000e-01 -6.0050000e-01 1.6670000e-01
+ 2.4560000e-01 -4.5300000e-02 -4.9250000e-01 9.2000000e-03
+ 1.6330000e-01 2.7260000e-01 -3.8350000e-01 -1.6830000e-01
+ 7.5700000e-02 6.1400000e-01 -2.7050000e-01 -3.1830000e-01
+ -8.8000000e-03 8.9540000e-01 -1.1750000e-01 -5.3330000e-01
+ -8.2700000e-02 1.0590000e+00 -3.9500000e-02 -5.3580000e-01
+ -1.3770000e-01 1.1857000e+00 5.4500000e-02 -7.4080000e-01
+ -1.7070000e-01 1.3715000e+00 7.2500000e-02 -7.9330000e-01
+ -1.9110000e-01 1.5865000e+00 6.9500000e-02 -7.7580000e-01
+ -2.0270000e-01 1.7486000e+00 1.4450000e-01 -9.9330000e-01
+ -2.0420000e-01 1.8322000e+00 1.2650000e-01 -8.7330000e-01
+ -1.9010000e-01 1.9362000e+00 2.0650000e-01 -1.0933000e+00
+ -1.5500000e-01 2.0756000e+00 2.1850000e-01 -1.2008000e+00
+ -1.1500000e-01 2.2175000e+00 8.3500000e-02 -9.2580000e-01
+ -7.8200000e-02 2.4161000e+00 1.2250000e-01 -1.3158000e+00
+ -3.8200000e-02 2.5968000e+00 9.9500000e-02 -1.3508000e+00
+ 9.0000000e-04 2.6974000e+00 6.8500000e-02 -1.2508000e+00
+ 3.9200000e-02 2.7343000e+00 9.5500000e-02 -1.4683000e+00
+ 7.5500000e-02 2.6634000e+00 1.6500000e-02 -1.2133000e+00
+ 1.0760000e-01 2.5477000e+00 2.2500000e-02 -1.2458000e+00
+ 1.4310000e-01 2.4412000e+00 -3.0500000e-02 -1.2558000e+00
+ 1.8440000e-01 2.3062000e+00 -1.1650000e-01 -1.0908000e+00
+ 2.2600000e-01 2.1947000e+00 -1.7550000e-01 -1.1083000e+00
+ 2.5870000e-01 2.1622000e+00 -2.8350000e-01 -9.5080000e-01
+ 2.7980000e-01 2.1829000e+00 -3.0550000e-01 -1.0508000e+00
+ 2.9670000e-01 2.2071000e+00 -3.3750000e-01 -1.1083000e+00
+ 3.1140000e-01 2.2195000e+00 -3.5150000e-01 -1.0408000e+00
+ 3.2350000e-01 2.2042000e+00 -3.2950000e-01 -1.1133000e+00
+ 3.3150000e-01 2.0932000e+00 -3.7750000e-01 -9.5830000e-01
+ 3.3650000e-01 1.8795000e+00 -3.8150000e-01 -9.2330000e-01
+ 3.4460000e-01 1.6517000e+00 -4.0250000e-01 -8.5830000e-01
+ 3.5610000e-01 1.4464000e+00 -4.2850000e-01 -7.1830000e-01
+ 3.6190000e-01 1.2298000e+00 -4.9950000e-01 -5.7080000e-01
+ 3.5240000e-01 1.0610000e+00 -6.0350000e-01 -3.6830000e-01
+ 3.3550000e-01 9.9130000e-01 -5.3750000e-01 -5.3830000e-01
+ 3.2660000e-01 9.1090000e-01 -4.8350000e-01 -5.3580000e-01
+ 3.2180000e-01 7.7310000e-01 -5.4150000e-01 -2.6830000e-01
+ 3.1100000e-01 6.1490000e-01 -5.7150000e-01 -2.4080000e-01
+ 2.9690000e-01 4.3680000e-01 -5.5250000e-01 -1.8830000e-01
+ 2.8600000e-01 2.5250000e-01 -4.8250000e-01 -1.4830000e-01
+ 2.7400000e-01 5.4600000e-02 -5.1150000e-01 7.6700000e-02
+ 2.5210000e-01 -1.3000000e-01 -5.0750000e-01 2.2170000e-01
+ 2.2610000e-01 -2.5710000e-01 -3.8050000e-01 1.3170000e-01
+ 2.0650000e-01 -3.2380000e-01 -3.1550000e-01 1.8670000e-01
+ 1.9310000e-01 -2.9870000e-01 -3.3050000e-01 1.9420000e-01
+ 1.8080000e-01 -2.3290000e-01 -3.5650000e-01 2.0920000e-01
+ 1.7280000e-01 -2.0600000e-01 -2.6550000e-01 1.1170000e-01
+ 1.7780000e-01 -1.6960000e-01 -1.9350000e-01 4.2000000e-03
+ 1.9330000e-01 -8.1400000e-02 -2.8050000e-01 1.2920000e-01
+ 2.1360000e-01 4.0100000e-02 -3.1950000e-01 1.7000000e-03
+ 2.4330000e-01 1.4800000e-01 -3.0150000e-01 -1.3080000e-01
+ 2.8300000e-01 1.8640000e-01 -3.3950000e-01 -1.1830000e-01
+ 3.2310000e-01 1.8010000e-01 -5.0950000e-01 -5.0800000e-02
+ 3.5480000e-01 1.9850000e-01 -6.2550000e-01 -2.8300000e-02
+ 3.8280000e-01 2.2120000e-01 -5.5050000e-01 -2.3580000e-01
+ 4.0710000e-01 2.1300000e-01 -6.1850000e-01 -8.3300000e-02
+ 4.1610000e-01 2.0780000e-01 -7.5050000e-01 -2.3300000e-02
+ 4.0700000e-01 1.7290000e-01 -7.7350000e-01 -1.2080000e-01
+ 3.8200000e-01 5.8000000e-02 -7.2550000e-01 8.9200000e-02
+ 3.4720000e-01 -1.2450000e-01 -6.1950000e-01 4.9200000e-02
+ 3.0910000e-01 -3.8830000e-01 -6.5450000e-01 2.6170000e-01
+ 2.6640000e-01 -6.9030000e-01 -6.3550000e-01 5.4920000e-01
+ 2.2620000e-01 -1.0013000e+00 -4.6550000e-01 4.7920000e-01
+ 1.9300000e-01 -1.3467000e+00 -4.9250000e-01 8.6920000e-01
+ 1.6360000e-01 -1.6417000e+00 -5.1750000e-01 9.7170000e-01
+ 1.4270000e-01 -1.8525000e+00 -4.4150000e-01 9.0670000e-01
+ 1.2660000e-01 -2.0179000e+00 -4.0150000e-01 1.2292000e+00
+ 1.1180000e-01 -2.1203000e+00 -3.4850000e-01 1.0842000e+00
+ 1.0180000e-01 -2.1909000e+00 -3.8450000e-01 1.0817000e+00
+ 9.1200000e-02 -2.2222000e+00 -3.6350000e-01 1.2492000e+00
+ 7.7400000e-02 -2.1564000e+00 -2.1150000e-01 9.8920000e-01
+ 6.1400000e-02 -2.0300000e+00 -1.9950000e-01 1.0467000e+00
+ 4.3800000e-02 -1.8759000e+00 -1.5950000e-01 9.5170000e-01
+ 3.8500000e-02 -1.7096000e+00 1.5500000e-02 5.3670000e-01
+ 4.5700000e-02 -1.5773000e+00 4.5500000e-02 6.7420000e-01
+ 4.6100000e-02 -1.4479000e+00 -4.1500000e-02 7.2420000e-01
+ 3.7100000e-02 -1.2867000e+00 -3.2500000e-02 3.8420000e-01
+ 2.5900000e-02 -1.1849000e+00 4.4500000e-02 4.1420000e-01
+ 1.3300000e-02 -1.1751000e+00 1.4850000e-01 4.0920000e-01
+ -2.3000000e-03 -1.1735000e+00 1.2550000e-01 3.9920000e-01
+ -2.3400000e-02 -1.1757000e+00 7.0500000e-02 5.4920000e-01
+ -4.2700000e-02 -1.2288000e+00 1.8250000e-01 3.6420000e-01
+ -5.4600000e-02 -1.3379000e+00 1.5450000e-01 5.3670000e-01
+ -6.9300000e-02 -1.4457000e+00 3.8500000e-02 8.0920000e-01
+ -8.6200000e-02 -1.4768000e+00 9.6500000e-02 6.0670000e-01
+ -9.6000000e-02 -1.4632000e+00 1.6350000e-01 6.5420000e-01
+ -1.0130000e-01 -1.4416000e+00 1.4450000e-01 7.1170000e-01
+ -1.0980000e-01 -1.3817000e+00 5.5500000e-02 6.4170000e-01
+ -1.3070000e-01 -1.2943000e+00 3.0500000e-02 7.0670000e-01
+ -1.6870000e-01 -1.1853000e+00 1.5850000e-01 6.0170000e-01
+ -2.2030000e-01 -1.0350000e+00 2.5050000e-01 5.3170000e-01
+ -2.8050000e-01 -8.1970000e-01 3.1750000e-01 4.5420000e-01
+ -3.4270000e-01 -5.3620000e-01 4.5450000e-01 3.0670000e-01
+ -3.9500000e-01 -2.7830000e-01 6.2450000e-01 1.2170000e-01
+ -4.2570000e-01 -1.2650000e-01 6.7450000e-01 -8.3000000e-03
+ -4.3470000e-01 -3.5200000e-02 6.1150000e-01 6.4200000e-02
+ -4.2730000e-01 8.4900000e-02 6.4550000e-01 -6.0800000e-02
+ -4.0800000e-01 2.6690000e-01 6.3750000e-01 -9.8300000e-02
+ -3.8080000e-01 4.5930000e-01 5.5950000e-01 -1.1830000e-01
+ -3.3780000e-01 6.0350000e-01 5.4650000e-01 -4.1580000e-01
+ -2.7760000e-01 6.9560000e-01 4.8950000e-01 -3.2330000e-01
+ -2.1390000e-01 7.7670000e-01 4.1450000e-01 -2.4830000e-01
+ -1.4850000e-01 8.7590000e-01 3.1050000e-01 -5.0330000e-01
+ -7.9800000e-02 9.4960000e-01 1.4650000e-01 -4.0330000e-01
+ -1.3800000e-02 9.8670000e-01 1.0650000e-01 -4.1330000e-01
+ 4.8100000e-02 1.0353000e+00 8.2500000e-02 -5.4580000e-01
+ 1.0140000e-01 1.0584000e+00 -2.8500000e-02 -3.9580000e-01
+ 1.4170000e-01 1.0195000e+00 -1.2450000e-01 -3.5080000e-01
+ 1.8100000e-01 9.6430000e-01 -1.1750000e-01 -5.0580000e-01
+ 2.3040000e-01 8.9870000e-01 -1.3250000e-01 -4.6330000e-01
+ 2.7840000e-01 8.2230000e-01 -3.1550000e-01 -1.8330000e-01
+ 3.1580000e-01 7.7410000e-01 -4.1650000e-01 -3.0580000e-01
+ 3.4770000e-01 7.2410000e-01 -4.4750000e-01 -3.6080000e-01
+ 3.7000000e-01 6.1950000e-01 -5.5150000e-01 -4.5800000e-02
+ 3.8090000e-01 5.1390000e-01 -5.9050000e-01 -1.6330000e-01
+ 3.8960000e-01 4.4720000e-01 -5.8850000e-01 -1.9830000e-01
+ 3.9350000e-01 3.6970000e-01 -5.9850000e-01 4.1700000e-02
+ 3.8790000e-01 3.2960000e-01 -6.3350000e-01 -3.0800000e-02
+ 3.7810000e-01 3.8440000e-01 -6.7950000e-01 -1.1830000e-01
+ 3.6610000e-01 4.7410000e-01 -6.5550000e-01 -9.0800000e-02
+ 3.4930000e-01 6.0390000e-01 -5.8050000e-01 -2.3580000e-01
+ 3.2400000e-01 7.0040000e-01 -5.6350000e-01 -2.5330000e-01
+ 2.8580000e-01 6.1890000e-01 -5.7850000e-01 -9.3300000e-02
+ 2.4320000e-01 4.4270000e-01 -4.4350000e-01 -2.3830000e-01
+ 2.0740000e-01 2.3540000e-01 -3.3550000e-01 -1.4580000e-01
+ 1.6720000e-01 1.2800000e-02 -4.0750000e-01 2.9670000e-01
+ 1.1830000e-01 -1.0600000e-01 -3.2750000e-01 7.6700000e-02
+ 7.2000000e-02 -1.5690000e-01 -2.1850000e-01 7.9200000e-02
+ 2.8100000e-02 -1.8370000e-01 -1.7550000e-01 2.9420000e-01
+ -1.1000000e-02 -1.4650000e-01 -9.6500000e-02 9.2000000e-03
+ -4.3000000e-02 -1.1240000e-01 -1.0350000e-01 1.8920000e-01
+ -6.9400000e-02 -9.0700000e-02 3.4500000e-02 1.2670000e-01
+ -8.2200000e-02 -4.0200000e-02 1.3950000e-01 -8.8300000e-02
+ -8.4000000e-02 3.6600000e-02 5.4500000e-02 1.2670000e-01
+ -8.1300000e-02 1.0440000e-01 1.1250000e-01 -7.5800000e-02
+ -7.4400000e-02 9.3600000e-02 1.6150000e-01 -7.8300000e-02
+ -7.3600000e-02 5.7900000e-02 1.2150000e-01 1.4420000e-01
+ -8.0900000e-02 5.4600000e-02 1.4450000e-01 -4.5800000e-02
+ -8.6900000e-02 4.0200000e-02 1.6650000e-01 -3.3000000e-03
+ -8.8200000e-02 2.5000000e-03 2.5850000e-01 1.6700000e-02
+ -8.9100000e-02 -8.9300000e-02 2.3350000e-01 6.1700000e-02
+ -9.8900000e-02 -2.0160000e-01 1.0950000e-01 2.5670000e-01
+ -1.1570000e-01 -2.8980000e-01 1.7550000e-01 1.5170000e-01
+ -1.2790000e-01 -4.2030000e-01 2.5050000e-01 2.1920000e-01
+ -1.3210000e-01 -5.5230000e-01 2.4250000e-01 2.8920000e-01
+ -1.3530000e-01 -6.3800000e-01 1.5150000e-01 3.8920000e-01
+ -1.4510000e-01 -7.2660000e-01 9.5500000e-02 5.4920000e-01
+ -1.5170000e-01 -8.0320000e-01 1.7750000e-01 3.5170000e-01
+ -1.4020000e-01 -8.4440000e-01 1.4450000e-01 4.2170000e-01
+ -1.1030000e-01 -8.4730000e-01 8.2500000e-02 4.4670000e-01
+ -6.7700000e-02 -8.7110000e-01 7.2500000e-02 3.3420000e-01
+ -2.8600000e-02 -9.4690000e-01 -8.0500000e-02 6.8420000e-01
+ 2.3000000e-03 -9.5790000e-01 -1.2450000e-01 4.2420000e-01
+ 3.8100000e-02 -9.4790000e-01 -1.1350000e-01 2.1170000e-01
+ 6.6400000e-02 -9.9930000e-01 -2.0650000e-01 7.2170000e-01
+ 7.4200000e-02 -1.0048000e+00 -1.3650000e-01 4.6420000e-01
+ 7.3500000e-02 -1.0174000e+00 -9.4500000e-02 2.8170000e-01
+ 6.1900000e-02 -1.1243000e+00 -1.8550000e-01 6.6920000e-01
+ 3.3900000e-02 -1.2704000e+00 -1.2350000e-01 5.0670000e-01
+ -4.1000000e-03 -1.4761000e+00 -4.7500000e-02 6.2920000e-01
+ -5.1200000e-02 -1.6788000e+00 2.1500000e-02 8.9920000e-01
+ -9.7300000e-02 -1.7716000e+00 1.6450000e-01 6.4670000e-01
+ -1.3410000e-01 -1.8061000e+00 1.8350000e-01 7.9420000e-01
+ -1.6950000e-01 -1.7935000e+00 1.6650000e-01 9.7170000e-01
+ -1.9880000e-01 -1.7171000e+00 2.6750000e-01 6.5170000e-01
+ -2.1070000e-01 -1.6368000e+00 3.2850000e-01 6.4170000e-01
+ -2.1190000e-01 -1.5489000e+00 3.3750000e-01 7.2670000e-01
+ -2.1230000e-01 -1.4181000e+00 3.6150000e-01 5.6170000e-01
+ -2.1720000e-01 -1.2714000e+00 3.4550000e-01 5.3420000e-01
+ -2.3190000e-01 -1.0671000e+00 3.3350000e-01 4.8170000e-01
+ -2.5580000e-01 -7.1230000e-01 3.6650000e-01 2.4670000e-01
+ -2.8380000e-01 -2.6690000e-01 4.3850000e-01 5.1700000e-02
+ -3.1230000e-01 1.5310000e-01 5.1950000e-01 -1.4830000e-01
+ -3.3900000e-01 5.2260000e-01 5.2150000e-01 -3.0080000e-01
+ -3.5760000e-01 8.5550000e-01 4.9850000e-01 -4.8080000e-01
+ -3.5830000e-01 1.1684000e+00 5.3450000e-01 -7.2330000e-01
+ -3.4360000e-01 1.4304000e+00 5.0850000e-01 -6.8830000e-01
+ -3.2330000e-01 1.6427000e+00 4.6250000e-01 -7.4830000e-01
+ -2.9320000e-01 1.8196000e+00 4.6850000e-01 -1.0258000e+00
+ -2.5340000e-01 1.8815000e+00 3.8350000e-01 -8.9330000e-01
+ -2.1640000e-01 1.8872000e+00 2.7950000e-01 -7.8830000e-01
+ -1.8160000e-01 1.9679000e+00 2.6950000e-01 -9.9830000e-01
+ -1.4230000e-01 2.0907000e+00 2.4850000e-01 -1.0408000e+00
+ -1.0810000e-01 2.2150000e+00 1.7150000e-01 -9.9330000e-01
+ -9.2300000e-02 2.2823000e+00 7.8500000e-02 -9.8830000e-01
+ -9.2600000e-02 2.2505000e+00 8.6500000e-02 -1.0533000e+00
+ -9.7400000e-02 2.2151000e+00 1.8150000e-01 -1.1133000e+00
+ -1.0330000e-01 2.1746000e+00 2.1050000e-01 -1.0133000e+00
+ -1.1300000e-01 2.0369000e+00 1.8950000e-01 -9.6830000e-01
+ -1.2610000e-01 1.8613000e+00 1.9050000e-01 -8.8580000e-01
+ -1.3770000e-01 1.7249000e+00 2.1850000e-01 -8.3580000e-01
+ -1.4030000e-01 1.5793000e+00 2.2850000e-01 -8.2080000e-01
+ -1.3100000e-01 1.4183000e+00 2.3450000e-01 -7.6830000e-01
+ -1.1800000e-01 1.2871000e+00 2.1650000e-01 -6.1330000e-01
+ -1.1020000e-01 1.1936000e+00 1.9550000e-01 -5.3830000e-01
+ -1.0150000e-01 1.1864000e+00 2.0750000e-01 -7.2830000e-01
+ -8.8600000e-02 1.2592000e+00 1.2750000e-01 -5.8330000e-01
+ -7.4900000e-02 1.3410000e+00 1.4850000e-01 -5.6580000e-01
+ -4.7000000e-02 1.4143000e+00 2.8950000e-01 -9.4580000e-01
+ -3.1000000e-03 1.4604000e+00 1.4650000e-01 -6.7330000e-01
+ 4.0200000e-02 1.5447000e+00 -4.3500000e-02 -6.0830000e-01
+ 8.7600000e-02 1.6959000e+00 -6.4500000e-02 -1.0383000e+00
+ 1.4120000e-01 1.7869000e+00 -1.5250000e-01 -8.0830000e-01
+ 1.8830000e-01 1.8245000e+00 -2.2550000e-01 -8.2080000e-01
+ 2.2520000e-01 1.8679000e+00 -3.2750000e-01 -9.9330000e-01
+ 2.4670000e-01 1.9045000e+00 -4.3950000e-01 -8.2080000e-01
+ 2.4690000e-01 1.9533000e+00 -4.5650000e-01 -9.0580000e-01
+ 2.3010000e-01 1.9731000e+00 -5.1350000e-01 -9.3080000e-01
+ 2.0340000e-01 1.9264000e+00 -4.8650000e-01 -9.2330000e-01
+ 1.6790000e-01 1.8261000e+00 -4.1250000e-01 -8.4580000e-01
+ 1.1910000e-01 1.7087000e+00 -3.9750000e-01 -7.0830000e-01
+ 5.7800000e-02 1.6395000e+00 -3.7650000e-01 -7.7580000e-01
+ -1.2000000e-02 1.5785000e+00 -3.3850000e-01 -6.7080000e-01
+ -8.6000000e-02 1.4653000e+00 -1.9250000e-01 -6.0080000e-01
+ -1.5150000e-01 1.3092000e+00 1.3500000e-02 -6.9580000e-01
+ -2.0080000e-01 1.0958000e+00 9.8500000e-02 -5.5830000e-01
+ -2.4180000e-01 8.4230000e-01 7.9500000e-02 -3.2580000e-01
+ -2.7930000e-01 5.8980000e-01 1.1150000e-01 -2.9080000e-01
+ -3.0530000e-01 3.0630000e-01 2.4450000e-01 -3.2080000e-01
+ -3.2320000e-01 -4.0200000e-02 2.7450000e-01 4.6700000e-02
+ -3.4600000e-01 -3.6420000e-01 2.8350000e-01 3.3170000e-01
+ -3.6020000e-01 -6.4860000e-01 4.8450000e-01 7.6700000e-02
+ -3.5100000e-01 -1.0138000e+00 5.6250000e-01 3.0670000e-01
+ -3.3650000e-01 -1.3782000e+00 4.0350000e-01 8.0920000e-01
+ -3.2850000e-01 -1.6311000e+00 3.7750000e-01 7.1920000e-01
+ -3.1770000e-01 -1.8760000e+00 4.7850000e-01 7.7420000e-01
+ -3.0250000e-01 -2.0846000e+00 5.2750000e-01 1.0067000e+00
+ -2.8610000e-01 -2.1696000e+00 4.7450000e-01 1.0042000e+00
+ -2.6320000e-01 -2.1988000e+00 4.3850000e-01 9.7420000e-01
+ -2.2800000e-01 -2.2098000e+00 4.7050000e-01 9.5670000e-01
+ -1.8350000e-01 -2.2121000e+00 3.8350000e-01 1.0492000e+00
+ -1.3430000e-01 -2.2346000e+00 2.3650000e-01 1.0167000e+00
+ -7.9900000e-02 -2.2940000e+00 2.0050000e-01 9.2670000e-01
+ -2.9600000e-02 -2.4018000e+00 1.4850000e-01 1.1567000e+00
+ 5.4000000e-03 -2.5377000e+00 2.6500000e-02 1.2892000e+00
