octave: libinterp/corefcn/ellipj.cc annotate

annotate libinterp/corefcn/ellipj.cc @ 17502:578805a293e5

ellipj: Move numerical code into liboctave * lo-specfun.cc, lo-specfun.h (ellipj): New functions, adapted from Fellipj. * ellipj.cc (Fellipj): Call ellipj. (do_ellipj): Delete.

author	Mike Miller <mtmiller@ieee.org>
date	Thu, 26 Sep 2013 21:34:26 -0400
parents	991c7c812e38
children	5b916efea542

rev	line source
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	1 /*
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	2
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	3 Copyright (C) 2013 Leopoldo Cerbaro <redbliss@libero.it>
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	4
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	5 This file is part of Octave.
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	6
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	7 Octave is free software; you can redistribute it and/or modify it
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	8 under the terms of the GNU General Public License as published by the
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	9 Free Software Foundation; either version 3 of the License, or (at your
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	10 option) any later version.
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	11
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	12 Octave is distributed in the hope that it will be useful, but WITHOUT
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	15 for more details.
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	16
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	17 You should have received a copy of the GNU General Public License
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	18 along with Octave; see the file COPYING. If not, see
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	19 <http://www.gnu.org/licenses/>.
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	20
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	21 */
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	22
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	23 #ifdef HAVE_CONFIG_H
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	24 #include <config.h>
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	25 #endif
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	26
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	27 #include "defun.h"
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	28 #include "error.h"
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	29 #include "lo-specfun.h"
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	30
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	31 static void
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	32 gripe_ellipj_arg (const char *arg)
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	33 {
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	34 error ("ellipj: expecting scalar or matrix as %s argument", arg);
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	35 }
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	36
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	37 DEFUN (ellipj, args, nargout,
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	38 "-- texinfo --\n\
16588 4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	39 @deftypefn {Built-in Function} {[@var{sn}, @var{cn}, @var{dn}, @var{err}] =} ellipj (@var{u}, @var{m})\n\
4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	40 @deftypefnx {Built-in Function} {[@var{sn}, @var{cn}, @var{dn}, @var{err}] =} ellipj (@var{u}, @var{m}, @var{tol})\n\
16587 a3fdd6041e64 Fix ellipj, ellipke, and expint docstrings Mike Miller <mtmiller@ieee.org> parents: 16586 diff changeset	41 Compute the Jacobi elliptic functions @var{sn}, @var{cn}, and @var{dn}\n\
a3fdd6041e64 Fix ellipj, ellipke, and expint docstrings Mike Miller <mtmiller@ieee.org> parents: 16586 diff changeset	42 of complex argument @var{u} and real parameter @var{m}.\n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	43 \n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	44 If @var{m} is a scalar, the results are the same size as @var{u}.\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	45 If @var{u} is a scalar, the results are the same size as @var{m}.\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	46 If @var{u} is a column vector and @var{m} is a row vector, the\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	47 results are matrices with @code{length (@var{u})} rows and\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	48 @code{length (@var{m})} columns. Otherwise, @var{u} and\n\
17370 c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	49 @var{m} must conform in size and the results will be the same size as the\n\
c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	50 inputs.\n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	51 \n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	52 The value of @var{u} may be complex.\n\
17370 c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	53 The value of @var{m} must be 0 @leq{} @var{m} @leq{} 1.\n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	54 \n\
17370 c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	55 The optinoal input @var{tol} is currently ignored (@sc{matlab} uses this to\n\
c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	56 allow faster, less accurate approximation).\n\
16588 4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	57 \n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	58 If requested, @var{err} contains the following status information\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	59 and is the same size as the result.\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	60 \n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	61 @enumerate 0\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	62 @item\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	63 Normal return.\n\
16816 12005245b645 doc: Periodic grammarcheck of documentation. Rik <rik@octave.org> parents: 16768 diff changeset	64 \n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	65 @item\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	66 Error---no computation, algorithm termination condition not met,\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	67 return @code{NaN}.\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	68 @end enumerate\n\
17370 c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	69 \n\
c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	70 Reference: Milton Abramowitz and Irene A Stegun,\n\
c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	71 @cite{Handbook of Mathematical Functions}, Chapter 16 (Sections 16.4, 16.13,\n\
c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	72 and 16.15), Dover, 1965.\n\
c7c0dad2f9ac doc: Use Octave citation style for references in ellipj, ellipke. Rik <rik@octave.org> parents: 17308 diff changeset	73 \n\
16587 a3fdd6041e64 Fix ellipj, ellipke, and expint docstrings Mike Miller <mtmiller@ieee.org> parents: 16586 diff changeset	74 @seealso{ellipke}\n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	75 @end deftypefn")
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	76 {
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	77 octave_value_list retval;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	78
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	79 int nargin = args.length ();
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	80
16588 4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	81 if (nargin < 2 \|\| nargin > 3)
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	82 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	83 print_usage ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	84 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	85 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	86
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	87 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	88 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	89
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	90 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	91 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	92 double m = args(1).double_value ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	93
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	94 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	95 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	96 gripe_ellipj_arg ("second");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	97 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	98 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	99
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	100 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	101 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	102 if (u_arg.is_real_type ())
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	103 { // u real, m scalar
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	104 double u = args(0).double_value ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	105
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	106 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	107 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	108 gripe_ellipj_arg ("first");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	109 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	110 }
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	111
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	112 double sn, cn, dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	113 double err = 0;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	114
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	115 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	116
