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annotate libinterp/corefcn/quadcc.cc @ 17787:175b392e91fe

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Use GNU style coding conventions for code in libinterp/ * libinterp/corefcn/Cell.h, libinterp/corefcn/__contourc__.cc, libinterp/corefcn/__dispatch__.cc, libinterp/corefcn/__lin_interpn__.cc, libinterp/corefcn/__pchip_deriv__.cc, libinterp/corefcn/__qp__.cc, libinterp/corefcn/balance.cc, libinterp/corefcn/besselj.cc, libinterp/corefcn/betainc.cc, libinterp/corefcn/bitfcns.cc, libinterp/corefcn/bsxfun.cc, libinterp/corefcn/c-file-ptr-stream.cc, libinterp/corefcn/c-file-ptr-stream.h, libinterp/corefcn/cellfun.cc, libinterp/corefcn/colloc.cc, libinterp/corefcn/comment-list.h, libinterp/corefcn/conv2.cc, libinterp/corefcn/daspk.cc, libinterp/corefcn/dasrt.cc, libinterp/corefcn/dassl.cc, libinterp/corefcn/data.cc, libinterp/corefcn/debug.cc, libinterp/corefcn/defaults.cc, libinterp/corefcn/defaults.in.h, libinterp/corefcn/defun-int.h, libinterp/corefcn/defun.cc, libinterp/corefcn/det.cc, libinterp/corefcn/dirfns.cc, libinterp/corefcn/display.cc, libinterp/corefcn/dlmread.cc, libinterp/corefcn/dot.cc, libinterp/corefcn/dynamic-ld.cc, libinterp/corefcn/dynamic-ld.h, libinterp/corefcn/eig.cc, libinterp/corefcn/ellipj.cc, libinterp/corefcn/error.cc, libinterp/corefcn/error.h, libinterp/corefcn/event-queue.h, libinterp/corefcn/fft.cc, libinterp/corefcn/fft2.cc, libinterp/corefcn/fftn.cc, libinterp/corefcn/file-io.cc, libinterp/corefcn/filter.cc, libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc, libinterp/corefcn/gcd.cc, libinterp/corefcn/getgrent.cc, libinterp/corefcn/getpwent.cc, libinterp/corefcn/getrusage.cc, libinterp/corefcn/givens.cc, libinterp/corefcn/gl-render.cc, libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/gl2ps-renderer.h, libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h, libinterp/corefcn/gripes.cc, libinterp/corefcn/gripes.h, libinterp/corefcn/help.cc, libinterp/corefcn/hess.cc, libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc, libinterp/corefcn/input.h, libinterp/corefcn/inv.cc, libinterp/corefcn/jit-ir.h, libinterp/corefcn/jit-typeinfo.cc, libinterp/corefcn/jit-typeinfo.h, libinterp/corefcn/jit-util.h, libinterp/corefcn/kron.cc, libinterp/corefcn/load-path.cc, libinterp/corefcn/load-path.h, libinterp/corefcn/load-save.cc, libinterp/corefcn/load-save.h, libinterp/corefcn/lookup.cc, libinterp/corefcn/ls-ascii-helper.cc, libinterp/corefcn/ls-hdf5.cc, libinterp/corefcn/ls-hdf5.h, libinterp/corefcn/ls-mat-ascii.cc, libinterp/corefcn/ls-mat-ascii.h, libinterp/corefcn/ls-mat4.cc, libinterp/corefcn/ls-mat5.cc, libinterp/corefcn/ls-mat5.h, libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lsode.cc, libinterp/corefcn/lu.cc, libinterp/corefcn/luinc.cc, libinterp/corefcn/mappers.cc, libinterp/corefcn/matrix_type.cc, libinterp/corefcn/max.cc, libinterp/corefcn/md5sum.cc, libinterp/corefcn/mex.cc, libinterp/corefcn/mexproto.h, libinterp/corefcn/mgorth.cc, libinterp/corefcn/mxarray.in.h, libinterp/corefcn/nproc.cc, libinterp/corefcn/oct-hist.cc, libinterp/corefcn/oct-lvalue.h, libinterp/corefcn/oct-map.cc, libinterp/corefcn/oct-map.h, libinterp/corefcn/oct-obj.h, libinterp/corefcn/oct-prcstrm.h, libinterp/corefcn/oct-stdstrm.h, libinterp/corefcn/oct-stream.cc, libinterp/corefcn/oct-stream.h, libinterp/corefcn/octave-link.cc, libinterp/corefcn/octave-link.h, libinterp/corefcn/pager.cc, libinterp/corefcn/pinv.cc, libinterp/corefcn/pr-output.cc, libinterp/corefcn/procstream.h, libinterp/corefcn/profiler.cc, libinterp/corefcn/pt-jit.cc, libinterp/corefcn/pt-jit.h, libinterp/corefcn/quad.cc, libinterp/corefcn/quadcc.cc, libinterp/corefcn/qz.cc, libinterp/corefcn/rand.cc, libinterp/corefcn/rcond.cc, libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc, libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sighandlers.h, libinterp/corefcn/sparse-xdiv.cc, libinterp/corefcn/sparse-xdiv.h, libinterp/corefcn/sparse-xpow.cc, libinterp/corefcn/sparse.cc, libinterp/corefcn/spparms.cc, libinterp/corefcn/sqrtm.cc, libinterp/corefcn/str2double.cc, libinterp/corefcn/strfind.cc, libinterp/corefcn/strfns.cc, libinterp/corefcn/sub2ind.cc, libinterp/corefcn/svd.cc, libinterp/corefcn/syl.cc, libinterp/corefcn/symtab.cc, libinterp/corefcn/symtab.h, libinterp/corefcn/syscalls.cc, libinterp/corefcn/sysdep.cc, libinterp/corefcn/sysdep.h, libinterp/corefcn/time.cc, libinterp/corefcn/toplev.cc, libinterp/corefcn/toplev.h, libinterp/corefcn/tril.cc, libinterp/corefcn/txt-eng-ft.cc, libinterp/corefcn/txt-eng-ft.h, libinterp/corefcn/txt-eng.h, libinterp/corefcn/typecast.cc, libinterp/corefcn/urlwrite.cc, libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc, libinterp/corefcn/variables.h, libinterp/corefcn/xdiv.cc, libinterp/corefcn/xdiv.h, libinterp/corefcn/xnorm.h, libinterp/corefcn/xpow.cc, libinterp/corefcn/xpow.h, libinterp/corefcn/zfstream.cc, libinterp/corefcn/zfstream.h, libinterp/dldfcn/__delaunayn__.cc, libinterp/dldfcn/__dsearchn__.cc, libinterp/dldfcn/__eigs__.cc, libinterp/dldfcn/__fltk_uigetfile__.cc, libinterp/dldfcn/__glpk__.cc, libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/__init_gnuplot__.cc, libinterp/dldfcn/__magick_read__.cc, libinterp/dldfcn/__voronoi__.cc, libinterp/dldfcn/amd.cc, libinterp/dldfcn/ccolamd.cc, libinterp/dldfcn/chol.cc, libinterp/dldfcn/colamd.cc, libinterp/dldfcn/convhulln.cc, libinterp/dldfcn/dmperm.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc, libinterp/dldfcn/symbfact.cc, libinterp/dldfcn/symrcm.cc, libinterp/dldfcn/tsearch.cc, libinterp/octave-value/ov-base-diag.cc, libinterp/octave-value/ov-base-diag.h, libinterp/octave-value/ov-base-int.cc, libinterp/octave-value/ov-base-int.h, libinterp/octave-value/ov-base-mat.h, libinterp/octave-value/ov-base-scalar.cc, libinterp/octave-value/ov-base-scalar.h, libinterp/octave-value/ov-base-sparse.cc, libinterp/octave-value/ov-base-sparse.h, libinterp/octave-value/ov-base.cc, libinterp/octave-value/ov-base.h, libinterp/octave-value/ov-bool-mat.cc, libinterp/octave-value/ov-bool-mat.h, libinterp/octave-value/ov-bool-sparse.cc, libinterp/octave-value/ov-bool-sparse.h, libinterp/octave-value/ov-bool.cc, libinterp/octave-value/ov-bool.h, libinterp/octave-value/ov-builtin.cc, libinterp/octave-value/ov-builtin.h, libinterp/octave-value/ov-cell.cc, libinterp/octave-value/ov-cell.h, libinterp/octave-value/ov-ch-mat.cc, libinterp/octave-value/ov-ch-mat.h, libinterp/octave-value/ov-class.cc, libinterp/octave-value/ov-class.h, libinterp/octave-value/ov-colon.h, libinterp/octave-value/ov-complex.cc, libinterp/octave-value/ov-complex.h, libinterp/octave-value/ov-cx-diag.cc, libinterp/octave-value/ov-cx-diag.h, libinterp/octave-value/ov-cx-mat.cc, libinterp/octave-value/ov-cx-mat.h, libinterp/octave-value/ov-cx-sparse.cc, libinterp/octave-value/ov-cx-sparse.h, libinterp/octave-value/ov-dld-fcn.h, libinterp/octave-value/ov-fcn-handle.cc, libinterp/octave-value/ov-fcn-handle.h, libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-fcn-inline.h, libinterp/octave-value/ov-fcn.h, libinterp/octave-value/ov-float.cc, libinterp/octave-value/ov-float.h, libinterp/octave-value/ov-flt-complex.cc, libinterp/octave-value/ov-flt-complex.h, libinterp/octave-value/ov-flt-cx-diag.cc, libinterp/octave-value/ov-flt-cx-diag.h, libinterp/octave-value/ov-flt-cx-mat.cc, libinterp/octave-value/ov-flt-cx-mat.h, libinterp/octave-value/ov-flt-re-diag.cc, libinterp/octave-value/ov-flt-re-diag.h, libinterp/octave-value/ov-flt-re-mat.cc, libinterp/octave-value/ov-flt-re-mat.h, libinterp/octave-value/ov-int16.cc, libinterp/octave-value/ov-int32.cc, libinterp/octave-value/ov-int64.cc, libinterp/octave-value/ov-int8.cc, libinterp/octave-value/ov-intx.h, libinterp/octave-value/ov-java.cc, libinterp/octave-value/ov-lazy-idx.h, libinterp/octave-value/ov-mex-fcn.cc, libinterp/octave-value/ov-mex-fcn.h, libinterp/octave-value/ov-null-mat.cc, libinterp/octave-value/ov-null-mat.h, libinterp/octave-value/ov-oncleanup.cc, libinterp/octave-value/ov-perm.cc, libinterp/octave-value/ov-perm.h, libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-range.h, libinterp/octave-value/ov-re-diag.cc, libinterp/octave-value/ov-re-diag.h, libinterp/octave-value/ov-re-mat.cc, libinterp/octave-value/ov-re-mat.h, libinterp/octave-value/ov-re-sparse.cc, libinterp/octave-value/ov-re-sparse.h, libinterp/octave-value/ov-scalar.cc, libinterp/octave-value/ov-scalar.h, libinterp/octave-value/ov-str-mat.cc, libinterp/octave-value/ov-str-mat.h, libinterp/octave-value/ov-struct.cc, libinterp/octave-value/ov-struct.h, libinterp/octave-value/ov-type-conv.h, libinterp/octave-value/ov-typeinfo.cc, libinterp/octave-value/ov-typeinfo.h, libinterp/octave-value/ov-uint16.cc, libinterp/octave-value/ov-uint32.cc, libinterp/octave-value/ov-uint64.cc, libinterp/octave-value/ov-uint8.cc, libinterp/octave-value/ov-usr-fcn.cc, libinterp/octave-value/ov-usr-fcn.h, libinterp/octave-value/ov.cc, libinterp/octave-value/ov.h, libinterp/octave.cc, libinterp/operators/op-b-bm.cc, libinterp/operators/op-b-sbm.cc, libinterp/operators/op-bm-b.cc, libinterp/operators/op-bm-bm.cc, libinterp/operators/op-cdm-cdm.cc, libinterp/operators/op-chm.cc, libinterp/operators/op-class.cc, libinterp/operators/op-cm-cm.cc, libinterp/operators/op-cm-cs.cc, libinterp/operators/op-cm-s.cc, libinterp/operators/op-cm-scm.cc, libinterp/operators/op-cm-sm.cc, libinterp/operators/op-cs-cm.cc, libinterp/operators/op-cs-cs.cc, libinterp/operators/op-cs-scm.cc, libinterp/operators/op-cs-sm.cc, libinterp/operators/op-dm-dm.cc, libinterp/operators/op-dm-scm.cc, libinterp/operators/op-double-conv.cc, libinterp/operators/op-fcdm-fcdm.cc, libinterp/operators/op-fcm-fcm.cc, libinterp/operators/op-fcm-fcs.cc, libinterp/operators/op-fcm-fm.cc, libinterp/operators/op-fcm-fs.cc, libinterp/operators/op-fcs-fcm.cc, libinterp/operators/op-fcs-fcs.cc, libinterp/operators/op-fcs-fm.cc, libinterp/operators/op-fcs-fs.cc, libinterp/operators/op-fdm-fdm.cc, libinterp/operators/op-float-conv.cc, libinterp/operators/op-fm-fcm.cc, libinterp/operators/op-fm-fcs.cc, libinterp/operators/op-fm-fm.cc, libinterp/operators/op-fm-fs.cc, libinterp/operators/op-fs-fcm.cc, libinterp/operators/op-fs-fcs.cc, libinterp/operators/op-fs-fm.cc, libinterp/operators/op-fs-fs.cc, libinterp/operators/op-m-cm.cc, libinterp/operators/op-m-cs.cc, libinterp/operators/op-m-m.cc, libinterp/operators/op-m-s.cc, libinterp/operators/op-m-scm.cc, libinterp/operators/op-m-sm.cc, libinterp/operators/op-pm-scm.cc, libinterp/operators/op-range.cc, libinterp/operators/op-s-cm.cc, libinterp/operators/op-s-cs.cc, libinterp/operators/op-s-scm.cc, libinterp/operators/op-sbm-b.cc, libinterp/operators/op-sbm-bm.cc, libinterp/operators/op-sbm-sbm.cc, libinterp/operators/op-scm-cm.cc, libinterp/operators/op-scm-cs.cc, libinterp/operators/op-scm-m.cc, libinterp/operators/op-scm-s.cc, libinterp/operators/op-scm-scm.cc, libinterp/operators/op-scm-sm.cc, libinterp/operators/op-sm-cm.cc, libinterp/operators/op-sm-m.cc, libinterp/operators/op-sm-s.cc, libinterp/operators/op-sm-scm.cc, libinterp/operators/op-sm-sm.cc, libinterp/operators/op-str-m.cc, libinterp/operators/op-str-s.cc, libinterp/operators/op-str-str.cc, libinterp/operators/ops.h, libinterp/parse-tree/lex.h, libinterp/parse-tree/parse.h, libinterp/parse-tree/pt-arg-list.cc, libinterp/parse-tree/pt-arg-list.h, libinterp/parse-tree/pt-assign.cc, libinterp/parse-tree/pt-assign.h, libinterp/parse-tree/pt-binop.cc, libinterp/parse-tree/pt-binop.h, libinterp/parse-tree/pt-bp.h, libinterp/parse-tree/pt-cbinop.cc, libinterp/parse-tree/pt-check.cc, libinterp/parse-tree/pt-colon.cc, libinterp/parse-tree/pt-colon.h, libinterp/parse-tree/pt-const.cc, libinterp/parse-tree/pt-decl.cc, libinterp/parse-tree/pt-decl.h, libinterp/parse-tree/pt-eval.cc, libinterp/parse-tree/pt-except.h, libinterp/parse-tree/pt-exp.h, libinterp/parse-tree/pt-fcn-handle.cc, libinterp/parse-tree/pt-id.cc, libinterp/parse-tree/pt-id.h, libinterp/parse-tree/pt-idx.cc, libinterp/parse-tree/pt-idx.h, libinterp/parse-tree/pt-loop.h, libinterp/parse-tree/pt-mat.cc, libinterp/parse-tree/pt-misc.cc, libinterp/parse-tree/pt-misc.h, libinterp/parse-tree/pt-pr-code.cc, libinterp/parse-tree/pt-select.h, libinterp/parse-tree/pt-stmt.h, libinterp/parse-tree/token.h, libinterp/version.cc: Use GNU style coding conventions for code in libinterp/
author Rik <rik@octave.org>
date Mon, 28 Oct 2013 19:51:46 -0700
parents d63878346099
children 0850b5212619 446c46af4b42
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1 /*
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2
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3 Copyright (C) 2010-2013 Pedro Gonnet
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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26
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27 #include "lo-ieee.h"
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28 #include "parse.h"
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29 #include "variables.h"
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30
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31 #include "defun.h"
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32 #include "error.h"
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33 #include "oct-obj.h"
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34 #include "utils.h"
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37 /* Extended debugging */
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38 #define DEBUG_QUADCC 0
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39
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40 /* Define the minimum size of the interval heap. */
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41 #define min_cquad_heapsize 200
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parents:
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44 /* Data of a single interval */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
45 typedef struct
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
46 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
47 double a, b;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
48 double c[64];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
49 double fx[33];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
50 double igral, err;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
51 int depth, rdepth, ndiv;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
52 } cquad_ival;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
53
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
54 /* Some constants and matrices that we'll need. */
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
55
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
56 static const double xi[33] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
57 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
58 -1., -0.99518472667219688624, -0.98078528040323044912,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
59 -0.95694033573220886493, -0.92387953251128675612,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
60 -0.88192126434835502970, -0.83146961230254523708,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
61 -0.77301045336273696082, -0.70710678118654752440,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
62 -0.63439328416364549822, -0.55557023301960222475,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
63 -0.47139673682599764857, -0.38268343236508977173,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
64 -0.29028467725446236764, -0.19509032201612826785,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
65 -0.098017140329560601995, 0., 0.098017140329560601995,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
66 0.19509032201612826785, 0.29028467725446236764, 0.38268343236508977173,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
67 0.47139673682599764857, 0.55557023301960222475, 0.63439328416364549822,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
68 0.70710678118654752440, 0.77301045336273696082, 0.83146961230254523708,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
69 0.88192126434835502970, 0.92387953251128675612, 0.95694033573220886493,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
70 0.98078528040323044912, 0.99518472667219688624, 1.
