octave: libinterp/corefcn/ellipj.cc annotate

annotate libinterp/corefcn/ellipj.cc @ 31605:e88a07dec498 stable

maint: Use macros to begin/end C++ namespaces. * oct-conf-post-public.in.h: Define two macros (OCTAVE_BEGIN_NAMESPACE, OCTAVE_END_NAMESPACE) that can be used to start/end a namespace. * mk-opts.pl, build-env.h, build-env.in.cc, __betainc__.cc, __contourc__.cc, __dsearchn__.cc, __eigs__.cc, __expint__.cc, __ftp__.cc, __gammainc__.cc, __ichol__.cc, __ilu__.cc, __isprimelarge__.cc, __lin_interpn__.cc, __magick_read__.cc, __pchip_deriv__.cc, __qp__.cc, amd.cc, auto-shlib.cc, auto-shlib.h, balance.cc, base-text-renderer.cc, base-text-renderer.h, besselj.cc, bitfcns.cc, bsxfun.cc, c-file-ptr-stream.cc, c-file-ptr-stream.h, call-stack.cc, call-stack.h, ccolamd.cc, cellfun.cc, chol.cc, colamd.cc, colloc.cc, conv2.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, data.h, debug.cc, defaults.cc, defaults.h, defun-int.h, defun.cc, det.cc, dirfns.cc, display.cc, display.h, dlmread.cc, dmperm.cc, dot.cc, dynamic-ld.cc, dynamic-ld.h, eig.cc, ellipj.cc, environment.cc, environment.h, error.cc, error.h, errwarn.h, event-manager.cc, event-manager.h, event-queue.cc, event-queue.h, fcn-info.cc, fcn-info.h, fft.cc, fft2.cc, fftn.cc, file-io.cc, filter.cc, find.cc, ft-text-renderer.cc, ft-text-renderer.h, gcd.cc, getgrent.cc, getpwent.cc, getrusage.cc, givens.cc, gl-render.cc, gl-render.h, gl2ps-print.cc, gl2ps-print.h, graphics-toolkit.cc, graphics-toolkit.h, graphics.cc, graphics.in.h, gsvd.cc, gtk-manager.cc, gtk-manager.h, hash.cc, help.cc, help.h, hess.cc, hex2num.cc, hook-fcn.cc, hook-fcn.h, input.cc, input.h, interpreter-private.cc, interpreter-private.h, interpreter.cc, interpreter.h, inv.cc, jsondecode.cc, jsonencode.cc, kron.cc, latex-text-renderer.cc, latex-text-renderer.h, load-path.cc, load-path.h, load-save.cc, load-save.h, lookup.cc, ls-ascii-helper.cc, ls-ascii-helper.h, ls-oct-text.cc, ls-utils.cc, ls-utils.h, lsode.cc, lu.cc, mappers.cc, matrix_type.cc, max.cc, mex-private.h, mex.cc, mgorth.cc, nproc.cc, oct-fstrm.cc, oct-fstrm.h, oct-hdf5-types.cc, oct-hdf5-types.h, oct-hist.cc, oct-hist.h, oct-iostrm.cc, oct-iostrm.h, oct-opengl.h, oct-prcstrm.cc, oct-prcstrm.h, oct-procbuf.cc, oct-procbuf.h, oct-process.cc, oct-process.h, oct-stdstrm.h, oct-stream.cc, oct-stream.h, oct-strstrm.cc, oct-strstrm.h, oct-tex-lexer.in.ll, oct-tex-parser.yy, ordqz.cc, ordschur.cc, pager.cc, pager.h, pinv.cc, pow2.cc, pr-flt-fmt.cc, pr-output.cc, procstream.cc, procstream.h, psi.cc, qr.cc, quad.cc, quadcc.cc, qz.cc, rand.cc, rcond.cc, regexp.cc, schur.cc, settings.cc, settings.h, sighandlers.cc, sighandlers.h, sparse-xdiv.cc, sparse-xdiv.h, sparse-xpow.cc, sparse-xpow.h, sparse.cc, spparms.cc, sqrtm.cc, stack-frame.cc, stack-frame.h, stream-euler.cc, strfind.cc, strfns.cc, sub2ind.cc, svd.cc, sylvester.cc, symbfact.cc, syminfo.cc, syminfo.h, symrcm.cc, symrec.cc, symrec.h, symscope.cc, symscope.h, symtab.cc, symtab.h, syscalls.cc, sysdep.cc, sysdep.h, text-engine.cc, text-engine.h, text-renderer.cc, text-renderer.h, time.cc, toplev.cc, tril.cc, tsearch.cc, typecast.cc, url-handle-manager.cc, url-handle-manager.h, urlwrite.cc, utils.cc, utils.h, variables.cc, variables.h, xdiv.cc, xdiv.h, xnorm.cc, xnorm.h, xpow.cc, xpow.h, __delaunayn__.cc, __fltk_uigetfile__.cc, __glpk__.cc, __init_fltk__.cc, __init_gnuplot__.cc, __ode15__.cc, __voronoi__.cc, audiodevinfo.cc, audioread.cc, convhulln.cc, fftw.cc, gzip.cc, mk-build-env-features.sh, mk-builtins.pl, cdef-class.cc, cdef-class.h, cdef-fwd.h, cdef-manager.cc, cdef-manager.h, cdef-method.cc, cdef-method.h, cdef-object.cc, cdef-object.h, cdef-package.cc, cdef-package.h, cdef-property.cc, cdef-property.h, cdef-utils.cc, cdef-utils.h, ov-base.cc, ov-base.h, ov-bool-mat.cc, ov-builtin.h, ov-cell.cc, ov-class.cc, ov-class.h, ov-classdef.cc, ov-classdef.h, ov-complex.cc, ov-fcn-handle.cc, ov-fcn-handle.h, ov-fcn.h, ov-java.cc, ov-java.h, ov-mex-fcn.h, ov-null-mat.cc, ov-oncleanup.cc, ov-struct.cc, ov-typeinfo.cc, ov-typeinfo.h, ov-usr-fcn.cc, ov-usr-fcn.h, ov.cc, ov.h, octave.cc, octave.h, mk-ops.sh, op-b-b.cc, op-b-bm.cc, op-b-sbm.cc, op-bm-b.cc, op-bm-bm.cc, op-bm-sbm.cc, op-cdm-cdm.cc, op-cell.cc, op-chm.cc, op-class.cc, op-cm-cm.cc, op-cm-cs.cc, op-cm-m.cc, op-cm-s.cc, op-cm-scm.cc, op-cm-sm.cc, op-cs-cm.cc, op-cs-cs.cc, op-cs-m.cc, op-cs-s.cc, op-cs-scm.cc, op-cs-sm.cc, op-dm-dm.cc, op-dm-scm.cc, op-dm-sm.cc, op-dm-template.cc, op-dms-template.cc, op-fcdm-fcdm.cc, op-fcm-fcm.cc, op-fcm-fcs.cc, op-fcm-fm.cc, op-fcm-fs.cc, op-fcn.cc, op-fcs-fcm.cc, op-fcs-fcs.cc, op-fcs-fm.cc, op-fcs-fs.cc, op-fdm-fdm.cc, op-fm-fcm.cc, op-fm-fcs.cc, op-fm-fm.cc, op-fm-fs.cc, op-fs-fcm.cc, op-fs-fcs.cc, op-fs-fm.cc, op-fs-fs.cc, op-i16-i16.cc, op-i32-i32.cc, op-i64-i64.cc, op-i8-i8.cc, op-int-concat.cc, op-m-cm.cc, op-m-cs.cc, op-m-m.cc, op-m-s.cc, op-m-scm.cc, op-m-sm.cc, op-mi.cc, op-pm-pm.cc, op-pm-scm.cc, op-pm-sm.cc, op-pm-template.cc, op-range.cc, op-s-cm.cc, op-s-cs.cc, op-s-m.cc, op-s-s.cc, op-s-scm.cc, op-s-sm.cc, op-sbm-b.cc, op-sbm-bm.cc, op-sbm-sbm.cc, op-scm-cm.cc, op-scm-cs.cc, op-scm-m.cc, op-scm-s.cc, op-scm-scm.cc, op-scm-sm.cc, op-sm-cm.cc, op-sm-cs.cc, op-sm-m.cc, op-sm-s.cc, op-sm-scm.cc, op-sm-sm.cc, op-str-m.cc, op-str-s.cc, op-str-str.cc, op-struct.cc, op-ui16-ui16.cc, op-ui32-ui32.cc, op-ui64-ui64.cc, op-ui8-ui8.cc, ops.h, anon-fcn-validator.cc, anon-fcn-validator.h, bp-table.cc, bp-table.h, comment-list.cc, comment-list.h, filepos.h, lex.h, lex.ll, oct-lvalue.cc, oct-lvalue.h, oct-parse.yy, parse.h, profiler.cc, profiler.h, pt-anon-scopes.cc, pt-anon-scopes.h, pt-arg-list.cc, pt-arg-list.h, pt-args-block.cc, pt-args-block.h, pt-array-list.cc, pt-array-list.h, pt-assign.cc, pt-assign.h, pt-binop.cc, pt-binop.h, pt-bp.cc, pt-bp.h, pt-cbinop.cc, pt-cbinop.h, pt-cell.cc, pt-cell.h, pt-check.cc, pt-check.h, pt-classdef.cc, pt-classdef.h, pt-cmd.h, pt-colon.cc, pt-colon.h, pt-const.cc, pt-const.h, pt-decl.cc, pt-decl.h, pt-eval.cc, pt-eval.h, pt-except.cc, pt-except.h, pt-exp.cc, pt-exp.h, pt-fcn-handle.cc, pt-fcn-handle.h, pt-id.cc, pt-id.h, pt-idx.cc, pt-idx.h, pt-jump.h, pt-loop.cc, pt-loop.h, pt-mat.cc, pt-mat.h, pt-misc.cc, pt-misc.h, pt-pr-code.cc, pt-pr-code.h, pt-select.cc, pt-select.h, pt-spmd.cc, pt-spmd.h, pt-stmt.cc, pt-stmt.h, pt-tm-const.cc, pt-tm-const.h, pt-unop.cc, pt-unop.h, pt-vm-eval.cc, pt-walk.cc, pt-walk.h, pt.cc, pt.h, token.cc, token.h, Range.cc, Range.h, idx-vector.cc, idx-vector.h, range-fwd.h, CollocWt.cc, CollocWt.h, aepbalance.cc, aepbalance.h, chol.cc, chol.h, gepbalance.cc, gepbalance.h, gsvd.cc, gsvd.h, hess.cc, hess.h, lo-mappers.cc, lo-mappers.h, lo-specfun.cc, lo-specfun.h, lu.cc, lu.h, oct-convn.cc, oct-convn.h, oct-fftw.cc, oct-fftw.h, oct-norm.cc, oct-norm.h, oct-rand.cc, oct-rand.h, oct-spparms.cc, oct-spparms.h, qr.cc, qr.h, qrp.cc, qrp.h, randgamma.cc, randgamma.h, randmtzig.cc, randmtzig.h, randpoisson.cc, randpoisson.h, schur.cc, schur.h, sparse-chol.cc, sparse-chol.h, sparse-lu.cc, sparse-lu.h, sparse-qr.cc, sparse-qr.h, svd.cc, svd.h, child-list.cc, child-list.h, dir-ops.cc, dir-ops.h, file-ops.cc, file-ops.h, file-stat.cc, file-stat.h, lo-sysdep.cc, lo-sysdep.h, lo-sysinfo.cc, lo-sysinfo.h, mach-info.cc, mach-info.h, oct-env.cc, oct-env.h, oct-group.cc, oct-group.h, oct-password.cc, oct-password.h, oct-syscalls.cc, oct-syscalls.h, oct-time.cc, oct-time.h, oct-uname.cc, oct-uname.h, action-container.cc, action-container.h, base-list.h, cmd-edit.cc, cmd-edit.h, cmd-hist.cc, cmd-hist.h, f77-fcn.h, file-info.cc, file-info.h, lo-array-errwarn.cc, lo-array-errwarn.h, lo-hash.cc, lo-hash.h, lo-ieee.h, lo-regexp.cc, lo-regexp.h, lo-utils.cc, lo-utils.h, oct-base64.cc, oct-base64.h, oct-glob.cc, oct-glob.h, oct-inttypes.h, oct-mutex.cc, oct-mutex.h, oct-refcount.h, oct-shlib.cc, oct-shlib.h, oct-sparse.cc, oct-sparse.h, oct-string.h, octave-preserve-stream-state.h, pathsearch.cc, pathsearch.h, quit.cc, quit.h, unwind-prot.cc, unwind-prot.h, url-transfer.cc, url-transfer.h : Use new macros to begin/end C++ namespaces.