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	117 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	118 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	119 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	120 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	121 retval(0) = sn;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	122 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	123 else
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	124 { // u complex, m scalar
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	125 Complex u = u_arg.complex_value ();
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	126
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	127 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	128 {
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	129 gripe_ellipj_arg ("first");
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	130 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	131 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	132
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	133 Complex sn, cn, dn;
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	134 double err = 0;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	135
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	136 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	137
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	138 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	139 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	140 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	141 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	142 retval(0) = sn;
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 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	145 else
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	146 { // u is matrix, m is scalar
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	147 ComplexNDArray u = u_arg.complex_array_value ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	148
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	149 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	150 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	151 gripe_ellipj_arg ("first");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	152 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	153 }
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 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	156
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	157 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	158 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	159
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	160 const Complex *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	161 Complex *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	162 Complex *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	163 Complex *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	164 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	165 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	166
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	167 for (octave_idx_type i = 0; i < nel; i++)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	168 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	169
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	170 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	171 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	172 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	173 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	174 retval(0) = sn;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	175 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	176 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	177 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	178 {
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	179 NDArray m = args(1).array_value ();
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	180
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	181 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	182 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	183 gripe_ellipj_arg ("second");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	184 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	185 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	186
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	187 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	188
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	189 if (u_arg.is_scalar_type ())
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	190 { // u is scalar, m is array
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	191 if (u_arg.is_real_type ())
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	192 { // u is real scalar, m is array
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	193 double u = u_arg.double_value ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	194
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	195 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	196 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	197 gripe_ellipj_arg ("first");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	198 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	199 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	200
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	201 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	202 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	203
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	204 const double *pm = m.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	205 double *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	206 double *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	207 double *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	208 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	209 octave_idx_type nel = m.numel ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	210
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	211 for (octave_idx_type i = 0; i < nel; i++)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	212 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	213
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	214 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	215 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	216 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	217 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	218 retval(0) = sn;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	219 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	220 else
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	221 { // u is complex scalar, m is array
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	222 Complex u = u_arg.complex_value ();
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	223
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	224 if (error_state)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	225 {
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	226 gripe_ellipj_arg ("first");
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	227 return retval;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	228 }
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	229
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	230 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	231 NDArray err (sz_m);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	232
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	233 const double *pm = m.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	234 Complex *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	235 Complex *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	236 Complex *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	237 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	238 octave_idx_type nel = m.numel ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	239
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	240 for (octave_idx_type i = 0; i < nel; i++)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	241 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	242
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	243 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	244 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	245 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	246 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	247 retval(0) = sn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	248 }
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	249 }
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	250 else
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	251 { // u is array, m is array
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	252 if (u_arg.is_real_type ())
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	253 { // u is real array, m is array
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	254 NDArray u = u_arg.array_value ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	255
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	256 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	257 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	258 gripe_ellipj_arg ("first");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	259 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	260 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	261
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	262 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	263
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	264 if (sz_u.length () == 2 && sz_m.length () == 2
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	265 && sz_u(1) == 1 && sz_m(0) == 1)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	266 { // u is real column vector, m is row vector
