Mercurial > octave-nkf
annotate liboctave/cruft/odepack/stode.f @ 19627:446c46af4b42 stable
strip trailing whitespace from most source files
* Makefile.am, NEWS, build-aux/common.mk, configure.ac,
doc/Makefile.am, doc/doxyhtml/Makefile.am,
doc/interpreter/Makefile.am, doc/interpreter/arith.txi,
doc/interpreter/audio.txi, doc/interpreter/basics.txi,
doc/interpreter/bugs.txi, doc/interpreter/container.txi,
doc/interpreter/cp-idx.txi, doc/interpreter/data.txi,
doc/interpreter/debug.txi, doc/interpreter/diagperm.txi,
doc/interpreter/diffeq.txi, doc/interpreter/doccheck/README,
doc/interpreter/doccheck/spellcheck, doc/interpreter/emacs.txi,
doc/interpreter/errors.txi, doc/interpreter/eval.txi,
doc/interpreter/expr.txi, doc/interpreter/external.txi,
doc/interpreter/fn-idx.txi, doc/interpreter/func.txi,
doc/interpreter/geometry.txi, doc/interpreter/geometryimages.m,
doc/interpreter/gpl.txi, doc/interpreter/grammar.txi,
doc/interpreter/gui.txi, doc/interpreter/image.txi,
doc/interpreter/install.txi, doc/interpreter/interp.txi,
doc/interpreter/interpimages.m, doc/interpreter/intro.txi,
doc/interpreter/io.txi, doc/interpreter/java.txi,
doc/interpreter/linalg.txi, doc/interpreter/macros.texi,
doc/interpreter/matrix.txi, doc/interpreter/munge-texi.pl,
doc/interpreter/nonlin.txi, doc/interpreter/numbers.txi,
doc/interpreter/obsolete.txi, doc/interpreter/octave-config.1,
doc/interpreter/octave.texi, doc/interpreter/oop.txi,
doc/interpreter/op-idx.txi, doc/interpreter/optim.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/poly.txi, doc/interpreter/preface.txi,
doc/interpreter/quad.txi, doc/interpreter/set.txi,
doc/interpreter/signal.txi, doc/interpreter/sparse.txi,
doc/interpreter/sparseimages.m, doc/interpreter/splineimages.m,
doc/interpreter/stats.txi, doc/interpreter/stmt.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/testfun.txi, doc/interpreter/tips.txi,
doc/interpreter/var.txi, doc/interpreter/vectorize.txi,
doc/liboctave/Makefile.am, doc/liboctave/array.texi,
doc/liboctave/bugs.texi, doc/liboctave/cp-idx.texi,
doc/liboctave/dae.texi, doc/liboctave/diffeq.texi,
doc/liboctave/error.texi, doc/liboctave/factor.texi,
doc/liboctave/fn-idx.texi, doc/liboctave/gpl.texi,
doc/liboctave/install.texi, doc/liboctave/intro.texi,
doc/liboctave/liboctave.texi, doc/liboctave/matvec.texi,
doc/liboctave/nleqn.texi, doc/liboctave/nlfunc.texi,
doc/liboctave/ode.texi, doc/liboctave/optim.texi,
doc/liboctave/preface.texi, doc/liboctave/quad.texi,
doc/liboctave/range.texi, doc/refcard/Makefile.am,
doc/refcard/refcard.tex, etc/HACKING, etc/NEWS.1, etc/NEWS.2,
etc/NEWS.3, etc/OLD-ChangeLogs/ChangeLog,
etc/OLD-ChangeLogs/doc-ChangeLog,
etc/OLD-ChangeLogs/scripts-ChangeLog,
etc/OLD-ChangeLogs/src-ChangeLog, etc/OLD-ChangeLogs/test-ChangeLog,
etc/PROJECTS, etc/README.Cygwin, etc/README.MacOS, etc/README.MinGW,
etc/README.gnuplot, etc/gdbinit, etc/icons/Makefile.am,
examples/@polynomial/end.m, examples/@polynomial/subsasgn.m,
examples/Makefile.am, examples/standalonebuiltin.cc,
libgui/Makefile.am, libgui/qterminal/libqterminal/README,
libgui/qterminal/libqterminal/unix/BlockArray.cpp,
libgui/qterminal/libqterminal/unix/BlockArray.h,
libgui/qterminal/libqterminal/unix/Character.h,
libgui/qterminal/libqterminal/unix/CharacterColor.h,
libgui/qterminal/libqterminal/unix/Emulation.cpp,
libgui/qterminal/libqterminal/unix/Emulation.h,
libgui/qterminal/libqterminal/unix/Filter.cpp,
libgui/qterminal/libqterminal/unix/Filter.h,
libgui/qterminal/libqterminal/unix/History.cpp,
libgui/qterminal/libqterminal/unix/History.h,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.cpp,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.h,
libgui/qterminal/libqterminal/unix/LineFont.h,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.cpp,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.h,
libgui/qterminal/libqterminal/unix/Screen.cpp,
libgui/qterminal/libqterminal/unix/Screen.h,
libgui/qterminal/libqterminal/unix/ScreenWindow.cpp,
libgui/qterminal/libqterminal/unix/ScreenWindow.h,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.cpp,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.h,
libgui/qterminal/libqterminal/unix/Vt102Emulation.h,
libgui/qterminal/libqterminal/win32/QWinTerminalImpl.cpp,
libgui/qterminal/qterminal/main.cpp,
libgui/src/m-editor/file-editor-tab.cc, libgui/src/octave-gui.cc,
libgui/src/octave-qt-link.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/defun-int.h, libinterp/corefcn/det.cc,
libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/graphics.cc,
libinterp/corefcn/graphics.in.h, libinterp/corefcn/ls-mat5.cc,
libinterp/corefcn/lu.cc, libinterp/corefcn/oct-tex-parser.yy,
libinterp/corefcn/oct-tex-symbols.in, libinterp/corefcn/quadcc.cc,
libinterp/corefcn/zfstream.cc, libinterp/dldfcn/__eigs__.cc,
libinterp/dldfcn/__voronoi__.cc, libinterp/gendoc.pl,
libinterp/genprops.awk, libinterp/mk-errno-list, libinterp/mk-pkg-add,
libinterp/mkbuiltins, libinterp/mkdefs, libinterp/mkdocs,
libinterp/mkops, libinterp/octave-value/ov-java.cc,