+ 3.7900000e-02 -2.6953000e+00 -2.0500000e-02 1.1017000e+00
+ 8.5000000e-02 -2.8762000e+00 -1.5500000e-02 1.1667000e+00
+ 1.3650000e-01 -3.0209000e+00 -1.0450000e-01 1.4792000e+00
+ 1.7580000e-01 -3.0638000e+00 -2.8650000e-01 1.4992000e+00
+ 2.0690000e-01 -3.0199000e+00 -3.9750000e-01 1.3217000e+00
+ 2.3990000e-01 -2.9711000e+00 -3.7850000e-01 1.2517000e+00
+ 2.6870000e-01 -2.9543000e+00 -4.1250000e-01 1.3817000e+00
+ 2.8130000e-01 -2.9447000e+00 -4.6150000e-01 1.3142000e+00
+ 2.7370000e-01 -2.9591000e+00 -4.5750000e-01 1.2217000e+00
+ 2.3850000e-01 -3.0112000e+00 -4.5850000e-01 1.4592000e+00
+ 1.7780000e-01 -3.0317000e+00 -3.5350000e-01 1.3667000e+00
+ 1.1150000e-01 -2.9655000e+00 -1.8050000e-01 1.1367000e+00
+ 4.6900000e-02 -2.8414000e+00 -5.3500000e-02 1.2642000e+00
+ -2.5400000e-02 -2.7009000e+00 3.0500000e-02 1.2717000e+00
+ -1.0490000e-01 -2.5296000e+00 6.6500000e-02 1.1567000e+00
+ -1.7490000e-01 -2.2903000e+00 2.0050000e-01 8.8420000e-01
+ -2.2610000e-01 -2.0294000e+00 3.4850000e-01 7.6920000e-01
+ -2.7090000e-01 -1.8409000e+00 3.9650000e-01 9.2170000e-01
+ -3.1600000e-01 -1.7059000e+00 4.9250000e-01 6.5920000e-01
+ -3.5530000e-01 -1.5587000e+00 5.6450000e-01 5.5420000e-01
+ -3.8870000e-01 -1.4311000e+00 6.0650000e-01 6.4670000e-01
+ -4.1320000e-01 -1.3691000e+00 6.9150000e-01 4.7170000e-01
+ -4.2020000e-01 -1.3607000e+00 7.4650000e-01 4.9920000e-01
+ -4.0790000e-01 -1.3743000e+00 8.1650000e-01 5.2420000e-01
+ -3.7900000e-01 -1.3781000e+00 7.8850000e-01 4.8920000e-01
+ -3.3930000e-01 -1.3442000e+00 6.3550000e-01 5.7920000e-01
+ -2.9250000e-01 -1.2459000e+00 5.5550000e-01 4.8170000e-01
+ -2.3780000e-01 -1.1148000e+00 5.6950000e-01 3.4670000e-01
+ -1.8560000e-01 -9.9310000e-01 4.8250000e-01 4.6670000e-01
+ -1.4860000e-01 -8.1850000e-01 3.8050000e-01 3.7670000e-01
+ -1.2160000e-01 -5.8740000e-01 3.8850000e-01 7.1700000e-02
+ -1.0150000e-01 -3.8210000e-01 3.2350000e-01 1.6670000e-01
+ -8.9800000e-02 -1.7780000e-01 2.8550000e-01 6.6700000e-02
+ -7.1200000e-02 3.4600000e-02 3.3550000e-01 -2.8580000e-01
+ -3.7900000e-02 2.0850000e-01 3.1750000e-01 -2.4830000e-01
+ -2.7000000e-03 3.7720000e-01 2.0650000e-01 -2.3330000e-01
+ 2.3600000e-02 5.6550000e-01 1.7500000e-02 -3.4580000e-01
+ 4.3800000e-02 7.3290000e-01 -4.4500000e-02 -4.7330000e-01
+ 6.3500000e-02 8.2530000e-01 2.2500000e-02 -5.4330000e-01
+ 8.0100000e-02 8.6490000e-01 4.5000000e-03 -4.6330000e-01
+ 9.0300000e-02 9.3080000e-01 -1.1500000e-02 -6.1330000e-01
+ 9.0100000e-02 1.0208000e+00 -8.7500000e-02 -5.2580000e-01
+ 7.4400000e-02 1.1279000e+00 -1.1850000e-01 -4.9330000e-01
+ 5.5800000e-02 1.2299000e+00 -1.1500000e-02 -8.2330000e-01
+ 4.0800000e-02 1.2587000e+00 -5.0000000e-04 -6.2330000e-01
+ 1.9100000e-02 1.2574000e+00 3.8500000e-02 -5.4330000e-01
+ -6.3000000e-03 1.2484000e+00 7.8500000e-02 -7.1580000e-01
+ -2.5500000e-02 1.1921000e+00 2.0500000e-02 -5.9330000e-01
+ -3.3600000e-02 1.1108000e+00 4.2500000e-02 -6.8080000e-01
+ -3.5700000e-02 9.9840000e-01 1.3500000e-02 -4.8830000e-01
+ -4.1500000e-02 8.9080000e-01 1.5500000e-02 -3.5830000e-01
+ -4.1600000e-02 8.4480000e-01 9.6500000e-02 -6.1580000e-01
+ -2.9100000e-02 8.0260000e-01 2.6500000e-02 -4.2330000e-01
+ -1.3500000e-02 7.5600000e-01 -5.2500000e-02 -2.9580000e-01
+ 6.4000000e-03 7.4060000e-01 -1.9500000e-02 -4.9580000e-01
+ 3.4700000e-02 7.3670000e-01 -1.6500000e-02 -4.2080000e-01
+ 6.3300000e-02 7.9390000e-01 -9.4500000e-02 -3.2330000e-01
+ 9.1200000e-02 9.5790000e-01 -1.1950000e-01 -5.6580000e-01
+ 1.2250000e-01 1.1168000e+00 -1.2150000e-01 -6.2830000e-01
+ 1.4800000e-01 1.1866000e+00 -2.0550000e-01 -4.5080000e-01
+ 1.6620000e-01 1.2186000e+00 -1.8750000e-01 -7.0830000e-01
+ 1.8510000e-01 1.2276000e+00 -2.0650000e-01 -7.0580000e-01
+ 1.9960000e-01 1.2388000e+00 -2.6050000e-01 -4.6330000e-01
+ 2.1310000e-01 1.3063000e+00 -2.1950000e-01 -7.8580000e-01
+ 2.3230000e-01 1.3793000e+00 -3.4850000e-01 -6.3330000e-01
+ 2.5580000e-01 1.4242000e+00 -3.9750000e-01 -6.0830000e-01
+ 2.9370000e-01 1.4094000e+00 -3.5550000e-01 -9.1330000e-01
+ 3.3920000e-01 1.2810000e+00 -5.4750000e-01 -4.5830000e-01
+ 3.7570000e-01 1.1218000e+00 -6.7450000e-01 -4.4830000e-01
+ 4.1030000e-01 9.7460000e-01 -7.2250000e-01 -6.5080000e-01
+ 4.4410000e-01 8.0900000e-01 -8.0850000e-01 -2.8080000e-01
+ 4.7100000e-01 6.6120000e-01 -8.1950000e-01 -3.2580000e-01
+ 4.9310000e-01 5.2910000e-01 -8.9750000e-01 -3.2080000e-01
+ 5.0520000e-01 4.5000000e-01 -9.7350000e-01 -1.6080000e-01
+ 4.9690000e-01 4.8250000e-01 -1.0065000e+00 -2.0580000e-01
+ 4.6400000e-01 5.5710000e-01 -1.0395000e+00 -1.7830000e-01
+ 4.1340000e-01 6.0070000e-01 -9.2250000e-01 -3.3580000e-01
+ 3.5250000e-01 5.6950000e-01 -7.7050000e-01 -2.7330000e-01
+ 2.8080000e-01 4.7080000e-01 -6.6250000e-01 -1.6830000e-01
+ 2.0380000e-01 3.8500000e-01 -5.8250000e-01 -2.3830000e-01
+ 1.3300000e-01 3.3290000e-01 -4.9050000e-01 -1.8080000e-01
+ 8.0000000e-02 2.9640000e-01 -3.3150000e-01 -2.7830000e-01
+ 4.9900000e-02 2.1540000e-01 -2.5850000e-01 -2.1580000e-01
+ 3.5600000e-02 5.0100000e-02 -2.9450000e-01 1.7000000e-03
+ 3.4500000e-02 -1.2250000e-01 -2.4250000e-01 -1.6330000e-01
+ 4.2400000e-02 -2.9630000e-01 -2.5550000e-01 4.1700000e-02
+ 4.5400000e-02 -4.3290000e-01 -3.1850000e-01 2.4670000e-01
+ 4.5900000e-02 -4.0410000e-01 -2.4550000e-01 -4.0800000e-02
+ 5.0100000e-02 -2.7960000e-01 -1.7850000e-01 8.6700000e-02
+ 5.6200000e-02 -1.3940000e-01 -1.2450000e-01 3.9200000e-02
+ 7.0800000e-02 2.6000000e-03 -1.0950000e-01 -2.2330000e-01
+ 9.2100000e-02 1.0000000e-01 -2.2350000e-01 2.4200000e-02
+ 1.1730000e-01 2.7550000e-01 -1.9850000e-01 -2.2080000e-01
+ 1.5740000e-01 5.5620000e-01 -1.5050000e-01 -5.5580000e-01
+ 2.0340000e-01 7.6630000e-01 -3.0050000e-01 -3.2330000e-01
+ 2.3450000e-01 8.6960000e-01 -3.9950000e-01 -4.5080000e-01
+ 2.4660000e-01 8.6810000e-01 -4.3050000e-01 -5.1830000e-01
+ 2.4260000e-01 8.1350000e-01 -4.3650000e-01 -4.0330000e-01
+ 2.2940000e-01 8.3750000e-01 -3.9550000e-01 -5.3830000e-01
+ 2.1170000e-01 9.1950000e-01 -3.8650000e-01 -4.6330000e-01
+ 1.8890000e-01 1.0417000e+00 -3.4150000e-01 -5.2580000e-01
+ 1.6150000e-01 1.2338000e+00 -3.4150000e-01 -6.7580000e-01
+ 1.2600000e-01 1.4168000e+00 -4.0650000e-01 -6.5080000e-01
+ 8.1000000e-02 1.5369000e+00 -3.5050000e-01 -7.7080000e-01
+ 3.4200000e-02 1.5810000e+00 -1.6150000e-01 -8.5580000e-01
+ -9.1000000e-03 1.5314000e+00 -2.2500000e-02 -8.0830000e-01
+ -5.0300000e-02 1.4241000e+00 -2.8500000e-02 -7.2830000e-01
+ -8.7600000e-02 1.2739000e+00 4.5000000e-03 -7.2080000e-01
+ -1.1410000e-01 1.0825000e+00 9.6500000e-02 -7.0080000e-01
+ -1.3080000e-01 9.1300000e-01 1.3450000e-01 -5.6080000e-01
+ -1.4460000e-01 7.9450000e-01 1.3850000e-01 -5.1080000e-01
+ -1.6080000e-01 7.1830000e-01 1.4250000e-01 -4.8330000e-01
+ -1.8460000e-01 7.1850000e-01 1.8550000e-01 -4.5080000e-01
+ -2.1690000e-01 7.9080000e-01 2.3550000e-01 -5.1330000e-01
+ -2.5020000e-01 8.5770000e-01 2.9850000e-01 -5.8330000e-01
+ -2.7470000e-01 8.5710000e-01 4.5050000e-01 -6.6330000e-01
+ -2.9110000e-01 7.9650000e-01 5.1450000e-01 -5.3580000e-01
+ -3.0550000e-01 7.0700000e-01 5.1250000e-01 -5.0080000e-01
+ -3.1530000e-01 5.4600000e-01 5.2050000e-01 -5.5830000e-01
+ -3.2420000e-01 2.9870000e-01 4.8750000e-01 -2.3830000e-01
+ -3.3920000e-01 7.0600000e-02 5.7950000e-01 -1.5830000e-01
+ -3.5280000e-01 -7.1000000e-02 6.8750000e-01 -2.4330000e-01
+ -3.6490000e-01 -1.7590000e-01 6.4850000e-01 2.1700000e-02
+ -3.8270000e-01 -3.1880000e-01 6.3350000e-01 1.1420000e-01
+ -3.9870000e-01 -5.0330000e-01 7.0050000e-01 1.4200000e-02
+ -4.0610000e-01 -6.9320000e-01 7.1850000e-01 2.1920000e-01
+ -4.1070000e-01 -8.7360000e-01 7.0150000e-01 4.3170000e-01
+ -4.0890000e-01 -1.0089000e+00 7.3950000e-01 3.1920000e-01
+ -3.9420000e-01 -1.1045000e+00 7.0750000e-01 4.1670000e-01
+ -3.7380000e-01 -1.2074000e+00 5.8350000e-01 6.1920000e-01
+ -3.4900000e-01 -1.3199000e+00 5.0750000e-01 5.0670000e-01
+ -3.1250000e-01 -1.4543000e+00 4.7850000e-01 5.4920000e-01
+ -2.6850000e-01 -1.5904000e+00 4.4250000e-01 6.6670000e-01
+ -2.3240000e-01 -1.6779000e+00 2.8050000e-01 7.6670000e-01
+ -2.1770000e-01 -1.7222000e+00 1.2150000e-01 8.8170000e-01
+ -2.1770000e-01 -1.7124000e+00 2.0350000e-01 6.5170000e-01
+ -2.1910000e-01 -1.6440000e+00 2.9450000e-01 6.0170000e-01
+ -2.2620000e-01 -1.5442000e+00 2.7250000e-01 7.3420000e-01
+ -2.4460000e-01 -1.4283000e+00 2.7250000e-01 5.9670000e-01
+ -2.6750000e-01 -1.3620000e+00 3.1450000e-01 5.3920000e-01
+ -2.8520000e-01 -1.3847000e+00 3.8150000e-01 5.2420000e-01
+ -2.9150000e-01 -1.4221000e+00 3.8850000e-01 5.4420000e-01
+ -2.8590000e-01 -1.4241000e+00 3.9550000e-01 6.1420000e-01
+ -2.6620000e-01 -1.4117000e+00 4.3450000e-01 5.8170000e-01
+ -2.2610000e-01 -1.4121000e+00 3.7950000e-01 5.0920000e-01
+ -1.6810000e-01 -1.4674000e+00 1.8750000e-01 5.9670000e-01
+ -1.0670000e-01 -1.5856000e+00 2.5000000e-03 7.9670000e-01
+ -4.8400000e-02 -1.7123000e+00 1.0500000e-02 7.0170000e-01
+ 5.5000000e-03 -1.8149000e+00 -2.7500000e-02 7.8920000e-01
+ 4.4100000e-02 -1.8852000e+00 -1.7550000e-01 1.0267000e+00
+ 6.6200000e-02 -1.9856000e+00 -1.7750000e-01 8.4170000e-01
+ 7.6900000e-02 -2.2193000e+00 -1.2350000e-01 1.0092000e+00
+ 6.9000000e-02 -2.4788000e+00 -1.0950000e-01 1.2917000e+00
+ 4.3300000e-02 -2.5547000e+00 -1.0750000e-01 1.1892000e+00
+ 1.2100000e-02 -2.4502000e+00 -5.1500000e-02 1.1292000e+00
+ -1.6300000e-02 -2.3174000e+00 6.9500000e-02 1.0167000e+00
+ -4.3100000e-02 -2.2535000e+00 3.5500000e-02 1.0567000e+00
+ -6.9000000e-02 -2.2237000e+00 -8.5000000e-03 1.0267000e+00
+ -8.3000000e-02 -2.1826000e+00 9.0500000e-02 8.2170000e-01
+ -8.0200000e-02 -2.1610000e+00 1.2450000e-01 9.7170000e-01
+ -6.4400000e-02 -2.1314000e+00 8.9500000e-02 8.9420000e-01
+ -3.8900000e-02 -2.0083000e+00 -2.3500000e-02 7.7670000e-01
+ -1.4400000e-02 -1.7807000e+00 -9.2500000e-02 8.1170000e-01
+ 3.9000000e-03 -1.5045000e+00 -5.5500000e-02 5.1670000e-01
+ 1.8100000e-02 -1.2185000e+00 -9.7500000e-02 3.9670000e-01
+ 2.5700000e-02 -9.1350000e-01 -1.0550000e-01 2.9170000e-01
+ 2.5300000e-02 -5.9010000e-01 -4.0500000e-02 1.9200000e-02
+ 1.1900000e-02 -2.8040000e-01 -4.0500000e-02 -2.0800000e-02
+ -2.2300000e-02 2.8400000e-02 -5.2500000e-02 -1.1830000e-01
+ -7.2200000e-02 3.6680000e-01 3.7500000e-02 -3.6580000e-01
+ -1.2480000e-01 6.9310000e-01 2.1850000e-01 -5.4330000e-01
+ -1.7620000e-01 9.8260000e-01 3.2550000e-01 -5.9830000e-01
+ -2.2790000e-01 1.2387000e+00 3.5050000e-01 -7.4080000e-01
+ -2.8010000e-01 1.4081000e+00 3.5950000e-01 -7.7830000e-01
+ -3.3130000e-01 1.4824000e+00 4.3850000e-01 -7.6330000e-01
+ -3.7140000e-01 1.4586000e+00 5.7050000e-01 -8.4830000e-01
+ -3.9400000e-01 1.3294000e+00 5.9150000e-01 -6.9080000e-01
+ -4.0580000e-01 1.2356000e+00 5.9150000e-01 -5.7330000e-01
+ -4.1240000e-01 1.2560000e+00 5.9650000e-01 -6.1080000e-01
+ -4.1230000e-01 1.3012000e+00 5.4050000e-01 -5.9080000e-01
+ -3.9880000e-01 1.2608000e+00 5.5350000e-01 -6.9830000e-01
+ -3.7520000e-01 1.0714000e+00 5.2550000e-01 -4.7330000e-01
+ -3.5630000e-01 8.4910000e-01 5.2150000e-01 -2.6580000e-01
+ -3.4280000e-01 6.7760000e-01 5.8050000e-01 -4.0830000e-01
+ -3.3370000e-01 4.6900000e-01 4.9250000e-01 -1.1580000e-01
+ -3.3370000e-01 2.5710000e-01 5.0050000e-01 1.1700000e-02
+ -3.3160000e-01 9.9800000e-02 6.3450000e-01 -1.2080000e-01
+ -3.1400000e-01 -2.7500000e-02 7.0250000e-01 -4.5800000e-02
+ -2.8480000e-01 -1.3380000e-01 6.4550000e-01 3.1700000e-02
+ -2.5750000e-01 -2.5280000e-01 4.6250000e-01 1.9670000e-01
+ -2.3420000e-01 -3.6850000e-01 4.3650000e-01 9.1700000e-02
+ -2.0830000e-01 -4.7700000e-01 4.6650000e-01 7.6700000e-02
+ -1.8750000e-01 -6.0380000e-01 3.6950000e-01 3.9420000e-01
+ -1.7670000e-01 -6.8910000e-01 3.6450000e-01 2.7670000e-01
+ -1.6470000e-01 -7.2740000e-01 4.2250000e-01 1.3420000e-01
+ -1.4960000e-01 -7.5680000e-01 3.6850000e-01 2.6420000e-01
+ -1.4270000e-01 -8.1460000e-01 2.3150000e-01 3.7670000e-01
+ -1.4380000e-01 -9.2730000e-01 2.2850000e-01 3.5170000e-01
+ -1.3840000e-01 -1.0284000e+00 4.1050000e-01 2.1170000e-01
+ -1.2490000e-01 -1.1491000e+00 4.1850000e-01 4.7170000e-01
+ -1.1470000e-01 -1.3249000e+00 2.6650000e-01 6.9170000e-01
+ -9.8900000e-02 -1.4528000e+00 2.7950000e-01 4.8670000e-01
+ -6.1900000e-02 -1.5434000e+00 3.5250000e-01 5.6670000e-01
+ -8.1000000e-03 -1.6087000e+00 2.6150000e-01 7.2420000e-01
+ 5.0700000e-02 -1.6067000e+00 8.5500000e-02 6.6920000e-01
+ 1.0510000e-01 -1.5640000e+00 -4.0500000e-02 7.3170000e-01
+ 1.4820000e-01 -1.4225000e+00 -7.9500000e-02 6.4920000e-01
+ 1.8040000e-01 -1.1516000e+00 -1.5050000e-01 4.2670000e-01
+ 2.0270000e-01 -8.0820000e-01 -2.6350000e-01 3.4920000e-01
+ 2.1350000e-01 -4.1650000e-01 -2.3750000e-01 1.1920000e-01
+ 2.1480000e-01 -3.8300000e-02 -1.7450000e-01 -1.1080000e-01
+ 2.0760000e-01 3.1440000e-01 -3.0450000e-01 -1.4330000e-01
+ 2.0040000e-01 6.2440000e-01 -3.4150000e-01 -4.1080000e-01
+ 2.1100000e-01 7.9090000e-01 -2.1050000e-01 -6.5830000e-01
+ 2.3610000e-01 8.2130000e-01 -2.2950000e-01 -3.8330000e-01
+ 2.6020000e-01 7.6200000e-01 -3.4950000e-01 -3.5330000e-01
+ 2.8410000e-01 6.1440000e-01 -4.3950000e-01 -4.7830000e-01
+ 3.0560000e-01 4.2090000e-01 -4.8350000e-01 -1.6830000e-01
+ 3.1760000e-01 2.0840000e-01 -4.5350000e-01 -7.8300000e-02
+ 3.2500000e-01 -4.0700000e-02 -4.6950000e-01 -7.8300000e-02
+ 3.2870000e-01 -3.3280000e-01 -5.0050000e-01 1.7920000e-01
+ 3.1870000e-01 -6.2660000e-01 -5.0850000e-01 4.1170000e-01
+ 2.9610000e-01 -8.8940000e-01 -5.1950000e-01 4.6170000e-01
+ 2.7400000e-01 -1.0959000e+00 -4.9950000e-01 4.4920000e-01
+ 2.5420000e-01 -1.1684000e+00 -4.7950000e-01 6.4670000e-01
+ 2.3210000e-01 -1.0800000e+00 -3.8950000e-01 5.5420000e-01
+ 2.1100000e-01 -8.8080000e-01 -3.4950000e-01 3.0670000e-01
+ 1.9000000e-01 -6.4150000e-01 -3.9650000e-01 3.1670000e-01
+ 1.6820000e-01 -4.7530000e-01 -3.0050000e-01 4.6700000e-02
+ 1.4580000e-01 -4.4140000e-01 -2.0550000e-01 9.1700000e-02
+ 1.1630000e-01 -4.3860000e-01 -1.4250000e-01 2.6170000e-01
+ 8.9100000e-02 -3.7330000e-01 4.5000000e-03 -9.3300000e-02
+ 7.6000000e-02 -3.2170000e-01 4.1500000e-02 -4.0800000e-02
+ 6.6900000e-02 -3.0100000e-01 -1.3500000e-02 1.4670000e-01
