octave: libinterp/corefcn/ellipj.cc annotate

annotate libinterp/corefcn/ellipj.cc @ 17308:5a6caf617f56

ellipj.cc: Use Octave coding conventions for %!demos and %!tests. * libinterp/corefcn/ellipj.cc: Use Octave coding conventions for %!demos and %!tests.

author	Rik <rik@octave.org>
date	Wed, 21 Aug 2013 17:17:16 -0700
parents	12005245b645
children	c7c0dad2f9ac

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
16768 e2de3c8882be copyright notice fixes John W. Eaton <jwe@octave.org> parents: 16588 diff changeset	3 // Author: 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"
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	29 #include "lo-ieee.h"
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
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	37 static void
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	38 sncndn (double u, double m, double& sn, double& cn, double& dn, double& err)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	39 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	40 static const int Nmax = 16;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	41 double m1, t=0, si_u, co_u, se_u, ta_u, b, c[Nmax], a[Nmax], phi;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	42 int n, Nn, ii;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	43
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	44 if (m < 0 \|\| m > 1)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	45 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	46 warning ("ellipj: expecting 0 <= m <= 1"); /* -lc- */
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	47 sn = cn = dn = lo_ieee_nan_value ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	48 return;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	49 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	50
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	51 double sqrt_eps = sqrt (std::numeric_limits<double>::epsilon ());
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	52 if (m < sqrt_eps)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	53 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	54 /* # For small m, ( Abramowitz and Stegun, Section 16.13 ) */
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	55 si_u = sin (u);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	56 co_u = cos (u);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	57 t = 0.25m(u - si_u*co_u);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	58 sn = si_u - t * co_u;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	59 cn = co_u + t * si_u;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	60 dn = 1 - 0.5msi_u*si_u;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	61 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	62 else if ((1 - m) < sqrt_eps)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	63 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	64 /* For m1 = (1-m) small ( Abramowitz and Stegun, Section 16.15 ) */
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	65 m1 = 1 - m;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	66 si_u = sinh (u);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	67 co_u = cosh (u);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	68 ta_u = tanh (u);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	69 se_u = 1/co_u;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	70 sn = ta_u + 0.25m1(si_uco_u - u)se_u*se_u;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	71 cn = se_u - 0.25m1(si_uco_u - u)ta_u*se_u;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	72 dn = se_u + 0.25m1(si_uco_u + u)ta_u*se_u;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	73 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	74 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	75 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	76 /*
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	77 // Arithmetic-Geometric Mean (AGM) algorithm
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	78 // ( Abramowitz and Stegun, Section 16.4 )
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	79 */
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	80
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	81 a[0] = 1;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	82 b = sqrt (1 - m);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	83 c[0] = sqrt (m);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	84 for (n = 1; n < Nmax; ++n)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	85 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	86 a[n] = (a[n - 1] + b)/2;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	87 c[n] = (a[n - 1] - b)/2;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	88 b = sqrt (a[n - 1]*b);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	89 if (c[n]/a[n] < std::numeric_limits<double>::epsilon ()) break;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	90 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	91 if (n >= Nmax - 1)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	92 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	93 err = 1;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	94 return;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	95 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	96 Nn = n;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	97 for (ii = 1; n > 0; ii = ii*2, --n) ; // ii = pow(2,Nn)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	98 phi = iia[Nn]u;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	99 for (n = Nn; n > 0; --n)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	100 {
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	101 t = phi;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	102 phi = (asin ((c[n]/a[n])* sin (phi)) + phi)/2;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	103 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	104 sn = sin (phi);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	105 cn = cos (phi);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	106 dn = cn/cos (t - phi);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	107 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	108 }
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	109
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	110 static void
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	111 sncndn (Complex& u, double m, Complex& sn, Complex& cn, Complex& dn,
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	112 double& err)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	113 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	114 double m1 = 1 - m, ss1, cc1, dd1;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	115
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	116 sncndn (imag (u), m1, ss1, cc1, dd1, err);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	117 if (real (u) == 0)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	118 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	119 /* u is pure imag: Jacoby imag. transf. */
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	120 sn = Complex (0, ss1/cc1);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	121 cn = 1/cc1; // cn.imag = 0;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	122 dn = dd1/cc1; // dn.imag = 0;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	123 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	124 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	125 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	126 /* u is generic complex */
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	127 double ss, cc, dd, ddd;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	128
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	129 sncndn (real (u), m, ss, cc, dd, err);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	130 ddd = cc1cc1 + mssssss1*ss1;
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	131 sn = Complex (ssdd1/ddd, ccddss1cc1/ddd);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	132 cn = Complex (cccc1/ddd, -ssddss1dd1/ddd);
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	133 dn = Complex (ddcc1dd1/ddd, -msscc*ss1/ddd);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	134 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	135 }
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	136
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	137 DEFUN (ellipj, args, nargout,
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	138 "-- texinfo --\n\
16588 4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	139 @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	140 @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	141 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	142 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	143 \n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	144 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	145 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	146 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	147 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	148 @code{length (@var{m})} columns. Otherwise, @var{u} and\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	149 @var{m} must conform and the results will be the same size.\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	150 \n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	151 The value of @var{u} may be complex.\n\
16816 12005245b645 doc: Periodic grammarcheck of documentation. Rik <rik@octave.org> parents: 16768 diff changeset	152 The value of @var{m} must be 0 @leq{} m @leq{} 1.\n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	153 \n\
