Mercurial > octave
annotate libinterp/corefcn/dasrt.cc @ 29958:32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
* mk-opts.pl: Surround emitted function definitions with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags.
* mk-builtins.pl: Surround emitted function declarations with
OCTAVE_NAMESPACE_BEGIN and OCTAVE_NAMESPACE_END tags. Emit deprecated
global inline functions.
* __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc,
__expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc,
__lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc,
amd.cc, balance.cc, besselj.cc, bitfcns.cc, bsxfun.cc, call-stack.cc,
ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc,
daspk.cc, dasrt.cc, dassl.cc, data.cc, debug.cc, defaults.cc,
defun.cc, det.cc, dirfns.cc, display.cc, dlmread.cc, dmperm.cc,
dot.cc, eig.cc, ellipj.cc, environment.cc, error.cc, event-manager.cc,
fcn-info.cc, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc,
graphics.cc, gsvd.cc, hash.cc, help.cc, hess.cc, hex2num.cc, input.cc,
interpreter.cc, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc,
load-path.cc, load-save.cc, lookup.cc, ls-oct-text.cc, lsode.cc,
lu.cc, mappers.cc, matrix_type.cc, max.cc, mgorth.cc, nproc.cc,
oct-hist.cc, ordqz.cc, ordschur.cc, pager.cc, pinv.cc, pr-flt-fmt.cc,
pr-output.cc, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc,
rcond.cc, regexp.cc, schur.cc, settings.cc, sighandlers.cc, sparse.cc,
spparms.cc, sqrtm.cc, stream-euler.cc, strfind.cc, strfns.cc,
sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, symrcm.cc, symtab.cc,
syscalls.cc, sysdep.cc, time.cc, toplev.cc, tril.cc, tsearch.cc,
typecast.cc, urlwrite.cc, utils.cc, variables.cc, __delaunayn__.cc,
__fltk_uigetfile__.cc, __glpk__.cc, __init_gnuplot__.cc, __ode15__.cc,
__voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc,
gzip.cc, ov-base.cc, ov-bool-mat.cc, ov-cell.cc, ov-class.cc,
ov-classdef.cc, ov-fcn-handle.cc, ov-java.cc, ov-null-mat.cc,
ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-usr-fcn.cc, ov.cc,
octave.cc, lex.ll, oct-parse.yy, profiler.cc, pt-eval.cc: Surround
DEFUN and DEFMETHOD function defnitions with OCTAVE_NAMESPACE_BEGIN
and OCTAVE_NAMESPACE_END tags.
author | John W. Eaton <jwe@octave.org> |
---|---|
date | Fri, 13 Aug 2021 21:53:51 -0400 |
parents | 7854d5752dd2 |
children | 7d6709900da7 |
rev | line source |
---|---|
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2002-2021 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
3990 | 28 #endif |
29 | |
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30 #include <list> |
3990 | 31 #include <string> |
32 | |
33 #include "DASRT.h" | |
34 #include "lo-mappers.h" | |
35 | |
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36 #include "defun.h" |
3990 | 37 #include "error.h" |
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38 #include "errwarn.h" |
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39 #include "interpreter-private.h" |
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40 #include "ovl.h" |
3990 | 41 #include "ov-fcn.h" |
5729 | 42 #include "ov-cell.h" |
3990 | 43 #include "pager.h" |
44 #include "parse.h" | |
45 #include "unwind-prot.h" | |
46 #include "utils.h" | |
47 #include "variables.h" | |
48 | |
3998 | 49 #include "DASRT-opts.cc" |
50 | |
4115 | 51 // Global pointers for user defined function required by dasrt. |
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52 static octave_value dasrt_fcn; |
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53 static octave_value dasrt_jac; |
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54 static octave_value dasrt_cf; |
3990 | 55 |
4140 | 56 // Have we warned about imaginary values returned from user function? |
57 static bool warned_fcn_imaginary = false; | |
58 static bool warned_jac_imaginary = false; | |
59 static bool warned_cf_imaginary = false; | |
60 | |
3990 | 61 // Is this a recursive call? |
62 static int call_depth = 0; | |
63 | |
64 static ColumnVector | |
4628 | 65 dasrt_user_f (const ColumnVector& x, const ColumnVector& xdot, |
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66 double t, octave_idx_type&) |
3990 | 67 { |
68 ColumnVector retval; | |
69 | |
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70 assert (x.numel () == xdot.numel ()); |
3990 | 71 |
4628 | 72 octave_value_list args; |
3990 | 73 |
3993 | 74 args(2) = t; |
4628 | 75 args(1) = xdot; |
76 args(0) = x; | |
3990 | 77 |
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78 if (dasrt_fcn.is_defined ()) |
3990 | 79 { |
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80 octave_value_list tmp; |
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81 |
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82 try |
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83 { |
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84 tmp = octave::feval (dasrt_fcn, args, 1); |
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85 } |
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86 catch (octave::execution_exception& ee) |
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87 { |
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88 err_user_supplied_eval (ee, "dasrt"); |
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89 } |
3990 | 90 |
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91 if (tmp.empty () || ! tmp(0).is_defined ()) |
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92 err_user_supplied_eval ("dasrt"); |
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93 |
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94 if (! warned_fcn_imaginary && tmp(0).iscomplex ()) |
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95 { |
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96 warning ("dasrt: ignoring imaginary part returned from user-supplied function"); |
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97 warned_fcn_imaginary = true; |
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98 } |
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100 retval = tmp(0).vector_value (); |
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102 if (retval.isempty ()) |
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103 err_user_supplied_eval ("dasrt"); |
3990 | 104 } |
105 | |
106 return retval; | |
107 } | |
108 | |
109 static ColumnVector | |
110 dasrt_user_cf (const ColumnVector& x, double t) | |
111 { | |
112 ColumnVector retval; | |
113 | |
114 octave_value_list args; | |
115 | |
116 args(1) = t; | |
4628 | 117 args(0) = x; |
3990 | 118 |
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119 if (dasrt_cf.is_defined ()) |
3990 | 120 { |
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121 octave_value_list tmp; |
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122 |
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123 try |
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124 { |
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125 tmp = octave::feval (dasrt_cf, args, 1); |
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126 } |