+ 5.6000000e-02 -2.1670000e-01 -3.0500000e-02 -7.0800000e-02
+ 4.7600000e-02 -1.0600000e-01 -4.0500000e-02 -4.5800000e-02
+ 4.5800000e-02 -2.3000000e-02 3.5000000e-03 -1.2080000e-01
+ 5.4000000e-02 1.5500000e-02 -8.5000000e-03 -1.7330000e-01
+ 6.6800000e-02 -1.4700000e-02 -1.0050000e-01 1.1700000e-02
+ 7.9200000e-02 -3.9800000e-02 -1.4250000e-01 -5.0800000e-02
+ 9.3300000e-02 -3.4700000e-02 -1.7350000e-01 -5.0800000e-02
+ 1.0890000e-01 -3.7400000e-02 -2.0450000e-01 -2.8300000e-02
+ 1.1950000e-01 -3.8000000e-02 -2.6250000e-01 2.9200000e-02
+ 1.1950000e-01 -1.7900000e-02 -2.7250000e-01 2.6700000e-02
+ 1.1100000e-01 6.7300000e-02 -2.3350000e-01 -1.4830000e-01
+ 9.1600000e-02 2.1590000e-01 -2.8650000e-01 -3.8300000e-02
+ 5.9600000e-02 3.9600000e-01 -2.4050000e-01 -1.7330000e-01
+ 2.6700000e-02 6.0760000e-01 -1.0250000e-01 -4.3330000e-01
+ -1.7000000e-03 8.5190000e-01 -3.9500000e-02 -3.8830000e-01
+ -2.4800000e-02 1.1211000e+00 1.5000000e-03 -6.5330000e-01
+ -4.1400000e-02 1.3389000e+00 -4.1500000e-02 -6.8330000e-01
+ -5.0500000e-02 1.4805000e+00 -1.4500000e-02 -7.2080000e-01
+ -4.1800000e-02 1.5473000e+00 7.8500000e-02 -1.0008000e+00
+ -1.8200000e-02 1.5086000e+00 -4.6500000e-02 -7.1580000e-01
+ 4.7000000e-03 1.4786000e+00 -1.4550000e-01 -6.8580000e-01
+ 2.8600000e-02 1.4618000e+00 -1.1350000e-01 -8.9330000e-01
+ 5.4400000e-02 1.3645000e+00 -1.5250000e-01 -6.7330000e-01
+ 7.3500000e-02 1.2553000e+00 -1.9450000e-01 -6.5830000e-01
+ 8.0400000e-02 1.1186000e+00 -2.2850000e-01 -5.4330000e-01
+ 7.6800000e-02 9.3360000e-01 -1.3450000e-01 -4.4830000e-01
+ 7.0000000e-02 7.6480000e-01 -3.5500000e-02 -4.3330000e-01
+ 6.4200000e-02 5.9640000e-01 -6.1500000e-02 -2.5830000e-01
+ 6.0800000e-02 4.2080000e-01 -4.9500000e-02 -2.2580000e-01
+ 6.0200000e-02 2.3070000e-01 -1.5500000e-02 -4.0800000e-02
+ 6.5900000e-02 5.1400000e-02 4.3500000e-02 -4.3300000e-02
+ 8.2000000e-02 -9.4500000e-02 1.0500000e-02 -5.8300000e-02
+ 9.5600000e-02 -2.2560000e-01 -1.2350000e-01 2.6670000e-01
+ 9.4800000e-02 -2.8070000e-01 -1.0550000e-01 1.7170000e-01
+ 8.6800000e-02 -2.9450000e-01 -5.1500000e-02 3.6700000e-02
+ 7.5400000e-02 -3.4940000e-01 -8.2500000e-02 1.9420000e-01
+ 5.7400000e-02 -4.0330000e-01 -8.1500000e-02 1.8670000e-01
+ 3.5700000e-02 -4.5870000e-01 -1.1500000e-02 1.7170000e-01
+ 1.5600000e-02 -5.3460000e-01 5.0500000e-02 1.8670000e-01
+ -2.3000000e-03 -6.2370000e-01 1.3500000e-02 3.0170000e-01
+ -1.6500000e-02 -7.2280000e-01 5.2500000e-02 2.7170000e-01
+ -2.3000000e-02 -7.9280000e-01 1.6050000e-01 2.4170000e-01
+ -2.8400000e-02 -8.2190000e-01 1.6150000e-01 4.6420000e-01
+ -3.2700000e-02 -8.0360000e-01 1.6250000e-01 2.9170000e-01
+ -2.1000000e-02 -7.4660000e-01 1.9150000e-01 1.5670000e-01
+ 1.1100000e-02 -7.2420000e-01 2.0050000e-01 3.0420000e-01
+ 5.9200000e-02 -7.5730000e-01 1.4650000e-01 2.6670000e-01
+ 1.2310000e-01 -7.8440000e-01 -9.5000000e-03 2.4670000e-01
+ 1.9990000e-01 -7.7940000e-01 -1.3750000e-01 2.6920000e-01
+ 2.8040000e-01 -7.5130000e-01 -2.8250000e-01 3.1170000e-01
+ 3.5600000e-01 -6.7740000e-01 -4.3150000e-01 2.4670000e-01
+ 4.1980000e-01 -5.8540000e-01 -5.6250000e-01 2.2420000e-01
+ 4.6500000e-01 -5.2770000e-01 -6.6850000e-01 3.2420000e-01
+ 4.9750000e-01 -4.8880000e-01 -6.6750000e-01 1.6420000e-01
+ 5.3290000e-01 -4.8560000e-01 -6.7050000e-01 9.6700000e-02
+ 5.7140000e-01 -5.2860000e-01 -7.5350000e-01 2.2920000e-01
+ 5.9740000e-01 -5.5280000e-01 -8.8350000e-01 3.7170000e-01
+ 6.0360000e-01 -5.2370000e-01 -9.2850000e-01 3.5420000e-01
+ 6.0180000e-01 -4.5130000e-01 -8.5450000e-01 1.4170000e-01
+ 5.9950000e-01 -3.4140000e-01 -8.3950000e-01 2.0670000e-01
+ 5.9160000e-01 -2.0100000e-01 -8.2050000e-01 1.9420000e-01
+ 5.7540000e-01 -6.2600000e-02 -8.0650000e-01 8.9200000e-02
+ 5.5420000e-01 4.7000000e-02 -8.1550000e-01 9.6700000e-02
+ 5.3750000e-01 9.6300000e-02 -7.7750000e-01 -8.0800000e-02
+ 5.3060000e-01 6.3700000e-02 -8.0450000e-01 3.6700000e-02
+ 5.2960000e-01 6.5000000e-03 -7.7950000e-01 4.9200000e-02
+ 5.3190000e-01 -8.2100000e-02 -7.7850000e-01 -2.0800000e-02
+ 5.2390000e-01 -2.3300000e-01 -9.2850000e-01 2.7670000e-01
+ 4.9110000e-01 -3.5340000e-01 -9.8750000e-01 2.4920000e-01
+ 4.3680000e-01 -4.0410000e-01 -9.1350000e-01 2.7670000e-01
+ 3.7740000e-01 -4.3960000e-01 -6.9650000e-01 2.3170000e-01
+ 3.2990000e-01 -5.1890000e-01 -5.0850000e-01 1.6170000e-01
+ 2.9460000e-01 -5.8760000e-01 -5.2850000e-01 4.6170000e-01
+ 2.7320000e-01 -5.1180000e-01 -4.4950000e-01 1.9170000e-01
+ 2.7350000e-01 -3.6760000e-01 -4.3350000e-01 1.0920000e-01
+ 2.8970000e-01 -2.4880000e-01 -4.8750000e-01 2.3170000e-01
+ 3.1880000e-01 -1.1070000e-01 -4.4450000e-01 -7.5800000e-02
+ 3.5800000e-01 3.1000000e-02 -4.6550000e-01 3.6700000e-02
+ 3.9990000e-01 2.0990000e-01 -4.8250000e-01 -9.3300000e-02
+ 4.4160000e-01 4.5370000e-01 -6.3050000e-01 -2.7080000e-01
+ 4.7580000e-01 6.7440000e-01 -8.0750000e-01 -1.5330000e-01
+ 5.0330000e-01 8.1670000e-01 -7.2350000e-01 -5.0580000e-01
+ 5.2490000e-01 8.8120000e-01 -7.3850000e-01 -3.7830000e-01
+ 5.3020000e-01 9.2260000e-01 -8.1150000e-01 -2.8580000e-01
+ 5.2130000e-01 9.5720000e-01 -8.1950000e-01 -5.7830000e-01
+ 4.9670000e-01 9.5280000e-01 -8.7250000e-01 -2.4830000e-01
+ 4.5350000e-01 9.5630000e-01 -7.6850000e-01 -3.8080000e-01
+ 4.0220000e-01 9.9230000e-01 -6.6850000e-01 -5.2580000e-01
+ 3.4350000e-01 1.0462000e+00 -6.2050000e-01 -2.4330000e-01
+ 2.8160000e-01 1.1181000e+00 -4.3650000e-01 -5.5080000e-01
+ 2.2760000e-01 1.1811000e+00 -3.6850000e-01 -5.8580000e-01
+ 1.7520000e-01 1.2622000e+00 -3.7650000e-01 -4.5080000e-01
+ 1.1880000e-01 1.4145000e+00 -3.0250000e-01 -6.8080000e-01
+ 6.2400000e-02 1.5738000e+00 -1.9750000e-01 -7.0830000e-01
+ 1.1800000e-02 1.6516000e+00 -6.4500000e-02 -8.3580000e-01
+ -3.3300000e-02 1.6513000e+00 -6.2500000e-02 -8.3830000e-01
+ -8.2600000e-02 1.5769000e+00 -1.0650000e-01 -6.1580000e-01
+ -1.3180000e-01 1.4702000e+00 1.2500000e-02 -7.8330000e-01
+ -1.6700000e-01 1.4121000e+00 1.1150000e-01 -7.9080000e-01
+ -1.9170000e-01 1.3594000e+00 9.8500000e-02 -5.4330000e-01
+ -2.1250000e-01 1.2994000e+00 1.2950000e-01 -6.1080000e-01
+ -2.2490000e-01 1.2767000e+00 2.4150000e-01 -6.8330000e-01
+ -2.3190000e-01 1.2354000e+00 2.7950000e-01 -5.2830000e-01
+ -2.4300000e-01 1.1914000e+00 2.6650000e-01 -4.9580000e-01
+ -2.5980000e-01 1.1599000e+00 3.6150000e-01 -5.6080000e-01
+ -2.8180000e-01 1.0552000e+00 4.9150000e-01 -4.0080000e-01
+ -3.0760000e-01 8.9830000e-01 5.7650000e-01 -2.8330000e-01
+ -3.2100000e-01 7.4770000e-01 6.5350000e-01 -4.0830000e-01
+ -3.1010000e-01 6.1460000e-01 6.7650000e-01 -3.3830000e-01
+ -2.9000000e-01 5.1630000e-01 5.6250000e-01 6.7000000e-03
+ -2.7230000e-01 4.5570000e-01 4.5750000e-01 -6.8300000e-02
+ -2.4650000e-01 3.8690000e-01 4.0350000e-01 -2.2330000e-01
+ -2.0990000e-01 2.4990000e-01 3.4950000e-01 9.2000000e-03
+ -1.7390000e-01 1.0370000e-01 3.0550000e-01 2.6700000e-02
+ -1.5120000e-01 1.1900000e-02 1.6950000e-01 1.5170000e-01
+ -1.4840000e-01 -5.1900000e-02 8.0500000e-02 2.8420000e-01
+ -1.5100000e-01 -6.9900000e-02 2.0450000e-01 -5.3300000e-02
+ -1.4950000e-01 -5.7500000e-02 2.4850000e-01 5.1700000e-02
+ -1.5720000e-01 -4.9400000e-02 2.2050000e-01 2.8670000e-01
+ -1.7150000e-01 -6.1200000e-02 3.3550000e-01 -6.5800000e-02
+ -1.8100000e-01 -1.3910000e-01 3.7150000e-01 4.4200000e-02
+ -1.9160000e-01 -2.3170000e-01 3.2550000e-01 2.3670000e-01
+ -2.0450000e-01 -3.0660000e-01 3.3750000e-01 8.4200000e-02
+ -2.1520000e-01 -4.0150000e-01 3.6250000e-01 2.1670000e-01
+ -2.2280000e-01 -5.1040000e-01 4.3150000e-01 2.2920000e-01
+ -2.2640000e-01 -6.6690000e-01 3.6950000e-01 2.8170000e-01
+ -2.3220000e-01 -8.3040000e-01 2.0350000e-01 5.2170000e-01
+ -2.4240000e-01 -9.2020000e-01 2.1150000e-01 4.9920000e-01
+ -2.4380000e-01 -9.5490000e-01 3.0450000e-01 3.7420000e-01
+ -2.2880000e-01 -9.2320000e-01 2.7350000e-01 3.7920000e-01
+ -2.0760000e-01 -8.6490000e-01 1.5050000e-01 5.1420000e-01
+ -1.8810000e-01 -8.2260000e-01 1.3450000e-01 4.1420000e-01
+ -1.6700000e-01 -7.4090000e-01 1.6150000e-01 2.6170000e-01
+ -1.4510000e-01 -6.4250000e-01 1.0150000e-01 3.6170000e-01
+ -1.2300000e-01 -5.6380000e-01 1.2750000e-01 1.9170000e-01
+ -9.8400000e-02 -5.3630000e-01 2.1950000e-01 1.4920000e-01
+ -8.0300000e-02 -5.9530000e-01 1.9450000e-01 3.9170000e-01
+ -7.2900000e-02 -6.5550000e-01 1.0850000e-01 3.2670000e-01
+ -6.3200000e-02 -6.8650000e-01 1.1450000e-01 1.7170000e-01
+ -4.8900000e-02 -7.2490000e-01 1.4850000e-01 3.4420000e-01
+ -4.3900000e-02 -7.0280000e-01 9.9500000e-02 4.7170000e-01
+ -4.5100000e-02 -6.0420000e-01 6.2500000e-02 2.1170000e-01
+ -4.0600000e-02 -5.2690000e-01 2.4500000e-02 1.3670000e-01
+ -3.8300000e-02 -4.8940000e-01 -4.3500000e-02 3.3920000e-01
+ -4.8500000e-02 -4.4380000e-01 -4.5500000e-02 2.0670000e-01
+ -6.7900000e-02 -4.3310000e-01 -3.9500000e-02 2.0420000e-01
+ -8.9500000e-02 -4.7680000e-01 4.4500000e-02 2.2170000e-01
+ -1.0770000e-01 -4.9580000e-01 1.2650000e-01 8.1700000e-02
+ -1.3290000e-01 -4.9510000e-01 2.7500000e-02 3.7170000e-01
+ -1.7370000e-01 -5.2210000e-01 4.4500000e-02 3.2170000e-01
+ -2.1320000e-01 -5.7390000e-01 2.1650000e-01 7.4200000e-02
+ -2.4030000e-01 -6.5890000e-01 2.8950000e-01 3.2670000e-01
+ -2.5750000e-01 -7.5920000e-01 3.1650000e-01 3.4420000e-01
+ -2.6390000e-01 -8.2950000e-01 2.8850000e-01 3.4170000e-01
+ -2.5940000e-01 -8.8650000e-01 2.7750000e-01 3.9920000e-01
+ -2.4400000e-01 -9.9620000e-01 2.6050000e-01 3.3670000e-01
+ -2.2670000e-01 -1.1301000e+00 9.8500000e-02 6.1670000e-01
+ -2.1830000e-01 -1.1910000e+00 6.5500000e-02 6.4170000e-01
+ -2.1230000e-01 -1.1804000e+00 1.7350000e-01 4.1920000e-01
+ -2.0630000e-01 -1.1308000e+00 1.1450000e-01 5.3670000e-01
+ -2.1030000e-01 -1.0522000e+00 -1.3500000e-02 6.2920000e-01
+ -2.1770000e-01 -9.7230000e-01 5.9500000e-02 3.8670000e-01
+ -2.0850000e-01 -8.9740000e-01 2.2950000e-01 2.3170000e-01
+ -1.8160000e-01 -8.5200000e-01 1.9050000e-01 4.0170000e-01
+ -1.4710000e-01 -8.5410000e-01 7.1500000e-02 3.9170000e-01
+ -1.0480000e-01 -8.6220000e-01 6.1500000e-02 2.5920000e-01
+ -5.7600000e-02 -8.4630000e-01 6.1500000e-02 3.7670000e-01
+ -1.3600000e-02 -8.1920000e-01 -1.8500000e-02 3.3920000e-01
+ 2.3500000e-02 -7.7880000e-01 -1.4150000e-01 3.2920000e-01
+ 5.5100000e-02 -7.0210000e-01 -1.0950000e-01 2.8670000e-01
+ 8.5600000e-02 -6.4670000e-01 -6.7500000e-02 1.6670000e-01
+ 1.1200000e-01 -6.4490000e-01 -2.7050000e-01 3.2170000e-01
+ 1.2970000e-01 -6.2910000e-01 -4.1150000e-01 2.3920000e-01
+ 1.4330000e-01 -6.0980000e-01 -3.7550000e-01 1.1670000e-01
+ 1.4930000e-01 -5.6490000e-01 -4.0150000e-01 2.9670000e-01
+ 1.4130000e-01 -4.2000000e-01 -4.7950000e-01 1.7420000e-01
+ 1.2510000e-01 -2.3490000e-01 -5.0450000e-01 -3.3300000e-02
+ 1.0350000e-01 -7.2300000e-02 -4.1950000e-01 -2.8300000e-02
+ 7.1400000e-02 8.7100000e-02 -3.4850000e-01 -5.3300000e-02
+ 3.0000000e-02 2.8660000e-01 -3.3450000e-01 -1.8830000e-01
+ -1.1500000e-02 5.2330000e-01 -2.2350000e-01 -3.5080000e-01
+ -4.7400000e-02 7.9160000e-01 -7.2500000e-02 -4.2580000e-01
+ -7.6500000e-02 1.1562000e+00 -1.0500000e-02 -6.1330000e-01
+ -9.8100000e-02 1.5229000e+00 -3.6500000e-02 -7.9580000e-01
+ -1.1620000e-01 1.7436000e+00 -5.8500000e-02 -7.9830000e-01
+ -1.3160000e-01 1.8822000e+00 2.5000000e-03 -9.0080000e-01
+ -1.3490000e-01 1.9916000e+00 6.0500000e-02 -1.0358000e+00
+ -1.2020000e-01 2.0391000e+00 6.5000000e-03 -1.0233000e+00
+ -9.3200000e-02 2.0123000e+00 -6.2500000e-02 -9.4830000e-01
+ -6.0900000e-02 1.9210000e+00 -8.0500000e-02 -9.5830000e-01
+ -2.9300000e-02 1.8059000e+00 -1.7850000e-01 -8.4580000e-01
+ -5.2000000e-03 1.7253000e+00 -2.6250000e-01 -7.7330000e-01
+ 9.1000000e-03 1.7317000e+00 -2.1950000e-01 -8.8830000e-01
+ 6.3000000e-03 1.7910000e+00 -1.9250000e-01 -7.3330000e-01
+ -1.7500000e-02 1.8525000e+00 -1.5350000e-01 -7.4330000e-01
+ -4.6000000e-02 1.9114000e+00 -4.0500000e-02 -1.0208000e+00
+ -6.5600000e-02 1.9435000e+00 3.6500000e-02 -9.3830000e-01
+ -7.9300000e-02 1.9967000e+00 1.0750000e-01 -9.4330000e-01
+ -8.9000000e-02 2.0655000e+00 1.2750000e-01 -1.0708000e+00
+ -9.7100000e-02 2.0547000e+00 9.8500000e-02 -9.8080000e-01
+ -1.0560000e-01 1.9936000e+00 1.4250000e-01 -1.0508000e+00
+ -1.1330000e-01 1.9289000e+00 1.4450000e-01 -1.0233000e+00
+ -1.2020000e-01 1.8841000e+00 1.4450000e-01 -1.0283000e+00
+ -1.2780000e-01 1.8653000e+00 1.6050000e-01 -1.1133000e+00
+ -1.4560000e-01 1.8273000e+00 9.0500000e-02 -9.4330000e-01
+ -1.7960000e-01 1.7730000e+00 8.0500000e-02 -9.8330000e-01
+ -2.1910000e-01 1.6584000e+00 1.5750000e-01 -1.0358000e+00
+ -2.5440000e-01 1.4743000e+00 2.5650000e-01 -9.0830000e-01
+ -2.8540000e-01 1.3089000e+00 3.5650000e-01 -9.0830000e-01
+ -3.2080000e-01 1.1494000e+00 3.2950000e-01 -6.7580000e-01
+ -3.6420000e-01 9.9270000e-01 3.6550000e-01 -6.6830000e-01
+ -4.0520000e-01 8.2630000e-01 5.0050000e-01 -7.6580000e-01
+ -4.4430000e-01 5.7800000e-01 5.3550000e-01 -4.1330000e-01
+ -4.8910000e-01 3.1030000e-01 6.3550000e-01 -3.5580000e-01
+ -5.3730000e-01 1.1070000e-01 7.2750000e-01 -2.8080000e-01
+ -5.8490000e-01 3.3400000e-02 7.6450000e-01 -1.0080000e-01
+ -6.2120000e-01 1.0170000e-01 8.4150000e-01 -3.3080000e-01
+ -6.3750000e-01 2.1410000e-01 8.0550000e-01 -2.6080000e-01
+ -6.3490000e-01 3.1870000e-01 8.1950000e-01 -2.6830000e-01
+ -6.1000000e-01 4.1730000e-01 8.7850000e-01 -5.5580000e-01
+ -5.7470000e-01 4.4040000e-01 6.7350000e-01 -2.0580000e-01
+ -5.4530000e-01 3.6790000e-01 5.5250000e-01 -1.7330000e-01
+ -5.1160000e-01 2.4960000e-01 6.2650000e-01 -4.1830000e-01
+ -4.6740000e-01 1.3140000e-01 6.4850000e-01 -1.4080000e-01
+ -4.2140000e-01 3.1600000e-02 6.3650000e-01 -1.3580000e-01
+ -3.8110000e-01 -3.4900000e-02 5.0350000e-01 -7.8300000e-02
+ -3.4980000e-01 -5.0400000e-02 4.4450000e-01 9.2000000e-03
+ -3.1650000e-01 -7.7200000e-02 5.0550000e-01 -2.2580000e-01
+ -2.7360000e-01 -1.9110000e-01 4.3250000e-01 -9.8300000e-02
+ -2.3330000e-01 -3.8450000e-01 3.4950000e-01 9.1700000e-02
+ -2.1160000e-01 -6.0800000e-01 2.8550000e-01 1.9170000e-01
+ -2.1400000e-01 -7.8730000e-01 2.0950000e-01 3.6420000e-01
+ -2.2780000e-01 -9.0550000e-01 1.7950000e-01 2.6420000e-01
+ -2.3680000e-01 -1.0029000e+00 1.6650000e-01 3.3170000e-01