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
71 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
72
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
73 static const double bee[68] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
74 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
75 0.00000000000000e+00, 2.28868854108532e-01, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
76 -8.15740215243451e-01, 0.00000000000000e+00, 5.31212715259731e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
77 0.00000000000000e+00, 1.38538036812454e-02, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
78 3.74405228908818e-02, 0.00000000000000e+00, 2.12224115039342e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
79 0.00000000000000e+00, -8.16362644507898e-01, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
80 5.35648426691481e-01, 0.00000000000000e+00, 1.52417902753662e-03,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
81 0.00000000000000e+00, 2.63058840550873e-03, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
82 4.15292106318904e-03, 0.00000000000000e+00, 6.97106011119775e-03,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
83 0.00000000000000e+00, 1.35535708431058e-02, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
84 3.52132898424856e-02, 0.00000000000000e+00, 2.06946714741884e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
85 0.00000000000000e+00, -8.15674251283876e-01, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
86 5.38841175520580e-01, 0.00000000000000e+00, 1.84909689577590e-04,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
87 0.00000000000000e+00, 2.90936325007499e-04, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
88 3.84877750950089e-04, 0.00000000000000e+00, 4.86436656735046e-04,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
89 0.00000000000000e+00, 6.08688640346879e-04, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
90 7.66732830740331e-04, 0.00000000000000e+00, 9.82753336104205e-04,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
91 0.00000000000000e+00, 1.29359957505615e-03, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
92 1.76616363801885e-03, 0.00000000000000e+00, 2.53323433039089e-03,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
93 0.00000000000000e+00, 3.88872172121956e-03, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
94 6.58635106468291e-03, 0.00000000000000e+00, 1.30326736343254e-02,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
95 0.00000000000000e+00, 3.44353850696714e-02, 0.00000000000000e+00,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
96 2.05025409531915e-01, 0.00000000000000e+00, -8.14985893995401e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
97 0.00000000000000e+00, 5.40679930965238e-01
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
98 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
99
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
100 static const double Lalpha[33] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
101 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
102 5.77350269189626e-01, 5.16397779494322e-01, 5.07092552837110e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
103 5.03952630678970e-01, 5.02518907629606e-01, 5.01745206004255e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
104 5.01280411827603e-01, 5.00979432868120e-01, 5.00773395667191e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
105 5.00626174321759e-01, 5.00517330712619e-01, 5.00434593736979e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
106 5.00370233297676e-01, 5.00319182924304e-01, 5.00278009473803e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
107 5.00244319584578e-01, 5.00216403386025e-01, 5.00193012939056e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
108 5.00173220168024e-01, 5.00156323280355e-01, 5.00141783641018e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
109 5.00129182278347e-01, 5.00118189340972e-01, 5.00108542278496e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
110 5.00100030010004e-01, 5.00092481273333e-01, 5.00085755939229e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
111 5.00079738458365e-01, 5.00074332862969e-01, 5.00069458915387e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
112 5.00065049112355e-01, 5.00061046334395e-01, 5.00057401986298e-01
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
113 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
114
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
115 static const double Lgamma[33] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
116 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
117 0.0, 0.0, 5.16397779494322e-01, 5.07092552837110e-01, 5.03952630678970e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
118 5.02518907629606e-01, 5.01745206004255e-01, 5.01280411827603e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
119 5.00979432868120e-01, 5.00773395667191e-01, 5.00626174321759e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
120 5.00517330712619e-01, 5.00434593736979e-01, 5.00370233297676e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
121 5.00319182924304e-01, 5.00278009473803e-01, 5.00244319584578e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
122 5.00216403386025e-01, 5.00193012939056e-01, 5.00173220168024e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
123 5.00156323280355e-01, 5.00141783641018e-01, 5.00129182278347e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
124 5.00118189340972e-01, 5.00108542278496e-01, 5.00100030010003e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
125 5.00092481273333e-01, 5.00085755939229e-01, 5.00079738458365e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
126 5.00074332862969e-01, 5.00069458915387e-01, 5.00065049112355e-01,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
127 5.00061046334395e-01
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
128 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
129
17787
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Rik <rik@octave.org>
parents: 17744
diff changeset
130 static const double V1inv[5 * 5] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
131 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
132 .47140452079103168293e-1, .37712361663282534635, .56568542494923801952,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
133 .37712361663282534635, .47140452079103168293e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
134 -.81649658092772603273e-1, -.46188021535170061160, 0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
135 .46188021535170061160, .81649658092772603273e-1, .15058465048420853962,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
136 .12046772038736683169, -.54210474174315074262, .12046772038736683169,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
137 .15058465048420853962, -.21380899352993950775, .30237157840738178177, -0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
138 -.30237157840738178177, .21380899352993950775, .10774960475223581324,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
139 -.21549920950447162648, .21549920950447162648, -.21549920950447162648,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
140 .10774960475223581324
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
141 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
142
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
143 static const double V2inv[9 * 9] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
144 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
145 .11223917161691230546e-1, .10339219839658349826, .19754094204576565761,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
146 .25577315077753587922, .27835314560994251755, .25577315077753587922,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
147 .19754094204576565761, .10339219839658349826, .11223917161691230546e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
148 -.19440394783993476970e-1, -.16544884625069155470, -.24193725566041460608,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
149 -.16953338808305493604, 0.0, .16953338808305493604, .24193725566041460608,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
150 .16544884625069155470, .19440394783993476970e-1, .26466393115406349388e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
151 .17766815796285469394, .11316664642449611462, -.16306601003711325980,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
152 -.30847037493128779631, -.16306601003711325980, .11316664642449611462,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
153 .17766815796285469394, .26466393115406349388e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
154 -.32395302049990834508e-1, -.15521142532414866547,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
155 .88573492664788602740e-1, .29570405784974857322, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
156 -.29570405784974857322, -.88573492664788602740e-1, .15521142532414866547,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
157 .32395302049990834508e-1, .41442155673936851246e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
158 .98186757907405608245e-1, -.23056908429499411784,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
159 -.68047008326360625520e-1, .31797435808002456774,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
160 -.68047008326360625520e-1, -.23056908429499411784,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
161 .98186757907405608245e-1, .41442155673936851246e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
162 -.49981120317798783134e-1, -.24861810572835756217e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
163 .23561326072010832539, -.24472785656448415351, 0.0, .24472785656448415351,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
164 -.23561326072010832539, .24861810572835756217e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
165 .49981120317798783134e-1, .79691635865674781228e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
166 -.95725617891693941833e-1, -.57957553356854386344e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
167 .21164072460540271452, -.27529837844505833514, .21164072460540271452,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
168 -.57957553356854386344e-1, -.95725617891693941833e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
169 .79691635865674781228e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
170 -.10894869830716590913, .20131094491947531782, -.15407672674888869038,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
171 .83385723639789791384e-1, 0.0, -.83385723639789791384e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
172 .15407672674888869038, -.20131094491947531782, .10894869830716590913,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
173 .54581057089643838221e-1, -.10916211417928767644, .10916211417928767644,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
174 -.10916211417928767644, .10916211417928767644, -.10916211417928767644,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
175 .10916211417928767644, -.10916211417928767644, .54581057089643838221e-1
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
176 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
177
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
178 static const double V3inv[17 * 17] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
179 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
180 .27729677693590098996e-2, .26423663180333065153e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
181 .53374068493933898312e-1, .77007854739523195947e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
182 .98257061072911596869e-1, .11538049741786835604, .12832134344120884559,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
183 .13612785914022865001, .13888293186236181317, .13612785914022865001,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
184 .12832134344120884559, .11538049741786835604, .98257061072911596869e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
185 .77007854739523195947e-1, .53374068493933898312e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
186 .26423663180333065153e-1, .27729677693590098996e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
187 -.48029210642807413690e-2, -.44887724635478800254e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
188 -.85409520147301089416e-1, -.11090267822061423050, -.12033983162705862441,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
189 -.11102786862182788886, -.85054870109799336515e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
190 -.45998467987742225160e-1, 0.0, .45998467987742225160e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
191 .85054870109799336515e-1, .11102786862182788886, .12033983162705862441,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
192 .11090267822061423050, .85409520147301089416e-1, .44887724635478800254e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
193 .48029210642807413690e-2, .62758546879582030087e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
194 .55561297093529155869e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
195 .93281491021051539742e-1, .92320151237493695139e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
196 .55077987469605684531e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
197 -.96998141716497488255e-2, -.80285961895427405567e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
198 -.13496839655913850224,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
199 -.15512521776684524331, -.13496839655913850224, -.80285961895427405567e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
200 -.96998141716497488255e-2, .55077987469605684531e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
201 .92320151237493695139e-1, .93281491021051539742e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
202 .55561297093529155869e-1, .62758546879582030087e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
203 -.74850969394858555939e-2, -.61751608943839234096e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
204 -.82974150437304275958e-1, -.38437763431942633378e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
205 .45745502025779701366e-1, .12369235652734542162, .14720439712852868239,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
206 .98768034347019704401e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
207 -.98768034347019704401e-1, -.14720439712852868239, -.12369235652734542162,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
208 -.45745502025779701366e-1, .38437763431942633378e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
209 .82974150437304275958e-1, .61751608943839234096e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
210 .74850969394858555939e-2, .86710099994384056338e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
211 .64006230103659573344e-1, .58517426396091675690e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
212 -.29743410528985802680e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
213 -.11934127779157114754, -.12686773515361299409, -.30729137153877447035e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
214 .97307836256600731568e-1, .15635811574451401023, .97307836256600731568e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
215 -.30729137153877447035e-1, -.12686773515361299409, -.11934127779157114754,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
216 -.29743410528985802680e-1, .58517426396091675690e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
217 .64006230103659573344e-1, .86710099994384056338e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
218 -.97486395666294840165e-2, -.62995604908060224672e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
219 -.24373234450275529219e-1, .87760984413626872730e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
220 .12205204576993351394,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
221 .16216004196864002088e-1, -.12422320942156845775, -.13682714580929614678,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
222 0.0, .13682714580929614678, .12422320942156845775,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
223 -.16216004196864002088e-1, -.12205204576993351394,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
224 -.87760984413626872730e-1, .24373234450275529219e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
225 .62995604908060224672e-1, .97486395666294840165e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
226 .10956271233750488468e-1, .58613204255294358939e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
227 -.13306063940736618859e-1, -.11606666444978454399,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
228 -.52059598001115805639e-1, .10868540217796151849, .12594452879014618005,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
229 -.44678658254872910434e-1, -.15617684362128533405,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
230 -.44678658254872910434e-1, .12594452879014618005, .10868540217796151849,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
231 -.52059598001115805639e-1, -.11606666444978454399,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
232 -.13306063940736618859e-1, .58613204255294358939e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
233 .10956271233750488468e-1, -.12098893000863087230e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
234 -.51626244709126208453e-1, .48919433304746979330e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
235 .10467644465949427090,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
236 -.48729879523084673782e-1, -.13668732103524749234, .28190838706814496438e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
237 .15434223333238741600, 0.0, -.15434223333238741600,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
238 -.28190838706814496438e-1, .13668732103524749234,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
239 .48729879523084673782e-1, -.10467644465949427090,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
240 -.48919433304746979330e-1, .51626244709126208453e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
241 .12098893000863087230e-1, .13542668300437944822e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
242 .41712033418258689308e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
243 -.76190463272803434388e-1, -.58303943170068132010e-1, .12158068748245606853,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
244 .42121099930651007882e-1, -.14684425840766337756,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
245 -.16108203535058647043e-1, .15698075850757976092,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
246 -.16108203535058647043e-1, -.14684425840766337756,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
247 .42121099930651007882e-1, .12158068748245606853,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
248 -.58303943170068132010e-1, -.76190463272803434388e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
249 .41712033418258689308e-1, .13542668300437944822e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
250 -.14939634995117694417e-1, -.30047246373341564039e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
251 .91624635082546425678e-1, -.79133374319110026377e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
252 -.12292558212072233355, .90013382617762643524e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
253 .84013717196539593395e-1, -.14813033309980695856, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
254 .14813033309980695856, -.84013717196539593395e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
255 -.90013382617762643524e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
256 .12292558212072233355, .79133374319110026377e-2, -.91624635082546425678e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
257 .30047246373341564039e-1, .14939634995117694417e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
258 .16986031342807474208e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
259 .15760203882617033601e-1, -.91494054040950941996e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
260 .70082459207876130806e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
261 .53390713710144539104e-1, -.14340746778352039430, .84048122493418898508e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
262 .72456667788091316868e-1, -.15564535320096811360,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
263 .72456667788091316868e-1, .84048122493418898508e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
264 -.14340746778352039430, .53390713710144539104e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
265 .70082459207876130806e-1, -.91494054040950941996e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
266 .15760203882617033601e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
267 .16986031342807474208e-1, -.18994065631858742028e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
268 -.82901821370405592927e-3, .77239669773015192888e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
269 -.10850735431039424680, .47524484622086496464e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
270 .69148184871588737021e-1, -.14829314646228194928, .11992057742398672066,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
271 0.0, -.11992057742398672066, .14829314646228194928,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
272 -.69148184871588737021e-1, -.47524484622086496464e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
273 .10850735431039424680, -.77239669773015192888e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
274 .82901821370405592927e-3, .18994065631858742028e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
275 .22761703826371535132e-1, -.17728848711449643358e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
276 -.47496371572480503788e-1, .10659958402328690063, -.11696013966166296514,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
277 .63073750910894244526e-1, .32928881123602721303e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
278 -.12280950532497593683, .15926189077282729505, -.12280950532497593683,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
279 .32928881123602721303e-1, .63073750910894244526e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
280 -.11696013966166296514, .10659958402328690063, -.47496371572480503788e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
281 -.17728848711449643358e-1, .22761703826371535132e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
282 -.26493215276042203434e-1, .35579780856128386192e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
283 .10447309718398935122e-1, -.68616154085314996709e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
284 .11775363082763954214, -.13918901977011837274, .12312819418827395690,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
285 -.72053565748259077905e-1, 0.0, .72053565748259077905e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
286 -.12312819418827395690, .13918901977011837274, -.11775363082763954214,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
287 .68616154085314996709e-1, -.10447309718398935122e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
288 -.35579780856128386192e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
289 .26493215276042203434e-1, .40742523354399706918e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
290 -.73124912999529117195e-1, .49317266444153837821e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
291 -.13686605413876015320e-1, -.28342624942191100464e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
292 .70371855298258216249e-1, -.10600251632853603875, .12981016288391131812,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
293 -.13817029659318161476, .12981016288391131812, -.10600251632853603875,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
294 .70371855298258216249e-1, -.28342624942191100464e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
295 -.13686605413876015320e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
296 .49317266444153837821e-1, -.73124912999529117195e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
297 .40742523354399706918e-1, -.54944368958699908688e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
298 .10777725663147408190, -.10152395581538265428, .91369146312596428468e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
299 -.77703071757424700773e-1, .61050911730999815031e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
300 -.42052599404498348871e-1, .21438229266251454773e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
301 -.21438229266251454773e-1, .42052599404498348871e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
302 -.61050911730999815031e-1, .77703071757424700773e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
303 -.91369146312596428468e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
304 .10152395581538265428, -.10777725663147408190, .54944368958699908688e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
305 .27485608464748840573e-1, -.54971216929497681146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
306 .54971216929497681146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
307 -.54971216929497681146e-1, .54971216929497681146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
308 -.54971216929497681146e-1, .54971216929497681146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
309 -.54971216929497681146e-1, .54971216929497681146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
310 -.54971216929497681146e-1, .54971216929497681146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
311 -.54971216929497681146e-1, .54971216929497681146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
312 -.54971216929497681146e-1, .54971216929497681146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
313 -.54971216929497681146e-1, .27485608464748840573e-1
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
314 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
315
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
316 static const double V4inv[33 * 33] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
317 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
318 .69120897476690862600e-3, .66419939766331555194e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
319 .13600665164323186111e-1, .20122785860913684493e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
320 .26583214101668429944e-1, .32712713318999268739e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
321 .38576221976287138036e-1, .44033030938268925133e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
322 .49092709529622799673e-1, .53657949874312515646e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
323 .57724533144734311859e-1, .61219564530655179096e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
324 .64138907503837875026e-1, .66427905189318792009e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
325 .68088956652280022887e-1, .69083051391555695878e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
326 .69422738116739271449e-1, .69083051391555695878e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
327 .68088956652280022887e-1, .66427905189318792009e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
328 .64138907503837875026e-1, .61219564530655179096e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
329 .57724533144734311859e-1, .53657949874312515646e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
330 .49092709529622799673e-1, .44033030938268925133e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
331 .38576221976287138036e-1, .32712713318999268739e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
332 .26583214101668429944e-1, .20122785860913684493e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
333 .13600665164323186111e-1, .66419939766331555194e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
334 .69120897476690862600e-3, -.11972090629438798134e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
335 -.11448874821643225573e-1, -.23104401104002905904e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
336 -.33352899418646530133e-1, -.42538626424075425908e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
337 -.49969730733911825941e-1, -.55555454015360728353e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
338 -.58955533624852604918e-1, -.60126044219122513907e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
