Mercurial > octave
annotate libinterp/corefcn/dasrt.cc @ 31605:e88a07dec498 stable
maint: Use macros to begin/end C++ namespaces.
* oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE,
OCTAVE_END_NAMESPACE) that can be used to start/end a namespace.
* mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc,
__dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc,
__ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc,
__magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc,
auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h,
besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h,
call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc,
colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc,
defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc,
display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc,
ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h,
event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc,
fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc,
ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc,
getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc,
gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc,
graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc,
help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h,
interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h,
inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc,
latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h,
lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc,
ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h,
mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc,
oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h,
oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h,
oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h,
oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy,
ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc,
pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc,
qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h,
sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc,
sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h,
stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc,
symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h,
symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h,
text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc,
toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc,
url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc,
variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h,
__delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc,
__init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc,
audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh,
mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc,
cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h,
cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h,
cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc,
ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc,
ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h,
ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc,
ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h,
ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, op-b-b.cc, op-b-bm.cc,
op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc,
op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc,
op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc,
op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc,
op-dm-template.cc, op-dms-template.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc,
op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc,
op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-fm-fcm.cc,
op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc,
op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc,
op-i8-i8.cc, op-int-concat.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc,
op-m-scm.cc, op-m-sm.cc, op-mi.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc,
op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc,
op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc,
op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc,
op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc,
op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc,
op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, ops.h,
anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h,
comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc,
oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h,
pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h,
pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h,
pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h,
pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h,
pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc,
pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc,
pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc,
pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc,
pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc,
pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc,
pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h,
pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h,
range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc,
chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h,
lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h,
oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h,
oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc,
qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc,
randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc,
sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc,
child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc,
file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h,
mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h,
oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc,
oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h,
base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h,
file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc,
lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h,
oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h,
oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h,
oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h,
pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h,
url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.
author | Rik <rik@octave.org> |
---|---|
date | Thu, 01 Dec 2022 14:23:45 -0800 |
parents | c9788d7f6e65 |
children | aac27ad79be6 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2002-2022 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 //////////////////////////////////////////////////////////////////////// |
3990 | 25 |
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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 | |
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51 OCTAVE_BEGIN_NAMESPACE(octave) |
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52 |
4115 | 53 // Global pointers for user defined function required by dasrt. |
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54 static octave_value dasrt_fcn; |
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55 static octave_value dasrt_jac; |
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56 static octave_value dasrt_cf; |
3990 | 57 |
4140 | 58 // Have we warned about imaginary values returned from user function? |
59 static bool warned_fcn_imaginary = false; | |
60 static bool warned_jac_imaginary = false; | |
61 static bool warned_cf_imaginary = false; | |
62 | |
3990 | 63 // Is this a recursive call? |
64 static int call_depth = 0; | |
65 | |
66 static ColumnVector | |