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	267 octave_idx_type ur = sz_u(0);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	268 octave_idx_type mc = sz_m(1);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	269 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	270
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	271 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	272 NDArray err (sz_out);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	273
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	274 const double *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	275 const double *pm = m.data ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	276
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	277 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	278 for (octave_idx_type i = 0; i < ur; i++)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	279 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	280
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	281 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	282 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	283 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	284 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	285 retval(0) = sn;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	286 }
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	287 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	288 {
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	289 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	290 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	291
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	292 const double *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	293 const double *pm = m.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	294 double *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	295 double *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	296 double *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	297 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	298 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	299
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	300 for (octave_idx_type i = 0; i < nel; i++)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	301 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	302
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	303 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	304 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	305 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	306 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	307 retval(0) = sn;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	308 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	309 else
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	310 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	311 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	312 else
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	313 { // u is complex array, m is array
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	314 ComplexNDArray u = u_arg.complex_array_value ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	315
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	316 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	317 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	318 gripe_ellipj_arg ("second");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	319 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	320 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	321
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	322 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	323
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	324 if (sz_u.length () == 2 && sz_m.length () == 2
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	325 && sz_u(1) == 1 && sz_m(0) == 1)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	326 { // u is complex column vector, m is row vector
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	327 octave_idx_type ur = sz_u(0);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	328 octave_idx_type mc = sz_m(1);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	329 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	330
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	331 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	332 NDArray err (sz_out);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	333
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	334 const Complex *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	335 const double *pm = m.data ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	336
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	337 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	338 for (octave_idx_type i = 0; i < ur; i++)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	339 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	340
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	341 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	342 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	343 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	344 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	345 retval(0) = sn;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	346 }
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	347 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	348 {
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	349 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	350 NDArray err (sz_m);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	351
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	352 const Complex *pu = u.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	353 const double *pm = m.data ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	354 Complex *psn = sn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	355 Complex *pcn = cn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	356 Complex *pdn = dn.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	357 double *perr = err.fortran_vec ();
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	358 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	359
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	360 for (octave_idx_type i = 0; i < nel; i++)
17502 578805a293e5 ellipj: Move numerical code into liboctave Mike Miller <mtmiller@ieee.org> parents: 17374 diff changeset	361 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	362
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	363 if (nargout > 3)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	364 retval(3) = err;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	365 retval(2) = dn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	366 retval(1) = cn;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	367 retval(0) = sn;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	368 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	369 else
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	370 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	371 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	372 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	373 } // m matrix
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	374
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	375 return retval;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	376 }
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	377
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	378 /*
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	379 ## demos taken from inst/ellipj.m
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	380
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	381 %!demo
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	382 %! N = 150;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	383 %! # 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	384 %! # 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	385 %! 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	386 %! u = linspace (-20, 20, N);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	387 %! 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	388 %! 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	389 %! [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	390 %!
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	391 %! ## Plotting
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	392 %! data = {sn,cn,dn};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	393 %! dname = {"sn","cn","dn"};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	394 %! for i=1:3
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	395 %! subplot (1,3,i);
16585 1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	396 %! 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	397 %! 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	398 %! 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	399 %! title (dname{i});
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	400 %! endfor
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	401 %! colormap (hot (64));
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	402
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	403 %!demo
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	404 %! N = 200;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	405 %! # 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	406 %! # 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	407 %! 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	408 %! u = linspace (0,20,5);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	409 %! 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	410 %! 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	411 %! [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	412 %!