author	Rik <rik@octave.org>
date	Thu, 01 Dec 2022 14:23:45 -0800
parents	796f54d4ddbf
children	aac27ad79be6

rev	line source
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	1 ////////////////////////////////////////////////////////////////////////
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	2 //
30564 796f54d4ddbf update Octave Project Developers copyright for the new year John W. Eaton <jwe@octave.org> parents: 29961 diff changeset	3 // Copyright (C) 2013-2022 The Octave Project Developers
27923 bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	4 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	5 // See the file COPYRIGHT.md in the top-level directory of this
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	6 // distribution or <https://octave.org/copyright/>.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	7 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	8 // This file is part of Octave.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	9 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	10 // Octave is free software: you can redistribute it and/or modify it
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	11 // under the terms of the GNU General Public License as published by
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	12 // the Free Software Foundation, either version 3 of the License, or
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	13 // (at your option) any later version.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	14 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	15 // Octave is distributed in the hope that it will be useful, but
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	16 // WITHOUT ANY WARRANTY; without even the implied warranty of
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	18 // GNU General Public License for more details.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	19 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	20 // You should have received a copy of the GNU General Public License
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	21 // along with Octave; see the file COPYING. If not, see
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	22 // <https://www.gnu.org/licenses/>.
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	23 //
bd51beb6205e update formatting of copyright notices John W. Eaton <jwe@octave.org> parents: 27919 diff changeset	24 ////////////////////////////////////////////////////////////////////////
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	25
21724 aba2e6293dd8 use "#if ..." consistently instead of "#ifdef" and "#ifndef" John W. Eaton <jwe@octave.org> parents: 21660 diff changeset	26 #if defined (HAVE_CONFIG_H)
21301 40de9f8f23a6 Use '#include "config.h"' rather than <config.h>. Rik <rik@octave.org> parents: 21200 diff changeset	27 # include "config.h"
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	28 #endif
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	29
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	30 #include "defun.h"
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	31 #include "error.h"
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	32 #include "lo-specfun.h"
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	33
31605 e88a07dec498 maint: Use macros to begin/end C++ namespaces. Rik <rik@octave.org> parents: 30564 diff changeset	34 OCTAVE_BEGIN_NAMESPACE(octave)
29958 32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	35
20915 a3359fe50966 remove unused nargout variables John W. Eaton <jwe@octave.org> parents: 20909 diff changeset	36 DEFUN (ellipj, args, ,
21966 112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	37 doc: /* -- texinfo --
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	38 @deftypefn {} {[@var{sn}, @var{cn}, @var{dn}, @var{err}] =} ellipj (@var{u}, @var{m})
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	39 @deftypefnx {} {[@var{sn}, @var{cn}, @var{dn}, @var{err}] =} ellipj (@var{u}, @var{m}, @var{tol})
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	40 Compute the Jacobi elliptic functions @var{sn}, @var{cn}, and @var{dn}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	41 of complex argument @var{u} and real parameter @var{m}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	42
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	43 If @var{m} is a scalar, the results are the same size as @var{u}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	44 If @var{u} is a scalar, the results are the same size as @var{m}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	45 If @var{u} is a column vector and @var{m} is a row vector, the
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	46 results are matrices with @code{length (@var{u})} rows and
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	47 @code{length (@var{m})} columns. Otherwise, @var{u} and
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	48 @var{m} must conform in size and the results will be the same size as the
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	49 inputs.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	50
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	51 The value of @var{u} may be complex.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	52 The value of @var{m} must be 0 @leq{} @var{m} @leq{} 1.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	53
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	54 The optional input @var{tol} is currently ignored (@sc{matlab} uses this to
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	55 allow faster, less accurate approximation).
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	56
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	57 If requested, @var{err} contains the following status information
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	58 and is the same size as the result.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	59
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	60 @enumerate 0
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	61 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	62 Normal return.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	63
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	64 @item
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	65 Error---no computation, algorithm termination condition not met,
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	66 return @code{NaN}.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	67 @end enumerate
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	68
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	69 Reference: Milton @nospell{Abramowitz} and Irene A @nospell{Stegun},
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	70 @cite{Handbook of Mathematical Functions}, Chapter 16 (Sections 16.4, 16.13,
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	71 and 16.15), Dover, 1965.