16816 12005245b645 doc: Periodic grammarcheck of documentation. Rik <rik@octave.org> parents: 16768 diff changeset	154 @var{tol} is currently ignored (@sc{matlab} uses this to allow faster,\n\
16588 4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	155 less accurate approximation).\n\
4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	156 \n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	157 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	158 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	159 \n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	160 @enumerate 0\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	161 @item\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	162 Normal return.\n\
16816 12005245b645 doc: Periodic grammarcheck of documentation. Rik <rik@octave.org> parents: 16768 diff changeset	163 \n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	164 @item\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	165 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	166 return @code{NaN}.\n\
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	167 @end enumerate\n\
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	168 Ref: Abramowitz, Milton and Stegun, Irene A\n\
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	169 Handbook of Mathematical Functions, Dover, 1965\n\
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	170 Chapter 16 (Sections 16.4, 16.13 and 16.15)\n\
16587 a3fdd6041e64 Fix ellipj, ellipke, and expint docstrings Mike Miller <mtmiller@ieee.org> parents: 16586 diff changeset	171 @seealso{ellipke}\n\
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	172 @end deftypefn")
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	173 {
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	174 octave_value_list retval;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	175
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	176 int nargin = args.length ();
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	177
16588 4d2b0104ee05 Add argument to ellipj for Matlab compatibility Mike Miller <mtmiller@ieee.org> parents: 16587 diff changeset	178 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	179 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	180 print_usage ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	181 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	182 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	183
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	184 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	185 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	186
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	187 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	188 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	189 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	190
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	191 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	192 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	193 gripe_ellipj_arg ("second");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	194 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	195 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	196
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	197 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	198 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	199 if (u_arg.is_real_type ())
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	200 { // u real
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	201 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	202
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	203 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	204 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	205 gripe_ellipj_arg ("first");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	206 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	207 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	208 double sn, cn, dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	209 double err = 0;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	210
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	211 sncndn (u, m, sn, cn, dn, err);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	212 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	213 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	214 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	215 if (nargout > 3) retval(3) = err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	216 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	217 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	218 { // u complex
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	219 Complex u = u_arg.complex_value ();
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	220
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	221 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	222 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	223 gripe_ellipj_arg ("second");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	224 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	225 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	226
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	227 Complex sn, cn, dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	228 double err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	229
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	230 sncndn (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	231
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	232 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	233 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	234 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	235 if (nargout > 3) retval(3) = err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	236 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	237 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	238 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	239 { /* u is matrix ( m is scalar ) */
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	240 ComplexMatrix u = u_arg.complex_matrix_value ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	241
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	242 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	243 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	244 gripe_ellipj_arg ("first");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	245 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	246 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	247
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	248 octave_idx_type nr = u.rows ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	249 octave_idx_type nc = u.cols ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	250
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	251 ComplexMatrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	252 Matrix err (nr, nc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	253
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	254 for (octave_idx_type j = 0; j < nc; j++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	255 for (octave_idx_type i = 0; i < nr; i++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	256 sncndn (u(i,j), m, 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	257
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	258 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	259 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	260 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	261 if (nargout > 3) retval(3) = err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	262 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	263 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	264 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	265 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	266 Matrix m = args(1).matrix_value ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	267
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	268 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	269 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	270 gripe_ellipj_arg ("second");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	271 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	272 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	273
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	274 octave_idx_type mr = m.rows ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	275 octave_idx_type mc = m.cols ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	276
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	277 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	278 { /* u is scalar */
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	279 octave_idx_type nr = m.rows ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	280 octave_idx_type nc = m.cols ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	281 Matrix err (nr, nc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	282
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	283 if (u_arg.is_real_type ())
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	284 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	285 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	286
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	287 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	288 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	289 gripe_ellipj_arg ("first");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	290 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	291 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	292