+ -2.3500000e-01 -1.0601000e+00 2.2550000e-01 3.6170000e-01
+ -2.2320000e-01 -1.0793000e+00 2.1450000e-01 2.5920000e-01
+ -2.1660000e-01 -1.0744000e+00 -3.0500000e-02 4.9420000e-01
+ -2.2880000e-01 -9.6630000e-01 -1.7950000e-01 4.2920000e-01
+ -2.4820000e-01 -7.6300000e-01 -5.9500000e-02 1.1170000e-01
+ -2.5980000e-01 -5.9670000e-01 1.2150000e-01 9.6700000e-02
+ -2.6180000e-01 -4.9250000e-01 2.0250000e-01 4.9200000e-02
+ -2.5900000e-01 -4.0100000e-01 1.6050000e-01 3.6700000e-02
+ -2.5500000e-01 -3.3280000e-01 1.1850000e-01 8.6700000e-02
+ -2.4310000e-01 -2.9460000e-01 1.6050000e-01 -8.0800000e-02
+ -2.1660000e-01 -2.7870000e-01 1.6450000e-01 -3.8300000e-02
+ -1.8170000e-01 -3.1220000e-01 1.7550000e-01 1.0670000e-01
+ -1.4080000e-01 -4.0760000e-01 2.4850000e-01 -5.8000000e-03
+ -9.5500000e-02 -5.1210000e-01 1.3350000e-01 1.1920000e-01
+ -5.8000000e-02 -5.4060000e-01 -9.6500000e-02 2.2920000e-01
+ -3.7100000e-02 -4.9960000e-01 -1.9450000e-01 1.2920000e-01
+ -3.5700000e-02 -4.6310000e-01 -1.4950000e-01 2.1420000e-01
+ -4.9700000e-02 -4.4360000e-01 -6.5000000e-03 7.1700000e-02
+ -7.3700000e-02 -4.5190000e-01 -1.6500000e-02 9.9200000e-02
+ -1.1190000e-01 -4.6870000e-01 -8.6500000e-02 2.8920000e-01
+ -1.5610000e-01 -4.5430000e-01 3.7500000e-02 -2.0800000...
[truncated message content] |
|
From: <par...@us...> - 2012-04-19 18:28:13
|
Revision: 10298
http://octave.svn.sourceforge.net/octave/?rev=10298&view=rev
Author: paramaniac
Date: 2012-04-19 18:28:07 +0000 (Thu, 19 Apr 2012)
Log Message:
-----------
control-devel: revert minor changes
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/Destillation.m
trunk/octave-forge/extra/control-devel/devel/PowerPlant.m
Modified: trunk/octave-forge/extra/control-devel/devel/Destillation.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/Destillation.m 2012-04-19 13:48:22 UTC (rev 10297)
+++ trunk/octave-forge/extra/control-devel/devel/Destillation.m 2012-04-19 18:28:07 UTC (rev 10298)
@@ -74,8 +74,8 @@
err = norm (Y_dest - y, 1) / norm (Y_dest, 1)
figure (1)
-plot (t, Y_dest, 'b')
-%plot (t, Y_dest, 'b', t, y, 'r')
+%plot (t, Y_dest, 'b')
+plot (t, Y_dest, 'b', t, y, 'r')
legend ('y measured', 'y simulated', 'location', 'southeast')
Modified: trunk/octave-forge/extra/control-devel/devel/PowerPlant.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/PowerPlant.m 2012-04-19 13:48:22 UTC (rev 10297)
+++ trunk/octave-forge/extra/control-devel/devel/PowerPlant.m 2012-04-19 18:28:07 UTC (rev 10298)
@@ -61,7 +61,7 @@
dat = iddata (Y, U, tsam, 'outname', outname, 'inname', inname)
-[sys, x0] = ident (dat, 10, 7) % s=10, n=8
+[sys, x0] = ident (dat, 10, 8) % s=10, n=8
[y, t] = lsim (sys, U, [], x0);
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-05-08 08:22:52
|
Revision: 10377
http://octave.svn.sourceforge.net/octave/?rev=10377&view=rev
Author: paramaniac
Date: 2012-05-08 08:22:45 +0000 (Tue, 08 May 2012)
Log Message:
-----------
control-devel: add draft of another DaISy example
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/pHarx.m
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m
trunk/octave-forge/extra/control-devel/devel/heating_system.dat
Added: trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m 2012-05-08 08:22:45 UTC (rev 10377)
@@ -0,0 +1,103 @@
+%{
+1. Contributed by:
+
+ Roy Smith
+ Dept. of Electrical & Computer Engineering
+ University of California,
+ Santa Barbara, CA 93106
+ U.S.A.
+ ro...@ec...
+
+2. Process/Description:
+
+ The experiment is a simple SISO heating system.
+ The input drives a 300 Watt Halogen lamp, suspended
+ several inches above a thin steel plate. The output
+ is a thermocouple measurement taken from the back of
+ the plate.
+
+3. Sampling interval:
+
+ 2.0 seconds
+
+4. Number of samples
+
+ 801
+
+5. Inputs:
+
+ u: input drive voltage
+ ...
+6. Outputs:
+
+ y: temperature (deg. C)
+ ...
+7. References:
+
+ The use of this experiment and data for robust
+ control model validation is described in:
+
+ "Sampled Data Model Validation: an Algorithm and
+ Experimental Application," Geir Dullerud & Roy Smith,
+ International Journal of Robust and Nonlinear Control,
+ Vol. 6, No. 9/10, pp. 1065-1078, 1996.
+
+8. Known properties/peculiarities
+
+ The data (and nominal model) is the above paper have the
+ output expressed in 10's deg. C. This has been rescaled
+ to the original units of deg. C. in the DaISy data set.
+ There is also a -1 volt offset in u in the data shown plotted
+ in the original paper. This has been removed in the
+ DaISy dataset.
+
+ The data shows evidence of discrepancies. One of the
+ issues studied in the above paper is the size of these
+ discrepancies - measured in this case in terms of the norm
+ of the smallest perturbation required to account for the
+ difference between the nominal model and the data.
+
+ The steady state input (prior to the start of the experiment)
+ is u = 6.0 Volts.
+
+%}
+
+clear all, close all, clc
+
+load heating_system.dat
+U=heating_system(:,2);
+Y=heating_system(:,3);
+
+
+dat = iddata (Y, U, 2.0, 'inname', 'input drive voltage', \
+ 'inunit', 'Volt', \
+ 'outname', 'temperature', \
+ 'outunit', '°C')
+
+% s=15, n=7
+sys = arx (dat, 7, 7) % normally na = nb
+
+[y, t] = lsim (sys(:, 1), U);
+
+
+err = norm (Y - y, 1) / norm (Y, 1)
+
+figure (1)
+plot (t, Y(:,1), 'b', t, y(:,1), 'r')
+title ('DaISy: Heating System [99-001]')
+legend ('measured temperature', 'simulated temperature', 'location', 'southeast')
+
+
+[sys2, x0] = ident (dat, 15, 7)
+
+[y2, t2] = lsim (sys2, U, [], x0);
+
+err2 = norm (Y - y2, 1) / norm (Y, 1)
+
+figure (2)
+plot (t, Y, 'b', t, y, 'r', t, y2, 'g')
+title ('DaISy: Heating System [99-001]')
+legend ('measured temperature', 'simulated temperature', 'slicot', 'location', 'southeast')
+
+
+
Added: trunk/octave-forge/extra/control-devel/devel/heating_system.dat
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/heating_system.dat (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/heating_system.dat 2012-05-08 08:22:45 UTC (rev 10377)
@@ -0,0 +1,801 @@
+ 0.00 9.000 129.320
+ 2.00 9.000 129.320
+ 4.00 9.000 129.564
+ 6.00 9.000 131.516
+ 8.00 9.000 134.200
+ 10.00 9.000 136.640
+ 12.00 9.000 139.324
+ 14.00 9.000 141.764
+ 16.00 9.000 144.204
+ 18.00 9.000 146.156
+ 20.00 9.000 148.596
+ 22.00 9.000 150.548
+ 24.00 9.000 152.256
+ 26.00 9.000 154.208
+ 28.00 9.000 155.428
+ 30.00 9.000 156.648
+ 32.00 9.000 157.624
+ 34.00 9.000 158.600
+ 36.00 9.000 159.576
+ 38.00 9.000 160.796
+ 40.00 9.000 161.772
+ 42.00 9.000 162.260
+ 44.00 9.000 162.748
+ 46.00 9.000 163.724
+ 48.00 9.000 164.212
+ 50.00 9.000 165.188
+ 52.00 9.000 166.164
+ 54.00 9.000 167.140
+ 56.00 9.000 167.872
+ 58.00 9.000 168.604
+ 60.00 9.000 169.092
+ 62.00 9.000 169.336
+ 64.00 9.000 169.824
+ 66.00 9.000 170.312
+ 68.00 9.000 170.556
+ 70.00 9.000 171.044
+ 72.00 9.000 171.532
+ 74.00 9.000 172.020
+ 76.00 9.000 172.508
+ 78.00 9.000 172.752
+ 80.00 9.000 172.996
+ 82.00 9.000 173.240
+ 84.00 9.000 173.484
+ 86.00 9.000 173.972
+ 88.00 9.000 173.728
+ 90.00 9.000 173.728
+ 92.00 9.000 174.216
+ 94.00 9.000 174.948
+ 96.00 9.000 175.680
+ 98.00 9.000 175.924
+ 100.00 9.000 175.924
+ 102.00 9.000 176.168
+ 104.00 9.000 176.900
+ 106.00 9.000 177.144
+ 108.00 9.000 177.632
+ 110.00 9.000 178.120
+ 112.00 9.000 177.876
+ 114.00 9.000 178.364
+ 116.00 9.000 178.364
+ 118.00 9.000 178.364
+ 120.00 9.000 178.852
+ 122.00 9.000 179.096
+ 124.00 9.000 179.584
+ 126.00 9.000 179.828
+ 128.00 9.000 180.072
+ 130.00 9.000 180.316
+ 132.00 9.000 180.316
+ 134.00 9.000 180.804
+ 136.00 9.000 180.804
+ 138.00 9.000 181.292
+ 140.00 9.000 181.536
+ 142.00 9.000 182.024
+ 144.00 9.000 182.024
+ 146.00 9.000 182.024
+ 148.00 9.000 182.024
+ 150.00 9.000 182.268
+ 152.00 9.000 182.512
+ 154.00 9.000 182.756
+ 156.00 9.000 183.000
+ 158.00 9.000 183.000
+ 160.00 9.000 183.000
+ 162.00 9.000 183.488
+ 164.00 9.000 183.732
+ 166.00 9.000 183.976
+ 168.00 9.000 184.220
+ 170.00 9.000 184.220
+ 172.00 9.000 184.464
+ 174.00 9.000 184.708
+ 176.00 9.000 184.952
+ 178.00 9.000 184.464
+ 180.00 9.000 184.220
+ 182.00 9.000 184.464
+ 184.00 9.000 184.708
+ 186.00 9.000 185.196
+ 188.00 9.000 185.440
+ 190.00 9.000 185.684
+ 192.00 9.000 185.440
+ 194.00 9.000 185.684
+ 196.00 9.000 185.928
+ 198.00 9.000 186.172
+ 200.00 9.000 186.172
+ 202.00 9.000 186.416
+ 204.00 9.000 186.416
+ 206.00 9.000 186.416
+ 208.00 9.000 186.416
+ 210.00 9.000 186.172
+ 212.00 9.000 186.172
+ 214.00 9.000 186.416
+ 216.00 9.000 186.904
+ 218.00 9.000 187.392
+ 220.00 9.000 187.636
+ 222.00 9.000 187.636
+ 224.00 9.000 187.880
+ 226.00 9.000 187.880
+ 228.00 9.000 187.880
+ 230.00 9.000 187.880
+ 232.00 9.000 187.880
+ 234.00 9.000 187.636
+ 236.00 9.000 187.880
+ 238.00 9.000 187.880
+ 240.00 9.000 187.880
+ 242.00 9.000 187.880
+ 244.00 9.000 188.124
+ 246.00 9.000 188.368
+ 248.00 9.000 188.368
+ 250.00 9.000 188.368
+ 252.00 9.000 188.612
+ 254.00 9.000 187.880
+ 256.00 9.000 187.880
+ 258.00 9.000 187.880
+ 260.00 9.000 188.124
+ 262.00 9.000 188.124
+ 264.00 9.000 188.368
+ 266.00 9.000 189.100
+ 268.00 9.000 189.344
+ 270.00 9.000 189.344
+ 272.00 9.000 189.344
+ 274.00 9.000 189.588
+ 276.00 9.000 189.100
+ 278.00 9.000 189.344
+ 280.00 9.000 189.832
+ 282.00 9.000 190.320
+ 284.00 9.000 190.076
+ 286.00 9.000 189.832
+ 288.00 9.000 189.832
+ 290.00 9.000 190.320
+ 292.00 9.000 190.564
+ 294.00 9.000 190.564
+ 296.00 9.000 190.320
+ 298.00 9.000 189.588
+ 300.00 9.000 189.588
+ 302.00 9.000 190.076
+ 304.00 9.000 190.076
+ 306.00 9.000 190.076
+ 308.00 9.000 190.076
+ 310.00 9.000 190.320
+ 312.00 9.000 190.076
+ 314.00 9.000 190.320
+ 316.00 9.000 190.320
+ 318.00 9.000 190.564
+ 320.00 9.000 190.564
+ 322.00 9.000 190.564
+ 324.00 9.000 190.320
+ 326.00 9.000 190.320
+ 328.00 9.000 190.320
+ 330.00 9.000 190.320
+ 332.00 9.000 190.564
+ 334.00 9.000 191.052
+ 336.00 9.000 191.540
+ 338.00 9.000 191.296
+ 340.00 9.000 191.296
+ 342.00 9.000 191.296
+ 344.00 9.000 191.296
+ 346.00 9.000 191.296
+ 348.00 9.000 191.784
+ 350.00 9.000 191.296
+ 352.00 9.000 191.296
+ 354.00 9.000 191.540
+ 356.00 9.000 192.028
+ 358.00 9.000 191.540
+ 360.00 9.000 191.784
+ 362.00 9.000 191.784
+ 364.00 9.000 191.540
+ 366.00 9.000 191.052
+ 368.00 9.000 191.052
+ 370.00 9.000 191.052
+ 372.00 9.000 190.808
+ 374.00 9.000 190.808
+ 376.00 9.000 191.052
+ 378.00 9.000 191.052
+ 380.00 9.000 191.052
+ 382.00 9.000 191.296
+ 384.00 9.000 191.540
+ 386.00 9.000 191.540
+ 388.00 9.000 191.540
+ 390.00 9.000 191.784
+ 392.00 9.000 192.028
+ 394.00 9.000 192.028
+ 396.00 9.000 192.028
+ 398.00 9.000 192.028
+ 400.00 4.000 192.028
+ 402.00 4.000 191.540
+ 404.00 4.000 189.588
+ 406.00 4.000 186.172
+ 408.00 4.000 181.780
+ 410.00 4.000 177.632
+ 412.00 4.000 173.972
+ 414.00 4.000 170.068
+ 416.00 4.000 166.164
+ 418.00 4.000 162.992
+ 420.00 4.000 160.064
+ 422.00 4.000 157.624
+ 424.00 4.000 155.184
+ 426.00 4.000 153.232
+ 428.00 4.000 151.036
+ 430.00 4.000 149.328
+ 432.00 4.000 147.132
+ 434.00 4.000 145.180
+ 436.00 4.000 143.228
+ 438.00 4.000 142.008
+ 440.00 4.000 140.544
+ 442.00 4.000 139.324
+ 444.00 4.000 138.348
+ 446.00 4.000 137.128
+ 448.00 4.000 136.152
+ 450.00 4.000 135.420
+ 452.00 4.000 134.444
+ 454.00 4.000 133.468
+ 456.00 4.000 132.736
+ 458.00 4.000 131.516
+ 460.00 4.000 130.296
+ 462.00 4.000 129.320
+ 464.00 4.000 128.588
+ 466.00 4.000 127.856
+ 468.00 4.000 127.124
+ 470.00 4.000 126.392
+ 472.00 4.000 125.416
+ 474.00 4.000 124.684
+ 476.00 4.000 123.952
+ 478.00 4.000 123.464
+ 480.00 4.000 122.732
+ 482.00 4.000 122.000
+ 484.00 4.000 121.512
+ 486.00 4.000 120.780
+ 488.00 4.000 120.536
+ 490.00 4.000 119.804
+ 492.00 4.000 119.316
+ 494.00 4.000 118.584
+ 496.00 4.000 117.852
+ 498.00 4.000 117.364
+ 500.00 4.000 116.876
+ 502.00 4.000 116.388
+ 504.00 4.000 116.144
+ 506.00 4.000 115.656
+ 508.00 4.000 115.412
+ 510.00 4.000 114.680
+ 512.00 4.000 114.436
+ 514.00 4.000 113.948
+ 516.00 4.000 113.704
+ 518.00 4.000 112.972
+ 520.00 4.000 112.728
+ 522.00 4.000 112.240
+ 524.00 4.000 111.996
+ 526.00 4.000 111.752
+ 528.00 4.000 111.752
+ 530.00 4.000 111.752
+ 532.00 4.000 111.508
+ 534.00 4.000 111.264
+ 536.00 4.000 111.020
+ 538.00 4.000 111.264
+ 540.00 4.000 110.776
+ 542.00 4.000 110.288
+ 544.00 4.000 110.044
+ 546.00 4.000 109.800
+ 548.00 4.000 109.312
+ 550.00 4.000 109.556
+ 552.00 4.000 109.556
+ 554.00 4.000 109.556
+ 556.00 4.000 109.312
+ 558.00 4.000 108.824
+ 560.00 4.000 108.092
+ 562.00 4.000 107.360
+ 564.00 4.000 106.872
+ 566.00 4.000 106.628
+ 568.00 4.000 106.140
+ 570.00 4.000 105.896
+ 572.00 4.000 105.652
+ 574.00 4.000 105.408
+ 576.00 4.000 104.920
+ 578.00 4.000 104.676
+ 580.00 4.000 104.188
+ 582.00 4.000 103.700
+ 584.00 4.000 103.456
+ 586.00 4.000 103.212
+ 588.00 4.000 102.968
+ 590.00 4.000 102.480
+ 592.00 4.000 102.236
+ 594.00 4.000 101.748
+ 596.00 4.000 101.504
+ 598.00 4.000 101.260
+ 600.00 4.000 101.260
+ 602.00 4.000 101.016
+ 604.00 4.000 100.772
+ 606.00 4.000 100.528
+ 608.00 4.000 100.528
+ 610.00 4.000 100.284
+ 612.00 4.000 99.796
+ 614.00 4.000 99.308
+ 616.00 4.000 99.308
+ 618.00 4.000 99.308
+ 620.00 4.000 99.064
+ 622.00 4.000 98.820
+ 624.00 4.000 98.576
+ 626.00 4.000 98.576
+ 628.00 4.000 98.088
+ 630.00 4.000 97.844
+ 632.00 4.000 97.600
+ 634.00 4.000 97.112
+ 636.00 4.000 96.868
+ 638.00 4.000 96.624
+ 640.00 4.000 96.868
+ 642.00 4.000 96.624
+ 644.00 4.000 96.624
+ 646.00 4.000 96.380
+ 648.00 4.000 95.892
+ 650.00 4.000 95.892
+ 652.00 4.000 95.892
+ 654.00 4.000 95.404
+ 656.00 4.000 95.648
+ 658.00 4.000 95.404
+ 660.00 4.000 95.160
+ 662.00 4.000 94.916
+ 664.00 4.000 94.672
+ 666.00 4.000 94.672
+ 668.00 4.000 94.428
+ 670.00 4.000 94.428
+ 672.00 4.000 94.184
+ 674.00 4.000 93.940
+ 676.00 4.000 93.696
+ 678.00 4.000 93.696
+ 680.00 4.000 93.696
+ 682.00 4.000 93.208
+ 684.00 4.000 92.964
+ 686.00 4.000 92.720
+ 688.00 4.000 92.720
+ 690.00 4.000 92.476
+ 692.00 4.000 92.476
+ 694.00 4.000 92.476
+ 696.00 4.000 92.476
+ 698.00 4.000 92.476
+ 700.00 4.000 92.476
+ 702.00 4.000 91.988
+ 704.00 4.000 91.988
+ 706.00 4.000 91.744