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	72
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	73 @seealso{ellipke}
112b20240c87 move docstrings in C++ files out of C strings and into comments John W. Eaton <jwe@octave.org> parents: 21786 diff changeset	74 @end deftypefn */)
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	75 {
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	76 int nargin = args.length ();
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	77
16588 4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	78 if (nargin < 2 \|\| nargin > 3)
20802 8bb38ba1bad6 eliminate return statements after calls to print_usage John W. Eaton <jwe@octave.org> parents: 20711 diff changeset	79 print_usage ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	80
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	81 octave_value u_arg = args(0);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	82 octave_value m_arg = args(1);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	83
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	84 if (m_arg.is_scalar_type ())
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	85 {
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	86 double m = args(1).xdouble_value ("ellipj: M must be a scalar or matrix");
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	87
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	88 if (u_arg.is_scalar_type ())
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	89 {
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23573 diff changeset	90 if (u_arg.isreal ())
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	91 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	92 // u real, m scalar
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	93 double u = args(0).xdouble_value ("ellipj: U must be a scalar or matrix");
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	94
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	95 double sn, cn, dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	96 double err = 0;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	97
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	98 math::ellipj (u, m, sn, cn, dn, err);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	99
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	100 return ovl (sn, cn, dn, err);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	101 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	102 else
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	103 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	104 // u complex, m scalar
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	105 Complex u = u_arg.xcomplex_value ("ellipj: U must be a scalar or matrix");
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	106
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	107 Complex sn, cn, dn;
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	108 double err = 0;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	109
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	110 math::ellipj (u, m, sn, cn, dn, err);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	111
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	112 return ovl (sn, cn, dn, err);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	113 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	114 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	115 else
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	116 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	117 // u is matrix, m is scalar
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	118 ComplexNDArray u = u_arg.xcomplex_array_value ("ellipj: U must be a scalar or matrix");
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	119
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	120 dim_vector sz_u = u.dims ();
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	121
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	122 ComplexNDArray sn (sz_u), cn (sz_u), dn (sz_u);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	123 NDArray err (sz_u);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	124
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	125 const Complex *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	126 Complex *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	127 Complex *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	128 Complex *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	129 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	130 octave_idx_type nel = u.numel ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	131
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	132 for (octave_idx_type i = 0; i < nel; i++)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	133 math::ellipj (pu[i], m, psn[i], pcn[i], pdn[i], perr[i]);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	134
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	135 return ovl (sn, cn, dn, err);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	136 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	137 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	138 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	139 {
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	140 NDArray m = args(1).xarray_value ("ellipj: M must be a scalar or matrix");
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	141
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	142 dim_vector sz_m = m.dims ();
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	143
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	144 if (u_arg.is_scalar_type ())
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	145 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	146 // u is scalar, m is array
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23573 diff changeset	147 if (u_arg.isreal ())
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	148 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	149 // u is real scalar, m is array
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	150 double u = u_arg.xdouble_value ("ellipj: U must be a scalar or matrix");
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	151
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	152 NDArray sn (sz_m), cn (sz_m), dn (sz_m);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	153 NDArray err (sz_m);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	154
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	155 const double *pm = m.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	156 double *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	157 double *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	158 double *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	159 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	160 octave_idx_type nel = m.numel ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	161
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	162 for (octave_idx_type i = 0; i < nel; i++)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	163 math::ellipj (u, pm[i], psn[i], pcn[i], pdn[i], perr[i]);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	164
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	165 return ovl (sn, cn, dn, err);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	166 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	167 else
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	168 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	169 // u is complex scalar, m is array
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	170 Complex u = u_arg.xcomplex_value ("ellipj: U must be a scalar or matrix");
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	171
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	172 ComplexNDArray sn (sz_m), cn (sz_m), dn (sz_m);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	173 NDArray err (sz_m);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	174
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	175 const double *pm = m.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	176 Complex *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	177 Complex *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	178 Complex *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	179 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	180 octave_idx_type nel = m.numel ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	181
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	182 for (octave_idx_type i = 0; i < nel; i++)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	183 math::ellipj (u, pm[i], psn[i], pcn[i], pdn[i], perr[i]);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	184
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	185 return ovl (sn, cn, dn, err);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	186 }
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	187 }
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	188 else
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	189 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	190 // u is array, m is array
23582 0cc2011d800e maint: Deprecate is_real_type and replace with isreal. Rik <rik@octave.org> parents: 23573 diff changeset	191 if (u_arg.isreal ())
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	192 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	193 // u is real array, m is array
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	194 NDArray u = u_arg.xarray_value ("ellipj: U must be a scalar or matrix");
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	195
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	196 dim_vector sz_u = u.dims ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	197
21660 53728df3e4c9 maint: for clarity, call ndims() rather than length() on dimension vectors. Rik <rik@octave.org> parents: 21581 diff changeset	198 if (sz_u.ndims () == 2 && sz_m.ndims () == 2
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	199 && sz_u(1) == 1 && sz_m(0) == 1)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	200 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	201 // u is real column vector, m is row vector
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	202 octave_idx_type ur = sz_u(0);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	203 octave_idx_type mc = sz_m(1);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	204 dim_vector sz_out (ur, mc);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	205
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	206 NDArray sn (sz_out), cn (sz_out), dn (sz_out);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	207 NDArray err (sz_out);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	208
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	209 const double *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	210 const double *pm = m.data ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	211
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	212 for (octave_idx_type j = 0; j < mc; j++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	213 for (octave_idx_type i = 0; i < ur; i++)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	214 math::ellipj (pu[i], pm[j], sn(i,j), cn(i,j), dn(i,j), err(i,j));
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	215
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	216 return ovl (sn, cn, dn, err);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	217 }
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	218 else if (sz_m == sz_u)
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	219 {
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	220 NDArray sn (sz_m), cn (sz_m), dn (sz_m);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	221 NDArray err (sz_m);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	222
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	223 const double *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	224 const double *pm = m.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	225 double *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	226 double *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	227 double *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	228 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	229 octave_idx_type nel = m.numel ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	230
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	231 for (octave_idx_type i = 0; i < nel; i++)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	232 math::ellipj (pu[i], pm[i], psn[i], pcn[i], pdn[i], perr[i]);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	233
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	234 return ovl (sn, cn, dn, err);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	235 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	236 else
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	237 error ("ellipj: Invalid size combination for U and M");
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	238 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	239 else
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	240 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	241 // u is complex array, m is array
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	242 ComplexNDArray u = u_arg.xcomplex_array_value ("ellipj: U must be a scalar or matrix");
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	243
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	244 dim_vector sz_u = u.dims ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	245
21660 53728df3e4c9 maint: for clarity, call ndims() rather than length() on dimension vectors. Rik <rik@octave.org> parents: 21581 diff changeset	246 if (sz_u.ndims () == 2 && sz_m.ndims () == 2
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	247 && sz_u(1) == 1 && sz_m(0) == 1)
17787 175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	248 {
175b392e91fe Use GNU style coding conventions for code in libinterp/ Rik <rik@octave.org> parents: 17514 diff changeset	249 // u is complex column vector, m is row vector
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	250 octave_idx_type ur = sz_u(0);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	251 octave_idx_type mc = sz_m(1);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	252 dim_vector sz_out (ur, mc);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	253
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	254 ComplexNDArray sn (sz_out), cn (sz_out), dn (sz_out);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	255 NDArray err (sz_out);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	256
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	257 const Complex *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	258 const double *pm = m.data ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	259
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	260 for (octave_idx_type j = 0; j < mc; j++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	261 for (octave_idx_type i = 0; i < ur; i++)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	262 math::ellipj (pu[i], pm[j], sn(i,j), cn(i,j), dn(i,j), err(i,j));
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	263
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	264 return ovl (sn, cn, dn, err);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	265 }
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	266 else if (sz_m == sz_u)
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	267 {
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	268 ComplexNDArray sn (sz_m), cn (sz_m), dn (sz_m);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	269 NDArray err (sz_m);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	270
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	271 const Complex *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	272 const double *pm = m.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	273 Complex *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	274 Complex *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	275 Complex *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	276 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	277 octave_idx_type nel = m.numel ();
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	278
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	279 for (octave_idx_type i = 0; i < nel; i++)
29961 7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more John W. Eaton <jwe@octave.org> parents: 29958 diff changeset	280 math::ellipj (pu[i], pm[i], psn[i], pcn[i], pdn[i], perr[i]);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	281
20909 03e4ddd49396 omit unnecessary nargout checks John W. Eaton <jwe@octave.org> parents: 20892 diff changeset	282 return ovl (sn, cn, dn, err);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	283 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	284 else
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	285 error ("ellipj: Invalid size combination for U and M");
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	286 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	287 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	288 } // m matrix
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	289
20941 a4f5da7c5463 maint: Replace "octave_value_list ()" with "ovl ()". Rik <rik@octave.org> parents: 20915 diff changeset	290 return ovl ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	291 }
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	292
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	293 /*
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	294 ## demos taken from inst/ellipj.m
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	295
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	296 %!demo
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	297 %! N = 150;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	298 %! # m = [1-logspace(0,log(eps),N-1), 1]; # m near 1
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	299 %! # m = [0, logspace(log(eps),0,N-1)]; # m near 0
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	300 %! m = linspace (0,1,N); # m equally spaced
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	301 %! u = linspace (-20, 20, N);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	302 %! M = ones (length (u), 1) * m;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	303 %! U = u' * ones (1, length (m));
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	304 %! [sn, cn, dn] = ellipj (U,M);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	305 %!