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	293 Matrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	294 for (octave_idx_type j = 0; j < nc; j++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	295 for (octave_idx_type i = 0; i < nr; i++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	296 sncndn (u, m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	297
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	298 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	299 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	300 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	301 if (nargout > 3) retval(3) = err;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	302 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	303 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	304 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	305 Complex u = u_arg.complex_value ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	306 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	307 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	308 gripe_ellipj_arg ("first");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	309 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	310 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	311
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	312 ComplexMatrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	313 for (octave_idx_type j = 0; j < nc; j++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	314 for (octave_idx_type i = 0; i < nr; i++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	315 sncndn (u, m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	316 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	317 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	318 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	319 if (nargout > 3) retval(3) = err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	320 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	321 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	322 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	323 { // u is matrix (m is matrix)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	324 if (u_arg.is_real_type ())
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	325 { // u real matrix
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	326
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	327 Matrix u = u_arg.matrix_value ();
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	328 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	329 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	330 gripe_ellipj_arg ("first ");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	331 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	332 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	333
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	334 octave_idx_type ur = u.rows ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	335 octave_idx_type uc = u.cols ();
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 if (mr == 1 && uc == 1)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	338 { // u column, m row
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	339 RowVector rm = m.row (0);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	340 ColumnVector cu = u.column (0);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	341
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	342 Matrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	343 Matrix err (ur,mc);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	344
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	345 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	346 for (octave_idx_type i = 0; i < ur; i++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	347 sncndn (cu(i), rm(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	348
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	349 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	350 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	351 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	352 if (nargout > 3) retval(3) = err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	353 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	354 else if (ur == mr && uc == mc)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	355 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	356 Matrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	357 Matrix err (ur,mc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	358
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	359 for (octave_idx_type j = 0; j < uc; j++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	360 for (octave_idx_type i = 0; i < ur; i++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	361 sncndn (u(i,j), m(i,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	362
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	363 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	364 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	365 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	366 if (nargout > 3) retval(3) = err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	367 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	368 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	369 error ("u m invalid");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	370 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	371 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	372 { // u complex matrix
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	373 ComplexMatrix u = u_arg.complex_matrix_value ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	374 if (error_state)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	375 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	376 gripe_ellipj_arg ("second");
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	377 return retval;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	378 }
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	379
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	380 octave_idx_type ur = u.rows ();
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	381 octave_idx_type uc = u.cols ();
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	382
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	383 if (mr == 1 && uc == 1)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	384 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	385 RowVector rm = m.row (0);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	386 ComplexColumnVector cu = u.column (0);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	387
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	388 ComplexMatrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	389 Matrix err (ur,mc);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	390
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	391 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	392 for (octave_idx_type i = 0; i < ur; i++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	393 sncndn (cu(i), rm(j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	394
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	395 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	396 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	397 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	398 if (nargout > 3) retval(3) = err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	399 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	400 else if (ur == mr && uc == mc)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	401 {
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	402 ComplexMatrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	403 Matrix err (ur,mc);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	404
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	405 for (octave_idx_type j = 0; j < uc; j++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	406 for (octave_idx_type i = 0; i < ur; i++)
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	407 sncndn (u(i,j), m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	408
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	409 retval (0) = sn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	410 retval (1) = cn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	411 retval (2) = dn;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	412 if (nargout > 3) retval(3) = err;
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	413 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	414 else
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	415 error ("u m invalid");
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	416 }
16586 f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	417 }
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	418 } // m matrix
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	419
f423873d3275 Style fixes for ellipj.cc, ellipke.m, and expint.m Mike Miller <mtmiller@ieee.org> parents: 16585 diff changeset	420 return retval;
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	421 }
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 ## demos taken from inst/ellipj.m
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	425
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	426 %!demo
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	427 %! N = 150;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	428 %! # 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	429 %! # 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	430 %! 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	431 %! u = linspace (-20, 20, N);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	432 %! 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	433 %! 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	434 %! [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	435 %!