+ 708.00 4.000 91.744
+ 710.00 4.000 91.500
+ 712.00 4.000 91.012
+ 714.00 4.000 91.012
+ 716.00 4.000 90.768
+ 718.00 4.000 90.768
+ 720.00 4.000 90.768
+ 722.00 4.000 90.768
+ 724.00 4.000 91.012
+ 726.00 4.000 90.768
+ 728.00 4.000 90.524
+ 730.00 4.000 90.280
+ 732.00 4.000 90.280
+ 734.00 4.000 90.036
+ 736.00 4.000 89.792
+ 738.00 4.000 89.548
+ 740.00 4.000 89.548
+ 742.00 4.000 89.548
+ 744.00 4.000 89.304
+ 746.00 4.000 89.304
+ 748.00 4.000 89.060
+ 750.00 4.000 89.060
+ 752.00 4.000 88.816
+ 754.00 4.000 88.572
+ 756.00 4.000 88.572
+ 758.00 4.000 88.816
+ 760.00 4.000 88.572
+ 762.00 4.000 88.328
+ 764.00 4.000 88.084
+ 766.00 4.000 87.840
+ 768.00 4.000 87.352
+ 770.00 4.000 87.596
+ 772.00 4.000 87.352
+ 774.00 4.000 87.352
+ 776.00 4.000 87.352
+ 778.00 4.000 87.108
+ 780.00 4.000 87.108
+ 782.00 4.000 87.108
+ 784.00 4.000 87.108
+ 786.00 4.000 86.864
+ 788.00 4.000 87.108
+ 790.00 4.000 86.864
+ 792.00 4.000 86.620
+ 794.00 4.000 86.620
+ 796.00 4.000 86.620
+ 798.00 4.000 86.376
+ 800.00 8.000 86.132
+ 802.00 8.000 85.888
+ 804.00 8.000 86.864
+ 806.00 8.000 89.548
+ 808.00 8.000 93.208
+ 810.00 8.000 97.356
+ 812.00 8.000 101.504
+ 814.00 8.000 105.164
+ 816.00 8.000 108.824
+ 818.00 8.000 111.996
+ 820.00 8.000 114.924
+ 822.00 8.000 117.364
+ 824.00 8.000 119.316
+ 826.00 8.000 121.512
+ 828.00 8.000 123.464
+ 830.00 8.000 124.928
+ 832.00 8.000 126.636
+ 834.00 8.000 128.100
+ 836.00 8.000 129.564
+ 838.00 8.000 130.784
+ 840.00 8.000 132.004
+ 842.00 8.000 133.224
+ 844.00 8.000 134.200
+ 846.00 8.000 135.176
+ 848.00 8.000 136.152
+ 850.00 8.000 136.884
+ 852.00 8.000 138.104
+ 854.00 8.000 138.836
+ 856.00 8.000 139.324
+ 858.00 8.000 140.300
+ 860.00 8.000 141.276
+ 862.00 8.000 141.764
+ 864.00 8.000 142.008
+ 866.00 8.000 142.740
+ 868.00 8.000 143.960
+ 870.00 8.000 144.448
+ 872.00 8.000 145.180
+ 874.00 8.000 145.912
+ 876.00 8.000 146.644
+ 878.00 8.000 147.376
+ 880.00 8.000 147.620
+ 882.00 8.000 148.352
+ 884.00 8.000 148.840
+ 886.00 8.000 149.084
+ 888.00 8.000 149.572
+ 890.00 8.000 150.060
+ 892.00 8.000 150.304
+ 894.00 8.000 150.548
+ 896.00 8.000 151.036
+ 898.00 8.000 151.524
+ 900.00 8.000 152.500
+ 902.00 8.000 152.988
+ 904.00 8.000 153.232
+ 906.00 8.000 153.720
+ 908.00 8.000 154.208
+ 910.00 8.000 154.696
+ 912.00 8.000 155.184
+ 914.00 8.000 155.672
+ 916.00 8.000 155.672
+ 918.00 8.000 155.672
+ 920.00 8.000 155.916
+ 922.00 8.000 156.160
+ 924.00 8.000 156.404
+ 926.00 8.000 156.404
+ 928.00 8.000 156.892
+ 930.00 8.000 157.380
+ 932.00 8.000 157.624
+ 934.00 8.000 158.112
+ 936.00 8.000 158.600
+ 938.00 8.000 158.600
+ 940.00 8.000 159.088
+ 942.00 8.000 159.576
+ 944.00 8.000 159.332
+ 946.00 8.000 159.332
+ 948.00 8.000 159.576
+ 950.00 8.000 159.820
+ 952.00 8.000 159.820
+ 954.00 8.000 159.820
+ 956.00 8.000 160.064
+ 958.00 8.000 160.308
+ 960.00 8.000 160.552
+ 962.00 8.000 160.796
+ 964.00 8.000 160.796
+ 966.00 8.000 160.796
+ 968.00 8.000 161.040
+ 970.00 8.000 161.528
+ 972.00 8.000 161.772
+ 974.00 8.000 161.772
+ 976.00 8.000 162.016
+ 978.00 8.000 162.504
+ 980.00 8.000 162.504
+ 982.00 8.000 162.748
+ 984.00 8.000 162.748
+ 986.00 8.000 162.748
+ 988.00 8.000 162.992
+ 990.00 8.000 163.236
+ 992.00 8.000 163.236
+ 994.00 8.000 162.992
+ 996.00 8.000 163.236
+ 998.00 8.000 163.480
+ 1000.00 3.000 163.724
+ 1002.00 3.000 163.968
+ 1004.00 3.000 162.992
+ 1006.00 3.000 160.308
+ 1008.00 3.000 155.916
+ 1010.00 3.000 151.280
+ 1012.00 3.000 146.644
+ 1014.00 3.000 142.740
+ 1016.00 3.000 139.080
+ 1018.00 3.000 136.152
+ 1020.00 3.000 133.224
+ 1022.00 3.000 130.784
+ 1024.00 3.000 128.588
+ 1026.00 3.000 126.636
+ 1028.00 3.000 125.172
+ 1030.00 3.000 123.220
+ 1032.00 3.000 121.756
+ 1034.00 3.000 120.292
+ 1036.00 3.000 118.828
+ 1038.00 3.000 117.364
+ 1040.00 3.000 115.900
+ 1042.00 3.000 114.680
+ 1044.00 3.000 113.460
+ 1046.00 3.000 112.240
+ 1048.00 3.000 111.264
+ 1050.00 3.000 110.288
+ 1052.00 3.000 109.068
+ 1054.00 3.000 107.604
+ 1056.00 3.000 106.628
+ 1058.00 3.000 105.652
+ 1060.00 3.000 104.676
+ 1062.00 3.000 103.944
+ 1064.00 3.000 102.968
+ 1066.00 3.000 102.236
+ 1068.00 3.000 101.504
+ 1070.00 3.000 100.284
+ 1072.00 3.000 99.796
+ 1074.00 3.000 99.308
+ 1076.00 3.000 98.332
+ 1078.00 3.000 97.844
+ 1080.00 3.000 97.356
+ 1082.00 3.000 96.868
+ 1084.00 3.000 96.380
+ 1086.00 3.000 95.892
+ 1088.00 3.000 95.160
+ 1090.00 3.000 94.672
+ 1092.00 3.000 94.184
+ 1094.00 3.000 93.696
+ 1096.00 3.000 93.208
+ 1098.00 3.000 92.964
+ 1100.00 3.000 92.476
+ 1102.00 3.000 91.988
+ 1104.00 3.000 91.256
+ 1106.00 3.000 90.768
+ 1108.00 3.000 90.280
+ 1110.00 3.000 89.792
+ 1112.00 3.000 89.548
+ 1114.00 3.000 89.060
+ 1116.00 3.000 88.084
+ 1118.00 3.000 87.596
+ 1120.00 3.000 87.352
+ 1122.00 3.000 87.108
+ 1124.00 3.000 86.864
+ 1126.00 3.000 86.864
+ 1128.00 3.000 86.376
+ 1130.00 3.000 85.888
+ 1132.00 3.000 85.888
+ 1134.00 3.000 85.644
+ 1136.00 3.000 84.912
+ 1138.00 3.000 84.180
+ 1140.00 3.000 84.180
+ 1142.00 3.000 83.936
+ 1144.00 3.000 83.692
+ 1146.00 3.000 83.448
+ 1148.00 3.000 83.204
+ 1150.00 3.000 82.716
+ 1152.00 3.000 82.228
+ 1154.00 3.000 81.984
+ 1156.00 3.000 81.984
+ 1158.00 3.000 81.740
+ 1160.00 3.000 81.740
+ 1162.00 3.000 81.496
+ 1164.00 3.000 81.008
+ 1166.00 3.000 80.764
+ 1168.00 3.000 80.276
+ 1170.00 3.000 80.032
+ 1172.00 3.000 79.788
+ 1174.00 3.000 79.544
+ 1176.00 3.000 79.300
+ 1178.00 3.000 79.056
+ 1180.00 3.000 78.568
+ 1182.00 3.000 78.568
+ 1184.00 3.000 78.324
+ 1186.00 3.000 78.324
+ 1188.00 3.000 78.080
+ 1190.00 3.000 77.836
+ 1192.00 3.000 77.836
+ 1194.00 3.000 77.592
+ 1196.00 3.000 77.104
+ 1198.00 3.000 76.860
+ 1200.00 7.000 76.372
+ 1202.00 7.000 76.372
+ 1204.00 7.000 77.104
+ 1206.00 7.000 79.300
+ 1208.00 7.000 82.472
+ 1210.00 7.000 85.888
+ 1212.00 7.000 89.060
+ 1214.00 7.000 92.232
+ 1216.00 7.000 95.160
+ 1218.00 7.000 97.600
+ 1220.00 7.000 99.552
+ 1222.00 7.000 101.260
+ 1224.00 7.000 103.212
+ 1226.00 7.000 105.164
+ 1228.00 7.000 106.628
+ 1230.00 7.000 107.604
+ 1232.00 7.000 108.580
+ 1234.00 7.000 109.800
+ 1236.00 7.000 110.776
+ 1238.00 7.000 111.996
+ 1240.00 7.000 112.972
+ 1242.00 7.000 113.948
+ 1244.00 7.000 114.680
+ 1246.00 7.000 115.656
+ 1248.00 7.000 116.144
+ 1250.00 7.000 117.120
+ 1252.00 7.000 117.608
+ 1254.00 7.000 118.340
+ 1256.00 7.000 118.828
+ 1258.00 7.000 119.804
+ 1260.00 7.000 120.292
+ 1262.00 7.000 121.024
+ 1264.00 7.000 121.512
+ 1266.00 7.000 122.000
+ 1268.00 7.000 122.244
+ 1270.00 7.000 122.976
+ 1272.00 7.000 123.464
+ 1274.00 7.000 123.952
+ 1276.00 7.000 124.440
+ 1278.00 7.000 124.928
+ 1280.00 7.000 125.660
+ 1282.00 7.000 125.904
+ 1284.00 7.000 126.148
+ 1286.00 7.000 126.636
+ 1288.00 7.000 126.636
+ 1290.00 7.000 127.124
+ 1292.00 7.000 127.368
+ 1294.00 7.000 127.368
+ 1296.00 7.000 127.368
+ 1298.00 7.000 127.368
+ 1300.00 7.000 127.856
+ 1302.00 7.000 128.344
+ 1304.00 7.000 128.588
+ 1306.00 7.000 129.076
+ 1308.00 7.000 129.320
+ 1310.00 7.000 129.564
+ 1312.00 7.000 130.052
+ 1314.00 7.000 130.296
+ 1316.00 7.000 130.296
+ 1318.00 7.000 130.540
+ 1320.00 7.000 130.784
+ 1322.00 7.000 131.272
+ 1324.00 7.000 131.516
+ 1326.00 7.000 131.760
+ 1328.00 7.000 131.760
+ 1330.00 7.000 132.004
+ 1332.00 7.000 132.004
+ 1334.00 7.000 132.492
+ 1336.00 7.000 132.492
+ 1338.00 7.000 132.492
+ 1340.00 7.000 132.248
+ 1342.00 7.000 132.492
+ 1344.00 7.000 132.980
+ 1346.00 7.000 132.980
+ 1348.00 7.000 132.980
+ 1350.00 7.000 133.468
+ 1352.00 7.000 133.956
+ 1354.00 7.000 133.956
+ 1356.00 7.000 133.956
+ 1358.00 7.000 133.956
+ 1360.00 7.000 134.200
+ 1362.00 7.000 134.444
+ 1364.00 7.000 134.932
+ 1366.00 7.000 135.176
+ 1368.00 7.000 135.176
+ 1370.00 7.000 135.176
+ 1372.00 7.000 135.176
+ 1374.00 7.000 135.420
+ 1376.00 7.000 135.664
+ 1378.00 7.000 135.908
+ 1380.00 7.000 136.396
+ 1382.00 7.000 136.396
+ 1384.00 7.000 136.396
+ 1386.00 7.000 136.640
+ 1388.00 7.000 136.396
+ 1390.00 7.000 136.884
+ 1392.00 7.000 136.640
+ 1394.00 7.000 136.884
+ 1396.00 7.000 136.640
+ 1398.00 7.000 136.640
+ 1400.00 6.000 136.884
+ 1402.00 6.000 136.884
+ 1404.00 6.000 136.884
+ 1406.00 6.000 136.396
+ 1408.00 6.000 135.664
+ 1410.00 6.000 134.932
+ 1412.00 6.000 133.956
+ 1414.00 6.000 132.980
+ 1416.00 6.000 132.248
+ 1418.00 6.000 131.760
+ 1420.00 6.000 131.028
+ 1422.00 6.000 130.784
+ 1424.00 6.000 130.296
+ 1426.00 6.000 130.052
+ 1428.00 6.000 129.320
+ 1430.00 6.000 128.588
+ 1432.00 6.000 128.100
+ 1434.00 6.000 127.612
+ 1436.00 6.000 127.368
+ 1438.00 6.000 127.368
+ 1440.00 6.000 127.368
+ 1442.00 6.000 127.368
+ 1444.00 6.000 127.124
+ 1446.00 6.000 127.124
+ 1448.00 6.000 126.636
+ 1450.00 6.000 126.636
+ 1452.00 6.000 126.392
+ 1454.00 6.000 126.148
+ 1456.00 6.000 126.148
+ 1458.00 6.000 126.148
+ 1460.00 6.000 125.904
+ 1462.00 6.000 125.904
+ 1464.00 6.000 125.416
+ 1466.00 6.000 125.172
+ 1468.00 6.000 124.928
+ 1470.00 6.000 124.928
+ 1472.00 6.000 124.928
+ 1474.00 6.000 125.172
+ 1476.00 6.000 125.660
+ 1478.00 6.000 126.148
+ 1480.00 6.000 126.636
+ 1482.00 6.000 126.636
+ 1484.00 6.000 126.636
+ 1486.00 6.000 126.392
+ 1488.00 6.000 126.636
+ 1490.00 6.000 126.880
+ 1492.00 6.000 126.636
+ 1494.00 6.000 125.904
+ 1496.00 6.000 125.416
+ 1498.00 6.000 125.416
+ 1500.00 6.000 126.148
+ 1502.00 6.000 126.880
+ 1504.00 6.000 126.880
+ 1506.00 6.000 126.880
+ 1508.00 6.000 126.880
+ 1510.00 6.000 126.636
+ 1512.00 6.000 126.392
+ 1514.00 6.000 126.148
+ 1516.00 6.000 125.904
+ 1518.00 6.000 125.660
+ 1520.00 6.000 125.416
+ 1522.00 6.000 125.172
+ 1524.00 6.000 124.928
+ 1526.00 6.000 124.440
+ 1528.00 6.000 123.952
+ 1530.00 6.000 123.708
+ 1532.00 6.000 123.220
+ 1534.00 6.000 122.976
+ 1536.00 6.000 122.244
+ 1538.00 6.000 122.000
+ 1540.00 6.000 122.488
+ 1542.00 6.000 122.732
+ 1544.00 6.000 122.732
+ 1546.00 6.000 122.732
+ 1548.00 6.000 122.732
+ 1550.00 6.000 122.244
+ 1552.00 6.000 122.244
+ 1554.00 6.000 122.000
+ 1556.00 6.000 121.756
+ 1558.00 6.000 121.756
+ 1560.00 6.000 121.756
+ 1562.00 6.000 121.756
+ 1564.00 6.000 121.756
+ 1566.00 6.000 121.268
+ 1568.00 6.000 121.268
+ 1570.00 6.000 121.268
+ 1572.00 6.000 121.024
+ 1574.00 6.000 120.780
+ 1576.00 6.000 120.780
+ 1578.00 6.000 120.536
+ 1580.00 6.000 120.780
+ 1582.00 6.000 120.780
+ 1584.00 6.000 121.024
+ 1586.00 6.000 121.024
+ 1588.00 6.000 121.268
+ 1590.00 6.000 121.268
+ 1592.00 6.000 120.780
+ 1594.00 6.000 120.780
+ 1596.00 6.000 120.536
+ 1598.00 6.000 120.536
+ 1600.00 6.000 120.536
Modified: trunk/octave-forge/extra/control-devel/devel/pHarx.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/pHarx.m 2012-05-08 07:56:26 UTC (rev 10376)
+++ trunk/octave-forge/extra/control-devel/devel/pHarx.m 2012-05-08 08:22:45 UTC (rev 10377)
@@ -52,7 +52,7 @@
dat = iddata (Y, U)
% [sys, x0] = ident (dat, 15, 6) % s=15, n=6
-sys = arx (dat, 6, [3,3])
+sys = arx (dat, 6, [6,6]) % normally na = nb
% [y, t] = lsim (sys, U, [], x0);
[y, t] = lsim (sys(:, 1:2), U);
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-05-08 09:18:23
|
Revision: 10378
http://octave.svn.sourceforge.net/octave/?rev=10378&view=rev
Author: paramaniac
Date: 2012-05-08 09:18:11 +0000 (Tue, 08 May 2012)
Log Message:
-----------
control-devel: clean up example
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m
trunk/octave-forge/extra/control-devel/devel/ident.m
Modified: trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m 2012-05-08 08:22:45 UTC (rev 10377)
+++ trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m 2012-05-08 09:18:11 UTC (rev 10378)
@@ -75,29 +75,22 @@
'outunit', '°C')
% s=15, n=7
-sys = arx (dat, 7, 7) % normally na = nb
+[sys1, x0] = ident (dat, 15, 7)
+sys2 = arx (dat, 7, 7) % normally na = nb
-[y, t] = lsim (sys(:, 1), U);
+[y1, t1] = lsim (sys1, U, [], x0);
+[y2, t] = lsim (sys2(:, 1), U);
+err1 = norm (Y - y1, 1) / norm (Y, 1)
+err2 = norm (Y - y2, 1) / norm (Y, 1)
-err = norm (Y - y, 1) / norm (Y, 1)
-
figure (1)
-plot (t, Y(:,1), 'b', t, y(:,1), 'r')
+plot (t, Y, t, y1, t, y2)
title ('DaISy: Heating System [99-001]')
-legend ('measured temperature', 'simulated temperature', 'location', 'southeast')
+xlim ([t(1), t(end)])
+xlabel ('Time [s]')
+ylabel ('Temperature [Degree Celsius]')
+legend ('measured', 'simulated subspace', 'simulated ARX', 'location', 'southeast')
-[sys2, x0] = ident (dat, 15, 7)
-[y2, t2] = lsim (sys2, U, [], x0);
-
-err2 = norm (Y - y2, 1) / norm (Y, 1)
-
-figure (2)
-plot (t, Y, 'b', t, y, 'r', t, y2, 'g')
-title ('DaISy: Heating System [99-001]')
-legend ('measured temperature', 'simulated temperature', 'slicot', 'location', 'southeast')
-
-
-
Modified: trunk/octave-forge/extra/control-devel/devel/ident.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/ident.m 2012-05-08 08:22:45 UTC (rev 10377)
+++ trunk/octave-forge/extra/control-devel/devel/ident.m 2012-05-08 09:18:11 UTC (rev 10378)
@@ -49,6 +49,6 @@
%nobr = 10
[a, b, c, d, q, ry, s, k, x0] = slident (dat.y{1}, dat.u{1}, nobr, n, meth, alg, jobd, batch, conct, ctrl, rcond, tol);
- sys = ss (a, b, c, d, -1);
+ sys = ss (a, b, c, d, dat.tsam{1});
endfunction
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-05-10 07:06:00
|
Revision: 10394
http://octave.svn.sourceforge.net/octave/?rev=10394&view=rev
Author: paramaniac
Date: 2012-05-10 07:05:49 +0000 (Thu, 10 May 2012)
Log Message:
-----------
control-devel: add debug code for subspace identification routines
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/CDplayerVS.m
trunk/octave-forge/extra/control-devel/devel/Ident_results.zip
trunk/octave-forge/extra/control-devel/devel/PowerPlantVS.m
trunk/octave-forge/extra/control-devel/devel/identVS.m
trunk/octave-forge/extra/control-devel/devel/overview.txt
Added: trunk/octave-forge/extra/control-devel/devel/CDplayerVS.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/CDplayerVS.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/CDplayerVS.m 2012-05-10 07:05:49 UTC (rev 10394)
@@ -0,0 +1,67 @@
+%{
+Contributed by:
+ Favoreel
+ KULeuven
+ Departement Electrotechniek ESAT/SISTA
+Kardinaal Mercierlaan 94
+B-3001 Leuven
+Belgium
+ wou...@es...