339 -.58959430451175833624e-1, -.55546925396227130606e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
340 -.49984739749347973762e-1, -.42513009141170294365e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
341 -.33399140950669746346e-1, -.23007690803851790829e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
342 -.11728275717520066169e-1, 0.0, .11728275717520066169e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
343 .23007690803851790829e-1, .33399140950669746346e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
344 .42513009141170294365e-1, .49984739749347973762e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
345 .55546925396227130606e-1, .58959430451175833624e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
346 .60126044219122513907e-1, .58955533624852604918e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
347 .55555454015360728353e-1, .49969730733911825941e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
348 .42538626424075425908e-1, .33352899418646530133e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
349 .23104401104002905904e-1, .11448874821643225573e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
350 .11972090629438798134e-2, .15501585012936019146e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
351 .14628781502199620482e-1, .28684915921474815271e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
352 .39299396074628048026e-1, .46393418975496284204e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
353 .48756902531094699526e-1, .46331333488337494692e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
354 .39012645376980228775e-1, .27452795421085791153e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
355 .12430953621169863781e-1, -.47682978056024928800e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
356 -.22825828045428973853e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
357 -.40195512090720278312e-1, -.55503004262826221955e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
358 -.67424537752827046308e-1, -.75020199300113606452e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
359 -.77607844312483656131e-1, -.75020199300113606452e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
360 -.67424537752827046308e-1, -.55503004262826221955e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
361 -.40195512090720278312e-1, -.22825828045428973853e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
362 -.47682978056024928800e-2, .12430953621169863781e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
363 .27452795421085791153e-1, .39012645376980228775e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
364 .46331333488337494692e-1, .48756902531094699526e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
365 .46393418975496284204e-1, .39299396074628048026e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
366 .28684915921474815271e-1, .14628781502199620482e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
367 .15501585012936019146e-2, -.18377757558949194214e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
368 -.17050470050949761565e-1, -.31952119564923250836e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
369 -.40197423449026348155e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
370 -.41205649520281371624e-1, -.33909965817492272248e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
371 -.19393664422115332144e-1, .56661049630886784692e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
372 .22948272173686561721e-1, .44489719570904738207e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
373 .61790363672287920596e-1, .72121014727028013894e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
374 .73627151185287858579e-1, .65784665375961398923e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
375 .49369676372333667559e-1, .26444326317059715065e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
376 -.26444326317059715065e-1, -.49369676372333667559e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
377 -.65784665375961398923e-1, -.73627151185287858579e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
378 -.72121014727028013894e-1, -.61790363672287920596e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
379 -.44489719570904738207e-1, -.22948272173686561721e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
380 -.56661049630886784692e-3, .19393664422115332144e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
381 .33909965817492272248e-1, .41205649520281371624e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
382 .40197423449026348155e-1, .31952119564923250836e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
383 .17050470050949761565e-1, .18377757558949194214e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
384 .20942714740729767769e-2, .18935902405146518232e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
385 .33335840852491735126e-1, .36770680999102286065e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
386 .28873194534132768509e-1, .10267303017729535513e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
387 -.14607738306201572890e-1, -.40139568545572305818e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
388 -.59808326733858291561e-1, -.68528358823372627506e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
389 -.63306535387619244879e-1, -.44508601817574921056e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
390 -.15449116105605395357e-1, .17941083795006546367e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
391 .48747356011657242123e-1, .70329553984201665523e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
392 .78106117292526169663e-1, .70329553984201665523e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
393 .48747356011657242123e-1, .17941083795006546367e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
394 -.15449116105605395357e-1, -.44508601817574921056e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
395 -.63306535387619244879e-1, -.68528358823372627506e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
396 -.59808326733858291561e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
397 -.40139568545572305818e-1, -.14607738306201572890e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
398 .10267303017729535513e-1, .28873194534132768509e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
399 .36770680999102286065e-1, .33335840852491735126e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
400 .18935902405146518232e-1, .20942714740729767769e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
401 -.23245285491878278419e-2, -.20401404737639389919e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
402 -.33019548231022514097e-1, -.29709828426463720091e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
403 -.11760070922697422156e-1, .15987584743850393793e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
404 .43619012891472813485e-1, .61177322409671487721e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
405 .61144030218486655594e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
406 .41895377620089086167e-1, .80232011820644308033e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
407 -.30574701186675900915e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
408 -.62072243008844865848e-1, -.76336186183574765586e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
409 -.68435466095345537115e-1, -.40237669208466966207e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
410 .40237669208466966207e-1, .68435466095345537115e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
411 .76336186183574765586e-1, .62072243008844865848e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
412 .30574701186675900915e-1, -.80232011820644308033e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
413 -.41895377620089086167e-1, -.61144030218486655594e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
414 -.61177322409671487721e-1, -.43619012891472813485e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
415 -.15987584743850393793e-1, .11760070922697422156e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
416 .29709828426463720091e-1, .33019548231022514097e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
417 .20401404737639389919e-1, .23245285491878278419e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
418 .25451717261579269307e-2, .21480418595666878775e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
419 .31177212469293007998e-1, .19816333607013379373e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
420 -.72439496274458793681e-2, -.38404203906598342397e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
421 -.57633632255322221046e-1, -.54070547403585392952e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
422 -.26249823354368866005e-1, .15643058212336881516e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
423 .54539832735118677194e-1, .73283028002473989724e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
424 .62835303524135936213e-1, .26175977027801048141e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
425 -.22193636309998606610e-1, -.62597049956093311234e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
426 -.78206986173170212505e-1, -.62597049956093311234e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
427 -.22193636309998606610e-1, .26175977027801048141e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
428 .62835303524135936213e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
429 .73283028002473989724e-1, .54539832735118677194e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
430 .15643058212336881516e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
431 -.26249823354368866005e-1, -.54070547403585392952e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
432 -.57633632255322221046e-1, -.38404203906598342397e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
433 -.72439496274458793681e-2, .19816333607013379373e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
434 .31177212469293007998e-1, .21480418595666878775e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
435 .25451717261579269307e-2, -.27506573922483820005e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
436 -.22224442095099251870e-1, -.27949927254215773020e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
437 -.80918481053370034987e-2, .25121859354449306916e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
438 .51563535009373061074e-1, .51936965107145960512e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
439 .22146626648171527753e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
440 -.24172689882103382748e-1, -.61731229104853568296e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
441 -.68477262429344201201e-1, -.38311232728303704742e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
442 .14160578713659552679e-1, .61248813427564184033e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
443 .77136328841293031805e-1, .52514801765183697988e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
444 -.52514801765183697988e-1, -.77136328841293031805e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
445 -.61248813427564184033e-1, -.14160578713659552679e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
446 .38311232728303704742e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
447 .68477262429344201201e-1, .61731229104853568296e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
448 .24172689882103382748e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
449 -.22146626648171527753e-1, -.51936965107145960512e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
450 -.51563535009373061074e-1, -.25121859354449306916e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
451 .80918481053370034987e-2, .27949927254215773020e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
452 .22224442095099251870e-1, .27506573922483820005e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
453 .29562461131654311467e-2, .22630271480554450613e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
454 .23547399831373800971e-1, -.43964593440902476642e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
455 -.39055315767504970597e-1, -.52369643937940066804e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
456 -.28506131614971613422e-1, .19906048093338832322e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
457 .60408880866392420279e-1, .62493397473656883090e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
458 .21391278377641297859e-1, -.37302864786623254746e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
459 -.73665127933539496872e-1, -.61706142476854010202e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
460 -.78065168882546327888e-2, .52335307373945544428e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
461 .78278746279419264777e-1, .52335307373945544428e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
462 -.78065168882546327888e-2, -.61706142476854010202e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
463 -.73665127933539496872e-1, -.37302864786623254746e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
464 .21391278377641297859e-1, .62493397473656883090e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
465 .60408880866392420279e-1, .19906048093338832322e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
466 -.28506131614971613422e-1, -.52369643937940066804e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
467 -.39055315767504970597e-1, -.43964593440902476642e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
468 .23547399831373800971e-1, .22630271480554450613e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
469 .29562461131654311467e-2, -.31515718415504761303e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
470 -.22739451096655080673e-1, -.18157123602272119779e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
471 .16496480897167303621e-1, .46921166788569301124e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
472 .40644395739978416354e-1, -.46275803430732216900e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
473 -.52883375891308909486e-1, -.61116483226324111734e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
474 -.17411698764545629853e-1, .44773430013166822765e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
475 .73441577962383869198e-1, .42127368371995472815e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
476 -.25504645957196772465e-1, -.74126818045972742488e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
477 -.62780077864719287317e-1, 0.0, .62780077864719287317e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
478 .74126818045972742488e-1, .25504645957196772465e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
479 -.42127368371995472815e-1, -.73441577962383869198e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
480 -.44773430013166822765e-1, .17411698764545629853e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
481 .61116483226324111734e-1, .52883375891308909486e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
482 .46275803430732216900e-2, -.40644395739978416354e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
483 -.46921166788569301124e-1, -.16496480897167303621e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
484 .18157123602272119779e-1, .22739451096655080673e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
485 .31515718415504761303e-2, .33536559294882188208e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
486 .22535348942792006185e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
487 .12048629300953560767e-1, -.27166076791299493403e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
488 -.47492745604230978367e-1, -.19246623430993153174e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
489 .36231297307556299322e-1, .61713617181636122004e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
490 .25928029734266134490e-1, -.40478700752883602818e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
491 -.71053889866326412049e-1, -.31870824482961751482e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
492 .41515251100219081281e-1, .76481960760098381651e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
493 .36726509155999912440e-1, -.40090067032627055969e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
494 -.78270742903374539397e-1, -.40090067032627055969e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
495 .36726509155999912440e-1, .76481960760098381651e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
496 .41515251100219081281e-1, -.31870824482961751482e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
497 -.71053889866326412049e-1, -.40478700752883602818e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
498 .25928029734266134490e-1, .61713617181636122004e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
499 .36231297307556299322e-1, -.19246623430993153174e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
500 -.47492745604230978367e-1, -.27166076791299493403e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
501 .12048629300953560767e-1, .22535348942792006185e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
502 .33536559294882188208e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
503 -.35481220456925318865e-2, -.22062913693073191150e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
504 -.54487362861834144999e-2, .35438821865804087489e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
505 .40733077820527411302e-1, -.67403098138950720914e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
506 -.55559584405239171054e-1, -.42417050790865158745e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
507 .24499901971884704925e-1, .68721232891705409302e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
508 .34086082787461126592e-1, -.43441000373118474002e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
509 -.73878085292669148950e-1, -.18846995664706657127e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
510 .59827776178286834498e-1, .70644634584085901794e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
511 -.70644634584085901794e-1, -.59827776178286834498e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
512 .18846995664706657127e-1, .73878085292669148950e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
513 .43441000373118474002e-1, -.34086082787461126592e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
514 -.68721232891705409302e-1, -.24499901971884704925e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
515 .42417050790865158745e-1, .55559584405239171054e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
516 .67403098138950720914e-2, -.40733077820527411302e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
517 -.35438821865804087489e-1, .54487362861834144999e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
518 .22062913693073191150e-1, .35481220456925318865e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
519 .37554176816665075631e-2, .21297045781589919482e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
520 -.13327293083183431816e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
521 -.40635299172764596484e-1, -.27659860508374175359e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
522 .31089232744083445986e-1, .56113781541334176109e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
523 .37577840643257763400e-2, -.60511227350664590865e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
524 -.46670556446129053853e-1, .33263195878575888247e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
525 .72757324720645228775e-1, .15011712351692283635e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
526 -.65601212994924119078e-1, -.60016855838843789772e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
527 .26220858553188665966e-1, .78322776605833552980e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
528 .26220858553188665966e-1, -.60016855838843789772e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
529 -.65601212994924119078e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
530 .15011712351692283635e-1, .72757324720645228775e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
531 .33263195878575888247e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
532 -.46670556446129053853e-1, -.60511227350664590865e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
533 .37577840643257763400e-2, .56113781541334176109e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
534 .31089232744083445986e-1, -.27659860508374175359e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
535 -.40635299172764596484e-1, -.13327293083183431816e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
536 .21297045781589919482e-1, .37554176816665075631e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
537 -.39566995305720591229e-2, -.20291873414438919995e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
538 .80617453830770930551e-2, .42270189157016547906e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
539 .10332624526759093004e-1, -.48054759547616142024e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
540 -.37678032941171643972e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
541 .36617192625732482394e-1, .61009425973424865714e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
542 -.95589113168026591466e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
543 -.71023202645076922361e-1, -.25097788086808784456e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
544 .62406621963267050244e-1, .56907293171100693511e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
545 -.36435383083882206257e-1, -.75790105119208756348e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
546 .75790105119208756348e-1, .36435383083882206257e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
547 -.56907293171100693511e-1, -.62406621963267050244e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
548 .25097788086808784456e-1, .71023202645076922361e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
549 .95589113168026591466e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
550 -.61009425973424865714e-1, -.36617192625732482394e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
551 .37678032941171643972e-1, .48054759547616142024e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
552 -.10332624526759093004e-1, -.42270189157016547906e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
553 -.80617453830770930551e-2, .20291873414438919995e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
554 .39566995305720591229e-2, .41776092289182138591e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
555 .19013221163904414395e-1, -.14420609729849899876e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
556 -.40259160586844441220e-1, .86327811113710831649e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
557 .53564430703021034399e-1, .65469185402150431933e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
558 -.60383116311280629856e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
559 -.25657793784058876939e-1, .58745680576829226900e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
560 .45649937869034420296e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
561 -.49167932056844167772e-1, -.62696614328552187977e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
562 .32540234556426699997e-1, .74280410383464269758e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
563 -.11425672633410999870e-1, -.78280649404686404903e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
564 -.11425672633410999870e-1, .74280410383464269758e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
565 .32540234556426699997e-1, -.62696614328552187977e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
566 -.49167932056844167772e-1, .45649937869034420296e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
567 .58745680576829226900e-1, -.25657793784058876939e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
568 -.60383116311280629856e-1, .65469185402150431933e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
569 .53564430703021034399e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
570 .86327811113710831649e-2, -.40259160586844441220e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
571 -.14420609729849899876e-1, .19013221163904414395e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
572 .41776092289182138591e-2, -.43935502082478059199e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
573 -.17528761237509401631e-1, .20208915249153872535e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
574 .34734743119040669109e-1, -.26275910172353637955e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
575 -.46368003346018878786e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
576 .26800056330709381025e-1, .56681476464606609921e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
577 -.24749011438127255898e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
578 -.64934612189056658992e-1, .20333742247679279535e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
579 .71429299070059318651e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
580 -.14452513210428671266e-1, -.75793341281736586582e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
581 .74717094137184935270e-2, .78034921554757317374e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
582 -.78034921554757317374e-1, -.74717094137184935270e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
583 .75793341281736586582e-1, .14452513210428671266e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
584 -.71429299070059318651e-1, -.20333742247679279535e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
585 .64934612189056658992e-1, .24749011438127255898e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
586 -.56681476464606609921e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
587 -.26800056330709381025e-1, .46368003346018878786e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
588 .26275910172353637955e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
589 -.34734743119040669109e-1, -.20208915249153872535e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
590 .17528761237509401631e-1, .43935502082478059199e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
591 .46379089482818671473e-2, .15791188144791287229e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
592 -.25134290048737455284e-1, -.26249795071946841205e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
593 .39960457575789924651e-1, .28111892450146525404e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
594 -.51026476400767918226e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
595 -.27266747278681831364e-1, .60708796647861610865e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
596 .23532306960642115854e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
597 -.68169639871532441111e-1, -.18204924701958312032e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
598 .73822890510656128485e-1, .11373392486424717019e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
599 -.77133324017644609416e-1, -.39295877480342619961e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
600 .78351902829418987960e-1, -.39295877480342619961e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
601 -.77133324017644609416e-1, .11373392486424717019e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
602 .73822890510656128485e-1, -.18204924701958312032e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
603 -.68169639871532441111e-1, .23532306960642115854e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
604 .60708796647861610865e-1, -.27266747278681831364e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
605 -.51026476400767918226e-1, .28111892450146525404e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
606 .39960457575789924651e-1, -.26249795071946841205e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
607 -.25134290048737455284e-1, .15791188144791287229e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
608 .46379089482818671473e-2, -.48780095920069827068e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
609 -.13886961667516983541e-1, .29071311049368895844e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
610 .15480559452075811600e-1, -.47527977686242313065e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
611 -.31929089844361042178e-2, .58015667638415922967e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
612 -.14547915466597622925e-1, -.61067668299848923244e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
613 .35093678009090186851e-1, .55378399159800654657e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