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127 catch (octave::execution_exception& ee) |
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128 { |
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129 err_user_supplied_eval (ee, "dasrt"); |
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130 } |
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132 if (tmp.empty () || ! tmp(0).is_defined ()) |
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133 err_user_supplied_eval ("dasrt"); |
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134 |
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135 if (! warned_cf_imaginary && tmp(0).iscomplex ()) |
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136 { |
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137 warning ("dasrt: ignoring imaginary part returned from user-supplied constraint function"); |
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138 warned_cf_imaginary = true; |
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139 } |
4140 | 140 |
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141 retval = tmp(0).vector_value (); |
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143 if (retval.isempty ()) |
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144 err_user_supplied_eval ("dasrt"); |
3990 | 145 } |
146 | |
147 return retval; | |
148 } | |
149 | |
150 static Matrix | |
3993 | 151 dasrt_user_j (const ColumnVector& x, const ColumnVector& xdot, |
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152 double t, double cj) |
3990 | 153 { |
154 Matrix retval; | |
155 | |
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156 assert (x.numel () == xdot.numel ()); |
3990 | 157 |
3993 | 158 octave_value_list args; |
159 | |
160 args(3) = cj; | |
161 args(2) = t; | |
4628 | 162 args(1) = xdot; |
163 args(0) = x; | |
3990 | 164 |
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165 if (dasrt_jac.is_defined ()) |
3993 | 166 { |
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167 octave_value_list tmp; |
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168 |
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169 try |
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170 { |
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171 tmp = octave::feval (dasrt_jac, args, 1); |
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172 } |
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173 catch (octave::execution_exception& ee) |
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174 { |
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175 err_user_supplied_eval (ee, "dasrt"); |
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176 } |
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3993 | 178 int tlen = tmp.length (); |
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179 if (tlen == 0 || ! tmp(0).is_defined ()) |
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180 err_user_supplied_eval ("dasrt"); |
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181 |
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182 if (! warned_jac_imaginary && tmp(0).iscomplex ()) |
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183 { |
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184 warning ("dasrt: ignoring imaginary part returned from user-supplied jacobian function"); |
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185 warned_jac_imaginary = true; |
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186 } |
4140 | 187 |
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188 retval = tmp(0).matrix_value (); |
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190 if (retval.isempty ()) |
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191 err_user_supplied_eval ("dasrt"); |
3990 | 192 } |
193 | |
194 return retval; | |
195 } | |
196 | |
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197 OCTAVE_NAMESPACE_BEGIN |
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198 |
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199 DEFMETHOD (dasrt, interp, args, nargout, |
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200 doc: /* -*- texinfo -*- |
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201 @deftypefn {} {[@var{x}, @var{xdot}, @var{t_out}, @var{istat}, @var{msg}] =} dasrt (@var{fcn}, @var{g}, @var{x_0}, @var{xdot_0}, @var{t}) |
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202 @deftypefnx {} {@dots{} =} dasrt (@var{fcn}, @var{g}, @var{x_0}, @var{xdot_0}, @var{t}, @var{t_crit}) |
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203 @deftypefnx {} {@dots{} =} dasrt (@var{fcn}, @var{x_0}, @var{xdot_0}, @var{t}) |
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204 @deftypefnx {} {@dots{} =} dasrt (@var{fcn}, @var{x_0}, @var{xdot_0}, @var{t}, @var{t_crit}) |
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205 Solve a set of differential-algebraic equations. |
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206 |
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207 @code{dasrt} solves the set of equations |
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208 @tex |
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209 $$ 0 = f (x, \dot{x}, t) $$ |
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210 with |
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211 $$ x(t_0) = x_0, \dot{x}(t_0) = \dot{x}_0 $$ |
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212 @end tex |
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213 @ifnottex |
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214 |
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215 @example |
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216 0 = f (x, xdot, t) |
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217 @end example |
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218 |
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219 @noindent |
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220 with |
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221 |
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222 @example |
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223 x(t_0) = x_0, xdot(t_0) = xdot_0 |
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224 @end example |
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225 |
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226 @end ifnottex |
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227 with functional stopping criteria (root solving). |
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228 |
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229 The solution is returned in the matrices @var{x} and @var{xdot}, |
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230 with each row in the result matrices corresponding to one of the |
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231 elements in the vector @var{t_out}. The first element of @var{t} |