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	436 %! ## Plotting
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	437 %! c = colormap (hot (64));
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	438 %! data = {sn,cn,dn};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	439 %! dname = {"sn","cn","dn"};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	440 %! for i=1:3
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	441 %! subplot (1,3,i);
16585 1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	442 %! 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	443 %! 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	444 %! 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	445 %! title (dname{i});
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	446 %! endfor
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	447 %! colormap (c);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	448
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	449 %!demo
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	450 %! N = 200;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	451 %! # 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	452 %! # 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	453 %! 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	454 %! u = linspace (0,20,5);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	455 %! 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	456 %! 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	457 %! [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	458 %!
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	459 %! ## Plotting
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	460 %! data = {sn,cn,dn};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	461 %! dname = {"sn","cn","dn"};
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	462 %! for i=1:3
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	463 %! subplot (1,3,i);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	464 %! plot (m, data{i});
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	465 %! title (dname{i});
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	466 %! grid on;
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	467 %! endfor
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	468 */
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	469
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	470 /*
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	471 ## 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	472
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	473 %!test
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	474 %! 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	475 %! SN = [
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	476 %! -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	477 %! -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	478 %! -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	479 %! -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	480 %! -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	481 %! -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	482 %! -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	483 %! -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	484 %! -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	485 %! -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	486 %! -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	487 %! -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	488 %! -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	489 %! -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	490 %! -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	491 %! -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	492 %! -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	493 %! -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	494 %! -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	495 %! -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	496 %! -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	497 %! -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	498 %! -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	499 %! -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	500 %! -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	501 %! -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	502 %! -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	503 %! -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	504 %! -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	505 %! -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	506 %! -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	507 %! -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	508 %! -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	509 %! -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	510 %! -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	511 %! -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	512 %! -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	513 %! -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	514 %! -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	515 %! -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	516 %! -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	517 %! -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	518 %! -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	519 %! -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	520 %! -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	521 %! -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	522 %! -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	523 %! -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	524 %! -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	525 %! -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	526 %! -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	527 %! -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	528 %! -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	529 %! -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	530 %! -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	531 %! 0. + I * 0. , 0. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	532 %! 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	533 %! 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	534 %! 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	535 %! 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	536 %! 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	537 %! 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	538 %! 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	539 %! 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	540 %! 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	541 %! 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	542 %! 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	543 %! 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	544 %! 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	545 %! 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	546 %! 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	547 %! 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	548 %! 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	549 %! 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	550 %! 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	551 %! 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	552 %! 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	553 %! 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	554 %! 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	555 %! 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	556 %! 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	557 %! 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	558 %! 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	559 %! 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	560 %! 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	561 %! 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	562 %! 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	563 %! 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	564 %! 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	565 %! 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	566 %! 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	567 %! 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	568 %! 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	569 %! 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	570 %! 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	571 %! 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	572 %! 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	573 %! 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	574 %! 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	575 %! 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	576 %! 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	577 %! 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	578 %! 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	579 %! 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	580 %! 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	581 %! 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	582 %! 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	583 %! 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	584 %! 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	585 %! 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	586 %! 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	587 %! 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	588 %! 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	589 %! 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	590 %! 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	591 %! 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	592 %! 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	593 %! 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	594 %! 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	595 %! 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	596 %! 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	597 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	598 %! CN = [