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	413 %! ## Plotting
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	414 %! data = {sn,cn,dn};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	415 %! dname = {"sn","cn","dn"};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	416 %! for i=1:3
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	417 %! subplot (1,3,i);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	418 %! plot (m, data{i});
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	419 %! title (dname{i});
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	420 %! grid on;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	421 %! endfor
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	422 */
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	423
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	424 /*
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	425 ## 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	426
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	427 %!test
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	428 %! 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	429 %! SN = [
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	430 %! -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	431 %! -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	432 %! -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	433 %! -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	434 %! -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	435 %! -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	436 %! -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	437 %! -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	438 %! -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	439 %! -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	440 %! -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	441 %! -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	442 %! -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	443 %! -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	444 %! -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	445 %! -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	446 %! -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	447 %! -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	448 %! -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	449 %! -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	450 %! -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	451 %! -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	452 %! -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	453 %! -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	454 %! -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	455 %! -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	456 %! -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	457 %! -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	458 %! -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	459 %! -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	460 %! -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	461 %! -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	462 %! -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	463 %! -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	464 %! -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	465 %! -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	466 %! -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	467 %! -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	468 %! -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	469 %! -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	470 %! -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	471 %! -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	472 %! -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	473 %! -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	474 %! -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	475 %! -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	476 %! -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	477 %! -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	478 %! -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	479 %! -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	480 %! -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	481 %! -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	482 %! -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	483 %! -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	484 %! -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	485 %! 0. + I * 0. , 0. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	486 %! 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	487 %! 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	488 %! 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	489 %! 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	490 %! 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	491 %! 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	492 %! 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	493 %! 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	494 %! 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	495 %! 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	496 %! 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	497 %! 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	498 %! 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	499 %! 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	500 %! 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	501 %! 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	502 %! 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	503 %! 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	504 %! 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	505 %! 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	506 %! 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	507 %! 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	508 %! 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	509 %! 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	510 %! 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	511 %! 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	512 %! 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	513 %! 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	514 %! 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	515 %! 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	516 %! 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	517 %! 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	518 %! 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	519 %! 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	520 %! 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	521 %! 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	522 %! 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	523 %! 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	524 %! 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	525 %! 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	526 %! 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	527 %! 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	528 %! 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	529 %! 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	530 %! 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	531 %! 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	532 %! 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	533 %! 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	534 %! 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	535 %! 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	536 %! 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	537 %! 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	538 %! 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	539 %! 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	540 %! 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	541 %! 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	542 %! 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	543 %! 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	544 %! 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	545 %! 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	546 %! 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	547 %! 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	548 %! 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	549 %! 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	550 %! 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	551 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	552 %! CN = [
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	553 %! -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	554 %! -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	555 %! -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	556 %! -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	557 %! -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	558 %! -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	559 %! -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	560 %! -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	561 %! -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	562 %! -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	563 %! -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	564 %! -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	565 %! -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	566 %! -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	567 %! -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	568 %! -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	569 %! -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	570 %! -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	571 %! -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	572 %! -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	573 %! -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	574 %! -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	575 %! -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	576 %! -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	577 %! -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	578 %! -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	579 %! -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	580 %! -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	581 %! -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	582 %! -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	583 %! -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	584 %! -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	585 %! -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	586 %! -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	587 %! -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	588 %! -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	589 %! -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	590 %! -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	591 %! -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	592 %! -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	593 %! -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	594 %! -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	595 %! -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	596 %! -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	597 %! -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	598 %! -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	599 %! -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	600 %! -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	601 %! -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	602 %! -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	603 %! -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	604 %! -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	605 %! -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	606 %! -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	607 %! -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	608 %! 0. + I * 0. , 1. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	609 %! 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	610 %! 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	611 %! 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	612 %! 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	613 %! 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	614 %! 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	615 %! 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	616 %! 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	617 %! 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	618 %! 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	619 %! 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	620 %! 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	621 %! 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	622 %! 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	623 %! 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	624 %! 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	625 %! 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	626 %! 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	627 %! 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	628 %! 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	629 %! 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	630 %! 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	631 %! 