+Description:
+ Data from the mechanical construction of a CD player arm.
+ The inputs are the forces of the mechanical actuators
+ while the outputs are related to the tracking accuracy of the arm.
+ The data was measured in closed loop, and then through a two-step
+ procedure converted to open loop equivalent data
+ The inputs are highly colored.
+Sampling:
+Number:
+ 2048
+Inputs:
+ u: forces of the mechanical actuators
+Outputs:
+ y: tracking accuracy of the arm
+References:
+ We are grateful to R. de Callafon of the
+ Mechanical Engineering Systems and Control group of Delft, who
+ provided us with these data.
+
+ - Van Den Hof P., Schrama R.J.P., An Indirect Method for Transfer
+ Function Estimation From Closed Loop Data. Automatica, Vol. 29,
+ no. 6, pp. 1523-1527, 1993.
+
+Properties:
+Columns:
+ Column 1: input u1
+ Column 2: input u2
+ Column 1: output y1
+ Column 2: output y2
+Category:
+ mechanical systems
+
+%}
+
+clear all, close all, clc
+
+load CD_player_arm-1.dat
+U=CD_player_arm_1(:,1:2);
+Y=CD_player_arm_1(:,3:4);
+
+
+dat = iddata (Y, U)
+
+[sys, x0] = identVS (dat, 15, 8) % s=15, n=8
+
+
+[y, t] = lsim (sys, U, [], x0);
+
+err = norm (Y - y, 1) / norm (Y, 1)
+
+figure (1)
+p = columns (Y);
+for k = 1 : p
+ subplot (2, 1, k)
+ plot (t, Y(:,k), 'b', t, y(:,k), 'r')
+endfor
+
+
Added: trunk/octave-forge/extra/control-devel/devel/Ident_results.zip
===================================================================
(Binary files differ)
Property changes on: trunk/octave-forge/extra/control-devel/devel/Ident_results.zip
___________________________________________________________________
Added: svn:mime-type
+ application/octet-stream
Added: trunk/octave-forge/extra/control-devel/devel/PowerPlantVS.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/PowerPlantVS.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/PowerPlantVS.m 2012-05-10 07:05:49 UTC (rev 10394)
@@ -0,0 +1,81 @@
+%{
+This file describes the data in the powerplant.dat file.
+1. Contributed by:
+ Peter Van Overschee
+ K.U.Leuven - ESAT - SISTA
+ K. Mercierlaan 94
+ 3001 Heverlee
+ Pet...@es...
+2. Process/Description:
+ data of a power plant (Pont-sur-Sambre (France)) of 120 MW
+3. Sampling time
+ 1228.8 sec
+4. Number of samples:
+ 200 samples
+5. Inputs:
+ 1. gas flow
+ 2. turbine valves opening
+ 3. super heater spray flow
+ 4. gas dampers
+ 5. air flow
+6. Outputs:
+ 1. steam pressure
+ 2. main stem temperature
+ 3. reheat steam temperature
+7. References:
+ a. R.P. Guidorzi, P. Rossi, Identification of a power plant from normal
+ operating records. Automatic control theory and applications (Canada,
+ Vol 2, pp 63-67, sept 1974.
+ b. Moonen M., De Moor B., Vandenberghe L., Vandewalle J., On- and
+ off-line identification of linear state-space models, International
+ Journal of Control, Vol. 49, Jan. 1989, pp.219-232
+8. Known properties/peculiarities
+
+9. Some MATLAB-code to retrieve the data
+ !gunzip powerplant.dat.Z
+ load powerplant.dat
+ U=powerplant(:,1:5);
+ Y=powerplant(:,6:8);
+ Yr=powerplant(:,9:11);
+
+%}
+
+ close all, clc
+
+load powerplant.dat
+U=powerplant(:,1:5);
+Y=powerplant(:,6:8);
+Yr=powerplant(:,9:11);
+
+inname = {'gas flow',
+ 'turbine valves opening',
+ 'super heater spray flow',
+ 'gas dampers',
+ 'air flow'};
+
+outname = {'steam pressure',
+ 'main steam temperature',
+ 'reheat steam temperature'};
+
+tsam = 1228.8;
+
+dat = iddata (Y, U, tsam, 'outname', outname, 'inname', inname)
+
+[sys, x0] = identVS (dat, 10, 8) % s=10, n=8
+
+
+[y, t] = lsim (sys, U, [], x0);
+
+err = norm (Y - y, 1) / norm (Y, 1)
+
+figure (1)
+p = columns (Y);
+for k = 1 : p
+ subplot (3, 1, k)
+ plot (t, Y(:,k), 'b', t, y(:,k), 'r')
+endfor
+%title ('DaISy: Power Plant')
+%legend ('y measured', 'y simulated', 'location', 'southeast')
+
+st = isstable (sys)
+
Added: trunk/octave-forge/extra/control-devel/devel/identVS.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/identVS.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/identVS.m 2012-05-10 07:05:49 UTC (rev 10394)
@@ -0,0 +1,66 @@
+function [sys, x0] = identVS (dat, s = [], nn = [])
+
+n=nn;
+
+ %nobr = 15;
+ meth = 3-1; %1-1;
+ alg = 1-1;
+ jobd = 2-1;
+ batch = 4-1;
+ conct = 2-1;
+ %ctrl = 0;
+ rcond = 0.0;
+ tol = -1.0;
+
+ [ns, l, m, e] = size (dat);
+
+ if (isempty (s) && isempty (n))
+ nsmp = ns(1);
+ nobr = fix ((nsmp+1)/(2*(m+l+1)));
+ ctrl = 0; # confirm system order estimate
+ n = 0;
+ % nsmp >= 2*(m+l+1)*nobr - 1
+ % nobr <= (nsmp+1)/(2*(m+l+1))
+ elseif (isempty (s))
+ s = min (2*n, n+10);
+ nsmp = ns(1);
+ nobr = fix ((nsmp+1)/(2*(m+l+1)));
+ nobr = min (nobr, s);
+ ctrl = 1; # no confirmation
+ elseif (isempty (n))
+ nobr = s;
+ ctrl = 0; # confirm system order estimate
+ n = 0;
+ else # s & n non-empty
+ nsmp = ns(1);
+ nobr = fix ((nsmp+1)/(2*(m+l+1)));
+ if (s > nobr)
+ error ("ident: s > nobr");
+ endif
+ nobr = s;
+ ctrl = 1;
+ ## TODO: specify n for IB01BD
+ endif
+
+nobr
+ %nsmp = ns(1)
+ %nobr = fix ((nsmp+1)/(2*(m+l+1)))
+ % nsmp >= 2*(m+l+1)*nobr - 1
+ % nobr <= (nsmp+1)/(2*(m+l+1))
+%nobr = 10
+ [r, sv, n] = slident_a (dat.y{1}, dat.u{1}, nobr, n, meth, alg, jobd, batch, conct, ctrl, rcond, tol);
+
+%r
+sv
+
+n
+n = nn;
+ [a, b, c, d, q, ry, s, k] = slident_b (dat.y{1}, dat.u{1}, nobr, n, meth, alg, jobd, batch, conct, ctrl, rcond, tol, \
+ r, sv, n);
+
+ x0 = slident_c (dat.y{1}, dat.u{1}, nobr, n, meth, alg, jobd, batch, conct, ctrl, rcond, tol, \
+ a, b, c, d);
+
+ sys = ss (a, b, c, d, -1);
+
+endfunction
Added: trunk/octave-forge/extra/control-devel/devel/overview.txt
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/overview.txt (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/overview.txt 2012-05-10 07:05:49 UTC (rev 10394)
@@ -0,0 +1,10 @@
+Working
+- CDplayer
+- Evaporator
+- GlassFurnace
+- HeatingSystem
+
+Broken
+- Destillation
+- PowerPlant
+- pH
\ No newline at end of file
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-05-10 07:44:09
|
Revision: 10396
http://octave.svn.sourceforge.net/octave/?rev=10396&view=rev
Author: paramaniac
Date: 2012-05-10 07:44:00 +0000 (Thu, 10 May 2012)
Log Message:
-----------
control-devel: fix test examples from DaISy library, first column is sample number
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/Destillation.m
trunk/octave-forge/extra/control-devel/devel/PowerPlant.m
Modified: trunk/octave-forge/extra/control-devel/devel/Destillation.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/Destillation.m 2012-05-10 07:32:55 UTC (rev 10395)
+++ trunk/octave-forge/extra/control-devel/devel/Destillation.m 2012-05-10 07:44:00 UTC (rev 10396)
@@ -52,9 +52,11 @@
clear all, close all, clc
+% DaISy code is wrong,
+% first column is sample number
load destill.dat
-U=destill(:,1:20);
-Y=destill(:,21:32);
+U=destill(:,2:21);
+Y=destill(:,22:33);
U_dest=U(:,1:5);
U_dest_n10=U(:,6:10);
U_dest_n20=U(:,11:15);
Modified: trunk/octave-forge/extra/control-devel/devel/PowerPlant.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/PowerPlant.m 2012-05-10 07:32:55 UTC (rev 10395)
+++ trunk/octave-forge/extra/control-devel/devel/PowerPlant.m 2012-05-10 07:44:00 UTC (rev 10396)
@@ -42,10 +42,14 @@
close all, clc
+% NB: the code from DaISy is wrong:
+% powerplant(:,1) is just the sample number
+% therefore increase indices by one
+% it took me weeks to find that silly mistake ...
load powerplant.dat
-U=powerplant(:,1:5);
-Y=powerplant(:,6:8);
-Yr=powerplant(:,9:11);
+U=powerplant(:,2:6);
+Y=powerplant(:,7:9);
+Yr=powerplant(:,10:12);
inname = {'gas flow',
'turbine valves opening',
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-05-18 22:54:00
|
Revision: 10462
http://octave.svn.sourceforge.net/octave/?rev=10462&view=rev
Author: paramaniac
Date: 2012-05-18 21:52:25 +0000 (Fri, 18 May 2012)
Log Message:
-----------
control-devel: yet another multi-experiment dataset
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/ident.m
Added Paths:
-----------
trunk/octave-forge/extra/control-devel/devel/LakeErie.m
trunk/octave-forge/extra/control-devel/devel/erie.dat
Added: trunk/octave-forge/extra/control-devel/devel/LakeErie.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/LakeErie.m (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/LakeErie.m 2012-05-18 21:52:25 UTC (rev 10462)
@@ -0,0 +1,91 @@
+%{
+This file describes the data in the erie.dat file.
+1. Contributed by:
+ Peter Van Overschee
+ K.U.Leuven - ESAT - SISTA
+ K. Mercierlaan 94
+ 3001 Heverlee
+ Pet...@es...
+2. Process/Description:
+ Data of a simulation (not real !) related to the related to the
+ identification of the western basin of Lake Erie. The series consists
+ of 4 series:
+ U_erie, Y_erie: without noise (original series)
+ U_erie_n10, Y_erie_n10: 10 percent additive white noise
+ U_erie_n20, Y_erie_n20: 20 percent additive white noise
+ U_erie_n30, Y_erie_n30: 30 percent additive white noise
+3. Sampling time
+ 1 month
+4. Number of samples:
+ 57 samples
+5. Inputs:
+ a. water temperature
+ b. water conductivity
+ c. water alkalinity
+ d. NO3
+ e. total hardness
+6. Outputs:
+ a. dissolved oxigen
+ b. algae
+7. References:
+ R.P. Guidorzi, M.P. Losito, T. Muratori, On the last eigenvalue
+ test in the structural identification of linear multivariable
+ systems, Proceedings of the V European meeting on cybernetics and
+ systems research, Vienna, april 1980.
+8. Known properties/peculiarities
+ The considered period runs from march 1968 till november 1972.