4628 | 67 dasrt_user_f (const ColumnVector& x, const ColumnVector& xdot, |
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68 double t, octave_idx_type&) |
3990 | 69 { |
70 ColumnVector retval; | |
71 | |
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72 error_unless (x.numel () == xdot.numel ()); |
3990 | 73 |
4628 | 74 octave_value_list args; |
3990 | 75 |
3993 | 76 args(2) = t; |
4628 | 77 args(1) = xdot; |
78 args(0) = x; | |
3990 | 79 |
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80 if (dasrt_fcn.is_defined ()) |
3990 | 81 { |
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82 octave_value_list tmp; |
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83 |
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84 try |
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85 { |
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86 tmp = feval (dasrt_fcn, args, 1); |
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87 } |
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88 catch (execution_exception& ee) |
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89 { |
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90 err_user_supplied_eval (ee, "dasrt"); |
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91 } |
3990 | 92 |
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93 if (tmp.empty () || ! tmp(0).is_defined ()) |
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94 err_user_supplied_eval ("dasrt"); |
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95 |
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96 if (! warned_fcn_imaginary && tmp(0).iscomplex ()) |
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97 { |
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98 warning ("dasrt: ignoring imaginary part returned from user-supplied function"); |
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99 warned_fcn_imaginary = true; |
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100 } |
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102 retval = tmp(0).vector_value (); |
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104 if (retval.isempty ()) |
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105 err_user_supplied_eval ("dasrt"); |
3990 | 106 } |
107 | |
108 return retval; | |
109 } | |
110 | |
111 static ColumnVector | |
112 dasrt_user_cf (const ColumnVector& x, double t) | |
113 { | |
114 ColumnVector retval; | |
115 | |
116 octave_value_list args; | |
117 | |
118 args(1) = t; | |
4628 | 119 args(0) = x; |
3990 | 120 |
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121 if (dasrt_cf.is_defined ()) |
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123 octave_value_list tmp; |
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124 |
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125 try |
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126 { |
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127 tmp = feval (dasrt_cf, args, 1); |
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128 } |
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129 catch (execution_exception& ee) |
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130 { |
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131 err_user_supplied_eval (ee, "dasrt"); |
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132 } |
3990 | 133 |
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134 if (tmp.empty () || ! tmp(0).is_defined ()) |
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135 err_user_supplied_eval ("dasrt"); |
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136 |
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137 if (! warned_cf_imaginary && tmp(0).iscomplex ()) |
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138 { |
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139 warning ("dasrt: ignoring imaginary part returned from user-supplied constraint function"); |
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140 warned_cf_imaginary = true; |
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141 } |
4140 | 142 |
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143 retval = tmp(0).vector_value (); |
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145 if (retval.isempty ()) |
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146 err_user_supplied_eval ("dasrt"); |
3990 | 147 } |
148 | |
149 return retval; | |
150 } | |
151 | |
152 static Matrix | |
3993 | 153 dasrt_user_j (const ColumnVector& x, const ColumnVector& xdot, |
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154 double t, double cj) |
3990 | 155 { |
156 Matrix retval; | |
157 | |
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158 error_unless (x.numel () == xdot.numel ()); |
3990 | 159 |
3993 | 160 octave_value_list args; |
161 | |
162 args(3) = cj; | |
163 args(2) = t; | |
4628 | 164 args(1) = xdot; |
165 args(0) = x; | |
3990 | 166 |
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167 if (dasrt_jac.is_defined ()) |
3993 | 168 { |
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169 octave_value_list tmp; |
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170 |
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171 try |
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172 { |
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173 tmp = feval (dasrt_jac, args, 1); |
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174 } |
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175 catch (execution_exception& ee) |
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176 { |
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177 err_user_supplied_eval (ee, "dasrt"); |
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178 } |
3990 | 179 |
3993 | 180 int tlen = tmp.length (); |
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181 if (tlen == 0 || ! tmp(0).is_defined ()) |
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182 err_user_supplied_eval ("dasrt"); |
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183 |
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184 if (! warned_jac_imaginary && tmp(0).iscomplex ()) |
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185 { |
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186 warning ("dasrt: ignoring imaginary part returned from user-supplied jacobian function"); |
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187 warned_jac_imaginary = true; |
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188 } |
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190 retval = tmp(0).matrix_value (); |
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192 if (retval.isempty ()) |
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193 err_user_supplied_eval ("dasrt"); |
3990 | 194 } |
195 | |
196 return retval; | |
197 } | |
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 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 = get_function_handle (interp, c(0), fcn_param_names); |
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384 if (dasrt_fcn.is_defined ()) |
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385 { |
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386 dasrt_jac = get_function_handle (interp, c(1), jac_param_names); |
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388 if (dasrt_jac.is_undefined ()) |
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389 dasrt_fcn = octave_value (); |
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390 } |
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391 } |
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393 error ("dasrt: incorrect number of elements in cell array"); |
5729 | 394 } |
395 | |