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	306 %! ## Plotting
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	307 %! data = {sn,cn,dn};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	308 %! dname = {"sn","cn","dn"};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	309 %! for i=1:3
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	310 %! subplot (1,3,i);
16585 1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	311 %! data{i}(data{i} > 1) = 1;
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	312 %! data{i}(data{i} < -1) = -1;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	313 %! image (m,u,32*data{i}+32);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	314 %! title (dname{i});
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	315 %! endfor
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	316 %! colormap (hot (64));
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	317
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	318 %!demo
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	319 %! N = 200;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	320 %! # m = [1-logspace(0,log(eps),N-1), 1]; # m near 1
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	321 %! # m = [0, logspace(log(eps),0,N-1)]; # m near 0
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	322 %! m = linspace (0,1,N); # m equally spaced
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	323 %! u = linspace (0,20,5);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	324 %! M = ones (length (u), 1) * m;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	325 %! U = u' * ones (1, length (m));
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	326 %! [sn, cn, dn] = ellipj (U,M);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	327 %!
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	328 %! ## Plotting
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	329 %! data = {sn,cn,dn};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	330 %! dname = {"sn","cn","dn"};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	331 %! for i=1:3
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	332 %! subplot (1,3,i);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	333 %! plot (m, data{i});
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	334 %! title (dname{i});
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	335 %! grid on;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	336 %! endfor
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	337 */
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	338
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	339 /*
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	340 ## tests taken from inst/test_sncndn.m
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	341
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	342 %!test
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	343 %! k = (tan (pi/8))^2; m = k*k;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	344 %! SN = [
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	345 %! -1. + I * 0. , -0.8392965923 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	346 %! -1. + I * 0.2 , -0.8559363407 + 0.108250955 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	347 %! -1. + I * 0.4 , -0.906529758 + 0.2204040232 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	348 %! -1. + I * 0.6 , -0.9931306727 + 0.3403783409 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	349 %! -1. + I * 0.8 , -1.119268095 + 0.4720784944 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	350 %! -1. + I * 1. , -1.29010951 + 0.6192468708 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	351 %! -1. + I * 1.2 , -1.512691987 + 0.7850890595 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	352 %! -1. + I * 1.4 , -1.796200374 + 0.9714821804 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	353 %! -1. + I * 1.6 , -2.152201882 + 1.177446413 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	354 %! -1. + I * 1.8 , -2.594547417 + 1.396378892 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	355 %! -1. + I * 2. , -3.138145339 + 1.611394819 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	356 %! -0.8 + I * 0. , -0.7158157937 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	357 %! -0.8 + I * 0.2 , -0.7301746722 + 0.1394690862 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	358 %! -0.8 + I * 0.4 , -0.7738940898 + 0.2841710966 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	359 %! -0.8 + I * 0.6 , -0.8489542135 + 0.4394411376 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	360 %! -0.8 + I * 0.8 , -0.9588386397 + 0.6107824358 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	361 %! -0.8 + I * 1. , -1.108848724 + 0.8038415767 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	362 %! -0.8 + I * 1.2 , -1.306629972 + 1.024193359 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	363 %! -0.8 + I * 1.4 , -1.563010199 + 1.276740951 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	364 %! -0.8 + I * 1.6 , -1.893274688 + 1.564345558 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	365 %! -0.8 + I * 1.8 , -2.318944084 + 1.88491973 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	366 %! -0.8 + I * 2. , -2.869716809 + 2.225506523 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	367 %! -0.6 + I * 0. , -0.5638287208 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	368 %! -0.6 + I * 0.2 , -0.5752723012 + 0.1654722474 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	369 %! -0.6 + I * 0.4 , -0.610164314 + 0.3374004736 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	370 %! -0.6 + I * 0.6 , -0.6702507087 + 0.5224614298 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	371 %! -0.6 + I * 0.8 , -0.7586657365 + 0.7277663879 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	372 %! -0.6 + I * 1. , -0.8803349115 + 0.9610513652 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	373 %! -0.6 + I * 1.2 , -1.042696526 + 1.230800819 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	374 %! -0.6 + I * 1.4 , -1.256964505 + 1.546195843 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	375 %! -0.6 + I * 1.6 , -1.540333527 + 1.916612621 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	376 %! -0.6 + I * 1.8 , -1.919816065 + 2.349972151 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	377 %! -0.6 + I * 2. , -2.438761841 + 2.848129496 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	378 %! -0.4 + I * 0. , -0.3891382858 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	379 %! -0.4 + I * 0.2 , -0.3971152026 + 0.1850563793 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	380 %! -0.4 + I * 0.4 , -0.4214662882 + 0.3775700801 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	381 %! -0.4 + I * 0.6 , -0.4635087491 + 0.5853434119 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	382 %! -0.4 + I * 0.8 , -0.5256432877 + 0.8168992398 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	383 %! -0.4 + I * 1. , -0.611733177 + 1.081923504 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	384 %! -0.4 + I * 1.2 , -0.7278102331 + 1.391822501 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	385 %! -0.4 + I * 1.4 , -0.8833807998 + 1.760456461 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	386 %! -0.4 + I * 1.6 , -1.093891878 + 2.205107766 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	387 %! -0.4 + I * 1.8 , -1.385545188 + 2.747638761 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	388 %! -0.4 + I * 2. , -1.805081271 + 3.41525351 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	389 %! -0.2 + I * 0. , -0.1986311721 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	390 %! -0.2 + I * 0.2 , -0.2027299916 + 0.1972398665 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	391 %! -0.2 + I * 0.4 , -0.2152524522 + 0.402598347 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	392 %! -0.2 + I * 0.6 , -0.2369100139 + 0.6246336356 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	393 %! -0.2 + I * 0.8 , -0.2690115146 + 0.8728455227 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	394 %! -0.2 + I * 1. , -0.3136938773 + 1.158323088 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	395 %! -0.2 + I * 1.2 , -0.3743615191 + 1.494672508 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	396 %! -0.2 + I * 1.4 , -0.4565255082 + 1.899466033 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	397 %! -0.2 + I * 1.6 , -0.5694611346 + 2.39667232 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	398 %! -0.2 + I * 1.8 , -0.7296612675 + 3.020990664 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	399 %! -0.2 + I * 2. , -0.9685726188 + 3.826022536 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	400 %! 0. + I * 0. , 0. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	401 %! 0. + I * 0.2 , 0. + 0.201376364 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	402 %! 0. + I * 0.4 , 0. + 0.4111029248 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	403 %! 0. + I * 0.6 , 0. + 0.6380048435 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	404 %! 0. + I * 0.8 , 0. + 0.8919321473 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	405 %! 0. + I * 1. , 0. + 1.184486615 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	406 %! 0. + I * 1.2 , 0. + 1.530096023 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	407 %! 0. + I * 1.4 , 0. + 1.947754612 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	408 %! 0. + I * 1.6 , 0. + 2.464074356 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	409 %! 0. + I * 1.8 , 0. + 3.119049475 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	410 %! 0. + I * 2. , 0. + 3.97786237 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	411 %! 0.2 + I * 0. , 0.1986311721 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	412 %! 0.2 + I * 0.2 , 0.2027299916 + 0.1972398665 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	413 %! 0.2 + I * 0.4 , 0.2152524522 + 0.402598347 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	414 %! 0.2 + I * 0.6 , 0.2369100139 + 0.6246336356 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	415 %! 0.2 + I * 0.8 , 0.2690115146 + 0.8728455227 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	416 %! 0.2 + I * 1. , 0.3136938773 + 1.158323088 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	417 %! 0.2 + I * 1.2 , 0.3743615191 + 1.494672508 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	418 %! 0.2 + I * 1.4 , 0.4565255082 + 1.899466033 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	419 %! 0.2 + I * 1.6 , 0.5694611346 + 2.39667232 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	420 %! 0.2 + I * 1.8 , 0.7296612675 + 3.020990664 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	421 %! 0.2 + I * 2. , 0.9685726188 + 3.826022536 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	422 %! 0.4 + I * 0. , 0.3891382858 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	423 %! 