libinterp/parse-tree/lex.ll, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/octave.gperf, liboctave/Makefile.am,
liboctave/array/Array.cc, liboctave/array/module.mk,
liboctave/cruft/daspk/datv.f, liboctave/cruft/daspk/dcnst0.f,
liboctave/cruft/daspk/dcnstr.f, liboctave/cruft/daspk/ddasic.f,
liboctave/cruft/daspk/ddasid.f, liboctave/cruft/daspk/ddasik.f,
liboctave/cruft/daspk/ddaspk.f, liboctave/cruft/daspk/ddstp.f,
liboctave/cruft/daspk/ddwnrm.f, liboctave/cruft/daspk/dfnrmd.f,
liboctave/cruft/daspk/dfnrmk.f, liboctave/cruft/daspk/dhels.f,
liboctave/cruft/daspk/dheqr.f, liboctave/cruft/daspk/dinvwt.f,
liboctave/cruft/daspk/dlinsd.f, liboctave/cruft/daspk/dlinsk.f,
liboctave/cruft/daspk/dmatd.f, liboctave/cruft/daspk/dnedd.f,
liboctave/cruft/daspk/dnedk.f, liboctave/cruft/daspk/dnsd.f,
liboctave/cruft/daspk/dnsid.f, liboctave/cruft/daspk/dnsik.f,
liboctave/cruft/daspk/dnsk.f, liboctave/cruft/daspk/dorth.f,
liboctave/cruft/daspk/dslvd.f, liboctave/cruft/daspk/dslvk.f,
liboctave/cruft/daspk/dspigm.f, liboctave/cruft/daspk/dyypnw.f,
liboctave/cruft/dasrt/ddasrt.f, liboctave/cruft/dasrt/drchek.f,
liboctave/cruft/dassl/ddaslv.f, liboctave/cruft/dassl/ddassl.f,
liboctave/cruft/misc/blaswrap.c, liboctave/cruft/misc/module.mk,
liboctave/cruft/odepack/cfode.f, liboctave/cruft/odepack/dlsode.f,
liboctave/cruft/odepack/ewset.f, liboctave/cruft/odepack/intdy.f,
liboctave/cruft/odepack/prepj.f, liboctave/cruft/odepack/sintdy.f,
liboctave/cruft/odepack/slsode.f, liboctave/cruft/odepack/solsy.f,
liboctave/cruft/odepack/ssolsy.f, liboctave/cruft/odepack/stode.f,
liboctave/cruft/odepack/vnorm.f, liboctave/cruft/ranlib/Basegen.doc,
liboctave/cruft/ranlib/README, liboctave/cruft/ranlib/genbet.f,
liboctave/cruft/ranlib/genexp.f, liboctave/cruft/ranlib/gennch.f,
liboctave/cruft/ranlib/gennf.f, liboctave/cruft/ranlib/gennor.f,
liboctave/cruft/ranlib/getsd.f, liboctave/cruft/ranlib/initgn.f,
liboctave/cruft/ranlib/phrtsd.f, liboctave/cruft/ranlib/randlib.fdoc,
liboctave/cruft/ranlib/setsd.f, liboctave/cruft/ranlib/tstgmn.for,
liboctave/cruft/ranlib/tstmid.for, liboctave/cruft/slatec-fn/atanh.f,
liboctave/cruft/slatec-fn/datanh.f,
liboctave/cruft/slatec-fn/xgmainc.f,
liboctave/cruft/slatec-fn/xsgmainc.f, liboctave/numeric/module.mk,
liboctave/operators/mk-ops.awk, liboctave/operators/mx-ops,
liboctave/operators/sparse-mk-ops.awk,
liboctave/operators/sparse-mx-ops, liboctave/operators/vx-ops,
liboctave/util/module.mk, run-octave.in, scripts/@ftp/ftp.m,
scripts/audio/wavread.m, scripts/deprecated/java_convert_matrix.m,
scripts/deprecated/java_debug.m, scripts/deprecated/java_invoke.m,
scripts/deprecated/java_new.m,
scripts/deprecated/java_unsigned_conversion.m,
scripts/deprecated/javafields.m, scripts/deprecated/javamethods.m,
scripts/deprecated/shell_cmd.m, scripts/general/accumarray.m,
scripts/general/display.m, scripts/general/fieldnames.m,
scripts/general/interp1.m, scripts/general/interp2.m,
scripts/general/interp3.m, scripts/general/isa.m,
scripts/general/methods.m, scripts/general/sortrows.m,
scripts/geometry/convhull.m, scripts/geometry/delaunay.m,
scripts/geometry/delaunay3.m, scripts/geometry/delaunayn.m,
scripts/geometry/griddata.m, scripts/geometry/griddatan.m,
scripts/geometry/voronoi.m, scripts/geometry/voronoin.m,
scripts/gui/guihandles.m, scripts/gui/inputdlg.m,
scripts/gui/listdlg.m, scripts/gui/msgbox.m, scripts/gui/questdlg.m,
scripts/gui/uigetfile.m, scripts/gui/waitbar.m, scripts/gui/warndlg.m,
scripts/help/doc.m, scripts/help/help.m, scripts/help/type.m,
scripts/image/bone.m, scripts/image/cmpermute.m,
scripts/image/cmunique.m, scripts/image/colorcube.m,
scripts/image/colormap.m, scripts/image/contrast.m,
scripts/image/gray2ind.m, scripts/image/image.m,
scripts/image/imshow.m, scripts/image/ind2gray.m, scripts/image/jet.m,
scripts/image/rgb2ntsc.m, scripts/image/spinmap.m,
scripts/io/importdata.m, scripts/io/strread.m, scripts/io/textread.m,
scripts/io/textscan.m, scripts/java/java_get.m,
scripts/java/java_set.m, scripts/java/javaaddpath.m,
scripts/java/javaclasspath.m, scripts/java/javamem.m,
scripts/linear-algebra/linsolve.m, scripts/linear-algebra/qzhess.m,
scripts/miscellaneous/debug.m, scripts/miscellaneous/desktop.m,
scripts/miscellaneous/dir.m, scripts/miscellaneous/dos.m,
scripts/miscellaneous/edit.m, scripts/miscellaneous/fact.m,
scripts/miscellaneous/getappdata.m, scripts/miscellaneous/inputname.m,
scripts/miscellaneous/license.m, scripts/miscellaneous/ls_command.m,
scripts/miscellaneous/run.m, scripts/miscellaneous/setfield.m,
scripts/miscellaneous/unix.m, scripts/miscellaneous/ver.m,
scripts/mk-pkg-add, scripts/mkdoc.pl,
scripts/optimization/fminsearch.m, scripts/optimization/optimset.m,
scripts/optimization/sqp.m, scripts/pkg/pkg.m,
scripts/pkg/private/create_pkgadddel.m,
scripts/pkg/private/fix_depends.m, scripts/pkg/private/install.m,
scripts/plot/appearance/axis.m, scripts/plot/appearance/box.m,
scripts/plot/appearance/clabel.m, scripts/plot/appearance/daspect.m,
scripts/plot/appearance/datetick.m, scripts/plot/appearance/grid.m,
scripts/plot/appearance/legend.m, scripts/plot/appearance/orient.m,
