/usr/share/octave/packages/ocs-0.1.5/tst/tst_daspk.m is in octave-ocs 0.1.5-1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 | ## Copyright (C) 2006,2007,2008,2011 Carlo de Falco
##
## This file is part of:
## OCS - A Circuit Simulator for Octave
##
## OCS 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.
##
## This program 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 this program (see the file LICENSE); if not,
## see <http://www.gnu.org/licenses/>.
##
## author: Carlo de Falco <cdf _AT_ users.sourceforge.net>
## -*- texinfo -*-
##
## @deftypefn{Function File} {[@var{out}] =} tst_daspk @
## (@var{cirstruct},@var{x},@var{t},@var{tol},@var{maxit},@
## @var{pltvars},@var{verbosity},@var{daskopts},@var{dae_fun});
##
## Perform a transient simulation of the system described by
## @var{cirstruct} over the time interval @var{t} using @code{daspk}.
##
## The initial value for the state vector is computed by solving a
## steady state problem at @var{t}(1), with starting guess @var{x}.
##
## @var{tol} and @var{maxit} are parameters passed to
## @code{nls_newton_raphson}.
##
## The output @var{out} will contain the value of the state vector
## at each point of @var{t}.
##
## Extra options for @code{daspk} can be passed as name/value pairs in
## the cellarray @var{daskopts}.
##
## The optional parameter @var{verbosity} controls the amount of
## output produced:
##
## @itemize @minus
## @item if verbosity(1) != 0, information on the progress
## of the algorithm are output at runtime
## @item if verbosity(2) != 0, the plot of the variables whose names
## are listed in @var{pltvars} is
## produced after the computation
## @end itemize
##
## For special purposes one may need to pass modified jacobian and
## residual functions. This can be done via the cell array of function
## handles @var{dae_fun}.
##
## Such functions should have the same input and output
## parameter list as the default sub-functions
## TSTBWEFUNJAC0,TSTBWEFUNRES0, TSTBWEFUNJAC,TSTBWEFUNRES.
##
## @seealso{tst_backward_euler,tst_odepkg,tst_theta_method,nls_newton_raphson,daspk}
##
## @end deftypefn
function [out] = tst_daspk (outstruct, x, t, tol, maxit, pltvars, verbosity, daspkopts, dae_fun)
## FIXME: add input check!
if ((nargin < 6) || (nargin > 9))
error ("tst_daspk: wrong number of input parameters.");
endif
if (! exist ("verbosity"))
verbosity = [0, 0];
elseif (length (verbosity) < 2)
verbosity(2) = 0;
endif
if (verbosity(1))
fprintf (1, "initial value:\n");
endif
daspk_options ("print initial condition info",1);
daspk_options ("maximum order",2);
daspk_options ("initial step size",t(2)-t(1));
daspk_options ("relative tolerance",1e-3);
if (nargin > 8)
for ii = 1:2:length (daspkopts)
daspk_options (daspkopts{ii}, daspkopts{ii+1});
endfor
endif
[A0, B, C] = asm_initialize_system (outstruct, x);
if (nargin > 9)
JAC = @(x) dae_fun{1} (outstruct, x, t(1), B);
RES = @(x) dae_fun{2} (outstruct, x, t(1), B, C);
[x, ii, resnrm] = nls_newton_raphson (x, RES, JAC, tol, maxit, verbosity);
else
[out(:,1), ii] = nls_stationary (outstruct, x, tol, maxit);
endif
if (nargin > 9)
JAC = @(x) dae_fun{3} (outstruct, x, t(1), B);
RES = @(x) dae_fun{4} (outstruct, x, t(1), B, C);
else
JAC = @(x,xdot,t,c) TSTDASPKFUNJAC (outstruct, x, xdot, A0, B, t, c);
RES = @(x,xdot,t) TSTDASPKFUNRES (outstruct, x, xdot, A0, B, C, t);
endif
[out, xdot, istate, msg] = daspk ({RES,JAC}, out(:,1), zeros (size (x)), t);
out = out.';
if (verbosity(2))
utl_plot_by_name (t, out, outstruct, pltvars)
endif
endfunction
## Jacobian for transient problem
function lhs = TSTDASPKFUNJAC (outstruct, x, xdot, A0, B, t, c)
[A1, Jac, res] = asm_build_system (outstruct, x, t);
lhs = (c*(A0+A1) + B + Jac);
endfunction
## Residual for transient problem
function rhs = TSTDASPKFUNRES (outstruct, x, xdot, A0, B, C, t)
[A1, Jac, res] = asm_build_system (outstruct, x, t);
rhs = (A0+A1)*xdot + B*x + C + res;
endfunction
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