0.4 + I * 0.2 , 0.3971152026 + 0.1850563793 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	424 %! 0.4 + I * 0.4 , 0.4214662882 + 0.3775700801 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	425 %! 0.4 + I * 0.6 , 0.4635087491 + 0.5853434119 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	426 %! 0.4 + I * 0.8 , 0.5256432877 + 0.8168992398 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	427 %! 0.4 + I * 1. , 0.611733177 + 1.081923504 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	428 %! 0.4 + I * 1.2 , 0.7278102331 + 1.391822501 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	429 %! 0.4 + I * 1.4 , 0.8833807998 + 1.760456461 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	430 %! 0.4 + I * 1.6 , 1.093891878 + 2.205107766 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	431 %! 0.4 + I * 1.8 , 1.385545188 + 2.747638761 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	432 %! 0.4 + I * 2. , 1.805081271 + 3.41525351 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	433 %! 0.6 + I * 0. , 0.5638287208 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	434 %! 0.6 + I * 0.2 , 0.5752723012 + 0.1654722474 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	435 %! 0.6 + I * 0.4 , 0.610164314 + 0.3374004736 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	436 %! 0.6 + I * 0.6 , 0.6702507087 + 0.5224614298 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	437 %! 0.6 + I * 0.8 , 0.7586657365 + 0.7277663879 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	438 %! 0.6 + I * 1. , 0.8803349115 + 0.9610513652 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	439 %! 0.6 + I * 1.2 , 1.042696526 + 1.230800819 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	440 %! 0.6 + I * 1.4 , 1.256964505 + 1.546195843 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	441 %! 0.6 + I * 1.6 , 1.540333527 + 1.916612621 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	442 %! 0.6 + I * 1.8 , 1.919816065 + 2.349972151 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	443 %! 0.6 + I * 2. , 2.438761841 + 2.848129496 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	444 %! 0.8 + I * 0. , 0.7158157937 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	445 %! 0.8 + I * 0.2 , 0.7301746722 + 0.1394690862 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	446 %! 0.8 + I * 0.4 , 0.7738940898 + 0.2841710966 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	447 %! 0.8 + I * 0.6 , 0.8489542135 + 0.4394411376 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	448 %! 0.8 + I * 0.8 , 0.9588386397 + 0.6107824358 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	449 %! 0.8 + I * 1. , 1.108848724 + 0.8038415767 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	450 %! 0.8 + I * 1.2 , 1.306629972 + 1.024193359 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	451 %! 0.8 + I * 1.4 , 1.563010199 + 1.276740951 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	452 %! 0.8 + I * 1.6 , 1.893274688 + 1.564345558 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	453 %! 0.8 + I * 1.8 , 2.318944084 + 1.88491973 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	454 %! 0.8 + I * 2. , 2.869716809 + 2.225506523 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	455 %! 1. + I * 0. , 0.8392965923 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	456 %! 1. + I * 0.2 , 0.8559363407 + 0.108250955 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	457 %! 1. + I * 0.4 , 0.906529758 + 0.2204040232 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	458 %! 1. + I * 0.6 , 0.9931306727 + 0.3403783409 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	459 %! 1. + I * 0.8 , 1.119268095 + 0.4720784944 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	460 %! 1. + I * 1. , 1.29010951 + 0.6192468708 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	461 %! 1. + I * 1.2 , 1.512691987 + 0.7850890595 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	462 %! 1. + I * 1.4 , 1.796200374 + 0.9714821804 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	463 %! 1. + I * 1.6 , 2.152201882 + 1.177446413 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	464 %! 1. + I * 1.8 , 2.594547417 + 1.396378892 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	465 %! 1. + I * 2. , 3.138145339 + 1.611394819 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	466 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	467 %! CN = [
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	468 %! -1. + I * 0. , 0.5436738271 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	469 %! -1. + I * 0.2 , 0.5541219664 + 0.1672121517 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	470 %! -1. + I * 0.4 , 0.5857703552 + 0.3410940893 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	471 %! -1. + I * 0.6 , 0.6395034233 + 0.5285979063 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	472 %! -1. + I * 0.8 , 0.716688504 + 0.7372552987 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	473 %! -1. + I * 1. , 0.8189576795 + 0.9755037374 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	474 %! -1. + I * 1.2 , 0.9477661951 + 1.253049471 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	475 %! -1. + I * 1.4 , 1.103540657 + 1.581252712 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	476 %! -1. + I * 1.6 , 1.284098214 + 1.973449038 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	477 %! -1. + I * 1.8 , 1.481835651 + 2.4449211 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	478 %! -1. + I * 2. , 1.679032464 + 3.011729224 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	479 %! -0.8 + I * 0. , 0.6982891589 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	480 %! -0.8 + I * 0.2 , 0.71187169 + 0.1430549855 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	481 %! -0.8 + I * 0.4 , 0.7530744458 + 0.2920273465 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	482 %! -0.8 + I * 0.6 , 0.8232501212 + 0.4531616768 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	483 %! -0.8 + I * 0.8 , 0.9245978896 + 0.6334016187 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	484 %! -0.8 + I * 1. , 1.060030206 + 0.8408616109 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	485 %! -0.8 + I * 1.2 , 1.232861756 + 1.085475913 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	486 %! -0.8 + I * 1.4 , 1.446126965 + 1.379933558 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	487 %! -0.8 + I * 1.6 , 1.701139468 + 1.741030588 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	488 %! -0.8 + I * 1.8 , 1.994526268 + 2.191509596 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	489 %! -0.8 + I * 2. , 2.312257188 + 2.762051518 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	490 %! -0.6 + I * 0. , 0.8258917445 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	491 %! -0.6 + I * 0.2 , 0.842151698 + 0.1130337928 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	492 %! -0.6 + I * 0.4 , 0.8915487431 + 0.2309124769 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	493 %! -0.6 + I * 0.6 , 0.975948103 + 0.3588102098 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	494 %! -0.6 + I * 0.8 , 1.098499209 + 0.5026234141 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	495 %! -0.6 + I * 1. , 1.263676101 + 0.6695125973 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	496 %! -0.6 + I * 1.2 , 1.477275851 + 0.8687285705 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	497 %! -0.6 + I * 1.4 , 1.746262523 + 1.112955966 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	498 %! -0.6 + I * 1.6 , 2.078179075 + 1.420581466 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	499 %! -0.6 + I * 1.8 , 2.479425208 + 1.819580713 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	500 %! -0.6 + I * 2. , 2.950586798 + 2.354077344 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	501 %! -0.4 + I * 0. , 0.9211793498 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	502 %! -0.4 + I * 0.2 , 0.9395019377 + 0.07822091534 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	503 %! -0.4 + I * 0.4 , 0.9952345231 + 0.1598950363 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	504 %! -0.4 + I * 0.6 , 1.090715991 + 0.2487465067 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	505 %! -0.4 + I * 0.8 , 1.229998843 + 0.34910407 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	506 %! -0.4 + I * 1. , 1.419103868 + 0.4663848201 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	507 %! -0.4 + I * 1.2 , 1.666426377 + 0.607877235 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	508 %! -0.4 + I * 1.4 , 1.983347336 + 0.7841054404 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	509 %! -0.4 + I * 1.6 , 2.385101684 + 1.01134031 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	510 %! -0.4 + I * 1.8 , 2.89185416 + 1.316448705 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	511 %! -0.4 + I * 2. , 3.529393374 + 1.74670531 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	512 %! -0.2 + I * 0. , 0.9800743122 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	513 %! -0.2 + I * 0.2 , 0.9997019476 + 0.03999835809 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	514 %! -0.2 + I * 0.4 , 1.059453907 + 0.08179712295 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	515 %! -0.2 + I * 0.6 , 1.16200643 + 0.1273503824 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	516 %! -0.2 + I * 0.8 , 1.312066413 + 0.1789585449 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	517 %! -0.2 + I * 1. , 1.516804331 + 0.2395555269 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	518 %! -0.2 + I * 1.2 , 1.786613221 + 0.313189147 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	519 %! -0.2 + I * 1.4 , 2.136422971 + 0.405890925 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	520 %! -0.2 + I * 1.6 , 2.588021972 + 0.527357091 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	521 %! -0.2 + I * 1.8 , 3.174302819 + 0.6944201617 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	522 %! -0.2 + I * 2. , 3.947361147 + 0.9387994989 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	523 %! 0. + I * 0. , 1. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	524 %! 0. + I * 0.2 , 1.020074723 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	525 %! 0. + I * 0.4 , 1.08120563 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	526 %! 0. + I * 0.6 , 1.18619146 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	527 %! 0. + I * 0.8 , 1.339978715 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	528 %! 0. + I * 1. , 1.550164037 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	529 %! 0. + I * 1.2 , 1.827893279 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	530 %! 0. + I * 1.4 , 2.189462954 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	531 %! 0. + I * 1.6 , 2.659259752 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	532 %! 0. + I * 1.8 , 3.275434266 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	533 %! 0. + I * 2. , 4.101632484 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	534 %! 