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232 should be @math{t_0} and correspond to the initial state of the |
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233 system @var{x_0} and its derivative @var{xdot_0}, so that the first |
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234 row of the output @var{x} is @var{x_0} and the first row |
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235 of the output @var{xdot} is @var{xdot_0}. |
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236 |
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237 The vector @var{t} provides an upper limit on the length of the |
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238 integration. If the stopping condition is met, the vector |
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239 @var{t_out} will be shorter than @var{t}, and the final element of |
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240 @var{t_out} will be the point at which the stopping condition was met, |
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241 and may not correspond to any element of the vector @var{t}. |
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242 |
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243 The first argument, @var{fcn}, is a string, inline, or function handle |
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244 that names the function @math{f} to call to compute the vector of |
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245 residuals for the set of equations. It must have the form |
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246 |
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247 @example |
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248 @var{res} = f (@var{x}, @var{xdot}, @var{t}) |
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249 @end example |
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250 |
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251 @noindent |
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252 in which @var{x}, @var{xdot}, and @var{res} are vectors, and @var{t} is a |
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253 scalar. |
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254 |
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255 If @var{fcn} is a two-element string array or a two-element cell array |
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256 of strings, inline functions, or function handles, the first element names |
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257 the function @math{f} described above, and the second element names a |
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258 function to compute the modified Jacobian |
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259 |
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260 @tex |
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261 $$ |
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262 J = {\partial f \over \partial x} |
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263 + c {\partial f \over \partial \dot{x}} |
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264 $$ |
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265 @end tex |
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266 @ifnottex |
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267 |
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268 @example |
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269 @group |
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270 df df |
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271 jac = -- + c ------ |
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272 dx d xdot |
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273 @end group |
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274 @end example |
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275 |
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276 @end ifnottex |
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277 |
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278 The modified Jacobian function must have the form |
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279 |
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280 @example |
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281 @group |
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282 |
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283 @var{jac} = j (@var{x}, @var{xdot}, @var{t}, @var{c}) |
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284 |
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285 @end group |
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286 @end example |
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287 |
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288 The optional second argument names a function that defines the |
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289 constraint functions whose roots are desired during the integration. |
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290 This function must have the form |
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291 |
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292 @example |
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293 @var{g_out} = g (@var{x}, @var{t}) |
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294 @end example |
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295 |
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296 @noindent |
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297 and return a vector of the constraint function values. |
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298 If the value of any of the constraint functions changes sign, @sc{dasrt} |
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299 will attempt to stop the integration at the point of the sign change. |
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300 |
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301 If the name of the constraint function is omitted, @code{dasrt} solves |
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302 the same problem as @code{daspk} or @code{dassl}. |
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303 |
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304 Note that because of numerical errors in the constraint functions |
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305 due to round-off and integration error, @sc{dasrt} may return false |
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306 roots, or return the same root at two or more nearly equal values of |
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307 @var{T}. If such false roots are suspected, the user should consider |
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308 smaller error tolerances or higher precision in the evaluation of the |
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309 constraint functions. |
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310 |