614 -.54277226474891610385e-1, -.42023830782434076509e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
615 .69197384645944912066e-1, .22610783557709586445e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
616 -.77269275900637030185e-1, 0.0, .77269275900637030185e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
617 -.22610783557709586445e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
618 -.69197384645944912066e-1, .42023830782434076509e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
619 .54277226474891610385e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
620 -.55378399159800654657e-1, -.35093678009090186851e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
621 .61067668299848923244e-1, .14547915466597622925e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
622 -.58015667638415922967e-1, .31929089844361042178e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
623 .47527977686242313065e-1, -.15480559452075811600e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
624 -.29071311049368895844e-1, .13886961667516983541e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
625 .48780095920069827068e-2, .51591759101720291381e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
626 .11747497650231330965e-1, -.31777863364694653331e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
627 -.34555825499804605557e-2, .47914131921157015198e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
628 -.22573685920142225247e-1, -.45320344390022666738e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
629 .49660630547172186418e-1, .25707858143963615736e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
630 -.68132707341917233933e-1, .67534860185243140399e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
631 .69268150370037450063e-1, -.41585011920451477177e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
632 -.51622397460510041271e-1, .68408139576363036148e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
633 .18981259024768933323e-1, -.78265472429342305554e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
634 .18981259024768933323e-1, .68408139576363036148e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
635 -.51622397460510041271e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
636 -.41585011920451477177e-1, .69268150370037450063e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
637 .67534860185243140399e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
638 -.68132707341917233933e-1, .25707858143963615736e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
639 .49660630547172186418e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
640 -.45320344390022666738e-1, -.22573685920142225247e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
641 .47914131921157015198e-1, -.34555825499804605557e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
642 -.31777863364694653331e-1, .11747497650231330965e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
643 .51591759101720291381e-2, -.54365757412741340377e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
644 -.94862516619529080191e-2, .33240472093448190877e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
645 -.88698898099681552229e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
646 -.40973252097216337576e-1, .42995673349795657065e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
647 .17320914507876958783e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
648 -.62201292691914856803e-1, .24726274174637346693e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
649 .51320859246515407288e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
650 -.62882063373810501763e-1, -.11003569131725622672e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
651 .73842261324108943465e-1, -.39240120294802923208e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
652 -.49293966443941122807e-1, .73552644778818223475e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
653 -.73552644778818223475e-1, .49293966443941122807e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
654 .39240120294802923208e-1, -.73842261324108943465e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
655 .11003569131725622672e-1, .62882063373810501763e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
656 -.51320859246515407288e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
657 -.24726274174637346693e-1, .62201292691914856803e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
658 -.17320914507876958783e-1, -.42995673349795657065e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
659 .40973252097216337576e-1, .88698898099681552229e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
660 -.33240472093448190877e-1, .94862516619529080191e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
661 .54365757412741340377e-2, .57750194549356126240e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
662 .69981166020044116791e-2, -.33274982140403110792e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
663 .20297071020698356116e-1, .27898517839646066582e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
664 -.53368678853282030262e-1, .16656482990394548343e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
665 .46342901447260614255e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
666 -.60536796508149003365e-1, .29109107483842596340e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
667 .63224486124385124504e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
668 -.59028872851312033411e-1, -.14783105962696191734e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
669 .74269399241069253865e-1, -.49053677339382384625e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
670 -.33525466624811186739e-1, .78397349622515386647e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
671 -.33525466624811186739e-1, -.49053677339382384625e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
672 .74269399241069253865e-1, -.14783105962696191734e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
673 -.59028872851312033411e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
674 .63224486124385124504e-1, .29109107483842596340e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
675 -.60536796508149003365e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
676 .46342901447260614255e-1, .16656482990394548343e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
677 -.53368678853282030262e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
678 .27898517839646066582e-1, .20297071020698356116e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
679 -.33274982140403110792e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
680 .69981166020044116791e-2, .57750194549356126240e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
681 -.61100308370519200637e-2, -.44383614355738148616e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
682 .32011283412619094811e-1, -.29965011866372897633e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
683 -.10560682331349193348e-1, .51110336443392506342e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
684 -.45012284729681775492e-1, -.94236825555873320102e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
685 .60860695783141264746e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
686 -.55014628647083368926e-1, -.73474782382499482121e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
687 .66640148475243034781e-1, -.62533116045749887988e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
688 -.38650525912400102585e-2, .68429769005837003777e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
689 -.66984505412544901945e-1, 0.0, .66984505412544901945e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
690 -.68429769005837003777e-1, .38650525912400102585e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
691 .62533116045749887988e-1, -.66640148475243034781e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
692 .73474782382499482121e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
693 .55014628647083368926e-1, -.60860695783141264746e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
694 .94236825555873320102e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
695 .45012284729681775492e-1, -.51110336443392506342e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
696 .10560682331349193348e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
697 .29965011866372897633e-1, -.32011283412619094811e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
698 .44383614355738148616e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
699 .61100308370519200637e-2, .65409373892036191538e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
700 .16350101107071157065e-2, -.29301957285983144319e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
701 .36838667173388832579e-1, -.81922703976491586393e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
702 -.36955670021050133434e-1, .58374851095540469865e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
703 -.31977016246946181856e-1, -.25311073698658094646e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
704 .66674413950106952577e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
705 -.54865713324521039571e-1, -.39797027891537985440e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
706 .62830285264808449064e-1, -.72226313251296100676e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
707 .22560232697133353980e-1, .46455784709904033738e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
708 -.78200930751070349956e-1, .46455784709904033738e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
709 .22560232697133353980e-1, -.72226313251296100676e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
710 .62830285264808449064e-1, -.39797027891537985440e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
711 -.54865713324521039571e-1, .66674413950106952577e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
712 -.25311073698658094646e-1, -.31977016246946181856e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
713 .58374851095540469865e-1, -.36955670021050133434e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
714 -.81922703976491586393e-2, .36838667173388832579e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
715 -.29301957285983144319e-1, .16350101107071157065e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
716 .65409373892036191538e-2, -.69686180931868703196e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
717 .11849538727632789870e-2, .25452286414610537766e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
718 -.40522480651713943230e-1, .25694679053362813183e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
719 .14057118113748390637e-1, -.52037614725803488893e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
720 .58849342223684035589e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
721 -.25075229077361409271e-1, -.29559771094034181083e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
722 .68296746944165720199e-1, -.62890462146423984955e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
723 .14457636466274596445e-1, .45787612031322361496e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
724 -.77231759014655809742e-1, .57881203613910543657e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
725 -.57881203613910543657e-1, .77231759014655809742e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
726 -.45787612031322361496e-1, -.14457636466274596445e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
727 .62890462146423984955e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
728 -.68296746944165720199e-1, .29559771094034181083e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
729 .25075229077361409271e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
730 -.58849342223684035589e-1, .52037614725803488893e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
731 -.14057118113748390637e-1, -.25694679053362813183e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
732 .40522480651713943230e-1, -.25452286414610537766e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
733 -.11849538727632789870e-2, .69686180931868703196e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
734 .75611653617520254845e-2, -.43290610418608409141e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
735 -.20277062025115566914e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
736 .40362947027704828926e-1, -.38938808024132120254e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
737 .11831186195916702262e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
738 .28476667401744525357e-1, -.59320969056617684621e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
739 .61101629747436200186e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
740 -.29514834848355389223e-1, -.20668001885001084821e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
741 .62923592802445122793e-1, -.73558456263588833115e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
742 .45314556330160999776e-1, .79031645918426015574e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
743 -.58136953576334689357e-1, .78538474524006405758e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
744 -.58136953576334689357e-1, .79031645918426015574e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
745 .45314556330160999776e-1, -.73558456263588833115e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
746 .62923592802445122793e-1, -.20668001885001084821e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
747 -.29514834848355389223e-1, .61101629747436200186e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
748 -.59320969056617684621e-1, .28476667401744525357e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
749 .11831186195916702262e-1, -.38938808024132120254e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
750 .40362947027704828926e-1, -.20277062025115566914e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
751 -.43290610418608409141e-2, .75611653617520254845e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
752 -.81505692478987769484e-2, .74297333588288568430e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
753 .14314212513540223314e-1, -.36711242251332751607e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
754 .46240027755503814626e-1, -.34921532671769023773e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
755 .46930051972353714773e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
756 .32842770336385381562e-1, -.61317813706529588466e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
757 .67000809902468893103e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
758 -.45337449655535622885e-1, .35794459576271920867e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
759 .41830061526027213385e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
760 -.72091371931944711708e-1, .74150028530317793195e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
761 -.46487632538609942002e-1, 0.0, .46487632538609942002e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
762 -.74150028530317793195e-1, .72091371931944711708e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
763 -.41830061526027213385e-1, -.35794459576271920867e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
764 .45337449655535622885e-1, -.67000809902468893103e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
765 .61317813706529588466e-1, -.32842770336385381562e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
766 -.46930051972353714773e-2, .34921532671769023773e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
767 -.46240027755503814626e-1, .36711242251332751607e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
768 -.14314212513540223314e-1, -.74297333588288568430e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
769 .81505692478987769484e-2, .90693182942442189743e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
770 -.11121000903959576737e-1, -.71308296141317458546e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
771 .29219439765986671645e-1, -.45820286629778129593e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
772 .49088381175879124421e-1, -.35614888785023038938e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
773 .78906970900092777895e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
774 .26262843038404929480e-1, -.56143674270125757857e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
775 .71700220472378350694e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
776 -.66963544500697307945e-1, .42215091779892228883e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
777 -.41338867413966866997e-2, -.36164891772995367321e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
778 .66584367783847858225e-1, -.77874712365070098328e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
779 .66584367783847858225e-1, -.36164891772995367321e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
780 -.41338867413966866997e-2, .42215091779892228883e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
781 -.66963544500697307945e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
782 .71700220472378350694e-1, -.56143674270125757857e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
783 .26262843038404929480e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
784 .78906970900092777895e-2, -.35614888785023038938e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
785 .49088381175879124421e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
786 -.45820286629778129593e-1, .29219439765986671645e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
787 -.71308296141317458546e-2, -.11121000903959576737e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
788 .90693182942442189743e-2, -.99848472706332791043e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
789 .14701271465939718856e-1, -.32917820356048383366e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
790 -.19201195309873585230e-1, .38409681836626963278e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
791 -.51647324405878909521e-1, .54522171113149311354e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
792 -.45040302741689006270e-1, .24183738595685990149e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
793 .42204134165479735097e-2, -.34317295181348742251e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
794 .59542472465494579941e-1, -.74135115907618101263e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
795 .74491937840566532596e-1, -.60042604725161994304e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
796 .33437677409000083169e-1, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
797 -.33437677409000083169e-1, .60042604725161994304e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
798 -.74491937840566532596e-1, .74135115907618101263e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
799 -.59542472465494579941e-1, .34317295181348742251e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
800 -.42204134165479735097e-2, -.24183738595685990149e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
801 .45040302741689006270e-1, -.54522171113149311354e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
802 .51647324405878909521e-1, -.38409681836626963278e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
803 .19201195309873585230e-1, .32917820356048383366e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
804 -.14701271465939718856e-1, .99848472706332791043e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
805 .11775579274769383373e-1, -.19892153937316935880e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
806 .95335114477449041055e-2, .57661528440359081617e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
807 -.23382690532380910781e-1, .40237257037170725321e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
808 -.53280289903551636474e-1, .59974361806023689068e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
809 -.58701684061992853224e-1, .49033407111597129616e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
810 -.31818835267847249219e-1, .90800541261162098886e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
811 .16272906819312603838e-1, -.40863896581186229487e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
812 .61346046297517367703e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
813 -.74896047554167268919e-1, .79632642148310325817e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
814 -.74896047554167268919e-1, .61346046297517367703e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
815 -.40863896581186229487e-1, .16272906819312603838e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
816 .90800541261162098886e-2, -.31818835267847249219e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
817 .49033407111597129616e-1, -.58701684061992853224e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
818 .59974361806023689068e-1, -.53280289903551636474e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
819 .40237257037170725321e-1, -.23382690532380910781e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
820 .57661528440359081617e-2, .95335114477449041055e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
821 -.19892153937316935880e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
822 .11775579274769383373e-1, -.13562702617218467450e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
823 .24885419969649845849e-1, -.18368693901908875583e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
824 .81673147806084084638e-2, .47890591326129587131e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
825 -.19313752945227974024e-1, .34065953398362954708e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
826 -.47667045133463415672e-1, .58820377816690514309e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
827 -.66424139824618415970e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
828 .69667606260856092515e-1, -.68102459384364543253e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
829 .61683024923302547971e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
830 -.50771943476441639136e-1, .36110771847327189215e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
831 -.18758028464284563358e-1, 0.0, .18758028464284563358e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
832 -.36110771847327189215e-1, .50771943476441639136e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
833 -.61683024923302547971e-1, .68102459384364543253e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
834 -.69667606260856092515e-1, .66424139824618415970e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
835 -.58820377816690514309e-1, .47667045133463415672e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
836 -.34065953398362954708e-1, .19313752945227974024e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
837 -.47890591326129587131e-2, -.81673147806084084638e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
838 .18368693901908875583e-1, -.24885419969649845849e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
839 .13562702617218467450e-1, .20576545037980523979e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
840 -.40093155172981004337e-1, .36954083167944054826e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
841 -.31856506837591907746e-1, .24996323181546255126e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
842 -.16637165210473614136e-1, .71002706773325085237e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
843 .32478629093205201133e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
844 -.14009562579050569518e-1, .24771262248780618922e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
845 -.35119395835433647559e-1, .44656290368574753171e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
846 -.53015448339647394161e-1, .59875631995693046782e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
847 -.64973208326045193862e-1, .68112280331082143373e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
848 -.69172215234062186994e-1, .68112280331082143373e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
849 -.64973208326045193862e-1, .59875631995693046782e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
850 -.53015448339647394161e-1, .44656290368574753171e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
851 -.35119395835433647559e-1, .24771262248780618922e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
852 -.14009562579050569518e-1, .32478629093205201133e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
853 .71002706773325085237e-2, -.16637165210473614136e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
854 .24996323181546255126e-1, -.31856506837591907746e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
855 .36954083167944054826e-1, -.40093155172981004337e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
856 .20576545037980523979e-1, -.27584914609096156163e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
857 .54904171411058497973e-1, -.54109756419563083153e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
858 .52794234894345577483e-1, -.50970276026831042415e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
859 .48655445537990983379e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
860 -.45872036510847994332e-1, .42646854695899611372e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
861 -.39010960357087507670e-1, .34999369144476467749e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
862 -.30650714874402762189e-1, .26006877464703437057e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
863 -.21112579608213651273e-1, .16014956068786763273e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
864 -.10763099747751940252e-1, .54075888924374485533e-2, 0.0,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
865 -.54075888924374485533e-2, .10763099747751940252e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
866 -.16014956068786763273e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
867 .21112579608213651273e-1, -.26006877464703437057e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
868 .30650714874402762189e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
869 -.34999369144476467749e-1, .39010960357087507670e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
870 -.42646854695899611372e-1, .45872036510847994332e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
871 -.48655445537990983379e-1, .50970276026831042415e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
872 -.52794234894345577483e-1, .54109756419563083153e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
873 -.54904171411058497973e-1, .27584914609096156163e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
874 .13794141262469565740e-1, -.27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
875 .27588282524939131481e-1, -.27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
876 .27588282524939131481e-1, -.27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
877 .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
878 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
879 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
880 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
881 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
882 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
883 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
884 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
885 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
886 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
887 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
888 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
889 -.27588282524939131481e-1, .27588282524939131481e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
890 -.27588282524939131481e-1, .13794141262469565740e-1
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
891 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
892
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
893 static const double Tleft[33 * 33] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
894 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
895 1., -.86602540378443864678, 0., .33071891388307382381, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
896 -.20728904939721249057, 0., .15128841196122722208, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
897 -.11918864298744029244, 0., .98352013661686631224e-1, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
898 -.83727065404940845733e-1, 0., .72893399403505841203e-1, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