0.2 + I * 0. , 0.9800743122 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	535 %! 0.2 + I * 0.2 , 0.9997019476 - 0.03999835809 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	536 %! 0.2 + I * 0.4 , 1.059453907 - 0.08179712295 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	537 %! 0.2 + I * 0.6 , 1.16200643 - 0.1273503824 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	538 %! 0.2 + I * 0.8 , 1.312066413 - 0.1789585449 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	539 %! 0.2 + I * 1. , 1.516804331 - 0.2395555269 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	540 %! 0.2 + I * 1.2 , 1.786613221 - 0.313189147 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	541 %! 0.2 + I * 1.4 , 2.136422971 - 0.405890925 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	542 %! 0.2 + I * 1.6 , 2.588021972 - 0.527357091 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	543 %! 0.2 + I * 1.8 , 3.174302819 - 0.6944201617 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	544 %! 0.2 + I * 2. , 3.947361147 - 0.9387994989 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	545 %! 0.4 + I * 0. , 0.9211793498 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	546 %! 0.4 + I * 0.2 , 0.9395019377 - 0.07822091534 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	547 %! 0.4 + I * 0.4 , 0.9952345231 - 0.1598950363 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	548 %! 0.4 + I * 0.6 , 1.090715991 - 0.2487465067 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	549 %! 0.4 + I * 0.8 , 1.229998843 - 0.34910407 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	550 %! 0.4 + I * 1. , 1.419103868 - 0.4663848201 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	551 %! 0.4 + I * 1.2 , 1.666426377 - 0.607877235 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	552 %! 0.4 + I * 1.4 , 1.983347336 - 0.7841054404 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	553 %! 0.4 + I * 1.6 , 2.385101684 - 1.01134031 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	554 %! 0.4 + I * 1.8 , 2.89185416 - 1.316448705 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	555 %! 0.4 + I * 2. , 3.529393374 - 1.74670531 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	556 %! 0.6 + I * 0. , 0.8258917445 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	557 %! 0.6 + I * 0.2 , 0.842151698 - 0.1130337928 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	558 %! 0.6 + I * 0.4 , 0.8915487431 - 0.2309124769 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	559 %! 0.6 + I * 0.6 , 0.975948103 - 0.3588102098 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	560 %! 0.6 + I * 0.8 , 1.098499209 - 0.5026234141 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	561 %! 0.6 + I * 1. , 1.263676101 - 0.6695125973 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	562 %! 0.6 + I * 1.2 , 1.477275851 - 0.8687285705 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	563 %! 0.6 + I * 1.4 , 1.746262523 - 1.112955966 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	564 %! 0.6 + I * 1.6 , 2.078179075 - 1.420581466 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	565 %! 0.6 + I * 1.8 , 2.479425208 - 1.819580713 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	566 %! 0.6 + I * 2. , 2.950586798 - 2.354077344 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	567 %! 0.8 + I * 0. , 0.6982891589 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	568 %! 0.8 + I * 0.2 , 0.71187169 - 0.1430549855 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	569 %! 0.8 + I * 0.4 , 0.7530744458 - 0.2920273465 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	570 %! 0.8 + I * 0.6 , 0.8232501212 - 0.4531616768 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	571 %! 0.8 + I * 0.8 , 0.9245978896 - 0.6334016187 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	572 %! 0.8 + I * 1. , 1.060030206 - 0.8408616109 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	573 %! 0.8 + I * 1.2 , 1.232861756 - 1.085475913 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	574 %! 0.8 + I * 1.4 , 1.446126965 - 1.379933558 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	575 %! 0.8 + I * 1.6 , 1.701139468 - 1.741030588 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	576 %! 0.8 + I * 1.8 , 1.994526268 - 2.191509596 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	577 %! 0.8 + I * 2. , 2.312257188 - 2.762051518 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	578 %! 1. + I * 0. , 0.5436738271 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	579 %! 1. + I * 0.2 , 0.5541219664 - 0.1672121517 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	580 %! 1. + I * 0.4 , 0.5857703552 - 0.3410940893 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	581 %! 1. + I * 0.6 , 0.6395034233 - 0.5285979063 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	582 %! 1. + I * 0.8 , 0.716688504 - 0.7372552987 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	583 %! 1. + I * 1. , 0.8189576795 - 0.9755037374 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	584 %! 1. + I * 1.2 , 0.9477661951 - 1.253049471 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	585 %! 1. + I * 1.4 , 1.103540657 - 1.581252712 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	586 %! 1. + I * 1.6 , 1.284098214 - 1.973449038 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	587 %! 1. + I * 1.8 , 1.481835651 - 2.4449211 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	588 %! 1. + I * 2. , 1.679032464 - 3.011729224 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	589 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	590 %! DN = [
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	591 %! -1. + I * 0. , 0.9895776106 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	592 %! -1. + I * 0.2 , 0.9893361555 + 0.002756935338 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	593 %! -1. + I * 0.4 , 0.9885716856 + 0.005949639805 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	594 %! -1. + I * 0.6 , 0.9871564855 + 0.01008044183 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	595 %! -1. + I * 0.8 , 0.9848512162 + 0.01579337596 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	596 %! -1. + I * 1. , 0.9812582484 + 0.02396648455 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	597 %! -1. + I * 1.2 , 0.9757399152 + 0.0358288294 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	598 %! -1. + I * 1.4 , 0.9672786056 + 0.0531049859 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	599 %! -1. + I * 1.6 , 0.954237868 + 0.0781744383 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	600 %! -1. + I * 1.8 , 0.933957524 + 0.1141918269 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	601 %! -1. + I * 2. , 0.9020917489 + 0.1650142936 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	602 %! -0.8 + I * 0. , 0.992429635 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	603 %! -0.8 + I * 0.2 , 0.9924147861 + 0.003020708044 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	604 %! -0.8 + I * 0.4 , 0.99236555 + 0.00652359532 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	605 %! -0.8 + I * 0.6 , 0.9922655715 + 0.0110676219 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	606 %! -0.8 + I * 0.8 , 0.9920785856 + 0.01737733806 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	607 %! -0.8 + I * 1. , 0.9917291795 + 0.02645738598 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	608 %! -0.8 + I * 1.2 , 0.9910606387 + 0.03974949378 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	609 %! -0.8 + I * 1.4 , 0.9897435004 + 0.05935252515 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	610 %! -0.8 + I * 1.6 , 0.987077644 + 0.08832675281 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	611 %! -0.8 + I * 1.8 , 0.9815667458 + 0.1310872821 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	612 %! -0.8 + I * 2. , 0.970020127 + 0.1938136793 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	613 %! -0.6 + I * 0. , 0.9953099088 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	614 %! -0.6 + I * 0.2 , 0.995526009 + 0.002814772354 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	615 %! -0.6 + I * 0.4 , 0.9962071136 + 0.006083312292 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	616 %! -0.6 + I * 0.6 , 0.9974557125 + 0.01033463525 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	617 %! -0.6 + I * 0.8 , 0.9994560563 + 0.01626207722 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	618 %! -0.6 + I * 1. , 1.00249312 + 0.02484336286 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	619 %! -0.6 + I * 1.2 , 1.006973922 + 0.0375167093 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	620 %! -0.6 + I * 1.4 , 1.013436509 + 0.05645315628 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	621 %! -0.6 + I * 1.6 , 1.022504295 + 0.08499262247 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	622 %! -0.6 + I * 1.8 , 1.034670023 + 0.1283564595 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	623 %! -0.6 + I * 2. , 1.049599899 + 0.194806122 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	624 %! -0.4 + I * 0. , 0.9977686897 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	625 %! -0.4 + I * 0.2 , 0.9981836165 + 0.002167241934 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	626 %! -0.4 + I * 0.4 , 0.9994946045 + 0.004686808612 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	627 %! -0.4 + I * 0.6 , 1.001910789 + 0.00797144174 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	628 %! -0.4 + I * 0.8 , 1.005817375 + 0.01256717724 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	629 %! -0.4 + I * 1. , 1.011836374 + 0.01925509038 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	630 %! -0.4 + I * 1.2 , 1.020923572 + 0.02920828367 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	631 %! -0.4 + I * 1.4 , 1.034513743 + 0.04425213602 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	632 %! -0.4 + I * 1.6 , 1.054725746 + 0.06732276244 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	633 %! -0.4 + I * 1.8 , 1.08462027 + 0.1033236812 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	634 %! -0.4 + I * 2. , 1.128407402 + 0.1608240664 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	635 %! -0.2 + I * 0. , 0.9994191176 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	636 %! -0.2 + I * 0.2 , 0.9999683719 + 0.001177128019 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	637 %! -0.2 + I * 0.4 , 1.001705496 + 0.00254669712 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	638 %! -0.2 + I * 0.6 , 1.004913944 + 0.004334880912 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	639 %! -0.2 + I * 0.8 , 1.010120575 + 0.006842775622 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	640 %! -0.2 + I * 1. , 1.018189543 + 0.01050520136 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	641 %! -0.2 + I * 1.2 , 1.030482479 + 0.01598431001 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	642 %! -0.2 + I * 1.4 , 1.049126108 + 0.02433134655 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	643 %! -0.2 + I * 1.6 , 1.077466003 + 0.0372877718 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	644 %! -0.2 + I * 1.8 , 1.120863308 + 0.05789156398 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	645 %! -0.2 + I * 2. , 1.188162088 + 0.09181238708 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	646 %! 