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	632 %! 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	633 %! 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	634 %! 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	635 %! 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	636 %! 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	637 %! 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	638 %! 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	639 %! 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	640 %! 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	641 %! 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	642 %! 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	643 %! 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	644 %! 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	645 %! 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	646 %! 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	647 %! 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	648 %! 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	649 %! 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	650 %! 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	651 %! 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	652 %! 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	653 %! 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	654 %! 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	655 %! 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	656 %! 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	657 %! 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	658 %! 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	659 %! 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	660 %! 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	661 %! 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	662 %! 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	663 %! 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	664 %! 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	665 %! 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	666 %! 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	667 %! 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	668 %! 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	669 %! 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	670 %! 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	671 %! 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	672 %! 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	673 %! 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	674 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	675 %! DN = [
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	676 %! -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	677 %! -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	678 %! -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	679 %! -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	680 %! -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	681 %! -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	682 %! -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	683 %! -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	684 %! -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	685 %! -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	686 %! -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	687 %! -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	688 %! -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	689 %! -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	690 %! -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	691 %! -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	692 %! -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	693 %! -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	694 %! -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	695 %! -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	696 %! -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	697 %! -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	698 %! -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	699 %! -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	700 %! -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	701 %! -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	702 %! -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	703 %! -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	704 %! -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	705 %! -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	706 %! -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	707 %! -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	708 %! -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	709 %! -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	710 %! -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	711 %! -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	712 %! -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	713 %! -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	714 %! -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	715 %! -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	716 %! -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	717 %! -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	718 %! -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	719 %! -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	720 %! -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	721 %! -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	722 %! -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	723 %! -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	724 %! -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	725 %! -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	726 %! -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	727 %! -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	728 %! -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	729 %! -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	730 %! -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	731 %! 0. + I * 0. , 1. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	732 %! 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	733 %! 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	734 %! 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	735 %! 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	736 %! 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	737 %! 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	738 %! 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	739 %! 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	740 %! 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	741 %! 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	742 %! 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	743 %! 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	744 %! 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	745 %! 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	746 %! 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	747 %! 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	748 %! 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	749 %! 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	750 %! 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	751 %! 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	752 %! 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	753 %! 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	754 %! 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	755 %! 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	756 %! 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	757 %! 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	758 %! 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	759 %! 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	760 %! 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	761 %! 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	762 %! 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	763 %! 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	764 %! 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	765 %! 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	766 %! 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	767 %! 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	768 %! 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	769 %! 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	770 %! 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	771 %! 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	772 %! 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	773 %! 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	774 %! 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	775 %! 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	776 %! 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	777 %! 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	778 %! 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	779 %! 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	780 %! 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	781 %! 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	782 %! 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	783 %! 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	784 %! 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	785 %! 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	786 %! 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	787 %! 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	788 %! 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	789 %! 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	790 %! 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	791 %! 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	792 %! 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	793 %! 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	794 %! 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	795 %! 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	796 %! 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	797 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	798 %! tol = 1e-9;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	799 %! for x = 0:10
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	800 %! for y = 0:10
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	801 %! ur = -1 + x * 0.2;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	802 %! ui = y * 0.2;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	803 %! ii = 1 + y + x*11;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	804 %! [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	805 %! assert (sn, SN(ii, 2), tol);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	806 %! assert (cn, CN(ii, 2), tol);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	807 %! 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	808 %! endfor
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	809 %! endfor
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	810
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	811 ## tests taken from test_ellipj.m
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	812 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	813 %! u1 = pi/3; m1 = 0;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	814 %! 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	815 %! [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	816 %! 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	817
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	818 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	819 %! u2 = log(2); m2 = 1;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	820 %! 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	821 %! [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	822 %! 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	823
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	824 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	825 %! u3 = log(2)*1i; m3 = 0;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	826 %! 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	827 %! [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	828 %! 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	829
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	830 %!test
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	831 %! 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	832 %! 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	833 %! [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	834 %! 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	835
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	836 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	837 %! u5 = -0.2 + 0.4i; m5 = tan(pi/8)^4;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	838 %! res5 = [ -0.2152524522 + 0.402598347i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	839 %! 1.059453907 + 0.08179712295i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	840 %! 1.001705496 + 0.00254669712i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	841 %! [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	842 %! 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	843
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	844 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	845 %! u6 = 0.2 + 0.6i; m6 = tan(pi/8)^4;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	846 %! res6 = [ 0.2369100139 + 0.624633635i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	847 %! 1.16200643 - 0.1273503824i, ...