+9. Some MATLAB-code to retrieve the data
+ !guzip erie.dat.Z
+ load erie.dat
+ U=erie(:,1:20);
+ Y=erie(:,21:28);
+ U_erie=U(:,1:5);
+ U_erie_n10=U(:,6:10);
+ U_erie_n20=U(:,11:15);
+ U_erie_n30=U(:,16:20);
+ Y_erie=Y(:,1:2);
+ Y_erie_n10=Y(:,3:4);
+ Y_erie_n20=Y(:,5:6);
+ Y_erie_n30=Y(:,7:8);
+%}
+
+clear all, close all, clc
+
+% DaISy code is wrong,
+% first column is sample number
+load erie.dat
+U=erie(:,2:21);
+Y=erie(:,22:29);
+U_erie=U(:,1:5);
+U_erie_n10=U(:,6:10);
+U_erie_n20=U(:,11:15);
+U_erie_n30=U(:,16:20);
+Y_erie=Y(:,1:2);
+Y_erie_n10=Y(:,3:4);
+Y_erie_n20=Y(:,5:6);
+Y_erie_n30=Y(:,7:8);
+
+Y = {Y_erie; Y_erie_n10; Y_erie_n20; Y_erie_n30};
+U = {U_erie; U_erie_n10; U_erie_n20; U_erie_n30};
+
+dat = iddata (Y, U)
+
+[sys, x0] = ident (dat, 5, 4) % s=5, n=4
+
+x0=x0{1};
+
+[y, t] = lsim (sys, U_erie, [], x0);
+%[y, t] = lsim (sys, U_erie);
+
+err = norm (Y_erie - y, 1) / norm (Y_erie, 1)
+
+figure (1)
+p = columns (Y_erie);
+for k = 1 : p
+ subplot (2, 1, k)
+ plot (t, Y_erie(:,k), 'b', t, y(:,k), 'r')
+endfor
+
+legend ('y measured', 'y simulated', 'location', 'southeast')
+
+
Added: trunk/octave-forge/extra/control-devel/devel/erie.dat
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/erie.dat (rev 0)
+++ trunk/octave-forge/extra/control-devel/devel/erie.dat 2012-05-18 21:52:25 UTC (rev 10462)
@@ -0,0 +1,57 @@
+ 1.0000000e+00 3.7000000e+00 5.9000000e+02 1.4700000e+02 9.3000000e-01 2.6900000e+02 3.1145000e+00 5.8163000e+02 1.4701000e+02 9.5210000e-01 2.6958000e+02 2.5289000e+00 5.7326000e+02 1.4703000e+02 9.7420000e-01 2.7017000e+02 1.9434000e+00 5.6489000e+02 1.4704000e+02 9.9630000e-01 2.7075000e+02 1.5100000e+01 1.1001000e+04 1.5103000e+01 1.0820000e+04 1.5105000e+01 1.0638000e+04 1.5108000e+01 1.0457000e+04
+ 2.0000000e+00 1.0300000e+01 3.5000000e+02 1.3600000e+02 8.9000000e-01 2.3700000e+02 9.0367000e+00 3.5832000e+02 1.3538000e+02 8.5518000e-01 2.3520000e+02 7.7735000e+00 3.6664000e+02 1.3476000e+02 8.2036000e-01 2.3340000e+02 6.5102000e+00 3.7496000e+02 1.3413000e+02 7.8554000e-01 2.3160000e+02 1.1700000e+01 6.8380000e+03 1.1908000e+01 6.6498000e+03 1.2116000e+01 6.4615000e+03 1.2324000e+01 6.2733000e+03
+ 3.0000000e+00 1.2000000e+01 3.5400000e+02 1.3400000e+02 4.2000000e-01 2.3100000e+02 1.2261000e+01 3.4871000e+02 1.3458000e+02 4.7440000e-01 2.3327000e+02 1.2521000e+01 3.4342000e+02 1.3516000e+02 5.2880000e-01 2.3553000e+02 1.2782000e+01 3.3813000e+02 1.3574000e+02 5.8320000e-01 2.3780000e+02 9.2000000e+00 3.8830000e+03 9.3272000e+00 3.8519000e+03 9.4545000e+00 3.8208000e+03 9.5817000e+00 3.7897000e+03
+ 4.0000000e+00 1.9300000e+01 3.3000000e+02 1.3900000e+02 5.3000000e-01 2.1700000e+02 1.6955000e+01 3.4008000e+02 1.3859000e+02 5.7118000e-01 2.1643000e+02 1.4609000e+01 3.5017000e+02 1.3817000e+02 6.1236000e-01 2.1586000e+02 1.2264000e+01 3.6025000e+02 1.3776000e+02 6.5354000e-01 2.1530000e+02 7.1821000e+00 4.2750000e+03 7.0040000e+00 4.4064000e+03 6.8260000e+00 4.5378000e+03 6.6480000e+00 4.6692000e+03
+ 5.0000000e+00 2.2300000e+01 3.1200000e+02 9.9000000e+01 5.3000000e-01 1.4400000e+02 2.3995000e+01 3.1678000e+02 9.9816000e+01 5.7336000e-01 1.4049000e+02 2.5690000e+01 3.2156000e+02 1.0063000e+02 6.1673000e-01 1.3698000e+02 2.7385000e+01 3.2634000e+02 1.0145000e+02 6.6009000e-01 1.3347000e+02 6.3618000e+00 1.6240000e+03 6.1731000e+00 1.9356000e+03 5.9845000e+00 2.2472000e+03 5.7959000e+00 2.5588000e+03
+ 6.0000000e+00 2.3900000e+01 3.0000000e+02 9.2000000e+01 1.9000000e-01 1.2600000e+02 2.3104000e+01 2.9823000e+02 8.8809000e+01 2.2017000e-01 1.2541000e+02 2.2309000e+01 2.9646000e+02 8.5617000e+01 2.5034000e-01 1.2482000e+02 2.1513000e+01 2.9469000e+02 8.2426000e+01 2.8051000e-01 1.2424000e+02 6.8801000e+00 2.2483000e+03 6.4963000e+00 1.9822000e+03 6.1125000e+00 1.7161000e+03 5.7287000e+00 1.4500000e+03
+ 7.0000000e+00 2.0400000e+01 2.9000000e+02 9.3000000e+01 9.0000000e-02 1.2700000e+02 2.0538000e+01 2.8609000e+02 9.3713000e+01 8.9718000e-02 1.2683000e+02 2.0675000e+01 2.8218000e+02 9.4427000e+01 8.9437000e-02 1.2665000e+02 2.0813000e+01 2.7827000e+02 9.5140000e+01 8.9155000e-02 1.2648000e+02 6.8898000e+00 3.9738000e+03 6.8328000e+00 4.0152000e+03 6.7759000e+00 4.0566000e+03 6.7189000e+00 4.0981000e+03
+ 8.0000000e+00 1.4600000e+01 3.0700000e+02 9.8000000e+01 1.6000000e-01 1.3400000e+02 1.5186000e+01 3.0894000e+02 9.7017000e+01 1.9783000e-01 1.3504000e+02 1.5771000e+01 3.1087000e+02 9.6035000e+01 2.3567000e-01 1.3609000e+02 1.6357000e+01 3.1281000e+02 9.5052000e+01 2.7350000e-01 1.3713000e+02 7.8991000e+00 2.0383000e+03 7.6782000e+00 2.4571000e+03 7.4573000e+00 2.8758000e+03 7.2363000e+00 3.2945000e+03
+ 9.0000000e+00 7.5000000e+00 3.2800000e+02 1.0000000e+02 1.6000000e-01 1.3500000e+02 7.7212000e+00 3.3019000e+02 9.7981000e+01 1.8122000e-01 1.3467000e+02 7.9423000e+00 3.3238000e+02 9.5962000e+01 2.0243000e-01 1.3435000e+02 8.1635000e+00 3.3457000e+02 9.3943000e+01 2.2365000e-01 1.3402000e+02 1.0221000e+01 2.1588000e+03 9.9070000e+00 2.0836000e+03 9.5930000e+00 2.0084000e+03 9.2791000e+00 1.9333000e+03
+ 1.0000000e+01 1.9000000e+00 3.2800000e+02 1.0200000e+02 3.4000000e-01 1.4100000e+02 1.1252000e+00 3.2008000e+02 1.0231000e+02 4.3967000e-01 1.3913000e+02 3.5037000e-01 3.1216000e+02 1.0263000e+02 5.3933000e-01 1.3726000e+02 -4.2445000e-01 3.0423000e+02 1.0294000e+02 6.3900000e-01 1.3539000e+02 1.2500000e+01 2.5214000e+03 1.2597000e+01 2.6088000e+03 1.2694000e+01 2.6963000e+03 1.2791000e+01 2.7837000e+03
+ 1.1000000e+01 6.0000000e-01 3.2900000e+02 1.0100000e+02 1.8600000e+00 1.4500000e+02 8.9867000e-02 3.2403000e+02 1.0161000e+02 1.8850000e+00 1.4286000e+02 -4.2027000e-01 3.1906000e+02 1.0223000e+02 1.9099000e+00 1.4071000e+02 -9.3040000e-01 3.1409000e+02 1.0284000e+02 1.9349000e+00 1.3857000e+02 1.2840000e+01 1.0951000e+03 1.2839000e+01 1.5274000e+03 1.2838000e+01 1.9597000e+03 1.2837000e+01 2.3920000e+03
+ 1.2000000e+01 7.0000000e-01 3.1700000e+02 9.4000000e+01 1.7900000e+00 1.3700000e+02 1.7621000e+00 3.2365000e+02 9.6855000e+01 1.7572000e+00 1.3005000e+02 2.8242000e+00 3.3031000e+02 9.9709000e+01 1.7243000e+00 1.2310000e+02 3.8863000e+00 3.3696000e+02 1.0256000e+02 1.6915000e+00 1.1615000e+02 1.2200000e+01 1.3970000e+03 1.2637000e+01 1.3155000e+03 1.3074000e+01 1.2340000e+03 1.3511000e+01 1.1525000e+03
+ 1.3000000e+01 2.6000000e+00 3.3000000e+02 1.0000000e+02 3.0000000e-01 1.4100000e+02 2.8496000e+00 3.2963000e+02 1.0136000e+02 2.6840000e-01 1.3946000e+02 3.0992000e+00 3.2925000e+02 1.0272000e+02 2.3681000e-01 1.3792000e+02 3.3489000e+00 3.2888000e+02 1.0409000e+02 2.0521000e-01 1.3638000e+02 1.3079000e+01 5.8799000e+03 1.2661000e+01 5.9541000e+03 1.2244000e+01 6.0282000e+03 1.1826000e+01 6.1024000e+03
+ 1.4000000e+01 8.0000000e+00 3.7100000e+02 1.0500000e+02 6.3000000e-01 1.6700000e+02 9.1160000e+00 3.7616000e+02 1.0339000e+02 5.3205000e-01 1.6664000e+02 1.0232000e+01 3.8132000e+02 1.0178000e+02 4.3410000e-01 1.6629000e+02 1.1348000e+01 3.8649000e+02 1.0017000e+02 3.3615000e-01 1.6593000e+02 1.0369000e+01 2.8351000e+03 1.0314000e+01 2.6667000e+03 1.0258000e+01 2.4983000e+03 1.0203000e+01 2.3299000e+03
+ 1.5000000e+01 1.3700000e+01 3.6000000e+02 1.0600000e+02 2.5000000e-01 1.6500000e+02 1.4034000e+01 3.5580000e+02 1.0711000e+02 1.8465000e-01 1.6580000e+02 1.4368000e+01 3.5160000e+02 1.0823000e+02 1.1931000e-01 1.6660000e+02 1.4702000e+01 3.4741000e+02 1.0934000e+02 5.3964000e-02 1.6740000e+02 7.9369000e+00 2.1869000e+03 7.9194000e+00 2.2512000e+03 7.9019000e+00 2.3155000e+03 7.8844000e+00 2.3798000e+03
+ 1.6000000e+01 1.8200000e+01 3.3300000e+02 1.0500000e+02 1.6000000e-01 1.5800000e+02 1.8374000e+01 3.2893000e+02 1.0377000e+02 1.4351000e-01 1.5721000e+02 1.8547000e+01 3.2485000e+02 1.0253000e+02 1.2702000e-01 1.5642000e+02 1.8721000e+01 3.2078000e+02 1.0130000e+02 1.1052000e-01 1.5564000e+02 6.9197000e+00 2.6760000e+03 6.9202000e+00 2.7458000e+03 6.9207000e+00 2.8155000e+03 6.9212000e+00 2.8852000e+03
+ 1.7000000e+01 2.3100000e+01 3.4100000e+02 1.0600000e+02 6.0000000e-01 1.5500000e+02 2.3337000e+01 3.3886000e+02 1.0515000e+02 5.5670000e-01 1.5007000e+02 2.3574000e+01 3.3672000e+02 1.0429000e+02 5.1341000e-01 1.4515000e+02 2.3811000e+01 3.3458000e+02 1.0344000e+02 4.7012000e-01 1.4022000e+02 6.0534000e+00 6.5367000e+02 6.1792000e+00 4.5818000e+02 6.3049000e+00 2.6269000e+02 6.4306000e+00 6.7195000e+01
+ 1.8000000e+01 2.4400000e+01 3.1700000e+02 9.6000000e+01 1.5000000e-01 1.3700000e+02 2.5773000e+01 3.2141000e+02 9.6602000e+01 1.7375000e-01 1.3417000e+02 2.7147000e+01 3.2583000e+02 9.7203000e+01 1.9751000e-01 1.3134000e+02 2.8520000e+01 3.3024000e+02 9.7805000e+01 2.2126000e-01 1.2851000e+02 5.6118000e+00 1.2498000e+03 5.6473000e+00 9.6790000e+02 5.6827000e+00 6.8599000e+02 5.7181000e+00 4.0408000e+02
+ 1.9000000e+01 2.0600000e+01 2.8600000e+02 8.2000000e+01 8.0000000e-02 1.2300000e+02 2.0243000e+01 2.7550000e+02 8.1172000e+01 3.7005000e-03 1.2453000e+02 1.9885000e+01 2.6500000e+02 8.0343000e+01 -7.2599000e-02 1.2606000e+02 1.9528000e+01 2.5450000e+02 7.9515000e+01 -1.4890000e-01 1.2759000e+02 5.9670000e+00 1.9248000e+03 5.7545000e+00 1.8157000e+03 5.5421000e+00 1.7067000e+03 5.3297000e+00 1.5976000e+03
+ 2.0000000e+01 1.4100000e+01 3.7000000e+02 9.0000000e+01 2.0000000e-01 1.2600000e+02 1.3765000e+01 3.7158000e+02 8.9533000e+01 1.6860000e-01 1.2957000e+02 1.3431000e+01 3.7317000e+02 8.9066000e+01 1.3720000e-01 1.3315000e+02 1.3096000e+01 3.7475000e+02 8.8598000e+01 1.0581000e-01 1.3672000e+02 7.5455000e+00 1.4240000e+03 7.2517000e+00 1.6983000e+03 6.9578000e+00 1.9726000e+03 6.6640000e+00 2.2469000e+03
+ 2.1000000e+01 7.0000000e+00 4.0600000e+02 9.0000000e+01 2.8000000e-01 1.3100000e+02 7.3473000e+00 4.0357000e+02 8.9741000e+01 3.0234000e-01 1.3288000e+02 7.6945000e+00 4.0115000e+02 8.9482000e+01 3.2468000e-01 1.3475000e+02 8.0418000e+00 3.9872000e+02 8.9223000e+01 3.4702000e-01 1.3663000e+02 8.9543000e+00 3.3762000e+02 8.5805000e+00 5.5835000e+02 8.2067000e+00 7.7908000e+02 7.8329000e+00 9.9981000e+02
+ 2.2000000e+01 1.0000000e+00 3.2800000e+02 9.6000000e+01 3.8000000e-01 1.4200000e+02 8.4949000e-01 3.2930000e+02 9.5490000e+01 3.4574000e-01 1.3899000e+02 6.9898000e-01 3.3061000e+02 9.4980000e+01 3.1149000e-01 1.3598000e+02 5.4847000e-01 3.3191000e+02 9.4470000e+01 2.7723000e-01 1.3297000e+02 1.1534000e+01 1.5653000e+03 1.1704000e+01 1.7501000e+03 1.1874000e+01 1.9350000e+03 1.2044000e+01 2.1198000e+03
+ 2.3000000e+01 9.0000000e-01 3.4300000e+02 1.0000000e+02 5.1000000e-01 1.4300000e+02 1.7834000e+00 3.3280000e+02 9.9195000e+01 5.7671000e-01 1.4450000e+02 2.6668000e+00 3.2260000e+02 9.8391000e+01 6.4342000e-01 1.4600000e+02 3.5501000e+00 3.1240000e+02 9.7586000e+01 7.1013000e-01 1.4749000e+02 1.1803000e+01 1.2296000e+03 1.1819000e+01 1.2381000e+03 1.1836000e+01 1.2466000e+03 1.1853000e+01 1.2551000e+03
+ 2.4000000e+01 1.1000000e+00 4.6500000e+02 1.1800000e+02 1.7600000e+00 1.9100000e+02 2.0522000e+00 4.6886000e+02 1.1714000e+02 1.7622000e+00 1.9036000e+02 3.0044000e+00 4.7272000e+02 1.1629000e+02 1.7643000e+00 1.8972000e+02 3.9566000e+00 4.7658000e+02 1.1543000e+02 1.7665000e+00 1.8908000e+02 1.2029000e+01 1.4752000e+02 1.1823000e+01 3.4673000e+01 1.1618000e+01 -7.8174000e+01 1.1412000e+01 -1.9102000e+02
+ 2.5000000e+01 1.4000000e+00 3.6900000e+02 1.0200000e+02 2.6000000e-01 1.5700000e+02 3.5949000e+00 3.7613000e+02 1.0328000e+02 2.5764000e-01 1.6118000e+02 5.7898000e+00 3.8325000e+02 1.0456000e+02 2.5529000e-01 1.6537000e+02 7.9847000e+00 3.9038000e+02 1.0584000e+02 2.5293000e-01 1.6955000e+02 1.3116000e+01 4.6427000e+03 1.3049000e+01 4.4656000e+03 1.2982000e+01 4.2885000e+03 1.2915000e+01 4.1115000e+03
+ 2.6000000e+01 6.9000000e+00 3.7600000e+02 1.0300000e+02 2.4000000e-01 1.6300000e+02 6.3879000e+00 3.8035000e+02 1.0197000e+02 2.3131000e-01 1.5902000e+02 5.8758000e+00 3.8470000e+02 1.0095000e+02 2.2261000e-01 1.5505000e+02 5.3638000e+00 3.8905000e+02 9.9922000e+01 2.1392000e-01 1.5107000e+02 1.1029000e+01 2.1075000e+03 1.1514000e+01 2.0658000e+03 1.1999000e+01 2.0240000e+03 1.2484000e+01 1.9823000e+03
+ 2.7000000e+01 1.4900000e+01 3.2900000e+02 1.0000000e+02 8.0000000e-02 1.4700000e+02 1.4677000e+01 3.3070000e+02 9.9671000e+01 2.0175000e-02 1.4834000e+02 1.4454000e+01 3.3239000e+02 9.9342000e+01 -3.9651000e-02 1.4967000e+02 1.4230000e+01 3.3409000e+02 9.9013000e+01 -9.9476000e-02 1.5101000e+02 7.1788000e+00 2.6251000e+03 7.0070000e+00 2.5547000e+03 6.8351000e+00 2.4842000e+03 6.6632000e+00 2.4137000e+03
+ 2.8000000e+01 1.9000000e+01 3.5600000e+02 9.9000000e+01 1.7000000e-01 1.4000000e+02 1.9134000e+01 3.5501000e+02 9.8714000e+01 1.7646000e-01 1.3522000e+02 1.9268000e+01 3.5402000e+02 9.8429000e+01 1.8292000e-01 1.3043000e+02 1.9403000e+01 3.5303000e+02 9.8143000e+01 1.8938000e-01 1.2565000e+02 6.9445000e+00 2.9250000e+03 7.0012000e+00 2.9022000e+03 7.0579000e+00 2.8793000e+03 7.1147000e+00 2.8565000e+03
+ 2.9000000e+01 2.3200000e+01 3.1500000e+02 9.8000000e+01 3.1000000e-01 1.3100000e+02 2.4716000e+01 3.2129000e+02 9.7262000e+01 4.0496000e-01 1.2767000e+02 2.6232000e+01 3.2759000e+02 9.6523000e+01 4.9992000e-01 1.2434000e+02 2.7748000e+01 3.3388000e+02 9.5785000e+01 5.9488000e-01 1.2101000e+02 6.6144000e+00 2.0644000e+03 6.8971000e+00 2.2495000e+03 7.1798000e+00 2.4347000e+03 7.4624000e+00 2.6198000e+03
+ 3.0000000e+01 2.4400000e+01 3.0400000e+02 9.2000000e+01 2.4000000e-01 1.2700000e+02 2.4326000e+01 3.0146000e+02 9.3074000e+01 2.0664000e-01 1.2688000e+02 2.4252000e+01 2.9893000e+02 9.4147000e+01 1.7327000e-01 1.2676000e+02 2.4178000e+01 2.9639000e+02 9.5221000e+01 1.3991000e-01 1.2664000e+02 5.4806000e+00 9.1526000e+02 6.2731000e+00 1.3864000e+03 7.0656000e+00 1.8576000e+03 7.8581000e+00 2.3287000e+03
+ 3.1000000e+01 2.1000000e+01 2.9000000e+02 8.9000000e+01 3.8000000e-01 1.2400000e+02 2.1877000e+01 2.7681000e+02 9.1331000e+01 3.8685000e-01 1.2318000e+02 2.2755000e+01 2.6362000e+02 9.3663000e+01 3.9371000e-01 1.2236000e+02 2.3632000e+01 2.5042000e+02 9.5994000e+01 4.0056000e-01 1.2153000e+02 5.9610000e+00 2.1883000e+03 5.8529000e+00 1.9707000e+03 5.7448000e+00 1.7531000e+03 5.6367000e+00 1.5355000e+03
+ 3.2000000e+01 1.4900000e+01 3.2700000e+02 9.7000000e+01 2.5000000e-01 1.2900000e+02 1.4088000e+01 3.2207000e+02 9.8103000e+01 3.1933000e-01 1.3091000e+02 1.3276000e+01 3.1713000e+02 9.9206000e+01 3.8866000e-01 1.3281000e+02 1.2463000e+01 3.1220000e+02 1.0031000e+02 4.5798000e-01 1.3472000e+02 7.8417000e+00 1.6283000e+03 8.0381000e+00 1.8826000e+03 8.2344000e+00 2.1368000e+03 8.4307000e+00 2.3911000e+03
+ 3.3000000e+01 8.6000000e+00 3.0900000e+02 9.2000000e+01 2.7000000e-01 1.2400000e+02 7.5296000e+00 3.0602000e+02 9.2000000e+01 2.6647000e-01 1.2107000e+02 6.4592000e+00 3.0305000e+02 9.1999000e+01 2.6293000e-01 1.1813000e+02 5.3889000e+00 3.0007000e+02 9.1999000e+01 2.5940000e-01 1.1520000e+02 9.3533000e+00 1.3699000e+03 9.0012000e+00 1.5334000e+03 8.6492000e+00 1.6969000e+03 8.2971000e+00 1.8604000e+03
+ 3.4000000e+01 2.5000000e+00 3.4000000e+02 1.0100000e+02 9.2000000e-01 1.5100000e+02 1.9609000e+00 3.4210000e+02 1.0205000e+02 9.3354000e-01 1.5565000e+02 1.4217000e+00 3.4420000e+02 1.0310000e+02 9.4707000e-01 1.6029000e+02 8.8262000e-01 3.4630000e+02 1.0416000e+02 9.6061000e-01 1.6494000e+02 1.1552000e+01 8.9206000e+02 1.1038000e+01 9.3857000e+02 1.0525000e+01 9.8508000e+02 1.0011000e+01 1.0316000e+03
+ 3.5000000e+01 7.0000000e-01 3.1900000e+02 1.0000000e+02 6.1000000e-01 1.4100000e+02 1.8211000e+00 3.1137000e+02 1.0064000e+02 4.9515000e-01 1.3664000e+02 2.9423000e+00 3.0374000e+02 1.0128000e+02 3.8031000e-01 1.3228000e+02 4.0634000e+00 2.9611000e+02 1.0192000e+02 2.6546000e-01 1.2791000e+02 1.2692000e+01 2.9209000e+03 1.2729000e+01 2.8396000e+03 1.2766000e+01 2.7584000e+03 1.2804000e+01 2.6771000e+03