0. + I * 0. , 1. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	647 %! 0. + I * 0.2 , 1.000596698 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	648 %! 0. + I * 0.4 , 1.002484444 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	649 %! 0. + I * 0.6 , 1.005973379 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	650 %! 0. + I * 0.8 , 1.011641536 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	651 %! 0. + I * 1. , 1.020441432 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	652 %! 0. + I * 1.2 , 1.033885057 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	653 %! 0. + I * 1.4 , 1.054361188 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	654 %! 0. + I * 1.6 , 1.085694733 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	655 %! 0. + I * 1.8 , 1.134186672 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	656 %! 0. + I * 2. , 1.210701071 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	657 %! 0.2 + I * 0. , 0.9994191176 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	658 %! 0.2 + I * 0.2 , 0.9999683719 - 0.001177128019 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	659 %! 0.2 + I * 0.4 , 1.001705496 - 0.00254669712 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	660 %! 0.2 + I * 0.6 , 1.004913944 - 0.004334880912 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	661 %! 0.2 + I * 0.8 , 1.010120575 - 0.006842775622 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	662 %! 0.2 + I * 1. , 1.018189543 - 0.01050520136 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	663 %! 0.2 + I * 1.2 , 1.030482479 - 0.01598431001 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	664 %! 0.2 + I * 1.4 , 1.049126108 - 0.02433134655 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	665 %! 0.2 + I * 1.6 , 1.077466003 - 0.0372877718 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	666 %! 0.2 + I * 1.8 , 1.120863308 - 0.05789156398 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	667 %! 0.2 + I * 2. , 1.188162088 - 0.09181238708 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	668 %! 0.4 + I * 0. , 0.9977686897 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	669 %! 0.4 + I * 0.2 , 0.9981836165 - 0.002167241934 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	670 %! 0.4 + I * 0.4 , 0.9994946045 - 0.004686808612 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	671 %! 0.4 + I * 0.6 , 1.001910789 - 0.00797144174 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	672 %! 0.4 + I * 0.8 , 1.005817375 - 0.01256717724 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	673 %! 0.4 + I * 1. , 1.011836374 - 0.01925509038 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	674 %! 0.4 + I * 1.2 , 1.020923572 - 0.02920828367 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	675 %! 0.4 + I * 1.4 , 1.034513743 - 0.04425213602 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	676 %! 0.4 + I * 1.6 , 1.054725746 - 0.06732276244 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	677 %! 0.4 + I * 1.8 , 1.08462027 - 0.1033236812 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	678 %! 0.4 + I * 2. , 1.128407402 - 0.1608240664 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	679 %! 0.6 + I * 0. , 0.9953099088 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	680 %! 0.6 + I * 0.2 , 0.995526009 - 0.002814772354 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	681 %! 0.6 + I * 0.4 , 0.9962071136 - 0.006083312292 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	682 %! 0.6 + I * 0.6 , 0.9974557125 - 0.01033463525 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	683 %! 0.6 + I * 0.8 , 0.9994560563 - 0.01626207722 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	684 %! 0.6 + I * 1. , 1.00249312 - 0.02484336286 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	685 %! 0.6 + I * 1.2 , 1.006973922 - 0.0375167093 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	686 %! 0.6 + I * 1.4 , 1.013436509 - 0.05645315628 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	687 %! 0.6 + I * 1.6 , 1.022504295 - 0.08499262247 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	688 %! 0.6 + I * 1.8 , 1.034670023 - 0.1283564595 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	689 %! 0.6 + I * 2. , 1.049599899 - 0.194806122 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	690 %! 0.8 + I * 0. , 0.992429635 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	691 %! 0.8 + I * 0.2 , 0.9924147861 - 0.003020708044 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	692 %! 0.8 + I * 0.4 , 0.99236555 - 0.00652359532 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	693 %! 0.8 + I * 0.6 , 0.9922655715 - 0.0110676219 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	694 %! 0.8 + I * 0.8 , 0.9920785856 - 0.01737733806 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	695 %! 0.8 + I * 1. , 0.9917291795 - 0.02645738598 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	696 %! 0.8 + I * 1.2 , 0.9910606387 - 0.03974949378 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	697 %! 0.8 + I * 1.4 , 0.9897435004 - 0.05935252515 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	698 %! 0.8 + I * 1.6 , 0.987077644 - 0.08832675281 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	699 %! 0.8 + I * 1.8 , 0.9815667458 - 0.1310872821 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	700 %! 0.8 + I * 2. , 0.970020127 - 0.1938136793 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	701 %! 1. + I * 0. , 0.9895776106 + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	702 %! 1. + I * 0.2 , 0.9893361555 - 0.002756935338 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	703 %! 1. + I * 0.4 , 0.9885716856 - 0.005949639805 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	704 %! 1. + I * 0.6 , 0.9871564855 - 0.01008044183 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	705 %! 1. + I * 0.8 , 0.9848512162 - 0.01579337596 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	706 %! 1. + I * 1. , 0.9812582484 - 0.02396648455 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	707 %! 1. + I * 1.2 , 0.9757399152 - 0.0358288294 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	708 %! 1. + I * 1.4 , 0.9672786056 - 0.0531049859 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	709 %! 1. + I * 1.6 , 0.954237868 - 0.0781744383 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	710 %! 1. + I * 1.8 , 0.933957524 - 0.1141918269 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	711 %! 1. + I * 2. , 0.9020917489 - 0.1650142936 * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	712 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	713 %! tol = 1e-9;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	714 %! for x = 0:10
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	715 %! for y = 0:10
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	716 %! ur = -1 + x * 0.2;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	717 %! ui = y * 0.2;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	718 %! ii = 1 + y + x*11;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	719 %! [sn, cn, dn] = ellipj (ur + I * ui, m);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	720 %! assert (sn, SN(ii, 2), tol);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	721 %! assert (cn, CN(ii, 2), tol);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	722 %! assert (dn, DN(ii, 2), tol);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	723 %! endfor
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	724 %! endfor
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	725
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	726 ## tests taken from test_ellipj.m
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	727 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	728 %! u1 = pi/3; m1 = 0;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	729 %! res1 = [sin(pi/3), cos(pi/3), 1];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	730 %! [sn,cn,dn] = ellipj (u1,m1);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	731 %! assert ([sn,cn,dn], res1, 10*eps);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	732
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	733 %!test
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	734 %! u2 = log (2); m2 = 1;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	735 %! res2 = [ 3/5, 4/5, 4/5 ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	736 %! [sn,cn,dn] = ellipj (u2,m2);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	737 %! assert ([sn,cn,dn], res2, 10*eps);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	738
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	739 %!test
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	740 %! u3 = log (2)*1i; m3 = 0;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	741 %! res3 = [3i/4,5/4,1];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	742 %! [sn,cn,dn] = ellipj (u3,m3);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	743 %! assert ([sn,cn,dn], res3, 10*eps);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	744
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	745 %!test
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	746 %! u4 = -1; m4 = tan (pi/8)^4;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	747 %! res4 = [-0.8392965923,0.5436738271,0.9895776106];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	748 %! [sn,cn,dn] = ellipj (u4, m4);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	749 %! assert ([sn,cn,dn], res4, 1e-10);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	750
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	751 %!test
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	752 %! u5 = -0.2 + 0.4i; m5 = tan (pi/8)^4;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	753 %! res5 = [ -0.2152524522 + 0.402598347i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	754 %! 1.059453907 + 0.08179712295i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	755 %! 1.001705496 + 0.00254669712i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	756 %! [sn,cn,dn] = ellipj (u5,m5);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	757 %! assert ([sn,cn,dn], res5, 1e-9);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	758
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	759 %!test
28915 c40a367a84c0 maint: Use Octave convention of space after function name in libinterp/. Rik <rik@octave.org> parents: 28888 diff changeset	760 %! u6 = 0.2 + 0.6i; m6 = tan (pi/8)^4;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	761 %! res6 = [ 0.2369100139 + 0.624633635i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	762 %! 1.16200643 - 0.1273503824i, ...