scripts/plot/appearance/shading.m, scripts/plot/appearance/text.m,
scripts/plot/appearance/title.m, scripts/plot/appearance/xlabel.m,
scripts/plot/appearance/ylabel.m, scripts/plot/appearance/zlabel.m,
scripts/plot/draw/area.m, scripts/plot/draw/bar.m,
scripts/plot/draw/barh.m, scripts/plot/draw/colorbar.m,
scripts/plot/draw/contour.m, scripts/plot/draw/contour3.m,
scripts/plot/draw/contourf.m, scripts/plot/draw/ellipsoid.m,
scripts/plot/draw/errorbar.m, scripts/plot/draw/ezcontour.m,
scripts/plot/draw/ezcontourf.m, scripts/plot/draw/ezmesh.m,
scripts/plot/draw/ezpolar.m, scripts/plot/draw/fill.m,
scripts/plot/draw/fplot.m, scripts/plot/draw/hist.m,
scripts/plot/draw/meshc.m, scripts/plot/draw/meshz.m,
scripts/plot/draw/pareto.m, scripts/plot/draw/patch.m,
scripts/plot/draw/peaks.m, scripts/plot/draw/pie.m,
scripts/plot/draw/pie3.m, scripts/plot/draw/plot.m,
scripts/plot/draw/plotyy.m, scripts/plot/draw/private/__bar__.m,
scripts/plot/draw/private/__contour__.m,
scripts/plot/draw/private/__errplot__.m,
scripts/plot/draw/private/__ezplot__.m,
scripts/plot/draw/private/__patch__.m,
scripts/plot/draw/private/__stem__.m, scripts/plot/draw/rectangle.m,
scripts/plot/draw/ribbon.m, scripts/plot/draw/rose.m,
scripts/plot/draw/scatter.m, scripts/plot/draw/scatter3.m,
scripts/plot/draw/semilogx.m, scripts/plot/draw/shrinkfaces.m,
scripts/plot/draw/sombrero.m, scripts/plot/draw/sphere.m,
scripts/plot/draw/stairs.m, scripts/plot/draw/stem.m,
scripts/plot/draw/stemleaf.m, scripts/plot/draw/surf.m,
scripts/plot/draw/surface.m, scripts/plot/draw/surfc.m,
scripts/plot/draw/surfl.m, scripts/plot/draw/surfnorm.m,
scripts/plot/draw/tetramesh.m, scripts/plot/draw/trimesh.m,
scripts/plot/draw/triplot.m, scripts/plot/draw/trisurf.m,
scripts/plot/util/__gnuplot_drawnow__.m,
scripts/plot/util/__plt_get_axis_arg__.m, scripts/plot/util/axes.m,
scripts/plot/util/clf.m, scripts/plot/util/copyobj.m,
scripts/plot/util/figure.m, scripts/plot/util/gcbo.m,
scripts/plot/util/graphics_toolkit.m, scripts/plot/util/hggroup.m,
scripts/plot/util/meshgrid.m, scripts/plot/util/newplot.m,
scripts/plot/util/print.m,
scripts/plot/util/private/__add_default_menu__.m,
scripts/plot/util/private/__fltk_print__.m,
scripts/plot/util/private/__gnuplot_print__.m,
scripts/plot/util/private/__print_parse_opts__.m,
scripts/plot/util/refreshdata.m, scripts/plot/util/subplot.m,
scripts/polynomial/conv.m, scripts/polynomial/poly.m,
scripts/polynomial/polyeig.m, scripts/polynomial/polyfit.m,
scripts/polynomial/polyval.m,
scripts/polynomial/private/__splinefit__.m,
scripts/polynomial/spline.m, scripts/prefs/prefdir.m,
scripts/prefs/preferences.m, scripts/prefs/private/prefsfile.m,
scripts/prefs/rmpref.m, scripts/signal/freqz.m,
scripts/signal/module.mk, scripts/sparse/eigs.m, scripts/sparse/pcg.m,
scripts/sparse/private/__sprand_impl__.m, scripts/sparse/sprand.m,
scripts/sparse/sprandn.m, scripts/sparse/spy.m, scripts/sparse/svds.m,
scripts/specfun/expint.m, scripts/specfun/factor.m,
scripts/special-matrix/gallery.m, scripts/special-matrix/hankel.m,
scripts/special-matrix/toeplitz.m, scripts/startup/inputrc,
scripts/statistics/base/kurtosis.m, scripts/statistics/base/moment.m,
scripts/statistics/base/qqplot.m, scripts/statistics/base/var.m,
scripts/statistics/distributions/betarnd.m,
scripts/statistics/distributions/binoinv.m,
scripts/statistics/distributions/binopdf.m,
scripts/statistics/distributions/binornd.m,
scripts/statistics/distributions/cauchy_rnd.m,
scripts/statistics/distributions/chi2rnd.m,
scripts/statistics/distributions/discrete_pdf.m,
scripts/statistics/distributions/discrete_rnd.m,
scripts/statistics/distributions/empirical_rnd.m,
scripts/statistics/distributions/exprnd.m,
scripts/statistics/distributions/frnd.m,
scripts/statistics/distributions/gamrnd.m,
scripts/statistics/distributions/geornd.m,
scripts/statistics/distributions/hygernd.m,
scripts/statistics/distributions/kolmogorov_smirnov_cdf.m,
scripts/statistics/distributions/laplace_cdf.m,
scripts/statistics/distributions/laplace_pdf.m,
scripts/statistics/distributions/logistic_cdf.m,
scripts/statistics/distributions/logistic_pdf.m,
scripts/statistics/distributions/lognrnd.m,
scripts/statistics/distributions/nbincdf.m,
scripts/statistics/distributions/nbininv.m,
scripts/statistics/distributions/nbinpdf.m,
scripts/statistics/distributions/nbinrnd.m,
scripts/statistics/distributions/normrnd.m,
scripts/statistics/distributions/poissinv.m,
scripts/statistics/distributions/poissrnd.m,
scripts/statistics/distributions/tinv.m,
scripts/statistics/distributions/trnd.m,
scripts/statistics/distributions/unidcdf.m,
scripts/statistics/distributions/unidpdf.m,
scripts/statistics/distributions/unidrnd.m,
scripts/statistics/distributions/unifrnd.m,
scripts/statistics/distributions/wblrnd.m,
scripts/statistics/models/module.mk,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/strings/base2dec.m, scripts/strings/deblank.m,
scripts/strings/dec2base.m, scripts/strings/dec2bin.m,
scripts/strings/dec2hex.m, scripts/strings/mat2str.m,
scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m,
scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjoin.m, scripts/strings/strsplit.m,
scripts/strings/strtok.m, scripts/strings/strtrim.m,
scripts/strings/strtrunc.m, scripts/strings/substr.m,
scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m,
scripts/testfun/test.m, scripts/time/asctime.m,
scripts/time/datenum.m, scripts/time/datevec.m,
scripts/time/weekday.m, src/Makefile.am, test/Makefile.am,
test/build-bc-overload-tests.sh, test/build-sparse-tests.sh,
test/jit.tst, test/line-continue.tst: Strip trailing whitespace.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Tue, 20 Jan 2015 08:26:57 -0500 |
| parents | 648dabbb4c6b |
| children |
| rev | line source |
|---|---|
| 1644 | 1 SUBROUTINE STODE (NEQ, Y, YH, NYH, YH1, EWT, SAVF, ACOR, |
| 2 1 WM, IWM, F, JAC, PJAC, SLVS, IERR) | |
| 3 CLLL. OPTIMIZE | |
| 4 EXTERNAL F, JAC, PJAC, SLVS | |
| 5 INTEGER NEQ, NYH, IWM | |
| 6 INTEGER IOWND, IALTH, IPUP, LMAX, MEO, NQNYH, NSLP, | |
| 7 1 ICF, IERPJ, IERSL, JCUR, JSTART, KFLAG, L, METH, MITER, | |
| 8 2 MAXORD, MAXCOR, MSBP, MXNCF, N, NQ, NST, NFE, NJE, NQU | |
| 9 INTEGER I, I1, IREDO, IRET, J, JB, M, NCF, NEWQ | |
| 10 DOUBLE PRECISION Y, YH, YH1, EWT, SAVF, ACOR, WM | |
| 11 DOUBLE PRECISION CONIT, CRATE, EL, ELCO, HOLD, RMAX, TESCO, | |
| 12 2 CCMAX, EL0, H, HMIN, HMXI, HU, RC, TN, UROUND | |
| 13 DOUBLE PRECISION DCON, DDN, DEL, DELP, DSM, DUP, EXDN, EXSM, EXUP, | |
| 14 1 R, RH, RHDN, RHSM, RHUP, TOLD, VNORM | |
| 1645 | 15 DIMENSION NEQ(*), Y(*), YH(NYH,*), YH1(*), EWT(*), SAVF(*), |
| 16 1 ACOR(*), WM(*), IWM(*) | |
| 1644 | 17 COMMON /LS0001/ CONIT, CRATE, EL(13), ELCO(13,12), |
| 18 1 HOLD, RMAX, TESCO(3,12), | |
| 19 2 CCMAX, EL0, H, HMIN, HMXI, HU, RC, TN, UROUND, IOWND(14), | |
| 20 3 IALTH, IPUP, LMAX, MEO, NQNYH, NSLP, | |
| 21 4 ICF, IERPJ, IERSL, JCUR, JSTART, KFLAG, L, METH, MITER, | |
| 22 5 MAXORD, MAXCOR, MSBP, MXNCF, N, NQ, NST, NFE, NJE, NQU | |
| 23 C----------------------------------------------------------------------- | |
| 24 C STODE PERFORMS ONE STEP OF THE INTEGRATION OF AN INITIAL VALUE | |
| 25 C PROBLEM FOR A SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS. | |
| 26 C NOTE.. STODE IS INDEPENDENT OF THE VALUE OF THE ITERATION METHOD | |
| 27 C INDICATOR MITER, WHEN THIS IS .NE. 0, AND HENCE IS INDEPENDENT | |
| 28 C OF THE TYPE OF CHORD METHOD USED, OR THE JACOBIAN STRUCTURE. | |
| 29 C COMMUNICATION WITH STODE IS DONE WITH THE FOLLOWING VARIABLES.. | |
| 30 C | |
| 31 C NEQ = INTEGER ARRAY CONTAINING PROBLEM SIZE IN NEQ(1), AND | |
| 32 C PASSED AS THE NEQ ARGUMENT IN ALL CALLS TO F AND JAC. | |
| 33 C Y = AN ARRAY OF LENGTH .GE. N USED AS THE Y ARGUMENT IN | |
| 34 C ALL CALLS TO F AND JAC. | |
| 35 C YH = AN NYH BY LMAX ARRAY CONTAINING THE DEPENDENT VARIABLES | |
| 36 C AND THEIR APPROXIMATE SCALED DERIVATIVES, WHERE | |
| 37 C LMAX = MAXORD + 1. YH(I,J+1) CONTAINS THE APPROXIMATE | |
| 38 C J-TH DERIVATIVE OF Y(I), SCALED BY H**J/FACTORIAL(J) | |
| 39 C (J = 0,1,...,NQ). ON ENTRY FOR THE FIRST STEP, THE FIRST | |
| 40 C TWO COLUMNS OF YH MUST BE SET FROM THE INITIAL VALUES. | |
| 41 C NYH = A CONSTANT INTEGER .GE. N, THE FIRST DIMENSION OF YH. | |
| 42 C YH1 = A ONE-DIMENSIONAL ARRAY OCCUPYING THE SAME SPACE AS YH. | |
| 43 C EWT = AN ARRAY OF LENGTH N CONTAINING MULTIPLICATIVE WEIGHTS | |
| 44 C FOR LOCAL ERROR MEASUREMENTS. LOCAL ERRORS IN Y(I) ARE | |
| 45 C COMPARED TO 1.0/EWT(I) IN VARIOUS ERROR TESTS. | |
| 46 C SAVF = AN ARRAY OF WORKING STORAGE, OF LENGTH N. | |
| 47 C ALSO USED FOR INPUT OF YH(*,MAXORD+2) WHEN JSTART = -1 | |
| 48 C AND MAXORD .LT. THE CURRENT ORDER NQ. | |
| 49 C ACOR = A WORK ARRAY OF LENGTH N, USED FOR THE ACCUMULATED | |
| 50 C CORRECTIONS. ON A SUCCESSFUL RETURN, ACOR(I) CONTAINS | |
| 51 C THE ESTIMATED ONE-STEP LOCAL ERROR IN Y(I). | |
| 52 C WM,IWM = REAL AND INTEGER WORK ARRAYS ASSOCIATED WITH MATRIX | |
| 53 C OPERATIONS IN CHORD ITERATION (MITER .NE. 0). | |
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54 C PJAC = NAME OF ROUTINE TO EVALUATE AND PREPROCESS JACOBIAN MATRIX |
| 1644 | 55 C AND P = I - H*EL0*JAC, IF A CHORD METHOD IS BEING USED. |
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56 C SLVS = NAME OF ROUTINE TO SOLVE LINEAR SYSTEM IN CHORD ITERATION. |
| 1644 | 57 C CCMAX = MAXIMUM RELATIVE CHANGE IN H*EL0 BEFORE PJAC IS CALLED. |
| 58 C H = THE STEP SIZE TO BE ATTEMPTED ON THE NEXT STEP. | |
| 59 C H IS ALTERED BY THE ERROR CONTROL ALGORITHM DURING THE | |
| 60 C PROBLEM. H CAN BE EITHER POSITIVE OR NEGATIVE, BUT ITS | |
| 61 C SIGN MUST REMAIN CONSTANT THROUGHOUT THE PROBLEM. | |
| 62 C HMIN = THE MINIMUM ABSOLUTE VALUE OF THE STEP SIZE H TO BE USED. | |
| 63 C HMXI = INVERSE OF THE MAXIMUM ABSOLUTE VALUE OF H TO BE USED. | |
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64 C HMXI = 0.0 IS ALLOWED AND CORRESPONDS TO AN INFINITE HMAX. |
| 1644 | 65 C HMIN AND HMXI MAY BE CHANGED AT ANY TIME, BUT WILL NOT |
| 66 C TAKE EFFECT UNTIL THE NEXT CHANGE OF H IS CONSIDERED. | |
| 67 C TN = THE INDEPENDENT VARIABLE. TN IS UPDATED ON EACH STEP TAKEN. | |