899 -.64544632643375022436e-1, 0., .57913170372415565639e-1, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
900 -.52518242575729562263e-1, 0., .48043311993977520457e-1, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
901 -.44271433659733990243e-1, 0., .41048928022856771981e-1, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
902 -.38263878662008271459e-1, 0., .35832844026365304501e-1, 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
903 .50000000000000000000, -.96824583655185422130, .57282196186948000082,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
904 .21650635094610966169, -.35903516540862679125, -.97578093724974971969e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
905 .26203921611325660506, .55792409597991015609e-1, -.20644078533943456204,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
906 -.36172381205961199479e-1, .17035068468874958194,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
907 .25371838001497225980e-1, -.14501953125000000000,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
908 -.18786835250972344757e-1, .12625507130328301066,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
909 .14473795929590520582e-1, -.11179458309419422675,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
910 -.11494434254897626155e-1, .10030855351241635862,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
911 .93498556820544479096e-2, -.90964264465390582629e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
912 -.77546391824364392762e-2, .83213457337452292745e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
913 .65358085945588638605e-2, -.76680372422574234569e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
914 -.55835321940047427169e-2, .71098828931825789428e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
915 .48253327982967591019e-2, -.66274981937248958553e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
916 -.42118078245337801387e-2, .62064306433355646267e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
917 .37083386598903548973e-2, 0., 0., .25000000000000000000,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
918 -.73950997288745200531, .83852549156242113615, -.23175620272173946716,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
919 -.37791833195149451496, .25710129174850522325, .21608307321780204633,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
920 -.22844049245646009157, -.14009503000335388415, .19897685605518413847,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
921 .98264706042471226893e-1, -.17445445004279014046,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
922 -.72761100054958328401e-1, .15463589893742108388,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
923 .56056770591708784481e-1, -.13855313872640495158,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
924 -.44517752443294564781e-1, .12534277657695128850,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
925 .36211835346039665762e-1, -.11434398255136139683,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
926 -.30033588409423828125e-1, .10506705408753910481,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
927 .25313077840725783008e-1, -.97149327637744872155e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
928 -.21624927200393328444e-1, .90319582367202122625e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
929 .18688433567711780666e-1, -.84372291635345108584e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
930 -.16312261561845420752e-1, .79149526894804751586e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
931 .14362333871852474757e-1, 0., 0., 0., .12500000000000000000,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
932 -.49607837082461073572, .82265291131801144317, -.59621200088559103072,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
933 -.80054302859059362371e-1, .42612156697795759420,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
934 -.90098145270865592887e-1, -.29769623255090078484, .13630307904779758221,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
935 .21638835185708931831, -.14600247270306082052, -.16348801804014290453,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
936 .14340708728599057249, .12755243353979286190, -.13661523715071346961,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
937 -.10215585947881057394, .12864248070157166547, .83592528025348693602e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
938 -.12066728689302565222, -.69633728678718053052e-1, .11314245177331919532,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
939 .58882939251410088028e-1, -.10621835858758221487,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
940 -.50432266865187597572e-1, .99916834723527771581e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
941 .43672094283057258509e-1, -.94206380251950852413e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
942 -.38181356812697746418e-1, .89035739656537771225e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
943 .33661934598216332678e-1, 0., 0., 0., 0., .62500000000000000000e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
944 -.31093357409581873586, .67604086414949799246, -.75644205980613611039,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
945 .28990586430124175741, .30648508196770360914, -.35801372616842500052,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
946 -.91326869828709014708e-1, .31127929687500000000,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
947 -.90915752838698393094e-2, -.25637381283965534330,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
948 .57601077850322797594e-1, .21019685709225757945,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
949 -.81244992138514014256e-1, -.17375078516720988858,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
950 .92289437277967051125e-1, .14527351914265391374,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
951 -.96675340792832019889e-1, -.12289485697108543415,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
952 .97448175340011084006e-1, .10511755943298339844,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
953 -.96242247086378239657e-1, -.90822942272780513537e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
954 .93966350452322132384e-1, .79189411876493712558e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
955 -.91139307067989309325e-1, -.69613039934383197265e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
956 .88062491671135767870e-1, .61646331729340817494e-1, 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
957 .31250000000000000000e-1, -.18684782411095934408, .50176689760410660236,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
958 -.74784031498626095398, .56472001151566251186, .14842464993721351203e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
959 -.41162920273003120936, .20243071230196532282, .23772054897172750436,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
960 -.24963810923972235950, -.12116179938394678936, .24330535483519110663,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
961 .47903849781124471359e-1, -.22133299683101224293,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
962 -.20542915138527200983e-2, .19653465717678146728,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
963 -.26818172626509178444e-1, -.17319122357631210944,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
964 .45065391411065545445e-1, .15253391395444065941,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
965 -.56543897711725408302e-1, -.13469154928743585367,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
966 .63632471400208840155e-1, .11941684923913523817,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
967 -.67828850207933293098e-1, -.10636309084510652670,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
968 .70095786922999181504e-1, .95187373095150709082e-1, 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
969 0., .15625000000000000000e-1, -.10909562534194485289,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
970 .34842348626527747318, -.64461114561628111443, .69382480527334683659,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
971 -.29551102358528827763, -.25527584713978439819, .38878771718544715394,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
972 -.82956185835347407489e-2, -.31183177761966943912, .12831420840372374767,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
973 .22067618205599434368, -.17569196937129496961, -.14598057000132284135,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
974 .18864406621763419484, .89921002550386645767e-1, -.18571835020187122114,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
975 -.48967672227195481777e-1, .17584685670380332798,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
976 .19267984545067426324e-1, -.16335437520503462738,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
977 .22598055455032407594e-2, .15032800884170631129,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
978 -.17883358353754640871e-1, -.13774837869432209951,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
979 .29227555960587143675e-1, .12604194747513151053, 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
980 0., .78125000000000000000e-2, -.62377810244809812496e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
981 .23080781467370883845, -.50841310636012325368, .69834547012574056043,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
982 -.52572723156526459672, .11464215704954976471e-1, .38698869011491210342,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
983 -.26125646622255207507, -.16951698812361607510, .29773875898928782269,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
984 .20130501202570367491e-1, -.26332493149159310198,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
985 .67734613690401207009e-1, .21207315477103762715, -.11541543390889415193,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
986 -.16249634759782417533, .13885887405041735068, .11996491328010275427,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
987 -.14810432001630926895, -.85177658352556243411e-1, .14918860659904380587,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
988 .57317789510444151564e-1, -.14569827645586660151,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
989 -.35213090145965327390e-1, .13975998126844578198, 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
990 0., 0., .39062500000000000000e-2, -.35101954600803571207e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
991 .14761284084133737720, -.37655033076080192966, .62410290231517322776,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
992 -.64335622317683389875, .28188168266139524244, .22488495672137010675,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
993 -.39393811089283576186, .75184777995770096714e-1, .28472023119398293003,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
994 -.20410910833705899572, -.15590046962908511750, .23814567544617953125,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
995 .54442805556829031204e-1, -.22855930338589720954,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
996 .16303223615756629897e-1, .20172722433875559213,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
997 -.62723406421217419404e-1, -.17012230831020922010,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
998 .91754642766136561612e-1, .13927644821381121197, -.10886600968068418181,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
999 -.11139075654373395292, .11797455976331702879, 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1000 0., 0., .19531250000000000000e-2, -.19506820659607596598e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1001 .91865676095362231937e-1, -.26604607809696493849, .51425874205091288223,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1002 -.66047561132505329292, .48660109511591303851, -.17575661168678285615e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1003 -.36594333408055703366, .29088854695378694533, .11318677346656537927,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1004 -.31110645235730182168, .60733219161008787341e-1, .24333848233620420826,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1005 -.15254312332655419708, -.15995968483455388613, .19010344455215289289,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1006 .86040636766440260000e-1, -.19652589954665259945,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1007 -.27633388517205837713e-1, .18660848552712880387,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1008 -.15942583868416775867e-1, -.16902042462382064786,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1009 .47278526495327740646e-1, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1010 .97656250000000000000e-3, -.10731084460857378207e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1011 .55939644713816406331e-1, -.18118487371914493668, .39914857299829864263,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1012 -.60812322949933902435, .60011887183061967583, -.26002695805835928795,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1013 -.20883922404786010096, .38988130966114638081, -.11797833550782589082,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1014 -.25231824756239520077, .24817859972953934712, .90516417677868996417e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1015 -.26079073291293066798, .30259468817169480161e-1, .22178195264114178432,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1016 -.10569877864302048175, -.16679648389266977455, .14637718550245050850,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1017 .11219272032739559870, -.16359363640525750353, -.64358194509092101393e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1018 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .48828125000000000000e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1019 -.58542865274813470967e-2, .33461741635290096452e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1020 -.11979993155896201271, .29580223766987206958, -.51874761979436016742,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1021 .62861483498014306968, -.44868895761051453296, .12567502628371529386e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1022 .35040366183235474275, -.30466868455569500886, -.70903913601490112666e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1023 .30822791893032512740, -.11969443264190207736, -.20764760317621313946,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1024 .20629838355452128532, .95269702915334718507e-1, -.22432624768705133300,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1025 -.33103381593477797101e-2, .20570036048155716333,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1026 -.62208282720094518964e-1, -.17095309330441436348, 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1027 0., 0., 0., 0., 0., 0., .24414062500000000000e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1028 -.31714797501871532475e-2, .19721062526127334100e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1029 -.77311181185536498246e-1, .21124871792841566575, -.41777980401893650886,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1030 .59401977834943551650, -.56132417807488349048, .23433675061367565951,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1031 .20222775295220942126, -.38280372496506190127, .14443804214023095767,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1032 .22268950939178466797, -.27211314150777981984, -.34184876506180717313e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1033 .26006498895669734842, -.97650425186005090107e-1, -.19024527660129101293,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1034 .16789164198044635671, .10875811641651905252, -.19276785058805921298, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1035 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .12207031250000000000e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1036 -.17078941137247586143e-2, .11477733754843910060e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1037 -.48887017020924625462e-1, .14634927241421789683, -.32156282683019547854,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1038 .52165811920227223937, -.60001958466396926460, .41208501541480733755,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1039 -.11366945503190350975e-2, -.33968093962672089159, .30955190935923386766,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1040 .40657421856578262210e-1, -.29873400409871531764, .16094481791768257440,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1041 .16876122436206497694, -.23650217045022161255, -.33070260090574765012e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1042 .22985258456375907796, -.68645651043827097771e-1, 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1043 0., 0., 0., 0., 0., 0., 0., 0., .61035156250000000000e-4,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1044 -.91501857608428649078e-3, .66085179496951987952e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1045 -.30383171695850355404e-1, .98840838845366876117e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1046 -.23855447246420318989, .43322017468145613917, -.58049033744876107191,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1047 .52533893203742699346, -.20681056202371946180, -.20180000924562504384,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1048 .37503922291962681797, -.15988102869837429062, -.19823558102762374094,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1049 .28393023878803799622, -.11188133439357510403e-1, -.24730368377168229255,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1050 .14731529061377942839, .14878558042884266021, 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1051 0., 0., 0., 0., 0., 0., 0., 0., .30517578125000000000e-4,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1052 -.48804277318479845551e-3, .37696080990601968396e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1053 -.18603912108994738255e-1, .65325006755649582964e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1054 -.17162960707938819795, .34411527956476971322, -.52289350347082497959,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1055 .57319653625674910592, -.37662253421045430413, -.14099055105384663902e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1056 .33265570610216904208, -.30921265572647566661, -.19911390594166455281e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1057 .28738590811031797718, -.18912130469738472647, -.13235936203215819193,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1058 .25076406142356675279, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1059 0., 0., 0., .15258789062500000000e-4, -.25928719280954633249e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1060 .21327398937568540428e-2, -.11244626133630732010e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1061 .42375605740664331966e-1, -.12031130345907846211, .26352562258934426830,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1062 -.44590628258512682078, .56682835613700749379, -.49116715128261660395,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1063 .17845943097110339078, .20541650677432497477, -.36739803642257458221,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1064 .16776034069210108273, .17920950989905112908, -.28867732805385066532,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1065 .46473465543376206337e-1, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1066 0., 0., 0., 0., 0., .76293945312500000000e-5, -.13727610943181290891e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1067 .11979683091449349286e-2, -.67195313034570709806e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1068 .27044920779931968175e-1, -.82472196498517457862e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1069 .19570475044896150093, -.36391620788543817693, .52241392782736588032,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1070 -.54727504974907879912, .34211551468813581183, .31580472732719957762e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1071 -.32830006549176759667, .30563797665254420769, .64905014620683140120e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1072 -.27642986248995073032, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1073 0., 0., 0., 0., 0., 0., .38146972656250000000e-5,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1074 -.72454147007837596854e-4, .66859847582761390285e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1075 -.39751311980366118437e-2, .17015198650201528366e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1076 -.55443621868993855715e-1, .14157060481641692131, -.28641242619559616836,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1077 .45610665490966615415, -.55262786406029265394, .45818352706035500108,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1078 -.14984403004611673047, -.21163807462970713245, .36007252928843413718,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1079 -.17030961385712954159, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1080 0., 0., 0., 0., 0., 0., 0., .19073486328125000000e-5,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1081 -.38135049864067468562e-4, .37101393638555730015e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1082 -.23305339886279723213e-2, .10569913448297127219e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1083 -.36640175162216897547e-1, .10010476414320235508, -.21860074212675559892,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1084 .38124757096345313719, -.52020999209879669177, .52172632730659212045,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1085 -.30841620620308814614, -.50322546186721500184e-1, .32577618885114899053,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1086 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1087 0., 0., .95367431640625000000e-6, -.20021483206955925244e-4,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1088 .20481807322420625431e-3, -.13553476938058909882e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1089 .64919676350791905019e-2, -.23848725425069251903e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1090 .69384632678886421292e-1, -.16249711393618776934, .30736618106830314788,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1091 -.46399909601971539157, .53765031034002467225, -.42598991476520183929,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1092 .12130445348350215652, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1093 0., 0., 0., 0., 0., 0., 0., 0., .47683715820312500000e-6,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1094 -.10487707828484902486e-4, .11254146162337528943e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1095 -.78248929534271987118e-3, .39468337145306794566e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1096 -.15313546659475671763e-1, .47249070825218564146e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1097 -.11804374107101480543, .24031796927792491122, -.39629215049166341285,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1098 .51629108968402548545, -.49622372075429782915, 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1099 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1100 .23841857910156250000e-6, -.54823314130625337326e-5,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1101 .61575377321535518154e-4, -.44877834366497538134e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1102 .23774612048621955857e-2, -.97136347645161687796e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1103 .31671599547606636717e-1, -.84028665767000747480e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1104 .18298487576742964949, -.32647878537696945218, .46970971486488895077, 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1105 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1106 0., 0., 0., 0., .11920928955078125000e-6, -.28604020001177375838e-5,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1107 .33559227978295551013e-4, -.25583821662860610560e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1108 .14201552747787302339e-2, -.60938046986874414969e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1109 .20930869247951926793e-1, -.58745021125678072911e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1110 .13613725780285953720, -.26083988356030237586, 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1111 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1112 .59604644775390625000e-7, -.14898180663526043291e-5,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1113 .18224991282807693921e-4, -.14504433444608833821e-3,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1114 .84184722720281809548e-3, -.37846965430000478789e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1115 .13656355548211376864e-1, -.40409541997718853934e-1,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1116 .99226988101858325902e-1, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1117 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1118 .29802322387695312500e-7, -.77471708843445529468e-6,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1119 .98649879372606876995e-5, -.81814934772838523887e-4,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1120 .49554483992403011328e-3, -.23290922072351413938e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1121 .88068134250844034186e-2, -.27393666952485719070e-1, 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1122 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1123 0., 0., 0., .14901161193847656250e-7, -.40226235946098233685e-6,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1124 .53236418690561306700e-5, -.45933829691164002269e-4,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1125 .28982005232838857913e-3, -.14212974043211018374e-2,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1126 .56192363087488842264e-2, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1127 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1128 .74505805969238281250e-8, -.20858299254133430408e-6,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1129 .28648457300134381744e-5, -.25677535898258910850e-4,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1130 .16849420429491355445e-3, -.86062824010315834002e-3, 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1131 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1132 0., 0., 0., 0., 0., .37252902984619140625e-8, -.10801736017613096861e-6,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1133 .15376606719887104015e-5, -.14296523739727437959e-4,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1134 .97419023656050887203e-4, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1135 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1136 .18626451492309570312e-8, -.55871592916438890146e-7,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1137 .82331193828137454068e-6, -.79302250528382787666e-5, 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1138 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1139 0., 0., 0., 0., 0., 0., 0., .93132257461547851562e-9,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1140 -.28867244235852488244e-7, .43982811713864556957e-6, 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1141 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1142 0., 0., 0., 0., 0., 0., 0., 0., .46566128730773925781e-9,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1143 -.14899342093408253335e-7, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1144 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1145 0., 0., .23283064365386962891e-9
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1146 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1147
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1148 static const double Tright[33 * 33] =
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1149 {
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1150 1., .86602540378443864678, 0., -.33071891388307382381, 0.,