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	848 %! 1.004913944 - 0.004334880912i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	849 %! [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	850 %! 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	851
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	852 %!test
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	853 %! 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	854 %! res7 = [0.9588386397 + 0.6107824358i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	855 %! 0.9245978896 - 0.6334016187i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	856 %! 0.9920785856 - 0.01737733806i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	857 %! [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	858 %! 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	859
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	860 %!test
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	861 %! 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	862 %! 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	863 %! [sn,cn,dn] = ellipj (u,m);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	864 %! 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	865 %! [sn,cn,dn] = ellipj (u',0);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	866 %! assert ([sn,cn,dn], res', 100*eps);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	867
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	868 ## 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	869
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	870 ## 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	871 %!test
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	872 %! 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	873 %! 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	874 %! [sn,cn,dn] = ellipj (u,m);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	875 %! 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	876 %! 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	877 %! 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	878
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	879 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	880 %! ## Test Jacobi elliptic functions
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	881 %! ## 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	882 %! ## David Billinghurst <David.Billinghurst@riotinto.com>
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	883 %! ## 1 February 2001
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	884 %! 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	885 %! 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	886 %! S = [ sin(0.25);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	887 %! tanh(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	888 %! 0.19842311013970879516;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	889 %! 0.19762082367187648571;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	890 %! 0.6095196917919021945;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	891 %! 0.4621171572617320908 ];
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	892 %! C = [ cos(0.25);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	893 %! sech(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	894 %! 0.9801164570409401062;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	895 %! 0.9802785369736752032;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	896 %! 0.7927709286533560550;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	897 %! 0.8868188839691764094 ];
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	898 %! D = [ 1.0;
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	899 %! sech(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	900 %! 0.9962526643271134302;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	901 %! 0.9840560289645665155;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	902 %! 0.9307281387786906491;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	903 %! 0.8868188839812167635 ];
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	904 %! [sn,cn,dn] = ellipj (u,m);
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	905 %! assert (sn, S, 8*eps);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	906 %! assert (cn, C, 8*eps);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	907 %! 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	908
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	909 %!error ellipj ()
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	910 %!error ellipj (1)
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	911 %!error ellipj (1,2,3,4)
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	912 %!warning <expecting 0 <= M <= 1> ellipj (1,2);
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	913 ## FIXME: errors commented out untill lasterr() truly returns the last error.
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	914 %!#error <expecting scalar or matrix as second argument> ellipj (1, "1")
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	915 %!#error <expecting scalar or matrix as first argument> ellipj ("1", 1)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	916 %!#error <expecting scalar or matrix as first argument> ellipj ({1}, 1)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	917 %!#error <expecting scalar or matrix as first argument> ellipj ({1, 2}, 1)
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	918 %!#error <expecting scalar or matrix as second argument> ellipj (1, {1, 2})
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	919 %!#error <expecting scalar or matrix as first argument> ellipj ("1", [1, 2])
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	920 %!#error <expecting scalar or matrix as first argument> ellipj ({1}, [1, 2])
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	921 %!#error <expecting scalar or matrix as first argument> ellipj ({1}, [1, 2])
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	922 %!#error <expecting scalar or matrix as first argument> ellipj ("1,2", [1, 2])
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	923 %!#error <expecting scalar or matrix as first argument> ellipj ({1, 2}, [1, 2])
991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	924 %!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	925 %!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	926
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	927 */
17374 991c7c812e38 Overhaul ellipj function to support NDArrays (bug #38874). Rik <rik@octave.org> parents: 17370 diff changeset	928

Mercurial > octave

annotate libinterp/corefcn/ellipj.cc @ 17502:578805a293e5