| 68 C JSTART = AN INTEGER USED FOR INPUT ONLY, WITH THE FOLLOWING | |
| 69 C VALUES AND MEANINGS.. | |
| 70 C 0 PERFORM THE FIRST STEP. | |
| 71 C .GT.0 TAKE A NEW STEP CONTINUING FROM THE LAST. | |
| 72 C -1 TAKE THE NEXT STEP WITH A NEW VALUE OF H, MAXORD, | |
| 73 C N, METH, MITER, AND/OR MATRIX PARAMETERS. | |
| 74 C -2 TAKE THE NEXT STEP WITH A NEW VALUE OF H, | |
| 75 C BUT WITH OTHER INPUTS UNCHANGED. | |
| 76 C ON RETURN, JSTART IS SET TO 1 TO FACILITATE CONTINUATION. | |
| 77 C KFLAG = A COMPLETION CODE WITH THE FOLLOWING MEANINGS.. | |
| 78 C 0 THE STEP WAS SUCCESFUL. | |
| 79 C -1 THE REQUESTED ERROR COULD NOT BE ACHIEVED. | |
| 80 C -2 CORRECTOR CONVERGENCE COULD NOT BE ACHIEVED. | |
| 81 C -3 FATAL ERROR IN PJAC OR SLVS. | |
| 82 C A RETURN WITH KFLAG = -1 OR -2 MEANS EITHER | |
| 83 C ABS(H) = HMIN OR 10 CONSECUTIVE FAILURES OCCURRED. | |
| 84 C ON A RETURN WITH KFLAG NEGATIVE, THE VALUES OF TN AND | |
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85 C THE YH ARRAY ARE AS OF THE BEGINNING OF THE LAST |
| 1644 | 86 C STEP, AND H IS THE LAST STEP SIZE ATTEMPTED. |
| 87 C MAXORD = THE MAXIMUM ORDER OF INTEGRATION METHOD TO BE ALLOWED. | |
| 88 C MAXCOR = THE MAXIMUM NUMBER OF CORRECTOR ITERATIONS ALLOWED. | |
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89 C MSBP = MAXIMUM NUMBER OF STEPS BETWEEN PJAC CALLS (MITER .GT. 0). |
| 1644 | 90 C MXNCF = MAXIMUM NUMBER OF CONVERGENCE FAILURES ALLOWED. |
| 91 C METH/MITER = THE METHOD FLAGS. SEE DESCRIPTION IN DRIVER. | |
| 92 C N = THE NUMBER OF FIRST-ORDER DIFFERENTIAL EQUATIONS. | |
| 93 C IERR = ERROR FLAG FROM USER-SUPPLIED FUNCTION | |
| 94 C----------------------------------------------------------------------- | |
| 95 KFLAG = 0 | |
| 96 TOLD = TN | |
| 97 NCF = 0 | |
| 98 IERPJ = 0 | |
| 99 IERSL = 0 | |
| 100 JCUR = 0 | |
| 101 ICF = 0 | |
| 102 DELP = 0.0D0 | |
| 103 IF (JSTART .GT. 0) GO TO 200 | |
| 104 IF (JSTART .EQ. -1) GO TO 100 | |
| 105 IF (JSTART .EQ. -2) GO TO 160 | |
| 106 C----------------------------------------------------------------------- | |
| 107 C ON THE FIRST CALL, THE ORDER IS SET TO 1, AND OTHER VARIABLES ARE | |
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108 C INITIALIZED. RMAX IS THE MAXIMUM RATIO BY WHICH H CAN BE INCREASED |
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109 C IN A SINGLE STEP. IT IS INITIALLY 1.E4 TO COMPENSATE FOR THE SMALL |
| 1644 | 110 C INITIAL H, BUT THEN IS NORMALLY EQUAL TO 10. IF A FAILURE |
| 111 C OCCURS (IN CORRECTOR CONVERGENCE OR ERROR TEST), RMAX IS SET AT 2 | |
| 112 C FOR THE NEXT INCREASE. | |
| 113 C----------------------------------------------------------------------- | |
| 114 LMAX = MAXORD + 1 | |
| 115 NQ = 1 | |
| 116 L = 2 | |
| 117 IALTH = 2 | |
| 118 RMAX = 10000.0D0 | |
| 119 RC = 0.0D0 | |
| 120 EL0 = 1.0D0 | |
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121 CRATE = 0.7D0 |
| 1644 | 122 HOLD = H |
| 123 MEO = METH | |
| 124 NSLP = 0 | |
| 125 IPUP = MITER | |
| 126 IRET = 3 | |
| 127 GO TO 140 | |
| 128 C----------------------------------------------------------------------- | |
| 129 C THE FOLLOWING BLOCK HANDLES PRELIMINARIES NEEDED WHEN JSTART = -1. | |
| 130 C IPUP IS SET TO MITER TO FORCE A MATRIX UPDATE. | |
| 131 C IF AN ORDER INCREASE IS ABOUT TO BE CONSIDERED (IALTH = 1), | |
| 132 C IALTH IS RESET TO 2 TO POSTPONE CONSIDERATION ONE MORE STEP. | |
| 133 C IF THE CALLER HAS CHANGED METH, CFODE IS CALLED TO RESET | |
| 134 C THE COEFFICIENTS OF THE METHOD. | |
| 135 C IF THE CALLER HAS CHANGED MAXORD TO A VALUE LESS THAN THE CURRENT | |
| 136 C ORDER NQ, NQ IS REDUCED TO MAXORD, AND A NEW H CHOSEN ACCORDINGLY. | |
| 137 C IF H IS TO BE CHANGED, YH MUST BE RESCALED. | |
| 138 C IF H OR METH IS BEING CHANGED, IALTH IS RESET TO L = NQ + 1 | |
| 139 C TO PREVENT FURTHER CHANGES IN H FOR THAT MANY STEPS. | |
| 140 C----------------------------------------------------------------------- | |
| 141 100 IPUP = MITER | |
| 142 LMAX = MAXORD + 1 | |
| 143 IF (IALTH .EQ. 1) IALTH = 2 | |
| 144 IF (METH .EQ. MEO) GO TO 110 | |
| 145 CALL CFODE (METH, ELCO, TESCO) | |
| 146 MEO = METH | |
| 147 IF (NQ .GT. MAXORD) GO TO 120 | |
| 148 IALTH = L | |
| 149 IRET = 1 | |
| 150 GO TO 150 | |
| 151 110 IF (NQ .LE. MAXORD) GO TO 160 | |
| 152 120 NQ = MAXORD | |
| 153 L = LMAX | |
| 154 DO 125 I = 1,L | |
| 155 125 EL(I) = ELCO(I,NQ) | |
| 156 NQNYH = NQ*NYH | |
| 157 RC = RC*EL(1)/EL0 | |
| 158 EL0 = EL(1) | |
| 159 CONIT = 0.5D0/DBLE(NQ+2) | |
| 160 DDN = VNORM (N, SAVF, EWT)/TESCO(1,L) | |
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161 EXDN = 1.0D0/DBLE(L) |
| 1644 | 162 RHDN = 1.0D0/(1.3D0*DDN**EXDN + 0.0000013D0) |
| 163 RH = DMIN1(RHDN,1.0D0) | |
| 164 IREDO = 3 | |
| 165 IF (H .EQ. HOLD) GO TO 170 | |
| 166 RH = DMIN1(RH,DABS(H/HOLD)) | |
| 167 H = HOLD | |
| 168 GO TO 175 | |
| 169 C----------------------------------------------------------------------- | |
| 170 C CFODE IS CALLED TO GET ALL THE INTEGRATION COEFFICIENTS FOR THE | |