+ 3.6000000e+01 5.0000000e-01 2.7100000e+02 8.5000000e+01 4.2000000e-01 1.2000000e+02 1.7151000e+00 2.7264000e+02 8.3098000e+01 4.3534000e-01 1.1958000e+02 2.9302000e+00 2.7428000e+02 8.1196000e+01 4.5067000e-01 1.1915000e+02 4.1453000e+00 2.7592000e+02 7.9294000e+01 4.6601000e-01 1.1873000e+02 1.1847000e+01 2.9915000e+03 1.1940000e+01 3.1021000e+03 1.2034000e+01 3.2127000e+03 1.2127000e+01 3.3232000e+03
+ 3.7000000e+01 1.7000000e+00 3.1700000e+02 8.9000000e+01 1.3900000e+00 1.3800000e+02 3.6014000e+00 3.1296000e+02 8.8728000e+01 1.4214000e+00 1.3702000e+02 5.5029000e+00 3.0892000e+02 8.8455000e+01 1.4529000e+00 1.3604000e+02 7.4043000e+00 3.0487000e+02 8.8183000e+01 1.4843000e+00 1.3506000e+02 1.0925000e+01 2.2067000e+03 1.0866000e+01 2.4495000e+03 1.0806000e+01 2.6923000e+03 1.0746000e+01 2.9350000e+03
+ 3.8000000e+01 7.1000000e+00 3.3100000e+02 9.9000000e+01 7.6000000e-01 1.4900000e+02 7.0039000e+00 3.2940000e+02 1.0032000e+02 8.1783000e-01 1.5307000e+02 6.9079000e+00 3.2780000e+02 1.0164000e+02 8.7566000e-01 1.5714000e+02 6.8118000e+00 3.2620000e+02 1.0296000e+02 9.3349000e-01 1.6121000e+02 1.0162000e+01 2.9916000e+03 9.9607000e+00 3.1980000e+03 9.7595000e+00 3.4044000e+03 9.5583000e+00 3.6108000e+03
+ 3.9000000e+01 1.3500000e+01 3.0200000e+02 9.2000000e+01 8.1000000e-01 1.3500000e+02 1.3351000e+01 2.9856000e+02 9.4486000e+01 8.0669000e-01 1.3633000e+02 1.3203000e+01 2.9511000e+02 9.6972000e+01 8.0337000e-01 1.3766000e+02 1.3054000e+01 2.9167000e+02 9.9457000e+01 8.0006000e-01 1.3898000e+02 8.2172000e+00 2.9508000e+03 8.7254000e+00 2.9032000e+03 9.2336000e+00 2.8556000e+03 9.7418000e+00 2.8080000e+03
+ 4.0000000e+01 2.0200000e+01 3.2200000e+02 9.2000000e+01 6.9000000e-01 1.3900000e+02 2.1094000e+01 3.3126000e+02 9.3353000e+01 6.6806000e-01 1.3950000e+02 2.1987000e+01 3.4053000e+02 9.4707000e+01 6.4612000e-01 1.4000000e+02 2.2881000e+01 3.4979000e+02 9.6060000e+01 6.2418000e-01 1.4051000e+02 5.4001000e+00 1.8132000e+02 5.5019000e+00 4.3807000e+02 5.6036000e+00 6.9482000e+02 5.7053000e+00 9.5157000e+02
+ 4.1000000e+01 2.3600000e+01 3.0500000e+02 9.3000000e+01 3.0000000e-01 1.2800000e+02 2.2760000e+01 3.1011000e+02 9.4742000e+01 3.0167000e-01 1.3164000e+02 2.1919000e+01 3.1521000e+02 9.6483000e+01 3.0335000e-01 1.3527000e+02 2.1079000e+01 3.2032000e+02 9.8225000e+01 3.0502000e-01 1.3891000e+02 4.9960000e+00 3.1067000e+03 4.5675000e+00 2.9019000e+03 4.1390000e+00 2.6971000e+03 3.7105000e+00 2.4922000e+03
+ 4.2000000e+01 2.2700000e+01 2.9000000e+02 9.0000000e+01 3.0000000e-02 1.2300000e+02 2.2709000e+01 2.8488000e+02 8.8976000e+01 -5.7520000e-02 1.1924000e+02 2.2718000e+01 2.7975000e+02 8.7953000e+01 -1.4504000e-01 1.1548000e+02 2.2727000e+01 2.7463000e+02 8.6929000e+01 -2.3256000e-01 1.1171000e+02 4.6419000e+00 1.0570000e+03 4.8364000e+00 1.1669000e+03 5.0310000e+00 1.2768000e+03 5.2255000e+00 1.3866000e+03
+ 4.3000000e+01 2.0600000e+01 3.0400000e+02 9.1000000e+01 2.0000000e-02 1.2400000e+02 1.9255000e+01 2.9501000e+02 8.9534000e+01 4.0403000e-02 1.2159000e+02 1.7909000e+01 2.8602000e+02 8.8067000e+01 6.0806000e-02 1.1918000e+02 1.6564000e+01 2.7704000e+02 8.6601000e+01 8.1210000e-02 1.1677000e+02 5.5997000e+00 8.3792000e+02 5.4847000e+00 1.0612000e+03 5.3697000e+00 1.2845000e+03 5.2547000e+00 1.5078000e+03
+ 4.4000000e+01 1.6900000e+01 2.9900000e+02 8.8000000e+01 1.0000000e-02 1.2100000e+02 1.6137000e+01 2.8608000e+02 8.7776000e+01 -5.7846000e-02 1.2497000e+02 1.5373000e+01 2.7317000e+02 8.7552000e+01 -1.2569000e-01 1.2894000e+02 1.4610000e+01 2.6025000e+02 8.7328000e+01 -1.9354000e-01 1.3292000e+02 6.8143000e+00 9.8747000e+02 6.5831000e+00 1.2349000e+03 6.3520000e+00 1.4824000e+03 6.1208000e+00 1.7299000e+03
+ 4.5000000e+01 9.6000000e+00 2.9000000e+02 9.1000000e+01 1.8000000e-01 1.2600000e+02 1.1597000e+01 2.8840000e+02 8.9274000e+01 2.1845000e-01 1.3112000e+02 1.3594000e+01 2.8681000e+02 8.7548000e+01 2.5690000e-01 1.3624000e+02 1.5591000e+01 2.8521000e+02 8.5821000e+01 2.9535000e-01 1.4136000e+02 8.8926000e+00 1.8587000e+03 9.0529000e+00 1.9118000e+03 9.2131000e+00 1.9649000e+03 9.3733000e+00 2.0179000e+03
+ 4.6000000e+01 3.2000000e+00 3.3000000e+02 8.9000000e+01 2.2000000e-01 1.3100000e+02 3.3971000e+00 3.2025000e+02 8.8500000e+01 2.3910000e-01 1.2937000e+02 3.5942000e+00 3.1049000e+02 8.8000000e+01 2.5820000e-01 1.2774000e+02 3.7913000e+00 3.0074000e+02 8.7500000e+01 2.7730000e-01 1.2611000e+02 1.0658000e+01 1.3863000e+03 1.0901000e+01 1.6101000e+03 1.1145000e+01 1.8338000e+03 1.1388000e+01 2.0575000e+03
+ 4.7000000e+01 7.0000000e-01 3.3500000e+02 9.6000000e+01 2.6000000e-01 1.4900000e+02 5.0913000e-01 3.3862000e+02 9.6497000e+01 3.1548000e-01 1.5242000e+02 3.1826000e-01 3.4224000e+02 9.6994000e+01 3.7096000e-01 1.5584000e+02 1.2739000e-01 3.4585000e+02 9.7491000e+01 4.2643000e-01 1.5926000e+02 1.2199000e+01 2.0399000e+03 1.1942000e+01 1.9097000e+03 1.1685000e+01 1.7795000e+03 1.1428000e+01 1.6493000e+03
+ 4.8000000e+01 8.0000000e-01 4.2000000e+02 9.8000000e+01 1.0600000e+00 1.5500000e+02 9.0429000e-01 4.1227000e+02 9.7193000e+01 1.0897000e+00 1.5279000e+02 1.0086000e+00 4.0453000e+02 9.6386000e+01 1.1194000e+00 1.5058000e+02 1.1129000e+00 3.9680000e+02 9.5579000e+01 1.1490000e+00 1.4837000e+02 1.2299000e+01 1.5762000e+03 1.1776000e+01 1.6418000e+03 1.1253000e+01 1.7073000e+03 1.0729000e+01 1.7729000e+03
+ 4.9000000e+01 1.9000000e+00 3.2500000e+02 9.1000000e+01 7.3000000e-01 1.4300000e+02 1.0020000e+00 3.3190000e+02 8.9819000e+01 6.6673000e-01 1.4271000e+02 1.0403000e-01 3.3880000e+02 8.8639000e+01 6.0347000e-01 1.4242000e+02 -7.9396000e-01 3.4570000e+02 8.7458000e+01 5.4020000e-01 1.4214000e+02 1.0758000e+01 1.8956000e+03 1.1623000e+01 1.6330000e+03 1.2488000e+01 1.3704000e+03 1.3353000e+01 1.1078000e+03
+ 5.0000000e+01 7.7000000e+00 3.9100000e+02 1.0000000e+02 1.3200000e+00 1.7200000e+02 7.3008000e+00 3.9338000e+02 9.9201000e+01 1.2141000e+00 1.7078000e+02 6.9015000e+00 3.9576000e+02 9.8402000e+01 1.1081000e+00 1.6957000e+02 6.5023000e+00 3.9815000e+02 9.7603000e+01 1.0022000e+00 1.6835000e+02 9.7454000e+00 5.2948000e+02 9.3058000e+00 2.3864000e+02 8.8661000e+00 -5.2197000e+01 8.4265000e+00 -3.4304000e+02
+ 5.1000000e+01 1.4800000e+01 4.9700000e+02 1.0200000e+02 2.0100000e+00 1.6400000e+02 1.4854000e+01 5.0175000e+02 1.0204000e+02 1.9939000e+00 1.6173000e+02 1.4907000e+01 5.0651000e+02 1.0207000e+02 1.9779000e+00 1.5946000e+02 1.4961000e+01 5.1126000e+02 1.0211000e+02 1.9618000e+00 1.5720000e+02 7.7542000e+00 2.1092000e+02 7.4406000e+00 1.6812000e+02 7.1271000e+00 1.2531000e+02 6.8135000e+00 8.2509000e+01
+ 5.2000000e+01 1.9100000e+01 3.7000000e+02 1.0000000e+02 1.0700000e+00 1.5200000e+02 1.9086000e+01 3.7169000e+02 1.0033000e+02 1.0895000e+00 1.4986000e+02 1.9071000e+01 3.7338000e+02 1.0066000e+02 1.1090000e+00 1.4771000e+02 1.9057000e+01 3.7506000e+02 1.0100000e+02 1.1285000e+00 1.4557000e+02 5.3767000e+00 -2.5834000e+02 5.4049000e+00 -1.1028000e+02 5.4331000e+00 3.7790000e+01 5.4613000e+00 1.8585000e+02
+ 5.3000000e+01 2.1900000e+01 3.2400000e+02 9.4000000e+01 8.0000000e-02 1.3900000e+02 2.1301000e+01 3.2326000e+02 9.3173000e+01 1.1597000e-01 1.3890000e+02 2.0702000e+01 3.2252000e+02 9.2347000e+01 1.5194000e-01 1.3880000e+02 2.0102000e+01 3.2178000e+02 9.1520000e+01 1.8792000e-01 1.3870000e+02 4.8905000e+00 1.4666000e+03 4.7310000e+00 1.4452000e+03 4.5714000e+00 1.4237000e+03 4.4119000e+00 1.4023000e+03
+ 5.4000000e+01 2.2200000e+01 3.0800000e+02 9.5000000e+01 1.0000000e-01 1.3700000e+02 2.0978000e+01 3.1130000e+02 9.4547000e+01 3.9649000e-02 1.3627000e+02 1.9756000e+01 3.1459000e+02 9.4094000e+01 -2.0702000e-02 1.3554000e+02 1.8535000e+01 3.1789000e+02 9.3641000e+01 -8.1054000e-02 1.3481000e+02 3.4676000e+00 3.5761000e+02 3.2257000e+00 1.8213000e+02 2.9838000e+00 6.6555000e+00 2.7420000e+00 -1.6882000e+02
+ 5.5000000e+01 2.0500000e+01 3.0700000e+02 8.7000000e+01 1.0000000e-01 1.2700000e+02 2.1131000e+01 3.1003000e+02 8.6635000e+01 3.7252000e-02 1.2554000e+02 2.1761000e+01 3.1307000e+02 8.6271000e+01 -2.5496000e-02 1.2408000e+02 2.2392000e+01 3.1610000e+02 8.5906000e+01 -8.8244000e-02 1.2262000e+02 3.8646000e+00 -7.0276000e+02 3.4459000e+00 -9.3373000e+02 3.0273000e+00 -1.1647000e+03 2.6086000e+00 -1.3957000e+03
+ 5.6000000e+01 1.3000000e+01 3.6200000e+02 1.1100000e+02 2.0000000e-01 1.6500000e+02 1.3693000e+01 3.6783000e+02 1.1214000e+02 2.5013000e-01 1.6998000e+02 1.4386000e+01 3.7366000e+02 1.1329000e+02 3.0025000e-01 1.7495000e+02 1.5080000e+01 3.7950000e+02 1.1443000e+02 3.5038000e-01 1.7993000e+02 8.1236000e+00 1.2863000e+03 8.0351000e+00 1.4553000e+03 7.9465000e+00 1.6243000e+03 7.8579000e+00 1.7934000e+03
+ 5.7000000e+01 7.0000000e+00 3.4700000e+02 1.0700000e+02 1.1500000e+00 1.6100000e+02 7.2496000e+00 3.4432000e+02 1.0703000e+02 1.1775000e+00 1.6111000e+02 7.4993000e+00 3.4164000e+02 1.0706000e+02 1.2049000e+00 1.6122000e+02 7.7489000e+00 3.3897000e+02 1.0708000e+02 1.2324000e+00 1.6133000e+02 9.7466000e+00 -6.3451000e+00 9.5681000e+00 3.0895000e+02 9.3897000e+00 6.2424000e+02 9.2112000e+00 9.3954000e+02
Modified: trunk/octave-forge/extra/control-devel/devel/ident.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/ident.m 2012-05-18 20:51:39 UTC (rev 10461)
+++ trunk/octave-forge/extra/control-devel/devel/ident.m 2012-05-18 21:52:25 UTC (rev 10462)
@@ -33,7 +33,7 @@
nsmp = ns(1);
nobr = fix ((nsmp+1)/(2*(m+l+1)));
if (s > nobr)
- error ("ident: s > nobr");
+ warning ("ident: s > nobr");
endif
nobr = s;
ctrl = 1;
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-05-21 15:28:00
|
Revision: 10476
http://octave.svn.sourceforge.net/octave/?rev=10476&view=rev
Author: paramaniac
Date: 2012-05-21 15:27:49 +0000 (Mon, 21 May 2012)
Log Message:
-----------
control-devel: use new moen4 method for test examples
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/CDplayer.m
trunk/octave-forge/extra/control-devel/devel/Destillation.m
trunk/octave-forge/extra/control-devel/devel/DestillationME.m
trunk/octave-forge/extra/control-devel/devel/Evaporator.m
trunk/octave-forge/extra/control-devel/devel/GlassFurnace.m
trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m
trunk/octave-forge/extra/control-devel/devel/LakeErie.m
trunk/octave-forge/extra/control-devel/devel/pH.m
Modified: trunk/octave-forge/extra/control-devel/devel/CDplayer.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/CDplayer.m 2012-05-21 15:16:30 UTC (rev 10475)
+++ trunk/octave-forge/extra/control-devel/devel/CDplayer.m 2012-05-21 15:27:49 UTC (rev 10476)
@@ -50,7 +50,7 @@
dat = iddata (Y, U)
-[sys, x0] = moen4 (dat, 8) % s=15, n=8
+[sys, x0] = moen4 (dat, 8, 's', 15) % s=15, n=8
[y, t] = lsim (sys, U, [], x0);
Modified: trunk/octave-forge/extra/control-devel/devel/Destillation.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/Destillation.m 2012-05-21 15:16:30 UTC (rev 10475)
+++ trunk/octave-forge/extra/control-devel/devel/Destillation.m 2012-05-21 15:27:49 UTC (rev 10476)
@@ -69,7 +69,7 @@
dat = iddata (Y_dest, U_dest)
-[sys, x0] = ident (dat, 5, 4) % s=5, n=4
+[sys, x0] = moen4 (dat, 's', 5, 'n', 4) % s=5, n=4
[y, t] = lsim (sys, U_dest, [], x0);
Modified: trunk/octave-forge/extra/control-devel/devel/DestillationME.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/DestillationME.m 2012-05-21 15:16:30 UTC (rev 10475)
+++ trunk/octave-forge/extra/control-devel/devel/DestillationME.m 2012-05-21 15:27:49 UTC (rev 10476)
@@ -71,7 +71,7 @@
dat = iddata (Y, U)
-[sys, x0] = ident (dat, 5, 4) % s=5, n=4
+[sys, x0] = moen4 (dat, 's', 5, 'n', 4) % s=5, n=4
x0=x0{1};
Modified: trunk/octave-forge/extra/control-devel/devel/Evaporator.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/Evaporator.m 2012-05-21 15:16:30 UTC (rev 10475)
+++ trunk/octave-forge/extra/control-devel/devel/Evaporator.m 2012-05-21 15:27:49 UTC (rev 10476)
@@ -51,7 +51,7 @@
dat = iddata (Y, U)
-[sys, x0] = ident (dat, 10, 4) % s=10, n=4
+[sys, x0] = moen4 (dat, 's', 10, 'n', 4) % s=10, n=4
[y, t] = lsim (sys, U, [], x0);
Modified: trunk/octave-forge/extra/control-devel/devel/GlassFurnace.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/GlassFurnace.m 2012-05-21 15:16:30 UTC (rev 10475)
+++ trunk/octave-forge/extra/control-devel/devel/GlassFurnace.m 2012-05-21 15:27:49 UTC (rev 10476)
@@ -48,7 +48,7 @@
dat = iddata (Y, U)
-[sys, x0] = moen4 (dat, 5) % s=10, n=5
+[sys, x0] = moen4 (dat, 's', 10, 'n', 5) % s=10, n=5
[y, t] = lsim (sys, U, [], x0);
Modified: trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m 2012-05-21 15:16:30 UTC (rev 10475)
+++ trunk/octave-forge/extra/control-devel/devel/HeatingSystem.m 2012-05-21 15:27:49 UTC (rev 10476)
@@ -75,7 +75,7 @@
'outunit', '°C')
% s=15, n=7
-[sys1, x0] = ident (dat, 15, 7)
+[sys1, x0] = moen4 (dat, 's', 15, 'n', 7)
sys2 = arx (dat, 7, 7) % normally na = nb
[y1, t1] = lsim (sys1, U, [], x0);
Modified: trunk/octave-forge/extra/control-devel/devel/LakeErie.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/LakeErie.m 2012-05-21 15:16:30 UTC (rev 10475)
+++ trunk/octave-forge/extra/control-devel/devel/LakeErie.m 2012-05-21 15:27:49 UTC (rev 10476)
@@ -76,7 +76,7 @@
'outname', {'a. dissolved oxygen';
'b. algae'})
-[sys, x0] = ident (dat, 5, 4) % s=5, n=4
+[sys, x0] = moen4 (dat, 's', 5, 'n', 4) % s=5, n=4
x0=x0{1};
Modified: trunk/octave-forge/extra/control-devel/devel/pH.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/pH.m 2012-05-21 15:16:30 UTC (rev 10475)
+++ trunk/octave-forge/extra/control-devel/devel/pH.m 2012-05-21 15:27:49 UTC (rev 10476)
@@ -51,7 +51,7 @@
dat = iddata (Y, U)
-[sys, x0] = moen4 (dat, 6) % s=15, n=6
+[sys, x0] = moen4 (dat, 's', 15, 'n', 6) % s=15, n=6
[y, t] = lsim (sys, U, [], x0);
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
|
From: <par...@us...> - 2012-06-19 11:41:11
|
Revision: 10640
http://octave.svn.sourceforge.net/octave/?rev=10640&view=rev
Author: paramaniac
Date: 2012-06-19 11:41:05 +0000 (Tue, 19 Jun 2012)
Log Message:
-----------
control-devel: compute initial states for examples
Modified Paths:
--------------
trunk/octave-forge/extra/control-devel/devel/GlassFurnaceARX.m
trunk/octave-forge/extra/control-devel/devel/pHarx.m
Modified: trunk/octave-forge/extra/control-devel/devel/GlassFurnaceARX.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/GlassFurnaceARX.m 2012-06-19 10:43:36 UTC (rev 10639)
+++ trunk/octave-forge/extra/control-devel/devel/GlassFurnaceARX.m 2012-06-19 11:41:05 UTC (rev 10640)
@@ -49,12 +49,13 @@
dat = iddata (Y, U)
%[sys, x0] = ident (dat, 10, 5) % s=10, n=5
-sys = arx (dat, 5)
+%sys = arx (dat, 5)
+[sys, x0] = arx (dat, 5)
%[y, t] = lsim (sys, U, [], x0);
-[y, t] = lsim (sys(:, 1:3), U);
+%[y, t] = lsim (sys(:, 1:3), U);
+[y, t] = lsim (sys, U, [], x0);
-
err = norm (Y - y, 1) / norm (Y, 1)
figure (1)
Modified: trunk/octave-forge/extra/control-devel/devel/pHarx.m
===================================================================
--- trunk/octave-forge/extra/control-devel/devel/pHarx.m 2012-06-19 10:43:36 UTC (rev 10639)
+++ trunk/octave-forge/extra/control-devel/devel/pHarx.m 2012-06-19 11:41:05 UTC (rev 10640)
@@ -52,12 +52,14 @@
dat = iddata (Y, U)
% [sys, x0] = ident (dat, 15, 6) % s=15, n=6
-sys = arx (dat, 6) % normally na = nb
+% sys = arx (dat, 6) % normally na = nb
+[sys, x0] = arx (dat, 6) % normally na = nb
+
% [y, t] = lsim (sys, U, [], x0);
-[y, t] = lsim (sys(:, 1:2), U);
+% [y, t] = lsim (sys(:, 1:2), U);
+[y, t] = lsim (sys, U, [], x0);
-
err = norm (Y - y, 1) / norm (Y, 1)
figure (1)
This was sent by the SourceForge.net collaborative development platform, the world's largest Open Source development site.
|
×
Want the latest updates on software, tech news, and AI?
Get latest updates about software, tech news, and AI from SourceForge directly in your inbox once a month.
Thanks for helping keep SourceForge clean.
X