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1151 .20728904939721249057, 0., -.15128841196122722208, 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1152 .11918864298744029244, 0., -.98352013661686631224e-1, 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1153 .83727065404940845733e-1, 0., -.72893399403505841203e-1, 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1154 .64544632643375022436e-1, 0., -.57913170372415565639e-1, 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1155 .52518242575729562263e-1, 0., -.48043311993977520457e-1, 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1156 .44271433659733990243e-1, 0., -.41048928022856771981e-1, 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1157 .38263878662008271459e-1, 0., -.35832844026365304501e-1, 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1158 .50000000000000000000, .96824583655185422130, .57282196186948000082,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1159 -.21650635094610966169, -.35903516540862679125, .97578093724974971969e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1160 .26203921611325660506, -.55792409597991015609e-1, -.20644078533943456204,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1161 .36172381205961199479e-1, .17035068468874958194,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1162 -.25371838001497225980e-1, -.14501953125000000000,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1163 .18786835250972344757e-1, .12625507130328301066,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1164 -.14473795929590520582e-1, -.11179458309419422675,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1165 .11494434254897626155e-1, .10030855351241635862,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1166 -.93498556820544479096e-2, -.90964264465390582629e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1167 .77546391824364392762e-2, .83213457337452292745e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1168 -.65358085945588638605e-2, -.76680372422574234569e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1169 .55835321940047427169e-2, .71098828931825789428e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1170 -.48253327982967591019e-2, -.66274981937248958553e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1171 .42118078245337801387e-2, .62064306433355646267e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1172 -.37083386598903548973e-2, 0., 0., .25000000000000000000,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1173 .73950997288745200531, .83852549156242113615, .23175620272173946716,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1174 -.37791833195149451496, -.25710129174850522325, .21608307321780204633,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1175 .22844049245646009157, -.14009503000335388415, -.19897685605518413847,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1176 .98264706042471226893e-1, .17445445004279014046,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1177 -.72761100054958328401e-1, -.15463589893742108388,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1178 .56056770591708784481e-1, .13855313872640495158,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1179 -.44517752443294564781e-1, -.12534277657695128850,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1180 .36211835346039665762e-1, .11434398255136139683,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1181 -.30033588409423828125e-1, -.10506705408753910481,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1182 .25313077840725783008e-1, .97149327637744872155e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1183 -.21624927200393328444e-1, -.90319582367202122625e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1184 .18688433567711780666e-1, .84372291635345108584e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1185 -.16312261561845420752e-1, -.79149526894804751586e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1186 .14362333871852474757e-1, 0., 0., 0., .12500000000000000000,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1187 .49607837082461073572, .82265291131801144317, .59621200088559103072,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1188 -.80054302859059362371e-1, -.42612156697795759420,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1189 -.90098145270865592887e-1, .29769623255090078484, .13630307904779758221,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1190 -.21638835185708931831, -.14600247270306082052, .16348801804014290453,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1191 .14340708728599057249, -.12755243353979286190, -.13661523715071346961,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1192 .10215585947881057394, .12864248070157166547, -.83592528025348693602e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1193 -.12066728689302565222, .69633728678718053052e-1, .11314245177331919532,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1194 -.58882939251410088028e-1, -.10621835858758221487,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1195 .50432266865187597572e-1, .99916834723527771581e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1196 -.43672094283057258509e-1, -.94206380251950852413e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1197 .38181356812697746418e-1, .89035739656537771225e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1198 -.33661934598216332678e-1, 0., 0., 0., 0., .62500000000000000000e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1199 .31093357409581873586, .67604086414949799246, .75644205980613611039,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1200 .28990586430124175741, -.30648508196770360914, -.35801372616842500052,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1201 .91326869828709014708e-1, .31127929687500000000, .90915752838698393094e-2,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1202 -.25637381283965534330, -.57601077850322797594e-1, .21019685709225757945,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1203 .81244992138514014256e-1, -.17375078516720988858,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1204 -.92289437277967051125e-1, .14527351914265391374,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1205 .96675340792832019889e-1, -.12289485697108543415,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1206 -.97448175340011084006e-1, .10511755943298339844,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1207 .96242247086378239657e-1, -.90822942272780513537e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1208 -.93966350452322132384e-1, .79189411876493712558e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1209 .91139307067989309325e-1, -.69613039934383197265e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1210 -.88062491671135767870e-1, .61646331729340817494e-1, 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1211 .31250000000000000000e-1, .18684782411095934408, .50176689760410660236,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1212 .74784031498626095398, .56472001151566251186, -.14842464993721351203e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1213 -.41162920273003120936, -.20243071230196532282, .23772054897172750436,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1214 .24963810923972235950, -.12116179938394678936, -.24330535483519110663,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1215 .47903849781124471359e-1, .22133299683101224293,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1216 -.20542915138527200983e-2, -.19653465717678146728,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1217 -.26818172626509178444e-1, .17319122357631210944,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1218 .45065391411065545445e-1, -.15253391395444065941,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1219 -.56543897711725408302e-1, .13469154928743585367,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1220 .63632471400208840155e-1, -.11941684923913523817,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1221 -.67828850207933293098e-1, .10636309084510652670,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1222 .70095786922999181504e-1, -.95187373095150709082e-1, 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1223 0., .15625000000000000000e-1, .10909562534194485289,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1224 .34842348626527747318, .64461114561628111443, .69382480527334683659,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1225 .29551102358528827763, -.25527584713978439819, -.38878771718544715394,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1226 -.82956185835347407489e-2, .31183177761966943912, .12831420840372374767,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1227 -.22067618205599434368, -.17569196937129496961, .14598057000132284135,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1228 .18864406621763419484, -.89921002550386645767e-1, -.18571835020187122114,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1229 .48967672227195481777e-1, .17584685670380332798,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1230 -.19267984545067426324e-1, -.16335437520503462738,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1231 -.22598055455032407594e-2, .15032800884170631129,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
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175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1233 -.29227555960587143675e-1, .12604194747513151053, 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1234 0., .78125000000000000000e-2, .62377810244809812496e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1235 .23080781467370883845, .50841310636012325368, .69834547012574056043,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
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diff changeset
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diff changeset
1339 .20481807322420625431e-3, .13553476938058909882e-2,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1340 .64919676350791905019e-2, .23848725425069251903e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1341 .69384632678886421292e-1, .16249711393618776934, .30736618106830314788,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1342 .46399909601971539157, .53765031034002467225, .42598991476520183929,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1343 .12130445348350215652, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1344 0., 0., 0., 0., 0., 0., 0., 0., .47683715820312500000e-6,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1345 .10487707828484902486e-4, .11254146162337528943e-3,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1346 .78248929534271987118e-3, .39468337145306794566e-2,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1347 .15313546659475671763e-1, .47249070825218564146e-1, .11804374107101480543,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1348 .24031796927792491122, .39629215049166341285, .51629108968402548545,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1349 .49622372075429782915, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1350 0., 0., 0., 0., 0., 0., 0., 0., 0., .23841857910156250000e-6,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1351 .54823314130625337326e-5, .61575377321535518154e-4,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1352 .44877834366497538134e-3, .23774612048621955857e-2,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1353 .97136347645161687796e-2, .31671599547606636717e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1354 .84028665767000747480e-1, .18298487576742964949, .32647878537696945218,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1355 .46970971486488895077, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1356 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., .11920928955078125000e-6,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1357 .28604020001177375838e-5, .33559227978295551013e-4,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1358 .25583821662860610560e-3, .14201552747787302339e-2,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1359 .60938046986874414969e-2, .20930869247951926793e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1360 .58745021125678072911e-1, .13613725780285953720, .26083988356030237586,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1361 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1362 0., 0., 0., 0., 0., 0., .59604644775390625000e-7,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1363 .14898180663526043291e-5, .18224991282807693921e-4,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1364 .14504433444608833821e-3, .84184722720281809548e-3,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1365 .37846965430000478789e-2, .13656355548211376864e-1,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1366 .40409541997718853934e-1, .99226988101858325902e-1, 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1367 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1368 0., 0., .29802322387695312500e-7, .77471708843445529468e-6,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1369 .98649879372606876995e-5, .81814934772838523887e-4,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1370 .49554483992403011328e-3, .23290922072351413938e-2,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1371 .88068134250844034186e-2, .27393666952485719070e-1, 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1372 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1373 0., 0., 0., .14901161193847656250e-7, .40226235946098233685e-6,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1374 .53236418690561306700e-5, .45933829691164002269e-4,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1375 .28982005232838857913e-3, .14212974043211018374e-2,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1376 .56192363087488842264e-2, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1377 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1378 .74505805969238281250e-8, .20858299254133430408e-6,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1379 .28648457300134381744e-5, .25677535898258910850e-4,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1380 .16849420429491355445e-3, .86062824010315834002e-3, 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1381 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1382 0., 0., 0., 0., 0., .37252902984619140625e-8, .10801736017613096861e-6,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1383 .15376606719887104015e-5, .14296523739727437959e-4,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1384 .97419023656050887203e-4, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1385 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1386 .18626451492309570312e-8, .55871592916438890146e-7,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1387 .82331193828137454068e-6, .79302250528382787666e-5, 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1388 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1389 0., 0., 0., 0., 0., 0., 0., .93132257461547851562e-9,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1390 .28867244235852488244e-7, .43982811713864556957e-6, 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1391 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1392 0., 0., 0., 0., 0., 0., 0., 0., .46566128730773925781e-9,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1393 .14899342093408253335e-7, 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1394 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1395 0., 0., .23283064365386962891e-9
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1396 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1397
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1398 /* Allocates a workspace for the given maximum number of intervals.
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1399 Note that if the workspace gets filled, the intervals with the
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1400 lowest error estimates are dropped. The maximum number of
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1401 intervals is therefore not the maximum number of intervals
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1402 that will be computed, but merely the size of the buffer.
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1403 */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1404
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1405 /* Compute the product of the fx with one of the inverse
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1406 Vandermonde-like matrices. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1407
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1408 void
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1409 Vinvfx (const double *fx, double *c, const int d)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1410 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1411
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1412 int i, j;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1413
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1414 switch (d)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1415 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1416 case 0:
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1417 for (i = 0; i <= 4; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1418 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1419 c[i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1420 for (j = 0; j <= 4; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1421 c[i] += V1inv[i * 5 + j] * fx[j * 8];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1422 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1423 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1424 case 1:
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1425 for (i = 0; i <= 8; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1426 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1427 c[i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1428 for (j = 0; j <= 8; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1429 c[i] += V2inv[i * 9 + j] * fx[j * 4];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1430 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1431 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1432 case 2:
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1433 for (i = 0; i <= 16; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1434 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1435 c[i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1436 for (j = 0; j <= 16; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1437 c[i] += V3inv[i * 17 + j] * fx[j * 2];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1438 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1439 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1440 case 3:
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1441 for (i = 0; i <= 32; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1442 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1443 c[i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1444 for (j = 0; j <= 32; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1445 c[i] += V4inv[i * 33 + j] * fx[j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1446 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1447 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1448 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1449
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1450 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1451
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1452
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1453 /* Downdate the interpolation given by the n coefficients c
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1454 by removing the nodes with indices in nans. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1455
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1456 void
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1457 downdate (double *c, int n, int d, int *nans, int nnans)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1458 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1459
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1460 static const int bidx[4] = { 0, 6, 16, 34 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1461 double b_new[34], alpha;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1462 int i, j;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1463
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1464 for (i = 0; i <= n + 1; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1465 b_new[i] = bee[bidx[d] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1466 for (i = 0; i < nnans; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1467 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1468 b_new[n + 1] = b_new[n + 1] / Lalpha[n];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1469 b_new[n] = (b_new[n] + xi[nans[i]] * b_new[n + 1]) / Lalpha[n - 1];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1470 for (j = n - 1; j > 0; j--)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1471 b_new[j] =
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1472 (b_new[j] + xi[nans[i]] * b_new[j + 1] -
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1473 Lgamma[j + 1] * b_new[j + 2]) / Lalpha[j - 1];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1474 for (j = 0; j <= n; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1475 b_new[j] = b_new[j + 1];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1476 alpha = c[n] / b_new[n];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1477 for (j = 0; j < n; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1478 c[j] -= alpha * b_new[j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1479 c[n] = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1480 n--;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1481 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1482
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1483 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1484
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1485
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1486 /* The actual integration routine. */
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1487
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14854
diff changeset
1488 DEFUN (quadcc, args, nargout,
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1489 "-*- texinfo -*-\n\
12612
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1490 @deftypefn {Function File} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b})\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1491 @deftypefnx {Function File} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b}, @var{tol})\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1492 @deftypefnx {Function File} {@var{q} =} quadcc (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing})\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1493 @deftypefnx {Function File} {[@var{q}, @var{err}, @var{nr_points}] =} quadcc (@dots{})\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1494 Numerically evaluate the integral of @var{f} from @var{a} to @var{b}\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1495 using the doubly-adaptive Clenshaw-Curtis quadrature described by P. Gonnet\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1496 in @cite{Increasing the Reliability of Adaptive Quadrature Using Explicit\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1497 Interpolants}.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1498 @var{f} is a function handle, inline function, or string\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1499 containing the name of the function to evaluate.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1500 The function @var{f} must be vectorized and must return a vector of output\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1501 values if given a vector of input values. For example,\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1502 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1503 @example\n\
14360
97883071e8e4 doc: Correct off-by-1 spacings in all .cc docstrings
Rik <octave@nomad.inbox5.com>
parents: 14151
diff changeset
1504 f = @@(x) x .* sin (1./x) .* sqrt (abs (1 - x));\n\
12612
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1505 @end example\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1506 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1507 @noindent\n\
16766
7268845c0a1e avoid backquote in error messages, some uses in doc strings
John W. Eaton <jwe@octave.org>
parents: 15996
diff changeset
1508 which uses the element-by-element ``dot'' form for all operators.\n\
12612
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1509 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1510 @var{a} and @var{b} are the lower and upper limits of integration. Either\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1511 or both limits may be infinite. @code{quadcc} handles an inifinite limit\n\
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1512 by substituting the variable of integration with @code{x = tan (pi/2*u)}.\n\
12612
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1513 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1514 The optional argument @var{tol} defines the relative tolerance used to stop\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1515 the integration procedure. The default value is @math{1e^{-6}}.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1516 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1517 The optional argument @var{sing} contains a list of points where the\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1518 integrand has known singularities, or discontinuities\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1519 in any of its derivatives, inside the integration interval.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1520 For the example above, which has a discontinuity at x=1, the call to\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1521 @code{quadcc} would be as follows\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1522 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1523 @example\n\
14360
97883071e8e4 doc: Correct off-by-1 spacings in all .cc docstrings
Rik <octave@nomad.inbox5.com>
parents: 14151
diff changeset
1524 int = quadcc (f, a, b, 1.0e-6, [ 1 ]);\n\
12612
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1525 @end example\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1526 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1527 The result of the integration is returned in @var{q}.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1528 @var{err} is an estimate of the absolute integration error and\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1529 @var{nr_points} is the number of points at which the integrand was evaluated.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1530 If the adaptive integration did not converge, the value of\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1531 @var{err} will be larger than the requested tolerance. Therefore, it is\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1532 recommended to verify this value for difficult integrands.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1533 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1534 @code{quadcc} is capable of dealing with non-numeric\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1535 values of the integrand such as @code{NaN} or @code{Inf}.\n\
12642
f96b9b9f141b doc: Periodic grammarcheck and spellcheck of documentation.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1536 If the integral diverges, and @code{quadcc} detects this,\n\
12612
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1537 then a warning is issued and @code{Inf} or @code{-Inf} is returned.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1538 \n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1539 Note: @code{quadcc} is a general purpose quadrature algorithm\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1540 and, as such, may be less efficient for a smooth or otherwise\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1541 well-behaved integrand than other methods such as @code{quadgk}.\n\
16cca721117b doc: Update all documentation for chapter on Numerical Integration
Rik <octave@nomad.inbox5.com>
parents: 12553
diff changeset
1542 \n\
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1543 The algorithm uses Clenshaw-Curtis quadrature rules of increasing\n\
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1544 degree in each interval and bisects the interval if either the\n\
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1545 function does not appear to be smooth or a rule of maximum\n\
12553
7c915d013b9c quadcc: Add reference to original paper in docstring.