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311 If a root of some constraint function defines the end of the problem, |
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312 the input to @sc{dasrt} should nevertheless allow integration to a |
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313 point slightly past that root, so that @sc{dasrt} can locate the root |
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314 by interpolation. |
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315 |
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316 The third and fourth arguments to @code{dasrt} specify the initial |
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317 condition of the states and their derivatives, and the fourth argument |
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318 specifies a vector of output times at which the solution is desired, |
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319 including the time corresponding to the initial condition. |
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320 |
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321 The set of initial states and derivatives are not strictly required to |
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322 be consistent. In practice, however, @sc{dassl} is not very good at |
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323 determining a consistent set for you, so it is best if you ensure that |
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324 the initial values result in the function evaluating to zero. |
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325 |
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326 The sixth argument is optional, and may be used to specify a set of |
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327 times that the DAE solver should not integrate past. It is useful for |
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328 avoiding difficulties with singularities and points where there is a |
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329 discontinuity in the derivative. |
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330 |
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331 After a successful computation, the value of @var{istate} will be |
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332 greater than zero (consistent with the Fortran version of @sc{dassl}). |
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333 |
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334 If the computation is not successful, the value of @var{istate} will be |
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335 less than zero and @var{msg} will contain additional information. |
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336 |
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337 You can use the function @code{dasrt_options} to set optional |
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338 parameters for @code{dasrt}. |
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339 @seealso{dasrt_options, daspk, dasrt, lsode} |
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340 @end deftypefn */) |
3990 | 341 { |
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342 int nargin = args.length (); |
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343 |
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344 if (nargin < 4 || nargin > 6) |
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345 print_usage (); |
3990 | 346 |
4140 | 347 warned_fcn_imaginary = false; |
348 warned_jac_imaginary = false; | |
349 warned_cf_imaginary = false; | |
350 | |
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351 octave_value_list retval (5); |
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352 |
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353 octave::unwind_protect_var<int> restore_var (call_depth); |
3990 | 354 call_depth++; |
355 | |
356 if (call_depth > 1) | |
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357 error ("dasrt: invalid recursive call"); |
3990 | 358 |
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359 int argp = 0; |
5729 | 360 std::string fcn_name, fname, jac_name, jname; |
3990 | 361 |
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362 dasrt_fcn = octave_value (); |
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363 dasrt_jac = octave_value (); |
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364 dasrt_cf = octave_value (); |
3990 | 365 |
366 // Check all the arguments. Are they the right animals? | |
367 | |
368 // Here's where I take care of f and j in one shot: | |
369 | |
370 octave_value f_arg = args(0); | |
371 | |
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372 std::list<std::string> fcn_param_names ({"x", "xdot", "t"}); |
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373 std::list<std::string> jac_param_names ({"x", "xdot", "t", "cj"}); |
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374 |
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375 if (f_arg.iscell ()) |
3990 | 376 { |
5729 | 377 Cell c = f_arg.cell_value (); |
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378 if (c.numel () == 1) |
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379 f_arg = c(0); |
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380 else if (c.numel () == 2) |
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381 { |
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382 dasrt_fcn = octave::get_function_handle (interp, c(0), |
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383 fcn_param_names); |
5729 | 384 |
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385 if (dasrt_fcn.is_defined ()) |
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386 { |
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387 dasrt_jac = octave::get_function_handle (interp, c(1), |
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388 jac_param_names); |
5729 | 389 |
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390 if (dasrt_jac.is_undefined ()) |
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391 dasrt_fcn = octave_value (); |
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392 } |
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393 } |
5729 | 394 else |
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395 error ("dasrt: incorrect number of elements in cell array"); |
5729 | 396 } |
397 | |
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398 if (dasrt_fcn.is_undefined () && ! f_arg.iscell ()) |
5729 | 399 { |
400 if (f_arg.is_function_handle () || f_arg.is_inline_function ()) | |
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401 dasrt_fcn = f_arg; |
5729 | 402 else |
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403 { |
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404 switch (f_arg.rows ()) |
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405 { |
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406 case 1: |
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407 dasrt_fcn = octave::get_function_handle (interp, f_arg, |