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	599 %! -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	600 %! -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	601 %! -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	602 %! -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	603 %! -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	604 %! -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	605 %! -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	606 %! -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	607 %! -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	608 %! -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	609 %! -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	610 %! -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	611 %! -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	612 %! -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	613 %! -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	614 %! -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	615 %! -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	616 %! -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	617 %! -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	618 %! -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	619 %! -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	620 %! -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	621 %! -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	622 %! -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	623 %! -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	624 %! -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	625 %! -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	626 %! -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	627 %! -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	628 %! -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	629 %! -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	630 %! -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	631 %! -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	632 %! -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	633 %! -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	634 %! -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	635 %! -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	636 %! -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	637 %! -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	638 %! -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	639 %! -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	640 %! -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	641 %! -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	642 %! -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	643 %! -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	644 %! -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	645 %! -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	646 %! -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	647 %! -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	648 %! -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	649 %! -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	650 %! -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	651 %! -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	652 %! -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	653 %! -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	654 %! 0. + I * 0. , 1. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	655 %! 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	656 %! 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	657 %! 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	658 %! 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	659 %! 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	660 %! 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	661 %! 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	662 %! 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	663 %! 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	664 %! 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	665 %! 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	666 %! 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	667 %! 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	668 %! 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	669 %! 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	670 %! 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	671 %! 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	672 %! 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	673 %! 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	674 %! 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	675 %! 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	676 %! 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	677 %! 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	678 %! 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	679 %! 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	680 %! 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	681 %! 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	682 %! 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	683 %! 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	684 %! 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	685 %! 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	686 %! 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	687 %! 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	688 %! 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	689 %! 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	690 %! 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	691 %! 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	692 %! 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	693 %! 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	694 %! 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	695 %! 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	696 %! 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	697 %! 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	698 %! 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	699 %! 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	700 %! 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	701 %! 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	702 %! 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	703 %! 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	704 %! 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	705 %! 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	706 %! 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	707 %! 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	708 %! 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	709 %! 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	710 %! 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	711 %! 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	712 %! 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	713 %! 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	714 %! 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	715 %! 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	716 %! 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	717 %! 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	718 %! 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	719 %! 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	720 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	721 %! DN = [
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	722 %! -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	723 %! -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	724 %! -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	725 %! -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	726 %! -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	727 %! -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	728 %! -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	729 %! -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	730 %! -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	731 %! -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	732 %! -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	733 %! -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	734 %! -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	735 %! -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	736 %! -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	737 %! -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	738 %! -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	739 %! -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	740 %! -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	741 %! -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	742 %! -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	743 %! -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	744 %! -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	745 %! -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	746 %! -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	747 %! -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	748 %! -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	749 %! -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	750 %! -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	751 %! -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	752 %! -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	753 %! -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	754 %! -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	755 %! -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	756 %! -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	757 %! -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	758 %! -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	759 %! -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	760 %! -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	761 %! -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	762 %! -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	763 %! -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	764 %! -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	765 %! -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	766 %! -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	767 %! -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	768 %! -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	769 %! -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	770 %! -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	771 %! -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	772 %! -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	773 %! -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	774 %! -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	775 %! -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	776 %! -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	777 %! 0. + I * 0. , 1. + 0. * I