Rik <octave@nomad.inbox5.com>
parents: 11590
diff changeset
1546 degree has been reached. The error estimate is computed from the\n\
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1547 L2-norm of the difference between two successive interpolations\n\
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1548 of the integrand over the nodes of the respective quadrature rules.\n\
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1549 \n\
12553
7c915d013b9c quadcc: Add reference to original paper in docstring.
Rik <octave@nomad.inbox5.com>
parents: 11590
diff changeset
1550 Reference: P. Gonnet, @cite{Increasing the Reliability of Adaptive\n\
7c915d013b9c quadcc: Add reference to original paper in docstring.
Rik <octave@nomad.inbox5.com>
parents: 11590
diff changeset
1551 Quadrature Using Explicit Interpolants}, ACM Transactions on\n\
7c915d013b9c quadcc: Add reference to original paper in docstring.
Rik <octave@nomad.inbox5.com>
parents: 11590
diff changeset
1552 Mathematical Software, Vol. 37, Issue 3, Article No. 3, 2010.\n\
11572
7d6d8c1e471f Grammarcheck Texinfo for files in src directory.
Rik <octave@nomad.inbox5.com>
parents: 11562
diff changeset
1553 @seealso{quad, quadv, quadl, quadgk, trapz, dblquad, triplequad}\n\
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1554 @end deftypefn")
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1555 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1556 octave_value_list retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1557
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1558 /* Some constants that we will need. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1559 static const int n[4] = { 4, 8, 16, 32 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1560 static const int skip[4] = { 8, 4, 2, 1 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1561 static const int idx[4] = { 0, 5, 14, 31 };
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1562 static const double w = M_SQRT2 / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1563 static const int ndiv_max = 20;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1564
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1565 /* Arguments left and right */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1566 int nargin = args.length ();
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1567 octave_function *fcn;
15996
1aff8c38c53c use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents: 15995
diff changeset
1568 double a, b, tol, *sing;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1569
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1570 /* Variables needed for transforming the integrand. */
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1571 bool wrap = false;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1572 double xw;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1573
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1574 /* Stuff we will need to call the integrand. */
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1575 octave_value_list fargs, fvals;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1576
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1577 /* Actual variables (as opposed to constants above). */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1578 double m, h, ml, hl, mr, hr, temp;
13219
cf5ebc0e47e4 fix warnings for unused but set variables and shadowed variables
John W. Eaton <jwe@octave.org>
parents: 13141
diff changeset
1579 double igral, err, igral_final, err_final;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1580 int nivals, neval = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1581 int i, j, d, split, t;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1582 int nnans, nans[33];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1583 cquad_ival *iv, *ivl, *ivr;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1584 double nc, ncdiff;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1585
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1586
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1587 /* Parse the input arguments. */
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1588 if (nargin < 3)
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1589 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1590 print_usage ();
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1591 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1592 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1593
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1594 if (args(0).is_function_handle () || args(0).is_inline_function ())
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1595 fcn = args(0).function_value ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1596 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1597 {
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1598 std::string fcn_name = unique_symbol_name ("__quadcc_fcn__");
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1599 std::string fname = "function y = ";
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1600 fname.append (fcn_name);
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1601 fname.append ("(x) y = ");
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1602 fcn = extract_function (args(0), "quadcc", fcn_name, fname,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1603 "; endfunction");
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1604 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1605
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1606 if (! args(1).is_real_scalar ())
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1607 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1608 error ("quadcc: lower limit of integration (A) must be a single real scalar");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1609 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1610 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1611 else
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1612 a = args(1).double_value ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1613
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1614 if (! args(2).is_real_scalar ())
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1615 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1616 error ("quadcc: upper limit of integration (B) must be a single real scalar");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1617 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1618 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1619 else
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1620 b = args(2).double_value ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1621
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1622 if (nargin < 4 || args(3).is_empty ())
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1623 tol = 1.0e-6;
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1624 else if (! args(3).is_real_scalar () || args(3).double_value () <= 0)
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1625 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1626 error ("quadcc: tolerance (TOL) must be a single real scalar > 0");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1627 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1628 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1629 else
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1630 tol = args(3).double_value ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1631
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1632 if (nargin < 5)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1633 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1634 nivals = 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1635 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1636 else if (!(args(4).is_real_scalar () || args(4).is_real_matrix ()))
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1637 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1638 error ("quadcc: list of singularities (SING) must be a vector of real values");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1639 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1640 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1641 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1642 {
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1643 nivals = 1 + args(4).numel ();
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1644 }
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1645
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1646 int cquad_heapsize = (nivals >= min_cquad_heapsize ? nivals + 1
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1647 : min_cquad_heapsize);
15996
1aff8c38c53c use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents: 15995
diff changeset
1648 /* The interval heap. */
1aff8c38c53c use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents: 15995
diff changeset
1649 OCTAVE_LOCAL_BUFFER (cquad_ival, ivals, cquad_heapsize);
1aff8c38c53c use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents: 15995
diff changeset
1650 OCTAVE_LOCAL_BUFFER (double, iivals, cquad_heapsize);
1aff8c38c53c use octave_local_buffer for temporary arrays in quadcc
John W. Eaton <jwe@octave.org>
parents: 15995
diff changeset
1651 OCTAVE_LOCAL_BUFFER (int, heap, cquad_heapsize);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1652
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1653 if (nivals == 1)
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1654 {
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1655 iivals[0] = a;
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1656 iivals[1] = b;
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1657 }
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1658 else
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1659 {
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1660 // Intervals around singularities
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1661 sing = args(4).array_value ().fortran_vec ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1662 iivals[0] = a;
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1663 for (i = 0; i < nivals - 1; i++)
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1664 iivals[i + 1] = sing[i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1665 iivals[nivals] = b;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1666 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1667
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1668 /* If a or b are +/-Inf, transform the integral. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1669 if (xisinf (a) || xisinf (b))
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1670 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1671 wrap = true;
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1672 for (i = 0; i < nivals + 1; i++)
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1673 if (xisinf (iivals[i]))
14151
e8bad0dc263c quadcc: use gnulib::copysign
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
1674 iivals[i] = gnulib::copysign (1.0, iivals[i]);
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1675 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1676 iivals[i] = 2.0 * atan (iivals[i]) / M_PI;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1677 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1678
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1679
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1680 /* Initialize the heaps. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1681 for (i = 0; i < cquad_heapsize; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1682 heap[i] = i;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1683
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1684 /* Create the first interval(s). */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1685 igral = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1686 err = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1687 for (j = 0; j < nivals; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1688 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1689
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1690 /* Initialize the interval. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1691 iv = &(ivals[heap[j]]);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1692 m = (iivals[j] + iivals[j + 1]) / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1693 h = (iivals[j + 1] - iivals[j]) / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1694 nnans = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1695 ColumnVector ex (33);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1696 if (wrap)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1697 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1698 for (i = 0; i <= n[3]; i++)
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1699 ex(i) = tan (M_PI / 2 * (m + xi[i] * h));
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1700 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1701 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1702 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1703 for (i = 0; i <= n[3]; i++)
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1704 ex(i) = m + xi[i] * h;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1705 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1706 fargs(0) = ex;
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1707 fvals = feval (fcn, fargs, 1);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1708 if (fvals.length () != 1 || ! fvals(0).is_real_matrix ())
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1709 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1710 error ("quadcc: integrand F must return a single, real-valued vector");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1711 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1712 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1713 Matrix effex = fvals(0).matrix_value ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1714 if (effex.length () != ex.length ())
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1715 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1716 error ("quadcc: integrand F must return a single, real-valued vector of the same size as the input");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1717 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1718 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1719 for (i = 0; i <= n[3]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1720 {
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1721 iv->fx[i] = effex(i);
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1722 if (wrap)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1723 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1724 xw = ex(i);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1725 iv->fx[i] *= (1.0 + xw * xw) * M_PI / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1726 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1727 neval++;
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1728 if (! xfinite (iv->fx[i]))
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1729 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1730 nans[nnans++] = i;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1731 iv->fx[i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1732 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1733 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1734 Vinvfx (iv->fx, &(iv->c[idx[3]]), 3);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1735 Vinvfx (iv->fx, &(iv->c[idx[2]]), 2);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1736 Vinvfx (iv->fx, &(iv->c[0]), 0);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1737 for (i = 0; i < nnans; i++)
15437
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
1738 iv->fx[nans[i]] = octave_NaN;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1739 iv->a = iivals[j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1740 iv->b = iivals[j + 1];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1741 iv->depth = 3;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1742 iv->rdepth = 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1743 iv->ndiv = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1744 iv->igral = 2 * h * iv->c[idx[3]] * w;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1745 nc = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1746 for (i = n[2] + 1; i <= n[3]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1747 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1748 temp = iv->c[idx[3] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1749 nc += temp * temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1750 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1751 ncdiff = nc;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1752 for (i = 0; i <= n[2]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1753 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1754 temp = iv->c[idx[2] + i] - iv->c[idx[3] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1755 ncdiff += temp * temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1756 nc += iv->c[idx[3] + i] * iv->c[idx[3] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1757 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1758 ncdiff = sqrt (ncdiff);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1759 nc = sqrt (nc);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1760 iv->err = ncdiff * 2 * h;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1761 if (ncdiff / nc > 0.1 && iv->err < 2 * h * nc)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1762 iv->err = 2 * h * nc;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1763
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1764 /* Tabulate this interval's data. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1765 igral += iv->igral;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1766 err += iv->err;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1767
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1768 /* Sift it up the heap. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1769 i = j;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1770 while (i > 0 && ivals[heap[i / 2]].err < ivals[heap[i]].err)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1771 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1772 temp = heap[i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1773 heap[i] = heap[i / 2];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1774 heap[i / 2] = temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1775 i /= 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1776 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1777
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1778 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1779
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1780
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1781 /* Initialize some global values. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1782 igral_final = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1783 err_final = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1784
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1785
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1786 /* Main loop. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1787 while (nivals > 0 && err > 0.0 && err > fabs (igral) * tol
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1788 && !(err_final > fabs (igral) * tol
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1789 && err - err_final < fabs (igral) * tol))
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1790 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1791
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1792 /* Allow the user to interrupt. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1793 OCTAVE_QUIT;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1794
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1795 /* Put our finger on the interval with the largest error. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1796 iv = &(ivals[heap[0]]);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1797 m = (iv->a + iv->b) / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1798 h = (iv->b - iv->a) / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1799
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1800 #if (DEBUG_QUADCC)
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1801 printf ("quadcc: processing ival %i (of %i) with [%e,%e] int=%e, err=%e, depth=%i\n",
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1802 heap[0], nivals, iv->a, iv->b, iv->igral, iv->err, iv->depth);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1803 #endif
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1804
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1805 /* Should we try to increase the degree? */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1806 if (iv->depth < 3)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1807 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1808
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1809 /* Keep tabs on some variables. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1810 d = ++iv->depth;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1811
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1812 /* Get the new (missing) function values */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1813 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1814 ColumnVector ex (n[d] / 2);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1815 if (wrap)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1816 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1817 for (i = 0; i < n[d] / 2; i++)
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1818 ex(i) = tan (M_PI / 2 * (m + xi[(2 * i + 1) * skip[d]] * h));
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1819 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1820 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1821 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1822 for (i = 0; i < n[d] / 2; i++)
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1823 ex(i) = m + xi[(2 * i + 1) * skip[d]] * h;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1824 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1825 fargs(0) = ex;
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1826 fvals = feval (fcn, fargs, 1);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1827 if (fvals.length () != 1 || ! fvals(0).is_real_matrix ())
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1828 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1829 error ("quadcc: integrand F must return a single, real-valued vector");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1830 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1831 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1832 Matrix effex = fvals(0).matrix_value ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1833 if (effex.length () != ex.length ())
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1834 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1835 error ("quadcc: integrand F must return a single, real-valued vector of the same size as the input");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1836 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1837 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1838 neval += effex.length ();
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1839 for (i = 0; i < n[d] / 2; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1840 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1841 j = (2 * i + 1) * skip[d];
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1842 iv->fx[j] = effex(i);
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1843 if (wrap)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1844 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1845 xw = ex(i);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1846 iv->fx[j] *= (1.0 + xw * xw) * M_PI / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1847 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1848 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1849 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1850 nnans = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1851 for (i = 0; i <= 32; i += skip[d])
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1852 {
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1853 if (! xfinite (iv->fx[i]))
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1854 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1855 nans[nnans++] = i;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1856 iv->fx[i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1857 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1858 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1859
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1860 /* Compute the new coefficients. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1861 Vinvfx (iv->fx, &(iv->c[idx[d]]), d);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1862 /* Downdate any NaNs. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1863 if (nnans > 0)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1864 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1865 downdate (&(iv->c[idx[d]]), n[d], d, nans, nnans);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1866 for (i = 0; i < nnans; i++)
15437
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
1867 iv->fx[nans[i]] = octave_NaN;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1868 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1869
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1870 /* Compute the error estimate. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1871 nc = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1872 for (i = n[d - 1] + 1; i <= n[d]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1873 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1874 temp = iv->c[idx[d] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1875 nc += temp * temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1876 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1877 ncdiff = nc;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1878 for (i = 0; i <= n[d - 1]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1879 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1880 temp = iv->c[idx[d - 1] + i] - iv->c[idx[d] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1881 ncdiff += temp * temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1882 nc += iv->c[idx[d] + i] * iv->c[idx[d] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1883 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1884 ncdiff = sqrt (ncdiff);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1885 nc = sqrt (nc);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1886 iv->err = ncdiff * 2 * h;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1887 /* Compute the local integral. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1888 iv->igral = 2 * h * w * iv->c[idx[d]];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1889 /* Split the interval prematurely? */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1890 split = (nc > 0 && ncdiff / nc > 0.1);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1891 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1892
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1893 /* Maximum degree reached, just split. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1894 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1895 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1896 split = 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1897 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1898
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1899
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1900 /* Should we drop this interval? */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1901 if ((m + h * xi[0]) >= (m + h * xi[1])
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1902 || (m + h * xi[31]) >= (m + h * xi[32])
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1903 || iv->err < fabs (iv->igral)
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1904 * std::numeric_limits<double>::epsilon () * 10)
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1905 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1906
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1907 #if (DEBUG_QUADCC)
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1908 printf ("quadcc: dropping ival %i (of %i) with [%e,%e] int=%e, err=%e, depth=%i\n",
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
1909 heap[0], nivals, iv->a, iv->b, iv->igral, iv->err, iv->depth);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1910 #endif
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1911