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408 fcn_param_names); |
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409 break; |
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410 |
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411 case 2: |
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412 { |
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413 string_vector tmp = f_arg.string_vector_value (); |
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414 |
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415 dasrt_fcn = octave::get_function_handle (interp, tmp(0), |
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416 fcn_param_names); |
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417 |
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418 if (dasrt_fcn.is_defined ()) |
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419 { |
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420 dasrt_jac = octave::get_function_handle (interp, tmp(1), |
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421 jac_param_names); |
5729 | 422 |
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423 if (dasrt_jac.is_undefined ()) |
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424 dasrt_fcn = octave_value (); |
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425 } |
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426 } |
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427 break; |
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428 |
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429 default: |
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430 error ("dasrt: first arg should be a string or 2-element string array"); |
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431 } |
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432 } |
3990 | 433 } |
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434 |
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435 if (dasrt_fcn.is_undefined ()) |
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436 error ("dasrt: FCN argument is not a valid function name or handle"); |
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437 |
3990 | 438 DAERTFunc func (dasrt_user_f); |
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439 |
3990 | 440 argp++; |
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441 |
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442 if (args(1).isempty () && args(1).is_double_type ()) |
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443 { |
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444 // Allow [] to skip constraint function. This feature is |
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445 // undocumented now, but was supported by earlier versions. |
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446 |
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447 argp++; |
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448 } |
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449 else |
5729 | 450 { |
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451 if (args(1).is_function_handle () || args(1).is_inline_function () |
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452 || args(1).is_string ()) |
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453 { |
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454 std::list<std::string> cf_param_names ({"x", "t"}); |
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455 |
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456 dasrt_cf = octave::get_function_handle (interp, args(1), cf_param_names); |
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457 } |
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458 |
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459 if (dasrt_cf.is_defined ()) |
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460 { |
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461 argp++; |
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462 |
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463 func.set_constraint_function (dasrt_user_cf); |
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464 } |
5729 | 465 } |
3990 | 466 |
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467 if (argp + 3 > nargin) |
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468 print_usage (); |
3990 | 469 |
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470 ColumnVector state = args(argp++).xvector_value ("dasrt: initial state X_0 must be a vector"); |
3990 | 471 |
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472 ColumnVector stateprime = args(argp++).xvector_value ("dasrt: initial derivatives XDOT_0 must be a vector"); |
3990 | 473 |
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474 ColumnVector out_times = args(argp++).xvector_value ("dasrt: output time variable T must be a vector"); |
3990 | 475 |
3994 | 476 double tzero = out_times (0); |
3990 | 477 |
478 ColumnVector crit_times; | |
479 | |
480 bool crit_times_set = false; | |
481 | |
482 if (argp < nargin) | |
483 { | |
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484 crit_times = args(argp).xvector_value ("dasrt: list of critical times T_CRIT must be a vector"); |
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485 argp++; |
3990 | 486 |
487 crit_times_set = true; | |
488 } | |
489 | |
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490 if (dasrt_jac.is_defined ()) |
3990 | 491 func.set_jacobian_function (dasrt_user_j); |
492 | |
493 DASRT_result output; | |
494 | |
3992 | 495 DASRT dae = DASRT (state, stateprime, tzero, func); |
3990 | 496 |
4122 | 497 dae.set_options (dasrt_opts); |
3990 | 498 |
499 if (crit_times_set) | |
500 output = dae.integrate (out_times, crit_times); | |
501 else | |
502 output = dae.integrate (out_times); | |
503 | |
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504 std::string msg = dae.error_message (); |
3997 | 505 |
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506 if (dae.integration_ok ()) |
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507 { |
20892 | 508 retval(0) = output.state (); |
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509 retval(1) = output.deriv (); |
20892 | 510 retval(2) = output.times (); |
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511 } |
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512 else |
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513 { |
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514 if (nargout < 4) |
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515 error ("dasrt: %s", msg.c_str ()); |
20892 | 516 |
517 retval(0) = Matrix (); | |
518 retval(1) = Matrix (); | |
519 retval(2) = Matrix (); | |
3990 | 520 } |
521 | |
20892 | 522 retval(3) = static_cast<double> (dae.integration_state ()); |
523 retval(4) = msg; | |
524 | |
3990 | 525 return retval; |
526 } | |
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527 |
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528 OCTAVE_NAMESPACE_END |