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396 if (dasrt_fcn.is_undefined () && ! f_arg.iscell ()) |
5729 | 397 { |
398 if (f_arg.is_function_handle () || f_arg.is_inline_function ()) | |
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399 dasrt_fcn = f_arg; |
5729 | 400 else |
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401 { |
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402 switch (f_arg.rows ()) |
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403 { |
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404 case 1: |
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405 dasrt_fcn = get_function_handle (interp, f_arg, fcn_param_names); |
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406 break; |
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407 |
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408 case 2: |
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409 { |
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410 string_vector tmp = f_arg.string_vector_value (); |
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411 |
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412 dasrt_fcn = get_function_handle (interp, tmp(0), |
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413 fcn_param_names); |
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414 |
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415 if (dasrt_fcn.is_defined ()) |
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416 { |
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417 dasrt_jac = get_function_handle (interp, tmp(1), |
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418 jac_param_names); |
5729 | 419 |
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420 if (dasrt_jac.is_undefined ()) |
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421 dasrt_fcn = octave_value (); |
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422 } |
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423 } |
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424 break; |
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425 |
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426 default: |
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427 error ("dasrt: first arg should be a string or 2-element string array"); |
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428 } |
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429 } |
3990 | 430 } |
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431 |
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432 if (dasrt_fcn.is_undefined ()) |
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433 error ("dasrt: FCN argument is not a valid function name or handle"); |
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434 |
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435 DAERTFunc fcn (dasrt_user_f); |
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436 |
3990 | 437 argp++; |
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438 |
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439 if (args(1).isempty () && args(1).is_double_type ()) |
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440 { |
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441 // Allow [] to skip constraint function. This feature is |
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442 // undocumented now, but was supported by earlier versions. |
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443 |
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444 argp++; |
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445 } |
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446 else |
5729 | 447 { |
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448 if (args(1).is_function_handle () || args(1).is_inline_function () |
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449 || args(1).is_string ()) |
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450 { |
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451 std::list<std::string> cf_param_names ({"x", "t"}); |
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452 |
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453 dasrt_cf = get_function_handle (interp, args(1), cf_param_names); |
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454 } |
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455 |
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456 if (dasrt_cf.is_defined ()) |
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457 { |
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458 argp++; |
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459 |
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460 fcn.set_constraint_function (dasrt_user_cf); |
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461 } |
5729 | 462 } |
3990 | 463 |
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464 if (argp + 3 > nargin) |
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465 print_usage (); |
3990 | 466 |
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467 ColumnVector state = args(argp++).xvector_value ("dasrt: initial state X_0 must be a vector"); |
3990 | 468 |
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469 ColumnVector stateprime = args(argp++).xvector_value ("dasrt: initial derivatives XDOT_0 must be a vector"); |
3990 | 470 |
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471 ColumnVector out_times = args(argp++).xvector_value ("dasrt: output time variable T must be a vector"); |
3990 | 472 |
3994 | 473 double tzero = out_times (0); |
3990 | 474 |
475 ColumnVector crit_times; | |
476 | |
477 bool crit_times_set = false; | |
478 | |
479 if (argp < nargin) | |
480 { | |
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481 crit_times = args(argp).xvector_value ("dasrt: list of critical times T_CRIT must be a vector"); |
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482 argp++; |
3990 | 483 |
484 crit_times_set = true; | |
485 } | |
486 | |
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487 if (dasrt_jac.is_defined ()) |
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488 fcn.set_jacobian_function (dasrt_user_j); |
3990 | 489 |
490 DASRT_result output; | |
491 | |
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492 DASRT dae = DASRT (state, stateprime, tzero, fcn); |
3990 | 493 |
4122 | 494 dae.set_options (dasrt_opts); |
3990 | 495 |
496 if (crit_times_set) | |
497 output = dae.integrate (out_times, crit_times); | |
498 else | |
499 output = dae.integrate (out_times); | |
500 | |
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501 std::string msg = dae.error_message (); |
3997 | 502 |
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503 if (dae.integration_ok ()) |
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504 { |
20892 | 505 retval(0) = output.state (); |
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506 retval(1) = output.deriv (); |
20892 | 507 retval(2) = output.times (); |
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508 } |
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509 else |
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510 { |
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511 if (nargout < 4) |
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512 error ("dasrt: %s", msg.c_str ()); |
20892 | 513 |
514 retval(0) = Matrix (); | |
515 retval(1) = Matrix (); | |
516 retval(2) = Matrix (); | |
3990 | 517 } |
518 | |
20892 | 519 retval(3) = static_cast<double> (dae.integration_state ()); |
520 retval(4) = msg; | |
521 | |
3990 | 522 return retval; |
523 } | |
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524 |
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525 OCTAVE_END_NAMESPACE(octave) |