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	763 %! 1.004913944 - 0.004334880912i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	764 %! [sn,cn,dn] = ellipj (u6,m6);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	765 %! assert ([sn,cn,dn], res6, 1e-8);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	766
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	767 %!test
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	768 %! u7 = 0.8 + 0.8i; m7 = tan (pi/8)^4;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	769 %! res7 = [0.9588386397 + 0.6107824358i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	770 %! 0.9245978896 - 0.6334016187i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	771 %! 0.9920785856 - 0.01737733806i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	772 %! [sn,cn,dn] = ellipj (u7,m7);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	773 %! assert ([sn,cn,dn], res7, 1e-10);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	774
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	775 %!test
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	776 %! u = [0,pi/6,pi/4,pi/2]; m=0;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	777 %! res = [0,1/2,1/sqrt(2),1;1,cos(pi/6),1/sqrt(2),0;1,1,1,1];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	778 %! [sn,cn,dn] = ellipj (u,m);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	779 %! assert ([sn;cn;dn], res, 100*eps);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	780 %! [sn,cn,dn] = ellipj (u',0);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	781 %! assert ([sn,cn,dn], res', 100*eps);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	782
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	783 ## FIXME: need to check [real,complex]x[scalar,rowvec,colvec,matrix]x[u,m]
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	784
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	785 ## One test for u column vector x m row vector
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	786 %!test
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	787 %! u = [0,pi/6,pi/4,pi/2]'; m = [0 0 0 0];
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	788 %! res = [0,1/2,1/sqrt(2),1;1,cos(pi/6),1/sqrt(2),0;1,1,1,1]';
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	789 %! [sn,cn,dn] = ellipj (u,m);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	790 %! assert (sn, repmat (res(:,1), [1,4]), 100*eps);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	791 %! assert (cn, repmat (res(:,2), [1,4]), 100*eps);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	792 %! assert (dn, repmat (res(:,3), [1,4]), 100*eps);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	793
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	794 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	795 %! ## Test Jacobi elliptic functions
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	796 %! ## against "exact" solution from Mathematica 3.0
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	797 %! ## David Billinghurst <David.Billinghurst@riotinto.com>
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	798 %! ## 1 February 2001
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	799 %! u = [ 0.25; 0.25; 0.20; 0.20; 0.672; 0.5];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	800 %! m = [ 0.0; 1.0; 0.19; 0.81; 0.36; 0.9999999999];
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	801 %! S = [ sin(0.25);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	802 %! tanh(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	803 %! 0.19842311013970879516;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	804 %! 0.19762082367187648571;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	805 %! 0.6095196917919021945;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	806 %! 0.4621171572617320908 ];
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	807 %! C = [ cos(0.25);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	808 %! sech(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	809 %! 0.9801164570409401062;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	810 %! 0.9802785369736752032;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	811 %! 0.7927709286533560550;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	812 %! 0.8868188839691764094 ];
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	813 %! D = [ 1.0;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	814 %! sech(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	815 %! 0.9962526643271134302;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	816 %! 0.9840560289645665155;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	817 %! 0.9307281387786906491;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	818 %! 0.8868188839812167635 ];
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	819 %! [sn,cn,dn] = ellipj (u,m);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	820 %! assert (sn, S, 8*eps);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	821 %! assert (cn, C, 8*eps);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	822 %! assert (dn, D, 8*eps);
16585 1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	823
23573 1b4f4ec53b4a use new script to tag fixed bugs in tests John W. Eaton <jwe@octave.org> parents: 23572 diff changeset	824 %!test <*43344>
22489 93ea313301f9 test: Add bug ids (<#####>) to BIST tests. Rik <rik@octave.org> parents: 22323 diff changeset	825 %! ## Test continuity of dn when cn is near zero
19200 068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344) Mike Miller <mtmiller@ieee.org> parents: 19040 diff changeset	826 %! m = 0.5;
068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344) Mike Miller <mtmiller@ieee.org> parents: 19040 diff changeset	827 %! u = ellipke (0.5);
068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344) Mike Miller <mtmiller@ieee.org> parents: 19040 diff changeset	828 %! x = [-1e-3, -1e-12, 0, 1e-12, 1e-3];
068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344) Mike Miller <mtmiller@ieee.org> parents: 19040 diff changeset	829 %! [~, ~, dn] = ellipj (u + x, m);
068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344) Mike Miller <mtmiller@ieee.org> parents: 19040 diff changeset	830 %! D = 1/sqrt (2) * ones (size (x));
068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344) Mike Miller <mtmiller@ieee.org> parents: 19040 diff changeset	831 %! assert (dn, D, 1e-6);
068a3e51b7b8 ellipj: Fix continuity of dn output when cn is near zero (bug #43344) Mike Miller <mtmiller@ieee.org> parents: 19040 diff changeset	832
16585 1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	833 %!error ellipj ()
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	834 %!error ellipj (1)
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	835 %!error ellipj (1,2,3,4)
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	836 %!warning <required value 0 <= M <= 1> ellipj (1,2);
21581 6fab85c1538f maint: Follow Octave conventions for use of semicolon in BIST tests. Rik <rik@octave.org> parents: 21301 diff changeset	837 ## FIXME: errors commented out until lasterr() truly returns the last error.
20711 7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	838 %!#error <M must be a scalar or matrix> ellipj (1, "1")
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	839 %!#error <U must be a scalar or matrix> ellipj ("1", 1)
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	840 %!#error <U must be a scalar or matrix> ellipj ({1}, 1)
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	841 %!#error <U must be a scalar or matrix> ellipj ({1, 2}, 1)
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	842 %!#error <M must be a scalar or matrix> ellipj (1, {1, 2})
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	843 %!#error <U must be a scalar or matrix> ellipj ("1", [1, 2])
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	844 %!#error <U must be a scalar or matrix> ellipj ({1}, [1, 2])
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	845 %!#error <U must be a scalar or matrix> ellipj ({1}, [1, 2])
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	846 %!#error <U must be a scalar or matrix> ellipj ("1,2", [1, 2])
7b608fadc663 Make error messages more specific about the variable and problem encountered. Rik <rik@octave.org> parents: 20704 diff changeset	847 %!#error <U must be a scalar or matrix> ellipj ({1, 2}, [1, 2])
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	848 %!error <Invalid size combination for U and M> ellipj ([1:4], [1:3])
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	849 %!error <Invalid size combination for U and M> ellipj (complex (1:4,1:4), [1:3])
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	850
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	851 */
29958 32c3a5805893 move DEFUN and DEFMETHOD functions inside octave namespace John W. Eaton <jwe@octave.org> parents: 29359 diff changeset	852
31605 e88a07dec498 maint: Use macros to begin/end C++ namespaces. Rik <rik@octave.org> parents: 30564 diff changeset	853 OCTAVE_END_NAMESPACE(octave)

Mercurial > octave

annotate libinterp/corefcn/ellipj.cc @ 31605:e88a07dec498 stable