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	778 %! 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	779 %! 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	780 %! 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	781 %! 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	782 %! 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	783 %! 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	784 %! 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	785 %! 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	786 %! 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	787 %! 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	788 %! 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	789 %! 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	790 %! 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	791 %! 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	792 %! 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	793 %! 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	794 %! 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	795 %! 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	796 %! 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	797 %! 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	798 %! 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	799 %! 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	800 %! 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	801 %! 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	802 %! 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	803 %! 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	804 %! 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	805 %! 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	806 %! 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	807 %! 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	808 %! 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	809 %! 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	810 %! 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	811 %! 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	812 %! 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	813 %! 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	814 %! 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	815 %! 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	816 %! 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	817 %! 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	818 %! 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	819 %! 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	820 %! 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	821 %! 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	822 %! 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	823 %! 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	824 %! 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	825 %! 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	826 %! 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	827 %! 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	828 %! 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	829 %! 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	830 %! 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	831 %! 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	832 %! 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	833 %! 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	834 %! 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	835 %! 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	836 %! 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	837 %! 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	838 %! 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	839 %! 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	840 %! 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	841 %! 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	842 %! 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	843 %! ];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	844 %! tol = 1e-9;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	845 %! for x = 0:10
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	846 %! for y = 0:10
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	847 %! ur = -1 + x * 0.2;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	848 %! ui = y * 0.2;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	849 %! ii = 1 + y + x*11;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	850 %! [sn, cn, dn] = ellipj (ur + I * ui, m);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	851 %! assert (SN(ii, 2), sn, tol);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	852 %! assert (CN(ii, 2), cn, tol);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	853 %! assert (DN(ii, 2), dn, tol);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	854 %! endfor
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	855 %! endfor
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	856
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	857 ## tests taken from test_ellipj.m
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	858 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	859 %! u1 = pi/3; m1 = 0;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	860 %! 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	861 %! [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	862 %! 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	863
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	864 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	865 %! u2 = log(2); m2 = 1;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	866 %! 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	867 %! [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	868 %! 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	869
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	870 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	871 %! u3 = log(2)*1i; m3 = 0;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	872 %! 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	873 %! [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	874 %! 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	875
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	876 %!test
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	877 %! 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	878 %! 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	879 %! [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	880 %! 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	881
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	882 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	883 %! 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	884 %! res5 = [ -0.2152524522 + 0.402598347i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	885 %! 1.059453907 + 0.08179712295i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	886 %! 1.001705496 + 0.00254669712i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	887 %! [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	888 %! 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	889
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	890 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	891 %! 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	892 %! res6 = [ 0.2369100139 + 0.624633635i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	893 %! 1.16200643 - 0.1273503824i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	894 %! 1.004913944 - 0.004334880912i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	895 %! [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	896 %! 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	897
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	898 %!test
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	899 %! 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	900 %! res7 = [0.9588386397 + 0.6107824358i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	901 %! 0.9245978896 - 0.6334016187i, ...
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	902 %! 0.9920785856 - 0.01737733806i ];
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	903 %! [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	904 %! 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	905
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	906 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	907 %! u=[0,pi/6,pi/4,pi/2]; m=0;
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	908 %! 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	909 %! [sn,cn,dn] = ellipj (u,m);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	910 %! assert ([sn;cn;dn],res, 100*eps);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	911 %! [sn,cn,dn] = ellipj (u',0);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	912 %! assert ([sn,cn,dn],res', 100*eps);
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	913
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	914 ## XXX FIXME XXX
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	915 ## need to check [real,complex]x[scalar,rowvec,colvec,matrix]x[u,m]
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	916
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	917 %!test
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	918 %! ## Test Jacobi elliptic functions
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	919 %! ## 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	920 %! ## David Billinghurst <David.Billinghurst@riotinto.com>
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	921 %! ## 1 February 2001
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	922 %! 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	923 %! m = [ 0.0; 1.0; 0.19; 0.81; 0.36; 0.9999999999];
2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	924 %! S = [ sin(0.25); tanh(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	925 %! 0.19842311013970879516;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	926 %! 0.19762082367187648571;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	927 %! 0.6095196917919021945;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	928 %! 0.4621171572617320908 ];
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	929 %! C = [ cos(0.25); sech(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	930 %! 0.9801164570409401062;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	931 %! 0.9802785369736752032;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	932 %! 0.7927709286533560550;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	933 %! 0.8868188839691764094 ];
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	934 %! D = [ 1.0; sech(0.25);
17308 5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	935 %! 0.9962526643271134302;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	936 %! 0.9840560289645665155;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	937 %! 0.9307281387786906491;
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	938 %! 0.8868188839812167635 ];
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	939 %! [sn,cn,dn] = ellipj (u,m);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	940 %! assert (sn,S,8*eps);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	941 %! assert (cn,C,8*eps);
5a6caf617f56 ellipj.cc: Use Octave coding conventions for %!demos and %!tests. Rik <rik@octave.org> parents: 16816 diff changeset	942 %! 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	943
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	944 %!error ellipj ()
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	945 %!error ellipj (1)
1a3bfb14b5da Add and fix tests for ellipj, ellipke, and expint Mike Miller <mtmiller@ieee.org> parents: 16584 diff changeset	946 %!error ellipj (1,2,3,4)
16584 2f766ceeb03e Add ellipj, ellipke, and expint functions from Octave Forge Mike Miller <mtmiller@ieee.org> parents: diff changeset	947 */

Mercurial > octave

annotate libinterp/corefcn/ellipj.cc @ 17308:5a6caf617f56