| 171 C CURRENT METH. THEN THE EL VECTOR AND RELATED CONSTANTS ARE RESET | |
| 172 C WHENEVER THE ORDER NQ IS CHANGED, OR AT THE START OF THE PROBLEM. | |
| 173 C----------------------------------------------------------------------- | |
| 174 140 CALL CFODE (METH, ELCO, TESCO) | |
| 175 150 DO 155 I = 1,L | |
| 176 155 EL(I) = ELCO(I,NQ) | |
| 177 NQNYH = NQ*NYH | |
| 178 RC = RC*EL(1)/EL0 | |
| 179 EL0 = EL(1) | |
| 180 CONIT = 0.5D0/DBLE(NQ+2) | |
| 181 GO TO (160, 170, 200), IRET | |
| 182 C----------------------------------------------------------------------- | |
| 183 C IF H IS BEING CHANGED, THE H RATIO RH IS CHECKED AGAINST | |
| 184 C RMAX, HMIN, AND HMXI, AND THE YH ARRAY RESCALED. IALTH IS SET TO | |
| 185 C L = NQ + 1 TO PREVENT A CHANGE OF H FOR THAT MANY STEPS, UNLESS | |
| 186 C FORCED BY A CONVERGENCE OR ERROR TEST FAILURE. | |
| 187 C----------------------------------------------------------------------- | |
| 188 160 IF (H .EQ. HOLD) GO TO 200 | |
| 189 RH = H/HOLD | |
| 190 H = HOLD | |
| 191 IREDO = 3 | |
| 192 GO TO 175 | |
| 193 170 RH = DMAX1(RH,HMIN/DABS(H)) | |
| 194 175 RH = DMIN1(RH,RMAX) | |
| 195 RH = RH/DMAX1(1.0D0,DABS(H)*HMXI*RH) | |
| 196 R = 1.0D0 | |
| 197 DO 180 J = 2,L | |
| 198 R = R*RH | |
| 199 DO 180 I = 1,N | |
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200 180 YH(I,J) = YH(I,J)*R |
| 1644 | 201 H = H*RH |
| 202 RC = RC*RH | |
| 203 IALTH = L | |
| 204 IF (IREDO .EQ. 0) GO TO 690 | |
| 205 C----------------------------------------------------------------------- | |
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206 C THIS SECTION COMPUTES THE PREDICTED VALUES BY EFFECTIVELY |
| 1644 | 207 C MULTIPLYING THE YH ARRAY BY THE PASCAL TRIANGLE MATRIX. |
| 208 C RC IS THE RATIO OF NEW TO OLD VALUES OF THE COEFFICIENT H*EL(1). | |
| 209 C WHEN RC DIFFERS FROM 1 BY MORE THAN CCMAX, IPUP IS SET TO MITER | |
| 210 C TO FORCE PJAC TO BE CALLED, IF A JACOBIAN IS INVOLVED. | |
| 211 C IN ANY CASE, PJAC IS CALLED AT LEAST EVERY MSBP STEPS. | |
| 212 C----------------------------------------------------------------------- | |
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213 200 IF (DABS(RC-1.0D0) .GT. CCMAX) IPUP = MITER |
| 1644 | 214 IF (NST .GE. NSLP+MSBP) IPUP = MITER |
| 215 TN = TN + H | |
| 216 I1 = NQNYH + 1 | |
| 217 DO 215 JB = 1,NQ | |
| 218 I1 = I1 - NYH | |
| 219 CDIR$ IVDEP | |
| 220 DO 210 I = I1,NQNYH | |
| 221 210 YH1(I) = YH1(I) + YH1(I+NYH) | |
| 222 215 CONTINUE | |
| 223 C----------------------------------------------------------------------- | |
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224 C UP TO MAXCOR CORRECTOR ITERATIONS ARE TAKEN. A CONVERGENCE TEST IS |
| 1644 | 225 C MADE ON THE R.M.S. NORM OF EACH CORRECTION, WEIGHTED BY THE ERROR |
| 226 C WEIGHT VECTOR EWT. THE SUM OF THE CORRECTIONS IS ACCUMULATED IN THE | |
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227 C VECTOR ACOR(I). THE YH ARRAY IS NOT ALTERED IN THE CORRECTOR LOOP. |
| 1644 | 228 C----------------------------------------------------------------------- |
| 229 220 M = 0 | |
| 230 DO 230 I = 1,N | |
| 231 230 Y(I) = YH(I,1) | |
| 232 IERR = 0 | |
| 233 CALL F (NEQ, TN, Y, SAVF, IERR) | |
| 234 IF (IERR .LT. 0) RETURN | |
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235 NFE = NFE + 1 |
| 1644 | 236 IF (IPUP .LE. 0) GO TO 250 |
| 237 C----------------------------------------------------------------------- | |
| 238 C IF INDICATED, THE MATRIX P = I - H*EL(1)*J IS REEVALUATED AND | |
| 239 C PREPROCESSED BEFORE STARTING THE CORRECTOR ITERATION. IPUP IS SET | |
| 240 C TO 0 AS AN INDICATOR THAT THIS HAS BEEN DONE. | |
| 241 C----------------------------------------------------------------------- | |
| 242 IERR = 0 | |
| 243 CALL PJAC (NEQ, Y, YH, NYH, EWT, ACOR, SAVF, WM, IWM, F, JAC, | |
| 244 1 IERR) | |
| 245 IF (IERR .LT. 0) RETURN | |
| 246 IPUP = 0 | |
| 247 RC = 1.0D0 | |
| 248 NSLP = NST | |
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249 CRATE = 0.7D0 |
| 1644 | 250 IF (IERPJ .NE. 0) GO TO 430 |
| 251 250 DO 260 I = 1,N | |
| 252 260 ACOR(I) = 0.0D0 | |
| 253 270 IF (MITER .NE. 0) GO TO 350 | |
| 254 C----------------------------------------------------------------------- | |
| 255 C IN THE CASE OF FUNCTIONAL ITERATION, UPDATE Y DIRECTLY FROM | |
| 256 C THE RESULT OF THE LAST FUNCTION EVALUATION. | |
| 257 C----------------------------------------------------------------------- | |
| 258 DO 290 I = 1,N | |
| 259 SAVF(I) = H*SAVF(I) - YH(I,2) | |
| 260 290 Y(I) = SAVF(I) - ACOR(I) | |
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261 DEL = VNORM (N, Y, EWT) |
| 1644 | 262 DO 300 I = 1,N |
| 263 Y(I) = YH(I,1) + EL(1)*SAVF(I) | |
| 264 300 ACOR(I) = SAVF(I) | |
| 265 GO TO 400 | |
| 266 C----------------------------------------------------------------------- | |
| 267 C IN THE CASE OF THE CHORD METHOD, COMPUTE THE CORRECTOR ERROR, | |
| 268 C AND SOLVE THE LINEAR SYSTEM WITH THAT AS RIGHT-HAND SIDE AND | |
| 269 C P AS COEFFICIENT MATRIX. | |
| 270 C----------------------------------------------------------------------- | |