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1912 /* Keep this interval's contribution */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1913 err_final += iv->err;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1914 igral_final += iv->igral;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1915 /* Swap with the last element on the heap */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1916 t = heap[nivals - 1];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1917 heap[nivals - 1] = heap[0];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1918 heap[0] = t;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1919 nivals--;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1920 /* Fix up the heap */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1921 i = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1922 while (2 * i + 1 < nivals)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1923 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1924 /* Get the kids */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1925 j = 2 * i + 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1926 /* If the j+1st entry exists and is larger than the jth,
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1927 use it instead. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1928 if (j + 1 < nivals
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1929 && ivals[heap[j + 1]].err >= ivals[heap[j]].err)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1930 j++;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1931 /* Do we need to move the ith entry up? */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1932 if (ivals[heap[j]].err <= ivals[heap[i]].err)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1933 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1934 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1935 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1936 t = heap[j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1937 heap[j] = heap[i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1938 heap[i] = t;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1939 i = j;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1940 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1941 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1942
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1943 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1945 /* Do we need to split this interval? */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1946 else if (split)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1947 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1948
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1949 /* Some values we will need often... */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1950 d = iv->depth;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1951 /* Generate the interval on the left */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1952 ivl = &(ivals[heap[nivals++]]);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1953 ivl->a = iv->a;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1954 ivl->b = m;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1955 ml = (ivl->a + ivl->b) / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1956 hl = h / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1957 ivl->depth = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1958 ivl->rdepth = iv->rdepth + 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1959 ivl->fx[0] = iv->fx[0];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1960 ivl->fx[32] = iv->fx[16];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1961 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1962 ColumnVector ex (n[0] - 1);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1963 if (wrap)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1964 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1965 for (i = 0; i < n[0] - 1; i++)
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1966 ex(i) = tan (M_PI / 2 * (ml + xi[(i + 1) * skip[0]] * hl));
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1967 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1968 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1969 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1970 for (i = 0; i < n[0] - 1; i++)
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1971 ex(i) = ml + xi[(i + 1) * skip[0]] * hl;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1972 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1973 fargs(0) = ex;
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1974 fvals = feval (fcn, fargs, 1);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1975 if (fvals.length () != 1 || ! fvals(0).is_real_matrix ())
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1976 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1977 error ("quadcc: integrand F must return a single, real-valued vector");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1978 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1979 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1980 Matrix effex = fvals(0).matrix_value ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1981 if (effex.length () != ex.length ())
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1982 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1983 error ("quadcc: integrand F must return a single, real-valued vector of the same size as the input");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
1984 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1985 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1986 neval += effex.length ();
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1987 for (i = 0; i < n[0] - 1; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1988 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1989 j = (i + 1) * skip[0];
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
1990 ivl->fx[j] = effex(i);
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1991 if (wrap)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1992 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1993 xw = ex(i);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1994 ivl->fx[j] *= (1.0 + xw * xw) * M_PI / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1995 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1996 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1997 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1998 nnans = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
1999 for (i = 0; i <= 32; i += skip[0])
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2000 {
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2001 if (! xfinite (ivl->fx[i]))
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2002 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2003 nans[nnans++] = i;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2004 ivl->fx[i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2005 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2006 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2007 Vinvfx (ivl->fx, ivl->c, 0);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2008 if (nnans > 0)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2009 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2010 downdate (ivl->c, n[0], 0, nans, nnans);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2011 for (i = 0; i < nnans; i++)
15437
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2012 ivl->fx[nans[i]] = octave_NaN;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2013 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2014 for (i = 0; i <= n[d]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2015 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2016 ivl->c[idx[d] + i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2017 for (j = i; j <= n[d]; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2018 ivl->c[idx[d] + i] += Tleft[i * 33 + j] * iv->c[idx[d] + j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2019 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2020 ncdiff = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2021 for (i = 0; i <= n[0]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2022 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2023 temp = ivl->c[i] - ivl->c[idx[d] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2024 ncdiff += temp * temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2025 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2026 for (i = n[0] + 1; i <= n[d]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2027 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2028 temp = ivl->c[idx[d] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2029 ncdiff += temp * temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2030 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2031 ncdiff = sqrt (ncdiff);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2032 ivl->err = ncdiff * h;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2033 /* Check for divergence. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2034 ivl->ndiv = iv->ndiv + (fabs (iv->c[0]) > 0
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2035 && ivl->c[0] / iv->c[0] > 2);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2036 if (ivl->ndiv > ndiv_max && 2 * ivl->ndiv > ivl->rdepth)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2037 {
14151
e8bad0dc263c quadcc: use gnulib::copysign
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
2038 igral = gnulib::copysign (octave_Inf, igral);
11590
4ced6b90fffb style fixes for warning and error messages in source files
John W. Eaton <jwe@octave.org>
parents: 11586
diff changeset
2039 warning ("quadcc: divergent integral detected");
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2040 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2041 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2042
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2043 /* Compute the local integral. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2044 ivl->igral = h * w * ivl->c[0];
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
2045
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
2046
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2047 /* Generate the interval on the right */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2048 ivr = &(ivals[heap[nivals++]]);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2049 ivr->a = m;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2050 ivr->b = iv->b;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2051 mr = (ivr->a + ivr->b) / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2052 hr = h / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2053 ivr->depth = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2054 ivr->rdepth = iv->rdepth + 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2055 ivr->fx[0] = iv->fx[16];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2056 ivr->fx[32] = iv->fx[32];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2057 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2058 ColumnVector ex (n[0] - 1);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2059 if (wrap)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2060 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2061 for (i = 0; i < n[0] - 1; i++)
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2062 ex(i) = tan (M_PI / 2 * (mr + xi[(i + 1) * skip[0]] * hr));
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2063 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2064 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2065 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2066 for (i = 0; i < n[0] - 1; i++)
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2067 ex(i) = mr + xi[(i + 1) * skip[0]] * hr;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2068 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2069 fargs(0) = ex;
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2070 fvals = feval (fcn, fargs, 1);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2071 if (fvals.length () != 1 || ! fvals(0).is_real_matrix ())
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2072 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2073 error ("quadcc: integrand F must return a single, real-valued vector");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2074 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2075 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2076 Matrix effex = fvals(0).matrix_value ();
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2077 if (effex.length () != ex.length ())
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2078 {
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2079 error ("quadcc: integrand F must return a single, real-valued vector of the same size as the input");
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2080 return retval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2081 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2082 neval += effex.length ();
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2083 for (i = 0; i < n[0] - 1; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2084 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2085 j = (i + 1) * skip[0];
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2086 ivr->fx[j] = effex(i);
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2087 if (wrap)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2088 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2089 xw = ex(i);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2090 ivr->fx[j] *= (1.0 + xw * xw) * M_PI / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2091 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2092 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2093 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2094 nnans = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2095 for (i = 0; i <= 32; i += skip[0])
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2096 {
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2097 if (! xfinite (ivr->fx[i]))
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2098 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2099 nans[nnans++] = i;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2100 ivr->fx[i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2101 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2102 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2103 Vinvfx (ivr->fx, ivr->c, 0);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2104 if (nnans > 0)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2105 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2106 downdate (ivr->c, n[0], 0, nans, nnans);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2107 for (i = 0; i < nnans; i++)
15437
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2108 ivr->fx[nans[i]] = octave_NaN;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2109 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2110 for (i = 0; i <= n[d]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2111 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2112 ivr->c[idx[d] + i] = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2113 for (j = i; j <= n[d]; j++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2114 ivr->c[idx[d] + i] += Tright[i * 33 + j] * iv->c[idx[d] + j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2115 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2116 ncdiff = 0.0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2117 for (i = 0; i <= n[0]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2118 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2119 temp = ivr->c[i] - ivr->c[idx[d] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2120 ncdiff += temp * temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2121 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2122 for (i = n[0] + 1; i <= n[d]; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2123 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2124 temp = ivr->c[idx[d] + i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2125 ncdiff += temp * temp;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2126 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2127 ncdiff = sqrt (ncdiff);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2128 ivr->err = ncdiff * h;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2129 /* Check for divergence. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2130 ivr->ndiv = iv->ndiv + (fabs (iv->c[0]) > 0
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2131 && ivr->c[0] / iv->c[0] > 2);
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2132 if (ivr->ndiv > ndiv_max && 2 * ivr->ndiv > ivr->rdepth)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2133 {
14151
e8bad0dc263c quadcc: use gnulib::copysign
John W. Eaton <jwe@octave.org>
parents: 14138
diff changeset
2134 igral = gnulib::copysign (octave_Inf, igral);
11590
4ced6b90fffb style fixes for warning and error messages in source files
John W. Eaton <jwe@octave.org>
parents: 11586
diff changeset
2135 warning ("quadcc: divergent integral detected");
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2136 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2137 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2138
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2139 /* Compute the local integral. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2140 ivr->igral = h * w * ivr->c[0];
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
2141
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
2142
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2143 /* Fix-up the heap: we now have one interval on top
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2144 that we don't need any more and two new, unsorted
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2145 ones at the bottom. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2146 /* Flip the last interval to the top of the heap and
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2147 sift down. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2148 t = heap[nivals - 1];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2149 heap[nivals - 1] = heap[0];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2150 heap[0] = t;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2151 nivals--;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2152 /* Sift this interval back down the heap. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2153 i = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2154 while (2 * i + 1 < nivals - 1)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2155 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2156 j = 2 * i + 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2157 if (j + 1 < nivals - 1
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2158 && ivals[heap[j + 1]].err >= ivals[heap[j]].err)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2159 j++;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2160 if (ivals[heap[j]].err <= ivals[heap[i]].err)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2161 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2162 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2163 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2164 t = heap[j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2165 heap[j] = heap[i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2166 heap[i] = t;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2167 i = j;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2168 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2169 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2170
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2171 /* Now grab the last interval and sift it up the heap. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2172 i = nivals - 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2173 while (i > 0)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2174 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2175 j = (i - 1) / 2;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2176 if (ivals[heap[j]].err < ivals[heap[i]].err)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2177 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2178 t = heap[j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2179 heap[j] = heap[i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2180 heap[i] = t;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2181 i = j;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2182 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2183 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2184 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2185 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2186
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2187
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2188 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2189
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2190 /* Otherwise, just fix-up the heap. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2191 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2192 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2193 i = 0;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2194 while (2 * i + 1 < nivals)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2195 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2196 j = 2 * i + 1;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2197 if (j + 1 < nivals
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2198 && ivals[heap[j + 1]].err >= ivals[heap[j]].err)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2199 j++;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2200 if (ivals[heap[j]].err <= ivals[heap[i]].err)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2201 break;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2202 else
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2203 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2204 t = heap[j];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2205 heap[j] = heap[i];
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2206 heap[i] = t;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2207 i = j;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2208 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2209 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2210
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2211 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2212
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2213 /* If the heap is about to overflow, remove the last two intervals. */
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2214 while (nivals > cquad_heapsize - 2)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2215 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2216 iv = &(ivals[heap[nivals - 1]]);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2217 #if (DEBUG_QUADCC)
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2218 printf ("quadcc: dropping ival %i (of %i) with [%e,%e] int=%e, err=%e, depth=%i\n",
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2219 heap[0], nivals, iv->a, iv->b, iv->igral, iv->err, iv->depth);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2220 #endif
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2221 err_final += iv->err;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2222 igral_final += iv->igral;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2223 nivals--;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2224 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2225
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2226 /* Collect the value of the integral and error. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2227 igral = igral_final;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2228 err = err_final;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2229 for (i = 0; i < nivals; i++)
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2230 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2231 igral += ivals[heap[i]].igral;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2232 err += ivals[heap[i]].err;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2233 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2234
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2235 }
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2236
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2237 /* Dump the contents of the heap. */
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2238 #if (DEBUG_QUADCC)
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2239 for (i = 0; i < nivals; i++)
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2240 {
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2241 iv = &(ivals[heap[i]]);
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2242 printf ("quadcc: ival %i (%i) with [%e,%e], int=%e, err=%e, depth=%i, rdepth=%i, ndiv=%i\n",
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2243 i, heap[i], iv->a, iv->b, iv->igral, iv->err, iv->depth,
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2244 iv->rdepth, iv->ndiv);
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2245 }
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2246 #endif
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2247
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2248 /* Clean up and present the results. */
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2249 if (nargout > 2)
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2250 retval(2) = neval;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2251 if (nargout > 1)
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2252 retval(1) = err;
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2253 retval(0) = igral;
10944
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2254 /* All is well that ends well. */
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2255 return retval;
a7655cdba470 add the cquad integrator, by Pedro Gonnet
Jaroslav Hajek <highegg@gmail.com>
parents:
diff changeset
2256 }
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2257
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2258
13141
e81ddf9cacd5 maint: untabify and remove trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 12653
diff changeset
2259 /*
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2260 %!assert (quadcc (@sin, -pi, pi), 0, 1e-6)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2261 %!assert (quadcc (inline ("sin"),- pi, pi), 0, 1e-6)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2262 %!assert (quadcc ("sin", -pi, pi), 0, 1e-6)
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2263
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2264 %!assert (quadcc (@sin, -pi, 0), -2, 1e-6)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2265 %!assert (quadcc (@sin, 0, pi), 2, 1e-6)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2266 %!assert (quadcc (@(x) 1./sqrt (x), 0, 1), 2, 1e-6)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2267 %!assert (quadcc (@(x) 1./(sqrt (x).*(x+1)), 0, Inf), pi, 1e-6)
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2268
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2269 %!assert (quadcc (@(x) exp (-x .^ 2), -Inf, Inf), sqrt (pi), 1e-6)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2270 %!assert (quadcc (@(x) exp (-x .^ 2), -Inf, 0), sqrt (pi)/2, 1e-6)
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4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2271
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2272 ## Test function with NaNs in interval
15437
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2273 %!function y = __nansin (x)
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2274 %! nan_locs = [-3*pi/4, -pi/4, 0, pi/3, pi/2, pi];
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2275 %! y = sin (x);
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2276 %! idx = min (abs (bsxfun (@minus, x(:), nan_locs)), [], 2);
15437
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2277 %! y(idx < 1e-10) = NaN;
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2278 %!endfunction
15437
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2279
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2280 %!test
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17744
diff changeset
2281 %! [q, err, npoints] = quadcc ("__nansin", -pi, pi);
15995
906ae1705522 quadcc.cc: Use heap instead of stack for large temporary variables.
Rik <rik@octave.org>
parents: 15994
diff changeset
2282 %! assert (q, 0, 1e-6);
15437
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2283 %! assert (err, 0, 15*eps);
c9954a15bc03 Fix quadcc when there are NaNs in the integrand (bug #37414)
Rik <rik@octave.org>
parents: 14151
diff changeset
2284
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2285 %% Test input validation
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2286 %!error (quadcc ())
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2287 %!error (quadcc (@sin))
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2288 %!error (quadcc (@sin, 0))
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2289 %!error (quadcc (@sin, ones (2), pi))
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2290 %!error (quadcc (@sin, -i, pi))
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14360
diff changeset
2291 %!error (quadcc (@sin, 0, ones (2)))
12614
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2292 %!error (quadcc (@sin, 0, i))
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2293 %!error (quadcc (@sin, 0, pi, 0))
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2294 %!error (quadcc (@sin, 0, pi, 1e-6, [ i ]))
4e11a87d86e6 quadcc.cc: Recode input validation and add tests.
Rik <octave@nomad.inbox5.com>
parents: 12612
diff changeset
2295 */