| 271 350 DO 360 I = 1,N | |
| 272 360 Y(I) = H*SAVF(I) - (YH(I,2) + ACOR(I)) | |
| 273 CALL SLVS (WM, IWM, Y, SAVF) | |
| 274 IF (IERSL .LT. 0) GO TO 430 | |
| 275 IF (IERSL .GT. 0) GO TO 410 | |
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276 DEL = VNORM (N, Y, EWT) |
| 1644 | 277 DO 380 I = 1,N |
| 278 ACOR(I) = ACOR(I) + Y(I) | |
| 279 380 Y(I) = YH(I,1) + EL(1)*ACOR(I) | |
| 280 C----------------------------------------------------------------------- | |
| 281 C TEST FOR CONVERGENCE. IF M.GT.0, AN ESTIMATE OF THE CONVERGENCE | |
| 282 C RATE CONSTANT IS STORED IN CRATE, AND THIS IS USED IN THE TEST. | |
| 283 C----------------------------------------------------------------------- | |
| 284 400 IF (M .NE. 0) CRATE = DMAX1(0.2D0*CRATE,DEL/DELP) | |
| 285 DCON = DEL*DMIN1(1.0D0,1.5D0*CRATE)/(TESCO(2,NQ)*CONIT) | |
| 286 IF (DCON .LE. 1.0D0) GO TO 450 | |
| 287 M = M + 1 | |
| 288 IF (M .EQ. MAXCOR) GO TO 410 | |
| 289 IF (M .GE. 2 .AND. DEL .GT. 2.0D0*DELP) GO TO 410 | |
| 290 DELP = DEL | |
| 291 IERR = 0 | |
| 292 CALL F (NEQ, TN, Y, SAVF, IERR) | |
| 293 IF (IERR .LT. 0) RETURN | |
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294 NFE = NFE + 1 |
| 1644 | 295 GO TO 270 |
| 296 C----------------------------------------------------------------------- | |
| 297 C THE CORRECTOR ITERATION FAILED TO CONVERGE. | |
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298 C IF MITER .NE. 0 AND THE JACOBIAN IS OUT OF DATE, PJAC IS CALLED FOR |
| 1644 | 299 C THE NEXT TRY. OTHERWISE THE YH ARRAY IS RETRACTED TO ITS VALUES |
| 300 C BEFORE PREDICTION, AND H IS REDUCED, IF POSSIBLE. IF H CANNOT BE | |
| 301 C REDUCED OR MXNCF FAILURES HAVE OCCURRED, EXIT WITH KFLAG = -2. | |
| 302 C----------------------------------------------------------------------- | |
| 303 410 IF (MITER .EQ. 0 .OR. JCUR .EQ. 1) GO TO 430 | |
| 304 ICF = 1 | |
| 305 IPUP = MITER | |
| 306 GO TO 220 | |
| 307 430 ICF = 2 | |
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308 NCF = NCF + 1 |
| 1644 | 309 RMAX = 2.0D0 |
| 310 TN = TOLD | |
| 311 I1 = NQNYH + 1 | |
| 312 DO 445 JB = 1,NQ | |
| 313 I1 = I1 - NYH | |
| 314 CDIR$ IVDEP | |
| 315 DO 440 I = I1,NQNYH | |
| 316 440 YH1(I) = YH1(I) - YH1(I+NYH) | |
| 317 445 CONTINUE | |
| 318 IF (IERPJ .LT. 0 .OR. IERSL .LT. 0) GO TO 680 | |
| 319 IF (DABS(H) .LE. HMIN*1.00001D0) GO TO 670 | |
| 320 IF (NCF .EQ. MXNCF) GO TO 670 | |
| 321 RH = 0.25D0 | |
| 322 IPUP = MITER | |
| 323 IREDO = 1 | |
| 324 GO TO 170 | |
| 325 C----------------------------------------------------------------------- | |
| 326 C THE CORRECTOR HAS CONVERGED. JCUR IS SET TO 0 | |
| 327 C TO SIGNAL THAT THE JACOBIAN INVOLVED MAY NEED UPDATING LATER. | |
| 328 C THE LOCAL ERROR TEST IS MADE AND CONTROL PASSES TO STATEMENT 500 | |
| 329 C IF IT FAILS. | |
| 330 C----------------------------------------------------------------------- | |
| 331 450 JCUR = 0 | |
| 332 IF (M .EQ. 0) DSM = DEL/TESCO(2,NQ) | |
| 333 IF (M .GT. 0) DSM = VNORM (N, ACOR, EWT)/TESCO(2,NQ) | |
| 334 IF (DSM .GT. 1.0D0) GO TO 500 | |
| 335 C----------------------------------------------------------------------- | |
| 336 C AFTER A SUCCESSFUL STEP, UPDATE THE YH ARRAY. | |
| 337 C CONSIDER CHANGING H IF IALTH = 1. OTHERWISE DECREASE IALTH BY 1. | |
| 338 C IF IALTH IS THEN 1 AND NQ .LT. MAXORD, THEN ACOR IS SAVED FOR | |
| 339 C USE IN A POSSIBLE ORDER INCREASE ON THE NEXT STEP. | |
| 340 C IF A CHANGE IN H IS CONSIDERED, AN INCREASE OR DECREASE IN ORDER | |
| 341 C BY ONE IS CONSIDERED ALSO. A CHANGE IN H IS MADE ONLY IF IT IS BY A | |
| 342 C FACTOR OF AT LEAST 1.1. IF NOT, IALTH IS SET TO 3 TO PREVENT | |
| 343 C TESTING FOR THAT MANY STEPS. | |
| 344 C----------------------------------------------------------------------- | |
| 345 KFLAG = 0 | |
| 346 IREDO = 0 | |
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347 NST = NST + 1 |
| 1644 | 348 HU = H |
| 349 NQU = NQ | |
| 350 DO 470 J = 1,L | |
| 351 DO 470 I = 1,N | |
| 352 470 YH(I,J) = YH(I,J) + EL(J)*ACOR(I) | |
| 353 IALTH = IALTH - 1 | |
| 354 IF (IALTH .EQ. 0) GO TO 520 | |
| 355 IF (IALTH .GT. 1) GO TO 700 | |
| 356 IF (L .EQ. LMAX) GO TO 700 | |
| 357 DO 490 I = 1,N | |
| 358 490 YH(I,LMAX) = ACOR(I) | |
| 359 GO TO 700 | |
| 360 C----------------------------------------------------------------------- | |
| 361 C THE ERROR TEST FAILED. KFLAG KEEPS TRACK OF MULTIPLE FAILURES. | |
| 362 C RESTORE TN AND THE YH ARRAY TO THEIR PREVIOUS VALUES, AND PREPARE | |
| 363 C TO TRY THE STEP AGAIN. COMPUTE THE OPTIMUM STEP SIZE FOR THIS OR | |
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364 C ONE LOWER ORDER. AFTER 2 OR MORE FAILURES, H IS FORCED TO DECREASE |
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365 C BY A FACTOR OF 0.2 OR LESS. |
| 1644 | 366 C----------------------------------------------------------------------- |
| 367 500 KFLAG = KFLAG - 1 | |
| 368 TN = TOLD | |
| 369 I1 = NQNYH + 1 | |
| 370 DO 515 JB = 1,NQ | |
| 371 I1 = I1 - NYH | |
| 372 CDIR$ IVDEP | |
| 373 DO 510 I = I1,NQNYH | |
| 374 510 YH1(I) = YH1(I) - YH1(I+NYH) | |
| 375 515 CONTINUE | |
| 376 RMAX = 2.0D0 | |
| 377 IF (DABS(H) .LE. HMIN*1.00001D0) GO TO 660 | |
| 378 IF (KFLAG .LE. -3) GO TO 640 | |
| 379 IREDO = 2 | |
| 380 RHUP = 0.0D0 | |
| 381 GO TO 540 | |
| 382 C----------------------------------------------------------------------- | |
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383 C REGARDLESS OF THE SUCCESS OR FAILURE OF THE STEP, FACTORS |
| 1644 | 384 C RHDN, RHSM, AND RHUP ARE COMPUTED, BY WHICH H COULD BE MULTIPLIED |
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385 C AT ORDER NQ - 1, ORDER NQ, OR ORDER NQ + 1, RESPECTIVELY. |
| 1644 | 386 C IN THE CASE OF FAILURE, RHUP = 0.0 TO AVOID AN ORDER INCREASE. |
| 387 C THE LARGEST OF THESE IS DETERMINED AND THE NEW ORDER CHOSEN | |
| 388 C ACCORDINGLY. IF THE ORDER IS TO BE INCREASED, WE COMPUTE ONE | |
| 389 C ADDITIONAL SCALED DERIVATIVE. | |
| 390 C----------------------------------------------------------------------- | |
| 391 520 RHUP = 0.0D0 | |
| 392 IF (L .EQ. LMAX) GO TO 540 | |
| 393 DO 530 I = 1,N | |
| 394 530 SAVF(I) = ACOR(I) - YH(I,LMAX) | |
| 395 DUP = VNORM (N, SAVF, EWT)/TESCO(3,NQ) | |
| 396 EXUP = 1.0D0/DBLE(L+1) | |
| 397 RHUP = 1.0D0/(1.4D0*DUP**EXUP + 0.0000014D0) | |
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398 540 EXSM = 1.0D0/DBLE(L) |
| 1644 | 399 RHSM = 1.0D0/(1.2D0*DSM**EXSM + 0.0000012D0) |
| 400 RHDN = 0.0D0 | |
| 401 IF (NQ .EQ. 1) GO TO 560 | |
| 402 DDN = VNORM (N, YH(1,L), EWT)/TESCO(1,NQ) | |
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403 EXDN = 1.0D0/DBLE(NQ) |
| 1644 | 404 RHDN = 1.0D0/(1.3D0*DDN**EXDN + 0.0000013D0) |
| 405 560 IF (RHSM .GE. RHUP) GO TO 570 | |
| 406 IF (RHUP .GT. RHDN) GO TO 590 | |
| 407 GO TO 580 | |
| 408 570 IF (RHSM .LT. RHDN) GO TO 580 | |
| 409 NEWQ = NQ | |
| 410 RH = RHSM | |
| 411 GO TO 620 | |
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412 580 NEWQ = NQ - 1 |
| 1644 | 413 RH = RHDN |
| 414 IF (KFLAG .LT. 0 .AND. RH .GT. 1.0D0) RH = 1.0D0 | |
| 415 GO TO 620 | |
| 416 590 NEWQ = L | |
| 417 RH = RHUP | |
| 418 IF (RH .LT. 1.1D0) GO TO 610 | |
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419 R = EL(L)/DBLE(L) |
| 1644 | 420 DO 600 I = 1,N |
| 421 600 YH(I,NEWQ+1) = ACOR(I)*R | |
| 422 GO TO 630 | |
| 423 610 IALTH = 3 | |
| 424 GO TO 700 | |
| 425 620 IF ((KFLAG .EQ. 0) .AND. (RH .LT. 1.1D0)) GO TO 610 | |
| 426 IF (KFLAG .LE. -2) RH = DMIN1(RH,0.2D0) | |
| 427 C----------------------------------------------------------------------- | |
| 428 C IF THERE IS A CHANGE OF ORDER, RESET NQ, L, AND THE COEFFICIENTS. | |
| 429 C IN ANY CASE H IS RESET ACCORDING TO RH AND THE YH ARRAY IS RESCALED. | |
| 430 C THEN EXIT FROM 690 IF THE STEP WAS OK, OR REDO THE STEP OTHERWISE. | |
| 431 C----------------------------------------------------------------------- | |
| 432 IF (NEWQ .EQ. NQ) GO TO 170 | |
| 433 630 NQ = NEWQ | |
| 434 L = NQ + 1 | |
| 435 IRET = 2 | |
| 436 GO TO 150 | |
| 437 C----------------------------------------------------------------------- | |
| 438 C CONTROL REACHES THIS SECTION IF 3 OR MORE FAILURES HAVE OCCURED. | |
| 439 C IF 10 FAILURES HAVE OCCURRED, EXIT WITH KFLAG = -1. | |
| 440 C IT IS ASSUMED THAT THE DERIVATIVES THAT HAVE ACCUMULATED IN THE | |
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441 C YH ARRAY HAVE ERRORS OF THE WRONG ORDER. HENCE THE FIRST |
| 1644 | 442 C DERIVATIVE IS RECOMPUTED, AND THE ORDER IS SET TO 1. THEN |
| 443 C H IS REDUCED BY A FACTOR OF 10, AND THE STEP IS RETRIED, | |
| 444 C UNTIL IT SUCCEEDS OR H REACHES HMIN. | |
| 445 C----------------------------------------------------------------------- | |
| 446 640 IF (KFLAG .EQ. -10) GO TO 660 | |
| 447 RH = 0.1D0 | |
| 448 RH = DMAX1(HMIN/DABS(H),RH) | |
| 449 H = H*RH | |
| 450 DO 645 I = 1,N | |
| 451 645 Y(I) = YH(I,1) | |
| 452 IERR = 0 | |
| 453 CALL F (NEQ, TN, Y, SAVF, IERR) | |
| 454 IF (IERR .LT. 0) RETURN | |
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455 NFE = NFE + 1 |
| 1644 | 456 DO 650 I = 1,N |
| 457 650 YH(I,2) = H*SAVF(I) | |
| 458 IPUP = MITER | |
| 459 IALTH = 5 | |
| 460 IF (NQ .EQ. 1) GO TO 200 | |
| 461 NQ = 1 | |
| 462 L = 2 | |
| 463 IRET = 3 | |
| 464 GO TO 150 | |
| 465 C----------------------------------------------------------------------- | |
| 466 C ALL RETURNS ARE MADE THROUGH THIS SECTION. H IS SAVED IN HOLD | |
| 467 C TO ALLOW THE CALLER TO CHANGE H ON THE NEXT STEP. | |
| 468 C----------------------------------------------------------------------- | |
| 469 660 KFLAG = -1 | |
| 470 GO TO 720 | |
| 471 670 KFLAG = -2 | |
| 472 GO TO 720 | |
| 473 680 KFLAG = -3 | |
| 474 GO TO 720 | |
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475 690 RMAX = 10.0D0 |
| 1644 | 476 700 R = 1.0D0/TESCO(2,NQU) |
| 477 DO 710 I = 1,N | |
| 478 710 ACOR(I) = ACOR(I)*R | |
| 479 720 HOLD = H | |
| 480 JSTART = 1 | |
| 481 RETURN | |
| 482 C----------------------- END OF SUBROUTINE STODE ----------------------- | |
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483 END |